#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Constrained_Delaunay_triangulation_2.h>
#include <CGAL/Triangulation_conformer_2.h>

#include <iostream>

typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Constrained_Delaunay_triangulation_2<K> CDT;
typedef CDT::Point Point;
typedef CDT::Vertex_handle Vertex_handle;

int main()
{
  CDT cdt;

  // construct a constrained triangulation
  Vertex_handle
    va = cdt.insert(Point( 5., 5.)),
    vb = cdt.insert(Point(-5., 5.)),
    vc = cdt.insert(Point( 4., 3.)),
    vd = cdt.insert(Point( 5.,-5.)),
    ve = cdt.insert(Point( 6., 6.)),
    vf = cdt.insert(Point(-6., 6.)),
    vg = cdt.insert(Point(-6.,-6.)),
    vh = cdt.insert(Point( 6.,-6.));

  cdt.insert_constraint(va,vb);
  cdt.insert_constraint(vb,vc);
  cdt.insert_constraint(vc,vd);
  cdt.insert_constraint(vd,va);
  cdt.insert_constraint(ve,vf);
  cdt.insert_constraint(vf,vg);
  cdt.insert_constraint(vg,vh);
  cdt.insert_constraint(vh,ve);

  std::cout << "Number of vertices before: "
            << cdt.number_of_vertices() << std::endl;

  // make it conforming Delaunay
  CGAL::make_conforming_Delaunay_2(cdt);

  std::cout << "Number of vertices after make_conforming_Delaunay_2: "
            << cdt.number_of_vertices() << std::endl;

  // then make it conforming Gabriel
  CGAL::make_conforming_Gabriel_2(cdt);

  std::cout << "Number of vertices after make_conforming_Gabriel_2: "
            << cdt.number_of_vertices() << std::endl;
}