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

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

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Apollonius_graph_2/ag2_exact_traits_sqrt.cpp
#include <CGAL/basic.h>
// standard includes
#include <iostream>
#include <fstream>
#include <cassert>
#if defined CGAL_USE_LEDA
# include <CGAL/leda_real.h>
#elif defined CGAL_USE_CORE
# include <CGAL/CORE_Expr.h>
#endif
// *** WARNING ***
// The use of a kernel based on an exact number type is highly inefficient.
// It is used in this example primarily for illustration purposes.
// In an efficiency critical context, and/or for the purposes of
// benchmarking the Apollonius_graph_filtered_traits_2<> class should
// be used.
#if defined CGAL_USE_LEDA
// If LEDA is present use leda_real as the exact number type
typedef leda_real NT;
#elif defined CGAL_USE_CORE
// Otherwise if CORE is present use CORE's Expr as the exact number type
typedef CORE::Expr NT;
#else
// Otherwise just use double. This may cause numerical errors but it
// is still worth doing it to show how to define correctly the traits
// class
typedef double NT;
#endif
#include <CGAL/Simple_cartesian.h>
typedef CGAL::Simple_cartesian<NT> Kernel;
// typedefs for the traits and the algorithm
#include <CGAL/Apollonius_graph_2.h>
#include <CGAL/Apollonius_graph_traits_2.h>
// the traits class is now going to assume that the operations
// +,-,*,/ and sqrt are supported exactly
typedef
CGAL::Apollonius_graph_traits_2<Kernel,CGAL::Field_with_sqrt_tag> Traits;
typedef CGAL::Apollonius_graph_2<Traits> 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;
return 0;
}