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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