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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 spglue_merge
+//! @{
+
+
+
+template<typename eT>
+inline
+void
+spglue_merge::subview_merge(SpSubview<eT>& sv, const SpMat<eT>& B)
+ {
+ arma_extra_debug_sigprint();
+
+ if(sv.n_elem == 0) { return; }
+
+ if(B.n_nonzero == 0) { sv.zeros(); return; }
+
+ SpMat<eT>& A = access::rw(sv.m);
+
+ const uword merge_n_nonzero = A.n_nonzero - sv.n_nonzero + B.n_nonzero;
+
+ const uword sv_row_start = sv.aux_row1;
+ const uword sv_col_start = sv.aux_col1;
+
+ const uword sv_row_end = sv.aux_row1 + sv.n_rows - 1;
+ const uword sv_col_end = sv.aux_col1 + sv.n_cols - 1;
+
+
+ if(A.n_nonzero == sv.n_nonzero)
+ {
+ // A is either all zeros or has all of its elements in the subview
+ // so the merge is equivalent to overwrite of A
+
+ SpMat<eT> tmp(arma_reserve_indicator(), A.n_rows, A.n_cols, B.n_nonzero);
+
+ typename SpMat<eT>::const_iterator B_it = B.begin();
+ typename SpMat<eT>::const_iterator B_it_end = B.end();
+
+ uword tmp_count = 0;
+
+ for(; B_it != B_it_end; ++B_it)
+ {
+ access::rw(tmp.values[tmp_count]) = (*B_it);
+ access::rw(tmp.row_indices[tmp_count]) = B_it.row() + sv_row_start;
+ access::rw(tmp.col_ptrs[B_it.col() + sv_col_start + 1])++;
+ ++tmp_count;
+ }
+
+ for(uword i=0; i < tmp.n_cols; ++i)
+ {
+ access::rw(tmp.col_ptrs[i + 1]) += tmp.col_ptrs[i];
+ }
+
+ A.steal_mem(tmp);
+
+ access::rw(sv.n_nonzero) = B.n_nonzero;
+
+ return;
+ }
+
+
+ if(sv.n_nonzero > (A.n_nonzero/2))
+ {
+ // A has most of its elements in the subview,
+ // so regenerate A with zeros in the subview region
+ // in order to increase merging efficiency
+
+ sv.zeros();
+ }
+
+
+ SpMat<eT> out(arma_reserve_indicator(), A.n_rows, A.n_cols, merge_n_nonzero);
+
+ typename SpMat<eT>::const_iterator x_it = A.begin();
+ typename SpMat<eT>::const_iterator x_end = A.end();
+
+ typename SpMat<eT>::const_iterator y_it = B.begin();
+ typename SpMat<eT>::const_iterator y_end = B.end();
+
+ uword count = 0;
+
+ bool x_it_valid = (x_it != x_end);
+ bool y_it_valid = (y_it != y_end);
+
+ while(x_it_valid || y_it_valid)
+ {
+ eT out_val = eT(0);
+
+ const uword x_it_row = (x_it_valid) ? uword(x_it.row()) : uword(0);
+ const uword x_it_col = (x_it_valid) ? uword(x_it.col()) : uword(0);
+
+ const uword y_it_row = (y_it_valid) ? uword(sv_row_start + y_it.row()) : uword(0);
+ const uword y_it_col = (y_it_valid) ? uword(sv_col_start + y_it.col()) : uword(0);
+
+ bool use_y_loc = false;
+
+ if(x_it_valid && y_it_valid)
+ {
+ if( (x_it_row == y_it_row) && (x_it_col == y_it_col) )
+ {
+ out_val = (*y_it);
+
+ ++x_it;
+ ++y_it;
+ }
+ else
+ {
+ 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
+ {
+ const bool x_inside_box = ((x_it_row >= sv_row_start) && (x_it_row <= sv_row_end)) && ((x_it_col >= sv_col_start) && (x_it_col <= sv_col_end));
+
+ out_val = (x_inside_box) ? eT(0) : (*x_it);
+
+ ++x_it;
+ }
+ else
+ {
+ out_val = (*y_it);
+
+ ++y_it;
+
+ use_y_loc = true;
+ }
+ }
+ }
+ else
+ if(x_it_valid)
+ {
+ const bool x_inside_box = ((x_it_row >= sv_row_start) && (x_it_row <= sv_row_end)) && ((x_it_col >= sv_col_start) && (x_it_col <= sv_col_end));
+
+ out_val = (x_inside_box) ? eT(0) : (*x_it);
+
+ ++x_it;
+ }
+ else
+ if(y_it_valid)
+ {
+ out_val = (*y_it);
+
+ ++y_it;
+
+ use_y_loc = true;
+ }
+
+ if(out_val != eT(0))
+ {
+ access::rw(out.values[count]) = out_val;
+
+ const uword out_row = (use_y_loc == false) ? x_it_row : y_it_row;
+ const uword out_col = (use_y_loc == false) ? x_it_col : y_it_col;
+
+ access::rw(out.row_indices[count]) = out_row;
+ access::rw(out.col_ptrs[out_col + 1])++;
+ ++count;
+ }
+
+ x_it_valid = (x_it != x_end);
+ y_it_valid = (y_it != y_end);
+ }
+
+ arma_check( (count != merge_n_nonzero), "internal error: spglue_merge::subview_merge(): count != merge_n_nonzero" );
+
+ const uword out_n_cols = out.n_cols;
+
+ uword* col_ptrs = access::rwp(out.col_ptrs);
+
+ for(uword c = 1; c <= out_n_cols; ++c)
+ {
+ col_ptrs[c] += col_ptrs[c - 1];
+ }
+
+ A.steal_mem(out);
+
+ access::rw(sv.n_nonzero) = B.n_nonzero;
+ }
+
+
+
+template<typename eT>
+inline
+void
+spglue_merge::subview_merge(SpSubview<eT>& sv, const Mat<eT>& B)
+ {
+ arma_extra_debug_sigprint();
+
+ if(sv.n_elem == 0) { return; }
+
+ const eT* B_memptr = B.memptr();
+ const uword B_n_elem = B.n_elem;
+
+ uword B_n_nonzero = 0;
+
+ for(uword i=0; i < B_n_elem; ++i)
+ {
+ B_n_nonzero += (B_memptr[i] != eT(0)) ? uword(1) : uword(0);
+ }
+
+ if(B_n_nonzero == 0) { sv.zeros(); return; }
+
+ SpMat<eT>& A = access::rw(sv.m);
+
+ const uword merge_n_nonzero = A.n_nonzero - sv.n_nonzero + B_n_nonzero;
+
+ const uword sv_row_start = sv.aux_row1;
+ const uword sv_col_start = sv.aux_col1;
+
+ const uword sv_row_end = sv.aux_row1 + sv.n_rows - 1;
+ const uword sv_col_end = sv.aux_col1 + sv.n_cols - 1;
+
+
+ if(A.n_nonzero == sv.n_nonzero)
+ {
+ // A is either all zeros or has all of its elements in the subview
+ // so the merge is equivalent to overwrite of A
+
+ SpMat<eT> tmp(arma_reserve_indicator(), A.n_rows, A.n_cols, B_n_nonzero);
+
+ typename Mat<eT>::const_row_col_iterator B_it = B.begin_row_col();
+ typename Mat<eT>::const_row_col_iterator B_it_end = B.end_row_col();
+
+ uword tmp_count = 0;
+
+ for(; B_it != B_it_end; ++B_it)
+ {
+ const eT val = (*B_it);
+
+ if(val != eT(0))
+ {
+ access::rw(tmp.values[tmp_count]) = val;
+ access::rw(tmp.row_indices[tmp_count]) = B_it.row() + sv_row_start;
+ access::rw(tmp.col_ptrs[B_it.col() + sv_col_start + 1])++;
+ ++tmp_count;
+ }
+ }
+
+ for(uword i=0; i < tmp.n_cols; ++i)
+ {
+ access::rw(tmp.col_ptrs[i + 1]) += tmp.col_ptrs[i];
+ }
+
+ A.steal_mem(tmp);
+
+ access::rw(sv.n_nonzero) = B_n_nonzero;
+
+ return;
+ }
+
+
+ if(sv.n_nonzero > (A.n_nonzero/2))
+ {
+ // A has most of its elements in the subview,
+ // so regenerate A with zeros in the subview region
+ // in order to increase merging efficiency
+
+ sv.zeros();
+ }
+
+
+ SpMat<eT> out(arma_reserve_indicator(), A.n_rows, A.n_cols, merge_n_nonzero);
+
+ typename SpMat<eT>::const_iterator x_it = A.begin();
+ typename SpMat<eT>::const_iterator x_end = A.end();
+
+ typename Mat<eT>::const_row_col_iterator y_it = B.begin_row_col();
+ typename Mat<eT>::const_row_col_iterator y_end = B.end_row_col();
+
+ uword count = 0;
+
+ bool x_it_valid = (x_it != x_end);
+ bool y_it_valid = (y_it != y_end);
+
+ while(x_it_valid || y_it_valid)
+ {
+ eT out_val = eT(0);
+
+ const uword x_it_row = (x_it_valid) ? uword(x_it.row()) : uword(0);
+ const uword x_it_col = (x_it_valid) ? uword(x_it.col()) : uword(0);
+
+ const uword y_it_row = (y_it_valid) ? uword(sv_row_start + y_it.row()) : uword(0);
+ const uword y_it_col = (y_it_valid) ? uword(sv_col_start + y_it.col()) : uword(0);
+
+ bool use_y_loc = false;
+
+ if(x_it_valid && y_it_valid)
+ {
+ if( (x_it_row == y_it_row) && (x_it_col == y_it_col) )
+ {
+ out_val = (*y_it);
+
+ ++x_it;
+ ++y_it;
+ }
+ else
+ {
+ 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
+ {
+ const bool x_inside_box = ((x_it_row >= sv_row_start) && (x_it_row <= sv_row_end)) && ((x_it_col >= sv_col_start) && (x_it_col <= sv_col_end));
+
+ out_val = (x_inside_box) ? eT(0) : (*x_it);
+
+ ++x_it;
+ }
+ else
+ {
+ out_val = (*y_it);
+
+ ++y_it;
+
+ use_y_loc = true;
+ }
+ }
+ }
+ else
+ if(x_it_valid)
+ {
+ const bool x_inside_box = ((x_it_row >= sv_row_start) && (x_it_row <= sv_row_end)) && ((x_it_col >= sv_col_start) && (x_it_col <= sv_col_end));
+
+ out_val = (x_inside_box) ? eT(0) : (*x_it);
+
+ ++x_it;
+ }
+ else
+ if(y_it_valid)
+ {
+ out_val = (*y_it);
+
+ ++y_it;
+
+ use_y_loc = true;
+ }
+
+ if(out_val != eT(0))
+ {
+ access::rw(out.values[count]) = out_val;
+
+ const uword out_row = (use_y_loc == false) ? x_it_row : y_it_row;
+ const uword out_col = (use_y_loc == false) ? x_it_col : y_it_col;
+
+ access::rw(out.row_indices[count]) = out_row;
+ access::rw(out.col_ptrs[out_col + 1])++;
+ ++count;
+ }
+
+ x_it_valid = (x_it != x_end);
+ y_it_valid = (y_it != y_end);
+ }
+
+ arma_check( (count != merge_n_nonzero), "internal error: spglue_merge::subview_merge(): count != merge_n_nonzero" );
+
+ const uword out_n_cols = out.n_cols;
+
+ uword* col_ptrs = access::rwp(out.col_ptrs);
+
+ for(uword c = 1; c <= out_n_cols; ++c)
+ {
+ col_ptrs[c] += col_ptrs[c - 1];
+ }
+
+ A.steal_mem(out);
+
+ access::rw(sv.n_nonzero) = B_n_nonzero;
+ }
+
+
+
+template<typename eT>
+inline
+void
+spglue_merge::symmat_merge(SpMat<eT>& out, const SpMat<eT>& A, const SpMat<eT>& B)
+ {
+ arma_extra_debug_sigprint();
+
+ out.reserve(A.n_rows, A.n_cols, 2*A.n_nonzero); // worst case scenario
+
+ typename SpMat<eT>::const_iterator x_it = A.begin();
+ typename SpMat<eT>::const_iterator x_end = A.end();
+
+ typename SpMat<eT>::const_iterator y_it = B.begin();
+ typename SpMat<eT>::const_iterator y_end = B.end();
+
+ uword count = 0;
+
+ while( (x_it != x_end) || (y_it != y_end) )
+ {
+ eT out_val;
+
+ const uword x_it_col = x_it.col();
+ const uword x_it_row = x_it.row();
+
+ const uword y_it_col = y_it.col();
+ const uword y_it_row = y_it.row();
+
+ bool use_y_loc = false;
+
+ if(x_it == y_it)
+ {
+ // this can only happen on the diagonal
+
+ out_val = (*x_it);
+
+ ++x_it;
+ ++y_it;
+ }
+ else
+ {
+ 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
+ {
+ out_val = (*x_it);
+
+ ++x_it;
+ }
+ else
+ {
+ out_val = (*y_it);
+
+ ++y_it;
+
+ use_y_loc = true;
+ }
+ }
+
+ access::rw(out.values[count]) = out_val;
+
+ const uword out_row = (use_y_loc == false) ? x_it_row : y_it_row;
+ const uword out_col = (use_y_loc == false) ? x_it_col : y_it_col;
+
+ access::rw(out.row_indices[count]) = out_row;
+ access::rw(out.col_ptrs[out_col + 1])++;
+ ++count;
+ }
+
+ const uword out_n_cols = out.n_cols;
+
+ uword* col_ptrs = access::rwp(out.col_ptrs);
+
+ // Fix column pointers to be cumulative.
+ for(uword c = 1; c <= out_n_cols; ++c)
+ {
+ col_ptrs[c] += col_ptrs[c - 1];
+ }
+
+ // quick resize without reallocating memory and copying data
+ access::rw( out.n_nonzero) = count;
+ access::rw( out.values[count]) = eT(0);
+ access::rw(out.row_indices[count]) = uword(0);
+ }
+
+
+
+template<typename eT>
+inline
+void
+spglue_merge::diagview_merge(SpMat<eT>& out, const SpMat<eT>& A, const SpMat<eT>& B)
+ {
+ arma_extra_debug_sigprint();
+
+ // NOTE: assuming that B has non-zero elements only on the main diagonal
+
+ out.reserve(A.n_rows, A.n_cols, A.n_nonzero + B.n_nonzero); // worst case scenario
+
+ typename SpMat<eT>::const_iterator x_it = A.begin();
+ typename SpMat<eT>::const_iterator x_end = A.end();
+
+ typename SpMat<eT>::const_iterator y_it = B.begin();
+ typename SpMat<eT>::const_iterator y_end = B.end();
+
+ uword count = 0;
+
+ while( (x_it != x_end) || (y_it != y_end) )
+ {
+ eT out_val = eT(0);
+
+ const uword x_it_col = x_it.col();
+ const uword x_it_row = x_it.row();
+
+ const uword y_it_col = y_it.col();
+ const uword y_it_row = y_it.row();
+
+ bool use_y_loc = false;
+
+ if(x_it == y_it)
+ {
+ // this can only happen on the diagonal
+
+ out_val = (*y_it);
+
+ ++x_it;
+ ++y_it;
+ }
+ else
+ {
+ 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
+ {
+ if(x_it_col != x_it_row) { out_val = (*x_it); } // don't take values from the main diagonal of A
+
+ ++x_it;
+ }
+ else
+ {
+ if(y_it_col == y_it_row) { out_val = (*y_it); use_y_loc = true; } // take values only from the main diagonal of B
+
+ ++y_it;
+ }
+ }
+
+ if(out_val != eT(0))
+ {
+ access::rw(out.values[count]) = out_val;
+
+ const uword out_row = (use_y_loc == false) ? x_it_row : y_it_row;
+ const uword out_col = (use_y_loc == false) ? x_it_col : y_it_col;
+
+ access::rw(out.row_indices[count]) = out_row;
+ access::rw(out.col_ptrs[out_col + 1])++;
+ ++count;
+ }
+ }
+
+ const uword out_n_cols = out.n_cols;
+
+ uword* col_ptrs = access::rwp(out.col_ptrs);
+
+ // Fix column pointers to be cumulative.
+ for(uword c = 1; c <= out_n_cols; ++c)
+ {
+ col_ptrs[c] += col_ptrs[c - 1];
+ }
+
+ // quick resize without reallocating memory and copying data
+ access::rw( out.n_nonzero) = count;
+ access::rw( out.values[count]) = eT(0);
+ access::rw(out.row_indices[count]) = uword(0);
+ }
+
+
+
+//! @}