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// Copyright (c) 1998-2004
// Utrecht University (The Netherlands),
// ETH Zurich (Switzerland),
// INRIA Sophia-Antipolis (France),
// Max-Planck-Institute Saarbruecken (Germany),
// and Tel-Aviv University (Israel). All rights reserved.
//
// This file is part of CGAL (www.cgal.org)
//
// $URL: https://github.com/CGAL/cgal/blob/v6.1/Distance_2/include/CGAL/Distance_2/Point_2_Line_2.h $
// $Id: include/CGAL/Distance_2/Point_2_Line_2.h b26b07a1242 $
// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
//
//
// Author(s) : Geert-Jan Giezeman
// Michel Hoffmann <hoffmann@inf.ethz.ch>
// Andreas Fabri <Andreas.Fabri@geometryfactory.com>
#ifndef CGAL_DISTANCE_2_POINT_2_LINE_2_H
#define CGAL_DISTANCE_2_POINT_2_LINE_2_H
#include <CGAL/Rational_traits.h>
#include <CGAL/number_utils.h>
#include <CGAL/tags.h>
#include <CGAL/Line_2.h>
#include <CGAL/Point_2.h>
namespace CGAL {
namespace internal {
template <class K>
typename K::FT
squared_distance(const typename K::Point_2& pt,
const typename K::Line_2& line,
const K&,
const Homogeneous_tag&)
{
typedef typename K::RT RT;
typedef typename K::FT FT;
const RT& a = line.a();
const RT& b = line.b();
const RT& w = pt.hw();
RT n = a*pt.hx() + b*pt.hy() + w*line.c();
RT d = (CGAL_NTS square(a) + CGAL_NTS square(b)) * CGAL_NTS square(w);
return Rational_traits<FT>().make_rational(CGAL_NTS square(n), d);
}
template <class K>
typename K::FT
squared_distance(const typename K::Point_2& pt,
const typename K::Line_2& line,
const K&,
const Cartesian_tag&)
{
typedef typename K::FT FT;
const FT& a = line.a();
const FT& b = line.b();
FT n = a*pt.x() + b*pt.y() + line.c();
FT d = CGAL_NTS square(a) + CGAL_NTS square(b);
return CGAL_NTS square(n)/d;
}
template <class K>
typename K::FT
squared_distance(const typename K::Point_2& pt,
const typename K::Line_2& line,
const K& k)
{
typedef typename K::Kernel_tag Tag;
Tag tag;
return squared_distance(pt, line, k, tag);
}
template <class K>
inline typename K::FT
squared_distance(const typename K::Line_2& line,
const typename K::Point_2& pt,
const K& k)
{
return internal::squared_distance(pt, line, k);
}
} // namespace internal
template <class K>
inline typename K::FT
squared_distance(const Point_2<K>& pt,
const Line_2<K>& line)
{
return K().compute_squared_distance_2_object()(pt, line);
}
template <class K>
inline typename K::FT
squared_distance(const Line_2<K>& line,
const Point_2<K>& pt)
{
return K().compute_squared_distance_2_object()(line, pt);
}
} // namespace CGAL
#endif // CGAL_DISTANCE_2_POINT_2_LINE_2_H
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