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/*
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********************************************************************************
* Content : Eigen bindings to BLAS F77
* Level 3 BLAS SYRK/HERK implementation.
********************************************************************************
*/
#ifndef EIGEN_GENERAL_MATRIX_MATRIX_TRIANGULAR_BLAS_H
#define EIGEN_GENERAL_MATRIX_MATRIX_TRIANGULAR_BLAS_H
// IWYU pragma: private
#include "../InternalHeaderCheck.h"
namespace Eigen {
namespace internal {
template <typename Index, typename Scalar, int AStorageOrder, bool ConjugateA, int ResStorageOrder, int UpLo>
struct general_matrix_matrix_rankupdate
: general_matrix_matrix_triangular_product<Index, Scalar, AStorageOrder, ConjugateA, Scalar, AStorageOrder,
ConjugateA, ResStorageOrder, 1, UpLo, BuiltIn> {};
// try to go to BLAS specialization
#define EIGEN_BLAS_RANKUPDATE_SPECIALIZE(Scalar) \
template <typename Index, int LhsStorageOrder, bool ConjugateLhs, int RhsStorageOrder, bool ConjugateRhs, int UpLo> \
struct general_matrix_matrix_triangular_product<Index, Scalar, LhsStorageOrder, ConjugateLhs, Scalar, \
RhsStorageOrder, ConjugateRhs, ColMajor, 1, UpLo, Specialized> { \
static EIGEN_STRONG_INLINE void run(Index size, Index depth, const Scalar* lhs, Index lhsStride, \
const Scalar* rhs, Index rhsStride, Scalar* res, Index resIncr, \
Index resStride, Scalar alpha, level3_blocking<Scalar, Scalar>& blocking) { \
if (lhs == rhs && ((UpLo & (Lower | Upper)) == UpLo)) { \
general_matrix_matrix_rankupdate<Index, Scalar, LhsStorageOrder, ConjugateLhs, ColMajor, UpLo>::run( \
size, depth, lhs, lhsStride, rhs, rhsStride, res, resStride, alpha, blocking); \
} else { \
general_matrix_matrix_triangular_product<Index, Scalar, LhsStorageOrder, ConjugateLhs, Scalar, \
RhsStorageOrder, ConjugateRhs, ColMajor, 1, UpLo, \
BuiltIn>::run(size, depth, lhs, lhsStride, rhs, rhsStride, res, \
resIncr, resStride, alpha, blocking); \
} \
} \
};
EIGEN_BLAS_RANKUPDATE_SPECIALIZE(double)
EIGEN_BLAS_RANKUPDATE_SPECIALIZE(float)
// TODO handle complex cases
// EIGEN_BLAS_RANKUPDATE_SPECIALIZE(dcomplex)
// EIGEN_BLAS_RANKUPDATE_SPECIALIZE(scomplex)
// SYRK for float/double
#define EIGEN_BLAS_RANKUPDATE_R(EIGTYPE, BLASTYPE, BLASFUNC) \
template <typename Index, int AStorageOrder, bool ConjugateA, int UpLo> \
struct general_matrix_matrix_rankupdate<Index, EIGTYPE, AStorageOrder, ConjugateA, ColMajor, UpLo> { \
enum { \
IsLower = (UpLo & Lower) == Lower, \
LowUp = IsLower ? Lower : Upper, \
conjA = ((AStorageOrder == ColMajor) && ConjugateA) ? 1 : 0 \
}; \
static EIGEN_STRONG_INLINE void run(Index size, Index depth, const EIGTYPE* lhs, Index lhsStride, \
const EIGTYPE* /*rhs*/, Index /*rhsStride*/, EIGTYPE* res, Index resStride, \
EIGTYPE alpha, level3_blocking<EIGTYPE, EIGTYPE>& /*blocking*/) { \
/* typedef Matrix<EIGTYPE, Dynamic, Dynamic, RhsStorageOrder> MatrixRhs;*/ \
if (size == 0 || depth == 0) return; \
BlasIndex lda = convert_index<BlasIndex>(lhsStride), ldc = convert_index<BlasIndex>(resStride), \
n = convert_index<BlasIndex>(size), k = convert_index<BlasIndex>(depth); \
char uplo = ((IsLower) ? 'L' : 'U'), trans = ((AStorageOrder == RowMajor) ? 'T' : 'N'); \
EIGTYPE beta(1); \
BLASFUNC(&uplo, &trans, &n, &k, (const BLASTYPE*)&numext::real_ref(alpha), lhs, &lda, \
(const BLASTYPE*)&numext::real_ref(beta), res, &ldc); \
} \
};
// HERK for complex data
#define EIGEN_BLAS_RANKUPDATE_C(EIGTYPE, BLASTYPE, RTYPE, BLASFUNC) \
template <typename Index, int AStorageOrder, bool ConjugateA, int UpLo> \
struct general_matrix_matrix_rankupdate<Index, EIGTYPE, AStorageOrder, ConjugateA, ColMajor, UpLo> { \
enum { \
IsLower = (UpLo & Lower) == Lower, \
LowUp = IsLower ? Lower : Upper, \
conjA = (((AStorageOrder == ColMajor) && ConjugateA) || ((AStorageOrder == RowMajor) && !ConjugateA)) ? 1 : 0 \
}; \
static EIGEN_STRONG_INLINE void run(Index size, Index depth, const EIGTYPE* lhs, Index lhsStride, \
const EIGTYPE* /*rhs*/, Index /*rhsStride*/, EIGTYPE* res, Index resStride, \
EIGTYPE alpha, level3_blocking<EIGTYPE, EIGTYPE>& /*blocking*/) { \
typedef Matrix<EIGTYPE, Dynamic, Dynamic, AStorageOrder> MatrixType; \
if (size == 0 || depth == 0) return; \
BlasIndex lda = convert_index<BlasIndex>(lhsStride), ldc = convert_index<BlasIndex>(resStride), \
n = convert_index<BlasIndex>(size), k = convert_index<BlasIndex>(depth); \
char uplo = ((IsLower) ? 'L' : 'U'), trans = ((AStorageOrder == RowMajor) ? 'C' : 'N'); \
RTYPE alpha_, beta_; \
const EIGTYPE* a_ptr; \
\
alpha_ = alpha.real(); \
beta_ = 1.0; \
/* Copy with conjugation in some cases*/ \
MatrixType a; \
if (conjA) { \
Map<const MatrixType, 0, OuterStride<> > mapA(lhs, n, k, OuterStride<>(lhsStride)); \
a = mapA.conjugate(); \
lda = a.outerStride(); \
a_ptr = a.data(); \
} else \
a_ptr = lhs; \
BLASFUNC(&uplo, &trans, &n, &k, &alpha_, (BLASTYPE*)a_ptr, &lda, &beta_, (BLASTYPE*)res, &ldc); \
} \
};
#ifdef EIGEN_USE_MKL
EIGEN_BLAS_RANKUPDATE_R(double, double, dsyrk)
EIGEN_BLAS_RANKUPDATE_R(float, float, ssyrk)
#else
EIGEN_BLAS_RANKUPDATE_R(double, double, dsyrk_)
EIGEN_BLAS_RANKUPDATE_R(float, float, ssyrk_)
#endif
// TODO hanlde complex cases
// EIGEN_BLAS_RANKUPDATE_C(dcomplex, double, double, zherk_)
// EIGEN_BLAS_RANKUPDATE_C(scomplex, float, float, cherk_)
} // end namespace internal
} // end namespace Eigen
#endif // EIGEN_GENERAL_MATRIX_MATRIX_TRIANGULAR_BLAS_H