674 lines
29 KiB
C
674 lines
29 KiB
C
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// Copyright (c) 1997
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// Utrecht University (The Netherlands),
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// ETH Zurich (Switzerland),
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// INRIA Sophia-Antipolis (France),
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// Max-Planck-Institute Saarbruecken (Germany),
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// and Tel-Aviv University (Israel). All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
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// modify it under the terms of the GNU Lesser General Public License as
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// published by the Free Software Foundation; either version 3 of the License,
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// or (at your option) any later version.
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//
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// Licensees holding a valid commercial license may use this file in
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// accordance with the commercial license agreement provided with the software.
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//
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// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
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// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
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//
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// $URL$
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// $Id$
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// SPDX-License-Identifier: LGPL-3.0+
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//
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//
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// Author(s) : Lutz Kettner <kettner@mpi-sb.mpg.de>
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#ifndef CGAL_HALFEDGEDS_VECTOR_H
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#define CGAL_HALFEDGEDS_VECTOR_H 1
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// Define this if HalfedgeDS_vector is based on CGAL internal vector.
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#define CGAL__HALFEDGEDS_USE_INTERNAL_VECTOR 1
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#include <CGAL/basic.h>
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#include <CGAL/memory.h>
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#include <CGAL/HalfedgeDS_items_decorator.h>
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#include <CGAL/N_step_adaptor_derived.h>
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#include <algorithm>
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#include <vector>
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#include <map>
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#include <cstddef>
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#ifdef CGAL__HALFEDGEDS_USE_INTERNAL_VECTOR
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#include <CGAL/vector.h>
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#else
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#include <CGAL/HalfedgeDS_iterator_adaptor.h>
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#endif
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namespace CGAL {
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template < class Traits_, class HalfedgeDSItems, class Alloc>
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class HalfedgeDS_vector_types {
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public:
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typedef HalfedgeDS_vector_types<Traits_,HalfedgeDSItems,Alloc> Self;
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typedef Traits_ Traits;
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typedef HalfedgeDSItems Items;
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typedef Alloc Allocator;
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typedef Alloc allocator_type;
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typedef typename Items::template Vertex_wrapper<Self,Traits>
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Vertex_wrapper;
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typedef typename Items::template Halfedge_wrapper<Self,Traits>
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Halfedge_wrapper;
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typedef typename Items::template Face_wrapper<Self,Traits>
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Face_wrapper;
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typedef typename Vertex_wrapper::Vertex Vertex;
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typedef typename Halfedge_wrapper::Halfedge Halfedge;
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typedef typename Face_wrapper::Face Face;
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#ifdef CGAL_CXX11
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typedef std::allocator_traits<Allocator> Allocator_traits;
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typedef typename Allocator_traits::template rebind_alloc<Vertex> Vertex_allocator;
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typedef typename Allocator_traits::template rebind_alloc<Halfedge> Halfedge_allocator;
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typedef typename Allocator_traits::template rebind_alloc<Face> Face_allocator;
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#else // not CGAL_CXX11
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typedef typename Allocator::template rebind< Vertex> Vertex_alloc_rebind;
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typedef typename Vertex_alloc_rebind::other Vertex_allocator;
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typedef typename Allocator::template rebind< Halfedge>
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Halfedge_alloc_rebind;
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typedef typename Halfedge_alloc_rebind::other Halfedge_allocator;
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typedef typename Allocator::template rebind< Face> Face_alloc_rebind;
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typedef typename Face_alloc_rebind::other Face_allocator;
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#endif // not CGAL_CXX11
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#ifdef CGAL__HALFEDGEDS_USE_INTERNAL_VECTOR
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typedef internal::vector<Vertex, Vertex_allocator> Vertex_vector;
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typedef typename Vertex_vector::iterator Vertex_I;
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typedef typename Vertex_vector::const_iterator Vertex_CI;
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typedef typename Vertex_vector::iterator Vertex_iterator;
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typedef typename Vertex_vector::const_iterator Vertex_const_iterator;
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typedef internal::vector<Halfedge, Halfedge_allocator> Halfedge_vector;
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typedef typename Halfedge_vector::iterator Halfedge_I;
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typedef typename Halfedge_vector::const_iterator Halfedge_CI;
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typedef typename Halfedge_vector::iterator Halfedge_iterator;
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typedef typename Halfedge_vector::const_iterator Halfedge_const_iterator;
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typedef N_step_adaptor_derived<Halfedge_iterator, 2>
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Edge_iterator;
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typedef N_step_adaptor_derived<Halfedge_const_iterator, 2>
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Edge_const_iterator;
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typedef internal::vector<Face, Face_allocator> Face_vector;
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typedef typename Face_vector::iterator Face_I;
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typedef typename Face_vector::const_iterator Face_CI;
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typedef typename Face_vector::iterator Face_iterator;
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typedef typename Face_vector::const_iterator Face_const_iterator;
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#else // CGAL__HALFEDGEDS_USE_INTERNAL_VECTOR //
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typedef std::vector<Vertex, Vertex_allocator> Vertex_vector;
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typedef typename Vertex_vector::iterator Vertex_I;
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typedef typename Vertex_vector::const_iterator Vertex_CI;
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typedef HalfedgeDS_iterator_adaptor<Vertex_I> Vertex_iterator;
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typedef HalfedgeDS_iterator_adaptor<Vertex_CI> Vertex_const_iterator;
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typedef std::vector<Halfedge, Halfedge_allocator> Halfedge_vector;
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typedef typename Halfedge_vector::iterator Halfedge_I;
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typedef typename Halfedge_vector::const_iterator Halfedge_CI;
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typedef HalfedgeDS_iterator_adaptor<Halfedge_I> Halfedge_iterator;
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typedef HalfedgeDS_iterator_adaptor<Halfedge_CI> Halfedge_const_iterator;
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typedef std::vector<Face, Face_allocator> Face_vector;
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typedef typename Face_vector::iterator Face_I;
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typedef typename Face_vector::const_iterator Face_CI;
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typedef HalfedgeDS_iterator_adaptor<Face_I> Face_iterator;
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typedef HalfedgeDS_iterator_adaptor<Face_CI> Face_const_iterator;
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#endif // CGAL__HALFEDGEDS_USE_INTERNAL_VECTOR //
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typedef Vertex_iterator Vertex_handle;
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typedef Vertex_const_iterator Vertex_const_handle;
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typedef Halfedge_iterator Halfedge_handle;
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typedef Halfedge_const_iterator Halfedge_const_handle;
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typedef Face_iterator Face_handle;
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typedef Face_const_iterator Face_const_handle;
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typedef typename Halfedge_vector::size_type size_type;
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typedef typename Halfedge_vector::difference_type difference_type;
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typedef std::random_access_iterator_tag iterator_category;
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static inline Vertex_handle vertex_handle( Vertex* v) {
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return Vertex_handle( Vertex_I(v));
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}
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static inline Vertex_const_handle vertex_handle( const Vertex* v) {
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return Vertex_const_handle( Vertex_CI(v));
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}
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static inline Halfedge_handle halfedge_handle( Halfedge* h) {
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return Halfedge_handle( Halfedge_I(h));
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}
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static inline Halfedge_const_handle halfedge_handle( const Halfedge* h) {
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return Halfedge_const_handle( Halfedge_CI(h));
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}
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static inline Face_handle face_handle( Face* f) {
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return Face_handle( Face_I(f));
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}
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static inline Face_const_handle face_handle( const Face* f) {
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return Face_const_handle( Face_CI(f));
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}
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};
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template < class Traits_, class HalfedgeDSItems,
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class Alloc = CGAL_ALLOCATOR(int)>
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class HalfedgeDS_vector
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: public HalfedgeDS_vector_types<Traits_, HalfedgeDSItems, Alloc> {
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public:
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typedef HalfedgeDS_vector<Traits_,HalfedgeDSItems,Alloc> Self;
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typedef HalfedgeDS_vector_types<Traits_, HalfedgeDSItems, Alloc> Types;
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typedef typename Types::Traits Traits;
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typedef typename Types::Items Items;
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typedef typename Types::Allocator Allocator;
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typedef typename Types::allocator_type allocator_type;
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typedef typename Types::Vertex Vertex;
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typedef typename Types::Halfedge Halfedge;
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typedef typename Types::Face Face;
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typedef typename Types::Vertex_vector Vertex_vector;
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typedef typename Types::Vertex_handle Vertex_handle;
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typedef typename Types::Vertex_const_handle Vertex_const_handle;
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typedef typename Types::Vertex_iterator Vertex_iterator;
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typedef typename Types::Vertex_const_iterator Vertex_const_iterator;
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typedef typename Types::Vertex_I Vertex_I;
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typedef typename Types::Vertex_CI Vertex_CI;
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typedef typename Types::Halfedge_vector Halfedge_vector;
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typedef typename Types::Halfedge_handle Halfedge_handle;
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typedef typename Types::Halfedge_const_handle Halfedge_const_handle;
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typedef typename Types::Halfedge_iterator Halfedge_iterator;
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typedef typename Types::Halfedge_const_iterator Halfedge_const_iterator;
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typedef typename Types::Halfedge_I Halfedge_I;
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typedef typename Types::Halfedge_CI Halfedge_CI;
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typedef typename Types::Face_vector Face_vector;
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typedef typename Types::Face_handle Face_handle;
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typedef typename Types::Face_const_handle Face_const_handle;
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typedef typename Types::Face_iterator Face_iterator;
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typedef typename Types::Face_const_iterator Face_const_iterator;
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typedef typename Types::Face_I Face_I;
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typedef typename Types::Face_CI Face_CI;
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typedef typename Types::size_type size_type;
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typedef typename Types::difference_type difference_type;
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typedef typename Types::iterator_category iterator_category;
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typedef Tag_false Supports_removal;
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typedef typename Vertex::Supports_vertex_halfedge Supports_vertex_halfedge;
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typedef typename Halfedge::Supports_halfedge_prev Supports_halfedge_prev;
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typedef typename Halfedge::Supports_halfedge_vertex
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Supports_halfedge_vertex;
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typedef typename Halfedge::Supports_halfedge_face
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Supports_halfedge_face;
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typedef typename Face::Supports_face_halfedge Supports_face_halfedge;
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protected:
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typedef typename Vertex::Base VBase;
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typedef typename Halfedge::Base HBase;
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typedef typename Halfedge::Base_base HBase_base;
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typedef typename Face::Base FBase;
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Vertex_vector vertices;
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Halfedge_vector halfedges;
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Face_vector faces;
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size_type nb_border_halfedges;
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size_type nb_border_edges;
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Halfedge_iterator border_halfedges;
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#ifdef CGAL__HALFEDGEDS_USE_INTERNAL_VECTOR
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Vertex_I get_v_iter( const Vertex_I& i) const { return i; }
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Vertex_CI get_v_iter( const Vertex_CI& i) const { return i; }
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Halfedge_I get_h_iter( const Halfedge_I& i) const { return i; }
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Halfedge_CI get_h_iter( const Halfedge_CI& i) const { return i; }
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Face_I get_f_iter( const Face_I& i) const { return i; }
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Face_CI get_f_iter( const Face_CI& i) const { return i; }
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#else // CGAL__HALFEDGEDS_USE_INTERNAL_VECTOR //
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Vertex_I get_v_iter( const Vertex_iterator& i) const {
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return i.iterator();
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}
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Vertex_CI get_v_iter( const Vertex_const_iterator& i) const {
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return i.iterator();
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}
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Halfedge_I get_h_iter( const Halfedge_iterator& i) const {
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return i.iterator();
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}
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Halfedge_CI get_h_iter( const Halfedge_const_iterator& i) const {
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return i.iterator();
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}
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Face_I get_f_iter( const Face_iterator& i) const {
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return i.iterator();
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}
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Face_CI get_f_iter( const Face_const_iterator& i) const {
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return i.iterator();
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}
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#endif // CGAL__HALFEDGEDS_USE_INTERNAL_VECTOR //
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// CREATION
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private:
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#define CGAL__V_UPDATE(v) (((v) == Vertex_handle()) ? (v) : \
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(v_new + ( Vertex_CI (get_v_iter(v)) - v_old)))
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#define CGAL__H_UPDATE(h) (((h) == Halfedge_handle()) ? (h) : \
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(h_new + ( Halfedge_CI (get_h_iter(h)) - h_old)))
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#define CGAL__F_UPDATE(f) (((f) == Face_handle()) ? (f) : \
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(f_new + ( Face_CI (get_f_iter(f)) - f_old)))
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void pointer_update( Vertex_CI v_old, Halfedge_CI h_old, Face_CI f_old) {
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// Update own pointers assuming that they lived previously
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// in a halfedge data structure with vector starting addresses
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// as given as parameters v_old, h_old, f_old.
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HalfedgeDS_items_decorator<Self> D;
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Vertex_iterator v_new = vertices.begin();
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Halfedge_iterator h_new = halfedges.begin();
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Face_iterator f_new = faces.begin();
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for (Halfedge_iterator h = halfedges_begin();h != halfedges_end();++h){
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h->HBase::set_next( CGAL__H_UPDATE( h->next()));
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h->HBase_base::set_opposite( CGAL__H_UPDATE( h->opposite()));
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D.set_prev( h, CGAL__H_UPDATE( D.get_prev(h)));
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D.set_vertex( h, CGAL__V_UPDATE( D.get_vertex(h)));
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D.set_face( h, CGAL__F_UPDATE( D.get_face(h)));
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}
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border_halfedges = CGAL__H_UPDATE( border_halfedges);
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if (check_tag( Supports_vertex_halfedge())) {
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for (Vertex_iterator v = vertices_begin();v != vertices_end();++v){
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D.set_vertex_halfedge(v, CGAL__H_UPDATE(
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D.get_vertex_halfedge(v)));
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}
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}
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if (check_tag( Supports_face_halfedge())) {
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for ( Face_iterator f = faces_begin(); f != faces_end(); ++f) {
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D.set_face_halfedge(f,CGAL__H_UPDATE( D.get_face_halfedge(f)));
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}
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}
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}
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#undef CGAL__V_UPDATE
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#undef CGAL__H_UPDATE
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#undef CGAL__F_UPDATE
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public:
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HalfedgeDS_vector()
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: nb_border_halfedges(0), nb_border_edges(0) {}
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// empty halfedge data structure.
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HalfedgeDS_vector( size_type v, size_type h, size_type f)
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: nb_border_halfedges(0), nb_border_edges(0) {
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// halfedge data structure with storage reserved for v vertices, h
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// halfedges, and f faces. The reservation sizes are a hint for
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// optimizing storage allocation. They are not used here.
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vertices.reserve(v);
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halfedges.reserve(h);
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faces.reserve(f);
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}
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HalfedgeDS_vector( const Self& hds)
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: vertices( hds.vertices),
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halfedges( hds.halfedges),
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faces( hds.faces),
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nb_border_halfedges( hds.nb_border_halfedges),
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nb_border_edges( hds.nb_border_edges),
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border_halfedges( hds.border_halfedges)
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{
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pointer_update( hds.vertices.begin(),
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hds.halfedges.begin(),
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hds.faces.begin());
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}
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Self& operator=( const Self& hds) {
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if ( this != &hds) {
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clear();
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vertices = hds.vertices;
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halfedges = hds.halfedges;
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faces = hds.faces;
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nb_border_halfedges = hds.nb_border_halfedges;
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nb_border_edges = hds.nb_border_edges;
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border_halfedges = hds.border_halfedges;
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pointer_update( hds.vertices.begin(),
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hds.halfedges.begin(),
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hds.faces.begin());
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}
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return *this;
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}
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void reserve( size_type v, size_type h, size_type f) {
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// reserve storage for v vertices, h halfedges, and f faces. The
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// reservation sizes are a hint for optimizing storage allocation.
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// If the `capacity' is already greater than the requested size
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// nothing happens. If the `capacity' changes all iterators and
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// circulators invalidates. Function is void here.
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if ( (check_tag( Supports_halfedge_vertex())
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&& v > capacity_of_vertices())
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|| h > capacity_of_halfedges()
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|| (check_tag( Supports_halfedge_face())
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&& f > capacity_of_faces())) {
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Vertex_CI v_old = vertices.begin();
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Halfedge_CI h_old = halfedges.begin();
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Face_CI f_old = faces.begin();
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if ( check_tag( Supports_halfedge_vertex()))
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vertices.reserve(v);
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halfedges.reserve(h);
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if ( check_tag( Supports_halfedge_face()))
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faces.reserve(f);
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pointer_update( v_old, h_old, f_old);
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}
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}
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// Access Member Functions
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allocator_type get_allocator() const { return allocator_type(); }
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size_type size_of_vertices() const { return vertices.size();}
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size_type size_of_halfedges() const { return halfedges.size();}
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// number of all halfedges (including border halfedges).
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size_type size_of_faces() const { return faces.size();}
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size_type capacity_of_vertices() const { return vertices.capacity();}
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size_type capacity_of_halfedges() const { return halfedges.capacity();}
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size_type capacity_of_faces() const { return faces.capacity();}
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std::size_t bytes() const {
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return sizeof(Self)
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||
|
+ vertices.size() * sizeof( Vertex)
|
||
|
+ halfedges.size() * sizeof( Halfedge)
|
||
|
+ faces.size() * sizeof( Face);
|
||
|
}
|
||
|
std::size_t bytes_reserved() const {
|
||
|
return sizeof(Self)
|
||
|
+ vertices.capacity() * sizeof( Vertex)
|
||
|
+ halfedges.capacity() * sizeof( Halfedge)
|
||
|
+ faces.capacity() * sizeof( Face);
|
||
|
}
|
||
|
|
||
|
Vertex_iterator vertices_begin() { return vertices.begin();}
|
||
|
Vertex_iterator vertices_end() { return vertices.end();}
|
||
|
Halfedge_iterator halfedges_begin() { return halfedges.begin();}
|
||
|
Halfedge_iterator halfedges_end() { return halfedges.end();}
|
||
|
Face_iterator faces_begin() { return faces.begin();}
|
||
|
Face_iterator faces_end() { return faces.end();}
|
||
|
|
||
|
// The constant iterators and circulators.
|
||
|
|
||
|
Vertex_const_iterator vertices_begin() const{ return vertices.begin();}
|
||
|
Vertex_const_iterator vertices_end() const{ return vertices.end();}
|
||
|
Halfedge_const_iterator halfedges_begin() const{ return halfedges.begin();}
|
||
|
Halfedge_const_iterator halfedges_end() const{ return halfedges.end();}
|
||
|
Face_const_iterator faces_begin() const{ return faces.begin();}
|
||
|
Face_const_iterator faces_end() const{ return faces.end();}
|
||
|
|
||
|
// Insertion
|
||
|
//
|
||
|
// The following operations simply allocate a new element of that type.
|
||
|
// Halfedges are always allocated in pairs of opposite halfedges. The
|
||
|
// opposite pointers are automatically set.
|
||
|
|
||
|
Vertex_handle vertices_push_back( const Vertex& v) {
|
||
|
CGAL_precondition( 1+size_of_vertices() <= capacity_of_vertices());
|
||
|
vertices.push_back(v);
|
||
|
Vertex_handle vv = vertices.end();
|
||
|
return --vv;
|
||
|
}
|
||
|
|
||
|
Halfedge_handle edges_push_back( const Halfedge& h, const Halfedge& g) {
|
||
|
// creates a new pair of opposite border halfedges.
|
||
|
CGAL_precondition( 1 + size_of_halfedges() < capacity_of_halfedges());
|
||
|
halfedges.push_back(h);
|
||
|
Halfedge_handle hh = halfedges.end();
|
||
|
--hh;
|
||
|
halfedges.push_back(g);
|
||
|
Halfedge_handle gg = halfedges.end();
|
||
|
--gg;
|
||
|
CGAL_assertion( hh + 1 == gg);
|
||
|
CGAL_assertion( (char*)(&*gg) - (char*)(&*hh) == sizeof( Halfedge));
|
||
|
hh->HBase_base::set_opposite(gg);
|
||
|
gg->HBase_base::set_opposite(hh);
|
||
|
return hh;
|
||
|
}
|
||
|
|
||
|
Halfedge_handle edges_push_back( const Halfedge& h) {
|
||
|
CGAL_precondition( h.opposite() != Halfedge_const_handle());
|
||
|
return edges_push_back( h, *(h.opposite()));
|
||
|
}
|
||
|
|
||
|
Face_handle faces_push_back( const Face& f) {
|
||
|
CGAL_precondition( 1+size_of_faces() <= capacity_of_faces());
|
||
|
faces.push_back(f);
|
||
|
Face_handle ff = faces.end();
|
||
|
return --ff;
|
||
|
}
|
||
|
|
||
|
|
||
|
// Removal
|
||
|
//
|
||
|
// The following operations erase an element referenced by a handle.
|
||
|
// Halfedges are always deallocated in pairs of opposite halfedges. Erase
|
||
|
// of single elements is optional. The deletion of all is mandatory.
|
||
|
|
||
|
void vertices_pop_back() { vertices.pop_back(); }
|
||
|
void edges_pop_back() {
|
||
|
CGAL_precondition(( halfedges_end()-1)->opposite() ==
|
||
|
( halfedges_end()-2));
|
||
|
halfedges.pop_back();
|
||
|
halfedges.pop_back();
|
||
|
}
|
||
|
void faces_pop_back() { faces.pop_back(); }
|
||
|
|
||
|
void vertices_clear() { vertices.erase( vertices.begin(), vertices.end());}
|
||
|
void edges_clear() {
|
||
|
halfedges.erase( halfedges.begin(), halfedges.end());
|
||
|
nb_border_halfedges = 0;
|
||
|
nb_border_edges = 0;
|
||
|
border_halfedges = Halfedge_handle();
|
||
|
}
|
||
|
void faces_clear() { faces.erase( faces.begin(), faces.end()); }
|
||
|
void clear() {
|
||
|
vertices_clear();
|
||
|
edges_clear();
|
||
|
faces_clear();
|
||
|
}
|
||
|
|
||
|
// Special Operations on Polyhedral Surfaces
|
||
|
protected:
|
||
|
// Update operation used in pointer_update(...).
|
||
|
void update_opposite( Halfedge_I h) {
|
||
|
Halfedge_I g = h + 1;
|
||
|
h->HBase_base::set_opposite(g);
|
||
|
g->HBase_base::set_opposite(h);
|
||
|
}
|
||
|
|
||
|
// Operations with Border Halfedges
|
||
|
public:
|
||
|
size_type size_of_border_halfedges() const { return nb_border_halfedges;}
|
||
|
// number of border halfedges. An edge with no incident face
|
||
|
// counts as two border halfedges. Precondition: `normalize_border()'
|
||
|
// has been called and no halfedge insertion or removal and no
|
||
|
// change in border status of the halfedges have occured since
|
||
|
// then.
|
||
|
|
||
|
size_type size_of_border_edges() const { return nb_border_edges;}
|
||
|
// number of border edges. If `size_of_border_edges() ==
|
||
|
// size_of_border_halfedges()' all border edges are incident to a
|
||
|
// face on one side and to a hole on the other side.
|
||
|
// Precondition: `normalize_border()' has been called and no
|
||
|
// halfedge insertion or removal and no change in border status of
|
||
|
// the halfedges have occured since then.
|
||
|
|
||
|
Halfedge_iterator border_halfedges_begin() {
|
||
|
// halfedge iterator starting with the border edges. The range [
|
||
|
// `halfedges_begin(), border_halfedges_begin()') denotes all
|
||
|
// non-border edges. The range [`border_halfedges_begin(),
|
||
|
// halfedges_end()') denotes all border edges. Precondition:
|
||
|
// `normalize_border()' has been called and no halfedge insertion
|
||
|
// or removal and no change in border status of the halfedges have
|
||
|
// occured since then.
|
||
|
return border_halfedges;
|
||
|
}
|
||
|
|
||
|
Halfedge_const_iterator border_halfedges_begin() const {
|
||
|
return border_halfedges;
|
||
|
}
|
||
|
|
||
|
void normalize_border() {
|
||
|
// sorts halfedges such that the non-border edges precedes the
|
||
|
// border edges. For each border edge that is incident to a face
|
||
|
// the halfedge iterator will reference the halfedge incident to
|
||
|
// the face right before the halfedge incident to the hole.
|
||
|
nb_border_halfedges = 0;
|
||
|
nb_border_edges = 0;
|
||
|
border_halfedges = halfedges_end();
|
||
|
// Lets run one partition step over the array of halfedges.
|
||
|
// First find a pivot -- that means a border edge.
|
||
|
Halfedge_I ll = halfedges.begin();
|
||
|
while ( ll != halfedges.end() && (! ll->is_border()) &&
|
||
|
(! ll->opposite()->is_border() ))
|
||
|
++ ++ll;
|
||
|
if ( ll == halfedges.end()) // Done. No border edges found.
|
||
|
return;
|
||
|
|
||
|
// An array of pointers to update the changed halfedge pointers.
|
||
|
#ifdef CGAL_CXX11
|
||
|
typedef std::allocator_traits<Allocator> Allocator_traits;
|
||
|
typedef typename Allocator_traits::template rebind_alloc<Halfedge_I> HI_allocator;
|
||
|
#else
|
||
|
typedef typename Allocator::template rebind< Halfedge_I>
|
||
|
HI_alloc_rebind;
|
||
|
typedef typename HI_alloc_rebind::other HI_allocator;
|
||
|
#endif
|
||
|
typedef std::vector<Halfedge_I, HI_allocator> HVector;
|
||
|
typedef typename HVector::iterator Hiterator;
|
||
|
HVector hvector;
|
||
|
// Initialize it.
|
||
|
hvector.reserve( halfedges.size());
|
||
|
for ( Halfedge_I i = halfedges.begin(); i != halfedges.end(); ++i) {
|
||
|
hvector.push_back(i);
|
||
|
}
|
||
|
Hiterator llhv = hvector.begin() + (ll-halfedges.begin());
|
||
|
// Start with the partitioning.
|
||
|
Halfedge_I rr = halfedges.end();
|
||
|
-- --rr;
|
||
|
Hiterator rrhv = hvector.end();
|
||
|
-- --rrhv;
|
||
|
// The comments proove the invariant of the partitioning step.
|
||
|
// Note that + 1 or - 1 denotes plus one edge or minus one edge,
|
||
|
// so they mean actually + 2 and - 2.
|
||
|
// Pivot is in *ll
|
||
|
// Elements in [rr+1..end) >= pivot (border)
|
||
|
// Elements in [begin..ll) < pivot (non border)
|
||
|
while (ll < rr) {
|
||
|
// Pivot is in *ll, ll <= rr.
|
||
|
while ( rr > ll && (rr->is_border()
|
||
|
|| rr->opposite()->is_border())) {
|
||
|
if ( ! rr->opposite()->is_border()) {
|
||
|
CGAL_assertion( rr + 1 == get_h_iter(rr->opposite()));
|
||
|
std::swap( *rr, *(rr+1));
|
||
|
update_opposite( rr);
|
||
|
std::swap( *rrhv, *(rrhv+1));
|
||
|
}
|
||
|
-- --rr;
|
||
|
-- --rrhv;
|
||
|
}
|
||
|
// Elements in [rr+1..end) >= pivot (border)
|
||
|
// *rr <= pivot, ll <= rr.
|
||
|
CGAL_assertion( rr + 1 == get_h_iter( rr->opposite()));
|
||
|
CGAL_assertion( ll + 1 == get_h_iter( ll->opposite()));
|
||
|
std::swap( *(ll+1), *(rr+1));
|
||
|
std::swap( *ll, *rr);
|
||
|
update_opposite( ll);
|
||
|
update_opposite( rr);
|
||
|
std::swap( *(llhv+1), *(rrhv+1));
|
||
|
std::swap( *llhv, *rrhv);
|
||
|
// Elements in [begin..ll) < pivot
|
||
|
// Pivot is in *rr, ll <= rr.
|
||
|
while ( !ll->is_border() && ! ll->opposite()->is_border()) {
|
||
|
++ ++ll;
|
||
|
++ ++llhv;
|
||
|
}
|
||
|
// Elements in [begin..ll) < pivot
|
||
|
// *ll >= pivot
|
||
|
// ll <= rr (since *rr is pivot.)
|
||
|
CGAL_assertion( ll <= rr);
|
||
|
CGAL_assertion( llhv <= rrhv);
|
||
|
CGAL_assertion( rr + 1 == get_h_iter( rr->opposite()));
|
||
|
CGAL_assertion( ll + 1 == get_h_iter( ll->opposite()));
|
||
|
std::swap( *(ll+1), *(rr+1));
|
||
|
std::swap( *ll, *rr);
|
||
|
update_opposite( ll);
|
||
|
update_opposite( rr);
|
||
|
std::swap( *(llhv+1), *(rrhv+1));
|
||
|
std::swap( *llhv, *rrhv);
|
||
|
if ( ! rr->opposite()->is_border()) {
|
||
|
CGAL_assertion( rr + 1 == get_h_iter( rr->opposite()));
|
||
|
std::swap( *rr, *(rr+1));
|
||
|
update_opposite( rr);
|
||
|
std::swap( *rrhv, *(rrhv+1));
|
||
|
}
|
||
|
|
||
|
// This guard is needed here because, rr==ll==begin, might be true
|
||
|
// at this point, causing the decrement to result in undefined
|
||
|
// behaviour.
|
||
|
// [Fernando Cacciola]
|
||
|
if ( ll < rr )
|
||
|
{
|
||
|
-- --rr;
|
||
|
-- --rrhv;
|
||
|
}
|
||
|
// Elements in [rr+1..end) >= pivot
|
||
|
// Pivot is in *ll
|
||
|
}
|
||
|
CGAL_assertion( llhv >= rrhv);
|
||
|
// rr + 1 >= ll >= rr
|
||
|
// Elements in [rr+1..end) >= pivot
|
||
|
// Elemente in [begin..ll) < pivot
|
||
|
// Pivot is in a[ll]
|
||
|
if ( ll == rr) {
|
||
|
// Check for the possibly missed swap.
|
||
|
if ( rr->is_border() && ! rr->opposite()->is_border()) {
|
||
|
CGAL_assertion( rr + 1 == get_h_iter (rr->opposite()));
|
||
|
std::swap( *rr, *(rr+1));
|
||
|
update_opposite( rr);
|
||
|
std::swap( *rrhv, *(rrhv+1));
|
||
|
}
|
||
|
}
|
||
|
CGAL_assertion( ll->opposite()->is_border());
|
||
|
CGAL_assertion( ll == halfedges.begin() || ! (ll-2)->is_border());
|
||
|
CGAL_assertion( ll == halfedges.begin() || ! (ll-1)->is_border());
|
||
|
border_halfedges = ll;
|
||
|
nb_border_edges = (halfedges.end() - ll) / 2;
|
||
|
nb_border_halfedges = 0;
|
||
|
|
||
|
HVector inv_vector( halfedges.size());
|
||
|
// Initialize inverse index.
|
||
|
for ( Hiterator k = hvector.begin(); k != hvector.end(); ++k){
|
||
|
inv_vector[*k - halfedges.begin()] =
|
||
|
halfedges.begin() + (k - hvector.begin());
|
||
|
}
|
||
|
// Update halfedge pointers.
|
||
|
HalfedgeDS_items_decorator<Self> D;
|
||
|
for (Halfedge_iterator h = halfedges_begin();h != halfedges_end();++h){
|
||
|
h->HBase::set_next( inv_vector[ h->next() - halfedges_begin()]);
|
||
|
D.set_vertex_halfedge(h);
|
||
|
if ( D.get_prev( h) == Halfedge_iterator())
|
||
|
D.set_prev( h, Halfedge_iterator());
|
||
|
else
|
||
|
D.set_prev( h, inv_vector[ D.get_prev(h) - halfedges_begin()]);
|
||
|
if ( h->is_border())
|
||
|
nb_border_halfedges++;
|
||
|
else
|
||
|
D.set_face_halfedge(h);
|
||
|
}
|
||
|
}
|
||
|
};
|
||
|
|
||
|
|
||
|
} //namespace CGAL
|
||
|
#endif // CGAL_HALFEDGEDS_VECTOR_H //
|
||
|
// EOF //
|