From a234668c7af2e2409052fe06817f939b931dad5f Mon Sep 17 00:00:00 2001
From: krassowski <krassowski.michal@gmail.com>
Date: Sat, 27 Jan 2018 16:34:52 -0100
Subject: [PATCH] Implement notched box plots, closes #2286

---
 src/traces/box/attributes.js              |  22 ++
 src/traces/box/calc.js                    |   7 +
 src/traces/box/defaults.js                |   3 +
 src/traces/box/plot.js                    |  24 +-
 test/image/baselines/box_horz_notched.png | Bin 0 -> 31025 bytes
 test/image/baselines/box_notched.png      | Bin 0 -> 29194 bytes
 test/image/mocks/box_horz_notched.json    | 287 ++++++++++++++++++++++
 test/image/mocks/box_notched.json         | 283 +++++++++++++++++++++
 8 files changed, 622 insertions(+), 4 deletions(-)
 create mode 100644 test/image/baselines/box_horz_notched.png
 create mode 100644 test/image/baselines/box_notched.png
 create mode 100644 test/image/mocks/box_horz_notched.json
 create mode 100644 test/image/mocks/box_notched.json

diff --git a/src/traces/box/attributes.js b/src/traces/box/attributes.js
index 9d5d45247ff..2b2fcaccc7a 100644
--- a/src/traces/box/attributes.js
+++ b/src/traces/box/attributes.js
@@ -85,6 +85,28 @@ module.exports = {
             'For example, with 1, the whiskers are as wide as the box(es).'
         ].join(' ')
     },
+    notched: {
+        valType: 'boolean',
+        dflt: false,
+        role: 'style',
+        editType: 'calcIfAutorange',
+        description: [
+            'Determines whether or not notches should be drawn.'
+        ].join(' ')
+    },
+    notchwidth: {
+        valType: 'number',
+        min: 0,
+        max: 1,
+        dflt: 0.5,
+        role: 'style',
+        editType: 'calcIfAutorange',
+        description: [
+            'Sets the width of the notches relative to',
+            'the box\' width.',
+            'For example, with 1, the whiskers are as wide as the box(es).'
+        ].join(' ')
+    },
     boxpoints: {
         valType: 'enumerated',
         values: ['all', 'outliers', 'suspectedoutliers', false],
diff --git a/src/traces/box/calc.js b/src/traces/box/calc.js
index 93532067058..688f2ba419f 100644
--- a/src/traces/box/calc.js
+++ b/src/traces/box/calc.js
@@ -111,6 +111,13 @@ module.exports = function calc(gd, trace) {
             cdi.lo = 4 * cdi.q1 - 3 * cdi.q3;
             cdi.uo = 4 * cdi.q3 - 3 * cdi.q1;
 
+
+            // lower and upper notches ~95% Confidence Intervals for median
+            var iqr = cdi.q3 - cdi.q1;
+            var mci = 1.57 * iqr / Math.sqrt(bvLen);
+            cdi.ln = cdi.med - mci;
+            cdi.un = cdi.med + mci;
+
             cd.push(cdi);
         }
     }
diff --git a/src/traces/box/defaults.js b/src/traces/box/defaults.js
index ff69dcec01d..2709b4c2612 100644
--- a/src/traces/box/defaults.js
+++ b/src/traces/box/defaults.js
@@ -29,6 +29,9 @@ function supplyDefaults(traceIn, traceOut, defaultColor, layout) {
     coerce('whiskerwidth');
     coerce('boxmean');
 
+    coerce('notched');
+    coerce('notchwidth');
+
     handlePointsDefaults(traceIn, traceOut, coerce, {prefix: 'box'});
 }
 
diff --git a/src/traces/box/plot.js b/src/traces/box/plot.js
index 6c2864ac1ca..5cd23c409f4 100644
--- a/src/traces/box/plot.js
+++ b/src/traces/box/plot.js
@@ -101,6 +101,8 @@ function plotBoxAndWhiskers(sel, axes, trace, t) {
     var wdPos = t.wdPos || 0;
     var bPosPxOffset = t.bPosPxOffset || 0;
     var whiskerWidth = trace.whiskerwidth || 0;
+    var notched = trace.notched || false;
+    var nw = notched ? trace.notchwidth : 1;
 
     // to support for one-sided box
     var bdPos0;
@@ -125,6 +127,8 @@ function plotBoxAndWhiskers(sel, axes, trace, t) {
             var pos1 = posAxis.c2p(pos + bPos + bdPos1, true) + bPosPxOffset;
             var posw0 = posAxis.c2p(pos + bPos - wdPos, true) + bPosPxOffset;
             var posw1 = posAxis.c2p(pos + bPos + wdPos, true) + bPosPxOffset;
+            var posm0 = posAxis.c2p(pos + bPos - bdPos0 * nw, true) + bPosPxOffset;
+            var posm1 = posAxis.c2p(pos + bPos + bdPos1 * nw, true) + bPosPxOffset;
             var q1 = valAxis.c2p(d.q1, true);
             var q3 = valAxis.c2p(d.q3, true);
             // make sure median isn't identical to either of the
@@ -135,18 +139,30 @@ function plotBoxAndWhiskers(sel, axes, trace, t) {
             );
             var lf = valAxis.c2p(trace.boxpoints === false ? d.min : d.lf, true);
             var uf = valAxis.c2p(trace.boxpoints === false ? d.max : d.uf, true);
+            var ln = valAxis.c2p(d.ln, true);
+            var un = valAxis.c2p(d.un, true);
 
             if(trace.orientation === 'h') {
                 d3.select(this).attr('d',
-                    'M' + m + ',' + pos0 + 'V' + pos1 + // median line
-                    'M' + q1 + ',' + pos0 + 'V' + pos1 + 'H' + q3 + 'V' + pos0 + 'Z' + // box
+                    'M' + m + ',' + posm0 + 'V' + posm1 + // median line
+                    'M' + q1 + ',' + pos0 + 'V' + pos1 + // left edge
+                    (((notched === true)) ? 'H' + ln + 'L' + m + ',' + posm1 + 'L' + un + ',' + pos1 : '') + // top notched edge
+                    'H' + q3 + // end of the top edge
+                    'V' + pos0 + // right edge
+                    (((notched === true)) ? 'H' + un + 'L' + m + ',' + posm0 + 'L' + ln + ',' + pos0 : '') + // bottom notched edge
+                    'Z' + // end of the box
                     'M' + q1 + ',' + posc + 'H' + lf + 'M' + q3 + ',' + posc + 'H' + uf + // whiskers
                     ((whiskerWidth === 0) ? '' : // whisker caps
                         'M' + lf + ',' + posw0 + 'V' + posw1 + 'M' + uf + ',' + posw0 + 'V' + posw1));
             } else {
                 d3.select(this).attr('d',
-                    'M' + pos0 + ',' + m + 'H' + pos1 + // median line
-                    'M' + pos0 + ',' + q1 + 'H' + pos1 + 'V' + q3 + 'H' + pos0 + 'Z' + // box
+                    'M' + posm0 + ',' + m + 'H' + posm1 + // median line
+                    'M' + pos0 + ',' + q1 + 'H' + pos1 + // top of the box
+                    (((notched === true)) ? 'V' + ln + 'L' + posm1 + ',' + m + 'L' + pos1 + ',' + un : '') + // notched right edge
+                    'V' + q3 + // end of the right edge
+                    'H' + pos0 + // bottom of the box
+                    (((notched === true)) ? 'V' + un + 'L' + posm0 + ',' + m + 'L' + pos0 + ',' + ln : '') + // notched left edge
+                    'Z' + // end of the box
                     'M' + posc + ',' + q1 + 'V' + lf + 'M' + posc + ',' + q3 + 'V' + uf + // whiskers
                     ((whiskerWidth === 0) ? '' : // whisker caps
                         'M' + posw0 + ',' + lf + 'H' + posw1 + 'M' + posw0 + ',' + uf + 'H' + posw1));
diff --git a/test/image/baselines/box_horz_notched.png b/test/image/baselines/box_horz_notched.png
new file mode 100644
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diff --git a/test/image/mocks/box_horz_notched.json b/test/image/mocks/box_horz_notched.json
new file mode 100644
index 00000000000..0fb6d4df661
--- /dev/null
+++ b/test/image/mocks/box_horz_notched.json
@@ -0,0 +1,287 @@
+{
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+   ],
+   "layout":{
+      "showlegend":false,
+      "xaxis":{
+         "title":"Grade [%]",
+         "type":"linear"
+      },
+      "title":"Based on Fig 4.4a: Course Grade Distributions",
+      "yaxis":{
+         "type":"category"
+      },
+      "height":598,
+      "width":1080,
+      "autosize":true
+   }
+}
diff --git a/test/image/mocks/box_notched.json b/test/image/mocks/box_notched.json
new file mode 100644
index 00000000000..2685af119ac
--- /dev/null
+++ b/test/image/mocks/box_notched.json
@@ -0,0 +1,283 @@
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+            64.1,
+            76.2,
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+            68.9,
+            60.8,
+            64.5,
+            87.7,
+            21,
+            97.6,
+            90.9,
+            86.6,
+            100,
+            33.6,
+            82.7,
+            63.599999999999994,
+            55.5,
+            80.7,
+            85,
+            92.30000000000001,
+            48.9,
+            85
+         ],
+         "line":{
+            "color":"#1c9099"
+         },
+         "type":"box",
+         "name":"Outside of hinges",
+         "notched":true
+      }
+   ],
+   "layout":{
+      "showlegend":false,
+      "yaxis":{
+         "title":"Grade [%]",
+         "type":"linear"
+      },
+      "title":"Based on Fig 4.4a: Course Grade Distributions",
+      "xaxis":{
+         "type":"category"
+      },
+      "height":598,
+      "width":1080,
+      "autosize":true
+   }
+}