An animated version of the quicksort network. Time progresses with each swap.
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Quicksort VI
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| license: gpl-3.0 |
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| (function() { | |
| var radians = Math.PI / 180; | |
| d3.scale.cubehelix = function() { | |
| return d3.scale.linear() | |
| .range([d3.hsl(300, .5, 0), d3.hsl(-240, .5, 1)]) | |
| .interpolate(d3.interpolateCubehelix); | |
| }; | |
| d3.interpolateCubehelix = d3_interpolateCubehelix(1); | |
| d3.interpolateCubehelix.gamma = d3_interpolateCubehelix; | |
| function d3_interpolateCubehelix(γ) { | |
| return function(a, b) { | |
| a = d3.hsl(a); | |
| b = d3.hsl(b); | |
| var ah = (a.h + 120) * radians, | |
| bh = (b.h + 120) * radians - ah, | |
| as = a.s, | |
| bs = b.s - as, | |
| al = a.l, | |
| bl = b.l - al; | |
| if (isNaN(bs)) bs = 0, as = isNaN(as) ? b.s : as; | |
| if (isNaN(bh)) bh = 0, ah = isNaN(ah) ? b.h : ah; | |
| return function(t) { | |
| var h = ah + bh * t, | |
| l = Math.pow(al + bl * t, γ), | |
| a = (as + bs * t) * l * (1 - l); | |
| return "#" | |
| + hex(l + a * (-0.14861 * Math.cos(h) + 1.78277 * Math.sin(h))) | |
| + hex(l + a * (-0.29227 * Math.cos(h) - 0.90649 * Math.sin(h))) | |
| + hex(l + a * (+1.97294 * Math.cos(h))); | |
| }; | |
| }; | |
| } | |
| function hex(v) { | |
| var s = (v = v <= 0 ? 0 : v >= 1 ? 255 : v * 255 | 0).toString(16); | |
| return v < 0x10 ? "0" + s : s; | |
| } | |
| })(); |
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| <!DOCTYPE html> | |
| <meta charset="utf-8"> | |
| <style> | |
| body { | |
| background: #333; | |
| } | |
| </style> | |
| <body> | |
| <script src="//d3js.org/d3.v3.min.js"></script> | |
| <script src="cubehelix.js"></script> | |
| <script> | |
| var n = 100, | |
| time = 0, | |
| slow = false, | |
| array = d3.shuffle(d3.range(n)), | |
| swaps = quicksort(array.slice()).reverse(), | |
| elements = array.map(function(d, i) { return {value: d, index0: null, index1: i}; }); | |
| var color = d3.scale.cubehelix() | |
| .domain([0, n / 2, n - 1]) | |
| .range([d3.hsl(-40, 1, .4), d3.hsl(60, 1, 1), d3.hsl(160, 1, .4)]); | |
| var margin = {top: 20, right: 20, bottom: 20, left: 20}, | |
| rowHeight = 20, | |
| strokeWidth = 6, | |
| width = 960 - margin.left - margin.right, | |
| height = (swaps.length + .5) * rowHeight; | |
| var x = d3.scale.ordinal() | |
| .domain(d3.range(n)) | |
| .rangePoints([0, width]); | |
| var y = d3.scale.linear() | |
| .domain([0, 1]) | |
| .range([0, rowHeight]); | |
| var canvas = d3.select("body").append("canvas") | |
| .attr("width", width + margin.left + margin.right) | |
| .attr("height", height + margin.top + margin.bottom); | |
| d3.select(window) | |
| .on("keydown", keydown) | |
| .on("keyup", keydown); | |
| var context = canvas.node().getContext("2d"); | |
| context.lineWidth = 6; | |
| context.lineCap = "round"; | |
| context.lineJoin = "round"; | |
| context.translate(margin.left, margin.top); | |
| (function next() { | |
| var time0 = time, | |
| time1 = ++time; | |
| d3.transition() | |
| .ease("linear") | |
| .duration(slow ? 2500 : 250) | |
| .each("start", function() { | |
| context.save(); | |
| context.beginPath(); | |
| context.moveTo(-strokeWidth, time0 ? y(time0) : -strokeWidth); | |
| context.lineTo(width + strokeWidth, time0 ? y(time0) : -strokeWidth); | |
| context.lineTo(width + strokeWidth, y(time1) + strokeWidth); | |
| context.lineTo(-strokeWidth, y(time1) + strokeWidth); | |
| context.closePath(); | |
| context.clip(); | |
| }) | |
| .tween("path", function() { | |
| var swap = swaps.pop(), i = swap[0], j = swap[1], t; | |
| t = elements[i], elements[i] = elements[j], elements[j] = t; | |
| elements.forEach(function(d, i) { d.index0 = d.index1; d.index1 = i; }); | |
| return function(t) { | |
| context.clearRect(-strokeWidth, -strokeWidth, width + strokeWidth * 2, height + strokeWidth * 2); | |
| elements.forEach(function(d) { if (d.index0 === d.index1) drawPath(d.value, d.index0, d.index1, time0, time1, t); }); | |
| drawPath(elements[j].value, i, j, time0, time1, t); | |
| drawPath(elements[i].value, j, i, time0, time1, t); | |
| }; | |
| }).each("end", function() { | |
| context.restore(); | |
| if (swaps.length) next(); | |
| }); | |
| })(); | |
| function drawPath(v, i0, i1, t0, t1, t) { | |
| context.beginPath(); | |
| context.moveTo(x(i0), y(t0)); | |
| if (i0 === i1 || t < 1 / 3) { | |
| context.lineTo(x(i0), y(t0) + (y(t1) - y(t0)) * Math.max(t, 1e-4)); | |
| } else { | |
| context.lineTo(x(i0), y(t0) + (y(t1) - y(t0)) / 3); | |
| if (t < 2 / 3) { | |
| context.lineTo(x(i0) + (x(i1) - x(i0)) * (t - 1 / 3) * 3, y(t0) + (y(t1) - y(t0)) * t); | |
| } else { | |
| context.lineTo(x(i1), y(t0) + (y(t1) - y(t0)) * 2 / 3); | |
| context.lineTo(x(i1), y(t0) + (y(t1) - y(t0)) * t); | |
| } | |
| } | |
| context.lineWidth = strokeWidth + 2; | |
| context.strokeStyle = "#000"; | |
| context.stroke(); | |
| context.lineWidth = strokeWidth; | |
| context.strokeStyle = color(v); | |
| context.stroke(); | |
| } | |
| function keydown() { | |
| slow = d3.event.altKey; | |
| } | |
| function quicksort(array) { | |
| var swaps = []; | |
| 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) { | |
| if (i === j) return; | |
| var t = array[i]; | |
| array[i] = array[j]; | |
| array[j] = t; | |
| swaps.push([i, j]); | |
| } | |
| function recurse(left, right) { | |
| if (left < right - 1) { | |
| var pivot = partition(left, right, (left + right) >> 1); | |
| recurse(left, pivot); | |
| recurse(pivot + 1, right); | |
| } | |
| } | |
| recurse(0, array.length); | |
| return swaps; | |
| } | |
| d3.select(self.frameElement).style("height", height + margin.top + margin.bottom + "px"); | |
| </script> |
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