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sort.html
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<!--
* Copyright 2013, Gregg Tavares.
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are
* met:
*
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above
* copyright notice, this list of conditions and the following disclaimer
* in the documentation and/or other materials provided with the
* distribution.
* * Neither the name of Gregg Tavares. nor the names of his
* contributors may be used to endorse or promote products derived from
* this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
* OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
* LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-->
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8">
<style>
body, html {
font-family: monospace;
font-size: x-small;
}
bigContainer {
text-align: center;
}
big {
width: 100%;
height: 100%;
}
canvas {
border: 1px solid black;
}
td {
vertical-align: top;
}
td:first-child {
vertical-align: middle;
}
thead {
text-align: center;
}
</style>
<link type="text/css" href="js/css/ui-lightness/jquery-ui-1.10.3.custom.css" rel="stylesheet" />
<script src="js/webgl-utils.js"></script>
<script src="js/sort-visualizer.js"></script>
<script src="js/jquery-1.9.1.js"></script>
<script src="js/jquery-ui-1.10.3.custom.min.js"></script>
<script src="js/jquery.ui.touch-punch.min.js"></script>
<script>
var log = function(msg) {
var console = document.getElementById("console");
var div = document.createElement("div");
div.appendChild(document.createTextNode(msg));
console.appendChild(div);
};
// --------------------------------------------
var quickSort = function(array, sv) {
var sort = function(start, end) {
var n = end - start;
if (n <= 1) {
return;
}
var r = start + sv.rand(n);
sv.swap(array, start, r, sv);
var k = start;
for (var i = start + 1; i < end; ++i) {
if (sv.le(array, i, array[start])) {
sv.swap(array, ++k, i, sv);
}
}
sv.swap(array, start, k, sv);
sort(start, k);
sort(k + 1, end);
};
sort(0, array.length);
};
// --------------------------------------------
var quickSortLR = function(array, sv) {
var sort = function(array, start, end) {
if (end - start < 1) {
return;
}
var pivotIndex = start;
var pivot = array[pivotIndex];
var sp = start + 1;
var ep = end;
while (ep >= sp) {
while (ep >= sp && sv.ge(array, ep, pivot)) {
--ep;
}
if (ep < sp) {
break;
}
sv.copy(array, ep, pivotIndex);
pivotIndex = ep;
while (ep >= sp && sv.le(array, sp, pivot)) {
++sp;
}
if (ep < sp) {
break;
}
sv.copy(array, sp, pivotIndex);
pivotIndex = sp;
}
sv.set(array, pivotIndex, pivot);
sort(array, start, pivotIndex - 1);
sort(array, pivotIndex + 1, end);
};
sort(array, 0, array.length - 1);
};
// --------------------------------------------
var quickSort3 = function(array, sv) {
var sort = function(a, l, r) {
if (r <= l) {
return;
}
var i = l - 1;
var j = r;
var p = l - 1;
var q = r;
var v = a[r];
for (;;) {
while (sv.lt(a, ++i, v));
while (sv.gt(a, --j, v)) {
if (j == l) {
break;
}
}
if (i >= j) break;
sv.swap(a, i, j);
//if (sv.eq(a, i, v)) { // this compare is nearly free because the swap above just accessed these values
if (a[i] == v) {
p++;
sv.swap(a, p, i);
}
//if (sv.eq(a, j, v)) {
if (a[j] == v) {
q--;
sv.swap(a, j, q);
}
}
sv.swap(a, i, r);
j = i - 1;
i = i + 1;
for (var k = l; k < p; k++, j--) {
sv.swap(a, k, j);
}
for (var k = r-1; k > q; k--, i++) {
sv.swap(a, i, k);
}
sort(a, l, j);
sort(a, i, r);
}
sort(array, 0, array.length - 1);
};
// --------------------------------------------
var mergeSort = function(array, sv) {
var n = array.length;
var scratch = array.slice();
var merge = function(l, r, m) {
var i = l;
var j = m + 1;
if (l == r) {
return;
}
while (i <= m && j <= r) {
if (sv.lt(array, i, array[j])) {
sv.set(scratch, i + j - m - 1, array[i]);
++i;
} else {
sv.set(scratch, i + j - m - 1, array[j]);
++j;
}
}
for (; i <= m; ++i) {
sv.set(scratch, i + j - m - 1, array[i]);
}
for (; j <= r; ++j) {
sv.set(scratch, i + j - m - 1, array[j]);
}
for (var k = l; k <= r; ++k) {
sv.set(array, k, scratch[k]);
}
}
for (var run = 1; run < n; run *= 2) {
for (var i = 0; i < n; i += 2*run) {
merge(i, Math.min(i + 2*run - 1, n - 1), Math.min(i + run - 1, n - 1));
}
}
};
// --------------------------------------------
var bubbleSort = function(array, sv) {
var n = array.length;
for (var i = 0; i < n; ++i) {
var swapped = false;
for (var j = n - 1; j >= i + 1; --j) {
if (sv.lt(array, j, array[j - 1])) {
sv.swap(array, j, j - 1);
swapped = true;
}
}
if (!swapped) {
break;
}
}
};
// --------------------------------------------
var selectionSort = function(array, sv) {
var n = array.length;
for (var i = 0; i < n; ++i) {
var k = i;
for (var j = i + 1; j < n; ++j) {
if (sv.lt(array, j, array[k])) {
k = j;
}
}
sv.swap(array, i, k);
}
};
// --------------------------------------------
var insertionSort = function(array, sv) {
var n = array.length;
for (var i = 1; i < n; ++i) {
var v = array[i];
var j = 0;
for (; j < i; ++j) {
if (sv.gt(array, j, v)) {
break;
}
}
for (var k = i; k > j; --k) {
sv.copy(array, k - 1, k);
}
sv.set(array, j, v);
}
};
// --------------------------------------------
var shellSort = function(array, sv) {
var n = array.length;
// https://oeis.org/A102549
[701, 301, 132, 57, 23, 10, 4, 1].forEach(function(gap) {
for (var i = gap; i < n; ++i) {
var v = array[i];
var j = i;
for (; j >= gap; j -= gap) {
if (sv.le(array, j - gap, v)) {
break;
}
}
for (var k = i; k > j; k -= gap) {
sv.copy(array, k - gap, k);
}
sv.set(array, j, v);
}
});
};
// --------------------------------------------
$(function() {
var createCanvas = function(width, height) {
var canvas = document.createElement("canvas");
canvas.width = width;
canvas.height = height;
return canvas;
};
var bigSv = undefined;
$( "#dialog-form" ).dialog({
autoOpen: false,
height: 900,
width: 900,
modal: true,
close: function() {
bigSv.destroy();
bigSv = undefined;
}
});
var showSort = function(algo, type) {
var big = document.getElementById("big");
var width = Math.max(300, $("body").width() - 200);
var height = Math.max(300, $("body").height() - 200);
big.width = width - 50;
big.height = height - 60;
if (bigSv !== undefined) {
throw("visualization already in progress");
}
bigSv = new SortVisualizer(big);
bigSv.runSort(algo.sortFn, Math.max(100, Math.min(300, width)), type);
bigSv.playback(function() {});
$("#dialog-form").
dialog({ title: algo.name + ": " + type }).
dialog("option", "width", width).
dialog("option", "height", height).
dialog("open");
};
var types = [
"random",
"similar",
"ascending",
"descending",
"mostEqual",
"equal",
];
var algorithms = [
{ name: "quicksort", sortFn: quickSort, },
{ name: "quicksortLR", sortFn: quickSortLR, },
{ name: "quicksort3", sortFn: quickSort3, },
{ name: "merge", sortFn: mergeSort, },
{ name: "bubblesort", sortFn: bubbleSort, },
{ name: "selection", sortFn: selectionSort, },
{ name: "insertion", sortFn: insertionSort, },
{ name: "Shell", sortFn: shellSort, },
];
var stats = [
{ label: "num set: ", id: 'set', },
{ label: "num cpy: ", id: 'copy', },
{ label: "num cmp: ", id: 'cmp', },
{ label: "num swp: ", id: 'swap', },
{ label: "num cyc: ", id: 'cycles', },
];
var tbody = document.getElementById("t");
var thead = document.getElementById("h");
types.forEach(function(type) {
var td = document.createElement("td");
td.appendChild(document.createTextNode(type));
thead.appendChild(td);
});
algorithms.forEach(function(algo) {
var tr = document.createElement("tr");
var td = document.createElement("td");
var div = document.createElement("div");
div.appendChild(document.createTextNode(algo.name));
td.appendChild(div);
tr.appendChild(td);
types.forEach(function(type) {
var td = document.createElement("td");
var canvas = createCanvas(100, 50);
td.appendChild(canvas);
var addDivSpan = function(parent, msg) {
var div = document.createElement("div");
div.appendChild(document.createTextNode(msg));
var span = document.createElement("span");
div.appendChild(span);
parent.appendChild(div);
return span;
};
var statElems = [];
stats.forEach(function(stat) {
statElems.push({stat: stat, elem: addDivSpan(td, stat.label)});
});
var sv = new SortVisualizer(canvas);
sv.runSort(algo.sortFn, 50, type);
sv.playback(function() {
statElems.forEach(function(s) {
s.elem.innerText = sv.get(s.stat.id);
});
});
$(td).click(function() {showSort(algo, type)});
tr.appendChild(td);
});
tbody.appendChild(tr);
});
});
</script>
</head>
<body>
<table>
<thead><tr id="h"><td></td></tr></thead>
<tbody id="t"></tbody>
</table>
<pre id="console"></pre>
<div id="dialog-form" title="Sort">
<div id="bigContainer">
<canvas id="big"></canvas>
</div>
</div>
</body>
</html>