1 /* 2 Copyright (c) 2011, Intel Corporation. All rights reserved. 3 4 Redistribution and use in source and binary forms, with or without modification, 5 are permitted provided that the following conditions are met: 6 7 * Redistributions of source code must retain the above copyright notice, this 8 list of conditions and the following disclaimer. 9 * Redistributions in binary form must reproduce the above copyright notice, 10 this list of conditions and the following disclaimer in the documentation 11 and/or other materials provided with the distribution. 12 * Neither the name of Intel Corporation nor the names of its contributors may 13 be used to endorse or promote products derived from this software without 14 specific prior written permission. 15 16 THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND 17 ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED 18 WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE 19 DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR 20 ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES 21 (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; 22 LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON 23 ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT 24 (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 25 SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 26 // 27 ******************************************************************************** 28 * Content : Eigen bindings to BLAS F77 29 * Self adjoint matrix * matrix product functionality based on ?SYMM/?HEMM. 30 ******************************************************************************** 31 */ 32 33 #ifndef EIGEN_SELFADJOINT_MATRIX_MATRIX_BLAS_H 34 #define EIGEN_SELFADJOINT_MATRIX_MATRIX_BLAS_H 35 36 namespace Eigen { 37 38 namespace internal { 39 40 41 /* Optimized selfadjoint matrix * matrix (?SYMM/?HEMM) product */ 42 43 #define EIGEN_BLAS_SYMM_L(EIGTYPE, BLASTYPE, EIGPREFIX, BLASPREFIX) \ 44 template <typename Index, \ 45 int LhsStorageOrder, bool ConjugateLhs, \ 46 int RhsStorageOrder, bool ConjugateRhs> \ 47 struct product_selfadjoint_matrix<EIGTYPE,Index,LhsStorageOrder,true,ConjugateLhs,RhsStorageOrder,false,ConjugateRhs,ColMajor> \ 48 {\ 49 \ 50 static void run( \ 51 Index rows, Index cols, \ 52 const EIGTYPE* _lhs, Index lhsStride, \ 53 const EIGTYPE* _rhs, Index rhsStride, \ 54 EIGTYPE* res, Index resStride, \ 55 EIGTYPE alpha, level3_blocking<EIGTYPE, EIGTYPE>& /*blocking*/) \ 56 { \ 57 char side='L', uplo='L'; \ 58 BlasIndex m, n, lda, ldb, ldc; \ 59 const EIGTYPE *a, *b; \ 60 EIGTYPE beta(1); \ 61 MatrixX##EIGPREFIX b_tmp; \ 62 \ 63 /* Set transpose options */ \ 64 /* Set m, n, k */ \ 65 m = convert_index<BlasIndex>(rows); \ 66 n = convert_index<BlasIndex>(cols); \ 67 \ 68 /* Set lda, ldb, ldc */ \ 69 lda = convert_index<BlasIndex>(lhsStride); \ 70 ldb = convert_index<BlasIndex>(rhsStride); \ 71 ldc = convert_index<BlasIndex>(resStride); \ 72 \ 73 /* Set a, b, c */ \ 74 if (LhsStorageOrder==RowMajor) uplo='U'; \ 75 a = _lhs; \ 76 \ 77 if (RhsStorageOrder==RowMajor) { \ 78 Map<const MatrixX##EIGPREFIX, 0, OuterStride<> > rhs(_rhs,n,m,OuterStride<>(rhsStride)); \ 79 b_tmp = rhs.adjoint(); \ 80 b = b_tmp.data(); \ 81 ldb = convert_index<BlasIndex>(b_tmp.outerStride()); \ 82 } else b = _rhs; \ 83 \ 84 BLASPREFIX##symm_(&side, &uplo, &m, &n, &numext::real_ref(alpha), (const BLASTYPE*)a, &lda, (const BLASTYPE*)b, &ldb, &numext::real_ref(beta), (BLASTYPE*)res, &ldc); \ 85 \ 86 } \ 87 }; 88 89 90 #define EIGEN_BLAS_HEMM_L(EIGTYPE, BLASTYPE, EIGPREFIX, BLASPREFIX) \ 91 template <typename Index, \ 92 int LhsStorageOrder, bool ConjugateLhs, \ 93 int RhsStorageOrder, bool ConjugateRhs> \ 94 struct product_selfadjoint_matrix<EIGTYPE,Index,LhsStorageOrder,true,ConjugateLhs,RhsStorageOrder,false,ConjugateRhs,ColMajor> \ 95 {\ 96 static void run( \ 97 Index rows, Index cols, \ 98 const EIGTYPE* _lhs, Index lhsStride, \ 99 const EIGTYPE* _rhs, Index rhsStride, \ 100 EIGTYPE* res, Index resStride, \ 101 EIGTYPE alpha, level3_blocking<EIGTYPE, EIGTYPE>& /*blocking*/) \ 102 { \ 103 char side='L', uplo='L'; \ 104 BlasIndex m, n, lda, ldb, ldc; \ 105 const EIGTYPE *a, *b; \ 106 EIGTYPE beta(1); \ 107 MatrixX##EIGPREFIX b_tmp; \ 108 Matrix<EIGTYPE, Dynamic, Dynamic, LhsStorageOrder> a_tmp; \ 109 \ 110 /* Set transpose options */ \ 111 /* Set m, n, k */ \ 112 m = convert_index<BlasIndex>(rows); \ 113 n = convert_index<BlasIndex>(cols); \ 114 \ 115 /* Set lda, ldb, ldc */ \ 116 lda = convert_index<BlasIndex>(lhsStride); \ 117 ldb = convert_index<BlasIndex>(rhsStride); \ 118 ldc = convert_index<BlasIndex>(resStride); \ 119 \ 120 /* Set a, b, c */ \ 121 if (((LhsStorageOrder==ColMajor) && ConjugateLhs) || ((LhsStorageOrder==RowMajor) && (!ConjugateLhs))) { \ 122 Map<const Matrix<EIGTYPE, Dynamic, Dynamic, LhsStorageOrder>, 0, OuterStride<> > lhs(_lhs,m,m,OuterStride<>(lhsStride)); \ 123 a_tmp = lhs.conjugate(); \ 124 a = a_tmp.data(); \ 125 lda = convert_index<BlasIndex>(a_tmp.outerStride()); \ 126 } else a = _lhs; \ 127 if (LhsStorageOrder==RowMajor) uplo='U'; \ 128 \ 129 if (RhsStorageOrder==ColMajor && (!ConjugateRhs)) { \ 130 b = _rhs; } \ 131 else { \ 132 if (RhsStorageOrder==ColMajor && ConjugateRhs) { \ 133 Map<const MatrixX##EIGPREFIX, 0, OuterStride<> > rhs(_rhs,m,n,OuterStride<>(rhsStride)); \ 134 b_tmp = rhs.conjugate(); \ 135 } else \ 136 if (ConjugateRhs) { \ 137 Map<const MatrixX##EIGPREFIX, 0, OuterStride<> > rhs(_rhs,n,m,OuterStride<>(rhsStride)); \ 138 b_tmp = rhs.adjoint(); \ 139 } else { \ 140 Map<const MatrixX##EIGPREFIX, 0, OuterStride<> > rhs(_rhs,n,m,OuterStride<>(rhsStride)); \ 141 b_tmp = rhs.transpose(); \ 142 } \ 143 b = b_tmp.data(); \ 144 ldb = convert_index<BlasIndex>(b_tmp.outerStride()); \ 145 } \ 146 \ 147 BLASPREFIX##hemm_(&side, &uplo, &m, &n, &numext::real_ref(alpha), (const BLASTYPE*)a, &lda, (const BLASTYPE*)b, &ldb, &numext::real_ref(beta), (BLASTYPE*)res, &ldc); \ 148 \ 149 } \ 150 }; 151 152 EIGEN_BLAS_SYMM_L(double, double, d, d) 153 EIGEN_BLAS_SYMM_L(float, float, f, s) 154 EIGEN_BLAS_HEMM_L(dcomplex, double, cd, z) 155 EIGEN_BLAS_HEMM_L(scomplex, float, cf, c) 156 157 158 /* Optimized matrix * selfadjoint matrix (?SYMM/?HEMM) product */ 159 160 #define EIGEN_BLAS_SYMM_R(EIGTYPE, BLASTYPE, EIGPREFIX, BLASPREFIX) \ 161 template <typename Index, \ 162 int LhsStorageOrder, bool ConjugateLhs, \ 163 int RhsStorageOrder, bool ConjugateRhs> \ 164 struct product_selfadjoint_matrix<EIGTYPE,Index,LhsStorageOrder,false,ConjugateLhs,RhsStorageOrder,true,ConjugateRhs,ColMajor> \ 165 {\ 166 \ 167 static void run( \ 168 Index rows, Index cols, \ 169 const EIGTYPE* _lhs, Index lhsStride, \ 170 const EIGTYPE* _rhs, Index rhsStride, \ 171 EIGTYPE* res, Index resStride, \ 172 EIGTYPE alpha, level3_blocking<EIGTYPE, EIGTYPE>& /*blocking*/) \ 173 { \ 174 char side='R', uplo='L'; \ 175 BlasIndex m, n, lda, ldb, ldc; \ 176 const EIGTYPE *a, *b; \ 177 EIGTYPE beta(1); \ 178 MatrixX##EIGPREFIX b_tmp; \ 179 \ 180 /* Set m, n, k */ \ 181 m = convert_index<BlasIndex>(rows); \ 182 n = convert_index<BlasIndex>(cols); \ 183 \ 184 /* Set lda, ldb, ldc */ \ 185 lda = convert_index<BlasIndex>(rhsStride); \ 186 ldb = convert_index<BlasIndex>(lhsStride); \ 187 ldc = convert_index<BlasIndex>(resStride); \ 188 \ 189 /* Set a, b, c */ \ 190 if (RhsStorageOrder==RowMajor) uplo='U'; \ 191 a = _rhs; \ 192 \ 193 if (LhsStorageOrder==RowMajor) { \ 194 Map<const MatrixX##EIGPREFIX, 0, OuterStride<> > lhs(_lhs,n,m,OuterStride<>(rhsStride)); \ 195 b_tmp = lhs.adjoint(); \ 196 b = b_tmp.data(); \ 197 ldb = convert_index<BlasIndex>(b_tmp.outerStride()); \ 198 } else b = _lhs; \ 199 \ 200 BLASPREFIX##symm_(&side, &uplo, &m, &n, &numext::real_ref(alpha), (const BLASTYPE*)a, &lda, (const BLASTYPE*)b, &ldb, &numext::real_ref(beta), (BLASTYPE*)res, &ldc); \ 201 \ 202 } \ 203 }; 204 205 206 #define EIGEN_BLAS_HEMM_R(EIGTYPE, BLASTYPE, EIGPREFIX, BLASPREFIX) \ 207 template <typename Index, \ 208 int LhsStorageOrder, bool ConjugateLhs, \ 209 int RhsStorageOrder, bool ConjugateRhs> \ 210 struct product_selfadjoint_matrix<EIGTYPE,Index,LhsStorageOrder,false,ConjugateLhs,RhsStorageOrder,true,ConjugateRhs,ColMajor> \ 211 {\ 212 static void run( \ 213 Index rows, Index cols, \ 214 const EIGTYPE* _lhs, Index lhsStride, \ 215 const EIGTYPE* _rhs, Index rhsStride, \ 216 EIGTYPE* res, Index resStride, \ 217 EIGTYPE alpha, level3_blocking<EIGTYPE, EIGTYPE>& /*blocking*/) \ 218 { \ 219 char side='R', uplo='L'; \ 220 BlasIndex m, n, lda, ldb, ldc; \ 221 const EIGTYPE *a, *b; \ 222 EIGTYPE beta(1); \ 223 MatrixX##EIGPREFIX b_tmp; \ 224 Matrix<EIGTYPE, Dynamic, Dynamic, RhsStorageOrder> a_tmp; \ 225 \ 226 /* Set m, n, k */ \ 227 m = convert_index<BlasIndex>(rows); \ 228 n = convert_index<BlasIndex>(cols); \ 229 \ 230 /* Set lda, ldb, ldc */ \ 231 lda = convert_index<BlasIndex>(rhsStride); \ 232 ldb = convert_index<BlasIndex>(lhsStride); \ 233 ldc = convert_index<BlasIndex>(resStride); \ 234 \ 235 /* Set a, b, c */ \ 236 if (((RhsStorageOrder==ColMajor) && ConjugateRhs) || ((RhsStorageOrder==RowMajor) && (!ConjugateRhs))) { \ 237 Map<const Matrix<EIGTYPE, Dynamic, Dynamic, RhsStorageOrder>, 0, OuterStride<> > rhs(_rhs,n,n,OuterStride<>(rhsStride)); \ 238 a_tmp = rhs.conjugate(); \ 239 a = a_tmp.data(); \ 240 lda = convert_index<BlasIndex>(a_tmp.outerStride()); \ 241 } else a = _rhs; \ 242 if (RhsStorageOrder==RowMajor) uplo='U'; \ 243 \ 244 if (LhsStorageOrder==ColMajor && (!ConjugateLhs)) { \ 245 b = _lhs; } \ 246 else { \ 247 if (LhsStorageOrder==ColMajor && ConjugateLhs) { \ 248 Map<const MatrixX##EIGPREFIX, 0, OuterStride<> > lhs(_lhs,m,n,OuterStride<>(lhsStride)); \ 249 b_tmp = lhs.conjugate(); \ 250 } else \ 251 if (ConjugateLhs) { \ 252 Map<const MatrixX##EIGPREFIX, 0, OuterStride<> > lhs(_lhs,n,m,OuterStride<>(lhsStride)); \ 253 b_tmp = lhs.adjoint(); \ 254 } else { \ 255 Map<const MatrixX##EIGPREFIX, 0, OuterStride<> > lhs(_lhs,n,m,OuterStride<>(lhsStride)); \ 256 b_tmp = lhs.transpose(); \ 257 } \ 258 b = b_tmp.data(); \ 259 ldb = convert_index<BlasIndex>(b_tmp.outerStride()); \ 260 } \ 261 \ 262 BLASPREFIX##hemm_(&side, &uplo, &m, &n, &numext::real_ref(alpha), (const BLASTYPE*)a, &lda, (const BLASTYPE*)b, &ldb, &numext::real_ref(beta), (BLASTYPE*)res, &ldc); \ 263 } \ 264 }; 265 266 EIGEN_BLAS_SYMM_R(double, double, d, d) 267 EIGEN_BLAS_SYMM_R(float, float, f, s) 268 EIGEN_BLAS_HEMM_R(dcomplex, double, cd, z) 269 EIGEN_BLAS_HEMM_R(scomplex, float, cf, c) 270 271 } // end namespace internal 272 273 } // end namespace Eigen 274 275 #endif // EIGEN_SELFADJOINT_MATRIX_MATRIX_BLAS_H 276
