op_symmat_meat.hpp

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// Copyright (C) 2011 NICTA (www.nicta.com.au)
// Copyright (C) 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<typename T1>
inline
void
op_symmat::apply
  (
        Mat<typename T1::elem_type>& out,
  const Op<T1,op_symmat>&            in,
  const typename arma_not_cx<typename T1::elem_type>::result* junk
  )
  {
  arma_extra_debug_sigprint();
  arma_ignore(junk);
  
  typedef typename T1::elem_type eT;
  
  const unwrap<T1> tmp(in.m);
  const Mat<eT>& A = tmp.M;
  
  arma_debug_check( (A.is_square() == false), "symmatu()/symmatl(): given matrix must be square" );
  
  const uword  N     = A.n_rows;
  const bool upper = (in.aux_uword_a == 0);
  
  if(&out != &A)
    {
    out.copy_size(A);
    
    if(upper)
      {
      // upper triangular: copy the diagonal and the elements above the diagonal
      
      for(uword i=0; i<N; ++i)
        {
        const eT* A_data   = A.colptr(i);
              eT* out_data = out.colptr(i);
        
        arrayops::copy( out_data, A_data, i+1 );
        }
      }
    else
      {
      // lower triangular: copy the diagonal and the elements below the diagonal
      
      for(uword i=0; i<N; ++i)
        {
        const eT* A_data   = A.colptr(i);
              eT* out_data = out.colptr(i);
        
        arrayops::copy( &out_data[i], &A_data[i], N-i );
        }
      }
    }
  
  
  if(upper)
    {
    // reflect elements across the diagonal from upper triangle to lower triangle
    
    for(uword col=1; col < N; ++col)
      {
      const eT* coldata = out.colptr(col);
      
      for(uword row=0; row < col; ++row)
        {
        out.at(col,row) = coldata[row];
        }
      }
    }
  else
    {
    // reflect elements across the diagonal from lower triangle to upper triangle
    
    for(uword col=0; col < N; ++col)
      {
      const eT* coldata = out.colptr(col);
      
      for(uword row=(col+1); row < N; ++row)
        {
        out.at(col,row) = coldata[row];
        }
      }
    }
  }



template<typename T1>
inline
void
op_symmat::apply
  (
        Mat<typename T1::elem_type>& out,
  const Op<T1,op_symmat>&            in,
  const typename arma_cx_only<typename T1::elem_type>::result* junk
  )
  {
  arma_extra_debug_sigprint();
  arma_ignore(junk);
  
  typedef typename T1::elem_type eT;
  
  const unwrap<T1> tmp(in.m);
  const Mat<eT>& A = tmp.M;
  
  arma_debug_check( (A.is_square() == false), "symmatu()/symmatl(): given matrix must be square" );
  
  const uword  N     = A.n_rows;
  const bool upper = (in.aux_uword_a == 0);
  
  if(&out != &A)
    {
    out.copy_size(A);
    
    if(upper)
      {
      // upper triangular: copy the diagonal and the elements above the diagonal
      
      for(uword i=0; i<N; ++i)
        {
        const eT* A_data   = A.colptr(i);
              eT* out_data = out.colptr(i);
        
        arrayops::copy( out_data, A_data, i+1 );
        }
      }
    else
      {
      // lower triangular: copy the diagonal and the elements below the diagonal
      
      for(uword i=0; i<N; ++i)
        {
        const eT* A_data   = A.colptr(i);
              eT* out_data = out.colptr(i);
        
        arrayops::copy( &out_data[i], &A_data[i], N-i );
        }
      }
    }
  
  
  if(upper)
    {
    // reflect elements across the diagonal from upper triangle to lower triangle
    
    for(uword col=1; col < N; ++col)
      {
      const eT* coldata = out.colptr(col);
      
      for(uword row=0; row < col; ++row)
        {
        out.at(col,row) = std::conj(coldata[row]);
        }
      }
    }
  else
    {
    // reflect elements across the diagonal from lower triangle to upper triangle
    
    for(uword col=0; col < N; ++col)
      {
      const eT* coldata = out.colptr(col);
      
      for(uword row=(col+1); row < N; ++row)
        {
        out.at(col,row) = std::conj(coldata[row]);
        }
      }
    }
  }