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---
title: Plots
layout: plots
groups:
- navbar
navbar_link: <span class="glyphicon glyphicon-th-large"></span> Plots
custom_css: plots.css
plot_kinds:
- sorted
- randomized
- reversed
plots:
- codename: bubble
brief_name: Bubble sort
display_name: Bubble sort
min_length: 0
max_length: 200
repetitions:
sorted: 1000
randomized: 100
reversed: 100
complexity:
sorted: O(<var>n</var>)
randomized: O(<var>n</var><sup>2</sup>)
reversed: O(<var>n</var><sup>2</sup>)
- codename: bubble_optimized
brief_name: "… \"optimized\""
display_name: "\"Optimized\" bubble sort"
min_length: 0
max_length: 200
repetitions:
sorted: 1000
randomized: 100
reversed: 100
complexity:
sorted: O(<var>n</var>)
randomized: O(<var>n</var><sup>2</sup>)
reversed: O(<var>n</var><sup>2</sup>)
- codename: heap
brief_name: Heapsort
display_name: Heapsort
min_length: 0
max_length: 200
repetitions: 100
complexity: O(<var>n</var> log <var>n</var>)
- codename: insertion
brief_name: Insertion sort
display_name: Insertion sort
min_length: 0
max_length: 200
repetitions:
sorted: 1000
randomized: 100
reversed: 100
complexity:
sorted: O(<var>n</var>)
randomized: O(<var>n</var><sup>2</sup>)
reversed: O(<var>n</var><sup>2</sup>)
- codename: merge
brief_name: Merge sort
display_name: Merge sort
min_length: 0
max_length: 200
repetitions: 100
complexity: O(<var>n</var> log <var>n</var>)
- codename: quick_first
brief_name: Quicksort (first element as pivot)
display_name: Quicksort (first element as pivot)
min_length: 0
max_length: 200
repetitions: 100
complexity:
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>)
- codename: quick_second
brief_name: "… second element…"
display_name: Quicksort (second element as pivot)
min_length: 0
max_length: 200
repetitions: 100
complexity:
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>)
- codename: quick_middle
brief_name: "… middle element…"
display_name: Quicksort (middle element as pivot)
min_length: 0
max_length: 200
repetitions: 100
complexity: O(<var>n</var> log <var>n</var>)
- codename: quick_last
brief_name: "… last element…"
display_name: Quicksort (last element as pivot)
min_length: 0
max_length: 200
repetitions: 100
complexity:
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>)
- codename: quick_random
brief_name: "… random element…"
display_name: Quicksort (random element as pivot)
min_length: 0
max_length: 200
repetitions: 100
complexity: O(<var>n</var> log <var>n</var>)
- codename: selection
brief_name: Selection sort
display_name: Selection sort
min_length: 0
max_length: 200
repetitions: 100
complexity: O(<var>n</var><sup>2</sup>)
---
<h1>Plots</h1>
<p>The platform under which the plots were produced was:</p>
<table class="table table-bordered reasonable-width">
<tr>
<th>CPU</th>
<td><a href="http://ark.intel.com/products/58917">Intel Atom N2800</a></td>
</tr>
<tr>
<th>OS</th>
<td>Windows 7 Professional Service Pack 1</td>
</tr>
<tr>
<th>Python</th>
<td>3.4.1</td>
</tr>
<tr>
<th>matplotlib</th>
<td>1.4.0</td>
</tr>
</table>
{% if page.plots and page.plots != empty %}
<div class="row">
<div class="col-xs-12 col-sm-10 col-md-8">
<table class="table table-bordered table-hover">
<thead>
<tr>
<th class="text-center" rowspan="2">Algorithm</th>
<th class="text-center" colspan="{{ page.plot_kinds.size }}">Complexity</th>
</tr>
<tr>
{% for kind in page.plot_kinds %}
<th class="text-center">{{ kind }}</th>
{% endfor %}
</tr>
</thead>
<tbody>
{% for algorithm in page.plots %}
<tr>
<td><a href="#plots_{{ algorithm.codename }}">{{ algorithm.brief_name }}</a></td>
{% for kind in page.plot_kinds %}
<td>{% if algorithm.complexity[kind] %}{{ algorithm.complexity[kind] }}{% else %}{{ algorithm.complexity }}{% endif %}</td>
{% endfor %}
</tr>
{% endfor %}
</tbody>
</table>
</div>
</div>
{% for algorithm in page.plots %}
<a id="plots_{{ algorithm.codename }}"></a>
<h3>{{ algorithm.display_name }}</h3>
<div class="row">
{% for kind in page.plot_kinds %}
{% if algorithm.repetitions[kind] %}
{% assign repetitions = algorithm.repetitions[kind] %}
{% else %}
{% assign repetitions = algorithm.repetitions %}
{% endif %}
{% capture stem %}{{ algorithm.codename }}_{{ repetitions }}_{{ kind }}_{{ algorithm.min_length }}_{{ algorithm.max_length }}{% endcapture %}
<div class="col-xs-12 col-sm-6 col-md-4">
<div class="thumbnail">
<a class="thumbnail" href="{{ site.baseurl }}/img/plots/full_size/{{ stem }}.png">
<img class="img-responsive" src="{{ site.baseurl }}/img/plots/previews/{{ stem }}.jpg"/>
</a>
<div class="caption">
<strong>{{ algorithm.display_name }}</strong><br/>
<strong>Input:</strong> {{ kind }}<br/>
<strong>Complexity:</strong> {% if algorithm.complexity[kind] %}{{ algorithm.complexity[kind] }}{% else %}{{ algorithm.complexity }}{% endif %}<br/>
</div>
</div>
</div>
{% endfor %}
</div>
{% endfor %}
{% else %}
<h3>Sorry, there're no plots yet.</h3>
<hr/>
{% endif %}
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