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// 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/v6.1.1/Intersections_3/include/CGAL/Intersections_3/internal/Line_3_Triangle_3_do_intersect.h $
// $Id: include/CGAL/Intersections_3/internal/Line_3_Triangle_3_do_intersect.h 08b27d3db14 $
// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
//
//
// Author(s) : Philippe Guigue
#ifndef CGAL_INTERNAL_INTERSECTIONS_LINE_3_TRIANGLE_3_DO_INTERSECT_H
#define CGAL_INTERNAL_INTERSECTIONS_LINE_3_TRIANGLE_3_DO_INTERSECT_H
#include <CGAL/enum.h>
#include <CGAL/kernel_assertions.h>
namespace CGAL {
namespace Intersections {
namespace internal {
template <class K>
typename K::Boolean
do_intersect(const typename K::Triangle_3& t,
const typename K::Line_3& l,
const K& k)
{
CGAL_kernel_precondition(!k.is_degenerate_3_object()(t));
CGAL_kernel_precondition(!k.is_degenerate_3_object()(l));
typedef typename K::Point_3 Point_3;
typename K::Construct_point_on_3 point_on = k.construct_point_on_3_object();
typename K::Construct_vertex_3 vertex_on = k.construct_vertex_3_object();
typename K::Orientation_3 orientation = k.orientation_3_object();
typename K::Coplanar_orientation_3 coplanar_orientation = k.coplanar_orientation_3_object();
const Point_3& a = vertex_on(t,0);
const Point_3& b = vertex_on(t,1);
const Point_3& c = vertex_on(t,2);
const Point_3& p = point_on(l,0);
const Point_3& q = point_on(l,1);
if((orientation(a,b,c,p) != COPLANAR) || (orientation(a,b,c,q) != COPLANAR))
{
const Orientation pqab = orientation(p,q,a,b);
const Orientation pqbc = orientation(p,q,b,c);
switch(pqab)
{
case POSITIVE: return (pqbc != NEGATIVE) && (orientation(p,q,c,a) != NEGATIVE);
case NEGATIVE: return (pqbc != POSITIVE) && (orientation(p,q,c,a) != POSITIVE);
case COPLANAR:
switch(pqbc)
{
case POSITIVE: return (orientation(p,q,c,a) != NEGATIVE);
case NEGATIVE: return (orientation(p,q,c,a) != POSITIVE);
case COPLANAR: return true;
default: // should not happen.
CGAL_kernel_assertion(false);
return false;
}
default: // should not happen.
CGAL_kernel_assertion(false);
return false;
}
}
// Coplanar case
const Orientation pqa = coplanar_orientation(p,q,a);
return (coplanar_orientation(p,q,b) != pqa) || (coplanar_orientation(p,q,c) != pqa);
}
template <class K>
inline
typename K::Boolean
do_intersect(const typename K::Line_3& l,
const typename K::Triangle_3& t,
const K& k)
{
return do_intersect(t, l, k);
}
} // namespace internal
} // namespace Intersections
} // namespace CGAL
#endif // CGAL_INTERNAL_INTERSECTIONS_LINE_3_TRIANGLE_3_DO_INTERSECT_H
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