1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
|
/* This file is part of the Gudhi hiLibrary. 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 PERSISTENCE_INTERVALS_WITH_DISTANCES_H_
#define PERSISTENCE_INTERVALS_WITH_DISTANCES_H_
#include <gudhi/Persistence_intervals.h>
#include <gudhi/Bottleneck.h>
#include <limits>
namespace Gudhi {
namespace Persistence_representations {
class Persistence_intervals_with_distances : public Persistence_intervals {
public:
using Persistence_intervals::Persistence_intervals;
/**
*Computations of distance from the current persistnce diagram to the persistence diagram given as a parameter of this
*function.
*The last but one parameter, power, is here in case we would like to compute p=th Wasserstein distance. At the
*moment, this method only implement Bottleneck distance,
* which is infinity Wasserstein distance. Therefore any power which is not the default std::numeric_limits< double
*>::max() will be ignored and an
* exception will be thrown.
* The last parameter, tolerance, it is an additiv error of the approimation, set by default to zero.
**/
double distance(const Persistence_intervals_with_distances& second, double power = std::numeric_limits<double>::max(),
double tolerance = (std::numeric_limits<double>::min)()) const {
if (power >= std::numeric_limits<double>::max()) {
return Gudhi::persistence_diagram::bottleneck_distance(this->intervals, second.intervals, tolerance);
} else {
std::cerr << "At the moment Gudhi do not support Wasserstein distances. We only support Bottleneck distance."
<< std::endl;
throw "At the moment Gudhi do not support Wasserstein distances. We only support Bottleneck distance.";
}
}
};
} // namespace Persistence_representations
} // namespace Gudhi
#endif // PERSISTENCE_INTERVALS_WITH_DISTANCES_H_
|
