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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_MATRIX_MATRIX_MKL_H
-#define EIGEN_TRIANGULAR_MATRIX_MATRIX_MKL_H
-
-namespace Eigen {
-
-namespace internal {
-
-
-template <typename Scalar, typename Index,
- int Mode, bool LhsIsTriangular,
- int LhsStorageOrder, bool ConjugateLhs,
- int RhsStorageOrder, bool ConjugateRhs,
- int ResStorageOrder>
-struct product_triangular_matrix_matrix_trmm :
- product_triangular_matrix_matrix<Scalar,Index,Mode,
- LhsIsTriangular,LhsStorageOrder,ConjugateLhs,
- RhsStorageOrder, ConjugateRhs, ResStorageOrder, BuiltIn> {};
-
-
-// try to go to BLAS specialization
-#define EIGEN_MKL_TRMM_SPECIALIZE(Scalar, LhsIsTriangular) \
-template <typename Index, int Mode, \
- int LhsStorageOrder, bool ConjugateLhs, \
- int RhsStorageOrder, bool ConjugateRhs> \
-struct product_triangular_matrix_matrix<Scalar,Index, Mode, LhsIsTriangular, \
- LhsStorageOrder,ConjugateLhs, RhsStorageOrder,ConjugateRhs,ColMajor,Specialized> { \
- static inline void run(Index _rows, Index _cols, Index _depth, const Scalar* _lhs, Index lhsStride,\
- const Scalar* _rhs, Index rhsStride, Scalar* res, Index resStride, Scalar alpha, level3_blocking<Scalar,Scalar>& blocking) { \
- product_triangular_matrix_matrix_trmm<Scalar,Index,Mode, \
- LhsIsTriangular,LhsStorageOrder,ConjugateLhs, \
- RhsStorageOrder, ConjugateRhs, ColMajor>::run( \
- _rows, _cols, _depth, _lhs, lhsStride, _rhs, rhsStride, res, resStride, alpha, blocking); \
- } \
-};
-
-EIGEN_MKL_TRMM_SPECIALIZE(double, true)
-EIGEN_MKL_TRMM_SPECIALIZE(double, false)
-EIGEN_MKL_TRMM_SPECIALIZE(dcomplex, true)
-EIGEN_MKL_TRMM_SPECIALIZE(dcomplex, false)
-EIGEN_MKL_TRMM_SPECIALIZE(float, true)
-EIGEN_MKL_TRMM_SPECIALIZE(float, false)
-EIGEN_MKL_TRMM_SPECIALIZE(scomplex, true)
-EIGEN_MKL_TRMM_SPECIALIZE(scomplex, false)
-
-// implements col-major += alpha * op(triangular) * op(general)
-#define EIGEN_MKL_TRMM_L(EIGTYPE, MKLTYPE, EIGPREFIX, MKLPREFIX) \
-template <typename Index, int Mode, \
- int LhsStorageOrder, bool ConjugateLhs, \
- int RhsStorageOrder, bool ConjugateRhs> \
-struct product_triangular_matrix_matrix_trmm<EIGTYPE,Index,Mode,true, \
- LhsStorageOrder,ConjugateLhs,RhsStorageOrder,ConjugateRhs,ColMajor> \
-{ \
- enum { \
- IsLower = (Mode&Lower) == Lower, \
- SetDiag = (Mode&(ZeroDiag|UnitDiag)) ? 0 : 1, \
- IsUnitDiag = (Mode&UnitDiag) ? 1 : 0, \
- IsZeroDiag = (Mode&ZeroDiag) ? 1 : 0, \
- LowUp = IsLower ? Lower : Upper, \
- conjA = ((LhsStorageOrder==ColMajor) && ConjugateLhs) ? 1 : 0 \
- }; \
-\
- static void run( \
- Index _rows, Index _cols, Index _depth, \
- const EIGTYPE* _lhs, Index lhsStride, \
- const EIGTYPE* _rhs, Index rhsStride, \
- EIGTYPE* res, Index resStride, \
- EIGTYPE alpha, level3_blocking<EIGTYPE,EIGTYPE>& blocking) \
- { \
- Index diagSize = (std::min)(_rows,_depth); \
- Index rows = IsLower ? _rows : diagSize; \
- Index depth = IsLower ? diagSize : _depth; \
- Index cols = _cols; \
-\
- typedef Matrix<EIGTYPE, Dynamic, Dynamic, LhsStorageOrder> MatrixLhs; \
- typedef Matrix<EIGTYPE, Dynamic, Dynamic, RhsStorageOrder> MatrixRhs; \
-\
-/* Non-square case - doesn't fit to MKL ?TRMM. Fall to default triangular product or call MKL ?GEMM*/ \
- if (rows != depth) { \
-\
- int nthr = mkl_domain_get_max_threads(MKL_BLAS); \
-\
- if (((nthr==1) && (((std::max)(rows,depth)-diagSize)/(double)diagSize < 0.5))) { \
- /* Most likely no benefit to call TRMM or GEMM from MKL*/ \
- product_triangular_matrix_matrix<EIGTYPE,Index,Mode,true, \
- LhsStorageOrder,ConjugateLhs, RhsStorageOrder, ConjugateRhs, ColMajor, BuiltIn>::run( \
- _rows, _cols, _depth, _lhs, lhsStride, _rhs, rhsStride, res, resStride, alpha, blocking); \
- /*std::cout << "TRMM_L: A is not square! Go to Eigen TRMM implementation!\n";*/ \
- } else { \
- /* Make sense to call GEMM */ \
- Map<const MatrixLhs, 0, OuterStride<> > lhsMap(_lhs,rows,depth,OuterStride<>(lhsStride)); \
- MatrixLhs aa_tmp=lhsMap.template triangularView<Mode>(); \
- MKL_INT aStride = aa_tmp.outerStride(); \
- gemm_blocking_space<ColMajor,EIGTYPE,EIGTYPE,Dynamic,Dynamic,Dynamic> gemm_blocking(_rows,_cols,_depth); \
- general_matrix_matrix_product<Index,EIGTYPE,LhsStorageOrder,ConjugateLhs,EIGTYPE,RhsStorageOrder,ConjugateRhs,ColMajor>::run( \
- rows, cols, depth, aa_tmp.data(), aStride, _rhs, rhsStride, res, resStride, alpha, gemm_blocking, 0); \
-\
- /*std::cout << "TRMM_L: A is not square! Go to MKL GEMM implementation! " << nthr<<" \n";*/ \
- } \
- return; \
- } \
- char side = 'L', transa, uplo, diag = 'N'; \
- EIGTYPE *b; \
- const EIGTYPE *a; \
- MKL_INT m, n, lda, ldb; \
- MKLTYPE alpha_; \
-\
-/* Set alpha_*/ \
- assign_scalar_eig2mkl<MKLTYPE, EIGTYPE>(alpha_, alpha); \
-\
-/* Set m, n */ \
- m = (MKL_INT)diagSize; \
- n = (MKL_INT)cols; \
-\
-/* Set trans */ \
- transa = (LhsStorageOrder==RowMajor) ? ((ConjugateLhs) ? 'C' : 'T') : 'N'; \
-\
-/* Set b, ldb */ \
- Map<const MatrixRhs, 0, OuterStride<> > rhs(_rhs,depth,cols,OuterStride<>(rhsStride)); \
- MatrixX##EIGPREFIX b_tmp; \
-\
- if (ConjugateRhs) b_tmp = rhs.conjugate(); else b_tmp = rhs; \
- b = b_tmp.data(); \
- ldb = b_tmp.outerStride(); \
-\
-/* Set uplo */ \
- uplo = IsLower ? 'L' : 'U'; \
- if (LhsStorageOrder==RowMajor) uplo = (uplo == 'L') ? 'U' : 'L'; \
-/* Set a, lda */ \
- Map<const MatrixLhs, 0, OuterStride<> > lhs(_lhs,rows,depth,OuterStride<>(lhsStride)); \
- MatrixLhs a_tmp; \
-\
- if ((conjA!=0) || (SetDiag==0)) { \
- if (conjA) a_tmp = lhs.conjugate(); else a_tmp = lhs; \
- if (IsZeroDiag) \
- a_tmp.diagonal().setZero(); \
- else if (IsUnitDiag) \
- a_tmp.diagonal().setOnes();\
- a = a_tmp.data(); \
- lda = a_tmp.outerStride(); \
- } else { \
- a = _lhs; \
- lda = lhsStride; \
- } \
- /*std::cout << "TRMM_L: A is square! Go to MKL TRMM implementation! \n";*/ \
-/* call ?trmm*/ \
- MKLPREFIX##trmm(&side, &uplo, &transa, &diag, &m, &n, &alpha_, (const MKLTYPE*)a, &lda, (MKLTYPE*)b, &ldb); \
-\
-/* Add op(a_triangular)*b into res*/ \
- Map<MatrixX##EIGPREFIX, 0, OuterStride<> > res_tmp(res,rows,cols,OuterStride<>(resStride)); \
- res_tmp=res_tmp+b_tmp; \
- } \
-};
-
-EIGEN_MKL_TRMM_L(double, double, d, d)
-EIGEN_MKL_TRMM_L(dcomplex, MKL_Complex16, cd, z)
-EIGEN_MKL_TRMM_L(float, float, f, s)
-EIGEN_MKL_TRMM_L(scomplex, MKL_Complex8, cf, c)
-
-// implements col-major += alpha * op(general) * op(triangular)
-#define EIGEN_MKL_TRMM_R(EIGTYPE, MKLTYPE, EIGPREFIX, MKLPREFIX) \
-template <typename Index, int Mode, \
- int LhsStorageOrder, bool ConjugateLhs, \
- int RhsStorageOrder, bool ConjugateRhs> \
-struct product_triangular_matrix_matrix_trmm<EIGTYPE,Index,Mode,false, \
- LhsStorageOrder,ConjugateLhs,RhsStorageOrder,ConjugateRhs,ColMajor> \
-{ \
- enum { \
- IsLower = (Mode&Lower) == Lower, \
- SetDiag = (Mode&(ZeroDiag|UnitDiag)) ? 0 : 1, \
- IsUnitDiag = (Mode&UnitDiag) ? 1 : 0, \
- IsZeroDiag = (Mode&ZeroDiag) ? 1 : 0, \
- LowUp = IsLower ? Lower : Upper, \
- conjA = ((RhsStorageOrder==ColMajor) && ConjugateRhs) ? 1 : 0 \
- }; \
-\
- static void run( \
- Index _rows, Index _cols, Index _depth, \
- const EIGTYPE* _lhs, Index lhsStride, \
- const EIGTYPE* _rhs, Index rhsStride, \
- EIGTYPE* res, Index resStride, \
- EIGTYPE alpha, level3_blocking<EIGTYPE,EIGTYPE>& blocking) \
- { \
- Index diagSize = (std::min)(_cols,_depth); \
- Index rows = _rows; \
- Index depth = IsLower ? _depth : diagSize; \
- Index cols = IsLower ? diagSize : _cols; \
-\
- typedef Matrix<EIGTYPE, Dynamic, Dynamic, LhsStorageOrder> MatrixLhs; \
- typedef Matrix<EIGTYPE, Dynamic, Dynamic, RhsStorageOrder> MatrixRhs; \
-\
-/* Non-square case - doesn't fit to MKL ?TRMM. Fall to default triangular product or call MKL ?GEMM*/ \
- if (cols != depth) { \
-\
- int nthr = mkl_domain_get_max_threads(MKL_BLAS); \
-\
- if ((nthr==1) && (((std::max)(cols,depth)-diagSize)/(double)diagSize < 0.5)) { \
- /* Most likely no benefit to call TRMM or GEMM from MKL*/ \
- product_triangular_matrix_matrix<EIGTYPE,Index,Mode,false, \
- LhsStorageOrder,ConjugateLhs, RhsStorageOrder, ConjugateRhs, ColMajor, BuiltIn>::run( \
- _rows, _cols, _depth, _lhs, lhsStride, _rhs, rhsStride, res, resStride, alpha, blocking); \
- /*std::cout << "TRMM_R: A is not square! Go to Eigen TRMM implementation!\n";*/ \
- } else { \
- /* Make sense to call GEMM */ \
- Map<const MatrixRhs, 0, OuterStride<> > rhsMap(_rhs,depth,cols, OuterStride<>(rhsStride)); \
- MatrixRhs aa_tmp=rhsMap.template triangularView<Mode>(); \
- MKL_INT aStride = aa_tmp.outerStride(); \
- gemm_blocking_space<ColMajor,EIGTYPE,EIGTYPE,Dynamic,Dynamic,Dynamic> gemm_blocking(_rows,_cols,_depth); \
- general_matrix_matrix_product<Index,EIGTYPE,LhsStorageOrder,ConjugateLhs,EIGTYPE,RhsStorageOrder,ConjugateRhs,ColMajor>::run( \
- rows, cols, depth, _lhs, lhsStride, aa_tmp.data(), aStride, res, resStride, alpha, gemm_blocking, 0); \
-\
- /*std::cout << "TRMM_R: A is not square! Go to MKL GEMM implementation! " << nthr<<" \n";*/ \
- } \
- return; \
- } \
- char side = 'R', transa, uplo, diag = 'N'; \
- EIGTYPE *b; \
- const EIGTYPE *a; \
- MKL_INT m, n, lda, ldb; \
- MKLTYPE alpha_; \
-\
-/* Set alpha_*/ \
- assign_scalar_eig2mkl<MKLTYPE, EIGTYPE>(alpha_, alpha); \
-\
-/* Set m, n */ \
- m = (MKL_INT)rows; \
- n = (MKL_INT)diagSize; \
-\
-/* Set trans */ \
- transa = (RhsStorageOrder==RowMajor) ? ((ConjugateRhs) ? 'C' : 'T') : 'N'; \
-\
-/* Set b, ldb */ \
- Map<const MatrixLhs, 0, OuterStride<> > lhs(_lhs,rows,depth,OuterStride<>(lhsStride)); \
- MatrixX##EIGPREFIX b_tmp; \
-\
- if (ConjugateLhs) b_tmp = lhs.conjugate(); else b_tmp = lhs; \
- b = b_tmp.data(); \
- ldb = b_tmp.outerStride(); \
-\
-/* Set uplo */ \
- uplo = IsLower ? 'L' : 'U'; \
- if (RhsStorageOrder==RowMajor) uplo = (uplo == 'L') ? 'U' : 'L'; \
-/* Set a, lda */ \
- Map<const MatrixRhs, 0, OuterStride<> > rhs(_rhs,depth,cols, OuterStride<>(rhsStride)); \
- MatrixRhs a_tmp; \
-\
- if ((conjA!=0) || (SetDiag==0)) { \
- if (conjA) a_tmp = rhs.conjugate(); else a_tmp = rhs; \
- if (IsZeroDiag) \
- a_tmp.diagonal().setZero(); \
- else if (IsUnitDiag) \
- a_tmp.diagonal().setOnes();\
- a = a_tmp.data(); \
- lda = a_tmp.outerStride(); \
- } else { \
- a = _rhs; \
- lda = rhsStride; \
- } \
- /*std::cout << "TRMM_R: A is square! Go to MKL TRMM implementation! \n";*/ \
-/* call ?trmm*/ \
- MKLPREFIX##trmm(&side, &uplo, &transa, &diag, &m, &n, &alpha_, (const MKLTYPE*)a, &lda, (MKLTYPE*)b, &ldb); \
-\
-/* Add op(a_triangular)*b into res*/ \
- Map<MatrixX##EIGPREFIX, 0, OuterStride<> > res_tmp(res,rows,cols,OuterStride<>(resStride)); \
- res_tmp=res_tmp+b_tmp; \
- } \
-};
-
-EIGEN_MKL_TRMM_R(double, double, d, d)
-EIGEN_MKL_TRMM_R(dcomplex, MKL_Complex16, cd, z)
-EIGEN_MKL_TRMM_R(float, float, f, s)
-EIGEN_MKL_TRMM_R(scomplex, MKL_Complex8, cf, c)
-
-} // end namespace internal
-
-} // end namespace Eigen
-
-#endif // EIGEN_TRIANGULAR_MATRIX_MATRIX_MKL_H