// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2009-2010 Gael Guennebaud <gael.guennebaud@inria.fr>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
// SPDX-License-Identifier: MPL-2.0
#include "common.h"

EIGEN_BLAS_FUNC(gemm)
(const char *opa, const char *opb, const int *m, const int *n, const int *k, const RealScalar *palpha,
 const RealScalar *pa, const int *lda, const RealScalar *pb, const int *ldb, const RealScalar *pbeta, RealScalar *pc,
 const int *ldc) {
  using Eigen::ColMajor;
  using Eigen::DenseIndex;
  using Eigen::Dynamic;
  using Eigen::RowMajor;
  typedef void (*functype)(DenseIndex, DenseIndex, DenseIndex, const Scalar *, DenseIndex, const Scalar *, DenseIndex,
                           Scalar *, DenseIndex, DenseIndex, Scalar, Eigen::internal::level3_blocking<Scalar, Scalar> &,
                           Eigen::internal::GemmParallelInfo<DenseIndex> *);
  static const functype func[12] = {
      // array index: NOTR  | (NOTR << 2)
      (Eigen::internal::general_matrix_matrix_product<DenseIndex, Scalar, ColMajor, false, Scalar, ColMajor, false,
                                                      ColMajor, 1>::run),
      // array index: TR    | (NOTR << 2)
      (Eigen::internal::general_matrix_matrix_product<DenseIndex, Scalar, RowMajor, false, Scalar, ColMajor, false,
                                                      ColMajor, 1>::run),
      // array index: ADJ   | (NOTR << 2)
      (Eigen::internal::general_matrix_matrix_product<DenseIndex, Scalar, RowMajor, Conj, Scalar, ColMajor, false,
                                                      ColMajor, 1>::run),
      0,
      // array index: NOTR  | (TR   << 2)
      (Eigen::internal::general_matrix_matrix_product<DenseIndex, Scalar, ColMajor, false, Scalar, RowMajor, false,
                                                      ColMajor, 1>::run),
      // array index: TR    | (TR   << 2)
      (Eigen::internal::general_matrix_matrix_product<DenseIndex, Scalar, RowMajor, false, Scalar, RowMajor, false,
                                                      ColMajor, 1>::run),
      // array index: ADJ   | (TR   << 2)
      (Eigen::internal::general_matrix_matrix_product<DenseIndex, Scalar, RowMajor, Conj, Scalar, RowMajor, false,
                                                      ColMajor, 1>::run),
      0,
      // array index: NOTR  | (ADJ  << 2)
      (Eigen::internal::general_matrix_matrix_product<DenseIndex, Scalar, ColMajor, false, Scalar, RowMajor, Conj,
                                                      ColMajor, 1>::run),
      // array index: TR    | (ADJ  << 2)
      (Eigen::internal::general_matrix_matrix_product<DenseIndex, Scalar, RowMajor, false, Scalar, RowMajor, Conj,
                                                      ColMajor, 1>::run),
      // array index: ADJ   | (ADJ  << 2)
      (Eigen::internal::general_matrix_matrix_product<DenseIndex, Scalar, RowMajor, Conj, Scalar, RowMajor, Conj,
                                                      ColMajor, 1>::run),
      0};

  const Scalar *a = reinterpret_cast<const Scalar *>(pa);
  const Scalar *b = reinterpret_cast<const Scalar *>(pb);
  Scalar *c = reinterpret_cast<Scalar *>(pc);
  Scalar alpha = *reinterpret_cast<const Scalar *>(palpha);
  Scalar beta = *reinterpret_cast<const Scalar *>(pbeta);

  int info = 0;
  if (OP(*opa) == INVALID)
    info = 1;
  else if (OP(*opb) == INVALID)
    info = 2;
  else if (*m < 0)
    info = 3;
  else if (*n < 0)
    info = 4;
  else if (*k < 0)
    info = 5;
  else if (*lda < std::max(1, (OP(*opa) == NOTR) ? *m : *k))
    info = 8;
  else if (*ldb < std::max(1, (OP(*opb) == NOTR) ? *k : *n))
    info = 10;
  else if (*ldc < std::max(1, *m))
    info = 13;
  if (info) return xerbla_(SCALAR_SUFFIX_UP "GEMM ", &info, kBlasNameLength);

  if (*m == 0 || *n == 0) return;

  if (beta != Scalar(1)) {
    if (beta == Scalar(0))
      matrix(c, *m, *n, *ldc).setZero();
    else
      matrix(c, *m, *n, *ldc) *= beta;
  }

  if (*k == 0) return;

  Eigen::internal::gemm_blocking_space<ColMajor, Scalar, Scalar, Dynamic, Dynamic, Dynamic> blocking(*m, *n, *k, 1,
                                                                                                     true);

  int code = OP(*opa) | (OP(*opb) << 2);
  func[code](*m, *n, *k, a, *lda, b, *ldb, c, 1, *ldc, alpha, blocking, 0);
}

EIGEN_BLAS_FUNC(gemmtr)
(const char *uplo, const char *opa, const char *opb, const int *n, const int *k, const RealScalar *palpha,
 const RealScalar *pa, const int *lda, const RealScalar *pb, const int *ldb, const RealScalar *pbeta, RealScalar *pc,
 const int *ldc) {
  using Eigen::ColMajor;
  using Eigen::DenseIndex;
  using Eigen::Dynamic;
  using Eigen::Lower;
  using Eigen::RowMajor;
  using Eigen::Upper;
  typedef void (*functype)(DenseIndex, DenseIndex, const Scalar *, DenseIndex, const Scalar *, DenseIndex, Scalar *,
                           DenseIndex, DenseIndex, const Scalar &, Eigen::internal::level3_blocking<Scalar, Scalar> &);
  static const functype func[24] = {
      // Upper-triangular result.
      // array index: NOTR  | (NOTR << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, ColMajor, false, Scalar, ColMajor,
                                                                 false, ColMajor, 1, Upper>::run),
      // array index: TR    | (NOTR << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, RowMajor, false, Scalar, ColMajor,
                                                                 false, ColMajor, 1, Upper>::run),
      // array index: ADJ   | (NOTR << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, RowMajor, Conj, Scalar, ColMajor,
                                                                 false, ColMajor, 1, Upper>::run),
      0,
      // array index: NOTR  | (TR   << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, ColMajor, false, Scalar, RowMajor,
                                                                 false, ColMajor, 1, Upper>::run),
      // array index: TR    | (TR   << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, RowMajor, false, Scalar, RowMajor,
                                                                 false, ColMajor, 1, Upper>::run),
      // array index: ADJ   | (TR   << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, RowMajor, Conj, Scalar, RowMajor,
                                                                 false, ColMajor, 1, Upper>::run),
      0,
      // array index: NOTR  | (ADJ  << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, ColMajor, false, Scalar, RowMajor,
                                                                 Conj, ColMajor, 1, Upper>::run),
      // array index: TR    | (ADJ  << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, RowMajor, false, Scalar, RowMajor,
                                                                 Conj, ColMajor, 1, Upper>::run),
      // array index: ADJ   | (ADJ  << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, RowMajor, Conj, Scalar, RowMajor,
                                                                 Conj, ColMajor, 1, Upper>::run),
      0,

      // Lower-triangular result.
      // array index: NOTR  | (NOTR << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, ColMajor, false, Scalar, ColMajor,
                                                                 false, ColMajor, 1, Lower>::run),
      // array index: TR    | (NOTR << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, RowMajor, false, Scalar, ColMajor,
                                                                 false, ColMajor, 1, Lower>::run),
      // array index: ADJ   | (NOTR << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, RowMajor, Conj, Scalar, ColMajor,
                                                                 false, ColMajor, 1, Lower>::run),
      0,
      // array index: NOTR  | (TR   << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, ColMajor, false, Scalar, RowMajor,
                                                                 false, ColMajor, 1, Lower>::run),
      // array index: TR    | (TR   << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, RowMajor, false, Scalar, RowMajor,
                                                                 false, ColMajor, 1, Lower>::run),
      // array index: ADJ   | (TR   << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, RowMajor, Conj, Scalar, RowMajor,
                                                                 false, ColMajor, 1, Lower>::run),
      0,
      // array index: NOTR  | (ADJ  << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, ColMajor, false, Scalar, RowMajor,
                                                                 Conj, ColMajor, 1, Lower>::run),
      // array index: TR    | (ADJ  << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, RowMajor, false, Scalar, RowMajor,
                                                                 Conj, ColMajor, 1, Lower>::run),
      // array index: ADJ   | (ADJ  << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, RowMajor, Conj, Scalar, RowMajor,
                                                                 Conj, ColMajor, 1, Lower>::run),
      0,
  };

  const Scalar *a = reinterpret_cast<const Scalar *>(pa);
  const Scalar *b = reinterpret_cast<const Scalar *>(pb);
  Scalar *c = reinterpret_cast<Scalar *>(pc);
  Scalar alpha = *reinterpret_cast<const Scalar *>(palpha);
  Scalar beta = *reinterpret_cast<const Scalar *>(pbeta);

  int info = 0;
  if (UPLO(*uplo) == INVALID)
    info = 1;
  else if (OP(*opa) == INVALID)
    info = 2;
  else if (OP(*opb) == INVALID)
    info = 3;
  else if (*n < 0)
    info = 4;
  else if (*k < 0)
    info = 5;
  else if (*lda < std::max(1, (OP(*opa) == NOTR) ? *n : *k))
    info = 8;
  else if (*ldb < std::max(1, (OP(*opb) == NOTR) ? *k : *n))
    info = 10;
  else if (*ldc < std::max(1, *n))
    info = 13;
  if (info) return xerbla_(SCALAR_SUFFIX_UP "GEMMTR", &info, kBlasNameLength + 1);

  if (*n == 0) return;

  const int upper = (UPLO(*uplo) == UP);

  if (beta != Scalar(1)) {
    if (beta == Scalar(0)) {
      if (upper) {
        matrix(c, *n, *n, *ldc).triangularView<Eigen::Upper>().setZero();
      } else {
        matrix(c, *n, *n, *ldc).triangularView<Eigen::Lower>().setZero();
      }
    } else {
      if (upper) {
        matrix(c, *n, *n, *ldc).triangularView<Eigen::Upper>() *= beta;
      } else {
        matrix(c, *n, *n, *ldc).triangularView<Eigen::Lower>() *= beta;
      }
    }
  }

  if (*k == 0) return;

  Eigen::internal::gemm_blocking_space<ColMajor, Scalar, Scalar, Dynamic, Dynamic, Dynamic> blocking(*n, *n, *k, 1,
                                                                                                     false);

  int code = OP(*opa) | ((OP(*opb) << 2) + (UPLO(*uplo) * 12));
  func[code](*n, *k, a, *lda, b, *ldb, c, 1, *ldc, alpha, blocking);
}

EIGEN_BLAS_FUNC(trsm)
(const char *side, const char *uplo, const char *opa, const char *diag, const int *m, const int *n,
 const RealScalar *palpha, const RealScalar *pa, const int *lda, RealScalar *pb, const int *ldb) {
  using Eigen::ColMajor;
  using Eigen::DenseIndex;
  using Eigen::Dynamic;
  using Eigen::Lower;
  using Eigen::OnTheLeft;
  using Eigen::OnTheRight;
  using Eigen::RowMajor;
  using Eigen::UnitDiag;
  using Eigen::Upper;
  typedef void (*functype)(DenseIndex, DenseIndex, const Scalar *, DenseIndex, Scalar *, DenseIndex, DenseIndex,
                           Eigen::internal::level3_blocking<Scalar, Scalar> &);
  static const functype func[32] = {
      // array index: NOTR  | (LEFT  << 2) | (UP << 3) | (NUNIT << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheLeft, Upper | 0, false, ColMajor, ColMajor,
                                                1>::run),
      // array index: TR    | (LEFT  << 2) | (UP << 3) | (NUNIT << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheLeft, Lower | 0, false, RowMajor, ColMajor,
                                                1>::run),
      // array index: ADJ   | (LEFT  << 2) | (UP << 3) | (NUNIT << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheLeft, Lower | 0, Conj, RowMajor, ColMajor,
                                                1>::run),
      0,
      // array index: NOTR  | (RIGHT << 2) | (UP << 3) | (NUNIT << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheRight, Upper | 0, false, ColMajor, ColMajor,
                                                1>::run),
      // array index: TR    | (RIGHT << 2) | (UP << 3) | (NUNIT << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheRight, Lower | 0, false, RowMajor, ColMajor,
                                                1>::run),
      // array index: ADJ   | (RIGHT << 2) | (UP << 3) | (NUNIT << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheRight, Lower | 0, Conj, RowMajor, ColMajor,
                                                1>::run),
      0,
      // array index: NOTR  | (LEFT  << 2) | (LO << 3) | (NUNIT << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheLeft, Lower | 0, false, ColMajor, ColMajor,
                                                1>::run),
      // array index: TR    | (LEFT  << 2) | (LO << 3) | (NUNIT << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheLeft, Upper | 0, false, RowMajor, ColMajor,
                                                1>::run),
      // array index: ADJ   | (LEFT  << 2) | (LO << 3) | (NUNIT << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheLeft, Upper | 0, Conj, RowMajor, ColMajor,
                                                1>::run),
      0,
      // array index: NOTR  | (RIGHT << 2) | (LO << 3) | (NUNIT << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheRight, Lower | 0, false, ColMajor, ColMajor,
                                                1>::run),
      // array index: TR    | (RIGHT << 2) | (LO << 3) | (NUNIT << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheRight, Upper | 0, false, RowMajor, ColMajor,
                                                1>::run),
      // array index: ADJ   | (RIGHT << 2) | (LO << 3) | (NUNIT << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheRight, Upper | 0, Conj, RowMajor, ColMajor,
                                                1>::run),
      0,
      // array index: NOTR  | (LEFT  << 2) | (UP << 3) | (UNIT  << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheLeft, Upper | UnitDiag, false, ColMajor,
                                                ColMajor, 1>::run),
      // array index: TR    | (LEFT  << 2) | (UP << 3) | (UNIT  << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheLeft, Lower | UnitDiag, false, RowMajor,
                                                ColMajor, 1>::run),
      // array index: ADJ   | (LEFT  << 2) | (UP << 3) | (UNIT  << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheLeft, Lower | UnitDiag, Conj, RowMajor,
                                                ColMajor, 1>::run),
      0,
      // array index: NOTR  | (RIGHT << 2) | (UP << 3) | (UNIT  << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheRight, Upper | UnitDiag, false, ColMajor,
                                                ColMajor, 1>::run),
      // array index: TR    | (RIGHT << 2) | (UP << 3) | (UNIT  << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheRight, Lower | UnitDiag, false, RowMajor,
                                                ColMajor, 1>::run),
      // array index: ADJ   | (RIGHT << 2) | (UP << 3) | (UNIT  << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheRight, Lower | UnitDiag, Conj, RowMajor,
                                                ColMajor, 1>::run),
      0,
      // array index: NOTR  | (LEFT  << 2) | (LO << 3) | (UNIT  << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheLeft, Lower | UnitDiag, false, ColMajor,
                                                ColMajor, 1>::run),
      // array index: TR    | (LEFT  << 2) | (LO << 3) | (UNIT  << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheLeft, Upper | UnitDiag, false, RowMajor,
                                                ColMajor, 1>::run),
      // array index: ADJ   | (LEFT  << 2) | (LO << 3) | (UNIT  << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheLeft, Upper | UnitDiag, Conj, RowMajor,
                                                ColMajor, 1>::run),
      0,
      // array index: NOTR  | (RIGHT << 2) | (LO << 3) | (UNIT  << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheRight, Lower | UnitDiag, false, ColMajor,
                                                ColMajor, 1>::run),
      // array index: TR    | (RIGHT << 2) | (LO << 3) | (UNIT  << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheRight, Upper | UnitDiag, false, RowMajor,
                                                ColMajor, 1>::run),
      // array index: ADJ   | (RIGHT << 2) | (LO << 3) | (UNIT  << 4)
      (Eigen::internal::triangular_solve_matrix<Scalar, DenseIndex, OnTheRight, Upper | UnitDiag, Conj, RowMajor,
                                                ColMajor, 1>::run),
      0};

  const Scalar *a = reinterpret_cast<const Scalar *>(pa);
  Scalar *b = reinterpret_cast<Scalar *>(pb);
  Scalar alpha = *reinterpret_cast<const Scalar *>(palpha);

  int info = 0;
  if (SIDE(*side) == INVALID)
    info = 1;
  else if (UPLO(*uplo) == INVALID)
    info = 2;
  else if (OP(*opa) == INVALID)
    info = 3;
  else if (DIAG(*diag) == INVALID)
    info = 4;
  else if (*m < 0)
    info = 5;
  else if (*n < 0)
    info = 6;
  else if (*lda < std::max(1, (SIDE(*side) == LEFT) ? *m : *n))
    info = 9;
  else if (*ldb < std::max(1, *m))
    info = 11;
  if (info) return xerbla_(SCALAR_SUFFIX_UP "TRSM ", &info, kBlasNameLength);

  if (*m == 0 || *n == 0) return;

  int code = OP(*opa) | (SIDE(*side) << 2) | (UPLO(*uplo) << 3) | (DIAG(*diag) << 4);

  if (SIDE(*side) == LEFT) {
    Eigen::internal::gemm_blocking_space<ColMajor, Scalar, Scalar, Dynamic, Dynamic, Dynamic, 4> blocking(*m, *n, *m, 1,
                                                                                                          false);
    func[code](*m, *n, a, *lda, b, 1, *ldb, blocking);
  } else {
    Eigen::internal::gemm_blocking_space<ColMajor, Scalar, Scalar, Dynamic, Dynamic, Dynamic, 4> blocking(*m, *n, *n, 1,
                                                                                                          false);
    func[code](*n, *m, a, *lda, b, 1, *ldb, blocking);
  }

  if (alpha != Scalar(1)) matrix(b, *m, *n, *ldb) *= alpha;
}

// b = alpha*op(a)*b  for side = 'L'or'l'
// b = alpha*b*op(a)  for side = 'R'or'r'
EIGEN_BLAS_FUNC(trmm)
(const char *side, const char *uplo, const char *opa, const char *diag, const int *m, const int *n,
 const RealScalar *palpha, const RealScalar *pa, const int *lda, RealScalar *pb, const int *ldb) {
  using Eigen::ColMajor;
  using Eigen::DenseIndex;
  using Eigen::Dynamic;
  using Eigen::Lower;
  using Eigen::RowMajor;
  using Eigen::UnitDiag;
  using Eigen::Upper;
  typedef void (*functype)(DenseIndex, DenseIndex, DenseIndex, const Scalar *, DenseIndex, const Scalar *, DenseIndex,
                           Scalar *, DenseIndex, DenseIndex, const Scalar &,
                           Eigen::internal::level3_blocking<Scalar, Scalar> &);
  static const functype func[32] = {
      // array index: NOTR  | (LEFT  << 2) | (UP << 3) | (NUNIT << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Upper | 0, true, ColMajor, false, ColMajor,
                                                         false, ColMajor, 1>::run),
      // array index: TR    | (LEFT  << 2) | (UP << 3) | (NUNIT << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Lower | 0, true, RowMajor, false, ColMajor,
                                                         false, ColMajor, 1>::run),
      // array index: ADJ   | (LEFT  << 2) | (UP << 3) | (NUNIT << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Lower | 0, true, RowMajor, Conj, ColMajor,
                                                         false, ColMajor, 1>::run),
      0,
      // array index: NOTR  | (RIGHT << 2) | (UP << 3) | (NUNIT << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Upper | 0, false, ColMajor, false,
                                                         ColMajor, false, ColMajor, 1>::run),
      // array index: TR    | (RIGHT << 2) | (UP << 3) | (NUNIT << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Lower | 0, false, ColMajor, false,
                                                         RowMajor, false, ColMajor, 1>::run),
      // array index: ADJ   | (RIGHT << 2) | (UP << 3) | (NUNIT << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Lower | 0, false, ColMajor, false,
                                                         RowMajor, Conj, ColMajor, 1>::run),
      0,
      // array index: NOTR  | (LEFT  << 2) | (LO << 3) | (NUNIT << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Lower | 0, true, ColMajor, false, ColMajor,
                                                         false, ColMajor, 1>::run),
      // array index: TR    | (LEFT  << 2) | (LO << 3) | (NUNIT << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Upper | 0, true, RowMajor, false, ColMajor,
                                                         false, ColMajor, 1>::run),
      // array index: ADJ   | (LEFT  << 2) | (LO << 3) | (NUNIT << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Upper | 0, true, RowMajor, Conj, ColMajor,
                                                         false, ColMajor, 1>::run),
      0,
      // array index: NOTR  | (RIGHT << 2) | (LO << 3) | (NUNIT << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Lower | 0, false, ColMajor, false,
                                                         ColMajor, false, ColMajor, 1>::run),
      // array index: TR    | (RIGHT << 2) | (LO << 3) | (NUNIT << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Upper | 0, false, ColMajor, false,
                                                         RowMajor, false, ColMajor, 1>::run),
      // array index: ADJ   | (RIGHT << 2) | (LO << 3) | (NUNIT << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Upper | 0, false, ColMajor, false,
                                                         RowMajor, Conj, ColMajor, 1>::run),
      0,
      // array index: NOTR  | (LEFT  << 2) | (UP << 3) | (UNIT  << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Upper | UnitDiag, true, ColMajor, false,
                                                         ColMajor, false, ColMajor, 1>::run),
      // array index: TR    | (LEFT  << 2) | (UP << 3) | (UNIT  << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Lower | UnitDiag, true, RowMajor, false,
                                                         ColMajor, false, ColMajor, 1>::run),
      // array index: ADJ   | (LEFT  << 2) | (UP << 3) | (UNIT  << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Lower | UnitDiag, true, RowMajor, Conj,
                                                         ColMajor, false, ColMajor, 1>::run),
      0,
      // array index: NOTR  | (RIGHT << 2) | (UP << 3) | (UNIT  << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Upper | UnitDiag, false, ColMajor, false,
                                                         ColMajor, false, ColMajor, 1>::run),
      // array index: TR    | (RIGHT << 2) | (UP << 3) | (UNIT  << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Lower | UnitDiag, false, ColMajor, false,
                                                         RowMajor, false, ColMajor, 1>::run),
      // array index: ADJ   | (RIGHT << 2) | (UP << 3) | (UNIT  << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Lower | UnitDiag, false, ColMajor, false,
                                                         RowMajor, Conj, ColMajor, 1>::run),
      0,
      // array index: NOTR  | (LEFT  << 2) | (LO << 3) | (UNIT  << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Lower | UnitDiag, true, ColMajor, false,
                                                         ColMajor, false, ColMajor, 1>::run),
      // array index: TR    | (LEFT  << 2) | (LO << 3) | (UNIT  << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Upper | UnitDiag, true, RowMajor, false,
                                                         ColMajor, false, ColMajor, 1>::run),
      // array index: ADJ   | (LEFT  << 2) | (LO << 3) | (UNIT  << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Upper | UnitDiag, true, RowMajor, Conj,
                                                         ColMajor, false, ColMajor, 1>::run),
      0,
      // array index: NOTR  | (RIGHT << 2) | (LO << 3) | (UNIT  << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Lower | UnitDiag, false, ColMajor, false,
                                                         ColMajor, false, ColMajor, 1>::run),
      // array index: TR    | (RIGHT << 2) | (LO << 3) | (UNIT  << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Upper | UnitDiag, false, ColMajor, false,
                                                         RowMajor, false, ColMajor, 1>::run),
      // array index: ADJ   | (RIGHT << 2) | (LO << 3) | (UNIT  << 4)
      (Eigen::internal::product_triangular_matrix_matrix<Scalar, DenseIndex, Upper | UnitDiag, false, ColMajor, false,
                                                         RowMajor, Conj, ColMajor, 1>::run),
      0};

  const Scalar *a = reinterpret_cast<const Scalar *>(pa);
  Scalar *b = reinterpret_cast<Scalar *>(pb);
  Scalar alpha = *reinterpret_cast<const Scalar *>(palpha);

  int info = 0;
  if (SIDE(*side) == INVALID)
    info = 1;
  else if (UPLO(*uplo) == INVALID)
    info = 2;
  else if (OP(*opa) == INVALID)
    info = 3;
  else if (DIAG(*diag) == INVALID)
    info = 4;
  else if (*m < 0)
    info = 5;
  else if (*n < 0)
    info = 6;
  else if (*lda < std::max(1, (SIDE(*side) == LEFT) ? *m : *n))
    info = 9;
  else if (*ldb < std::max(1, *m))
    info = 11;
  if (info) return xerbla_(SCALAR_SUFFIX_UP "TRMM ", &info, kBlasNameLength);

  int code = OP(*opa) | (SIDE(*side) << 2) | (UPLO(*uplo) << 3) | (DIAG(*diag) << 4);

  if (*m == 0 || *n == 0) return;

  // FIXME: find a way to avoid this copy
  Eigen::Matrix<Scalar, Dynamic, Dynamic, ColMajor> tmp = matrix(b, *m, *n, *ldb);
  matrix(b, *m, *n, *ldb).setZero();

  if (SIDE(*side) == LEFT) {
    Eigen::internal::gemm_blocking_space<ColMajor, Scalar, Scalar, Dynamic, Dynamic, Dynamic, 4> blocking(*m, *n, *m, 1,
                                                                                                          false);
    func[code](*m, *n, *m, a, *lda, tmp.data(), tmp.outerStride(), b, 1, *ldb, alpha, blocking);
  } else {
    Eigen::internal::gemm_blocking_space<ColMajor, Scalar, Scalar, Dynamic, Dynamic, Dynamic, 4> blocking(*m, *n, *n, 1,
                                                                                                          false);
    func[code](*m, *n, *n, tmp.data(), tmp.outerStride(), a, *lda, b, 1, *ldb, alpha, blocking);
  }
}

// c = alpha*a*b + beta*c  for side = 'L'or'l'
// c = alpha*b*a + beta*c  for side = 'R'or'r
EIGEN_BLAS_FUNC(symm)
(const char *side, const char *uplo, const int *m, const int *n, const RealScalar *palpha, const RealScalar *pa,
 const int *lda, const RealScalar *pb, const int *ldb, const RealScalar *pbeta, RealScalar *pc, const int *ldc) {
  const Scalar *a = reinterpret_cast<const Scalar *>(pa);
  const Scalar *b = reinterpret_cast<const Scalar *>(pb);
  Scalar *c = reinterpret_cast<Scalar *>(pc);
  Scalar alpha = *reinterpret_cast<const Scalar *>(palpha);
  Scalar beta = *reinterpret_cast<const Scalar *>(pbeta);

  int info = 0;
  if (SIDE(*side) == INVALID)
    info = 1;
  else if (UPLO(*uplo) == INVALID)
    info = 2;
  else if (*m < 0)
    info = 3;
  else if (*n < 0)
    info = 4;
  else if (*lda < std::max(1, (SIDE(*side) == LEFT) ? *m : *n))
    info = 7;
  else if (*ldb < std::max(1, *m))
    info = 9;
  else if (*ldc < std::max(1, *m))
    info = 12;
  if (info) return xerbla_(SCALAR_SUFFIX_UP "SYMM ", &info, kBlasNameLength);

  if (beta != Scalar(1)) {
    if (beta == Scalar(0))
      matrix(c, *m, *n, *ldc).setZero();
    else
      matrix(c, *m, *n, *ldc) *= beta;
  }

  if (*m == 0 || *n == 0) return;

  int size = (SIDE(*side) == LEFT) ? (*m) : (*n);
  using Eigen::ColMajor;
  using Eigen::DenseIndex;
  using Eigen::Dynamic;
  using Eigen::Lower;
  using Eigen::RowMajor;
  using Eigen::Upper;
#if ISCOMPLEX
  // FIXME add support for symmetric complex matrix
  Eigen::Matrix<Scalar, Dynamic, Dynamic, ColMajor> matA(size, size);
  if (UPLO(*uplo) == UP) {
    matA.triangularView<Upper>() = matrix(a, size, size, *lda);
    matA.triangularView<Lower>() = matrix(a, size, size, *lda).transpose();
  } else if (UPLO(*uplo) == LO) {
    matA.triangularView<Lower>() = matrix(a, size, size, *lda);
    matA.triangularView<Upper>() = matrix(a, size, size, *lda).transpose();
  }
  if (SIDE(*side) == LEFT)
    matrix(c, *m, *n, *ldc) += alpha * matA * matrix(b, *m, *n, *ldb);
  else if (SIDE(*side) == RIGHT)
    matrix(c, *m, *n, *ldc) += alpha * matrix(b, *m, *n, *ldb) * matA;
#else
  Eigen::internal::gemm_blocking_space<ColMajor, Scalar, Scalar, Dynamic, Dynamic, Dynamic> blocking(*m, *n, size, 1,
                                                                                                     false);

  if (SIDE(*side) == LEFT)
    if (UPLO(*uplo) == UP)
      Eigen::internal::product_selfadjoint_matrix<Scalar, DenseIndex, RowMajor, true, false, ColMajor, false, false,
                                                  ColMajor, 1>::run(*m, *n, a, *lda, b, *ldb, c, 1, *ldc, alpha,
                                                                    blocking);
    else if (UPLO(*uplo) == LO)
      Eigen::internal::product_selfadjoint_matrix<Scalar, DenseIndex, ColMajor, true, false, ColMajor, false, false,
                                                  ColMajor, 1>::run(*m, *n, a, *lda, b, *ldb, c, 1, *ldc, alpha,
                                                                    blocking);
    else
      return;
  else if (SIDE(*side) == RIGHT)
    if (UPLO(*uplo) == UP)
      Eigen::internal::product_selfadjoint_matrix<Scalar, DenseIndex, ColMajor, false, false, RowMajor, true, false,
                                                  ColMajor, 1>::run(*m, *n, b, *ldb, a, *lda, c, 1, *ldc, alpha,
                                                                    blocking);
    else if (UPLO(*uplo) == LO)
      Eigen::internal::product_selfadjoint_matrix<Scalar, DenseIndex, ColMajor, false, false, ColMajor, true, false,
                                                  ColMajor, 1>::run(*m, *n, b, *ldb, a, *lda, c, 1, *ldc, alpha,
                                                                    blocking);
    else
      return;
  else
    return;
#endif
}

// c = alpha*a*a' + beta*c  for op = 'N'or'n'
// c = alpha*a'*a + beta*c  for op = 'T'or't','C'or'c'
EIGEN_BLAS_FUNC(syrk)
(const char *uplo, const char *op, const int *n, const int *k, const RealScalar *palpha, const RealScalar *pa,
 const int *lda, const RealScalar *pbeta, RealScalar *pc, const int *ldc) {
  using Eigen::ColMajor;
  using Eigen::DenseIndex;
  using Eigen::Dynamic;
  using Eigen::Lower;
  using Eigen::RowMajor;
  using Eigen::Upper;
#if !ISCOMPLEX
  typedef void (*functype)(DenseIndex, DenseIndex, const Scalar *, DenseIndex, const Scalar *, DenseIndex, Scalar *,
                           DenseIndex, DenseIndex, const Scalar &, Eigen::internal::level3_blocking<Scalar, Scalar> &);
  static const functype func[8] = {
      // array index: NOTR  | (UP << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, ColMajor, false, Scalar, RowMajor,
                                                                 Conj, ColMajor, 1, Upper>::run),
      // array index: TR    | (UP << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, RowMajor, false, Scalar, ColMajor,
                                                                 Conj, ColMajor, 1, Upper>::run),
      // array index: ADJ   | (UP << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, RowMajor, Conj, Scalar, ColMajor,
                                                                 false, ColMajor, 1, Upper>::run),
      0,
      // array index: NOTR  | (LO << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, ColMajor, false, Scalar, RowMajor,
                                                                 Conj, ColMajor, 1, Lower>::run),
      // array index: TR    | (LO << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, RowMajor, false, Scalar, ColMajor,
                                                                 Conj, ColMajor, 1, Lower>::run),
      // array index: ADJ   | (LO << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, RowMajor, Conj, Scalar, ColMajor,
                                                                 false, ColMajor, 1, Lower>::run),
      0};
#endif

  const Scalar *a = reinterpret_cast<const Scalar *>(pa);
  Scalar *c = reinterpret_cast<Scalar *>(pc);
  Scalar alpha = *reinterpret_cast<const Scalar *>(palpha);
  Scalar beta = *reinterpret_cast<const Scalar *>(pbeta);

  int info = 0;
  if (UPLO(*uplo) == INVALID)
    info = 1;
  else if (OP(*op) == INVALID || (ISCOMPLEX && OP(*op) == ADJ))
    info = 2;
  else if (*n < 0)
    info = 3;
  else if (*k < 0)
    info = 4;
  else if (*lda < std::max(1, (OP(*op) == NOTR) ? *n : *k))
    info = 7;
  else if (*ldc < std::max(1, *n))
    info = 10;
  if (info) return xerbla_(SCALAR_SUFFIX_UP "SYRK ", &info, kBlasNameLength);

  if (beta != Scalar(1)) {
    if (UPLO(*uplo) == UP)
      if (beta == Scalar(0))
        matrix(c, *n, *n, *ldc).triangularView<Upper>().setZero();
      else
        matrix(c, *n, *n, *ldc).triangularView<Upper>() *= beta;
    else if (beta == Scalar(0))
      matrix(c, *n, *n, *ldc).triangularView<Lower>().setZero();
    else
      matrix(c, *n, *n, *ldc).triangularView<Lower>() *= beta;
  }

  if (*n == 0 || *k == 0) return;

#if ISCOMPLEX
  // FIXME add support for symmetric complex matrix
  if (UPLO(*uplo) == UP) {
    if (OP(*op) == NOTR)
      matrix(c, *n, *n, *ldc).triangularView<Upper>() +=
          alpha * matrix(a, *n, *k, *lda) * matrix(a, *n, *k, *lda).transpose();
    else
      matrix(c, *n, *n, *ldc).triangularView<Upper>() +=
          alpha * matrix(a, *k, *n, *lda).transpose() * matrix(a, *k, *n, *lda);
  } else {
    if (OP(*op) == NOTR)
      matrix(c, *n, *n, *ldc).triangularView<Lower>() +=
          alpha * matrix(a, *n, *k, *lda) * matrix(a, *n, *k, *lda).transpose();
    else
      matrix(c, *n, *n, *ldc).triangularView<Lower>() +=
          alpha * matrix(a, *k, *n, *lda).transpose() * matrix(a, *k, *n, *lda);
  }
#else
  Eigen::internal::gemm_blocking_space<ColMajor, Scalar, Scalar, Dynamic, Dynamic, Dynamic> blocking(*n, *n, *k, 1,
                                                                                                     false);

  int code = OP(*op) | (UPLO(*uplo) << 2);
  func[code](*n, *k, a, *lda, a, *lda, c, 1, *ldc, alpha, blocking);
#endif
}

// c = alpha*a*b' + alpha*b*a' + beta*c  for op = 'N'or'n'
// c = alpha*a'*b + alpha*b'*a + beta*c  for op = 'T'or't'
EIGEN_BLAS_FUNC(syr2k)
(const char *uplo, const char *op, const int *n, const int *k, const RealScalar *palpha, const RealScalar *pa,
 const int *lda, const RealScalar *pb, const int *ldb, const RealScalar *pbeta, RealScalar *pc, const int *ldc) {
  const Scalar *a = reinterpret_cast<const Scalar *>(pa);
  const Scalar *b = reinterpret_cast<const Scalar *>(pb);
  Scalar *c = reinterpret_cast<Scalar *>(pc);
  Scalar alpha = *reinterpret_cast<const Scalar *>(palpha);
  Scalar beta = *reinterpret_cast<const Scalar *>(pbeta);

  int info = 0;
  if (UPLO(*uplo) == INVALID)
    info = 1;
  else if (OP(*op) == INVALID || (ISCOMPLEX && OP(*op) == ADJ))
    info = 2;
  else if (*n < 0)
    info = 3;
  else if (*k < 0)
    info = 4;
  else if (*lda < std::max(1, (OP(*op) == NOTR) ? *n : *k))
    info = 7;
  else if (*ldb < std::max(1, (OP(*op) == NOTR) ? *n : *k))
    info = 9;
  else if (*ldc < std::max(1, *n))
    info = 12;
  if (info) return xerbla_(SCALAR_SUFFIX_UP "SYR2K", &info, kBlasNameLength);

  using Eigen::Lower;
  using Eigen::Upper;
  if (beta != Scalar(1)) {
    if (UPLO(*uplo) == UP)
      if (beta == Scalar(0))
        matrix(c, *n, *n, *ldc).triangularView<Upper>().setZero();
      else
        matrix(c, *n, *n, *ldc).triangularView<Upper>() *= beta;
    else if (beta == Scalar(0))
      matrix(c, *n, *n, *ldc).triangularView<Lower>().setZero();
    else
      matrix(c, *n, *n, *ldc).triangularView<Lower>() *= beta;
  }

  if (*k == 0) return;

  if (OP(*op) == NOTR) {
    if (UPLO(*uplo) == UP) {
      matrix(c, *n, *n, *ldc).triangularView<Upper>() +=
          alpha * matrix(a, *n, *k, *lda) * matrix(b, *n, *k, *ldb).transpose() +
          alpha * matrix(b, *n, *k, *ldb) * matrix(a, *n, *k, *lda).transpose();
    } else if (UPLO(*uplo) == LO)
      matrix(c, *n, *n, *ldc).triangularView<Lower>() +=
          alpha * matrix(a, *n, *k, *lda) * matrix(b, *n, *k, *ldb).transpose() +
          alpha * matrix(b, *n, *k, *ldb) * matrix(a, *n, *k, *lda).transpose();
  } else if (OP(*op) == TR || OP(*op) == ADJ) {
    if (UPLO(*uplo) == UP)
      matrix(c, *n, *n, *ldc).triangularView<Upper>() +=
          alpha * matrix(a, *k, *n, *lda).transpose() * matrix(b, *k, *n, *ldb) +
          alpha * matrix(b, *k, *n, *ldb).transpose() * matrix(a, *k, *n, *lda);
    else if (UPLO(*uplo) == LO)
      matrix(c, *n, *n, *ldc).triangularView<Lower>() +=
          alpha * matrix(a, *k, *n, *lda).transpose() * matrix(b, *k, *n, *ldb) +
          alpha * matrix(b, *k, *n, *ldb).transpose() * matrix(a, *k, *n, *lda);
  }
}

#if ISCOMPLEX

// c = alpha*a*b + beta*c  for side = 'L'or'l'
// c = alpha*b*a + beta*c  for side = 'R'or'r
EIGEN_BLAS_FUNC(hemm)
(const char *side, const char *uplo, const int *m, const int *n, const RealScalar *palpha, const RealScalar *pa,
 const int *lda, const RealScalar *pb, const int *ldb, const RealScalar *pbeta, RealScalar *pc, const int *ldc) {
  const Scalar *a = reinterpret_cast<const Scalar *>(pa);
  const Scalar *b = reinterpret_cast<const Scalar *>(pb);
  Scalar *c = reinterpret_cast<Scalar *>(pc);
  Scalar alpha = *reinterpret_cast<const Scalar *>(palpha);
  Scalar beta = *reinterpret_cast<const Scalar *>(pbeta);

  int info = 0;
  if (SIDE(*side) == INVALID)
    info = 1;
  else if (UPLO(*uplo) == INVALID)
    info = 2;
  else if (*m < 0)
    info = 3;
  else if (*n < 0)
    info = 4;
  else if (*lda < std::max(1, (SIDE(*side) == LEFT) ? *m : *n))
    info = 7;
  else if (*ldb < std::max(1, *m))
    info = 9;
  else if (*ldc < std::max(1, *m))
    info = 12;
  if (info) return xerbla_(SCALAR_SUFFIX_UP "HEMM ", &info, kBlasNameLength);

  if (beta == Scalar(0))
    matrix(c, *m, *n, *ldc).setZero();
  else if (beta != Scalar(1))
    matrix(c, *m, *n, *ldc) *= beta;

  if (*m == 0 || *n == 0) return;

  using Eigen::ColMajor;
  using Eigen::DenseIndex;
  using Eigen::Dynamic;
  using Eigen::RowMajor;
  using Eigen::Upper;

  int size = (SIDE(*side) == LEFT) ? (*m) : (*n);
  Eigen::internal::gemm_blocking_space<ColMajor, Scalar, Scalar, Dynamic, Dynamic, Dynamic> blocking(*m, *n, size, 1,
                                                                                                     false);

  if (SIDE(*side) == LEFT) {
    if (UPLO(*uplo) == UP)
      Eigen::internal::product_selfadjoint_matrix<Scalar, DenseIndex, RowMajor, true, Conj, ColMajor, false, false,
                                                  ColMajor, 1>::run(*m, *n, a, *lda, b, *ldb, c, 1, *ldc, alpha,
                                                                    blocking);
    else if (UPLO(*uplo) == LO)
      Eigen::internal::product_selfadjoint_matrix<Scalar, DenseIndex, ColMajor, true, false, ColMajor, false, false,
                                                  ColMajor, 1>::run(*m, *n, a, *lda, b, *ldb, c, 1, *ldc, alpha,
                                                                    blocking);
    else
      return;
  } else if (SIDE(*side) == RIGHT) {
    if (UPLO(*uplo) == UP)
      matrix(c, *m, *n, *ldc) +=
          alpha * matrix(b, *m, *n, *ldb) *
          matrix(a, *n, *n, *lda)
              .selfadjointView<Upper>(); /*internal::product_selfadjoint_matrix<Scalar,DenseIndex,ColMajor,false,false,
RowMajor,true,Conj,  ColMajor, 1>
::run(*m, *n, b, *ldb, a, *lda, c, 1, *ldc, alpha, blocking);*/
    else if (UPLO(*uplo) == LO)
      Eigen::internal::product_selfadjoint_matrix<Scalar, DenseIndex, ColMajor, false, false, ColMajor, true, false,
                                                  ColMajor, 1>::run(*m, *n, b, *ldb, a, *lda, c, 1, *ldc, alpha,
                                                                    blocking);
    else
      return;
  } else {
    return;
  }
}

// c = alpha*a*conj(a') + beta*c  for op = 'N'or'n'
// c = alpha*conj(a')*a + beta*c  for op  = 'C'or'c'
EIGEN_BLAS_FUNC(herk)
(const char *uplo, const char *op, const int *n, const int *k, const RealScalar *palpha, const RealScalar *pa,
 const int *lda, const RealScalar *pbeta, RealScalar *pc, const int *ldc) {
  using Eigen::ColMajor;
  using Eigen::DenseIndex;
  using Eigen::Dynamic;
  using Eigen::Lower;
  using Eigen::RowMajor;
  using Eigen::StrictlyLower;
  using Eigen::StrictlyUpper;
  using Eigen::Upper;
  typedef void (*functype)(DenseIndex, DenseIndex, const Scalar *, DenseIndex, const Scalar *, DenseIndex, Scalar *,
                           DenseIndex, DenseIndex, const Scalar &, Eigen::internal::level3_blocking<Scalar, Scalar> &);
  static const functype func[8] = {
      // array index: NOTR  | (UP << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, ColMajor, false, Scalar, RowMajor,
                                                                 Conj, ColMajor, 1, Upper>::run),
      0,
      // array index: ADJ   | (UP << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, RowMajor, Conj, Scalar, ColMajor,
                                                                 false, ColMajor, 1, Upper>::run),
      0,
      // array index: NOTR  | (LO << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, ColMajor, false, Scalar, RowMajor,
                                                                 Conj, ColMajor, 1, Lower>::run),
      0,
      // array index: ADJ   | (LO << 2)
      (Eigen::internal::general_matrix_matrix_triangular_product<DenseIndex, Scalar, RowMajor, Conj, Scalar, ColMajor,
                                                                 false, ColMajor, 1, Lower>::run),
      0};

  const Scalar *a = reinterpret_cast<const Scalar *>(pa);
  Scalar *c = reinterpret_cast<Scalar *>(pc);
  RealScalar alpha = *palpha;
  RealScalar beta = *pbeta;

  int info = 0;
  if (UPLO(*uplo) == INVALID)
    info = 1;
  else if ((OP(*op) == INVALID) || (OP(*op) == TR))
    info = 2;
  else if (*n < 0)
    info = 3;
  else if (*k < 0)
    info = 4;
  else if (*lda < std::max(1, (OP(*op) == NOTR) ? *n : *k))
    info = 7;
  else if (*ldc < std::max(1, *n))
    info = 10;
  if (info) return xerbla_(SCALAR_SUFFIX_UP "HERK ", &info, kBlasNameLength);

  int code = OP(*op) | (UPLO(*uplo) << 2);

  if (beta != RealScalar(1)) {
    if (UPLO(*uplo) == UP)
      if (beta == Scalar(0))
        matrix(c, *n, *n, *ldc).triangularView<Upper>().setZero();
      else
        matrix(c, *n, *n, *ldc).triangularView<StrictlyUpper>() *= beta;
    else if (beta == Scalar(0))
      matrix(c, *n, *n, *ldc).triangularView<Lower>().setZero();
    else
      matrix(c, *n, *n, *ldc).triangularView<StrictlyLower>() *= beta;

    if (beta != Scalar(0)) {
      matrix(c, *n, *n, *ldc).diagonal().real() *= beta;
      matrix(c, *n, *n, *ldc).diagonal().imag().setZero();
    }
  }

  if (*k > 0 && alpha != RealScalar(0)) {
    Eigen::internal::gemm_blocking_space<ColMajor, Scalar, Scalar, Dynamic, Dynamic, Dynamic> blocking(*n, *n, *k, 1,
                                                                                                       false);
    func[code](*n, *k, a, *lda, a, *lda, c, 1, *ldc, alpha, blocking);
    matrix(c, *n, *n, *ldc).diagonal().imag().setZero();
  }
}

// c = alpha*a*conj(b') + conj(alpha)*b*conj(a') + beta*c,  for op = 'N'or'n'
// c = alpha*conj(a')*b + conj(alpha)*conj(b')*a + beta*c,  for op = 'C'or'c'
EIGEN_BLAS_FUNC(her2k)
(const char *uplo, const char *op, const int *n, const int *k, const RealScalar *palpha, const RealScalar *pa,
 const int *lda, const RealScalar *pb, const int *ldb, const RealScalar *pbeta, RealScalar *pc, const int *ldc) {
  const Scalar *a = reinterpret_cast<const Scalar *>(pa);
  const Scalar *b = reinterpret_cast<const Scalar *>(pb);
  Scalar *c = reinterpret_cast<Scalar *>(pc);
  Scalar alpha = *reinterpret_cast<const Scalar *>(palpha);
  RealScalar beta = *pbeta;

  int info = 0;
  if (UPLO(*uplo) == INVALID)
    info = 1;
  else if ((OP(*op) == INVALID) || (OP(*op) == TR))
    info = 2;
  else if (*n < 0)
    info = 3;
  else if (*k < 0)
    info = 4;
  else if (*lda < std::max(1, (OP(*op) == NOTR) ? *n : *k))
    info = 7;
  else if (*ldb < std::max(1, (OP(*op) == NOTR) ? *n : *k))
    info = 9;
  else if (*ldc < std::max(1, *n))
    info = 12;
  if (info) return xerbla_(SCALAR_SUFFIX_UP "HER2K", &info, kBlasNameLength);

  using Eigen::Lower;
  using Eigen::StrictlyLower;
  using Eigen::StrictlyUpper;
  using Eigen::Upper;
  if (beta != RealScalar(1)) {
    if (UPLO(*uplo) == UP)
      if (beta == Scalar(0))
        matrix(c, *n, *n, *ldc).triangularView<Upper>().setZero();
      else
        matrix(c, *n, *n, *ldc).triangularView<StrictlyUpper>() *= beta;
    else if (beta == Scalar(0))
      matrix(c, *n, *n, *ldc).triangularView<Lower>().setZero();
    else
      matrix(c, *n, *n, *ldc).triangularView<StrictlyLower>() *= beta;

    if (beta != Scalar(0)) {
      matrix(c, *n, *n, *ldc).diagonal().real() *= beta;
      matrix(c, *n, *n, *ldc).diagonal().imag().setZero();
    }
  } else if (*k > 0 && alpha != Scalar(0))
    matrix(c, *n, *n, *ldc).diagonal().imag().setZero();

  if (*k == 0) return;

  if (OP(*op) == NOTR) {
    if (UPLO(*uplo) == UP) {
      matrix(c, *n, *n, *ldc).triangularView<Upper>() +=
          alpha * matrix(a, *n, *k, *lda) * matrix(b, *n, *k, *ldb).adjoint() +
          Eigen::numext::conj(alpha) * matrix(b, *n, *k, *ldb) * matrix(a, *n, *k, *lda).adjoint();
    } else if (UPLO(*uplo) == LO)
      matrix(c, *n, *n, *ldc).triangularView<Lower>() +=
          alpha * matrix(a, *n, *k, *lda) * matrix(b, *n, *k, *ldb).adjoint() +
          Eigen::numext::conj(alpha) * matrix(b, *n, *k, *ldb) * matrix(a, *n, *k, *lda).adjoint();
  } else if (OP(*op) == ADJ) {
    if (UPLO(*uplo) == UP)
      matrix(c, *n, *n, *ldc).triangularView<Upper>() +=
          alpha * matrix(a, *k, *n, *lda).adjoint() * matrix(b, *k, *n, *ldb) +
          Eigen::numext::conj(alpha) * matrix(b, *k, *n, *ldb).adjoint() * matrix(a, *k, *n, *lda);
    else if (UPLO(*uplo) == LO)
      matrix(c, *n, *n, *ldc).triangularView<Lower>() +=
          alpha * matrix(a, *k, *n, *lda).adjoint() * matrix(b, *k, *n, *ldb) +
          Eigen::numext::conj(alpha) * matrix(b, *k, *n, *ldb).adjoint() * matrix(a, *k, *n, *lda);
  }
}

#endif