// Copyright (c) 2013 GeometryFactory (France).
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL: https://github.com/CGAL/cgal/blob/v6.2/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/internal/Side_of_triangle_mesh/Point_inside_vertical_ray_cast.h $
// $Id: include/CGAL/Polygon_mesh_processing/internal/Side_of_triangle_mesh/Point_inside_vertical_ray_cast.h cac3e9d75e2 $
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
//
// Author(s)     : Ilker O. Yaz and Sebastien Loriot


#ifndef CGAL_POINT_INSIDE_POLYHEDRON_POINT_INSIDE_VERTICAL_RAY_CAST_H
#define CGAL_POINT_INSIDE_POLYHEDRON_POINT_INSIDE_VERTICAL_RAY_CAST_H

#include <CGAL/license/Polygon_mesh_processing/miscellaneous.h>


#include <CGAL/Polygon_mesh_processing/internal/Side_of_triangle_mesh/Ray_3_Triangle_3_traversal_traits.h>
#include <CGAL/point_generators_3.h>
#include <CGAL/Origin.h>

#include <optional>
#include <boost/none.hpp>

namespace CGAL {
namespace internal {

template <class AABBTree>
struct Default_tree_helper
{
  typedef typename AABBTree::AABB_traits AABB_traits;
  typedef typename CGAL::AABB_node<AABB_traits> Node;

  Bbox_3 get_tree_bbox(const AABBTree& tree) const
  {
    return tree.bbox();
  }

  typename AABBTree::Primitive::Datum
  get_primitive_datum(const typename AABBTree::Primitive& primitive, const AABB_traits& traits) const
  {
    return internal::Primitive_helper<AABB_traits>::get_datum(primitive, traits);
  }

  Bbox_3 get_node_bbox(const Node& node) const
  {
    return node.bbox();
  }
};

// internal class for point inside test, using existing AABB tree
template<class Kernel, class AABBTree, class Helper = Default_tree_helper<AABBTree> >
class Point_inside_vertical_ray_cast
{
  typedef typename Kernel::Point_3       Point;
  typedef typename Kernel::Ray_3         Ray;
  typedef typename AABBTree::AABB_traits Traits;

  static const unsigned int seed = 1340818006;

  Helper m_helper;

public:
  Point_inside_vertical_ray_cast(const Helper& h = Helper())
    : m_helper(h)
  {}

  Bounded_side operator()(
    const Point& point,
    const AABBTree& tree,
    typename Kernel::Construct_ray_3 ray_functor = Kernel().construct_ray_3_object(),
    typename Kernel::Construct_vector_3 vector_functor = Kernel().construct_vector_3_object() ) const
  {
    typename Traits::Bounding_box bbox = m_helper.get_tree_bbox(tree);

    //the direction of the vertical ray depends on the position of the point in the bbox
    //in order to limit the expected number of nodes visited.
    Ray query = ray_functor(point, vector_functor(0,0,(2*point.z() <  bbox.zmax()+bbox.zmin()?-1:1)));
    std::optional<Bounded_side> res = is_inside_ray_tree_traversal<true>(query, tree);

    if(res == std::nullopt)
    {
      CGAL::Random rg(seed); // seed some value for make it easy to debug
      Random_points_on_sphere_3<Point> random_point(1.,rg);

      do { //retry with a random ray
        query = ray_functor(point, vector_functor(CGAL::ORIGIN,*random_point++));
        res = is_inside_ray_tree_traversal<false>(query, tree);
      } while (res == std::nullopt);
    }
    return *res;
  }

private:
  template<bool ray_is_vertical>
  std::optional<Bounded_side>
  is_inside_ray_tree_traversal(const Ray& ray, const AABBTree& tree) const
  {
    std::pair<boost::logic::tribool,std::size_t>
      status( boost::logic::tribool(boost::logic::indeterminate), 0);

    Ray_3_Triangle_3_traversal_traits<Traits, Kernel, Helper, Boolean_tag<ray_is_vertical> >
      traversal_traits(status, tree.traits(), m_helper);

    tree.traversal(ray, traversal_traits);

    if ( !boost::logic::indeterminate(status.first) )
    {
      if (status.first) {
        return (status.second&1) == 1 ? ON_BOUNDED_SIDE : ON_UNBOUNDED_SIDE;
      }
      //otherwise the point is on the facet
      return ON_BOUNDARY;
    }
    return std::optional<Bounded_side>(); // indeterminate
  }
};

}// namespace internal
}// namespace CGAL

#endif
