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

CGAL 4.8 - 2D Apollonius Graphs (Delaunay Graphs of Disks)

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Apollonius_graph_2/ag2_filtered_traits_no_hidden.cpp
// standard includes
#include <iostream>
#include <fstream>
#include <cassert>
// example that uses the filtered traits
// choose the representation
#include <CGAL/Simple_cartesian.h>
typedef CGAL::Simple_cartesian<double> Rep;
#include <CGAL/Apollonius_graph_2.h>
#include <CGAL/Triangulation_data_structure_2.h>
#include <CGAL/Apollonius_graph_vertex_base_2.h>
#include <CGAL/Triangulation_face_base_2.h>
#include <CGAL/Apollonius_graph_filtered_traits_2.h>
// typedef for the traits; the filtered traits class is used
typedef CGAL::Apollonius_graph_filtered_traits_2<Rep> Traits;
// typedefs for the algorithm
// With the second template argument in the vertex base class being
// false, we indicate that there is no need to store the hidden sites.
// One case where this is indeed not needed is when we only do
// insertions, like in the main program below.
typedef CGAL::Apollonius_graph_vertex_base_2<Traits,false> Vb;
typedef CGAL::Triangulation_face_base_2<Traits> Fb;
typedef CGAL::Triangulation_data_structure_2<Vb,Fb> Agds;
typedef CGAL::Apollonius_graph_2<Traits,Agds> Apollonius_graph;
int main()
{
std::ifstream ifs("data/sites.cin");
assert( ifs );
Apollonius_graph ag;
Apollonius_graph::Site_2 site;
// read the sites and insert them in the Apollonius graph
while ( ifs >> site ) {
ag.insert(site);
}
// validate the Apollonius graph
assert( ag.is_valid(true, 1) );
std::cout << std::endl;
// now remove all sites
std::cout << "Removing all sites... " << std::flush;
while ( ag.number_of_vertices() > 0 ) {
ag.remove( ag.finite_vertex() );
}
std::cout << "done!" << std::endl << std::endl;
return 0;
}