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<!DOCTYPE html>
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<title>Utils — Moduli space invariants 0.1 documentation</title>
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<div class="section" id="module-msinvar.utils">
<span id="utils"></span><h1>Utils<a class="headerlink" href="#module-msinvar.utils" title="Permalink to this headline">¶</a></h1>
<p>Collection of utilities.</p>
<dl class="py function">
<dt id="msinvar.utils.isiterable">
<code class="sig-prename descclassname"><span class="pre">msinvar.utils.</span></code><code class="sig-name descname"><span class="pre">isiterable</span></code><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">i</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="_modules/msinvar/utils.html#isiterable"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#msinvar.utils.isiterable" title="Permalink to this definition">¶</a></dt>
<dd></dd></dl>
<dl class="py function">
<dt id="msinvar.utils.cache">
<code class="sig-prename descclassname"><span class="pre">msinvar.utils.</span></code><code class="sig-name descname"><span class="pre">cache</span></code><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">function</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="_modules/msinvar/utils.html#cache"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#msinvar.utils.cache" title="Permalink to this definition">¶</a></dt>
<dd></dd></dl>
<dl class="py class">
<dt id="msinvar.utils.vec">
<em class="property"><span class="pre">class</span> </em><code class="sig-prename descclassname"><span class="pre">msinvar.utils.</span></code><code class="sig-name descname"><span class="pre">vec</span></code><a class="reference internal" href="_modules/msinvar/utils.html#vec"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#msinvar.utils.vec" title="Permalink to this definition">¶</a></dt>
<dd><p>Bases: <code class="xref py py-class docutils literal notranslate"><span class="pre">object</span></code></p>
<dl class="py method">
<dt id="msinvar.utils.vec.le">
<em class="property"><span class="pre">static</span> </em><code class="sig-name descname"><span class="pre">le</span></code><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">b</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="_modules/msinvar/utils.html#vec.le"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#msinvar.utils.vec.le" title="Permalink to this definition">¶</a></dt>
<dd></dd></dl>
<dl class="py method">
<dt id="msinvar.utils.vec.iszero">
<em class="property"><span class="pre">static</span> </em><code class="sig-name descname"><span class="pre">iszero</span></code><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="_modules/msinvar/utils.html#vec.iszero"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#msinvar.utils.vec.iszero" title="Permalink to this definition">¶</a></dt>
<dd></dd></dl>
<dl class="py method">
<dt id="msinvar.utils.vec.zero">
<em class="property"><span class="pre">static</span> </em><code class="sig-name descname"><span class="pre">zero</span></code><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#msinvar.utils.vec.zero" title="Permalink to this definition">¶</a></dt>
<dd></dd></dl>
<dl class="py method">
<dt id="msinvar.utils.vec.equal">
<em class="property"><span class="pre">static</span> </em><code class="sig-name descname"><span class="pre">equal</span></code><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">b</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="_modules/msinvar/utils.html#vec.equal"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#msinvar.utils.vec.equal" title="Permalink to this definition">¶</a></dt>
<dd></dd></dl>
<dl class="py method">
<dt id="msinvar.utils.vec.vmin">
<em class="property"><span class="pre">static</span> </em><code class="sig-name descname"><span class="pre">vmin</span></code><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">b</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="_modules/msinvar/utils.html#vec.vmin"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#msinvar.utils.vec.vmin" title="Permalink to this definition">¶</a></dt>
<dd></dd></dl>
<dl class="py method">
<dt id="msinvar.utils.vec.vmax">
<em class="property"><span class="pre">static</span> </em><code class="sig-name descname"><span class="pre">vmax</span></code><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">b</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="_modules/msinvar/utils.html#vec.vmax"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#msinvar.utils.vec.vmax" title="Permalink to this definition">¶</a></dt>
<dd></dd></dl>
<dl class="py method">
<dt id="msinvar.utils.vec.scal">
<em class="property"><span class="pre">static</span> </em><code class="sig-name descname"><span class="pre">scal</span></code><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">c</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">v</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="_modules/msinvar/utils.html#vec.scal"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#msinvar.utils.vec.scal" title="Permalink to this definition">¶</a></dt>
<dd></dd></dl>
<dl class="py method">
<dt id="msinvar.utils.vec.dot">
<em class="property"><span class="pre">static</span> </em><code class="sig-name descname"><span class="pre">dot</span></code><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">b</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="_modules/msinvar/utils.html#vec.dot"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#msinvar.utils.vec.dot" title="Permalink to this definition">¶</a></dt>
<dd></dd></dl>
<dl class="py method">
<dt id="msinvar.utils.vec.sub">
<em class="property"><span class="pre">static</span> </em><code class="sig-name descname"><span class="pre">sub</span></code><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">b</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="_modules/msinvar/utils.html#vec.sub"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#msinvar.utils.vec.sub" title="Permalink to this definition">¶</a></dt>
<dd></dd></dl>
<dl class="py method">
<dt id="msinvar.utils.vec.add">
<em class="property"><span class="pre">static</span> </em><code class="sig-name descname"><span class="pre">add</span></code><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">b</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">None</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="_modules/msinvar/utils.html#vec.add"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#msinvar.utils.vec.add" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the sum of vectors a, b.
If b=None, return the sum of vectors in the list a.</p>
</dd></dl>
<dl class="py method">
<dt id="msinvar.utils.vec.basis">
<em class="property"><span class="pre">static</span> </em><code class="sig-name descname"><span class="pre">basis</span></code><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">i</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">n</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="_modules/msinvar/utils.html#vec.basis"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#msinvar.utils.vec.basis" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the standard <code class="docutils literal notranslate"><span class="pre">i</span></code>-th basis vector of dimension <code class="docutils literal notranslate"><span class="pre">n</span></code>.
Here 0<=i<n.</p>
</dd></dl>
</dd></dl>
<dl class="py function">
<dt id="msinvar.utils.info">
<code class="sig-prename descclassname"><span class="pre">msinvar.utils.</span></code><code class="sig-name descname"><span class="pre">info</span></code><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">f</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="_modules/msinvar/utils.html#info"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#msinvar.utils.info" title="Permalink to this definition">¶</a></dt>
<dd></dd></dl>
<dl class="py function">
<dt id="msinvar.utils.disp">
<code class="sig-prename descclassname"><span class="pre">msinvar.utils.</span></code><code class="sig-name descname"><span class="pre">disp</span></code><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">G</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="_modules/msinvar/utils.html#disp"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#msinvar.utils.disp" title="Permalink to this definition">¶</a></dt>
<dd></dd></dl>
<dl class="py function">
<dt id="msinvar.utils.timer">
<code class="sig-prename descclassname"><span class="pre">msinvar.utils.</span></code><code class="sig-name descname"><span class="pre">timer</span></code><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">f</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">n</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">1000</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="_modules/msinvar/utils.html#timer"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#msinvar.utils.timer" title="Permalink to this definition">¶</a></dt>
<dd></dd></dl>
<dl class="py function">
<dt id="msinvar.utils.set_plots">
<code class="sig-prename descclassname"><span class="pre">msinvar.utils.</span></code><code class="sig-name descname"><span class="pre">set_plots</span></code><span class="sig-paren">(</span><span class="sig-paren">)</span><a class="reference internal" href="_modules/msinvar/utils.html#set_plots"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#msinvar.utils.set_plots" title="Permalink to this definition">¶</a></dt>
<dd></dd></dl>
<dl class="py function">
<dt id="msinvar.utils.phi">
<code class="sig-prename descclassname"><span class="pre">msinvar.utils.</span></code><code class="sig-name descname"><span class="pre">phi</span></code><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">q</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">n</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="_modules/msinvar/utils.html#phi"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#msinvar.utils.phi" title="Permalink to this definition">¶</a></dt>
<dd><p>Return <span class="math notranslate nohighlight">\((q)_n=\prod_{i=1}^n(1-q^i)\)</span>.</p>
<p>If <code class="docutils literal notranslate"><span class="pre">n</span></code> is a list, apply <a class="reference internal" href="#msinvar.utils.phi" title="msinvar.utils.phi"><code class="xref py py-meth docutils literal notranslate"><span class="pre">phi()</span></code></a> to all entries and take the product.</p>
</dd></dl>
<dl class="py function">
<dt id="msinvar.utils.poch">
<code class="sig-prename descclassname"><span class="pre">msinvar.utils.</span></code><code class="sig-name descname"><span class="pre">poch</span></code><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">a</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">q</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">n</span></span></em><span class="sig-paren">)</span><a class="reference internal" href="_modules/msinvar/utils.html#poch"><span class="viewcode-link"><span class="pre">[source]</span></span></a><a class="headerlink" href="#msinvar.utils.poch" title="Permalink to this definition">¶</a></dt>
<dd><p>Return the Pochhammer symbol <span class="math notranslate nohighlight">\((a;q)_n=\prod_{i=0}^{n-1}(1-aq^i)\)</span>.</p>
<p>If <code class="docutils literal notranslate"><span class="pre">n</span></code> is a list, apply <a class="reference internal" href="#msinvar.utils.poch" title="msinvar.utils.poch"><code class="xref py py-meth docutils literal notranslate"><span class="pre">poch()</span></code></a> to all entries and take the product.</p>
</dd></dl>
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