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Adjugate_8h_source.html
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Adjugate_8h_source.html
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<div class="title">Adjugate.h</div> </div>
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<a href="Adjugate_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> </div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="keyword">namespace </span>Eigen { </div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> </div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> </div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment">// *** General case adjugate implementation</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> </div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> ResultType, <span class="keywordtype">int</span> Size = MatrixType::RowsAtCompileTime></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="keyword">struct </span>compute_adjugate</div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> {</div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> run(<span class="keyword">const</span> MatrixType& matrix, ResultType& result)</div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  {</div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  eigen_assert( matrix.rows() == matrix.cols() && <span class="stringliteral">"Matrix is not square."</span>);</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> </div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  <span class="keywordflow">switch</span>( matrix.rows() )</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  {</div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="keywordflow">case</span> 1:</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  compute_adjugate<MatrixType, ResultType, 1>::run(matrix,result);</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="keywordflow">case</span> 2:</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  compute_adjugate<MatrixType, ResultType, 2>::run(matrix,result);</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keywordflow">case</span> 3:</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  compute_adjugate<MatrixType, ResultType, 3>::run(matrix,result);</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <span class="keywordflow">case</span> 4:</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  compute_adjugate<MatrixType, ResultType, 4>::run(matrix,result);</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keywordflow">default</span>:</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  eigen_assert( <span class="keyword">false</span> && <span class="stringliteral">"Not implemented."</span>);</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  };</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  }</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> </div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> };</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> </div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="comment">// *** Size 1 implementation</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> </div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> ResultType></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="keyword">struct </span>compute_adjugate<MatrixType, ResultType, 1></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> {</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> run(<span class="keyword">const</span> MatrixType& , ResultType& result)</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  {</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  result.coeffRef(0,0) = <span class="keyword">typename</span> ResultType::Scalar(1);</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  }</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> };</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> </div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="comment">// *** Size 2 implementation</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> </div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> ResultType></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="keyword">struct </span>compute_adjugate<MatrixType, ResultType, 2></div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> {</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> run(<span class="keyword">const</span> MatrixType& matrix, ResultType& result)</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  {</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  result.coeffRef(0,0) = matrix.coeff(1,1);</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  result.coeffRef(1,0) = -matrix.coeff(1,0);</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  result.coeffRef(0,1) = -matrix.coeff(0,1);</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  result.coeffRef(1,1) = matrix.coeff(0,0);</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  }</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span> };</div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span> </div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="comment">// *** Size 3 implementation</span></div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span> </div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> ResultType></div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="keyword">struct </span>compute_adjugate<MatrixType, ResultType, 3></div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span> {</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> run(<span class="keyword">const</span> MatrixType& matrix, ResultType& result)</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  {</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  result.coeffRef(0,0) = cofactor_3x3<MatrixType,0,0>(matrix);</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  result.coeffRef(0,1) = cofactor_3x3<MatrixType,1,0>(matrix);</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  result.coeffRef(0,2) = cofactor_3x3<MatrixType,2,0>(matrix);</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  result.coeffRef(1,0) = cofactor_3x3<MatrixType,0,1>(matrix);</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  result.coeffRef(1,1) = cofactor_3x3<MatrixType,1,1>(matrix);</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  result.coeffRef(1,2) = cofactor_3x3<MatrixType,2,1>(matrix);</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  result.coeffRef(2,0) = cofactor_3x3<MatrixType,0,2>(matrix);</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  result.coeffRef(2,1) = cofactor_3x3<MatrixType,1,2>(matrix);</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  result.coeffRef(2,2) = cofactor_3x3<MatrixType,2,2>(matrix);</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  }</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> };</div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> </div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span> <span class="comment">// *** Size 4 implementation</span></div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> </div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixType, <span class="keyword">typename</span> ResultType></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="keyword">struct </span>compute_adjugate<MatrixType, ResultType, 4></div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> {</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> run(<span class="keyword">const</span> MatrixType& matrix, ResultType& result)</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  {</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  result.coeffRef(0,0) = cofactor_4x4<MatrixType,0,0>(matrix);</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  result.coeffRef(1,0) = -cofactor_4x4<MatrixType,0,1>(matrix);</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  result.coeffRef(2,0) = cofactor_4x4<MatrixType,0,2>(matrix);</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  result.coeffRef(3,0) = -cofactor_4x4<MatrixType,0,3>(matrix);</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  result.coeffRef(0,2) = cofactor_4x4<MatrixType,2,0>(matrix);</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  result.coeffRef(1,2) = -cofactor_4x4<MatrixType,2,1>(matrix);</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  result.coeffRef(2,2) = cofactor_4x4<MatrixType,2,2>(matrix);</div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  result.coeffRef(3,2) = -cofactor_4x4<MatrixType,2,3>(matrix);</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  result.coeffRef(0,1) = -cofactor_4x4<MatrixType,1,0>(matrix);</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  result.coeffRef(1,1) = cofactor_4x4<MatrixType,1,1>(matrix);</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  result.coeffRef(2,1) = -cofactor_4x4<MatrixType,1,2>(matrix);</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  result.coeffRef(3,1) = cofactor_4x4<MatrixType,1,3>(matrix);</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  result.coeffRef(0,3) = -cofactor_4x4<MatrixType,3,0>(matrix);</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  result.coeffRef(1,3) = cofactor_4x4<MatrixType,3,1>(matrix);</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  result.coeffRef(2,3) = -cofactor_4x4<MatrixType,3,2>(matrix);</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  result.coeffRef(3,3) = cofactor_4x4<MatrixType,3,3>(matrix);</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  }</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> };</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> </div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="comment">// *** Adjugate expression</span></div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> </div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixType></div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="keyword">struct </span>adjugate_impl : <span class="keyword">public</span> ReturnByValue<adjugate_impl<MatrixType> ></div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> {</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Index Index;</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::eval<MatrixType>::type MatrixTypeNested;</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> remove_all<MatrixTypeNested>::type MatrixTypeNestedCleaned;</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  MatrixTypeNested m_matrix;</div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> </div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  adjugate_impl(<span class="keyword">const</span> MatrixType& matrix)</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  : m_matrix(matrix)</div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  {}</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> </div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  <span class="keyword">inline</span> Index rows()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_matrix.rows(); }</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keyword">inline</span> Index cols()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_matrix.cols(); }</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> </div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keyword">template</span><<span class="keyword">typename</span> Dest> <span class="keyword">inline</span> <span class="keywordtype">void</span> evalTo(Dest& dst)<span class="keyword"> const</span></div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">int</span> Size = EIGEN_PLAIN_ENUM_MIN(MatrixType::ColsAtCompileTime,Dest::ColsAtCompileTime);</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  EIGEN_ONLY_USED_FOR_DEBUG(Size);</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  eigen_assert(( (Size<=1) || (Size>4) || (extract_data(m_matrix)!=extract_data(dst)))</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  && <span class="stringliteral">"Aliasing problem detected in adjugate(), you need to do adjugate().eval() here."</span>);</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span> </div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  compute_adjugate<MatrixTypeNestedCleaned, Dest>::run(m_matrix, dst);</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  }</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> };</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span> </div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixType></div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span> <span class="keyword">struct </span>traits<adjugate_impl<MatrixType> ></div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> {</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::PlainObject ReturnType;</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> };</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> </div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> } <span class="comment">// namespace internal</span></div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> </div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span> </div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> <span class="comment">// *** Implementation of MatrixBase::adjugate()</span></div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span> </div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> <span class="keyword">template</span><<span class="keyword">typename</span> Derived></div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span> <span class="keyword">inline</span> <span class="keyword">const</span> internal::adjugate_impl<Derived></div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> MatrixBase<Derived>::adjugate()<span class="keyword"> const</span></div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  eigen_assert(rows() == cols());</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <span class="keywordflow">return</span> internal::adjugate_impl<Derived>(derived());</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> }</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> </div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span> <span class="keyword">template</span><<span class="keyword">typename</span> Derived></div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span> <span class="keyword">inline</span> <span class="keywordtype">void</span> MatrixBase<Derived>::adjugateInPlace()</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span> {</div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  derived() = adjugate().eval();</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> }</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> </div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span> }</div>
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