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authorulrich.bauer@gmail.com <ulrich.bauer@gmail.com@8e3bb3c2-eed4-f18f-5264-0b6c94e6926d>2013-02-28 19:31:04 +0000
committerulrich.bauer@gmail.com <ulrich.bauer@gmail.com@8e3bb3c2-eed4-f18f-5264-0b6c94e6926d>2013-02-28 19:31:04 +0000
commitc817c81d9d79fe77b0729216b7db5a7eab56a23c (patch)
tree44fb7b6b7e41bdf3f555e843338797de86cc3589 /include/phat/algorithms
parentf32c606eee06544900ebe684daca14b8ac26231e (diff)
initial checkin
git-svn-id: https://phat.googlecode.com/svn/trunk@2 8e3bb3c2-eed4-f18f-5264-0b6c94e6926d
Diffstat (limited to 'include/phat/algorithms')
-rw-r--r--include/phat/algorithms/chunk_reduction.h235
-rw-r--r--include/phat/algorithms/row_reduction.h55
-rw-r--r--include/phat/algorithms/standard_reduction.h45
-rw-r--r--include/phat/algorithms/twist_reduction.h50
4 files changed, 385 insertions, 0 deletions
diff --git a/include/phat/algorithms/chunk_reduction.h b/include/phat/algorithms/chunk_reduction.h
new file mode 100644
index 0000000..ebba266
--- /dev/null
+++ b/include/phat/algorithms/chunk_reduction.h
@@ -0,0 +1,235 @@
+/* Copyright 2013 IST Austria
+ Contributed by: Ulrich Bauer, Michael Kerber, Jan Reininghaus
+
+ This file is part of PHAT.
+
+ PHAT is free software: you can redistribute it and/or modify
+ it under the terms of the GNU Lesser General Public License as published by
+ the Free Software Foundation, either version 3 of the License, or
+ (at your option) any later version.
+
+ PHAT is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with PHAT. If not, see <http://www.gnu.org/licenses/>. */
+
+#pragma once
+
+#include <phat/helpers/misc.h>
+#include <phat/boundary_matrix.h>
+
+namespace phat {
+ class chunk_reduction {
+ public:
+ enum column_type { GLOBAL
+ , LOCAL_POSITIVE
+ , LOCAL_NEGATIVE };
+
+ public:
+ template< typename Representation >
+ void operator() ( boundary_matrix< Representation >& boundary_matrix ) {
+
+ const index nr_columns = boundary_matrix.get_num_cols();
+ const dimension max_dim = boundary_matrix.get_max_dim();
+
+ std::vector< index > lowest_one_lookup( nr_columns, -1 );
+ std::vector < column_type > column_type( nr_columns, GLOBAL );
+ std::vector< char > is_active( nr_columns, false );
+
+ std::vector<index> chunk_boundaries;
+ _get_chunks( boundary_matrix, chunk_boundaries );
+
+ // Phase 1: Reduce chunks locally -- 1st pass
+ #pragma omp parallel for schedule( guided, 1 )
+ for( index chunk_id = 0; chunk_id < (index) chunk_boundaries.size() - 2; chunk_id += 2 )
+ _local_chunk_reduction( boundary_matrix, lowest_one_lookup, column_type, max_dim,
+ chunk_boundaries[chunk_id], chunk_boundaries[chunk_id+2] - 1 );
+ boundary_matrix.sync();
+
+ // Phase 1: Reduce chunks locally -- 2nd pass
+ #pragma omp parallel for schedule( guided, 1 )
+ for( index chunk_id = 1; chunk_id < (index) chunk_boundaries.size() - 2; chunk_id += 2 )
+ _local_chunk_reduction( boundary_matrix, lowest_one_lookup, column_type, max_dim,
+ chunk_boundaries[chunk_id], chunk_boundaries[chunk_id+2] - 1 );
+ boundary_matrix.sync();
+
+ // get global columns
+ std::vector< index > global_columns;
+ for( index cur_col_idx = 0; cur_col_idx < nr_columns; cur_col_idx++ )
+ if( column_type[ cur_col_idx ] == GLOBAL )
+ global_columns.push_back( cur_col_idx );
+
+ // get active columns
+ #pragma omp parallel for
+ for( index idx = 0; idx < (index)global_columns.size(); idx++ )
+ is_active[ global_columns[ idx ] ] = true;
+ _get_active_columns( boundary_matrix, lowest_one_lookup, column_type, global_columns, is_active );
+
+ // Phase 2+3: Simplify columns and reduce them
+ for( dimension cur_dim = max_dim; cur_dim >= 1; cur_dim-- ) {
+ // Phase 2: Simplify columns
+ std::vector< index > temp_col;
+ #pragma omp parallel for schedule( guided, 1 ), private( temp_col )
+ for( index idx = 0; idx < (index)global_columns.size(); idx++ )
+ if( boundary_matrix.get_dim( global_columns[ idx ] ) == cur_dim )
+ _global_column_simplification( global_columns[ idx ], boundary_matrix, lowest_one_lookup, column_type, is_active, temp_col );
+ boundary_matrix.sync();
+
+ // Phase 3: Reduce columns
+ for( index idx = 0; idx < (index)global_columns.size(); idx++ ) {
+ index cur_col = global_columns[ idx ];
+ if( boundary_matrix.get_dim( cur_col ) == cur_dim && column_type[ cur_col ] == GLOBAL ) {
+ index lowest_one = boundary_matrix.get_max_index( cur_col );
+ while( lowest_one != -1 && lowest_one_lookup[ lowest_one ] != -1 ) {
+ boundary_matrix.add_to( lowest_one_lookup[ lowest_one ], cur_col );
+ lowest_one = boundary_matrix.get_max_index( cur_col );
+ }
+ if( lowest_one != -1 ) {
+ lowest_one_lookup[ lowest_one ] = cur_col;
+ boundary_matrix.clear( lowest_one );
+ }
+ }
+ }
+ }
+
+ boundary_matrix.sync();
+ }
+
+ protected:
+ template< typename Representation >
+ void _get_chunks( const boundary_matrix< Representation >& boundary_matrix
+ , std::vector< index >& chunk_boundaries)
+ {
+ chunk_boundaries.clear();
+ std::vector<index> temp_chunk_boundaries;
+ const index nr_columns = boundary_matrix.get_num_cols();
+
+ const index chunk_size = (index) sqrt( (float)nr_columns );
+ for ( index cur_col = 0; cur_col < nr_columns; cur_col++ )
+ if( cur_col % chunk_size == 0 )
+ temp_chunk_boundaries.push_back( cur_col );
+ temp_chunk_boundaries.push_back( nr_columns );
+
+ // subdivide chunks for interleaved 2 pass appraoch
+ for( index chunk_id = 0; chunk_id < (index) temp_chunk_boundaries.size(); chunk_id ++ ) {
+ chunk_boundaries.push_back( temp_chunk_boundaries[ chunk_id ] );
+ if( chunk_id < (index) temp_chunk_boundaries.size() - 1 ) {
+ index midPoint = ( temp_chunk_boundaries[ chunk_id ] + temp_chunk_boundaries[ chunk_id + 1 ] ) / 2;
+ chunk_boundaries.push_back( midPoint );
+ }
+ }
+ }
+
+ template< typename Representation >
+ void _local_chunk_reduction( boundary_matrix< Representation >& boundary_matrix
+ , std::vector<index>& lowest_one_lookup
+ , std::vector< column_type >& column_type
+ , const dimension max_dim
+ , const index chunk_begin
+ , const index chunk_end ) {
+ for( dimension cur_dim = max_dim; cur_dim >= 1; cur_dim-- ) {
+ for( index cur_col = chunk_begin; cur_col <= chunk_end; cur_col++ ) {
+ if( column_type[ cur_col ] == GLOBAL && boundary_matrix.get_dim( cur_col ) == cur_dim ) {
+ index lowest_one = boundary_matrix.get_max_index( cur_col );
+ while( lowest_one != -1 && lowest_one >= chunk_begin && lowest_one_lookup[ lowest_one ] != -1 ) {
+ boundary_matrix.add_to( lowest_one_lookup[ lowest_one ], cur_col );
+ lowest_one = boundary_matrix.get_max_index( cur_col );
+ }
+ if( lowest_one >= chunk_begin ) {
+ lowest_one_lookup[ lowest_one ] = cur_col;
+ column_type[ cur_col ] = LOCAL_NEGATIVE;
+ column_type[ lowest_one ] = LOCAL_POSITIVE;
+ boundary_matrix.clear( lowest_one );
+ }
+ }
+ }
+ }
+ }
+
+ template< typename Representation >
+ void _get_active_columns( const boundary_matrix< Representation >& boundary_matrix
+ , const std::vector< index >& lowest_one_lookup
+ , const std::vector< column_type >& column_type
+ , const std::vector< index >& global_columns
+ , std::vector< char >& is_active ) {
+
+ const index nr_columns = boundary_matrix.get_num_cols();
+ std::vector< char > finished( nr_columns, false );
+
+ std::vector< std::pair < index, index > > stack;
+ std::vector< index > cur_col_values;
+ #pragma omp parallel for schedule( guided, 1 ), private( stack, cur_col_values )
+ for( index idx = 0; idx < (index)global_columns.size(); idx++ ) {
+ bool pop_next = false;
+ index start_col = global_columns[ idx ];
+ stack.push_back( std::pair< index, index >( start_col, -1 ) );
+ while( !stack.empty() ) {
+ index cur_col = stack.back().first;
+ index prev_col = stack.back().second;
+ if( pop_next ) {
+ stack.pop_back();
+ pop_next = false;
+ if( prev_col != -1 ) {
+ if( is_active[ cur_col ] ) {
+ is_active[ prev_col ] = true;
+ }
+ if( prev_col == stack.back().first ) {
+ finished[ prev_col ] = true;
+ pop_next = true;
+ }
+ }
+ } else {
+ pop_next = true;
+ boundary_matrix.get_col( cur_col, cur_col_values );
+ for( index idx = 0; idx < (index) cur_col_values.size(); idx++ ) {
+ index cur_row = cur_col_values[ idx ];
+ if( ( column_type[ cur_row ] == GLOBAL ) ) {
+ is_active[ cur_col ] = true;
+ } else if( column_type[ cur_row ] == LOCAL_POSITIVE ) {
+ index next_col = lowest_one_lookup[ cur_row ];
+ if( next_col != cur_col && !finished[ cur_col ] ) {
+ stack.push_back( std::make_pair( next_col, cur_col ) );
+ pop_next = false;
+ }
+ }
+ }
+ }
+ }
+ }
+ }
+
+ template< typename Representation >
+ void _global_column_simplification( const index col_idx
+ , boundary_matrix< Representation >& boundary_matrix
+ , const std::vector< index >& lowest_one_lookup
+ , const std::vector< column_type >& column_type
+ , const std::vector< char >& is_active
+ , std::vector< index >& temp_col )
+ {
+ temp_col.clear();
+ while( !boundary_matrix.is_empty( col_idx ) ) {
+ index cur_row = boundary_matrix.get_max_index( col_idx );
+ switch( column_type[ cur_row ] ) {
+ case GLOBAL:
+ temp_col.push_back( cur_row );
+ boundary_matrix.remove_max( col_idx );
+ break;
+ case LOCAL_NEGATIVE:
+ boundary_matrix.remove_max( col_idx );
+ break;
+ case LOCAL_POSITIVE:
+ if( is_active[ lowest_one_lookup[ cur_row ] ] )
+ boundary_matrix.add_to( lowest_one_lookup[ cur_row ], col_idx );
+ else
+ boundary_matrix.remove_max( col_idx );
+ break;
+ }
+ }
+ std::reverse( temp_col.begin(), temp_col.end() );
+ boundary_matrix.set_col( col_idx, temp_col );
+ }
+ };
+}
diff --git a/include/phat/algorithms/row_reduction.h b/include/phat/algorithms/row_reduction.h
new file mode 100644
index 0000000..62528e1
--- /dev/null
+++ b/include/phat/algorithms/row_reduction.h
@@ -0,0 +1,55 @@
+/* Copyright 2013 IST Austria
+ Contributed by: Ulrich Bauer, Michael Kerber, Jan Reininghaus
+
+ This file is part of PHAT.
+
+ PHAT is free software: you can redistribute it and/or modify
+ it under the terms of the GNU Lesser General Public License as published by
+ the Free Software Foundation, either version 3 of the License, or
+ (at your option) any later version.
+
+ PHAT is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with PHAT. If not, see <http://www.gnu.org/licenses/>. */
+
+#pragma once
+
+#include <phat/helpers/misc.h>
+#include <phat/boundary_matrix.h>
+
+namespace phat {
+ class row_reduction {
+ public:
+ template< typename Representation >
+ void operator() ( boundary_matrix< Representation >& boundary_matrix ) {
+
+ const index nr_columns = boundary_matrix.get_num_cols();
+ std::vector< std::vector< index > > lowest_one_lookup( nr_columns );
+
+ for( index cur_col = nr_columns - 1; cur_col >= 0; cur_col-- ) {
+ if( !boundary_matrix.is_empty( cur_col ) )
+ lowest_one_lookup[ boundary_matrix.get_max_index( cur_col ) ].push_back( cur_col );
+
+ if( !lowest_one_lookup[ cur_col ].empty() ) {
+ boundary_matrix.clear( cur_col );
+ std::vector< index >& cols_with_cur_lowest = lowest_one_lookup[ cur_col ];
+ index source = *min_element( cols_with_cur_lowest.begin(), cols_with_cur_lowest.end() );
+ for( index idx = 0; idx < (index)cols_with_cur_lowest.size(); idx++ ) {
+ index target = cols_with_cur_lowest[ idx ];
+ if( target != source && !boundary_matrix.is_empty( target ) ) {
+ boundary_matrix.add_to( source, target );
+ if( !boundary_matrix.is_empty( target ) ) {
+ index lowest_one_of_target = boundary_matrix.get_max_index( target );
+ lowest_one_lookup[ lowest_one_of_target ].push_back( target );
+ }
+ }
+ }
+ }
+ }
+ }
+ };
+} \ No newline at end of file
diff --git a/include/phat/algorithms/standard_reduction.h b/include/phat/algorithms/standard_reduction.h
new file mode 100644
index 0000000..9b3a286
--- /dev/null
+++ b/include/phat/algorithms/standard_reduction.h
@@ -0,0 +1,45 @@
+/* Copyright 2013 IST Austria
+ Contributed by: Ulrich Bauer, Michael Kerber, Jan Reininghaus
+
+ This file is part of PHAT.
+
+ PHAT is free software: you can redistribute it and/or modify
+ it under the terms of the GNU Lesser General Public License as published by
+ the Free Software Foundation, either version 3 of the License, or
+ (at your option) any later version.
+
+ PHAT is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with PHAT. If not, see <http://www.gnu.org/licenses/>. */
+
+#pragma once
+
+#include <phat/helpers/misc.h>
+#include <phat/boundary_matrix.h>
+
+namespace phat {
+ class standard_reduction {
+ public:
+ template< typename Representation >
+ void operator() ( boundary_matrix< Representation >& boundary_matrix ) {
+
+ const index nr_columns = boundary_matrix.get_num_cols();
+ std::vector< index > lowest_one_lookup( nr_columns, -1 );
+
+ for( index cur_col = 0; cur_col < nr_columns; cur_col++ ) {
+ index lowest_one = boundary_matrix.get_max_index( cur_col );
+ while( lowest_one != -1 && lowest_one_lookup[ lowest_one ] != -1 ) {
+ boundary_matrix.add_to( lowest_one_lookup[ lowest_one ], cur_col );
+ lowest_one = boundary_matrix.get_max_index( cur_col );
+ }
+ if( lowest_one != -1 ) {
+ lowest_one_lookup[ lowest_one ] = cur_col;
+ }
+ }
+ }
+ };
+}
diff --git a/include/phat/algorithms/twist_reduction.h b/include/phat/algorithms/twist_reduction.h
new file mode 100644
index 0000000..b9aae08
--- /dev/null
+++ b/include/phat/algorithms/twist_reduction.h
@@ -0,0 +1,50 @@
+/* Copyright 2013 IST Austria
+ Contributed by: Ulrich Bauer, Michael Kerber, Jan Reininghaus
+
+ This file is part of PHAT.
+
+ PHAT is free software: you can redistribute it and/or modify
+ it under the terms of the GNU Lesser General Public License as published by
+ the Free Software Foundation, either version 3 of the License, or
+ (at your option) any later version.
+
+ PHAT is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public License
+ along with PHAT. If not, see <http://www.gnu.org/licenses/>. */
+
+#pragma once
+
+#include <phat/helpers/misc.h>
+#include <phat/boundary_matrix.h>
+
+namespace phat {
+ class twist_reduction {
+ public:
+ template< typename Representation >
+ void operator () ( boundary_matrix< Representation >& boundary_matrix ) {
+
+ const index nr_columns = boundary_matrix.get_num_cols();
+ std::vector< index > lowest_one_lookup( nr_columns, -1 );
+
+ for( index cur_dim = boundary_matrix.get_max_dim(); cur_dim >= 1 ; cur_dim-- ) {
+ for( index cur_col = 0; cur_col < nr_columns; cur_col++ ) {
+ if( boundary_matrix.get_dim( cur_col ) == cur_dim ) {
+ index lowest_one = boundary_matrix.get_max_index( cur_col );
+ while( lowest_one != -1 && lowest_one_lookup[ lowest_one ] != -1 ) {
+ boundary_matrix.add_to( lowest_one_lookup[ lowest_one ], cur_col );
+ lowest_one = boundary_matrix.get_max_index( cur_col );
+ }
+ if( lowest_one != -1 ) {
+ lowest_one_lookup[ lowest_one ] = cur_col;
+ boundary_matrix.clear( lowest_one );
+ }
+ }
+ }
+ }
+ }
+ };
+}