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

CGAL 4.8 - Geometric Object Generators

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Generator/random_convex_hull_2.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/random_convex_hull_in_disc_2.h>
#include <CGAL/Polygon_2_algorithms.h>
#include <boost/random.hpp>
#include <iostream>
#include <vector>
using namespace CGAL;
typedef Exact_predicates_inexact_constructions_kernel K;
typedef K::Point_2 Point;
typedef K::FT FT;
const double RADIUS=1.0;
int main( )
{
int N=10000;
std::vector<Point> v;
boost::mt19937 gen;
gen.seed(0u);
random_convex_hull_in_disc_2(N,RADIUS,gen,std::back_inserter(v),K());
size_t size = v.size();
FT area=polygon_area_2(v.begin(),v.end(),K());
std::cout<<"A random convex polygon inscribed in a disc with "<<size<<" vertices and area "<<area<<" has been generated."<<std::endl;
return 0;
}