Recidivism Transitions Chord Diagram

.block

height: 1000

README.md

Chord Diagram to show the transitions of recidivists in the SCC Homeless System.

Chords connect one type of assistance to the next that those who appear in the system multiple times. Mouseover on a chord shows the "direction" indicated by that chord.

This visual is troublesome because chord-diagrams don't show well the order of transitions.

forked from nbremer's block: Data based orientations in SVG Gradients - Final example - Avenger Movie Collaborations

bootstrap.popover.js

/* ========================================================================
 * Bootstrap: popover.js v3.1.1
 * http://getbootstrap.com/javascript/#popovers
 * ========================================================================
 * Copyright 2011-2014 Twitter, Inc.
 * Licensed under MIT (https://github.com/twbs/bootstrap/blob/master/LICENSE)
 * ======================================================================== */


+function ($) {
  'use strict';

  // POPOVER PUBLIC CLASS DEFINITION
  // ===============================

  var Popover = function (element, options) {
    this.init('popover', element, options)
  }

  if (!$.fn.tooltip) throw new Error('Popover requires tooltip.js')

  Popover.DEFAULTS = $.extend({}, $.fn.tooltip.Constructor.DEFAULTS, {
    placement: 'right',
    trigger: 'click',
    content: '',
    template: '<div class="popover"><div class="arrow"></div><h3 class="popover-title"></h3><div class="popover-content"></div></div>'
  })


  // NOTE: POPOVER EXTENDS tooltip.js
  // ================================

  Popover.prototype = $.extend({}, $.fn.tooltip.Constructor.prototype)

  Popover.prototype.constructor = Popover

  Popover.prototype.getDefaults = function () {
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  Popover.prototype.hasContent = function () {
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  Popover.prototype.getContent = function () {
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  Popover.prototype.arrow = function () {
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  Popover.prototype.tip = function () {
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    return this.$tip
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  // POPOVER PLUGIN DEFINITION
  // =========================

  var old = $.fn.popover

  $.fn.popover = function (option) {
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      var data    = $this.data('bs.popover')
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  $.fn.popover.Constructor = Popover


  // POPOVER NO CONFLICT
  // ===================

  $.fn.popover.noConflict = function () {
    $.fn.popover = old
    return this
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}(jQuery);

bootstrap.tooltip.js

/* ========================================================================
 * Bootstrap: tooltip.js v3.1.1
 * http://getbootstrap.com/javascript/#tooltip
 * Inspired by the original jQuery.tipsy by Jason Frame
 * ========================================================================
 * Copyright 2011-2014 Twitter, Inc.
 * Licensed under MIT (https://github.com/twbs/bootstrap/blob/master/LICENSE)
 * ======================================================================== */


+function ($) {
  'use strict';

  // TOOLTIP PUBLIC CLASS DEFINITION
  // ===============================

  var Tooltip = function (element, options) {
    this.type       =
    this.options    =
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    this.hoverState =
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    this.init('tooltip', element, options)
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  Tooltip.DEFAULTS = {
    animation: true,
    mouseOffset: 0,
    measure: false,
    followMouse: false,
    placement: 'top',
    selector: false,
    template: '<div class="tooltip"><div class="tooltip-arrow"></div><div class="tooltip-inner"></div></div>',
    trigger: 'hover focus',
    title: '',
    delay: 0,
    html: false,
    container: false
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    this.type     = type
    this.$element = $(element)
    this.options  = this.getOptions(options)

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                placement == 'top'    && pos.top   - docScroll   - actualHeight < 0                         ? 'bottom' :
                placement == 'right'  && pos.left  + actualWidth > parentWidth                              ? 'left'   :
                placement == 'left'   && pos.left  - actualWidth < parentLeft                               ? 'right'  :
                placement

    $tip
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      .addClass(placement)

    return placement
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  Tooltip.prototype.follow = function(e) {
    
    var $tip = this.tip()

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    var placement = typeof this.options.placement == 'function' ?
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      var autoToken = /\s?auto?\s?/i
      var autoPlace = autoToken.test(placement)
      if (autoPlace) placement = placement.replace(autoToken, '') || 'top'

    pos.left = e.pageX + this.options.mouseOffset;
    pos.top = e.pageY + this.options.mouseOffset;

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    var calculatedOffset = this.getCalculatedOffset(placement, pos, actualWidth, actualHeight, e)

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    offset.top  = offset.top  + marginTop
    offset.left = offset.left + marginLeft

    // $.fn.offset doesn't round pixel values
    // so we use setOffset directly with our own function B-0
    $.offset.setOffset($tip[0], $.extend({
      using: function (props) {
        $tip.css({
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    $tip.addClass('in')

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    var actualHeight = $tip[0].offsetHeight

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  Tooltip.prototype.replaceArrow = function (delta, dimension, position) {

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  Tooltip.prototype.setContent = function () {
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    $tip.find('.tooltip-inner')[this.options.html ? 'html' : 'text'](title)
    $tip.removeClass('fade in top bottom left right')
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  Tooltip.prototype.hide = function () {
    var that = this
    var $tip = this.tip()
    var e    = $.Event('hide.bs.' + this.type)

    function complete() {
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    $(this.options.container).off('mousemove');
    this.$element.trigger(e)

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        .emulateTransitionEnd(150) :
      complete()

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              placement == 'top'    ? { top: follow.pageY - actualHeight - this.options.mouseOffset, left: follow.pageX - (actualWidth / 2)  } :
              placement == 'left'   ? { top: follow.pageY - this.options.mouseOffset, left: follow.pageX - (actualWidth + this.options.mouseOffset) } :
                                     { top: follow.pageY - this.options.mouseOffset, left: follow.pageX + this.options.mouseOffset }
    }

    return placement == 'bottom' ? { top: pos.top + pos.height,   left: pos.left + pos.width / 2 - actualWidth / 2  } :
           placement == 'top'    ? { top: pos.top - actualHeight, left: pos.left + pos.width / 2 - actualWidth / 2  } :
           placement == 'left'   ? { top: pos.top + pos.height / 2 - actualHeight / 2, left: pos.left - actualWidth } :
                                   { top: pos.top + pos.height / 2 - actualHeight / 2, left: pos.left + pos.width   }
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  Tooltip.prototype.getTitle = function () {
    var title
    var $e = this.$element
    var o  = this.options

    title = $e.attr('data-original-title')
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    return title
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  Tooltip.prototype.tip = function () {
    return this.$tip = this.$tip || $(this.options.template)
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  Tooltip.prototype.arrow = function () {
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    self.tip().hasClass('in') ? self.leave(self) : self.enter(self)
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  Tooltip.prototype.destroy = function () {
    clearTimeout(this.timeout)
    this.hide().$element.off('.' + this.type).removeData('bs.' + this.type)
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  // TOOLTIP PLUGIN DEFINITION
  // =========================

  var old = $.fn.tooltip

  $.fn.tooltip = function (option) {
    return this.each(function () {
      var $this   = $(this)
      var data    = $this.data('bs.tooltip')
      var options = typeof option == 'object' && option

      if (!data && option == 'destroy') return
      if (!data) $this.data('bs.tooltip', (data = new Tooltip(this, options)))
      if (typeof option == 'string') data[option]()
    })
  }

  $.fn.tooltip.Constructor = Tooltip


  // TOOLTIP NO CONFLICT
  // ===================

  $.fn.tooltip.noConflict = function () {
    $.fn.tooltip = old
    return this
  }

}(jQuery);

d3.layout.chord.sort.js

////////////////////////////////////////////////////////////
//////////// Custom Chord Layout Function //////////////////
/////// Places the Chords in the visually best order ///////
///////////////// to reduce overlap ////////////////////////
////////////////////////////////////////////////////////////
//////// Slightly adjusted by Nadieh Bremer ////////////////
//////////////// VisualCinnamon.com ////////////////////////
////////////////////////////////////////////////////////////
////// Original from the d3.layout.chord() function ////////
///////////////// from the d3.js library ///////////////////
//////////////// Created by Mike Bostock ///////////////////
////////////////////////////////////////////////////////////

customChordLayout = function() {
	var ε = 1e-6, ε2 = ε * ε, π = Math.PI, τ = 2 * π, τε = τ - ε, halfπ = π / 2, d3_radians = π / 180, d3_degrees = 180 / π;
    var chord = {}, chords, groups, matrix, n, padding = 0, sortGroups, sortSubgroups, sortChords;
    function relayout() {
		var subgroups = {}, groupSums = [], groupIndex = d3.range(n), subgroupIndex = [], k, x, x0, i, j;
		var numSeq;
		chords = [];
		groups = [];
		k = 0, i = -1;
		  
		while (++i < n) {
			x = 0, j = -1, numSeq = [];
			while (++j < n) {
			  x += matrix[i][j];
			}
			groupSums.push(x);
			//////////////////////////////////////
			////////////// New part //////////////
			//////////////////////////////////////
			for(var m = 0; m < n; m++) {	
				numSeq[m] = (n+(i-1)-m)%n;
			}
			subgroupIndex.push(numSeq);
			//////////////////////////////////////
			//////////  End new part /////////////
			//////////////////////////////////////
			k += x;
		  }//while
	  
		k = (τ - padding * n) / k;
		x = 0, i = -1;
		while (++i < n) {
			x0 = x, j = -1;
			while (++j < n) {
				var di = groupIndex[i], dj = subgroupIndex[di][j], v = matrix[di][dj], a0 = x, a1 = x += v * k;
				subgroups[di + "-" + dj] = {
					index: di,
					subindex: dj,
					startAngle: a0,
					endAngle: a1,
					value: v
				};
			}//while
			
			groups[di] = {
				index: di,
				startAngle: x0,
				endAngle: x,
				value: (x - x0) / k
			};
			x += padding;
		}//while

		i = -1;
		while (++i < n) {
			j = i - 1;
			while (++j < n) {
				var source = subgroups[i + "-" + j], target = subgroups[j + "-" + i];
				if (source.value || target.value) {
					chords.push(source.value < target.value ? {
						source: target,
						target: source
					} : {
						source: source,
						target: target
					});
				}//if
			}//while
		}//while
      if (sortChords) resort();
    }//function relayout
	
    function resort() {
      chords.sort(function(a, b) {
        return sortChords((a.source.value + a.target.value) / 2, (b.source.value + b.target.value) / 2);
      });
    }
    chord.matrix = function(x) {
      if (!arguments.length) return matrix;
      n = (matrix = x) && matrix.length;
      chords = groups = null;
      return chord;
    };
    chord.padding = function(x) {
      if (!arguments.length) return padding;
      padding = x;
      chords = groups = null;
      return chord;
    };
    chord.sortGroups = function(x) {
      if (!arguments.length) return sortGroups;
      sortGroups = x;
      chords = groups = null;
      return chord;
    };
    chord.sortSubgroups = function(x) {
      if (!arguments.length) return sortSubgroups;
      sortSubgroups = x;
      chords = null;
      return chord;
    };
    chord.sortChords = function(x) {
      if (!arguments.length) return sortChords;
      sortChords = x;
      if (chords) resort();
      return chord;
    };
    chord.chords = function() {
      if (!chords) relayout();
      return chords;
    };
    chord.groups = function() {
      if (!groups) relayout();
      return groups;
    };
    return chord;
  };

index.html

<!DOCTYPE html>
<html>
	<head>
		<meta http-equiv="Content-Type" content="text/html;charset=utf-8"/>
		<title>Collaborations between MCU Avengers</title>
	
		<!-- D3.js -->
		<script src="https://cdnjs.cloudflare.com/ajax/libs/d3/3.5.6/d3.min.js" charset="utf-8"></script>
		
		<!-- Google Fonts -->
		<link href='https://fonts.googleapis.com/css?family=Bangers' rel='stylesheet' type='text/css'>
		<link href='https://fonts.googleapis.com/css?family=Oswald' rel='stylesheet' type='text/css'>
		<link href='https://fonts.googleapis.com/css?family=Lato:400,900' rel='stylesheet' type='text/css'>
		
		<!-- jQuery -->
		<script src="http://ajax.googleapis.com/ajax/libs/jquery/1.11.1/jquery.min.js"></script>
		<!-- Bootstrap -->
		<link href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.2/css/bootstrap.min.css" rel="stylesheet">
		<script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.2/js/bootstrap.min.js"></script>
	
		<!-- Two scripts to make the Bootstrap tooltip follow the mouse movement
			 taken from https://github.com/ghophp/bootstrap-popover-move -->
		<script src="bootstrap.tooltip.js"></script>
		<script src="bootstrap.popover.js"></script>
		
		<script src="d3.layout.chord.sort.js"></script>
		
		<style>
			body {
			  font-size: 14px;
			  font-family: 'Lato', sans-serif;
			  text-align: left;
			  color: #757575;
			  cursor: default;
			}
			
			.title {
				margin-top: 20px;
				margin-bottom: 10px;
				margin-left: 20px;
				font-size:32px;
				font-family: 'Oswald', sans-serif;
				color: #2B2B2B;
			}
			
			.texts {
				margin-left: 20px;
				margin-right: 20px;
				line-height: 140%;
			}
			
			.credit {
				color: #9E9E9E;
				font-size: 10px;
				margin-bottom: 0.5em;
			}
			
			.notes {
				color: #9E9E9E;
				font-size: 10px;
			}
			
			.popover {
				pointer-events: none;
			}
			
			#chart{
			  font-size: 10px;
			  font-family: 'Bangers', sans-serif;
			  text-align: center;
			  fill: #2B2B2B;
			}
			
			@media (min-width: 600px) {
				#chart{
					font-size: 16px;
				}
			}
		</style>
	</head>
	<body>
	
		<div class = "title">Transitions for Recitivists</div>
		<div class = "explanation texts">
			<p style="margin-bottom: 0em;">The Chord Diagram below shows the behavior of recivists as they move from one service to another.</p>
			<p style="margin-top: 0.5em;">Note that transitions are not symmetric, so the flow matters. We also don't show people who return to the same kind of service.</p></div>
		<div id = "chart"></div>
		<div class="credit texts">Modified from the example by Nadieh Bremer | Modified by Bryan Bischof</div>
		<div class = "notes texts">
			Part of the DataKind Summer 2016 datadive in conjunction with Santa Clara County Homelessness Effort</div>
 
		<script src="script.js"></script>

  </body>
</html>

script.js

////////////////////////////////////////////////////////////
//////////////////////// Set-Up ////////////////////////////
////////////////////////////////////////////////////////////

var margin = {left:20, top:20, right:20, bottom:20},
	width = Math.min(window.innerWidth, 700) - margin.left - margin.right,
    height = Math.min(window.innerWidth, 700) - margin.top - margin.bottom,
    innerRadius = Math.min(width, height) * .39,
    outerRadius = innerRadius * 1.1;
	
var Names = ["Black Widow","Captain America","Hawkeye","the Hulk","Iron Man","Thor"],
	colors = ["#301E1E", "#083E77", "#342350", "#567235", "#8B161C", "#DF7C00"],
	opacityDefault = 0.8;

var Names = [ "Emergency Shelter", "PH - Dis", "PH - HO", "Transitional Housing", "St Out", "Other", "Services Only", "PH-Rap Re", " Safe Haven", "PH - Housing with Services (no disability required)", "Homeless Prevention"],
	colors = ["#301E1E", "#083E77", "#342350", "#567235", "#8B161C", "#FFFF00", "#DF7C00", "#ff00ff", "#ff0000", "#DF7C00", "#DF7C00"],
	opacityDefault = 0.8;

var matrix = [[0, 350, 0, 1845, 471, 399, 6525, 403, 76, 3, 31],
[250, 0, 0, 31, 11, 56, 481, 15, 0, 16, 2],
[1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0],
[1066, 118, 0, 0, 32, 73, 898, 208, 8, 1, 21],
[389, 15, 0, 45, 0, 15, 223, 61, 0, 0, 2],
[496, 41, 0, 99, 16, 0, 456, 39, 0, 0, 20],
[4459, 697, 0, 830, 185, 478, 0, 374, 8, 4, 53],
[239, 9, 0, 148, 25, 32, 282, 223, 0, 0, 47],
[29, 13, 0, 9, 3, 3, 20, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0],
[11, 1, 0, 4, 0, 16, 15, 2, 0, 0, 0]]

////////////////////////////////////////////////////////////
/////////// Create scale and layout functions //////////////
////////////////////////////////////////////////////////////

var colors = d3.scale.ordinal()
    .domain(d3.range(Names.length))
	.range(colors);

//A "custom" d3 chord function that automatically sorts the order of the chords in such a manner to reduce overlap	
var chord = customChordLayout()
    .padding(.15)
    .sortChords(d3.descending) //which chord should be shown on top when chords cross. Now the biggest chord is at the bottom
	.matrix(matrix);
		
var arc = d3.svg.arc()
    .innerRadius(innerRadius*1.01)
    .outerRadius(outerRadius);

var path = d3.svg.chord()
	.radius(innerRadius);
	
////////////////////////////////////////////////////////////
////////////////////// Create SVG //////////////////////////
////////////////////////////////////////////////////////////
	
var svg = d3.select("#chart").append("svg")
    .attr("width", width + margin.left + margin.right)
    .attr("height", height + margin.top + margin.bottom)
	.append("g")
    .attr("transform", "translate(" + (width/2 + margin.left) + "," + (height/2 + margin.top) + ")");

////////////////////////////////////////////////////////////
/////////////// Create the gradient fills //////////////////
////////////////////////////////////////////////////////////

//Function to create the id for each chord gradient
function getGradID(d){ return "linkGrad-" + d.source.index + "-" + d.target.index; }

//Create the gradients definitions for each chord
var grads = svg.append("defs").selectAll("linearGradient")
	.data(chord.chords())
   .enter().append("linearGradient")
	.attr("id", getGradID)
	.attr("gradientUnits", "userSpaceOnUse")
	.attr("x1", function(d,i) { return innerRadius * Math.cos((d.source.endAngle-d.source.startAngle)/2 + d.source.startAngle - Math.PI/2); })
	.attr("y1", function(d,i) { return innerRadius * Math.sin((d.source.endAngle-d.source.startAngle)/2 + d.source.startAngle - Math.PI/2); })
	.attr("x2", function(d,i) { return innerRadius * Math.cos((d.target.endAngle-d.target.startAngle)/2 + d.target.startAngle - Math.PI/2); })
	.attr("y2", function(d,i) { return innerRadius * Math.sin((d.target.endAngle-d.target.startAngle)/2 + d.target.startAngle - Math.PI/2); })

//Set the starting color (at 0%)
grads.append("stop")
	.attr("offset", "0%")
	.attr("stop-color", function(d){ return colors(d.source.index); });

//Set the ending color (at 100%)
grads.append("stop")
	.attr("offset", "100%")
	.attr("stop-color", function(d){ return colors(d.target.index); });
		
////////////////////////////////////////////////////////////
////////////////// Draw outer Arcs /////////////////////////
////////////////////////////////////////////////////////////

var outerArcs = svg.selectAll("g.group")
	.data(chord.groups)
	.enter().append("g")
	.attr("class", "group")
	.on("mouseover", fade(.1))
	.on("mouseout", fade(opacityDefault));

outerArcs.append("path")
	.style("fill", function(d) { return colors(d.index); })
	.attr("d", arc)
	.each(function(d,i) {
		//Search pattern for everything between the start and the first capital L
		var firstArcSection = /(^.+?)L/; 	

		//Grab everything up to the first Line statement
		var newArc = firstArcSection.exec( d3.select(this).attr("d") )[1];
		//Replace all the comma's so that IE can handle it
		newArc = newArc.replace(/,/g , " ");
		
		//If the end angle lies beyond a quarter of a circle (90 degrees or pi/2) 
		//flip the end and start position
		if (d.endAngle > 90*Math.PI/180 & d.startAngle < 270*Math.PI/180) {
			var startLoc 	= /M(.*?)A/,		//Everything between the first capital M and first capital A
				middleLoc 	= /A(.*?)0 0 1/,	//Everything between the first capital A and 0 0 1
				endLoc 		= /0 0 1 (.*?)$/;	//Everything between the first 0 0 1 and the end of the string (denoted by $)
			//Flip the direction of the arc by switching the start en end point (and sweep flag)
			//of those elements that are below the horizontal line
			var newStart = endLoc.exec( newArc )[1];
			var newEnd = startLoc.exec( newArc )[1];
			var middleSec = middleLoc.exec( newArc )[1];
			
			//Build up the new arc notation, set the sweep-flag to 0
			newArc = "M" + newStart + "A" + middleSec + "0 0 0 " + newEnd;
		}//if
		
		//Create a new invisible arc that the text can flow along
		svg.append("path")
			.attr("class", "hiddenArcs")
			.attr("id", "arc"+i)
			.attr("d", newArc)
			.style("fill", "none");
	});

////////////////////////////////////////////////////////////
////////////////// Append Names ////////////////////////////
////////////////////////////////////////////////////////////

//Append the label names on the outside
outerArcs.append("text")
	.attr("class", "titles")
	.attr("dy", function(d,i) { return (d.endAngle > 90*Math.PI/180 & d.startAngle < 270*Math.PI/180 ? 25 : -16); })
   .append("textPath")
	.attr("startOffset","50%")
	.style("text-anchor","middle")
	.attr("xlink:href",function(d,i){return "#arc"+i;})
	.text(function(d,i){ return Names[i]; });
	
////////////////////////////////////////////////////////////
////////////////// Draw inner chords ///////////////////////
////////////////////////////////////////////////////////////
  
svg.selectAll("path.chord")
	.data(chord.chords)
	.enter().append("path")
	.attr("class", "chord")
	.style("fill", function(d){ return "url(#" + getGradID(d) + ")"; })
	.style("opacity", opacityDefault)
	.attr("d", path)
	.on("mouseover", mouseoverChord)
	.on("mouseout", mouseoutChord);

////////////////////////////////////////////////////////////
////////////////// Extra Functions /////////////////////////
////////////////////////////////////////////////////////////

//Returns an event handler for fading a given chord group.
function fade(opacity) {
  return function(d,i) {
    svg.selectAll("path.chord")
        .filter(function(d) { return d.source.index !== i && d.target.index !== i; })
		.transition()
        .style("opacity", opacity);
  };
}//fade

//Highlight hovered over chord
function mouseoverChord(d,i) {
  
	//Decrease opacity to all
	svg.selectAll("path.chord")
		.transition()
		.style("opacity", 0.1);
	//Show hovered over chord with full opacity
	d3.select(this)
		.transition()
        .style("opacity", 1);
  
	//Define and show the tooltip over the mouse location
	$(this).popover({
		placement: 'auto top',
		container: 'body',
		mouseOffset: 10,
		followMouse: true,
		trigger: 'hover',
		html : true,
		content: function() { 
			return "<p style='font-size: 10px; text-align: center;'><span style='font-weight:900'>" + Names[d.source.index] + 
				   "</span> individuals transitioned into <span style='font-weight:900'>" + Names[d.target.index] + 
				   "</span> in <span style='font-weight:900'>" + d.source.value + "</span> cases. </p>"; }
	});
	$(this).popover('show');
}//mouseoverChord

//Bring all chords back to default opacity
function mouseoutChord(d) {
	//Hide the tooltip
	$('.popover').each(function() {
		$(this).remove();
	}); 
	//Set opacity back to default for all
	svg.selectAll("path.chord")
		.transition()
		.style("opacity", opacityDefault);
}//function mouseoutChord