Triangulation_traits.hpp

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/*******************************************************************************
 Causal Dynamical Triangulations in C++ using CGAL
 
 Copyright © 2021 Adam Getchell
 ******************************************************************************/
 
 
#ifndef CDT_PLUSPLUS_TRIANGULATION_TRAITS_HPP
#define CDT_PLUSPLUS_TRIANGULATION_TRAITS_HPP
 
#include <CGAL/Delaunay_triangulation_3.h>
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/point_generators_3.h>
#include <CGAL/Triangulation_cell_base_with_info_3.h>
#include <CGAL/Triangulation_vertex_base_with_info_3.h>
 
#include "Settings.hpp"
 
template <int dimension>
struct TriangulationTraits;
 
template <>
struct TriangulationTraits<3>
{
  using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel;
  using Vertex_base =
      CGAL::Triangulation_vertex_base_with_info_3<Int_precision, Kernel>;
  using Cell_base =
      CGAL::Triangulation_cell_base_with_info_3<Int_precision, Kernel>;
#ifdef CGAL_LINKED_WITH_TBB
  using Tds = CGAL::Triangulation_data_structure_3<Vertex_base, Cell_base,
                                                   CGAL::Parallel_tag>;
#else
  using Tds = CGAL::Triangulation_data_structure_3<Vertex_base, Cell_base>;
#endif
  using Delaunay      = CGAL::Delaunay_triangulation_3<Kernel, Tds>;
 
  using Cell_handle   = Delaunay::Cell_handle;
  using Face_handle   = std::pair<Cell_handle, Int_precision>;
  using Facet         = Delaunay::Facet;
  using Edge_handle   = CGAL::Triple<Cell_handle, Int_precision, Int_precision>;
  using Vertex_handle = Delaunay::Vertex_handle;
  using Point         = Delaunay::Point;
  using Causal_vertices  = std::vector<std::pair<Point, Int_precision>>;
 
  using squared_distance = Kernel::Compute_squared_distance_3;
 
  using Spherical_points_generator = CGAL::Random_points_on_sphere_3<Point>;
 
  static inline Point const ORIGIN_POINT = Point{0, 0, 0};
};  // TriangulationTraits<3>
 
#endif  // CDT_PLUSPLUS_TRIANGULATION_TRAITS_HPP