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 * Triangular matrix * matrix product functionality based on ?TRMM. 30 ******************************************************************************** 31 */ 32 33 #ifndef EIGEN_TRIANGULAR_SOLVER_MATRIX_BLAS_H 34 #define EIGEN_TRIANGULAR_SOLVER_MATRIX_BLAS_H 35 36 namespace Eigen { 37 38 namespace internal { 39 40 // implements LeftSide op(triangular)^-1 * general 41 #define EIGEN_BLAS_TRSM_L(EIGTYPE, BLASTYPE, BLASPREFIX) \ 42 template <typename Index, int Mode, bool Conjugate, int TriStorageOrder> \ 43 struct triangular_solve_matrix<EIGTYPE,Index,OnTheLeft,Mode,Conjugate,TriStorageOrder,ColMajor> \ 44 { \ 45 enum { \ 46 IsLower = (Mode&Lower) == Lower, \ 47 IsUnitDiag = (Mode&UnitDiag) ? 1 : 0, \ 48 IsZeroDiag = (Mode&ZeroDiag) ? 1 : 0, \ 49 conjA = ((TriStorageOrder==ColMajor) && Conjugate) ? 1 : 0 \ 50 }; \ 51 static void run( \ 52 Index size, Index otherSize, \ 53 const EIGTYPE* _tri, Index triStride, \ 54 EIGTYPE* _other, Index otherStride, level3_blocking<EIGTYPE,EIGTYPE>& /*blocking*/) \ 55 { \ 56 BlasIndex m = convert_index<BlasIndex>(size), n = convert_index<BlasIndex>(otherSize), lda, ldb; \ 57 char side = 'L', uplo, diag='N', transa; \ 58 /* Set alpha_ */ \ 59 EIGTYPE alpha(1); \ 60 ldb = convert_index<BlasIndex>(otherStride);\ 61 \ 62 const EIGTYPE *a; \ 63 /* Set trans */ \ 64 transa = (TriStorageOrder==RowMajor) ? ((Conjugate) ? 'C' : 'T') : 'N'; \ 65 /* Set uplo */ \ 66 uplo = IsLower ? 'L' : 'U'; \ 67 if (TriStorageOrder==RowMajor) uplo = (uplo == 'L') ? 'U' : 'L'; \ 68 /* Set a, lda */ \ 69 typedef Matrix<EIGTYPE, Dynamic, Dynamic, TriStorageOrder> MatrixTri; \ 70 Map<const MatrixTri, 0, OuterStride<> > tri(_tri,size,size,OuterStride<>(triStride)); \ 71 MatrixTri a_tmp; \ 72 \ 73 if (conjA) { \ 74 a_tmp = tri.conjugate(); \ 75 a = a_tmp.data(); \ 76 lda = convert_index<BlasIndex>(a_tmp.outerStride()); \ 77 } else { \ 78 a = _tri; \ 79 lda = convert_index<BlasIndex>(triStride); \ 80 } \ 81 if (IsUnitDiag) diag='U'; \ 82 /* call ?trsm*/ \ 83 BLASPREFIX##trsm_(&side, &uplo, &transa, &diag, &m, &n, &numext::real_ref(alpha), (const BLASTYPE*)a, &lda, (BLASTYPE*)_other, &ldb); \ 84 } \ 85 }; 86 87 EIGEN_BLAS_TRSM_L(double, double, d) 88 EIGEN_BLAS_TRSM_L(dcomplex, double, z) 89 EIGEN_BLAS_TRSM_L(float, float, s) 90 EIGEN_BLAS_TRSM_L(scomplex, float, c) 91 92 93 // implements RightSide general * op(triangular)^-1 94 #define EIGEN_BLAS_TRSM_R(EIGTYPE, BLASTYPE, BLASPREFIX) \ 95 template <typename Index, int Mode, bool Conjugate, int TriStorageOrder> \ 96 struct triangular_solve_matrix<EIGTYPE,Index,OnTheRight,Mode,Conjugate,TriStorageOrder,ColMajor> \ 97 { \ 98 enum { \ 99 IsLower = (Mode&Lower) == Lower, \ 100 IsUnitDiag = (Mode&UnitDiag) ? 1 : 0, \ 101 IsZeroDiag = (Mode&ZeroDiag) ? 1 : 0, \ 102 conjA = ((TriStorageOrder==ColMajor) && Conjugate) ? 1 : 0 \ 103 }; \ 104 static void run( \ 105 Index size, Index otherSize, \ 106 const EIGTYPE* _tri, Index triStride, \ 107 EIGTYPE* _other, Index otherStride, level3_blocking<EIGTYPE,EIGTYPE>& /*blocking*/) \ 108 { \ 109 BlasIndex m = convert_index<BlasIndex>(otherSize), n = convert_index<BlasIndex>(size), lda, ldb; \ 110 char side = 'R', uplo, diag='N', transa; \ 111 /* Set alpha_ */ \ 112 EIGTYPE alpha(1); \ 113 ldb = convert_index<BlasIndex>(otherStride);\ 114 \ 115 const EIGTYPE *a; \ 116 /* Set trans */ \ 117 transa = (TriStorageOrder==RowMajor) ? ((Conjugate) ? 'C' : 'T') : 'N'; \ 118 /* Set uplo */ \ 119 uplo = IsLower ? 'L' : 'U'; \ 120 if (TriStorageOrder==RowMajor) uplo = (uplo == 'L') ? 'U' : 'L'; \ 121 /* Set a, lda */ \ 122 typedef Matrix<EIGTYPE, Dynamic, Dynamic, TriStorageOrder> MatrixTri; \ 123 Map<const MatrixTri, 0, OuterStride<> > tri(_tri,size,size,OuterStride<>(triStride)); \ 124 MatrixTri a_tmp; \ 125 \ 126 if (conjA) { \ 127 a_tmp = tri.conjugate(); \ 128 a = a_tmp.data(); \ 129 lda = convert_index<BlasIndex>(a_tmp.outerStride()); \ 130 } else { \ 131 a = _tri; \ 132 lda = convert_index<BlasIndex>(triStride); \ 133 } \ 134 if (IsUnitDiag) diag='U'; \ 135 /* call ?trsm*/ \ 136 BLASPREFIX##trsm_(&side, &uplo, &transa, &diag, &m, &n, &numext::real_ref(alpha), (const BLASTYPE*)a, &lda, (BLASTYPE*)_other, &ldb); \ 137 /*std::cout << "TRMS_L specialization!\n";*/ \ 138 } \ 139 }; 140 141 EIGEN_BLAS_TRSM_R(double, double, d) 142 EIGEN_BLAS_TRSM_R(dcomplex, double, z) 143 EIGEN_BLAS_TRSM_R(float, float, s) 144 EIGEN_BLAS_TRSM_R(scomplex, float, c) 145 146 147 } // end namespace internal 148 149 } // end namespace Eigen 150 151 #endif // EIGEN_TRIANGULAR_SOLVER_MATRIX_BLAS_H 152
