Created
April 14, 2014 22:42
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Quicksort on a line
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<!doctype html> | |
<html> | |
<style> | |
.line { | |
fill: none; | |
stroke: steelblue; | |
stroke-width: 1.5px; | |
} | |
circle { | |
stroke: steelblue; | |
stroke-width: 1.5px; | |
} | |
</style> | |
<body> | |
<script src="http://d3js.org/d3.v3.min.js" charset="utf-8"></script> | |
<script> | |
var width = 960, | |
height = 500; | |
var count = 1000; | |
var svg = d3.select('body').append('svg') | |
.attr('width', width) | |
.attr('height', height); | |
var line = d3.svg.line(); | |
line.interpolate('cardinal'); | |
points = d3.range(1, count).map(function(i) { | |
return [i * width / count, Math.round(50 + Math.random() * (height - 100))]; | |
}); | |
draw = function () { | |
/* | |
var circle = svg.selectAll('circle') | |
.data(points); | |
circle.enter().append('circle') | |
.attr('r', 6.5); | |
circle.attr('cx', function(d) { return d[0]; }) | |
.attr('cy', function(d) { return d[1]; }); | |
*/ | |
var path = svg.selectAll('path') | |
.data([points]); | |
path.enter().append('path') | |
.attr('class', 'line') | |
path.attr('d', line); | |
} | |
quicksort = function (array) { | |
var actions = []; | |
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; | |
actions.push({type: "swap", i: i, j: j}); | |
} | |
function recurse(left, right) { | |
if (left < right) { | |
var pivot = left + ~~(Math.random() * (right - left)); | |
actions.push({type: "partition", pivot: pivot}); | |
pivot = partition(left, right, pivot); | |
recurse(left, pivot); | |
recurse(pivot + 1, right); | |
} | |
} | |
recurse(0, array.length); | |
return actions; | |
} | |
sort = function () { | |
pointsToSort = points.map(function (point) { return point[1]; }); | |
actions = quicksort(pointsToSort).reverse(); | |
function step() { | |
setInterval(function () { | |
var action = actions.pop(); | |
if (action) switch (action.type) { | |
case "partition": { | |
step(); | |
break; | |
} | |
case "swap": { | |
var t = points[action.i][1]; | |
points[action.i][1] = points[action.j][1]; | |
points[action.j][1] = t; | |
draw(); | |
break; | |
} | |
} | |
}, 100); | |
}; | |
step(); | |
} | |
sort(); | |
</script> | |
</html> |
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