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-/*
- Copyright (c) 2011, Intel Corporation. All rights reserved.
-
- Redistribution and use in source and binary forms, with or without modification,
- are permitted provided that the following conditions are met:
-
- * Redistributions of source code must retain the above copyright notice, this
- list of conditions and the following disclaimer.
- * Redistributions in binary form must reproduce the above copyright notice,
- this list of conditions and the following disclaimer in the documentation
- and/or other materials provided with the distribution.
- * Neither the name of Intel Corporation nor the names of its contributors may
- be used to endorse or promote products derived from this software without
- specific prior written permission.
-
- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
- ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
- WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
- DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
- ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
- (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
- LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
- ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
- (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
- SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-
- ********************************************************************************
- * Content : Eigen bindings to Intel(R) MKL
- * Triangular matrix * matrix product functionality based on ?TRMM.
- ********************************************************************************
-*/
-
-#ifndef EIGEN_TRIANGULAR_SOLVER_MATRIX_MKL_H
-#define EIGEN_TRIANGULAR_SOLVER_MATRIX_MKL_H
-
-namespace Eigen {
-
-namespace internal {
-
-// implements LeftSide op(triangular)^-1 * general
-#define EIGEN_MKL_TRSM_L(EIGTYPE, MKLTYPE, MKLPREFIX) \
-template <typename Index, int Mode, bool Conjugate, int TriStorageOrder> \
-struct triangular_solve_matrix<EIGTYPE,Index,OnTheLeft,Mode,Conjugate,TriStorageOrder,ColMajor> \
-{ \
- enum { \
- IsLower = (Mode&Lower) == Lower, \
- IsUnitDiag = (Mode&UnitDiag) ? 1 : 0, \
- IsZeroDiag = (Mode&ZeroDiag) ? 1 : 0, \
- conjA = ((TriStorageOrder==ColMajor) && Conjugate) ? 1 : 0 \
- }; \
- static void run( \
- Index size, Index otherSize, \
- const EIGTYPE* _tri, Index triStride, \
- EIGTYPE* _other, Index otherStride, level3_blocking<EIGTYPE,EIGTYPE>& /*blocking*/) \
- { \
- MKL_INT m = size, n = otherSize, lda, ldb; \
- char side = 'L', uplo, diag='N', transa; \
- /* Set alpha_ */ \
- MKLTYPE alpha; \
- EIGTYPE myone(1); \
- assign_scalar_eig2mkl(alpha, myone); \
- ldb = otherStride;\
-\
- const EIGTYPE *a; \
-/* Set trans */ \
- transa = (TriStorageOrder==RowMajor) ? ((Conjugate) ? 'C' : 'T') : 'N'; \
-/* Set uplo */ \
- uplo = IsLower ? 'L' : 'U'; \
- if (TriStorageOrder==RowMajor) uplo = (uplo == 'L') ? 'U' : 'L'; \
-/* Set a, lda */ \
- typedef Matrix<EIGTYPE, Dynamic, Dynamic, TriStorageOrder> MatrixTri; \
- Map<const MatrixTri, 0, OuterStride<> > tri(_tri,size,size,OuterStride<>(triStride)); \
- MatrixTri a_tmp; \
-\
- if (conjA) { \
- a_tmp = tri.conjugate(); \
- a = a_tmp.data(); \
- lda = a_tmp.outerStride(); \
- } else { \
- a = _tri; \
- lda = triStride; \
- } \
- if (IsUnitDiag) diag='U'; \
-/* call ?trsm*/ \
- MKLPREFIX##trsm(&side, &uplo, &transa, &diag, &m, &n, &alpha, (const MKLTYPE*)a, &lda, (MKLTYPE*)_other, &ldb); \
- } \
-};
-
-EIGEN_MKL_TRSM_L(double, double, d)
-EIGEN_MKL_TRSM_L(dcomplex, MKL_Complex16, z)
-EIGEN_MKL_TRSM_L(float, float, s)
-EIGEN_MKL_TRSM_L(scomplex, MKL_Complex8, c)
-
-
-// implements RightSide general * op(triangular)^-1
-#define EIGEN_MKL_TRSM_R(EIGTYPE, MKLTYPE, MKLPREFIX) \
-template <typename Index, int Mode, bool Conjugate, int TriStorageOrder> \
-struct triangular_solve_matrix<EIGTYPE,Index,OnTheRight,Mode,Conjugate,TriStorageOrder,ColMajor> \
-{ \
- enum { \
- IsLower = (Mode&Lower) == Lower, \
- IsUnitDiag = (Mode&UnitDiag) ? 1 : 0, \
- IsZeroDiag = (Mode&ZeroDiag) ? 1 : 0, \
- conjA = ((TriStorageOrder==ColMajor) && Conjugate) ? 1 : 0 \
- }; \
- static void run( \
- Index size, Index otherSize, \
- const EIGTYPE* _tri, Index triStride, \
- EIGTYPE* _other, Index otherStride, level3_blocking<EIGTYPE,EIGTYPE>& /*blocking*/) \
- { \
- MKL_INT m = otherSize, n = size, lda, ldb; \
- char side = 'R', uplo, diag='N', transa; \
- /* Set alpha_ */ \
- MKLTYPE alpha; \
- EIGTYPE myone(1); \
- assign_scalar_eig2mkl(alpha, myone); \
- ldb = otherStride;\
-\
- const EIGTYPE *a; \
-/* Set trans */ \
- transa = (TriStorageOrder==RowMajor) ? ((Conjugate) ? 'C' : 'T') : 'N'; \
-/* Set uplo */ \
- uplo = IsLower ? 'L' : 'U'; \
- if (TriStorageOrder==RowMajor) uplo = (uplo == 'L') ? 'U' : 'L'; \
-/* Set a, lda */ \
- typedef Matrix<EIGTYPE, Dynamic, Dynamic, TriStorageOrder> MatrixTri; \
- Map<const MatrixTri, 0, OuterStride<> > tri(_tri,size,size,OuterStride<>(triStride)); \
- MatrixTri a_tmp; \
-\
- if (conjA) { \
- a_tmp = tri.conjugate(); \
- a = a_tmp.data(); \
- lda = a_tmp.outerStride(); \
- } else { \
- a = _tri; \
- lda = triStride; \
- } \
- if (IsUnitDiag) diag='U'; \
-/* call ?trsm*/ \
- MKLPREFIX##trsm(&side, &uplo, &transa, &diag, &m, &n, &alpha, (const MKLTYPE*)a, &lda, (MKLTYPE*)_other, &ldb); \
- /*std::cout << "TRMS_L specialization!\n";*/ \
- } \
-};
-
-EIGEN_MKL_TRSM_R(double, double, d)
-EIGEN_MKL_TRSM_R(dcomplex, MKL_Complex16, z)
-EIGEN_MKL_TRSM_R(float, float, s)
-EIGEN_MKL_TRSM_R(scomplex, MKL_Complex8, c)
-
-
-} // end namespace internal
-
-} // end namespace Eigen
-
-#endif // EIGEN_TRIANGULAR_SOLVER_MATRIX_MKL_H