block by mbostock eb3bf12a9d02d78480c2

Quicksort II

Full Screen

Another visualization of quicksort. Here, each row corresponds to the state of the array prior to recursing into each partition. The red lines represent the pivots.

index.html

<!DOCTYPE html>
<meta charset="utf-8">
<style>

body {
  padding: 10px 0;
}

svg {
  float: left;
}

.line {
  stroke: #000;
  stroke-linecap: round;
}

.line--pivot {
  stroke: #f00;
  stroke-width: 3px;
}

.line--inactive {
  stroke: #ddd;
}

</style>
<body>
<script src="//d3js.org/d3.v3.min.js"></script>
<script>

var n = 200,
    array = d3.shuffle(d3.range(n)),
    levels = quicksort(array);

var margin = {top: 2, right: 20, bottom: 2, left: 20},
    width = 960 - margin.left - margin.right,
    height = 30 - margin.top - margin.bottom;

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

var a = d3.scale.linear()
    .domain([0, n - 1])
    .range([-45, 45]);

var svg = d3.select("body").selectAll("svg")
    .data(levels)
  .enter().append("svg")
    .attr("width", width + margin.left + margin.right)
    .attr("height", height + margin.top + margin.bottom)
  .append("g")
    .attr("transform", "translate(" + margin.left + "," + margin.top + ")");

svg.append("g")
    .attr("class", "line")
  .selectAll("line")
    .data(function(d) { return d; })
  .enter().append("line")
    .attr("transform", function(d, i) { return "translate(" + x(i) + "," + height + ")rotate(" + a(d == null ? i : d) + ")"; })
    .attr("class", function(d, i) { return d == null ? "line--inactive" : i in this.parentNode.__data__.pivots ? "line--pivot" : null; })
    .attr("y2", -height);

function quicksort(array) {
  var levels = [];

  function partition(left, right, pivot) {
    var v = array[pivot];
    swap(pivot, --right);
    for (var i = left; i < right; ++i) if (array[i] <= v) swap(i, left++);
    swap(left, right);
    return left;
  }

  function swap(i, j) {
    var t = array[i];
    array[i] = array[j];
    array[j] = t;
  }

  function recurse(left, right, depth) {
    var pivot = (left + right) >> 1;

    if (!levels[depth]) levels[depth] = new Array(array.length), levels[depth].pivots = {};
    for (var i = left; i < right; ++i) levels[depth][i] = array[i];
    levels[depth].pivots[pivot] = 1;

    pivot = partition(left, right, pivot);
    if (left < pivot - 1) recurse(left, pivot, depth + 1);
    if (pivot + 1 < right - 1) recurse(pivot + 1, right, depth + 1);
  }

  if (array.length > 1) recurse(0, array.length, 0);
  return levels;
}

d3.select(self.frameElement).style("height", (height + margin.top + margin.bottom) * levels.length + 20 + "px");

</script>