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<h1>Source code for betterTurtle</h1><div class="highlight"><pre>
<span></span><span class="c1"># -*- coding: utf-8 -*-</span>
<span class="sd">&quot;&quot;&quot;</span>
<span class="sd">A new turtle which is faster.</span>
<span class="sd">&gt;&gt;&gt; t = Turtle()</span>
<span class="sd">&gt;&gt;&gt; t.init()</span>
<span class="sd">&gt;&gt;&gt; t.set_position((0, 0))</span>
<span class="sd">&gt;&gt;&gt; t.fractal.outline(6, 2, 5)</span>
<span class="sd">.. autoclass:: Figures</span>
<span class="sd"> :members:</span>
<span class="sd"> :undoc-members:</span>
<span class="sd">.. autoclass:: Turtle</span>
<span class="sd"> :members:</span>
<span class="sd"> :undoc-members:</span>
<span class="sd">&quot;&quot;&quot;</span>
<span class="kn">import</span> <span class="nn">math</span>
<span class="kn">import</span> <span class="nn">time</span>
<span class="kn">from</span> <span class="nn">PIL</span> <span class="k">import</span> <span class="n">Image</span><span class="p">,</span> <span class="n">ImageDraw</span>
<div class="viewcode-block" id="Figures"><a class="viewcode-back" href="../documentation.html#betterTurtle.Figures">[docs]</a><span class="k">class</span> <span class="nc">Figures</span><span class="p">:</span>
<span class="sd">&quot;&quot;&quot;A lot of function to create some well-know shapes</span>
<span class="sd"> :param master: turtle2 to use for draw</span>
<span class="sd"> :type master: Turtle</span>
<span class="sd"> :returns: Nothing</span>
<span class="sd"> :rtype: None&quot;&quot;&quot;</span>
<span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">master</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span> <span class="o">=</span> <span class="n">master</span>
<span class="k">def</span> <span class="nf">_outline_trace</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">number_of_iterations</span><span class="p">,</span> <span class="n">length</span><span class="p">,</span> <span class="n">number_of_sides</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Internal function to draw outline of a recursive shape</span>
<span class="sd"> :param number_of_iterations: Number of iteration used to draw</span>
<span class="sd"> :param length: Size of a single side</span>
<span class="sd"> :param number_of_sides: Number of sides of the initial shape</span>
<span class="sd"> :type number_of_iterations: int</span>
<span class="sd"> :type length: int</span>
<span class="sd"> :type number_of_sides: int</span>
<span class="sd"> :returns: Nothing</span>
<span class="sd"> :rtype: None&quot;&quot;&quot;</span>
<span class="k">if</span> <span class="n">number_of_iterations</span> <span class="o">==</span> <span class="mi">0</span><span class="p">:</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">forward</span><span class="p">(</span><span class="n">length</span><span class="p">)</span>
<span class="k">else</span><span class="p">:</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_outline_trace</span><span class="p">(</span><span class="n">number_of_iterations</span> <span class="o">-</span> <span class="mi">1</span><span class="p">,</span> <span class="n">length</span><span class="p">,</span> <span class="n">number_of_sides</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">right</span><span class="p">(</span><span class="mf">360.</span> <span class="o">/</span> <span class="n">number_of_sides</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_outline_trace</span><span class="p">(</span><span class="n">number_of_iterations</span> <span class="o">-</span> <span class="mi">1</span><span class="p">,</span> <span class="n">length</span><span class="p">,</span> <span class="n">number_of_sides</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">right</span><span class="p">(</span><span class="o">-</span><span class="mf">360.</span> <span class="o">/</span> <span class="n">number_of_sides</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_outline_trace</span><span class="p">(</span><span class="n">number_of_iterations</span> <span class="o">-</span> <span class="mi">1</span><span class="p">,</span> <span class="n">length</span><span class="p">,</span> <span class="n">number_of_sides</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">right</span><span class="p">(</span><span class="o">-</span><span class="mf">360.</span> <span class="o">/</span> <span class="n">number_of_sides</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_outline_trace</span><span class="p">(</span><span class="n">number_of_iterations</span> <span class="o">-</span> <span class="mi">1</span><span class="p">,</span> <span class="n">length</span><span class="p">,</span> <span class="n">number_of_sides</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">right</span><span class="p">(</span><span class="mf">360.</span> <span class="o">/</span> <span class="n">number_of_sides</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_outline_trace</span><span class="p">(</span><span class="n">number_of_iterations</span> <span class="o">-</span> <span class="mi">1</span><span class="p">,</span> <span class="n">length</span><span class="p">,</span> <span class="n">number_of_sides</span><span class="p">)</span>
<div class="viewcode-block" id="Figures.regular_polygon"><a class="viewcode-back" href="../documentation.html#betterTurtle.Figures.regular_polygon">[docs]</a> <span class="k">def</span> <span class="nf">regular_polygon</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">number_of_sides</span><span class="p">,</span> <span class="n">length</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Draw a regular polygon</span>
<span class="sd"> :param number_of_sides: Number of sides of the polygon</span>
<span class="sd"> :param length: Length of a side</span>
<span class="sd"> :type number_of_sides: int</span>
<span class="sd"> :type length: int</span>
<span class="sd"> :returns: Nothing</span>
<span class="sd"> :rtype: None&quot;&quot;&quot;</span>
<span class="n">angle</span> <span class="o">=</span> <span class="mf">360.</span> <span class="o">/</span> <span class="n">number_of_sides</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">number_of_sides</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">forward</span><span class="p">(</span><span class="n">length</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">right</span><span class="p">(</span><span class="n">angle</span><span class="p">)</span></div>
<div class="viewcode-block" id="Figures.poly_repeat"><a class="viewcode-back" href="../documentation.html#betterTurtle.Figures.poly_repeat">[docs]</a> <span class="k">def</span> <span class="nf">poly_repeat</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">length</span><span class="p">,</span> <span class="n">number_of_side</span><span class="p">,</span> <span class="n">density</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Draw a repetition of a regular polygon</span>
<span class="sd"> :param length: Length of a side</span>
<span class="sd"> :param number_of_side: Regular polygon&#39;s side number</span>
<span class="sd"> :param density: quantity of polygon</span>
<span class="sd"> :type length: int</span>
<span class="sd"> :type number_of_side: int</span>
<span class="sd"> :type density: int</span>
<span class="sd"> :returns: Nothing</span>
<span class="sd"> :rtype: None&quot;&quot;&quot;</span>
<span class="n">angle</span> <span class="o">=</span> <span class="mf">360.</span> <span class="o">/</span> <span class="n">density</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">density</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">regular_polygon</span><span class="p">(</span><span class="n">number_of_side</span><span class="p">,</span> <span class="n">length</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">right</span><span class="p">(</span><span class="n">angle</span><span class="p">)</span></div>
<div class="viewcode-block" id="Figures.outline"><a class="viewcode-back" href="../documentation.html#betterTurtle.Figures.outline">[docs]</a> <span class="k">def</span> <span class="nf">outline</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">number_of_iteration</span><span class="p">,</span> <span class="n">length</span><span class="p">,</span> <span class="n">number_of_sides</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Draw outline of a recursive shape</span>
<span class="sd"> :param number_of_iteration: Number of iteration used to draw</span>
<span class="sd"> :param length: Length of a single side</span>
<span class="sd"> :param number_of_sides: Number of sides of the initial shape</span>
<span class="sd"> :type number_of_iteration: int</span>
<span class="sd"> :type length: int</span>
<span class="sd"> :type number_of_sides: int</span>
<span class="sd"> :returns: Nothing</span>
<span class="sd"> :rtype: None&quot;&quot;&quot;</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">number_of_sides</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_outline_trace</span><span class="p">(</span><span class="n">number_of_iteration</span><span class="p">,</span> <span class="n">length</span><span class="p">,</span> <span class="n">number_of_sides</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">right</span><span class="p">(</span><span class="mf">360.</span> <span class="o">/</span> <span class="n">number_of_sides</span><span class="p">)</span></div>
<div class="viewcode-block" id="Figures.tree"><a class="viewcode-back" href="../documentation.html#betterTurtle.Figures.tree">[docs]</a> <span class="k">def</span> <span class="nf">tree</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">length</span><span class="p">,</span> <span class="n">angles</span><span class="p">,</span> <span class="n">factor</span><span class="o">=</span><span class="mf">1.5</span><span class="p">,</span> <span class="n">min_size</span><span class="o">=</span><span class="mi">5</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Draw a tree recursively</span>
<span class="sd"> :param length: Length of the root of the tree</span>
<span class="sd"> :param angles: List of angles for branch</span>
<span class="sd"> :param factor: Reduce factor for next branch</span>
<span class="sd"> :param min_size: Minimal length of a branch</span>
<span class="sd"> :type length: int</span>
<span class="sd"> :type angles: list</span>
<span class="sd"> :type factor: float</span>
<span class="sd"> :type min_size: float</span>
<span class="sd"> :returns: Nothing</span>
<span class="sd"> :rtype: None&quot;&quot;&quot;</span>
<span class="k">if</span> <span class="n">length</span> <span class="o">&lt;</span> <span class="n">min_size</span><span class="p">:</span>
<span class="k">return</span> <span class="s2">&quot;&quot;</span>
<span class="k">else</span><span class="p">:</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">_state</span><span class="p">[</span><span class="s2">&quot;color&quot;</span><span class="p">]</span> <span class="o">=</span> <span class="p">(</span><span class="nb">int</span><span class="p">(</span><span class="n">length</span><span class="p">),</span> <span class="nb">int</span><span class="p">(</span><span class="n">length</span><span class="p">),</span> <span class="nb">int</span><span class="p">(</span><span class="n">length</span><span class="p">))</span>
<span class="k">for</span> <span class="n">angle</span> <span class="ow">in</span> <span class="n">angles</span><span class="p">:</span>
<span class="n">pos</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">get_position</span><span class="p">()</span>
<span class="n">base_angle</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">get_angle</span><span class="p">()</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">right</span><span class="p">(</span><span class="n">angle</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">forward</span><span class="p">(</span><span class="n">length</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_tree</span><span class="p">(</span><span class="n">length</span> <span class="o">/</span> <span class="n">factor</span><span class="p">,</span> <span class="n">angles</span><span class="p">,</span> <span class="n">factor</span><span class="o">=</span><span class="n">factor</span><span class="p">,</span> <span class="n">min_size</span><span class="o">=</span><span class="n">min_size</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">set_position</span><span class="p">(</span><span class="n">pos</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">set_angle</span><span class="p">(</span><span class="n">base_angle</span><span class="p">)</span></div>
<div class="viewcode-block" id="Figures.dragon"><a class="viewcode-back" href="../documentation.html#betterTurtle.Figures.dragon">[docs]</a> <span class="k">def</span> <span class="nf">dragon</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">length</span><span class="p">,</span> <span class="n">number_of_iteration</span><span class="p">,</span> <span class="n">angle</span><span class="o">=</span><span class="mi">1</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Draw the dragon curve</span>
<span class="sd"> :param angle: Start angle</span>
<span class="sd"> :param length: Length of a side</span>
<span class="sd"> :param number_of_iteration: Number of iteration for the curve</span>
<span class="sd"> :type length: int</span>
<span class="sd"> :type number_of_iteration: int</span>
<span class="sd"> :returns: Nothing</span>
<span class="sd"> :rtype: None&quot;&quot;&quot;</span>
<span class="k">if</span> <span class="n">number_of_iteration</span> <span class="o">==</span> <span class="mi">0</span><span class="p">:</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">forward</span><span class="p">(</span><span class="n">length</span><span class="p">)</span>
<span class="k">else</span><span class="p">:</span>
<span class="bp">self</span><span class="o">.</span><span class="n">dragon</span><span class="p">(</span><span class="n">length</span><span class="p">,</span> <span class="n">number_of_iteration</span> <span class="o">-</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">left</span><span class="p">(</span><span class="n">angle</span> <span class="o">*</span> <span class="mi">90</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">dragon</span><span class="p">(</span><span class="n">length</span><span class="p">,</span> <span class="n">number_of_iteration</span> <span class="o">-</span> <span class="mi">1</span><span class="p">,</span> <span class="o">-</span><span class="mi">1</span><span class="p">)</span></div>
<div class="viewcode-block" id="Figures.power"><a class="viewcode-back" href="../documentation.html#betterTurtle.Figures.power">[docs]</a> <span class="k">def</span> <span class="nf">power</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">length</span><span class="p">,</span> <span class="n">power</span><span class="p">,</span> <span class="n">base</span><span class="o">=</span><span class="mf">1.5</span><span class="p">):</span>
<span class="n">k</span> <span class="o">=</span> <span class="n">base</span>
<span class="n">list_powers</span> <span class="o">=</span> <span class="p">[]</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">power</span><span class="p">):</span>
<span class="n">k</span> <span class="o">=</span> <span class="mi">10</span> <span class="o">*</span> <span class="p">(</span><span class="n">k</span> <span class="o">*</span> <span class="mf">0.15</span> <span class="o">-</span> <span class="nb">int</span><span class="p">(</span><span class="n">k</span> <span class="o">*</span> <span class="mf">0.15</span><span class="p">))</span>
<span class="n">n</span> <span class="o">=</span> <span class="nb">int</span><span class="p">((</span><span class="n">k</span> <span class="o">-</span> <span class="nb">int</span><span class="p">(</span><span class="n">k</span><span class="p">))</span> <span class="o">*</span> <span class="mi">10</span><span class="p">)</span>
<span class="n">list_powers</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">n</span><span class="p">)</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">list_powers</span><span class="p">:</span>
<span class="n">angle</span> <span class="o">=</span> <span class="mi">36</span> <span class="o">*</span> <span class="n">i</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">right</span><span class="p">(</span><span class="n">angle</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">forward</span><span class="p">(</span><span class="n">length</span><span class="p">)</span></div>
<div class="viewcode-block" id="Figures.turning_tree"><a class="viewcode-back" href="../documentation.html#betterTurtle.Figures.turning_tree">[docs]</a> <span class="k">def</span> <span class="nf">turning_tree</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">length</span><span class="p">,</span> <span class="n">angles</span><span class="p">):</span>
<span class="k">while</span> <span class="kc">True</span><span class="p">:</span>
<span class="bp">self</span><span class="o">.</span><span class="n">tree</span><span class="p">(</span><span class="n">length</span><span class="p">,</span> <span class="n">angles</span><span class="p">)</span>
<span class="n">time</span><span class="o">.</span><span class="n">sleep</span><span class="p">(</span><span class="mf">0.1</span><span class="p">)</span>
<span class="n">i</span> <span class="o">=</span> <span class="mi">0</span>
<span class="k">for</span> <span class="n">_</span> <span class="ow">in</span> <span class="n">angles</span><span class="p">:</span>
<span class="n">angles</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">+=</span> <span class="mi">1</span>
<span class="n">i</span> <span class="o">+=</span> <span class="mi">1</span></div>
<span class="k">def</span> <span class="nf">_koch_curve</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">length</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">forward</span><span class="p">(</span><span class="n">length</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">left</span><span class="p">(</span><span class="mi">60</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">forward</span><span class="p">(</span><span class="n">length</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">right</span><span class="p">(</span><span class="mi">120</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">forward</span><span class="p">(</span><span class="n">length</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">left</span><span class="p">(</span><span class="mi">60</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">forward</span><span class="p">(</span><span class="n">length</span><span class="p">)</span>
<div class="viewcode-block" id="Figures.koch_curve"><a class="viewcode-back" href="../documentation.html#betterTurtle.Figures.koch_curve">[docs]</a> <span class="k">def</span> <span class="nf">koch_curve</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">length</span><span class="p">,</span> <span class="n">number_of_iteration</span><span class="p">):</span>
<span class="k">if</span> <span class="n">number_of_iteration</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">:</span>
<span class="bp">self</span><span class="o">.</span><span class="n">koch_curve</span><span class="p">(</span><span class="n">length</span> <span class="o">/</span> <span class="mf">3.</span><span class="p">,</span> <span class="n">number_of_iteration</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">left</span><span class="p">(</span><span class="mi">60</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">koch_curve</span><span class="p">(</span><span class="n">length</span> <span class="o">/</span> <span class="mf">3.</span><span class="p">,</span> <span class="n">number_of_iteration</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">right</span><span class="p">(</span><span class="mi">120</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">koch_curve</span><span class="p">(</span><span class="n">length</span> <span class="o">/</span> <span class="mf">3.</span><span class="p">,</span> <span class="n">number_of_iteration</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">canvas</span><span class="o">.</span><span class="n">left</span><span class="p">(</span><span class="mi">60</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">koch_curve</span><span class="p">(</span><span class="n">length</span> <span class="o">/</span> <span class="mf">3.</span><span class="p">,</span> <span class="n">number_of_iteration</span> <span class="o">-</span> <span class="mi">1</span><span class="p">)</span>
<span class="k">else</span><span class="p">:</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_koch_curve</span><span class="p">(</span><span class="n">length</span><span class="p">)</span></div></div>
<div class="viewcode-block" id="Turtle"><a class="viewcode-back" href="../documentation.html#betterTurtle.Turtle">[docs]</a><span class="k">class</span> <span class="nc">Turtle</span><span class="p">:</span>
<span class="nd">@staticmethod</span>
<span class="k">def</span> <span class="nf">_calc_center</span><span class="p">(</span><span class="n">size</span><span class="p">):</span>
<span class="k">return</span> <span class="n">size</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">/</span> <span class="mi">2</span><span class="p">,</span> <span class="n">size</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">/</span> <span class="mi">2</span>
<span class="k">def</span> <span class="nf">_forward</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">distance</span><span class="p">):</span>
<span class="n">AB</span> <span class="o">=</span> <span class="p">(</span><span class="n">distance</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">math</span><span class="o">.</span><span class="n">radians</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">_state</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">&quot;angle&quot;</span><span class="p">))))</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">_state</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">&quot;coordinate_x&quot;</span><span class="p">)</span>
<span class="n">AC</span> <span class="o">=</span> <span class="p">(</span><span class="n">distance</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">math</span><span class="o">.</span><span class="n">radians</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">_state</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">&quot;angle&quot;</span><span class="p">))))</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">_state</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">&quot;coordinate_y&quot;</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_forward_image</span><span class="p">(</span><span class="n">distance</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_set_coordinates</span><span class="p">((</span><span class="n">AB</span><span class="p">,</span> <span class="n">AC</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">_forward_image</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">distance</span><span class="p">):</span>
<span class="n">AB</span> <span class="o">=</span> <span class="p">(</span><span class="n">distance</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">math</span><span class="o">.</span><span class="n">radians</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">_state</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">&quot;angle&quot;</span><span class="p">))))</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">_state</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">&quot;coordinate_x&quot;</span><span class="p">)</span>
<span class="n">AC</span> <span class="o">=</span> <span class="p">(</span><span class="n">distance</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">math</span><span class="o">.</span><span class="n">radians</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">_state</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">&quot;angle&quot;</span><span class="p">))))</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">_state</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">&quot;coordinate_y&quot;</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">draw</span><span class="o">.</span><span class="n">line</span><span class="p">((</span><span class="bp">self</span><span class="o">.</span><span class="n">get_position</span><span class="p">(</span><span class="s1">&#39;x&#39;</span><span class="p">)</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">resolution</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">get_position</span><span class="p">(</span><span class="s1">&#39;y&#39;</span><span class="p">)</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">resolution</span><span class="p">,</span>
<span class="n">AB</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">resolution</span><span class="p">,</span> <span class="n">AC</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">resolution</span><span class="p">),</span> <span class="n">fill</span><span class="o">=</span><span class="bp">self</span><span class="o">.</span><span class="n">_state</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">&quot;colour&quot;</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">_turn</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">angle</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_set_angle</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">_state</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">&quot;angle&quot;</span><span class="p">)</span> <span class="o">+</span> <span class="n">angle</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">_set_angle</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">angle</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_state</span><span class="p">[</span><span class="s2">&quot;angle&quot;</span><span class="p">]</span> <span class="o">=</span> <span class="n">angle</span>
<span class="k">while</span> <span class="bp">self</span><span class="o">.</span><span class="n">_state</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">&quot;angle&quot;</span><span class="p">)</span> <span class="o">&gt;=</span> <span class="mi">360</span><span class="p">:</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_state</span><span class="p">[</span><span class="s2">&quot;angle&quot;</span><span class="p">]</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">_state</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">&quot;angle&quot;</span><span class="p">)</span> <span class="o">-</span> <span class="mi">360</span>
<span class="k">def</span> <span class="nf">_clear</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="k">pass</span>
<span class="k">def</span> <span class="nf">_clear_img</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">image</span> <span class="o">=</span> <span class="n">Image</span><span class="o">.</span><span class="n">new</span><span class="p">(</span>
<span class="s1">&#39;1&#39;</span><span class="p">,</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">_config</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">&quot;size&quot;</span><span class="p">)),</span> <span class="p">(</span><span class="mi">255</span><span class="p">,</span> <span class="mi">255</span><span class="p">,</span> <span class="mi">255</span><span class="p">))</span>
<span class="bp">self</span><span class="o">.</span><span class="n">draw</span> <span class="o">=</span> <span class="n">ImageDraw</span><span class="o">.</span><span class="n">Draw</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">image</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">titre</span><span class="o">=</span><span class="s2">&quot;Turtle&quot;</span><span class="p">,</span> <span class="n">size</span><span class="o">=</span><span class="p">(</span>
<span class="mi">400</span><span class="p">,</span> <span class="mi">400</span><span class="p">),</span> <span class="n">resolution</span><span class="o">=</span><span class="mi">10</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_config</span> <span class="o">=</span> <span class="p">{</span><span class="s2">&quot;titre&quot;</span><span class="p">:</span> <span class="n">titre</span><span class="p">,</span>
<span class="s2">&quot;size&quot;</span><span class="p">:</span> <span class="n">size</span><span class="p">,</span>
<span class="s2">&quot;size_IMG&quot;</span><span class="p">:</span> <span class="p">(</span><span class="n">size</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">*</span> <span class="n">resolution</span><span class="p">,</span> <span class="n">size</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">*</span> <span class="n">resolution</span><span class="p">),</span>
<span class="s2">&quot;center&quot;</span><span class="p">:</span> <span class="bp">self</span><span class="o">.</span><span class="n">_calc_center</span><span class="p">(</span><span class="n">size</span><span class="p">),</span>
<span class="p">}</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_state</span> <span class="o">=</span> <span class="p">{</span><span class="s2">&quot;angle&quot;</span><span class="p">:</span> <span class="mi">0</span><span class="p">,</span>
<span class="s2">&quot;coordinate_x&quot;</span><span class="p">:</span> <span class="bp">self</span><span class="o">.</span><span class="n">_config</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">&quot;center&quot;</span><span class="p">)[</span><span class="mi">0</span><span class="p">],</span>
<span class="s2">&quot;coordinate_y&quot;</span><span class="p">:</span> <span class="bp">self</span><span class="o">.</span><span class="n">_config</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">&quot;center&quot;</span><span class="p">)[</span><span class="mi">1</span><span class="p">],</span>
<span class="s2">&quot;colour&quot;</span><span class="p">:</span> <span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">),</span>
<span class="p">}</span>
<span class="bp">self</span><span class="o">.</span><span class="n">fractal</span> <span class="o">=</span> <span class="n">Figures</span><span class="p">(</span><span class="bp">self</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">image</span> <span class="o">=</span> <span class="n">Image</span><span class="o">.</span><span class="n">new</span><span class="p">(</span>
<span class="s1">&#39;RGB&#39;</span><span class="p">,</span>
<span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">_config</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">&quot;size_IMG&quot;</span><span class="p">)),</span>
<span class="p">(</span><span class="mi">255</span><span class="p">,</span>
<span class="mi">255</span><span class="p">,</span>
<span class="mi">255</span><span class="p">))</span>
<span class="bp">self</span><span class="o">.</span><span class="n">draw</span> <span class="o">=</span> <span class="n">ImageDraw</span><span class="o">.</span><span class="n">Draw</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">image</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">resolution</span> <span class="o">=</span> <span class="n">resolution</span>
<div class="viewcode-block" id="Turtle.forward"><a class="viewcode-back" href="../documentation.html#betterTurtle.Turtle.forward">[docs]</a> <span class="k">def</span> <span class="nf">forward</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">distance</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_forward</span><span class="p">(</span><span class="n">distance</span><span class="p">)</span></div>
<div class="viewcode-block" id="Turtle.backward"><a class="viewcode-back" href="../documentation.html#betterTurtle.Turtle.backward">[docs]</a> <span class="k">def</span> <span class="nf">backward</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">distance</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_forward</span><span class="p">(</span><span class="o">-</span><span class="n">distance</span><span class="p">)</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">sauvegarde</span><span class="p">:</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_forward_image</span><span class="p">(</span><span class="o">-</span><span class="n">distance</span><span class="p">)</span></div>
<div class="viewcode-block" id="Turtle.right"><a class="viewcode-back" href="../documentation.html#betterTurtle.Turtle.right">[docs]</a> <span class="k">def</span> <span class="nf">right</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">angle</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_turn</span><span class="p">(</span><span class="n">angle</span><span class="p">)</span></div>
<div class="viewcode-block" id="Turtle.left"><a class="viewcode-back" href="../documentation.html#betterTurtle.Turtle.left">[docs]</a> <span class="k">def</span> <span class="nf">left</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">angle</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_turn</span><span class="p">(</span><span class="o">-</span><span class="n">angle</span><span class="p">)</span></div>
<div class="viewcode-block" id="Turtle.set_pixel"><a class="viewcode-back" href="../documentation.html#betterTurtle.Turtle.set_pixel">[docs]</a> <span class="k">def</span> <span class="nf">set_pixel</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">coordinate</span><span class="p">,</span> <span class="n">colour</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">draw</span><span class="o">.</span><span class="n">point</span><span class="p">(</span><span class="n">coordinate</span><span class="p">,</span> <span class="n">colour</span> <span class="k">if</span> <span class="n">colour</span> <span class="k">else</span> <span class="bp">self</span><span class="o">.</span><span class="n">_state</span><span class="p">[</span><span class="s2">&quot;colour&quot;</span><span class="p">])</span></div>
<div class="viewcode-block" id="Turtle.goto"><a class="viewcode-back" href="../documentation.html#betterTurtle.Turtle.goto">[docs]</a> <span class="k">def</span> <span class="nf">goto</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">coordinates</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_set_coordinates</span><span class="p">(</span><span class="n">coordinates</span><span class="p">)</span>
<span class="bp">self</span><span class="o">.</span><span class="n">draw</span><span class="o">.</span><span class="n">line</span><span class="p">(</span><span class="n">coordinates</span><span class="p">)</span></div>
<span class="k">def</span> <span class="nf">_set_coordinates</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">coordinates</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_state</span><span class="p">[</span><span class="s2">&quot;coordinate_x&quot;</span><span class="p">]</span> <span class="o">=</span> <span class="n">coordinates</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_state</span><span class="p">[</span><span class="s2">&quot;coordinate_y&quot;</span><span class="p">]</span> <span class="o">=</span> <span class="n">coordinates</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
<div class="viewcode-block" id="Turtle.clear"><a class="viewcode-back" href="../documentation.html#betterTurtle.Turtle.clear">[docs]</a> <span class="k">def</span> <span class="nf">clear</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_clear</span><span class="p">()</span></div>
<div class="viewcode-block" id="Turtle.set_position"><a class="viewcode-back" href="../documentation.html#betterTurtle.Turtle.set_position">[docs]</a> <span class="k">def</span> <span class="nf">set_position</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">coordinates</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_set_coordinates</span><span class="p">(</span><span class="n">coordinates</span><span class="p">)</span></div>
<div class="viewcode-block" id="Turtle.get_position"><a class="viewcode-back" href="../documentation.html#betterTurtle.Turtle.get_position">[docs]</a> <span class="k">def</span> <span class="nf">get_position</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">type_coord</span><span class="o">=</span><span class="s1">&#39;&#39;</span><span class="p">):</span>
<span class="k">if</span> <span class="n">type_coord</span> <span class="o">==</span> <span class="s1">&#39;x&#39;</span><span class="p">:</span>
<span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">_state</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">&quot;coordinate_x&quot;</span><span class="p">)</span>
<span class="k">elif</span> <span class="n">type_coord</span> <span class="o">==</span> <span class="s2">&quot;y&quot;</span><span class="p">:</span>
<span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">_state</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">&quot;coordinate_y&quot;</span><span class="p">)</span>
<span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">_state</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">&quot;coordinate_x&quot;</span><span class="p">),</span> <span class="bp">self</span><span class="o">.</span><span class="n">_state</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">&quot;coordinate_y&quot;</span><span class="p">)</span></div>
<div class="viewcode-block" id="Turtle.set_angle"><a class="viewcode-back" href="../documentation.html#betterTurtle.Turtle.set_angle">[docs]</a> <span class="k">def</span> <span class="nf">set_angle</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">angle</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">_set_angle</span><span class="p">(</span><span class="n">angle</span><span class="p">)</span></div>
<div class="viewcode-block" id="Turtle.get_angle"><a class="viewcode-back" href="../documentation.html#betterTurtle.Turtle.get_angle">[docs]</a> <span class="k">def</span> <span class="nf">get_angle</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">_state</span><span class="o">.</span><span class="n">get</span><span class="p">(</span><span class="s2">&quot;angle&quot;</span><span class="p">)</span></div>
<div class="viewcode-block" id="Turtle.get_state"><a class="viewcode-back" href="../documentation.html#betterTurtle.Turtle.get_state">[docs]</a> <span class="k">def</span> <span class="nf">get_state</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="n">text</span> <span class="o">=</span> <span class="s2">&quot;&quot;</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">_state</span><span class="o">.</span><span class="n">items</span><span class="p">():</span>
<span class="n">text</span> <span class="o">=</span> <span class="n">text</span> <span class="o">+</span> <span class="s2">&quot;</span><span class="se">\n</span><span class="s2">&quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">i</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span> <span class="o">+</span> <span class="s2">&quot;:&quot;</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">i</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span>
<span class="k">return</span> <span class="n">text</span></div>
<div class="viewcode-block" id="Turtle.save"><a class="viewcode-back" href="../documentation.html#betterTurtle.Turtle.save">[docs]</a> <span class="k">def</span> <span class="nf">save</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">path</span><span class="p">,</span> <span class="n">type_img</span><span class="o">=</span><span class="kc">None</span><span class="p">):</span>
<span class="bp">self</span><span class="o">.</span><span class="n">image</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="n">path</span><span class="p">,</span> <span class="n">type_img</span><span class="p">)</span></div></div>
<span class="k">if</span> <span class="vm">__name__</span> <span class="o">==</span> <span class="s2">&quot;__main__&quot;</span><span class="p">:</span>
<span class="n">t</span> <span class="o">=</span> <span class="n">Turtle</span><span class="p">(</span><span class="n">size</span><span class="o">=</span><span class="p">(</span><span class="mi">10000</span><span class="p">,</span> <span class="mi">10000</span><span class="p">),</span> <span class="n">resolution</span><span class="o">=</span><span class="mi">1</span><span class="p">)</span>
<span class="n">t</span><span class="o">.</span><span class="n">set_position</span><span class="p">((</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">))</span>
<span class="n">t</span><span class="o">.</span><span class="n">fractal</span><span class="o">.</span><span class="n">outline</span><span class="p">(</span><span class="mi">8</span><span class="p">,</span> <span class="mi">40</span><span class="p">,</span> <span class="mi">4</span><span class="p">)</span>
<span class="n">t</span><span class="o">.</span><span class="n">save</span><span class="p">(</span><span class="s2">&quot;D:</span><span class="se">\\</span><span class="s2">Users</span><span class="se">\\</span><span class="s2">louis chauvet</span><span class="se">\\</span><span class="s2">Documents</span><span class="se">\\</span><span class="s2">GitHub</span><span class="se">\\</span><span class="s2">fractale</span><span class="se">\\</span><span class="s2">test.bmp&quot;</span><span class="p">)</span>
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