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FullPivHouseholderQR_8h_source.html
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<div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment">// for linear algebra.</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment">//</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment">// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr></span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">// Copyright (C) 2009 Benoit Jacob <jacob.benoit.1@gmail.com></span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment">//</span></div>
<div class="line"><a id="l00007" 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 id="l00008" 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 id="l00009" 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 id="l00010" name="l00010"></a><span class="lineno"> 10</span> </div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="preprocessor">#ifndef EIGEN_FULLPIVOTINGHOUSEHOLDERQR_H</span></div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="preprocessor">#define EIGEN_FULLPIVOTINGHOUSEHOLDERQR_H</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#include "./InternalHeaderCheck.h"</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> </div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceEigen.html">Eigen</a> { </div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> </div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="keyword">namespace </span>internal {</div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> </div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="keyword">template</span><<span class="keyword">typename</span> MatrixType_, <span class="keyword">typename</span> PermutationIndex_> <span class="keyword">struct </span>traits<FullPivHouseholderQR<MatrixType_, PermutationIndex_> ></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> : traits<MatrixType_></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span>{</div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> <span class="keyword">typedef</span> MatrixXpr XprKind;</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> <span class="keyword">typedef</span> SolverStorage StorageKind;</div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> <span class="keyword">typedef</span> PermutationIndex_ PermutationIndex;</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> <span class="keyword">enum</span> { Flags = 0 };</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span>};</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> </div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="keyword">template</span><<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> PermutationIndex> <span class="keyword">struct </span>FullPivHouseholderQRMatrixQReturnType;</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> </div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="keyword">template</span><<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> PermutationIndex></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="keyword">struct </span>traits<FullPivHouseholderQRMatrixQReturnType<MatrixType, PermutationIndex> ></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span>{</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::PlainObject ReturnType;</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span>};</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> </div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span>} <span class="comment">// end namespace internal</span></div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> </div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html"> 62</a></span><span class="keyword">template</span><<span class="keyword">typename</span> MatrixType_, <span class="keyword">typename</span> PermutationIndex_> <span class="keyword">class </span><a class="code hl_class" href="classEigen_1_1FullPivHouseholderQR.html">FullPivHouseholderQR</a></div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> : <span class="keyword">public</span> <a class="code hl_class" href="classEigen_1_1SolverBase.html">SolverBase</a><FullPivHouseholderQR<MatrixType_, PermutationIndex_> ></div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span>{</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> </div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="keyword">typedef</span> MatrixType_ MatrixType;</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="keyword">typedef</span> <a class="code hl_class" href="classEigen_1_1SolverBase.html">SolverBase<FullPivHouseholderQR></a> <a class="code hl_class" href="classEigen_1_1SolverBase.html">Base</a>;</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keyword">friend</span> <span class="keyword">class </span><a class="code hl_class" href="classEigen_1_1SolverBase.html">SolverBase</a><<a class="code hl_class" href="classEigen_1_1FullPivHouseholderQR.html">FullPivHouseholderQR</a>>;</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keyword">typedef</span> PermutationIndex_ PermutationIndex;</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> EIGEN_GENERIC_PUBLIC_INTERFACE(<a class="code hl_class" href="classEigen_1_1FullPivHouseholderQR.html">FullPivHouseholderQR</a>)</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> </div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keyword">enum</span> {</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> MaxRowsAtCompileTime = MatrixType::MaxRowsAtCompileTime,</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> MaxColsAtCompileTime = MatrixType::MaxColsAtCompileTime</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> };</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="keyword">typedef</span> internal::FullPivHouseholderQRMatrixQReturnType<MatrixType, PermutationIndex> MatrixQReturnType;</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::plain_diag_type<MatrixType>::type HCoeffsType;</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="keyword">typedef</span> <a class="code hl_class" href="classEigen_1_1Matrix.html">Matrix</a><PermutationIndex, 1,</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> internal::min_size_prefer_dynamic(ColsAtCompileTime,RowsAtCompileTime), <a class="code hl_enumvalue" href="group__enums.html#ggaacded1a18ae58b0f554751f6cdf9eb13a77c993a8d9f6efe5c1159fb2ab07dd4f">RowMajor</a>, 1,</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> internal::min_size_prefer_fixed(MaxColsAtCompileTime, MaxRowsAtCompileTime)> <a class="code hl_class" href="classEigen_1_1Matrix.html">IntDiagSizeVectorType</a>;</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="keyword">typedef</span> <a class="code hl_class" href="classEigen_1_1PermutationMatrix.html">PermutationMatrix<ColsAtCompileTime, MaxColsAtCompileTime, PermutationIndex></a> <a class="code hl_class" href="classEigen_1_1PermutationMatrix.html">PermutationType</a>;</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::plain_row_type<MatrixType>::type RowVectorType;</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::plain_col_type<MatrixType>::type ColVectorType;</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::PlainObject PlainObject;</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> </div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#a8a71b444454248ba31fdd1e03c2afca2"> 92</a></span> <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#a8a71b444454248ba31fdd1e03c2afca2">FullPivHouseholderQR</a>()</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> : m_qr(),</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> m_hCoeffs(),</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> m_rows_transpositions(),</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> m_cols_transpositions(),</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> m_cols_permutation(),</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> m_temp(),</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> m_isInitialized(false),</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> m_usePrescribedThreshold(false) {}</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> </div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#ab1267d6bdc984f47a6606549096e43ca"> 108</a></span> <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#ab1267d6bdc984f47a6606549096e43ca">FullPivHouseholderQR</a>(<a class="code hl_typedef" href="structEigen_1_1EigenBase.html#a554f30542cc2316add4b1ea0a492ff02">Index</a> rows, <a class="code hl_typedef" href="structEigen_1_1EigenBase.html#a554f30542cc2316add4b1ea0a492ff02">Index</a> cols)</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> : m_qr(rows, cols),</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> m_hCoeffs((std::min)(rows,cols)),</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> m_rows_transpositions((std::min)(rows,cols)),</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> m_cols_transpositions((std::min)(rows,cols)),</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> m_cols_permutation(cols),</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> m_temp(cols),</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> m_isInitialized(false),</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> m_usePrescribedThreshold(false) {}</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> </div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="keyword">template</span><<span class="keyword">typename</span> InputType></div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#ac905a17cc0d05bd7495d32752b5cfc2c"> 131</a></span> <span class="keyword">explicit</span> <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#ac905a17cc0d05bd7495d32752b5cfc2c">FullPivHouseholderQR</a>(<span class="keyword">const</span> <a class="code hl_class" href="structEigen_1_1EigenBase.html">EigenBase<InputType></a>& matrix)</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> : m_qr(matrix.rows(), matrix.cols()),</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> m_hCoeffs((std::min)(matrix.rows(), matrix.cols())),</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> m_rows_transpositions((std::min)(matrix.rows(), matrix.cols())),</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> m_cols_transpositions((std::min)(matrix.rows(), matrix.cols())),</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> m_cols_permutation(matrix.cols()),</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> m_temp(matrix.cols()),</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> m_isInitialized(false),</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> m_usePrescribedThreshold(false)</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> {</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> compute(matrix.<a class="code hl_function" href="structEigen_1_1EigenBase.html#a749b057c52245e486a101868d2578a24">derived</a>());</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> }</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> </div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <span class="keyword">template</span><<span class="keyword">typename</span> InputType></div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#ada717b351977b2b6e164fc7a5c39a684"> 151</a></span> <span class="keyword">explicit</span> <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#ada717b351977b2b6e164fc7a5c39a684">FullPivHouseholderQR</a>(<a class="code hl_class" href="structEigen_1_1EigenBase.html">EigenBase<InputType></a>& matrix)</div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> : m_qr(matrix.<a class="code hl_function" href="classEigen_1_1SolverBase.html#a749b057c52245e486a101868d2578a24">derived</a>()),</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> m_hCoeffs((std::min)(matrix.rows(), matrix.cols())),</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> m_rows_transpositions((std::min)(matrix.rows(), matrix.cols())),</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> m_cols_transpositions((std::min)(matrix.rows(), matrix.cols())),</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> m_cols_permutation(matrix.cols()),</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> m_temp(matrix.cols()),</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> m_isInitialized(false),</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> m_usePrescribedThreshold(false)</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> {</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> computeInPlace();</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> }</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> </div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span><span class="preprocessor"> #ifdef EIGEN_PARSED_BY_DOXYGEN</span></div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> <span class="keyword">template</span><<span class="keyword">typename</span> Rhs></div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <span class="keyword">inline</span> <span class="keyword">const</span> <a class="code hl_class" href="classEigen_1_1Solve.html">Solve<FullPivHouseholderQR, Rhs></a></div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#a20d0cfd9d10ae98e210afb6e92125020"> 182</a></span> <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#a20d0cfd9d10ae98e210afb6e92125020">solve</a>(<span class="keyword">const</span> <a class="code hl_class" href="classEigen_1_1MatrixBase.html">MatrixBase<Rhs></a>& b) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span><span class="preprocessor"> #endif</span></div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> </div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> MatrixQReturnType <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#a2330d48a46150c5ad1a27f9fc9d73058">matrixQ</a>(<span class="keywordtype">void</span>) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> </div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#a17b946dd570cb1a67a69a9a007614aac"> 191</a></span> <span class="keyword">const</span> MatrixType& <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#a17b946dd570cb1a67a69a9a007614aac">matrixQR</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> eigen_assert(m_isInitialized && <span class="stringliteral">"FullPivHouseholderQR is not initialized."</span>);</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <span class="keywordflow">return</span> m_qr;</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> }</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> </div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> <span class="keyword">template</span><<span class="keyword">typename</span> InputType></div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <a class="code hl_class" href="classEigen_1_1FullPivHouseholderQR.html">FullPivHouseholderQR</a>& compute(<span class="keyword">const</span> <a class="code hl_class" href="structEigen_1_1EigenBase.html">EigenBase<InputType></a>& matrix);</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> </div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#a4c3c0223d179841636b07eaca35c8190"> 201</a></span> <span class="keyword">const</span> <a class="code hl_class" href="classEigen_1_1PermutationMatrix.html">PermutationType</a>& <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#a4c3c0223d179841636b07eaca35c8190">colsPermutation</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> eigen_assert(m_isInitialized && <span class="stringliteral">"FullPivHouseholderQR is not initialized."</span>);</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="keywordflow">return</span> m_cols_permutation;</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> }</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> </div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#a79be5f78985ed122b9c1adeb195bce44"> 208</a></span> <span class="keyword">const</span> <a class="code hl_class" href="classEigen_1_1Matrix.html">IntDiagSizeVectorType</a>& <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#a79be5f78985ed122b9c1adeb195bce44">rowsTranspositions</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> eigen_assert(m_isInitialized && <span class="stringliteral">"FullPivHouseholderQR is not initialized."</span>);</div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <span class="keywordflow">return</span> m_rows_transpositions;</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> }</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> </div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> <span class="keyword">typename</span> MatrixType::Scalar <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#a856ff1e233e779f1338171c248101665">determinant</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> </div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> <span class="keyword">typename</span> MatrixType::RealScalar <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#aaf5c2e5137b6bc13d5645038ae3a1570">absDeterminant</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> </div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> <span class="keyword">typename</span> MatrixType::RealScalar <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#a43ace5b01505d1a2190555a9f8b960c2">logAbsDeterminant</a>() <span class="keyword">const</span>;</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> </div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#a487fd1d8497d19d7c46214eeec2388a1"> 264</a></span> <span class="keyword">inline</span> <a class="code hl_typedef" href="structEigen_1_1EigenBase.html#a554f30542cc2316add4b1ea0a492ff02">Index</a> <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#a487fd1d8497d19d7c46214eeec2388a1">rank</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> <span class="keyword">using </span>std::abs;</div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> eigen_assert(m_isInitialized && <span class="stringliteral">"FullPivHouseholderQR is not initialized."</span>);</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> RealScalar premultiplied_threshold = abs(m_maxpivot) * <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#afb017cb8869773a4d6beaf2909fa0f84">threshold</a>();</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> <a class="code hl_typedef" href="structEigen_1_1EigenBase.html#a554f30542cc2316add4b1ea0a492ff02">Index</a> result = 0;</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> <span class="keywordflow">for</span>(<a class="code hl_typedef" href="structEigen_1_1EigenBase.html#a554f30542cc2316add4b1ea0a492ff02">Index</a> i = 0; i < m_nonzero_pivots; ++i)</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> result += (abs(m_qr.coeff(i,i)) > premultiplied_threshold);</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> <span class="keywordflow">return</span> result;</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> }</div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> </div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#a1119cad7adc6395c6090b6520270d66f"> 281</a></span> <span class="keyword">inline</span> <a class="code hl_typedef" href="structEigen_1_1EigenBase.html#a554f30542cc2316add4b1ea0a492ff02">Index</a> <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#a1119cad7adc6395c6090b6520270d66f">dimensionOfKernel</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> eigen_assert(m_isInitialized && <span class="stringliteral">"FullPivHouseholderQR is not initialized."</span>);</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> <span class="keywordflow">return</span> cols() - <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#a487fd1d8497d19d7c46214eeec2388a1">rank</a>();</div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> }</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> </div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#a3368eb45044d2fa79c5c7fb89d39e45d"> 294</a></span> <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#a3368eb45044d2fa79c5c7fb89d39e45d">isInjective</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> eigen_assert(m_isInitialized && <span class="stringliteral">"FullPivHouseholderQR is not initialized."</span>);</div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> <span class="keywordflow">return</span> <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#a487fd1d8497d19d7c46214eeec2388a1">rank</a>() == cols();</div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> }</div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> </div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#a73901ddb5be695078667791abd2a2055"> 307</a></span> <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#a73901ddb5be695078667791abd2a2055">isSurjective</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> eigen_assert(m_isInitialized && <span class="stringliteral">"FullPivHouseholderQR is not initialized."</span>);</div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> <span class="keywordflow">return</span> <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#a487fd1d8497d19d7c46214eeec2388a1">rank</a>() == rows();</div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> }</div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> </div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#a3cd6c1f8ddc5419ea58333993df4117b"> 319</a></span> <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#a3cd6c1f8ddc5419ea58333993df4117b">isInvertible</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> eigen_assert(m_isInitialized && <span class="stringliteral">"FullPivHouseholderQR is not initialized."</span>);</div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> <span class="keywordflow">return</span> <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#a3368eb45044d2fa79c5c7fb89d39e45d">isInjective</a>() && <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#a73901ddb5be695078667791abd2a2055">isSurjective</a>();</div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> }</div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> </div>
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#acc38360d60f16fbc527d0d251be61f21"> 330</a></span> <span class="keyword">inline</span> <span class="keyword">const</span> <a class="code hl_class" href="classEigen_1_1Inverse.html">Inverse<FullPivHouseholderQR></a> <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#acc38360d60f16fbc527d0d251be61f21">inverse</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> eigen_assert(m_isInitialized && <span class="stringliteral">"FullPivHouseholderQR is not initialized."</span>);</div>
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> <span class="keywordflow">return</span> <a class="code hl_class" href="classEigen_1_1Inverse.html">Inverse<FullPivHouseholderQR></a>(*<span class="keyword">this</span>);</div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> }</div>
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span> </div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> <span class="keyword">inline</span> <a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> rows()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_qr.rows(); }</div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span> <span class="keyword">inline</span> <a class="code hl_typedef" href="structEigen_1_1EigenBase.html#a554f30542cc2316add4b1ea0a492ff02">Index</a> cols()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_qr.cols(); }</div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> </div>
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#a8d70b9b3a4c3487380fd8ac2f583507b"> 343</a></span> <span class="keyword">const</span> HCoeffsType& <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#a8d70b9b3a4c3487380fd8ac2f583507b">hCoeffs</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_hCoeffs; }</div>
<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> </div>
<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#a0be7ba95ab964938674607f101d17de5"> 362</a></span> <a class="code hl_class" href="classEigen_1_1FullPivHouseholderQR.html">FullPivHouseholderQR</a>& <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#a0be7ba95ab964938674607f101d17de5">setThreshold</a>(<span class="keyword">const</span> RealScalar& <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#afb017cb8869773a4d6beaf2909fa0f84">threshold</a>)</div>
<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> {</div>
<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> m_usePrescribedThreshold = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span> m_prescribedThreshold = <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#afb017cb8869773a4d6beaf2909fa0f84">threshold</a>;</div>
<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</span> }</div>
<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span> </div>
<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#a317ca39adde3c9e86c37e0a1b41af972"> 377</a></span> <a class="code hl_class" href="classEigen_1_1FullPivHouseholderQR.html">FullPivHouseholderQR</a>& <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#a317ca39adde3c9e86c37e0a1b41af972">setThreshold</a>(Default_t)</div>
<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</span> {</div>
<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</span> m_usePrescribedThreshold = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"> 380</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00381" name="l00381"></a><span class="lineno"> 381</span> }</div>
<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"> 382</span> </div>
<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#afb017cb8869773a4d6beaf2909fa0f84"> 387</a></span> RealScalar <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#afb017cb8869773a4d6beaf2909fa0f84">threshold</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00388" name="l00388"></a><span class="lineno"> 388</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span> eigen_assert(m_isInitialized || m_usePrescribedThreshold);</div>
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</span> <span class="keywordflow">return</span> m_usePrescribedThreshold ? m_prescribedThreshold</div>
<div class="line"><a id="l00391" name="l00391"></a><span class="lineno"> 391</span> <span class="comment">// this formula comes from experimenting (see "LU precision tuning" thread on the list)</span></div>
<div class="line"><a id="l00392" name="l00392"></a><span class="lineno"> 392</span> <span class="comment">// and turns out to be identical to Higham's formula used already in LDLt.</span></div>
<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"> 393</span> : <a class="code hl_class" href="structEigen_1_1NumTraits.html">NumTraits<Scalar>::epsilon</a>() * RealScalar(m_qr.diagonalSize());</div>
<div class="line"><a id="l00394" name="l00394"></a><span class="lineno"> 394</span> }</div>
<div class="line"><a id="l00395" name="l00395"></a><span class="lineno"> 395</span> </div>
<div class="line"><a id="l00403" name="l00403"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#af8cb75540eb91d240478f6ecfb2fc0eb"> 403</a></span> <span class="keyword">inline</span> <a class="code hl_typedef" href="structEigen_1_1EigenBase.html#a554f30542cc2316add4b1ea0a492ff02">Index</a> <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#af8cb75540eb91d240478f6ecfb2fc0eb">nonzeroPivots</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00404" name="l00404"></a><span class="lineno"> 404</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00405" name="l00405"></a><span class="lineno"> 405</span> eigen_assert(m_isInitialized && <span class="stringliteral">"LU is not initialized."</span>);</div>
<div class="line"><a id="l00406" name="l00406"></a><span class="lineno"> 406</span> <span class="keywordflow">return</span> m_nonzero_pivots;</div>
<div class="line"><a id="l00407" name="l00407"></a><span class="lineno"> 407</span> }</div>
<div class="line"><a id="l00408" name="l00408"></a><span class="lineno"> 408</span> </div>
<div class="line"><a id="l00412" name="l00412"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#a8283c0c90fd281eced10c2c596032509"> 412</a></span> RealScalar <a class="code hl_function" href="classEigen_1_1FullPivHouseholderQR.html#a8283c0c90fd281eced10c2c596032509">maxPivot</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_maxpivot; }</div>
<div class="line"><a id="l00413" name="l00413"></a><span class="lineno"> 413</span> </div>
<div class="line"><a id="l00414" name="l00414"></a><span class="lineno"> 414</span><span class="preprocessor"> #ifndef EIGEN_PARSED_BY_DOXYGEN</span></div>
<div class="line"><a id="l00415" name="l00415"></a><span class="lineno"> 415</span> <span class="keyword">template</span><<span class="keyword">typename</span> RhsType, <span class="keyword">typename</span> DstType></div>
<div class="line"><a id="l00416" name="l00416"></a><span class="lineno"> 416</span> <span class="keywordtype">void</span> _solve_impl(<span class="keyword">const</span> RhsType &rhs, DstType &dst) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00417" name="l00417"></a><span class="lineno"> 417</span> </div>
<div class="line"><a id="l00418" name="l00418"></a><span class="lineno"> 418</span> <span class="keyword">template</span><<span class="keywordtype">bool</span> Conjugate, <span class="keyword">typename</span> RhsType, <span class="keyword">typename</span> DstType></div>
<div class="line"><a id="l00419" name="l00419"></a><span class="lineno"> 419</span> <span class="keywordtype">void</span> _solve_impl_transposed(<span class="keyword">const</span> RhsType &rhs, DstType &dst) <span class="keyword">const</span>;</div>
<div class="line"><a id="l00420" name="l00420"></a><span class="lineno"> 420</span><span class="preprocessor"> #endif</span></div>
<div class="line"><a id="l00421" name="l00421"></a><span class="lineno"> 421</span> </div>
<div class="line"><a id="l00422" name="l00422"></a><span class="lineno"> 422</span> <span class="keyword">protected</span>:</div>
<div class="line"><a id="l00423" name="l00423"></a><span class="lineno"> 423</span> </div>
<div class="line"><a id="l00424" name="l00424"></a><span class="lineno"> 424</span> EIGEN_STATIC_ASSERT_NON_INTEGER(Scalar)</div>
<div class="line"><a id="l00425" name="l00425"></a><span class="lineno"> 425</span> </div>
<div class="line"><a id="l00426" name="l00426"></a><span class="lineno"> 426</span> <span class="keywordtype">void</span> computeInPlace();</div>
<div class="line"><a id="l00427" name="l00427"></a><span class="lineno"> 427</span> </div>
<div class="line"><a id="l00428" name="l00428"></a><span class="lineno"> 428</span> MatrixType m_qr;</div>
<div class="line"><a id="l00429" name="l00429"></a><span class="lineno"> 429</span> HCoeffsType m_hCoeffs;</div>
<div class="line"><a id="l00430" name="l00430"></a><span class="lineno"> 430</span> IntDiagSizeVectorType m_rows_transpositions;</div>
<div class="line"><a id="l00431" name="l00431"></a><span class="lineno"> 431</span> IntDiagSizeVectorType m_cols_transpositions;</div>
<div class="line"><a id="l00432" name="l00432"></a><span class="lineno"> 432</span> PermutationType m_cols_permutation;</div>
<div class="line"><a id="l00433" name="l00433"></a><span class="lineno"> 433</span> RowVectorType m_temp;</div>
<div class="line"><a id="l00434" name="l00434"></a><span class="lineno"> 434</span> <span class="keywordtype">bool</span> m_isInitialized, m_usePrescribedThreshold;</div>
<div class="line"><a id="l00435" name="l00435"></a><span class="lineno"> 435</span> RealScalar m_prescribedThreshold, m_maxpivot;</div>
<div class="line"><a id="l00436" name="l00436"></a><span class="lineno"> 436</span> <a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> m_nonzero_pivots;</div>
<div class="line"><a id="l00437" name="l00437"></a><span class="lineno"> 437</span> RealScalar m_precision;</div>
<div class="line"><a id="l00438" name="l00438"></a><span class="lineno"> 438</span> <a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> m_det_p;</div>
<div class="line"><a id="l00439" name="l00439"></a><span class="lineno"> 439</span>};</div>
<div class="line"><a id="l00440" name="l00440"></a><span class="lineno"> 440</span> </div>
<div class="line"><a id="l00441" name="l00441"></a><span class="lineno"> 441</span><span class="keyword">template</span><<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> PermutationIndex></div>
<div class="line"><a id="l00442" name="l00442"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#a856ff1e233e779f1338171c248101665"> 442</a></span><span class="keyword">typename</span> MatrixType::Scalar <a class="code hl_class" href="classEigen_1_1FullPivHouseholderQR.html">FullPivHouseholderQR<MatrixType, PermutationIndex>::determinant</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00443" name="l00443"></a><span class="lineno"> 443</span><span class="keyword"></span>{</div>
<div class="line"><a id="l00444" name="l00444"></a><span class="lineno"> 444</span> eigen_assert(m_isInitialized && <span class="stringliteral">"HouseholderQR is not initialized."</span>);</div>
<div class="line"><a id="l00445" name="l00445"></a><span class="lineno"> 445</span> eigen_assert(m_qr.rows() == m_qr.cols() && <span class="stringliteral">"You can't take the determinant of a non-square matrix!"</span>);</div>
<div class="line"><a id="l00446" name="l00446"></a><span class="lineno"> 446</span> Scalar detQ;</div>
<div class="line"><a id="l00447" name="l00447"></a><span class="lineno"> 447</span> internal::householder_determinant<HCoeffsType, Scalar, NumTraits<Scalar>::IsComplex>::run(m_hCoeffs, detQ);</div>
<div class="line"><a id="l00448" name="l00448"></a><span class="lineno"> 448</span> <span class="keywordflow">return</span> m_qr.diagonal().prod() * detQ * Scalar(m_det_p);</div>
<div class="line"><a id="l00449" name="l00449"></a><span class="lineno"> 449</span>}</div>
<div class="line"><a id="l00450" name="l00450"></a><span class="lineno"> 450</span> </div>
<div class="line"><a id="l00451" name="l00451"></a><span class="lineno"> 451</span><span class="keyword">template</span><<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> PermutationIndex></div>
<div class="line"><a id="l00452" name="l00452"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#aaf5c2e5137b6bc13d5645038ae3a1570"> 452</a></span><span class="keyword">typename</span> MatrixType::RealScalar <a class="code hl_class" href="classEigen_1_1FullPivHouseholderQR.html">FullPivHouseholderQR<MatrixType, PermutationIndex>::absDeterminant</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00453" name="l00453"></a><span class="lineno"> 453</span><span class="keyword"></span>{</div>
<div class="line"><a id="l00454" name="l00454"></a><span class="lineno"> 454</span> <span class="keyword">using </span>std::abs;</div>
<div class="line"><a id="l00455" name="l00455"></a><span class="lineno"> 455</span> eigen_assert(m_isInitialized && <span class="stringliteral">"FullPivHouseholderQR is not initialized."</span>);</div>
<div class="line"><a id="l00456" name="l00456"></a><span class="lineno"> 456</span> eigen_assert(m_qr.rows() == m_qr.cols() && <span class="stringliteral">"You can't take the determinant of a non-square matrix!"</span>);</div>
<div class="line"><a id="l00457" name="l00457"></a><span class="lineno"> 457</span> <span class="keywordflow">return</span> abs(m_qr.diagonal().prod());</div>
<div class="line"><a id="l00458" name="l00458"></a><span class="lineno"> 458</span>}</div>
<div class="line"><a id="l00459" name="l00459"></a><span class="lineno"> 459</span> </div>
<div class="line"><a id="l00460" name="l00460"></a><span class="lineno"> 460</span><span class="keyword">template</span><<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> PermutationIndex></div>
<div class="line"><a id="l00461" name="l00461"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#a43ace5b01505d1a2190555a9f8b960c2"> 461</a></span><span class="keyword">typename</span> MatrixType::RealScalar <a class="code hl_class" href="classEigen_1_1FullPivHouseholderQR.html">FullPivHouseholderQR<MatrixType, PermutationIndex>::logAbsDeterminant</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00462" name="l00462"></a><span class="lineno"> 462</span><span class="keyword"></span>{</div>
<div class="line"><a id="l00463" name="l00463"></a><span class="lineno"> 463</span> eigen_assert(m_isInitialized && <span class="stringliteral">"FullPivHouseholderQR is not initialized."</span>);</div>
<div class="line"><a id="l00464" name="l00464"></a><span class="lineno"> 464</span> eigen_assert(m_qr.rows() == m_qr.cols() && <span class="stringliteral">"You can't take the determinant of a non-square matrix!"</span>);</div>
<div class="line"><a id="l00465" name="l00465"></a><span class="lineno"> 465</span> <span class="keywordflow">return</span> m_qr.diagonal().cwiseAbs().array().log().sum();</div>
<div class="line"><a id="l00466" name="l00466"></a><span class="lineno"> 466</span>}</div>
<div class="line"><a id="l00467" name="l00467"></a><span class="lineno"> 467</span> </div>
<div class="line"><a id="l00474" name="l00474"></a><span class="lineno"> 474</span><span class="keyword">template</span><<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> PermutationIndex></div>
<div class="line"><a id="l00475" name="l00475"></a><span class="lineno"> 475</span><span class="keyword">template</span><<span class="keyword">typename</span> InputType></div>
<div class="line"><a id="l00476" name="l00476"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#a121188d4e15282ec4e7b971ccb010176"> 476</a></span><a class="code hl_class" href="classEigen_1_1FullPivHouseholderQR.html">FullPivHouseholderQR<MatrixType, PermutationIndex></a>& <a class="code hl_class" href="classEigen_1_1FullPivHouseholderQR.html">FullPivHouseholderQR<MatrixType, PermutationIndex>::compute</a>(<span class="keyword">const</span> <a class="code hl_class" href="structEigen_1_1EigenBase.html">EigenBase<InputType></a>& matrix)</div>
<div class="line"><a id="l00477" name="l00477"></a><span class="lineno"> 477</span>{</div>
<div class="line"><a id="l00478" name="l00478"></a><span class="lineno"> 478</span> m_qr = matrix.<a class="code hl_function" href="structEigen_1_1EigenBase.html#a749b057c52245e486a101868d2578a24">derived</a>();</div>
<div class="line"><a id="l00479" name="l00479"></a><span class="lineno"> 479</span> computeInPlace();</div>
<div class="line"><a id="l00480" name="l00480"></a><span class="lineno"> 480</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00481" name="l00481"></a><span class="lineno"> 481</span>}</div>
<div class="line"><a id="l00482" name="l00482"></a><span class="lineno"> 482</span> </div>
<div class="line"><a id="l00483" name="l00483"></a><span class="lineno"> 483</span><span class="keyword">template</span><<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> PermutationIndex></div>
<div class="line"><a id="l00484" name="l00484"></a><span class="lineno"> 484</span><span class="keywordtype">void</span> <a class="code hl_class" href="classEigen_1_1FullPivHouseholderQR.html">FullPivHouseholderQR<MatrixType, PermutationIndex>::computeInPlace</a>()</div>
<div class="line"><a id="l00485" name="l00485"></a><span class="lineno"> 485</span>{</div>
<div class="line"><a id="l00486" name="l00486"></a><span class="lineno"> 486</span> eigen_assert(m_qr.cols() <= <a class="code hl_class" href="structEigen_1_1NumTraits.html">NumTraits<PermutationIndex>::highest</a>());</div>
<div class="line"><a id="l00487" name="l00487"></a><span class="lineno"> 487</span> <span class="keyword">using </span>std::abs;</div>
<div class="line"><a id="l00488" name="l00488"></a><span class="lineno"> 488</span> <a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> rows = m_qr.rows();</div>
<div class="line"><a id="l00489" name="l00489"></a><span class="lineno"> 489</span> <a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> cols = m_qr.cols();</div>
<div class="line"><a id="l00490" name="l00490"></a><span class="lineno"> 490</span> <a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> size = (std::min)(rows,cols);</div>
<div class="line"><a id="l00491" name="l00491"></a><span class="lineno"> 491</span> </div>
<div class="line"><a id="l00492" name="l00492"></a><span class="lineno"> 492</span> </div>
<div class="line"><a id="l00493" name="l00493"></a><span class="lineno"> 493</span> m_hCoeffs.resize(size);</div>
<div class="line"><a id="l00494" name="l00494"></a><span class="lineno"> 494</span> </div>
<div class="line"><a id="l00495" name="l00495"></a><span class="lineno"> 495</span> m_temp.resize(cols);</div>
<div class="line"><a id="l00496" name="l00496"></a><span class="lineno"> 496</span> </div>
<div class="line"><a id="l00497" name="l00497"></a><span class="lineno"> 497</span> m_precision = <a class="code hl_class" href="structEigen_1_1NumTraits.html">NumTraits<Scalar>::epsilon</a>() * RealScalar(size);</div>
<div class="line"><a id="l00498" name="l00498"></a><span class="lineno"> 498</span> </div>
<div class="line"><a id="l00499" name="l00499"></a><span class="lineno"> 499</span> m_rows_transpositions.resize(size);</div>
<div class="line"><a id="l00500" name="l00500"></a><span class="lineno"> 500</span> m_cols_transpositions.resize(size);</div>
<div class="line"><a id="l00501" name="l00501"></a><span class="lineno"> 501</span> <a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> number_of_transpositions = 0;</div>
<div class="line"><a id="l00502" name="l00502"></a><span class="lineno"> 502</span> </div>
<div class="line"><a id="l00503" name="l00503"></a><span class="lineno"> 503</span> RealScalar biggest(0);</div>
<div class="line"><a id="l00504" name="l00504"></a><span class="lineno"> 504</span> </div>
<div class="line"><a id="l00505" name="l00505"></a><span class="lineno"> 505</span> m_nonzero_pivots = size; <span class="comment">// the generic case is that in which all pivots are nonzero (invertible case)</span></div>
<div class="line"><a id="l00506" name="l00506"></a><span class="lineno"> 506</span> m_maxpivot = RealScalar(0);</div>
<div class="line"><a id="l00507" name="l00507"></a><span class="lineno"> 507</span> </div>
<div class="line"><a id="l00508" name="l00508"></a><span class="lineno"> 508</span> <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> k = 0; k < size; ++k)</div>
<div class="line"><a id="l00509" name="l00509"></a><span class="lineno"> 509</span> {</div>
<div class="line"><a id="l00510" name="l00510"></a><span class="lineno"> 510</span> <a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> row_of_biggest_in_corner, col_of_biggest_in_corner;</div>
<div class="line"><a id="l00511" name="l00511"></a><span class="lineno"> 511</span> <span class="keyword">typedef</span> internal::scalar_score_coeff_op<Scalar> Scoring;</div>
<div class="line"><a id="l00512" name="l00512"></a><span class="lineno"> 512</span> <span class="keyword">typedef</span> <span class="keyword">typename</span> Scoring::result_type Score;</div>
<div class="line"><a id="l00513" name="l00513"></a><span class="lineno"> 513</span> </div>
<div class="line"><a id="l00514" name="l00514"></a><span class="lineno"> 514</span> Score score = m_qr.bottomRightCorner(rows-k, cols-k)</div>
<div class="line"><a id="l00515" name="l00515"></a><span class="lineno"> 515</span> .unaryExpr(Scoring())</div>
<div class="line"><a id="l00516" name="l00516"></a><span class="lineno"> 516</span> .maxCoeff(&row_of_biggest_in_corner, &col_of_biggest_in_corner);</div>
<div class="line"><a id="l00517" name="l00517"></a><span class="lineno"> 517</span> row_of_biggest_in_corner += k;</div>
<div class="line"><a id="l00518" name="l00518"></a><span class="lineno"> 518</span> col_of_biggest_in_corner += k;</div>
<div class="line"><a id="l00519" name="l00519"></a><span class="lineno"> 519</span> RealScalar biggest_in_corner = internal::abs_knowing_score<Scalar>()(m_qr(row_of_biggest_in_corner, col_of_biggest_in_corner), score);</div>
<div class="line"><a id="l00520" name="l00520"></a><span class="lineno"> 520</span> <span class="keywordflow">if</span>(k==0) biggest = biggest_in_corner;</div>
<div class="line"><a id="l00521" name="l00521"></a><span class="lineno"> 521</span> </div>
<div class="line"><a id="l00522" name="l00522"></a><span class="lineno"> 522</span> <span class="comment">// if the corner is negligible, then we have less than full rank, and we can finish early</span></div>
<div class="line"><a id="l00523" name="l00523"></a><span class="lineno"> 523</span> <span class="keywordflow">if</span>(internal::isMuchSmallerThan(biggest_in_corner, biggest, m_precision))</div>
<div class="line"><a id="l00524" name="l00524"></a><span class="lineno"> 524</span> {</div>
<div class="line"><a id="l00525" name="l00525"></a><span class="lineno"> 525</span> m_nonzero_pivots = k;</div>
<div class="line"><a id="l00526" name="l00526"></a><span class="lineno"> 526</span> <span class="keywordflow">for</span>(<a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> i = k; i < size; i++)</div>
<div class="line"><a id="l00527" name="l00527"></a><span class="lineno"> 527</span> {</div>
<div class="line"><a id="l00528" name="l00528"></a><span class="lineno"> 528</span> m_rows_transpositions.coeffRef(i) = internal::convert_index<PermutationIndex>(i);</div>
<div class="line"><a id="l00529" name="l00529"></a><span class="lineno"> 529</span> m_cols_transpositions.coeffRef(i) = internal::convert_index<PermutationIndex>(i);</div>
<div class="line"><a id="l00530" name="l00530"></a><span class="lineno"> 530</span> m_hCoeffs.coeffRef(i) = Scalar(0);</div>
<div class="line"><a id="l00531" name="l00531"></a><span class="lineno"> 531</span> }</div>
<div class="line"><a id="l00532" name="l00532"></a><span class="lineno"> 532</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00533" name="l00533"></a><span class="lineno"> 533</span> }</div>
<div class="line"><a id="l00534" name="l00534"></a><span class="lineno"> 534</span> </div>
<div class="line"><a id="l00535" name="l00535"></a><span class="lineno"> 535</span> m_rows_transpositions.coeffRef(k) = internal::convert_index<PermutationIndex>(row_of_biggest_in_corner);</div>
<div class="line"><a id="l00536" name="l00536"></a><span class="lineno"> 536</span> m_cols_transpositions.coeffRef(k) = internal::convert_index<PermutationIndex>(col_of_biggest_in_corner);</div>
<div class="line"><a id="l00537" name="l00537"></a><span class="lineno"> 537</span> <span class="keywordflow">if</span>(k != row_of_biggest_in_corner) {</div>
<div class="line"><a id="l00538" name="l00538"></a><span class="lineno"> 538</span> m_qr.row(k).tail(cols-k).swap(m_qr.row(row_of_biggest_in_corner).tail(cols-k));</div>
<div class="line"><a id="l00539" name="l00539"></a><span class="lineno"> 539</span> ++number_of_transpositions;</div>
<div class="line"><a id="l00540" name="l00540"></a><span class="lineno"> 540</span> }</div>
<div class="line"><a id="l00541" name="l00541"></a><span class="lineno"> 541</span> <span class="keywordflow">if</span>(k != col_of_biggest_in_corner) {</div>
<div class="line"><a id="l00542" name="l00542"></a><span class="lineno"> 542</span> m_qr.col(k).swap(m_qr.col(col_of_biggest_in_corner));</div>
<div class="line"><a id="l00543" name="l00543"></a><span class="lineno"> 543</span> ++number_of_transpositions;</div>
<div class="line"><a id="l00544" name="l00544"></a><span class="lineno"> 544</span> }</div>
<div class="line"><a id="l00545" name="l00545"></a><span class="lineno"> 545</span> </div>
<div class="line"><a id="l00546" name="l00546"></a><span class="lineno"> 546</span> RealScalar beta;</div>
<div class="line"><a id="l00547" name="l00547"></a><span class="lineno"> 547</span> m_qr.col(k).tail(rows-k).makeHouseholderInPlace(m_hCoeffs.coeffRef(k), beta);</div>
<div class="line"><a id="l00548" name="l00548"></a><span class="lineno"> 548</span> m_qr.coeffRef(k,k) = beta;</div>
<div class="line"><a id="l00549" name="l00549"></a><span class="lineno"> 549</span> </div>
<div class="line"><a id="l00550" name="l00550"></a><span class="lineno"> 550</span> <span class="comment">// remember the maximum absolute value of diagonal coefficients</span></div>
<div class="line"><a id="l00551" name="l00551"></a><span class="lineno"> 551</span> <span class="keywordflow">if</span>(abs(beta) > m_maxpivot) m_maxpivot = abs(beta);</div>
<div class="line"><a id="l00552" name="l00552"></a><span class="lineno"> 552</span> </div>
<div class="line"><a id="l00553" name="l00553"></a><span class="lineno"> 553</span> m_qr.bottomRightCorner(rows-k, cols-k-1)</div>
<div class="line"><a id="l00554" name="l00554"></a><span class="lineno"> 554</span> .applyHouseholderOnTheLeft(m_qr.col(k).tail(rows-k-1), m_hCoeffs.coeffRef(k), &m_temp.coeffRef(k+1));</div>
<div class="line"><a id="l00555" name="l00555"></a><span class="lineno"> 555</span> }</div>
<div class="line"><a id="l00556" name="l00556"></a><span class="lineno"> 556</span> </div>
<div class="line"><a id="l00557" name="l00557"></a><span class="lineno"> 557</span> m_cols_permutation.setIdentity(cols);</div>
<div class="line"><a id="l00558" name="l00558"></a><span class="lineno"> 558</span> <span class="keywordflow">for</span>(Index k = 0; k < size; ++k)</div>
<div class="line"><a id="l00559" name="l00559"></a><span class="lineno"> 559</span> m_cols_permutation.applyTranspositionOnTheRight(k, m_cols_transpositions.coeff(k));</div>
<div class="line"><a id="l00560" name="l00560"></a><span class="lineno"> 560</span> </div>
<div class="line"><a id="l00561" name="l00561"></a><span class="lineno"> 561</span> m_det_p = (number_of_transpositions%2) ? -1 : 1;</div>
<div class="line"><a id="l00562" name="l00562"></a><span class="lineno"> 562</span> m_isInitialized = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00563" name="l00563"></a><span class="lineno"> 563</span>}</div>
<div class="line"><a id="l00564" name="l00564"></a><span class="lineno"> 564</span> </div>
<div class="line"><a id="l00565" name="l00565"></a><span class="lineno"> 565</span><span class="preprocessor">#ifndef EIGEN_PARSED_BY_DOXYGEN</span></div>
<div class="line"><a id="l00566" name="l00566"></a><span class="lineno"> 566</span><span class="keyword">template</span><<span class="keyword">typename</span> MatrixType_, <span class="keyword">typename</span> PermutationIndex_></div>
<div class="line"><a id="l00567" name="l00567"></a><span class="lineno"> 567</span><span class="keyword">template</span><<span class="keyword">typename</span> RhsType, <span class="keyword">typename</span> DstType></div>
<div class="line"><a id="l00568" name="l00568"></a><span class="lineno"> 568</span><span class="keywordtype">void</span> FullPivHouseholderQR<MatrixType_, PermutationIndex_>::_solve_impl(<span class="keyword">const</span> RhsType &rhs, DstType &dst)<span class="keyword"> const</span></div>
<div class="line"><a id="l00569" name="l00569"></a><span class="lineno"> 569</span><span class="keyword"></span>{</div>
<div class="line"><a id="l00570" name="l00570"></a><span class="lineno"> 570</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> l_rank = rank();</div>
<div class="line"><a id="l00571" name="l00571"></a><span class="lineno"> 571</span> </div>
<div class="line"><a id="l00572" name="l00572"></a><span class="lineno"> 572</span> <span class="comment">// FIXME introduce nonzeroPivots() and use it here. and more generally,</span></div>
<div class="line"><a id="l00573" name="l00573"></a><span class="lineno"> 573</span> <span class="comment">// make the same improvements in this dec as in FullPivLU.</span></div>
<div class="line"><a id="l00574" name="l00574"></a><span class="lineno"> 574</span> <span class="keywordflow">if</span>(l_rank==0)</div>
<div class="line"><a id="l00575" name="l00575"></a><span class="lineno"> 575</span> {</div>
<div class="line"><a id="l00576" name="l00576"></a><span class="lineno"> 576</span> dst.setZero();</div>
<div class="line"><a id="l00577" name="l00577"></a><span class="lineno"> 577</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00578" name="l00578"></a><span class="lineno"> 578</span> }</div>
<div class="line"><a id="l00579" name="l00579"></a><span class="lineno"> 579</span> </div>
<div class="line"><a id="l00580" name="l00580"></a><span class="lineno"> 580</span> <span class="keyword">typename</span> RhsType::PlainObject c(rhs);</div>
<div class="line"><a id="l00581" name="l00581"></a><span class="lineno"> 581</span> </div>
<div class="line"><a id="l00582" name="l00582"></a><span class="lineno"> 582</span> Matrix<typename RhsType::Scalar,1,RhsType::ColsAtCompileTime> temp(rhs.cols());</div>
<div class="line"><a id="l00583" name="l00583"></a><span class="lineno"> 583</span> <span class="keywordflow">for</span> (Index k = 0; k < l_rank; ++k)</div>
<div class="line"><a id="l00584" name="l00584"></a><span class="lineno"> 584</span> {</div>
<div class="line"><a id="l00585" name="l00585"></a><span class="lineno"> 585</span> <a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> remainingSize = rows()-k;</div>
<div class="line"><a id="l00586" name="l00586"></a><span class="lineno"> 586</span> c.row(k).swap(c.row(m_rows_transpositions.coeff(k)));</div>
<div class="line"><a id="l00587" name="l00587"></a><span class="lineno"> 587</span> c.bottomRightCorner(remainingSize, rhs.cols())</div>
<div class="line"><a id="l00588" name="l00588"></a><span class="lineno"> 588</span> .applyHouseholderOnTheLeft(m_qr.col(k).tail(remainingSize-1),</div>
<div class="line"><a id="l00589" name="l00589"></a><span class="lineno"> 589</span> m_hCoeffs.coeff(k), &temp.coeffRef(0));</div>
<div class="line"><a id="l00590" name="l00590"></a><span class="lineno"> 590</span> }</div>
<div class="line"><a id="l00591" name="l00591"></a><span class="lineno"> 591</span> </div>
<div class="line"><a id="l00592" name="l00592"></a><span class="lineno"> 592</span> m_qr.topLeftCorner(l_rank, l_rank)</div>
<div class="line"><a id="l00593" name="l00593"></a><span class="lineno"> 593</span> .template triangularView<Upper>()</div>
<div class="line"><a id="l00594" name="l00594"></a><span class="lineno"> 594</span> .solveInPlace(c.topRows(l_rank));</div>
<div class="line"><a id="l00595" name="l00595"></a><span class="lineno"> 595</span> </div>
<div class="line"><a id="l00596" name="l00596"></a><span class="lineno"> 596</span> <span class="keywordflow">for</span>(Index i = 0; i < l_rank; ++i) dst.row(m_cols_permutation.indices().coeff(i)) = c.row(i);</div>
<div class="line"><a id="l00597" name="l00597"></a><span class="lineno"> 597</span> <span class="keywordflow">for</span>(Index i = l_rank; i < cols(); ++i) dst.row(m_cols_permutation.indices().coeff(i)).setZero();</div>
<div class="line"><a id="l00598" name="l00598"></a><span class="lineno"> 598</span>}</div>
<div class="line"><a id="l00599" name="l00599"></a><span class="lineno"> 599</span> </div>
<div class="line"><a id="l00600" name="l00600"></a><span class="lineno"> 600</span><span class="keyword">template</span><<span class="keyword">typename</span> MatrixType_, <span class="keyword">typename</span> PermutationIndex_></div>
<div class="line"><a id="l00601" name="l00601"></a><span class="lineno"> 601</span><span class="keyword">template</span><<span class="keywordtype">bool</span> Conjugate, <span class="keyword">typename</span> RhsType, <span class="keyword">typename</span> DstType></div>
<div class="line"><a id="l00602" name="l00602"></a><span class="lineno"> 602</span><span class="keywordtype">void</span> FullPivHouseholderQR<MatrixType_, PermutationIndex_>::_solve_impl_transposed(<span class="keyword">const</span> RhsType &rhs, DstType &dst)<span class="keyword"> const</span></div>
<div class="line"><a id="l00603" name="l00603"></a><span class="lineno"> 603</span><span class="keyword"></span>{</div>
<div class="line"><a id="l00604" name="l00604"></a><span class="lineno"> 604</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> l_rank = rank();</div>
<div class="line"><a id="l00605" name="l00605"></a><span class="lineno"> 605</span> </div>
<div class="line"><a id="l00606" name="l00606"></a><span class="lineno"> 606</span> <span class="keywordflow">if</span>(l_rank == 0)</div>
<div class="line"><a id="l00607" name="l00607"></a><span class="lineno"> 607</span> {</div>
<div class="line"><a id="l00608" name="l00608"></a><span class="lineno"> 608</span> dst.setZero();</div>
<div class="line"><a id="l00609" name="l00609"></a><span class="lineno"> 609</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00610" name="l00610"></a><span class="lineno"> 610</span> }</div>
<div class="line"><a id="l00611" name="l00611"></a><span class="lineno"> 611</span> </div>
<div class="line"><a id="l00612" name="l00612"></a><span class="lineno"> 612</span> <span class="keyword">typename</span> RhsType::PlainObject c(m_cols_permutation.transpose()*rhs);</div>
<div class="line"><a id="l00613" name="l00613"></a><span class="lineno"> 613</span> </div>
<div class="line"><a id="l00614" name="l00614"></a><span class="lineno"> 614</span> m_qr.topLeftCorner(l_rank, l_rank)</div>
<div class="line"><a id="l00615" name="l00615"></a><span class="lineno"> 615</span> .template triangularView<Upper>()</div>
<div class="line"><a id="l00616" name="l00616"></a><span class="lineno"> 616</span> .transpose().template conjugateIf<Conjugate>()</div>
<div class="line"><a id="l00617" name="l00617"></a><span class="lineno"> 617</span> .solveInPlace(c.topRows(l_rank));</div>
<div class="line"><a id="l00618" name="l00618"></a><span class="lineno"> 618</span> </div>
<div class="line"><a id="l00619" name="l00619"></a><span class="lineno"> 619</span> dst.topRows(l_rank) = c.topRows(l_rank);</div>
<div class="line"><a id="l00620" name="l00620"></a><span class="lineno"> 620</span> dst.bottomRows(rows()-l_rank).setZero();</div>
<div class="line"><a id="l00621" name="l00621"></a><span class="lineno"> 621</span> </div>
<div class="line"><a id="l00622" name="l00622"></a><span class="lineno"> 622</span> Matrix<Scalar, 1, DstType::ColsAtCompileTime> temp(dst.cols());</div>
<div class="line"><a id="l00623" name="l00623"></a><span class="lineno"> 623</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> size = (std::min)(rows(), cols());</div>
<div class="line"><a id="l00624" name="l00624"></a><span class="lineno"> 624</span> <span class="keywordflow">for</span> (Index k = size-1; k >= 0; --k)</div>
<div class="line"><a id="l00625" name="l00625"></a><span class="lineno"> 625</span> {</div>
<div class="line"><a id="l00626" name="l00626"></a><span class="lineno"> 626</span> <a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> remainingSize = rows()-k;</div>
<div class="line"><a id="l00627" name="l00627"></a><span class="lineno"> 627</span> </div>
<div class="line"><a id="l00628" name="l00628"></a><span class="lineno"> 628</span> dst.bottomRightCorner(remainingSize, dst.cols())</div>
<div class="line"><a id="l00629" name="l00629"></a><span class="lineno"> 629</span> .applyHouseholderOnTheLeft(m_qr.col(k).tail(remainingSize-1).template conjugateIf<!Conjugate>(),</div>
<div class="line"><a id="l00630" name="l00630"></a><span class="lineno"> 630</span> m_hCoeffs.template conjugateIf<Conjugate>().coeff(k), &temp.coeffRef(0));</div>
<div class="line"><a id="l00631" name="l00631"></a><span class="lineno"> 631</span> </div>
<div class="line"><a id="l00632" name="l00632"></a><span class="lineno"> 632</span> dst.row(k).swap(dst.row(m_rows_transpositions.coeff(k)));</div>
<div class="line"><a id="l00633" name="l00633"></a><span class="lineno"> 633</span> }</div>
<div class="line"><a id="l00634" name="l00634"></a><span class="lineno"> 634</span>}</div>
<div class="line"><a id="l00635" name="l00635"></a><span class="lineno"> 635</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00636" name="l00636"></a><span class="lineno"> 636</span> </div>
<div class="line"><a id="l00637" name="l00637"></a><span class="lineno"> 637</span><span class="keyword">namespace </span>internal {</div>
<div class="line"><a id="l00638" name="l00638"></a><span class="lineno"> 638</span> </div>
<div class="line"><a id="l00639" name="l00639"></a><span class="lineno"> 639</span><span class="keyword">template</span><<span class="keyword">typename</span> DstXprType, <span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> PermutationIndex></div>
<div class="line"><a id="l00640" name="l00640"></a><span class="lineno"> 640</span><span class="keyword">struct </span>Assignment<DstXprType, Inverse<FullPivHouseholderQR<MatrixType, PermutationIndex> >, internal::assign_op<typename DstXprType::Scalar,typename FullPivHouseholderQR<MatrixType, PermutationIndex>::Scalar>, Dense2Dense></div>
<div class="line"><a id="l00641" name="l00641"></a><span class="lineno"> 641</span>{</div>
<div class="line"><a id="l00642" name="l00642"></a><span class="lineno"> 642</span> <span class="keyword">typedef</span> FullPivHouseholderQR<MatrixType, PermutationIndex> QrType;</div>
<div class="line"><a id="l00643" name="l00643"></a><span class="lineno"> 643</span> <span class="keyword">typedef</span> Inverse<QrType> SrcXprType;</div>
<div class="line"><a id="l00644" name="l00644"></a><span class="lineno"> 644</span> <span class="keyword">static</span> <span class="keywordtype">void</span> run(DstXprType &dst, <span class="keyword">const</span> SrcXprType &src, <span class="keyword">const</span> internal::assign_op<typename DstXprType::Scalar,typename QrType::Scalar> &)</div>
<div class="line"><a id="l00645" name="l00645"></a><span class="lineno"> 645</span> { </div>
<div class="line"><a id="l00646" name="l00646"></a><span class="lineno"> 646</span> dst = src.nestedExpression().<a class="code hl_function" href="classEigen_1_1SolverBase.html#a943c352b597e3cd4744d5c11bfd77520">solve</a>(MatrixType::Identity(src.rows(), src.cols()));</div>
<div class="line"><a id="l00647" name="l00647"></a><span class="lineno"> 647</span> }</div>
<div class="line"><a id="l00648" name="l00648"></a><span class="lineno"> 648</span>};</div>
<div class="line"><a id="l00649" name="l00649"></a><span class="lineno"> 649</span> </div>
<div class="line"><a id="l00656" name="l00656"></a><span class="lineno"> 656</span><span class="keyword">template</span><<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> PermutationIndex> <span class="keyword">struct </span>FullPivHouseholderQRMatrixQReturnType</div>
<div class="line"><a id="l00657" name="l00657"></a><span class="lineno"> 657</span> : <span class="keyword">public</span> ReturnByValue<FullPivHouseholderQRMatrixQReturnType<MatrixType, PermutationIndex> ></div>
<div class="line"><a id="l00658" name="l00658"></a><span class="lineno"> 658</span>{</div>
<div class="line"><a id="l00659" name="l00659"></a><span class="lineno"> 659</span><span class="keyword">public</span>:</div>
<div class="line"><a id="l00660" name="l00660"></a><span class="lineno"> 660</span> <span class="keyword">typedef</span> <span class="keyword">typename</span> FullPivHouseholderQR<MatrixType, PermutationIndex>::IntDiagSizeVectorType IntDiagSizeVectorType;</div>
<div class="line"><a id="l00661" name="l00661"></a><span class="lineno"> 661</span> <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::plain_diag_type<MatrixType>::type HCoeffsType;</div>
<div class="line"><a id="l00662" name="l00662"></a><span class="lineno"> 662</span> <span class="keyword">typedef</span> Matrix<<span class="keyword">typename</span> MatrixType::Scalar, 1, MatrixType::RowsAtCompileTime, <a class="code hl_enumvalue" href="group__enums.html#ggaacded1a18ae58b0f554751f6cdf9eb13a77c993a8d9f6efe5c1159fb2ab07dd4f">RowMajor</a>, 1,</div>
<div class="line"><a id="l00663" name="l00663"></a><span class="lineno"> 663</span> MatrixType::MaxRowsAtCompileTime> WorkVectorType;</div>
<div class="line"><a id="l00664" name="l00664"></a><span class="lineno"> 664</span> </div>
<div class="line"><a id="l00665" name="l00665"></a><span class="lineno"> 665</span> FullPivHouseholderQRMatrixQReturnType(<span class="keyword">const</span> MatrixType& qr,</div>
<div class="line"><a id="l00666" name="l00666"></a><span class="lineno"> 666</span> <span class="keyword">const</span> HCoeffsType& hCoeffs,</div>
<div class="line"><a id="l00667" name="l00667"></a><span class="lineno"> 667</span> <span class="keyword">const</span> IntDiagSizeVectorType& rowsTranspositions)</div>
<div class="line"><a id="l00668" name="l00668"></a><span class="lineno"> 668</span> : m_qr(qr),</div>
<div class="line"><a id="l00669" name="l00669"></a><span class="lineno"> 669</span> m_hCoeffs(hCoeffs),</div>
<div class="line"><a id="l00670" name="l00670"></a><span class="lineno"> 670</span> m_rowsTranspositions(rowsTranspositions)</div>
<div class="line"><a id="l00671" name="l00671"></a><span class="lineno"> 671</span> {}</div>
<div class="line"><a id="l00672" name="l00672"></a><span class="lineno"> 672</span> </div>
<div class="line"><a id="l00673" name="l00673"></a><span class="lineno"> 673</span> <span class="keyword">template</span> <<span class="keyword">typename</span> ResultType></div>
<div class="line"><a id="l00674" name="l00674"></a><span class="lineno"> 674</span> <span class="keywordtype">void</span> evalTo(ResultType& result)<span class="keyword"> const</span></div>
<div class="line"><a id="l00675" name="l00675"></a><span class="lineno"> 675</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00676" name="l00676"></a><span class="lineno"> 676</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> rows = m_qr.rows();</div>
<div class="line"><a id="l00677" name="l00677"></a><span class="lineno"> 677</span> WorkVectorType workspace(rows);</div>
<div class="line"><a id="l00678" name="l00678"></a><span class="lineno"> 678</span> evalTo(result, workspace);</div>
<div class="line"><a id="l00679" name="l00679"></a><span class="lineno"> 679</span> }</div>
<div class="line"><a id="l00680" name="l00680"></a><span class="lineno"> 680</span> </div>
<div class="line"><a id="l00681" name="l00681"></a><span class="lineno"> 681</span> <span class="keyword">template</span> <<span class="keyword">typename</span> ResultType></div>
<div class="line"><a id="l00682" name="l00682"></a><span class="lineno"> 682</span> <span class="keywordtype">void</span> evalTo(ResultType& result, WorkVectorType& workspace)<span class="keyword"> const</span></div>
<div class="line"><a id="l00683" name="l00683"></a><span class="lineno"> 683</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00684" name="l00684"></a><span class="lineno"> 684</span> <span class="keyword">using </span>numext::conj;</div>
<div class="line"><a id="l00685" name="l00685"></a><span class="lineno"> 685</span> <span class="comment">// compute the product H'_0 H'_1 ... H'_n-1,</span></div>
<div class="line"><a id="l00686" name="l00686"></a><span class="lineno"> 686</span> <span class="comment">// where H_k is the k-th Householder transformation I - h_k v_k v_k'</span></div>
<div class="line"><a id="l00687" name="l00687"></a><span class="lineno"> 687</span> <span class="comment">// and v_k is the k-th Householder vector [1,m_qr(k+1,k), m_qr(k+2,k), ...]</span></div>
<div class="line"><a id="l00688" name="l00688"></a><span class="lineno"> 688</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> rows = m_qr.rows();</div>
<div class="line"><a id="l00689" name="l00689"></a><span class="lineno"> 689</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> cols = m_qr.cols();</div>
<div class="line"><a id="l00690" name="l00690"></a><span class="lineno"> 690</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> size = (std::min)(rows, cols);</div>
<div class="line"><a id="l00691" name="l00691"></a><span class="lineno"> 691</span> workspace.resize(rows);</div>
<div class="line"><a id="l00692" name="l00692"></a><span class="lineno"> 692</span> result.setIdentity(rows, rows);</div>
<div class="line"><a id="l00693" name="l00693"></a><span class="lineno"> 693</span> <span class="keywordflow">for</span> (<a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> k = size-1; k >= 0; k--)</div>
<div class="line"><a id="l00694" name="l00694"></a><span class="lineno"> 694</span> {</div>
<div class="line"><a id="l00695" name="l00695"></a><span class="lineno"> 695</span> result.block(k, k, rows-k, rows-k)</div>
<div class="line"><a id="l00696" name="l00696"></a><span class="lineno"> 696</span> .applyHouseholderOnTheLeft(m_qr.col(k).tail(rows-k-1), <a class="code hl_function" href="namespaceEigen.html#a2d4af43bc6a869e68a60c0adde1d26f6">conj</a>(m_hCoeffs.coeff(k)), &workspace.coeffRef(k));</div>
<div class="line"><a id="l00697" name="l00697"></a><span class="lineno"> 697</span> result.row(k).swap(result.row(m_rowsTranspositions.coeff(k)));</div>
<div class="line"><a id="l00698" name="l00698"></a><span class="lineno"> 698</span> }</div>
<div class="line"><a id="l00699" name="l00699"></a><span class="lineno"> 699</span> }</div>
<div class="line"><a id="l00700" name="l00700"></a><span class="lineno"> 700</span> </div>
<div class="line"><a id="l00701" name="l00701"></a><span class="lineno"> 701</span> <a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> rows()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_qr.rows(); }</div>
<div class="line"><a id="l00702" name="l00702"></a><span class="lineno"> 702</span> <a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> cols()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_qr.rows(); }</div>
<div class="line"><a id="l00703" name="l00703"></a><span class="lineno"> 703</span> </div>
<div class="line"><a id="l00704" name="l00704"></a><span class="lineno"> 704</span><span class="keyword">protected</span>:</div>
<div class="line"><a id="l00705" name="l00705"></a><span class="lineno"> 705</span> <span class="keyword">typename</span> MatrixType::Nested m_qr;</div>
<div class="line"><a id="l00706" name="l00706"></a><span class="lineno"> 706</span> <span class="keyword">typename</span> HCoeffsType::Nested m_hCoeffs;</div>
<div class="line"><a id="l00707" name="l00707"></a><span class="lineno"> 707</span> <span class="keyword">typename</span> IntDiagSizeVectorType::Nested m_rowsTranspositions;</div>
<div class="line"><a id="l00708" name="l00708"></a><span class="lineno"> 708</span>};</div>
<div class="line"><a id="l00709" name="l00709"></a><span class="lineno"> 709</span> </div>
<div class="line"><a id="l00710" name="l00710"></a><span class="lineno"> 710</span><span class="comment">// template<typename MatrixType></span></div>
<div class="line"><a id="l00711" name="l00711"></a><span class="lineno"> 711</span><span class="comment">// struct evaluator<FullPivHouseholderQRMatrixQReturnType<MatrixType> ></span></div>
<div class="line"><a id="l00712" name="l00712"></a><span class="lineno"> 712</span><span class="comment">// : public evaluator<ReturnByValue<FullPivHouseholderQRMatrixQReturnType<MatrixType> > ></span></div>
<div class="line"><a id="l00713" name="l00713"></a><span class="lineno"> 713</span><span class="comment">// {};</span></div>
<div class="line"><a id="l00714" name="l00714"></a><span class="lineno"> 714</span> </div>
<div class="line"><a id="l00715" name="l00715"></a><span class="lineno"> 715</span>} <span class="comment">// end namespace internal</span></div>
<div class="line"><a id="l00716" name="l00716"></a><span class="lineno"> 716</span> </div>
<div class="line"><a id="l00717" name="l00717"></a><span class="lineno"> 717</span><span class="keyword">template</span><<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> PermutationIndex></div>
<div class="line"><a id="l00718" name="l00718"></a><span class="lineno"><a class="line" href="classEigen_1_1FullPivHouseholderQR.html#a2330d48a46150c5ad1a27f9fc9d73058"> 718</a></span><span class="keyword">inline</span> <span class="keyword">typename</span> FullPivHouseholderQR<MatrixType, PermutationIndex>::MatrixQReturnType <a class="code hl_class" href="classEigen_1_1FullPivHouseholderQR.html">FullPivHouseholderQR<MatrixType, PermutationIndex>::matrixQ</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00719" name="l00719"></a><span class="lineno"> 719</span><span class="keyword"></span>{</div>
<div class="line"><a id="l00720" name="l00720"></a><span class="lineno"> 720</span> eigen_assert(m_isInitialized && <span class="stringliteral">"FullPivHouseholderQR is not initialized."</span>);</div>
<div class="line"><a id="l00721" name="l00721"></a><span class="lineno"> 721</span> <span class="keywordflow">return</span> MatrixQReturnType(m_qr, m_hCoeffs, m_rows_transpositions);</div>
<div class="line"><a id="l00722" name="l00722"></a><span class="lineno"> 722</span>}</div>
<div class="line"><a id="l00723" name="l00723"></a><span class="lineno"> 723</span> </div>
<div class="line"><a id="l00728" name="l00728"></a><span class="lineno"> 728</span><span class="keyword">template</span><<span class="keyword">typename</span> Derived></div>
<div class="line"><a id="l00729" name="l00729"></a><span class="lineno"> 729</span><span class="keyword">template</span><<span class="keyword">typename</span> PermutationIndex></div>
<div class="line"><a id="l00730" name="l00730"></a><span class="lineno"> 730</span><span class="keyword">const</span> <a class="code hl_class" href="classEigen_1_1FullPivHouseholderQR.html">FullPivHouseholderQR<typename MatrixBase<Derived>::PlainObject</a>, PermutationIndex></div>
<div class="line"><a id="l00731" name="l00731"></a><span class="lineno"><a class="line" href="classEigen_1_1MatrixBase.html#a7adb586600e907c317e46b9015a752ae"> 731</a></span><a class="code hl_class" href="classEigen_1_1MatrixBase.html">MatrixBase<Derived>::fullPivHouseholderQr</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00732" name="l00732"></a><span class="lineno"> 732</span><span class="keyword"></span>{</div>
<div class="line"><a id="l00733" name="l00733"></a><span class="lineno"> 733</span> <span class="keywordflow">return</span> <a class="code hl_class" href="classEigen_1_1FullPivHouseholderQR.html">FullPivHouseholderQR<PlainObject, PermutationIndex></a>(eval());</div>
<div class="line"><a id="l00734" name="l00734"></a><span class="lineno"> 734</span>}</div>
<div class="line"><a id="l00735" name="l00735"></a><span class="lineno"> 735</span> </div>
<div class="line"><a id="l00736" name="l00736"></a><span class="lineno"> 736</span>} <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a id="l00737" name="l00737"></a><span class="lineno"> 737</span> </div>
<div class="line"><a id="l00738" name="l00738"></a><span class="lineno"> 738</span><span class="preprocessor">#endif </span><span class="comment">// EIGEN_FULLPIVOTINGHOUSEHOLDERQR_H</span></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html">Eigen::FullPivHouseholderQR</a></div><div class="ttdoc">Householder rank-revealing QR decomposition of a matrix with full pivoting.</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:64</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_a0be7ba95ab964938674607f101d17de5"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#a0be7ba95ab964938674607f101d17de5">Eigen::FullPivHouseholderQR::setThreshold</a></div><div class="ttdeci">FullPivHouseholderQR & setThreshold(const RealScalar &threshold)</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:362</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_a1119cad7adc6395c6090b6520270d66f"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#a1119cad7adc6395c6090b6520270d66f">Eigen::FullPivHouseholderQR::dimensionOfKernel</a></div><div class="ttdeci">Index dimensionOfKernel() const</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:281</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_a17b946dd570cb1a67a69a9a007614aac"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#a17b946dd570cb1a67a69a9a007614aac">Eigen::FullPivHouseholderQR::matrixQR</a></div><div class="ttdeci">const MatrixType & matrixQR() const</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:191</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_a20d0cfd9d10ae98e210afb6e92125020"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#a20d0cfd9d10ae98e210afb6e92125020">Eigen::FullPivHouseholderQR::solve</a></div><div class="ttdeci">const Solve< FullPivHouseholderQR, Rhs > solve(const MatrixBase< Rhs > &b) const</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_a2330d48a46150c5ad1a27f9fc9d73058"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#a2330d48a46150c5ad1a27f9fc9d73058">Eigen::FullPivHouseholderQR::matrixQ</a></div><div class="ttdeci">MatrixQReturnType matrixQ(void) const</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:718</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_a317ca39adde3c9e86c37e0a1b41af972"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#a317ca39adde3c9e86c37e0a1b41af972">Eigen::FullPivHouseholderQR::setThreshold</a></div><div class="ttdeci">FullPivHouseholderQR & setThreshold(Default_t)</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:377</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_a3368eb45044d2fa79c5c7fb89d39e45d"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#a3368eb45044d2fa79c5c7fb89d39e45d">Eigen::FullPivHouseholderQR::isInjective</a></div><div class="ttdeci">bool isInjective() const</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:294</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_a3cd6c1f8ddc5419ea58333993df4117b"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#a3cd6c1f8ddc5419ea58333993df4117b">Eigen::FullPivHouseholderQR::isInvertible</a></div><div class="ttdeci">bool isInvertible() const</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:319</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_a43ace5b01505d1a2190555a9f8b960c2"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#a43ace5b01505d1a2190555a9f8b960c2">Eigen::FullPivHouseholderQR::logAbsDeterminant</a></div><div class="ttdeci">MatrixType::RealScalar logAbsDeterminant() const</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:461</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_a487fd1d8497d19d7c46214eeec2388a1"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#a487fd1d8497d19d7c46214eeec2388a1">Eigen::FullPivHouseholderQR::rank</a></div><div class="ttdeci">Index rank() const</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:264</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_a4c3c0223d179841636b07eaca35c8190"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#a4c3c0223d179841636b07eaca35c8190">Eigen::FullPivHouseholderQR::colsPermutation</a></div><div class="ttdeci">const PermutationType & colsPermutation() const</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:201</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_a73901ddb5be695078667791abd2a2055"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#a73901ddb5be695078667791abd2a2055">Eigen::FullPivHouseholderQR::isSurjective</a></div><div class="ttdeci">bool isSurjective() const</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:307</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_a79be5f78985ed122b9c1adeb195bce44"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#a79be5f78985ed122b9c1adeb195bce44">Eigen::FullPivHouseholderQR::rowsTranspositions</a></div><div class="ttdeci">const IntDiagSizeVectorType & rowsTranspositions() const</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:208</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_a8283c0c90fd281eced10c2c596032509"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#a8283c0c90fd281eced10c2c596032509">Eigen::FullPivHouseholderQR::maxPivot</a></div><div class="ttdeci">RealScalar maxPivot() const</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:412</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_a856ff1e233e779f1338171c248101665"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#a856ff1e233e779f1338171c248101665">Eigen::FullPivHouseholderQR::determinant</a></div><div class="ttdeci">MatrixType::Scalar determinant() const</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:442</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_a8a71b444454248ba31fdd1e03c2afca2"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#a8a71b444454248ba31fdd1e03c2afca2">Eigen::FullPivHouseholderQR::FullPivHouseholderQR</a></div><div class="ttdeci">FullPivHouseholderQR()</div><div class="ttdoc">Default Constructor.</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:92</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_a8d70b9b3a4c3487380fd8ac2f583507b"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#a8d70b9b3a4c3487380fd8ac2f583507b">Eigen::FullPivHouseholderQR::hCoeffs</a></div><div class="ttdeci">const HCoeffsType & hCoeffs() const</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:343</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_aaf5c2e5137b6bc13d5645038ae3a1570"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#aaf5c2e5137b6bc13d5645038ae3a1570">Eigen::FullPivHouseholderQR::absDeterminant</a></div><div class="ttdeci">MatrixType::RealScalar absDeterminant() const</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:452</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_ab1267d6bdc984f47a6606549096e43ca"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#ab1267d6bdc984f47a6606549096e43ca">Eigen::FullPivHouseholderQR::FullPivHouseholderQR</a></div><div class="ttdeci">FullPivHouseholderQR(Index rows, Index cols)</div><div class="ttdoc">Default Constructor with memory preallocation.</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:108</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_ac905a17cc0d05bd7495d32752b5cfc2c"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#ac905a17cc0d05bd7495d32752b5cfc2c">Eigen::FullPivHouseholderQR::FullPivHouseholderQR</a></div><div class="ttdeci">FullPivHouseholderQR(const EigenBase< InputType > &matrix)</div><div class="ttdoc">Constructs a QR factorization from a given matrix.</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:131</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_acc38360d60f16fbc527d0d251be61f21"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#acc38360d60f16fbc527d0d251be61f21">Eigen::FullPivHouseholderQR::inverse</a></div><div class="ttdeci">const Inverse< FullPivHouseholderQR > inverse() const</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:330</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_ada717b351977b2b6e164fc7a5c39a684"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#ada717b351977b2b6e164fc7a5c39a684">Eigen::FullPivHouseholderQR::FullPivHouseholderQR</a></div><div class="ttdeci">FullPivHouseholderQR(EigenBase< InputType > &matrix)</div><div class="ttdoc">Constructs a QR factorization from a given matrix.</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:151</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_af8cb75540eb91d240478f6ecfb2fc0eb"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#af8cb75540eb91d240478f6ecfb2fc0eb">Eigen::FullPivHouseholderQR::nonzeroPivots</a></div><div class="ttdeci">Index nonzeroPivots() const</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:403</div></div>
<div class="ttc" id="aclassEigen_1_1FullPivHouseholderQR_html_afb017cb8869773a4d6beaf2909fa0f84"><div class="ttname"><a href="classEigen_1_1FullPivHouseholderQR.html#afb017cb8869773a4d6beaf2909fa0f84">Eigen::FullPivHouseholderQR::threshold</a></div><div class="ttdeci">RealScalar threshold() const</div><div class="ttdef"><b>Definition</b> FullPivHouseholderQR.h:387</div></div>
<div class="ttc" id="aclassEigen_1_1Inverse_html"><div class="ttname"><a href="classEigen_1_1Inverse.html">Eigen::Inverse</a></div><div class="ttdoc">Expression of the inverse of another expression.</div><div class="ttdef"><b>Definition</b> Inverse.h:46</div></div>
<div class="ttc" id="aclassEigen_1_1MatrixBase_html"><div class="ttname"><a href="classEigen_1_1MatrixBase.html">Eigen::MatrixBase</a></div><div class="ttdoc">Base class for all dense matrices, vectors, and expressions.</div><div class="ttdef"><b>Definition</b> MatrixBase.h:52</div></div>
<div class="ttc" id="aclassEigen_1_1Matrix_html"><div class="ttname"><a href="classEigen_1_1Matrix.html">Eigen::Matrix</a></div><div class="ttdoc">The matrix class, also used for vectors and row-vectors.</div><div class="ttdef"><b>Definition</b> Matrix.h:182</div></div>
<div class="ttc" id="aclassEigen_1_1PermutationMatrix_html"><div class="ttname"><a href="classEigen_1_1PermutationMatrix.html">Eigen::PermutationMatrix</a></div><div class="ttdoc">Permutation matrix.</div><div class="ttdef"><b>Definition</b> PermutationMatrix.h:300</div></div>
<div class="ttc" id="aclassEigen_1_1Solve_html"><div class="ttname"><a href="classEigen_1_1Solve.html">Eigen::Solve</a></div><div class="ttdoc">Pseudo expression representing a solving operation.</div><div class="ttdef"><b>Definition</b> Solve.h:65</div></div>
<div class="ttc" id="aclassEigen_1_1SolverBase_html"><div class="ttname"><a href="classEigen_1_1SolverBase.html">Eigen::SolverBase</a></div><div class="ttdoc">A base class for matrix decomposition and solvers.</div><div class="ttdef"><b>Definition</b> SolverBase.h:71</div></div>
<div class="ttc" id="aclassEigen_1_1SolverBase_html_a749b057c52245e486a101868d2578a24"><div class="ttname"><a href="classEigen_1_1SolverBase.html#a749b057c52245e486a101868d2578a24">Eigen::SolverBase< FullPivHouseholderQR< MatrixType_, PermutationIndex_ > >::derived</a></div><div class="ttdeci">FullPivHouseholderQR< MatrixType_, PermutationIndex_ > & derived()</div><div class="ttdef"><b>Definition</b> EigenBase.h:48</div></div>
<div class="ttc" id="aclassEigen_1_1SolverBase_html_a943c352b597e3cd4744d5c11bfd77520"><div class="ttname"><a href="classEigen_1_1SolverBase.html#a943c352b597e3cd4744d5c11bfd77520">Eigen::SolverBase::solve</a></div><div class="ttdeci">const Solve< Derived, Rhs > solve(const MatrixBase< Rhs > &b) const</div><div class="ttdef"><b>Definition</b> SolverBase.h:107</div></div>
<div class="ttc" id="agroup__enums_html_ggaacded1a18ae58b0f554751f6cdf9eb13a77c993a8d9f6efe5c1159fb2ab07dd4f"><div class="ttname"><a href="group__enums.html#ggaacded1a18ae58b0f554751f6cdf9eb13a77c993a8d9f6efe5c1159fb2ab07dd4f">Eigen::RowMajor</a></div><div class="ttdeci">@ RowMajor</div><div class="ttdef"><b>Definition</b> Constants.h:323</div></div>
<div class="ttc" id="anamespaceEigen_html"><div class="ttname"><a href="namespaceEigen.html">Eigen</a></div><div class="ttdoc">Namespace containing all symbols from the Eigen library.</div><div class="ttdef"><b>Definition</b> Core:139</div></div>
<div class="ttc" id="anamespaceEigen_html_a2d4af43bc6a869e68a60c0adde1d26f6"><div class="ttname"><a href="namespaceEigen.html#a2d4af43bc6a869e68a60c0adde1d26f6">Eigen::conj</a></div><div class="ttdeci">const Eigen::CwiseUnaryOp< Eigen::internal::scalar_conjugate_op< typename Derived::Scalar >, const Derived > conj(const Eigen::ArrayBase< Derived > &x)</div></div>
<div class="ttc" id="anamespaceEigen_html_a62e77e0933482dafde8fe197d9a2cfde"><div class="ttname"><a href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Eigen::Index</a></div><div class="ttdeci">EIGEN_DEFAULT_DENSE_INDEX_TYPE Index</div><div class="ttdoc">The Index type as used for the API.</div><div class="ttdef"><b>Definition</b> Meta.h:82</div></div>
<div class="ttc" id="astructEigen_1_1EigenBase_html"><div class="ttname"><a href="structEigen_1_1EigenBase.html">Eigen::EigenBase</a></div><div class="ttdef"><b>Definition</b> EigenBase.h:32</div></div>
<div class="ttc" id="astructEigen_1_1EigenBase_html_a554f30542cc2316add4b1ea0a492ff02"><div class="ttname"><a href="structEigen_1_1EigenBase.html#a554f30542cc2316add4b1ea0a492ff02">Eigen::EigenBase::Index</a></div><div class="ttdeci">Eigen::Index Index</div><div class="ttdoc">The interface type of indices.</div><div class="ttdef"><b>Definition</b> EigenBase.h:41</div></div>
<div class="ttc" id="astructEigen_1_1EigenBase_html_a749b057c52245e486a101868d2578a24"><div class="ttname"><a href="structEigen_1_1EigenBase.html#a749b057c52245e486a101868d2578a24">Eigen::EigenBase::derived</a></div><div class="ttdeci">Derived & derived()</div><div class="ttdef"><b>Definition</b> EigenBase.h:48</div></div>
<div class="ttc" id="astructEigen_1_1NumTraits_html"><div class="ttname"><a href="structEigen_1_1NumTraits.html">Eigen::NumTraits</a></div><div class="ttdoc">Holds information about the various numeric (i.e. scalar) types allowed by Eigen.</div><div class="ttdef"><b>Definition</b> NumTraits.h:231</div></div>
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