gemm.hpp

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// Copyright (C) 2008-2011 NICTA (www.nicta.com.au)
// Copyright (C) 2008-2011 Conrad Sanderson
// 
// This file is part of the Armadillo C++ library.
// It is provided without any warranty of fitness
// for any purpose. You can redistribute this file
// and/or modify it under the terms of the GNU
// Lesser General Public License (LGPL) as published
// by the Free Software Foundation, either version 3
// of the License or (at your option) any later version.
// (see http://www.opensource.org/licenses for more info)





template<const bool do_trans_A=false, const bool use_alpha=false, const bool use_beta=false>
class gemm_emul_tinysq
  {
  public:
  
  
  template<typename eT>
  arma_hot
  inline
  static
  void
  apply
    (
          Mat<eT>& C,
    const Mat<eT>& A,
    const Mat<eT>& B,
    const eT alpha = eT(1),
    const eT beta  = eT(0)
    )
    {
    arma_extra_debug_sigprint();
    
    switch(A.n_rows)
      {
      case 4:
        gemv_emul_tinysq<do_trans_A, use_alpha, use_beta>::apply( C.colptr(3), A, B.colptr(3), alpha, beta );
        
      case 3:
        gemv_emul_tinysq<do_trans_A, use_alpha, use_beta>::apply( C.colptr(2), A, B.colptr(2), alpha, beta );
        
      case 2:
        gemv_emul_tinysq<do_trans_A, use_alpha, use_beta>::apply( C.colptr(1), A, B.colptr(1), alpha, beta );
        
      case 1:
        gemv_emul_tinysq<do_trans_A, use_alpha, use_beta>::apply( C.colptr(0), A, B.colptr(0), alpha, beta );
        
      default:
        ;
      }
    }
  
  };



template<const bool do_trans_A=false, const bool do_trans_B=false, const bool use_alpha=false, const bool use_beta=false>
class gemm_emul_large
  {
  public:
  
  template<typename eT>
  arma_hot
  inline
  static
  void
  apply
    (
          Mat<eT>& C,
    const Mat<eT>& A,
    const Mat<eT>& B,
    const eT alpha = eT(1),
    const eT beta  = eT(0)
    )
    {
    arma_extra_debug_sigprint();

    const uword A_n_rows = A.n_rows;
    const uword A_n_cols = A.n_cols;
    
    const uword B_n_rows = B.n_rows;
    const uword B_n_cols = B.n_cols;
    
    if( (do_trans_A == false) && (do_trans_B == false) )
      {
      arma_aligned podarray<eT> tmp(A_n_cols);
      eT* A_rowdata = tmp.memptr();
      
      for(uword row_A=0; row_A < A_n_rows; ++row_A)
        {
        tmp.copy_row(A, row_A);
        
        for(uword col_B=0; col_B < B_n_cols; ++col_B)
          {
          const eT acc = op_dot::direct_dot_arma(B_n_rows, A_rowdata, B.colptr(col_B));
          
          if( (use_alpha == false) && (use_beta == false) )
            {
            C.at(row_A,col_B) = acc;
            }
          else
          if( (use_alpha == true) && (use_beta == false) )
            {
            C.at(row_A,col_B) = alpha * acc;
            }
          else
          if( (use_alpha == false) && (use_beta == true) )
            {
            C.at(row_A,col_B) = acc + beta*C.at(row_A,col_B);
            }
          else
          if( (use_alpha == true) && (use_beta == true) )
            {
            C.at(row_A,col_B) = alpha*acc + beta*C.at(row_A,col_B);
            }
          
          }
        }
      }
    else
    if( (do_trans_A == true) && (do_trans_B == false) )
      {
      for(uword col_A=0; col_A < A_n_cols; ++col_A)
        {
        // col_A is interpreted as row_A when storing the results in matrix C
        
        const eT* A_coldata = A.colptr(col_A);
        
        for(uword col_B=0; col_B < B_n_cols; ++col_B)
          {
          const eT acc = op_dot::direct_dot_arma(B_n_rows, A_coldata, B.colptr(col_B));
          
          if( (use_alpha == false) && (use_beta == false) )
            {
            C.at(col_A,col_B) = acc;
            }
          else
          if( (use_alpha == true) && (use_beta == false) )
            {
            C.at(col_A,col_B) = alpha * acc;
            }
          else
          if( (use_alpha == false) && (use_beta == true) )
            {
            C.at(col_A,col_B) = acc + beta*C.at(col_A,col_B);
            }
          else
          if( (use_alpha == true) && (use_beta == true) )
            {
            C.at(col_A,col_B) = alpha*acc + beta*C.at(col_A,col_B);
            }
          
          }
        }
      }
    else
    if( (do_trans_A == false) && (do_trans_B == true) )
      {
      Mat<eT> BB;
      op_strans::apply_noalias(BB, B);
      
      gemm_emul_large<false, false, use_alpha, use_beta>::apply(C, A, BB, alpha, beta);
      }
    else
    if( (do_trans_A == true) && (do_trans_B == true) )
      {
      // mat B_tmp = trans(B);
      // dgemm_arma<true, false,  use_alpha, use_beta>::apply(C, A, B_tmp, alpha, beta);
      
      
      // By using the trans(A)*trans(B) = trans(B*A) equivalency,
      // transpose operations are not needed
      
      arma_aligned podarray<eT> tmp(B.n_cols);
      eT* B_rowdata = tmp.memptr();
      
      for(uword row_B=0; row_B < B_n_rows; ++row_B)
        {
        tmp.copy_row(B, row_B);
        
        for(uword col_A=0; col_A < A_n_cols; ++col_A)
          {
          const eT acc = op_dot::direct_dot_arma(A_n_rows, B_rowdata, A.colptr(col_A));
          
          if( (use_alpha == false) && (use_beta == false) )
            {
            C.at(col_A,row_B) = acc;
            }
          else
          if( (use_alpha == true) && (use_beta == false) )
            {
            C.at(col_A,row_B) = alpha * acc;
            }
          else
          if( (use_alpha == false) && (use_beta == true) )
            {
            C.at(col_A,row_B) = acc + beta*C.at(col_A,row_B);
            }
          else
          if( (use_alpha == true) && (use_beta == true) )
            {
            C.at(col_A,row_B) = alpha*acc + beta*C.at(col_A,row_B);
            }
          
          }
        }
      
      }
    }
  
  };
    
  
  
template<const bool do_trans_A=false, const bool do_trans_B=false, const bool use_alpha=false, const bool use_beta=false>
class gemm_emul
  {
  public:
  
  
  template<typename eT>
  arma_hot
  inline
  static
  void
  apply
    (
          Mat<eT>& C,
    const Mat<eT>& A,
    const Mat<eT>& B,
    const eT alpha = eT(1),
    const eT beta  = eT(0),
    const typename arma_not_cx<eT>::result* junk = 0
    )
    {
    arma_extra_debug_sigprint();
    arma_ignore(junk);
    
    const uword A_n_rows = A.n_rows;
    const uword A_n_cols = A.n_cols;
    
    const uword B_n_rows = B.n_rows;
    const uword B_n_cols = B.n_cols;
    
    if( (A_n_rows <= 4) && (A_n_rows == A_n_cols) && (A_n_rows == B_n_rows) && (B_n_rows == B_n_cols) )
      {
      if(do_trans_B == false)
        {
        gemm_emul_tinysq<do_trans_A, use_alpha, use_beta>::apply(C, A, B, alpha, beta);
        }
      else
        {
        Mat<eT> BB(A_n_rows, A_n_rows);
        op_strans::apply_noalias_tinysq(BB, B);
        
        gemm_emul_tinysq<do_trans_A, use_alpha, use_beta>::apply(C, A, BB, alpha, beta);
        }
      }
    else
      {
      gemm_emul_large<do_trans_A, do_trans_B, use_alpha, use_beta>::apply(C, A, B, alpha, beta);
      }
    }
  


  template<typename eT>
  arma_hot
  inline
  static
  void
  apply
    (
          Mat<eT>& C,
    const Mat<eT>& A,
    const Mat<eT>& B,
    const eT alpha = eT(1),
    const eT beta  = eT(0),
    const typename arma_cx_only<eT>::result* junk = 0
    )
    {
    arma_extra_debug_sigprint();
    arma_ignore(junk);
    
    // "better than nothing" handling of hermitian transposes for complex number matrices
    
    Mat<eT> tmp_A;
    Mat<eT> tmp_B;
    
    if(do_trans_A)
      {
      op_htrans::apply_noalias(tmp_A, A);
      }
    
    if(do_trans_B)
      {
      op_htrans::apply_noalias(tmp_B, B);
      }
    
    const Mat<eT>& AA = (do_trans_A == false) ? A : tmp_A;
    const Mat<eT>& BB = (do_trans_B == false) ? B : tmp_B;
    
    const uword A_n_rows = AA.n_rows;
    const uword A_n_cols = AA.n_cols;
    
    const uword B_n_rows = BB.n_rows;
    const uword B_n_cols = BB.n_cols;
    
    if( (A_n_rows <= 4) && (A_n_rows == A_n_cols) && (A_n_rows == B_n_rows) && (B_n_rows == B_n_cols) )
      {
      gemm_emul_tinysq<false, use_alpha, use_beta>::apply(C, AA, BB, alpha, beta);
      }
    else
      {
      gemm_emul_large<false, false, use_alpha, use_beta>::apply(C, AA, BB, alpha, beta);
      }
    }

  };




template<const bool do_trans_A=false, const bool do_trans_B=false, const bool use_alpha=false, const bool use_beta=false>
class gemm
  {
  public:
  
  template<typename eT>
  inline
  static
  void
  apply_blas_type( Mat<eT>& C, const Mat<eT>& A, const Mat<eT>& B, const eT alpha = eT(1), const eT beta = eT(0) )
    {
    arma_extra_debug_sigprint();
    
    if( (A.n_elem <= 48u) && (B.n_elem <= 48u) )
      {
      gemm_emul<do_trans_A, do_trans_B, use_alpha, use_beta>::apply(C,A,B,alpha,beta);
      }
    else
      {
      #if defined(ARMA_USE_ATLAS)
        {
        arma_extra_debug_print("atlas::cblas_gemm()");
        
        atlas::cblas_gemm<eT>
          (
          atlas::CblasColMajor,
          (do_trans_A) ? ( is_complex<eT>::value ? CblasConjTrans : atlas::CblasTrans ) : atlas::CblasNoTrans,
          (do_trans_B) ? ( is_complex<eT>::value ? CblasConjTrans : atlas::CblasTrans ) : atlas::CblasNoTrans,
          C.n_rows,
          C.n_cols,
          (do_trans_A) ? A.n_rows : A.n_cols,
          (use_alpha) ? alpha : eT(1),
          A.mem,
          (do_trans_A) ? A.n_rows : C.n_rows,
          B.mem,
          (do_trans_B) ? C.n_cols : ( (do_trans_A) ? A.n_rows : A.n_cols ),
          (use_beta) ? beta : eT(0),
          C.memptr(),
          C.n_rows
          );
        }
      #elif defined(ARMA_USE_BLAS)
        {
        arma_extra_debug_print("blas::gemm()");
        
        const char trans_A = (do_trans_A) ? ( is_complex<eT>::value ? 'C' : 'T' ) : 'N';
        const char trans_B = (do_trans_B) ? ( is_complex<eT>::value ? 'C' : 'T' ) : 'N';
        
        const blas_int m   = C.n_rows;
        const blas_int n   = C.n_cols;
        const blas_int k   = (do_trans_A) ? A.n_rows : A.n_cols;
        
        const eT local_alpha = (use_alpha) ? alpha : eT(1);
        
        const blas_int lda = (do_trans_A) ? k : m;
        const blas_int ldb = (do_trans_B) ? n : k;
        
        const eT local_beta  = (use_beta) ? beta : eT(0);
        
        arma_extra_debug_print( arma_boost::format("blas::gemm(): trans_A = %c") % trans_A );
        arma_extra_debug_print( arma_boost::format("blas::gemm(): trans_B = %c") % trans_B );
        
        blas::gemm<eT>
          (
          &trans_A,
          &trans_B,
          &m,
          &n,
          &k,
          &local_alpha,
          A.mem,
          &lda,
          B.mem,
          &ldb,
          &local_beta,
          C.memptr(),
          &m
          );
        }
      #else
        {
        gemm_emul<do_trans_A, do_trans_B, use_alpha, use_beta>::apply(C,A,B,alpha,beta);
        }
      #endif
      }
    }
  
  
  
  template<typename eT>
  inline
  static
  void
  apply( Mat<eT>& C, const Mat<eT>& A, const Mat<eT>& B, const eT alpha = eT(1), const eT beta = eT(0) )
    {
    gemm_emul<do_trans_A, do_trans_B, use_alpha, use_beta>::apply(C,A,B,alpha,beta);
    }
  
  
  
  arma_inline
  static
  void
  apply
    (
          Mat<float>& C,
    const Mat<float>& A,
    const Mat<float>& B,
    const float alpha = float(1),
    const float beta  = float(0)
    )
    {
    gemm<do_trans_A, do_trans_B, use_alpha, use_beta>::apply_blas_type(C,A,B,alpha,beta);
    }
  
  
  
  arma_inline
  static
  void
  apply
    (
          Mat<double>& C,
    const Mat<double>& A,
    const Mat<double>& B,
    const double alpha = double(1),
    const double beta  = double(0)
    )
    {
    gemm<do_trans_A, do_trans_B, use_alpha, use_beta>::apply_blas_type(C,A,B,alpha,beta);
    }
  
  
  
  arma_inline
  static
  void
  apply
    (
          Mat< std::complex<float> >& C,
    const Mat< std::complex<float> >& A,
    const Mat< std::complex<float> >& B,
    const std::complex<float> alpha = std::complex<float>(1),
    const std::complex<float> beta  = std::complex<float>(0)
    )
    {
    gemm<do_trans_A, do_trans_B, use_alpha, use_beta>::apply_blas_type(C,A,B,alpha,beta);
    }
  
  
  
  arma_inline
  static
  void
  apply
    (
          Mat< std::complex<double> >& C,
    const Mat< std::complex<double> >& A,
    const Mat< std::complex<double> >& B,
    const std::complex<double> alpha = std::complex<double>(1),
    const std::complex<double> beta  = std::complex<double>(0)
    )
    {
    gemm<do_trans_A, do_trans_B, use_alpha, use_beta>::apply_blas_type(C,A,B,alpha,beta);
    }
  
  };