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/*
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WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
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(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
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(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 BLAS F77
* Triangular matrix * matrix product functionality based on ?TRMM.
********************************************************************************
*/
#ifndef EIGEN_TRIANGULAR_SOLVER_MATRIX_BLAS_H
#define EIGEN_TRIANGULAR_SOLVER_MATRIX_BLAS_H
// IWYU pragma: private
#include "../InternalHeaderCheck.h"
namespace Eigen {
namespace internal {
// implements LeftSide op(triangular)^-1 * general
#define EIGEN_BLAS_TRSM_L(EIGTYPE, BLASTYPE, BLASFUNC) \
template <typename Index, int Mode, bool Conjugate, int TriStorageOrder> \
struct triangular_solve_matrix<EIGTYPE, Index, OnTheLeft, Mode, Conjugate, TriStorageOrder, ColMajor, 1> { \
enum { \
IsLower = (Mode & Lower) == Lower, \
IsUnitDiag = (Mode & UnitDiag) ? 1 : 0, \
IsZeroDiag = (Mode & ZeroDiag) ? 1 : 0, \
conjA = ((TriStorageOrder == ColMajor) && Conjugate) ? 1 : 0 \
}; \
static void run(Index size, Index otherSize, const EIGTYPE* _tri, Index triStride, EIGTYPE* _other, \
Index otherIncr, Index otherStride, level3_blocking<EIGTYPE, EIGTYPE>& /*blocking*/) { \
if (size == 0 || otherSize == 0) return; \
EIGEN_ONLY_USED_FOR_DEBUG(otherIncr); \
eigen_assert(otherIncr == 1); \
BlasIndex m = convert_index<BlasIndex>(size), n = convert_index<BlasIndex>(otherSize), lda, ldb; \
char side = 'L', uplo, diag = 'N', transa; \
/* Set alpha_ */ \
EIGTYPE alpha(1); \
ldb = convert_index<BlasIndex>(otherStride); \
\
const EIGTYPE* a; \
/* Set trans */ \
transa = (TriStorageOrder == RowMajor) ? ((Conjugate) ? 'C' : 'T') : 'N'; \
/* Set uplo */ \
uplo = IsLower ? 'L' : 'U'; \
if (TriStorageOrder == RowMajor) uplo = (uplo == 'L') ? 'U' : 'L'; \
/* Set a, lda */ \
typedef Matrix<EIGTYPE, Dynamic, Dynamic, TriStorageOrder> MatrixTri; \
Map<const MatrixTri, 0, OuterStride<> > tri(_tri, size, size, OuterStride<>(triStride)); \
MatrixTri a_tmp; \
\
if (conjA) { \
a_tmp = tri.conjugate(); \
a = a_tmp.data(); \
lda = convert_index<BlasIndex>(a_tmp.outerStride()); \
} else { \
a = _tri; \
lda = convert_index<BlasIndex>(triStride); \
} \
if (IsUnitDiag) diag = 'U'; \
/* call ?trsm*/ \
BLASFUNC(&side, &uplo, &transa, &diag, &m, &n, (const BLASTYPE*)&numext::real_ref(alpha), (const BLASTYPE*)a, \
&lda, (BLASTYPE*)_other, &ldb); \
} \
};
#ifdef EIGEN_USE_MKL
EIGEN_BLAS_TRSM_L(double, double, dtrsm)
EIGEN_BLAS_TRSM_L(dcomplex, MKL_Complex16, ztrsm)
EIGEN_BLAS_TRSM_L(float, float, strsm)
EIGEN_BLAS_TRSM_L(scomplex, MKL_Complex8, ctrsm)
#else
EIGEN_BLAS_TRSM_L(double, double, dtrsm_)
EIGEN_BLAS_TRSM_L(dcomplex, double, ztrsm_)
EIGEN_BLAS_TRSM_L(float, float, strsm_)
EIGEN_BLAS_TRSM_L(scomplex, float, ctrsm_)
#endif
// implements RightSide general * op(triangular)^-1
#define EIGEN_BLAS_TRSM_R(EIGTYPE, BLASTYPE, BLASFUNC) \
template <typename Index, int Mode, bool Conjugate, int TriStorageOrder> \
struct triangular_solve_matrix<EIGTYPE, Index, OnTheRight, Mode, Conjugate, TriStorageOrder, ColMajor, 1> { \
enum { \
IsLower = (Mode & Lower) == Lower, \
IsUnitDiag = (Mode & UnitDiag) ? 1 : 0, \
IsZeroDiag = (Mode & ZeroDiag) ? 1 : 0, \
conjA = ((TriStorageOrder == ColMajor) && Conjugate) ? 1 : 0 \
}; \
static void run(Index size, Index otherSize, const EIGTYPE* _tri, Index triStride, EIGTYPE* _other, \
Index otherIncr, Index otherStride, level3_blocking<EIGTYPE, EIGTYPE>& /*blocking*/) { \
if (size == 0 || otherSize == 0) return; \
EIGEN_ONLY_USED_FOR_DEBUG(otherIncr); \
eigen_assert(otherIncr == 1); \
BlasIndex m = convert_index<BlasIndex>(otherSize), n = convert_index<BlasIndex>(size), lda, ldb; \
char side = 'R', uplo, diag = 'N', transa; \
/* Set alpha_ */ \
EIGTYPE alpha(1); \
ldb = convert_index<BlasIndex>(otherStride); \
\
const EIGTYPE* a; \
/* Set trans */ \
transa = (TriStorageOrder == RowMajor) ? ((Conjugate) ? 'C' : 'T') : 'N'; \
/* Set uplo */ \
uplo = IsLower ? 'L' : 'U'; \
if (TriStorageOrder == RowMajor) uplo = (uplo == 'L') ? 'U' : 'L'; \
/* Set a, lda */ \
typedef Matrix<EIGTYPE, Dynamic, Dynamic, TriStorageOrder> MatrixTri; \
Map<const MatrixTri, 0, OuterStride<> > tri(_tri, size, size, OuterStride<>(triStride)); \
MatrixTri a_tmp; \
\
if (conjA) { \
a_tmp = tri.conjugate(); \
a = a_tmp.data(); \
lda = convert_index<BlasIndex>(a_tmp.outerStride()); \
} else { \
a = _tri; \
lda = convert_index<BlasIndex>(triStride); \
} \
if (IsUnitDiag) diag = 'U'; \
/* call ?trsm*/ \
BLASFUNC(&side, &uplo, &transa, &diag, &m, &n, (const BLASTYPE*)&numext::real_ref(alpha), (const BLASTYPE*)a, \
&lda, (BLASTYPE*)_other, &ldb); \
/*std::cout << "TRMS_L specialization!\n";*/ \
} \
};
#ifdef EIGEN_USE_MKL
EIGEN_BLAS_TRSM_R(double, double, dtrsm)
EIGEN_BLAS_TRSM_R(dcomplex, MKL_Complex16, ztrsm)
EIGEN_BLAS_TRSM_R(float, float, strsm)
EIGEN_BLAS_TRSM_R(scomplex, MKL_Complex8, ctrsm)
#else
EIGEN_BLAS_TRSM_R(double, double, dtrsm_)
EIGEN_BLAS_TRSM_R(dcomplex, double, ztrsm_)
EIGEN_BLAS_TRSM_R(float, float, strsm_)
EIGEN_BLAS_TRSM_R(scomplex, float, ctrsm_)
#endif
} // end namespace internal
} // end namespace Eigen
#endif // EIGEN_TRIANGULAR_SOLVER_MATRIX_BLAS_H