Interpolation with Balloon Layout

readme.json

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readme.py

#!/usr/bin/env python
"""
Generates a random tree, where each leaf node has a list
of dictionaries with timestamp and size key-value pairs.

Each timestamp given is from a discrete
range of time intervals
"""

import json
from random import choice, randint, random

times = range(0, 200, 5)  # start, end, interval
sizes = range(1, 20) + range(100, 300)

nesting_limit = 3
nesting_p = 0.2  # probability that nesting will occur
child_limit = 10


def flip_coin():
    return randint(1, 2) == 1


def gen_leaf_node(id, nestings):
    node_data = {'_id': id}

    # for each item in subset of the total times,
    # generate a dictionary of time and size key-value pairs
    node_data['data'] = dict(
        ((t, choice(sizes)) for t in times if flip_coin()))

    return node_data, id


def gen_inner_node(id, nestings):
    node_data = {'_id': id}

    child_count = randint(1, child_limit)
    child_id = id + 1
    children = []
    gen_node = (gen_inner_node
        if random() > nesting_p and nestings < nesting_limit
        else gen_leaf_node)
    for i in range(1, child_count):
        child, last_id = gen_node(child_id, nestings + 1)
        children.append(child)
        child_id = last_id + 1

    node_data.update({'children': children})

    return node_data, child_id


def gen():
    root, _ = gen_inner_node(0, 0)
    return {
        'times': times,
        'root': root,
    }


print json.dumps(gen())

index.html

<!DOCTYPE html>
<meta charset="utf-8">
<style>
body {
	margin: 0;
}

.node {
  fill-opacity: 0.3;
}

path.area {
  fill: #444;
}
</style>
<body>
<div id="vis"></div>
</body>
<script type="text/javascript" src="https://raw.github.com/justinvdm/d3/add-balloon-layout-compile/d3.v2.js"></script>
<script type="text/javascript" src="main.js"></script>

main.js

var times,
    root;

var frames = [],
    ids = [];

var times,
    tStart,
    tEnd; // the frame with the maximum total size

var chartHeight = 100,
    chartPadding = 10,
    chartTop = chartHeight + chartPadding;

var margin = {top: 0, right: 0, bottom: 0, left: 0},
    width = 960, 
    height = 500, 
    diameter = height - chartTop,
    radius = diameter / 2;

var tree = d3.layout.balloon()
  .size([diameter, diameter]);

var attrs = ['r', 'x', 'y', 'value'],
    attrLen = attrs.length;

var svg = d3.select("#vis").append("svg")
  .attr("width", width + margin.left + margin.right)
  .attr("height", height + margin.top + margin.bottom)
  .attr("transform", "translate(" + margin.left + "," + margin.top + ")");

var vis = svg.append("g")
  .attr("transform", "translate(" + radius + "," + radius + ")");

function computeFrames() {
  var revalue = d3.layout.hierarchy().revalue,
      nodes,
      data, tData;

  var _computeNodes = tree.nodes;
  function computeNodes() { nodes = _computeNodes(root); }

  function cloneNode(node) {
    var k = -1,
        clone = {},
        attr = null;

    while (++k < attrLen) {
      attr = attrs[k];
      clone[attr] = node[attr];
    }

    return clone;
  }

  function cloneNodes() {
    var n = nodes.length,
        clones = [],
        i = -1,
        node = null;
    
    while (++i < n) { clones.push(cloneNode(nodes[i])); }

    return clones;
  }

  // compute first frame 
  
  // init node size to 0 if it does not yet exist
  tree.value(function(d) { 
    return ((data = d.data) && (tData = data[tStart])) ? tData : 0; 
  });

  // actually compute the first layout 
  computeNodes();

  // extract an id array 
  // (prevents needing to store it for each frame)
  nodes.forEach(function(d) { ids.push(d._id); });

  // set first frame
  frames[0] = cloneNodes();

  // compute the rest of the frames
  
  var i = 0;
      t = times[1],
      tN = times.length;

  // get the nodes size at the current time or use the previous 
  // node size if it does the node does not have a size at the 
  // specified time (implying the node size has not changed 
  // since the last time frame)
  tree.value(function(d) { 
    return ((data = d.data) && (tData = data[t])) ? tData: d.value; 
  });

  // compute frame layouts
  while (++i < tN) {
    t = times[i];
    revalue(root); // revalue the hierarchy with the new t value
    computeNodes();
    frames[i] = cloneNodes();
  }
}

// interpolates each attribute of the passed in nodes
// to create a new node
function interpolateNode(node0, node1, u, v) {
  var k = -1,
      node = {},
      attr = null;

  while (++k < attrLen) {
    attr = attrs[k];
    node[attr] = (node0[attr] * u) + (node1[attr] * v);
  }

  return node;
}

// interpolate between the layouts at t0 and t1
function interpolateNodes(t, i1) {
  // compute the interpolation parameter
  // (d3 uses 't' instead of 's', but I've decided to use
  // 't' to represent time variables, so 'u' it is)
  var i0 = i1 - 1, 
      t0 = times[i0],
      t1 = times[i1];
      u = (t1 - t) / (t1 - t0);
      v = 1 - u;

  var lerps = [], // the interpolated nodes
      nodes0 = frames[i0],
      nodes1 = frames[i1],
      nodes = [],
      n = nodes0.length,
      j = -1;
      node0 = null,
      node1 = null;
  
  while (++j < n) {
    node0 = nodes0[j]; 
    node1 = nodes1[j]; 
    lerps.push(interpolateNode(node0, node1, u, v));
  }

  return lerps;
}

// draw the balloon layout at time t
var bisect = d3.bisectLeft;
function drawBalloonAt(t) {
  var i = bisect(times, t);
  console.log(i);
  
  if (i > 0) {
    drawBalloon(interpolateNodes(t, i));
  } else {
    drawBalloon(frames[tStart]);
  }
}


// accessor functions
function nid(d, i) { return ids[i]; }
function nr(d) { return d.r; }
function nx(d) { return d.x; }
function ny(d) { return d.y; }

var nodeCircles;
function drawBalloon(nodes) {
  nodeCircles = vis.selectAll("circle.node")
    .data(nodes, nid);

  nodeCircles.enter().append("circle")
    .attr("class", "node");

  d3.selectAll("circle.node")
    .attr("r", nr)
    .attr("cx", nx)
    .attr("cy", ny);
}

d3.json("./readme.json", function(json) {
  root = json.root;
  times = json.times;
  tStart = times[0];
  tEnd = times[times.length - 1];

  // compute balloon frames
  computeFrames();

  // draw first balloon frame
  drawBalloon(frames[tStart]);

  // draw chart
  
  // compute the x scale for both the chart and 
  // interpolating the balloon frames
  var chartWidth = (width - margin.left - margin.right);
  var x = d3.scale.linear()
    .domain([tStart, tEnd])
    .range([0, chartWidth]);

  var yMax = d3.max(frames, function(d) { return d[0].value; });
  var y = d3.scale.linear()
    .domain([0, yMax])
    .range([chartHeight - margin.top - margin.bottom, 0]);
 
  var area = d3.svg.area()
    .interpolate('cardinal')
    .x(function(d, i) { return x(times[i]); })
    .y0(0)
    .y1(function(d) { return -y(d[0].value); });  // root's value

  var chart = svg.append("g")
    .datum(frames)
    .attr("width", width)
    .attr("height", chartHeight)
    .attr("transform", "translate(" + 0 + "," + (diameter + chartTop) + ")");

  chart.append("path")
    .attr("class", "area")
    .attr("d", area);

  // "draw" hover overlay
  var overlay = svg.append("rect")
    .attr("class", "overlay")
    .attr("x", 0)
    .attr("y", diameter + chartPadding)
    .style("fill-opacity", 0)
    .attr("width", chartWidth)
    .attr("height", chartHeight)
    .on("mouseover", function() {
      var el = d3.select("path.area"),
          color = el.style("fill");

      // darken the chart
      el.transition()
        .duration("250")
        .style("fill", d3.rgb(color).darker());
    })
    .on("mouseout", function() {
      var el = d3.select("path.area"),
          color = el.style("fill");

      // lighten the chart
      el.transition()
        .duration("250")
        .style("fill", d3.rgb(color).brighter());
    })
    .on("mousemove", function() {
      // interpolate balloon layout at
      // mouse position and draw
      drawBalloonAt(x.invert(d3.mouse(this)[0]));
    });
});