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All rights reserved.</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"> Redistribution and use in source and binary forms, with or without modification,</span></div> <div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> are permitted provided that the following conditions are met:</span></div> <div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"></span></div> <div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> * Redistributions of source code must retain the above copyright notice, this</span></div> <div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> list of conditions and the following disclaimer.</span></div> <div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="comment"> * Redistributions in binary form must reproduce the above copyright notice,</span></div> <div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="comment"> this list of conditions and the following disclaimer in the documentation</span></div> <div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="comment"> and/or other materials provided with the distribution.</span></div> <div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="comment"> * Neither the name of Intel Corporation nor the names of its contributors may</span></div> <div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="comment"> be used to endorse or promote products derived from this software without</span></div> <div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"> specific prior written permission.</span></div> <div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment"></span></div> <div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND</span></div> <div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED</span></div> <div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE</span></div> <div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR</span></div> <div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment"> ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES</span></div> <div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment"> (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;</span></div> <div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment"> LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON</span></div> <div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment"> ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT</span></div> <div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment"> (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS</span></div> <div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment"> SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.</span></div> <div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="comment"></span></div> <div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment"> ********************************************************************************</span></div> <div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment"> * Content : Eigen bindings to Intel(R) MKL</span></div> <div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment"> * Triangular matrix * matrix product functionality based on ?TRMM.</span></div> <div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment"> ********************************************************************************</span></div> <div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment">*/</span></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="preprocessor">#ifndef EIGEN_TRIANGULAR_SOLVER_MATRIX_MKL_H</span></div> <div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="preprocessor"></span><span class="preprocessor">#define EIGEN_TRIANGULAR_SOLVER_MATRIX_MKL_H</span></div> <div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="preprocessor"></span></div> <div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="keyword">namespace </span>Eigen {</div> <div class="line"><a name="l00037"></a><span class="lineno"> 37</span> </div> <div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="keyword">namespace </span>internal {</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> <span class="comment">// implements LeftSide op(triangular)^-1 * general</span></div> <div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="preprocessor">#define EIGEN_MKL_TRSM_L(EIGTYPE, MKLTYPE, MKLPREFIX) \</span></div> <div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="preprocessor">template <typename Index, int Mode, bool Conjugate, int TriStorageOrder> \</span></div> <div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="preprocessor">struct triangular_solve_matrix<EIGTYPE,Index,OnTheLeft,Mode,Conjugate,TriStorageOrder,ColMajor> \</span></div> <div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="preprocessor">{ \</span></div> <div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="preprocessor"> enum { \</span></div> <div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="preprocessor"> IsLower = (Mode&Lower) == Lower, \</span></div> <div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="preprocessor"> IsUnitDiag = (Mode&UnitDiag) ? 1 : 0, \</span></div> <div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="preprocessor"> IsZeroDiag = (Mode&ZeroDiag) ? 1 : 0, \</span></div> <div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="preprocessor"> conjA = ((TriStorageOrder==ColMajor) && Conjugate) ? 1 : 0 \</span></div> <div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="preprocessor"> }; \</span></div> <div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="preprocessor"> static void run( \</span></div> <div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="preprocessor"> Index size, Index otherSize, \</span></div> <div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="preprocessor"> const EIGTYPE* _tri, Index triStride, \</span></div> <div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="preprocessor"> EIGTYPE* _other, Index otherStride, level3_blocking<EIGTYPE,EIGTYPE>& </span><span class="comment">/*blocking*/</span><span class="preprocessor">) \</span></div> <div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="preprocessor"> { \</span></div> <div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="preprocessor"> MKL_INT m = size, n = otherSize, lda, ldb; \</span></div> <div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="preprocessor"> char side = 'L', uplo, diag='N', transa; \</span></div> <div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="preprocessor"> </span><span class="comment">/* Set alpha_ */</span><span class="preprocessor"> \</span></div> <div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="preprocessor"> MKLTYPE alpha; \</span></div> <div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="preprocessor"> EIGTYPE myone(1); \</span></div> <div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="preprocessor"> assign_scalar_eig2mkl(alpha, myone); \</span></div> <div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="preprocessor"> ldb = otherStride;\</span></div> <div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="preprocessor">\</span></div> <div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="preprocessor"> const EIGTYPE *a; \</span></div> <div class="line"><a name="l00065"></a><span class="lineno"> 65</span> <span class="preprocessor"></span><span class="comment">/* Set trans */</span><span class="preprocessor"> \</span></div> <div class="line"><a name="l00066"></a><span class="lineno"> 66</span> <span class="preprocessor"> transa = (TriStorageOrder==RowMajor) ? ((Conjugate) ? 'C' : 'T') : 'N'; \</span></div> <div class="line"><a name="l00067"></a><span class="lineno"> 67</span> <span class="preprocessor"></span><span class="comment">/* Set uplo */</span><span class="preprocessor"> \</span></div> <div class="line"><a name="l00068"></a><span class="lineno"> 68</span> <span class="preprocessor"> uplo = IsLower ? 'L' : 'U'; \</span></div> <div class="line"><a name="l00069"></a><span class="lineno"> 69</span> <span class="preprocessor"> if (TriStorageOrder==RowMajor) uplo = (uplo == 'L') ? 'U' : 'L'; \</span></div> <div class="line"><a name="l00070"></a><span class="lineno"> 70</span> <span class="preprocessor"></span><span class="comment">/* Set a, lda */</span><span class="preprocessor"> \</span></div> <div class="line"><a name="l00071"></a><span class="lineno"> 71</span> <span class="preprocessor"> typedef Matrix<EIGTYPE, Dynamic, Dynamic, TriStorageOrder> MatrixTri; \</span></div> <div class="line"><a name="l00072"></a><span class="lineno"> 72</span> <span class="preprocessor"> Map<const MatrixTri, 0, OuterStride<> > tri(_tri,size,size,OuterStride<>(triStride)); \</span></div> <div class="line"><a name="l00073"></a><span class="lineno"> 73</span> <span class="preprocessor"> MatrixTri a_tmp; \</span></div> <div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="preprocessor">\</span></div> <div class="line"><a name="l00075"></a><span class="lineno"> 75</span> <span class="preprocessor"> if (conjA) { \</span></div> <div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="preprocessor"> a_tmp = tri.conjugate(); \</span></div> <div class="line"><a name="l00077"></a><span class="lineno"> 77</span> <span class="preprocessor"> a = a_tmp.data(); \</span></div> <div class="line"><a name="l00078"></a><span class="lineno"> 78</span> <span class="preprocessor"> lda = a_tmp.outerStride(); \</span></div> <div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="preprocessor"> } else { \</span></div> <div class="line"><a name="l00080"></a><span class="lineno"> 80</span> <span class="preprocessor"> a = _tri; \</span></div> <div class="line"><a name="l00081"></a><span class="lineno"> 81</span> <span class="preprocessor"> lda = triStride; \</span></div> <div class="line"><a name="l00082"></a><span class="lineno"> 82</span> <span class="preprocessor"> } \</span></div> <div class="line"><a name="l00083"></a><span class="lineno"> 83</span> <span class="preprocessor"> if (IsUnitDiag) diag='U'; \</span></div> <div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="preprocessor"></span><span class="comment">/* call ?trsm*/</span><span class="preprocessor"> \</span></div> <div class="line"><a name="l00085"></a><span class="lineno"> 85</span> <span class="preprocessor"> MKLPREFIX##trsm(&side, &uplo, &transa, &diag, &m, &n, &alpha, (const MKLTYPE*)a, &lda, (MKLTYPE*)_other, &ldb); \</span></div> <div class="line"><a name="l00086"></a><span class="lineno"> 86</span> <span class="preprocessor"> } \</span></div> <div class="line"><a name="l00087"></a><span class="lineno"> 87</span> <span class="preprocessor">};</span></div> <div class="line"><a name="l00088"></a><span class="lineno"> 88</span> <span class="preprocessor"></span></div> <div class="line"><a name="l00089"></a><span class="lineno"> 89</span> EIGEN_MKL_TRSM_L(<span class="keywordtype">double</span>, <span class="keywordtype">double</span>, d)</div> <div class="line"><a name="l00090"></a><span class="lineno"> 90</span> EIGEN_MKL_TRSM_L(dcomplex, MKL_Complex16, z)</div> <div class="line"><a name="l00091"></a><span class="lineno"> 91</span> EIGEN_MKL_TRSM_L(<span class="keywordtype">float</span>, <span class="keywordtype">float</span>, s)</div> <div class="line"><a name="l00092"></a><span class="lineno"> 92</span> EIGEN_MKL_TRSM_L(scomplex, MKL_Complex8, c)</div> <div class="line"><a name="l00093"></a><span class="lineno"> 93</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="comment">// implements RightSide general * op(triangular)^-1</span></div> <div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="preprocessor">#define EIGEN_MKL_TRSM_R(EIGTYPE, MKLTYPE, MKLPREFIX) \</span></div> <div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="preprocessor">template <typename Index, int Mode, bool Conjugate, int TriStorageOrder> \</span></div> <div class="line"><a name="l00098"></a><span class="lineno"> 98</span> <span class="preprocessor">struct triangular_solve_matrix<EIGTYPE,Index,OnTheRight,Mode,Conjugate,TriStorageOrder,ColMajor> \</span></div> <div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="preprocessor">{ \</span></div> <div class="line"><a name="l00100"></a><span class="lineno"> 100</span> <span class="preprocessor"> enum { \</span></div> <div class="line"><a name="l00101"></a><span class="lineno"> 101</span> <span class="preprocessor"> IsLower = (Mode&Lower) == Lower, \</span></div> <div class="line"><a name="l00102"></a><span class="lineno"> 102</span> <span class="preprocessor"> IsUnitDiag = (Mode&UnitDiag) ? 1 : 0, \</span></div> <div class="line"><a name="l00103"></a><span class="lineno"> 103</span> <span class="preprocessor"> IsZeroDiag = (Mode&ZeroDiag) ? 1 : 0, \</span></div> <div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="preprocessor"> conjA = ((TriStorageOrder==ColMajor) && Conjugate) ? 1 : 0 \</span></div> <div class="line"><a name="l00105"></a><span class="lineno"> 105</span> <span class="preprocessor"> }; \</span></div> <div class="line"><a name="l00106"></a><span class="lineno"> 106</span> <span class="preprocessor"> static void run( \</span></div> <div class="line"><a name="l00107"></a><span class="lineno"> 107</span> <span class="preprocessor"> Index size, Index otherSize, \</span></div> <div class="line"><a name="l00108"></a><span class="lineno"> 108</span> <span class="preprocessor"> const EIGTYPE* _tri, Index triStride, \</span></div> <div class="line"><a name="l00109"></a><span class="lineno"> 109</span> <span class="preprocessor"> EIGTYPE* _other, Index otherStride, level3_blocking<EIGTYPE,EIGTYPE>& </span><span class="comment">/*blocking*/</span><span class="preprocessor">) \</span></div> <div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="preprocessor"> { \</span></div> <div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="preprocessor"> MKL_INT m = otherSize, n = size, lda, ldb; \</span></div> <div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="preprocessor"> char side = 'R', uplo, diag='N', transa; \</span></div> <div class="line"><a name="l00113"></a><span class="lineno"> 113</span> <span class="preprocessor"> </span><span class="comment">/* Set alpha_ */</span><span class="preprocessor"> \</span></div> <div class="line"><a name="l00114"></a><span class="lineno"> 114</span> <span class="preprocessor"> MKLTYPE alpha; \</span></div> <div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="preprocessor"> EIGTYPE myone(1); \</span></div> <div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="preprocessor"> assign_scalar_eig2mkl(alpha, myone); \</span></div> <div class="line"><a name="l00117"></a><span class="lineno"> 117</span> <span class="preprocessor"> ldb = otherStride;\</span></div> <div class="line"><a name="l00118"></a><span class="lineno"> 118</span> <span class="preprocessor">\</span></div> <div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="preprocessor"> const EIGTYPE *a; \</span></div> <div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="preprocessor"></span><span class="comment">/* Set trans */</span><span class="preprocessor"> \</span></div> <div class="line"><a name="l00121"></a><span class="lineno"> 121</span> <span class="preprocessor"> transa = (TriStorageOrder==RowMajor) ? ((Conjugate) ? 'C' : 'T') : 'N'; \</span></div> <div class="line"><a name="l00122"></a><span class="lineno"> 122</span> <span class="preprocessor"></span><span class="comment">/* Set uplo */</span><span class="preprocessor"> \</span></div> <div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="preprocessor"> uplo = IsLower ? 'L' : 'U'; \</span></div> <div class="line"><a name="l00124"></a><span class="lineno"> 124</span> <span class="preprocessor"> if (TriStorageOrder==RowMajor) uplo = (uplo == 'L') ? 'U' : 'L'; \</span></div> <div class="line"><a name="l00125"></a><span class="lineno"> 125</span> <span class="preprocessor"></span><span class="comment">/* Set a, lda */</span><span class="preprocessor"> \</span></div> <div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="preprocessor"> typedef Matrix<EIGTYPE, Dynamic, Dynamic, TriStorageOrder> MatrixTri; \</span></div> <div class="line"><a name="l00127"></a><span class="lineno"> 127</span> <span class="preprocessor"> Map<const MatrixTri, 0, OuterStride<> > tri(_tri,size,size,OuterStride<>(triStride)); \</span></div> <div class="line"><a name="l00128"></a><span class="lineno"> 128</span> <span class="preprocessor"> MatrixTri a_tmp; \</span></div> <div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <span class="preprocessor">\</span></div> <div class="line"><a name="l00130"></a><span class="lineno"> 130</span> <span class="preprocessor"> if (conjA) { \</span></div> <div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="preprocessor"> a_tmp = tri.conjugate(); \</span></div> <div class="line"><a name="l00132"></a><span class="lineno"> 132</span> <span class="preprocessor"> a = a_tmp.data(); \</span></div> <div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="preprocessor"> lda = a_tmp.outerStride(); \</span></div> <div class="line"><a name="l00134"></a><span class="lineno"> 134</span> <span class="preprocessor"> } else { \</span></div> <div class="line"><a name="l00135"></a><span class="lineno"> 135</span> <span class="preprocessor"> a = _tri; \</span></div> <div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="preprocessor"> lda = triStride; \</span></div> <div class="line"><a name="l00137"></a><span class="lineno"> 137</span> <span class="preprocessor"> } \</span></div> <div class="line"><a name="l00138"></a><span class="lineno"> 138</span> <span class="preprocessor"> if (IsUnitDiag) diag='U'; \</span></div> <div class="line"><a name="l00139"></a><span class="lineno"> 139</span> <span class="preprocessor"></span><span class="comment">/* call ?trsm*/</span><span class="preprocessor"> \</span></div> <div class="line"><a name="l00140"></a><span class="lineno"> 140</span> <span class="preprocessor"> MKLPREFIX##trsm(&side, &uplo, &transa, &diag, &m, &n, &alpha, (const MKLTYPE*)a, &lda, (MKLTYPE*)_other, &ldb); \</span></div> <div class="line"><a name="l00141"></a><span class="lineno"> 141</span> <span class="preprocessor"> </span><span class="comment">/*std::cout << "TRMS_L specialization!\n";*/</span><span class="preprocessor"> \</span></div> <div class="line"><a name="l00142"></a><span class="lineno"> 142</span> <span class="preprocessor"> } \</span></div> <div class="line"><a name="l00143"></a><span class="lineno"> 143</span> <span class="preprocessor">};</span></div> <div class="line"><a name="l00144"></a><span class="lineno"> 144</span> <span class="preprocessor"></span></div> <div class="line"><a name="l00145"></a><span class="lineno"> 145</span> EIGEN_MKL_TRSM_R(<span class="keywordtype">double</span>, <span class="keywordtype">double</span>, d)</div> <div class="line"><a name="l00146"></a><span class="lineno"> 146</span> EIGEN_MKL_TRSM_R(dcomplex, MKL_Complex16, z)</div> <div class="line"><a name="l00147"></a><span class="lineno"> 147</span> EIGEN_MKL_TRSM_R(<span class="keywordtype">float</span>, <span class="keywordtype">float</span>, s)</div> <div class="line"><a name="l00148"></a><span class="lineno"> 148</span> EIGEN_MKL_TRSM_R(scomplex, MKL_Complex8, c)</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> </div> <div class="line"><a name="l00151"></a><span class="lineno"> 151</span> } <span class="comment">// end namespace internal</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">// end namespace Eigen</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> <span class="preprocessor">#endif // EIGEN_TRIANGULAR_SOLVER_MATRIX_MKL_H</span></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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