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/*
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********************************************************************************
* Content : Eigen bindings to BLAS F77
* General matrix-vector product functionality based on ?GEMV.
********************************************************************************
*/
#ifndef EIGEN_GENERAL_MATRIX_VECTOR_BLAS_H
#define EIGEN_GENERAL_MATRIX_VECTOR_BLAS_H
// IWYU pragma: private
#include "../InternalHeaderCheck.h"
namespace Eigen {
namespace internal {
/**********************************************************************
* This file implements general matrix-vector multiplication using BLAS
* gemv function via partial specialization of
* general_matrix_vector_product::run(..) method for float, double,
* std::complex<float> and std::complex<double> types
**********************************************************************/
// gemv specialization
template <typename Index, typename LhsScalar, int StorageOrder, bool ConjugateLhs, typename RhsScalar,
bool ConjugateRhs>
struct general_matrix_vector_product_gemv;
#define EIGEN_BLAS_GEMV_SPECIALIZE(Scalar) \
template <typename Index, bool ConjugateLhs, bool ConjugateRhs> \
struct general_matrix_vector_product<Index, Scalar, const_blas_data_mapper<Scalar, Index, ColMajor>, ColMajor, \
ConjugateLhs, Scalar, const_blas_data_mapper<Scalar, Index, RowMajor>, \
ConjugateRhs, Specialized> { \
static void run(Index rows, Index cols, const const_blas_data_mapper<Scalar, Index, ColMajor>& lhs, \
const const_blas_data_mapper<Scalar, Index, RowMajor>& rhs, Scalar* res, Index resIncr, \
Scalar alpha) { \
if (ConjugateLhs) { \
general_matrix_vector_product<Index, Scalar, const_blas_data_mapper<Scalar, Index, ColMajor>, ColMajor, \
ConjugateLhs, Scalar, const_blas_data_mapper<Scalar, Index, RowMajor>, \
ConjugateRhs, BuiltIn>::run(rows, cols, lhs, rhs, res, resIncr, alpha); \
} else { \
general_matrix_vector_product_gemv<Index, Scalar, ColMajor, ConjugateLhs, Scalar, ConjugateRhs>::run( \
rows, cols, lhs.data(), lhs.stride(), rhs.data(), rhs.stride(), res, resIncr, alpha); \
} \
} \
}; \
template <typename Index, bool ConjugateLhs, bool ConjugateRhs> \
struct general_matrix_vector_product<Index, Scalar, const_blas_data_mapper<Scalar, Index, RowMajor>, RowMajor, \
ConjugateLhs, Scalar, const_blas_data_mapper<Scalar, Index, ColMajor>, \
ConjugateRhs, Specialized> { \
static void run(Index rows, Index cols, const const_blas_data_mapper<Scalar, Index, RowMajor>& lhs, \
const const_blas_data_mapper<Scalar, Index, ColMajor>& rhs, Scalar* res, Index resIncr, \
Scalar alpha) { \
general_matrix_vector_product_gemv<Index, Scalar, RowMajor, ConjugateLhs, Scalar, ConjugateRhs>::run( \
rows, cols, lhs.data(), lhs.stride(), rhs.data(), rhs.stride(), res, resIncr, alpha); \
} \
};
EIGEN_BLAS_GEMV_SPECIALIZE(double)
EIGEN_BLAS_GEMV_SPECIALIZE(float)
EIGEN_BLAS_GEMV_SPECIALIZE(dcomplex)
EIGEN_BLAS_GEMV_SPECIALIZE(scomplex)
#define EIGEN_BLAS_GEMV_SPECIALIZATION(EIGTYPE, BLASTYPE, BLASFUNC) \
template <typename Index, int LhsStorageOrder, bool ConjugateLhs, bool ConjugateRhs> \
struct general_matrix_vector_product_gemv<Index, EIGTYPE, LhsStorageOrder, ConjugateLhs, EIGTYPE, ConjugateRhs> { \
typedef Matrix<EIGTYPE, Dynamic, 1, ColMajor> GEMVVector; \
\
static void run(Index rows, Index cols, const EIGTYPE* lhs, Index lhsStride, const EIGTYPE* rhs, Index rhsIncr, \
EIGTYPE* res, Index resIncr, EIGTYPE alpha) { \
if (rows == 0 || cols == 0) return; \
BlasIndex m = convert_index<BlasIndex>(rows), n = convert_index<BlasIndex>(cols), \
lda = convert_index<BlasIndex>(lhsStride), incx = convert_index<BlasIndex>(rhsIncr), \
incy = convert_index<BlasIndex>(resIncr); \
const EIGTYPE beta(1); \
const EIGTYPE* x_ptr; \
char trans = (LhsStorageOrder == ColMajor) ? 'N' : (ConjugateLhs) ? 'C' : 'T'; \
if (LhsStorageOrder == RowMajor) { \
m = convert_index<BlasIndex>(cols); \
n = convert_index<BlasIndex>(rows); \
} \
GEMVVector x_tmp; \
if (ConjugateRhs) { \
Map<const GEMVVector, 0, InnerStride<> > map_x(rhs, cols, 1, InnerStride<>(incx)); \
x_tmp = map_x.conjugate(); \
x_ptr = x_tmp.data(); \
incx = 1; \
} else { \
x_ptr = rhs; \
} \
BLASFUNC(&trans, &m, &n, (const BLASTYPE*)&numext::real_ref(alpha), (const BLASTYPE*)lhs, &lda, \
(const BLASTYPE*)x_ptr, &incx, (const BLASTYPE*)&numext::real_ref(beta), (BLASTYPE*)res, &incy); \
} \
};
#ifdef EIGEN_USE_MKL
EIGEN_BLAS_GEMV_SPECIALIZATION(double, double, dgemv)
EIGEN_BLAS_GEMV_SPECIALIZATION(float, float, sgemv)
EIGEN_BLAS_GEMV_SPECIALIZATION(dcomplex, MKL_Complex16, zgemv)
EIGEN_BLAS_GEMV_SPECIALIZATION(scomplex, MKL_Complex8, cgemv)
#else
EIGEN_BLAS_GEMV_SPECIALIZATION(double, double, dgemv_)
EIGEN_BLAS_GEMV_SPECIALIZATION(float, float, sgemv_)
EIGEN_BLAS_GEMV_SPECIALIZATION(dcomplex, double, zgemv_)
EIGEN_BLAS_GEMV_SPECIALIZATION(scomplex, float, cgemv_)
#endif
} // namespace internal
} // end namespace Eigen
#endif // EIGEN_GENERAL_MATRIX_VECTOR_BLAS_H