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

CGAL 4.8 - Optimal Distances

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Polytope_distance_d/all_furthest_neighbors_2.cpp
#include <CGAL/Cartesian.h>
#include <CGAL/Polygon_2.h>
#include <CGAL/point_generators_2.h>
#include <CGAL/random_convex_set_2.h>
#include <CGAL/all_furthest_neighbors_2.h>
#include <CGAL/IO/Ostream_iterator.h>
#include <iostream>
#include <vector>
typedef double FT;
typedef CGAL::Cartesian<FT> Kernel;
typedef Kernel::Point_2 Point;
typedef std::vector<int> Index_cont;
typedef CGAL::Polygon_2<Kernel> Polygon_2;
typedef CGAL::Random_points_in_square_2<Point> Generator;
typedef CGAL::Ostream_iterator<int,std::ostream> Oiterator;
int main()
{
// generate random convex polygon:
Polygon_2 p;
CGAL::random_convex_set_2(10, std::back_inserter(p), Generator(1));
// compute all furthest neighbors:
CGAL::all_furthest_neighbors_2(p.vertices_begin(), p.vertices_end(),
Oiterator(std::cout));
std::cout << std::endl;
return 0;
}