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@ -47,6 +47,12 @@
<h2>API Documentation</h2>
<ul class="memberlist">
<li>
<a class="function" href="#epsilon_tensor">epsilon_tensor</a>
</li>
<li>
<a class="function" href="#epsilon_tensor_rank4">epsilon_tensor_rank4</a>
</li>
<li>
<a class="function" href="#Grid_gamma">Grid_gamma</a>
</li>
@ -93,6 +99,30 @@
<span class="n">dtype</span><span class="o">=</span><span class="nb">complex</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">epsilon_tensor</span><span class="p">(</span><span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">,</span> <span class="n">k</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Rank-3 epsilon tensor</span>
<span class="sd"> Based on https://codegolf.stackexchange.com/a/160375</span>
<span class="sd"> &quot;&quot;&quot;</span>
<span class="n">test_set</span> <span class="o">=</span> <span class="nb">set</span><span class="p">((</span><span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">,</span> <span class="n">k</span><span class="p">))</span>
<span class="k">if</span> <span class="ow">not</span> <span class="p">(</span><span class="n">test_set</span> <span class="o">&lt;=</span> <span class="nb">set</span><span class="p">((</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">))</span> <span class="ow">or</span> <span class="n">test_set</span> <span class="o">&lt;=</span> <span class="nb">set</span><span class="p">((</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">))):</span>
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">&quot;Unexpected input&quot;</span><span class="p">,</span> <span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">,</span> <span class="n">k</span><span class="p">)</span>
<span class="k">return</span> <span class="p">(</span><span class="n">i</span> <span class="o">-</span> <span class="n">j</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">j</span> <span class="o">-</span> <span class="n">k</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">k</span> <span class="o">-</span> <span class="n">i</span><span class="p">)</span> <span class="o">/</span> <span class="mi">2</span>
<span class="k">def</span> <span class="nf">epsilon_tensor_rank4</span><span class="p">(</span><span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">,</span> <span class="n">k</span><span class="p">,</span> <span class="n">o</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Rank-4 epsilon tensor</span>
<span class="sd"> Extension of https://codegolf.stackexchange.com/a/160375</span>
<span class="sd"> &quot;&quot;&quot;</span>
<span class="n">test_set</span> <span class="o">=</span> <span class="nb">set</span><span class="p">((</span><span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">,</span> <span class="n">k</span><span class="p">,</span> <span class="n">o</span><span class="p">))</span>
<span class="k">if</span> <span class="ow">not</span> <span class="p">(</span><span class="n">test_set</span> <span class="o">&lt;=</span> <span class="nb">set</span><span class="p">((</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">))</span> <span class="ow">or</span> <span class="n">test_set</span> <span class="o">&lt;=</span> <span class="nb">set</span><span class="p">((</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">))):</span>
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">&quot;Unexpected input&quot;</span><span class="p">,</span> <span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">,</span> <span class="n">k</span><span class="p">,</span> <span class="n">o</span><span class="p">)</span>
<span class="k">return</span> <span class="p">(</span><span class="n">i</span> <span class="o">-</span> <span class="n">j</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">j</span> <span class="o">-</span> <span class="n">k</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">k</span> <span class="o">-</span> <span class="n">i</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">i</span> <span class="o">-</span> <span class="n">o</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">j</span> <span class="o">-</span> <span class="n">o</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">o</span> <span class="o">-</span> <span class="n">k</span><span class="p">)</span> <span class="o">/</span> <span class="mi">12</span>
<span class="k">def</span> <span class="nf">Grid_gamma</span><span class="p">(</span><span class="n">gamma_tag</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Returns gamma matrix in Grid labeling.&quot;&quot;&quot;</span>
<span class="k">if</span> <span class="n">gamma_tag</span> <span class="o">==</span> <span class="s1">&#39;Identity&#39;</span><span class="p">:</span>
@ -135,6 +165,68 @@
</details>
</section>
<section id="epsilon_tensor">
<div class="attr function"><a class="headerlink" href="#epsilon_tensor">#&nbsp;&nbsp</a>
<span class="def">def</span>
<span class="name">epsilon_tensor</span><span class="signature">(i, j, k)</span>:
</div>
<details>
<summary>View Source</summary>
<div class="codehilite"><pre><span></span><span class="k">def</span> <span class="nf">epsilon_tensor</span><span class="p">(</span><span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">,</span> <span class="n">k</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Rank-3 epsilon tensor</span>
<span class="sd"> Based on https://codegolf.stackexchange.com/a/160375</span>
<span class="sd"> &quot;&quot;&quot;</span>
<span class="n">test_set</span> <span class="o">=</span> <span class="nb">set</span><span class="p">((</span><span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">,</span> <span class="n">k</span><span class="p">))</span>
<span class="k">if</span> <span class="ow">not</span> <span class="p">(</span><span class="n">test_set</span> <span class="o">&lt;=</span> <span class="nb">set</span><span class="p">((</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">))</span> <span class="ow">or</span> <span class="n">test_set</span> <span class="o">&lt;=</span> <span class="nb">set</span><span class="p">((</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">))):</span>
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">&quot;Unexpected input&quot;</span><span class="p">,</span> <span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">,</span> <span class="n">k</span><span class="p">)</span>
<span class="k">return</span> <span class="p">(</span><span class="n">i</span> <span class="o">-</span> <span class="n">j</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">j</span> <span class="o">-</span> <span class="n">k</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">k</span> <span class="o">-</span> <span class="n">i</span><span class="p">)</span> <span class="o">/</span> <span class="mi">2</span>
</pre></div>
</details>
<div class="docstring"><p>Rank-3 epsilon tensor</p>
<p>Based on https://codegolf.stackexchange.com/a/160375</p>
</div>
</section>
<section id="epsilon_tensor_rank4">
<div class="attr function"><a class="headerlink" href="#epsilon_tensor_rank4">#&nbsp;&nbsp</a>
<span class="def">def</span>
<span class="name">epsilon_tensor_rank4</span><span class="signature">(i, j, k, o)</span>:
</div>
<details>
<summary>View Source</summary>
<div class="codehilite"><pre><span></span><span class="k">def</span> <span class="nf">epsilon_tensor_rank4</span><span class="p">(</span><span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">,</span> <span class="n">k</span><span class="p">,</span> <span class="n">o</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Rank-4 epsilon tensor</span>
<span class="sd"> Extension of https://codegolf.stackexchange.com/a/160375</span>
<span class="sd"> &quot;&quot;&quot;</span>
<span class="n">test_set</span> <span class="o">=</span> <span class="nb">set</span><span class="p">((</span><span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">,</span> <span class="n">k</span><span class="p">,</span> <span class="n">o</span><span class="p">))</span>
<span class="k">if</span> <span class="ow">not</span> <span class="p">(</span><span class="n">test_set</span> <span class="o">&lt;=</span> <span class="nb">set</span><span class="p">((</span><span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">4</span><span class="p">))</span> <span class="ow">or</span> <span class="n">test_set</span> <span class="o">&lt;=</span> <span class="nb">set</span><span class="p">((</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">))):</span>
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">&quot;Unexpected input&quot;</span><span class="p">,</span> <span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">,</span> <span class="n">k</span><span class="p">,</span> <span class="n">o</span><span class="p">)</span>
<span class="k">return</span> <span class="p">(</span><span class="n">i</span> <span class="o">-</span> <span class="n">j</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">j</span> <span class="o">-</span> <span class="n">k</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">k</span> <span class="o">-</span> <span class="n">i</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">i</span> <span class="o">-</span> <span class="n">o</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">j</span> <span class="o">-</span> <span class="n">o</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">o</span> <span class="o">-</span> <span class="n">k</span><span class="p">)</span> <span class="o">/</span> <span class="mi">12</span>
</pre></div>
</details>
<div class="docstring"><p>Rank-4 epsilon tensor</p>
<p>Extension of https://codegolf.stackexchange.com/a/160375</p>
</div>
</section>
<section id="Grid_gamma">
<div class="attr function"><a class="headerlink" href="#Grid_gamma">#&nbsp;&nbsp</a>