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/*
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********************************************************************************
* Content : Eigen bindings to BLAS F77
* Selfadjoint matrix-vector product functionality based on ?SYMV/HEMV.
********************************************************************************
*/
#ifndef EIGEN_SELFADJOINT_MATRIX_VECTOR_BLAS_H
#define EIGEN_SELFADJOINT_MATRIX_VECTOR_BLAS_H
// IWYU pragma: private
#include "../InternalHeaderCheck.h"
namespace Eigen {
namespace internal {
/**********************************************************************
* This file implements selfadjoint matrix-vector multiplication using BLAS
**********************************************************************/
// symv/hemv specialization
template <typename Scalar, typename Index, int StorageOrder, int UpLo, bool ConjugateLhs, bool ConjugateRhs>
struct selfadjoint_matrix_vector_product_symv
: selfadjoint_matrix_vector_product<Scalar, Index, StorageOrder, UpLo, ConjugateLhs, ConjugateRhs, BuiltIn> {};
#define EIGEN_BLAS_SYMV_SPECIALIZE(Scalar) \
template <typename Index, int StorageOrder, int UpLo, bool ConjugateLhs, bool ConjugateRhs> \
struct selfadjoint_matrix_vector_product<Scalar, Index, StorageOrder, UpLo, ConjugateLhs, ConjugateRhs, \
Specialized> { \
static void run(Index size, const Scalar* lhs, Index lhsStride, const Scalar* _rhs, Scalar* res, Scalar alpha) { \
enum { IsColMajor = StorageOrder == ColMajor }; \
if (IsColMajor == ConjugateLhs) { \
selfadjoint_matrix_vector_product<Scalar, Index, StorageOrder, UpLo, ConjugateLhs, ConjugateRhs, \
BuiltIn>::run(size, lhs, lhsStride, _rhs, res, alpha); \
} else { \
selfadjoint_matrix_vector_product_symv<Scalar, Index, StorageOrder, UpLo, ConjugateLhs, ConjugateRhs>::run( \
size, lhs, lhsStride, _rhs, res, alpha); \
} \
} \
};
EIGEN_BLAS_SYMV_SPECIALIZE(double)
EIGEN_BLAS_SYMV_SPECIALIZE(float)
EIGEN_BLAS_SYMV_SPECIALIZE(dcomplex)
EIGEN_BLAS_SYMV_SPECIALIZE(scomplex)
#define EIGEN_BLAS_SYMV_SPECIALIZATION(EIGTYPE, BLASTYPE, BLASFUNC) \
template <typename Index, int StorageOrder, int UpLo, bool ConjugateLhs, bool ConjugateRhs> \
struct selfadjoint_matrix_vector_product_symv<EIGTYPE, Index, StorageOrder, UpLo, ConjugateLhs, ConjugateRhs> { \
typedef Matrix<EIGTYPE, Dynamic, 1, ColMajor> SYMVVector; \
\
static void run(Index size, const EIGTYPE* lhs, Index lhsStride, const EIGTYPE* _rhs, EIGTYPE* res, \
EIGTYPE alpha) { \
if (size == 0) return; \
enum { IsRowMajor = StorageOrder == RowMajor ? 1 : 0, IsLower = UpLo == Lower ? 1 : 0 }; \
BlasIndex n = convert_index<BlasIndex>(size), lda = convert_index<BlasIndex>(lhsStride), incx = 1, incy = 1; \
EIGTYPE beta(1); \
const EIGTYPE* x_ptr; \
char uplo = (IsRowMajor) ? (IsLower ? 'U' : 'L') : (IsLower ? 'L' : 'U'); \
SYMVVector x_tmp; \
if (ConjugateRhs) { \
Map<const SYMVVector, 0> map_x(_rhs, size, 1); \
x_tmp = map_x.conjugate(); \
x_ptr = x_tmp.data(); \
} else \
x_ptr = _rhs; \
BLASFUNC(&uplo, &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_SYMV_SPECIALIZATION(double, double, dsymv)
EIGEN_BLAS_SYMV_SPECIALIZATION(float, float, ssymv)
EIGEN_BLAS_SYMV_SPECIALIZATION(dcomplex, MKL_Complex16, zhemv)
EIGEN_BLAS_SYMV_SPECIALIZATION(scomplex, MKL_Complex8, chemv)
#else
EIGEN_BLAS_SYMV_SPECIALIZATION(double, double, dsymv_)
EIGEN_BLAS_SYMV_SPECIALIZATION(float, float, ssymv_)
EIGEN_BLAS_SYMV_SPECIALIZATION(dcomplex, double, zhemv_)
EIGEN_BLAS_SYMV_SPECIALIZATION(scomplex, float, chemv_)
#endif
} // end namespace internal
} // end namespace Eigen
#endif // EIGEN_SELFADJOINT_MATRIX_VECTOR_BLAS_H