GeneralMatrixMatrixTriangular_BLAS.h

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 ********************************************************************************
 *   Content : Eigen bindings to BLAS F77
 *   Level 3 BLAS SYRK/HERK implementation.
 ********************************************************************************
*/

#ifndef EIGEN_GENERAL_MATRIX_MATRIX_TRIANGULAR_BLAS_H
#define EIGEN_GENERAL_MATRIX_MATRIX_TRIANGULAR_BLAS_H

namespace Eigen {

namespace internal {

template <typename Index, typename Scalar, int AStorageOrder, bool ConjugateA, int ResStorageOrder, int  UpLo>
struct general_matrix_matrix_rankupdate :
       general_matrix_matrix_triangular_product<
         Index,Scalar,AStorageOrder,ConjugateA,Scalar,AStorageOrder,ConjugateA,ResStorageOrder,UpLo,BuiltIn> {};


// try to go to BLAS specialization
#define EIGEN_BLAS_RANKUPDATE_SPECIALIZE(Scalar) \
template <typename Index, int LhsStorageOrder, bool ConjugateLhs, \
                          int RhsStorageOrder, bool ConjugateRhs, int  UpLo> \
struct general_matrix_matrix_triangular_product<Index,Scalar,LhsStorageOrder,ConjugateLhs, \
               Scalar,RhsStorageOrder,ConjugateRhs,ColMajor,UpLo,Specialized> { \
  static EIGEN_STRONG_INLINE void run(Index size, Index depth,const Scalar* lhs, Index lhsStride, \
                          const Scalar* rhs, Index rhsStride, Scalar* res, Index resStride, Scalar alpha, level3_blocking<Scalar, Scalar>& blocking) \
  { \
    if ( lhs==rhs && ((UpLo&(Lower|Upper)==UpLo)) ) { \
      general_matrix_matrix_rankupdate<Index,Scalar,LhsStorageOrder,ConjugateLhs,ColMajor,UpLo> \
      ::run(size,depth,lhs,lhsStride,rhs,rhsStride,res,resStride,alpha,blocking); \
    } else { \
      general_matrix_matrix_triangular_product<Index, \
        Scalar, LhsStorageOrder, ConjugateLhs, \
        Scalar, RhsStorageOrder, ConjugateRhs, \
        ColMajor, UpLo, BuiltIn> \
      ::run(size,depth,lhs,lhsStride,rhs,rhsStride,res,resStride,alpha,blocking); \
    } \
  } \
};

EIGEN_BLAS_RANKUPDATE_SPECIALIZE(double)
EIGEN_BLAS_RANKUPDATE_SPECIALIZE(float)
// TODO handle complex cases
// EIGEN_BLAS_RANKUPDATE_SPECIALIZE(dcomplex)
// EIGEN_BLAS_RANKUPDATE_SPECIALIZE(scomplex)

// SYRK for float/double
#define EIGEN_BLAS_RANKUPDATE_R(EIGTYPE, BLASTYPE, BLASFUNC) \
template <typename Index, int AStorageOrder, bool ConjugateA, int  UpLo> \
struct general_matrix_matrix_rankupdate<Index,EIGTYPE,AStorageOrder,ConjugateA,ColMajor,UpLo> { \
  enum { \
    IsLower = (UpLo&Lower) == Lower, \
    LowUp = IsLower ? Lower : Upper, \
    conjA = ((AStorageOrder==ColMajor) && ConjugateA) ? 1 : 0 \
  }; \
  static EIGEN_STRONG_INLINE void run(Index size, Index depth,const EIGTYPE* lhs, Index lhsStride, \
                          const EIGTYPE* /*rhs*/, Index /*rhsStride*/, EIGTYPE* res, Index resStride, EIGTYPE alpha, level3_blocking<EIGTYPE, EIGTYPE>& /*blocking*/) \
  { \
  /* typedef Matrix<EIGTYPE, Dynamic, Dynamic, RhsStorageOrder> MatrixRhs;*/ \
\
   BlasIndex lda=convert_index<BlasIndex>(lhsStride), ldc=convert_index<BlasIndex>(resStride), n=convert_index<BlasIndex>(size), k=convert_index<BlasIndex>(depth); \
   char uplo=((IsLower) ? 'L' : 'U'), trans=((AStorageOrder==RowMajor) ? 'T':'N'); \
   EIGTYPE beta(1); \
   BLASFUNC(&uplo, &trans, &n, &k, &numext::real_ref(alpha), lhs, &lda, &numext::real_ref(beta), res, &ldc); \
  } \
};

// HERK for complex data
#define EIGEN_BLAS_RANKUPDATE_C(EIGTYPE, BLASTYPE, RTYPE, BLASFUNC) \
template <typename Index, int AStorageOrder, bool ConjugateA, int  UpLo> \
struct general_matrix_matrix_rankupdate<Index,EIGTYPE,AStorageOrder,ConjugateA,ColMajor,UpLo> { \
  enum { \
    IsLower = (UpLo&Lower) == Lower, \
    LowUp = IsLower ? Lower : Upper, \
    conjA = (((AStorageOrder==ColMajor) && ConjugateA) || ((AStorageOrder==RowMajor) && !ConjugateA)) ? 1 : 0 \
  }; \
  static EIGEN_STRONG_INLINE void run(Index size, Index depth,const EIGTYPE* lhs, Index lhsStride, \
                          const EIGTYPE* /*rhs*/, Index /*rhsStride*/, EIGTYPE* res, Index resStride, EIGTYPE alpha, level3_blocking<EIGTYPE, EIGTYPE>& /*blocking*/) \
  { \
   typedef Matrix<EIGTYPE, Dynamic, Dynamic, AStorageOrder> MatrixType; \
\
   BlasIndex lda=convert_index<BlasIndex>(lhsStride), ldc=convert_index<BlasIndex>(resStride), n=convert_index<BlasIndex>(size), k=convert_index<BlasIndex>(depth); \
   char uplo=((IsLower) ? 'L' : 'U'), trans=((AStorageOrder==RowMajor) ? 'C':'N'); \
   RTYPE alpha_, beta_; \
   const EIGTYPE* a_ptr; \
\
   alpha_ = alpha.real(); \
   beta_ = 1.0; \
/* Copy with conjugation in some cases*/ \
   MatrixType a; \
   if (conjA) { \
     Map<const MatrixType, 0, OuterStride<> > mapA(lhs,n,k,OuterStride<>(lhsStride)); \
     a = mapA.conjugate(); \
     lda = a.outerStride(); \
     a_ptr = a.data(); \
   } else a_ptr=lhs; \
   BLASFUNC(&uplo, &trans, &n, &k, &alpha_, (BLASTYPE*)a_ptr, &lda, &beta_, (BLASTYPE*)res, &ldc); \
  } \
};


EIGEN_BLAS_RANKUPDATE_R(double, double, dsyrk_)
EIGEN_BLAS_RANKUPDATE_R(float,  float,  ssyrk_)

// TODO hanlde complex cases
// EIGEN_BLAS_RANKUPDATE_C(dcomplex, double, double, zherk_)
// EIGEN_BLAS_RANKUPDATE_C(scomplex, float,  float, cherk_)


} // end namespace internal

} // end namespace Eigen

#endif // EIGEN_GENERAL_MATRIX_MATRIX_TRIANGULAR_BLAS_H