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Documentation updated
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fjosw
parent
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2 changed files with 218 additions and 80 deletions
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@ -666,25 +666,16 @@
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<span class="k">return</span> <span class="p">(</span><span class="bp">self</span> <span class="o">+</span> <span class="n">T_partner</span><span class="p">)</span> <span class="o">/</span> <span class="mi">2</span>
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<span class="k">def</span> <span class="nf">deriv</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">symmetric</span><span class="o">=</span><span class="kc">True</span><span class="p">):</span>
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<span class="k">def</span> <span class="nf">deriv</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">variant</span><span class="o">=</span><span class="s2">"symmetric"</span><span class="p">):</span>
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<span class="sd">"""Return the first derivative of the correlator with respect to x0.</span>
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<span class="sd"> Parameters</span>
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<span class="sd"> ----------</span>
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<span class="sd"> symmetric : bool</span>
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<span class="sd"> decides whether symmetric of simple finite differences are used. Default: True</span>
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<span class="sd"> variant : str</span>
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<span class="sd"> decides which definition of the finite differences derivative is used.</span>
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<span class="sd"> Available choice: symmetric, forward, backward, improved, default: symmetric</span>
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<span class="sd"> """</span>
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<span class="k">if</span> <span class="ow">not</span> <span class="n">symmetric</span><span class="p">:</span>
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<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[]</span>
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<span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">T</span> <span class="o">-</span> <span class="mi">1</span><span class="p">):</span>
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<span class="k">if</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">):</span>
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<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="kc">None</span><span class="p">)</span>
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<span class="k">else</span><span class="p">:</span>
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<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">])</span>
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<span class="k">if</span><span class="p">(</span><span class="nb">all</span><span class="p">([</span><span class="n">x</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">newcontent</span><span class="p">])):</span>
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<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">"Derivative is undefined at all timeslices"</span><span class="p">)</span>
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<span class="k">return</span> <span class="n">Corr</span><span class="p">(</span><span class="n">newcontent</span><span class="p">,</span> <span class="n">padding</span><span class="o">=</span><span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">])</span>
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<span class="k">if</span> <span class="n">symmetric</span><span class="p">:</span>
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<span class="k">if</span> <span class="n">variant</span> <span class="o">==</span> <span class="s2">"symmetric"</span><span class="p">:</span>
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<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[]</span>
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<span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">T</span> <span class="o">-</span> <span class="mi">1</span><span class="p">):</span>
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<span class="k">if</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">):</span>
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@ -694,9 +685,49 @@
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<span class="k">if</span><span class="p">(</span><span class="nb">all</span><span class="p">([</span><span class="n">x</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">newcontent</span><span class="p">])):</span>
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<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s1">'Derivative is undefined at all timeslices'</span><span class="p">)</span>
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<span class="k">return</span> <span class="n">Corr</span><span class="p">(</span><span class="n">newcontent</span><span class="p">,</span> <span class="n">padding</span><span class="o">=</span><span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">])</span>
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<span class="k">elif</span> <span class="n">variant</span> <span class="o">==</span> <span class="s2">"forward"</span><span class="p">:</span>
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<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[]</span>
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<span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">T</span> <span class="o">-</span> <span class="mi">1</span><span class="p">):</span>
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<span class="k">if</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">):</span>
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<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="kc">None</span><span class="p">)</span>
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<span class="k">else</span><span class="p">:</span>
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<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">])</span>
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<span class="k">if</span><span class="p">(</span><span class="nb">all</span><span class="p">([</span><span class="n">x</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">newcontent</span><span class="p">])):</span>
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<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">"Derivative is undefined at all timeslices"</span><span class="p">)</span>
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<span class="k">return</span> <span class="n">Corr</span><span class="p">(</span><span class="n">newcontent</span><span class="p">,</span> <span class="n">padding</span><span class="o">=</span><span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">])</span>
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<span class="k">elif</span> <span class="n">variant</span> <span class="o">==</span> <span class="s2">"backward"</span><span class="p">:</span>
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<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[]</span>
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<span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">T</span><span class="p">):</span>
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<span class="k">if</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">):</span>
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<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="kc">None</span><span class="p">)</span>
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<span class="k">else</span><span class="p">:</span>
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<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">]</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">])</span>
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<span class="k">if</span><span class="p">(</span><span class="nb">all</span><span class="p">([</span><span class="n">x</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">newcontent</span><span class="p">])):</span>
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<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">"Derivative is undefined at all timeslices"</span><span class="p">)</span>
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<span class="k">return</span> <span class="n">Corr</span><span class="p">(</span><span class="n">newcontent</span><span class="p">,</span> <span class="n">padding</span><span class="o">=</span><span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">])</span>
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<span class="k">elif</span> <span class="n">variant</span> <span class="o">==</span> <span class="s2">"improved"</span><span class="p">:</span>
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<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[]</span>
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<span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">T</span> <span class="o">-</span> <span class="mi">2</span><span class="p">):</span>
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<span class="k">if</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">2</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">2</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">):</span>
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<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="kc">None</span><span class="p">)</span>
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<span class="k">else</span><span class="p">:</span>
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<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="mi">1</span> <span class="o">/</span> <span class="mi">12</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">2</span><span class="p">]</span> <span class="o">-</span> <span class="mi">8</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="o">+</span> <span class="mi">8</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">2</span><span class="p">]))</span>
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<span class="k">if</span><span class="p">(</span><span class="nb">all</span><span class="p">([</span><span class="n">x</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">newcontent</span><span class="p">])):</span>
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<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s1">'Derivative is undefined at all timeslices'</span><span class="p">)</span>
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<span class="k">return</span> <span class="n">Corr</span><span class="p">(</span><span class="n">newcontent</span><span class="p">,</span> <span class="n">padding</span><span class="o">=</span><span class="p">[</span><span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">])</span>
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<span class="k">else</span><span class="p">:</span>
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<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">"Unknown variant."</span><span class="p">)</span>
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<span class="k">def</span> <span class="nf">second_deriv</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
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<span class="sd">"""Return the second derivative of the correlator with respect to x0."""</span>
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<span class="k">def</span> <span class="nf">second_deriv</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">variant</span><span class="o">=</span><span class="s2">"symmetric"</span><span class="p">):</span>
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<span class="sd">"""Return the second derivative of the correlator with respect to x0.</span>
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<span class="sd"> Parameters</span>
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<span class="sd"> ----------</span>
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<span class="sd"> variant : str</span>
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<span class="sd"> decides which definition of the finite differences derivative is used.</span>
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<span class="sd"> Available choice: symmetric, improved, default: symmetric</span>
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<span class="sd"> """</span>
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<span class="k">if</span> <span class="n">variant</span> <span class="o">==</span> <span class="s2">"symmetric"</span><span class="p">:</span>
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<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[]</span>
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<span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">T</span> <span class="o">-</span> <span class="mi">1</span><span class="p">):</span>
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<span class="k">if</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">):</span>
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@ -706,6 +737,18 @@
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<span class="k">if</span><span class="p">(</span><span class="nb">all</span><span class="p">([</span><span class="n">x</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">newcontent</span><span class="p">])):</span>
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<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">"Derivative is undefined at all timeslices"</span><span class="p">)</span>
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<span class="k">return</span> <span class="n">Corr</span><span class="p">(</span><span class="n">newcontent</span><span class="p">,</span> <span class="n">padding</span><span class="o">=</span><span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">])</span>
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<span class="k">elif</span> <span class="n">variant</span> <span class="o">==</span> <span class="s2">"improved"</span><span class="p">:</span>
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<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[]</span>
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<span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">T</span> <span class="o">-</span> <span class="mi">2</span><span class="p">):</span>
|
||||
<span class="k">if</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">2</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">2</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">):</span>
|
||||
<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="kc">None</span><span class="p">)</span>
|
||||
<span class="k">else</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="mi">1</span> <span class="o">/</span> <span class="mi">12</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="o">-</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">2</span><span class="p">]</span> <span class="o">+</span> <span class="mi">16</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="mi">30</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">]</span> <span class="o">+</span> <span class="mi">16</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">2</span><span class="p">]))</span>
|
||||
<span class="k">if</span><span class="p">(</span><span class="nb">all</span><span class="p">([</span><span class="n">x</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">newcontent</span><span class="p">])):</span>
|
||||
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">"Derivative is undefined at all timeslices"</span><span class="p">)</span>
|
||||
<span class="k">return</span> <span class="n">Corr</span><span class="p">(</span><span class="n">newcontent</span><span class="p">,</span> <span class="n">padding</span><span class="o">=</span><span class="p">[</span><span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">])</span>
|
||||
<span class="k">else</span><span class="p">:</span>
|
||||
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">"Unknown variant."</span><span class="p">)</span>
|
||||
|
||||
<span class="k">def</span> <span class="nf">m_eff</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">variant</span><span class="o">=</span><span class="s1">'log'</span><span class="p">,</span> <span class="n">guess</span><span class="o">=</span><span class="mf">1.0</span><span class="p">):</span>
|
||||
<span class="sd">"""Returns the effective mass of the correlator as correlator object</span>
|
||||
|
|
@ -1707,25 +1750,16 @@
|
|||
|
||||
<span class="k">return</span> <span class="p">(</span><span class="bp">self</span> <span class="o">+</span> <span class="n">T_partner</span><span class="p">)</span> <span class="o">/</span> <span class="mi">2</span>
|
||||
|
||||
<span class="k">def</span> <span class="nf">deriv</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">symmetric</span><span class="o">=</span><span class="kc">True</span><span class="p">):</span>
|
||||
<span class="k">def</span> <span class="nf">deriv</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">variant</span><span class="o">=</span><span class="s2">"symmetric"</span><span class="p">):</span>
|
||||
<span class="sd">"""Return the first derivative of the correlator with respect to x0.</span>
|
||||
|
||||
<span class="sd"> Parameters</span>
|
||||
<span class="sd"> ----------</span>
|
||||
<span class="sd"> symmetric : bool</span>
|
||||
<span class="sd"> decides whether symmetric of simple finite differences are used. Default: True</span>
|
||||
<span class="sd"> variant : str</span>
|
||||
<span class="sd"> decides which definition of the finite differences derivative is used.</span>
|
||||
<span class="sd"> Available choice: symmetric, forward, backward, improved, default: symmetric</span>
|
||||
<span class="sd"> """</span>
|
||||
<span class="k">if</span> <span class="ow">not</span> <span class="n">symmetric</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[]</span>
|
||||
<span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">T</span> <span class="o">-</span> <span class="mi">1</span><span class="p">):</span>
|
||||
<span class="k">if</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">):</span>
|
||||
<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="kc">None</span><span class="p">)</span>
|
||||
<span class="k">else</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">])</span>
|
||||
<span class="k">if</span><span class="p">(</span><span class="nb">all</span><span class="p">([</span><span class="n">x</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">newcontent</span><span class="p">])):</span>
|
||||
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">"Derivative is undefined at all timeslices"</span><span class="p">)</span>
|
||||
<span class="k">return</span> <span class="n">Corr</span><span class="p">(</span><span class="n">newcontent</span><span class="p">,</span> <span class="n">padding</span><span class="o">=</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="k">if</span> <span class="n">symmetric</span><span class="p">:</span>
|
||||
<span class="k">if</span> <span class="n">variant</span> <span class="o">==</span> <span class="s2">"symmetric"</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[]</span>
|
||||
<span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">T</span> <span class="o">-</span> <span class="mi">1</span><span class="p">):</span>
|
||||
<span class="k">if</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">):</span>
|
||||
|
|
@ -1735,9 +1769,49 @@
|
|||
<span class="k">if</span><span class="p">(</span><span class="nb">all</span><span class="p">([</span><span class="n">x</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">newcontent</span><span class="p">])):</span>
|
||||
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s1">'Derivative is undefined at all timeslices'</span><span class="p">)</span>
|
||||
<span class="k">return</span> <span class="n">Corr</span><span class="p">(</span><span class="n">newcontent</span><span class="p">,</span> <span class="n">padding</span><span class="o">=</span><span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">])</span>
|
||||
<span class="k">elif</span> <span class="n">variant</span> <span class="o">==</span> <span class="s2">"forward"</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[]</span>
|
||||
<span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">T</span> <span class="o">-</span> <span class="mi">1</span><span class="p">):</span>
|
||||
<span class="k">if</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">):</span>
|
||||
<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="kc">None</span><span class="p">)</span>
|
||||
<span class="k">else</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">])</span>
|
||||
<span class="k">if</span><span class="p">(</span><span class="nb">all</span><span class="p">([</span><span class="n">x</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">newcontent</span><span class="p">])):</span>
|
||||
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">"Derivative is undefined at all timeslices"</span><span class="p">)</span>
|
||||
<span class="k">return</span> <span class="n">Corr</span><span class="p">(</span><span class="n">newcontent</span><span class="p">,</span> <span class="n">padding</span><span class="o">=</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="k">elif</span> <span class="n">variant</span> <span class="o">==</span> <span class="s2">"backward"</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[]</span>
|
||||
<span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">T</span><span class="p">):</span>
|
||||
<span class="k">if</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">):</span>
|
||||
<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="kc">None</span><span class="p">)</span>
|
||||
<span class="k">else</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">]</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">])</span>
|
||||
<span class="k">if</span><span class="p">(</span><span class="nb">all</span><span class="p">([</span><span class="n">x</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">newcontent</span><span class="p">])):</span>
|
||||
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">"Derivative is undefined at all timeslices"</span><span class="p">)</span>
|
||||
<span class="k">return</span> <span class="n">Corr</span><span class="p">(</span><span class="n">newcontent</span><span class="p">,</span> <span class="n">padding</span><span class="o">=</span><span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">])</span>
|
||||
<span class="k">elif</span> <span class="n">variant</span> <span class="o">==</span> <span class="s2">"improved"</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[]</span>
|
||||
<span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">T</span> <span class="o">-</span> <span class="mi">2</span><span class="p">):</span>
|
||||
<span class="k">if</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">2</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">2</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">):</span>
|
||||
<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="kc">None</span><span class="p">)</span>
|
||||
<span class="k">else</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="mi">1</span> <span class="o">/</span> <span class="mi">12</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">2</span><span class="p">]</span> <span class="o">-</span> <span class="mi">8</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="o">+</span> <span class="mi">8</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">2</span><span class="p">]))</span>
|
||||
<span class="k">if</span><span class="p">(</span><span class="nb">all</span><span class="p">([</span><span class="n">x</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">newcontent</span><span class="p">])):</span>
|
||||
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s1">'Derivative is undefined at all timeslices'</span><span class="p">)</span>
|
||||
<span class="k">return</span> <span class="n">Corr</span><span class="p">(</span><span class="n">newcontent</span><span class="p">,</span> <span class="n">padding</span><span class="o">=</span><span class="p">[</span><span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">])</span>
|
||||
<span class="k">else</span><span class="p">:</span>
|
||||
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">"Unknown variant."</span><span class="p">)</span>
|
||||
|
||||
<span class="k">def</span> <span class="nf">second_deriv</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
|
||||
<span class="sd">"""Return the second derivative of the correlator with respect to x0."""</span>
|
||||
<span class="k">def</span> <span class="nf">second_deriv</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">variant</span><span class="o">=</span><span class="s2">"symmetric"</span><span class="p">):</span>
|
||||
<span class="sd">"""Return the second derivative of the correlator with respect to x0.</span>
|
||||
|
||||
<span class="sd"> Parameters</span>
|
||||
<span class="sd"> ----------</span>
|
||||
<span class="sd"> variant : str</span>
|
||||
<span class="sd"> decides which definition of the finite differences derivative is used.</span>
|
||||
<span class="sd"> Available choice: symmetric, improved, default: symmetric</span>
|
||||
<span class="sd"> """</span>
|
||||
<span class="k">if</span> <span class="n">variant</span> <span class="o">==</span> <span class="s2">"symmetric"</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[]</span>
|
||||
<span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">T</span> <span class="o">-</span> <span class="mi">1</span><span class="p">):</span>
|
||||
<span class="k">if</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">):</span>
|
||||
|
|
@ -1747,6 +1821,18 @@
|
|||
<span class="k">if</span><span class="p">(</span><span class="nb">all</span><span class="p">([</span><span class="n">x</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">newcontent</span><span class="p">])):</span>
|
||||
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">"Derivative is undefined at all timeslices"</span><span class="p">)</span>
|
||||
<span class="k">return</span> <span class="n">Corr</span><span class="p">(</span><span class="n">newcontent</span><span class="p">,</span> <span class="n">padding</span><span class="o">=</span><span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">])</span>
|
||||
<span class="k">elif</span> <span class="n">variant</span> <span class="o">==</span> <span class="s2">"improved"</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[]</span>
|
||||
<span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">T</span> <span class="o">-</span> <span class="mi">2</span><span class="p">):</span>
|
||||
<span class="k">if</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">2</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">2</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">):</span>
|
||||
<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="kc">None</span><span class="p">)</span>
|
||||
<span class="k">else</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="mi">1</span> <span class="o">/</span> <span class="mi">12</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="o">-</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">2</span><span class="p">]</span> <span class="o">+</span> <span class="mi">16</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="mi">30</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">]</span> <span class="o">+</span> <span class="mi">16</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">2</span><span class="p">]))</span>
|
||||
<span class="k">if</span><span class="p">(</span><span class="nb">all</span><span class="p">([</span><span class="n">x</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">newcontent</span><span class="p">])):</span>
|
||||
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">"Derivative is undefined at all timeslices"</span><span class="p">)</span>
|
||||
<span class="k">return</span> <span class="n">Corr</span><span class="p">(</span><span class="n">newcontent</span><span class="p">,</span> <span class="n">padding</span><span class="o">=</span><span class="p">[</span><span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">])</span>
|
||||
<span class="k">else</span><span class="p">:</span>
|
||||
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">"Unknown variant."</span><span class="p">)</span>
|
||||
|
||||
<span class="k">def</span> <span class="nf">m_eff</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">variant</span><span class="o">=</span><span class="s1">'log'</span><span class="p">,</span> <span class="n">guess</span><span class="o">=</span><span class="mf">1.0</span><span class="p">):</span>
|
||||
<span class="sd">"""Returns the effective mass of the correlator as correlator object</span>
|
||||
|
|
@ -3082,30 +3168,21 @@ Parity quantum number of the correlator, can be +1 or -1</li>
|
|||
|
||||
|
||||
<span class="def">def</span>
|
||||
<span class="name">deriv</span><span class="signature">(self, symmetric=True)</span>:
|
||||
<span class="name">deriv</span><span class="signature">(self, variant='symmetric')</span>:
|
||||
</div>
|
||||
|
||||
<details>
|
||||
<summary>View Source</summary>
|
||||
<div class="codehilite"><pre><span></span> <span class="k">def</span> <span class="nf">deriv</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">symmetric</span><span class="o">=</span><span class="kc">True</span><span class="p">):</span>
|
||||
<div class="codehilite"><pre><span></span> <span class="k">def</span> <span class="nf">deriv</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">variant</span><span class="o">=</span><span class="s2">"symmetric"</span><span class="p">):</span>
|
||||
<span class="sd">"""Return the first derivative of the correlator with respect to x0.</span>
|
||||
|
||||
<span class="sd"> Parameters</span>
|
||||
<span class="sd"> ----------</span>
|
||||
<span class="sd"> symmetric : bool</span>
|
||||
<span class="sd"> decides whether symmetric of simple finite differences are used. Default: True</span>
|
||||
<span class="sd"> variant : str</span>
|
||||
<span class="sd"> decides which definition of the finite differences derivative is used.</span>
|
||||
<span class="sd"> Available choice: symmetric, forward, backward, improved, default: symmetric</span>
|
||||
<span class="sd"> """</span>
|
||||
<span class="k">if</span> <span class="ow">not</span> <span class="n">symmetric</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[]</span>
|
||||
<span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">T</span> <span class="o">-</span> <span class="mi">1</span><span class="p">):</span>
|
||||
<span class="k">if</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">):</span>
|
||||
<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="kc">None</span><span class="p">)</span>
|
||||
<span class="k">else</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">])</span>
|
||||
<span class="k">if</span><span class="p">(</span><span class="nb">all</span><span class="p">([</span><span class="n">x</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">newcontent</span><span class="p">])):</span>
|
||||
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">"Derivative is undefined at all timeslices"</span><span class="p">)</span>
|
||||
<span class="k">return</span> <span class="n">Corr</span><span class="p">(</span><span class="n">newcontent</span><span class="p">,</span> <span class="n">padding</span><span class="o">=</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="k">if</span> <span class="n">symmetric</span><span class="p">:</span>
|
||||
<span class="k">if</span> <span class="n">variant</span> <span class="o">==</span> <span class="s2">"symmetric"</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[]</span>
|
||||
<span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">T</span> <span class="o">-</span> <span class="mi">1</span><span class="p">):</span>
|
||||
<span class="k">if</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">):</span>
|
||||
|
|
@ -3115,6 +3192,38 @@ Parity quantum number of the correlator, can be +1 or -1</li>
|
|||
<span class="k">if</span><span class="p">(</span><span class="nb">all</span><span class="p">([</span><span class="n">x</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">newcontent</span><span class="p">])):</span>
|
||||
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s1">'Derivative is undefined at all timeslices'</span><span class="p">)</span>
|
||||
<span class="k">return</span> <span class="n">Corr</span><span class="p">(</span><span class="n">newcontent</span><span class="p">,</span> <span class="n">padding</span><span class="o">=</span><span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">])</span>
|
||||
<span class="k">elif</span> <span class="n">variant</span> <span class="o">==</span> <span class="s2">"forward"</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[]</span>
|
||||
<span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">T</span> <span class="o">-</span> <span class="mi">1</span><span class="p">):</span>
|
||||
<span class="k">if</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">):</span>
|
||||
<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="kc">None</span><span class="p">)</span>
|
||||
<span class="k">else</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">])</span>
|
||||
<span class="k">if</span><span class="p">(</span><span class="nb">all</span><span class="p">([</span><span class="n">x</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">newcontent</span><span class="p">])):</span>
|
||||
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">"Derivative is undefined at all timeslices"</span><span class="p">)</span>
|
||||
<span class="k">return</span> <span class="n">Corr</span><span class="p">(</span><span class="n">newcontent</span><span class="p">,</span> <span class="n">padding</span><span class="o">=</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="k">elif</span> <span class="n">variant</span> <span class="o">==</span> <span class="s2">"backward"</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[]</span>
|
||||
<span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">T</span><span class="p">):</span>
|
||||
<span class="k">if</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">):</span>
|
||||
<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="kc">None</span><span class="p">)</span>
|
||||
<span class="k">else</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">]</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">])</span>
|
||||
<span class="k">if</span><span class="p">(</span><span class="nb">all</span><span class="p">([</span><span class="n">x</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">newcontent</span><span class="p">])):</span>
|
||||
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">"Derivative is undefined at all timeslices"</span><span class="p">)</span>
|
||||
<span class="k">return</span> <span class="n">Corr</span><span class="p">(</span><span class="n">newcontent</span><span class="p">,</span> <span class="n">padding</span><span class="o">=</span><span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">])</span>
|
||||
<span class="k">elif</span> <span class="n">variant</span> <span class="o">==</span> <span class="s2">"improved"</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[]</span>
|
||||
<span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">T</span> <span class="o">-</span> <span class="mi">2</span><span class="p">):</span>
|
||||
<span class="k">if</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">2</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">2</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">):</span>
|
||||
<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="kc">None</span><span class="p">)</span>
|
||||
<span class="k">else</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="mi">1</span> <span class="o">/</span> <span class="mi">12</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">2</span><span class="p">]</span> <span class="o">-</span> <span class="mi">8</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="o">+</span> <span class="mi">8</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">2</span><span class="p">]))</span>
|
||||
<span class="k">if</span><span class="p">(</span><span class="nb">all</span><span class="p">([</span><span class="n">x</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">newcontent</span><span class="p">])):</span>
|
||||
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s1">'Derivative is undefined at all timeslices'</span><span class="p">)</span>
|
||||
<span class="k">return</span> <span class="n">Corr</span><span class="p">(</span><span class="n">newcontent</span><span class="p">,</span> <span class="n">padding</span><span class="o">=</span><span class="p">[</span><span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">])</span>
|
||||
<span class="k">else</span><span class="p">:</span>
|
||||
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">"Unknown variant."</span><span class="p">)</span>
|
||||
</pre></div>
|
||||
|
||||
</details>
|
||||
|
|
@ -3124,8 +3233,9 @@ Parity quantum number of the correlator, can be +1 or -1</li>
|
|||
<h6 id="parameters">Parameters</h6>
|
||||
|
||||
<ul>
|
||||
<li><strong>symmetric</strong> (bool):
|
||||
decides whether symmetric of simple finite differences are used. Default: True</li>
|
||||
<li><strong>variant</strong> (str):
|
||||
decides which definition of the finite differences derivative is used.
|
||||
Available choice: symmetric, forward, backward, improved, default: symmetric</li>
|
||||
</ul>
|
||||
</div>
|
||||
|
||||
|
|
@ -3136,13 +3246,21 @@ decides whether symmetric of simple finite differences are used. Default: True</
|
|||
|
||||
|
||||
<span class="def">def</span>
|
||||
<span class="name">second_deriv</span><span class="signature">(self)</span>:
|
||||
<span class="name">second_deriv</span><span class="signature">(self, variant='symmetric')</span>:
|
||||
</div>
|
||||
|
||||
<details>
|
||||
<summary>View Source</summary>
|
||||
<div class="codehilite"><pre><span></span> <span class="k">def</span> <span class="nf">second_deriv</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
|
||||
<span class="sd">"""Return the second derivative of the correlator with respect to x0."""</span>
|
||||
<div class="codehilite"><pre><span></span> <span class="k">def</span> <span class="nf">second_deriv</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">variant</span><span class="o">=</span><span class="s2">"symmetric"</span><span class="p">):</span>
|
||||
<span class="sd">"""Return the second derivative of the correlator with respect to x0.</span>
|
||||
|
||||
<span class="sd"> Parameters</span>
|
||||
<span class="sd"> ----------</span>
|
||||
<span class="sd"> variant : str</span>
|
||||
<span class="sd"> decides which definition of the finite differences derivative is used.</span>
|
||||
<span class="sd"> Available choice: symmetric, improved, default: symmetric</span>
|
||||
<span class="sd"> """</span>
|
||||
<span class="k">if</span> <span class="n">variant</span> <span class="o">==</span> <span class="s2">"symmetric"</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[]</span>
|
||||
<span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">T</span> <span class="o">-</span> <span class="mi">1</span><span class="p">):</span>
|
||||
<span class="k">if</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">):</span>
|
||||
|
|
@ -3152,11 +3270,31 @@ decides whether symmetric of simple finite differences are used. Default: True</
|
|||
<span class="k">if</span><span class="p">(</span><span class="nb">all</span><span class="p">([</span><span class="n">x</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">newcontent</span><span class="p">])):</span>
|
||||
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">"Derivative is undefined at all timeslices"</span><span class="p">)</span>
|
||||
<span class="k">return</span> <span class="n">Corr</span><span class="p">(</span><span class="n">newcontent</span><span class="p">,</span> <span class="n">padding</span><span class="o">=</span><span class="p">[</span><span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">])</span>
|
||||
<span class="k">elif</span> <span class="n">variant</span> <span class="o">==</span> <span class="s2">"improved"</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[]</span>
|
||||
<span class="k">for</span> <span class="n">t</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">T</span> <span class="o">-</span> <span class="mi">2</span><span class="p">):</span>
|
||||
<span class="k">if</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">2</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">2</span><span class="p">]</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">):</span>
|
||||
<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="kc">None</span><span class="p">)</span>
|
||||
<span class="k">else</span><span class="p">:</span>
|
||||
<span class="n">newcontent</span><span class="o">.</span><span class="n">append</span><span class="p">((</span><span class="mi">1</span> <span class="o">/</span> <span class="mi">12</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="o">-</span><span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">2</span><span class="p">]</span> <span class="o">+</span> <span class="mi">16</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">+</span> <span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="mi">30</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span><span class="p">]</span> <span class="o">+</span> <span class="mi">16</span> <span class="o">*</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t</span> <span class="o">-</span> <span class="mi">2</span><span class="p">]))</span>
|
||||
<span class="k">if</span><span class="p">(</span><span class="nb">all</span><span class="p">([</span><span class="n">x</span> <span class="ow">is</span> <span class="kc">None</span> <span class="k">for</span> <span class="n">x</span> <span class="ow">in</span> <span class="n">newcontent</span><span class="p">])):</span>
|
||||
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">"Derivative is undefined at all timeslices"</span><span class="p">)</span>
|
||||
<span class="k">return</span> <span class="n">Corr</span><span class="p">(</span><span class="n">newcontent</span><span class="p">,</span> <span class="n">padding</span><span class="o">=</span><span class="p">[</span><span class="mi">2</span><span class="p">,</span> <span class="mi">2</span><span class="p">])</span>
|
||||
<span class="k">else</span><span class="p">:</span>
|
||||
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">"Unknown variant."</span><span class="p">)</span>
|
||||
</pre></div>
|
||||
|
||||
</details>
|
||||
|
||||
<div class="docstring"><p>Return the second derivative of the correlator with respect to x0.</p>
|
||||
|
||||
<h6 id="parameters">Parameters</h6>
|
||||
|
||||
<ul>
|
||||
<li><strong>variant</strong> (str):
|
||||
decides which definition of the finite differences derivative is used.
|
||||
Available choice: symmetric, improved, default: symmetric</li>
|
||||
</ul>
|
||||
</div>
|
||||
|
||||
|
||||
|
|
|
|||
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Add table
Reference in a new issue