GeneralMatrixMatrix_BLAS.h

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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