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docs/pyerrors/correlators.html
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@ -63,7 +63,7 @@
<a class="function" href="#Corr.projected">projected</a>
</li>
<li>
<a class="function" href="#Corr.smearing">smearing</a>
<a class="function" href="#Corr.item">item</a>
</li>
<li>
<a class="function" href="#Corr.plottable">plottable</a>
@ -75,7 +75,7 @@
<a class="function" href="#Corr.anti_symmetric">anti_symmetric</a>
</li>
<li>
<a class="function" href="#Corr.smearing_symmetric">smearing_symmetric</a>
<a class="function" href="#Corr.matrix_symmetric">matrix_symmetric</a>
</li>
<li>
<a class="function" href="#Corr.GEVP">GEVP</a>
@ -222,10 +222,10 @@
<span class="sd"> Everything, this class does, can be achieved using lists or arrays of Obs.</span>
<span class="sd"> But it is simply more convenient to have a dedicated object for correlators.</span>
<span class="sd"> One often wants to add or multiply correlators of the same length at every timeslice and it is inconvenient</span>
<span class="sd"> to iterate over all timeslices for every operation. This is especially true, when dealing with smearing matrices.</span>
<span class="sd"> to iterate over all timeslices for every operation. This is especially true, when dealing with matrices.</span>
<span class="sd"> The correlator can have two types of content: An Obs at every timeslice OR a GEVP</span>
<span class="sd"> smearing matrix at every timeslice. Other dependency (eg. spatial) are not supported.</span>
<span class="sd"> matrix at every timeslice. Other dependency (eg. spatial) are not supported.</span>
<span class="sd"> &quot;&quot;&quot;</span>
@ -380,7 +380,7 @@
<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[</span><span class="kc">None</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="ow">or</span> <span class="n">vector_l</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="ow">or</span> <span class="n">vector_r</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="k">else</span> <span class="n">np</span><span class="o">.</span><span class="n">asarray</span><span class="p">([</span><span class="n">vector_l</span><span class="p">[</span><span class="n">t</span><span class="p">]</span><span class="o">.</span><span class="n">T</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="n">vector_r</span><span class="p">[</span><span class="n">t</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="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="k">def</span> <span class="nf">smearing</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">):</span>
<span class="k">def</span> <span class="nf">item</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Picks the element [i,j] from every matrix and returns a correlator containing one Obs per timeslice.</span>
<span class="sd"> Parameters</span>
@ -391,7 +391,7 @@
<span class="sd"> Second index to be picked.</span>
<span class="sd"> &quot;&quot;&quot;</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">N</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">&quot;Trying to pick smearing from projected Corr&quot;</span><span class="p">)</span>
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">&quot;Trying to pick item from projected Corr&quot;</span><span class="p">)</span>
<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[</span><span class="kc">None</span> <span class="k">if</span><span class="p">(</span><span class="n">item</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="k">else</span> <span class="n">item</span><span class="p">[</span><span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">]</span> <span class="k">for</span> <span class="n">item</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</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>
@ -445,13 +445,13 @@
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">&quot;Corr could not be symmetrized: No redundant values&quot;</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">prange</span><span class="o">=</span><span class="bp">self</span><span class="o">.</span><span class="n">prange</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">smearing_symmetric</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Symmetrizes the matrices and therefore make them positive definite.&quot;&quot;&quot;</span>
<span class="k">def</span> <span class="nf">matrix_symmetric</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Symmetrizes the correlator matrices on every timeslice.&quot;&quot;&quot;</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">N</span> <span class="o">&gt;</span> <span class="mi">1</span><span class="p">:</span>
<span class="n">transposed</span> <span class="o">=</span> <span class="p">[</span><span class="kc">None</span> <span class="k">if</span> <span class="p">(</span><span class="n">G</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="k">else</span> <span class="n">G</span><span class="o">.</span><span class="n">T</span> <span class="k">for</span> <span class="n">G</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">]</span>
<span class="k">return</span> <span class="mf">0.5</span> <span class="o">*</span> <span class="p">(</span><span class="n">Corr</span><span class="p">(</span><span class="n">transposed</span><span class="p">)</span> <span class="o">+</span> <span class="bp">self</span><span class="p">)</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">N</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">&quot;Trying to symmetrize a smearing matrix, that already has N=1.&quot;</span><span class="p">)</span>
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">&quot;Trying to symmetrize a correlator matrix, that already has N=1.&quot;</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">GEVP</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">t0</span><span class="p">,</span> <span class="n">ts</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">state</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="n">sorted_list</span><span class="o">=</span><span class="kc">None</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Solve the general eigenvalue problem on the current correlator</span>
@ -513,7 +513,7 @@
<span class="k">return</span> <span class="n">all_vecs</span>
<span class="k">def</span> <span class="nf">Eigenvalue</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">t0</span><span class="p">,</span> <span class="n">state</span><span class="o">=</span><span class="mi">1</span><span class="p">):</span>
<span class="n">G</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">smearing_symmetric</span><span class="p">()</span>
<span class="n">G</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">matrix_symmetric</span><span class="p">()</span>
<span class="n">G0</span> <span class="o">=</span> <span class="n">G</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t0</span><span class="p">]</span>
<span class="n">L</span> <span class="o">=</span> <span class="n">cholesky</span><span class="p">(</span><span class="n">G0</span><span class="p">)</span>
<span class="n">Li</span> <span class="o">=</span> <span class="n">inv</span><span class="p">(</span><span class="n">L</span><span class="p">)</span>
@ -1004,8 +1004,6 @@
<span class="n">content_string</span> <span class="o">+=</span> <span class="s2">&quot;Description: &quot;</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">tag</span> <span class="o">+</span> <span class="s2">&quot;</span><span class="se">\n</span><span class="s2">&quot;</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">N</span> <span class="o">!=</span> <span class="mi">1</span><span class="p">:</span>
<span class="k">return</span> <span class="n">content_string</span>
<span class="c1"># This avoids a crash for N&gt;1. I do not know, what else to do here. I like the list representation for N==1. We could print only one &quot;smearing&quot; or one matrix. Printing everything will just</span>
<span class="c1"># be a wall of numbers.</span>
<span class="k">if</span> <span class="nb">range</span><span class="p">[</span><span class="mi">1</span><span class="p">]:</span>
<span class="nb">range</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">+=</span> <span class="mi">1</span>
@ -1084,8 +1082,6 @@
<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="n">y</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="c1"># Here we set the entire timeslice to undefined, if one of the smearings has encountered an division by zero.</span>
<span class="c1"># While this might throw away perfectly good values in other smearings, we will never have to check, if all values in our matrix are defined</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="p">):</span>
<span class="k">if</span> <span class="n">newcontent</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="k">continue</span>
@ -1303,10 +1299,10 @@
<span class="sd"> Everything, this class does, can be achieved using lists or arrays of Obs.</span>
<span class="sd"> But it is simply more convenient to have a dedicated object for correlators.</span>
<span class="sd"> One often wants to add or multiply correlators of the same length at every timeslice and it is inconvenient</span>
<span class="sd"> to iterate over all timeslices for every operation. This is especially true, when dealing with smearing matrices.</span>
<span class="sd"> to iterate over all timeslices for every operation. This is especially true, when dealing with matrices.</span>
<span class="sd"> The correlator can have two types of content: An Obs at every timeslice OR a GEVP</span>
<span class="sd"> smearing matrix at every timeslice. Other dependency (eg. spatial) are not supported.</span>
<span class="sd"> matrix at every timeslice. Other dependency (eg. spatial) are not supported.</span>
<span class="sd"> &quot;&quot;&quot;</span>
@ -1461,7 +1457,7 @@
<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[</span><span class="kc">None</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="ow">or</span> <span class="n">vector_l</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="ow">or</span> <span class="n">vector_r</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="k">else</span> <span class="n">np</span><span class="o">.</span><span class="n">asarray</span><span class="p">([</span><span class="n">vector_l</span><span class="p">[</span><span class="n">t</span><span class="p">]</span><span class="o">.</span><span class="n">T</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="n">vector_r</span><span class="p">[</span><span class="n">t</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="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="k">def</span> <span class="nf">smearing</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">):</span>
<span class="k">def</span> <span class="nf">item</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Picks the element [i,j] from every matrix and returns a correlator containing one Obs per timeslice.</span>
<span class="sd"> Parameters</span>
@ -1472,7 +1468,7 @@
<span class="sd"> Second index to be picked.</span>
<span class="sd"> &quot;&quot;&quot;</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">N</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">&quot;Trying to pick smearing from projected Corr&quot;</span><span class="p">)</span>
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">&quot;Trying to pick item from projected Corr&quot;</span><span class="p">)</span>
<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[</span><span class="kc">None</span> <span class="k">if</span><span class="p">(</span><span class="n">item</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="k">else</span> <span class="n">item</span><span class="p">[</span><span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">]</span> <span class="k">for</span> <span class="n">item</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</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>
@ -1526,13 +1522,13 @@
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">&quot;Corr could not be symmetrized: No redundant values&quot;</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">prange</span><span class="o">=</span><span class="bp">self</span><span class="o">.</span><span class="n">prange</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">smearing_symmetric</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Symmetrizes the matrices and therefore make them positive definite.&quot;&quot;&quot;</span>
<span class="k">def</span> <span class="nf">matrix_symmetric</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Symmetrizes the correlator matrices on every timeslice.&quot;&quot;&quot;</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">N</span> <span class="o">&gt;</span> <span class="mi">1</span><span class="p">:</span>
<span class="n">transposed</span> <span class="o">=</span> <span class="p">[</span><span class="kc">None</span> <span class="k">if</span> <span class="p">(</span><span class="n">G</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="k">else</span> <span class="n">G</span><span class="o">.</span><span class="n">T</span> <span class="k">for</span> <span class="n">G</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">]</span>
<span class="k">return</span> <span class="mf">0.5</span> <span class="o">*</span> <span class="p">(</span><span class="n">Corr</span><span class="p">(</span><span class="n">transposed</span><span class="p">)</span> <span class="o">+</span> <span class="bp">self</span><span class="p">)</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">N</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">&quot;Trying to symmetrize a smearing matrix, that already has N=1.&quot;</span><span class="p">)</span>
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">&quot;Trying to symmetrize a correlator matrix, that already has N=1.&quot;</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">GEVP</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">t0</span><span class="p">,</span> <span class="n">ts</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">state</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="n">sorted_list</span><span class="o">=</span><span class="kc">None</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Solve the general eigenvalue problem on the current correlator</span>
@ -1594,7 +1590,7 @@
<span class="k">return</span> <span class="n">all_vecs</span>
<span class="k">def</span> <span class="nf">Eigenvalue</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">t0</span><span class="p">,</span> <span class="n">state</span><span class="o">=</span><span class="mi">1</span><span class="p">):</span>
<span class="n">G</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">smearing_symmetric</span><span class="p">()</span>
<span class="n">G</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">matrix_symmetric</span><span class="p">()</span>
<span class="n">G0</span> <span class="o">=</span> <span class="n">G</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t0</span><span class="p">]</span>
<span class="n">L</span> <span class="o">=</span> <span class="n">cholesky</span><span class="p">(</span><span class="n">G0</span><span class="p">)</span>
<span class="n">Li</span> <span class="o">=</span> <span class="n">inv</span><span class="p">(</span><span class="n">L</span><span class="p">)</span>
@ -2085,8 +2081,6 @@
<span class="n">content_string</span> <span class="o">+=</span> <span class="s2">&quot;Description: &quot;</span> <span class="o">+</span> <span class="bp">self</span><span class="o">.</span><span class="n">tag</span> <span class="o">+</span> <span class="s2">&quot;</span><span class="se">\n</span><span class="s2">&quot;</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">N</span> <span class="o">!=</span> <span class="mi">1</span><span class="p">:</span>
<span class="k">return</span> <span class="n">content_string</span>
<span class="c1"># This avoids a crash for N&gt;1. I do not know, what else to do here. I like the list representation for N==1. We could print only one &quot;smearing&quot; or one matrix. Printing everything will just</span>
<span class="c1"># be a wall of numbers.</span>
<span class="k">if</span> <span class="nb">range</span><span class="p">[</span><span class="mi">1</span><span class="p">]:</span>
<span class="nb">range</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">+=</span> <span class="mi">1</span>
@ -2165,8 +2159,6 @@
<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="n">y</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="c1"># Here we set the entire timeslice to undefined, if one of the smearings has encountered an division by zero.</span>
<span class="c1"># While this might throw away perfectly good values in other smearings, we will never have to check, if all values in our matrix are defined</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="p">):</span>
<span class="k">if</span> <span class="n">newcontent</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="k">continue</span>
@ -2324,10 +2316,10 @@
<p>Everything, this class does, can be achieved using lists or arrays of Obs.
But it is simply more convenient to have a dedicated object for correlators.
One often wants to add or multiply correlators of the same length at every timeslice and it is inconvenient
to iterate over all timeslices for every operation. This is especially true, when dealing with smearing matrices.</p>
to iterate over all timeslices for every operation. This is especially true, when dealing with matrices.</p>
<p>The correlator can have two types of content: An Obs at every timeslice OR a GEVP
smearing matrix at every timeslice. Other dependency (eg. spatial) are not supported.</p>
matrix at every timeslice. Other dependency (eg. spatial) are not supported.</p>
</div>
@ -2543,17 +2535,17 @@ By default it will return the lowest source, which usually means unsmeared-unsme
</div>
<div id="Corr.smearing" class="classattr">
<div class="attr function"><a class="headerlink" href="#Corr.smearing">#&nbsp;&nbsp</a>
<div id="Corr.item" class="classattr">
<div class="attr function"><a class="headerlink" href="#Corr.item">#&nbsp;&nbsp</a>
<span class="def">def</span>
<span class="name">smearing</span><span class="signature">(self, i, j)</span>:
<span class="name">item</span><span class="signature">(self, i, j)</span>:
</div>
<details>
<summary>View Source</summary>
<div class="codehilite"><pre><span></span> <span class="k">def</span> <span class="nf">smearing</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">):</span>
<div class="codehilite"><pre><span></span> <span class="k">def</span> <span class="nf">item</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Picks the element [i,j] from every matrix and returns a correlator containing one Obs per timeslice.</span>
<span class="sd"> Parameters</span>
@ -2564,7 +2556,7 @@ By default it will return the lowest source, which usually means unsmeared-unsme
<span class="sd"> Second index to be picked.</span>
<span class="sd"> &quot;&quot;&quot;</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">N</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">&quot;Trying to pick smearing from projected Corr&quot;</span><span class="p">)</span>
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">&quot;Trying to pick item from projected Corr&quot;</span><span class="p">)</span>
<span class="n">newcontent</span> <span class="o">=</span> <span class="p">[</span><span class="kc">None</span> <span class="k">if</span><span class="p">(</span><span class="n">item</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="k">else</span> <span class="n">item</span><span class="p">[</span><span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">]</span> <span class="k">for</span> <span class="n">item</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</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>
</pre></div>
@ -2692,28 +2684,28 @@ timeslice and the error on each timeslice.</p>
</div>
<div id="Corr.smearing_symmetric" class="classattr">
<div class="attr function"><a class="headerlink" href="#Corr.smearing_symmetric">#&nbsp;&nbsp</a>
<div id="Corr.matrix_symmetric" class="classattr">
<div class="attr function"><a class="headerlink" href="#Corr.matrix_symmetric">#&nbsp;&nbsp</a>
<span class="def">def</span>
<span class="name">smearing_symmetric</span><span class="signature">(self)</span>:
<span class="name">matrix_symmetric</span><span class="signature">(self)</span>:
</div>
<details>
<summary>View Source</summary>
<div class="codehilite"><pre><span></span> <span class="k">def</span> <span class="nf">smearing_symmetric</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Symmetrizes the matrices and therefore make them positive definite.&quot;&quot;&quot;</span>
<div class="codehilite"><pre><span></span> <span class="k">def</span> <span class="nf">matrix_symmetric</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
<span class="sd">&quot;&quot;&quot;Symmetrizes the correlator matrices on every timeslice.&quot;&quot;&quot;</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">N</span> <span class="o">&gt;</span> <span class="mi">1</span><span class="p">:</span>
<span class="n">transposed</span> <span class="o">=</span> <span class="p">[</span><span class="kc">None</span> <span class="k">if</span> <span class="p">(</span><span class="n">G</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">)</span> <span class="k">else</span> <span class="n">G</span><span class="o">.</span><span class="n">T</span> <span class="k">for</span> <span class="n">G</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">content</span><span class="p">]</span>
<span class="k">return</span> <span class="mf">0.5</span> <span class="o">*</span> <span class="p">(</span><span class="n">Corr</span><span class="p">(</span><span class="n">transposed</span><span class="p">)</span> <span class="o">+</span> <span class="bp">self</span><span class="p">)</span>
<span class="k">if</span> <span class="bp">self</span><span class="o">.</span><span class="n">N</span> <span class="o">==</span> <span class="mi">1</span><span class="p">:</span>
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">&quot;Trying to symmetrize a smearing matrix, that already has N=1.&quot;</span><span class="p">)</span>
<span class="k">raise</span> <span class="ne">Exception</span><span class="p">(</span><span class="s2">&quot;Trying to symmetrize a correlator matrix, that already has N=1.&quot;</span><span class="p">)</span>
</pre></div>
</details>
<div class="docstring"><p>Symmetrizes the matrices and therefore make them positive definite.</p>
<div class="docstring"><p>Symmetrizes the correlator matrices on every timeslice.</p>
</div>
@ -2823,7 +2815,7 @@ if this argument is set, a list of vectors (len=self.T) is returned. If it is le
<details>
<summary>View Source</summary>
<div class="codehilite"><pre><span></span> <span class="k">def</span> <span class="nf">Eigenvalue</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">t0</span><span class="p">,</span> <span class="n">state</span><span class="o">=</span><span class="mi">1</span><span class="p">):</span>
<span class="n">G</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">smearing_symmetric</span><span class="p">()</span>
<span class="n">G</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">matrix_symmetric</span><span class="p">()</span>
<span class="n">G0</span> <span class="o">=</span> <span class="n">G</span><span class="o">.</span><span class="n">content</span><span class="p">[</span><span class="n">t0</span><span class="p">]</span>
<span class="n">L</span> <span class="o">=</span> <span class="n">cholesky</span><span class="p">(</span><span class="n">G0</span><span class="p">)</span>
<span class="n">Li</span> <span class="o">=</span> <span class="n">inv</span><span class="p">(</span><span class="n">L</span><span class="p">)</span>

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