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<span class="text">Coverage for </span><b>muutils\interval.py</b>:
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<p class="pln"><span class="n"><a id="t1" href="#t1">1</a></span><span class="t"><span class="str">"represents a mathematical `Interval` over the real numbers"</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t2" href="#t2">2</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t3" href="#t3">3</a></span><span class="t"><span class="key">from</span> <span class="nam">__future__</span> <span class="key">import</span> <span class="nam">annotations</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t4" href="#t4">4</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t5" href="#t5">5</a></span><span class="t"><span class="key">import</span> <span class="nam">math</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t6" href="#t6">6</a></span><span class="t"><span class="key">import</span> <span class="nam">typing</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t7" href="#t7">7</a></span><span class="t"><span class="key">from</span> <span class="nam">typing</span> <span class="key">import</span> <span class="nam">Optional</span><span class="op">,</span> <span class="nam">Iterable</span><span class="op">,</span> <span class="nam">Sequence</span><span class="op">,</span> <span class="nam">Union</span><span class="op">,</span> <span class="nam">Any</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t8" href="#t8">8</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t9" href="#t9">9</a></span><span class="t"><span class="key">from</span> <span class="nam">muutils</span><span class="op">.</span><span class="nam">misc</span> <span class="key">import</span> <span class="nam">str_to_numeric</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t10" href="#t10">10</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t11" href="#t11">11</a></span><span class="t"><span class="nam">_EPSILON</span><span class="op">:</span> <span class="nam">float</span> <span class="op">=</span> <span class="num">1e-10</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t12" href="#t12">12</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t13" href="#t13">13</a></span><span class="t"><span class="nam">Number</span> <span class="op">=</span> <span class="nam">Union</span><span class="op">[</span><span class="nam">float</span><span class="op">,</span> <span class="nam">int</span><span class="op">]</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t14" href="#t14">14</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t15" href="#t15">15</a></span><span class="t"><span class="nam">_EMPTY_INTERVAL_ARGS</span><span class="op">:</span> <span class="nam">tuple</span><span class="op">[</span><span class="nam">Number</span><span class="op">,</span> <span class="nam">Number</span><span class="op">,</span> <span class="nam">bool</span><span class="op">,</span> <span class="nam">bool</span><span class="op">,</span> <span class="nam">set</span><span class="op">[</span><span class="nam">Number</span><span class="op">]</span><span class="op">]</span> <span class="op">=</span> <span class="op">(</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t16" href="#t16">16</a></span><span class="t"> <span class="nam">math</span><span class="op">.</span><span class="nam">nan</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t17" href="#t17">17</a></span><span class="t"> <span class="nam">math</span><span class="op">.</span><span class="nam">nan</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t18" href="#t18">18</a></span><span class="t"> <span class="key">False</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t19" href="#t19">19</a></span><span class="t"> <span class="key">False</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t20" href="#t20">20</a></span><span class="t"> <span class="nam">set</span><span class="op">(</span><span class="op">)</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t21" href="#t21">21</a></span><span class="t"><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t22" href="#t22">22</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t23" href="#t23">23</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t24" href="#t24">24</a></span><span class="t"><span class="key">class</span> <span class="nam">Interval</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t25" href="#t25">25</a></span><span class="t"> <span class="str">"""</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t26" href="#t26">26</a></span><span class="t"><span class="str"> Represents a mathematical interval, open by default.</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t27" href="#t27">27</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t28" href="#t28">28</a></span><span class="t"><span class="str"> The Interval class can represent both open and closed intervals, as well as half-open intervals.</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t29" href="#t29">29</a></span><span class="t"><span class="str"> It supports various initialization methods and provides containment checks.</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t30" href="#t30">30</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t31" href="#t31">31</a></span><span class="t"><span class="str"> Examples:</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t32" href="#t32">32</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t33" href="#t33">33</a></span><span class="t"><span class="str"> >>> i1 = Interval(1, 5) # Default open interval (1, 5)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t34" href="#t34">34</a></span><span class="t"><span class="str"> >>> 3 in i1</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t35" href="#t35">35</a></span><span class="t"><span class="str"> True</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t36" href="#t36">36</a></span><span class="t"><span class="str"> >>> 1 in i1</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t37" href="#t37">37</a></span><span class="t"><span class="str"> False</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t38" href="#t38">38</a></span><span class="t"><span class="str"> >>> i2 = Interval([1, 5]) # Closed interval [1, 5]</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t39" href="#t39">39</a></span><span class="t"><span class="str"> >>> 1 in i2</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t40" href="#t40">40</a></span><span class="t"><span class="str"> True</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t41" href="#t41">41</a></span><span class="t"><span class="str"> >>> i3 = Interval(1, 5, closed_L=True) # Half-open interval [1, 5)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t42" href="#t42">42</a></span><span class="t"><span class="str"> >>> str(i3)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t43" href="#t43">43</a></span><span class="t"><span class="str"> '[1, 5)'</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t44" href="#t44">44</a></span><span class="t"><span class="str"> >>> i4 = ClosedInterval(1, 5) # Closed interval [1, 5]</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t45" href="#t45">45</a></span><span class="t"><span class="str"> >>> i5 = OpenInterval(1, 5) # Open interval (1, 5)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t46" href="#t46">46</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t47" href="#t47">47</a></span><span class="t"><span class="str"> """</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t48" href="#t48">48</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t49" href="#t49">49</a></span><span class="t"> <span class="key">def</span> <span class="nam">__init__</span><span class="op">(</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t50" href="#t50">50</a></span><span class="t"> <span class="nam">self</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t51" href="#t51">51</a></span><span class="t"> <span class="op">*</span><span class="nam">args</span><span class="op">:</span> <span class="nam">Union</span><span class="op">[</span><span class="nam">Sequence</span><span class="op">[</span><span class="nam">Number</span><span class="op">]</span><span class="op">,</span> <span class="nam">Number</span><span class="op">]</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t52" href="#t52">52</a></span><span class="t"> <span class="nam">is_closed</span><span class="op">:</span> <span class="nam">Optional</span><span class="op">[</span><span class="nam">bool</span><span class="op">]</span> <span class="op">=</span> <span class="key">None</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t53" href="#t53">53</a></span><span class="t"> <span class="nam">closed_L</span><span class="op">:</span> <span class="nam">Optional</span><span class="op">[</span><span class="nam">bool</span><span class="op">]</span> <span class="op">=</span> <span class="key">None</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t54" href="#t54">54</a></span><span class="t"> <span class="nam">closed_R</span><span class="op">:</span> <span class="nam">Optional</span><span class="op">[</span><span class="nam">bool</span><span class="op">]</span> <span class="op">=</span> <span class="key">None</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t55" href="#t55">55</a></span><span class="t"> <span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t56" href="#t56">56</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span><span class="op">:</span> <span class="nam">Number</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t57" href="#t57">57</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span><span class="op">:</span> <span class="nam">Number</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t58" href="#t58">58</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_L</span><span class="op">:</span> <span class="nam">bool</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t59" href="#t59">59</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_R</span><span class="op">:</span> <span class="nam">bool</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t60" href="#t60">60</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">singleton_set</span><span class="op">:</span> <span class="nam">Optional</span><span class="op">[</span><span class="nam">set</span><span class="op">[</span><span class="nam">Number</span><span class="op">]</span><span class="op">]</span> <span class="op">=</span> <span class="key">None</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t61" href="#t61">61</a></span><span class="t"> <span class="key">try</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t62" href="#t62">62</a></span><span class="t"> <span class="key">if</span> <span class="nam">len</span><span class="op">(</span><span class="nam">args</span><span class="op">)</span> <span class="op">==</span> <span class="num">0</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t63" href="#t63">63</a></span><span class="t"> <span class="op">(</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t64" href="#t64">64</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t65" href="#t65">65</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t66" href="#t66">66</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_L</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t67" href="#t67">67</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_R</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t68" href="#t68">68</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">singleton_set</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t69" href="#t69">69</a></span><span class="t"> <span class="op">)</span> <span class="op">=</span> <span class="nam">_EMPTY_INTERVAL_ARGS</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t70" href="#t70">70</a></span><span class="t"> <span class="key">return</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t71" href="#t71">71</a></span><span class="t"> <span class="com"># Handle different types of input arguments</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t72" href="#t72">72</a></span><span class="t"> <span class="key">if</span> <span class="nam">len</span><span class="op">(</span><span class="nam">args</span><span class="op">)</span> <span class="op">==</span> <span class="num">1</span> <span class="key">and</span> <span class="nam">isinstance</span><span class="op">(</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t73" href="#t73">73</a></span><span class="t"> <span class="nam">args</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">,</span> <span class="op">(</span><span class="nam">list</span><span class="op">,</span> <span class="nam">tuple</span><span class="op">,</span> <span class="nam">Sequence</span><span class="op">,</span> <span class="nam">Iterable</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t74" href="#t74">74</a></span><span class="t"> <span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t75" href="#t75">75</a></span><span class="t"> <span class="key">assert</span> <span class="op">(</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t76" href="#t76">76</a></span><span class="t"> <span class="nam">len</span><span class="op">(</span><span class="nam">args</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">)</span> <span class="op">==</span> <span class="num">2</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t77" href="#t77">77</a></span><span class="t"> <span class="op">)</span><span class="op">,</span> <span class="str">"if arg is a list or tuple, it must have length 2"</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t78" href="#t78">78</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span> <span class="op">=</span> <span class="nam">args</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">[</span><span class="num">0</span><span class="op">]</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t79" href="#t79">79</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span> <span class="op">=</span> <span class="nam">args</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">[</span><span class="num">1</span><span class="op">]</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t80" href="#t80">80</a></span><span class="t"> <span class="com"># Determine closure type based on the container type</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t81" href="#t81">81</a></span><span class="t"> <span class="nam">default_closed</span> <span class="op">=</span> <span class="nam">isinstance</span><span class="op">(</span><span class="nam">args</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">,</span> <span class="nam">list</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t82" href="#t82">82</a></span><span class="t"> <span class="key">elif</span> <span class="nam">len</span><span class="op">(</span><span class="nam">args</span><span class="op">)</span> <span class="op">==</span> <span class="num">1</span> <span class="key">and</span> <span class="nam">isinstance</span><span class="op">(</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t83" href="#t83">83</a></span><span class="t"> <span class="nam">args</span><span class="op">[</span><span class="num">0</span><span class="op">]</span><span class="op">,</span> <span class="op">(</span><span class="nam">int</span><span class="op">,</span> <span class="nam">float</span><span class="op">,</span> <span class="nam">typing</span><span class="op">.</span><span class="nam">SupportsFloat</span><span class="op">,</span> <span class="nam">typing</span><span class="op">.</span><span class="nam">SupportsInt</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t84" href="#t84">84</a></span><span class="t"> <span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t85" href="#t85">85</a></span><span class="t"> <span class="com"># a singleton, but this will be handled later</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t86" href="#t86">86</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span> <span class="op">=</span> <span class="nam">args</span><span class="op">[</span><span class="num">0</span><span class="op">]</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t87" href="#t87">87</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span> <span class="op">=</span> <span class="nam">args</span><span class="op">[</span><span class="num">0</span><span class="op">]</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t88" href="#t88">88</a></span><span class="t"> <span class="nam">default_closed</span> <span class="op">=</span> <span class="key">False</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t89" href="#t89">89</a></span><span class="t"> <span class="key">elif</span> <span class="nam">len</span><span class="op">(</span><span class="nam">args</span><span class="op">)</span> <span class="op">==</span> <span class="num">2</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t90" href="#t90">90</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span> <span class="op">=</span> <span class="nam">args</span> <span class="com"># type: ignore[assignment]</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t91" href="#t91">91</a></span><span class="t"> <span class="nam">default_closed</span> <span class="op">=</span> <span class="key">False</span> <span class="com"># Default to open interval if two args</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t92" href="#t92">92</a></span><span class="t"> <span class="key">else</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t93" href="#t93">93</a></span><span class="t"> <span class="key">raise</span> <span class="nam">ValueError</span><span class="op">(</span><span class="fst">f"</span><span class="fst">Invalid input arguments: </span><span class="op">{</span><span class="nam">args</span><span class="op">}</span><span class="fst">"</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t94" href="#t94">94</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t95" href="#t95">95</a></span><span class="t"> <span class="com"># if both of the bounds are NaN or None, return an empty interval</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t96" href="#t96">96</a></span><span class="t"> <span class="key">if</span> <span class="nam">any</span><span class="op">(</span><span class="nam">x</span> <span class="key">is</span> <span class="key">None</span> <span class="key">for</span> <span class="nam">x</span> <span class="key">in</span> <span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">lower</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span><span class="op">)</span><span class="op">)</span> <span class="key">or</span> <span class="nam">any</span><span class="op">(</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t97" href="#t97">97</a></span><span class="t"> <span class="nam">math</span><span class="op">.</span><span class="nam">isnan</span><span class="op">(</span><span class="nam">x</span><span class="op">)</span> <span class="key">for</span> <span class="nam">x</span> <span class="key">in</span> <span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">lower</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t98" href="#t98">98</a></span><span class="t"> <span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t99" href="#t99">99</a></span><span class="t"> <span class="key">if</span> <span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">lower</span> <span class="key">is</span> <span class="key">None</span> <span class="key">and</span> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span> <span class="key">is</span> <span class="key">None</span><span class="op">)</span> <span class="key">or</span> <span class="op">(</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t100" href="#t100">100</a></span><span class="t"> <span class="nam">math</span><span class="op">.</span><span class="nam">isnan</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">lower</span><span class="op">)</span> <span class="key">and</span> <span class="nam">math</span><span class="op">.</span><span class="nam">isnan</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">upper</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t101" href="#t101">101</a></span><span class="t"> <span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t102" href="#t102">102</a></span><span class="t"> <span class="op">(</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t103" href="#t103">103</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t104" href="#t104">104</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t105" href="#t105">105</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_L</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t106" href="#t106">106</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_R</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t107" href="#t107">107</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">singleton_set</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t108" href="#t108">108</a></span><span class="t"> <span class="op">)</span> <span class="op">=</span> <span class="nam">_EMPTY_INTERVAL_ARGS</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t109" href="#t109">109</a></span><span class="t"> <span class="key">return</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t110" href="#t110">110</a></span><span class="t"> <span class="key">else</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t111" href="#t111">111</a></span><span class="t"> <span class="key">raise</span> <span class="nam">ValueError</span><span class="op">(</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t112" href="#t112">112</a></span><span class="t"> <span class="str">"Both bounds must be NaN or None to create an empty interval. Also, just use `Interval.get_empty()` instead."</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t113" href="#t113">113</a></span><span class="t"> <span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t114" href="#t114">114</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t115" href="#t115">115</a></span><span class="t"> <span class="com"># Ensure lower bound is less than upper bound</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t116" href="#t116">116</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span> <span class="op">></span> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t117" href="#t117">117</a></span><span class="t"> <span class="key">raise</span> <span class="nam">ValueError</span><span class="op">(</span><span class="str">"Lower bound must be less than upper bound"</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t118" href="#t118">118</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t119" href="#t119">119</a></span><span class="t"> <span class="key">if</span> <span class="nam">math</span><span class="op">.</span><span class="nam">isnan</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">lower</span><span class="op">)</span> <span class="key">or</span> <span class="nam">math</span><span class="op">.</span><span class="nam">isnan</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">upper</span><span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="mis show_mis"><span class="n"><a id="t120" href="#t120">120</a></span><span class="t"> <span class="key">raise</span> <span class="nam">ValueError</span><span class="op">(</span><span class="str">"NaN is not allowed as an interval bound"</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t121" href="#t121">121</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t122" href="#t122">122</a></span><span class="t"> <span class="com"># Determine closure properties</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t123" href="#t123">123</a></span><span class="t"> <span class="key">if</span> <span class="nam">is_closed</span> <span class="key">is</span> <span class="key">not</span> <span class="key">None</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t124" href="#t124">124</a></span><span class="t"> <span class="com"># can't specify both is_closed and closed_L/R</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t125" href="#t125">125</a></span><span class="t"> <span class="key">if</span> <span class="op">(</span><span class="nam">closed_L</span> <span class="key">is</span> <span class="key">not</span> <span class="key">None</span><span class="op">)</span> <span class="key">or</span> <span class="op">(</span><span class="nam">closed_R</span> <span class="key">is</span> <span class="key">not</span> <span class="key">None</span><span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t126" href="#t126">126</a></span><span class="t"> <span class="key">raise</span> <span class="nam">ValueError</span><span class="op">(</span><span class="str">"Cannot specify both is_closed and closed_L/R"</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t127" href="#t127">127</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_L</span> <span class="op">=</span> <span class="nam">is_closed</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t128" href="#t128">128</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_R</span> <span class="op">=</span> <span class="nam">is_closed</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t129" href="#t129">129</a></span><span class="t"> <span class="key">else</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t130" href="#t130">130</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_L</span> <span class="op">=</span> <span class="nam">closed_L</span> <span class="key">if</span> <span class="nam">closed_L</span> <span class="key">is</span> <span class="key">not</span> <span class="key">None</span> <span class="key">else</span> <span class="nam">default_closed</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t131" href="#t131">131</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_R</span> <span class="op">=</span> <span class="nam">closed_R</span> <span class="key">if</span> <span class="nam">closed_R</span> <span class="key">is</span> <span class="key">not</span> <span class="key">None</span> <span class="key">else</span> <span class="nam">default_closed</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t132" href="#t132">132</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t133" href="#t133">133</a></span><span class="t"> <span class="com"># handle singleton/empty case</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t134" href="#t134">134</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span> <span class="op">==</span> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span> <span class="key">and</span> <span class="key">not</span> <span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">closed_L</span> <span class="key">or</span> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_R</span><span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t135" href="#t135">135</a></span><span class="t"> <span class="op">(</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t136" href="#t136">136</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t137" href="#t137">137</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t138" href="#t138">138</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_L</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t139" href="#t139">139</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_R</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t140" href="#t140">140</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">singleton_set</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t141" href="#t141">141</a></span><span class="t"> <span class="op">)</span> <span class="op">=</span> <span class="nam">_EMPTY_INTERVAL_ARGS</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t142" href="#t142">142</a></span><span class="t"> <span class="key">return</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t143" href="#t143">143</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t144" href="#t144">144</a></span><span class="t"> <span class="key">elif</span> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span> <span class="op">==</span> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span> <span class="key">and</span> <span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">closed_L</span> <span class="key">or</span> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_R</span><span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t145" href="#t145">145</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">singleton_set</span> <span class="op">=</span> <span class="op">{</span><span class="nam">self</span><span class="op">.</span><span class="nam">lower</span><span class="op">}</span> <span class="com"># Singleton interval</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t146" href="#t146">146</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_L</span> <span class="op">=</span> <span class="key">True</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t147" href="#t147">147</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_R</span> <span class="op">=</span> <span class="key">True</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t148" href="#t148">148</a></span><span class="t"> <span class="key">return</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t149" href="#t149">149</a></span><span class="t"> <span class="com"># otherwise `singleton_set` is `None`</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t150" href="#t150">150</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t151" href="#t151">151</a></span><span class="t"> <span class="key">except</span> <span class="op">(</span><span class="nam">AssertionError</span><span class="op">,</span> <span class="nam">ValueError</span><span class="op">)</span> <span class="key">as</span> <span class="nam">e</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t152" href="#t152">152</a></span><span class="t"> <span class="key">raise</span> <span class="nam">ValueError</span><span class="op">(</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t153" href="#t153">153</a></span><span class="t"> <span class="fst">f"</span><span class="fst">Invalid input arguments to Interval: </span><span class="op">{</span><span class="nam">args</span> <span class="op">=</span> <span class="op">}</span><span class="fst">, </span><span class="op">{</span><span class="nam">is_closed</span> <span class="op">=</span> <span class="op">}</span><span class="fst">, </span><span class="op">{</span><span class="nam">closed_L</span> <span class="op">=</span> <span class="op">}</span><span class="fst">, </span><span class="op">{</span><span class="nam">closed_R</span> <span class="op">=</span> <span class="op">}</span><span class="fst">\n</span><span class="op">{</span><span class="nam">e</span><span class="op">}</span><span class="fst">\nUsage:\n</span><span class="op">{</span><span class="nam">self</span><span class="op">.</span><span class="nam">__doc__</span><span class="op">}</span><span class="fst">"</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t154" href="#t154">154</a></span><span class="t"> <span class="op">)</span> <span class="key">from</span> <span class="nam">e</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t155" href="#t155">155</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t156" href="#t156">156</a></span><span class="t"> <span class="op">@</span><span class="nam">property</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t157" href="#t157">157</a></span><span class="t"> <span class="key">def</span> <span class="nam">is_closed</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span> <span class="op">-></span> <span class="nam">bool</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t158" href="#t158">158</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_empty</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t159" href="#t159">159</a></span><span class="t"> <span class="key">return</span> <span class="key">True</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t160" href="#t160">160</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_singleton</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t161" href="#t161">161</a></span><span class="t"> <span class="key">return</span> <span class="key">True</span> </span><span class="r"></span></p>
<p class="mis show_mis"><span class="n"><a id="t162" href="#t162">162</a></span><span class="t"> <span class="key">return</span> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_L</span> <span class="key">and</span> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_R</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t163" href="#t163">163</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t164" href="#t164">164</a></span><span class="t"> <span class="op">@</span><span class="nam">property</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t165" href="#t165">165</a></span><span class="t"> <span class="key">def</span> <span class="nam">is_open</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span> <span class="op">-></span> <span class="nam">bool</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t166" href="#t166">166</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_empty</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t167" href="#t167">167</a></span><span class="t"> <span class="key">return</span> <span class="key">True</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t168" href="#t168">168</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_singleton</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t169" href="#t169">169</a></span><span class="t"> <span class="key">return</span> <span class="key">False</span> </span><span class="r"></span></p>
<p class="mis show_mis"><span class="n"><a id="t170" href="#t170">170</a></span><span class="t"> <span class="key">return</span> <span class="key">not</span> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_L</span> <span class="key">and</span> <span class="key">not</span> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_R</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t171" href="#t171">171</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t172" href="#t172">172</a></span><span class="t"> <span class="op">@</span><span class="nam">property</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t173" href="#t173">173</a></span><span class="t"> <span class="key">def</span> <span class="nam">is_half_open</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span> <span class="op">-></span> <span class="nam">bool</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t174" href="#t174">174</a></span><span class="t"> <span class="key">return</span> <span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">closed_L</span> <span class="key">and</span> <span class="key">not</span> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_R</span><span class="op">)</span> <span class="key">or</span> <span class="op">(</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t175" href="#t175">175</a></span><span class="t"> <span class="key">not</span> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_L</span> <span class="key">and</span> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_R</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t176" href="#t176">176</a></span><span class="t"> <span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t177" href="#t177">177</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t178" href="#t178">178</a></span><span class="t"> <span class="op">@</span><span class="nam">property</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t179" href="#t179">179</a></span><span class="t"> <span class="key">def</span> <span class="nam">is_singleton</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span> <span class="op">-></span> <span class="nam">bool</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t180" href="#t180">180</a></span><span class="t"> <span class="key">return</span> <span class="nam">self</span><span class="op">.</span><span class="nam">singleton_set</span> <span class="key">is</span> <span class="key">not</span> <span class="key">None</span> <span class="key">and</span> <span class="nam">len</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">singleton_set</span><span class="op">)</span> <span class="op">==</span> <span class="num">1</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t181" href="#t181">181</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t182" href="#t182">182</a></span><span class="t"> <span class="op">@</span><span class="nam">property</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t183" href="#t183">183</a></span><span class="t"> <span class="key">def</span> <span class="nam">is_empty</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span> <span class="op">-></span> <span class="nam">bool</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t184" href="#t184">184</a></span><span class="t"> <span class="key">return</span> <span class="nam">self</span><span class="op">.</span><span class="nam">singleton_set</span> <span class="key">is</span> <span class="key">not</span> <span class="key">None</span> <span class="key">and</span> <span class="nam">len</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">singleton_set</span><span class="op">)</span> <span class="op">==</span> <span class="num">0</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t185" href="#t185">185</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t186" href="#t186">186</a></span><span class="t"> <span class="op">@</span><span class="nam">property</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t187" href="#t187">187</a></span><span class="t"> <span class="key">def</span> <span class="nam">is_finite</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span> <span class="op">-></span> <span class="nam">bool</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t188" href="#t188">188</a></span><span class="t"> <span class="key">return</span> <span class="key">not</span> <span class="nam">math</span><span class="op">.</span><span class="nam">isinf</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">lower</span><span class="op">)</span> <span class="key">and</span> <span class="key">not</span> <span class="nam">math</span><span class="op">.</span><span class="nam">isinf</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">upper</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t189" href="#t189">189</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t190" href="#t190">190</a></span><span class="t"> <span class="op">@</span><span class="nam">property</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t191" href="#t191">191</a></span><span class="t"> <span class="key">def</span> <span class="nam">singleton</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span> <span class="op">-></span> <span class="nam">Number</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t192" href="#t192">192</a></span><span class="t"> <span class="key">if</span> <span class="key">not</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_singleton</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t193" href="#t193">193</a></span><span class="t"> <span class="key">raise</span> <span class="nam">ValueError</span><span class="op">(</span><span class="str">"Interval is not a singleton"</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t194" href="#t194">194</a></span><span class="t"> <span class="key">return</span> <span class="nam">next</span><span class="op">(</span><span class="nam">iter</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">singleton_set</span><span class="op">)</span><span class="op">)</span> <span class="com"># type: ignore[arg-type]</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t195" href="#t195">195</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t196" href="#t196">196</a></span><span class="t"> <span class="op">@</span><span class="nam">staticmethod</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t197" href="#t197">197</a></span><span class="t"> <span class="key">def</span> <span class="nam">get_empty</span><span class="op">(</span><span class="op">)</span> <span class="op">-></span> <span class="nam">Interval</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t198" href="#t198">198</a></span><span class="t"> <span class="key">return</span> <span class="nam">Interval</span><span class="op">(</span><span class="nam">math</span><span class="op">.</span><span class="nam">nan</span><span class="op">,</span> <span class="nam">math</span><span class="op">.</span><span class="nam">nan</span><span class="op">,</span> <span class="nam">closed_L</span><span class="op">=</span><span class="key">None</span><span class="op">,</span> <span class="nam">closed_R</span><span class="op">=</span><span class="key">None</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t199" href="#t199">199</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t200" href="#t200">200</a></span><span class="t"> <span class="op">@</span><span class="nam">staticmethod</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t201" href="#t201">201</a></span><span class="t"> <span class="key">def</span> <span class="nam">get_singleton</span><span class="op">(</span><span class="nam">value</span><span class="op">:</span> <span class="nam">Number</span><span class="op">)</span> <span class="op">-></span> <span class="nam">Interval</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t202" href="#t202">202</a></span><span class="t"> <span class="key">if</span> <span class="nam">math</span><span class="op">.</span><span class="nam">isnan</span><span class="op">(</span><span class="nam">value</span><span class="op">)</span> <span class="key">or</span> <span class="nam">value</span> <span class="key">is</span> <span class="key">None</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t203" href="#t203">203</a></span><span class="t"> <span class="key">return</span> <span class="nam">Interval</span><span class="op">.</span><span class="nam">get_empty</span><span class="op">(</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t204" href="#t204">204</a></span><span class="t"> <span class="key">return</span> <span class="nam">Interval</span><span class="op">(</span><span class="nam">value</span><span class="op">,</span> <span class="nam">value</span><span class="op">,</span> <span class="nam">closed_L</span><span class="op">=</span><span class="key">True</span><span class="op">,</span> <span class="nam">closed_R</span><span class="op">=</span><span class="key">True</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t205" href="#t205">205</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t206" href="#t206">206</a></span><span class="t"> <span class="key">def</span> <span class="nam">numerical_contained</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">item</span><span class="op">:</span> <span class="nam">Number</span><span class="op">)</span> <span class="op">-></span> <span class="nam">bool</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t207" href="#t207">207</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_empty</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t208" href="#t208">208</a></span><span class="t"> <span class="key">return</span> <span class="key">False</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t209" href="#t209">209</a></span><span class="t"> <span class="key">if</span> <span class="nam">math</span><span class="op">.</span><span class="nam">isnan</span><span class="op">(</span><span class="nam">item</span><span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t210" href="#t210">210</a></span><span class="t"> <span class="key">raise</span> <span class="nam">ValueError</span><span class="op">(</span><span class="str">"NaN cannot be checked for containment in an interval"</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t211" href="#t211">211</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_singleton</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t212" href="#t212">212</a></span><span class="t"> <span class="key">return</span> <span class="nam">item</span> <span class="key">in</span> <span class="nam">self</span><span class="op">.</span><span class="nam">singleton_set</span> <span class="com"># type: ignore[operator]</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t213" href="#t213">213</a></span><span class="t"> <span class="key">return</span> <span class="op">(</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">closed_L</span> <span class="key">and</span> <span class="nam">item</span> <span class="op">>=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span><span class="op">)</span> <span class="key">or</span> <span class="nam">item</span> <span class="op">></span> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span><span class="op">)</span> <span class="key">and</span> <span class="op">(</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t214" href="#t214">214</a></span><span class="t"> <span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">closed_R</span> <span class="key">and</span> <span class="nam">item</span> <span class="op"><=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span><span class="op">)</span> <span class="key">or</span> <span class="nam">item</span> <span class="op"><</span> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t215" href="#t215">215</a></span><span class="t"> <span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t216" href="#t216">216</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t217" href="#t217">217</a></span><span class="t"> <span class="key">def</span> <span class="nam">interval_contained</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">item</span><span class="op">:</span> <span class="nam">Interval</span><span class="op">)</span> <span class="op">-></span> <span class="nam">bool</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t218" href="#t218">218</a></span><span class="t"> <span class="key">if</span> <span class="nam">item</span><span class="op">.</span><span class="nam">is_empty</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t219" href="#t219">219</a></span><span class="t"> <span class="key">return</span> <span class="key">True</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t220" href="#t220">220</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_empty</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t221" href="#t221">221</a></span><span class="t"> <span class="key">return</span> <span class="key">False</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t222" href="#t222">222</a></span><span class="t"> <span class="key">if</span> <span class="nam">item</span><span class="op">.</span><span class="nam">is_singleton</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t223" href="#t223">223</a></span><span class="t"> <span class="key">return</span> <span class="nam">self</span><span class="op">.</span><span class="nam">numerical_contained</span><span class="op">(</span><span class="nam">item</span><span class="op">.</span><span class="nam">singleton</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t224" href="#t224">224</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_singleton</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t225" href="#t225">225</a></span><span class="t"> <span class="key">if</span> <span class="key">not</span> <span class="nam">item</span><span class="op">.</span><span class="nam">is_singleton</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t226" href="#t226">226</a></span><span class="t"> <span class="key">return</span> <span class="key">False</span> </span><span class="r"></span></p>
<p class="mis show_mis"><span class="n"><a id="t227" href="#t227">227</a></span><span class="t"> <span class="key">return</span> <span class="nam">self</span><span class="op">.</span><span class="nam">singleton</span> <span class="op">==</span> <span class="nam">item</span><span class="op">.</span><span class="nam">singleton</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t228" href="#t228">228</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t229" href="#t229">229</a></span><span class="t"> <span class="nam">lower_contained</span><span class="op">:</span> <span class="nam">bool</span> <span class="op">=</span> <span class="op">(</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t230" href="#t230">230</a></span><span class="t"> <span class="com"># either strictly wider bound</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t231" href="#t231">231</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span> <span class="op"><</span> <span class="nam">item</span><span class="op">.</span><span class="nam">lower</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t232" href="#t232">232</a></span><span class="t"> <span class="com"># if same, then self must be closed if item is open</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t233" href="#t233">233</a></span><span class="t"> <span class="key">or</span> <span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">lower</span> <span class="op">==</span> <span class="nam">item</span><span class="op">.</span><span class="nam">lower</span> <span class="key">and</span> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_L</span> <span class="op">>=</span> <span class="nam">item</span><span class="op">.</span><span class="nam">closed_L</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t234" href="#t234">234</a></span><span class="t"> <span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t235" href="#t235">235</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t236" href="#t236">236</a></span><span class="t"> <span class="nam">upper_contained</span><span class="op">:</span> <span class="nam">bool</span> <span class="op">=</span> <span class="op">(</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t237" href="#t237">237</a></span><span class="t"> <span class="com"># either strictly wider bound</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t238" href="#t238">238</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span> <span class="op">></span> <span class="nam">item</span><span class="op">.</span><span class="nam">upper</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t239" href="#t239">239</a></span><span class="t"> <span class="com"># if same, then self must be closed if item is open</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t240" href="#t240">240</a></span><span class="t"> <span class="key">or</span> <span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">upper</span> <span class="op">==</span> <span class="nam">item</span><span class="op">.</span><span class="nam">upper</span> <span class="key">and</span> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_R</span> <span class="op">>=</span> <span class="nam">item</span><span class="op">.</span><span class="nam">closed_R</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t241" href="#t241">241</a></span><span class="t"> <span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t242" href="#t242">242</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t243" href="#t243">243</a></span><span class="t"> <span class="key">return</span> <span class="nam">lower_contained</span> <span class="key">and</span> <span class="nam">upper_contained</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t244" href="#t244">244</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t245" href="#t245">245</a></span><span class="t"> <span class="key">def</span> <span class="nam">__contains__</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">item</span><span class="op">:</span> <span class="nam">Any</span><span class="op">)</span> <span class="op">-></span> <span class="nam">bool</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t246" href="#t246">246</a></span><span class="t"> <span class="key">if</span> <span class="nam">isinstance</span><span class="op">(</span><span class="nam">item</span><span class="op">,</span> <span class="nam">Interval</span><span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t247" href="#t247">247</a></span><span class="t"> <span class="key">return</span> <span class="nam">self</span><span class="op">.</span><span class="nam">interval_contained</span><span class="op">(</span><span class="nam">item</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t248" href="#t248">248</a></span><span class="t"> <span class="key">else</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t249" href="#t249">249</a></span><span class="t"> <span class="key">return</span> <span class="nam">self</span><span class="op">.</span><span class="nam">numerical_contained</span><span class="op">(</span><span class="nam">item</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t250" href="#t250">250</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t251" href="#t251">251</a></span><span class="t"> <span class="key">def</span> <span class="nam">__repr__</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span> <span class="op">-></span> <span class="nam">str</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t252" href="#t252">252</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_empty</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t253" href="#t253">253</a></span><span class="t"> <span class="key">return</span> <span class="str">r"∅"</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t254" href="#t254">254</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_singleton</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t255" href="#t255">255</a></span><span class="t"> <span class="key">return</span> <span class="str">"{"</span> <span class="op">+</span> <span class="nam">str</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">singleton</span><span class="op">)</span> <span class="op">+</span> <span class="str">"}"</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t256" href="#t256">256</a></span><span class="t"> <span class="nam">left</span><span class="op">:</span> <span class="nam">str</span> <span class="op">=</span> <span class="str">"["</span> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_L</span> <span class="key">else</span> <span class="str">"("</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t257" href="#t257">257</a></span><span class="t"> <span class="nam">right</span><span class="op">:</span> <span class="nam">str</span> <span class="op">=</span> <span class="str">"]"</span> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_R</span> <span class="key">else</span> <span class="str">")"</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t258" href="#t258">258</a></span><span class="t"> <span class="key">return</span> <span class="fst">f"</span><span class="op">{</span><span class="nam">left</span><span class="op">}</span><span class="op">{</span><span class="nam">self</span><span class="op">.</span><span class="nam">lower</span><span class="op">}</span><span class="fst">, </span><span class="op">{</span><span class="nam">self</span><span class="op">.</span><span class="nam">upper</span><span class="op">}</span><span class="op">{</span><span class="nam">right</span><span class="op">}</span><span class="fst">"</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t259" href="#t259">259</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t260" href="#t260">260</a></span><span class="t"> <span class="key">def</span> <span class="nam">__str__</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span> <span class="op">-></span> <span class="nam">str</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t261" href="#t261">261</a></span><span class="t"> <span class="key">return</span> <span class="nam">repr</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t262" href="#t262">262</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t263" href="#t263">263</a></span><span class="t"> <span class="op">@</span><span class="nam">classmethod</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t264" href="#t264">264</a></span><span class="t"> <span class="key">def</span> <span class="nam">from_str</span><span class="op">(</span><span class="nam">cls</span><span class="op">,</span> <span class="nam">input_str</span><span class="op">:</span> <span class="nam">str</span><span class="op">)</span> <span class="op">-></span> <span class="nam">Interval</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t265" href="#t265">265</a></span><span class="t"> <span class="nam">input_str</span> <span class="op">=</span> <span class="nam">input_str</span><span class="op">.</span><span class="nam">strip</span><span class="op">(</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t266" href="#t266">266</a></span><span class="t"> <span class="com"># empty and singleton</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t267" href="#t267">267</a></span><span class="t"> <span class="key">if</span> <span class="nam">input_str</span><span class="op">.</span><span class="nam">count</span><span class="op">(</span><span class="str">","</span><span class="op">)</span> <span class="op">==</span> <span class="num">0</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t268" href="#t268">268</a></span><span class="t"> <span class="com"># empty set</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t269" href="#t269">269</a></span><span class="t"> <span class="key">if</span> <span class="nam">input_str</span> <span class="op">==</span> <span class="str">"∅"</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t270" href="#t270">270</a></span><span class="t"> <span class="key">return</span> <span class="nam">cls</span><span class="op">.</span><span class="nam">get_empty</span><span class="op">(</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t271" href="#t271">271</a></span><span class="t"> <span class="key">assert</span> <span class="nam">input_str</span><span class="op">.</span><span class="nam">startswith</span><span class="op">(</span><span class="str">"{"</span><span class="op">)</span> <span class="key">and</span> <span class="nam">input_str</span><span class="op">.</span><span class="nam">endswith</span><span class="op">(</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t272" href="#t272">272</a></span><span class="t"> <span class="str">"}"</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t273" href="#t273">273</a></span><span class="t"> <span class="op">)</span><span class="op">,</span> <span class="str">"Invalid input string"</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t274" href="#t274">274</a></span><span class="t"> <span class="nam">input_str_set_interior</span><span class="op">:</span> <span class="nam">str</span> <span class="op">=</span> <span class="nam">input_str</span><span class="op">.</span><span class="nam">strip</span><span class="op">(</span><span class="str">"{}"</span><span class="op">)</span><span class="op">.</span><span class="nam">strip</span><span class="op">(</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t275" href="#t275">275</a></span><span class="t"> <span class="key">if</span> <span class="nam">len</span><span class="op">(</span><span class="nam">input_str_set_interior</span><span class="op">)</span> <span class="op">==</span> <span class="num">0</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t276" href="#t276">276</a></span><span class="t"> <span class="key">return</span> <span class="nam">cls</span><span class="op">.</span><span class="nam">get_empty</span><span class="op">(</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t277" href="#t277">277</a></span><span class="t"> <span class="com"># singleton set</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t278" href="#t278">278</a></span><span class="t"> <span class="key">return</span> <span class="nam">cls</span><span class="op">.</span><span class="nam">get_singleton</span><span class="op">(</span><span class="nam">str_to_numeric</span><span class="op">(</span><span class="nam">input_str_set_interior</span><span class="op">)</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t279" href="#t279">279</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t280" href="#t280">280</a></span><span class="t"> <span class="com"># expect commas</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t281" href="#t281">281</a></span><span class="t"> <span class="key">if</span> <span class="key">not</span> <span class="nam">input_str</span><span class="op">.</span><span class="nam">count</span><span class="op">(</span><span class="str">","</span><span class="op">)</span> <span class="op">==</span> <span class="num">1</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t282" href="#t282">282</a></span><span class="t"> <span class="key">raise</span> <span class="nam">ValueError</span><span class="op">(</span><span class="str">"Invalid input string"</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t283" href="#t283">283</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t284" href="#t284">284</a></span><span class="t"> <span class="com"># get bounds</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t285" href="#t285">285</a></span><span class="t"> <span class="nam">lower</span><span class="op">:</span> <span class="nam">str</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t286" href="#t286">286</a></span><span class="t"> <span class="nam">upper</span><span class="op">:</span> <span class="nam">str</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t287" href="#t287">287</a></span><span class="t"> <span class="nam">lower</span><span class="op">,</span> <span class="nam">upper</span> <span class="op">=</span> <span class="nam">input_str</span><span class="op">.</span><span class="nam">strip</span><span class="op">(</span><span class="str">"[]()"</span><span class="op">)</span><span class="op">.</span><span class="nam">split</span><span class="op">(</span><span class="str">","</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t288" href="#t288">288</a></span><span class="t"> <span class="nam">lower</span> <span class="op">=</span> <span class="nam">lower</span><span class="op">.</span><span class="nam">strip</span><span class="op">(</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t289" href="#t289">289</a></span><span class="t"> <span class="nam">upper</span> <span class="op">=</span> <span class="nam">upper</span><span class="op">.</span><span class="nam">strip</span><span class="op">(</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t290" href="#t290">290</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t291" href="#t291">291</a></span><span class="t"> <span class="nam">lower_num</span><span class="op">:</span> <span class="nam">Number</span> <span class="op">=</span> <span class="nam">str_to_numeric</span><span class="op">(</span><span class="nam">lower</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t292" href="#t292">292</a></span><span class="t"> <span class="nam">upper_num</span><span class="op">:</span> <span class="nam">Number</span> <span class="op">=</span> <span class="nam">str_to_numeric</span><span class="op">(</span><span class="nam">upper</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t293" href="#t293">293</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t294" href="#t294">294</a></span><span class="t"> <span class="com"># figure out closure</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t295" href="#t295">295</a></span><span class="t"> <span class="nam">closed_L</span><span class="op">:</span> <span class="nam">bool</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t296" href="#t296">296</a></span><span class="t"> <span class="nam">closed_R</span><span class="op">:</span> <span class="nam">bool</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t297" href="#t297">297</a></span><span class="t"> <span class="key">if</span> <span class="nam">input_str</span><span class="op">[</span><span class="num">0</span><span class="op">]</span> <span class="op">==</span> <span class="str">"["</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t298" href="#t298">298</a></span><span class="t"> <span class="nam">closed_L</span> <span class="op">=</span> <span class="key">True</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t299" href="#t299">299</a></span><span class="t"> <span class="key">elif</span> <span class="nam">input_str</span><span class="op">[</span><span class="num">0</span><span class="op">]</span> <span class="op">==</span> <span class="str">"("</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t300" href="#t300">300</a></span><span class="t"> <span class="nam">closed_L</span> <span class="op">=</span> <span class="key">False</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t301" href="#t301">301</a></span><span class="t"> <span class="key">else</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t302" href="#t302">302</a></span><span class="t"> <span class="key">raise</span> <span class="nam">ValueError</span><span class="op">(</span><span class="str">"Invalid input string"</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t303" href="#t303">303</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t304" href="#t304">304</a></span><span class="t"> <span class="key">if</span> <span class="nam">input_str</span><span class="op">[</span><span class="op">-</span><span class="num">1</span><span class="op">]</span> <span class="op">==</span> <span class="str">"]"</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t305" href="#t305">305</a></span><span class="t"> <span class="nam">closed_R</span> <span class="op">=</span> <span class="key">True</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t306" href="#t306">306</a></span><span class="t"> <span class="key">elif</span> <span class="nam">input_str</span><span class="op">[</span><span class="op">-</span><span class="num">1</span><span class="op">]</span> <span class="op">==</span> <span class="str">")"</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t307" href="#t307">307</a></span><span class="t"> <span class="nam">closed_R</span> <span class="op">=</span> <span class="key">False</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t308" href="#t308">308</a></span><span class="t"> <span class="key">else</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="mis show_mis"><span class="n"><a id="t309" href="#t309">309</a></span><span class="t"> <span class="key">raise</span> <span class="nam">ValueError</span><span class="op">(</span><span class="str">"Invalid input string"</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t310" href="#t310">310</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t311" href="#t311">311</a></span><span class="t"> <span class="key">return</span> <span class="nam">cls</span><span class="op">(</span><span class="nam">lower_num</span><span class="op">,</span> <span class="nam">upper_num</span><span class="op">,</span> <span class="nam">closed_L</span><span class="op">=</span><span class="nam">closed_L</span><span class="op">,</span> <span class="nam">closed_R</span><span class="op">=</span><span class="nam">closed_R</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t312" href="#t312">312</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t313" href="#t313">313</a></span><span class="t"> <span class="key">def</span> <span class="nam">__eq__</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">other</span><span class="op">:</span> <span class="nam">object</span><span class="op">)</span> <span class="op">-></span> <span class="nam">bool</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t314" href="#t314">314</a></span><span class="t"> <span class="key">if</span> <span class="key">not</span> <span class="nam">isinstance</span><span class="op">(</span><span class="nam">other</span><span class="op">,</span> <span class="nam">Interval</span><span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t315" href="#t315">315</a></span><span class="t"> <span class="key">return</span> <span class="key">False</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t316" href="#t316">316</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_empty</span> <span class="key">and</span> <span class="nam">other</span><span class="op">.</span><span class="nam">is_empty</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t317" href="#t317">317</a></span><span class="t"> <span class="key">return</span> <span class="key">True</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t318" href="#t318">318</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_singleton</span> <span class="key">and</span> <span class="nam">other</span><span class="op">.</span><span class="nam">is_singleton</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t319" href="#t319">319</a></span><span class="t"> <span class="key">return</span> <span class="nam">self</span><span class="op">.</span><span class="nam">singleton</span> <span class="op">==</span> <span class="nam">other</span><span class="op">.</span><span class="nam">singleton</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t320" href="#t320">320</a></span><span class="t"> <span class="key">return</span> <span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">lower</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_L</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_R</span><span class="op">)</span> <span class="op">==</span> <span class="op">(</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t321" href="#t321">321</a></span><span class="t"> <span class="nam">other</span><span class="op">.</span><span class="nam">lower</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t322" href="#t322">322</a></span><span class="t"> <span class="nam">other</span><span class="op">.</span><span class="nam">upper</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t323" href="#t323">323</a></span><span class="t"> <span class="nam">other</span><span class="op">.</span><span class="nam">closed_L</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t324" href="#t324">324</a></span><span class="t"> <span class="nam">other</span><span class="op">.</span><span class="nam">closed_R</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t325" href="#t325">325</a></span><span class="t"> <span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t326" href="#t326">326</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t327" href="#t327">327</a></span><span class="t"> <span class="key">def</span> <span class="nam">__iter__</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t328" href="#t328">328</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_empty</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t329" href="#t329">329</a></span><span class="t"> <span class="key">return</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t330" href="#t330">330</a></span><span class="t"> <span class="key">elif</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_singleton</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t331" href="#t331">331</a></span><span class="t"> <span class="key">yield</span> <span class="nam">self</span><span class="op">.</span><span class="nam">singleton</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t332" href="#t332">332</a></span><span class="t"> <span class="key">return</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t333" href="#t333">333</a></span><span class="t"> <span class="key">else</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t334" href="#t334">334</a></span><span class="t"> <span class="key">yield</span> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t335" href="#t335">335</a></span><span class="t"> <span class="key">yield</span> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t336" href="#t336">336</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t337" href="#t337">337</a></span><span class="t"> <span class="key">def</span> <span class="nam">__getitem__</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">index</span><span class="op">:</span> <span class="nam">int</span><span class="op">)</span> <span class="op">-></span> <span class="nam">float</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t338" href="#t338">338</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_empty</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t339" href="#t339">339</a></span><span class="t"> <span class="key">raise</span> <span class="nam">IndexError</span><span class="op">(</span><span class="str">"Empty interval has no bounds"</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t340" href="#t340">340</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_singleton</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t341" href="#t341">341</a></span><span class="t"> <span class="key">if</span> <span class="nam">index</span> <span class="op">==</span> <span class="num">0</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t342" href="#t342">342</a></span><span class="t"> <span class="key">return</span> <span class="nam">self</span><span class="op">.</span><span class="nam">singleton</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t343" href="#t343">343</a></span><span class="t"> <span class="key">else</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t344" href="#t344">344</a></span><span class="t"> <span class="key">raise</span> <span class="nam">IndexError</span><span class="op">(</span><span class="str">"Singleton interval has only one bound"</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t345" href="#t345">345</a></span><span class="t"> <span class="key">if</span> <span class="nam">index</span> <span class="op">==</span> <span class="num">0</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t346" href="#t346">346</a></span><span class="t"> <span class="key">return</span> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t347" href="#t347">347</a></span><span class="t"> <span class="key">elif</span> <span class="nam">index</span> <span class="op">==</span> <span class="num">1</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t348" href="#t348">348</a></span><span class="t"> <span class="key">return</span> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t349" href="#t349">349</a></span><span class="t"> <span class="key">else</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t350" href="#t350">350</a></span><span class="t"> <span class="key">raise</span> <span class="nam">IndexError</span><span class="op">(</span><span class="str">"Interval index out of range"</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t351" href="#t351">351</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t352" href="#t352">352</a></span><span class="t"> <span class="key">def</span> <span class="nam">__len__</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span> <span class="op">-></span> <span class="nam">int</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t353" href="#t353">353</a></span><span class="t"> <span class="key">return</span> <span class="num">0</span> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_empty</span> <span class="key">else</span> <span class="num">1</span> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_singleton</span> <span class="key">else</span> <span class="num">2</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t354" href="#t354">354</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t355" href="#t355">355</a></span><span class="t"> <span class="key">def</span> <span class="nam">copy</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span> <span class="op">-></span> <span class="nam">Interval</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t356" href="#t356">356</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_empty</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t357" href="#t357">357</a></span><span class="t"> <span class="key">return</span> <span class="nam">Interval</span><span class="op">.</span><span class="nam">get_empty</span><span class="op">(</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t358" href="#t358">358</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_singleton</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t359" href="#t359">359</a></span><span class="t"> <span class="key">return</span> <span class="nam">Interval</span><span class="op">.</span><span class="nam">get_singleton</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">singleton</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t360" href="#t360">360</a></span><span class="t"> <span class="key">return</span> <span class="nam">Interval</span><span class="op">(</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t361" href="#t361">361</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span><span class="op">,</span> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span><span class="op">,</span> <span class="nam">closed_L</span><span class="op">=</span><span class="nam">self</span><span class="op">.</span><span class="nam">closed_L</span><span class="op">,</span> <span class="nam">closed_R</span><span class="op">=</span><span class="nam">self</span><span class="op">.</span><span class="nam">closed_R</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t362" href="#t362">362</a></span><span class="t"> <span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t363" href="#t363">363</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t364" href="#t364">364</a></span><span class="t"> <span class="key">def</span> <span class="nam">size</span><span class="op">(</span><span class="nam">self</span><span class="op">)</span> <span class="op">-></span> <span class="nam">float</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t365" href="#t365">365</a></span><span class="t"> <span class="str">"""</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t366" href="#t366">366</a></span><span class="t"><span class="str"> Returns the size of the interval.</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t367" href="#t367">367</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t368" href="#t368">368</a></span><span class="t"><span class="str"> # Returns:</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t369" href="#t369">369</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t370" href="#t370">370</a></span><span class="t"><span class="str"> - `float`</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t371" href="#t371">371</a></span><span class="t"><span class="str"> the size of the interval</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t372" href="#t372">372</a></span><span class="t"><span class="str"> """</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t373" href="#t373">373</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_empty</span> <span class="key">or</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_singleton</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t374" href="#t374">374</a></span><span class="t"> <span class="key">return</span> <span class="num">0</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t375" href="#t375">375</a></span><span class="t"> <span class="key">else</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t376" href="#t376">376</a></span><span class="t"> <span class="key">return</span> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span> <span class="op">-</span> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t377" href="#t377">377</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t378" href="#t378">378</a></span><span class="t"> <span class="key">def</span> <span class="nam">clamp</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">value</span><span class="op">:</span> <span class="nam">Union</span><span class="op">[</span><span class="nam">int</span><span class="op">,</span> <span class="nam">float</span><span class="op">]</span><span class="op">,</span> <span class="nam">epsilon</span><span class="op">:</span> <span class="nam">float</span> <span class="op">=</span> <span class="nam">_EPSILON</span><span class="op">)</span> <span class="op">-></span> <span class="nam">float</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t379" href="#t379">379</a></span><span class="t"> <span class="str">"""</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t380" href="#t380">380</a></span><span class="t"><span class="str"> Clamp the given value to the interval bounds.</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t381" href="#t381">381</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t382" href="#t382">382</a></span><span class="t"><span class="str"> For open bounds, the clamped value will be slightly inside the interval (by epsilon).</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t383" href="#t383">383</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t384" href="#t384">384</a></span><span class="t"><span class="str"> # Parameters:</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t385" href="#t385">385</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t386" href="#t386">386</a></span><span class="t"><span class="str"> - `value : Union[int, float]`</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t387" href="#t387">387</a></span><span class="t"><span class="str"> the value to clamp.</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t388" href="#t388">388</a></span><span class="t"><span class="str"> - `epsilon : float`</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t389" href="#t389">389</a></span><span class="t"><span class="str"> margin for open bounds</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t390" href="#t390">390</a></span><span class="t"><span class="str"> (defaults to `_EPSILON`)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t391" href="#t391">391</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t392" href="#t392">392</a></span><span class="t"><span class="str"> # Returns:</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t393" href="#t393">393</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t394" href="#t394">394</a></span><span class="t"><span class="str"> - `float`</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t395" href="#t395">395</a></span><span class="t"><span class="str"> the clamped value</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t396" href="#t396">396</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t397" href="#t397">397</a></span><span class="t"><span class="str"> # Raises:</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t398" href="#t398">398</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t399" href="#t399">399</a></span><span class="t"><span class="str"> - `ValueError` : If the input value is NaN.</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t400" href="#t400">400</a></span><span class="t"><span class="str"> """</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t401" href="#t401">401</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t402" href="#t402">402</a></span><span class="t"> <span class="key">if</span> <span class="nam">math</span><span class="op">.</span><span class="nam">isnan</span><span class="op">(</span><span class="nam">value</span><span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t403" href="#t403">403</a></span><span class="t"> <span class="key">raise</span> <span class="nam">ValueError</span><span class="op">(</span><span class="str">"Cannot clamp NaN value"</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t404" href="#t404">404</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t405" href="#t405">405</a></span><span class="t"> <span class="key">if</span> <span class="nam">math</span><span class="op">.</span><span class="nam">isnan</span><span class="op">(</span><span class="nam">epsilon</span><span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t406" href="#t406">406</a></span><span class="t"> <span class="key">raise</span> <span class="nam">ValueError</span><span class="op">(</span><span class="str">"Epsilon cannot be NaN"</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t407" href="#t407">407</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t408" href="#t408">408</a></span><span class="t"> <span class="key">if</span> <span class="nam">epsilon</span> <span class="op"><</span> <span class="num">0</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t409" href="#t409">409</a></span><span class="t"> <span class="key">raise</span> <span class="nam">ValueError</span><span class="op">(</span><span class="fst">f"</span><span class="fst">Epsilon must be non-negative: </span><span class="op">{</span><span class="nam">epsilon</span> <span class="op">=</span> <span class="op">}</span><span class="fst">"</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t410" href="#t410">410</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t411" href="#t411">411</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_empty</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t412" href="#t412">412</a></span><span class="t"> <span class="key">raise</span> <span class="nam">ValueError</span><span class="op">(</span><span class="str">"Cannot clamp to an empty interval"</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t413" href="#t413">413</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t414" href="#t414">414</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_singleton</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t415" href="#t415">415</a></span><span class="t"> <span class="key">return</span> <span class="nam">self</span><span class="op">.</span><span class="nam">singleton</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t416" href="#t416">416</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t417" href="#t417">417</a></span><span class="t"> <span class="key">if</span> <span class="nam">epsilon</span> <span class="op">></span> <span class="nam">self</span><span class="op">.</span><span class="nam">size</span><span class="op">(</span><span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t418" href="#t418">418</a></span><span class="t"> <span class="key">raise</span> <span class="nam">ValueError</span><span class="op">(</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t419" href="#t419">419</a></span><span class="t"> <span class="fst">f"</span><span class="fst">epsilon is greater than the size of the interval: </span><span class="op">{</span><span class="nam">epsilon</span> <span class="op">=</span> <span class="op">}</span><span class="fst">, </span><span class="op">{</span><span class="nam">self</span><span class="op">.</span><span class="nam">size</span><span class="op">(</span><span class="op">)</span> <span class="op">=</span> <span class="op">}</span><span class="fst">, </span><span class="op">{</span><span class="nam">self</span> <span class="op">=</span> <span class="op">}</span><span class="fst">"</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t420" href="#t420">420</a></span><span class="t"> <span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t421" href="#t421">421</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t422" href="#t422">422</a></span><span class="t"> <span class="com"># make type work with decimals and stuff</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t423" href="#t423">423</a></span><span class="t"> <span class="key">if</span> <span class="key">not</span> <span class="nam">isinstance</span><span class="op">(</span><span class="nam">value</span><span class="op">,</span> <span class="op">(</span><span class="nam">int</span><span class="op">,</span> <span class="nam">float</span><span class="op">)</span><span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t424" href="#t424">424</a></span><span class="t"> <span class="nam">epsilon</span> <span class="op">=</span> <span class="nam">value</span><span class="op">.</span><span class="nam">__class__</span><span class="op">(</span><span class="nam">epsilon</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t425" href="#t425">425</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t426" href="#t426">426</a></span><span class="t"> <span class="nam">clamped_min</span><span class="op">:</span> <span class="nam">Number</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t427" href="#t427">427</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_L</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t428" href="#t428">428</a></span><span class="t"> <span class="nam">clamped_min</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t429" href="#t429">429</a></span><span class="t"> <span class="key">else</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t430" href="#t430">430</a></span><span class="t"> <span class="nam">clamped_min</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span> <span class="op">+</span> <span class="nam">epsilon</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t431" href="#t431">431</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t432" href="#t432">432</a></span><span class="t"> <span class="nam">clamped_max</span><span class="op">:</span> <span class="nam">Number</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t433" href="#t433">433</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_R</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t434" href="#t434">434</a></span><span class="t"> <span class="nam">clamped_max</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t435" href="#t435">435</a></span><span class="t"> <span class="key">else</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t436" href="#t436">436</a></span><span class="t"> <span class="nam">clamped_max</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span> <span class="op">-</span> <span class="nam">epsilon</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t437" href="#t437">437</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t438" href="#t438">438</a></span><span class="t"> <span class="key">return</span> <span class="nam">max</span><span class="op">(</span><span class="nam">clamped_min</span><span class="op">,</span> <span class="nam">min</span><span class="op">(</span><span class="nam">value</span><span class="op">,</span> <span class="nam">clamped_max</span><span class="op">)</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t439" href="#t439">439</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t440" href="#t440">440</a></span><span class="t"> <span class="key">def</span> <span class="nam">intersection</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">other</span><span class="op">:</span> <span class="nam">Interval</span><span class="op">)</span> <span class="op">-></span> <span class="nam">Optional</span><span class="op">[</span><span class="nam">Interval</span><span class="op">]</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t441" href="#t441">441</a></span><span class="t"> <span class="key">if</span> <span class="key">not</span> <span class="nam">isinstance</span><span class="op">(</span><span class="nam">other</span><span class="op">,</span> <span class="nam">Interval</span><span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t442" href="#t442">442</a></span><span class="t"> <span class="key">raise</span> <span class="nam">TypeError</span><span class="op">(</span><span class="str">"Can only intersect with another Interval"</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t443" href="#t443">443</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t444" href="#t444">444</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_empty</span> <span class="key">or</span> <span class="nam">other</span><span class="op">.</span><span class="nam">is_empty</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t445" href="#t445">445</a></span><span class="t"> <span class="key">return</span> <span class="nam">Interval</span><span class="op">.</span><span class="nam">get_empty</span><span class="op">(</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t446" href="#t446">446</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t447" href="#t447">447</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_singleton</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t448" href="#t448">448</a></span><span class="t"> <span class="key">if</span> <span class="nam">other</span><span class="op">.</span><span class="nam">numerical_contained</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">singleton</span><span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t449" href="#t449">449</a></span><span class="t"> <span class="key">return</span> <span class="nam">self</span><span class="op">.</span><span class="nam">copy</span><span class="op">(</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t450" href="#t450">450</a></span><span class="t"> <span class="key">else</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t451" href="#t451">451</a></span><span class="t"> <span class="key">return</span> <span class="nam">Interval</span><span class="op">.</span><span class="nam">get_empty</span><span class="op">(</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t452" href="#t452">452</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t453" href="#t453">453</a></span><span class="t"> <span class="key">if</span> <span class="nam">other</span><span class="op">.</span><span class="nam">is_singleton</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t454" href="#t454">454</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">numerical_contained</span><span class="op">(</span><span class="nam">other</span><span class="op">.</span><span class="nam">singleton</span><span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t455" href="#t455">455</a></span><span class="t"> <span class="key">return</span> <span class="nam">other</span><span class="op">.</span><span class="nam">copy</span><span class="op">(</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t456" href="#t456">456</a></span><span class="t"> <span class="key">else</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="mis show_mis"><span class="n"><a id="t457" href="#t457">457</a></span><span class="t"> <span class="key">return</span> <span class="nam">Interval</span><span class="op">.</span><span class="nam">get_empty</span><span class="op">(</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t458" href="#t458">458</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t459" href="#t459">459</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span> <span class="op"><</span> <span class="nam">other</span><span class="op">.</span><span class="nam">lower</span> <span class="key">or</span> <span class="nam">other</span><span class="op">.</span><span class="nam">upper</span> <span class="op"><</span> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t460" href="#t460">460</a></span><span class="t"> <span class="key">return</span> <span class="nam">Interval</span><span class="op">.</span><span class="nam">get_empty</span><span class="op">(</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t461" href="#t461">461</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t462" href="#t462">462</a></span><span class="t"> <span class="nam">lower</span><span class="op">:</span> <span class="nam">Number</span> <span class="op">=</span> <span class="nam">max</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">lower</span><span class="op">,</span> <span class="nam">other</span><span class="op">.</span><span class="nam">lower</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t463" href="#t463">463</a></span><span class="t"> <span class="nam">upper</span><span class="op">:</span> <span class="nam">Number</span> <span class="op">=</span> <span class="nam">min</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">upper</span><span class="op">,</span> <span class="nam">other</span><span class="op">.</span><span class="nam">upper</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t464" href="#t464">464</a></span><span class="t"> <span class="nam">closed_L</span><span class="op">:</span> <span class="nam">bool</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_L</span> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span> <span class="op">></span> <span class="nam">other</span><span class="op">.</span><span class="nam">lower</span> <span class="key">else</span> <span class="nam">other</span><span class="op">.</span><span class="nam">closed_L</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t465" href="#t465">465</a></span><span class="t"> <span class="nam">closed_R</span><span class="op">:</span> <span class="nam">bool</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_R</span> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span> <span class="op"><</span> <span class="nam">other</span><span class="op">.</span><span class="nam">upper</span> <span class="key">else</span> <span class="nam">other</span><span class="op">.</span><span class="nam">closed_R</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t466" href="#t466">466</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t467" href="#t467">467</a></span><span class="t"> <span class="key">return</span> <span class="nam">Interval</span><span class="op">(</span><span class="nam">lower</span><span class="op">,</span> <span class="nam">upper</span><span class="op">,</span> <span class="nam">closed_L</span><span class="op">=</span><span class="nam">closed_L</span><span class="op">,</span> <span class="nam">closed_R</span><span class="op">=</span><span class="nam">closed_R</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t468" href="#t468">468</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t469" href="#t469">469</a></span><span class="t"> <span class="key">def</span> <span class="nam">union</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="nam">other</span><span class="op">:</span> <span class="nam">Interval</span><span class="op">)</span> <span class="op">-></span> <span class="nam">Interval</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t470" href="#t470">470</a></span><span class="t"> <span class="key">if</span> <span class="key">not</span> <span class="nam">isinstance</span><span class="op">(</span><span class="nam">other</span><span class="op">,</span> <span class="nam">Interval</span><span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t471" href="#t471">471</a></span><span class="t"> <span class="key">raise</span> <span class="nam">TypeError</span><span class="op">(</span><span class="str">"Can only union with another Interval"</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t472" href="#t472">472</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t473" href="#t473">473</a></span><span class="t"> <span class="com"># empty set case</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t474" href="#t474">474</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_empty</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t475" href="#t475">475</a></span><span class="t"> <span class="key">return</span> <span class="nam">other</span><span class="op">.</span><span class="nam">copy</span><span class="op">(</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t476" href="#t476">476</a></span><span class="t"> <span class="key">if</span> <span class="nam">other</span><span class="op">.</span><span class="nam">is_empty</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t477" href="#t477">477</a></span><span class="t"> <span class="key">return</span> <span class="nam">self</span><span class="op">.</span><span class="nam">copy</span><span class="op">(</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t478" href="#t478">478</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t479" href="#t479">479</a></span><span class="t"> <span class="com"># special case where the intersection is empty but the intervals are contiguous</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t480" href="#t480">480</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span> <span class="op">==</span> <span class="nam">other</span><span class="op">.</span><span class="nam">lower</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t481" href="#t481">481</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_R</span> <span class="key">or</span> <span class="nam">other</span><span class="op">.</span><span class="nam">closed_L</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t482" href="#t482">482</a></span><span class="t"> <span class="key">return</span> <span class="nam">Interval</span><span class="op">(</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t483" href="#t483">483</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t484" href="#t484">484</a></span><span class="t"> <span class="nam">other</span><span class="op">.</span><span class="nam">upper</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t485" href="#t485">485</a></span><span class="t"> <span class="nam">closed_L</span><span class="op">=</span><span class="nam">self</span><span class="op">.</span><span class="nam">closed_L</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t486" href="#t486">486</a></span><span class="t"> <span class="nam">closed_R</span><span class="op">=</span><span class="nam">other</span><span class="op">.</span><span class="nam">closed_R</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t487" href="#t487">487</a></span><span class="t"> <span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t488" href="#t488">488</a></span><span class="t"> <span class="key">elif</span> <span class="nam">other</span><span class="op">.</span><span class="nam">upper</span> <span class="op">==</span> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t489" href="#t489">489</a></span><span class="t"> <span class="key">if</span> <span class="nam">other</span><span class="op">.</span><span class="nam">closed_R</span> <span class="key">or</span> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_L</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t490" href="#t490">490</a></span><span class="t"> <span class="key">return</span> <span class="nam">Interval</span><span class="op">(</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t491" href="#t491">491</a></span><span class="t"> <span class="nam">other</span><span class="op">.</span><span class="nam">lower</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t492" href="#t492">492</a></span><span class="t"> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t493" href="#t493">493</a></span><span class="t"> <span class="nam">closed_L</span><span class="op">=</span><span class="nam">other</span><span class="op">.</span><span class="nam">closed_L</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t494" href="#t494">494</a></span><span class="t"> <span class="nam">closed_R</span><span class="op">=</span><span class="nam">self</span><span class="op">.</span><span class="nam">closed_R</span><span class="op">,</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t495" href="#t495">495</a></span><span class="t"> <span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t496" href="#t496">496</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t497" href="#t497">497</a></span><span class="t"> <span class="com"># non-intersecting nonempty and non-contiguous intervals</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t498" href="#t498">498</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">intersection</span><span class="op">(</span><span class="nam">other</span><span class="op">)</span> <span class="op">==</span> <span class="nam">Interval</span><span class="op">.</span><span class="nam">get_empty</span><span class="op">(</span><span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t499" href="#t499">499</a></span><span class="t"> <span class="key">raise</span> <span class="nam">NotImplementedError</span><span class="op">(</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t500" href="#t500">500</a></span><span class="t"> <span class="str">"Union of non-intersecting nonempty non-contiguous intervals is not implemented "</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t501" href="#t501">501</a></span><span class="t"> <span class="op">+</span> <span class="fst">f"</span><span class="op">{</span><span class="nam">self</span> <span class="op">=</span> <span class="op">}</span><span class="fst">, </span><span class="op">{</span><span class="nam">other</span> <span class="op">=</span> <span class="op">}</span><span class="fst">, </span><span class="op">{</span><span class="nam">self</span><span class="op">.</span><span class="nam">intersection</span><span class="op">(</span><span class="nam">other</span><span class="op">)</span> <span class="op">=</span> <span class="op">}</span><span class="fst">"</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t502" href="#t502">502</a></span><span class="t"> <span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t503" href="#t503">503</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t504" href="#t504">504</a></span><span class="t"> <span class="com"># singleton case</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t505" href="#t505">505</a></span><span class="t"> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">is_singleton</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t506" href="#t506">506</a></span><span class="t"> <span class="key">return</span> <span class="nam">other</span><span class="op">.</span><span class="nam">copy</span><span class="op">(</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t507" href="#t507">507</a></span><span class="t"> <span class="key">if</span> <span class="nam">other</span><span class="op">.</span><span class="nam">is_singleton</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t508" href="#t508">508</a></span><span class="t"> <span class="key">return</span> <span class="nam">self</span><span class="op">.</span><span class="nam">copy</span><span class="op">(</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t509" href="#t509">509</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t510" href="#t510">510</a></span><span class="t"> <span class="com"># regular case</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t511" href="#t511">511</a></span><span class="t"> <span class="nam">lower</span><span class="op">:</span> <span class="nam">Number</span> <span class="op">=</span> <span class="nam">min</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">lower</span><span class="op">,</span> <span class="nam">other</span><span class="op">.</span><span class="nam">lower</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t512" href="#t512">512</a></span><span class="t"> <span class="nam">upper</span><span class="op">:</span> <span class="nam">Number</span> <span class="op">=</span> <span class="nam">max</span><span class="op">(</span><span class="nam">self</span><span class="op">.</span><span class="nam">upper</span><span class="op">,</span> <span class="nam">other</span><span class="op">.</span><span class="nam">upper</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t513" href="#t513">513</a></span><span class="t"> <span class="nam">closed_L</span><span class="op">:</span> <span class="nam">bool</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_L</span> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">lower</span> <span class="op"><</span> <span class="nam">other</span><span class="op">.</span><span class="nam">lower</span> <span class="key">else</span> <span class="nam">other</span><span class="op">.</span><span class="nam">closed_L</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t514" href="#t514">514</a></span><span class="t"> <span class="nam">closed_R</span><span class="op">:</span> <span class="nam">bool</span> <span class="op">=</span> <span class="nam">self</span><span class="op">.</span><span class="nam">closed_R</span> <span class="key">if</span> <span class="nam">self</span><span class="op">.</span><span class="nam">upper</span> <span class="op">></span> <span class="nam">other</span><span class="op">.</span><span class="nam">upper</span> <span class="key">else</span> <span class="nam">other</span><span class="op">.</span><span class="nam">closed_R</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t515" href="#t515">515</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t516" href="#t516">516</a></span><span class="t"> <span class="key">return</span> <span class="nam">Interval</span><span class="op">(</span><span class="nam">lower</span><span class="op">,</span> <span class="nam">upper</span><span class="op">,</span> <span class="nam">closed_L</span><span class="op">=</span><span class="nam">closed_L</span><span class="op">,</span> <span class="nam">closed_R</span><span class="op">=</span><span class="nam">closed_R</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t517" href="#t517">517</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t518" href="#t518">518</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t519" href="#t519">519</a></span><span class="t"><span class="key">class</span> <span class="nam">ClosedInterval</span><span class="op">(</span><span class="nam">Interval</span><span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t520" href="#t520">520</a></span><span class="t"> <span class="key">def</span> <span class="nam">__init__</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="op">*</span><span class="nam">args</span><span class="op">:</span> <span class="nam">Union</span><span class="op">[</span><span class="nam">Sequence</span><span class="op">[</span><span class="nam">float</span><span class="op">]</span><span class="op">,</span> <span class="nam">float</span><span class="op">]</span><span class="op">,</span> <span class="op">**</span><span class="nam">kwargs</span><span class="op">:</span> <span class="nam">Any</span><span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t521" href="#t521">521</a></span><span class="t"> <span class="key">if</span> <span class="nam">any</span><span class="op">(</span><span class="nam">key</span> <span class="key">in</span> <span class="nam">kwargs</span> <span class="key">for</span> <span class="nam">key</span> <span class="key">in</span> <span class="op">(</span><span class="str">"is_closed"</span><span class="op">,</span> <span class="str">"closed_L"</span><span class="op">,</span> <span class="str">"closed_R"</span><span class="op">)</span><span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t522" href="#t522">522</a></span><span class="t"> <span class="key">raise</span> <span class="nam">ValueError</span><span class="op">(</span><span class="str">"Cannot specify closure properties for ClosedInterval"</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t523" href="#t523">523</a></span><span class="t"> <span class="nam">super</span><span class="op">(</span><span class="op">)</span><span class="op">.</span><span class="nam">__init__</span><span class="op">(</span><span class="op">*</span><span class="nam">args</span><span class="op">,</span> <span class="nam">is_closed</span><span class="op">=</span><span class="key">True</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t524" href="#t524">524</a></span><span class="t"> </span><span class="r"></span></p>
<p class="pln"><span class="n"><a id="t525" href="#t525">525</a></span><span class="t"> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t526" href="#t526">526</a></span><span class="t"><span class="key">class</span> <span class="nam">OpenInterval</span><span class="op">(</span><span class="nam">Interval</span><span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t527" href="#t527">527</a></span><span class="t"> <span class="key">def</span> <span class="nam">__init__</span><span class="op">(</span><span class="nam">self</span><span class="op">,</span> <span class="op">*</span><span class="nam">args</span><span class="op">:</span> <span class="nam">Union</span><span class="op">[</span><span class="nam">Sequence</span><span class="op">[</span><span class="nam">float</span><span class="op">]</span><span class="op">,</span> <span class="nam">float</span><span class="op">]</span><span class="op">,</span> <span class="op">**</span><span class="nam">kwargs</span><span class="op">:</span> <span class="nam">Any</span><span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t528" href="#t528">528</a></span><span class="t"> <span class="key">if</span> <span class="nam">any</span><span class="op">(</span><span class="nam">key</span> <span class="key">in</span> <span class="nam">kwargs</span> <span class="key">for</span> <span class="nam">key</span> <span class="key">in</span> <span class="op">(</span><span class="str">"is_closed"</span><span class="op">,</span> <span class="str">"closed_L"</span><span class="op">,</span> <span class="str">"closed_R"</span><span class="op">)</span><span class="op">)</span><span class="op">:</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t529" href="#t529">529</a></span><span class="t"> <span class="key">raise</span> <span class="nam">ValueError</span><span class="op">(</span><span class="str">"Cannot specify closure properties for OpenInterval"</span><span class="op">)</span> </span><span class="r"></span></p>
<p class="run"><span class="n"><a id="t530" href="#t530">530</a></span><span class="t"> <span class="nam">super</span><span class="op">(</span><span class="op">)</span><span class="op">.</span><span class="nam">__init__</span><span class="op">(</span><span class="op">*</span><span class="nam">args</span><span class="op">,</span> <span class="nam">is_closed</span><span class="op">=</span><span class="key">False</span><span class="op">)</span> </span><span class="r"></span></p>
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