summaryrefslogtreecommitdiff
path: root/example/Persistent_cohomology/custom_persistence_sort.cpp
diff options
context:
space:
mode:
Diffstat (limited to 'example/Persistent_cohomology/custom_persistence_sort.cpp')
-rw-r--r--example/Persistent_cohomology/custom_persistence_sort.cpp137
1 files changed, 0 insertions, 137 deletions
diff --git a/example/Persistent_cohomology/custom_persistence_sort.cpp b/example/Persistent_cohomology/custom_persistence_sort.cpp
deleted file mode 100644
index 35366144..00000000
--- a/example/Persistent_cohomology/custom_persistence_sort.cpp
+++ /dev/null
@@ -1,137 +0,0 @@
-/* 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): Vincent Rouvreau
- *
- * Copyright (C) 2014 Inria
- *
- * 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 <CGAL/Epick_d.h>
-#include <CGAL/point_generators_d.h>
-#include <CGAL/algorithm.h>
-#include <CGAL/assertions.h>
-
-#include <gudhi/Alpha_complex.h>
-#include <gudhi/Persistent_cohomology.h>
-// to construct a simplex_tree from alpha complex
-#include <gudhi/Simplex_tree.h>
-
-#include <iostream>
-#include <iterator>
-#include <vector>
-#include <fstream> // for std::ofstream
-#include <algorithm> // for std::sort
-
-
-using Kernel = CGAL::Epick_d< CGAL::Dimension_tag<3> >;
-using Point = Kernel::Point_d;
-using Alpha_complex = Gudhi::alpha_complex::Alpha_complex<Kernel>;
-using Simplex_tree = Gudhi::Simplex_tree<>;
-using Persistent_cohomology = Gudhi::persistent_cohomology::Persistent_cohomology< Simplex_tree,
- Gudhi::persistent_cohomology::Field_Zp >;
-
-std::vector<Point> random_points() {
- // Instanciate a random point generator
- CGAL::Random rng(0);
-
- // Generate "points_number" random points in a vector
- std::vector<Point> points;
-
- // Generates 1000 random 3D points on a sphere of radius 4.0
- CGAL::Random_points_on_sphere_d<Point> rand_outside(3, 4.0, rng);
- CGAL::cpp11::copy_n(rand_outside, 1000, std::back_inserter(points));
- // Generates 2000 random 3D points in a sphere of radius 3.0
- CGAL::Random_points_in_ball_d<Point> rand_inside(3, 3.0, rng);
- CGAL::cpp11::copy_n(rand_inside, 2000, std::back_inserter(points));
-
- return points;
-}
-
-/*
- * Compare two intervals by dimension, then by length.
- */
-struct cmp_intervals_by_dim_then_length {
- explicit cmp_intervals_by_dim_then_length(Simplex_tree * sc)
- : sc_(sc) { }
-
- template<typename Persistent_interval>
- bool operator()(const Persistent_interval & p1, const Persistent_interval & p2) {
- if (sc_->dimension(get < 0 > (p1)) == sc_->dimension(get < 0 > (p2)))
- return (sc_->filtration(get < 1 > (p1)) - sc_->filtration(get < 0 > (p1))
- > sc_->filtration(get < 1 > (p2)) - sc_->filtration(get < 0 > (p2)));
- else
- return (sc_->dimension(get < 0 > (p1)) > sc_->dimension(get < 0 > (p2)));
- }
- Simplex_tree* sc_;
-};
-
-int main(int argc, char **argv) {
- std::vector<Point> points = random_points();
-
- std::cout << "Points size=" << points.size() << std::endl;
- // Alpha complex persistence computation from generated points
- Alpha_complex alpha_complex_from_points(points);
- std::cout << "alpha_complex_from_points" << std::endl;
-
- Simplex_tree simplex;
- std::cout << "simplex" << std::endl;
- if (alpha_complex_from_points.create_complex(simplex, 0.6)) {
- std::cout << "simplex" << std::endl;
- // ----------------------------------------------------------------------------
- // Display information about the alpha complex
- // ----------------------------------------------------------------------------
- std::cout << "Simplicial complex is of dimension " << simplex.dimension() <<
- " - " << simplex.num_simplices() << " simplices - " <<
- simplex.num_vertices() << " vertices." << std::endl;
-
- // Sort the simplices in the order of the filtration
- simplex.initialize_filtration();
-
- std::cout << "Simplex_tree dim: " << simplex.dimension() << std::endl;
-
- Persistent_cohomology pcoh(simplex);
-
- // initializes the coefficient field for homology - Z/3Z
- pcoh.init_coefficients(3);
- pcoh.compute_persistent_cohomology(0.2);
-
- // Custom sort and output persistence
- cmp_intervals_by_dim_then_length cmp(&simplex);
- auto persistent_pairs = pcoh.get_persistent_pairs();
- std::sort(std::begin(persistent_pairs), std::end(persistent_pairs), cmp);
- for (auto pair : persistent_pairs) {
- std::cout << simplex.dimension(get<0>(pair)) << " "
- << simplex.filtration(get<0>(pair)) << " "
- << simplex.filtration(get<1>(pair)) << std::endl;
- }
-
- // Persistent Betti numbers
- std::cout << "The persistent Betti numbers in interval [0.40, 0.41] are : ";
- for (int dim = 0; dim < simplex.dimension(); dim++)
- std::cout << "b" << dim << " = " << pcoh.persistent_betti_number(dim, 0.40, 0.41) << " ; ";
- std::cout << std::endl;
-
- // Betti numbers
- std::vector<int> betti_numbers = pcoh.betti_numbers();
- std::cout << "The Betti numbers are : ";
- for (std::size_t i = 0; i < betti_numbers.size(); i++)
- std::cout << "b" << i << " = " << betti_numbers[i] << " ; ";
- std::cout << std::endl;
- }
- return 0;
-}
-