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<div class="title">SolveTriangular.h</div> </div>
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<div class="fragment"><div class="line"><a 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 name="l00002"></a><span class="lineno"> 2</span> <span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment">// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr></span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="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_SOLVETRIANGULAR_H</span></div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor"></span><span class="preprocessor">#define EIGEN_SOLVETRIANGULAR_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">// Forward declarations:</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment">// The following two routines are implemented in the products/TriangularSolver*.h files</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="keyword">template</span><<span class="keyword">typename</span> LhsScalar, <span class="keyword">typename</span> RhsScalar, <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> StorageOrder></div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="keyword">struct </span>triangular_solve_vector;</div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> </div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</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, <span class="keywordtype">int</span> OtherStorageOrder></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="keyword">struct </span>triangular_solve_matrix;</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> <span class="comment">// small helper struct extracting some traits on the underlying solver operation</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="keyword">template</span><<span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs, <span class="keywordtype">int</span> S<span class="keywordtype">id</span>e></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="keyword">class </span>trsolve_traits</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="keyword">private</span>:</div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  RhsIsVectorAtCompileTime = (Side==<a class="code" href="group__enums.html#gga3f4a95405348aa63ef907e692901011fa02217d2d79111440646e3b00c747745f">OnTheLeft</a> ? Rhs::ColsAtCompileTime : Rhs::RowsAtCompileTime)==1</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  };</div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  Unrolling = (RhsIsVectorAtCompileTime && Rhs::SizeAtCompileTime != <a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a> && Rhs::SizeAtCompileTime <= 8)</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  ? CompleteUnrolling : NoUnrolling,</div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  RhsVectors = RhsIsVectorAtCompileTime ? 1 : <a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  };</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> };</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> </div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="keyword">template</span><<span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs,</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <span class="keywordtype">int</span> Side, <span class="comment">// can be OnTheLeft/OnTheRight</span></div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  <span class="keywordtype">int</span> Mode, <span class="comment">// can be Upper/Lower | UnitDiag</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  <span class="keywordtype">int</span> Unrolling = trsolve_traits<Lhs,Rhs,Side>::Unrolling,</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keywordtype">int</span> RhsVectors = trsolve_traits<Lhs,Rhs,Side>::RhsVectors</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">struct </span>triangular_solver_selector;</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="keyword">template</span><<span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs, <span class="keywordtype">int</span> S<span class="keywordtype">id</span>e, <span class="keywordtype">int</span> Mode></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="keyword">struct </span>triangular_solver_selector<Lhs,Rhs,Side,Mode,NoUnrolling,1></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> {</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> Lhs::Scalar LhsScalar;</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> Rhs::Scalar RhsScalar;</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keyword">typedef</span> blas_traits<Lhs> LhsProductTraits;</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> LhsProductTraits::ExtractType ActualLhsType;</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keyword">typedef</span> Map<Matrix<RhsScalar,Dynamic,1>, <a class="code" href="group__enums.html#gga456ac33d49271d3e2c371351cd1d6371ad5380ca00f3d74b38593adf8a0d06d3e">Aligned</a>> MappedRhs;</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> run(<span class="keyword">const</span> Lhs& lhs, Rhs& rhs)</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>  ActualLhsType actualLhs = LhsProductTraits::extract(lhs);</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> </div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="comment">// FIXME find a way to allow an inner stride if packet_traits<Scalar>::size==1</span></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>  <span class="keywordtype">bool</span> useRhsDirectly = Rhs::InnerStrideAtCompileTime==1 || rhs.innerStride()==1;</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>  ei_declare_aligned_stack_constructed_variable(RhsScalar,actualRhs,rhs.size(),</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  (useRhsDirectly ? rhs.data() : 0));</div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  </div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <span class="keywordflow">if</span>(!useRhsDirectly)</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  MappedRhs(actualRhs,rhs.size()) = rhs;</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>  triangular_solve_vector<LhsScalar, RhsScalar, <span class="keyword">typename</span> Lhs::Index, Side, Mode, LhsProductTraits::NeedToConjugate,</div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  (int(Lhs::Flags) & <a class="code" href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">RowMajorBit</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="l00073"></a><span class="lineno"> 73</span>  ::run(actualLhs.cols(), actualLhs.data(), actualLhs.outerStride(), actualRhs);</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>  <span class="keywordflow">if</span>(!useRhsDirectly)</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  rhs = MappedRhs(actualRhs, rhs.size());</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  }</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> </div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="comment">// the rhs is a matrix</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="keyword">template</span><<span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs, <span class="keywordtype">int</span> S<span class="keywordtype">id</span>e, <span class="keywordtype">int</span> Mode></div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span> <span class="keyword">struct </span>triangular_solver_selector<Lhs,Rhs,Side,Mode,NoUnrolling,<a class="code" href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Dynamic</a>></div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span> {</div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> Rhs::Scalar Scalar;</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> Rhs::Index Index;</div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <span class="keyword">typedef</span> blas_traits<Lhs> LhsProductTraits;</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> LhsProductTraits::DirectLinearAccessType ActualLhsType;</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span> </div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> run(<span class="keyword">const</span> Lhs& lhs, Rhs& rhs)</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">typename</span> internal::add_const_on_value_type<ActualLhsType>::type actualLhs = LhsProductTraits::extract(lhs);</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="keyword">const</span> Index size = lhs.rows();</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keyword">const</span> Index othersize = Side==<a class="code" href="group__enums.html#gga3f4a95405348aa63ef907e692901011fa02217d2d79111440646e3b00c747745f">OnTheLeft</a>? rhs.cols() : rhs.rows();</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> </div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <span class="keyword">typedef</span> internal::gemm_blocking_space<(Rhs::Flags&<a class="code" href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">RowMajorBit</a>) ? <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a> : <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcdac86184b0e3be936fbfd20249a057a0bf">ColMajor</a>,Scalar,Scalar,</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  Rhs::MaxRowsAtCompileTime, Rhs::MaxColsAtCompileTime, Lhs::MaxRowsAtCompileTime,4> BlockingType;</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> </div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  BlockingType blocking(rhs.rows(), rhs.cols(), size);</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span> </div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  triangular_solve_matrix<Scalar,Index,Side,Mode,LhsProductTraits::NeedToConjugate,(int(Lhs::Flags) & <a class="code" href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">RowMajorBit</a>) ? <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a> : ColMajor,</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  (Rhs::Flags&<a class="code" href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">RowMajorBit</a>) ? <a class="code" href="group__enums.html#gga0c5bde183ecefe103f70b49ad9740bcda1e16fa1b92ed7a058cd4ce7a9a0db044">RowMajor</a> : ColMajor></div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  ::run(size, othersize, &actualLhs.coeffRef(0,0), actualLhs.outerStride(), &rhs.coeffRef(0,0), rhs.outerStride(), blocking);</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  }</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> };</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> </div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span> <span class="comment">/***************************************************************************</span></div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="comment">* meta-unrolling implementation</span></div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="comment">***************************************************************************/</span></div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> </div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="keyword">template</span><<span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Index, <span class="keywordtype">int</span> Size,</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="keywordtype">bool</span> Stop = Index==Size></div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span> <span class="keyword">struct </span>triangular_solver_unroller;</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> </div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="keyword">template</span><<span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Index, <span class="keywordtype">int</span> Size></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="keyword">struct </span>triangular_solver_unroller<Lhs,Rhs,Mode,Index,Size,false> {</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <span class="keyword">enum</span> {</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</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="l00119"></a><span class="lineno"> 119</span>  I = IsLower ? Index : Size - Index - 1,</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  S = IsLower ? 0 : I+1</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  };</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> run(<span class="keyword">const</span> Lhs& lhs, Rhs& rhs)</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> (Index>0)</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  rhs.coeffRef(I) -= lhs.row(I).template segment<Index>(S).transpose()</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  .cwiseProduct(rhs.template segment<Index>(S)).sum();</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> </div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keywordflow">if</span>(!(Mode & <a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910bab051342541ee4cd3d2d7d710ba7c8a2d">UnitDiag</a>))</div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  rhs.coeffRef(I) /= lhs.coeff(I,I);</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span> </div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  triangular_solver_unroller<Lhs,Rhs,Mode,Index+1,Size>::run(lhs,rhs);</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> };</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> </div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> <span class="keyword">template</span><<span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs, <span class="keywordtype">int</span> Mode, <span class="keywordtype">int</span> Index, <span class="keywordtype">int</span> Size></div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="keyword">struct </span>triangular_solver_unroller<Lhs,Rhs,Mode,Index,Size,true> {</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> run(<span class="keyword">const</span> Lhs&, Rhs&) {}</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span> };</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span> </div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span> <span class="keyword">template</span><<span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs, <span class="keywordtype">int</span> Mode></div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span> <span class="keyword">struct </span>triangular_solver_selector<Lhs,Rhs,<a class="code" href="group__enums.html#gga3f4a95405348aa63ef907e692901011fa02217d2d79111440646e3b00c747745f">OnTheLeft</a>,Mode,CompleteUnrolling,1> {</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> run(<span class="keyword">const</span> Lhs& lhs, Rhs& rhs)</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  { triangular_solver_unroller<Lhs,Rhs,Mode,0,Rhs::SizeAtCompileTime>::run(lhs,rhs); }</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> <span class="keyword">template</span><<span class="keyword">typename</span> Lhs, <span class="keyword">typename</span> Rhs, <span class="keywordtype">int</span> Mode></div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span> <span class="keyword">struct </span>triangular_solver_selector<Lhs,Rhs,<a class="code" href="group__enums.html#gga3f4a95405348aa63ef907e692901011faeda0d7b1859ec757de18ee3b7c6c541c">OnTheRight</a>,Mode,CompleteUnrolling,1> {</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keyword">static</span> <span class="keywordtype">void</span> run(<span class="keyword">const</span> Lhs& lhs, Rhs& rhs)</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>  Transpose<const Lhs> trLhs(lhs);</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  Transpose<Rhs> trRhs(rhs);</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>  triangular_solver_unroller<Transpose<const Lhs>,Transpose<Rhs>,</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  ((Mode&<a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910bae70afef0d3ff7aca74e17e85ff6c9f2e">Upper</a>)==<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>) | (Mode&<a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910bab051342541ee4cd3d2d7d710ba7c8a2d">UnitDiag</a>),</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  0,Rhs::SizeAtCompileTime>::run(trLhs,trRhs);</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  }</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> </div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> } <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span> </div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> <span class="comment">/***************************************************************************</span></div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span> <span class="comment">* TriangularView methods</span></div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="comment">***************************************************************************/</span></div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> </div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> <span class="keyword">template</span><<span class="keyword">typename</span> MatrixType, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> Mode></div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> <span class="keyword">template</span><<span class="keywordtype">int</span> S<span class="keywordtype">id</span>e, <span class="keyword">typename</span> OtherDerived></div>
<div class="line"><a name="l00174"></a><span class="lineno"><a class="line" href="classEigen_1_1TriangularView.html#a136a6a60e421673ac17e8c4cfd51681b"> 174</a></span> <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1TriangularView.html#a136a6a60e421673ac17e8c4cfd51681b">TriangularView<MatrixType,Mode>::solveInPlace</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase<OtherDerived></a>& _other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  OtherDerived& other = _other.const_cast_derived();</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  eigen_assert( cols() == rows() && ((Side==<a class="code" href="group__enums.html#gga3f4a95405348aa63ef907e692901011fa02217d2d79111440646e3b00c747745f">OnTheLeft</a> && cols() == other.rows()) || (Side==<a class="code" href="group__enums.html#gga3f4a95405348aa63ef907e692901011faeda0d7b1859ec757de18ee3b7c6c541c">OnTheRight</a> && cols() == other.cols())) );</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  eigen_assert((!(Mode & <a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910ba72b90f18314e6abbe9193224547df48d">ZeroDiag</a>)) && <span class="keywordtype">bool</span>(Mode & (<a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910bae70afef0d3ff7aca74e17e85ff6c9f2e">Upper</a>|<a class="code" href="group__enums.html#ggab59c1bec446b10af208f977a871d910baf886b397626076218462d53d50eb96bc">Lower</a>)));</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>  <span class="keyword">enum</span> { copy = internal::traits<OtherDerived>::Flags & RowMajorBit && OtherDerived::IsVectorAtCompileTime };</div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> internal::conditional<copy,</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  <span class="keyword">typename</span> <a class="code" href="classEigen_1_1Matrix.html">internal::plain_matrix_type_column_major<OtherDerived>::type</a>, OtherDerived&>::type OtherCopy;</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  OtherCopy otherCopy(other);</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span> </div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  internal::triangular_solver_selector<MatrixType, typename internal::remove_reference<OtherCopy>::type,</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  Side, Mode>::run(nestedExpression(), otherCopy);</div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span> </div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  <span class="keywordflow">if</span> (copy)</div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  other = otherCopy;</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span> }</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> </div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span> <span class="keyword">template</span><<span class="keyword">typename</span> Derived, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> Mode></div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span> <span class="keyword">template</span><<span class="keywordtype">int</span> S<span class="keywordtype">id</span>e, <span class="keyword">typename</span> Other></div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span> <span class="keyword">const</span> internal::triangular_solve_retval<Side,TriangularView<Derived,Mode>,Other></div>
<div class="line"><a name="l00216"></a><span class="lineno"><a class="line" href="classEigen_1_1TriangularView.html#aa4a11ffc4c8895aaec7ca00668e18c84"> 216</a></span> <a class="code" href="classEigen_1_1TriangularView.html">TriangularView<Derived,Mode>::solve</a>(<span class="keyword">const</span> <a class="code" href="classEigen_1_1MatrixBase.html">MatrixBase<Other></a>& other)<span class="keyword"> const</span></div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> <span class="keyword"></span>{</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="keywordflow">return</span> internal::triangular_solve_retval<Side,TriangularView,Other>(*<span class="keyword">this</span>, other.derived());</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> </div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span> <span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span> </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> <span class="keyword">template</span><<span class="keywordtype">int</span> S<span class="keywordtype">id</span>e, <span class="keyword">typename</span> TriangularType, <span class="keyword">typename</span> Rhs></div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> <span class="keyword">struct </span>traits<triangular_solve_retval<Side, TriangularType, Rhs> ></div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span> {</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="classEigen_1_1Matrix.html">internal::plain_matrix_type_column_major<Rhs>::type</a> ReturnType;</div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span> };</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="keyword">template</span><<span class="keywordtype">int</span> S<span class="keywordtype">id</span>e, <span class="keyword">typename</span> TriangularType, <span class="keyword">typename</span> Rhs> <span class="keyword">struct </span>triangular_solve_retval</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  : <span class="keyword">public</span> ReturnByValue<triangular_solve_retval<Side, TriangularType, Rhs> ></div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span> {</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> remove_all<typename Rhs::Nested>::type RhsNestedCleaned;</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <span class="keyword">typedef</span> ReturnByValue<triangular_solve_retval> Base;</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  <span class="keyword">typedef</span> <span class="keyword">typename</span> Base::Index Index;</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>  triangular_solve_retval(<span class="keyword">const</span> TriangularType& tri, <span class="keyword">const</span> Rhs& rhs)</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  : m_triangularMatrix(tri), m_rhs(rhs)</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  {}</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="keyword">inline</span> Index rows()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_rhs.rows(); }</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <span class="keyword">inline</span> Index cols()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> m_rhs.cols(); }</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span> </div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</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="l00245"></a><span class="lineno"> 245</span> <span class="keyword"> </span>{</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="keywordflow">if</span>(!(is_same<RhsNestedCleaned,Dest>::value && extract_data(dst) == extract_data(m_rhs)))</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  dst = m_rhs;</div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  m_triangularMatrix.template solveInPlace<Side>(dst);</div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  }</div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span> </div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keyword">const</span> TriangularType& m_triangularMatrix;</div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="keyword">typename</span> Rhs::Nested m_rhs;</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span> };</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span> </div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span> } <span class="comment">// namespace internal</span></div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span> </div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span> } <span class="comment">// end namespace Eigen</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> <span class="preprocessor">#endif // EIGEN_SOLVETRIANGULAR_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="classEigen_1_1TriangularView_html_a136a6a60e421673ac17e8c4cfd51681b"><div class="ttname"><a href="classEigen_1_1TriangularView.html#a136a6a60e421673ac17e8c4cfd51681b">Eigen::TriangularView::solveInPlace</a></div><div class="ttdeci">void solveInPlace(const MatrixBase< OtherDerived > &other) const </div><div class="ttdef"><b>Definition:</b> SolveTriangular.h:174</div></div>
<div class="ttc" id="namespaceEigen_html_adc9da5be31bdce40c25a92c27999c0e3"><div class="ttname"><a href="namespaceEigen.html#adc9da5be31bdce40c25a92c27999c0e3">Eigen::Dynamic</a></div><div class="ttdeci">const int Dynamic</div><div class="ttdef"><b>Definition:</b> Constants.h:21</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_ggab59c1bec446b10af208f977a871d910ba72b90f18314e6abbe9193224547df48d"><div class="ttname"><a href="group__enums.html#ggab59c1bec446b10af208f977a871d910ba72b90f18314e6abbe9193224547df48d">Eigen::ZeroDiag</a></div><div class="ttdef"><b>Definition:</b> Constants.h:173</div></div>
<div class="ttc" id="group__enums_html_gga456ac33d49271d3e2c371351cd1d6371ad5380ca00f3d74b38593adf8a0d06d3e"><div class="ttname"><a href="group__enums.html#gga456ac33d49271d3e2c371351cd1d6371ad5380ca00f3d74b38593adf8a0d06d3e">Eigen::Aligned</a></div><div class="ttdef"><b>Definition:</b> Constants.h:194</div></div>
<div class="ttc" id="classEigen_1_1TriangularView_html"><div class="ttname"><a href="classEigen_1_1TriangularView.html">Eigen::TriangularView</a></div><div class="ttdoc">Base class for triangular part in a matrix. </div><div class="ttdef"><b>Definition:</b> TriangularMatrix.h:158</div></div>
<div class="ttc" id="group__flags_html_ga7bd49e7b260e869e10fb9dc4fd081a85"><div class="ttname"><a href="group__flags.html#ga7bd49e7b260e869e10fb9dc4fd081a85">Eigen::RowMajorBit</a></div><div class="ttdeci">const unsigned int RowMajorBit</div><div class="ttdef"><b>Definition:</b> Constants.h:53</div></div>
<div class="ttc" id="classEigen_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:127</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 class="ttc" id="classEigen_1_1MatrixBase_html"><div class="ttname"><a href="classEigen_1_1MatrixBase.html">Eigen::MatrixBase</a></div><div class="ttdoc">Base class for all dense matrices, vectors, and expressions. </div><div class="ttdef"><b>Definition:</b> MatrixBase.h:48</div></div>
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