// Copyright (c) 1997-2000  Max-Planck-Institute Saarbruecken (Germany).
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL: https://github.com/CGAL/cgal/blob/v6.2-beta1/Convex_hull_d/include/CGAL/Convex_hull_d_traits_3.h $
// $Id: include/CGAL/Convex_hull_d_traits_3.h 431cfb5357d $
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
//
// Author(s)     : Michael Seel <seel@mpi-sb.mpg.de>

#ifndef CGAL_CONVEX_HULL_D_TRAITS_3_H
#define CGAL_CONVEX_HULL_D_TRAITS_3_H

#include <CGAL/license/Convex_hull_d.h>

#define CGAL_DEPRECATED_HEADER "<CGAL/Convex_hull_d_traits_3.h>"
#define CGAL_DEPRECATED_MESSAGE_DETAILS \
  "The Triangulation package (see https://doc.cgal.org/latest/Triangulation) should be used instead."
#include <CGAL/Installation/internal/deprecation_warning.h>

#include <CGAL/Point_3.h>
#include <CGAL/Vector_3.h>
#include <CGAL/Plane_3.h>
#include <CGAL/Ray_3.h>
#include <CGAL/Triangle_3.h>
#include <CGAL/Tetrahedron_3.h>
#include <CGAL/predicates_on_points_3.h>
#include <CGAL/intersection_3.h>
#include <vector>
#include <CGAL/use.h>

namespace CGAL {

template <class R_> struct Convex_hull_d_traits_3
{
    typedef R_                    R;
    typedef typename R_::RT       RT;
    typedef typename R_::FT       FT;
    typedef typename R_::Point_3  Point_d;
    typedef typename R_::Plane_3  Hyperplane_d;
    typedef typename R_::Vector_3 Vector_d;
    typedef typename R_::Ray_3    Ray_d;

  typedef typename R::Oriented_side_3 Oriented_side_d;
  Oriented_side_d oriented_side_d_object() const
  { return Oriented_side_d(); }

  typedef typename R::Has_on_positive_side_3 Has_on_positive_side_d;
  Has_on_positive_side_d has_on_positive_side_d_object() const
  { return Has_on_positive_side_d(); }

  struct Orientation_d {
    template <class I>
    Orientation operator()(I s, I e) {

      CGAL_USE(e);

      Point_d A[4];
      CGAL_assertion(s != e);
      A[0] = *s;
      ++s;
      CGAL_assertion(s != e);
      A[1] = *s;
      ++s;
      CGAL_assertion(s != e);
      A[2] = *s;
      ++s;
      CGAL_assertion(s != e);
      A[3] = *s;
      ++s;
      CGAL_assertion(s == e);

      return orientation(A[0],A[1],A[2],A[3]);
    }
  };
  Orientation_d orientation_d_object() const
  { return Orientation_d(); }

  struct Affinely_independent_d {
    template <class I>
    bool operator()(I s, I e)
    {
      Point_d A[4];
      CGAL_assertion(s != e);
      A[0] = *s;
      ++s;
      if(s == e){
        return true;
      }
      A[1] = *s;
      ++s;
      if (s == e){
        return A[0] != A[1];
      }
      A[2] = *s;
      ++s;
      if (s == e){
        return ! collinear( A[0], A[1], A[2] );
      }
      A[3] = *s;
      ++s;
      if (s == e){
        return !coplanar( A[0], A[1], A[2], A[3] );
      }
      return false;
    }
  };


  Affinely_independent_d
  affinely_independent_d_object() const
  {
    return Affinely_independent_d();
  }


  struct Contained_in_simplex_d {

    template <class I>
    bool
    operator()(I s, I e, const Point_d& p)
    {
      Point_d A[4];
      CGAL_assertion(s != e);
      A[0] = *s;
      ++s;
      if(s == e){
        return A[0] == p;
      }
      A[1] = *s;
      ++s;
      if (s == e){
        typename R_::Segment_3 s( A[0], A[1] );
        return s.has_on(p);
      }
      A[2] = *s;
      ++s;
      if (s == e){
        typename R_::Triangle_3 t( A[0], A[1], A[2] );
        return t.has_on(p);
      }
      A[3] = *s;
      ++s;
      if (s == e){
        typename R_::Tetrahedron_3 t( A[0], A[1], A[2], A[3] );
        return !t.has_on_unbounded_side(p);
      }
      return false;  // should be unreachable !
    }
  };

  Contained_in_simplex_d
  contained_in_simplex_d_object() const
  {
    return Contained_in_simplex_d();
  }

  struct Contained_in_affine_hull_d {
    template <class I>
    bool operator()(I s, I e, const Point_d& p)
    {
      CGAL_assertion_code( Affinely_independent_d affinely_independent; )
      CGAL_assertion( affinely_independent(s,e) );
      Point_d A[3];
      A[0] = *s;
      ++s;
      if(s == e){
        return  p == A[0];
      }
      A[1] = *s;
      ++s;
      if (s == e){
        return collinear( p, A[0], A[1] );
      }
      A[2] = *s;
      ++s;
      if (s == e){
        return coplanar( p, A[0], A[1], A[2] );
      }
      return false;
    }
  };


  Contained_in_affine_hull_d
  contained_in_affine_hull_d_object() const
  {
    return Contained_in_affine_hull_d();
  }


  struct Component_accessor_d {
    template <typename C>
    int dimension(const C& c) const { return c.dimension(); }
    template <typename C>
    RT homogeneous(const C& c, int i) { return c.homogeneous(i); }
    template <typename C>
    FT cartesian(const C& c, int i) { return c.cartesian(i); }
  };
  Component_accessor_d component_accessor_d_object() const
  { return Component_accessor_d(); }

  struct Orthogonal_vector_d {
    Vector_d operator()(const Hyperplane_d& h) const
    { return h.orthogonal_vector(); }
  };
  Orthogonal_vector_d orthogonal_vector_d_object() const
  { return Orthogonal_vector_d(); }

  struct Point_to_vector_d {
    Vector_d operator()(const Point_d& p) const
    { return p-CGAL::ORIGIN; }
  };
  Point_to_vector_d point_to_vector_d_object() const
  { return Point_to_vector_d(); }

  struct Vector_to_point_d {
    Point_d operator()(const Vector_d& v) const
    { return CGAL::ORIGIN+v; }
  };
  Vector_to_point_d vector_to_point_d_object() const
  { return Vector_to_point_d(); }

  struct Construct_vector_d {
    Vector_d operator()(int, Null_vector) const
    { return Vector_d(NULL_VECTOR); }
  };
  Construct_vector_d construct_vector_d_object() const
  { return Construct_vector_d(); }

  struct Construct_hyperplane_d {
    template <class I>
    Hyperplane_d operator()(I s, I e, const Point_d& p,
                            Oriented_side side)
    {
      Hyperplane_d pl;
      Point_d A[3];
      A[0] = *s;
      ++s;
      if(s == e){
        pl = Hyperplane_d( A[0], A[0] - p);
      } else {
        A[1] = *s;
        ++s;
        if(s == e){
          typename R_::Point_3 hp =
            A[0] + cross_product( p - A[0], A[1] - A[0] );
          pl = Hyperplane_d( A[0], A[1], hp );
        } else {
          A[2] = *s;
          ++s;
          if(s == e){
            pl = Hyperplane_d( A[0], A[1], A[2] );
          } else {
            CGAL_error();
          }
        }
      }
      if (side != 0) {
        if ( pl.oriented_side(p) !=  side ) { pl = pl.opposite(); }
      }
      return pl;
    }
  };
  Construct_hyperplane_d construct_hyperplane_d_object() const
  { return Construct_hyperplane_d(); }

  typedef typename R::Intersect_3 Intersect_d;
  Intersect_d intersect_d_object() const
  { return Intersect_d(); }

};

} //namespace CGAL

#endif // CGAL_CONVEX_HULL_D_TRAITS_3_H
