#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Delaunay_triangulation_3.h>
#include <CGAL/point_generators_3.h>
#include <vector>
#include <cassert>
typedef Delaunay::Point                          Point;
typedef Delaunay::Cell_handle                    Cell_handle;
typedef Delaunay::Facet                          Facet;
int main()
{
  Delaunay T;
  CGAL::Random_points_in_sphere_3<Point> rnd;
  
  T.insert(Point(1,0,0));
  T.insert(Point(0,1,0));
  T.insert(Point(0,0,1));
  assert(T.dimension() == 3);
  
  
  
  for (int i = 0; i != 100; ++i) {
    Point p = *rnd++;
    
    Delaunay::Locate_type lt;
    int li, lj;
    Cell_handle c = T.locate(p, lt, li, lj);
    if (lt == Delaunay::VERTEX)
      continue; 
    
    
    std::vector<Cell_handle> V;
    Facet f;
    T.find_conflicts(p, c,
                     std::back_inserter(V));          
    if ((V.size() & 1) == 0)  
      T.insert_in_hole(p, V.begin(), V.end(), f.first, f.second);
  }
  std::cout << "Final triangulation has " << T.number_of_vertices()
            << " vertices." << std::endl;
  return 0;
}