/* 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 CONCEPT_ALPHA_COMPLEX_SIMPLICIAL_COMPLEX_FOR_ALPHA_H_ #define CONCEPT_ALPHA_COMPLEX_SIMPLICIAL_COMPLEX_FOR_ALPHA_H_ namespace Gudhi { namespace alpha_complex { /** \brief The concept SimplicialComplexForAlpha describes the requirements for a type to implement a simplicial * complex, that can be created from a `Alpha_complex`. */ struct SimplicialComplexForAlpha { /** Handle to specify a simplex. */ typedef unspecified Simplex_handle; /** Handle to specify a vertex. Must be a non-negative integer. */ typedef unspecified Vertex_handle; /** Handle to specify the simplex filtration value. */ typedef unspecified Filtration_value; /** Returns the number of vertices in the simplicial complex. */ std::size_t num_vertices(); /** Gets the 'simplex' dimension. */ int dimension(Simplex_handle simplex); /** Assigns the 'simplex' with the given 'filtration' value. */ int assign_filtration(Simplex_handle simplex, Filtration_value filtration); /** \brief Inserts a simplex with vertices from a given simplex (represented by a vector of Vertex_handle) in the * simplicial complex with the given 'filtration' value. */ void insert_simplex_and_subfaces(std::vector const & vertex_range, Filtration_value filtration); /** Browses the simplicial complex to make the filtration non-decreasing. */ void make_filtration_non_decreasing(); /** Prune the simplicial complex above 'filtration' value given as parameter. */ void prune_above_filtration(Filtration_value filtration); /** \brief Iterator over vertices of a simplex. * * 'value type' must be 'Vertex_handle'.*/ typedef unspecified Simplex_vertex_range; /** \brief Returns a range over vertices of a given simplex. */ Simplex_vertex_range simplex_vertex_range(Simplex_handle const & simplex); /** \brief Iterator over the boundaries of the complex, in an arbitrary order. * * 'value_type' must be 'Simplex_handle'.*/ typedef unspecified Boundary_simplex_range; /** \brief Returns a range over boundaries of a given simplex. */ Boundary_simplex_range boundary_simplex_range(Simplex_handle const & simplex); /** \brief Iterator over the simplices of the skeleton of the complex, for a given dimension. * * 'value_type' must be 'Simplex_handle'. */ typedef unspecified Skeleton_simplex_range; /** \brief Returns a range over the simplices of the skeleton of the simplicial complex, for a given * dimension. */ Skeleton_simplex_range skeleton_simplex_range; /** \brief Return type of an insertion of a simplex */ typedef unspecified Insertion_result_type; /** \name Map interface * Conceptually a `std::unordered_map`. * @{ */ /** \brief Data stored for each simplex. * * Must be an integer type. */ typedef unspecified Simplex_key; /** \brief Returns a constant dummy number that is either negative, * or at least as large as the number of simplices. Suggested value: -1. */ Simplex_key null_key (); /** \brief Returns the number stored for a simplex by `assign_key()`. * * If `assign_key()` has not been called, it must return `null_key()`. */ Simplex_key key ( Simplex_handle sh ); /** \brief Store a number for a simplex, which can later be retrieved with `key()`. */ void assign_key(Simplex_handle sh, Simplex_key n); /** @} */ }; } // namespace alpha_complex } // namespace Gudhi #endif // CONCEPT_ALPHA_COMPLEX_SIMPLICIAL_COMPLEX_FOR_ALPHA_H_