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---
title: Plots
layout: plots
group: "navigation"
---
<h1>Plots</h1>
<p><strong>Disclaimer:</strong> for info about the platform used to generate the plots below, visit the <a href="{{ site.baseurl }}/about.html">About</a> section.</p>
<div id="plots">
<p class="text-muted">Javascript-generated plot table is supposed to appear here.</p>
</div>
<script type="text/javascript">
var userName = 'egor-tensin';
var repoName = 'sorting_algorithms';
var plotsUrl = '//github.com/{userName}/{repoName}/raw/master/plots/'.format({
userName: userName,
repoName: repoName
});
var previewsPath = '{{ site.baseurl }}/img/previews/';
function Algorithm(codename, name, briefName,
minLength, maxLength,
repetitions, complexity) {
this.codename = codename;
this.name = name;
this.briefName = briefName;
this.minLength = minLength;
this.maxLength = maxLength;
this.repetitions = repetitions;
this.complexity = complexity;
}
Algorithm.prototype.getRepetitions = function(input) {
switch (typeof this.repetitions) {
case 'number':
return this.repetitions;
case 'object':
return this.repetitions[input];
}
}
Algorithm.prototype.getComplexity = function(input) {
switch (typeof this.complexity) {
case 'string':
return this.complexity;
case 'object':
return this.complexity[input];
}
}
Algorithm.prototype.buildPlotStem = function(input) {
return '{codename}_{repetitions}_{input}_{minLength}_{maxLength}'.format({
codename: this.codename,
input: input,
repetitions: this.getRepetitions(input),
minLength: this.minLength,
maxLength: this.maxLength
});
}
Algorithm.prototype.buildPlotFileName = function(input) {
return this.buildPlotStem(input) + '.png';
}
Algorithm.prototype.buildPreviewFileName = function(input) {
return this.buildPlotStem(input) + '.jpg';
}
Algorithm.prototype.buildPlotUrl = function(input) {
return plotsUrl + this.buildPlotFileName(input);
}
Algorithm.prototype.buildPreviewPath = function(input) {
return previewsPath + this.buildPreviewFileName(input);
}
Algorithm.prototype.buildPlotCaptionHtml = function(input) {
return '\
<div class="caption">\n\
<strong>{name}</strong><br/>\n\
<strong>Input:</strong> {input}<br/>\n\
<strong>Complexity:</strong> {complexity}<br/>\n\
</div>\n'.format({name: this.name,
input: input,
complexity: this.getComplexity(input)});
}
Algorithm.prototype.buildPlotHtml = function(input) {
return '\
<div class="col-xs-12 col-sm-6 col-md-4">\n\
<div class="thumbnail">\
<a class="thumbnail" href="{plotUrl}">\n\
<img class="img-responsive" src="{previewPath}"/>\n\
</a>\n\
{captionHtml}\n\
</div>\n\
</div>\n'.format({previewPath: this.buildPreviewPath(input),
plotUrl: this.buildPlotUrl(input),
captionHtml: this.buildPlotCaptionHtml(input)});
}
var algorithms = [
new Algorithm('bubble', 'Bubble sort', 'Bubble sort', 0, 200,
{sorted: 1000, randomized: 100, reversed: 100},
{sorted: 'O(<var>n</var>)',
randomized: 'O(<var>n</var><sup>2</sup>)',
reversed: 'O(<var>n</var><sup>2</sup>)'}),
new Algorithm('bubble_optimized', 'Optimized bubble sort',
'… optimized', 0, 200,
{sorted: 1000, randomized: 100, reversed: 100},
{sorted: 'O(<var>n</var>)',
randomized: 'O(<var>n</var><sup>2</sup>)',
reversed: 'O(<var>n</var><sup>2</sup>)'}),
new Algorithm('heap', 'Heapsort', 'Heapsort', 0, 200,
100, 'O(<var>n</var> log <var>n</var>)'),
new Algorithm('insertion', 'Insertion sort', 'Insertion sort', 0, 200,
{sorted: 1000, randomized: 100, reversed: 100},
{sorted: 'O(<var>n</var>)',
randomized: 'O(<var>n</var><sup>2</sup>)',
reversed: 'O(<var>n</var><sup>2</sup>)'}),
new Algorithm('merge', 'Merge sort', 'Merge sort', 0, 200,
100, 'O(<var>n</var> log <var>n</var>)'),
new Algorithm('quick_first', 'Quicksort (first element as pivot)',
'Quicksort (first element as pivot)', 0, 200,
100, {sorted: 'O(<var>n</var><sup>2</sup>)',
randomized: 'O(<var>n</var> log <var>n</var>)',
reversed: 'O(<var>n</var><sup>2</sup>)'}),
new Algorithm('quick_second', 'Quicksort (second element as pivot)',
'… second element…', 0, 200,
100, {sorted: 'O(<var>n</var><sup>2</sup>)',
randomized: 'O(<var>n</var> log <var>n</var>)',
reversed: 'O(<var>n</var><sup>2</sup>)'}),
new Algorithm('quick_middle', 'Quicksort (middle element as pivot)',
'… middle element…', 0, 200,
100, 'O(<var>n</var> log <var>n</var>)'),
new Algorithm('quick_last', 'Quicksort (last element as pivot)',
'… last element…', 0, 200,
100, {sorted: 'O(<var>n</var><sup>2</sup>)',
randomized: 'O(<var>n</var> log <var>n</var>)',
reversed: 'O(<var>n</var><sup>2</sup>)'}),
new Algorithm('quick_random', 'Quicksort (random element as pivot)',
'… random element…', 0, 200,
100, 'O(<var>n</var> log <var>n</var>)'),
new Algorithm('selection', 'Selection sort', 'Selection sort', 0, 200,
100, 'O(<var>n</var><sup>2</sup>)')
];
function buildPlotsAlgorithm(algorithm) {
return '\
<a id="plots_{codename}"></a>\n\
<h3>{name}</h3>\n\
<div class="row">\n\
{sorted}\
{randomized}\
{reversed}\n\
</div>\n'.format({name: algorithm.name,
codename: algorithm.codename,
sorted: algorithm.buildPlotHtml('sorted'),
randomized: algorithm.buildPlotHtml('randomized'),
reversed: algorithm.buildPlotHtml('reversed')});
}
function buildPlotsAllAlgorithms() {
var html = '';
for (var i = 0; i < algorithms.length; ++i) {
html += buildPlotsAlgorithm(algorithms[i]);
}
return html;
}
function buildComplexityTableRow(algorithm) {
return '\
<tr>\n\
<td><a href="#plots_{codename}">{briefName}</a></td>\n\
<td>{sorted}</td>\n\
<td>{randomized}</td>\n\
<td>{reversed}</td>\n\
</tr>\n'.format({codename: algorithm.codename,
briefName: algorithm.briefName,
sorted: algorithm.getComplexity('sorted'),
randomized: algorithm.getComplexity('randomized'),
reversed: algorithm.getComplexity('reversed')});
}
function buildComplexityTable() {
var html = '\
<div class="row">\n\
<div class="col-xs-12 col-sm-10 col-md-8">\n\
<table id="complexity_table" class="table table-bordered table-hover">\n\
<thead>\n\
<tr>\n\
<th class="text-center" rowspan="2">Algorithm</th>\n\
<th class="text-center" colspan="3">Complexity</th>\n\
</tr>\n\
<tr>\n\
<th class="text-center">sorted</th>\n\
<th class="text-center">randomized</th>\n\
<th class="text-center">reversed</th>\n\
</tr>\n\
</thead>\n\
<tbody>\n';
for (var i = 0; i < algorithms.length; ++i) {
html += buildComplexityTableRow(algorithms[i]);
}
html += '\
</tbody>\n\
</table>\n\
</div>\n\
</div>\n';
return html;
}
document.getElementById('plots').innerHTML = buildComplexityTable() + buildPlotsAllAlgorithms();
</script>
|
