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Diffstat (limited to 'src/Bottleneck/include/gudhi/Graph_matching.h')
-rw-r--r-- | src/Bottleneck/include/gudhi/Graph_matching.h | 197 |
1 files changed, 0 insertions, 197 deletions
diff --git a/src/Bottleneck/include/gudhi/Graph_matching.h b/src/Bottleneck/include/gudhi/Graph_matching.h deleted file mode 100644 index ea47e1d5..00000000 --- a/src/Bottleneck/include/gudhi/Graph_matching.h +++ /dev/null @@ -1,197 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): Francois Godi - * - * Copyright (C) 2015 INRIA Saclay (France) - * - * This program is free software: you can redistribute it and/or modify - * it under the terms of the GNU General Public License as published by - * the Free Software Foundation, either version 3 of the License, or - * (at your option) any later version. - * - * This program 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 General Public License for more details. - * - * You should have received a copy of the GNU General Public License - * along with this program. If not, see <http://www.gnu.org/licenses/>. - */ - -#ifndef SRC_BOTTLENECK_INCLUDE_GUDHI_GRAPH_MATCHING_H_ -#define SRC_BOTTLENECK_INCLUDE_GUDHI_GRAPH_MATCHING_H_ - -#include <deque> -#include <list> -#include <vector> - -#include "gudhi/Layered_neighbors_finder.h" - -namespace Gudhi { - -namespace bottleneck { - -template<typename Persistence_diagram1, typename Persistence_diagram2> -double bottleneck_distance(Persistence_diagram1& diag1, Persistence_diagram2& diag2, double e = 0.); - -class Graph_matching { - public: - Graph_matching(const Persistence_diagrams_graph& g); - Graph_matching& operator=(const Graph_matching& m); - bool perfect() const; - bool multi_augment(); - void set_r(double r); - - private: - const Persistence_diagrams_graph& g; - double r; - std::vector<int> v_to_u; - std::list<int> unmatched_in_u; - - Layered_neighbors_finder* layering() const; - bool augment(Layered_neighbors_finder* layered_nf, int u_start_index, int max_depth); - void update(std::deque<int>& path); -}; - -Graph_matching::Graph_matching(const Persistence_diagrams_graph& g) - : g(g), r(0), v_to_u(g.size()), unmatched_in_u() { - for (int u_point_index = 0; u_point_index < g.size(); ++u_point_index) - unmatched_in_u.emplace_back(u_point_index); -} - -Graph_matching& Graph_matching::operator=(const Graph_matching& m) { - r = m.r; - v_to_u = m.v_to_u; - unmatched_in_u = m.unmatched_in_u; - return *this; -} - -inline bool Graph_matching::perfect() const { - return unmatched_in_u.empty(); -} - -inline bool Graph_matching::multi_augment() { - if (perfect()) - return false; - Layered_neighbors_finder* layered_nf = layering(); - double rn = sqrt(g.size()); - int nblmax = layered_nf->vlayers_number()*2 + 1; - // verification of a necessary criterion - if ((unmatched_in_u.size() > rn && nblmax > rn) || nblmax == 0) - return false; - bool successful = false; - std::list<int>* tries = new std::list<int>(unmatched_in_u); - for (auto it = tries->cbegin(); it != tries->cend(); it++) - successful = successful || augment(layered_nf, *it, nblmax); - delete tries; - delete layered_nf; - return successful; -} - -inline void Graph_matching::set_r(double r) { - this->r = r; -} - -Layered_neighbors_finder* Graph_matching::layering() const { - bool end = false; - int layer = 0; - std::list<int> u_vertices(unmatched_in_u); - std::list<int> v_vertices; - Neighbors_finder nf(g, r); - Layered_neighbors_finder* layered_nf = new Layered_neighbors_finder(g, r); - for (int v_point_index = 0; v_point_index < g.size(); ++v_point_index) - nf.add(v_point_index); - while (!u_vertices.empty()) { - for (auto it = u_vertices.cbegin(); it != u_vertices.cend(); ++it) { - std::list<int>* u_succ = nf.pull_all_near(*it); - for (auto it = u_succ->cbegin(); it != u_succ->cend(); ++it) { - layered_nf->add(*it, layer); - v_vertices.emplace_back(*it); - } - delete u_succ; - } - u_vertices.clear(); - for (auto it = v_vertices.cbegin(); it != v_vertices.cend(); it++) { - if (v_to_u.at(*it) == null_point_index()) - end = true; - else - u_vertices.emplace_back(v_to_u.at(*it)); - } - if (end) - return layered_nf; - v_vertices.clear(); - layer++; - } - return layered_nf; -} - -bool Graph_matching::augment(Layered_neighbors_finder *layered_nf, int u_start_index, int max_depth) { - std::deque<int> path; - path.emplace_back(u_start_index); - // start is a point from U - do { - if (static_cast<int>(path.size()) > max_depth) { - path.pop_back(); - path.pop_back(); - } - if (path.empty()) - return false; - int w = path.back(); - path.emplace_back(layered_nf->pull_near(w, path.size() / 2)); - while (path.back() == null_point_index()) { - path.pop_back(); - path.pop_back(); - if (path.empty()) - return false; - path.pop_back(); - path.emplace_back(layered_nf->pull_near(path.back(), path.size() / 2)); - } - path.emplace_back(v_to_u.at(path.back())); - } while (path.back() != null_point_index()); - path.pop_back(); - update(path); - return true; -} - -void Graph_matching::update(std::deque<int>& path) { - unmatched_in_u.remove(path.front()); - for (auto it = path.cbegin(); it != path.cend(); ++it) { - int tmp = *it; - ++it; - v_to_u[*it] = tmp; - } -} - -template<typename Persistence_diagram1, typename Persistence_diagram2> -double bottleneck_distance(Persistence_diagram1& diag1, Persistence_diagram2& diag2, double e) { - Persistence_diagrams_graph g(diag1, diag2, e); - std::vector<double>* sd = g.sorted_distances(); - int idmin = 0; - int idmax = sd->size() - 1; - double alpha = pow(sd->size(), 0.25); - Graph_matching m(g); - Graph_matching biggest_unperfect = m; - while (idmin != idmax) { - int pas = static_cast<int>((idmax - idmin) / alpha); - m.set_r(sd->at(idmin + pas)); - while (m.multi_augment()) {} - if (m.perfect()) { - idmax = idmin + pas; - m = biggest_unperfect; - } else { - biggest_unperfect = m; - idmin = idmin + pas + 1; - } - } - double b = sd->at(idmin); - delete sd; - return b; -} - -} // namespace bottleneck - -} // namespace Gudhi - -#endif // SRC_BOTTLENECK_INCLUDE_GUDHI_GRAPH_MATCHING_H_ |