dust3d/thirdparty/cgal/CGAL-5.1/include/CGAL/ch_graham_andrew.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).
//
// $URL: https://github.com/CGAL/cgal/blob/v5.1/Convex_hull_2/include/CGAL/ch_graham_andrew.h $
// $Id: ch_graham_andrew.h 0779373 2020-03-26T13:31:46+01:00 Sébastien Loriot
// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
//
//
// Author(s) : Stefan Schirra
#ifndef CGAL_CH_GRAHAM_ANDREW_H
#define CGAL_CH_GRAHAM_ANDREW_H
#include <CGAL/license/Convex_hull_2.h>
#include <CGAL/basic.h>
#include <iterator>
namespace CGAL {
// computes the sorted sequence of extreme points which are not left
// of $pq$ and reports this sequence in a range starting at |result|,
// where $p$ is the value of |first| and $q$ is the value of |last| $-1$.
// The sequence reported starts with $p$, point $q$ is omitted.
// {\it Precondition:} The points in [|first|,|last|) are sorted with respect
// to $pq$ and the range [|first|,|last|) contains at least two different
// points.
// {\sc traits}: uses |Traits::Left_turn_2| and |Traits::Equal_2| operating on the
// point type |Traits::Point_2|.
template <class BidirectionalIterator, class OutputIterator, class Traits>
OutputIterator
ch_graham_andrew_scan( BidirectionalIterator first,
BidirectionalIterator last,
OutputIterator result,
const Traits& ch_traits );
template <class BidirectionalIterator, class OutputIterator>
inline
OutputIterator
ch_graham_andrew_scan( BidirectionalIterator first,
BidirectionalIterator last,
OutputIterator result )
{
typedef std::iterator_traits<BidirectionalIterator> ITraits;
typedef typename ITraits::value_type value_type;
typedef CGAL::Kernel_traits<value_type> KTraits;
typedef typename KTraits::Kernel Kernel;
return ch_graham_andrew_scan( first, last, result, Kernel());
}
template <class BidirectionalIterator, class OutputIterator, class Traits>
OutputIterator
ch__ref_graham_andrew_scan( BidirectionalIterator first,
BidirectionalIterator last,
OutputIterator& result,
const Traits& ch_traits);
// same as |convex_hull_2(first,last,result)|.
// {\sc traits}: uses |Traits::Point_2|, |Traits::Left_turn_2|
// and |Traits::Less_xy_2|.
template <class InputIterator, class OutputIterator, class Traits>
OutputIterator
ch_graham_andrew( InputIterator first,
InputIterator last,
OutputIterator result,
const Traits& ch_traits );
template <class InputIterator, class OutputIterator>
inline
OutputIterator
ch_graham_andrew( InputIterator first,
InputIterator last,
OutputIterator result )
{
typedef std::iterator_traits<InputIterator> ITraits;
typedef typename ITraits::value_type value_type;
typedef CGAL::Kernel_traits<value_type> KTraits;
typedef typename KTraits::Kernel Kernel;
return ch_graham_andrew( first, last, result, Kernel());
}
template <class InputIterator, class OutputIterator, class Traits>
OutputIterator
ch_lower_hull_scan( InputIterator first,
InputIterator last,
OutputIterator result,
const Traits& ch_traits);
template <class InputIterator, class OutputIterator, class Traits>
OutputIterator
ch_upper_hull_scan( InputIterator first,
InputIterator last,
OutputIterator result,
const Traits& ch_traits);
} //namespace CGAL
#include <CGAL/Convex_hull_2/ch_graham_andrew_impl.h>
#endif // CGAL_CH_GRAHAM_ANDREW_H