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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/v6.1/Convex_hull_2/include/CGAL/ch_selected_extreme_points_2.h $ // $Id: include/CGAL/ch_selected_extreme_points_2.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Stefan Schirra #ifndef CGAL_CH_SELECTED_EXTREME_POINTS_2_H #define CGAL_CH_SELECTED_EXTREME_POINTS_2_H #include #include #include namespace CGAL { // traverses the range [|first|,|last|). After execution, the value of |n| is // an iterator in the range such that |*n| $\ge_{\rm yx}$ |*it| for // all iterators |it| in the range. Similarly, for |s|, |w|, and |e| // the inequations |*s| $\le_{\rm yx}$ |*it|, |*w| $\le_{\rm xy}$ |*it|, // and |*e| $\ge_{\rm yx}$ |*it| hold respectively for all iterators // |it| in the range. // {\sc traits}: uses |Traits::Less_xy_2| and |Traits::Less_yx_2|. template void ch_nswe_point( ForwardIterator first, ForwardIterator last, ForwardIterator& n, ForwardIterator& s, ForwardIterator& w, ForwardIterator& e, const Traits& ch_traits); template inline void ch_nswe_point( ForwardIterator first, ForwardIterator last, ForwardIterator& n, ForwardIterator& s, ForwardIterator& w, ForwardIterator& e) { typedef std::iterator_traits ITraits; typedef typename ITraits::value_type value_type; typedef CGAL::Kernel_traits KTraits; typedef typename KTraits::Kernel Kernel; ch_nswe_point(first, last, n, s, w, e, Kernel()); } // traverses the range [|first|,|last|). After execution, the value of |n| is // an iterator in the range such that |*n| $\ge_{\rm yx}$ |*it| for // all iterators |it| in the range. Similarly, for |s| the inequation // |*s| $\le_{\rm yx}$ |*it| holds for all iterators |it| in the range. // {\sc traits}: uses function object type |Traits::Less_yx_2|. template void ch_ns_point( ForwardIterator first, ForwardIterator last, ForwardIterator& n, ForwardIterator& s, const Traits& ch_traits ); template inline void ch_ns_point( ForwardIterator first, ForwardIterator last, ForwardIterator& n, ForwardIterator& s) { typedef std::iterator_traits ITraits; typedef typename ITraits::value_type value_type; typedef CGAL::Kernel_traits KTraits; typedef typename KTraits::Kernel Kernel; ch_ns_point(first, last, n, s, Kernel()); } // traverses the range [|first|,|last|). After execution, the value of |w| is // an iterator in the range such that |*w| $\le_{\rm xy}$ |*it| for // all iterators |it| in the range. Similarly, for |e| the inequation // |*e| $\ge_{\rm yx}$ |*it| holds for all iterators |it| in the range. // {\sc traits}: uses function object type |Traits::Less_xy_2|. template void ch_we_point( ForwardIterator first, ForwardIterator last, ForwardIterator& w, ForwardIterator& e, const Traits& ch_traits ); template inline void ch_we_point( ForwardIterator first, ForwardIterator last, ForwardIterator& w, ForwardIterator& e) { typedef std::iterator_traits ITraits; typedef typename ITraits::value_type value_type; typedef CGAL::Kernel_traits KTraits; typedef typename KTraits::Kernel Kernel; ch_we_point(first, last, w, e, Kernel()); } // traverses the range [|first|,|last|). After execution, the value of |n| is // an iterator in the range such that |*n| $\ge_{\rm yx}$ |*it| for // all iterators |it| in the range. // {\sc traits}: uses |Traits::Less_yx_2|. template void ch_n_point( ForwardIterator first, ForwardIterator last, ForwardIterator& n, const Traits& ch_traits ); template inline void ch_n_point( ForwardIterator first, ForwardIterator last, ForwardIterator& n) { typedef std::iterator_traits ITraits; typedef typename ITraits::value_type value_type; typedef CGAL::Kernel_traits KTraits; typedef typename KTraits::Kernel Kernel; ch_n_point(first, last, n, Kernel()); } // traverses the range [|first|,|last|). After execution, the value of |s| is // an iterator in the range such that |*s| $\le_{\rm yx}$ |*it| for // all iterators |it| in the range. // {\sc traits}: uses |Traits::Less_yx_2|. template void ch_s_point( ForwardIterator first, ForwardIterator last, ForwardIterator& s, const Traits& ch_traits ); template inline void ch_s_point( ForwardIterator first, ForwardIterator last, ForwardIterator& s) { typedef std::iterator_traits ITraits; typedef typename ITraits::value_type value_type; typedef CGAL::Kernel_traits KTraits; typedef typename KTraits::Kernel Kernel; ch_s_point(first, last, s, Kernel()); } // traverses the range [|first|,|last|). After execution, the value of |e| is // an iterator in the range such that |*e| $\ge_{\rm yx}$ |*it| for // for all iterators |it| in the range. // {\sc traits}: uses |Traits::Less_xy_2|. template void ch_e_point( ForwardIterator first, ForwardIterator last, ForwardIterator& e, const Traits& ch_traits ); template inline void ch_e_point( ForwardIterator first, ForwardIterator last, ForwardIterator& e) { typedef std::iterator_traits ITraits; typedef typename ITraits::value_type value_type; typedef CGAL::Kernel_traits KTraits; typedef typename KTraits::Kernel Kernel; ch_e_point(first, last, e, Kernel()); } // traverses the range [|first|,|last|). After execution, the value of |w| is // an iterator in the range such that |*w| $\le_{\rm yx}$ |*it| for // for all iterators |it| in the range. // {\sc traits}: uses |Traits::Less_yx_2|. template void ch_w_point( ForwardIterator first, ForwardIterator last, ForwardIterator& w, const Traits& ch_traits ); template inline void ch_w_point( ForwardIterator first, ForwardIterator last, ForwardIterator& w) { typedef std::iterator_traits ITraits; typedef typename ITraits::value_type value_type; typedef CGAL::Kernel_traits KTraits; typedef typename KTraits::Kernel Kernel; ch_w_point(first, last, w, Kernel()); } } //namespace CGAL #include #endif // CGAL_CH_SELECTED_EXTREME_POINTS_2_H