GeneralMatrixMatrixTriangular_BLAS.h

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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 handle 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