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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): 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 <http://www.gnu.org/licenses/>.
*/
#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<double>::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_
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