// Copyright (c) 2005 Rijksuniversiteit Groningen (Netherlands)
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL: https://github.com/CGAL/cgal/blob/v5.1/Skin_surface_3/include/CGAL/Skin_surface_traits_3.h $
// $Id: Skin_surface_traits_3.h 254d60f 2019-10-19T15:23:19+02:00 Sébastien Loriot
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
//
// Author(s)     : Nico Kruithof <Nico@cs.rug.nl>

#ifndef CGAL_SKIN_SURFACE_TRAITS_3_H
#define CGAL_SKIN_SURFACE_TRAITS_3_H

#include <CGAL/license/Skin_surface_3.h>

#include <CGAL/predicates/predicates_for_mixed_complex_3.h>

namespace CGAL {

/** Input: a list of n weighted points p_1...p_n and a query point x.
    There is a plane separating the mixed cell defined by p_1...p_n-1
    and the mixed cell defined by p_1...p_n. The predicate tests
    whether x lies on the same side of this plane as the mixed cell
    defined by p_1...p_n-1 (NEGATIVE), on the plane (ZERO) or on the
    opposite side (POSITIVE).
 **/
template <class K>
class Side_of_mixed_cell_3
{
public:
  typedef typename K::FT               FT;
  typedef typename K::Point_3          Point_3;
  typedef typename K::Weighted_point_3 Weighted_point_3;

  typedef CGAL::Sign                 result_type;

  Side_of_mixed_cell_3(const FT &shrink) : s(shrink) { }

  result_type operator()(const Weighted_point_3 &p1,
                         const Weighted_point_3 &p2,
                         const Point_3 &x) const
  {
    return side_of_mixed_cellC3(p1.x(),p1.y(),p1.z(),p1.weight(),
                                p2.x(),p2.y(),p2.z(),p2.weight(),
                                x.x(),x.y(),x.z(),
                                s);
  }

  result_type operator()(const Weighted_point_3 &p1,
                         const Weighted_point_3 &p2,
                         const Weighted_point_3 &p3,
                         const Point_3 &x) const
  {
    return side_of_mixed_cellC3(p1.x(),p1.y(),p1.z(),p1.weight(),
                                p2.x(),p2.y(),p2.z(),p2.weight(),
                                p3.x(),p3.y(),p3.z(),p3.weight(),
                                x.x(),x.y(),x.z(),
                                s);
  }

  result_type operator()(const Weighted_point_3 &p1,
                         const Weighted_point_3 &p2,
                         const Weighted_point_3 &p3,
                         const Weighted_point_3 &p4,
                         const Point_3 &x) const
  {
    return side_of_mixed_cellC3(p1.x(),p1.y(),p1.z(),p1.weight(),
                                p2.x(),p2.y(),p2.z(),p2.weight(),
                                p3.x(),p3.y(),p3.z(),p3.weight(),
                                p4.x(),p4.y(),p4.z(),p4.weight(),
                                x.x(),x.y(),x.z(),
                                s);
  }

private:
  FT s;
};

/** Input: Two weighted points
    Computes the anchor point of a Delaunay center and a Voronoi center
 **/
template <class K>
class Construct_anchor_point_3
{
public:
  typedef typename K::FT             FT;
  typedef typename K::Point_3        Point_3;

  typedef Point_3                    result_type;

  Construct_anchor_point_3(const FT &shrink) : s(shrink) {}

  result_type operator()(const Point_3 &p_del,
                         const Point_3 &p_vor) const
  {
    return Point_3((1-s)*p_del.x() + s*p_vor.x(),
                   (1-s)*p_del.y() + s*p_vor.y(),
                   (1-s)*p_del.z() + s*p_vor.z());
  }

private:
  FT s;
};

template <class K_>
class Skin_surface_traits_base_3
  : public K_
{
public:
  typedef K_                                    Kernel;
  typedef Skin_surface_traits_base_3<Kernel>    Self;

  typedef typename Kernel::FT                   FT;

  typedef CGAL::Side_of_mixed_cell_3<Self>      Side_of_mixed_cell_3;
  typedef CGAL::Construct_anchor_point_3<Self>  Construct_anchor_point_3;

  Skin_surface_traits_base_3() : s(-1) { }
  Skin_surface_traits_base_3(FT s) : s(s) { }

  void set_shrink(FT s_) {
    s = s_;
  }

  FT get_shrink() const {
    return s;
  }

  Side_of_mixed_cell_3 side_of_mixed_cell_3_object() const
  {
    CGAL_assertion((s>0) && (s<1));
    return Side_of_mixed_cell_3(get_shrink());
  }

  Construct_anchor_point_3 construct_anchor_point_3_object() const {
    return Construct_anchor_point_3(get_shrink());
  }

private:
  FT s;
};

// We need to introduce a "traits_base_3" class in order to get the
// specialization for Exact_predicates_inexact_constructions_kernel to work,
// otherwise there is a cycle in the derivation.
template < class K, bool UseFilteredPredicates=K::Has_filtered_predicates >
class Skin_surface_traits_3
  : public Skin_surface_traits_base_3<K>
{
  typedef Skin_surface_traits_base_3<K> Base;
public:
  Skin_surface_traits_3() {}
  Skin_surface_traits_3(typename Base::FT s) : Base(s) {}
  enum { Has_filtered_predicates=false };
};

} //namespace CGAL

// Now specialize for Filtered_kernel<CK>, to get
// the filtered traits automatically.
#include <CGAL/Skin_surface_filtered_traits_3.h>
#include <CGAL/Filtered_kernel.h>

namespace CGAL {

// Just FK would be nicer, but VC 2005 messes it up with an "FK" in a base class when compiling degenerate_test.cpp
template < typename Sst3FK >
class Skin_surface_traits_3 < Sst3FK, true >
  : public Skin_surface_filtered_traits_3 < Sst3FK >
{
  typedef Skin_surface_filtered_traits_3 < Sst3FK > Base;

public:
  typedef Sst3FK                                    Kernel;

  Skin_surface_traits_3() {}
  Skin_surface_traits_3(typename Base::FT s) :  Base(s) { }
};

} //namespace CGAL
#endif // CGAL_SKIN_SURFACE_TRAITS_3_H