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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): Siargey Kachanovich
- *
- * Copyright (C) 2015 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 STRONG_WITNESS_COMPLEX_H_
-#define STRONG_WITNESS_COMPLEX_H_
-
-#include <gudhi/Active_witness/Active_witness.h>
-
-#include <utility>
-#include <vector>
-#include <list>
-#include <limits>
-
-namespace Gudhi {
-
-namespace witness_complex {
-
- /**
- * \private
- * \class Strong_witness_complex
- * \brief Constructs strong witness complex for a given table of nearest landmarks with respect to witnesses.
- * \ingroup witness_complex
- *
- * \tparam Nearest_landmark_table_ needs to be a range of a range of pairs of nearest landmarks and distances.
- * The class Nearest_landmark_table_::value_type must be a copiable range.
- * The range of pairs must admit a member type 'iterator'. The dereference type
- * of the pair range iterator needs to be 'std::pair<std::size_t, double>'.
- */
-template< class Nearest_landmark_table_ >
-class Strong_witness_complex {
- private:
- typedef typename Nearest_landmark_table_::value_type Nearest_landmark_range;
- typedef std::size_t Witness_id;
- typedef std::size_t Landmark_id;
- typedef std::pair<Landmark_id, double> Id_distance_pair;
- typedef Active_witness<Id_distance_pair, Nearest_landmark_range> ActiveWitness;
- typedef std::list< ActiveWitness > ActiveWitnessList;
- typedef std::vector< Landmark_id > typeVectorVertex;
- typedef std::vector<Nearest_landmark_range> Nearest_landmark_table_internal;
- typedef Landmark_id Vertex_handle;
-
- protected:
- Nearest_landmark_table_internal nearest_landmark_table_;
-
- public:
- /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
- /* @name Constructor
- */
-
- //@{
-
- Strong_witness_complex() {
- }
-
- /**
- * \brief Initializes member variables before constructing simplicial complex.
- * \details Records nearest landmark table.
- * @param[in] nearest_landmark_table needs to be a range of a range of pairs of nearest landmarks and distances.
- * The class Nearest_landmark_table_::value_type must be a copiable range.
- * The range of pairs must admit a member type 'iterator'. The dereference type
- * of the pair range iterator needs to be 'std::pair<std::size_t, double>'.
- */
- Strong_witness_complex(Nearest_landmark_table_ const & nearest_landmark_table)
- : nearest_landmark_table_(std::begin(nearest_landmark_table), std::end(nearest_landmark_table)) {
- }
-
- /** \brief Outputs the strong witness complex of relaxation 'max_alpha_square'
- * in a simplicial complex data structure.
- * \details The function returns true if the construction is successful and false otherwise.
- * @param[out] complex Simplicial complex data structure, which is a model of
- * SimplicialComplexForWitness concept.
- * @param[in] max_alpha_square Maximal squared relaxation parameter.
- * @param[in] limit_dimension Represents the maximal dimension of the simplicial complex
- * (default value = no limit).
- */
- template < typename SimplicialComplexForWitness >
- bool create_complex(SimplicialComplexForWitness& complex,
- double max_alpha_square,
- Landmark_id limit_dimension = std::numeric_limits<Landmark_id>::max()) const {
- Landmark_id complex_dim = 0;
- if (complex.num_vertices() > 0) {
- std::cerr << "Strong witness complex cannot create complex - complex is not empty.\n";
- return false;
- }
- if (max_alpha_square < 0) {
- std::cerr << "Strong witness complex cannot create complex - squared relaxation parameter must be "
- << "non-negative.\n";
- return false;
- }
- for (auto w : nearest_landmark_table_) {
- ActiveWitness aw(w);
- typeVectorVertex simplex;
- typename ActiveWitness::iterator aw_it = aw.begin();
- float lim_dist2 = aw.begin()->second + max_alpha_square;
- while ((Landmark_id)simplex.size() <= limit_dimension && aw_it != aw.end() && aw_it->second < lim_dist2) {
- simplex.push_back(aw_it->first);
- complex.insert_simplex_and_subfaces(simplex, aw_it->second - aw.begin()->second);
- aw_it++;
- }
- // continue inserting limD-faces of the following simplices
- typeVectorVertex& vertices = simplex; // 'simplex' now will be called vertices
- while (aw_it != aw.end() && aw_it->second < lim_dist2) {
- typeVectorVertex facet = {};
- add_all_faces_of_dimension(limit_dimension, vertices, vertices.begin(), aw_it,
- aw_it->second - aw.begin()->second, facet, complex);
- vertices.push_back(aw_it->first);
- aw_it++;
- }
- if ((Landmark_id)simplex.size() - 1 > complex_dim)
- complex_dim = simplex.size() - 1;
- }
- return true;
- }
-
- //@}
-
- private:
- /* \brief Adds recursively all the faces of a certain dimension dim-1 witnessed by the same witness.
- * Iterator is needed to know until how far we can take landmarks to form simplexes.
- * simplex is the prefix of the simplexes to insert.
- * The landmark pointed by aw_it is added to all formed simplices.
- */
- template < typename SimplicialComplexForWitness >
- void add_all_faces_of_dimension(Landmark_id dim,
- typeVectorVertex& vertices,
- typename typeVectorVertex::iterator curr_it,
- typename ActiveWitness::iterator aw_it,
- double filtration_value,
- typeVectorVertex& simplex,
- SimplicialComplexForWitness& sc) const {
- if (dim > 0) {
- while (curr_it != vertices.end()) {
- simplex.push_back(*curr_it);
- ++curr_it;
- add_all_faces_of_dimension(dim-1,
- vertices,
- curr_it,
- aw_it,
- filtration_value,
- simplex,
- sc);
- simplex.pop_back();
- add_all_faces_of_dimension(dim,
- vertices,
- curr_it,
- aw_it,
- filtration_value,
- simplex,
- sc);
- }
- } else if (dim == 0) {
- simplex.push_back(aw_it->first);
- sc.insert_simplex_and_subfaces(simplex, filtration_value);
- simplex.pop_back();
- }
- }
-};
-
-} // namespace witness_complex
-
-} // namespace Gudhi
-
-#endif // STRONG_WITNESS_COMPLEX_H_