126 lines
4.5 KiB
C++
126 lines
4.5 KiB
C++
// Copyright (c) 1999 Max-Planck-Institute Saarbruecken (Germany).
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// All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org).
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//
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// $URL: https://github.com/CGAL/cgal/blob/v5.1/Convex_hull_2/include/CGAL/convexity_check_2.h $
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// $Id: convexity_check_2.h 0779373 2020-03-26T13:31:46+01:00 Sébastien Loriot
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// SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial
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//
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//
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// Author(s) : Stefan Schirra
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#ifndef CGAL_CONVEXITY_CHECK_2_H
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#define CGAL_CONVEXITY_CHECK_2_H
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#include <CGAL/license/Convex_hull_2.h>
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#include <CGAL/basic.h>
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#include <iterator>
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namespace CGAL {
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// returns true, if the point elements in [|first|,|last|) form a
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// counterclockwise oriented strongly convex polygon. Strongly means,
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// there are no three collinear points.
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// {\sc traits}: uses |Traits::Left_turn_2|, |Traits::Equal_2| and |Traits::Less_xy_2|.
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template <class ForwardIterator, class Traits>
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bool
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is_ccw_strongly_convex_2( ForwardIterator first, ForwardIterator last,
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const Traits& ch_traits);
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template <class ForwardIterator>
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inline
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bool
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is_ccw_strongly_convex_2( ForwardIterator first, ForwardIterator last )
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{
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typedef std::iterator_traits<ForwardIterator> ITraits;
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typedef typename ITraits::value_type value_type;
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typedef CGAL::Kernel_traits<value_type> KTraits;
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typedef typename KTraits::Kernel Kernel;
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return is_ccw_strongly_convex_2( first, last, Kernel());
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}
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// returns true, if the point elements in [|first|,|last|) form a
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// clockwise oriented strongly convex polygon. Strongly means, there are
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// no three collinear points.
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// {\sc traits}: uses |Traits::Left_turn_2|, |Traits::Equal_2| and |Traits::Less_xy_2|.
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template <class ForwardIterator, class Traits>
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bool
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is_cw_strongly_convex_2( ForwardIterator first, ForwardIterator last,
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const Traits& ch_traits);
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template <class ForwardIterator>
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inline
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bool
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is_cw_strongly_convex_2( ForwardIterator first, ForwardIterator last )
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{
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typedef std::iterator_traits<ForwardIterator> ITraits;
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typedef typename ITraits::value_type value_type;
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typedef CGAL::Kernel_traits<value_type> KTraits;
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typedef typename KTraits::Kernel Kernel;
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return is_cw_strongly_convex_2( first, last, Kernel());
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}
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// returns true, if all points in [|first1|,|last1|) are
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// not right of the lines defined by consecutive points in the range
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// [|first2|,|last2|), where the range is considered as a cycle.
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// {\sc traits}: uses |Traits::Left_turn_2|.
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template <class ForwardIterator1, class ForwardIterator2, class Traits>
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bool
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ch_brute_force_check_2(ForwardIterator1 first1, ForwardIterator1 last1,
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ForwardIterator2 first2, ForwardIterator2 last2,
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const Traits& ch_traits);
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template <class ForwardIterator1, class ForwardIterator2>
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inline
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bool
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ch_brute_force_check_2(ForwardIterator1 first1, ForwardIterator1 last1,
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ForwardIterator2 first2, ForwardIterator2 last2)
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{
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typedef std::iterator_traits<ForwardIterator1> ITraits;
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typedef typename ITraits::value_type value_type;
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typedef CGAL::Kernel_traits<value_type> KTraits;
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typedef typename KTraits::Kernel Kernel;
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return ch_brute_force_check_2( first1, last1, first2, last2, Kernel() );
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}
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// returns true, if all points in [|first1|,|last1|) are
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// not right of the lines defined by consecutive points in the range
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// [|first2|,|last2|).
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// {\sc traits}: uses |Traits::Left_turn_2|.
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template <class ForwardIterator1, class ForwardIterator2, class Traits>
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bool
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ch_brute_force_chain_check_2(ForwardIterator1 first1,
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ForwardIterator1 last1,
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ForwardIterator2 first2,
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ForwardIterator2 last2,
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const Traits& ch_traits);
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template <class ForwardIterator1, class ForwardIterator2>
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inline
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bool
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ch_brute_force_chain_check_2(ForwardIterator1 first1, ForwardIterator1 last1,
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ForwardIterator2 first2, ForwardIterator2 last2)
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{
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typedef std::iterator_traits<ForwardIterator1> ITraits;
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typedef typename ITraits::value_type value_type;
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typedef CGAL::Kernel_traits<value_type> KTraits;
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typedef typename KTraits::Kernel Kernel;
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return ch_brute_force_chain_check_2( first1, last1, first2, last2,
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Kernel());
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}
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} //namespace CGAL
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#include <CGAL/Convex_hull_2/convexity_check_2_impl.h>
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#endif // CGAL_CONVEXITY_CHECK_2_H
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