<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/> <meta http-equiv="X-UA-Compatible" content="IE=9"/> <meta name="generator" content="Doxygen 1.8.5"/> <title>Eigen: TriangularSolverMatrix.h Source File</title> <link href="tabs.css" rel="stylesheet" type="text/css"/> <script type="text/javascript" src="jquery.js"></script> <script type="text/javascript" src="dynsections.js"></script> <link href="navtree.css" rel="stylesheet" type="text/css"/> <script type="text/javascript" src="resize.js"></script> <script type="text/javascript" src="navtree.js"></script> <script type="text/javascript"> $(document).ready(initResizable); $(window).load(resizeHeight); </script> <link href="search/search.css" rel="stylesheet" type="text/css"/> <script type="text/javascript" src="search/search.js"></script> <script type="text/javascript"> $(document).ready(function() { searchBox.OnSelectItem(0); }); </script> <link href="doxygen.css" rel="stylesheet" type="text/css" /> <link href="eigendoxy.css" rel="stylesheet" type="text/css"> <!-- --> <script type="text/javascript" src="eigen_navtree_hacks.js"></script> <!-- <script type="text/javascript"> --> <!-- </script> --> </head> <body> <div id="top"><!-- do not remove this div, it is closed by doxygen! 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If a copy of the MPL was not distributed</span></div> <div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div> <div class="line"><a name="l00009"></a><span class="lineno"> 9</span> </div> <div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="preprocessor">#ifndef EIGEN_TRIANGULAR_SOLVER_MATRIX_H</span></div> <div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor"></span><span class="preprocessor">#define EIGEN_TRIANGULAR_SOLVER_MATRIX_H</span></div> <div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor"></span></div> <div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="keyword">namespace </span>Eigen { </div> <div class="line"><a name="l00014"></a><span class="lineno"> 14</span> </div> <div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="keyword">namespace </span>internal {</div> <div class="line"><a name="l00016"></a><span class="lineno"> 16</span> </div> <div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment">// if the rhs is row major, let's transpose the product</span></div> <div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> Index, <span class="keywordtype">int</span> S<span class="keywordtype">id</span>e, <span class="keywordtype">int</span> Mode, <span class="keywordtype">bool</span> Conjugate, <span class="keywordtype">int</span> TriStorageOrder></div> <div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="keyword">struct </span>triangular_solve_matrix<Scalar,Index,Side,Mode,Conjugate,TriStorageOrder,<a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a>></div> <div class="line"><a name="l00020"></a><span class="lineno"> 20</span> {</div> <div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> run(</div> <div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  Index size, Index cols,</div> <div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  <span class="keyword">const</span> Scalar* tri, Index triStride,</div> <div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  Scalar* _other, Index otherStride,</div> <div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  level3_blocking<Scalar,Scalar>& blocking)</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>  triangular_solve_matrix<</div> <div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  Scalar, Index, Side==<a class="code" href="group__enums.html#gga3f4a95405348aa63ef907e692901011fa02217d2d79111440646e3b00c747745f">OnTheLeft</a>?<a class="code" href="group__enums.html#gga3f4a95405348aa63ef907e692901011faeda0d7b1859ec757de18ee3b7c6c541c">OnTheRight</a>:<a class="code" href="group__enums.html#gga3f4a95405348aa63ef907e692901011fa02217d2d79111440646e3b00c747745f">OnTheLeft</a>,</div> <div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  (Mode&<a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910bab051342541ee4cd3d2d7d710ba7c8a2d">UnitDiag</a>) | ((Mode&<a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910bae70afef0d3ff7aca74e17e85ff6c9f2e">Upper</a>) ? <a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910baf886b397626076218462d53d50eb96bc">Lower</a> : <a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910bae70afef0d3ff7aca74e17e85ff6c9f2e">Upper</a>),</div> <div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  NumTraits<Scalar>::IsComplex && Conjugate,</div> <div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  TriStorageOrder==<a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a> ? <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf">ColMajor</a> : <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a>, <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf">ColMajor</a>></div> <div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  ::run(size, cols, tri, triStride, _other, otherStride, blocking);</div> <div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  }</div> <div class="line"><a name="l00034"></a><span class="lineno"> 34</span> };</div> <div class="line"><a name="l00035"></a><span class="lineno"> 35</span> </div> <div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment">/* Optimized triangular solver with multiple right hand side and the triangular matrix on the left</span></div> <div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment"> */</span></div> <div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> Index, <span class="keywordtype">int</span> Mode, <span class="keywordtype">bool</span> Conjugate, <span class="keywordtype">int</span> TriStorageOrder></div> <div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="keyword">struct </span>triangular_solve_matrix<Scalar,Index,<a class="code" href="group__enums.html#gga3f4a95405348aa63ef907e692901011fa02217d2d79111440646e3b00c747745f">OnTheLeft</a>,Mode,Conjugate,TriStorageOrder,<a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf">ColMajor</a>></div> <div class="line"><a name="l00040"></a><span class="lineno"> 40</span> {</div> <div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keyword">static</span> EIGEN_DONT_INLINE <span class="keywordtype">void</span> run(</div> <div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  Index size, Index otherSize,</div> <div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keyword">const</span> Scalar* _tri, Index triStride,</div> <div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  Scalar* _other, Index otherStride,</div> <div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  level3_blocking<Scalar,Scalar>& blocking);</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> <span class="keyword">template</span> <<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> Index, <span class="keywordtype">int</span> Mode, <span class="keywordtype">bool</span> Conjugate, <span class="keywordtype">int</span> TriStorageOrder></div> <div class="line"><a name="l00048"></a><span class="lineno"> 48</span> EIGEN_DONT_INLINE <span class="keywordtype">void</span> triangular_solve_matrix<Scalar,Index,OnTheLeft,Mode,Conjugate,TriStorageOrder,ColMajor>::run(</div> <div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  Index size, Index otherSize,</div> <div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <span class="keyword">const</span> Scalar* _tri, Index triStride,</div> <div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  Scalar* _other, Index otherStride,</div> <div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  level3_blocking<Scalar,Scalar>& blocking)</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>  Index cols = otherSize;</div> <div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  const_blas_data_mapper<Scalar, Index, TriStorageOrder> tri(_tri,triStride);</div> <div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  blas_data_mapper<Scalar, Index, ColMajor> other(_other,otherStride);</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>  <span class="keyword">typedef</span> gebp_traits<Scalar,Scalar> Traits;</div> <div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keyword">enum</span> {</div> <div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  SmallPanelWidth = EIGEN_PLAIN_ENUM_MAX(Traits::mr,Traits::nr),</div> <div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  IsLower = (Mode&<a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910baf886b397626076218462d53d50eb96bc">Lower</a>) == <a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910baf886b397626076218462d53d50eb96bc">Lower</a></div> <div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  };</div> <div class="line"><a name="l00063"></a><span class="lineno"> 63</span> </div> <div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  Index kc = blocking.kc(); <span class="comment">// cache block size along the K direction</span></div> <div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  Index mc = (std::min)(size,blocking.mc()); <span class="comment">// cache block size along the M direction</span></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>  std::size_t sizeA = kc*mc;</div> <div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  std::size_t sizeB = kc*cols;</div> <div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  std::size_t sizeW = kc*Traits::WorkSpaceFactor;</div> <div class="line"><a name="l00070"></a><span class="lineno"> 70</span> </div> <div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  ei_declare_aligned_stack_constructed_variable(Scalar, blockA, sizeA, blocking.blockA());</div> <div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  ei_declare_aligned_stack_constructed_variable(Scalar, blockB, sizeB, blocking.blockB());</div> <div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  ei_declare_aligned_stack_constructed_variable(Scalar, blockW, sizeW, blocking.blockW());</div> <div class="line"><a name="l00074"></a><span class="lineno"> 74</span> </div> <div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  conj_if<Conjugate> conj;</div> <div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  gebp_kernel<Scalar, Scalar, Index, Traits::mr, Traits::nr, Conjugate, false> gebp_kernel;</div> <div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  gemm_pack_lhs<Scalar, Index, Traits::mr, Traits::LhsProgress, TriStorageOrder> pack_lhs;</div> <div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  gemm_pack_rhs<Scalar, Index, Traits::nr, ColMajor, false, true> pack_rhs;</div> <div class="line"><a name="l00079"></a><span class="lineno"> 79</span> </div> <div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="comment">// the goal here is to subdivise the Rhs panels such that we keep some cache</span></div> <div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  <span class="comment">// coherence when accessing the rhs elements</span></div> <div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  std::ptrdiff_t l1, l2;</div> <div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  manage_caching_sizes(GetAction, &l1, &l2);</div> <div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  Index subcols = cols>0 ? l2/(4 * <span class="keyword">sizeof</span>(Scalar) * otherStride) : 0;</div> <div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  subcols = std::max<Index>((subcols/Traits::nr)*Traits::nr, Traits::nr);</div> <div class="line"><a name="l00086"></a><span class="lineno"> 86</span> </div> <div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordflow">for</span>(Index k2=IsLower ? 0 : size;</div> <div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  IsLower ? k2<size : k2>0;</div> <div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  IsLower ? k2+=kc : k2-=kc)</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>  <span class="keyword">const</span> Index actual_kc = (std::min)(IsLower ? size-k2 : k2, kc);</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">// We have selected and packed a big horizontal panel R1 of rhs. Let B be the packed copy of this panel,</span></div> <div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="comment">// and R2 the remaining part of rhs. The corresponding vertical panel of lhs is split into</span></div> <div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  <span class="comment">// A11 (the triangular part) and A21 the remaining rectangular part.</span></div> <div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="comment">// Then the high level algorithm is:</span></div> <div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="comment">// - B = R1 => general block copy (done during the next step)</span></div> <div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <span class="comment">// - R1 = A11^-1 B => tricky part</span></div> <div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="comment">// - update B from the new R1 => actually this has to be performed continuously during the above step</span></div> <div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="comment">// - R2 -= A21 * B => GEPP</span></div> <div class="line"><a name="l00101"></a><span class="lineno"> 101</span> </div> <div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <span class="comment">// The tricky part: compute R1 = A11^-1 B while updating B from R1</span></div> <div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="comment">// The idea is to split A11 into multiple small vertical panels.</span></div> <div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="comment">// Each panel can be split into a small triangular part T1k which is processed without optimization,</span></div> <div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  <span class="comment">// and the remaining small part T2k which is processed using gebp with appropriate block strides</span></div> <div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keywordflow">for</span>(Index j2=0; j2<cols; j2+=subcols)</div> <div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  {</div> <div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  Index actual_cols = (std::min)(cols-j2,subcols);</div> <div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="comment">// for each small vertical panels [T1k^T, T2k^T]^T of lhs</span></div> <div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  <span class="keywordflow">for</span> (Index k1=0; k1<actual_kc; k1+=SmallPanelWidth)</div> <div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  {</div> <div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  Index actualPanelWidth = std::min<Index>(actual_kc-k1, SmallPanelWidth);</div> <div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="comment">// tr solve</span></div> <div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keywordflow">for</span> (Index k=0; k<actualPanelWidth; ++k)</div> <div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  {</div> <div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="comment">// TODO write a small kernel handling this (can be shared with trsv)</span></div> <div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  Index i = IsLower ? k2+k1+k : k2-k1-k-1;</div> <div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  Index s = IsLower ? k2+k1 : i+1;</div> <div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  Index rs = actualPanelWidth - k - 1; <span class="comment">// remaining size</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>  Scalar a = (Mode & <a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910bab051342541ee4cd3d2d7d710ba7c8a2d">UnitDiag</a>) ? Scalar(1) : Scalar(1)/conj(tri(i,i));</div> <div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="keywordflow">for</span> (Index j=j2; j<j2+actual_cols; ++j)</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="keywordflow">if</span> (TriStorageOrder==<a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a>)</div> <div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  {</div> <div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  Scalar b(0);</div> <div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keyword">const</span> Scalar* l = &tri(i,s);</div> <div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  Scalar* r = &other(s,j);</div> <div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  <span class="keywordflow">for</span> (Index i3=0; i3<k; ++i3)</div> <div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  b += conj(l[i3]) * r[i3];</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>  other(i,j) = (other(i,j) - b)*a;</div> <div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  }</div> <div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <span class="keywordflow">else</span></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>  Index s = IsLower ? i+1 : i-rs;</div> <div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  Scalar b = (other(i,j) *= a);</div> <div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  Scalar* r = &other(s,j);</div> <div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <span class="keyword">const</span> Scalar* l = &tri(s,i);</div> <div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keywordflow">for</span> (Index i3=0;i3<rs;++i3)</div> <div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  r[i3] -= b * conj(l[i3]);</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>  }</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>  Index lengthTarget = actual_kc-k1-actualPanelWidth;</div> <div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  Index startBlock = IsLower ? k2+k1 : k2-k1-actualPanelWidth;</div> <div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  Index blockBOffset = IsLower ? k1 : lengthTarget;</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="comment">// update the respective rows of B from other</span></div> <div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  pack_rhs(blockB+actual_kc*j2, &other(startBlock,j2), otherStride, actualPanelWidth, actual_cols, actual_kc, blockBOffset);</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">// GEBP</span></div> <div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="keywordflow">if</span> (lengthTarget>0)</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>  Index startTarget = IsLower ? k2+k1+actualPanelWidth : k2-actual_kc;</div> <div class="line"><a name="l00157"></a><span class="lineno"> 157</span> </div> <div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  pack_lhs(blockA, &tri(startTarget,startBlock), triStride, actualPanelWidth, lengthTarget);</div> <div class="line"><a name="l00159"></a><span class="lineno"> 159</span> </div> <div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  gebp_kernel(&other(startTarget,j2), otherStride, blockA, blockB+actual_kc*j2, lengthTarget, actualPanelWidth, actual_cols, Scalar(-1),</div> <div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  actualPanelWidth, actual_kc, 0, blockBOffset, blockW);</div> <div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  }</div> <div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  }</div> <div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  }</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>  <span class="comment">// R2 -= A21 * B => GEPP</span></div> <div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  {</div> <div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  Index start = IsLower ? k2+kc : 0;</div> <div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  Index end = IsLower ? size : k2-kc;</div> <div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="keywordflow">for</span>(Index i2=start; i2<end; i2+=mc)</div> <div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  {</div> <div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <span class="keyword">const</span> Index actual_mc = (std::min)(mc,end-i2);</div> <div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <span class="keywordflow">if</span> (actual_mc>0)</div> <div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  {</div> <div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  pack_lhs(blockA, &tri(i2, IsLower ? k2 : k2-kc), triStride, actual_kc, actual_mc);</div> <div class="line"><a name="l00176"></a><span class="lineno"> 176</span> </div> <div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  gebp_kernel(_other+i2, otherStride, blockA, blockB, actual_mc, actual_kc, cols, Scalar(-1), -1, -1, 0, 0, blockW);</div> <div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  }</div> <div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  }</div> <div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  }</div> <div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  }</div> <div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  }</div> <div class="line"><a name="l00183"></a><span class="lineno"> 183</span> </div> <div class="line"><a name="l00184"></a><span class="lineno"> 184</span> <span class="comment">/* Optimized triangular solver with multiple left hand sides and the trinagular matrix on the right</span></div> <div class="line"><a name="l00185"></a><span class="lineno"> 185</span> <span class="comment"> */</span></div> <div class="line"><a name="l00186"></a><span class="lineno"> 186</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> Index, <span class="keywordtype">int</span> Mode, <span class="keywordtype">bool</span> Conjugate, <span class="keywordtype">int</span> TriStorageOrder></div> <div class="line"><a name="l00187"></a><span class="lineno"> 187</span> <span class="keyword">struct </span>triangular_solve_matrix<Scalar,Index,<a class="code" href="group__enums.html#gga3f4a95405348aa63ef907e692901011faeda0d7b1859ec757de18ee3b7c6c541c">OnTheRight</a>,Mode,Conjugate,TriStorageOrder,<a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf">ColMajor</a>></div> <div class="line"><a name="l00188"></a><span class="lineno"> 188</span> {</div> <div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="keyword">static</span> EIGEN_DONT_INLINE <span class="keywordtype">void</span> run(</div> <div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  Index size, Index otherSize,</div> <div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  <span class="keyword">const</span> Scalar* _tri, Index triStride,</div> <div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  Scalar* _other, Index otherStride,</div> <div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  level3_blocking<Scalar,Scalar>& blocking);</div> <div class="line"><a name="l00194"></a><span class="lineno"> 194</span> };</div> <div class="line"><a name="l00195"></a><span class="lineno"> 195</span> <span class="keyword">template</span> <<span class="keyword">typename</span> Scalar, <span class="keyword">typename</span> Index, <span class="keywordtype">int</span> Mode, <span class="keywordtype">bool</span> Conjugate, <span class="keywordtype">int</span> TriStorageOrder></div> <div class="line"><a name="l00196"></a><span class="lineno"> 196</span> EIGEN_DONT_INLINE <span class="keywordtype">void</span> triangular_solve_matrix<Scalar,Index,OnTheRight,Mode,Conjugate,TriStorageOrder,ColMajor>::run(</div> <div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  Index size, Index otherSize,</div> <div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keyword">const</span> Scalar* _tri, Index triStride,</div> <div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  Scalar* _other, Index otherStride,</div> <div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  level3_blocking<Scalar,Scalar>& blocking)</div> <div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  {</div> <div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  Index rows = otherSize;</div> <div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  const_blas_data_mapper<Scalar, Index, TriStorageOrder> rhs(_tri,triStride);</div> <div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  blas_data_mapper<Scalar, Index, ColMajor> lhs(_other,otherStride);</div> <div class="line"><a name="l00205"></a><span class="lineno"> 205</span> </div> <div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="keyword">typedef</span> gebp_traits<Scalar,Scalar> Traits;</div> <div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="keyword">enum</span> {</div> <div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  RhsStorageOrder = TriStorageOrder,</div> <div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  SmallPanelWidth = EIGEN_PLAIN_ENUM_MAX(Traits::mr,Traits::nr),</div> <div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  IsLower = (Mode&<a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910baf886b397626076218462d53d50eb96bc">Lower</a>) == <a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910baf886b397626076218462d53d50eb96bc">Lower</a></div> <div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  };</div> <div class="line"><a name="l00212"></a><span class="lineno"> 212</span> </div> <div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  Index kc = blocking.kc(); <span class="comment">// cache block size along the K direction</span></div> <div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  Index mc = (std::min)(rows,blocking.mc()); <span class="comment">// cache block size along the M direction</span></div> <div class="line"><a name="l00215"></a><span class="lineno"> 215</span> </div> <div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  std::size_t sizeA = kc*mc;</div> <div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  std::size_t sizeB = kc*size;</div> <div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  std::size_t sizeW = kc*Traits::WorkSpaceFactor;</div> <div class="line"><a name="l00219"></a><span class="lineno"> 219</span> </div> <div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  ei_declare_aligned_stack_constructed_variable(Scalar, blockA, sizeA, blocking.blockA());</div> <div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  ei_declare_aligned_stack_constructed_variable(Scalar, blockB, sizeB, blocking.blockB());</div> <div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  ei_declare_aligned_stack_constructed_variable(Scalar, blockW, sizeW, blocking.blockW());</div> <div class="line"><a name="l00223"></a><span class="lineno"> 223</span> </div> <div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  conj_if<Conjugate> conj;</div> <div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  gebp_kernel<Scalar,Scalar, Index, Traits::mr, Traits::nr, false, Conjugate> gebp_kernel;</div> <div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  gemm_pack_rhs<Scalar, Index, Traits::nr,RhsStorageOrder> pack_rhs;</div> <div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  gemm_pack_rhs<Scalar, Index, Traits::nr,RhsStorageOrder,false,true> pack_rhs_panel;</div> <div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  gemm_pack_lhs<Scalar, Index, Traits::mr, Traits::LhsProgress, ColMajor, false, true> pack_lhs_panel;</div> <div class="line"><a name="l00229"></a><span class="lineno"> 229</span> </div> <div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="keywordflow">for</span>(Index k2=IsLower ? size : 0;</div> <div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  IsLower ? k2>0 : k2<size;</div> <div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  IsLower ? k2-=kc : k2+=kc)</div> <div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  {</div> <div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <span class="keyword">const</span> Index actual_kc = (std::min)(IsLower ? k2 : size-k2, kc);</div> <div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  Index actual_k2 = IsLower ? k2-actual_kc : k2 ;</div> <div class="line"><a name="l00236"></a><span class="lineno"> 236</span> </div> <div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  Index startPanel = IsLower ? 0 : k2+actual_kc;</div> <div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  Index rs = IsLower ? actual_k2 : size - actual_k2 - actual_kc;</div> <div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  Scalar* geb = blockB+actual_kc*actual_kc;</div> <div class="line"><a name="l00240"></a><span class="lineno"> 240</span> </div> <div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <span class="keywordflow">if</span> (rs>0) pack_rhs(geb, &rhs(actual_k2,startPanel), triStride, actual_kc, rs);</div> <div class="line"><a name="l00242"></a><span class="lineno"> 242</span> </div> <div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <span class="comment">// triangular packing (we only pack the panels off the diagonal,</span></div> <div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="comment">// neglecting the blocks overlapping the diagonal</span></div> <div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  {</div> <div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="keywordflow">for</span> (Index j2=0; j2<actual_kc; j2+=SmallPanelWidth)</div> <div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  {</div> <div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  Index actualPanelWidth = std::min<Index>(actual_kc-j2, SmallPanelWidth);</div> <div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  Index actual_j2 = actual_k2 + j2;</div> <div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  Index panelOffset = IsLower ? j2+actualPanelWidth : 0;</div> <div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  Index panelLength = IsLower ? actual_kc-j2-actualPanelWidth : j2;</div> <div class="line"><a name="l00252"></a><span class="lineno"> 252</span> </div> <div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="keywordflow">if</span> (panelLength>0)</div> <div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  pack_rhs_panel(blockB+j2*actual_kc,</div> <div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  &rhs(actual_k2+panelOffset, actual_j2), triStride,</div> <div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  panelLength, actualPanelWidth,</div> <div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  actual_kc, panelOffset);</div> <div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  }</div> <div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  }</div> <div class="line"><a name="l00260"></a><span class="lineno"> 260</span> </div> <div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <span class="keywordflow">for</span>(Index i2=0; i2<rows; i2+=mc)</div> <div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  {</div> <div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <span class="keyword">const</span> Index actual_mc = (std::min)(mc,rows-i2);</div> <div class="line"><a name="l00264"></a><span class="lineno"> 264</span> </div> <div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  <span class="comment">// triangular solver kernel</span></div> <div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  {</div> <div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  <span class="comment">// for each small block of the diagonal (=> vertical panels of rhs)</span></div> <div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="keywordflow">for</span> (Index j2 = IsLower</div> <div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  ? (actual_kc - ((actual_kc%SmallPanelWidth) ? Index(actual_kc%SmallPanelWidth)</div> <div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  : Index(SmallPanelWidth)))</div> <div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  : 0;</div> <div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  IsLower ? j2>=0 : j2<actual_kc;</div> <div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  IsLower ? j2-=SmallPanelWidth : j2+=SmallPanelWidth)</div> <div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  {</div> <div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  Index actualPanelWidth = std::min<Index>(actual_kc-j2, SmallPanelWidth);</div> <div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  Index absolute_j2 = actual_k2 + j2;</div> <div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  Index panelOffset = IsLower ? j2+actualPanelWidth : 0;</div> <div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  Index panelLength = IsLower ? actual_kc - j2 - actualPanelWidth : j2;</div> <div class="line"><a name="l00279"></a><span class="lineno"> 279</span> </div> <div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <span class="comment">// GEBP</span></div> <div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="keywordflow">if</span>(panelLength>0)</div> <div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  {</div> <div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  gebp_kernel(&lhs(i2,absolute_j2), otherStride,</div> <div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  blockA, blockB+j2*actual_kc,</div> <div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  actual_mc, panelLength, actualPanelWidth,</div> <div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  Scalar(-1),</div> <div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  actual_kc, actual_kc, <span class="comment">// strides</span></div> <div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  panelOffset, panelOffset, <span class="comment">// offsets</span></div> <div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  blockW); <span class="comment">// workspace</span></div> <div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  }</div> <div class="line"><a name="l00291"></a><span class="lineno"> 291</span> </div> <div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  <span class="comment">// unblocked triangular solve</span></div> <div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  <span class="keywordflow">for</span> (Index k=0; k<actualPanelWidth; ++k)</div> <div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  {</div> <div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  Index j = IsLower ? absolute_j2+actualPanelWidth-k-1 : absolute_j2+k;</div> <div class="line"><a name="l00296"></a><span class="lineno"> 296</span> </div> <div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  Scalar* r = &lhs(i2,j);</div> <div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <span class="keywordflow">for</span> (Index k3=0; k3<k; ++k3)</div> <div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  {</div> <div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  Scalar b = conj(rhs(IsLower ? j+1+k3 : absolute_j2+k3,j));</div> <div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  Scalar* a = &lhs(i2,IsLower ? j+1+k3 : absolute_j2+k3);</div> <div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  <span class="keywordflow">for</span> (Index i=0; i<actual_mc; ++i)</div> <div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  r[i] -= a[i] * b;</div> <div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  }</div> <div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  Scalar b = (Mode & <a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910bab051342541ee4cd3d2d7d710ba7c8a2d">UnitDiag</a>) ? Scalar(1) : Scalar(1)/conj(rhs(j,j));</div> <div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  <span class="keywordflow">for</span> (Index i=0; i<actual_mc; ++i)</div> <div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  r[i] *= b;</div> <div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  }</div> <div class="line"><a name="l00309"></a><span class="lineno"> 309</span> </div> <div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  <span class="comment">// pack the just computed part of lhs to A</span></div> <div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  pack_lhs_panel(blockA, _other+absolute_j2*otherStride+i2, otherStride,</div> <div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  actualPanelWidth, actual_mc,</div> <div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  actual_kc, j2);</div> <div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  }</div> <div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  }</div> <div class="line"><a name="l00316"></a><span class="lineno"> 316</span> </div> <div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  <span class="keywordflow">if</span> (rs>0)</div> <div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  gebp_kernel(_other+i2+startPanel*otherStride, otherStride, blockA, geb,</div> <div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  actual_mc, actual_kc, rs, Scalar(-1),</div> <div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  -1, -1, 0, 0, blockW);</div> <div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  }</div> <div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  }</div> <div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  }</div> <div class="line"><a name="l00324"></a><span class="lineno"> 324</span> </div> <div class="line"><a name="l00325"></a><span class="lineno"> 325</span> } <span class="comment">// end namespace internal</span></div> <div class="line"><a name="l00326"></a><span class="lineno"> 326</span> </div> <div class="line"><a name="l00327"></a><span class="lineno"> 327</span> } <span class="comment">// end namespace Eigen</span></div> <div class="line"><a name="l00328"></a><span class="lineno"> 328</span> </div> <div class="line"><a name="l00329"></a><span class="lineno"> 329</span> <span class="preprocessor">#endif // EIGEN_TRIANGULAR_SOLVER_MATRIX_H</span></div> <div class="ttc" id="group__enums_html_gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044"><div class="ttname"><a href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">Eigen::RowMajor</a></div><div class="ttdef"><b>Definition:</b> Constants.h:266</div></div> <div class="ttc" id="group__enums_html_gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf"><div class="ttname"><a href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf">Eigen::ColMajor</a></div><div class="ttdef"><b>Definition:</b> Constants.h:264</div></div> <div class="ttc" id="group__enums_html_ggab59c1bec446b10af208f977a871d910bab051342541ee4cd3d2d7d710ba7c8a2d"><div class="ttname"><a href="group__enums.html#ggab59c1bec446b10af208f977a871d910bab051342541ee4cd3d2d7d710ba7c8a2d">Eigen::UnitDiag</a></div><div class="ttdef"><b>Definition:</b> Constants.h:171</div></div> <div class="ttc" id="group__enums_html_gga3f4a95405348aa63ef907e692901011faeda0d7b1859ec757de18ee3b7c6c541c"><div class="ttname"><a href="group__enums.html#gga3f4a95405348aa63ef907e692901011faeda0d7b1859ec757de18ee3b7c6c541c">Eigen::OnTheRight</a></div><div class="ttdef"><b>Definition:</b> Constants.h:279</div></div> <div class="ttc" id="group__enums_html_ggab59c1bec446b10af208f977a871d910bae70afef0d3ff7aca74e17e85ff6c9f2e"><div class="ttname"><a href="group__enums.html#ggab59c1bec446b10af208f977a871d910bae70afef0d3ff7aca74e17e85ff6c9f2e">Eigen::Upper</a></div><div class="ttdef"><b>Definition:</b> Constants.h:169</div></div> <div class="ttc" id="group__enums_html_ggab59c1bec446b10af208f977a871d910baf886b397626076218462d53d50eb96bc"><div class="ttname"><a href="group__enums.html#ggab59c1bec446b10af208f977a871d910baf886b397626076218462d53d50eb96bc">Eigen::Lower</a></div><div class="ttdef"><b>Definition:</b> Constants.h:167</div></div> <div class="ttc" id="group__enums_html_gga3f4a95405348aa63ef907e692901011fa02217d2d79111440646e3b00c747745f"><div class="ttname"><a href="group__enums.html#gga3f4a95405348aa63ef907e692901011fa02217d2d79111440646e3b00c747745f">Eigen::OnTheLeft</a></div><div class="ttdef"><b>Definition:</b> Constants.h:277</div></div> </div><!-- fragment --></div><!-- contents --> </div><!-- doc-content --> <!-- start footer part --> <div id="nav-path" class="navpath"><!-- id is needed for treeview function! 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