// examples/Alpha_shapes_3/example_weight.C


#include <CGAL/Simple_cartesian.h>
#include <CGAL/MP_Float.h>
#include <CGAL/Filtered_exact.h>

#include <list>

#include <CGAL/Weighted_alpha_shape_euclidean_traits_3.h>
#include <CGAL/Regular_triangulation_3.h>
#include <CGAL/Alpha_shape_3.h>

typedef CGAL::Filtered_exact<double, CGAL::MP_Float> NT;
struct K : public CGAL::Simple_cartesian<NT> {};

typedef CGAL::Weighted_alpha_shape_euclidean_traits_3<K> Gt;

typedef CGAL::Alpha_shape_vertex_base_3<Gt>         Vb;
typedef CGAL::Alpha_shape_cell_base_3<Gt>           Fb;
typedef CGAL::Triangulation_data_structure_3<Vb,Fb> Tds;
typedef CGAL::Regular_triangulation_3<Gt,Tds>       Triangulation_3;
typedef CGAL::Alpha_shape_3<Triangulation_3>        Alpha_shape_3;

typedef Alpha_shape_3::Cell_handle          Cell_handle;
typedef Alpha_shape_3::Vertex_handle        Vertex_handle;
typedef Alpha_shape_3::Facet                Facet;
typedef Alpha_shape_3::Edge                 Edge;
typedef Gt::Weighted_point                  Weighted_point;
typedef Gt::Bare_point                      Bare_point;

int main()
{
  std::list<Weighted_point> lwp;

  //input : a small molecule
  lwp.push_back(Weighted_point(Bare_point( 1, -1, -1), 4));
  lwp.push_back(Weighted_point(Bare_point(-1,  1, -1), 4));
  lwp.push_back(Weighted_point(Bare_point(-1, -1,  1), 4));
  lwp.push_back(Weighted_point(Bare_point( 1,  1,  1), 4));
  lwp.push_back(Weighted_point(Bare_point( 2,  2,  2), 1));

  //build alpha_shape  in GENERAL mode and set alpha=0
  Alpha_shape_3  as(lwp.begin(), lwp.end(), 0, Alpha_shape_3::GENERAL);

  //explore the 0-shape - It is dual to the boundary of the union.
  std::list<Cell_handle> cells;
  std::list<Facet>       facets;
  std::list<Edge>        edges;
  as.get_alpha_shape_cells(std::back_inserter(cells), 
			   Alpha_shape_3::INTERIOR);
  as.get_alpha_shape_facets(std::back_inserter(facets), 
			    Alpha_shape_3::REGULAR);
  as.get_alpha_shape_facets(std::back_inserter(facets), 
			    Alpha_shape_3::SINGULAR);
  as.get_alpha_shape_edges(std::back_inserter(edges), 
			   Alpha_shape_3::SINGULAR);
  std::cout << " The 0-shape has : " << std::endl;
  std::cout << cells.size() << " interior tetrahedra" << std::endl;
  std::cout << facets.size() << " boundary facets" << std::endl;
  std::cout << edges.size()  << " singular edges" << std::endl;
  return 0;
}
