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diff --git a/src/Skeleton_blocker/include/gudhi/Skeleton_blocker_complex.h b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker_complex.h new file mode 100644 index 00000000..125c6387 --- /dev/null +++ b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker_complex.h @@ -0,0 +1,1593 @@ +/* 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): David Salinas + * + * Copyright (C) 2014 Inria + * + * Modification(s): + * - YYYY/MM Author: Description of the modification + */ + +#ifndef SKELETON_BLOCKER_COMPLEX_H_ +#define SKELETON_BLOCKER_COMPLEX_H_ + +#include <gudhi/Skeleton_blocker/iterators/Skeleton_blockers_iterators.h> +#include <gudhi/Skeleton_blocker_link_complex.h> +#include <gudhi/Skeleton_blocker/Skeleton_blocker_link_superior.h> +#include <gudhi/Skeleton_blocker/Skeleton_blocker_sub_complex.h> +#include <gudhi/Skeleton_blocker/Skeleton_blocker_simplex.h> +#include <gudhi/Skeleton_blocker/Skeleton_blocker_complex_visitor.h> +#include <gudhi/Skeleton_blocker/internal/Top_faces.h> +#include <gudhi/Skeleton_blocker/internal/Trie.h> +#include <gudhi/Debug_utils.h> + +#include <boost/graph/adjacency_list.hpp> +#include <boost/graph/connected_components.hpp> +#include <boost/iterator/transform_iterator.hpp> +#include <boost/range/adaptor/map.hpp> + +#include <iostream> +#include <fstream> +#include <sstream> +#include <memory> +#include <map> +#include <list> +#include <set> +#include <vector> +#include <string> +#include <algorithm> +#include <utility> + +namespace Gudhi { + +namespace skeleton_blocker { + +/** + *@class Skeleton_blocker_complex + *@brief Abstract Simplicial Complex represented with a skeleton/blockers pair. + *@ingroup skbl + */ +template<class SkeletonBlockerDS> +class Skeleton_blocker_complex { + template<class ComplexType> friend class Vertex_iterator; + template<class ComplexType> friend class Neighbors_vertices_iterator; + template<class ComplexType> friend class Edge_iterator; + template<class ComplexType> friend class Edge_around_vertex_iterator; + + template<class ComplexType> friend class Skeleton_blocker_link_complex; + template<class ComplexType> friend class Skeleton_blocker_link_superior; + template<class ComplexType> friend class Skeleton_blocker_sub_complex; + + public: + /** + * @brief The type of stored vertex node, specified by the template SkeletonBlockerDS + */ + typedef typename SkeletonBlockerDS::Graph_vertex Graph_vertex; + + /** + * @brief The type of stored edge node, specified by the template SkeletonBlockerDS + */ + typedef typename SkeletonBlockerDS::Graph_edge Graph_edge; + + typedef typename SkeletonBlockerDS::Root_vertex_handle Root_vertex_handle; + + /** + * @brief The type of an handle to a vertex of the complex. + */ + typedef typename SkeletonBlockerDS::Vertex_handle Vertex_handle; + typedef typename Root_vertex_handle::boost_vertex_handle boost_vertex_handle; + + /** + * @brief A ordered set of integers that represents a simplex. + */ + typedef Skeleton_blocker_simplex<Vertex_handle> Simplex; + typedef Skeleton_blocker_simplex<Root_vertex_handle> Root_simplex_handle; + + /** + * @brief Handle to a blocker of the complex. + */ + typedef Simplex* Blocker_handle; + + typedef typename Root_simplex_handle::Simplex_vertex_const_iterator Root_simplex_iterator; + typedef typename Simplex::Simplex_vertex_const_iterator Simplex_handle_iterator; + + protected: + typedef typename boost::adjacency_list<boost::setS, // edges + boost::vecS, // vertices + boost::undirectedS, Graph_vertex, Graph_edge> Graph; + // todo/remark : edges are not sorted, it heavily penalizes computation for SuperiorLink + // (eg Link with greater vertices) + // that burdens simplex iteration / complex initialization via list of simplices. + // to avoid that, one should modify the graph by storing two lists of adjacency for every + // vertex, the one with superior and the one with lower vertices, that way there is + // no more extra cost for computation of SuperiorLink + typedef typename boost::graph_traits<Graph>::vertex_iterator boost_vertex_iterator; + typedef typename boost::graph_traits<Graph>::edge_iterator boost_edge_iterator; + + protected: + typedef typename boost::graph_traits<Graph>::adjacency_iterator boost_adjacency_iterator; + + public: + /** + * @brief Handle to an edge of the complex. + */ + typedef typename boost::graph_traits<Graph>::edge_descriptor Edge_handle; + + protected: + typedef std::multimap<Vertex_handle, Simplex *> BlockerMap; + typedef typename std::multimap<Vertex_handle, Simplex *>::value_type BlockerPair; + typedef typename std::multimap<Vertex_handle, Simplex *>::iterator BlockerMapIterator; + typedef typename std::multimap<Vertex_handle, Simplex *>::const_iterator BlockerMapConstIterator; + + protected: + size_t num_vertices_; + size_t num_blockers_; + + typedef Skeleton_blocker_complex_visitor<Vertex_handle> Visitor; + // typedef Visitor* Visitor_ptr; + Visitor* visitor; + + /** + * @details If 'x' is a Vertex_handle of a vertex in the complex then degree[x] = d is its degree. + * + * This quantity is updated when adding/removing edge. + * + * This is useful because the operation + * list.size() is done in linear time. + */ + std::vector<boost_vertex_handle> degree_; + Graph skeleton; /** 1-skeleton of the simplicial complex. */ + + /** Each vertex can access to the blockers passing through it. */ + BlockerMap blocker_map_; + + public: + ///////////////////////////////////////////////////////////////////////////// + /** @name Constructors, Destructors + */ + //@{ + + /** + *@brief constructs a simplicial complex with a given number of vertices and a visitor. + */ + explicit Skeleton_blocker_complex(size_t num_vertices_ = 0, Visitor* visitor_ = NULL) + : visitor(visitor_) { + clear(); + for (size_t i = 0; i < num_vertices_; ++i) { + add_vertex(); + } + } + + private: + // typedef Trie<Skeleton_blocker_complex<SkeletonBlockerDS>> STrie; + typedef Trie<Simplex> STrie; + + public: + /** + * @brief Constructor with a list of simplices. + * @details is_flag_complex indicates if the complex is a flag complex or not (to know if blockers have to be computed or not). + */ + template<typename SimpleHandleOutputIterator> + Skeleton_blocker_complex(SimpleHandleOutputIterator simplices_begin, SimpleHandleOutputIterator simplices_end, + bool is_flag_complex = false, Visitor* visitor_ = NULL) + : num_vertices_(0), + num_blockers_(0), + visitor(visitor_) { + add_vertices_and_edges(simplices_begin, simplices_end); + + if (!is_flag_complex) + // need to compute blockers + add_blockers(simplices_begin, simplices_end); + } + + private: + /** + * Add vertices and edges of a simplex in one pass + */ + template<typename SimpleHandleOutputIterator> + void add_vertices_and_edges(SimpleHandleOutputIterator simplices_begin, SimpleHandleOutputIterator simplices_end) { + std::vector<std::pair<Vertex_handle, Vertex_handle>> edges; + // first pass to add vertices and edges + int num_vertex = -1; + for (auto s_it = simplices_begin; s_it != simplices_end; ++s_it) { + if (s_it->dimension() == 0) num_vertex = (std::max)(num_vertex, s_it->first_vertex().vertex); + if (s_it->dimension() == 1) edges.emplace_back(s_it->first_vertex(), s_it->last_vertex()); + } + while (num_vertex-- >= 0) add_vertex(); + + for (const auto& e : edges) + add_edge_without_blockers(e.first, e.second); + } + + template<typename SimpleHandleOutputIterator> + void add_blockers(SimpleHandleOutputIterator simplices_begin, SimpleHandleOutputIterator simplices_end) { + Tries<Simplex> tries(num_vertices(), simplices_begin, simplices_end); + tries.init_next_dimension(); + auto simplices(tries.next_dimension_simplices()); + + while (!simplices.empty()) { + simplices = tries.next_dimension_simplices(); + for (auto& sigma : simplices) { + // common_positive_neighbors is the set of vertices u such that + // for all s in sigma, us is an edge and u>s + Simplex common_positive_neighbors(tries.positive_neighbors(sigma.last_vertex())); + for (auto sigma_it = sigma.rbegin(); sigma_it != sigma.rend(); ++sigma_it) + if (sigma_it != sigma.rbegin()) + common_positive_neighbors.intersection(tries.positive_neighbors(*sigma_it)); + + for (auto x : common_positive_neighbors) { + // first test that all edges sx are here for all s in sigma + bool all_edges_here = true; + for (auto s : sigma) + if (!contains_edge(x, s)) { + all_edges_here = false; + break; + } + if (!all_edges_here) continue; + + // all edges of sigma \cup x are here + // we have a blocker if all proper faces of sigma \cup x + // are in the complex and if sigma \cup x is not in the complex + // the first is equivalent at checking if blocks(sigma \cup x) is true + // as all blockers of lower dimension have already been computed + sigma.add_vertex(x); + if (!tries.contains(sigma) && !blocks(sigma)) + add_blocker(sigma); + sigma.remove_vertex(x); + } + } + } + } + + public: + // We cannot use the default copy constructor since we need + // to make a copy of each of the blockers + + Skeleton_blocker_complex(const Skeleton_blocker_complex& copy) { + visitor = NULL; + degree_ = copy.degree_; + skeleton = Graph(copy.skeleton); + num_vertices_ = copy.num_vertices_; + + num_blockers_ = 0; + // we copy the blockers + for (auto blocker : copy.const_blocker_range()) { + add_blocker(*blocker); + } + } + + /** + */ + Skeleton_blocker_complex& operator=(const Skeleton_blocker_complex& copy) { + clear(); + visitor = NULL; + degree_ = copy.degree_; + skeleton = Graph(copy.skeleton); + num_vertices_ = copy.num_vertices_; + + num_blockers_ = 0; + // we copy the blockers + for (auto blocker : copy.const_blocker_range()) + add_blocker(*blocker); + return *this; + } + + /** + * return true if both complexes have the same simplices. + */ + bool operator==(const Skeleton_blocker_complex& other) const { + if (other.num_vertices() != num_vertices()) return false; + if (other.num_edges() != num_edges()) return false; + if (other.num_blockers() != num_blockers()) return false; + + for (auto v : vertex_range()) + if (!other.contains_vertex(v)) return false; + + for (auto e : edge_range()) + if (!other.contains_edge(first_vertex(e), second_vertex(e))) return false; + + for (const auto b : const_blocker_range()) + if (!other.contains_blocker(*b)) return false; + + return true; + } + + bool operator!=(const Skeleton_blocker_complex& other) const { + return !(*this == other); + } + + /** + * The destructor delete all blockers allocated. + */ + virtual ~Skeleton_blocker_complex() { + clear(); + } + + /** + * @details Clears the simplicial complex. After a call to this function, + * blockers are destroyed. The 1-skeleton and the set of blockers + * are both empty. + */ + virtual void clear() { + // xxx for now the responsabilty of freeing the visitor is for + // the user + visitor = NULL; + + degree_.clear(); + num_vertices_ = 0; + + remove_blockers(); + + skeleton.clear(); + } + + /** + *@brief allows to change the visitor. + */ + void set_visitor(Visitor* other_visitor) { + visitor = other_visitor; + } + + //@} + + ///////////////////////////////////////////////////////////////////////////// + /** @name Vertices operations + */ + //@{ + public: + /** + * @brief Return a local Vertex_handle of a vertex given a global one. + * @remark Assume that the vertex is present in the complex. + */ + Vertex_handle operator[](Root_vertex_handle global) const { + auto local(get_address(global)); + assert(local); + return *local; + } + + /** + * @brief Return the vertex node associated to local Vertex_handle. + * @remark Assume that the vertex is present in the complex. + */ + Graph_vertex& operator[](Vertex_handle address) { + assert( + 0 <= address.vertex && address.vertex < boost::num_vertices(skeleton)); + return skeleton[address.vertex]; + } + + /** + * @brief Return the vertex node associated to local Vertex_handle. + * @remark Assume that the vertex is present in the complex. + */ + const Graph_vertex& operator[](Vertex_handle address) const { + assert( + 0 <= address.vertex && address.vertex < boost::num_vertices(skeleton)); + return skeleton[address.vertex]; + } + + /** + * @brief Adds a vertex to the simplicial complex and returns its Vertex_handle. + * @remark Vertex representation is contiguous. + */ + Vertex_handle add_vertex() { + Vertex_handle address(boost::add_vertex(skeleton)); + num_vertices_++; + (*this)[address].activate(); + // safe since we now that we are in the root complex and the field 'address' and 'id' + // are identical for every vertices + (*this)[address].set_id(Root_vertex_handle(address.vertex)); + degree_.push_back(0); + if (visitor) + visitor->on_add_vertex(address); + return address; + } + + /** + * @brief Remove a vertex from the simplicial complex + * @remark It just deactivates the vertex with a boolean flag but does not + * remove it from vertices from complexity issues. + */ + void remove_vertex(Vertex_handle address) { + assert(contains_vertex(address)); + // We remove b + boost::clear_vertex(address.vertex, skeleton); + (*this)[address].deactivate(); + num_vertices_--; + degree_[address.vertex] = -1; + if (visitor) + visitor->on_remove_vertex(address); + } + + /** + */ + bool contains_vertex(Vertex_handle u) const { + Vertex_handle num_vertices(boost::num_vertices(skeleton)); + if (u.vertex < 0 || u.vertex >= num_vertices) + return false; + return (*this)[u].is_active(); + } + + /** + */ + bool contains_vertex(Root_vertex_handle u) const { + boost::optional<Vertex_handle> address = get_address(u); + return address && (*this)[*address].is_active(); + } + + /** + * @return true iff the simplicial complex contains all vertices + * of simplex sigma + */ + bool contains_vertices(const Simplex & sigma) const { + for (auto vertex : sigma) + if (!contains_vertex(vertex)) + return false; + return true; + } + + /** + * @brief Given an Id return the address of the vertex having this Id in the complex. + * @remark For a simplicial complex, the address is the id but it may not be the case for a SubComplex. + */ + virtual boost::optional<Vertex_handle> get_address(Root_vertex_handle id) const { + boost::optional<Vertex_handle> res; + int num_vertices = boost::num_vertices(skeleton); + if (id.vertex < num_vertices) + res = Vertex_handle(id.vertex); + return res; + } + + /** + * return the id of a vertex of adress local present in the graph + */ + Root_vertex_handle get_id(Vertex_handle local) const { + assert(0 <= local.vertex && local.vertex < boost::num_vertices(skeleton)); + return (*this)[local].get_id(); + } + + /** + * @brief Convert an address of a vertex of a complex to the address in + * the current complex. + * @details + * If the current complex is a sub (or sup) complex of 'other', it converts + * the address of a vertex v expressed in 'other' to the address of the vertex + * v in the current one. + * @remark this methods uses Root_vertex_handle to identify the vertex and + * assumes the vertex is present in the current complex. + */ + Vertex_handle convert_handle_from_another_complex(const Skeleton_blocker_complex& other, + Vertex_handle vh_in_other) const { + auto vh_in_current_complex = get_address(other.get_id(vh_in_other)); + assert(vh_in_current_complex); + return *vh_in_current_complex; + } + + /** + * @brief return the graph degree of a vertex. + */ + int degree(Vertex_handle local) const { + assert(0 <= local.vertex && local.vertex < boost::num_vertices(skeleton)); + return degree_[local.vertex]; + } + + //@} + + ///////////////////////////////////////////////////////////////////////////// + /** @name Edges operations + */ + //@{ + public: + /** + * @brief return an edge handle if the two vertices forms + * an edge in the complex + */ + boost::optional<Edge_handle> operator[]( + const std::pair<Vertex_handle, Vertex_handle>& ab) const { + boost::optional<Edge_handle> res; + std::pair<Edge_handle, bool> edge_pair( + boost::edge(ab.first.vertex, ab.second.vertex, skeleton)); + if (edge_pair.second) + res = edge_pair.first; + return res; + } + + /** + * @brief returns the stored node associated to an edge + */ + Graph_edge& operator[](Edge_handle edge_handle) { + return skeleton[edge_handle]; + } + + /** + * @brief returns the stored node associated to an edge + */ + const Graph_edge& operator[](Edge_handle edge_handle) const { + return skeleton[edge_handle]; + } + + /** + * @brief returns the first vertex of an edge + * @details it assumes that the edge is present in the complex + */ + Vertex_handle first_vertex(Edge_handle edge_handle) const { + return static_cast<Vertex_handle> (source(edge_handle, skeleton)); + } + + /** + * @brief returns the first vertex of an edge + * @details it assumes that the edge is present in the complex + */ + Vertex_handle second_vertex(Edge_handle edge_handle) const { + return static_cast<Vertex_handle> (target(edge_handle, skeleton)); + } + + /** + * @brief returns the simplex made with the two vertices of the edge + * @details it assumes that the edge is present in the complex + + */ + Simplex get_vertices(Edge_handle edge_handle) const { + auto edge((*this)[edge_handle]); + return Simplex((*this)[edge.first()], (*this)[edge.second()]); + } + + /** + * @brief Adds an edge between vertices a and b. + * @details For instance, the complex contains edge 01 and 12, then calling + * add_edge with vertex 0 and 2 will create a complex containing + * the edges 01, 12, 20 but not the triangle 012 (and hence this complex + * will contains a blocker 012). + */ + Edge_handle add_edge(Vertex_handle a, Vertex_handle b) { + // if the edge is already there we musnt go further + // as we may add blockers that should not be here + if (contains_edge(a, b)) + return *((*this)[std::make_pair(a, b)]); + auto res = add_edge_without_blockers(a, b); + add_blockers_after_simplex_insertion(Simplex(a, b)); + return res; + } + + /** + * @brief Adds all edges of s in the complex. + */ + void add_edge(const Simplex& s) { + for (auto i = s.begin(); i != s.end(); ++i) + for (auto j = i; ++j != s.end(); /**/) + add_edge(*i, *j); + } + + /** + * @brief Adds an edge between vertices a and b without blockers. + * @details For instance, the complex contains edge 01 and 12, then calling + * add_edge with vertex 0 and 2 will create a complex containing + * the triangle 012. + */ + Edge_handle add_edge_without_blockers(Vertex_handle a, Vertex_handle b) { + assert(contains_vertex(a) && contains_vertex(b)); + assert(a != b); + + auto edge_handle((*this)[std::make_pair(a, b)]); + if (!edge_handle) { + edge_handle = boost::add_edge(a.vertex, b.vertex, skeleton).first; + (*this)[*edge_handle].setId(get_id(a), get_id(b)); + degree_[a.vertex]++; + degree_[b.vertex]++; + if (visitor) + visitor->on_add_edge_without_blockers(a, b); + } + return *edge_handle; + } + + /** + * @brief Adds all edges of s in the complex without adding blockers. + */ + void add_edge_without_blockers(Simplex s) { + for (auto i = s.begin(); i != s.end(); ++i) { + for (auto j = i; ++j != s.end(); /**/) + add_edge_without_blockers(*i, *j); + } + } + + /** + * @brief Removes an edge from the simplicial complex and all its cofaces. + * @details returns the former Edge_handle representing the edge + */ + virtual Edge_handle remove_edge(Vertex_handle a, Vertex_handle b) { + bool found; + Edge_handle edge; + tie(edge, found) = boost::edge(a.vertex, b.vertex, skeleton); + if (found) { + if (visitor) + visitor->on_remove_edge(a, b); + boost::remove_edge(a.vertex, b.vertex, skeleton); + degree_[a.vertex]--; + degree_[b.vertex]--; + } + return edge; + } + + /** + * @brief Removes edge and its cofaces from the simplicial complex. + */ + void remove_edge(Edge_handle edge) { + assert(contains_vertex(first_vertex(edge))); + assert(contains_vertex(second_vertex(edge))); + remove_edge(first_vertex(edge), second_vertex(edge)); + } + + /** + * @brief The complex is reduced to its set of vertices. + * All the edges and blockers are removed. + */ + void keep_only_vertices() { + remove_blockers(); + + for (auto u : vertex_range()) { + while (this->degree(u) > 0) { + Vertex_handle v(*(adjacent_vertices(u.vertex, this->skeleton).first)); + this->remove_edge(u, v); + } + } + } + + /** + * @return true iff the simplicial complex contains an edge between + * vertices a and b + */ + bool contains_edge(Vertex_handle a, Vertex_handle b) const { + // if (a.vertex<0 || b.vertex <0) return false; + return boost::edge(a.vertex, b.vertex, skeleton).second; + } + + /** + * @return true iff the simplicial complex contains all vertices + * and all edges of simplex sigma + */ + bool contains_edges(const Simplex & sigma) const { + for (auto i = sigma.begin(); i != sigma.end(); ++i) { + if (!contains_vertex(*i)) + return false; + for (auto j = i; ++j != sigma.end();) { + if (!contains_edge(*i, *j)) + return false; + } + } + return true; + } + //@} + + ///////////////////////////////////////////////////////////////////////////// + /** @name Blockers operations + */ + //@{ + + /** + * @brief Adds the simplex to the set of blockers and + * returns a Blocker_handle toward it if was not present before and 0 otherwise. + */ + Blocker_handle add_blocker(const Simplex& blocker) { + assert(blocker.dimension() > 1); + if (contains_blocker(blocker)) { + return 0; + } else { + if (visitor) + visitor->on_add_blocker(blocker); + Blocker_handle blocker_pt = new Simplex(blocker); + num_blockers_++; + auto vertex = blocker_pt->begin(); + while (vertex != blocker_pt->end()) { + blocker_map_.insert(BlockerPair(*vertex, blocker_pt)); + ++vertex; + } + return blocker_pt; + } + } + + protected: + /** + * @brief Adds the simplex to the set of blockers + */ + void add_blocker(Blocker_handle blocker) { + if (contains_blocker(*blocker)) { + // std::cerr << "ATTEMPT TO ADD A BLOCKER ALREADY THERE ---> BLOCKER IGNORED" << endl; + return; + } else { + if (visitor) + visitor->on_add_blocker(*blocker); + num_blockers_++; + auto vertex = blocker->begin(); + while (vertex != blocker->end()) { + blocker_map_.insert(BlockerPair(*vertex, blocker)); + ++vertex; + } + } + } + + protected: + /** + * Removes sigma from the blocker map of vertex v + */ + void remove_blocker(const Blocker_handle sigma, Vertex_handle v) { + Complex_blocker_around_vertex_iterator blocker; + for (blocker = blocker_range(v).begin(); blocker != blocker_range(v).end(); + ++blocker) { + if (*blocker == sigma) + break; + } + if (*blocker != sigma) { + std::cerr + << "bug ((*blocker).second == sigma) ie try to remove a blocker not present\n"; + assert(false); + } else { + blocker_map_.erase(blocker.current_position()); + } + } + + public: + /** + * @brief Removes the simplex from the set of blockers. + * @remark sigma has to belongs to the set of blockers + */ + void remove_blocker(const Blocker_handle sigma) { + for (auto vertex : *sigma) + remove_blocker(sigma, vertex); + num_blockers_--; + } + + /** + * @brief Remove all blockers, in other words, it expand the simplicial + * complex to the smallest flag complex that contains it. + */ + void remove_blockers() { + // Desallocate the blockers + while (!blocker_map_.empty()) { + delete_blocker(blocker_map_.begin()->second); + } + num_blockers_ = 0; + blocker_map_.clear(); + } + + protected: + /** + * Removes the simplex sigma from the set of blockers. + * sigma has to belongs to the set of blockers + * + * @remark contrarily to delete_blockers does not call the destructor + */ + void remove_blocker(const Simplex& sigma) { + assert(contains_blocker(sigma)); + for (auto vertex : sigma) + remove_blocker(sigma, vertex); + num_blockers_--; + } + + public: + /** + * Removes the simplex s from the set of blockers + * and desallocate s. + */ + void delete_blocker(Blocker_handle sigma) { + if (visitor) + visitor->on_delete_blocker(sigma); + remove_blocker(sigma); + delete sigma; + } + + /** + * @return true iff s is a blocker of the simplicial complex + */ + bool contains_blocker(const Blocker_handle s) const { + if (s->dimension() < 2) + return false; + + Vertex_handle a = s->first_vertex(); + + for (const auto blocker : const_blocker_range(a)) { + if (s == *blocker) + return true; + } + return false; + } + + /** + * @return true iff s is a blocker of the simplicial complex + */ + bool contains_blocker(const Simplex & s) const { + if (s.dimension() < 2) + return false; + + Vertex_handle a = s.first_vertex(); + + for (auto blocker : const_blocker_range(a)) { + if (s == *blocker) + return true; + } + return false; + } + + private: + /** + * @return true iff a blocker of the simplicial complex + * is a face of sigma. + */ + bool blocks(const Simplex & sigma) const { + for (auto s : sigma) + for (auto blocker : const_blocker_range(s)) + if (sigma.contains(*blocker)) + return true; + return false; + } + + //@} + + protected: + /** + * @details Adds to simplex the neighbours of v e.g. \f$ n \leftarrow n \cup N(v) \f$. + * If keep_only_superior is true then only vertices that are greater than v are added. + */ + virtual void add_neighbours(Vertex_handle v, Simplex & n, + bool keep_only_superior = false) const { + boost_adjacency_iterator ai, ai_end; + for (tie(ai, ai_end) = adjacent_vertices(v.vertex, skeleton); ai != ai_end; + ++ai) { + Vertex_handle value(*ai); + if (keep_only_superior) { + if (value > v.vertex) { + n.add_vertex(value); + } + } else { + n.add_vertex(value); + } + } + } + + /** + * @details Add to simplex res all vertices which are + * neighbours of alpha: ie \f$ res \leftarrow res \cup N(alpha) \f$. + * + * If 'keep_only_superior' is true then only vertices that are greater than alpha are added. + * todo revoir + * + */ + virtual void add_neighbours(const Simplex &alpha, Simplex & res, + bool keep_only_superior = false) const { + res.clear(); + auto alpha_vertex = alpha.begin(); + add_neighbours(*alpha_vertex, res, keep_only_superior); + for (alpha_vertex = (alpha.begin())++; alpha_vertex != alpha.end(); + ++alpha_vertex) + keep_neighbours(*alpha_vertex, res, keep_only_superior); + } + + /** + * @details Remove from simplex n all vertices which are + * not neighbours of v e.g. \f$ res \leftarrow res \cap N(v) \f$. + * If 'keep_only_superior' is true then only vertices that are greater than v are keeped. + */ + virtual void keep_neighbours(Vertex_handle v, Simplex& res, + bool keep_only_superior = false) const { + Simplex nv; + add_neighbours(v, nv, keep_only_superior); + res.intersection(nv); + } + + /** + * @details Remove from simplex all vertices which are + * neighbours of v eg \f$ res \leftarrow res \setminus N(v) \f$. + * If 'keep_only_superior' is true then only vertices that are greater than v are added. + */ + virtual void remove_neighbours(Vertex_handle v, Simplex & res, + bool keep_only_superior = false) const { + Simplex nv; + add_neighbours(v, nv, keep_only_superior); + res.difference(nv); + } + + public: + typedef Skeleton_blocker_link_complex<Skeleton_blocker_complex> Link_complex; + + /** + * Constructs the link of 'simplex' with points coordinates. + */ + Link_complex link(Vertex_handle v) const { + return Link_complex(*this, Simplex(v)); + } + + /** + * Constructs the link of 'simplex' with points coordinates. + */ + Link_complex link(Edge_handle edge) const { + return Link_complex(*this, edge); + } + + /** + * Constructs the link of 'simplex' with points coordinates. + */ + Link_complex link(const Simplex& simplex) const { + return Link_complex(*this, simplex); + } + + /** + * @brief Compute the local vertices of 's' in the current complex + * If one of them is not present in the complex then the return value is uninitialized. + * + * + */ + // xxx rename get_address et place un using dans sub_complex + + boost::optional<Simplex> get_simplex_address( + const Root_simplex_handle& s) const { + boost::optional<Simplex> res; + + Simplex s_address; + // Root_simplex_const_iterator i; + for (auto i = s.begin(); i != s.end(); ++i) { + boost::optional<Vertex_handle> address = get_address(*i); + if (!address) + return res; + else + s_address.add_vertex(*address); + } + res = s_address; + return res; + } + + /** + * @brief returns a simplex with vertices which are the id of vertices of the + * argument. + */ + Root_simplex_handle get_id(const Simplex& local_simplex) const { + Root_simplex_handle global_simplex; + for (auto x = local_simplex.begin(); x != local_simplex.end(); ++x) { + global_simplex.add_vertex(get_id(*x)); + } + return global_simplex; + } + + /** + * @brief returns true iff the simplex s belongs to the simplicial + * complex. + */ + virtual bool contains(const Simplex & s) const { + if (s.dimension() == -1) { + return false; + } else if (s.dimension() == 0) { + return contains_vertex(s.first_vertex()); + } else { + return (contains_edges(s) && !blocks(s)); + } + } + + /* + * @brief returnrs true iff the complex is empty. + */ + bool empty() const { + return num_vertices() == 0; + } + + /* + * @brief returns the number of vertices in the complex. + */ + int num_vertices() const { + // remark boost::num_vertices(skeleton) counts deactivated vertices + return num_vertices_; + } + + /* + * @brief returns the number of edges in the complex. + * @details currently in O(n) + */ + // todo cache the value + + int num_edges() const { + return boost::num_edges(skeleton); + } + + int num_triangles() const { + auto triangles = triangle_range(); + return std::distance(triangles.begin(), triangles.end()); + } + + /* + * @brief returns the number of simplices of a given dimension in the complex. + */ + size_t num_simplices() const { + auto simplices = complex_simplex_range(); + return std::distance(simplices.begin(), simplices.end()); + } + + /* + * @brief returns the number of simplices of a given dimension in the complex. + */ + size_t num_simplices(int dimension) const { + // TODO(DS): iterator on k-simplices + size_t res = 0; + for (const auto& s : complex_simplex_range()) + if (s.dimension() == dimension) + ++res; + return res; + } + + /* + * @brief returns the number of blockers in the complex. + */ + size_t num_blockers() const { + return num_blockers_; + } + + /* + * @brief returns true iff the graph of the 1-skeleton of the complex is complete. + */ + bool complete() const { + return (num_vertices() * (num_vertices() - 1)) / 2 == num_edges(); + } + + /** + * @brief returns the number of connected components in the graph of the 1-skeleton. + */ + int num_connected_components() const { + int num_vert_collapsed = skeleton.vertex_set().size() - num_vertices(); + std::vector<int> component(skeleton.vertex_set().size()); + return boost::connected_components(this->skeleton, &component[0]) + - num_vert_collapsed; + } + + /** + * @brief %Test if the complex is a cone. + * @details Runs in O(n) where n is the number of vertices. + */ + bool is_cone() const { + if (num_vertices() == 0) + return false; + if (num_vertices() == 1) + return true; + for (auto vi : vertex_range()) { + // xxx todo faire une methode bool is_in_blocker(Vertex_handle) + if (blocker_map_.find(vi) == blocker_map_.end()) { + // no blocker passes through the vertex, we just need to + // check if the current vertex is linked to all others vertices of the complex + if (degree_[vi.vertex] == num_vertices() - 1) + return true; + } + } + return false; + } + + //@} + /** @name Simplification operations + */ + //@{ + + /** + * Returns true iff the blocker 'sigma' is popable. + * To define popable, let us call 'L' the complex that + * consists in the current complex without the blocker 'sigma'. + * A blocker 'sigma' is then "popable" if the link of 'sigma' + * in L is reducible. + * + */ + bool is_popable_blocker(Blocker_handle sigma) const; + + /** + * Removes all the popable blockers of the complex and delete them. + * @returns the number of popable blockers deleted + */ + void remove_popable_blockers(); + + /** + * Removes all the popable blockers of the complex passing through v and delete them. + */ + void remove_popable_blockers(Vertex_handle v); + + /** + * @brief Removes all the popable blockers of the complex passing through v and delete them. + * Also remove popable blockers in the neighborhood if they became popable. + * + */ + void remove_all_popable_blockers(Vertex_handle v); + + /** + * Remove the star of the vertex 'v' + */ + void remove_star(Vertex_handle v); + + private: + /** + * after removing the star of a simplex, blockers sigma that contains this simplex must be removed. + * Furthermore, all simplices tau of the form sigma \setminus simplex_to_be_removed must be added + * whenever the dimension of tau is at least 2. + */ + void update_blockers_after_remove_star_of_vertex_or_edge(const Simplex& simplex_to_be_removed); + + public: + /** + * Remove the star of the edge connecting vertices a and b. + * @returns the number of blocker that have been removed + */ + void remove_star(Vertex_handle a, Vertex_handle b); + + /** + * Remove the star of the edge 'e'. + */ + void remove_star(Edge_handle e); + + /** + * Remove the star of the simplex 'sigma' which needs to belong to the complex + */ + void remove_star(const Simplex& sigma); + + /** + * @brief add a simplex and all its faces. + * @details the simplex must have dimension greater than one (otherwise use add_vertex or add_edge_without_blockers). + */ + void add_simplex(const Simplex& sigma); + + private: + void add_blockers_after_simplex_insertion(Simplex s); + + /** + * remove all blockers that contains sigma + */ + void remove_blocker_containing_simplex(const Simplex& sigma); + + /** + * remove all blockers that contains sigma + */ + void remove_blocker_include_in_simplex(const Simplex& sigma); + + public: + enum simplifiable_status { + NOT_HOMOTOPY_EQ, MAYBE_HOMOTOPY_EQ, HOMOTOPY_EQ + }; + + simplifiable_status is_remove_star_homotopy_preserving(const Simplex& simplex) { + // todo write a virtual method 'link' in Skeleton_blocker_complex which will be overloaded by the current one of + // Skeleton_blocker_geometric_complex + // then call it there to build the link and return the value of link.is_contractible() + return MAYBE_HOMOTOPY_EQ; + } + + enum contractible_status { + NOT_CONTRACTIBLE, MAYBE_CONTRACTIBLE, CONTRACTIBLE + }; + + /** + * @brief %Test if the complex is reducible using a strategy defined in the class + * (by default it tests if the complex is a cone) + * @details Note that NO could be returned if some invariant ensures that the complex + * is not a point (for instance if the euler characteristic is different from 1). + * This function will surely have to return MAYBE in some case because the + * associated problem is undecidable but it in practice, it can often + * be solved with the help of geometry. + */ + virtual contractible_status is_contractible() const { + if (this->is_cone()) { + return CONTRACTIBLE; + } else { + return MAYBE_CONTRACTIBLE; + } + } + //@} + + /** @name Edge contraction operations + */ + //@{ + + /** + * @return If ignore_popable_blockers is true + * then the result is true iff the link condition at edge ab is satisfied + * or equivalently iff no blocker contains ab. + * If ignore_popable_blockers is false then the + * result is true iff all blocker containing ab are popable. + */ + bool link_condition(Vertex_handle a, Vertex_handle b, bool ignore_popable_blockers = false) const { + for (auto blocker : this->const_blocker_range(a)) + if (blocker->contains(b)) { + // false if ignore_popable_blockers is false + // otherwise the blocker has to be popable + return ignore_popable_blockers && is_popable_blocker(blocker); + } + return true; + } + + /** + * @return If ignore_popable_blockers is true + * then the result is true iff the link condition at edge ab is satisfied + * or equivalently iff no blocker contains ab. + * If ignore_popable_blockers is false then the + * result is true iff all blocker containing ab are popable. + */ + bool link_condition(Edge_handle e, bool ignore_popable_blockers = false) const { + const Graph_edge& edge = (*this)[e]; + assert(this->get_address(edge.first())); + assert(this->get_address(edge.second())); + Vertex_handle a(*this->get_address(edge.first())); + Vertex_handle b(*this->get_address(edge.second())); + return link_condition(a, b, ignore_popable_blockers); + } + + protected: + /** + * Compute simplices beta such that a.beta is an order 0 blocker + * that may be used to construct a new blocker after contracting ab. + * It requires that the link condition is satisfied. + */ + void tip_blockers(Vertex_handle a, Vertex_handle b, std::vector<Simplex> & buffer) const; + + private: + /** + * @brief "Replace" the edge 'bx' by the edge 'ax'. + * Assume that the edge 'bx' was present whereas 'ax' was not. + * Precisely, it does not replace edges, but remove 'bx' and then add 'ax'. + * The visitor 'on_swaped_edge' is called just after edge 'ax' had been added + * and just before edge 'bx' had been removed. That way, it can + * eventually access to information of 'ax'. + */ + void swap_edge(Vertex_handle a, Vertex_handle b, Vertex_handle x); + + private: + /** + * @brief removes all blockers passing through the edge 'ab' + */ + void delete_blockers_around_vertex(Vertex_handle v); + + /** + * @brief removes all blockers passing through the edge 'ab' + */ + void delete_blockers_around_edge(Vertex_handle a, Vertex_handle b); + + public: + /** + * Contracts the edge. + * @remark If the link condition Link(ab) = Link(a) inter Link(b) is not satisfied, + * it removes first all blockers passing through 'ab' + */ + void contract_edge(Edge_handle edge) { + contract_edge(this->first_vertex(edge), this->second_vertex(edge)); + } + + /** + * Contracts the edge connecting vertices a and b. + * @remark If the link condition Link(ab) = Link(a) inter Link(b) is not satisfied, + * it removes first all blockers passing through 'ab' + */ + void contract_edge(Vertex_handle a, Vertex_handle b); + + private: + void get_blockers_to_be_added_after_contraction(Vertex_handle a, Vertex_handle b, + std::set<Simplex>& blockers_to_add); + /** + * delete all blockers that passes through a or b + */ + void delete_blockers_around_vertices(Vertex_handle a, Vertex_handle b); + void update_edges_after_contraction(Vertex_handle a, Vertex_handle b); + void notify_changed_edges(Vertex_handle a); + //@} + + public: + ///////////////////////////////////////////////////////////////////////////// + /** @name Vertex iterators + */ + //@{ + typedef Vertex_iterator<Skeleton_blocker_complex> Complex_vertex_iterator; + + // + // Range over the vertices of the simplicial complex. + // Methods .begin() and .end() return a Complex_vertex_iterator. + // + typedef boost::iterator_range<Complex_vertex_iterator> Complex_vertex_range; + + /** + * @brief Returns a Complex_vertex_range over all vertices of the complex + */ + Complex_vertex_range vertex_range() const { + auto begin = Complex_vertex_iterator(this); + auto end = Complex_vertex_iterator(this, 0); + return Complex_vertex_range(begin, end); + } + + typedef Neighbors_vertices_iterator<Skeleton_blocker_complex> Complex_neighbors_vertices_iterator; + + + typedef boost::iterator_range<Complex_neighbors_vertices_iterator> Complex_neighbors_vertices_range; + + /** + * @brief Returns a Complex_edge_range over all edges of the simplicial complex that passes trough v + */ + Complex_neighbors_vertices_range vertex_range(Vertex_handle v) const { + auto begin = Complex_neighbors_vertices_iterator(this, v); + auto end = Complex_neighbors_vertices_iterator(this, v, 0); + return Complex_neighbors_vertices_range(begin, end); + } + + //@} + + /** @name Edge iterators + */ + //@{ + + typedef Edge_iterator<Skeleton_blocker_complex> Complex_edge_iterator; + + + typedef boost::iterator_range<Complex_edge_iterator> Complex_edge_range; + + /** + * @brief Returns a Complex_edge_range over all edges of the simplicial complex + */ + Complex_edge_range edge_range() const { + auto begin = Complex_edge_iterator(this); + auto end = Complex_edge_iterator(this, 0); + return Complex_edge_range(begin, end); + } + + + typedef Edge_around_vertex_iterator<Skeleton_blocker_complex> Complex_edge_around_vertex_iterator; + + + typedef boost::iterator_range <Complex_edge_around_vertex_iterator> Complex_edge_around_vertex_range; + + /** + * @brief Returns a Complex_edge_range over all edges of the simplicial complex that passes + * through 'v' + */ + Complex_edge_around_vertex_range edge_range(Vertex_handle v) const { + auto begin = Complex_edge_around_vertex_iterator(this, v); + auto end = Complex_edge_around_vertex_iterator(this, v, 0); + return Complex_edge_around_vertex_range(begin, end); + } + + //@} + + /** @name Triangles iterators + */ + //@{ + private: + typedef Skeleton_blocker_link_complex<Skeleton_blocker_complex<SkeletonBlockerDS> > Link; + typedef Skeleton_blocker_link_superior<Skeleton_blocker_complex<SkeletonBlockerDS> > Superior_link; + + public: + typedef Triangle_around_vertex_iterator<Skeleton_blocker_complex, Superior_link> + Superior_triangle_around_vertex_iterator; + typedef boost::iterator_range < Triangle_around_vertex_iterator<Skeleton_blocker_complex, Link> > + Complex_triangle_around_vertex_range; + + /** + * @brief Range over triangles around a vertex of the simplicial complex. + * Methods .begin() and .end() return a Triangle_around_vertex_iterator. + * + */ + Complex_triangle_around_vertex_range triangle_range(Vertex_handle v) const { + auto begin = Triangle_around_vertex_iterator<Skeleton_blocker_complex, Link>(this, v); + auto end = Triangle_around_vertex_iterator<Skeleton_blocker_complex, Link>(this, v, 0); + return Complex_triangle_around_vertex_range(begin, end); + } + + typedef boost::iterator_range<Triangle_iterator<Skeleton_blocker_complex> > Complex_triangle_range; + typedef Triangle_iterator<Skeleton_blocker_complex> Complex_triangle_iterator; + + /** + * @brief Range over triangles of the simplicial complex. + * Methods .begin() and .end() return a Triangle_around_vertex_iterator. + * + */ + Complex_triangle_range triangle_range() const { + auto end = Triangle_iterator<Skeleton_blocker_complex>(this, 0); + if (empty()) { + return Complex_triangle_range(end, end); + } else { + auto begin = Triangle_iterator<Skeleton_blocker_complex>(this); + return Complex_triangle_range(begin, end); + } + } + + //@} + + /** @name Simplices iterators + */ + //@{ + typedef Simplex_around_vertex_iterator<Skeleton_blocker_complex, Link> Complex_simplex_around_vertex_iterator; + + /** + * @brief Range over the simplices of the simplicial complex around a vertex. + * Methods .begin() and .end() return a Complex_simplex_around_vertex_iterator. + */ + typedef boost::iterator_range < Complex_simplex_around_vertex_iterator > Complex_simplex_around_vertex_range; + + /** + * @brief Returns a Complex_simplex_around_vertex_range over all the simplices around a vertex of the complex + */ + Complex_simplex_around_vertex_range star_simplex_range(Vertex_handle v) const { + assert(contains_vertex(v)); + return Complex_simplex_around_vertex_range( + Complex_simplex_around_vertex_iterator(this, v), + Complex_simplex_around_vertex_iterator(this, v, true)); + } + typedef Simplex_coboundary_iterator<Skeleton_blocker_complex, Link> Complex_simplex_coboundary_iterator; + + /** + * @brief Range over the simplices of the coboundary of a simplex. + * Methods .begin() and .end() return a Complex_simplex_coboundary_iterator. + */ + typedef boost::iterator_range < Complex_simplex_coboundary_iterator > Complex_coboundary_range; + + /** + * @brief Returns a Complex_simplex_coboundary_iterator over the simplices of the coboundary of a simplex. + */ + Complex_coboundary_range coboundary_range(const Simplex& s) const { + assert(contains(s)); + return Complex_coboundary_range(Complex_simplex_coboundary_iterator(this, s), + Complex_simplex_coboundary_iterator(this, s, true)); + } + + // typedef Simplex_iterator<Skeleton_blocker_complex,Superior_link> Complex_simplex_iterator; + typedef Simplex_iterator<Skeleton_blocker_complex> Complex_simplex_iterator; + + typedef boost::iterator_range < Complex_simplex_iterator > Complex_simplex_range; + + /** + * @brief Returns a Complex_simplex_range over all the simplices of the complex + */ + Complex_simplex_range complex_simplex_range() const { + Complex_simplex_iterator end(this, true); + if (empty()) { + return Complex_simplex_range(end, end); + } else { + Complex_simplex_iterator begin(this); + return Complex_simplex_range(begin, end); + } + } + + //@} + + /** @name Blockers iterators + */ + //@{ + private: + /** + * @brief Iterator over the blockers adjacent to a vertex + */ + typedef Blocker_iterator_around_vertex_internal< + typename std::multimap<Vertex_handle, Simplex *>::iterator, + Blocker_handle> + Complex_blocker_around_vertex_iterator; + + /** + * @brief Iterator over (constant) blockers adjacent to a vertex + */ + typedef Blocker_iterator_around_vertex_internal< + typename std::multimap<Vertex_handle, Simplex *>::const_iterator, + const Blocker_handle> + Const_complex_blocker_around_vertex_iterator; + + typedef boost::iterator_range <Complex_blocker_around_vertex_iterator> Complex_blocker_around_vertex_range; + typedef boost::iterator_range <Const_complex_blocker_around_vertex_iterator> + Const_complex_blocker_around_vertex_range; + + public: + /** + * @brief Returns a range of the blockers of the complex passing through a vertex + */ + Complex_blocker_around_vertex_range blocker_range(Vertex_handle v) { + auto begin = Complex_blocker_around_vertex_iterator(blocker_map_.lower_bound(v)); + auto end = Complex_blocker_around_vertex_iterator(blocker_map_.upper_bound(v)); + return Complex_blocker_around_vertex_range(begin, end); + } + + /** + * @brief Returns a range of the blockers of the complex passing through a vertex + */ + Const_complex_blocker_around_vertex_range const_blocker_range(Vertex_handle v) const { + auto begin = Const_complex_blocker_around_vertex_iterator(blocker_map_.lower_bound(v)); + auto end = Const_complex_blocker_around_vertex_iterator(blocker_map_.upper_bound(v)); + return Const_complex_blocker_around_vertex_range(begin, end); + } + + private: + /** + * @brief Iterator over the blockers. + */ + typedef Blocker_iterator_internal< + typename std::multimap<Vertex_handle, Simplex *>::iterator, + Blocker_handle> + Complex_blocker_iterator; + + /** + * @brief Iterator over the (constant) blockers. + */ + typedef Blocker_iterator_internal< + typename std::multimap<Vertex_handle, Simplex *>::const_iterator, + const Blocker_handle> + Const_complex_blocker_iterator; + + typedef boost::iterator_range <Complex_blocker_iterator> Complex_blocker_range; + typedef boost::iterator_range <Const_complex_blocker_iterator> Const_complex_blocker_range; + + public: + /** + * @brief Returns a range of the blockers of the complex + */ + Complex_blocker_range blocker_range() { + auto begin = Complex_blocker_iterator(blocker_map_.begin(), blocker_map_.end()); + auto end = Complex_blocker_iterator(blocker_map_.end(), blocker_map_.end()); + return Complex_blocker_range(begin, end); + } + + /** + * @brief Returns a range of the blockers of the complex + */ + Const_complex_blocker_range const_blocker_range() const { + auto begin = Const_complex_blocker_iterator(blocker_map_.begin(), blocker_map_.end()); + auto end = Const_complex_blocker_iterator(blocker_map_.end(), blocker_map_.end()); + return Const_complex_blocker_range(begin, end); + } + + //@} + + ///////////////////////////////////////////////////////////////////////////// + /** @name Print and IO methods + */ + //@{ + public: + std::string to_string() const { + std::ostringstream stream; + stream << num_vertices() << " vertices:\n" << vertices_to_string() << std::endl; + stream << num_edges() << " edges:\n" << edges_to_string() << std::endl; + stream << num_blockers() << " blockers:\n" << blockers_to_string() << std::endl; + return stream.str(); + } + + std::string vertices_to_string() const { + std::ostringstream stream; + for (auto vertex : vertex_range()) { + stream << "{" << (*this)[vertex].get_id() << "} "; + } + stream << std::endl; + return stream.str(); + } + + std::string edges_to_string() const { + std::ostringstream stream; + for (auto edge : edge_range()) + stream << "{" << (*this)[edge].first() << "," << (*this)[edge].second() << "} "; + stream << std::endl; + return stream.str(); + } + + std::string blockers_to_string() const { + std::ostringstream stream; + + for (auto b : const_blocker_range()) + stream << *b << std::endl; + return stream.str(); + } + //@} +}; + +/** + * build a simplicial complex from a collection + * of top faces. + * return the total number of simplices + */ +template<typename Complex, typename SimplexHandleIterator> +Complex make_complex_from_top_faces(SimplexHandleIterator simplices_begin, SimplexHandleIterator simplices_end, + bool is_flag_complex = false) { + // TODO(DS): use add_simplex instead! should be more efficient and more elegant :) + typedef typename Complex::Simplex Simplex; + std::vector<Simplex> simplices; + for (auto top_face = simplices_begin; top_face != simplices_end; ++top_face) { + auto subfaces_topface = subfaces(*top_face); + simplices.insert(simplices.end(), subfaces_topface.begin(), subfaces_topface.end()); + } + return Complex(simplices.begin(), simplices.end(), is_flag_complex); +} + +} // namespace skeleton_blocker + +namespace skbl = skeleton_blocker; + +} // namespace Gudhi + +#include "Skeleton_blocker_simplifiable_complex.h" + +#endif // SKELETON_BLOCKER_COMPLEX_H_ |