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.
Last active
February 9, 2016 01:54
Quicksort II
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license: gpl-3.0 |
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<!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> |
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