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-/* 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): David Salinas
- *
- * Copyright (C) 2014 Inria
- *
- * 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 SKELETON_BLOCKER_LINK_COMPLEX_H_
-#define SKELETON_BLOCKER_LINK_COMPLEX_H_
-
-#include <gudhi/Skeleton_blocker_complex.h>
-#include <gudhi/Debug_utils.h>
-
-namespace Gudhi {
-
-namespace skeleton_blocker {
-
-template<class ComplexType> class Skeleton_blocker_sub_complex;
-
-/**
- * \brief Class representing the link of a simplicial complex encoded by a skeleton/blockers pair.
- * It inherits from Skeleton_blocker_sub_complex because such complex is a sub complex of a
- * root complex.
- * \ingroup skbl
- */
-template<typename ComplexType>
-class Skeleton_blocker_link_complex : public Skeleton_blocker_sub_complex<
-ComplexType> {
- template<typename T> friend class Skeleton_blocker_link_superior;
- typedef typename ComplexType::Edge_handle Edge_handle;
-
- typedef typename ComplexType::boost_vertex_handle boost_vertex_handle;
-
- private:
- bool only_superior_vertices_;
-
- public:
- typedef typename ComplexType::Vertex_handle Vertex_handle;
- typedef typename ComplexType::Root_vertex_handle Root_vertex_handle;
-
- typedef typename ComplexType::Simplex Simplex;
- typedef typename ComplexType::Root_simplex_handle Root_simplex_handle;
-
- typedef typename ComplexType::Blocker_handle Blocker_handle;
-
- typedef typename ComplexType::Root_simplex_handle::Simplex_vertex_const_iterator Root_simplex_handle_iterator;
-
- explicit Skeleton_blocker_link_complex(bool only_superior_vertices = false)
- : only_superior_vertices_(only_superior_vertices) { }
-
- /**
- * If the parameter only_superior_vertices is true,
- * only vertices greater than the one of alpha are added.
- * Only vertices are computed if only_vertices is true.
- */
- Skeleton_blocker_link_complex(const ComplexType & parent_complex,
- const Simplex& alpha_parent_adress,
- bool only_superior_vertices = false,
- bool only_vertices = false)
- : only_superior_vertices_(only_superior_vertices) {
- if (!alpha_parent_adress.empty())
- build_link(parent_complex, alpha_parent_adress, only_vertices);
- }
-
- /**
- * If the parameter only_superior_vertices is true,
- * only vertices greater than the one of the vertex are added.
- */
- Skeleton_blocker_link_complex(const ComplexType & parent_complex,
- Vertex_handle a_parent_adress,
- bool only_superior_vertices = false)
- : only_superior_vertices_(only_superior_vertices) {
- Simplex alpha_simplex(a_parent_adress);
- build_link(parent_complex, alpha_simplex);
- }
-
- /**
- * If the parameter only_superior_vertices is true,
- * only vertices greater than the one of the edge are added.
- */
- Skeleton_blocker_link_complex(const ComplexType & parent_complex,
- Edge_handle edge, bool only_superior_vertices =
- false)
- : only_superior_vertices_(only_superior_vertices) {
- Simplex alpha_simplex(parent_complex.first_vertex(edge),
- parent_complex.second_vertex(edge));
- build_link(parent_complex, alpha_simplex);
- }
-
- protected:
- /**
- * @brief compute vertices of the link.
- * If the boolean only_superior_vertices is true, then only the vertices
- * are greater than vertices of alpha_parent_adress are added.
- */
- void compute_link_vertices(const ComplexType & parent_complex,
- const Simplex& alpha_parent_adress,
- bool only_superior_vertices,
- bool is_alpha_blocker = false) {
- if (alpha_parent_adress.dimension() == 0) {
- // for a vertex we know exactly the number of vertices of the link (and the size of the corresponding vector)
- // thus we call a specific function that will reserve a vector with appropriate size
- this->compute_link_vertices(parent_complex,
- alpha_parent_adress.first_vertex(),
- only_superior_vertices_);
- } else {
- // we compute the intersection of neighbors of alpha and store it in link_vertices
- Simplex link_vertices_parent;
- parent_complex.add_neighbours(alpha_parent_adress, link_vertices_parent,
- only_superior_vertices);
- // For all vertex 'v' in this intersection, we go through all its adjacent blockers.
- // If one blocker minus 'v' is included in alpha then the vertex is not in the link complex.
- for (auto v_parent : link_vertices_parent) {
- bool new_vertex = true;
- for (auto beta : parent_complex.const_blocker_range(v_parent)) {
- if (!is_alpha_blocker || *beta != alpha_parent_adress) {
- new_vertex = !(alpha_parent_adress.contains_difference(*beta,
- v_parent));
- if (!new_vertex)
- break;
- }
- }
- if (new_vertex)
- this->add_vertex(parent_complex.get_id(v_parent));
- }
- }
- }
-
- /**
- * @brief compute vertices of the link.
- * If the boolean only_superior_vertices is true, then only the vertices
- * are greater than vertices of alpha_parent_adress are added.
- */
- void compute_link_vertices(const ComplexType & parent_complex,
- Vertex_handle alpha_parent_adress,
- bool only_superior_vertices) {
- // for a vertex we know exactly the number of vertices of the link (and the size of the corresponding vector
- this->skeleton.m_vertices.reserve(
- parent_complex.degree(alpha_parent_adress));
-
- // For all vertex 'v' in this intersection, we go through all its adjacent blockers.
- // If one blocker minus 'v' is included in alpha then the vertex is not in the link complex.
- for (auto v_parent : parent_complex.vertex_range(alpha_parent_adress)) {
- if (!only_superior_vertices
- || v_parent.vertex > alpha_parent_adress.vertex)
- this->add_vertex(parent_complex.get_id(v_parent));
- }
- }
-
- void compute_link_edges(const ComplexType & parent_complex,
- const Simplex& alpha_parent_adress,
- bool is_alpha_blocker = false) {
- if (this->num_vertices() <= 1)
- return;
-
- for (auto x_link = this->vertex_range().begin();
- x_link != this->vertex_range().end(); ++x_link) {
- for (auto y_link = x_link; ++y_link != this->vertex_range().end();) {
- Vertex_handle x_parent = *parent_complex.get_address(
- this->get_id(*x_link));
- Vertex_handle y_parent = *parent_complex.get_address(
- this->get_id(*y_link));
- if (parent_complex.contains_edge(x_parent, y_parent)) {
- // we check that there is no blocker subset of alpha passing trough x and y
- bool new_edge = true;
- for (auto blocker_parent : parent_complex.const_blocker_range(
- x_parent)) {
- if (!is_alpha_blocker || *blocker_parent != alpha_parent_adress) {
- if (blocker_parent->contains(y_parent)) {
- new_edge = !(alpha_parent_adress.contains_difference(
- *blocker_parent, x_parent, y_parent));
- if (!new_edge)
- break;
- }
- }
- }
- if (new_edge)
- this->add_edge_without_blockers(*x_link, *y_link);
- }
- }
- }
- }
-
- /**
- * @brief : Given an address in the current complex, it returns the
- * corresponding address in 'other_complex'.
- * It assumes that other_complex have a vertex 'this.get_id(address)'
- */
- boost::optional<Vertex_handle> give_equivalent_vertex(const ComplexType & other_complex,
- Vertex_handle address) const {
- Root_vertex_handle id((*this)[address].get_id());
- return other_complex.get_address(id);
- }
-
- /*
- * compute the blockers of the link if is_alpha_blocker is false.
- * Otherwise, alpha is a blocker, and the link is computed in the complex where
- * the blocker is anticollapsed.
- */
- void compute_link_blockers(const ComplexType & parent_complex,
- const Simplex& alpha_parent,
- bool is_alpha_blocker = false) {
- for (auto x_link : this->vertex_range()) {
- Vertex_handle x_parent = *this->give_equivalent_vertex(parent_complex,
- x_link);
-
- for (auto blocker_parent : parent_complex.const_blocker_range(x_parent)) {
- if (!is_alpha_blocker || *blocker_parent != alpha_parent) {
- Simplex sigma_parent(*blocker_parent);
-
- sigma_parent.difference(alpha_parent);
-
- if (sigma_parent.dimension() >= 2
- && sigma_parent.first_vertex() == x_parent) {
- Root_simplex_handle sigma_id(parent_complex.get_id(sigma_parent));
- auto sigma_link = this->get_simplex_address(sigma_id);
- // ie if the vertices of sigma are vertices of the link
- if (sigma_link) {
- bool is_new_blocker = true;
- for (auto a : alpha_parent) {
- for (auto eta_parent : parent_complex.const_blocker_range(a)) {
- if (!is_alpha_blocker || *eta_parent != alpha_parent) {
- Simplex eta_minus_alpha(*eta_parent);
- eta_minus_alpha.difference(alpha_parent);
- if (eta_minus_alpha != sigma_parent
- && sigma_parent.contains_difference(*eta_parent,
- alpha_parent)) {
- is_new_blocker = false;
- break;
- }
- }
- }
- if (!is_new_blocker)
- break;
- }
- if (is_new_blocker)
- this->add_blocker(new Simplex(*sigma_link));
- }
- }
- }
- }
- }
- }
-
- public:
- /**
- * @brief compute vertices, edges and blockers of the link.
- * @details If the boolean only_superior_vertices is true, then the link is computed only
- * with vertices that are greater than vertices of alpha_parent_adress.
- */
- void build_link(const ComplexType & parent_complex,
- const Simplex& alpha_parent_adress,
- bool is_alpha_blocker = false,
- bool only_vertices = false) {
- assert(is_alpha_blocker || parent_complex.contains(alpha_parent_adress));
- compute_link_vertices(parent_complex, alpha_parent_adress, only_superior_vertices_);
- if (!only_vertices) {
- compute_link_edges(parent_complex, alpha_parent_adress, is_alpha_blocker);
- compute_link_blockers(parent_complex, alpha_parent_adress, is_alpha_blocker);
- }
- }
-
- /**
- * @brief build the link of a blocker which is the link
- * of the blocker's simplex if this simplex had been
- * removed from the blockers of the complex.
- */
- friend void build_link_of_blocker(const ComplexType & parent_complex,
- Simplex& blocker,
- Skeleton_blocker_link_complex & result) {
- assert(blocker.dimension() >= 2);
- assert(parent_complex.contains_blocker(blocker));
- result.clear();
- result.build_link(parent_complex, blocker, true);
- }
-};
-
-} // namespace skeleton_blocker
-
-namespace skbl = skeleton_blocker;
-
-} // namespace Gudhi
-
-#endif // SKELETON_BLOCKER_LINK_COMPLEX_H_