TriangularSolverMatrix_MKL.h

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 ********************************************************************************
 *   Content : Eigen bindings to Intel(R) MKL
 *   Triangular matrix * matrix product functionality based on ?TRMM.
 ********************************************************************************
*/

#ifndef EIGEN_TRIANGULAR_SOLVER_MATRIX_MKL_H
#define EIGEN_TRIANGULAR_SOLVER_MATRIX_MKL_H

namespace Eigen {

namespace internal {

// implements LeftSide op(triangular)^-1 * general
#define EIGEN_MKL_TRSM_L(EIGTYPE, MKLTYPE, MKLPREFIX) \
template <typename Index, int Mode, bool Conjugate, int TriStorageOrder> \
struct triangular_solve_matrix<EIGTYPE,Index,OnTheLeft,Mode,Conjugate,TriStorageOrder,ColMajor> \
{ \
  enum { \
    IsLower = (Mode&Lower) == Lower, \
    IsUnitDiag  = (Mode&UnitDiag) ? 1 : 0, \
    IsZeroDiag  = (Mode&ZeroDiag) ? 1 : 0, \
    conjA = ((TriStorageOrder==ColMajor) && Conjugate) ? 1 : 0 \
  }; \
  static void run( \
      Index size, Index otherSize, \
      const EIGTYPE* _tri, Index triStride, \
      EIGTYPE* _other, Index otherStride, level3_blocking<EIGTYPE,EIGTYPE>& /*blocking*/) \
  { \
   MKL_INT m = size, n = otherSize, lda, ldb; \
   char side = 'L', uplo, diag='N', transa; \
   /* Set alpha_ */ \
   MKLTYPE alpha; \
   EIGTYPE myone(1); \
   assign_scalar_eig2mkl(alpha, myone); \
   ldb = otherStride;\
\
   const EIGTYPE *a; \
/* Set trans */ \
   transa = (TriStorageOrder==RowMajor) ? ((Conjugate) ? 'C' : 'T') : 'N'; \
/* Set uplo */ \
   uplo = IsLower ? 'L' : 'U'; \
   if (TriStorageOrder==RowMajor) uplo = (uplo == 'L') ? 'U' : 'L'; \
/* Set a, lda */ \
   typedef Matrix<EIGTYPE, Dynamic, Dynamic, TriStorageOrder> MatrixTri; \
   Map<const MatrixTri, 0, OuterStride<> > tri(_tri,size,size,OuterStride<>(triStride)); \
   MatrixTri a_tmp; \
\
   if (conjA) { \
     a_tmp = tri.conjugate(); \
     a = a_tmp.data(); \
     lda = a_tmp.outerStride(); \
   } else { \
     a = _tri; \
     lda = triStride; \
   } \
   if (IsUnitDiag) diag='U'; \
/* call ?trsm*/ \
   MKLPREFIX##trsm(&side, &uplo, &transa, &diag, &m, &n, &alpha, (const MKLTYPE*)a, &lda, (MKLTYPE*)_other, &ldb); \
 } \
};

EIGEN_MKL_TRSM_L(double, double, d)
EIGEN_MKL_TRSM_L(dcomplex, MKL_Complex16, z)
EIGEN_MKL_TRSM_L(float, float, s)
EIGEN_MKL_TRSM_L(scomplex, MKL_Complex8, c)


// implements RightSide general * op(triangular)^-1
#define EIGEN_MKL_TRSM_R(EIGTYPE, MKLTYPE, MKLPREFIX) \
template <typename Index, int Mode, bool Conjugate, int TriStorageOrder> \
struct triangular_solve_matrix<EIGTYPE,Index,OnTheRight,Mode,Conjugate,TriStorageOrder,ColMajor> \
{ \
  enum { \
    IsLower = (Mode&Lower) == Lower, \
    IsUnitDiag  = (Mode&UnitDiag) ? 1 : 0, \
    IsZeroDiag  = (Mode&ZeroDiag) ? 1 : 0, \
    conjA = ((TriStorageOrder==ColMajor) && Conjugate) ? 1 : 0 \
  }; \
  static void run( \
      Index size, Index otherSize, \
      const EIGTYPE* _tri, Index triStride, \
      EIGTYPE* _other, Index otherStride, level3_blocking<EIGTYPE,EIGTYPE>& /*blocking*/) \
  { \
   MKL_INT m = otherSize, n = size, lda, ldb; \
   char side = 'R', uplo, diag='N', transa; \
   /* Set alpha_ */ \
   MKLTYPE alpha; \
   EIGTYPE myone(1); \
   assign_scalar_eig2mkl(alpha, myone); \
   ldb = otherStride;\
\
   const EIGTYPE *a; \
/* Set trans */ \
   transa = (TriStorageOrder==RowMajor) ? ((Conjugate) ? 'C' : 'T') : 'N'; \
/* Set uplo */ \
   uplo = IsLower ? 'L' : 'U'; \
   if (TriStorageOrder==RowMajor) uplo = (uplo == 'L') ? 'U' : 'L'; \
/* Set a, lda */ \
   typedef Matrix<EIGTYPE, Dynamic, Dynamic, TriStorageOrder> MatrixTri; \
   Map<const MatrixTri, 0, OuterStride<> > tri(_tri,size,size,OuterStride<>(triStride)); \
   MatrixTri a_tmp; \
\
   if (conjA) { \
     a_tmp = tri.conjugate(); \
     a = a_tmp.data(); \
     lda = a_tmp.outerStride(); \
   } else { \
     a = _tri; \
     lda = triStride; \
   } \
   if (IsUnitDiag) diag='U'; \
/* call ?trsm*/ \
   MKLPREFIX##trsm(&side, &uplo, &transa, &diag, &m, &n, &alpha, (const MKLTYPE*)a, &lda, (MKLTYPE*)_other, &ldb); \
   /*std::cout << "TRMS_L specialization!\n";*/ \
 } \
};

EIGEN_MKL_TRSM_R(double, double, d)
EIGEN_MKL_TRSM_R(dcomplex, MKL_Complex16, z)
EIGEN_MKL_TRSM_R(float, float, s)
EIGEN_MKL_TRSM_R(scomplex, MKL_Complex8, c)


} // end namespace internal

} // end namespace Eigen

#endif // EIGEN_TRIANGULAR_SOLVER_MATRIX_MKL_H