/* 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): David Salinas * * 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 . */ #include #include #include #include #include #include #include typedef Gudhi::skeleton_blocker::Skeleton_blocker_simple_traits Traits; typedef Gudhi::skeleton_blocker::Skeleton_blocker_complex Complex; typedef Complex::Vertex_handle Vertex_handle; typedef Complex::Simplex Simplex; Complex build_complete_complex(int n) { // build a full complex with n vertices and 2^n-1 simplices Complex complex; for (int i = 0; i < n; i++) complex.add_vertex(); for (int i = 0; i < n; i++) for (int j = 0; j < i; j++) complex.add_edge_without_blockers(Vertex_handle(i), Vertex_handle(j)); return complex; } int main(int argc, char *argv[]) { Gudhi::Clock skbl_chrono("Time to build the complete complex, enumerate simplices and Euler Characteristic"); const int n = 15; // build a full complex with n vertices and 2^n-1 simplices Complex complex(build_complete_complex(n)); // this is just to illustrate iterators, to count number of vertices // or edges, complex.num_vertices() and complex.num_edges() are // more appropriated! unsigned num_vertices = 0; for (auto v : complex.vertex_range()) { std::cout << "Vertex " << v << std::endl; ++num_vertices; } // such loop can also be done directly with distance as iterators are STL compliant auto edges = complex.edge_range(); unsigned num_edges = std::distance(edges.begin(), edges.end()); unsigned euler = 0; unsigned num_simplices = 0; // we use a reference to a simplex instead of a copy // value here because a simplex is a set of integers // and copying it cost time for (const Simplex & s : complex.complex_simplex_range()) { ++num_simplices; if (s.dimension() % 2 == 0) euler += 1; else euler -= 1; } std::cout << "Saw " << num_vertices << " vertices, " << num_edges << " edges and " << num_simplices << " simplices" << std::endl; std::cout << "The Euler Characteristic is " << euler << std::endl; std::cout << skbl_chrono; return EXIT_SUCCESS; }