#include <CGAL/Simple_cartesian.h>

#include <CGAL/boost/graph/graph_traits_Linear_cell_complex_for_combinatorial_map.h>
#include <CGAL/boost/graph/properties_Linear_cell_complex_for_combinatorial_map.h>
#include <CGAL/boost/graph/split_graph_into_polylines.h>
#include <CGAL/boost/graph/IO/polygon_mesh_io.h>
#include <CGAL/extract_mean_curvature_flow_skeleton.h>

#include <fstream>


typedef CGAL::Simple_cartesian<double>                        Kernel;
typedef Kernel::Point_3                                       Point;
typedef CGAL::Linear_cell_complex_traits<3, Kernel>           MyTraits;
typedef CGAL::Linear_cell_complex_for_bgl_combinatorial_map_helper
         <2, 3, MyTraits>::type LCC;

typedef boost::graph_traits<LCC>::vertex_descriptor    vertex_descriptor;

typedef CGAL::Mean_curvature_flow_skeletonization<LCC> Skeletonization;
typedef Skeletonization::Skeleton                             Skeleton;

typedef Skeleton::vertex_descriptor                           Skeleton_vertex;
typedef Skeleton::edge_descriptor                             Skeleton_edge;

//only needed for the display of the skeleton as maximal polylines
struct Display_polylines{
  const Skeleton& skeleton;
  std::ofstream& out;
  int polyline_size;
  std::stringstream sstr;

  Display_polylines(const Skeleton& skeleton, std::ofstream& out)
    : skeleton(skeleton), out(out)
  {}

  void start_new_polyline(){
    polyline_size=0;
    sstr.str("");
    sstr.clear();
  }
  void add_node(Skeleton_vertex v){
    ++polyline_size;
    sstr << " " << skeleton[v].point;
  }
  void end_polyline()
  {
    out << polyline_size << sstr.str() << "\n";
  }
};

// This example extracts a medially centered skeleton from a given mesh.
int main()
{
  LCC lcc;
  CGAL::IO::read_polygon_mesh(CGAL::data_file_path("meshes/elephant.off"), lcc);

  Skeleton skeleton;

  CGAL::extract_mean_curvature_flow_skeleton(lcc, skeleton);

  std::cout << "Number of vertices of the skeleton: " << boost::num_vertices(skeleton) << "\n";
  std::cout << "Number of edges of the skeleton: " << boost::num_edges(skeleton) << "\n";

  // Output all the edges of the skeleton.
  std::ofstream output("skel-lcc.polylines.txt");
  Display_polylines display(skeleton,output);
  CGAL::split_graph_into_polylines(skeleton, display);
  output.close();

  // Output skeleton points and the corresponding surface points
  output.open("correspondance-lcc.polylines.txt");
  for(Skeleton_vertex v : CGAL::make_range(vertices(skeleton)))
    for(vertex_descriptor vd : skeleton[v].vertices)
      output << "2 " << skeleton[v].point << " "
                     << get(CGAL::vertex_point, lcc, vd)  << "\n";

  return 0;
}

