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<div class="highlight"><pre><span class="lineno">1</span><span></span><span class="kn">from</span> <span class="nn">typing</span> <span class="kn">import</span> <span class="n">Tuple</span><span class="p">,</span> <span class="n">List</span></pre></div>
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<div class="highlight"><pre><span class="lineno">4</span><span class="k">class</span> <span class="nc">Schedule</span><span class="p">:</span></pre></div>
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<div class="highlight"><pre><span class="lineno">5</span> <span class="k">def</span> <span class="fm">__call__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">x</span><span class="p">):</span>
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<span class="lineno">6</span> <span class="k">raise</span> <span class="ne">NotImplementedError</span><span class="p">()</span></pre></div>
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<div class="highlight"><pre><span class="lineno">9</span><span class="k">class</span> <span class="nc">Flat</span><span class="p">(</span><span class="n">Schedule</span><span class="p">):</span></pre></div>
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<div class="highlight"><pre><span class="lineno">10</span> <span class="k">def</span> <span class="fm">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">value</span><span class="p">):</span>
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<span class="lineno">11</span> <span class="bp">self</span><span class="o">.</span><span class="n">__value</span> <span class="o">=</span> <span class="n">value</span></pre></div>
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<div class="highlight"><pre><span class="lineno">13</span> <span class="k">def</span> <span class="fm">__call__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">x</span><span class="p">):</span>
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<span class="lineno">14</span> <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">__value</span></pre></div>
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<div class="highlight"><pre><span class="lineno">16</span> <span class="k">def</span> <span class="fm">__str__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
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<span class="lineno">17</span> <span class="k">return</span> <span class="sa">f</span><span class="s2">"Schedule(</span><span class="si">{</span><span class="bp">self</span><span class="o">.</span><span class="n">__value</span><span class="si">}</span><span class="s2">)"</span></pre></div>
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<div class="highlight"><pre><span class="lineno">20</span><span class="k">class</span> <span class="nc">Dynamic</span><span class="p">(</span><span class="n">Schedule</span><span class="p">):</span></pre></div>
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<div class="highlight"><pre><span class="lineno">21</span> <span class="k">def</span> <span class="fm">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">value</span><span class="p">):</span>
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<span class="lineno">22</span> <span class="bp">self</span><span class="o">.</span><span class="n">__value</span> <span class="o">=</span> <span class="n">value</span></pre></div>
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<div class="highlight"><pre><span class="lineno">24</span> <span class="k">def</span> <span class="fm">__call__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">x</span><span class="p">):</span>
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<span class="lineno">25</span> <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">__value</span></pre></div>
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<div class="highlight"><pre><span class="lineno">27</span> <span class="k">def</span> <span class="nf">update</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">value</span><span class="p">):</span>
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<span class="lineno">28</span> <span class="bp">self</span><span class="o">.</span><span class="n">__value</span> <span class="o">=</span> <span class="n">value</span></pre></div>
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<div class="highlight"><pre><span class="lineno">30</span> <span class="k">def</span> <span class="fm">__str__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
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<span class="lineno">31</span> <span class="k">return</span> <span class="s2">"Dynamic"</span></pre></div>
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<h2>Piecewise schedule</h2>
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<div class="highlight"><pre><span class="lineno">34</span><span class="k">class</span> <span class="nc">Piecewise</span><span class="p">(</span><span class="n">Schedule</span><span class="p">):</span></pre></div>
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<a href='#section-13'>#</a>
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<h3>Initialize</h3>
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<p><code class="highlight"><span></span><span class="n">endpoints</span></code>
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is list of pairs <code class="highlight"><span></span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span></code>
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. The values between endpoints are linearly interpolated. <code class="highlight"><span></span><span class="n">y</span></code>
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values outside the range covered by <code class="highlight"><span></span><span class="n">x</span></code>
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are <code class="highlight"><span></span><span class="n">outside_value</span></code>
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.</p>
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<div class='code'>
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<div class="highlight"><pre><span class="lineno">39</span> <span class="k">def</span> <span class="fm">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">endpoints</span><span class="p">:</span> <span class="n">List</span><span class="p">[</span><span class="n">Tuple</span><span class="p">[</span><span class="nb">float</span><span class="p">,</span> <span class="nb">float</span><span class="p">]],</span> <span class="n">outside_value</span><span class="p">:</span> <span class="nb">float</span> <span class="o">=</span> <span class="kc">None</span><span class="p">):</span></pre></div>
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<p><code class="highlight"><span></span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span></code>
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pairs should be sorted </p>
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</div>
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<div class='code'>
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<div class="highlight"><pre><span class="lineno">50</span> <span class="n">indexes</span> <span class="o">=</span> <span class="p">[</span><span class="n">e</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="k">for</span> <span class="n">e</span> <span class="ow">in</span> <span class="n">endpoints</span><span class="p">]</span>
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<span class="lineno">51</span> <span class="k">assert</span> <span class="n">indexes</span> <span class="o">==</span> <span class="nb">sorted</span><span class="p">(</span><span class="n">indexes</span><span class="p">)</span>
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<span class="lineno">52</span>
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<span class="lineno">53</span> <span class="bp">self</span><span class="o">.</span><span class="n">_outside_value</span> <span class="o">=</span> <span class="n">outside_value</span>
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<span class="lineno">54</span> <span class="bp">self</span><span class="o">.</span><span class="n">_endpoints</span> <span class="o">=</span> <span class="n">endpoints</span></pre></div>
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<a href='#section-15'>#</a>
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<h3>Find <code class="highlight"><span></span><span class="n">y</span></code>
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for given <code class="highlight"><span></span><span class="n">x</span></code>
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</h3>
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<div class='code'>
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<div class="highlight"><pre><span class="lineno">56</span> <span class="k">def</span> <span class="fm">__call__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">x</span><span class="p">):</span></pre></div>
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<a href='#section-16'>#</a>
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<p>iterate through each segment </p>
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<div class='code'>
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<div class="highlight"><pre><span class="lineno">62</span> <span class="k">for</span> <span class="p">(</span><span class="n">x1</span><span class="p">,</span> <span class="n">y1</span><span class="p">),</span> <span class="p">(</span><span class="n">x2</span><span class="p">,</span> <span class="n">y2</span><span class="p">)</span> <span class="ow">in</span> <span class="nb">zip</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">_endpoints</span><span class="p">[:</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">_endpoints</span><span class="p">[</span><span class="mi">1</span><span class="p">:]):</span></pre></div>
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<a href='#section-17'>#</a>
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<p>interpolate if <code class="highlight"><span></span><span class="n">x</span></code>
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is within the segment </p>
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<div class='code'>
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<div class="highlight"><pre><span class="lineno">64</span> <span class="k">if</span> <span class="n">x1</span> <span class="o"><=</span> <span class="n">x</span> <span class="o"><</span> <span class="n">x2</span><span class="p">:</span>
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<span class="lineno">65</span> <span class="n">dx</span> <span class="o">=</span> <span class="nb">float</span><span class="p">(</span><span class="n">x</span> <span class="o">-</span> <span class="n">x1</span><span class="p">)</span> <span class="o">/</span> <span class="p">(</span><span class="n">x2</span> <span class="o">-</span> <span class="n">x1</span><span class="p">)</span>
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<span class="lineno">66</span> <span class="k">return</span> <span class="n">y1</span> <span class="o">+</span> <span class="n">dx</span> <span class="o">*</span> <span class="p">(</span><span class="n">y2</span> <span class="o">-</span> <span class="n">y1</span><span class="p">)</span></pre></div>
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<p>return outside value otherwise </p>
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<div class="highlight"><pre><span class="lineno">69</span> <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">_outside_value</span></pre></div>
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<div class="highlight"><pre><span class="lineno">71</span> <span class="k">def</span> <span class="fm">__str__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
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<span class="lineno">72</span> <span class="n">endpoints</span> <span class="o">=</span> <span class="s2">", "</span><span class="o">.</span><span class="n">join</span><span class="p">([</span><span class="sa">f</span><span class="s2">"(</span><span class="si">{</span><span class="n">e</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="si">}</span><span class="s2">, </span><span class="si">{</span><span class="n">e</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="si">}</span><span class="s2">)"</span> <span class="k">for</span> <span class="n">e</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">_endpoints</span><span class="p">])</span>
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<span class="lineno">73</span> <span class="k">return</span> <span class="sa">f</span><span class="s2">"Schedule[</span><span class="si">{</span><span class="n">endpoints</span><span class="si">}</span><span class="s2">, </span><span class="si">{</span><span class="bp">self</span><span class="o">.</span><span class="n">_outside_value</span><span class="si">}</span><span class="s2">]"</span></pre></div>
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<a href='#section-20'>#</a>
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<div class='code'>
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<div class="highlight"><pre><span class="lineno">76</span><span class="k">class</span> <span class="nc">RelativePiecewise</span><span class="p">(</span><span class="n">Piecewise</span><span class="p">):</span></pre></div>
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<div class='code'>
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<div class="highlight"><pre><span class="lineno">77</span> <span class="k">def</span> <span class="fm">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">relative_endpoits</span><span class="p">:</span> <span class="n">List</span><span class="p">[</span><span class="n">Tuple</span><span class="p">[</span><span class="nb">float</span><span class="p">,</span> <span class="nb">float</span><span class="p">]],</span> <span class="n">total_steps</span><span class="p">:</span> <span class="nb">int</span><span class="p">):</span>
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<span class="lineno">78</span> <span class="n">endpoints</span> <span class="o">=</span> <span class="p">[]</span>
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<span class="lineno">79</span> <span class="k">for</span> <span class="n">e</span> <span class="ow">in</span> <span class="n">relative_endpoits</span><span class="p">:</span>
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<span class="lineno">80</span> <span class="n">index</span> <span class="o">=</span> <span class="nb">int</span><span class="p">(</span><span class="n">total_steps</span> <span class="o">*</span> <span class="n">e</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span>
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<span class="lineno">81</span> <span class="k">assert</span> <span class="n">index</span> <span class="o">>=</span> <span class="mi">0</span>
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<span class="lineno">82</span> <span class="n">endpoints</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="n">index</span><span class="p">,</span> <span class="n">e</span><span class="p">[</span><span class="mi">1</span><span class="p">]))</span>
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<span class="lineno">83</span>
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<span class="lineno">84</span> <span class="nb">super</span><span class="p">()</span><span class="o">.</span><span class="fm">__init__</span><span class="p">(</span><span class="n">endpoints</span><span class="p">,</span> <span class="n">outside_value</span><span class="o">=</span><span class="n">relative_endpoits</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">][</span><span class="mi">1</span><span class="p">])</span></pre></div>
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