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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): Siargey Kachanovich
+ *
+ * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (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 LANDMARK_CHOICE_BY_RANDOM_KNN_H_
+#define LANDMARK_CHOICE_BY_RANDOM_KNN_H_
+
+#include <utility> // for pair<>
+#include <vector>
+#include <cstddef> // for ptrdiff_t type
+
+//#include <CGAL/Cartesian_d.h>
+#include <CGAL/Search_traits.h>
+#include <CGAL/Search_traits_adapter.h>
+//#include <CGAL/property_map.h>
+#include <CGAL/Epick_d.h>
+#include <CGAL/Orthogonal_incremental_neighbor_search.h>
+#include <CGAL/Orthogonal_k_neighbor_search.h>
+#include <CGAL/Kd_tree.h>
+#include <CGAL/Euclidean_distance.h>
+//#include <CGAL/Kernel_d/Vector_d.h>
+#include <CGAL/Random.h>
+
+
+namespace Gudhi {
+
+namespace witness_complex {
+
+typedef CGAL::Epick_d<CGAL::Dynamic_dimension_tag> K;
+typedef K::FT FT;
+typedef K::Point_d Point_d;
+typedef CGAL::Search_traits< FT,
+ Point_d,
+ typename K::Cartesian_const_iterator_d,
+ typename K::Construct_cartesian_const_iterator_d > Traits_base;
+typedef CGAL::Euclidean_distance<Traits_base> Euclidean_distance;
+typedef CGAL::Search_traits_adapter< std::ptrdiff_t,
+ Point_d*,
+ Traits_base> STraits;
+typedef CGAL::Distance_adapter< std::ptrdiff_t,
+ Point_d*,
+ Euclidean_distance > Distance_adapter;
+typedef CGAL::Orthogonal_incremental_neighbor_search< STraits,
+ Distance_adapter > Neighbor_search;
+ typedef CGAL::Orthogonal_k_neighbor_search< STraits > Neighbor_search2;
+typedef Neighbor_search::Tree Tree;
+
+
+ /** \brief Landmark choice strategy by taking random vertices for landmarks.
+ * \details It chooses nbL distinct landmarks from a random access range `points`
+ * and outputs a matrix {witness}*{closest landmarks} in knn.
+ */
+ template <typename KNearestNeighbours,
+ typename Point_random_access_range,
+ typename Distance_matrix>
+ void landmark_choice_by_random_knn(Point_random_access_range const & points,
+ int nbL,
+ FT alpha,
+ unsigned limD,
+ KNearestNeighbours & knn,
+ Distance_matrix & distances) {
+ int nbP = points.end() - points.begin();
+ assert(nbP >= nbL);
+ std::vector<Point_d> landmarks;
+ std::vector<int> landmarks_ind;
+ Point_d p;
+ int chosen_landmark;
+ CGAL::Random rand;
+ // TODO(SK) Consider using rand_r(...) instead of rand(...) for improved thread safety
+ int current_number_of_landmarks = 0; // counter for landmarks
+ for (; current_number_of_landmarks != nbL; current_number_of_landmarks++) {
+ do chosen_landmark = rand.get_int(0,nbP);
+ while (std::find(landmarks_ind.begin(), landmarks_ind.end(), chosen_landmark) != landmarks_ind.end());
+ p = points[chosen_landmark];
+ landmarks.push_back(p);
+ landmarks_ind.push_back(chosen_landmark);
+ }
+ // std::cout << "Choice finished!" << std::endl;
+
+ //int dim = points.begin()->size();
+ knn = KNearestNeighbours(nbP);
+ distances = Distance_matrix(nbP);
+ STraits traits(&(landmarks[0]));
+ CGAL::Distance_adapter<std::ptrdiff_t,Point_d*,Euclidean_distance> adapter(&(landmarks[0]));
+ Euclidean_distance ed;
+ Tree landmark_tree(boost::counting_iterator<std::ptrdiff_t>(0),
+ boost::counting_iterator<std::ptrdiff_t>(nbL),
+ typename Tree::Splitter(),
+ traits);
+ for (int points_i = 0; points_i < nbP; points_i++) {
+ Point_d const & w = points[points_i];
+ Neighbor_search search(landmark_tree,
+ w,
+ FT(0),
+ true,
+ adapter);
+ Neighbor_search::iterator search_it = search.begin();
+ // Neighbor_search2 search(landmark_tree,
+ // w, limD+1,
+ // FT(0),
+ // true,
+ // adapter);
+ // Neighbor_search2::iterator search_it = search.begin();
+
+ while (knn[points_i].size() < limD) {
+ distances[points_i].push_back(sqrt(search_it->second));
+ knn[points_i].push_back((search_it++)->first);
+ }
+ FT dtow = distances[points_i][limD-1];
+
+ if (alpha != 0)
+ while (search_it != search.end() && search_it->second < dtow + alpha) {
+ distances[points_i].push_back(sqrt(search_it->second));
+ knn[points_i].push_back((search_it++)->first);
+ }
+ std::cout << "k = " << knn[points_i].size() << std::endl;
+ }
+ }
+
+} // namespace witness_complex
+
+} // namespace Gudhi
+
+#endif // LANDMARK_CHOICE_BY_RANDOM_POINT_H_