A static visualization of mergesort. Each row represents the state of the array after a single pass. The size of the sorted subarrays doubles with each successive pass.
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February 9, 2016 01:54
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Mergesort III
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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-width: 1.5px; | |
stroke-linecap: round; | |
} | |
.line--inactive { | |
stroke: #ddd; | |
stroke-width: 1px; | |
} | |
</style> | |
<body> | |
<script src="//d3js.org/d3.v3.min.js"></script> | |
<script> | |
var n = 200, | |
array = d3.shuffle(d3.range(n)), | |
arrays = mergesort(array.slice()); | |
var margin = {top: 6, right: 30, bottom: 6, left: 30}, | |
width = 960 - margin.left - margin.right, | |
height = 50 - 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(arrays) | |
.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) + ")"; }) | |
.attr("y2", -height); | |
function mergesort(array) { | |
var arrays = [array.slice()], | |
n = array.length, | |
array0 = array, | |
array1 = new Array(n); | |
for (var m = 1; m < n; m <<= 1) { | |
for (var i = 0; i < n; i += (m << 1)) { | |
merge(i, Math.min(i + m, n), Math.min(i + (m << 1), n)); | |
} | |
arrays.push(array1.slice()); | |
array = array0, array0 = array1, array1 = array; | |
} | |
function merge(left, right, end) { | |
for (var i0 = left, i1 = right, j = left; j < end; ++j) { | |
array1[j] = array0[i0 < right && (i1 >= end || array0[i0] <= array0[i1]) ? i0++ : i1++]; | |
} | |
} | |
return arrays; | |
} | |
d3.select(self.frameElement).style("height", (height + margin.top + margin.bottom) * arrays.length + 20 + "px"); | |
</script> |
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