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RiMillo committed Apr 19, 2024
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<div id="projectbrief">A geometric agglomerator for unstructured meshes</div>
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<div class="headertitle"><div class="title">ARComputer.h File Reference</div></div>
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<div class="textblock"><code>#include &lt;cmath&gt;</code><br />
<code>#include &lt;memory&gt;</code><br />
<code>#include &lt;numeric&gt;</code><br />
<code>#include &lt;unordered_map&gt;</code><br />
<code>#include &lt;unordered_set&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
<code>#include &quot;<a class="el" href="_dual___graph_8h_source.html">CoMMA/Dual_Graph.h</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="_util_8h_source.html">CoMMA/Util.h</a>&quot;</code><br />
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<p><a href="_a_r_computer_8h_source.html">Go to the source code of this file.</a></p>
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Classes</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcomma_1_1_cell_features.html">comma::CellFeatures&lt; IndexT, RealT, IntT &gt;</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Convenient class containing salient features of a cell. According to to the chosen AR computation (see <a class="el" href="classcomma_1_1_a_r_computer.html" title="Similar to a functor, the key point is the method that computes the AR and update the features of a c...">ARComputer</a>), some features may be outdated. <a href="classcomma_1_1_cell_features.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcomma_1_1_a_r_computer.html">comma::ARComputer&lt; IndexT, RealT, IntT &gt;</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Similar to a functor, the key point is the method that computes the AR and update the features of a cell. Here, AR is used lightly, and might be any quantity which should be minimized in the coarsening process. This is an abstract class. <a href="classcomma_1_1_a_r_computer.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcomma_1_1_a_r_diam_over_radius.html">comma::ARDiamOverRadius&lt; IndexT, RealT, IntT, dim &gt;</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="classcomma_1_1_a_r_computer.html" title="Similar to a functor, the key point is the method that computes the AR and update the features of a c...">ARComputer</a>. Here, AR is the ratio of the diameter over the estimated one (typically, in 2D, the squared root of the surface). It is the definition used in CoMMA from 1.1 up to 1.3.2. <a href="classcomma_1_1_a_r_diam_over_radius.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcomma_1_1_a_r_over_measure.html">comma::AROverMeasure&lt; IndexT, RealT, IntT &gt;</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="classcomma_1_1_a_r_computer.html" title="Similar to a functor, the key point is the method that computes the AR and update the features of a c...">ARComputer</a>. Here, AR is the reciprocal of the measure, hence the optimal solution should be the one with the max measure. <a href="classcomma_1_1_a_r_over_measure.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcomma_1_1_a_r_diam_over_min_edge.html">comma::ARDiamOverMinEdge&lt; IndexT, RealT, IntT &gt;</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="classcomma_1_1_a_r_computer.html" title="Similar to a functor, the key point is the method that computes the AR and update the features of a c...">ARComputer</a>. Here, AR is the ratio of the diameter over the smallest edge. <a href="classcomma_1_1_a_r_diam_over_min_edge.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcomma_1_1_a_r_external_weight_over_radius.html">comma::ARExternalWeightOverRadius&lt; IndexT, RealT, IntT, dim &gt;</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="classcomma_1_1_a_r_computer.html" title="Similar to a functor, the key point is the method that computes the AR and update the features of a c...">ARComputer</a>. Here, AR is the ratio of the external weights over the measure. With <code>dim</code> equal to 2, it is roughly equivalent to the ration of the perimeter and the surface of the cell. Moreover, with <code>dim</code> = 2, it is equivalent to the definition used by CoMMA up to version 1.0. For an algebraic version (where no concern is given to adimensionalize the AR), use <code>dim</code> equal to 1. <a href="classcomma_1_1_a_r_external_weight_over_radius.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcomma_1_1_a_r_diameter.html">comma::ARDiameter&lt; IndexT, RealT, IntT &gt;</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="classcomma_1_1_a_r_computer.html" title="Similar to a functor, the key point is the method that computes the AR and update the features of a c...">ARComputer</a>. Here, AR is the approximated diameter. <a href="classcomma_1_1_a_r_diameter.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcomma_1_1_a_r_external_weights.html">comma::ARExternalWeights&lt; IndexT, RealT, IntT &gt;</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="classcomma_1_1_a_r_computer.html" title="Similar to a functor, the key point is the method that computes the AR and update the features of a c...">ARComputer</a>. Here, AR is the total external weights (that is, from a geometric point of view, the perimeter). Looking for the minimum leads in graph terms to a min-cut. <a href="classcomma_1_1_a_r_external_weights.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcomma_1_1_a_r_over_internal_weights.html">comma::AROverInternalWeights&lt; IndexT, RealT, IntT &gt;</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="classcomma_1_1_a_r_computer.html" title="Similar to a functor, the key point is the method that computes the AR and update the features of a c...">ARComputer</a>. Here, AR is one over the internal weights (looking for the minimum leads to the maximization of the internal weights). <a href="classcomma_1_1_a_r_over_internal_weights.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcomma_1_1_a_r_max_bary_distance_over_radius.html">comma::ARMaxBaryDistanceOverRadius&lt; IndexT, RealT, IntT, dim &gt;</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="classcomma_1_1_a_r_computer.html" title="Similar to a functor, the key point is the method that computes the AR and update the features of a c...">ARComputer</a>. Here, AR is the ratio of the maximum over minimum distance of the cell centers from the barycenter (computed as weighted average of centers). If a cell is totally internal, it won't be included in the computations. <a href="classcomma_1_1_a_r_max_bary_distance_over_radius.html#details">More...</a><br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classcomma_1_1_a_r_max_over_min_bary_distance.html">comma::ARMaxOverMinBaryDistance&lt; IndexT, RealT, IntT &gt;</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="classcomma_1_1_a_r_computer.html" title="Similar to a functor, the key point is the method that computes the AR and update the features of a c...">ARComputer</a>. Here, AR is the ratio of the maximum over minimum distance of the cell centers from the barycenter (computed as weighted average of centers). If a cell is totally internal, it won't be included in the computations. <a href="classcomma_1_1_a_r_max_over_min_bary_distance.html#details">More...</a><br /></td></tr>
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