\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 5.0 - 2D Hyperbolic Delaunay Triangulations
Hyperbolic_triangulation_2/ht2_example.cpp
#include <CGAL/Hyperbolic_Delaunay_triangulation_2.h>
#include <CGAL/Hyperbolic_Delaunay_triangulation_traits_2.h>
#include <CGAL/point_generators_2.h>
#include <CGAL/Timer.h>
#include <iostream>
#include <vector>
typedef Gt::Point_2 Point_2;
typedef Gt::Circle_2 Circle_2;
typedef Gt::FT FT;
int main(int argc, char** argv)
{
int N;
if(argc < 2) {
std::cout << "usage: " << argv[0] << " [number_of_points]" << std::endl;
std::cout << "Defaulting to 100k points..." << std::endl;
N = 100000;
} else {
N = atoi(argv[1]);
}
CGAL::Timer timer;
CGAL::Random_points_in_disc_2<Point_2, Creator> in_disc;
std::vector<Point_2> pts;
std::vector<Point_2>::iterator ip;
for(int i=0; i<N; ++i)
pts.push_back(*(in_disc++));
Dt dt_during;
std::cout << "Insertion of points one by one (hyperbolic filtering at each step)" << std::endl;
std::cout << "===================================================================" << std::endl;
timer.start();
for(ip = pts.begin(); ip != pts.end(); ++ip)
dt_during.insert(*ip);
timer.stop();
std::cout << "Number of vertices: " << dt_during.number_of_vertices() << std::endl;
std::cout << "Number of hyperbolic faces: " << dt_during.number_of_hyperbolic_faces() << std::endl;
std::cout << "Number of hyperbolic edges: " << dt_during.number_of_hyperbolic_edges() << std::endl;
std::cout << "Time: " << timer.time() << std::endl << std::endl;
Dt dt_end;
std::cout << "Insertion of point set (hyperbolic filtering only once at the end)" << std::endl;
std::cout << "===================================================================" << std::endl;
timer.reset();
timer.start();
dt_end.insert(pts.begin(),pts.end());
timer.stop();
std::cout << "Number of vertices: " << dt_end.number_of_vertices() << std::endl;
std::cout << "Number of hyperbolic faces: " << dt_end.number_of_hyperbolic_faces() << std::endl;
std::cout << "Number of hyperbolic edges: " << dt_end.number_of_hyperbolic_edges() << std::endl;
std::cout << "Time: " << timer.time() << std::endl;
return EXIT_SUCCESS;
}