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//
 ********************************************************************************
 *   Content : Eigen bindings to BLAS F77
 *   Self adjoint matrix * matrix product functionality based on ?SYMM/?HEMM.
 ********************************************************************************
*/

#ifndef EIGEN_SELFADJOINT_MATRIX_MATRIX_BLAS_H
#define EIGEN_SELFADJOINT_MATRIX_MATRIX_BLAS_H

// IWYU pragma: private
#include "../InternalHeaderCheck.h"

namespace Eigen {

namespace internal {

/* Optimized selfadjoint matrix * matrix (?SYMM/?HEMM) product */

#define EIGEN_BLAS_SYMM_L(EIGTYPE, BLASTYPE, EIGPREFIX, BLASFUNC)                                                \
  template <typename Index, int LhsStorageOrder, bool ConjugateLhs, int RhsStorageOrder, bool ConjugateRhs>      \
  struct product_selfadjoint_matrix<EIGTYPE, Index, LhsStorageOrder, true, ConjugateLhs, RhsStorageOrder, false, \
                                    ConjugateRhs, ColMajor, 1> {                                                 \
    static void run(Index rows, Index cols, const EIGTYPE* _lhs, Index lhsStride, const EIGTYPE* _rhs,           \
                    Index rhsStride, EIGTYPE* res, Index resIncr, Index resStride, EIGTYPE alpha,                \
                    level3_blocking<EIGTYPE, EIGTYPE>& /*blocking*/) {                                           \
      if (rows == 0 || cols == 0) return;                                                                        \
      EIGEN_ONLY_USED_FOR_DEBUG(resIncr);                                                                        \
      eigen_assert(resIncr == 1);                                                                                \
      char side = 'L', uplo = 'L';                                                                               \
      BlasIndex m, n, lda, ldb, ldc;                                                                             \
      const EIGTYPE *a, *b;                                                                                      \
      EIGTYPE beta(1);                                                                                           \
      MatrixX##EIGPREFIX b_tmp;                                                                                  \
                                                                                                                 \
      /* Set transpose options */                                                                                \
      /* Set m, n, k */                                                                                          \
      m = convert_index<BlasIndex>(rows);                                                                        \
      n = convert_index<BlasIndex>(cols);                                                                        \
                                                                                                                 \
      /* 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 == RowMajor) uplo = 'U';                                                               \
      a = _lhs;                                                                                                  \
                                                                                                                 \
      if (RhsStorageOrder == RowMajor) {                                                                         \
        Map<const MatrixX##EIGPREFIX, 0, OuterStride<> > rhs(_rhs, n, m, OuterStride<>(rhsStride));              \
        b_tmp = rhs.adjoint();                                                                                   \
        b = b_tmp.data();                                                                                        \
        ldb = convert_index<BlasIndex>(b_tmp.outerStride());                                                     \
      } else                                                                                                     \
        b = _rhs;                                                                                                \
                                                                                                                 \
      BLASFUNC(&side, &uplo, &m, &n, (const BLASTYPE*)&numext::real_ref(alpha), (const BLASTYPE*)a, &lda,        \
               (const BLASTYPE*)b, &ldb, (const BLASTYPE*)&numext::real_ref(beta), (BLASTYPE*)res, &ldc);        \
    }                                                                                                            \
  };

#define EIGEN_BLAS_HEMM_L(EIGTYPE, BLASTYPE, EIGPREFIX, BLASFUNC)                                                  \
  template <typename Index, int LhsStorageOrder, bool ConjugateLhs, int RhsStorageOrder, bool ConjugateRhs>        \
  struct product_selfadjoint_matrix<EIGTYPE, Index, LhsStorageOrder, true, ConjugateLhs, RhsStorageOrder, false,   \
                                    ConjugateRhs, ColMajor, 1> {                                                   \
    static void run(Index rows, Index cols, const EIGTYPE* _lhs, Index lhsStride, const EIGTYPE* _rhs,             \
                    Index rhsStride, EIGTYPE* res, Index resIncr, Index resStride, EIGTYPE alpha,                  \
                    level3_blocking<EIGTYPE, EIGTYPE>& /*blocking*/) {                                             \
      if (rows == 0 || cols == 0) return;                                                                          \
      EIGEN_ONLY_USED_FOR_DEBUG(resIncr);                                                                          \
      eigen_assert(resIncr == 1);                                                                                  \
      char side = 'L', uplo = 'L';                                                                                 \
      BlasIndex m, n, lda, ldb, ldc;                                                                               \
      const EIGTYPE *a, *b;                                                                                        \
      EIGTYPE beta(1);                                                                                             \
      MatrixX##EIGPREFIX b_tmp;                                                                                    \
      Matrix<EIGTYPE, Dynamic, Dynamic, LhsStorageOrder> a_tmp;                                                    \
                                                                                                                   \
      /* Set transpose options */                                                                                  \
      /* Set m, n, k */                                                                                            \
      m = convert_index<BlasIndex>(rows);                                                                          \
      n = convert_index<BlasIndex>(cols);                                                                          \
                                                                                                                   \
      /* 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) || ((LhsStorageOrder == RowMajor) && (!ConjugateLhs))) { \
        Map<const Matrix<EIGTYPE, Dynamic, Dynamic, LhsStorageOrder>, 0, OuterStride<> > lhs(                      \
            _lhs, m, m, OuterStride<>(lhsStride));                                                                 \
        a_tmp = lhs.conjugate();                                                                                   \
        a = a_tmp.data();                                                                                          \
        lda = convert_index<BlasIndex>(a_tmp.outerStride());                                                       \
      } else                                                                                                       \
        a = _lhs;                                                                                                  \
      if (LhsStorageOrder == RowMajor) uplo = 'U';                                                                 \
                                                                                                                   \
      if (RhsStorageOrder == ColMajor && (!ConjugateRhs)) {                                                        \
        b = _rhs;                                                                                                  \
      } else {                                                                                                     \
        if (RhsStorageOrder == ColMajor && ConjugateRhs) {                                                         \
          Map<const MatrixX##EIGPREFIX, 0, OuterStride<> > rhs(_rhs, m, n, OuterStride<>(rhsStride));              \
          b_tmp = rhs.conjugate();                                                                                 \
        } else if (ConjugateRhs) {                                                                                 \
          Map<const MatrixX##EIGPREFIX, 0, OuterStride<> > rhs(_rhs, n, m, OuterStride<>(rhsStride));              \
          b_tmp = rhs.adjoint();                                                                                   \
        } else {                                                                                                   \
          Map<const MatrixX##EIGPREFIX, 0, OuterStride<> > rhs(_rhs, n, m, OuterStride<>(rhsStride));              \
          b_tmp = rhs.transpose();                                                                                 \
        }                                                                                                          \
        b = b_tmp.data();                                                                                          \
        ldb = convert_index<BlasIndex>(b_tmp.outerStride());                                                       \
      }                                                                                                            \
                                                                                                                   \
      BLASFUNC(&side, &uplo, &m, &n, (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
EIGEN_BLAS_SYMM_L(double, double, d, dsymm)
EIGEN_BLAS_SYMM_L(float, float, f, ssymm)
EIGEN_BLAS_HEMM_L(dcomplex, MKL_Complex16, cd, zhemm)
EIGEN_BLAS_HEMM_L(scomplex, MKL_Complex8, cf, chemm)
#else
EIGEN_BLAS_SYMM_L(double, double, d, dsymm_)
EIGEN_BLAS_SYMM_L(float, float, f, ssymm_)
EIGEN_BLAS_HEMM_L(dcomplex, double, cd, zhemm_)
EIGEN_BLAS_HEMM_L(scomplex, float, cf, chemm_)
#endif

/* Optimized matrix * selfadjoint matrix (?SYMM/?HEMM) product */

#define EIGEN_BLAS_SYMM_R(EIGTYPE, BLASTYPE, EIGPREFIX, BLASFUNC)                                                \
  template <typename Index, int LhsStorageOrder, bool ConjugateLhs, int RhsStorageOrder, bool ConjugateRhs>      \
  struct product_selfadjoint_matrix<EIGTYPE, Index, LhsStorageOrder, false, ConjugateLhs, RhsStorageOrder, true, \
                                    ConjugateRhs, ColMajor, 1> {                                                 \
    static void run(Index rows, Index cols, const EIGTYPE* _lhs, Index lhsStride, const EIGTYPE* _rhs,           \
                    Index rhsStride, EIGTYPE* res, Index resIncr, Index resStride, EIGTYPE alpha,                \
                    level3_blocking<EIGTYPE, EIGTYPE>& /*blocking*/) {                                           \
      if (rows == 0 || cols == 0) return;                                                                        \
      EIGEN_ONLY_USED_FOR_DEBUG(resIncr);                                                                        \
      eigen_assert(resIncr == 1);                                                                                \
      char side = 'R', uplo = 'L';                                                                               \
      BlasIndex m, n, lda, ldb, ldc;                                                                             \
      const EIGTYPE *a, *b;                                                                                      \
      EIGTYPE beta(1);                                                                                           \
      MatrixX##EIGPREFIX b_tmp;                                                                                  \
                                                                                                                 \
      /* Set m, n, k */                                                                                          \
      m = convert_index<BlasIndex>(rows);                                                                        \
      n = convert_index<BlasIndex>(cols);                                                                        \
                                                                                                                 \
      /* Set lda, ldb, ldc */                                                                                    \
      lda = convert_index<BlasIndex>(rhsStride);                                                                 \
      ldb = convert_index<BlasIndex>(lhsStride);                                                                 \
      ldc = convert_index<BlasIndex>(resStride);                                                                 \
                                                                                                                 \
      /* Set a, b, c */                                                                                          \
      if (RhsStorageOrder == RowMajor) uplo = 'U';                                                               \
      a = _rhs;                                                                                                  \
                                                                                                                 \
      if (LhsStorageOrder == RowMajor) {                                                                         \
        Map<const MatrixX##EIGPREFIX, 0, OuterStride<> > lhs(_lhs, n, m, OuterStride<>(rhsStride));              \
        b_tmp = lhs.adjoint();                                                                                   \
        b = b_tmp.data();                                                                                        \
        ldb = convert_index<BlasIndex>(b_tmp.outerStride());                                                     \
      } else                                                                                                     \
        b = _lhs;                                                                                                \
                                                                                                                 \
      BLASFUNC(&side, &uplo, &m, &n, (const BLASTYPE*)&numext::real_ref(alpha), (const BLASTYPE*)a, &lda,        \
               (const BLASTYPE*)b, &ldb, (const BLASTYPE*)&numext::real_ref(beta), (BLASTYPE*)res, &ldc);        \
    }                                                                                                            \
  };

#define EIGEN_BLAS_HEMM_R(EIGTYPE, BLASTYPE, EIGPREFIX, BLASFUNC)                                                  \
  template <typename Index, int LhsStorageOrder, bool ConjugateLhs, int RhsStorageOrder, bool ConjugateRhs>        \
  struct product_selfadjoint_matrix<EIGTYPE, Index, LhsStorageOrder, false, ConjugateLhs, RhsStorageOrder, true,   \
                                    ConjugateRhs, ColMajor, 1> {                                                   \
    static void run(Index rows, Index cols, const EIGTYPE* _lhs, Index lhsStride, const EIGTYPE* _rhs,             \
                    Index rhsStride, EIGTYPE* res, Index resIncr, Index resStride, EIGTYPE alpha,                  \
                    level3_blocking<EIGTYPE, EIGTYPE>& /*blocking*/) {                                             \
      EIGEN_ONLY_USED_FOR_DEBUG(resIncr);                                                                          \
      eigen_assert(resIncr == 1);                                                                                  \
      char side = 'R', uplo = 'L';                                                                                 \
      BlasIndex m, n, lda, ldb, ldc;                                                                               \
      const EIGTYPE *a, *b;                                                                                        \
      EIGTYPE beta(1);                                                                                             \
      MatrixX##EIGPREFIX b_tmp;                                                                                    \
      Matrix<EIGTYPE, Dynamic, Dynamic, RhsStorageOrder> a_tmp;                                                    \
                                                                                                                   \
      /* Set m, n, k */                                                                                            \
      m = convert_index<BlasIndex>(rows);                                                                          \
      n = convert_index<BlasIndex>(cols);                                                                          \
                                                                                                                   \
      /* Set lda, ldb, ldc */                                                                                      \
      lda = convert_index<BlasIndex>(rhsStride);                                                                   \
      ldb = convert_index<BlasIndex>(lhsStride);                                                                   \
      ldc = convert_index<BlasIndex>(resStride);                                                                   \
                                                                                                                   \
      /* Set a, b, c */                                                                                            \
      if (((RhsStorageOrder == ColMajor) && ConjugateRhs) || ((RhsStorageOrder == RowMajor) && (!ConjugateRhs))) { \
        Map<const Matrix<EIGTYPE, Dynamic, Dynamic, RhsStorageOrder>, 0, OuterStride<> > rhs(                      \
            _rhs, n, n, OuterStride<>(rhsStride));                                                                 \
        a_tmp = rhs.conjugate();                                                                                   \
        a = a_tmp.data();                                                                                          \
        lda = convert_index<BlasIndex>(a_tmp.outerStride());                                                       \
      } else                                                                                                       \
        a = _rhs;                                                                                                  \
      if (RhsStorageOrder == RowMajor) uplo = 'U';                                                                 \
                                                                                                                   \
      if (LhsStorageOrder == ColMajor && (!ConjugateLhs)) {                                                        \
        b = _lhs;                                                                                                  \
      } else {                                                                                                     \
        if (LhsStorageOrder == ColMajor && ConjugateLhs) {                                                         \
          Map<const MatrixX##EIGPREFIX, 0, OuterStride<> > lhs(_lhs, m, n, OuterStride<>(lhsStride));              \
          b_tmp = lhs.conjugate();                                                                                 \
        } else if (ConjugateLhs) {                                                                                 \
          Map<const MatrixX##EIGPREFIX, 0, OuterStride<> > lhs(_lhs, n, m, OuterStride<>(lhsStride));              \
          b_tmp = lhs.adjoint();                                                                                   \
        } else {                                                                                                   \
          Map<const MatrixX##EIGPREFIX, 0, OuterStride<> > lhs(_lhs, n, m, OuterStride<>(lhsStride));              \
          b_tmp = lhs.transpose();                                                                                 \
        }                                                                                                          \
        b = b_tmp.data();                                                                                          \
        ldb = convert_index<BlasIndex>(b_tmp.outerStride());                                                       \
      }                                                                                                            \
                                                                                                                   \
      BLASFUNC(&side, &uplo, &m, &n, (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
EIGEN_BLAS_SYMM_R(double, double, d, dsymm)
EIGEN_BLAS_SYMM_R(float, float, f, ssymm)
EIGEN_BLAS_HEMM_R(dcomplex, MKL_Complex16, cd, zhemm)
EIGEN_BLAS_HEMM_R(scomplex, MKL_Complex8, cf, chemm)
#else
EIGEN_BLAS_SYMM_R(double, double, d, dsymm_)
EIGEN_BLAS_SYMM_R(float, float, f, ssymm_)
EIGEN_BLAS_HEMM_R(dcomplex, double, cd, zhemm_)
EIGEN_BLAS_HEMM_R(scomplex, float, cf, chemm_)
#endif
}  // end namespace internal

}  // end namespace Eigen

#endif  // EIGEN_SELFADJOINT_MATRIX_MATRIX_BLAS_H