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/*
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********************************************************************************
* Content : Eigen bindings to BLAS F77
* General matrix-matrix product functionality based on ?GEMM.
********************************************************************************
*/
#ifndef EIGEN_GENERAL_MATRIX_MATRIX_BLAS_H
#define EIGEN_GENERAL_MATRIX_MATRIX_BLAS_H
// IWYU pragma: private
#include "../InternalHeaderCheck.h"
namespace Eigen {
namespace internal {
/**********************************************************************
* This file implements general matrix-matrix multiplication using BLAS
* gemm function via partial specialization of
* general_matrix_matrix_product::run(..) method for float, double,
* std::complex<float> and std::complex<double> types
**********************************************************************/
// gemm specialization
#define GEMM_SPECIALIZATION(EIGTYPE, EIGPREFIX, BLASTYPE, BLASFUNC) \
template <typename Index, int LhsStorageOrder, bool ConjugateLhs, int RhsStorageOrder, bool ConjugateRhs> \
struct general_matrix_matrix_product<Index, EIGTYPE, LhsStorageOrder, ConjugateLhs, EIGTYPE, RhsStorageOrder, \
ConjugateRhs, ColMajor, 1> { \
typedef gebp_traits<EIGTYPE, EIGTYPE> Traits; \
\
static void run(Index rows, Index cols, Index depth, const EIGTYPE* _lhs, Index lhsStride, const EIGTYPE* _rhs, \
Index rhsStride, EIGTYPE* res, Index resIncr, Index resStride, EIGTYPE alpha, \
level3_blocking<EIGTYPE, EIGTYPE>& /*blocking*/, GemmParallelInfo<Index>* /*info = 0*/) { \
using std::conj; \
if (rows == 0 || cols == 0 || depth == 0) return; \
EIGEN_ONLY_USED_FOR_DEBUG(resIncr); \
eigen_assert(resIncr == 1); \
char transa, transb; \
BlasIndex m, n, k, lda, ldb, ldc; \
const EIGTYPE *a, *b; \
EIGTYPE beta(1); \
MatrixX##EIGPREFIX a_tmp, b_tmp; \
\
/* Set transpose options */ \
transa = (LhsStorageOrder == RowMajor) ? ((ConjugateLhs) ? 'C' : 'T') : 'N'; \
transb = (RhsStorageOrder == RowMajor) ? ((ConjugateRhs) ? 'C' : 'T') : 'N'; \
\
/* Set m, n, k */ \
m = convert_index<BlasIndex>(rows); \
n = convert_index<BlasIndex>(cols); \
k = convert_index<BlasIndex>(depth); \
\
/* Set lda, ldb, ldc */ \
lda = convert_index<BlasIndex>(lhsStride); \
ldb = convert_index<BlasIndex>(rhsStride); \
ldc = convert_index<BlasIndex>(resStride); \
\
/* Set a, b, c */ \
if ((LhsStorageOrder == ColMajor) && (ConjugateLhs)) { \
Map<const MatrixX##EIGPREFIX, 0, OuterStride<> > lhs(_lhs, m, k, OuterStride<>(lhsStride)); \
a_tmp = lhs.conjugate(); \
a = a_tmp.data(); \
lda = convert_index<BlasIndex>(a_tmp.outerStride()); \
} else \
a = _lhs; \
\
if ((RhsStorageOrder == ColMajor) && (ConjugateRhs)) { \
Map<const MatrixX##EIGPREFIX, 0, OuterStride<> > rhs(_rhs, k, n, OuterStride<>(rhsStride)); \
b_tmp = rhs.conjugate(); \
b = b_tmp.data(); \
ldb = convert_index<BlasIndex>(b_tmp.outerStride()); \
} else \
b = _rhs; \
\
BLASFUNC(&transa, &transb, &m, &n, &k, (const BLASTYPE*)&numext::real_ref(alpha), (const BLASTYPE*)a, &lda, \
(const BLASTYPE*)b, &ldb, (const BLASTYPE*)&numext::real_ref(beta), (BLASTYPE*)res, &ldc); \
} \
};
#ifdef EIGEN_USE_MKL
GEMM_SPECIALIZATION(double, d, double, dgemm)
GEMM_SPECIALIZATION(float, f, float, sgemm)
GEMM_SPECIALIZATION(dcomplex, cd, MKL_Complex16, zgemm)
GEMM_SPECIALIZATION(scomplex, cf, MKL_Complex8, cgemm)
#else
GEMM_SPECIALIZATION(double, d, double, dgemm_)
GEMM_SPECIALIZATION(float, f, float, sgemm_)
GEMM_SPECIALIZATION(dcomplex, cd, double, zgemm_)
GEMM_SPECIALIZATION(scomplex, cf, float, cgemm_)
#endif
} // namespace internal
} // end namespace Eigen
#endif // EIGEN_GENERAL_MATRIX_MATRIX_BLAS_H