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<div class="headertitle"><div class="title">CGAL::Eigen_diagonalize_traits< FT, dim > Class Template Reference<div class="ingroups"><a class="el" href="group__PkgSolverInterfaceRef.html">CGAL and Solvers Reference</a> » <a class="el" href="group__PkgSolverInterfaceLS.html">Linear Systems</a></div></div></div>
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<p><code>#include <CGAL/Eigen_diagonalize_traits.h></code></p>
<a name="details" id="details"></a><h2 class="groupheader">Definition</h2>
<div class="textblock"><div class="compoundTemplParams">template<typename FT, unsigned int dim = 3><br>
class CGAL::Eigen_diagonalize_traits< FT, dim ></div><p>The class <code><a class="el" href="classCGAL_1_1Eigen__diagonalize__traits.html" title="The class Eigen_diagonalize_traits provides an interface to the diagonalization of covariance matrice...">Eigen_diagonalize_traits</a></code> provides an interface to the diagonalization of covariance matrices of <a class="elRef" href="../Manual/thirdparty.html#thirdpartyEigen">Eigen</a>. </p>
<p><a class="elRef" href="../Manual/thirdparty.html#thirdpartyEigen">Eigen</a> version 3.1 (or later) must be available on the system.</p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">FT</td><td>Number type </td></tr>
<tr><td class="paramname">dim</td><td>Dimension of the matrices and vectors</td></tr>
</table>
</dd>
</dl>
<dl>
<dt>Is model of</dt>
<dd><code><a class="el" href="classDiagonalizeTraits.html" title="Concept providing functions to extract eigenvectors and eigenvalues from covariance matrices represen...">DiagonalizeTraits</a></code> </dd>
</dl>
<dl class="section see"><dt>See also</dt><dd><a href="https://eigen.tuxfamily.org/index.php?title=Main_Page">https://eigen.tuxfamily.org/index.php?title=Main_Page</a> </dd></dl>
<dl class="section examples"><dt>Examples</dt><dd><a class="el" href="Solver_interface_2diagonalize_matrix_8cpp-example.html#_a0">Solver_interface/diagonalize_matrix.cpp</a>.</dd>
</dl>
</div><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pub-types" name="pub-types"></a>
Public Types</h2></td></tr>
<tr class="memitem:a2cf5e8e99a4605a3db3e074c45bde443"><td class="memItemLeft" align="right" valign="top"><a id="a2cf5e8e99a4605a3db3e074c45bde443" name="a2cf5e8e99a4605a3db3e074c45bde443"></a>
typedef std::array< FT, dim > </td><td class="memItemRight" valign="bottom"><b>Vector</b></td></tr>
<tr class="separator:a2cf5e8e99a4605a3db3e074c45bde443"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a143cf26f44cc0469648ad7cae5caea1c"><td class="memItemLeft" align="right" valign="top"><a id="a143cf26f44cc0469648ad7cae5caea1c" name="a143cf26f44cc0469648ad7cae5caea1c"></a>
typedef std::array< FT, dim *dim > </td><td class="memItemRight" valign="bottom"><b>Matrix</b></td></tr>
<tr class="separator:a143cf26f44cc0469648ad7cae5caea1c"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a82fb2bed44e4bae13b4c13de121ed926"><td class="memItemLeft" align="right" valign="top"><a id="a82fb2bed44e4bae13b4c13de121ed926" name="a82fb2bed44e4bae13b4c13de121ed926"></a>
typedef std::array< FT,(dim *(dim+1)/2)> </td><td class="memItemRight" valign="bottom"><b>Covariance_matrix</b></td></tr>
<tr class="separator:a82fb2bed44e4bae13b4c13de121ed926"><td class="memSeparator" colspan="2"> </td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pub-static-methods" name="pub-static-methods"></a>
Static Public Member Functions</h2></td></tr>
<tr class="memitem:a712b82e644ce5c03882ae1f90dd6838a"><td class="memItemLeft" align="right" valign="top">static bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classCGAL_1_1Eigen__diagonalize__traits.html#a712b82e644ce5c03882ae1f90dd6838a">diagonalize_selfadjoint_covariance_matrix</a> (const <a class="el" href="classCGAL_1_1Eigen__diagonalize__traits.html#a82fb2bed44e4bae13b4c13de121ed926">Covariance_matrix</a> &cov, <a class="el" href="classCGAL_1_1Eigen__diagonalize__traits.html#a2cf5e8e99a4605a3db3e074c45bde443">Vector</a> &eigenvalues)</td></tr>
<tr class="memdesc:a712b82e644ce5c03882ae1f90dd6838a"><td class="mdescLeft"> </td><td class="mdescRight">Fill <code>eigenvalues</code> with the eigenvalues of the covariance matrix represented by <code>cov</code>. <br></td></tr>
<tr class="separator:a712b82e644ce5c03882ae1f90dd6838a"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a273fc4e60be2454eafedc3ce25c0c5a8"><td class="memItemLeft" align="right" valign="top">static bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classCGAL_1_1Eigen__diagonalize__traits.html#a273fc4e60be2454eafedc3ce25c0c5a8">diagonalize_selfadjoint_covariance_matrix</a> (const <a class="el" href="classCGAL_1_1Eigen__diagonalize__traits.html#a82fb2bed44e4bae13b4c13de121ed926">Covariance_matrix</a> &cov, <a class="el" href="classCGAL_1_1Eigen__diagonalize__traits.html#a2cf5e8e99a4605a3db3e074c45bde443">Vector</a> &eigenvalues, <a class="el" href="classCGAL_1_1Eigen__diagonalize__traits.html#a143cf26f44cc0469648ad7cae5caea1c">Matrix</a> &eigenvectors)</td></tr>
<tr class="memdesc:a273fc4e60be2454eafedc3ce25c0c5a8"><td class="mdescLeft"> </td><td class="mdescRight">Fill <code>eigenvalues</code> with the eigenvalues and <code>eigenvectors</code> with the eigenvectors of the covariance matrix represented by <code>cov</code>. <br></td></tr>
<tr class="separator:a273fc4e60be2454eafedc3ce25c0c5a8"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ab73272637aceb8963a6d9f250c1c73a9"><td class="memItemLeft" align="right" valign="top">static bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classCGAL_1_1Eigen__diagonalize__traits.html#ab73272637aceb8963a6d9f250c1c73a9">extract_largest_eigenvector_of_covariance_matrix</a> (const <a class="el" href="classCGAL_1_1Eigen__diagonalize__traits.html#a82fb2bed44e4bae13b4c13de121ed926">Covariance_matrix</a> &cov, <a class="el" href="classCGAL_1_1Eigen__diagonalize__traits.html#a2cf5e8e99a4605a3db3e074c45bde443">Vector</a> &<a class="elRef" href="../Kernel_23/group__normal__grp.html#gafe43c91d0ec7130cb673402cf8227dff">normal</a>)</td></tr>
<tr class="memdesc:ab73272637aceb8963a6d9f250c1c73a9"><td class="mdescLeft"> </td><td class="mdescRight">Extract the eigenvector associated to the largest eigenvalue of the covariance matrix represented by <code>cov</code>. <br></td></tr>
<tr class="separator:ab73272637aceb8963a6d9f250c1c73a9"><td class="memSeparator" colspan="2"> </td></tr>
</table>
<h2 class="groupheader">Member Function Documentation</h2>
<a id="a712b82e644ce5c03882ae1f90dd6838a" name="a712b82e644ce5c03882ae1f90dd6838a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a712b82e644ce5c03882ae1f90dd6838a">◆ </a></span>diagonalize_selfadjoint_covariance_matrix() <span class="overload">[1/2]</span></h2>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template<typename FT , unsigned int dim = 3> </div>
<table class="mlabels">
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<td class="mlabels-left">
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<td class="memname">static bool <a class="el" href="classCGAL_1_1Eigen__diagonalize__traits.html">CGAL::Eigen_diagonalize_traits</a>< FT, dim >::diagonalize_selfadjoint_covariance_matrix </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCGAL_1_1Eigen__diagonalize__traits.html#a82fb2bed44e4bae13b4c13de121ed926">Covariance_matrix</a> & </td>
<td class="paramname"><em>cov</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classCGAL_1_1Eigen__diagonalize__traits.html#a2cf5e8e99a4605a3db3e074c45bde443">Vector</a> & </td>
<td class="paramname"><em>eigenvalues</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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</td>
<td class="mlabels-right">
<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Fill <code>eigenvalues</code> with the eigenvalues of the covariance matrix represented by <code>cov</code>. </p>
<p>Eigenvalues are sorted by increasing order. </p><dl class="section return"><dt>Returns</dt><dd><code>true</code> if the operation was successful and <code>false</code> otherwise. </dd></dl>
</div>
</div>
<a id="a273fc4e60be2454eafedc3ce25c0c5a8" name="a273fc4e60be2454eafedc3ce25c0c5a8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a273fc4e60be2454eafedc3ce25c0c5a8">◆ </a></span>diagonalize_selfadjoint_covariance_matrix() <span class="overload">[2/2]</span></h2>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template<typename FT , unsigned int dim = 3> </div>
<table class="mlabels">
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<td class="mlabels-left">
<table class="memname">
<tr>
<td class="memname">static bool <a class="el" href="classCGAL_1_1Eigen__diagonalize__traits.html">CGAL::Eigen_diagonalize_traits</a>< FT, dim >::diagonalize_selfadjoint_covariance_matrix </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCGAL_1_1Eigen__diagonalize__traits.html#a82fb2bed44e4bae13b4c13de121ed926">Covariance_matrix</a> & </td>
<td class="paramname"><em>cov</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classCGAL_1_1Eigen__diagonalize__traits.html#a2cf5e8e99a4605a3db3e074c45bde443">Vector</a> & </td>
<td class="paramname"><em>eigenvalues</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="classCGAL_1_1Eigen__diagonalize__traits.html#a143cf26f44cc0469648ad7cae5caea1c">Matrix</a> & </td>
<td class="paramname"><em>eigenvectors</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Fill <code>eigenvalues</code> with the eigenvalues and <code>eigenvectors</code> with the eigenvectors of the covariance matrix represented by <code>cov</code>. </p>
<p>Eigenvalues are sorted by increasing order. </p><dl class="section return"><dt>Returns</dt><dd><code>true</code> if the operation was successful and <code>false</code> otherwise. </dd></dl>
</div>
</div>
<a id="ab73272637aceb8963a6d9f250c1c73a9" name="ab73272637aceb8963a6d9f250c1c73a9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ab73272637aceb8963a6d9f250c1c73a9">◆ </a></span>extract_largest_eigenvector_of_covariance_matrix()</h2>
<div class="memitem">
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<div class="memtemplate">
template<typename FT , unsigned int dim = 3> </div>
<table class="mlabels">
<tr>
<td class="mlabels-left">
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<td class="memname">static bool <a class="el" href="classCGAL_1_1Eigen__diagonalize__traits.html">CGAL::Eigen_diagonalize_traits</a>< FT, dim >::extract_largest_eigenvector_of_covariance_matrix </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCGAL_1_1Eigen__diagonalize__traits.html#a82fb2bed44e4bae13b4c13de121ed926">Covariance_matrix</a> & </td>
<td class="paramname"><em>cov</em>, </td>
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<td class="paramtype"><a class="el" href="classCGAL_1_1Eigen__diagonalize__traits.html#a2cf5e8e99a4605a3db3e074c45bde443">Vector</a> & </td>
<td class="paramname"><em>normal</em> </td>
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<td>)</td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Extract the eigenvector associated to the largest eigenvalue of the covariance matrix represented by <code>cov</code>. </p>
<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the operation was successful and <code>false</code> otherwise. </dd></dl>
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