dust3d/thirdparty/cgal/CGAL-4.13/include/CGAL/convexity_check_2.h

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// Copyright (c) 1999 Max-Planck-Institute Saarbruecken (Germany).
// All rights reserved.
//
// This file is part of CGAL (www.cgal.org).
// You can redistribute it and/or modify it under the terms of the GNU
// General Public License as published by the Free Software Foundation,
// either version 3 of the License, or (at your option) any later version.
//
// Licensees holding a valid commercial license may use this file in
// accordance with the commercial license agreement provided with the software.
//
// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
//
// $URL$
// $Id$
// SPDX-License-Identifier: GPL-3.0+
//
//
// Author(s) : Stefan Schirra
#ifndef CGAL_CONVEXITY_CHECK_2_H
#define CGAL_CONVEXITY_CHECK_2_H
#include <CGAL/license/Convex_hull_2.h>
#include <CGAL/basic.h>
#include <iterator>
namespace CGAL {
// returns true, if the point elements in [|first|,|last|) form a
// counterclockwise oriented strongly convex polygon. Strongly means,
// there are no three collinear points.
// {\sc traits}: uses |Traits::Left_turn_2|, |Traits::Equal_2| and |Traits::Less_xy_2|.
template <class ForwardIterator, class Traits>
bool
is_ccw_strongly_convex_2( ForwardIterator first, ForwardIterator last,
const Traits& ch_traits);
template <class ForwardIterator>
inline
bool
is_ccw_strongly_convex_2( ForwardIterator first, ForwardIterator last )
{
typedef std::iterator_traits<ForwardIterator> ITraits;
typedef typename ITraits::value_type value_type;
typedef CGAL::Kernel_traits<value_type> KTraits;
typedef typename KTraits::Kernel Kernel;
return is_ccw_strongly_convex_2( first, last, Kernel());
}
// returns true, if the point elements in [|first|,|last|) form a
// clockwise oriented strongly convex polygon. Strongly means, there are
// no three collinear points.
// {\sc traits}: uses |Traits::Left_turn_2|, |Traits::Equal_2| and |Traits::Less_xy_2|.
template <class ForwardIterator, class Traits>
bool
is_cw_strongly_convex_2( ForwardIterator first, ForwardIterator last,
const Traits& ch_traits);
template <class ForwardIterator>
inline
bool
is_cw_strongly_convex_2( ForwardIterator first, ForwardIterator last )
{
typedef std::iterator_traits<ForwardIterator> ITraits;
typedef typename ITraits::value_type value_type;
typedef CGAL::Kernel_traits<value_type> KTraits;
typedef typename KTraits::Kernel Kernel;
return is_cw_strongly_convex_2( first, last, Kernel());
}
// returns true, if all points in [|first1|,|last1|) are
// not right of the lines defined by consecutive points in the range
// [|first2|,|last2|), where the range is considered as a cycle.
// {\sc traits}: uses |Traits::Left_turn_2|.
template <class ForwardIterator1, class ForwardIterator2, class Traits>
bool
ch_brute_force_check_2(ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2,
const Traits& ch_traits);
template <class ForwardIterator1, class ForwardIterator2>
inline
bool
ch_brute_force_check_2(ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2)
{
typedef std::iterator_traits<ForwardIterator1> ITraits;
typedef typename ITraits::value_type value_type;
typedef CGAL::Kernel_traits<value_type> KTraits;
typedef typename KTraits::Kernel Kernel;
return ch_brute_force_check_2( first1, last1, first2, last2, Kernel() );
}
// returns true, if all points in [|first1|,|last1|) are
// not right of the lines defined by consecutive points in the range
// [|first2|,|last2|).
// {\sc traits}: uses |Traits::Left_turn_2|.
template <class ForwardIterator1, class ForwardIterator2, class Traits>
bool
ch_brute_force_chain_check_2(ForwardIterator1 first1,
ForwardIterator1 last1,
ForwardIterator2 first2,
ForwardIterator2 last2,
const Traits& ch_traits);
template <class ForwardIterator1, class ForwardIterator2>
inline
bool
ch_brute_force_chain_check_2(ForwardIterator1 first1, ForwardIterator1 last1,
ForwardIterator2 first2, ForwardIterator2 last2)
{
typedef std::iterator_traits<ForwardIterator1> ITraits;
typedef typename ITraits::value_type value_type;
typedef CGAL::Kernel_traits<value_type> KTraits;
typedef typename KTraits::Kernel Kernel;
return ch_brute_force_chain_check_2( first1, last1, first2, last2,
Kernel());
}
} //namespace CGAL
#include <CGAL/Convex_hull_2/convexity_check_2_impl.h>
#endif // CGAL_CONVEXITY_CHECK_2_H