// Copyright (c) 2003  INRIA Sophia-Antipolis (France).
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org)
//
// $URL: https://github.com/CGAL/cgal/blob/v5.6.1/Intersections_2/include/CGAL/Intersections_2/internal/Triangle_2_Triangle_2_do_intersect_impl.h $
// $Id: Triangle_2_Triangle_2_do_intersect_impl.h 8ba0b41 2022-11-22T12:35:10+01:00 Mael Rouxel-Labbé
// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
//
//
// Author(s)     : Philippe Guigue

#ifndef CGAL_TRIANGLE_2_TRIANGLE_2_DO_INTERSECT_H
#define CGAL_TRIANGLE_2_TRIANGLE_2_DO_INTERSECT_H

#include <CGAL/Intersection_traits.h>
#include <CGAL/Triangle_2.h>

namespace CGAL {

namespace Intersections {

namespace internal {

template <class K>
typename K::Boolean
intersection_test_vertex(const typename K::Point_2*  P1,
                         const typename K::Point_2*  Q1,
                         const typename K::Point_2*  R1,
                         const typename K::Point_2*  P2,
                         const typename K::Point_2*  Q2,
                         const typename K::Point_2*  R2,
                         const K& k)
{
  CGAL_kernel_precondition( k.orientation_2_object() (*P1,*Q1,*R1)
                            == POSITIVE);
  CGAL_kernel_precondition( k.orientation_2_object() (*P2,*Q2,*R2)
                            == POSITIVE);

  typename K::Orientation_2 orientation =
    k.orientation_2_object();

  if (orientation(*R2,*P2,*Q1) != NEGATIVE) {
    if (orientation(*R2,*Q2,*Q1) != POSITIVE) {
      if (orientation(*P1,*P2,*Q1) == POSITIVE)
        return orientation(*P1,*Q2,*Q1) != POSITIVE;
      return   orientation(*P1,*P2,*R1) != NEGATIVE
        &&  orientation(*Q1,*R1,*P2) != NEGATIVE  ;
    }
    return  orientation(*P1,*Q2,*Q1) != POSITIVE
      && orientation(*R2,*Q2,*R1) != POSITIVE
      &&  orientation(*Q1,*R1,*Q2) != NEGATIVE ;
  }

  if (orientation(*R2,*P2,*R1) != NEGATIVE) {
    if (orientation(*Q1,*R1,*R2) != NEGATIVE)
      return orientation(*P1,*P2,*R1) != NEGATIVE;
    return orientation(*Q1,*R1,*Q2) != NEGATIVE
      &&  orientation(*R2,*R1,*Q2) != NEGATIVE;
  }

  return false;

}


template <class K>
typename K::Boolean
intersection_test_edge(const typename K::Point_2* P1,
                       const typename K::Point_2* Q1,
                       const typename K::Point_2* R1,
                       const typename K::Point_2* P2,
                       const typename K::Point_2* CGAL_kernel_precondition_code(Q2),
                       const typename K::Point_2*  R2,
                       const K& k)
{
  CGAL_kernel_precondition( k.orientation_2_object() (*P1,*Q1,*R1)
                            == POSITIVE);
  CGAL_kernel_precondition( k.orientation_2_object() (*P2,*Q2,*R2)
                            == POSITIVE);

  typename K::Orientation_2 orientation =
    k.orientation_2_object();

  if (orientation(*R2,*P2,*Q1) != NEGATIVE) {
    if (orientation(*P1,*P2,*Q1) != NEGATIVE)
      return orientation(*P1,*Q1,*R2) != NEGATIVE;
    return orientation(*Q1,*R1,*P2) != NEGATIVE
      && orientation(*R1,*P1,*P2) != NEGATIVE;
  }

  if (orientation(*R2,*P2,*R1) != NEGATIVE)
    return  orientation(*P1,*P2,*R1) != NEGATIVE
      && ( orientation(*P1,*R1,*R2) != NEGATIVE
           || orientation(*Q1,*R1,*R2) != NEGATIVE ) ;

  return false;

}

template <class K>
typename K::Boolean
do_intersect(const typename K::Triangle_2& t1,
             const typename K::Triangle_2& t2,
             const K& k)
{
  CGAL_kernel_precondition( ! k.is_degenerate_2_object() (t1) );
  CGAL_kernel_precondition( ! k.is_degenerate_2_object() (t2) );

  typename K::Construct_vertex_2 vertex_on =
    k.construct_vertex_2_object();

  typename K::Orientation_2 orientation =
    k.orientation_2_object();


  typedef typename K::Point_2 Point_2;

  const Point_2 & P1 = vertex_on(t1,0);
  const Point_2 & Q1 = vertex_on(t1,1);
  const Point_2 & R1 = vertex_on(t1,2);
  const Point_2 & P2 = vertex_on(t2,0);
  const Point_2 & Q2 = vertex_on(t2,1);
  const Point_2 & R2 = vertex_on(t2,2);

  const Point_2 * p1 = &P1;
  const Point_2 * q1 = &Q1;
  const Point_2 * r1 = &R1;

  const Point_2 * p2 = &P2;
  const Point_2 * q2 = &Q2;
  const Point_2 * r2 = &R2;

  if ( orientation(P1,Q1,R1) != POSITIVE ) {
    q1 = &R1;;
    r1 = &Q1;
  }

  if ( orientation(P2,Q2,R2) != POSITIVE ) {
    q2 = &R2;
    r2 = &Q2;
  }

  if ( orientation(*p2,*q2,*p1) != NEGATIVE ) {
    if ( orientation(*q2,*r2,*p1) != NEGATIVE ) {
      if ( orientation(*r2,*p2,*p1) != NEGATIVE ) return true;
      return internal::intersection_test_edge(p1,q1,r1,p2,q2,r2,k);
    }
    if ( orientation(*r2,*p2,*p1) != NEGATIVE )
      return internal::intersection_test_edge(p1,q1,r1,r2,p2,q2,k);
    return internal::intersection_test_vertex(p1,q1,r1,p2,q2,r2,k);

  }

  if ( orientation(*q2,*r2,*p1) != NEGATIVE ) {
    if ( orientation(*r2,*p2,*p1) != NEGATIVE )
      return internal::intersection_test_edge(p1,q1,r1,q2,r2,p2,k);
    return internal::intersection_test_vertex(p1,q1,r1,q2,r2,p2,k);
  }
  return internal::intersection_test_vertex(p1,q1,r1,r2,p2,q2,k);

}

} // namespace internal
} // namespace Intersections
} // namespace CGAL

#endif // CGAL_TRIANGLE_2_TRIANGLE_2_DO_INTERSECT_H

