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<div class="section" id="module-main">
<span id="function-documentation"></span><h1>function documentation<a class="headerlink" href="#module-main" title="Permalink to this headline"></a></h1>
<dl class="class">
<dt id="main.Figures">
<em class="property">class </em><code class="descclassname">main.</code><code class="descname">Figures</code><span class="sig-paren">(</span><em>im</em>, <em>mode=None</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Figures"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Figures" title="Permalink to this definition"></a></dt>
<dd><p>A lot of function to create some well-know shapes</p>
<dl class="staticmethod">
<dt id="main.Figures._int">
<em class="property">static </em><code class="descname">_int</code><span class="sig-paren">(</span><em>value</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Figures._int"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Figures._int" title="Permalink to this definition"></a></dt>
<dd><p>Make a tuple of float coordinate into tuple of int coordinate</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>value</strong> (<em>tuple</em>) Tuple to convert</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">new tuple with int values</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body">tuple(int, int)</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="main.Figures.blanc_manger">
<code class="descname">blanc_manger</code><span class="sig-paren">(</span><em>origin</em>, <em>finish</em>, <em>iterations</em>, <em>color=None</em>, <em>width=0</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Figures.blanc_manger"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Figures.blanc_manger" title="Permalink to this definition"></a></dt>
<dd><p>Trace blanc manger curve</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>origin</strong> (<em>tuple</em>) coordinate of the starting point</li>
<li><strong>finish</strong> (<em>tuple</em>) coordinate of the ending point</li>
<li><strong>iterations</strong> (<em>int</em>) iterations for the drawings</li>
<li><strong>color</strong> (<em>tuple</em>) color to use for the lines</li>
<li><strong>width</strong> (<em>int</em>) the line width, in pixels</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="staticmethod">
<dt id="main.Figures.complex_to_point">
<em class="property">static </em><code class="descname">complex_to_point</code><span class="sig-paren">(</span><em>point</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Figures.complex_to_point"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Figures.complex_to_point" title="Permalink to this definition"></a></dt>
<dd><p>Transform tuple to complex</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>point</strong> (<em>complex</em>) Point to convert</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">tuple representation of point</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body">tuple</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="main.Figures.homothety">
<code class="descname">homothety</code><span class="sig-paren">(</span><em>point</em>, <em>center=0j</em>, <em>size=0</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Figures.homothety"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Figures.homothety" title="Permalink to this definition"></a></dt>
<dd><p>Homothety of point in complex plane</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>point</strong> (<em>tuple</em><em> or </em><em>complex</em>) point (or list of point) to make homothety</li>
<li><strong>center</strong> (<em>tuple</em><em> or </em><em>complex</em>) center of homothety</li>
<li><strong>size</strong> (<em>float</em>) size of homothety</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">Homothety of point (or list of homothety of points)</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">tuple or list of tuples</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="staticmethod">
<dt id="main.Figures.point_to_complex">
<em class="property">static </em><code class="descname">point_to_complex</code><span class="sig-paren">(</span><em>point</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Figures.point_to_complex"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Figures.point_to_complex" title="Permalink to this definition"></a></dt>
<dd><p>Transform tuple to complex</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>point</strong> (<em>tuple</em>) Point to convert</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">Complex representation of point</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body">complex</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="main.Figures.rotation">
<code class="descname">rotation</code><span class="sig-paren">(</span><em>point</em>, <em>center=0j</em>, <em>angle=0</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Figures.rotation"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Figures.rotation" title="Permalink to this definition"></a></dt>
<dd><p>Rotate point in complex plane</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
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<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>point</strong> (<em>tuple</em><em> or </em><em>complex</em>) point (or list of point) to rotate</li>
<li><strong>center</strong> (<em>tuple</em><em> or </em><em>complex</em>) center of rotation</li>
<li><strong>angle</strong> (<em>float</em>) angle of rotation</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">Rotated point (or list of rotated points)</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">tuple or list of tuples</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="main.Figures.translation">
<code class="descname">translation</code><span class="sig-paren">(</span><em>point</em>, <em>vect</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Figures.translation"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Figures.translation" title="Permalink to this definition"></a></dt>
<dd><p>Translate point in complex plane</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
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<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
<li><strong>point</strong> (<em>tuple</em><em> or </em><em>complex</em>) point (or list of point) to translate</li>
<li><strong>vect</strong> (<em>tuple</em><em> or </em><em>complex</em>) vector of translation</li>
</ul>
</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">Translated point (or list of translated points)</p>
</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body"><p class="first last">tuple or list of tuples</p>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="main.Figures.von_koch_curve">
<code class="descname">von_koch_curve</code><span class="sig-paren">(</span><em>origin</em>, <em>finish</em>, <em>iterations=1</em>, <em>color=None</em>, <em>width=0</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Figures.von_koch_curve"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Figures.von_koch_curve" title="Permalink to this definition"></a></dt>
<dd><p>Draw thee von koch flake on image.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
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<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>origin</strong> (<em>tuple</em>) coordinate of the starting point</li>
<li><strong>finish</strong> (<em>tuple</em>) coordinate of the ending point</li>
<li><strong>iterations</strong> (<em>int</em>) iterations for the drawings</li>
<li><strong>color</strong> (<em>tuple</em>) color to use for the lines</li>
<li><strong>width</strong> (<em>int</em>) the line width, in pixels</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="main.Figures.von_koch_curve_flake">
<code class="descname">von_koch_curve_flake</code><span class="sig-paren">(</span><em>origin</em>, <em>radius</em>, <em>iterations</em>, <em>angle=0</em>, <em>color=None</em>, <em>width=0</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Figures.von_koch_curve_flake"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Figures.von_koch_curve_flake" title="Permalink to this definition"></a></dt>
<dd><p>Draw thee von koch flake on image.</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>origin</strong> (<em>tuple</em>) coordinate of the center of circumscribed circle of main triangle</li>
<li><strong>radius</strong> (<em>float</em>) radius of circumscribed circle of main triangle</li>
<li><strong>iterations</strong> (<em>int</em>) iterations for the drawings</li>
<li><strong>angle</strong> (<em>float</em>) rotation of main triangle</li>
<li><strong>color</strong> (<em>tuple</em>) color to use for the lines</li>
<li><strong>width</strong> (<em>int</em>) the line width, in pixels</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="main.Lsystem">
<em class="property">class </em><code class="descclassname">main.</code><code class="descname">Lsystem</code><span class="sig-paren">(</span><em>*args</em>, <em>**kwargs</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Lsystem"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Lsystem" title="Permalink to this definition"></a></dt>
<dd><p>Draw a L system</p>
<dl class="method">
<dt id="main.Lsystem._backward">
<code class="descname">_backward</code><span class="sig-paren">(</span><em>distance</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Lsystem._backward"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Lsystem._backward" title="Permalink to this definition"></a></dt>
<dd><p>Backward pen of distance</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
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<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>distance</strong> (<em>float</em>) Distance to backward</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="main.Lsystem._forward">
<code class="descname">_forward</code><span class="sig-paren">(</span><em>distance</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Lsystem._forward"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Lsystem._forward" title="Permalink to this definition"></a></dt>
<dd><p>Forward pen of distance</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
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<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>distance</strong> (<em>float</em>) Distance to forward</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="main.Lsystem._left">
<code class="descname">_left</code><span class="sig-paren">(</span><em>angle</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Lsystem._left"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Lsystem._left" title="Permalink to this definition"></a></dt>
<dd><p>Turn pen to left of angle</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
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<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>angle</strong> (<em>float</em>) Angle to rotate</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="main.Lsystem._restore">
<code class="descname">_restore</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Lsystem._restore"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Lsystem._restore" title="Permalink to this definition"></a></dt>
<dd><p>Restore last pen state</p>
</dd></dl>
<dl class="method">
<dt id="main.Lsystem._right">
<code class="descname">_right</code><span class="sig-paren">(</span><em>angle</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Lsystem._right"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Lsystem._right" title="Permalink to this definition"></a></dt>
<dd><p>Turn pen to right of angle</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
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<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>angle</strong> (<em>float</em>) Angle to rotate</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="main.Lsystem._save">
<code class="descname">_save</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Lsystem._save"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Lsystem._save" title="Permalink to this definition"></a></dt>
<dd><p>Save state of pen</p>
</dd></dl>
<dl class="method">
<dt id="main.Lsystem.backward">
<code class="descname">backward</code><span class="sig-paren">(</span><em>distance</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Lsystem.backward"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Lsystem.backward" title="Permalink to this definition"></a></dt>
<dd><p>Return a lambda function which make pen backward of distance</p>
<table class="docutils field-list" frame="void" rules="none">
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<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>distance</strong> (<em>float</em>) Distance to build function</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">lambda function to make pen backward</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body">lambda</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="main.Lsystem.draw_l">
<code class="descname">draw_l</code><span class="sig-paren">(</span><em>start</em>, <em>replacement</em>, <em>constants</em>, <em>nb_recursive</em>, <em>color=(255</em>, <em>255</em>, <em>255)</em>, <em>width=0</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Lsystem.draw_l"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Lsystem.draw_l" title="Permalink to this definition"></a></dt>
<dd><p>Draw a L system</p>
<table class="docutils field-list" frame="void" rules="none">
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<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
<li><strong>start</strong> (<em>str</em>) Axiome</li>
<li><strong>replacement</strong> (<em>dict</em>) Dictionary which contain replacement values (F-&gt;F+F-F-F+F)</li>
<li><strong>constants</strong> (<em>dict</em>) Dictionary which contain all elements with there function</li>
<li><strong>nb_recursive</strong> (<em>int</em>) Number of recursion</li>
<li><strong>color</strong> (<em>tuple</em>) Color to use for the drawing</li>
<li><strong>width</strong> (<em>int</em>) The line width, in pixels</li>
</ul>
</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="main.Lsystem.forward">
<code class="descname">forward</code><span class="sig-paren">(</span><em>distance</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Lsystem.forward"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Lsystem.forward" title="Permalink to this definition"></a></dt>
<dd><p>Return a lambda function which make pen forward of distance</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
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<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>distance</strong> (<em>float</em>) Distance to build function</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">lambda function to make pen forward</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body">lambda</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="main.Lsystem.left">
<code class="descname">left</code><span class="sig-paren">(</span><em>angle</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Lsystem.left"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Lsystem.left" title="Permalink to this definition"></a></dt>
<dd><p>Return a lambda function which make pen turning of angle radians to left</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
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<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>angle</strong> (<em>float</em>) Angle to build function</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">lambda function to make pen turning left</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body">lambda</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="main.Lsystem.restore">
<code class="descname">restore</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Lsystem.restore"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Lsystem.restore" title="Permalink to this definition"></a></dt>
<dd><p>Return a lambda function which restore state of pen</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Returns:</th><td class="field-body">lambda function to restore pen state</td>
</tr>
<tr class="field-even field"><th class="field-name">Return type:</th><td class="field-body">lambda</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="main.Lsystem.right">
<code class="descname">right</code><span class="sig-paren">(</span><em>angle</em><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Lsystem.right"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Lsystem.right" title="Permalink to this definition"></a></dt>
<dd><p>Return a lambda function which make pen turning of angle radians to right</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>angle</strong> (<em>float</em>) Angle to build function</td>
</tr>
<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">lambda function to make pen turning right</td>
</tr>
<tr class="field-odd field"><th class="field-name">Return type:</th><td class="field-body">lambda</td>
</tr>
</tbody>
</table>
</dd></dl>
<dl class="method">
<dt id="main.Lsystem.save">
<code class="descname">save</code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/main.html#Lsystem.save"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.Lsystem.save" title="Permalink to this definition"></a></dt>
<dd><p>Return a lambda function which save state of pen</p>
<table class="docutils field-list" frame="void" rules="none">
<col class="field-name" />
<col class="field-body" />
<tbody valign="top">
<tr class="field-odd field"><th class="field-name">Returns:</th><td class="field-body">lambda function to save pen state</td>
</tr>
<tr class="field-even field"><th class="field-name">Return type:</th><td class="field-body">lambda</td>
</tr>
</tbody>
</table>
</dd></dl>
</dd></dl>
<dl class="class">
<dt id="main.State">
<em class="property">class </em><code class="descclassname">main.</code><code class="descname">State</code><a class="reference internal" href="_modules/main.html#State"><span class="viewcode-link">[source]</span></a><a class="headerlink" href="#main.State" title="Permalink to this definition"></a></dt>
<dd><p>State of Lsystem</p>
</dd></dl>
</div>
</div>
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