summaryrefslogtreecommitdiff
path: root/matching/include/phat/compute_persistence_pairs.h
diff options
context:
space:
mode:
Diffstat (limited to 'matching/include/phat/compute_persistence_pairs.h')
-rw-r--r--matching/include/phat/compute_persistence_pairs.h137
1 files changed, 0 insertions, 137 deletions
diff --git a/matching/include/phat/compute_persistence_pairs.h b/matching/include/phat/compute_persistence_pairs.h
deleted file mode 100644
index 06f5372..0000000
--- a/matching/include/phat/compute_persistence_pairs.h
+++ /dev/null
@@ -1,137 +0,0 @@
-/* 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/persistence_pairs.h>
-#include <phat/boundary_matrix.h>
-#include <phat/helpers/dualize.h>
-#include <phat/algorithms/twist_reduction.h>
-
-namespace phat {
- // Extracts persistence pairs in separate dimensions from a reduced
- // boundary matrix representing ``double`` filtration. The pairs
- // give persistent relative homology of the pair of filtrations.
- // TODO: Use it with standard reduction algorithm (no template option).
- template< typename ReductionAlgorithm, typename Representation >
- void compute_relative_persistence_pairs(std::vector<persistence_pairs>& pairs, boundary_matrix<Representation>& boundary_matrix, const std::map<int, int>& L) {
- ReductionAlgorithm reduce;
- reduce(boundary_matrix);
- std::map<int, bool> free;
- std::map<int, int> invL;
- for (std::map<int, int>::const_iterator it = L.begin(); it != L.end(); ++it) { invL[it->second] = it->first; }
- for (std::vector<persistence_pairs>::iterator it = pairs.begin(); it != pairs.end(); ++it) { it->clear(); }
- for (index idx = 0; idx < boundary_matrix.get_num_cols(); ++idx) {
- int dimension = boundary_matrix.get_dim(idx);
- if (L.find(idx) != L.end()) { ++dimension; }
- free[idx] = true;
- if (!boundary_matrix.is_empty(idx)) {
- index birth = boundary_matrix.get_max_index(idx);
- index death = idx;
- pairs[dimension-1].append_pair(birth, death);
- free[birth] = false;
- free[death] = false;
- } else {
- // This is an L-simplex and a (dimension+1)-dimensional cycle
- if (L.find(idx) != L.end()) {
- assert(dimension < pairs.size());
- pairs[dimension].append_pair(idx, -1);
- }
- }
- }
- for (std::map<int, bool>::iterator it = free.begin(); it != free.end(); ++it) {
- if (it->second) {
- int dimension = boundary_matrix.get_dim(it->first);
- if (invL.find(it->first) == invL.end() && L.find(it->first) == L.end()) {
- assert(dimension < pairs.size());
- pairs[dimension].append_pair(it->first, -1);
- }
- }
- }
- }
-
- // Extracts persistence pairs in separate dimensions; expects a d-dimensional vector of persistent_pairs
- template< typename ReductionAlgorithm, typename Representation >
- void compute_persistence_pairs(std::vector<persistence_pairs>& pairs, boundary_matrix<Representation>& boundary_matrix) {
- ReductionAlgorithm reduce;
- reduce(boundary_matrix);
- std::map<int, bool> free;
- for (std::vector<persistence_pairs>::iterator it = pairs.begin(); it != pairs.end(); ++it) { it->clear(); }
- for (index idx = 0; idx < boundary_matrix.get_num_cols(); ++idx) {
- int dimension = boundary_matrix.get_dim(idx);
- free[idx] = true;
- if (!boundary_matrix.is_empty(idx)) {
- index birth = boundary_matrix.get_max_index(idx);
- index death = idx;
- pairs[dimension-1].append_pair(birth, death);
- // Cannot be of the form (a, infinity)
- free[birth] = false;
- free[death] = false;
- }
- }
- for (std::map<int, bool>::iterator it = free.begin(); it != free.end(); ++it) {
- if (it->second) {
- int dimension = boundary_matrix.get_dim(it->first);
- pairs[dimension].append_pair(it->first, -1);
- }
- }
- }
-
- template< typename ReductionAlgorithm, typename Representation >
- void compute_persistence_pairs( persistence_pairs& pairs, boundary_matrix< Representation >& boundary_matrix ) {
- ReductionAlgorithm reduce;
- reduce( boundary_matrix );
- pairs.clear();
- std::set<index> max_indices;
- // finite pairs
- for( index idx = 0; idx < boundary_matrix.get_num_cols(); idx++ ) {
- if( !boundary_matrix.is_empty( idx ) ) {
- index birth = boundary_matrix.get_max_index( idx );
- max_indices.insert(birth);
- index death = idx;
- pairs.append_pair( birth, death );
- }
- }
- // infinite pairs: column idx is 0, and row idx does not contain a lowest one
- for( index idx = 0; idx < boundary_matrix.get_num_cols(); idx++ ) {
- if(boundary_matrix.is_empty(idx) && max_indices.count(idx) == 0 ) {
- pairs.append_pair( idx, k_infinity_index);
- }
- }
- }
-
- template< typename ReductionAlgorithm, typename Representation >
- void compute_persistence_pairs_dualized( persistence_pairs& pairs, boundary_matrix< Representation >& boundary_matrix ) {
-
- dualize( boundary_matrix );
- compute_persistence_pairs< ReductionAlgorithm >( pairs, boundary_matrix );
- dualize_persistence_pairs( pairs, boundary_matrix.get_num_cols() );
- }
-
- template< typename Representation >
- void compute_persistence_pairs( persistence_pairs& pairs, boundary_matrix< Representation >& boundary_matrix ) {
- phat::compute_persistence_pairs< twist_reduction >( pairs, boundary_matrix );
- }
-
-
- template< typename Representation >
- void compute_persistence_pairs_dualized( persistence_pairs& pairs, boundary_matrix< Representation >& boundary_matrix ) {
- compute_persistence_pairs_dualized< twist_reduction >( pairs, boundary_matrix );
- }
-
-}