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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/>.
+ */
+
+#include <gudhi/Persistence_vectors.h>
+
+#include <iostream>
+#include <vector>
+#include <cmath>
+#include <iomanip>
+#include <limits>
+#include <utility>
+
+using Vector_distances_in_diagram =
+ Gudhi::Persistence_representations::Vector_distances_in_diagram<Gudhi::Euclidean_distance>;
+
+int main(int argc, char** argv) {
+ // create two simple vectors with birth--death pairs:
+
+ std::vector<std::pair<double, double> > persistence1;
+ std::vector<std::pair<double, double> > persistence2;
+
+ persistence1.push_back(std::make_pair(1, 2));
+ persistence1.push_back(std::make_pair(6, 8));
+ persistence1.push_back(std::make_pair(0, 4));
+ persistence1.push_back(std::make_pair(3, 8));
+
+ persistence2.push_back(std::make_pair(2, 9));
+ persistence2.push_back(std::make_pair(1, 6));
+ persistence2.push_back(std::make_pair(3, 5));
+ persistence2.push_back(std::make_pair(6, 10));
+
+ // create two persistence vectors based on persistence1 and persistence2:
+ Vector_distances_in_diagram v1(persistence1, std::numeric_limits<size_t>::max());
+ Vector_distances_in_diagram v2(persistence2, std::numeric_limits<size_t>::max());
+
+ // writing to a stream:
+ std::cout << "v1 : " << v1 << std::endl;
+ std::cout << "v2 : " << v2 << std::endl;
+
+ // averages:
+ Vector_distances_in_diagram average;
+ average.compute_average({&v1, &v2});
+ std::cout << "Average : " << average << std::endl;
+
+ // computations of distances:
+ std::cout << "l^1 distance : " << v1.distance(v2) << std::endl;
+
+ // computations of scalar product:
+ std::cout << "Scalar product of l1 and l2 : " << v1.compute_scalar_product(v2) << std::endl;
+
+ // create a file with a gnuplot script:
+ v1.plot("plot_of_vector_representation");
+
+ return 0;
+}