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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) 2009 Claire Maurice</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">// Copyright (C) 2009 Gael Guennebaud <gael.guennebaud@inria.fr></span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment">// Copyright (C) 2010,2012 Jitse Niesen <jitse@maths.leeds.ac.uk></span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">//</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</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="l00010" name="l00010"></a><span class="lineno"> 10</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="l00011" name="l00011"></a><span class="lineno"> 11</span> </div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="preprocessor">#ifndef EIGEN_COMPLEX_EIGEN_SOLVER_H</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="preprocessor">#define EIGEN_COMPLEX_EIGEN_SOLVER_H</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span> </div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#include "./ComplexSchur.h"</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include "./InternalHeaderCheck.h"</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> </div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="keyword">namespace </span><a class="code hl_namespace" href="namespaceEigen.html">Eigen</a> { </div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> </div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"><a class="line" href="classEigen_1_1ComplexEigenSolver.html"> 47</a></span><span class="keyword">template</span><<span class="keyword">typename</span> MatrixType_> <span class="keyword">class </span><a class="code hl_class" href="classEigen_1_1ComplexEigenSolver.html">ComplexEigenSolver</a></div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span>{</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keyword">public</span>:</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> </div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"><a class="line" href="classEigen_1_1ComplexEigenSolver.html#ac9cbc46e4029e5270233f2e5935ca7c5"> 52</a></span> <span class="keyword">typedef</span> MatrixType_ <a class="code hl_typedef" href="classEigen_1_1ComplexEigenSolver.html#ac9cbc46e4029e5270233f2e5935ca7c5">MatrixType</a>;</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> </div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keyword">enum</span> {</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> RowsAtCompileTime = MatrixType::RowsAtCompileTime,</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> ColsAtCompileTime = MatrixType::ColsAtCompileTime,</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> Options = MatrixType::Options,</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> MaxRowsAtCompileTime = MatrixType::MaxRowsAtCompileTime,</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> MaxColsAtCompileTime = MatrixType::MaxColsAtCompileTime</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> };</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> </div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"><a class="line" href="classEigen_1_1ComplexEigenSolver.html#a529599511298b96c3aa8c076807adcd9"> 63</a></span> <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Scalar <a class="code hl_typedef" href="classEigen_1_1ComplexEigenSolver.html#a529599511298b96c3aa8c076807adcd9">Scalar</a>;</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="keyword">typedef</span> <span class="keyword">typename</span> NumTraits<Scalar>::Real RealScalar;</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"><a class="line" href="classEigen_1_1ComplexEigenSolver.html#a8bd6f818f11487fa2eb4b01cb920ace6"> 65</a></span> <span class="keyword">typedef</span> <a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Eigen::Index</a> <a class="code hl_typedef" href="classEigen_1_1ComplexEigenSolver.html#a8bd6f818f11487fa2eb4b01cb920ace6">Index</a>; </div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> </div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"><a class="line" href="classEigen_1_1ComplexEigenSolver.html#a2ac2cfde9d0f3012e059c8d8e2ba7db7"> 73</a></span> <span class="keyword">typedef</span> std::complex<RealScalar> <a class="code hl_typedef" href="classEigen_1_1ComplexEigenSolver.html#a2ac2cfde9d0f3012e059c8d8e2ba7db7">ComplexScalar</a>;</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> </div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"><a class="line" href="classEigen_1_1ComplexEigenSolver.html#af1d033d8c14e9461203d960c000bb72b"> 80</a></span> <span class="keyword">typedef</span> <a class="code hl_class" href="classEigen_1_1Matrix.html">Matrix</a><<a class="code hl_typedef" href="classEigen_1_1ComplexEigenSolver.html#a2ac2cfde9d0f3012e059c8d8e2ba7db7">ComplexScalar</a>, ColsAtCompileTime, 1, Options&(~RowMajor), MaxColsAtCompileTime, 1> <a class="code hl_class" href="classEigen_1_1Matrix.html">EigenvalueType</a>;</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> </div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"><a class="line" href="classEigen_1_1ComplexEigenSolver.html#a8f3a8e3a570ca7e6df9a5ebfaa832d59"> 87</a></span> <span class="keyword">typedef</span> <a class="code hl_class" href="classEigen_1_1Matrix.html">Matrix<ComplexScalar, RowsAtCompileTime, ColsAtCompileTime, Options, MaxRowsAtCompileTime, MaxColsAtCompileTime></a> <a class="code hl_typedef" href="classEigen_1_1ComplexEigenSolver.html#a8f3a8e3a570ca7e6df9a5ebfaa832d59">EigenvectorType</a>;</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> </div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"><a class="line" href="classEigen_1_1ComplexEigenSolver.html#a47423d74e9d6d1c1583ddf0d0739c38b"> 94</a></span> <a class="code hl_function" href="classEigen_1_1ComplexEigenSolver.html#a47423d74e9d6d1c1583ddf0d0739c38b">ComplexEigenSolver</a>()</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> : m_eivec(),</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> m_eivalues(),</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> m_schur(),</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> m_isInitialized(false),</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> m_eigenvectorsOk(false),</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> m_matX()</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> {}</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> </div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"><a class="line" href="classEigen_1_1ComplexEigenSolver.html#a37240ce1bf2092c91d3bcb93ce30d9a9"> 109</a></span> <span class="keyword">explicit</span> <a class="code hl_function" href="classEigen_1_1ComplexEigenSolver.html#a37240ce1bf2092c91d3bcb93ce30d9a9">ComplexEigenSolver</a>(<a class="code hl_typedef" href="classEigen_1_1ComplexEigenSolver.html#a8bd6f818f11487fa2eb4b01cb920ace6">Index</a> size)</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> : m_eivec(size, size),</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> m_eivalues(size),</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> m_schur(size),</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> m_isInitialized(false),</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> m_eigenvectorsOk(false),</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> m_matX(size, size)</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> {}</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> </div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <span class="keyword">template</span><<span class="keyword">typename</span> InputType></div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"><a class="line" href="classEigen_1_1ComplexEigenSolver.html#a6b1ad5564efbd25fc8f8f0321424e821"> 128</a></span> <span class="keyword">explicit</span> <a class="code hl_function" href="classEigen_1_1ComplexEigenSolver.html#a6b1ad5564efbd25fc8f8f0321424e821">ComplexEigenSolver</a>(<span class="keyword">const</span> <a class="code hl_class" href="structEigen_1_1EigenBase.html">EigenBase<InputType></a>& matrix, <span class="keywordtype">bool</span> computeEigenvectors = <span class="keyword">true</span>)</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> : m_eivec(matrix.rows(),matrix.cols()),</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> m_eivalues(matrix.cols()),</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> m_schur(matrix.rows()),</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> m_isInitialized(false),</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> m_eigenvectorsOk(false),</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> m_matX(matrix.rows(),matrix.cols())</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> {</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <a class="code hl_function" href="classEigen_1_1ComplexEigenSolver.html#a2209320a0bb39725834c39fd92183cd6">compute</a>(matrix.<a class="code hl_function" href="structEigen_1_1EigenBase.html#a749b057c52245e486a101868d2578a24">derived</a>(), computeEigenvectors);</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> }</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> </div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"><a class="line" href="classEigen_1_1ComplexEigenSolver.html#a8b30e8411ff66aa6441d2519af1a4e06"> 159</a></span> <span class="keyword">const</span> <a class="code hl_class" href="classEigen_1_1Matrix.html">EigenvectorType</a>& <a class="code hl_function" href="classEigen_1_1ComplexEigenSolver.html#a8b30e8411ff66aa6441d2519af1a4e06">eigenvectors</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> eigen_assert(m_isInitialized && <span class="stringliteral">"ComplexEigenSolver is not initialized."</span>);</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> eigen_assert(m_eigenvectorsOk && <span class="stringliteral">"The eigenvectors have not been computed together with the eigenvalues."</span>);</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> <span class="keywordflow">return</span> m_eivec;</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> }</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> </div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"><a class="line" href="classEigen_1_1ComplexEigenSolver.html#adddc0fe33c0c8648dea752d0f686e513"> 184</a></span> <span class="keyword">const</span> <a class="code hl_class" href="classEigen_1_1Matrix.html">EigenvalueType</a>& <a class="code hl_function" href="classEigen_1_1ComplexEigenSolver.html#adddc0fe33c0c8648dea752d0f686e513">eigenvalues</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> eigen_assert(m_isInitialized && <span class="stringliteral">"ComplexEigenSolver is not initialized."</span>);</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> <span class="keywordflow">return</span> m_eivalues;</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> }</div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> </div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <span class="keyword">template</span><<span class="keyword">typename</span> InputType></div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"><a class="line" href="classEigen_1_1ComplexEigenSolver.html#a2209320a0bb39725834c39fd92183cd6"> 215</a></span> <a class="code hl_class" href="classEigen_1_1ComplexEigenSolver.html">ComplexEigenSolver</a>& <a class="code hl_function" href="classEigen_1_1ComplexEigenSolver.html#a2209320a0bb39725834c39fd92183cd6">compute</a>(<span class="keyword">const</span> <a class="code hl_class" href="structEigen_1_1EigenBase.html">EigenBase<InputType></a>& matrix, <span class="keywordtype">bool</span> computeEigenvectors = <span class="keyword">true</span>);</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> </div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"><a class="line" href="classEigen_1_1ComplexEigenSolver.html#aee79c3be45f7d1a8f6dcfffc421dca69"> 221</a></span> <a class="code hl_enumeration" href="group__enums.html#ga85fad7b87587764e5cf6b513a9e0ee5e">ComputationInfo</a> <a class="code hl_function" href="classEigen_1_1ComplexEigenSolver.html#aee79c3be45f7d1a8f6dcfffc421dca69">info</a>()<span class="keyword"> const</span></div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span><span class="keyword"> </span>{</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> eigen_assert(m_isInitialized && <span class="stringliteral">"ComplexEigenSolver is not initialized."</span>);</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> <span class="keywordflow">return</span> m_schur.<a class="code hl_function" href="classEigen_1_1ComplexSchur.html#a13adef2a54e61bb5789eb7821a3b7b46">info</a>();</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> }</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> </div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"><a class="line" href="classEigen_1_1ComplexEigenSolver.html#a6592a682a9645f855c423b2a59861d1b"> 228</a></span> <a class="code hl_class" href="classEigen_1_1ComplexEigenSolver.html">ComplexEigenSolver</a>& <a class="code hl_function" href="classEigen_1_1ComplexEigenSolver.html#a6592a682a9645f855c423b2a59861d1b">setMaxIterations</a>(<a class="code hl_typedef" href="classEigen_1_1ComplexEigenSolver.html#a8bd6f818f11487fa2eb4b01cb920ace6">Index</a> maxIters)</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> {</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> m_schur.<a class="code hl_function" href="classEigen_1_1ComplexSchur.html#af87b9cdada99e8a6f3b0e0406d7fda86">setMaxIterations</a>(maxIters);</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> }</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> </div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"><a class="line" href="classEigen_1_1ComplexEigenSolver.html#a38b46258ce744304049583123897368c"> 235</a></span> <a class="code hl_typedef" href="classEigen_1_1ComplexEigenSolver.html#a8bd6f818f11487fa2eb4b01cb920ace6">Index</a> <a class="code hl_function" href="classEigen_1_1ComplexEigenSolver.html#a38b46258ce744304049583123897368c">getMaxIterations</a>()</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> {</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> <span class="keywordflow">return</span> m_schur.<a class="code hl_function" href="classEigen_1_1ComplexSchur.html#a6f35999b87c247bb24b2ad6ba1abee69">getMaxIterations</a>();</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> }</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> </div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> <span class="keyword">protected</span>:</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> </div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> EIGEN_STATIC_ASSERT_NON_INTEGER(<a class="code hl_typedef" href="classEigen_1_1ComplexEigenSolver.html#a529599511298b96c3aa8c076807adcd9">Scalar</a>)</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> </div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> <a class="code hl_typedef" href="classEigen_1_1ComplexEigenSolver.html#a8f3a8e3a570ca7e6df9a5ebfaa832d59">EigenvectorType</a> m_eivec;</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> <a class="code hl_typedef" href="classEigen_1_1ComplexEigenSolver.html#af1d033d8c14e9461203d960c000bb72b">EigenvalueType</a> m_eivalues;</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> <a class="code hl_class" href="classEigen_1_1ComplexSchur.html">ComplexSchur<MatrixType></a> m_schur;</div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> <span class="keywordtype">bool</span> m_isInitialized;</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> <span class="keywordtype">bool</span> m_eigenvectorsOk;</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> <a class="code hl_typedef" href="classEigen_1_1ComplexEigenSolver.html#a8f3a8e3a570ca7e6df9a5ebfaa832d59">EigenvectorType</a> m_matX;</div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> </div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> <span class="keywordtype">void</span> doComputeEigenvectors(RealScalar matrixnorm);</div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> <span class="keywordtype">void</span> sortEigenvalues(<span class="keywordtype">bool</span> computeEigenvectors);</div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span>};</div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> </div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> </div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span><span class="keyword">template</span><<span class="keyword">typename</span> MatrixType></div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span><span class="keyword">template</span><<span class="keyword">typename</span> InputType></div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span>ComplexEigenSolver<MatrixType>& </div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span>ComplexEigenSolver<MatrixType>::compute(<span class="keyword">const</span> EigenBase<InputType>& matrix, <span class="keywordtype">bool</span> computeEigenvectors)</div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span>{</div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> <span class="comment">// this code is inspired from Jampack</span></div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> eigen_assert(matrix.cols() == matrix.rows());</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> </div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> <span class="comment">// Do a complex Schur decomposition, A = U T U^*</span></div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> <span class="comment">// The eigenvalues are on the diagonal of T.</span></div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> m_schur.compute(matrix.derived(), computeEigenvectors);</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> </div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> <span class="keywordflow">if</span>(m_schur.info() == Success)</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> {</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> m_eivalues = m_schur.matrixT().diagonal();</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> <span class="keywordflow">if</span>(computeEigenvectors)</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> doComputeEigenvectors(m_schur.matrixT().norm());</div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> sortEigenvalues(computeEigenvectors);</div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> }</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> </div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> m_isInitialized = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> m_eigenvectorsOk = computeEigenvectors;</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span>}</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> </div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> </div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span><span class="keyword">template</span><<span class="keyword">typename</span> MatrixType></div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span><span class="keywordtype">void</span> ComplexEigenSolver<MatrixType>::doComputeEigenvectors(RealScalar matrixnorm)</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> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> n = m_eivalues.size();</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> </div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> matrixnorm = numext::maxi(matrixnorm,(std::numeric_limits<RealScalar>::min)());</div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> </div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> <span class="comment">// Compute X such that T = X D X^(-1), where D is the diagonal of T.</span></div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> <span class="comment">// The matrix X is unit triangular.</span></div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> m_matX = EigenvectorType::Zero(n, n);</div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> <span class="keywordflow">for</span>(Index k=n-1 ; k>=0 ; k--)</div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> {</div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> m_matX.coeffRef(k,k) = ComplexScalar(1.0,0.0);</div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> <span class="comment">// Compute X(i,k) using the (i,k) entry of the equation X T = D X</span></div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> <span class="keywordflow">for</span>(Index i=k-1 ; i>=0 ; i--)</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> m_matX.coeffRef(i,k) = -m_schur.matrixT().coeff(i,k);</div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> <span class="keywordflow">if</span>(k-i-1>0)</div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> m_matX.coeffRef(i,k) -= (m_schur.matrixT().row(i).segment(i+1,k-i-1) * m_matX.col(k).segment(i+1,k-i-1)).value();</div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> ComplexScalar z = m_schur.matrixT().coeff(i,i) - m_schur.matrixT().coeff(k,k);</div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> <span class="keywordflow">if</span>(z==ComplexScalar(0))</div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> {</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> <span class="comment">// If the i-th and k-th eigenvalue are equal, then z equals 0.</span></div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> <span class="comment">// Use a small value instead, to prevent division by zero.</span></div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> numext::real_ref(z) = NumTraits<RealScalar>::epsilon() * matrixnorm;</div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> }</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> m_matX.coeffRef(i,k) = m_matX.coeff(i,k) / z;</div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> }</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="l00313" name="l00313"></a><span class="lineno"> 313</span> <span class="comment">// Compute V as V = U X; now A = U T U^* = U X D X^(-1) U^* = V D V^(-1)</span></div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> m_eivec.noalias() = m_schur.matrixU() * m_matX;</div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> <span class="comment">// .. and normalize the eigenvectors</span></div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> <span class="keywordflow">for</span>(Index k=0 ; k<n ; k++)</div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> {</div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> m_eivec.col(k).normalize();</div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> }</div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span>}</div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> </div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> </div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span><span class="keyword">template</span><<span class="keyword">typename</span> MatrixType></div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span><span class="keywordtype">void</span> ComplexEigenSolver<MatrixType>::sortEigenvalues(<span class="keywordtype">bool</span> computeEigenvectors)</div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span>{</div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> <span class="keyword">const</span> <a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> n = m_eivalues.size();</div>
<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> <span class="keywordflow">for</span> (Index i=0; i<n; i++)</div>
<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> {</div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> <a class="code hl_typedef" href="namespaceEigen.html#a62e77e0933482dafde8fe197d9a2cfde">Index</a> k;</div>
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> m_eivalues.cwiseAbs().tail(n-i).minCoeff(&k);</div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> <span class="keywordflow">if</span> (k != 0)</div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> {</div>
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> k += i;</div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> std::swap(m_eivalues[k],m_eivalues[i]);</div>
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span> <span class="keywordflow">if</span>(computeEigenvectors)</div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> m_eivec.col(i).swap(m_eivec.col(k));</div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span> }</div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> }</div>
<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span>}</div>
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> </div>
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span>} <span class="comment">// end namespace Eigen</span></div>
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> </div>
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span><span class="preprocessor">#endif </span><span class="comment">// EIGEN_COMPLEX_EIGEN_SOLVER_H</span></div>
<div class="ttc" id="aclassEigen_1_1ComplexEigenSolver_html"><div class="ttname"><a href="classEigen_1_1ComplexEigenSolver.html">Eigen::ComplexEigenSolver</a></div><div class="ttdoc">Computes eigenvalues and eigenvectors of general complex matrices.</div><div class="ttdef"><b>Definition</b> ComplexEigenSolver.h:48</div></div>
<div class="ttc" id="aclassEigen_1_1ComplexEigenSolver_html_a2209320a0bb39725834c39fd92183cd6"><div class="ttname"><a href="classEigen_1_1ComplexEigenSolver.html#a2209320a0bb39725834c39fd92183cd6">Eigen::ComplexEigenSolver::compute</a></div><div class="ttdeci">ComplexEigenSolver & compute(const EigenBase< InputType > &matrix, bool computeEigenvectors=true)</div><div class="ttdoc">Computes eigendecomposition of given matrix.</div></div>
<div class="ttc" id="aclassEigen_1_1ComplexEigenSolver_html_a2ac2cfde9d0f3012e059c8d8e2ba7db7"><div class="ttname"><a href="classEigen_1_1ComplexEigenSolver.html#a2ac2cfde9d0f3012e059c8d8e2ba7db7">Eigen::ComplexEigenSolver::ComplexScalar</a></div><div class="ttdeci">std::complex< RealScalar > ComplexScalar</div><div class="ttdoc">Complex scalar type for MatrixType.</div><div class="ttdef"><b>Definition</b> ComplexEigenSolver.h:73</div></div>
<div class="ttc" id="aclassEigen_1_1ComplexEigenSolver_html_a37240ce1bf2092c91d3bcb93ce30d9a9"><div class="ttname"><a href="classEigen_1_1ComplexEigenSolver.html#a37240ce1bf2092c91d3bcb93ce30d9a9">Eigen::ComplexEigenSolver::ComplexEigenSolver</a></div><div class="ttdeci">ComplexEigenSolver(Index size)</div><div class="ttdoc">Default Constructor with memory preallocation.</div><div class="ttdef"><b>Definition</b> ComplexEigenSolver.h:109</div></div>
<div class="ttc" id="aclassEigen_1_1ComplexEigenSolver_html_a38b46258ce744304049583123897368c"><div class="ttname"><a href="classEigen_1_1ComplexEigenSolver.html#a38b46258ce744304049583123897368c">Eigen::ComplexEigenSolver::getMaxIterations</a></div><div class="ttdeci">Index getMaxIterations()</div><div class="ttdoc">Returns the maximum number of iterations.</div><div class="ttdef"><b>Definition</b> ComplexEigenSolver.h:235</div></div>
<div class="ttc" id="aclassEigen_1_1ComplexEigenSolver_html_a47423d74e9d6d1c1583ddf0d0739c38b"><div class="ttname"><a href="classEigen_1_1ComplexEigenSolver.html#a47423d74e9d6d1c1583ddf0d0739c38b">Eigen::ComplexEigenSolver::ComplexEigenSolver</a></div><div class="ttdeci">ComplexEigenSolver()</div><div class="ttdoc">Default constructor.</div><div class="ttdef"><b>Definition</b> ComplexEigenSolver.h:94</div></div>
<div class="ttc" id="aclassEigen_1_1ComplexEigenSolver_html_a529599511298b96c3aa8c076807adcd9"><div class="ttname"><a href="classEigen_1_1ComplexEigenSolver.html#a529599511298b96c3aa8c076807adcd9">Eigen::ComplexEigenSolver::Scalar</a></div><div class="ttdeci">MatrixType::Scalar Scalar</div><div class="ttdoc">Scalar type for matrices of type MatrixType.</div><div class="ttdef"><b>Definition</b> ComplexEigenSolver.h:63</div></div>
<div class="ttc" id="aclassEigen_1_1ComplexEigenSolver_html_a6592a682a9645f855c423b2a59861d1b"><div class="ttname"><a href="classEigen_1_1ComplexEigenSolver.html#a6592a682a9645f855c423b2a59861d1b">Eigen::ComplexEigenSolver::setMaxIterations</a></div><div class="ttdeci">ComplexEigenSolver & setMaxIterations(Index maxIters)</div><div class="ttdoc">Sets the maximum number of iterations allowed.</div><div class="ttdef"><b>Definition</b> ComplexEigenSolver.h:228</div></div>
<div class="ttc" id="aclassEigen_1_1ComplexEigenSolver_html_a6b1ad5564efbd25fc8f8f0321424e821"><div class="ttname"><a href="classEigen_1_1ComplexEigenSolver.html#a6b1ad5564efbd25fc8f8f0321424e821">Eigen::ComplexEigenSolver::ComplexEigenSolver</a></div><div class="ttdeci">ComplexEigenSolver(const EigenBase< InputType > &matrix, bool computeEigenvectors=true)</div><div class="ttdoc">Constructor; computes eigendecomposition of given matrix.</div><div class="ttdef"><b>Definition</b> ComplexEigenSolver.h:128</div></div>
<div class="ttc" id="aclassEigen_1_1ComplexEigenSolver_html_a8b30e8411ff66aa6441d2519af1a4e06"><div class="ttname"><a href="classEigen_1_1ComplexEigenSolver.html#a8b30e8411ff66aa6441d2519af1a4e06">Eigen::ComplexEigenSolver::eigenvectors</a></div><div class="ttdeci">const EigenvectorType & eigenvectors() const</div><div class="ttdoc">Returns the eigenvectors of given matrix.</div><div class="ttdef"><b>Definition</b> ComplexEigenSolver.h:159</div></div>
<div class="ttc" id="aclassEigen_1_1ComplexEigenSolver_html_a8bd6f818f11487fa2eb4b01cb920ace6"><div class="ttname"><a href="classEigen_1_1ComplexEigenSolver.html#a8bd6f818f11487fa2eb4b01cb920ace6">Eigen::ComplexEigenSolver::Index</a></div><div class="ttdeci">Eigen::Index Index</div><div class="ttdef"><b>Definition</b> ComplexEigenSolver.h:65</div></div>
<div class="ttc" id="aclassEigen_1_1ComplexEigenSolver_html_a8f3a8e3a570ca7e6df9a5ebfaa832d59"><div class="ttname"><a href="classEigen_1_1ComplexEigenSolver.html#a8f3a8e3a570ca7e6df9a5ebfaa832d59">Eigen::ComplexEigenSolver::EigenvectorType</a></div><div class="ttdeci">Matrix< ComplexScalar, RowsAtCompileTime, ColsAtCompileTime, Options, MaxRowsAtCompileTime, MaxColsAtCompileTime > EigenvectorType</div><div class="ttdoc">Type for matrix of eigenvectors as returned by eigenvectors().</div><div class="ttdef"><b>Definition</b> ComplexEigenSolver.h:87</div></div>
<div class="ttc" id="aclassEigen_1_1ComplexEigenSolver_html_ac9cbc46e4029e5270233f2e5935ca7c5"><div class="ttname"><a href="classEigen_1_1ComplexEigenSolver.html#ac9cbc46e4029e5270233f2e5935ca7c5">Eigen::ComplexEigenSolver::MatrixType</a></div><div class="ttdeci">MatrixType_ MatrixType</div><div class="ttdoc">Synonym for the template parameter MatrixType_.</div><div class="ttdef"><b>Definition</b> ComplexEigenSolver.h:52</div></div>
<div class="ttc" id="aclassEigen_1_1ComplexEigenSolver_html_adddc0fe33c0c8648dea752d0f686e513"><div class="ttname"><a href="classEigen_1_1ComplexEigenSolver.html#adddc0fe33c0c8648dea752d0f686e513">Eigen::ComplexEigenSolver::eigenvalues</a></div><div class="ttdeci">const EigenvalueType & eigenvalues() const</div><div class="ttdoc">Returns the eigenvalues of given matrix.</div><div class="ttdef"><b>Definition</b> ComplexEigenSolver.h:184</div></div>
<div class="ttc" id="aclassEigen_1_1ComplexEigenSolver_html_aee79c3be45f7d1a8f6dcfffc421dca69"><div class="ttname"><a href="classEigen_1_1ComplexEigenSolver.html#aee79c3be45f7d1a8f6dcfffc421dca69">Eigen::ComplexEigenSolver::info</a></div><div class="ttdeci">ComputationInfo info() const</div><div class="ttdoc">Reports whether previous computation was successful.</div><div class="ttdef"><b>Definition</b> ComplexEigenSolver.h:221</div></div>
<div class="ttc" id="aclassEigen_1_1ComplexEigenSolver_html_af1d033d8c14e9461203d960c000bb72b"><div class="ttname"><a href="classEigen_1_1ComplexEigenSolver.html#af1d033d8c14e9461203d960c000bb72b">Eigen::ComplexEigenSolver::EigenvalueType</a></div><div class="ttdeci">Matrix< ComplexScalar, ColsAtCompileTime, 1, Options &(~RowMajor), MaxColsAtCompileTime, 1 > EigenvalueType</div><div class="ttdoc">Type for vector of eigenvalues as returned by eigenvalues().</div><div class="ttdef"><b>Definition</b> ComplexEigenSolver.h:80</div></div>
<div class="ttc" id="aclassEigen_1_1ComplexSchur_html"><div class="ttname"><a href="classEigen_1_1ComplexSchur.html">Eigen::ComplexSchur</a></div><div class="ttdoc">Performs a complex Schur decomposition of a real or complex square matrix.</div><div class="ttdef"><b>Definition</b> ComplexSchur.h:54</div></div>
<div class="ttc" id="aclassEigen_1_1ComplexSchur_html_a13adef2a54e61bb5789eb7821a3b7b46"><div class="ttname"><a href="classEigen_1_1ComplexSchur.html#a13adef2a54e61bb5789eb7821a3b7b46">Eigen::ComplexSchur::info</a></div><div class="ttdeci">ComputationInfo info() const</div><div class="ttdoc">Reports whether previous computation was successful.</div><div class="ttdef"><b>Definition</b> ComplexSchur.h:219</div></div>
<div class="ttc" id="aclassEigen_1_1ComplexSchur_html_a6f35999b87c247bb24b2ad6ba1abee69"><div class="ttname"><a href="classEigen_1_1ComplexSchur.html#a6f35999b87c247bb24b2ad6ba1abee69">Eigen::ComplexSchur::getMaxIterations</a></div><div class="ttdeci">Index getMaxIterations()</div><div class="ttdoc">Returns the maximum number of iterations.</div><div class="ttdef"><b>Definition</b> ComplexSchur.h:237</div></div>
<div class="ttc" id="aclassEigen_1_1ComplexSchur_html_af87b9cdada99e8a6f3b0e0406d7fda86"><div class="ttname"><a href="classEigen_1_1ComplexSchur.html#af87b9cdada99e8a6f3b0e0406d7fda86">Eigen::ComplexSchur::setMaxIterations</a></div><div class="ttdeci">ComplexSchur & setMaxIterations(Index maxIters)</div><div class="ttdoc">Sets the maximum number of iterations allowed.</div><div class="ttdef"><b>Definition</b> ComplexSchur.h:230</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="agroup__enums_html_ga85fad7b87587764e5cf6b513a9e0ee5e"><div class="ttname"><a href="group__enums.html#ga85fad7b87587764e5cf6b513a9e0ee5e">Eigen::ComputationInfo</a></div><div class="ttdeci">ComputationInfo</div><div class="ttdef"><b>Definition</b> Constants.h:444</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_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_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>
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