/* 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): Pawel Dlotko * * Copyright (C) 2016 INRIA (France) * * 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 . */ #ifndef CONCEPT_TOPOLOGICAL_DATA_WITH_DISTANCES_H_ #define CONCEPT_TOPOLOGICAL_DATA_WITH_DISTANCES_H_ namespace Gudhi { namespace Persistence_representations { /** \brief The concept Topological_data_with_distances describes the requirements * for a type to implement a container that allows computations of distance to another contained of that type. * \details * The second parameter of the distance function allow to declare power of a distance. The exact meaning of that * number will be different for different distances. A few examples are given below: * In case of p-Wasserstein distance, the power is equal to p. power = std::limit::max() for bottleneck * distance. * * In case of L^p landscape distance, the power is equal to p. s */ class Topological_data_with_distances { public: double distance(const Topological_data_with_distances& second, double power = 1); }; } // namespace Persistence_representations } // namespace Gudhi #endif // CONCEPT_TOPOLOGICAL_DATA_WITH_DISTANCES_H_