Particle Edges Dendrogram

README.md

Particle edges from d3_glyphEdges are the most difficult edge type to implement. Here's an example using a dendrogram and the connecting paths from the dendrogram. Remember that d3_glyphEdge.mutate.particle mutates the edge data object, spawning new particles, updating the position of existing particles and deleting particles that have reached the end of the path, and it's this array that you use to represent the particles (either with SVG as in this example or, if you're dealing with a lot of particles, probably canvas). As such, an edge object needs to have, along with .source and .target, .frequency (a positive number) to indicate the number of particles created per tick and .particles (an array) to hold the created particles.

d3_glyphEdge.mutate.particle does not include its own tick function so you need to create your own. This example uses d3.timer whereas this network example uses the built-in tick function in d3.layout.force.

d3-glyphEdge.js

(function (global, factory) {
        typeof exports === 'object' && typeof module !== 'undefined' ? factory(exports) :
        typeof define === 'function' && define.amd ? define('d3-glyphEdge', ['exports'], factory) :
        factory((global.d3_glyphEdge = {}));
}(this, function (exports) { 'use strict';

        function halfArrow(d, nodeTargetSize, bodySize, headSize) {
            var diffX = d.target.y - d.source.y;
            var diffY = d.target.x - d.source.x;

            var headDistance = headSize * 3;

            var angle0 = ( Math.atan2( diffY, diffX ) + ( Math.PI / 2 ) );
            var angle1 = angle0 - ( Math.PI / 2 );
            var angle2 = angle0 + ( Math.PI / 2 );

            var x1 = d.source.x + (headSize * Math.cos(angle1));
            var y1 = d.source.y - (headSize * Math.sin(angle1));
            var x2 = d.source.x + (headSize * Math.cos(angle2));
            var y2 = d.source.y - (headSize * Math.sin(angle2));
            
            var x3 = d.target.x - (headSize * Math.cos(angle1));
            var y3 = d.target.y + (headSize * Math.sin(angle1));

            var mx1 = d.source.x + (bodySize * Math.cos(angle1));
            var my1 = d.source.y - (bodySize * Math.sin(angle1));
            var mx2 = d.source.x + (bodySize * Math.cos(angle2));
            var my2 = d.source.y - (bodySize * Math.sin(angle2));

            var mx3 = d.target.x + (bodySize * Math.cos(angle1));
            var my3 = d.target.y - (bodySize * Math.sin(angle1));

            var dY = d.source.y - d.target.y;
            var dX = d.source.x - d.target.x;

            var midDiffY1 = my1 - my3;
            var midDiffX1 = mx1 - mx3;

            var diffY1 = y1 - y3;
            var diffX1 = x1 - x3;

            var pythag = Math.sqrt((midDiffX1 * midDiffX1) + (midDiffY1 * midDiffY1));
            var pythag2 = Math.sqrt((dX * dX) + (dY * dY));

            var adjX1 = mx2 - ((midDiffX1 * (pythag - headDistance - nodeTargetSize)) / pythag);
            var adjY1 = my2 - ((midDiffY1 * (pythag - headDistance - nodeTargetSize)) / pythag);

            var headX1 = x2 - ((diffX1 * (pythag - headDistance - nodeTargetSize)) / pythag);
            var headY1 = y2 - ((diffY1 * (pythag - headDistance - nodeTargetSize)) / pythag);

            var tipX = d.source.x - ((dX * (pythag2 - nodeTargetSize)) / pythag2);
            var tipY = d.source.y - ((dY * (pythag2 - nodeTargetSize)) / pythag2);

            return "M" + d.source.x + "," + d.source.y + "L" + mx2 + "," + my2 + "L" + adjX1 + "," + adjY1 + "L" + headX1 + "," + headY1 + "L" + tipX + "," + tipY + "L" + d.source.x + "," + d.source.y + "z";
        };

        function lineArc(d) {
          var dx = d.target.x - d.source.x,
              dy = d.target.y - d.source.y,
              dr = Math.sqrt(dx * dx + dy * dy);
          return "M" + d.source.x + "," + d.source.y + "A" + dr + "," + dr + " 0 0,1 " + d.target.x + "," + d.target.y;
        };

        function ribbon(d, bodySize) {
                var diffX = d.target.y - d.source.y;
                var diffY = d.target.x - d.source.x;

                var angle0 = ( Math.atan2( diffY, diffX ) + ( Math.PI / 2 ) );
                var angle1 = angle0 - ( Math.PI / 2 );
                var angle2 = angle0 + ( Math.PI / 2 );

                var mx1 = d.source.x + (bodySize * Math.cos(angle1));
                var my1 = d.source.y - (bodySize * Math.sin(angle1));
                var mx2 = d.source.x + (bodySize * Math.cos(angle2));
                var my2 = d.source.y - (bodySize * Math.sin(angle2));

                var mx3 = d.target.x - (bodySize * Math.cos(angle1));
                var my3 = d.target.y + (bodySize * Math.sin(angle1));
                var mx4 = d.target.x - (bodySize * Math.cos(angle2));
                var my4 = d.target.y + (bodySize * Math.sin(angle2));

                return "M" + mx1 + "," + my1 + "L" + mx2 + "," + my2 + "L" + mx3 + "," + my3 + "L" + mx4 + "," + my4 + "z";
        }

        function taffy(d, nodeSourceSize, nodeTargetSize, midpointSize) {
            var diffX = d.target.y - d.source.y;
            var diffY = d.target.x - d.source.x;

            var angle0 = ( Math.atan2( diffY, diffX ) + ( Math.PI / 2 ) );
            var angle1 = angle0 - ( Math.PI / 2 );
            var angle2 = angle0 + ( Math.PI / 2 );

            var x1 = d.source.x + (nodeSourceSize * Math.cos(angle1));
            var y1 = d.source.y - (nodeSourceSize * Math.sin(angle1));
            var x2 = d.source.x + (nodeSourceSize * Math.cos(angle2));
            var y2 = d.source.y - (nodeSourceSize * Math.sin(angle2));

            var x3 = d.target.x + (nodeTargetSize * Math.cos(angle2));
            var y3 = d.target.y - (nodeTargetSize * Math.sin(angle2));
            var x4 = d.target.x + (nodeTargetSize * Math.cos(angle1));
            var y4 = d.target.y - (nodeTargetSize * Math.sin(angle1));

            var mx1 = d.source.x + (midpointSize * Math.cos(angle1));
            var my1 = d.source.y - (midpointSize * Math.sin(angle1));
            var mx2 = d.source.x + (midpointSize * Math.cos(angle2));
            var my2 = d.source.y - (midpointSize * Math.sin(angle2));

            var mx3 = d.target.x + (midpointSize * Math.cos(angle1));
            var my3 = d.target.y - (midpointSize * Math.sin(angle1));
            var mx4 = d.target.x + (midpointSize * Math.cos(angle2));
            var my4 = d.target.y - (midpointSize * Math.sin(angle2));

            var midY2 = (my1 + my3) / 2;
            var midX2 = (mx1 + mx3) / 2;
            var midY1 = (my2 + my4) / 2;
            var midX1 = (mx2 + mx4) / 2;

            return "M" + x1 + "," + y1 + "L" + x2 + "," + y2 + " L " + midX1 + "," + midY1 + " L " + x3 + "," + y3 + " L " + x4 + "," + y4 + " L " + midX2 + "," + midY2 + "z";
        };

        function nail(d, nodeSize) {
            var diffX = d.target.y - d.source.y;
            var diffY = d.target.x - d.source.x;

            var angle0 = ( Math.atan2( diffY, diffX ) + ( Math.PI / 2 ) );
            var angle1 = angle0 - ( Math.PI / 2 );
            var angle2 = angle0 + ( Math.PI / 2 );

            var x1 = d.source.x + (nodeSize * Math.cos(angle1));
            var y1 = d.source.y - (nodeSize * Math.sin(angle1));
            var x2 = d.source.x + (nodeSize * Math.cos(angle2));
            var y2 = d.source.y - (nodeSize * Math.sin(angle2));

            return "M" + x1 + "," + y1 + "L" + x2 + "," + y2 + " L " + d.target.x + "," + d.target.y + "z";
        };

        function comet(d, nodeSize) {
            var diffX = d.target.y - d.source.y;
            var diffY = d.target.x - d.source.x;

            var angle0 = ( Math.atan2( diffY, diffX ) + ( Math.PI / 2 ) );
            var angle1 = angle0 - ( Math.PI / 2 );
            var angle2 = angle0 + ( Math.PI / 2 );

            var x1 = d.target.x + (nodeSize * Math.cos(angle1));
            var y1 = d.target.y - (nodeSize * Math.sin(angle1));
            var x2 = d.target.x + (nodeSize * Math.cos(angle2));
            var y2 = d.target.y - (nodeSize * Math.sin(angle2));

            return "M" + x1 + "," + y1 + "L" + x2 + "," + y2 + " L " + d.source.x + "," + d.source.y + "z";
        };

        function arrowhead(d, nodeTargetSize, bodySize, headSize) {
            var diffX = d.target.y - d.source.y;
            var diffY = d.target.x - d.source.x;

            var headDistance = headSize * 3;

            var angle0 = ( Math.atan2( diffY, diffX ) + ( Math.PI / 2 ) );
            var angle1 = angle0 - ( Math.PI / 2 );
            var angle2 = angle0 + ( Math.PI / 2 );

            var x1 = d.source.x + (headSize * Math.cos(angle1));
            var y1 = d.source.y - (headSize * Math.sin(angle1));
            var x2 = d.source.x + (headSize * Math.cos(angle2));
            var y2 = d.source.y - (headSize * Math.sin(angle2));

            var x3 = d.target.x - (headSize * Math.cos(angle1));
            var y3 = d.target.y + (headSize * Math.sin(angle1));
            var x4 = d.target.x - (headSize * Math.cos(angle2));
            var y4 = d.target.y + (headSize * Math.sin(angle2));

            var mx1 = d.source.x + (bodySize * Math.cos(angle1));
            var my1 = d.source.y - (bodySize * Math.sin(angle1));
            var mx2 = d.source.x + (bodySize * Math.cos(angle2));
            var my2 = d.source.y - (bodySize * Math.sin(angle2));

            var mx3 = d.target.x + (bodySize * Math.cos(angle1));
            var my3 = d.target.y - (bodySize * Math.sin(angle1));
            var mx4 = d.target.x + (bodySize * Math.cos(angle2));
            var my4 = d.target.y - (bodySize * Math.sin(angle2));

            var dY = d.source.y - d.target.y;
            var dX = d.source.x - d.target.x;

            var midDiffY1 = my1 - my3;
            var midDiffX1 = mx1 - mx3;
            var midDiffY2 = my2 - my4;
            var midDiffX2 = mx2 - mx4;

            var diffY1 = y1 - y3;
            var diffX1 = x1 - x3;
            var diffY2 = y2 - y4;
            var diffX2 = x2 - x4;

            var pythag = Math.sqrt((midDiffX1 * midDiffX1) + (midDiffY1 * midDiffY1));
            var pythag2 = Math.sqrt((dX * dX) + (dY * dY));

            var adjX1 = mx2 - ((midDiffX1 * (pythag - headDistance - nodeTargetSize)) / pythag);
            var adjY1 = my2 - ((midDiffY1 * (pythag - headDistance - nodeTargetSize)) / pythag);
            var adjX2 = mx1 - ((midDiffX2 * (pythag - headDistance - nodeTargetSize)) / pythag);
            var adjY2 = my1 - ((midDiffY2 * (pythag - headDistance - nodeTargetSize)) / pythag);

            var headX2 = x1 - ((diffX2 * (pythag - headDistance - nodeTargetSize)) / pythag);
            var headY2 = y1 - ((diffY2 * (pythag - headDistance - nodeTargetSize)) / pythag);
            var headX1 = x2 - ((diffX1 * (pythag - headDistance - nodeTargetSize)) / pythag);
            var headY1 = y2 - ((diffY1 * (pythag - headDistance - nodeTargetSize)) / pythag);

            var tipX = d.source.x - ((dX * (pythag2 - nodeTargetSize)) / pythag2);
            var tipY = d.source.y - ((dY * (pythag2 - nodeTargetSize)) / pythag2);

            return "M" + mx2 + "," + my2 + "L" + adjX1 + "," + adjY1 + "L" + headX1 + "," + headY1 + "L" + tipX + "," + tipY + "L" + headX2 + "," + headY2 + "L" + adjX2 + "," + adjY2 + "L" + mx1 + "," + my1 + "z";
        };

        function parallel(d, sourceSize, targetSize, edgeNumber) {

          var diffX = d.target.y - d.source.y;
          var diffY = d.target.x - d.source.x;

          var angle0 = ( Math.atan2( diffY, diffX ) + ( Math.PI / 2 ) );
          var angle1 = angle0 + ( (Math.PI * 0.75) + (edgeNumber * 0.25) );
          var angle2 = angle0 + ( (Math.PI * 0.25) - (edgeNumber * 0.25) );

          var x1 = d.source.x + (sourceSize * Math.cos(angle1));
          var y1 = d.source.y - (sourceSize * Math.sin(angle1));
          var x2 = d.target.x + (targetSize * Math.cos(angle2));
          var y2 = d.target.y - (targetSize * Math.sin(angle2));

          return {source: {x: x1, y: y1}, target: {x: x2, y: y2}};

        }

        function offset(d, nodeSize) {
          var diffX = d.target.y - d.source.y;
          var diffY = d.target.x - d.source.x;

          var angle0 = ( Math.atan2( diffY, diffX ) + ( Math.PI / 2 ) );
          var angle1 = angle0 + ( Math.PI * 0.75 );
          var angle2 = angle0 + ( Math.PI * 0.25 );

          var x1 = d.source.x + (nodeSize * Math.cos(angle1));
          var y1 = d.source.y - (nodeSize * Math.sin(angle1));
          var x2 = d.target.x + (nodeSize * Math.cos(angle2));
          var y2 = d.target.y - (nodeSize * Math.sin(angle2));

          return {source: {x: x1, y: y1}, target: {x: x2, y: y2}};

        }

        function particle(d, path, pathWidth, speed) {
            pathWidth = pathWidth / 2;

            d.particles = d.particles.filter(function (d) {return d.current < path.getTotalLength()});

            if (d.frequency < 1) {
                if (Math.random() < d.frequency) {
                    pushParticle();
                }
            } else {
                for (var x = 0; x < d.frequency; x++) {
                    pushParticle();
                }
            }

            function pushParticle() {
                d.particles.push({current: 0, xOffset: pathWidth - (pathWidth * Math.random() * 2), yOffset: pathWidth - (pathWidth * Math.random() * 2)});
            }

            d.particles.forEach(function (particle) {
                particle.current = particle.current + speed;
                var currentPosition = path.getPointAtLength(particle.current);
                particle.x = currentPosition.x + particle.xOffset;
                particle.y = currentPosition.y + particle.yOffset;
            });
        };

        var d = {
            arrowhead: arrowhead,
            comet: comet,
            nail: nail,
            taffy: taffy,
            ribbon: ribbon,
            lineArc: lineArc,
            halfArrow: halfArrow
        };

        var project = {
            offset: offset,
            parallel: parallel
        }

        var mutate = {
            particle: particle
        }

        var version = "1.0.0";

        exports.version = version;
        exports.d = d;
        exports.project = project;
        exports.mutate = mutate;

}));

index.html

<!DOCTYPE html>

<head>
  <title>Particle Edges Dendrogram</title>
</head>
<meta charset="utf-8">
<style>

svg {
  height: 500px;
  width: 500px;
}

</style>
<body>
<div id="viz">
<svg></svg>
</div>
</body>


<script src="https://cdnjs.cloudflare.com/ajax/libs/d3/3.5.16/d3.min.js"></script>
<script src="d3-glyphEdge.js" charset="utf-8" type="text/javascript"></script>
<script>

d3.json("sotu.json", dendrogram);

function dendrogram(data) {
  data = data.values[0];

  var blahColor = d3.scale.category20c();

  treeChart = d3.layout.tree();
      treeChart.size([500,460])
      .children(function(d) {return d["values"]})

  var linkGenerator = d3.svg.diagonal()

  var chartG = d3.select("svg")
    .append("g")
    .attr("class", "dendrogram")
    .attr("transform", "translate(0,20)");

    chartG
    .selectAll("g.link")
    .data(treeChart.links(treeChart(data)))
    .enter().append("g")
    .attr("class", "link")
    .append("path")
    .attr("d", linkGenerator)
    .style("fill", "none")
    .style("stroke", "black")
    .style("stroke-width", "4px")
    .style("stroke-opacity", 0.05)
    .each(function (d) {
      //edges need a .frequency and a .particles
      //.particles is an empty array that will collect particle datapoints for this edge
      d.particles = [];
      //.frequency is the number of particles per tick or, if the value is less than 1, the percent chance of a particle to be generated during that tick
      d.frequency = Math.random() * 0.1;
      //Why not a random color for the particles on each edge?
      d.color = blahColor(parseInt(Math.random() * 20));
      //And let's set a random speed for the particles on each edge, this is the number of pixels a particle moves per tick
      d.speed = Math.random() + 1;
    })

    chartG
    .selectAll("circle")
    .data(treeChart(data))
    .enter().append("circle")
    .attr("r", 2)
    .style("stroke-width", "0.5px")
    .style("stroke-opacity", 0.75)
    .attr("cx", function (d) {return d.x})
    .attr("cy", function (d) {return d.y})
    .style("fill", "white")
    .style("stroke", "black")

  var t = d3.timer(tick, 1000);

  function tick(elapsed, time) {
    console.log("t");
    particles();
  }

}

function particles() {

    d3.selectAll("g.link")
      .each(function (d, i) {

        /* particle edges take an edge data object, an actual path from which to derive the particle position (hence why we use .node() to get the actual svg:path element associated with the selection), a width of the path to determine the jitter of the particles and a speed for the particles. */

          d3_glyphEdge.mutate.particle(d, d3.select(this).select("path").node(), 3, d.speed);

        /* d3_glyphEdge.mutate.particle mutates the .particles array of the edge sent to it, adding new particles, updating the position of existing particles and deleting particles that have reached the end of the path. We use that array to instantiate elements to represent each particle (here using SVG but you could also use canvas) */

          d3.select(this).selectAll("circle")
            .data(d.particles)
            .enter()
            .append("circle")
            .style("fill-opacity", .85)
            .style("fill", d.color)
            .attr("r", 1.5);

          d3.select(this).selectAll("circle")
            .data(d.particles)
            .exit()
            .remove();

          d3.select(this).selectAll("circle")
            .attr("cx", function (p) {return p.x})
            .attr("cy", function (p) {return p.y});
      })

}

</script>

sotu.json

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