Marriage Sort Visualization

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visualization.html

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<!-- Copyright Eric Burnett, 2012.
Based with permission on code by Mike Bostock, from https://github.com/mbostock/bost.ocks.org/tree/gh-pages/mike/shuffle. If you want to re-use this code, email me. I cannot grant  all of it. 
This gist is the source code for the visualization on http://www.thelowlyprogrammer.com/2012/01/marriage-sort-visualization.html - see there for more details.
-->

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.play path {
  stroke: #fff;
  stroke-width: 6px;
}

.play:hover path {
  fill: red;
}

.play rect {
  fill: none;
  pointer-events: all;
  cursor: pointer;
}
</style>

<script src="d3.min.js"></script>
<script>

var margin = {top: 10, right: 24, bottom: 10, left: 24},
    width = 500,
    height = 60 - margin.top - margin.bottom,
    size = height * .8;

var n = 60;

var tick = 600,
    animate = 450;  // Should be a multiple of 3.

var COLOR_IDLE = "#999",
    COLOR_DONE = "#000",
    COLOR_ANIMATING = "#000",
    COLOR_KEY = "red",
    COLOR_PARTITION = "#900",
    COLOR_KEY_ANIMATING = "red";

var STROKE = "2px",
    STROKE_BOLD = "4px";

var x = d3.scale.ordinal()
    .domain(d3.range(n))
    .rangePoints([0, width]);

var y = d3.scale.linear()
    .domain([0, n - 1])
    .range([-Math.PI / 6, Math.PI / 6]);

// In place shuffle.
function shuffle(list) {
  for (rem = list.length; rem > 0; --rem) {
    var next = Math.floor(Math.random() * rem)  // [0..rem)
    var tmp = list[next]
    list[next] = list[rem-1];
    list[rem-1] = tmp;
  }
  return list;
}

// Swap of two lines. Colors can optionally be specified for during the transition,
// however post-transition all lines are made black.
function swap(line, a, b, color_a, color_b) {
  if (color_a == undefined) {
    color_a = COLOR_ANIMATING;
  }
  if (color_b == undefined) {
    color_b = COLOR_ANIMATING;
  }
  if (a == b ) {
    d3.select(line[0][a])
        .style("stroke", COLOR_DONE)
        .style("stroke-width", STROKE);
    return;
  } else if (a > b) {
    // Swap indices for simplicity.
    var t = b;
    b = a;
    a = t;
    t = color_b;
    color_b = color_a;
    color_a = t;
  }
  var b_out = line[0].splice(b, 1)[0],
      a_out = line[0].splice(a, 1)[0];
  line[0].splice(a, 0, b_out);
  line[0].splice(b, 0, a_out);

  d3.select(a_out)
      .style("stroke", color_a)
      .style("stroke-width", STROKE_BOLD)
    .transition()
      .duration(animate)
      .attr("transform", "translate(" + x(b) + ", " + height + ")");
  setTimeout(function() {
    d3.select(a_out)
        .style("stroke", COLOR_DONE)
        .style("stroke-width", STROKE);
  }, animate);

  d3.select(b_out)
      .style("stroke", color_b)
      .style("stroke-width", STROKE_BOLD)
    .transition()
      .duration(animate)
      .attr("transform", "translate(" + x(a) + ", " + height + ")");
  setTimeout(function() {
    d3.select(b_out)
        .style("stroke", COLOR_DONE)
        .style("stroke-width", STROKE);
  }, animate);
}

// Remove line at 'src' and place it at 'dst', moving over all the intermediate
//  lines in the process. src will end up immediately to the left of the value
//  currently in 'dst'.
function insert(line, src, dst) {
  if (dst - src == 2) {
    swap(line, src, src+1);
    return;
  } else if (src - dst == 1) {
    swap(line, src, dst);
    return;
  }

  var out = line[0].splice(src, 1)[0];
  if (src > dst) {
    line[0].splice(dst, 0, out);
  } else {
    line[0].splice(dst-1, 0, out);
  }

  // Animate primary line:
  d3.select(out)
      .style("stroke", COLOR_ANIMATING)
      .style("stroke-width", STROKE_BOLD)
    .transition()
      .duration(animate)
      .attr("transform", "translate(" + x(src > dst ? dst : dst-1) + ", " + height + ")");
  setTimeout(function() {
    d3.select(out)
        .style("stroke", COLOR_DONE)
        .style("stroke-width", STROKE);
  }, animate);

  // Animate intermediate lines:
  var min, max, dir;
  if (src > dst) {
    min = dst + 1;
    max = src;
    dir = 1;
  } else {
    min = src;
    max = dst - 1;
    dir = -1;
  }
  var count = max - min + 1;
  var mid = (count - 1) / 2;
  line.filter(function(d, i) { return i >= min && i <= max; })
    .transition()
      .duration(animate/3)
      .delay(function(d, i) { return animate/3 + animate/6 * (i - mid) / mid * -dir; })
      .attr("transform", function(d, i) { return "translate(" + x(min+i) + ", " + height + ")"; });
}

function chart(stage1, stage2) {
  var m = n;

  // Combat disqus script duplication.
  if (d3.selectAll("svg#chart1")[0].length != 0) {
    return;
  }

  var svg = d3.select("div#chart").append("svg")
      .attr("width", width + margin.left + margin.right)
      .attr("height", height + margin.top + margin.bottom)
      .attr("id", "chart1")
      .style("margin-left", margin.left + "px")
      .style("margin-right", margin.right + "px")
    .append("g")
      .attr("transform", "translate(" + margin.left + "," + margin.top + ")");

  var line = svg.selectAll(".line")
      .data(d3.range(n))
    .enter().append("line")
      .attr("class", "line")
      .attr("x2", function(d) { return size * Math.sin(y(d)); })
      .attr("y2", function(d) { return -size * Math.cos(y(d)); })
      .attr("transform", function(d, i) { return "translate(" + x(i) + "," + height + ")"; });

  var play = svg.append("g")
      .attr("class", "play")
      .on("click", start);

  play.append("path")
      .attr("d", "M-30,-30L30,0L-30,30Z")
      .attr("transform", "translate(" + width / 2 + "," + height / 2 + ")scale(.6)");

  play.append("rect")
      .attr("width", width)
      .attr("height", height);

  function start() {
    play.style("display", "none");

    line = svg.selectAll(".line")
        .data(shuffle(d3.range(n)))
        .attr("x2", function(d) { return size * Math.sin(y(d)); })
        .attr("y2", function(d) { return -size * Math.cos(y(d)); })
        .attr("transform", function(d, i) { return "translate(" + x(i) + "," + height + ")"; })
        .style("stroke", COLOR_IDLE);

    var pause = 0,
        pass = 1,
        stage1Data = new Object();
    var interval = setInterval(function() {
      if (pause > 0) {
        pause--;
        return;
      }
      switch(pass) {
        case 1:
          if (!(m = stage1(line, stage1Data, m))) {
            m = n;
            pass = 2;
            pause = 2;
            // Wait for all trailing animations before running this.
            setTimeout(function() {
              line.transition()
                  .duration(animate*1/3)
                  .delay(function(d, i) { return (animate*2/3)/n * i })
                  .style("stroke", COLOR_IDLE)
                  .style("stroke-width", STROKE);
            }, tick);
          }
          break;
        case 2:
          if (!(m = stage2(line, m))) {
            m = n;
            pass = 3;
          }
          break;
        case 3:
          clearInterval(interval);
          setTimeout(function() {
            play.style("display", null);
            line = svg.selectAll(".line")
                .data(d3.range(n))
                .attr("x2", function(d) { return size * Math.sin(y(d)); })
                .attr("y2", function(d) { return -size * Math.cos(y(d)); })
                .attr("transform", function(d, i) { return "translate(" + x(i) + "," + height + ")"; })
                .style("stroke", COLOR_IDLE);
          }, 5000);
          break;
      }
    }, tick);
  }

  return svg;
}

function stage1(line, data, m) {
  if (data.prefix == undefined) {
    // Initialize data container.
    data.prefix = null;
    data.on = 0;
    data.key = null;
  }
  if (data.key == null) {
    // Start of a new pass.
    data.prefix = ~~Math.sqrt(m-1);
    if (data.prefix <= 0) {
      // stage is done.
      return 0;
    }

    // Find maximum bar from prefix, to use as the key.
    data.key = 0;
    for (var i = 1; i < data.prefix; ++i) {
      if (line[0][i].__data__ > line[0][data.key].__data__) {
        data.key = i;
      }
    }

    // Re-color the active region for this pass.
    line.select(function(d, i) { return i < m ? this : null })
      .style("stroke", function(d, i) { return i < data.prefix ? (i == data.key ? COLOR_KEY : COLOR_PARTITION) : COLOR_IDLE; })
      .style("stroke-width", function(d, i) { return i == data.key ? STROKE_BOLD : STROKE; });

    // Next entry, start scanning immediately after the prefix.
    data.on = data.prefix;
    return m;
  }

  // Mid pass: start by checking for elements at end to skip.
  while (m > data.prefix && line[0][m-1].__data__ >= line[0][data.key].__data__) {
    d3.select(line[0][m-1])
        .style("stroke", COLOR_DONE);
    m--;
  }

  // Next, find one element from the front to swap forward.
  while (data.on < m - 1 && line[0][data.on].__data__ < line[0][data.key].__data__) {
    data.on++;
  }
  if (data.on >= m - 1) {
    // None left - pass is done.
    swap(line, data.key, m-1, COLOR_KEY_ANIMATING);
    data.key = null;
    return m-1;
  }
  swap(line, data.on, m-1);
  return m-1;
}

function stage2(line, m) {
  // Insertion sort, from right to left.
  if (m == n) {
    d3.select(line[0][m-1])
        .style("stroke", COLOR_DONE);
    return m-1;
  }
  while (m > 0 && line[0][m-1].__data__ < line[0][m].__data__) {
    d3.select(line[0][m-1])
        .style("stroke", COLOR_DONE);
    m--;
  }
  if (m == 0) {
    return 0;
  }
  
  // m-1 needs to be slid forward. Find the destination:
  var dst = m;
  for (; dst < line[0].length; dst++) {
    if (line[0][m-1].__data__ < line[0][dst].__data__) {
      break;
    }
  }
  insert(line, m-1, dst);
  return m-1;
}

chart(stage1, stage2);

</script>
</body></html>