Chris@49: // Copyright (C) 2008-2012 NICTA (www.nicta.com.au)
Chris@49: // Copyright (C) 2008-2012 Conrad Sanderson
Chris@49: // Copyright (C) 2012 Ryan Curtin
Chris@49: // 
Chris@49: // This Source Code Form is subject to the terms of the Mozilla Public
Chris@49: // License, v. 2.0. If a copy of the MPL was not distributed with this
Chris@49: // file, You can obtain one at http://mozilla.org/MPL/2.0/.
Chris@49: 
Chris@49: 
Chris@49: //! \addtogroup operator_schur
Chris@49: //! @{
Chris@49: 
Chris@49: 
Chris@49: // operator %, which we define it to do a schur product (element-wise multiplication)
Chris@49: 
Chris@49: 
Chris@49: //! element-wise multiplication of user-accessible Armadillo objects with same element type
Chris@49: template<typename T1, typename T2>
Chris@49: arma_inline
Chris@49: typename
Chris@49: enable_if2
Chris@49:   <
Chris@49:   is_arma_type<T1>::value && is_arma_type<T2>::value && is_same_type<typename T1::elem_type, typename T2::elem_type>::value,
Chris@49:   const eGlue<T1, T2, eglue_schur>
Chris@49:   >::result
Chris@49: operator%
Chris@49:   (
Chris@49:   const T1& X,
Chris@49:   const T2& Y
Chris@49:   )
Chris@49:   {
Chris@49:   arma_extra_debug_sigprint();
Chris@49:   
Chris@49:   return eGlue<T1, T2, eglue_schur>(X, Y);
Chris@49:   }
Chris@49: 
Chris@49: 
Chris@49: 
Chris@49: //! element-wise multiplication of user-accessible Armadillo objects with different element types
Chris@49: template<typename T1, typename T2>
Chris@49: inline
Chris@49: typename
Chris@49: enable_if2
Chris@49:   <
Chris@49:   (is_arma_type<T1>::value && is_arma_type<T2>::value && (is_same_type<typename T1::elem_type, typename T2::elem_type>::value == false)),
Chris@49:   const mtGlue<typename promote_type<typename T1::elem_type, typename T2::elem_type>::result, T1, T2, glue_mixed_schur>
Chris@49:   >::result
Chris@49: operator%
Chris@49:   (
Chris@49:   const T1& X,
Chris@49:   const T2& Y
Chris@49:   )
Chris@49:   {
Chris@49:   arma_extra_debug_sigprint();
Chris@49:   
Chris@49:   typedef typename T1::elem_type eT1;
Chris@49:   typedef typename T2::elem_type eT2;
Chris@49:   
Chris@49:   typedef typename promote_type<eT1,eT2>::result out_eT;
Chris@49:   
Chris@49:   promote_type<eT1,eT2>::check();
Chris@49:   
Chris@49:   return mtGlue<out_eT, T1, T2, glue_mixed_schur>( X, Y );
Chris@49:   }
Chris@49: 
Chris@49: 
Chris@49: 
Chris@49: //! element-wise multiplication of two sparse matrices
Chris@49: template<typename T1, typename T2>
Chris@49: inline
Chris@49: typename
Chris@49: enable_if2
Chris@49:   <
Chris@49:   (is_arma_sparse_type<T1>::value && is_arma_sparse_type<T2>::value && is_same_type<typename T1::elem_type, typename T2::elem_type>::value),
Chris@49:   SpMat<typename T1::elem_type>
Chris@49:   >::result
Chris@49: operator%
Chris@49:   (
Chris@49:   const SpBase<typename T1::elem_type, T1>& x,
Chris@49:   const SpBase<typename T2::elem_type, T2>& y
Chris@49:   )
Chris@49:   {
Chris@49:   arma_extra_debug_sigprint();
Chris@49:   
Chris@49:   typedef typename T1::elem_type eT;
Chris@49: 
Chris@49:   const SpProxy<T1> pa(x.get_ref());
Chris@49:   const SpProxy<T2> pb(y.get_ref());
Chris@49: 
Chris@49:   arma_debug_assert_same_size(pa.get_n_rows(), pa.get_n_cols(), pb.get_n_rows(), pb.get_n_cols(), "element-wise multiplication");
Chris@49: 
Chris@49:   SpMat<typename T1::elem_type> result(pa.get_n_rows(), pa.get_n_cols());
Chris@49:   
Chris@49:   if( (pa.get_n_nonzero() != 0) && (pb.get_n_nonzero() != 0) )
Chris@49:     {
Chris@49:     // Resize memory to correct size.
Chris@49:     result.mem_resize(n_unique(x, y, op_n_unique_mul()));
Chris@49:     
Chris@49:     // Now iterate across both matrices.
Chris@49:     typename SpProxy<T1>::const_iterator_type x_it = pa.begin();
Chris@49:     typename SpProxy<T2>::const_iterator_type y_it = pb.begin();
Chris@49:     
Chris@49:     typename SpProxy<T1>::const_iterator_type x_end = pa.end();
Chris@49:     typename SpProxy<T2>::const_iterator_type y_end = pb.end();
Chris@49:     
Chris@49:     uword cur_val = 0;
Chris@49:     while((x_it != x_end) || (y_it != y_end))
Chris@49:       {
Chris@49:       if(x_it == y_it)
Chris@49:         {
Chris@49:         const eT val = (*x_it) * (*y_it);
Chris@49:         
Chris@49:         if (val != eT(0))
Chris@49:           {
Chris@49:           access::rw(result.values[cur_val]) = val;
Chris@49:           access::rw(result.row_indices[cur_val]) = x_it.row();
Chris@49:           ++access::rw(result.col_ptrs[x_it.col() + 1]);
Chris@49:           ++cur_val;
Chris@49:           }
Chris@49:         
Chris@49:         ++x_it;
Chris@49:         ++y_it;
Chris@49:         }
Chris@49:       else
Chris@49:         {
Chris@49:         const uword x_it_row = x_it.row();
Chris@49:         const uword x_it_col = x_it.col();
Chris@49:         
Chris@49:         const uword y_it_row = y_it.row();
Chris@49:         const uword y_it_col = y_it.col();
Chris@49:         
Chris@49:         if((x_it_col < y_it_col) || ((x_it_col == y_it_col) && (x_it_row < y_it_row))) // if y is closer to the end
Chris@49:           {
Chris@49:           ++x_it;
Chris@49:           }
Chris@49:         else
Chris@49:           {
Chris@49:           ++y_it;
Chris@49:           }
Chris@49:         }
Chris@49:       }
Chris@49:     
Chris@49:     // Fix column pointers to be cumulative.
Chris@49:     for(uword c = 1; c <= result.n_cols; ++c)
Chris@49:       {
Chris@49:       access::rw(result.col_ptrs[c]) += result.col_ptrs[c - 1];
Chris@49:       }
Chris@49:     }
Chris@49:   
Chris@49:   return result;
Chris@49:   }
Chris@49: 
Chris@49: 
Chris@49: 
Chris@49: //! element-wise multiplication of one dense and one sparse object
Chris@49: template<typename T1, typename T2>
Chris@49: inline
Chris@49: typename
Chris@49: enable_if2
Chris@49:   <
Chris@49:   (is_arma_type<T1>::value && is_arma_sparse_type<T2>::value && is_same_type<typename T1::elem_type, typename T2::elem_type>::value),
Chris@49:   SpMat<typename T1::elem_type>
Chris@49:   >::result
Chris@49: operator%
Chris@49:   (
Chris@49:   const T1& x,
Chris@49:   const T2& y
Chris@49:   )
Chris@49:   {
Chris@49:   arma_extra_debug_sigprint();
Chris@49:   
Chris@49:   typedef typename T1::elem_type eT;
Chris@49:   
Chris@49:   const   Proxy<T1> pa(x);
Chris@49:   const SpProxy<T2> pb(y);
Chris@49:   
Chris@49:   arma_debug_assert_same_size(pa.get_n_rows(), pa.get_n_cols(), pb.get_n_rows(), pb.get_n_cols(), "element-wise multiplication");
Chris@49:   
Chris@49:   SpMat<eT> result(pa.get_n_rows(), pa.get_n_cols());
Chris@49:   
Chris@49:   // count new size
Chris@49:   uword new_n_nonzero = 0;
Chris@49:   
Chris@49:   typename SpProxy<T2>::const_iterator_type it     = pb.begin();
Chris@49:   typename SpProxy<T2>::const_iterator_type it_end = pb.end();
Chris@49:   
Chris@49:   while(it != it_end)
Chris@49:     {
Chris@49:     if( ((*it) * pa.at(it.row(), it.col())) != eT(0) )
Chris@49:       {
Chris@49:       ++new_n_nonzero;
Chris@49:       }
Chris@49:     
Chris@49:     ++it;
Chris@49:     }
Chris@49:   
Chris@49:   // Resize memory accordingly.
Chris@49:   result.mem_resize(new_n_nonzero);
Chris@49:   
Chris@49:   uword cur_val = 0;
Chris@49:   
Chris@49:   typename SpProxy<T2>::const_iterator_type it2 = pb.begin();
Chris@49:   
Chris@49:   while(it2 != it_end)
Chris@49:     {
Chris@49:     const uword it2_row = it2.row();
Chris@49:     const uword it2_col = it2.col();
Chris@49:     
Chris@49:     const eT val = (*it2) * pa.at(it2_row, it2_col);
Chris@49:     
Chris@49:     if(val != eT(0))
Chris@49:       {
Chris@49:       access::rw(result.values[cur_val]) = val;
Chris@49:       access::rw(result.row_indices[cur_val]) = it2_row;
Chris@49:       ++access::rw(result.col_ptrs[it2_col + 1]);
Chris@49:       ++cur_val;
Chris@49:       }
Chris@49:     
Chris@49:     ++it2;
Chris@49:     }
Chris@49:   
Chris@49:   // Fix column pointers.
Chris@49:   for(uword c = 1; c <= result.n_cols; ++c)
Chris@49:     {
Chris@49:     access::rw(result.col_ptrs[c]) += result.col_ptrs[c - 1];
Chris@49:     }
Chris@49:   
Chris@49:   return result;
Chris@49:   }
Chris@49: 
Chris@49: 
Chris@49: 
Chris@49: //! element-wise multiplication of one sparse and one dense object
Chris@49: template<typename T1, typename T2>
Chris@49: inline
Chris@49: typename
Chris@49: enable_if2
Chris@49:   <
Chris@49:   (is_arma_sparse_type<T1>::value && is_arma_type<T2>::value && is_same_type<typename T1::elem_type, typename T2::elem_type>::value),
Chris@49:   SpMat<typename T1::elem_type>
Chris@49:   >::result
Chris@49: operator%
Chris@49:   (
Chris@49:   const T1& x,
Chris@49:   const T2& y
Chris@49:   )
Chris@49:   {
Chris@49:   arma_extra_debug_sigprint();
Chris@49:   
Chris@49:   // This operation is commutative.
Chris@49:   return (y % x);
Chris@49:   }
Chris@49: 
Chris@49: 
Chris@49: 
Chris@49: //! @}