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----
-title: Plots
-layout: plain
-groups:
- - navbar
-navbar_link: <span class="glyphicon glyphicon-th-large"></span>&nbsp;Plots
-custom_css:
- - plots.css
-input_kind:
- - best
- - average
- - worst
-plots:
- - codename: bubble_sort
- brief_name: Bubble sort
- display_name: Bubble sort
- min_length: 0
- max_length: 200
- iterations: 100
- complexity:
- best: O(<var>n</var>)
- average: O(<var>n</var><sup>2</sup>)
- worst: O(<var>n</var><sup>2</sup>)
- - codename: bubble_sort_optimized
- brief_name: "&hellip; \"optimized\""
- display_name: "\"Optimized\" bubble sort"
- min_length: 0
- max_length: 200
- iterations: 100
- complexity:
- best: O(<var>n</var>)
- average: O(<var>n</var><sup>2</sup>)
- worst: O(<var>n</var><sup>2</sup>)
- - codename: heapsort
- brief_name: Heapsort
- display_name: Heapsort
- min_length: 0
- max_length: 200
- iterations: 100
- complexity: O(<var>n</var> log <var>n</var>)
- - codename: insertion_sort
- brief_name: Insertion sort
- display_name: Insertion sort
- min_length: 0
- max_length: 200
- iterations: 100
- complexity:
- best: O(<var>n</var>)
- average: O(<var>n</var><sup>2</sup>)
- worst: O(<var>n</var><sup>2</sup>)
- - codename: merge_sort
- brief_name: Merge sort
- display_name: Merge sort
- min_length: 0
- max_length: 200
- iterations: 100
- complexity: O(<var>n</var> log <var>n</var>)
- - codename: quicksort_first
- brief_name: Quicksort (first element as pivot)
- display_name: Quicksort (first element as pivot)
- min_length: 0
- max_length: 200
- iterations: 100
- complexity:
- best: O(<var>n</var><sup>2</sup>)
- average: O(<var>n</var> log <var>n</var>)
- worst: O(<var>n</var><sup>2</sup>)
- - codename: quicksort_second
- brief_name: "&hellip; second element&hellip;"
- display_name: Quicksort (second element as pivot)
- min_length: 0
- max_length: 200
- iterations: 100
- complexity:
- best: O(<var>n</var><sup>2</sup>)
- average: O(<var>n</var> log <var>n</var>)
- worst: O(<var>n</var><sup>2</sup>)
- - codename: quicksort_middle
- brief_name: "&hellip; middle element&hellip;"
- display_name: Quicksort (middle element as pivot)
- min_length: 0
- max_length: 200
- iterations: 100
- complexity: O(<var>n</var> log <var>n</var>)
- - codename: quicksort_last
- brief_name: "&hellip; last element&hellip;"
- display_name: Quicksort (last element as pivot)
- min_length: 0
- max_length: 200
- iterations: 100
- complexity:
- best: O(<var>n</var><sup>2</sup>)
- average: O(<var>n</var> log <var>n</var>)
- worst: O(<var>n</var><sup>2</sup>)
- - codename: quicksort_random
- brief_name: "&hellip; random element&hellip;"
- display_name: Quicksort (random element as pivot)
- min_length: 0
- max_length: 200
- iterations: 100
- complexity: O(<var>n</var> log <var>n</var>)
- - codename: selection_sort
- brief_name: Selection sort
- display_name: Selection sort
- min_length: 0
- max_length: 200
- iterations: 100
- complexity: O(<var>n</var><sup>2</sup>)
----
-<h1>{{ page.title }}</h1>
-
-<div class="row">
- <div class="col-xs-12 col-sm-10 col-md-8">
- <p class="text-muted">The goals of this "project" include a) familiarizing
-myself with a few sorting algorithms by examining their (possibly, simplified)
-implementations and b) studying the way algorithm's running time changes in
-relation to the length of its input (a.k.a. identifying its time
-complexity).</p>
- <p class="text-muted">A simple way to visualize the way algorithm's running
-time changes is to make appropriate measurements and plot them on a nice graph.
-The results of course are highly dependent on the hardware used, while the
-graph's look depends on the software used for rendering.</p>
- <p class="text-muted">Both the hardware &amp; the software that were used
-to produce the plots are listed below.</p>
- <table class="table table-bordered wide-enough">
- <tr>
- <th>CPU</th>
- <td><a href="http://ark.intel.com/products/84695/Intel-Core-i3-5005U-Processor-3M-Cache-2_00-GHz">Intel Core i3-5005U</a></td>
- </tr>
- <tr>
- <th>OS</th>
- <td>Windows 8.1</td>
- </tr>
- <tr>
- <th>Python</th>
- <td>3.5.1</td>
- </tr>
- <tr>
- <th>matplotlib</th>
- <td>1.5.1</td>
- </tr>
- </table>
- </div>
-</div>
-
-{% if page.plots and page.plots != empty %}
-<div class="row">
- <div class="col-xs-12 col-sm-10 col-md-8">
- <p>The table &amp; plots below are just an attempt to nicely lay out the
-data generated using the code from the project repository's <code>master</code>
-branch.
-Visit <a href="{{ site.github.repository_url }}">{{ site.github.repository_url }}</a> for more details.</p>
-
- <p>Each of the implemented algorithms was provided with three input
-sequences:</p>
- <ul>
- <li>a list of <var>n</var> consecutive numbers sorted in ascending order,</li>
- <li>&hellip; in descending order,</li>
- <li>&hellip; in random order.</li>
- </ul>
- <p>Use the table below to quickly navigate to the plots for the
-corresponding algorithm.</p>
-
- <table class="table table-bordered table-hover">
- <thead>
- <tr>
- <th class="text-center" rowspan="2">Algorithm</th>
- <th class="text-center" colspan="{{ page.input_kind.size }}">Complexity</th>
- </tr>
- <tr>
- {% for input_kind in page.input_kind %}
- <th class="text-center">{{ input_kind | capitalize }}</th>
- {% endfor %}
- </tr>
- </thead>
- <tbody>
-{% for algorithm in page.plots %}
-<tr>
- <td><a href="#plots_{{ algorithm.codename }}">{{ algorithm.brief_name }}</a></td>
- {% for input_kind in page.input_kind %}
- {% if algorithm.complexity[input_kind] %}
- {% assign complexity = algorithm.complexity[input_kind] %}
- {% else %}
- {% assign complexity = algorithm.complexity %}
- {% endif %}
- <td>{{ complexity }}</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 input_kind in page.input_kind %}
- {% if algorithm.iterations[input_kind] %}
- {% assign iterations = algorithm.iterations[input_kind] %}
- {% else %}
- {% assign iterations = algorithm.iterations %}
- {% endif %}
- {% if algorithm.complexity[input_kind] %}
- {% assign complexity = algorithm.complexity[input_kind] %}
- {% else %}
- {% assign complexity = algorithm.complexity %}
- {% endif %}
- {% capture stem %}{{ algorithm.codename }}_{{ iterations }}_{{ input_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/preview/{{ stem }}.png" alt="{{ algorithm.display_name | escape }}, {{ iterations }} iterations, {{ input_kind }} case"/>
- </a>
- <div class="caption">
- <strong>{{ algorithm.display_name }}</strong><br/>
- {{ input_kind | capitalize }} case, {{ complexity }}
- </div>
- </div>
- </div>
- {% endfor %}
-</div>
-{% endfor %}
-
-{% else %}
-<p class="h3">Sorry, not plots have been added yet.</p>
-<hr/>
-{% endif %}