// Copyright (c) 2008  INRIA Sophia-Antipolis (France).
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
//
// $URL: https://github.com/CGAL/cgal/blob/v5.1/Circular_kernel_3/include/CGAL/Circular_arc_point_3.h $
// $Id: Circular_arc_point_3.h 0779373 2020-03-26T13:31:46+01:00 Sébastien Loriot
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
// Author(s) : Monique Teillaud, Sylvain Pion, Pedro Machado,
//             Julien Hazebrouck, Damien Leroy

// Partially supported by the IST Programme of the EU as a
// STREP (FET Open) Project under Contract No  IST-006413
// (ACS -- Algorithms for Complex Shapes)

#ifndef CGAL_CIRCULAR_ARC_POINT_3_H
#define CGAL_CIRCULAR_ARC_POINT_3_H

#include <CGAL/license/Circular_kernel_3.h>


#include <CGAL/result_of.h>
#include <CGAL/Bbox_3.h>
#include <iostream>

namespace CGAL {

template < typename SphericalKernel >
class Circular_arc_point_3
  : public SphericalKernel::Kernel_base::Circular_arc_point_3
{
  typedef typename SphericalKernel::Kernel_base::Circular_arc_point_3
                                           RCircular_arc_point_3;

  typedef typename SphericalKernel::Root_of_2             Root_of_2;
  typedef typename SphericalKernel::Point_3               Point_3;
  typedef typename SphericalKernel::Plane_3               Plane_3;
  typedef typename SphericalKernel::Line_3                Line_3;
  typedef typename SphericalKernel::Circle_3              Circle_3;
  typedef typename SphericalKernel::Sphere_3              Sphere_3;

public:
  typedef typename SphericalKernel::Root_for_spheres_2_3
    Root_for_spheres_2_3;
  typedef SphericalKernel   R;
  typedef RCircular_arc_point_3 Rep;

  const Rep& rep() const
  {
    return *this;
  }

  Rep& rep()
  {
    return *this;
  }

  Circular_arc_point_3()
  : RCircular_arc_point_3(
    typename R::Construct_circular_arc_point_3()())
  {}

  Circular_arc_point_3(const Root_of_2 & x,
                       const Root_of_2 & y,
                       const Root_of_2 & z)
  : RCircular_arc_point_3(
    typename R::Construct_circular_arc_point_3()(x,y,z))
  {}


  Circular_arc_point_3(const Root_for_spheres_2_3 & np)
  : RCircular_arc_point_3(
    typename R::Construct_circular_arc_point_3()(np))
  {}

  Circular_arc_point_3(const RCircular_arc_point_3 & p)
  : RCircular_arc_point_3(p)
  {}

  Circular_arc_point_3(const Point_3 & p)
  : RCircular_arc_point_3(
    typename R::Construct_circular_arc_point_3()(p))
  {}

    // Not Documented
  Circular_arc_point_3(const Sphere_3 & s1,
                       const Sphere_3 & s2,
                       const Sphere_3 & s3,
                       const bool less_xyz = true)
  : RCircular_arc_point_3(
    typename R::Construct_circular_arc_point_3()(s1,s2,s3,less_xyz))
  {}

    // Not Documented
  Circular_arc_point_3(const Plane_3 & p,
                       const Sphere_3 & s1,
                       const Sphere_3 & s2,
                       const bool less_xyz = true)
  : RCircular_arc_point_3(
    typename R::Construct_circular_arc_point_3()(p,s1,s2,less_xyz))
  {}

    // Not Documented
  Circular_arc_point_3(const Sphere_3 & s1,
                       const Plane_3 & p,
                       const Sphere_3 & s2,
                       const bool less_xyz = true)
  : RCircular_arc_point_3(
    typename R::Construct_circular_arc_point_3()(s1,p,s2,less_xyz))
  {}

    // Not Documented
  Circular_arc_point_3(const Sphere_3 & s1,
                       const Sphere_3 & s2,
                       const Plane_3 & p,
                       const bool less_xyz = true)
  : RCircular_arc_point_3(
    typename R::Construct_circular_arc_point_3()(s1,s2,p,less_xyz))
  {}

    // Not Documented
  Circular_arc_point_3(const Plane_3 & p1,
                       const Plane_3 & p2,
                       const Sphere_3 & s,
                       const bool less_xyz = true)
  : RCircular_arc_point_3(
    typename R::Construct_circular_arc_point_3()(p1,p2,s,less_xyz))
  {}

    // Not Documented
  Circular_arc_point_3(const Plane_3 & p1,
                       const Sphere_3 & s,
                       const Plane_3 & p2,
                       const bool less_xyz = true)
  : RCircular_arc_point_3(
    typename R::Construct_circular_arc_point_3()(p1,s,p2,less_xyz))
  {}

    // Not Documented
  Circular_arc_point_3(const Sphere_3 & s,
                       const Plane_3 & p1,
                       const Plane_3 & p2,
                       const bool less_xyz = true)
  : RCircular_arc_point_3(
    typename R::Construct_circular_arc_point_3()(s,p1,p2,less_xyz))
  {}

    // Not Documented
  Circular_arc_point_3(const Line_3 & l,
                       const Sphere_3 & s,
                       const bool less_xyz = true)
  : RCircular_arc_point_3(
    typename R::Construct_circular_arc_point_3()(l,s,less_xyz))
  {}

    // Not Documented
  Circular_arc_point_3(const Sphere_3 & s,
                       const Line_3 & l,
                       const bool less_xyz = true)
  : RCircular_arc_point_3(
    typename R::Construct_circular_arc_point_3()(s,l,less_xyz))
  {}

    // Not Documented
  Circular_arc_point_3(const Circle_3 & c,
                       const Sphere_3 & s,
                       const bool less_xyz = true)
  : RCircular_arc_point_3(
    typename R::Construct_circular_arc_point_3()(c,s,less_xyz))
  {}

    // Not Documented
  Circular_arc_point_3(const Sphere_3 & s,
                       const Circle_3 & c,
                       const bool less_xyz = true)
  : RCircular_arc_point_3(
    typename R::Construct_circular_arc_point_3()(s,c,less_xyz))
  {}

    // Not Documented
  Circular_arc_point_3(const Circle_3 & c,
                       const Plane_3 & p,
                       const bool less_xyz = true)
  : RCircular_arc_point_3(
    typename R::Construct_circular_arc_point_3()(c,p,less_xyz))
  {}

    // Not Documented
  Circular_arc_point_3(const Sphere_3 & s,
                       const Plane_3 & p,
                       const bool less_xyz = true)
  : RCircular_arc_point_3(
    typename R::Construct_circular_arc_point_3()(s,p,less_xyz))
  {}



  typename cpp11::result_of<typename R::Compute_circular_x_3(Circular_arc_point_3)>::type
  x() const
  { return typename R::Compute_circular_x_3()(*this);}

  typename cpp11::result_of<typename R::Compute_circular_y_3(Circular_arc_point_3)>::type
  y() const
  { return typename R::Compute_circular_y_3()(*this);}

  typename cpp11::result_of<typename R::Compute_circular_z_3(Circular_arc_point_3)>::type
  z() const
  { return typename R::Compute_circular_z_3()(*this);}

  Bbox_3 bbox() const
  { return typename R::Construct_bbox_3()(*this); }

};

  template < class SK >
  std::ostream&
  operator<<(std::ostream &os, const Circular_arc_point_3<SK> &p)
  {
    return os << p.x() << " " << p.y() << " " << p.z() << " " ;
  }

  template < typename SK >
  std::istream &
  operator>>(std::istream & is, Circular_arc_point_3<SK> &p)
  {
    typedef typename SK::Root_for_spheres_2_3    Root_for_spheres_2_3;

    Root_for_spheres_2_3 r;
    is >> r;
    if(is)
      p = Circular_arc_point_3<SK>(r);
    return is;
  }

  template < typename SK >
  inline
  bool
  operator==(const Circular_arc_point_3<SK> &p,
             const Circular_arc_point_3<SK> &q)
  {
    return SK().equal_3_object()(p, q);
  }

  template < typename SK >
  inline
  bool
  operator!=(const Circular_arc_point_3<SK> &p,
             const Circular_arc_point_3<SK> &q)
  {
    return ! (p == q);
  }

  template < typename SK >
  inline
  bool
  operator<(const Circular_arc_point_3<SK> &p,
             const Circular_arc_point_3<SK> &q)
  {
    return SK().compare_xyz_3_object()(p, q) == CGAL::SMALLER;
  }

  template < typename SK >
  inline
  bool
  operator>(const Circular_arc_point_3<SK> &p,
             const Circular_arc_point_3<SK> &q)
  {
    return SK().compare_xyz_3_object()(p, q) == CGAL::LARGER;
  }

  template < typename SK >
  inline
  bool
  operator<=(const Circular_arc_point_3<SK> &p,
             const Circular_arc_point_3<SK> &q)
        {
                CGAL::Comparison_result c = SK().compare_xyz_3_object()(p, q);
    return (c == CGAL::SMALLER) || (c == CGAL::EQUAL);
        }

  template < typename SK >
  inline
  bool
  operator>=(const Circular_arc_point_3<SK> &p,
             const Circular_arc_point_3<SK> &q)
  {
    CGAL::Comparison_result c = SK().compare_xyz_3_object()(p, q);
    return (c == CGAL::LARGER) || (c == CGAL::EQUAL);
  }

}

#endif