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<div class="title">Ordering.h</div> </div>
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<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>  </div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">//</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">// Copyright (C) 2012 Désiré Nuentsa-Wakam <desire.nuentsa_wakam@inria.fr></span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">//</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> </div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor">#ifndef EIGEN_ORDERING_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor"></span><span class="preprocessor">#define EIGEN_ORDERING_H</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="keyword">namespace </span>Eigen {</div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span>  </div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="preprocessor">#include "Eigen_Colamd.h"</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> </div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  </div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixType> </div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="keywordtype">void</span> ordering_helper_at_plus_a(<span class="keyword">const</span> MatrixType& mat, MatrixType& symmat)</div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> {</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  MatrixType C;</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  C = mat.transpose(); <span class="comment">// NOTE: Could be costly</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < C.rows(); i++) </div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  {</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="keywordflow">for</span> (<span class="keyword">typename</span> MatrixType::InnerIterator it(C, i); it; ++it)</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  it.valueRef() = 0.0;</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  }</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  symmat = C + mat; </div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> }</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  </div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> }</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> </div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="preprocessor">#ifndef EIGEN_MPL2_ONLY</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Index></div>
<div class="line"><a name="l00051"></a><span class="lineno"><a class="line" href="classEigen_1_1AMDOrdering.html"> 51</a></span> <span class="keyword">class </span><a class="code" href="classEigen_1_1AMDOrdering.html">AMDOrdering</a></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> {</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationMatrix<Dynamic, Dynamic, Index></a> <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationType</a>;</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  </div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> MatrixType></div>
<div class="line"><a name="l00060"></a><span class="lineno"><a class="line" href="classEigen_1_1AMDOrdering.html#ac34b06dbd6ced375bdcafe85f0ccd3e4"> 60</a></span>  <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1AMDOrdering.html#ac34b06dbd6ced375bdcafe85f0ccd3e4">operator()</a>(<span class="keyword">const</span> MatrixType& mat, <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationType</a>& perm)</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  {</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  <span class="comment">// Compute the symmetric pattern</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <a class="code" href="classEigen_1_1SparseMatrix.html">SparseMatrix<typename MatrixType::Scalar, ColMajor, Index></a> symm;</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  internal::ordering_helper_at_plus_a(mat,symm); </div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  </div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="comment">// Call the AMD routine </span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="comment">//m_mat.prune(keep_diag());</span></div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  internal::minimum_degree_ordering(symm, perm);</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  }</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  </div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> SrcType, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> SrcUpLo> </div>
<div class="line"><a name="l00073"></a><span class="lineno"><a class="line" href="classEigen_1_1AMDOrdering.html#ad66ac96678a2f5da4de623f8ae94d31c"> 73</a></span>  <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1AMDOrdering.html#ad66ac96678a2f5da4de623f8ae94d31c">operator()</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1SparseSelfAdjointView.html">SparseSelfAdjointView<SrcType, SrcUpLo></a>& mat, <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationType</a>& perm)</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  { </div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <a class="code" href="classEigen_1_1SparseMatrix.html">SparseMatrix<typename SrcType::Scalar, ColMajor, Index></a> C; C = mat;</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  </div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="comment">// Call the AMD routine </span></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="comment">// m_mat.prune(keep_diag()); //Remove the diagonal elements </span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  internal::minimum_degree_ordering(C, perm);</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  }</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> };</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> </div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="preprocessor">#endif // EIGEN_MPL2_ONLY</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="preprocessor"></span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Index></div>
<div class="line"><a name="l00094"></a><span class="lineno"><a class="line" href="classEigen_1_1NaturalOrdering.html"> 94</a></span> <span class="keyword">class </span><a class="code" href="classEigen_1_1NaturalOrdering.html">NaturalOrdering</a></div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> {</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationMatrix<Dynamic, Dynamic, Index></a> <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationType</a>;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  </div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> MatrixType></div>
<div class="line"><a name="l00101"></a><span class="lineno"><a class="line" href="classEigen_1_1NaturalOrdering.html#a650f62bee23cc69bfdaf963c0a0dd8bc"> 101</a></span>  <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1NaturalOrdering.html#a650f62bee23cc69bfdaf963c0a0dd8bc">operator()</a>(<span class="keyword">const</span> MatrixType& <span class="comment">/*mat*/</span>, <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationType</a>& perm)</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  {</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  perm.<a class="code" href="classEigen_1_1PermutationBase.html#aeac38cb29a1a50007d60782ae0d41138">resize</a>(0); </div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  }</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  </div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> };</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> </div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> <span class="keyword">template</span><<span class="keyword">typename</span> Index></div>
<div class="line"><a name="l00115"></a><span class="lineno"><a class="line" href="classEigen_1_1COLAMDOrdering.html"> 115</a></span> <span class="keyword">class </span><a class="code" href="classEigen_1_1COLAMDOrdering.html">COLAMDOrdering</a></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> {</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationMatrix<Dynamic, Dynamic, Index></a> <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationType</a>; </div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keyword">typedef</span> <a class="code" href="classEigen_1_1Matrix.html">Matrix<Index, Dynamic, 1></a> <a class="code" href="classEigen_1_1Matrix.html">IndexVector</a>;</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  </div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="keyword">template</span> <<span class="keyword">typename</span> MatrixType></div>
<div class="line"><a name="l00123"></a><span class="lineno"><a class="line" href="classEigen_1_1COLAMDOrdering.html#ac34b06dbd6ced375bdcafe85f0ccd3e4"> 123</a></span>  <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1COLAMDOrdering.html#ac34b06dbd6ced375bdcafe85f0ccd3e4">operator() </a>(<span class="keyword">const</span> MatrixType& mat, <a class="code" href="classEigen_1_1PermutationMatrix.html">PermutationType</a>& perm)</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  {</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  Index m = mat.rows();</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  Index n = mat.cols();</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  Index nnz = mat.nonZeros();</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="comment">// Get the recommended value of Alen to be used by colamd</span></div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  Index Alen = <a class="code" href="namespaceEigen_1_1internal.html#ac16f2a94d8cbbd8dc3aff4790d7674e9">internal::colamd_recommended</a>(nnz, m, n); </div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="comment">// Set the default parameters</span></div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="keywordtype">double</span> knobs [COLAMD_KNOBS]; </div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>  Index stats [COLAMD_STATS];</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  internal::colamd_set_defaults(knobs);</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  </div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  Index info;</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <a class="code" href="classEigen_1_1Matrix.html">IndexVector</a> p(n+1), A(Alen); </div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="keywordflow">for</span>(Index i=0; i <= n; i++) p(i) = mat.outerIndexPtr()[i];</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="keywordflow">for</span>(Index i=0; i < nnz; i++) A(i) = mat.innerIndexPtr()[i];</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="comment">// Call Colamd routine to compute the ordering </span></div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  info = internal::colamd(m, n, Alen, A.<a class="code" href="classEigen_1_1PlainObjectBase.html#a40dcc334db75411e168691d9bce08c3a">data</a>(), p.data(), knobs, stats); </div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  eigen_assert( info && <span class="stringliteral">"COLAMD failed "</span> );</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  </div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  perm.<a class="code" href="classEigen_1_1PermutationBase.html#aeac38cb29a1a50007d60782ae0d41138">resize</a>(n);</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="keywordflow">for</span> (Index i = 0; i < n; i++) perm.<a class="code" href="classEigen_1_1PermutationMatrix.html#a8876d615d17aad77b054a8f58b699e7d">indices</a>()(p(i)) = i;</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  }</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> };</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span> </div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> } <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> </div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span> <span class="preprocessor">#endif</span></div>
<div class="ttc" id="classEigen_1_1PlainObjectBase_html_a40dcc334db75411e168691d9bce08c3a"><div class="ttname"><a href="classEigen_1_1PlainObjectBase.html#a40dcc334db75411e168691d9bce08c3a">Eigen::PlainObjectBase::data</a></div><div class="ttdeci">const Scalar * data() const </div><div class="ttdef"><b>Definition:</b> PlainObjectBase.h:209</div></div>
<div class="ttc" id="classEigen_1_1PermutationMatrix_html_a8876d615d17aad77b054a8f58b699e7d"><div class="ttname"><a href="classEigen_1_1PermutationMatrix.html#a8876d615d17aad77b054a8f58b699e7d">Eigen::PermutationMatrix::indices</a></div><div class="ttdeci">const IndicesType & indices() const </div><div class="ttdef"><b>Definition:</b> PermutationMatrix.h:358</div></div>
<div class="ttc" id="classEigen_1_1SparseMatrix_html"><div class="ttname"><a href="classEigen_1_1SparseMatrix.html">Eigen::SparseMatrix</a></div><div class="ttdoc">A versatible sparse matrix representation. </div><div class="ttdef"><b>Definition:</b> SparseMatrix.h:85</div></div>
<div class="ttc" id="classEigen_1_1NaturalOrdering_html"><div class="ttname"><a href="classEigen_1_1NaturalOrdering.html">Eigen::NaturalOrdering</a></div><div class="ttdef"><b>Definition:</b> Ordering.h:94</div></div>
<div class="ttc" id="classEigen_1_1AMDOrdering_html"><div class="ttname"><a href="classEigen_1_1AMDOrdering.html">Eigen::AMDOrdering</a></div><div class="ttdef"><b>Definition:</b> Ordering.h:51</div></div>
<div class="ttc" id="classEigen_1_1SparseSelfAdjointView_html"><div class="ttname"><a href="classEigen_1_1SparseSelfAdjointView.html">Eigen::SparseSelfAdjointView</a></div><div class="ttdoc">Pseudo expression to manipulate a triangular sparse matrix as a selfadjoint matrix. </div><div class="ttdef"><b>Definition:</b> SparseSelfAdjointView.h:49</div></div>
<div class="ttc" id="classEigen_1_1COLAMDOrdering_html"><div class="ttname"><a href="classEigen_1_1COLAMDOrdering.html">Eigen::COLAMDOrdering</a></div><div class="ttdef"><b>Definition:</b> Ordering.h:115</div></div>
<div class="ttc" id="classEigen_1_1PermutationBase_html_aeac38cb29a1a50007d60782ae0d41138"><div class="ttname"><a href="classEigen_1_1PermutationBase.html#aeac38cb29a1a50007d60782ae0d41138">Eigen::PermutationBase::resize</a></div><div class="ttdeci">void resize(Index newSize)</div><div class="ttdef"><b>Definition:</b> PermutationMatrix.h:142</div></div>
<div class="ttc" id="classEigen_1_1AMDOrdering_html_ad66ac96678a2f5da4de623f8ae94d31c"><div class="ttname"><a href="classEigen_1_1AMDOrdering.html#ad66ac96678a2f5da4de623f8ae94d31c">Eigen::AMDOrdering::operator()</a></div><div class="ttdeci">void operator()(const SparseSelfAdjointView< SrcType, SrcUpLo > &mat, PermutationType &perm)</div><div class="ttdef"><b>Definition:</b> Ordering.h:73</div></div>
<div class="ttc" id="classEigen_1_1PermutationMatrix_html"><div class="ttname"><a href="classEigen_1_1PermutationMatrix.html">Eigen::PermutationMatrix< Dynamic, Dynamic, Index ></a></div></div>
<div class="ttc" id="classEigen_1_1NaturalOrdering_html_a650f62bee23cc69bfdaf963c0a0dd8bc"><div class="ttname"><a href="classEigen_1_1NaturalOrdering.html#a650f62bee23cc69bfdaf963c0a0dd8bc">Eigen::NaturalOrdering::operator()</a></div><div class="ttdeci">void operator()(const MatrixType &, PermutationType &perm)</div><div class="ttdef"><b>Definition:</b> Ordering.h:101</div></div>
<div class="ttc" id="classEigen_1_1COLAMDOrdering_html_ac34b06dbd6ced375bdcafe85f0ccd3e4"><div class="ttname"><a href="classEigen_1_1COLAMDOrdering.html#ac34b06dbd6ced375bdcafe85f0ccd3e4">Eigen::COLAMDOrdering::operator()</a></div><div class="ttdeci">void operator()(const MatrixType &mat, PermutationType &perm)</div><div class="ttdef"><b>Definition:</b> Ordering.h:123</div></div>
<div class="ttc" id="classEigen_1_1AMDOrdering_html_ac34b06dbd6ced375bdcafe85f0ccd3e4"><div class="ttname"><a href="classEigen_1_1AMDOrdering.html#ac34b06dbd6ced375bdcafe85f0ccd3e4">Eigen::AMDOrdering::operator()</a></div><div class="ttdeci">void operator()(const MatrixType &mat, PermutationType &perm)</div><div class="ttdef"><b>Definition:</b> Ordering.h:60</div></div>
<div class="ttc" id="namespaceEigen_1_1internal_html_ac16f2a94d8cbbd8dc3aff4790d7674e9"><div class="ttname"><a href="namespaceEigen_1_1internal.html#ac16f2a94d8cbbd8dc3aff4790d7674e9">Eigen::internal::colamd_recommended</a></div><div class="ttdeci">Index colamd_recommended(Index nnz, Index n_row, Index n_col)</div><div class="ttdoc">Returns the recommended value of Alen. </div><div class="ttdef"><b>Definition:</b> Ordering.h:265</div></div>
<div class="ttc" id="classEigen_1_1Matrix_html"><div class="ttname"><a href="classEigen_1_1Matrix.html">Eigen::Matrix< Index, Dynamic, 1 ></a></div></div>
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