/* This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT. * See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details. * Author(s): Vincent Rouvreau * * Copyright (C) 2016 Inria * * Modification(s): * - YYYY/MM Author: Description of the modification */ #ifndef INCLUDE_SIMPLEX_TREE_INTERFACE_H_ #define INCLUDE_SIMPLEX_TREE_INTERFACE_H_ #include #include #include #include #ifdef GUDHI_USE_EIGEN3 #include #endif #include #include #include // std::pair #include #include // for std::distance namespace Gudhi { template class Simplex_tree_interface : public Simplex_tree { public: using Base = Simplex_tree; using Filtration_value = typename Base::Filtration_value; using Vertex_handle = typename Base::Vertex_handle; using Simplex_handle = typename Base::Simplex_handle; using Insertion_result = typename std::pair; using Simplex = std::vector; using Simplex_and_filtration = std::pair; using Filtered_simplices = std::vector; using Skeleton_simplex_iterator = typename Base::Skeleton_simplex_iterator; using Complex_simplex_iterator = typename Base::Complex_simplex_iterator; using Extended_filtration_data = typename Base::Extended_filtration_data; using Boundary_simplex_iterator = typename Base::Boundary_simplex_iterator; public: Extended_filtration_data efd; bool find_simplex(const Simplex& simplex) { return (Base::find(simplex) != Base::null_simplex()); } void assign_simplex_filtration(const Simplex& simplex, Filtration_value filtration) { Base::assign_filtration(Base::find(simplex), filtration); Base::clear_filtration(); } bool insert(const Simplex& simplex, Filtration_value filtration = 0) { Insertion_result result = Base::insert_simplex_and_subfaces(simplex, filtration); if (result.first != Base::null_simplex()) Base::clear_filtration(); return (result.second); } // Do not interface this function, only used in alpha complex interface for complex creation bool insert_simplex(const Simplex& simplex, Filtration_value filtration = 0) { Insertion_result result = Base::insert_simplex(simplex, filtration); return (result.second); } // Do not interface this function, only used in interface for complex creation bool insert_simplex_and_subfaces(const Simplex& simplex, Filtration_value filtration = 0) { Insertion_result result = Base::insert_simplex_and_subfaces(simplex, filtration); return (result.second); } // Do not interface this function, only used in strong witness interface for complex creation bool insert_simplex(const std::vector& simplex, Filtration_value filtration = 0) { Insertion_result result = Base::insert_simplex(simplex, filtration); return (result.second); } // Do not interface this function, only used in strong witness interface for complex creation bool insert_simplex_and_subfaces(const std::vector& simplex, Filtration_value filtration = 0) { Insertion_result result = Base::insert_simplex_and_subfaces(simplex, filtration); return (result.second); } Filtration_value simplex_filtration(const Simplex& simplex) { return Base::filtration(Base::find(simplex)); } void remove_maximal_simplex(const Simplex& simplex) { Base::remove_maximal_simplex(Base::find(simplex)); Base::clear_filtration(); } Simplex_and_filtration get_simplex_and_filtration(Simplex_handle f_simplex) { Simplex simplex; for (auto vertex : Base::simplex_vertex_range(f_simplex)) { simplex.insert(simplex.begin(), vertex); } return std::make_pair(std::move(simplex), Base::filtration(f_simplex)); } Filtered_simplices get_star(const Simplex& simplex) { Filtered_simplices star; for (auto f_simplex : Base::star_simplex_range(Base::find(simplex))) { Simplex simplex_star; for (auto vertex : Base::simplex_vertex_range(f_simplex)) { simplex_star.insert(simplex_star.begin(), vertex); } star.push_back(std::make_pair(simplex_star, Base::filtration(f_simplex))); } return star; } Filtered_simplices get_cofaces(const Simplex& simplex, int dimension) { Filtered_simplices cofaces; for (auto f_simplex : Base::cofaces_simplex_range(Base::find(simplex), dimension)) { Simplex simplex_coface; for (auto vertex : Base::simplex_vertex_range(f_simplex)) { simplex_coface.insert(simplex_coface.begin(), vertex); } cofaces.push_back(std::make_pair(simplex_coface, Base::filtration(f_simplex))); } return cofaces; } void compute_extended_filtration() { this->efd = this->extend_filtration(); return; } std::vector>>> compute_extended_persistence_subdiagrams(const std::vector>>& dgm, Filtration_value min_persistence){ std::vector>>> new_dgm(4); for (unsigned int i = 0; i < dgm.size(); i++){ std::pair px = this->decode_extended_filtration(dgm[i].second.first, this->efd); std::pair py = this->decode_extended_filtration(dgm[i].second.second, this->efd); std::pair> pd_point = std::make_pair(dgm[i].first, std::make_pair(px.first, py.first)); if(std::abs(px.first - py.first) > min_persistence){ //Ordinary if (px.second == Extended_simplex_type::UP && py.second == Extended_simplex_type::UP){ new_dgm[0].push_back(pd_point); } // Relative else if (px.second == Extended_simplex_type::DOWN && py.second == Extended_simplex_type::DOWN){ new_dgm[1].push_back(pd_point); } else{ // Extended+ if (px.first < py.first){ new_dgm[2].push_back(pd_point); } //Extended- else{ new_dgm[3].push_back(pd_point); } } } } return new_dgm; } Simplex_tree_interface* collapse_edges(int nb_collapse_iteration) { #ifdef GUDHI_USE_EIGEN3 using Filtered_edge = std::tuple; std::vector edges; for (Simplex_handle sh : Base::skeleton_simplex_range(1)) { if (Base::dimension(sh) == 1) { typename Base::Simplex_vertex_range rg = Base::simplex_vertex_range(sh); auto vit = rg.begin(); Vertex_handle v = *vit; Vertex_handle w = *++vit; edges.emplace_back(v, w, Base::filtration(sh)); } } for (int iteration = 0; iteration < nb_collapse_iteration; iteration++) { edges = Gudhi::collapse::flag_complex_collapse_edges(edges); } Simplex_tree_interface* collapsed_stree_ptr = new Simplex_tree_interface(); // Copy the original 0-skeleton for (Simplex_handle sh : Base::skeleton_simplex_range(0)) { collapsed_stree_ptr->insert({*(Base::simplex_vertex_range(sh).begin())}, Base::filtration(sh)); } // Insert remaining edges for (auto remaining_edge : edges) { collapsed_stree_ptr->insert({std::get<0>(remaining_edge), std::get<1>(remaining_edge)}, std::get<2>(remaining_edge)); } return collapsed_stree_ptr; #else throw std::runtime_error("Unable to collapse edges as it requires Eigen3 >= 3.1.0."); #endif } // Iterator over the simplex tree Complex_simplex_iterator get_simplices_iterator_begin() { // this specific case works because the range is just a pair of iterators - won't work if range was a vector return Base::complex_simplex_range().begin(); } Complex_simplex_iterator get_simplices_iterator_end() { // this specific case works because the range is just a pair of iterators - won't work if range was a vector return Base::complex_simplex_range().end(); } typename std::vector::const_iterator get_filtration_iterator_begin() { // Base::initialize_filtration(); already performed in filtration_simplex_range // this specific case works because the range is just a pair of iterators - won't work if range was a vector return Base::filtration_simplex_range().begin(); } typename std::vector::const_iterator get_filtration_iterator_end() { // this specific case works because the range is just a pair of iterators - won't work if range was a vector return Base::filtration_simplex_range().end(); } Skeleton_simplex_iterator get_skeleton_iterator_begin(int dimension) { // this specific case works because the range is just a pair of iterators - won't work if range was a vector return Base::skeleton_simplex_range(dimension).begin(); } Skeleton_simplex_iterator get_skeleton_iterator_end(int dimension) { // this specific case works because the range is just a pair of iterators - won't work if range was a vector return Base::skeleton_simplex_range(dimension).end(); } std::pair get_boundary_iterators(const Simplex& simplex) { auto bd_sh = Base::find(simplex); if (bd_sh == Base::null_simplex()) throw std::runtime_error("simplex not found - cannot find boundaries"); // this specific case works because the range is just a pair of iterators - won't work if range was a vector auto boundary_srange = Base::boundary_simplex_range(bd_sh); return std::make_pair(boundary_srange.begin(), boundary_srange.end()); } }; } // namespace Gudhi #endif // INCLUDE_SIMPLEX_TREE_INTERFACE_H_