CGAL 4.7 - 2D Triangulation: Triangulation_2/hierarchy.cpp

\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.7 - 2D Triangulation

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Triangulation_2/hierarchy.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Delaunay_triangulation_2.h>
#include <CGAL/Triangulation_hierarchy_2.h>
#include <CGAL/point_generators_2.h>
#include <CGAL/algorithm.h>
#include <cassert>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Triangulation_vertex_base_2<K> Vbb;
typedef CGAL::Triangulation_hierarchy_vertex_base_2<Vbb> Vb;
typedef CGAL::Triangulation_face_base_2<K> Fb;
typedef CGAL::Triangulation_data_structure_2<Vb,Fb> Tds;
typedef CGAL::Delaunay_triangulation_2<K,Tds> Dt;
typedef CGAL::Triangulation_hierarchy_2<Dt> Triangulation;
typedef Triangulation::Point Point;
typedef CGAL::Creator_uniform_2<double,Point> Creator;
int main( )
{
std::cout << "insertion of 1000 random points" << std::endl;
Triangulation t;
CGAL::Random_points_in_square_2<Point,Creator> g(1.);
CGAL::cpp11::copy_n( g, 1000, std::back_inserter(t));
//verbose mode of is_valid ; shows the number of vertices at each level
std::cout << "The number of vertices at successive levels" << std::endl;
assert(t.is_valid(true));
return 0;
}