Min_quadrilateral_2/minimum_enclosing_parallelogram_2.cpp

#include <CGAL/Simple_cartesian.h>
#include <CGAL/Polygon_2.h>
#include <CGAL/point_generators_2.h>
#include <CGAL/random_convex_set_2.h>
#include <CGAL/min_quadrilateral_2.h>
#include <iostream>

typedef CGAL::Simple_cartesian<double>                   Kernel;
typedef Kernel::Point_2                           Point_2;
typedef Kernel::Line_2                            Line_2;
typedef CGAL::Polygon_2<Kernel>                   Polygon_2;
typedef CGAL::Random_points_in_square_2<Point_2>  Generator;

int main()
{
  // build a random convex 20-gon p
  Polygon_2 p;
  CGAL::random_convex_set_2(20, std::back_inserter(p), Generator(1.0));
  std::cout << p << std::endl;

  // compute the minimal enclosing parallelogram p_m of p
  Polygon_2 p_m;
  CGAL::min_parallelogram_2(
    p.vertices_begin(), p.vertices_end(), std::back_inserter(p_m));
  std::cout << p_m << std::endl;

  return 0;
}