/*
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   list of conditions and the following disclaimer.
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 ********************************************************************************
 *   Content : Eigen bindings to BLAS F77
 *   Triangular matrix * matrix product functionality based on ?TRMM.
 ********************************************************************************
*/

#ifndef EIGEN_TRIANGULAR_MATRIX_MATRIX_BLAS_H
#define EIGEN_TRIANGULAR_MATRIX_MATRIX_BLAS_H

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

namespace Eigen {

namespace internal {

template <typename Scalar, typename Index, int Mode, bool LhsIsTriangular, int LhsStorageOrder, bool ConjugateLhs,
          int RhsStorageOrder, bool ConjugateRhs, int ResStorageOrder>
struct product_triangular_matrix_matrix_trmm
    : product_triangular_matrix_matrix<Scalar, Index, Mode, LhsIsTriangular, LhsStorageOrder, ConjugateLhs,
                                       RhsStorageOrder, ConjugateRhs, ResStorageOrder, 1, BuiltIn> {};

// try to go to BLAS specialization
#define EIGEN_BLAS_TRMM_SPECIALIZE(Scalar, LhsIsTriangular)                                                           \
  template <typename Index, int Mode, int LhsStorageOrder, bool ConjugateLhs, int RhsStorageOrder, bool ConjugateRhs> \
  struct product_triangular_matrix_matrix<Scalar, Index, Mode, LhsIsTriangular, LhsStorageOrder, ConjugateLhs,        \
                                          RhsStorageOrder, ConjugateRhs, ColMajor, 1, Specialized> {                  \
    static inline void run(Index _rows, Index _cols, 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) {                                 \
      EIGEN_ONLY_USED_FOR_DEBUG(resIncr);                                                                             \
      eigen_assert(resIncr == 1);                                                                                     \
      product_triangular_matrix_matrix_trmm<Scalar, Index, Mode, LhsIsTriangular, LhsStorageOrder, ConjugateLhs,      \
                                            RhsStorageOrder, ConjugateRhs, ColMajor>::run(_rows, _cols, _depth, _lhs, \
                                                                                          lhsStride, _rhs, rhsStride, \
                                                                                          res, resStride, alpha,      \
                                                                                          blocking);                  \
    }                                                                                                                 \
  };

EIGEN_BLAS_TRMM_SPECIALIZE(double, true)
EIGEN_BLAS_TRMM_SPECIALIZE(double, false)
EIGEN_BLAS_TRMM_SPECIALIZE(dcomplex, true)
EIGEN_BLAS_TRMM_SPECIALIZE(dcomplex, false)
EIGEN_BLAS_TRMM_SPECIALIZE(float, true)
EIGEN_BLAS_TRMM_SPECIALIZE(float, false)
EIGEN_BLAS_TRMM_SPECIALIZE(scomplex, true)
EIGEN_BLAS_TRMM_SPECIALIZE(scomplex, false)

// implements col-major += alpha * op(triangular) * op(general)
#define EIGEN_BLAS_TRMM_L(EIGTYPE, BLASTYPE, EIGPREFIX, BLASFUNC)                                                      \
  template <typename Index, int Mode, int LhsStorageOrder, bool ConjugateLhs, int RhsStorageOrder, bool ConjugateRhs>  \
  struct product_triangular_matrix_matrix_trmm<EIGTYPE, Index, Mode, true, LhsStorageOrder, ConjugateLhs,              \
                                               RhsStorageOrder, ConjugateRhs, ColMajor> {                              \
    enum {                                                                                                             \
      IsLower = (Mode & Lower) == Lower,                                                                               \
      SetDiag = (Mode & (ZeroDiag | UnitDiag)) ? 0 : 1,                                                                \
      IsUnitDiag = (Mode & UnitDiag) ? 1 : 0,                                                                          \
      IsZeroDiag = (Mode & ZeroDiag) ? 1 : 0,                                                                          \
      LowUp = IsLower ? Lower : Upper,                                                                                 \
      conjA = ((LhsStorageOrder == ColMajor) && ConjugateLhs) ? 1 : 0                                                  \
    };                                                                                                                 \
                                                                                                                       \
    static void run(Index _rows, Index _cols, Index _depth, const EIGTYPE* _lhs, Index lhsStride, const EIGTYPE* _rhs, \
                    Index rhsStride, EIGTYPE* res, Index resStride, EIGTYPE alpha,                                     \
                    level3_blocking<EIGTYPE, EIGTYPE>& blocking) {                                                     \
      if (_rows == 0 || _cols == 0 || _depth == 0) return;                                                             \
      Index diagSize = (std::min)(_rows, _depth);                                                                      \
      Index rows = IsLower ? _rows : diagSize;                                                                         \
      Index depth = IsLower ? diagSize : _depth;                                                                       \
      Index cols = _cols;                                                                                              \
                                                                                                                       \
      typedef Matrix<EIGTYPE, Dynamic, Dynamic, LhsStorageOrder> MatrixLhs;                                            \
      typedef Matrix<EIGTYPE, Dynamic, Dynamic, RhsStorageOrder> MatrixRhs;                                            \
                                                                                                                       \
      /* Non-square case - doesn't fit to BLAS ?TRMM. Fall to default triangular product or call BLAS ?GEMM*/          \
      if (rows != depth) {                                                                                             \
        /* FIXME handle mkl_domain_get_max_threads */                                                                  \
        /*int nthr = mkl_domain_get_max_threads(EIGEN_BLAS_DOMAIN_BLAS);*/ int nthr = 1;                               \
                                                                                                                       \
        if (((nthr == 1) && (((std::max)(rows, depth) - diagSize) / (double)diagSize < 0.5))) {                        \
          /* Most likely no benefit to call TRMM or GEMM from BLAS */                                                  \
          product_triangular_matrix_matrix<EIGTYPE, Index, Mode, true, LhsStorageOrder, ConjugateLhs, RhsStorageOrder, \
                                           ConjugateRhs, ColMajor, 1, BuiltIn>::run(_rows, _cols, _depth, _lhs,        \
                                                                                    lhsStride, _rhs, rhsStride, res,   \
                                                                                    1, resStride, alpha, blocking);    \
          /*std::cout << "TRMM_L: A is not square! Go to Eigen TRMM implementation!\n";*/                              \
        } else {                                                                                                       \
          /* Make sense to call GEMM */                                                                                \
          Map<const MatrixLhs, 0, OuterStride<> > lhsMap(_lhs, rows, depth, OuterStride<>(lhsStride));                 \
          MatrixLhs aa_tmp = lhsMap.template triangularView<Mode>();                                                   \
          BlasIndex aStride = convert_index<BlasIndex>(aa_tmp.outerStride());                                          \
          gemm_blocking_space<ColMajor, EIGTYPE, EIGTYPE, Dynamic, Dynamic, Dynamic> gemm_blocking(_rows, _cols,       \
                                                                                                   _depth, 1, true);   \
          general_matrix_matrix_product<Index, EIGTYPE, LhsStorageOrder, ConjugateLhs, EIGTYPE, RhsStorageOrder,       \
                                        ConjugateRhs, ColMajor, 1>::run(rows, cols, depth, aa_tmp.data(), aStride,     \
                                                                        _rhs, rhsStride, res, 1, resStride, alpha,     \
                                                                        gemm_blocking, 0);                             \
                                                                                                                       \
          /*std::cout << "TRMM_L: A is not square! Go to BLAS GEMM implementation! " << nthr<<" \n";*/                 \
        }                                                                                                              \
        return;                                                                                                        \
      }                                                                                                                \
      char side = 'L', transa, uplo, diag = 'N';                                                                       \
      EIGTYPE* b;                                                                                                      \
      const EIGTYPE* a;                                                                                                \
      BlasIndex m, n, lda, ldb;                                                                                        \
                                                                                                                       \
      /* Set m, n */                                                                                                   \
      m = convert_index<BlasIndex>(diagSize);                                                                          \
      n = convert_index<BlasIndex>(cols);                                                                              \
                                                                                                                       \
      /* Set trans */                                                                                                  \
      transa = (LhsStorageOrder == RowMajor) ? ((ConjugateLhs) ? 'C' : 'T') : 'N';                                     \
                                                                                                                       \
      /* Set b, ldb */                                                                                                 \
      Map<const MatrixRhs, 0, OuterStride<> > rhs(_rhs, depth, cols, OuterStride<>(rhsStride));                        \
      MatrixX##EIGPREFIX b_tmp;                                                                                        \
                                                                                                                       \
      if (ConjugateRhs)                                                                                                \
        b_tmp = rhs.conjugate();                                                                                       \
      else                                                                                                             \
        b_tmp = rhs;                                                                                                   \
      b = b_tmp.data();                                                                                                \
      ldb = convert_index<BlasIndex>(b_tmp.outerStride());                                                             \
                                                                                                                       \
      /* Set uplo */                                                                                                   \
      uplo = IsLower ? 'L' : 'U';                                                                                      \
      if (LhsStorageOrder == RowMajor) uplo = (uplo == 'L') ? 'U' : 'L';                                               \
      /* Set a, lda */                                                                                                 \
      Map<const MatrixLhs, 0, OuterStride<> > lhs(_lhs, rows, depth, OuterStride<>(lhsStride));                        \
      MatrixLhs a_tmp;                                                                                                 \
                                                                                                                       \
      if ((conjA != 0) || (SetDiag == 0)) {                                                                            \
        if (conjA)                                                                                                     \
          a_tmp = lhs.conjugate();                                                                                     \
        else                                                                                                           \
          a_tmp = lhs;                                                                                                 \
        if (IsZeroDiag)                                                                                                \
          a_tmp.diagonal().setZero();                                                                                  \
        else if (IsUnitDiag)                                                                                           \
          a_tmp.diagonal().setOnes();                                                                                  \
        a = a_tmp.data();                                                                                              \
        lda = convert_index<BlasIndex>(a_tmp.outerStride());                                                           \
      } else {                                                                                                         \
        a = _lhs;                                                                                                      \
        lda = convert_index<BlasIndex>(lhsStride);                                                                     \
      }                                                                                                                \
      /*std::cout << "TRMM_L: A is square! Go to BLAS TRMM implementation! \n";*/                                      \
      /* call ?trmm*/                                                                                                  \
      BLASFUNC(&side, &uplo, &transa, &diag, &m, &n, (const BLASTYPE*)&numext::real_ref(alpha), (const BLASTYPE*)a,    \
               &lda, (BLASTYPE*)b, &ldb);                                                                              \
                                                                                                                       \
      /* Add op(a_triangular)*b into res*/                                                                             \
      Map<MatrixX##EIGPREFIX, 0, OuterStride<> > res_tmp(res, rows, cols, OuterStride<>(resStride));                   \
      res_tmp = res_tmp + b_tmp;                                                                                       \
    }                                                                                                                  \
  };

#ifdef EIGEN_USE_MKL
EIGEN_BLAS_TRMM_L(double, double, d, dtrmm)
EIGEN_BLAS_TRMM_L(dcomplex, MKL_Complex16, cd, ztrmm)
EIGEN_BLAS_TRMM_L(float, float, f, strmm)
EIGEN_BLAS_TRMM_L(scomplex, MKL_Complex8, cf, ctrmm)
#else
EIGEN_BLAS_TRMM_L(double, double, d, dtrmm_)
EIGEN_BLAS_TRMM_L(dcomplex, double, cd, ztrmm_)
EIGEN_BLAS_TRMM_L(float, float, f, strmm_)
EIGEN_BLAS_TRMM_L(scomplex, float, cf, ctrmm_)
#endif

// implements col-major += alpha * op(general) * op(triangular)
#define EIGEN_BLAS_TRMM_R(EIGTYPE, BLASTYPE, EIGPREFIX, BLASFUNC)                                                      \
  template <typename Index, int Mode, int LhsStorageOrder, bool ConjugateLhs, int RhsStorageOrder, bool ConjugateRhs>  \
  struct product_triangular_matrix_matrix_trmm<EIGTYPE, Index, Mode, false, LhsStorageOrder, ConjugateLhs,             \
                                               RhsStorageOrder, ConjugateRhs, ColMajor> {                              \
    enum {                                                                                                             \
      IsLower = (Mode & Lower) == Lower,                                                                               \
      SetDiag = (Mode & (ZeroDiag | UnitDiag)) ? 0 : 1,                                                                \
      IsUnitDiag = (Mode & UnitDiag) ? 1 : 0,                                                                          \
      IsZeroDiag = (Mode & ZeroDiag) ? 1 : 0,                                                                          \
      LowUp = IsLower ? Lower : Upper,                                                                                 \
      conjA = ((RhsStorageOrder == ColMajor) && ConjugateRhs) ? 1 : 0                                                  \
    };                                                                                                                 \
                                                                                                                       \
    static void run(Index _rows, Index _cols, Index _depth, const EIGTYPE* _lhs, Index lhsStride, const EIGTYPE* _rhs, \
                    Index rhsStride, EIGTYPE* res, Index resStride, EIGTYPE alpha,                                     \
                    level3_blocking<EIGTYPE, EIGTYPE>& blocking) {                                                     \
      if (_rows == 0 || _cols == 0 || _depth == 0) return;                                                             \
      Index diagSize = (std::min)(_cols, _depth);                                                                      \
      Index rows = _rows;                                                                                              \
      Index depth = IsLower ? _depth : diagSize;                                                                       \
      Index cols = IsLower ? diagSize : _cols;                                                                         \
                                                                                                                       \
      typedef Matrix<EIGTYPE, Dynamic, Dynamic, LhsStorageOrder> MatrixLhs;                                            \
      typedef Matrix<EIGTYPE, Dynamic, Dynamic, RhsStorageOrder> MatrixRhs;                                            \
                                                                                                                       \
      /* Non-square case - doesn't fit to BLAS ?TRMM. Fall to default triangular product or call BLAS ?GEMM*/          \
      if (cols != depth) {                                                                                             \
        int nthr = 1 /*mkl_domain_get_max_threads(EIGEN_BLAS_DOMAIN_BLAS)*/;                                           \
                                                                                                                       \
        if ((nthr == 1) && (((std::max)(cols, depth) - diagSize) / (double)diagSize < 0.5)) {                          \
          /* Most likely no benefit to call TRMM or GEMM from BLAS*/                                                   \
          product_triangular_matrix_matrix<EIGTYPE, Index, Mode, false, LhsStorageOrder, ConjugateLhs,                 \
                                           RhsStorageOrder, ConjugateRhs, ColMajor, 1, BuiltIn>::run(_rows, _cols,     \
                                                                                                     _depth, _lhs,     \
                                                                                                     lhsStride, _rhs,  \
                                                                                                     rhsStride, res,   \
                                                                                                     1, resStride,     \
                                                                                                     alpha, blocking); \
          /*std::cout << "TRMM_R: A is not square! Go to Eigen TRMM implementation!\n";*/                              \
        } else {                                                                                                       \
          /* Make sense to call GEMM */                                                                                \
          Map<const MatrixRhs, 0, OuterStride<> > rhsMap(_rhs, depth, cols, OuterStride<>(rhsStride));                 \
          MatrixRhs aa_tmp = rhsMap.template triangularView<Mode>();                                                   \
          BlasIndex aStride = convert_index<BlasIndex>(aa_tmp.outerStride());                                          \
          gemm_blocking_space<ColMajor, EIGTYPE, EIGTYPE, Dynamic, Dynamic, Dynamic> gemm_blocking(_rows, _cols,       \
                                                                                                   _depth, 1, true);   \
          general_matrix_matrix_product<Index, EIGTYPE, LhsStorageOrder, ConjugateLhs, EIGTYPE, RhsStorageOrder,       \
                                        ConjugateRhs, ColMajor, 1>::run(rows, cols, depth, _lhs, lhsStride,            \
                                                                        aa_tmp.data(), aStride, res, 1, resStride,     \
                                                                        alpha, gemm_blocking, 0);                      \
                                                                                                                       \
          /*std::cout << "TRMM_R: A is not square! Go to BLAS GEMM implementation! " << nthr<<" \n";*/                 \
        }                                                                                                              \
        return;                                                                                                        \
      }                                                                                                                \
      char side = 'R', transa, uplo, diag = 'N';                                                                       \
      EIGTYPE* b;                                                                                                      \
      const EIGTYPE* a;                                                                                                \
      BlasIndex m, n, lda, ldb;                                                                                        \
                                                                                                                       \
      /* Set m, n */                                                                                                   \
      m = convert_index<BlasIndex>(rows);                                                                              \
      n = convert_index<BlasIndex>(diagSize);                                                                          \
                                                                                                                       \
      /* Set trans */                                                                                                  \
      transa = (RhsStorageOrder == RowMajor) ? ((ConjugateRhs) ? 'C' : 'T') : 'N';                                     \
                                                                                                                       \
      /* Set b, ldb */                                                                                                 \
      Map<const MatrixLhs, 0, OuterStride<> > lhs(_lhs, rows, depth, OuterStride<>(lhsStride));                        \
      MatrixX##EIGPREFIX b_tmp;                                                                                        \
                                                                                                                       \
      if (ConjugateLhs)                                                                                                \
        b_tmp = lhs.conjugate();                                                                                       \
      else                                                                                                             \
        b_tmp = lhs;                                                                                                   \
      b = b_tmp.data();                                                                                                \
      ldb = convert_index<BlasIndex>(b_tmp.outerStride());                                                             \
                                                                                                                       \
      /* Set uplo */                                                                                                   \
      uplo = IsLower ? 'L' : 'U';                                                                                      \
      if (RhsStorageOrder == RowMajor) uplo = (uplo == 'L') ? 'U' : 'L';                                               \
      /* Set a, lda */                                                                                                 \
      Map<const MatrixRhs, 0, OuterStride<> > rhs(_rhs, depth, cols, OuterStride<>(rhsStride));                        \
      MatrixRhs a_tmp;                                                                                                 \
                                                                                                                       \
      if ((conjA != 0) || (SetDiag == 0)) {                                                                            \
        if (conjA)                                                                                                     \
          a_tmp = rhs.conjugate();                                                                                     \
        else                                                                                                           \
          a_tmp = rhs;                                                                                                 \
        if (IsZeroDiag)                                                                                                \
          a_tmp.diagonal().setZero();                                                                                  \
        else if (IsUnitDiag)                                                                                           \
          a_tmp.diagonal().setOnes();                                                                                  \
        a = a_tmp.data();                                                                                              \
        lda = convert_index<BlasIndex>(a_tmp.outerStride());                                                           \
      } else {                                                                                                         \
        a = _rhs;                                                                                                      \
        lda = convert_index<BlasIndex>(rhsStride);                                                                     \
      }                                                                                                                \
      /*std::cout << "TRMM_R: A is square! Go to BLAS TRMM implementation! \n";*/                                      \
      /* call ?trmm*/                                                                                                  \
      BLASFUNC(&side, &uplo, &transa, &diag, &m, &n, (const BLASTYPE*)&numext::real_ref(alpha), (const BLASTYPE*)a,    \
               &lda, (BLASTYPE*)b, &ldb);                                                                              \
                                                                                                                       \
      /* Add op(a_triangular)*b into res*/                                                                             \
      Map<MatrixX##EIGPREFIX, 0, OuterStride<> > res_tmp(res, rows, cols, OuterStride<>(resStride));                   \
      res_tmp = res_tmp + b_tmp;                                                                                       \
    }                                                                                                                  \
  };

#ifdef EIGEN_USE_MKL
EIGEN_BLAS_TRMM_R(double, double, d, dtrmm)
EIGEN_BLAS_TRMM_R(dcomplex, MKL_Complex16, cd, ztrmm)
EIGEN_BLAS_TRMM_R(float, float, f, strmm)
EIGEN_BLAS_TRMM_R(scomplex, MKL_Complex8, cf, ctrmm)
#else
EIGEN_BLAS_TRMM_R(double, double, d, dtrmm_)
EIGEN_BLAS_TRMM_R(dcomplex, double, cd, ztrmm_)
EIGEN_BLAS_TRMM_R(float, float, f, strmm_)
EIGEN_BLAS_TRMM_R(scomplex, float, cf, ctrmm_)
#endif
}  // end namespace internal

}  // end namespace Eigen

#endif  // EIGEN_TRIANGULAR_MATRIX_MATRIX_BLAS_H