TriangularSolverMatrix_BLAS.h

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 ********************************************************************************
 *   Content : Eigen bindings to BLAS F77
 *   Triangular matrix * matrix product functionality based on ?TRMM.
 ********************************************************************************
*/

#ifndef EIGEN_TRIANGULAR_SOLVER_MATRIX_BLAS_H
#define EIGEN_TRIANGULAR_SOLVER_MATRIX_BLAS_H

namespace Eigen {

namespace internal {

// implements LeftSide op(triangular)^-1 * general
#define EIGEN_BLAS_TRSM_L(EIGTYPE, BLASTYPE, BLASFUNC) \
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*/) \
  { \
   BlasIndex m = convert_index<BlasIndex>(size), n = convert_index<BlasIndex>(otherSize), lda, ldb; \
   char side = 'L', uplo, diag='N', transa; \
   /* Set alpha_ */ \
   EIGTYPE alpha(1); \
   ldb = convert_index<BlasIndex>(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 = convert_index<BlasIndex>(a_tmp.outerStride()); \
   } else { \
     a = _tri; \
     lda = convert_index<BlasIndex>(triStride); \
   } \
   if (IsUnitDiag) diag='U'; \
/* call ?trsm*/ \
   BLASFUNC(&side, &uplo, &transa, &diag, &m, &n, (const BLASTYPE*)&numext::real_ref(alpha), (const BLASTYPE*)a, &lda, (BLASTYPE*)_other, &ldb); \
 } \
};

#ifdef EIGEN_USE_MKL
EIGEN_BLAS_TRSM_L(double,   double, dtrsm)
EIGEN_BLAS_TRSM_L(dcomplex, MKL_Complex16, ztrsm)
EIGEN_BLAS_TRSM_L(float,    float,  strsm)
EIGEN_BLAS_TRSM_L(scomplex, MKL_Complex8, ctrsm)
#else
EIGEN_BLAS_TRSM_L(double,   double, dtrsm_)
EIGEN_BLAS_TRSM_L(dcomplex, double, ztrsm_)
EIGEN_BLAS_TRSM_L(float,    float,  strsm_)
EIGEN_BLAS_TRSM_L(scomplex, float,  ctrsm_)
#endif

// implements RightSide general * op(triangular)^-1
#define EIGEN_BLAS_TRSM_R(EIGTYPE, BLASTYPE, BLASFUNC) \
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*/) \
  { \
   BlasIndex m = convert_index<BlasIndex>(otherSize), n = convert_index<BlasIndex>(size), lda, ldb; \
   char side = 'R', uplo, diag='N', transa; \
   /* Set alpha_ */ \
   EIGTYPE alpha(1); \
   ldb = convert_index<BlasIndex>(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 = convert_index<BlasIndex>(a_tmp.outerStride()); \
   } else { \
     a = _tri; \
     lda = convert_index<BlasIndex>(triStride); \
   } \
   if (IsUnitDiag) diag='U'; \
/* call ?trsm*/ \
   BLASFUNC(&side, &uplo, &transa, &diag, &m, &n, (const BLASTYPE*)&numext::real_ref(alpha), (const BLASTYPE*)a, &lda, (BLASTYPE*)_other, &ldb); \
   /*std::cout << "TRMS_L specialization!\n";*/ \
 } \
};

#ifdef EIGEN_USE_MKL
EIGEN_BLAS_TRSM_R(double,   double, dtrsm)
EIGEN_BLAS_TRSM_R(dcomplex, MKL_Complex16, ztrsm)
EIGEN_BLAS_TRSM_R(float,    float,  strsm)
EIGEN_BLAS_TRSM_R(scomplex, MKL_Complex8,  ctrsm)
#else
EIGEN_BLAS_TRSM_R(double,   double, dtrsm_)
EIGEN_BLAS_TRSM_R(dcomplex, double, ztrsm_)
EIGEN_BLAS_TRSM_R(float,    float,  strsm_)
EIGEN_BLAS_TRSM_R(scomplex, float,  ctrsm_)
#endif

} // end namespace internal

} // end namespace Eigen

#endif // EIGEN_TRIANGULAR_SOLVER_MATRIX_BLAS_H