netcdf_bench_MDA.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The purpose of this notebook is to assess the performance of `AMBER` netcdf read/write operations in the `MDAnalysis` package as it pertains to the decision to replace `netCDF4` with `scipy.io.netcdf`\n",
    "\n",
    "**CAUTION**:\n",
    "Need to restart the Jupyter notebook kernel when swapping between different MDAnalysis builds, so the results shown below are actually produced with a workflow that involves \"switching\" kernels when needed for different MDAnalysis versions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "import numpy as np\n",
    "import scipy\n",
    "import MDAnalysis\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib notebook"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#distributing these files in the github repo as well to make the notebook a bit more universal \n",
    "amber_top = 'bala.prmtop'\n",
    "amber_ncdf = 'bala.ncdf'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def test_read_ncdf(top = amber_top, traj = amber_ncdf):\n",
    "    u = MDAnalysis.Universe(top, traj)\n",
    "    \n",
    "def test_write_ncdf(universe):\n",
    "    all_selection = universe.select_atoms('all')\n",
    "    with MDAnalysis.Writer('dummy.ncdf', all_selection.n_atoms) as W:\n",
    "        for ts in universe.trajectory:\n",
    "            W.write(all_selection)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10 loops, best of 5: 118 ms per loop\n"
     ]
    }
   ],
   "source": [
    "%timeit -n 10 -r 5 test_read_ncdf() #scipy ncdf file reading -- scipy-ncdf-debug branch, commit hash: 565aa0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10 loops, best of 5: 30.1 ms per loop\n"
     ]
    }
   ],
   "source": [
    "%timeit -n 10 -r 5 test_read_ncdf() #netCDF4 ncdf file reading -- develop branch commit hash: aac24f9"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10 loops, best of 5: 41.5 ms per loop\n"
     ]
    }
   ],
   "source": [
    "%%timeit -n 10 -r 5 u = MDAnalysis.Universe(amber_top, amber_ncdf)\n",
    "test_write_ncdf(u) #netCDF4 ncdf file writing -- develop branch commit hash: aac24f9"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10 loops, best of 5: 39.6 ms per loop\n"
     ]
    }
   ],
   "source": [
    "%%timeit -n 10 -r 5 u = MDAnalysis.Universe(amber_top, amber_ncdf)\n",
    "test_write_ncdf(u) #scipy ncdf file writing -- scipy-ncdf-debug commit hash: 565aa0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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       "        alert('Your browser does not have WebSocket support.' +\n",
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       "\n",
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       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
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       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
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       "        return fig.toolbar_button_onclick(event['data']);\n",
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       "        return fig.toolbar_button_onmouseover(event['data']);\n",
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       "\n",
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       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
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       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option)\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
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       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'];\n",
       "    var y0 = fig.canvas.height - msg['y0'];\n",
       "    var x1 = msg['x1'];\n",
       "    var y1 = fig.canvas.height - msg['y1'];\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width, fig.canvas.height);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x;\n",
       "    var y = canvas_pos.y;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to  previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\">');\n",
       "    fig.send_message('closing', {});\n",
       "    fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>')\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-danger\" href=\"#\" title=\"Close figure\"><i class=\"fa fa-times icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Close figure', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#produce summary plot of initial benchmarks:\n",
    "fig_summary = plt.figure()\n",
    "ax = fig_summary.add_subplot(111)\n",
    "scipy_ncdf = [118, 39.6]\n",
    "netcdf4 = [30.1, 41.5]\n",
    "width = 0.4\n",
    "ax.bar([1,2], scipy_ncdf, width = width, label = 'scipy.io.netcdf', color = 'black', alpha = 0.7)\n",
    "ax.bar([1.405,2.405], netcdf4, width = width, label = 'netCDF4', color = 'green', alpha = 0.7)\n",
    "ax.set_ylabel('time (ms)')\n",
    "ax.set_xticks([1.4,2.4])\n",
    "ax.set_xticklabels(('read', 'write'))\n",
    "ax.legend(loc=1)\n",
    "ax.set_title('MDAnalysis scipy.io.netcdf vs. netCDF4\\n AMBER binary trajectory file initial benchmarks')\n",
    "fig_summary.savefig('summary.png', dpi = 300)"
   ]
  }
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