246 lines
5.5 KiB
C++
246 lines
5.5 KiB
C++
// Copyright (C) 2010-2012 National ICT Australia (NICTA)
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//
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// This Source Code Form is subject to the terms of the Mozilla Public
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// License, v. 2.0. If a copy of the MPL was not distributed with this
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// file, You can obtain one at http://mozilla.org/MPL/2.0/.
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// -------------------------------------------------------------------
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//
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// Written by Conrad Sanderson - http://conradsanderson.id.au
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// Written by Ryan Curtin
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//! \addtogroup op_trimat
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//! @{
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template<typename eT>
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inline
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void
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op_trimat::fill_zeros(Mat<eT>& out, const bool upper)
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{
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arma_extra_debug_sigprint();
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const uword N = out.n_rows;
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if(upper)
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{
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// upper triangular: set all elements below the diagonal to zero
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for(uword i=0; i<N; ++i)
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{
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eT* data = out.colptr(i);
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arrayops::inplace_set( &data[i+1], eT(0), (N-(i+1)) );
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}
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}
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else
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{
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// lower triangular: set all elements above the diagonal to zero
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for(uword i=1; i<N; ++i)
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{
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eT* data = out.colptr(i);
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arrayops::inplace_set( data, eT(0), i );
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}
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}
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}
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template<typename T1>
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inline
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void
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op_trimat::apply(Mat<typename T1::elem_type>& out, const Op<T1,op_trimat>& in)
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{
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arma_extra_debug_sigprint();
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typedef typename T1::elem_type eT;
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const unwrap<T1> tmp(in.m);
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const Mat<eT>& A = tmp.M;
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arma_debug_check( (A.is_square() == false), "trimatu()/trimatl(): given matrix must be square sized" );
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const uword N = A.n_rows;
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const bool upper = (in.aux_uword_a == 0);
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if(&out != &A)
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{
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out.copy_size(A);
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if(upper)
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{
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// upper triangular: copy the diagonal and the elements above the diagonal
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for(uword i=0; i<N; ++i)
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{
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const eT* A_data = A.colptr(i);
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eT* out_data = out.colptr(i);
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arrayops::copy( out_data, A_data, i+1 );
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}
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}
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else
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{
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// lower triangular: copy the diagonal and the elements below the diagonal
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for(uword i=0; i<N; ++i)
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{
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const eT* A_data = A.colptr(i);
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eT* out_data = out.colptr(i);
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arrayops::copy( &out_data[i], &A_data[i], N-i );
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}
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}
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}
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op_trimat::fill_zeros(out, upper);
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}
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template<typename T1>
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inline
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void
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op_trimat::apply(Mat<typename T1::elem_type>& out, const Op<Op<T1, op_htrans>, op_trimat>& in)
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{
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arma_extra_debug_sigprint();
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typedef typename T1::elem_type eT;
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const unwrap<T1> tmp(in.m.m);
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const Mat<eT>& A = tmp.M;
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const bool upper = (in.aux_uword_a == 0);
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op_trimat::apply_htrans(out, A, upper);
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}
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template<typename eT>
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inline
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void
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op_trimat::apply_htrans
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(
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Mat<eT>& out,
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const Mat<eT>& A,
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const bool upper,
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const typename arma_not_cx<eT>::result* junk
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)
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{
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arma_extra_debug_sigprint();
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arma_ignore(junk);
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// This specialisation is for trimatl(trans(X)) = trans(trimatu(X)) and also
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// trimatu(trans(X)) = trans(trimatl(X)). We want to avoid the creation of an
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// extra temporary.
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// It doesn't matter if the input and output matrices are the same; we will
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// pull data from the upper or lower triangular to the lower or upper
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// triangular (respectively) and then set the rest to 0, so overwriting issues
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// aren't present.
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arma_debug_check( (A.is_square() == false), "trimatu()/trimatl(): given matrix must be square sized" );
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const uword N = A.n_rows;
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if(&out != &A)
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{
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out.copy_size(A);
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}
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// We can't really get away with any array copy operations here,
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// unfortunately...
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if(upper)
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{
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// Upper triangular: but since we're transposing, we're taking the lower
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// triangular and putting it in the upper half.
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for(uword row = 0; row < N; ++row)
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{
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eT* out_colptr = out.colptr(row);
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for(uword col = 0; col <= row; ++col)
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{
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//out.at(col, row) = A.at(row, col);
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out_colptr[col] = A.at(row, col);
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}
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}
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}
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else
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{
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// Lower triangular: but since we're transposing, we're taking the upper
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// triangular and putting it in the lower half.
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for(uword row = 0; row < N; ++row)
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{
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for(uword col = row; col < N; ++col)
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{
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out.at(col, row) = A.at(row, col);
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}
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}
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}
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op_trimat::fill_zeros(out, upper);
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}
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template<typename eT>
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inline
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void
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op_trimat::apply_htrans
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(
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Mat<eT>& out,
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const Mat<eT>& A,
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const bool upper,
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const typename arma_cx_only<eT>::result* junk
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)
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{
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arma_extra_debug_sigprint();
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arma_ignore(junk);
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arma_debug_check( (A.is_square() == false), "trimatu()/trimatl(): given matrix must be square sized" );
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const uword N = A.n_rows;
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if(&out != &A)
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{
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out.copy_size(A);
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}
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if(upper)
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{
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// Upper triangular: but since we're transposing, we're taking the lower
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// triangular and putting it in the upper half.
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for(uword row = 0; row < N; ++row)
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{
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eT* out_colptr = out.colptr(row);
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for(uword col = 0; col <= row; ++col)
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{
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//out.at(col, row) = std::conj( A.at(row, col) );
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out_colptr[col] = std::conj( A.at(row, col) );
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}
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}
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}
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else
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{
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// Lower triangular: but since we're transposing, we're taking the upper
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// triangular and putting it in the lower half.
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for(uword row = 0; row < N; ++row)
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{
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for(uword col = row; col < N; ++col)
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{
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out.at(col, row) = std::conj( A.at(row, col) );
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}
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}
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}
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op_trimat::fill_zeros(out, upper);
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}
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//! @}
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