#define CGAL_MESH_2_OPTIMIZER_VERBOSE
//#define CGAL_MESH_2_OPTIMIZERS_DEBUG
//#define CGAL_MESH_2_SIZING_FIELD_USE_BARYCENTRIC_COORDINATES

#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Constrained_Delaunay_triangulation_2.h>
#include <CGAL/Delaunay_mesher_2.h>
#include <CGAL/Delaunay_mesh_face_base_2.h>
#include <CGAL/Delaunay_mesh_vertex_base_2.h>
#include <CGAL/Delaunay_mesh_size_criteria_2.h>
#include <CGAL/Projection_traits_xy_3.h>

#include <CGAL/lloyd_optimize_mesh_2.h>

#include <iostream>

typedef CGAL::Exact_predicates_inexact_constructions_kernel Ks;
typedef CGAL::Projection_traits_xy_3<Ks> K;
typedef CGAL::Delaunay_mesh_vertex_base_2<K>                Vb;
typedef CGAL::Delaunay_mesh_face_base_2<K>                  Fb;
typedef CGAL::Triangulation_data_structure_2<Vb, Fb>        Tds;
typedef CGAL::Constrained_Delaunay_triangulation_2<K, Tds>  CDT;
typedef CGAL::Delaunay_mesh_size_criteria_2<CDT>            Criteria;
typedef CGAL::Delaunay_mesher_2<CDT, Criteria>              Mesher;

typedef CDT::Vertex_handle Vertex_handle;
typedef CDT::Point Point;


int main()
{
  CDT cdt;

  Vertex_handle va = cdt.insert(Point(-2,0,1));
  Vertex_handle vb = cdt.insert(Point(0,-2,1));
  Vertex_handle vc = cdt.insert(Point(2,0,1));
  Vertex_handle vd = cdt.insert(Point(0,1,1));
  cdt.insert(Point(2, 0.6,1));

  cdt.insert_constraint(va, vb);
  cdt.insert_constraint(vb, vc);
  cdt.insert_constraint(vc, vd);
  cdt.insert_constraint(vd, va);

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

  std::cout << "Meshing..." << std::endl;

  Mesher mesher(cdt);
  mesher.set_criteria(Criteria(0.125, 0.05));
  mesher.refine_mesh();
  
  std::cout << "Number of vertices: " << cdt.number_of_vertices() << std::endl;

  std::cout << "Run Lloyd optimization...";
  CGAL::lloyd_optimize_mesh_2(cdt,
    CGAL::parameters::max_iteration_number = 10);
  std::cout << " done." << std::endl;

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