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+// SPDX-License-Identifier: Apache-2.0
+//
+// Copyright 2008-2016 Conrad Sanderson (http://conradsanderson.id.au)
+// Copyright 2008-2016 National ICT Australia (NICTA)
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+// http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+// ------------------------------------------------------------------------
+
+
+//! \addtogroup spop_trimat
+//! @{
+
+
+
+template<typename T1>
+inline
+void
+spop_trimat::apply_noalias(SpMat<typename T1::elem_type>& out, const SpProxy<T1>& P, const bool upper)
+ {
+ arma_extra_debug_sigprint();
+
+ typename SpProxy<T1>::const_iterator_type it = P.begin();
+
+ const uword old_n_nonzero = P.get_n_nonzero();
+ uword new_n_nonzero = 0;
+
+ if(upper)
+ {
+ // upper triangular: count elements on the diagonal and above the diagonal
+
+ for(uword i=0; i < old_n_nonzero; ++i)
+ {
+ new_n_nonzero += (it.row() <= it.col()) ? uword(1) : uword(0);
+ ++it;
+ }
+ }
+ else
+ {
+ // lower triangular: count elements on the diagonal and below the diagonal
+
+ for(uword i=0; i < old_n_nonzero; ++i)
+ {
+ new_n_nonzero += (it.row() >= it.col()) ? uword(1) : uword(0);
+ ++it;
+ }
+ }
+
+ const uword n_rows = P.get_n_rows();
+ const uword n_cols = P.get_n_cols();
+
+ out.reserve(n_rows, n_cols, new_n_nonzero);
+
+ uword new_index = 0;
+
+ it = P.begin();
+
+ if(upper)
+ {
+ // upper triangular: copy elements on the diagonal and above the diagonal
+
+ for(uword i=0; i < old_n_nonzero; ++i)
+ {
+ const uword row = it.row();
+ const uword col = it.col();
+
+ if(row <= col)
+ {
+ access::rw(out.values[new_index]) = (*it);
+ access::rw(out.row_indices[new_index]) = row;
+ access::rw(out.col_ptrs[col + 1])++;
+ ++new_index;
+ }
+
+ ++it;
+ }
+ }
+ else
+ {
+ // lower triangular: copy elements on the diagonal and below the diagonal
+
+ for(uword i=0; i < old_n_nonzero; ++i)
+ {
+ const uword row = it.row();
+ const uword col = it.col();
+
+ if(row >= col)
+ {
+ access::rw(out.values[new_index]) = (*it);
+ access::rw(out.row_indices[new_index]) = row;
+ access::rw(out.col_ptrs[col + 1])++;
+ ++new_index;
+ }
+
+ ++it;
+ }
+ }
+
+ for(uword i=0; i < n_cols; ++i)
+ {
+ access::rw(out.col_ptrs[i + 1]) += out.col_ptrs[i];
+ }
+ }
+
+
+
+template<typename T1>
+inline
+void
+spop_trimat::apply(SpMat<typename T1::elem_type>& out, const SpOp<T1,spop_trimat>& in)
+ {
+ arma_extra_debug_sigprint();
+
+ typedef typename T1::elem_type eT;
+
+ const SpProxy<T1> P(in.m);
+
+ arma_debug_check( (P.get_n_rows() != P.get_n_cols()), "trimatu()/trimatl(): given matrix must be square sized" );
+
+ const bool upper = (in.aux_uword_a == 0);
+
+ if(P.is_alias(out))
+ {
+ SpMat<eT> tmp;
+ spop_trimat::apply_noalias(tmp, P, upper);
+ out.steal_mem(tmp);
+ }
+ else
+ {
+ spop_trimat::apply_noalias(out, P, upper);
+ }
+ }
+
+
+
+//
+
+
+
+template<typename eT>
+inline
+void
+spop_trimatu_ext::apply_noalias(SpMat<eT>& out, const SpMat<eT>& A, const uword row_offset, const uword col_offset)
+ {
+ arma_extra_debug_sigprint();
+
+ const uword n_rows = A.n_rows;
+ const uword n_cols = A.n_cols;
+
+ arma_debug_check_bounds( ((row_offset > 0) && (row_offset >= n_rows)) || ((col_offset > 0) && (col_offset >= n_cols)), "trimatu(): requested diagonal is out of bounds" );
+
+ if(A.n_nonzero == 0) { out.zeros(n_rows, n_cols); return; }
+
+ out.reserve(n_rows, n_cols, A.n_nonzero); // upper bound on n_nonzero
+
+ uword count = 0;
+
+ const uword N = (std::min)(n_rows - row_offset, n_cols - col_offset);
+
+ for(uword i=0; i < n_cols; ++i)
+ {
+ const uword col = i + col_offset;
+
+ if(i < N)
+ {
+ typename SpMat<eT>::const_col_iterator it = A.begin_col_no_sync(col);
+ typename SpMat<eT>::const_col_iterator it_end = A.end_col_no_sync(col);
+
+ const uword end_row = i + row_offset;
+
+ for(; it != it_end; ++it)
+ {
+ const uword it_row = it.row();
+
+ if(it_row <= end_row)
+ {
+ const uword it_col = it.col();
+
+ access::rw(out.values[count]) = (*it);
+ access::rw(out.row_indices[count]) = it_row;
+ access::rw(out.col_ptrs[it_col + 1])++;
+ ++count;
+ }
+ else
+ {
+ break;
+ }
+ }
+ }
+ else
+ {
+ if(col < n_cols)
+ {
+ typename SpMat<eT>::const_col_iterator it = A.begin_col_no_sync(col);
+ typename SpMat<eT>::const_col_iterator it_end = A.end_col_no_sync(col);
+
+ for(; it != it_end; ++it)
+ {
+ const uword it_row = it.row();
+ const uword it_col = it.col();
+
+ access::rw(out.values[count]) = (*it);
+ access::rw(out.row_indices[count]) = it_row;
+ access::rw(out.col_ptrs[it_col + 1])++;
+ ++count;
+ }
+ }
+ }
+ }
+
+ for(uword i=0; i < n_cols; ++i)
+ {
+ access::rw(out.col_ptrs[i + 1]) += out.col_ptrs[i];
+ }
+
+ if(count < A.n_nonzero) { out.mem_resize(count); }
+ }
+
+
+
+template<typename T1>
+inline
+void
+spop_trimatu_ext::apply(SpMat<typename T1::elem_type>& out, const SpOp<T1,spop_trimatu_ext>& in)
+ {
+ arma_extra_debug_sigprint();
+
+ typedef typename T1::elem_type eT;
+
+ const unwrap_spmat<T1> U(in.m);
+ const SpMat<eT>& A = U.M;
+
+ arma_debug_check( (A.is_square() == false), "trimatu(): given matrix must be square sized" );
+
+ const uword row_offset = in.aux_uword_a;
+ const uword col_offset = in.aux_uword_b;
+
+ if(U.is_alias(out))
+ {
+ SpMat<eT> tmp;
+ spop_trimatu_ext::apply_noalias(tmp, A, row_offset, col_offset);
+ out.steal_mem(tmp);
+ }
+ else
+ {
+ spop_trimatu_ext::apply_noalias(out, A, row_offset, col_offset);
+ }
+ }
+
+
+
+//
+
+
+
+template<typename eT>
+inline
+void
+spop_trimatl_ext::apply_noalias(SpMat<eT>& out, const SpMat<eT>& A, const uword row_offset, const uword col_offset)
+ {
+ arma_extra_debug_sigprint();
+
+ const uword n_rows = A.n_rows;
+ const uword n_cols = A.n_cols;
+
+ arma_debug_check_bounds( ((row_offset > 0) && (row_offset >= n_rows)) || ((col_offset > 0) && (col_offset >= n_cols)), "trimatl(): requested diagonal is out of bounds" );
+
+ if(A.n_nonzero == 0) { out.zeros(n_rows, n_cols); return; }
+
+ out.reserve(n_rows, n_cols, A.n_nonzero); // upper bound on n_nonzero
+
+ uword count = 0;
+
+ if(col_offset > 0)
+ {
+ typename SpMat<eT>::const_col_iterator it = A.begin_col_no_sync(0);
+ typename SpMat<eT>::const_col_iterator it_end = A.end_col_no_sync(col_offset-1);
+
+ for(; it != it_end; ++it)
+ {
+ const uword it_row = it.row();
+ const uword it_col = it.col();
+
+ access::rw(out.values[count]) = (*it);
+ access::rw(out.row_indices[count]) = it_row;
+ access::rw(out.col_ptrs[it_col + 1])++;
+ ++count;
+ }
+ }
+
+ const uword N = (std::min)(n_rows - row_offset, n_cols - col_offset);
+
+ for(uword i=0; i < N; ++i)
+ {
+ const uword start_row = i + row_offset;
+ const uword col = i + col_offset;
+
+ typename SpMat<eT>::const_col_iterator it = A.begin_col_no_sync(col);
+ typename SpMat<eT>::const_col_iterator it_end = A.end_col_no_sync(col);
+
+ for(; it != it_end; ++it)
+ {
+ const uword it_row = it.row();
+
+ if(it_row >= start_row)
+ {
+ const uword it_col = it.col();
+
+ access::rw(out.values[count]) = (*it);
+ access::rw(out.row_indices[count]) = it_row;
+ access::rw(out.col_ptrs[it_col + 1])++;
+ ++count;
+ }
+ }
+ }
+
+ for(uword i=0; i < n_cols; ++i)
+ {
+ access::rw(out.col_ptrs[i + 1]) += out.col_ptrs[i];
+ }
+
+ if(count < A.n_nonzero) { out.mem_resize(count); }
+ }
+
+
+
+template<typename T1>
+inline
+void
+spop_trimatl_ext::apply(SpMat<typename T1::elem_type>& out, const SpOp<T1,spop_trimatl_ext>& in)
+ {
+ arma_extra_debug_sigprint();
+
+ typedef typename T1::elem_type eT;
+
+ const unwrap_spmat<T1> U(in.m);
+ const SpMat<eT>& A = U.M;
+
+ arma_debug_check( (A.is_square() == false), "trimatl(): given matrix must be square sized" );
+
+ const uword row_offset = in.aux_uword_a;
+ const uword col_offset = in.aux_uword_b;
+
+ if(U.is_alias(out))
+ {
+ SpMat<eT> tmp;
+ spop_trimatl_ext::apply_noalias(tmp, A, row_offset, col_offset);
+ out.steal_mem(tmp);
+ }
+ else
+ {
+ spop_trimatl_ext::apply_noalias(out, A, row_offset, col_offset);
+ }
+ }
+
+
+
+//! @}