2160 lines
75 KiB
C++
2160 lines
75 KiB
C++
// Copyright (c) 1997-2002,2005 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/Nef_3/include/CGAL/Nef_polyhedron_3.h $
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// $Id: Nef_polyhedron_3.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) : Michael Seel <seel@mpi-sb.mpg.de>
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// Miguel Granados <granados@mpi-sb.mpg.de>
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// Susan Hert <hert@mpi-sb.mpg.de>
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// Lutz Kettner <kettner@mpi-sb.mpg.de>
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// Ralf Osbild <osbild@mpi-sb.mpg.de>
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// Peter Hachenberger <hachenberger@mpi-sb.mpg.de>
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#ifndef CGAL_NEF_POLYHEDRON_3_H
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#define CGAL_NEF_POLYHEDRON_3_H
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#include <CGAL/license/Nef_3.h>
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#include <CGAL/disable_warnings.h>
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#include <CGAL/basic.h>
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#include <CGAL/Handle_for.h>
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#include <CGAL/Nef_3/Default_items.h>
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#include <CGAL/Nef_3/SNC_structure.h>
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#include <CGAL/Nef_3/SNC_decorator.h>
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#include <CGAL/Nef_3/SNC_const_decorator.h>
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#include <CGAL/Nef_3/SNC_constructor.h>
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#include <CGAL/Nef_3/SNC_external_structure.h>
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#include <CGAL/Nef_3/Combine_with_halfspace.h>
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#ifdef CGAL_NEF_VISUAL_HULL
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#include <CGAL/Nef_3/Binary_operation_vs.h>
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#else
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#include <CGAL/Nef_3/Binary_operation.h>
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#endif
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#include <CGAL/Nef_S2/SM_decorator.h>
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#include <CGAL/Nef_S2/SM_const_decorator.h>
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#include <CGAL/Nef_3/SNC_SM_overlayer.h>
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#include <CGAL/Nef_S2/SM_point_locator.h>
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#include <CGAL/Nef_3/SNC_SM_explorer.h>
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#include <CGAL/Nef_polyhedron_S2.h>
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#include <CGAL/Modifier_base.h>
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#include <CGAL/Nef_3/Mark_bounded_volumes.h>
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#include <CGAL/IO/Verbose_ostream.h>
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#include <CGAL/Nef_3/polygon_mesh_to_nef_3.h>
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#include <CGAL/Nef_3/shell_to_nef_3.h>
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#include <CGAL/Polyhedron_incremental_builder_3.h>
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#include <CGAL/Polyhedron_3.h>
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#include <CGAL/boost/graph/graph_traits_Polyhedron_3.h>
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#include <CGAL/boost/graph/properties_Polyhedron_3.h>
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#include <CGAL/Nef_3/SNC_point_locator.h>
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#include <CGAL/assertions.h>
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#include <CGAL/Constrained_triangulation_2.h>
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#include <CGAL/Triangulation_data_structure_2.h>
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#include <CGAL/Projection_traits_xy_3.h>
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#include <CGAL/Projection_traits_yz_3.h>
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#include <CGAL/Projection_traits_xz_3.h>
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#include <CGAL/Constrained_triangulation_face_base_2.h>
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#include <list>
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#include <boost/type_traits/is_same.hpp>
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#include <boost/utility/enable_if.hpp>
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// RO: includes for "vertex cycle to Nef" constructor
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#include <CGAL/Nef_3/vertex_cycle_to_nef_3.h>
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#include <CGAL/Vector_3.h>
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#include <CGAL/normal_vector_newell_3.h>
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#ifdef CGAL_NEF_VISUAL_HULL
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#include <CGAL/Nef_3/Modifying_binary_operation_vs.h>
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#endif
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#undef CGAL_NEF_DEBUG
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#define CGAL_NEF_DEBUG 11
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#include <CGAL/Nef_2/debug.h>
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namespace CGAL {
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template <typename K, typename I, typename M> class Nef_polyhedron_3;
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template <typename K, typename I, typename M> class Nef_polyhedron_3_rep;
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template <typename K, typename I, typename M>
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std::ostream& operator<<(std::ostream& os, Nef_polyhedron_3<K,I,M>& NP);
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template <typename K, typename I, typename M>
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std::istream& operator>>(std::istream& os, Nef_polyhedron_3<K,I,M>& NP);
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template <typename K, typename I, typename M>
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class Nef_polyhedron_3_rep
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{
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typedef Nef_polyhedron_3_rep<K,I,M> Self;
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friend class Nef_polyhedron_3<K,I,M>;
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public:
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typedef CGAL::SNC_structure<K,I,M> SNC_structure;
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typedef CGAL::SNC_decorator<SNC_structure> SNC_decorator;
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typedef CGAL::SNC_const_decorator<SNC_structure> SNC_const_decorator;
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typedef CGAL::Binary_operation<SNC_structure> Binary_operation;
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typedef CGAL::SNC_constructor<I, SNC_structure> SNC_constructor;
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typedef CGAL::SNC_external_structure<I, SNC_structure> SNC_external_structure;
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typedef CGAL::SNC_point_locator<SNC_decorator> SNC_point_locator;
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typedef CGAL::SNC_simplify<I, SNC_structure> SNC_simplify;
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typedef CGAL::SNC_point_locator_by_spatial_subdivision<SNC_decorator> SNC_point_locator_default;
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typedef typename SNC_structure::Sphere_map Sphere_map;
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typedef CGAL::SM_decorator<Sphere_map> SM_decorator;
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typedef CGAL::SM_const_decorator<Sphere_map> SM_const_decorator;
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typedef CGAL::SNC_SM_overlayer<I, SM_decorator> SM_overlayer;
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typedef CGAL::SM_point_locator<SNC_structure> SM_point_locator;
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private:
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SNC_structure snc_;
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SNC_point_locator* pl_;
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public:
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Nef_polyhedron_3_rep() : snc_(), pl_() {}
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~Nef_polyhedron_3_rep() {
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CGAL_NEF_TRACEN( "Nef_polyhedron_3_rep: destroying SNC structure "<<&snc_<<
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", point locator "<<pl_);
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snc_.clear();
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delete pl_;
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}
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};
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/*{\Manpage {Nef_polyhedron_3} {T} {Nef Polyhedra in Space}{N}}*/
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/*{\Mdefinition
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An instance of data type |\Mname| is a subset of 3-space which is the
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result of forming complements and intersections starting from a set |H| of
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halfspaces. |\Mtype| is closed under all binary set opertions |intersection|,
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|union|, |difference|, |complement| and under the topological operations
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|boundary|, |closure|, and |interior|.}*/
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template <typename Kernel_, typename Items_ = typename CGAL::Default_items<Kernel_>::Items, typename Mark_ = bool>
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class Nef_polyhedron_3 : public CGAL::Handle_for< Nef_polyhedron_3_rep<Kernel_, Items_, Mark_> >,
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public SNC_const_decorator<SNC_structure<Kernel_,Items_,Mark_> >
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{
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public:
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/*{\Mtypes 7}*/
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typedef Kernel_ Kernel;
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typedef Kernel_ Traits;
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typedef Items_ Items;
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typedef Mark_ Mark;
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typedef Nef_polyhedron_3<Kernel, Items, Mark> Self;
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typedef Nef_polyhedron_3<Kernel, Items, Mark> Nef_polyhedron;
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typedef Handle_for< Nef_polyhedron_3_rep<Kernel, Items, Mark> > Base;
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typedef typename Kernel::Point_3 Point_3;
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typedef typename Kernel::Plane_3 Plane_3;
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typedef typename Kernel::Vector_3 Vector_3;
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typedef typename Kernel::Segment_3 Segment_3;
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typedef typename Kernel::Aff_transformation_3 Aff_transformation_3;
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#if (! defined _MSC_VER) || (_MSC_VER >= 1900)
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// VC++ < 2017 has a problem to digest the following typedef,
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// and does not need the using statements -- AF
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// The left and right part of these typedefs have the same name. It is
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// very important to qualify the left part with the CGAL:: namespace, no
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// to confuse g++. -- Laurent Rineau, 2010/09/13
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typedef CGAL::SNC_structure<Kernel,Items,Mark> SNC_structure;
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typedef CGAL::SNC_const_decorator<SNC_structure> SNC_const_decorator;
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using SNC_const_decorator::set_snc;
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using SNC_const_decorator::is_standard;
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using SNC_const_decorator::is_bounded;
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#endif
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struct Polylines_tag {};
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struct Points_tag {};
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enum Boundary { EXCLUDED=0, INCLUDED=1 };
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/*{\Menum construction selection.}*/
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typedef enum { EMPTY=0, COMPLETE=1 } Content;
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/*{\Menum construction selection}*/
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typedef enum { DEFAULT, NAIVE, WALKING, SPATIAL_SUBDIVISION } Location_mode;
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/*{\Menum selection flag for the point location mode.}*/
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protected:
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struct AND {
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Mark operator()(const Mark& b1, const Mark& b2, bool /* inverted */ =false)const
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{ return b1&&b2; }
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};
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struct OR {
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Mark operator()(const Mark& b1, const Mark& b2, bool /* inverted */ =false) const
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{ return b1||b2; }
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};
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struct DIFF {
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Mark operator()(const Mark& b1, const Mark& b2, bool inverted=false) const
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{ return (inverted) ? !b1&&b2 : b1&&!b2 ; }
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};
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struct XOR {
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Mark operator()(const Mark& b1, const Mark& b2, bool /* inverted */ =false) const
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{ return (b1&&!b2)||(!b1&&b2); }
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};
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public:
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typedef Nef_polyhedron_3_rep<Kernel,Items, Mark> Nef_rep;
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typedef typename Nef_rep::SM_decorator SM_decorator;
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typedef typename Nef_rep::SM_const_decorator SM_const_decorator;
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protected:
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typedef typename Nef_rep::SNC_decorator SNC_decorator;
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typedef typename Nef_rep::SNC_constructor SNC_constructor;
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typedef typename Nef_rep::SNC_external_structure SNC_external_structure;
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typedef typename Nef_rep::Binary_operation Binary_operation;
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typedef typename Nef_rep::SNC_point_locator SNC_point_locator;
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typedef typename Nef_rep::SNC_point_locator_default
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SNC_point_locator_default;
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typedef CGAL::Combine_with_halfspace<SNC_structure, SNC_point_locator>
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Combine_with_halfspace;
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public:
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enum Intersection_mode {
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CLOSED_HALFSPACE = Combine_with_halfspace::CLOSED_HALFSPACE,
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OPEN_HALFSPACE = Combine_with_halfspace::OPEN_HALFSPACE,
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PLANE_ONLY = Combine_with_halfspace::PLANE_ONLY};
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protected:
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typedef typename Nef_rep::SM_overlayer SM_overlayer;
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typedef typename Nef_rep::SM_point_locator SM_point_locator;
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typedef typename Nef_rep::SNC_simplify SNC_simplify;
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typedef typename Nef_rep::Sphere_map Sphere_map;
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public:
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typedef CGAL::Nef_polyhedron_S2<Kernel,Items,Mark,Sphere_map> Nef_polyhedron_S2;
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protected:
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SNC_structure& snc() { return this->ptr()->snc_; }
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const SNC_structure& snc() const { return this->ptr()->snc_; }
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SNC_point_locator*& pl() { return this->ptr()->pl_; }
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const SNC_point_locator* pl() const { return this->ptr()->pl_; }
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friend std::ostream& operator<< <>
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(std::ostream& os, Nef_polyhedron_3<Kernel,Items, Mark>& NP);
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friend std::istream& operator>> <>
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(std::istream& is, Nef_polyhedron_3<Kernel,Items, Mark>& NP);
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typedef typename SNC_decorator::Vertex_handle Vertex_handle;
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typedef typename SNC_decorator::Halfedge_handle Halfedge_handle;
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typedef typename SNC_decorator::Halffacet_handle
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Halffacet_handle;
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typedef typename SNC_decorator::Volume_handle Volume_handle;
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public:
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typedef typename SNC_structure::Sphere_point Sphere_point;
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typedef typename SNC_structure::Sphere_segment Sphere_segment;
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typedef typename SNC_structure::Sphere_circle Sphere_circle;
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typedef typename SNC_structure::Vertex_base Vertex;
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typedef typename SNC_structure::Halfedge_base Halfedge;
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typedef typename SNC_structure::Halffacet_base Halffacet;
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typedef typename SNC_structure::Volume_base Volume;
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typedef typename SNC_structure::Vertex_const_handle Vertex_const_handle;
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typedef typename SNC_structure::Halfedge_const_handle Halfedge_const_handle;
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typedef typename SNC_structure::Halffacet_const_handle Halffacet_const_handle;
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typedef typename SNC_structure::Volume_const_handle Volume_const_handle;
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typedef typename SNC_structure::SHalfedge_around_svertex_circulator
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SHalfedge_around_svertex_circulator;
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typedef typename SNC_structure::SHalfedge_around_svertex_const_circulator
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SHalfedge_around_svertex_const_circulator;
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typedef typename SNC_structure::SHalfedge_around_facet_circulator
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SHalfedge_around_facet_circulator;
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typedef typename SNC_structure::SHalfedge_around_facet_const_circulator
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SHalfedge_around_facet_const_circulator;
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typedef typename SNC_structure::SHalfedge_around_sface_const_circulator
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SHalfedge_around_sface_const_circulator;
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typedef typename SNC_structure::Halffacet_cycle_const_iterator
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Halffacet_cycle_const_iterator;
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typedef typename SNC_structure::Halffacet_cycle_iterator
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Halffacet_cycle_iterator;
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typedef typename SNC_structure::Infi_box Infi_box;
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typedef typename SNC_structure::Size_type Size_type;
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typedef Size_type size_type;
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typedef typename Kernel::RT RT;
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public:
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typedef typename SM_decorator::SVertex_handle SVertex_handle;
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typedef typename SM_decorator::SHalfedge_handle SHalfedge_handle;
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typedef typename SM_decorator::SFace_handle SFace_handle;
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typedef typename SM_decorator::SVertex_const_handle
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SVertex_const_handle;
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typedef typename SM_decorator::SHalfedge_const_handle
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SHalfedge_const_handle;
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typedef typename SM_decorator::SHalfloop_const_handle
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SHalfloop_const_handle;
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typedef typename SM_decorator::SFace_const_handle
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SFace_const_handle;
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typedef typename SNC_decorator::Vertex_iterator Vertex_iterator;
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typedef typename SNC_decorator::Halfedge_iterator
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Halfedge_iterator;
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typedef typename SNC_decorator::Halffacet_iterator
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Halffacet_iterator;
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typedef typename SNC_structure::Shell_entry_iterator
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Shell_entry_iterator;
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typedef typename SNC_decorator::Volume_iterator Volume_iterator;
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typedef typename SNC_structure::Vertex_const_iterator
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Vertex_const_iterator;
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typedef typename SNC_structure::Halfedge_const_iterator
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Halfedge_const_iterator;
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typedef typename SNC_structure::Halffacet_const_iterator
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Halffacet_const_iterator;
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typedef typename SNC_structure::Volume_const_iterator
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Volume_const_iterator;
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typedef typename SNC_structure::Shell_entry_const_iterator
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Shell_entry_const_iterator;
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typedef typename SM_decorator::SVertex_iterator SVertex_iterator;
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typedef typename SM_decorator::SHalfedge_iterator
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SHalfedge_iterator;
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typedef typename SM_decorator::SHalfloop_iterator
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SHalfloop_iterator;
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typedef typename SM_decorator::SFace_iterator SFace_iterator;
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typedef typename SM_decorator::SVertex_const_iterator
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SVertex_const_iterator;
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typedef typename SM_decorator::SHalfedge_const_iterator
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SHalfedge_const_iterator;
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typedef typename SM_decorator::SHalfloop_const_iterator
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SHalfloop_const_iterator;
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typedef typename SM_decorator::SFace_const_iterator
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SFace_const_iterator;
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typedef typename SNC_decorator::SFace_cycle_const_iterator
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SFace_cycle_const_iterator;
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typedef typename SNC_decorator::Association Association;
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protected:
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void initialize_infibox_vertices(Content space) {
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SNC_constructor C(snc());
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Infi_box::initialize_infibox_vertices(C, space == COMPLETE);
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}
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void check_h_for_intersection_of_12_cube_edges_and_add_vertices
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(const Plane_3& p);
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void create_intersection_vertex_of_h_and_e();
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void init_cube_vertices_depending_on_h(const Plane_3& p);
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void add_h_to_local_view_of_v();
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public:
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void build_external_structure() {
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SNC_external_structure es(snc(), pl());
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es.build_external_structure();
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}
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public:
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/*{\Mcreation 3}*/
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Nef_polyhedron_3( Content space = EMPTY);
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/*{\Mcreate creates an instance |\Mvar| of type |\Mname|
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and initializes it to the empty set if |space == EMPTY|
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and to the whole space if |space == COMPLETE|.}*/
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explicit Nef_polyhedron_3(const Plane_3& p, Boundary b = INCLUDED);
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/*{\Mcreate creates a Nef polyhedron |\Mvar| containing the
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halfspace on the negative side of |p| including |p| if |b==INCLUDED|,
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excluding |p| if |b==EXCLUDED|.}*/
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Nef_polyhedron_3(const Nef_polyhedron_3<Kernel,Items, Mark>& N1)
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: Base(N1) , SNC_const_decorator() {
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set_snc(snc());
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}
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Nef_polyhedron_3& operator=(const Nef_polyhedron_3<Kernel,Items, Mark>& N1) {
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Base::operator=(N1);
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set_snc(snc());
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return (*this);
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}
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~Nef_polyhedron_3() {
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CGAL_NEF_TRACEN("~Nef_polyhedron_3: destructor called for snc "<<&snc()<<
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", pl "<<pl());
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}
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// RO: "vertex cycle to Nef" constructor (main part)
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// II input iterator; KN kernel of normal (may differ from Nef kernel)
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template <class II, class KN>
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Nef_polyhedron_3 (II v_first, II v_last,
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const CGAL::Vector_3<KN> &normal, bool verb = false)
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{ CGAL_NEF_TRACEN("construction from vertex cycle (main part)");
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// project and triangulate vertices,
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// convert result to Nef_polyhedron
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CGAL_precondition (!CGAL::is_empty_range (v_first, v_last));
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bool is_nef = vertex_cycle_to_nef_3<Nef_polyhedron> (snc(),
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v_first, v_last, normal, verb);
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if (is_nef)
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{
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// TO DO:
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// Wie kann der eigene point_locator pl() eingebunden werden?
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// Wie kann der Konstruktor umgangen werden?
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typedef CGAL::SNC_point_locator_by_spatial_subdivision
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<CGAL::SNC_decorator<SNC_structure> > Point_locator;
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Point_locator Pl;
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SNC_external_structure es(snc(), &Pl);
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es.build_external_structure();
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*this = Nef_polyhedron(snc(), &Pl);
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}
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else
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{ *this = Nef_polyhedron();
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}
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set_snc (snc());
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CGAL_expensive_postcondition (is_valid());
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}
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// RO: "vertex cycle to Nef" constructor (normal computation)
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template <class II>
|
|
Nef_polyhedron_3 (II v_first, II v_last, bool verb = false)
|
|
{ CGAL_NEF_TRACEN("construction from vertex cycle (normal computation)");
|
|
|
|
// compute normal vector
|
|
CGAL_precondition (!CGAL::is_empty_range (v_first, v_last));
|
|
CGAL::Vector_3<typename II::value_type::R> normal;
|
|
normal_vector_newell_3 (v_first, v_last, normal);
|
|
|
|
// call "main" constructor
|
|
*this = Nef_polyhedron_3 (v_first, v_last, normal, verb);
|
|
set_snc (snc());
|
|
}
|
|
|
|
template<typename Items, typename SNC_structure>
|
|
class Sphere_map_creator {
|
|
typedef typename SNC_structure::SM_decorator SM_decorator;
|
|
typedef typename SNC_structure::Vertex_handle Vertex_handle;
|
|
typedef typename SNC_structure::SVertex_handle SVertex_handle;
|
|
typedef typename SNC_structure::SFace_handle SFace_handle;
|
|
typedef typename SNC_structure::Sphere_point Sphere_point;
|
|
|
|
public:
|
|
Sphere_map_creator() {}
|
|
|
|
template<typename point_iterator>
|
|
void create_end_sphere_map(SNC_structure& snc,
|
|
point_iterator cur,
|
|
point_iterator prev) {
|
|
Vertex_handle v(snc.new_vertex(*cur, true));
|
|
SM_decorator SM(&*v);
|
|
SVertex_handle sv(v->new_svertex(Sphere_point(ORIGIN+(*prev-*cur)),
|
|
true));
|
|
SFace_handle sf(v->new_sface());
|
|
SM.link_as_isolated_vertex(sv,sf);
|
|
}
|
|
|
|
template<typename point_iterator>
|
|
void create_sphere_map(SNC_structure& snc,
|
|
point_iterator cur,
|
|
point_iterator prev,
|
|
point_iterator next) {
|
|
Vertex_handle v(snc.new_vertex(*cur, true));
|
|
SM_decorator SM(&*v);
|
|
SVertex_handle sv1(v->new_svertex(Sphere_point(ORIGIN+(*prev-*cur)),
|
|
true));
|
|
SVertex_handle sv2(v->new_svertex(Sphere_point(ORIGIN+(*next-*cur)),
|
|
true));
|
|
SFace_handle sf(v->new_sface());
|
|
SM.link_as_isolated_vertex(sv1,sf);
|
|
SM.link_as_isolated_vertex(sv2,sf);
|
|
}
|
|
};
|
|
|
|
template<typename SNC_structure>
|
|
class Sphere_map_creator<CGAL::SNC_indexed_items, SNC_structure> {
|
|
typedef typename SNC_structure::SM_decorator SM_decorator;
|
|
typedef typename SNC_structure::Vertex_handle Vertex_handle;
|
|
typedef typename SNC_structure::SVertex_handle SVertex_handle;
|
|
typedef typename SNC_structure::SFace_handle SFace_handle;
|
|
typedef typename SNC_structure::Sphere_point Sphere_point;
|
|
|
|
bool first;
|
|
int index;
|
|
public:
|
|
Sphere_map_creator() : first(true), index(0) {}
|
|
|
|
template<typename point_iterator>
|
|
void create_end_sphere_map(SNC_structure& snc,
|
|
point_iterator cur,
|
|
point_iterator prev) {
|
|
Vertex_handle v(snc.new_vertex(*cur, true));
|
|
SM_decorator SM(&*v);
|
|
SVertex_handle sv(v->new_svertex(Sphere_point(ORIGIN+(*prev-*cur)),
|
|
true));
|
|
SFace_handle sf(v->new_sface());
|
|
SM.link_as_isolated_vertex(sv,sf);
|
|
if(first) {
|
|
sv->set_index();
|
|
index = sv->get_index();
|
|
first = false;
|
|
} else
|
|
sv->set_index(index);
|
|
}
|
|
|
|
template<typename point_iterator>
|
|
void create_sphere_map(SNC_structure& snc,
|
|
point_iterator cur,
|
|
point_iterator prev,
|
|
point_iterator next) {
|
|
Vertex_handle v(snc.new_vertex(*cur, true));
|
|
SM_decorator SM(&*v);
|
|
SVertex_handle sv1(v->new_svertex(Sphere_point(ORIGIN+(*prev-*cur)),
|
|
true));
|
|
SVertex_handle sv2(v->new_svertex(Sphere_point(ORIGIN+(*next-*cur)),
|
|
true));
|
|
SFace_handle sf(v->new_sface());
|
|
SM.link_as_isolated_vertex(sv1,sf);
|
|
SM.link_as_isolated_vertex(sv2,sf);
|
|
sv1->set_index(index);
|
|
sv2->set_index();
|
|
index = sv2->get_index();
|
|
}
|
|
};
|
|
|
|
template <typename InputIterator>
|
|
Nef_polyhedron_3(InputIterator begin, InputIterator end, Polylines_tag) {
|
|
typedef typename std::iterator_traits<InputIterator>::value_type
|
|
point_iterator_pair;
|
|
typedef typename point_iterator_pair::first_type
|
|
point_iterator;
|
|
|
|
empty_rep();
|
|
set_snc(snc());
|
|
initialize_infibox_vertices(EMPTY);
|
|
|
|
point_iterator pbegin, pend, pnext, pprev;
|
|
Sphere_map_creator<Items, SNC_structure> smc;
|
|
for(;begin != end; ++begin) {
|
|
pend = begin->second;
|
|
pprev = pnext = pbegin = begin->first;
|
|
++pnext;
|
|
CGAL_assertion(pnext != pend);
|
|
smc.create_end_sphere_map(snc(),pbegin,pnext);
|
|
for(++pbegin,++pnext; pnext!=pend; ++pbegin,++pprev,++pnext)
|
|
smc.create_sphere_map(snc(),pbegin,pprev,pnext);
|
|
smc.create_end_sphere_map(snc(),pbegin,pprev);
|
|
}
|
|
build_external_structure();
|
|
simplify();
|
|
}
|
|
|
|
explicit
|
|
Nef_polyhedron_3(const Segment_3& s) {
|
|
empty_rep();
|
|
set_snc(snc());
|
|
initialize_infibox_vertices(EMPTY);
|
|
|
|
Sphere_map_creator<Items, SNC_structure> smc;
|
|
std::vector<Point_3> endpoints(2);
|
|
endpoints[0]=s.source();
|
|
endpoints[1]=s.target();
|
|
smc.create_end_sphere_map(snc(),&endpoints[0],&endpoints[1]);
|
|
smc.create_end_sphere_map(snc(),&endpoints[1],&endpoints[0]);
|
|
|
|
build_external_structure();
|
|
simplify();
|
|
}
|
|
|
|
template <typename InputIterator>
|
|
Nef_polyhedron_3(InputIterator begin, InputIterator end, Points_tag) {
|
|
empty_rep();
|
|
set_snc(snc());
|
|
initialize_infibox_vertices(EMPTY);
|
|
|
|
for(InputIterator it=begin; it!=end;++it)
|
|
{
|
|
Vertex_handle v(snc().new_vertex(*it, true));
|
|
SM_decorator SM(&*v);
|
|
v->new_sface();
|
|
}
|
|
build_external_structure();
|
|
simplify();
|
|
}
|
|
|
|
explicit
|
|
Nef_polyhedron_3(const Point_3& p) {
|
|
empty_rep();
|
|
set_snc(snc());
|
|
initialize_infibox_vertices(EMPTY);
|
|
|
|
Vertex_handle v(snc().new_vertex(p, true));
|
|
SM_decorator SM(&*v);
|
|
v->new_sface();
|
|
|
|
build_external_structure();
|
|
simplify();
|
|
}
|
|
|
|
template <class T1, class T2,
|
|
template <class T31, class T32, class T33>
|
|
class T3, class T4 >
|
|
Nef_polyhedron_3( CGAL::Polyhedron_3<T1,T2,T3,T4>& P) {
|
|
CGAL_NEF_TRACEN("construction from Polyhedron_3");
|
|
SNC_structure rsnc;
|
|
*this = Nef_polyhedron_3(rsnc, new SNC_point_locator_default, false);
|
|
initialize_infibox_vertices(EMPTY);
|
|
polyhedron_3_to_nef_3
|
|
<CGAL::Polyhedron_3<T1,T2,T3,T4>, SNC_structure>( P, snc());
|
|
build_external_structure();
|
|
simplify();
|
|
CGAL::Mark_bounded_volumes<Nef_polyhedron_3> mbv(true);
|
|
delegate(mbv);
|
|
set_snc(snc());
|
|
}
|
|
|
|
template <class PolygonMesh>
|
|
explicit Nef_polyhedron_3(const PolygonMesh& pm) {
|
|
CGAL_NEF_TRACEN("construction from PolygonMesh with internal index maps");
|
|
SNC_structure rsnc;
|
|
*this = Nef_polyhedron_3(rsnc, new SNC_point_locator_default, false);
|
|
initialize_infibox_vertices(EMPTY);
|
|
polygon_mesh_to_nef_3<PolygonMesh, SNC_structure>(const_cast<PolygonMesh&>(pm), snc());
|
|
build_external_structure();
|
|
simplify();
|
|
CGAL::Mark_bounded_volumes<Nef_polyhedron_3> mbv(true);
|
|
delegate(mbv);
|
|
set_snc(snc());
|
|
}
|
|
|
|
template <class PolygonMesh, class HalfedgeIndexMap, class FaceIndexMap>
|
|
explicit Nef_polyhedron_3(const PolygonMesh& pm,
|
|
const HalfedgeIndexMap& him,
|
|
const FaceIndexMap& fim,
|
|
typename boost::disable_if <
|
|
boost::is_same<FaceIndexMap, bool>
|
|
>::type* = nullptr // disambiguate with another constructor
|
|
)
|
|
{
|
|
CGAL_NEF_TRACEN("construction from PolygonMesh");
|
|
SNC_structure rsnc;
|
|
*this = Nef_polyhedron_3(rsnc, new SNC_point_locator_default, false);
|
|
initialize_infibox_vertices(EMPTY);
|
|
polygon_mesh_to_nef_3<PolygonMesh, SNC_structure>(const_cast<PolygonMesh&>(pm), snc(), fim, him);
|
|
build_external_structure();
|
|
simplify();
|
|
CGAL::Mark_bounded_volumes<Nef_polyhedron_3> mbv(true);
|
|
delegate(mbv);
|
|
set_snc(snc());
|
|
}
|
|
|
|
Nef_polyhedron_3(const Nef_polyhedron& N,
|
|
SFace_const_iterator sf)
|
|
{
|
|
SNC_structure rsnc;
|
|
*this = Nef_polyhedron_3(rsnc, new SNC_point_locator_default, false);
|
|
initialize_infibox_vertices(EMPTY);
|
|
shell_to_nef_3(N, sf, snc());
|
|
build_external_structure();
|
|
simplify();
|
|
CGAL::Mark_bounded_volumes<Nef_polyhedron_3> mbv(true);
|
|
delegate(mbv);
|
|
set_snc(snc());
|
|
}
|
|
|
|
|
|
protected:
|
|
|
|
template<typename Kernel>
|
|
class Triangulation_handler2 {
|
|
|
|
typedef typename CGAL::Triangulation_vertex_base_2<Kernel> Vb;
|
|
typedef typename CGAL::Constrained_triangulation_face_base_2<Kernel> Fb;
|
|
typedef typename CGAL::Triangulation_data_structure_2<Vb,Fb> TDS;
|
|
typedef typename CGAL::Constrained_triangulation_2<Kernel,TDS> CT;
|
|
|
|
typedef typename CT::Face_handle Face_handle;
|
|
typedef typename CT::Vertex_handle CTVertex_handle;
|
|
typedef typename CT::Finite_faces_iterator Finite_face_iterator;
|
|
typedef typename CT::Edge Edge;
|
|
|
|
CT ct;
|
|
CGAL::Unique_hash_map<Face_handle, bool> visited;
|
|
CGAL::Unique_hash_map<CTVertex_handle, Vertex_const_handle> ctv2v;
|
|
Finite_face_iterator fi;
|
|
Plane_3 supporting_plane;
|
|
|
|
public:
|
|
Triangulation_handler2(Halffacet_const_handle f) :
|
|
visited(false), supporting_plane(f->plane()) {
|
|
|
|
Halffacet_cycle_const_iterator fci;
|
|
for(fci=f->facet_cycles_begin(); fci!=f->facet_cycles_end(); ++fci) {
|
|
if(fci.is_shalfedge()) {
|
|
SHalfedge_around_facet_const_circulator sfc(fci), send(sfc);
|
|
CGAL_For_all(sfc,send) {
|
|
CGAL_NEF_TRACEN(" insert point" << sfc->source()->source()->point());
|
|
CTVertex_handle ctv = ct.insert(sfc->source()->source()->point());
|
|
ctv2v[ctv] = sfc->source()->source();
|
|
}
|
|
}
|
|
}
|
|
|
|
for(fci=f->facet_cycles_begin(); fci!=f->facet_cycles_end(); ++fci) {
|
|
if(fci.is_shalfedge()) {
|
|
SHalfedge_around_facet_const_circulator sfc(fci), send(sfc);
|
|
CGAL_For_all(sfc,send) {
|
|
CGAL_NEF_TRACEN(" insert constraint" << sfc->source()->source()->point()
|
|
<< "->" << sfc->source()->twin()->source()->point());
|
|
ct.insert_constraint(sfc->source()->source()->point(),
|
|
sfc->source()->twin()->source()->point());
|
|
}
|
|
}
|
|
}
|
|
CGAL_assertion(ct.is_valid());
|
|
|
|
CGAL_NEF_TRACEN("number of finite triangles " << ct.number_of_faces());
|
|
|
|
typename CT::Face_handle infinite = ct.infinite_face();
|
|
typename CT::Vertex_handle ctv = infinite->vertex(1);
|
|
if(ct.is_infinite(ctv)) ctv = infinite->vertex(2);
|
|
CGAL_assertion(!ct.is_infinite(ctv));
|
|
|
|
typename CT::Face_handle opposite;
|
|
typename CT::Face_circulator vc(ctv,infinite);
|
|
do { opposite = vc++;
|
|
} while(!ct.is_constrained(typename CT::Edge(vc,vc->index(opposite))));
|
|
typename CT::Face_handle first = vc;
|
|
|
|
CGAL_assertion(!ct.is_infinite(first));
|
|
traverse_triangulation(first, first->index(opposite));
|
|
|
|
fi = ct.finite_faces_begin();
|
|
}
|
|
|
|
void traverse_triangulation(Face_handle f, int parent) {
|
|
visited[f] = true;
|
|
if(!ct.is_constrained(Edge(f,ct.cw(parent))) && !visited[f->neighbor(ct.cw(parent))]) {
|
|
Face_handle child(f->neighbor(ct.cw(parent)));
|
|
traverse_triangulation(child, child->index(f));
|
|
}
|
|
if(!ct.is_constrained(Edge(f,ct.ccw(parent))) && !visited[f->neighbor(ct.ccw(parent))]) {
|
|
Face_handle child(f->neighbor(ct.ccw(parent)));
|
|
traverse_triangulation(child, child->index(f));
|
|
}
|
|
}
|
|
|
|
template<typename Triangle_3>
|
|
bool get_next_triangle(Triangle_3& tr) {
|
|
while(fi != ct.finite_faces_end() && visited[fi] == false) ++fi;
|
|
if(fi == ct.finite_faces_end()) return false;
|
|
tr = Triangle_3(fi->vertex(0)->point(), fi->vertex(1)->point(), fi->vertex(2)->point());
|
|
++fi;
|
|
return true;
|
|
}
|
|
|
|
bool same_orientation(Plane_3 p1) const {
|
|
if(p1.a() != 0)
|
|
return CGAL::sign(p1.a()) == CGAL::sign(supporting_plane.a());
|
|
if(p1.b() != 0)
|
|
return CGAL::sign(p1.b()) == CGAL::sign(supporting_plane.b());
|
|
return CGAL::sign(p1.c()) == CGAL::sign(supporting_plane.c());
|
|
}
|
|
|
|
template<typename PIB, typename Index>
|
|
void handle_triangles(PIB& pib, Index& VI) {
|
|
while(fi != ct.finite_faces_end() && visited[fi] == false) ++fi;
|
|
while(fi != ct.finite_faces_end()) {
|
|
Plane_3 plane(fi->vertex(0)->point(),
|
|
fi->vertex(1)->point(),
|
|
fi->vertex(2)->point());
|
|
pib.begin_facet();
|
|
if(same_orientation(plane)) {
|
|
pib.add_vertex_to_facet(VI[ctv2v[fi->vertex(0)]]);
|
|
pib.add_vertex_to_facet(VI[ctv2v[fi->vertex(1)]]);
|
|
pib.add_vertex_to_facet(VI[ctv2v[fi->vertex(2)]]);
|
|
} else {
|
|
pib.add_vertex_to_facet(VI[ctv2v[fi->vertex(0)]]);
|
|
pib.add_vertex_to_facet(VI[ctv2v[fi->vertex(2)]]);
|
|
pib.add_vertex_to_facet(VI[ctv2v[fi->vertex(1)]]);
|
|
}
|
|
pib.end_facet();
|
|
do {
|
|
++fi;
|
|
} while(fi != ct.finite_faces_end() && visited[fi] == false);
|
|
}
|
|
}
|
|
};
|
|
|
|
template <class HDS>
|
|
class Build_polyhedron : public CGAL::Modifier_base<HDS> {
|
|
|
|
class Visitor {
|
|
|
|
typedef typename CGAL::Projection_traits_xy_3<Kernel> XY;
|
|
typedef typename CGAL::Projection_traits_yz_3<Kernel> YZ;
|
|
typedef typename CGAL::Projection_traits_xz_3<Kernel> XZ;
|
|
|
|
const Object_index<Vertex_const_iterator>& VI;
|
|
Polyhedron_incremental_builder_3<HDS>& B;
|
|
const SNC_const_decorator& D;
|
|
|
|
public:
|
|
Visitor(Polyhedron_incremental_builder_3<HDS>& BB,
|
|
const SNC_const_decorator& sd,
|
|
Object_index<Vertex_const_iterator>& vi) : VI(vi), B(BB), D(sd){}
|
|
|
|
void visit(Halffacet_const_handle opposite_facet) {
|
|
|
|
CGAL_NEF_TRACEN("Build_polyhedron: visit facet " << opposite_facet->plane());
|
|
|
|
CGAL_assertion(Infi_box::is_standard(opposite_facet->plane()));
|
|
|
|
SHalfedge_const_handle se;
|
|
Halffacet_cycle_const_iterator fc;
|
|
|
|
Halffacet_const_handle f = opposite_facet->twin();
|
|
|
|
SHalfedge_around_facet_const_circulator
|
|
sfc1(f->facet_cycles_begin()), sfc2(sfc1);
|
|
|
|
if(++f->facet_cycles_begin() != f->facet_cycles_end() ||
|
|
++(++(++sfc1)) != sfc2) {
|
|
Vector_3 orth = f->plane().orthogonal_vector();
|
|
int c = CGAL::abs(orth[0]) > CGAL::abs(orth[1]) ? 0 : 1;
|
|
c = CGAL::abs(orth[2]) > CGAL::abs(orth[c]) ? 2 : c;
|
|
|
|
if(c == 0) {
|
|
Triangulation_handler2<YZ> th(f);
|
|
th.handle_triangles(B, VI);
|
|
} else if(c == 1) {
|
|
Triangulation_handler2<XZ> th(f);
|
|
th.handle_triangles(B, VI);
|
|
} else if(c == 2) {
|
|
Triangulation_handler2<XY> th(f);
|
|
th.handle_triangles(B, VI);
|
|
} else
|
|
CGAL_error_msg( "wrong value");
|
|
|
|
} else {
|
|
|
|
B.begin_facet();
|
|
fc = f->facet_cycles_begin();
|
|
se = SHalfedge_const_handle(fc);
|
|
CGAL_assertion(se!=0);
|
|
SHalfedge_around_facet_const_circulator hc_start(se);
|
|
SHalfedge_around_facet_const_circulator hc_end(hc_start);
|
|
CGAL_For_all(hc_start,hc_end) {
|
|
CGAL_NEF_TRACEN(" add vertex " << hc_start->source()->center_vertex()->point());
|
|
B.add_vertex_to_facet(VI[hc_start->source()->center_vertex()]);
|
|
}
|
|
B.end_facet();
|
|
}
|
|
}
|
|
|
|
void visit(SFace_const_handle) {}
|
|
void visit(Halfedge_const_handle) {}
|
|
void visit(Vertex_const_handle) {}
|
|
void visit(SHalfedge_const_handle) {}
|
|
void visit(SHalfloop_const_handle) {}
|
|
};
|
|
|
|
public:
|
|
|
|
const SNC_const_decorator& scd;
|
|
Object_index<Vertex_const_iterator> VI;
|
|
|
|
Build_polyhedron(const SNC_const_decorator& s) :
|
|
scd(s), VI(s.vertices_begin(),s.vertices_end(),'V') {}
|
|
|
|
void operator()( HDS& hds) {
|
|
|
|
Polyhedron_incremental_builder_3<HDS> B(hds, true);
|
|
|
|
int skip_volumes;
|
|
if(Infi_box::extended_kernel()) {
|
|
B.begin_surface(scd.number_of_vertices()-8,
|
|
scd.number_of_facets()-6,
|
|
scd.number_of_edges()-12);
|
|
skip_volumes = 2;
|
|
}
|
|
else {
|
|
B.begin_surface(scd.number_of_vertices(),
|
|
2*scd.number_of_vertices()-4,
|
|
3*scd.number_of_vertices()-6);
|
|
skip_volumes = 1;
|
|
}
|
|
|
|
int vertex_index = 0;
|
|
Vertex_const_iterator v;
|
|
CGAL_forall_vertices(v,scd) {
|
|
if(Infi_box::is_standard(v->point())) {
|
|
VI[v]=vertex_index++;
|
|
B.add_vertex(v->point());
|
|
}
|
|
}
|
|
|
|
Visitor V(B,scd,VI);
|
|
Volume_const_handle c;
|
|
CGAL_forall_volumes(c,scd)
|
|
if(skip_volumes-- <= 0)
|
|
scd.visit_shell_objects(SFace_const_handle(c->shells_begin()),V);
|
|
B.end_surface();
|
|
if ( B.error() ) B.rollback();
|
|
}
|
|
|
|
};
|
|
|
|
template <class HDS>
|
|
class Build_polyhedron2 : public CGAL::Modifier_base<HDS> {
|
|
|
|
class Find_holes {
|
|
|
|
Unique_hash_map<Vertex_const_handle, bool>& omit_vertex;
|
|
int nov, nof;
|
|
|
|
public:
|
|
Find_holes(Unique_hash_map<Vertex_const_handle, bool>& omit_vertex_)
|
|
: omit_vertex(omit_vertex_), nov(0), nof(0) {}
|
|
|
|
void visit(Halffacet_const_handle f) {
|
|
++nof;
|
|
Halffacet_cycle_const_iterator fc = f->facet_cycles_begin();
|
|
for(++fc; fc != f->facet_cycles_end(); ++fc) {
|
|
if(fc.is_shalfedge()) {
|
|
--nof;
|
|
SHalfedge_around_facet_const_circulator
|
|
sfc(fc), send(sfc);
|
|
CGAL_For_all(sfc, send) {
|
|
omit_vertex[sfc->source()->source()] = true;
|
|
--nov;
|
|
}
|
|
} else if(fc.is_shalfloop()) {
|
|
SHalfloop_const_handle sl(fc);
|
|
omit_vertex[sl->incident_sface()->center_vertex()];
|
|
--nov;
|
|
} else
|
|
CGAL_error_msg( "wrong handle type");
|
|
}
|
|
}
|
|
|
|
void visit(Vertex_const_handle) { ++nov; }
|
|
void visit(SFace_const_handle) {}
|
|
void visit(Halfedge_const_handle) {}
|
|
void visit(SHalfedge_const_handle) {}
|
|
void visit(SHalfloop_const_handle) {}
|
|
|
|
int number_of_vertices() const {
|
|
return nov;
|
|
}
|
|
|
|
int number_of_facets() const {
|
|
return nof;
|
|
}
|
|
};
|
|
|
|
class Add_vertices {
|
|
|
|
Polyhedron_incremental_builder_3<HDS>& B;
|
|
Unique_hash_map<Vertex_const_handle, bool>& omit_vertex;
|
|
Object_index<Vertex_const_iterator>& VI;
|
|
int vertex_index;
|
|
|
|
public:
|
|
Add_vertices(Polyhedron_incremental_builder_3<HDS>& B_,
|
|
Unique_hash_map<Vertex_const_handle, bool>& omit_vertex_,
|
|
Object_index<Vertex_const_iterator>& VI_)
|
|
: B(B_), omit_vertex(omit_vertex_), VI(VI_), vertex_index(0) {}
|
|
|
|
void visit(Vertex_const_handle v) {
|
|
if(omit_vertex[v]) return;
|
|
VI[v]=vertex_index++;
|
|
B.add_vertex(v->point());
|
|
}
|
|
|
|
void visit(Halffacet_const_handle) {}
|
|
void visit(SFace_const_handle) {}
|
|
void visit(Halfedge_const_handle) {}
|
|
void visit(SHalfedge_const_handle) {}
|
|
void visit(SHalfloop_const_handle) {}
|
|
|
|
};
|
|
|
|
class Visitor {
|
|
|
|
const Object_index<Vertex_const_iterator>& VI;
|
|
Polyhedron_incremental_builder_3<HDS>& B;
|
|
const Unique_hash_map<Vertex_const_handle, bool>& omit_vertex;
|
|
SNC_const_decorator& D;
|
|
|
|
public:
|
|
Visitor(Polyhedron_incremental_builder_3<HDS>& BB,
|
|
const Unique_hash_map<Vertex_const_handle, bool>& omit_vertex_,
|
|
SNC_const_decorator& sd,
|
|
Object_index<Vertex_const_iterator>& vi)
|
|
: VI(vi), B(BB), omit_vertex(omit_vertex_), D(sd){}
|
|
|
|
void visit(Halffacet_const_handle opposite_facet) {
|
|
|
|
CGAL_NEF_TRACEN("Build_polyhedron: visit facet " << opposite_facet->plane());
|
|
|
|
CGAL_assertion(Infi_box::is_standard(opposite_facet->plane()));
|
|
|
|
SHalfedge_const_handle se;
|
|
Halffacet_cycle_const_iterator fc;
|
|
|
|
Halffacet_const_handle f = opposite_facet->twin();
|
|
|
|
fc = f->facet_cycles_begin();
|
|
se = SHalfedge_const_handle(fc);
|
|
CGAL_assertion(se!=0);
|
|
if(omit_vertex[se->source()->source()]) return;
|
|
B.begin_facet();
|
|
SHalfedge_around_facet_const_circulator hc_start(se);
|
|
SHalfedge_around_facet_const_circulator hc_end(hc_start);
|
|
CGAL_For_all(hc_start,hc_end) {
|
|
CGAL_NEF_TRACEN(" add vertex " << hc_start->source()->center_vertex()->point());
|
|
B.add_vertex_to_facet(VI[hc_start->source()->center_vertex()]);
|
|
}
|
|
B.end_facet();
|
|
}
|
|
|
|
void visit(SFace_const_handle) {}
|
|
void visit(Halfedge_const_handle) {}
|
|
void visit(Vertex_const_handle) {}
|
|
void visit(SHalfedge_const_handle) {}
|
|
void visit(SHalfloop_const_handle) {}
|
|
};
|
|
|
|
public:
|
|
|
|
SFace_const_handle sf;
|
|
SNC_const_decorator& scd;
|
|
Object_index<Vertex_const_iterator> VI;
|
|
Unique_hash_map<Vertex_const_handle, bool> omit_vertex;
|
|
|
|
Build_polyhedron2(SFace_const_handle sf_, SNC_const_decorator& s) :
|
|
sf(sf_), scd(s), VI(s.vertices_begin(),s.vertices_end(),'V'),
|
|
omit_vertex(false) {}
|
|
|
|
void operator()(HDS& hds) {
|
|
|
|
Polyhedron_incremental_builder_3<HDS> B(hds, true);
|
|
|
|
Find_holes F(omit_vertex);
|
|
scd.visit_shell_objects(sf, F);
|
|
|
|
B.begin_surface(F.number_of_vertices(),
|
|
F.number_of_facets(),
|
|
F.number_of_vertices()+F.number_of_facets()-2);
|
|
|
|
Add_vertices A(B,omit_vertex, VI);
|
|
scd.visit_shell_objects(sf, A);
|
|
|
|
Visitor V(B,omit_vertex, scd,VI);
|
|
scd.visit_shell_objects(sf, V);
|
|
B.end_surface();
|
|
if ( B.error() ) B.rollback();
|
|
}
|
|
|
|
};
|
|
|
|
|
|
public:
|
|
void delegate( Modifier_base<SNC_structure>& modifier,
|
|
bool compute_external = false,
|
|
bool do_simplify = true) {
|
|
|
|
// calls the `operator()' of the `modifier'. Precondition: The
|
|
// `modifier' returns a consistent representation.
|
|
if( this->is_shared()) clone_rep();
|
|
modifier(snc());
|
|
if(compute_external) {
|
|
SNC_external_structure es(snc());
|
|
es.clear_external_structure();
|
|
|
|
build_external_structure();
|
|
}
|
|
if(do_simplify)
|
|
simplify();
|
|
CGAL_expensive_postcondition( is_valid());
|
|
}
|
|
|
|
struct SNC_and_PL {
|
|
SNC_structure* sncp;
|
|
SNC_point_locator* pl;
|
|
|
|
SNC_and_PL(SNC_structure* s, SNC_point_locator* p) : sncp(s), pl(p) {}
|
|
};
|
|
|
|
void delegate( Modifier_base<SNC_and_PL>& modifier,
|
|
bool compute_external = false,
|
|
bool do_simplify = false) {
|
|
// calls the `operator()' of the `modifier'. Precondition: The
|
|
// `modifier' returns a consistent representation.
|
|
if( this->is_shared()) clone_rep();
|
|
SNC_and_PL sncpl(&snc(),pl());
|
|
modifier(sncpl);
|
|
pl() = sncpl.pl;
|
|
if(compute_external) {
|
|
SNC_external_structure es(snc());
|
|
es.clear_external_structure();
|
|
build_external_structure();
|
|
}
|
|
if(do_simplify)
|
|
simplify();
|
|
CGAL_expensive_postcondition( is_valid());
|
|
}
|
|
|
|
public:
|
|
|
|
template<typename Polyhedron>
|
|
void convert_to_Polyhedron(Polyhedron& P) const {
|
|
convert_to_polyhedron(P);
|
|
}
|
|
|
|
template<typename Polyhedron>
|
|
void convert_to_polyhedron(Polyhedron& P) const {
|
|
typedef typename Polyhedron::HalfedgeDS HalfedgeDS;
|
|
CGAL_precondition(is_simple());
|
|
P.clear();
|
|
Build_polyhedron<HalfedgeDS> bp(*this);
|
|
P.delegate(bp);
|
|
}
|
|
|
|
template<typename Polyhedron>
|
|
void convert_inner_shell_to_polyhedron(SFace_const_iterator sf, Polyhedron& P) {
|
|
typedef typename Polyhedron::HalfedgeDS HalfedgeDS;
|
|
P.clear();
|
|
Build_polyhedron2<HalfedgeDS> bp(sf, *this);
|
|
P.delegate(bp);
|
|
}
|
|
|
|
bool is_valid( bool verb = false, int level = 0) {
|
|
// checks the combinatorial consistency.
|
|
Verbose_ostream verr(verb);
|
|
verr << "begin CGAL::Nef_polyhedron_3<...>::is_valid( verb=true, "
|
|
"level = " << level << "):" << std::endl;
|
|
|
|
SNC_decorator D(snc());
|
|
bool valid = D.is_valid(verb, level);
|
|
verr << "end of CGAL::Nef_polyhedron_3<...>::is_valid(): structure is "
|
|
<< ( valid ? "valid." : "NOT VALID.") << std::endl;
|
|
return valid;
|
|
}
|
|
|
|
bool is_simple() const {
|
|
|
|
Halfedge_const_iterator e;
|
|
CGAL_forall_edges(e,snc())
|
|
if(!is_edge_2manifold(e))
|
|
return false;
|
|
|
|
CGAL_NEF_TRACEN("there is no edge with non-manifold situation");
|
|
|
|
Vertex_const_iterator v;
|
|
CGAL_forall_vertices(v,snc())
|
|
if(!is_vertex_2manifold(v))
|
|
return false;
|
|
|
|
CGAL_NEF_TRACEN("there is no vertex with non-manifold situation");
|
|
/*
|
|
Halffacet_iterator f;
|
|
CGAL_forall_halffacets(f,snc())
|
|
if(!is_facet_simple(f))
|
|
return false;
|
|
|
|
CGAL_NEF_TRACEN("there are no holes");
|
|
*/
|
|
return true;
|
|
}
|
|
|
|
bool is_convex() const {
|
|
|
|
Vertex_const_iterator v;
|
|
CGAL_forall_vertices(v, *this) {
|
|
|
|
SM_const_decorator SD(&*v);
|
|
if(std::distance(SD.sfaces_begin(),SD.sfaces_end())!=2)
|
|
return false;
|
|
|
|
if(!Infi_box::is_standard(v->point())) continue;
|
|
|
|
SFace_const_iterator sf;
|
|
CGAL_forall_sfaces(sf,SD) {
|
|
if(sf->volume() == Infi_box::getNirvana(snc())) continue;
|
|
if(std::distance(sf->sface_cycles_begin(),sf->sface_cycles_end())!=1)
|
|
return false;
|
|
SFace_cycle_const_iterator sfi(sf->sface_cycles_begin());
|
|
if(!sfi.is_shalfedge())
|
|
return false;
|
|
SHalfedge_const_handle se(sf->sface_cycles_begin());
|
|
SHalfedge_around_sface_const_circulator sec(se),send(sec);
|
|
CGAL_For_all(sec,send)
|
|
if(spherical_orientation(sec->source()->point(),
|
|
sec->snext()->source()->point(),
|
|
sec->snext()->snext()->source()->point())<0) {
|
|
std::cerr << "vertex at " << v->point() << " is not convex" << std::endl;
|
|
return false;
|
|
}
|
|
}
|
|
}
|
|
return true;
|
|
}
|
|
|
|
private:
|
|
bool is_edge_2manifold(const Halfedge_const_handle& e) const {
|
|
|
|
SM_decorator SD;
|
|
SHalfedge_around_svertex_const_circulator c(SD.first_out_edge(e)), c2(c);
|
|
|
|
if(c == 0) {
|
|
CGAL_assertion(circulator_size(c) !=2);
|
|
return false;
|
|
}
|
|
|
|
if(++c == c2){
|
|
CGAL_assertion(circulator_size(c) !=2);
|
|
return false;
|
|
}
|
|
|
|
if(++c != c2) {
|
|
CGAL_assertion(circulator_size(c) !=2);
|
|
return false;
|
|
}
|
|
|
|
CGAL_assertion(circulator_size(c) == 2);
|
|
return true;
|
|
}
|
|
|
|
bool is_vertex_2manifold(const Vertex_const_handle& v) const {
|
|
|
|
SFace_const_iterator sfi(v->sfaces_begin());
|
|
if (++sfi != v->sfaces_last())
|
|
return false;
|
|
|
|
return true;
|
|
}
|
|
|
|
bool is_facet_simple(const Halffacet_const_handle& f) const {
|
|
|
|
bool found_first = false;
|
|
Halffacet_cycle_const_iterator it;
|
|
CGAL_forall_facet_cycles_of(it,f)
|
|
if (found_first || !it.is_shalfedge())
|
|
return false;
|
|
else
|
|
found_first = true;
|
|
|
|
return true;
|
|
}
|
|
|
|
public:
|
|
|
|
void clear(Content space = EMPTY)
|
|
{ *this = Nef_polyhedron_3(space); }
|
|
/*{\Mop makes |\Mvar| the empty set if |space == EMPTY| and the
|
|
full space if |space == COMPLETE|.}*/
|
|
|
|
bool is_empty() const {
|
|
/*{\Mop returns true if |\Mvar| is empty, false otherwise.}*/
|
|
if(Infi_box::extended_kernel())
|
|
return this->number_of_vertices() == 8 &&
|
|
this->number_of_edges() == 12 &&
|
|
this->number_of_facets() == 6 &&
|
|
this->number_of_volumes() == 2 &&
|
|
(++this->volumes_begin())->mark() == false;
|
|
|
|
else
|
|
return this->number_of_vertices() == 0 &&
|
|
this->number_of_edges() == 0 &&
|
|
this->number_of_facets() == 0 &&
|
|
this->number_of_volumes() == 1 &&
|
|
(this->volumes_begin())->mark() == false;
|
|
}
|
|
|
|
bool is_space() const {
|
|
/*{\Mop returns true if |\Mvar| is the whole space, false otherwise.}*/
|
|
if(Infi_box::extended_kernel())
|
|
return this->number_of_vertices() == 8 &&
|
|
this->number_of_edges() == 12 &&
|
|
this->number_of_facets() == 6 &&
|
|
this->number_of_volumes() == 2 &&
|
|
(++this->volumes_begin())->mark() == true;
|
|
|
|
else
|
|
return this->number_of_vertices() == 0 &&
|
|
this->number_of_edges() == 0 &&
|
|
this->number_of_facets() == 0 &&
|
|
this->number_of_volumes() == 1 &&
|
|
(this->volumes_begin())->mark() == true;
|
|
}
|
|
|
|
/*{\Xtext \headerline{Destructive Operations}}*/
|
|
|
|
protected:
|
|
void clone_rep() { *this = Nef_polyhedron_3<Kernel,Items, Mark>(snc(), pl()); }
|
|
void empty_rep() {
|
|
SNC_structure rsnc;
|
|
delete pl();
|
|
*this = Nef_polyhedron_3<Kernel,Items, Mark>(rsnc, new SNC_point_locator_default,false);
|
|
}
|
|
|
|
public:
|
|
Nef_polyhedron_3( const SNC_structure& W,
|
|
SNC_point_locator* _pl = new SNC_point_locator_default,
|
|
bool clone_pl = true,
|
|
bool clone_snc = true);
|
|
|
|
/*{\Xcreate makes |\Mvar| a new object. If |cloneit==true| then the
|
|
underlying structure of |W| is copied into |\Mvar|.}*/
|
|
// TODO: granados: define behavior when clone=false
|
|
|
|
/*{\Moperations 4 3 }*/
|
|
|
|
void simplify() {
|
|
SNC_simplify simp(snc());
|
|
bool simplified = simp.simplify();
|
|
CGAL_NEF_TRACEN( "simplify(): structure simplified? "<<simplified);
|
|
|
|
if( simplified) {
|
|
#ifdef CGAL_NEF3_UPDATE_K3TREE_AFTER_SIMPLIFICATION
|
|
/*debug*/ snc().print_statistics();
|
|
Unique_hash_map<Vertex_handle, bool>
|
|
V(false, snc().number_of_vertices());
|
|
Unique_hash_map<Halfedge_handle, bool>
|
|
E(false, snc().number_of_halfedges());
|
|
Unique_hash_map<Halffacet_handle, bool>
|
|
F(false, snc().number_of_halffacets());
|
|
Vertex_iterator v;
|
|
Halfedge_iterator e;
|
|
Halffacet_iterator f;
|
|
CGAL_forall_vertices( v, snc()) V[Vertex_handle(v)] = true;
|
|
CGAL_forall_halfedges( e, snc()) E[Halfedge_handle(e)] = true;
|
|
CGAL_forall_halffacets( f, snc()) F[Halffacet_handle(f)] = true;
|
|
bool updated = pl()->update( V, E, F);
|
|
CGAL_NEF_TRACEN("simplify(): point locator structure updated? " << updated);
|
|
#else
|
|
SNC_point_locator* old_pl = pl();
|
|
pl() = pl()->clone();
|
|
pl()->initialize(&snc());
|
|
delete old_pl;
|
|
#endif
|
|
}
|
|
}
|
|
|
|
public:
|
|
Nef_polyhedron_S2 get_sphere_map(Vertex_const_handle v) const {
|
|
return Nef_polyhedron_S2(*v);
|
|
}
|
|
|
|
void extract_complement();
|
|
/*{\Xop converts |\Mvar| to its complement. }*/
|
|
void extract_interior();
|
|
/*{\Xop converts |\Mvar| to its interior. }*/
|
|
void extract_boundary();
|
|
/*{\Xop converts |\Mvar| to its boundary. }*/
|
|
|
|
void extract_closure()
|
|
/*{\Xop converts |\Mvar| to its closure. }*/
|
|
{ CGAL_NEF_TRACEN("extract closure");
|
|
if( this->is_shared()) clone_rep();
|
|
extract_complement();
|
|
extract_interior();
|
|
extract_complement();
|
|
}
|
|
|
|
void extract_regularization()
|
|
/*{\Xop converts |\Mvar| to its regularization. }*/
|
|
{ CGAL_NEF_TRACEN("extract regularization");
|
|
if( this->is_shared()) clone_rep();
|
|
extract_interior();
|
|
extract_closure();
|
|
}
|
|
|
|
/*{\Mtext \headerline{Constructive Operations}}*/
|
|
|
|
Nef_polyhedron_3<Kernel,Items, Mark> complement() const
|
|
/*{\Mop returns the complement of |\Mvar| in the plane. }*/
|
|
{ Nef_polyhedron_3<Kernel,Items, Mark> res = *this;
|
|
res.extract_complement();
|
|
return res;
|
|
}
|
|
|
|
Nef_polyhedron_3<Kernel,Items, Mark> interior() const
|
|
/*{\Mop returns the interior of |\Mvar|. }*/
|
|
{ Nef_polyhedron_3<Kernel,Items, Mark> res = *this;
|
|
res.extract_interior();
|
|
return res;
|
|
}
|
|
|
|
Nef_polyhedron_3<Kernel,Items, Mark> closure() const
|
|
/*{\Mop returns the closure of |\Mvar|. }*/
|
|
{ Nef_polyhedron_3<Kernel,Items, Mark> res = *this;
|
|
res.extract_closure();
|
|
return res;
|
|
}
|
|
|
|
Nef_polyhedron_3<Kernel,Items, Mark> boundary() const
|
|
/*{\Mop returns the boundary of |\Mvar|. }*/
|
|
{ Nef_polyhedron_3<Kernel,Items, Mark> res = *this;
|
|
res.extract_boundary();
|
|
return res;
|
|
}
|
|
|
|
Nef_polyhedron_3<Kernel,Items, Mark> regularization() const
|
|
/*{\Mop returns the regularized polyhedron (closure of
|
|
the interior).}*/
|
|
{ Nef_polyhedron_3<Kernel,Items, Mark> res = *this;
|
|
res.extract_regularization();
|
|
return res;
|
|
}
|
|
|
|
Nef_polyhedron_3<Kernel,Items, Mark>
|
|
intersection(const Nef_polyhedron_3<Kernel,Items, Mark>& N1) const
|
|
/*{\Mop returns |\Mvar| $\cap$ |N1|. }*/ {
|
|
CGAL_NEF_TRACEN(" intersection between nef3 "<<&*this<<" and "<<&N1);
|
|
if (is_empty()) return *this;
|
|
if (N1.is_empty()) return N1;
|
|
if (is_space()) return N1;
|
|
if (N1.is_space()) return *this;
|
|
AND _and;
|
|
SNC_structure rsnc;
|
|
Nef_polyhedron_3<Kernel,Items, Mark> res(rsnc, new SNC_point_locator_default, false);
|
|
Binary_operation bo( res.snc());
|
|
bo(res.pl(), snc(), pl(), N1.snc(), N1.pl(), _and);
|
|
return res;
|
|
}
|
|
|
|
Nef_polyhedron_3<Kernel,Items, Mark>
|
|
intersection(const Plane_3& plane,
|
|
Intersection_mode im) const {
|
|
AND _and;
|
|
SNC_structure rsnc;
|
|
Nef_polyhedron_3<Kernel,Items, Mark> res(rsnc, new SNC_point_locator_default, false);
|
|
Combine_with_halfspace cwh(res.snc(), res.pl());
|
|
cwh.combine_with_halfspace(snc(), plane, _and,
|
|
static_cast<typename Combine_with_halfspace::Intersection_mode>(im));
|
|
return res;
|
|
}
|
|
|
|
Nef_polyhedron_3<Kernel,Items, Mark>
|
|
join(const Nef_polyhedron_3<Kernel,Items, Mark>& N1) const
|
|
/*{\Mop returns |\Mvar| $\cup$ |N1|. }*/ {
|
|
CGAL_NEF_TRACEN(" join between nef3 "<<&*this<<" and "<<&N1);
|
|
if (is_empty()) return N1;
|
|
if (N1.is_empty()) return *this;
|
|
if (is_space()) return *this;
|
|
if (N1.is_space()) return N1;
|
|
OR _or;
|
|
//CGAL::binop_intersection_tests_allpairs<SNC_decorator, OR> tests_impl;
|
|
SNC_structure rsnc;
|
|
Nef_polyhedron_3<Kernel,Items, Mark> res(rsnc, new SNC_point_locator_default, false);
|
|
Binary_operation bo(res.snc());
|
|
bo(res.pl(), snc(), pl(), N1.snc(), N1.pl(), _or);
|
|
return res;
|
|
}
|
|
|
|
Nef_polyhedron_3<Kernel,Items, Mark>
|
|
difference(const Nef_polyhedron_3<Kernel,Items, Mark>& N1) const
|
|
/*{\Mop returns |\Mvar| $-$ |N1|. }*/ {
|
|
CGAL_NEF_TRACEN(" difference between nef3 "<<&*this<<" and "<<&N1);
|
|
if (is_empty()) return *this;
|
|
if (N1.is_empty()) return *this;
|
|
if (is_space()) return N1.complement();
|
|
if (N1.is_space()) return Nef_polyhedron_3(EMPTY);
|
|
DIFF _diff;
|
|
//CGAL::binop_intersection_tests_allpairs<SNC_decorator, DIFF> tests_impl;
|
|
SNC_structure rsnc;
|
|
Nef_polyhedron_3<Kernel,Items, Mark> res(rsnc, new SNC_point_locator_default, false);
|
|
Binary_operation bo(res.snc());
|
|
bo(res.pl(), snc(), pl(), N1.snc(), N1.pl(), _diff);
|
|
return res;
|
|
}
|
|
|
|
Nef_polyhedron_3<Kernel,Items, Mark>
|
|
symmetric_difference(const Nef_polyhedron_3<Kernel,Items, Mark>& N1) const
|
|
/*{\Mop returns the symmectric difference |\Mvar - T| $\cup$
|
|
|T - \Mvar|. }*/ {
|
|
CGAL_NEF_TRACEN(" symmetic difference between nef3 "<<&*this<<" and "<<&N1);
|
|
if (is_empty()) return N1;
|
|
if (N1.is_empty()) return *this;
|
|
if (is_space()) return Nef_polyhedron_3(EMPTY);
|
|
if (N1.is_space()) return Nef_polyhedron_3(EMPTY);
|
|
XOR _xor;
|
|
//CGAL::binop_intersection_tests_allpairs<SNC_decorator, XOR> tests_impl;
|
|
SNC_structure rsnc;
|
|
Nef_polyhedron_3<Kernel,Items, Mark> res(rsnc, new SNC_point_locator_default, false);
|
|
Binary_operation bo(res.snc());
|
|
bo(res.pl(), snc(), pl(), N1.snc(), N1.pl(), _xor);
|
|
return res;
|
|
}
|
|
|
|
|
|
/*{\Mtext Additionally there are operators |*,+,-,^,!| which
|
|
implement the binary operations \emph{intersection}, \emph{union},
|
|
\emph{difference}, \emph{symmetric difference}, and the unary
|
|
operation \emph{complement}. There are also the corresponding
|
|
modification operations |*=,+=,-=,^=|.}*/
|
|
|
|
Nef_polyhedron_3<Kernel,Items, Mark> operator*(const Nef_polyhedron_3<Kernel,Items, Mark>& N1) const
|
|
{ return intersection(N1); }
|
|
|
|
Nef_polyhedron_3<Kernel,Items, Mark> operator+(const Nef_polyhedron_3<Kernel,Items, Mark>& N1) const
|
|
{ return join(N1); }
|
|
|
|
Nef_polyhedron_3<Kernel,Items, Mark> operator-(const Nef_polyhedron_3<Kernel,Items, Mark>& N1) const
|
|
{ return difference(N1); }
|
|
|
|
Nef_polyhedron_3<Kernel,Items, Mark> operator^(const Nef_polyhedron_3<Kernel,Items, Mark>& N1) const
|
|
{ return symmetric_difference(N1); }
|
|
|
|
Nef_polyhedron_3<Kernel,Items, Mark> operator!() const
|
|
{ return complement(); }
|
|
|
|
Nef_polyhedron_3<Kernel,Items, Mark>& operator*=(const Nef_polyhedron_3<Kernel,Items, Mark>& N1)
|
|
{
|
|
#ifdef CGAL_NEF_VISUAL_HULL
|
|
CGAL_NEF_SETDTHREAD(19*43*71);
|
|
std::cerr << "visual hull code " << std::endl;
|
|
std::cerr << *this << std::endl;
|
|
std::cerr << const_cast<Nef_polyhedron&>(N1) << std::endl;
|
|
AND _and;
|
|
typename CGAL::Modifying_binary_operation<SNC_structure>
|
|
mbo(this->snc());
|
|
mbo(const_cast<SNC_structure&>(N1.snc()), N1.pl(), pl(), _and);
|
|
return *this;
|
|
#else
|
|
*this = intersection(N1); return *this;
|
|
#endif
|
|
}
|
|
|
|
Nef_polyhedron_3<Kernel,Items, Mark>& operator+=(const Nef_polyhedron_3<Kernel,Items, Mark>& N1)
|
|
{ *this = join(N1); return *this; }
|
|
|
|
Nef_polyhedron_3<Kernel,Items, Mark>& operator-=(const Nef_polyhedron_3<Kernel,Items, Mark>& N1)
|
|
{ *this = difference(N1); return *this; }
|
|
|
|
Nef_polyhedron_3<Kernel,Items, Mark>& operator^=(const Nef_polyhedron_3<Kernel,Items, Mark>& N1)
|
|
{ *this = symmetric_difference(N1); return *this; }
|
|
|
|
/*{\Mtext There are also comparison operations like |<,<=,>,>=,==,!=|
|
|
which implement the relations subset, subset or equal, superset, superset
|
|
or equal, equality, inequality.}*/
|
|
|
|
bool operator==(const Nef_polyhedron_3<Kernel,Items, Mark>& N1) const
|
|
{ CGAL_NEF_TRACEN(" equality comparision between nef3 "<<&*this<<" and "<<&N1);
|
|
return symmetric_difference(N1).is_empty(); }
|
|
|
|
bool operator!=(const Nef_polyhedron_3<Kernel,Items, Mark>& N1) const
|
|
{ CGAL_NEF_TRACEN(" inequality comparision between nef3 "<<&*this<<" and "<<&N1);
|
|
return !operator==(N1); }
|
|
|
|
bool operator<(const Nef_polyhedron_3<Kernel,Items, Mark>& N1) const
|
|
{ return !N1.difference(*this).is_empty() && difference(N1).is_empty(); }
|
|
|
|
bool operator>(const Nef_polyhedron_3<Kernel,Items, Mark>& N1) const
|
|
{ return difference(*this).is_empty() && !difference(N1).is_empty(); }
|
|
|
|
bool operator<=(const Nef_polyhedron_3<Kernel,Items, Mark>& N1) const
|
|
{ return difference(N1).is_empty(); }
|
|
|
|
bool operator>=(const Nef_polyhedron_3<Kernel,Items, Mark>& N1) const
|
|
{ return N1.difference(*this).is_empty(); }
|
|
|
|
|
|
bool is_90degree_rotation(const Aff_transformation_3& aff) const {
|
|
if(aff.hm(0,3) != 0) return false;
|
|
if(aff.hm(1,3) != 0) return false;
|
|
if(aff.hm(2,3) != 0) return false;
|
|
if(CGAL_NTS abs(aff.hm(0,0)) +
|
|
CGAL_NTS abs(aff.hm(0,1)) +
|
|
CGAL_NTS abs(aff.hm(0,2)) != aff.hm(3,3)) return false;
|
|
if(CGAL_NTS abs(aff.hm(1,0)) +
|
|
CGAL_NTS abs(aff.hm(1,1)) +
|
|
CGAL_NTS abs(aff.hm(1,2)) != aff.hm(3,3)) return false;
|
|
if(CGAL_NTS abs(aff.hm(2,0)) +
|
|
CGAL_NTS abs(aff.hm(2,1)) +
|
|
CGAL_NTS abs(aff.hm(2,2)) != aff.hm(3,3)) return false;
|
|
if(CGAL_NTS abs(aff.hm(0,0)) +
|
|
CGAL_NTS abs(aff.hm(1,0)) +
|
|
CGAL_NTS abs(aff.hm(2,0)) != aff.hm(3,3)) return false;
|
|
if(CGAL_NTS abs(aff.hm(0,1)) +
|
|
CGAL_NTS abs(aff.hm(1,1)) +
|
|
CGAL_NTS abs(aff.hm(2,1)) != aff.hm(3,3)) return false;
|
|
if(CGAL_NTS abs(aff.hm(0,2)) +
|
|
CGAL_NTS abs(aff.hm(1,2)) +
|
|
CGAL_NTS abs(aff.hm(2,2)) != aff.hm(3,3)) return false;
|
|
return true;
|
|
}
|
|
|
|
bool is_scaling(const Aff_transformation_3& aff) const {
|
|
if(aff.hm(0,3) != 0) return false;
|
|
if(aff.hm(1,3) != 0) return false;
|
|
if(aff.hm(2,3) != 0) return false;
|
|
if(aff.hm(0,1) != 0) return false;
|
|
if(aff.hm(0,2) != 0) return false;
|
|
if(aff.hm(1,0) != 0) return false;
|
|
if(aff.hm(1,2) != 0) return false;
|
|
if(aff.hm(2,0) != 0) return false;
|
|
if(aff.hm(2,1) != 0) return false;
|
|
if(aff.hm(0,0) != aff.hm(1,1)) return false;
|
|
if(aff.hm(0,0) != aff.hm(2,2)) return false;
|
|
return true;
|
|
}
|
|
|
|
void change_orientation(bool full = false) {
|
|
|
|
Halffacet_handle ftemp;
|
|
Volume_handle vtemp;
|
|
SVertex_handle svtemp;
|
|
SHalfedge_handle setemp;
|
|
SFace_handle sftemp;
|
|
|
|
SVertex_iterator sv;
|
|
CGAL_forall_svertices(sv, snc()) {
|
|
if (!sv->is_isolated())
|
|
sv->out_sedge() = sv->out_sedge()->twin();
|
|
}
|
|
|
|
SHalfedge_iterator se;
|
|
CGAL_forall_shalfedges(se, snc()) {
|
|
if(se->is_twin()) {
|
|
svtemp = se->source();
|
|
se->source() = se->twin()->source();
|
|
se->twin()->source() = svtemp;
|
|
|
|
if(full) {
|
|
ftemp = se->facet();
|
|
se->facet() = se->twin()->facet();
|
|
se->twin()->facet() = ftemp;
|
|
}
|
|
// sftemp = se->incident_sface();
|
|
// se->incident_sface() = se->twin()->incident_sface();
|
|
// se->twin()->incident_sface() = sftemp;
|
|
}
|
|
|
|
setemp = se->sprev();
|
|
se->sprev() = se->snext();
|
|
se->snext() = setemp;
|
|
|
|
se->circle() = se->circle().opposite();
|
|
|
|
if(full) {
|
|
setemp = se->prev();
|
|
se->prev() = se->next();
|
|
se->next() = setemp;
|
|
}
|
|
}
|
|
|
|
if(full) {
|
|
Halffacet_iterator f;
|
|
CGAL_forall_facets(f, snc()) {
|
|
vtemp = f->incident_volume();
|
|
f->incident_volume() = f->twin()->incident_volume();
|
|
f->twin()->incident_volume() = vtemp;
|
|
Halffacet_cycle_iterator fc(f->facet_cycles_begin()),
|
|
fct(f->twin()->facet_cycles_begin());
|
|
while(fc!=f->facet_cycles_end()) {
|
|
CGAL_assertion(fct!=f->twin()->facet_cycles_end());
|
|
if(fc.is_shalfedge()) {
|
|
CGAL_assertion(fct.is_shalfedge());
|
|
setemp = fc;
|
|
*fc = *fct;
|
|
*fct = make_object(setemp);
|
|
}
|
|
++fc;
|
|
++fct;
|
|
}
|
|
}
|
|
|
|
CGAL_forall_halffacets(f, snc()) {
|
|
Halffacet_cycle_iterator fc(f->facet_cycles_begin());
|
|
for(;fc!=f->facet_cycles_end();++fc) {
|
|
if(fc.is_shalfedge()) {
|
|
setemp = fc;
|
|
SHalfedge_around_facet_circulator hfc(setemp),hend(hfc);
|
|
++hfc;
|
|
CGAL_For_all(hfc,hend) {
|
|
if ( CGAL::lexicographically_xyz_smaller(hfc->source()->source()->point(),
|
|
setemp->source()->source()->point()))
|
|
setemp = hfc;
|
|
}
|
|
*fc = make_object(setemp);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
void transform( const Aff_transformation_3& aff) {
|
|
|
|
if( this->is_shared())
|
|
clone_rep();
|
|
// only linear transform for the origin-centered sphere maps
|
|
Aff_transformation_3 linear( aff.hm(0,0), aff.hm(0,1), aff.hm(0,2),
|
|
aff.hm(1,0), aff.hm(1,1), aff.hm(1,2),
|
|
aff.hm(2,0), aff.hm(2,1), aff.hm(2,2),
|
|
aff.hm(3,3));
|
|
|
|
SNC_constructor cstr(snc());
|
|
|
|
std::list<Vertex_handle> vertex_list;
|
|
std::list<Vertex_handle> corner_list;
|
|
std::list<Vertex_handle> delete_list;
|
|
typename std::list<Vertex_handle>::iterator li;
|
|
typename std::list<Vertex_handle>::iterator li2;
|
|
|
|
bool ninety = is_90degree_rotation(aff);
|
|
bool scale = is_scaling(aff);
|
|
|
|
Vertex_iterator vi;
|
|
CGAL_forall_vertices( vi, snc()) {
|
|
|
|
CGAL_NEF_TRACEN("transform vertex ");
|
|
if(scale) {
|
|
if(is_standard(vi))
|
|
vi->point() = vi->point().transform( aff);
|
|
else if(!Infi_box::is_infibox_corner(vi->point())) {
|
|
vi->point() = normalized(Infi_box::normalize_transformed_vertex(vi->point().transform(aff)));
|
|
}
|
|
} else if (!is_standard(vi) && !ninety) {
|
|
if(Infi_box::is_infibox_corner(vi->point()))
|
|
corner_list.push_back(vi);
|
|
vertex_list.push_back(vi);
|
|
} else {
|
|
vi->point() = vi->point().transform( aff);
|
|
SM_decorator sdeco(&*vi);
|
|
sdeco.transform( linear);
|
|
}
|
|
}
|
|
|
|
if(!this->is_bounded() && !ninety && !scale) {
|
|
Halffacet_iterator fi;
|
|
CGAL_forall_facets(fi, snc()) {
|
|
if(!is_standard(fi) || is_bounded(fi)) continue;
|
|
Plane_3 pt = fi->plane();
|
|
pt = pt.transform(aff);
|
|
std::list<Point_3> points(Infi_box::find_points_of_box_with_plane(cstr,pt));
|
|
std::list<Vertex_handle> newVertices;
|
|
newVertices = Infi_box::create_vertices_on_infibox(cstr,
|
|
pt, points, fi->mark(),
|
|
fi->twin()->incident_volume()->mark(),
|
|
fi->incident_volume()->mark());
|
|
|
|
for(li = newVertices.begin(); li != newVertices.end(); ++li) {
|
|
if(Infi_box::is_infibox_corner((*li)->point())) {
|
|
li2 = corner_list.begin();
|
|
while(li2 != corner_list.end() && (*li2)->point() != (*li)->point()) ++li2;
|
|
CGAL_assertion(li2 != corner_list.end());
|
|
delete_list.push_back(*li2);
|
|
*li2 = *li;
|
|
}
|
|
}
|
|
}
|
|
|
|
for(li = vertex_list.begin(); li != vertex_list.end();++li) {
|
|
SM_decorator SD(&**li);
|
|
if(Infi_box::is_complex_facet_infibox_intersection(**li)) {
|
|
Halffacet_handle hf[2];
|
|
int i=0;
|
|
SHalfedge_iterator sei;
|
|
CGAL_forall_sedges(sei,SD) {
|
|
if(!Infi_box::is_sedge_on_infibox(sei)) {
|
|
hf[i] = sei->facet();
|
|
if(hf[i]->is_twin()) hf[i] = hf[i]->twin();
|
|
++i;
|
|
}
|
|
if(i>1)
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
|
|
Association A;
|
|
SNC_external_structure es(snc());
|
|
es.clear_external_structure();
|
|
for(li = vertex_list.begin(); li != vertex_list.end();++li){
|
|
if(Infi_box::is_complex_facet_infibox_intersection(**li)) {
|
|
Vertex_handle v2;
|
|
Vertex_handle v1 = cstr.create_for_infibox_overlay(*li);
|
|
v1->point() = normalized(Infi_box::normalize_transformed_vertex((*li)->point().transform(aff)));
|
|
SM_decorator sdeco(&*v1);
|
|
sdeco.transform(linear);
|
|
switch(Infi_box::type_of_infibox_point(v1->point())) {
|
|
case 1:
|
|
v2 = cstr.create_from_point_on_infibox_facet(v1->point());
|
|
break;
|
|
case 2:
|
|
v2 = cstr.create_from_point_on_infibox_edge(v1->point());
|
|
break;
|
|
case 3:
|
|
v2 = cstr.create_from_point_on_infibox_vertex(v1->point());
|
|
li2 = corner_list.begin();
|
|
while(li2 != corner_list.end() && (*li2)->point() != v2->point()) ++li2;
|
|
if(li2 != corner_list.end())
|
|
delete_list.push_back(*li2);
|
|
break;
|
|
default: CGAL_error_msg( "wrong value");
|
|
}
|
|
Vertex_handle v = snc().new_vertex(v1->point(), (*li)->mark());
|
|
SM_overlayer O(&*v);
|
|
O.subdivide(&*v1, &*v2, A);
|
|
AND _and;
|
|
O.select(_and);
|
|
O.simplify(A);
|
|
snc().delete_vertex(v1);
|
|
snc().delete_vertex(v2);
|
|
}
|
|
|
|
if(Infi_box::is_infibox_corner((*li)->point())) {
|
|
SM_decorator SD(&**li);
|
|
if(SD.number_of_svertices() < 4)
|
|
continue;
|
|
li2 = corner_list.begin();
|
|
while(li2 != corner_list.end() && (*li2)->point() != (*li)->point()) ++li2;
|
|
CGAL_assertion(li2 != corner_list.end());
|
|
if(*li == *li2) {
|
|
delete_list.push_back(*li2);
|
|
*li2 = cstr.create_from_point_on_infibox_vertex((*li)->point());
|
|
}
|
|
} else
|
|
snc().delete_vertex(*li);
|
|
}
|
|
|
|
for(li = delete_list.begin(); li != delete_list.end(); ++li)
|
|
snc().delete_vertex(*li);
|
|
|
|
if(!aff.is_even())
|
|
change_orientation();
|
|
|
|
while(cstr.erase_redundant_vertices()) ;
|
|
cstr.correct_infibox_sedge_marks();
|
|
|
|
build_external_structure();
|
|
cstr.correct_infibox_sface_marks();
|
|
|
|
// are the upcoming lines necessary?
|
|
SNC_point_locator* old_pl = pl();
|
|
pl() = pl()->clone();
|
|
pl()->initialize(&snc());
|
|
delete old_pl;
|
|
|
|
} else {
|
|
Halffacet_iterator fi;
|
|
CGAL_forall_halffacets(fi,snc()) {
|
|
if(is_standard(fi) || ninety) {
|
|
fi->plane() = fi->plane().transform( aff);
|
|
#ifdef CGAL_NEF3_FACET_WITH_BOX
|
|
typedef typename Halffacet::Box Box;
|
|
bool first = true;
|
|
Halffacet_cycle_iterator cycle_it = fi->facet_cycles_begin();
|
|
if( cycle_it.is_shalfedge() ) {
|
|
SHalfedge_iterator edge_it(cycle_it);
|
|
SHalfedge_around_facet_circulator
|
|
start( edge_it ), end( edge_it );
|
|
CGAL_For_all( start, end ) {
|
|
const Point_3& p = start->source()->source()->point();
|
|
typename Kernel::FT q[3];
|
|
q[0] = p.x();
|
|
q[1] = p.y();
|
|
q[2] = p.z();
|
|
if(first) {
|
|
fi->b = Box(q,q);
|
|
first = false;
|
|
} else
|
|
fi->b.extend(q);
|
|
}
|
|
} else
|
|
CGAL_error_msg( "is facet first cycle a SHalfloop?");
|
|
#endif
|
|
}
|
|
}
|
|
|
|
if(!aff.is_even())
|
|
change_orientation(true);
|
|
|
|
if(aff.homogeneous(0,1) != 0 ||
|
|
aff.homogeneous(0,2) != 0 ||
|
|
aff.homogeneous(1,0) != 0 ||
|
|
aff.homogeneous(1,2) != 0 ||
|
|
aff.homogeneous(2,0) != 0 ||
|
|
aff.homogeneous(2,1) != 0 ||
|
|
aff.homogeneous(0,0) != aff.homogeneous(1,1) ||
|
|
aff.homogeneous(0,0) != aff.homogeneous(2,2) ||
|
|
!this->is_bounded()) {
|
|
SNC_point_locator* old_pl = pl();
|
|
pl() = pl()->clone();
|
|
pl()->initialize(&snc());
|
|
delete old_pl;
|
|
}
|
|
else pl()->transform(aff);
|
|
}
|
|
|
|
SNC_constructor C(snc());
|
|
C.assign_indices();
|
|
}
|
|
|
|
/*{\Mtext \headerline{Exploration}
|
|
As Nef polyhedra are the result of forming complements
|
|
and intersections starting from a set |H| of halfspaces which are
|
|
defined by oriented planes in three space. The corresponding
|
|
structure is represented by an extended wuerzburg structure
|
|
$W = (V,E,F,C)$. For topological queries within |W| the following
|
|
types and operations allow exploration access to this structure.}*/
|
|
|
|
/*{\Mtypes 3}*/
|
|
|
|
typedef CGAL::SNC_SM_explorer<SM_const_decorator> SM_explorer;
|
|
|
|
SM_explorer SMexplorer(Vertex_const_handle v) const {
|
|
SM_const_decorator SMCD(&*v);
|
|
return SM_explorer(SMCD);
|
|
}
|
|
|
|
typedef typename SNC_structure::Object_list Object_list;
|
|
typedef typename SNC_structure::Object_handle Object_handle;
|
|
/*{\Mtypemember a generic handle to an object of the underlying
|
|
plane map. The kind of object |(vertex, halfedge, face)| can
|
|
be determined and the object can be assigned to a corresponding
|
|
handle by the three functions:\\
|
|
|bool assign(Vertex_const_handle& h, Object_handle)|\\
|
|
|bool assign(Edge_const_handle& h, Object_handle)|\\
|
|
|bool assign(Facet_const_handle& h, Object_handle)|\\
|
|
|bool assign(Volume_const_handle& h, Object_handle)|\\
|
|
where each function returns |true| iff the assignment to
|
|
|h| was done.}*/
|
|
|
|
/*{\Moperations 3 1 }*/
|
|
|
|
bool contains(Object_handle /*h*/) const
|
|
/*{\Mop returns true iff the object |h| is contained in the set
|
|
represented by |\Mvar|.}*/
|
|
// { SNC_point_locator PL(snc()); return PL.mark(h);}
|
|
{ CGAL_error_msg( "not implemented."); return false;}
|
|
|
|
bool contained_in_boundary(Object_handle h) const
|
|
/*{\Mop returns true iff the object |h| is contained in the $2$-skeleton
|
|
of |\Mvar|.}*/
|
|
{ Vertex_const_handle v;
|
|
Halfedge_const_handle e;
|
|
Halffacet_const_handle f;
|
|
return ( assign(v,h) || assign(e,h) || assign(f,h) );
|
|
}
|
|
|
|
Object_handle locate(const Point_3& p) const
|
|
/*{\Mop returns a generic handle |h| to an object (vertex, edge, facet,
|
|
volume) of the underlying SNC which contains the point |p| in its relative
|
|
interior. The point |p| is contained in the set represented by |\Mvar| if
|
|
|\Mvar.contains(h)| is true.}*/ {
|
|
CGAL_NEF_TRACEN( "locating point...");
|
|
CGAL_assertion( pl() != nullptr);
|
|
|
|
Object_handle o = pl()->locate(p);
|
|
|
|
Vertex_handle v;
|
|
Halfedge_handle e;
|
|
Halffacet_handle f;
|
|
Volume_handle c;
|
|
if(assign(v,o)) return make_object(Vertex_const_handle(v));
|
|
if(assign(e,o)) return make_object(Halfedge_const_handle(e));
|
|
if(assign(f,o)) return make_object(Halffacet_const_handle(f));
|
|
if(assign(c,o)) return make_object(Volume_const_handle(c));
|
|
|
|
return Object_handle();
|
|
}
|
|
|
|
/*{\Mimplementation Nef polyhedra are implemented on top of an
|
|
extended Wuerzburg structure data structure (EWS) and use linear
|
|
space in the number of vertices, edges and facets. Operations like
|
|
empty take constant time. The operations clear, complement, interior,
|
|
closure, boundary, regularization, input and output take linear
|
|
time. All binary set operations and comparison operations take time
|
|
$O(N^2)$ where $N$ is the size of the output plus the size of the
|
|
input.
|
|
|
|
The point location operations run in linear query time without any
|
|
preprocessing.}*/
|
|
|
|
/*{\Mexample Nef polyhedra are parameterized by a so called extended
|
|
geometric kernel. There's currently only one such kernel based on a
|
|
homogeneous representation of extended points called
|
|
|Extended_homogeneous<NT>|. The kernel is parameterized by a
|
|
multiprecision integer type. The member types of |Nef_polyhedron_3<
|
|
Extended_homogeneous_3<NT> >| map to corresponding types of the CGAL
|
|
geometry kernel (e.g. |Nef_polyhedron::Plane_3| equals
|
|
|CGAL::Homogeneous<leda_integer>::Plane_3| in the example below).
|
|
\begin{Mverb}
|
|
#include <CGAL/basic.h>
|
|
#include <CGAL/leda_integer.h>
|
|
#include <CGAL/Extended_homogeneous.h>
|
|
#include <CGAL/Nef_polyhedron_3.h>
|
|
|
|
using namespace CGAL;
|
|
typedef Extended_homogeneous<leda_integer> Extended_kernel;
|
|
typedef Nef_polyhedron_3<Extended_kernel> Nef_polyhedron;
|
|
typedef Nef_polyhedron::Plane_3 Plane_3;
|
|
|
|
int main()
|
|
{
|
|
Nef_polyhedron N1(Plane_3(1,0,0,0));
|
|
Nef_polyhedron N2(Plane_3(0,1,0,0), Nef_polyhedron::EXCLUDED);
|
|
Nef_polyhedron N3 = N1 * N2; // line (*)
|
|
return 0;
|
|
}
|
|
\end{Mverb}
|
|
After line (*) |N3| is the intersection of |N1| and |N2|.}*/
|
|
|
|
std::size_t bytes() {
|
|
// bytes used for the Nef_polyhedron_3.
|
|
return sizeof(Self) + (snc().bytes() - sizeof(SNC_structure));
|
|
}
|
|
|
|
std::size_t bytes_reduced() {
|
|
// bytes used for the Nef_polyhedron_3.
|
|
std::cout << sizeof(Self) + (snc().bytes_reduced2() - sizeof(SNC_structure)) << std::endl;
|
|
return sizeof(Self) + (snc().bytes_reduced() - sizeof(SNC_structure));
|
|
}
|
|
|
|
}; // end of Nef_polyhedron_3
|
|
|
|
template <typename Kernel, typename Items, typename Mark>
|
|
Nef_polyhedron_3<Kernel,Items, Mark>::
|
|
Nef_polyhedron_3( Content space) {
|
|
CGAL_NEF_TRACEN("construction from empty or space.");
|
|
empty_rep();
|
|
set_snc(snc());
|
|
if(Infi_box::extended_kernel()) {
|
|
initialize_infibox_vertices(space);
|
|
build_external_structure();
|
|
} else {
|
|
build_external_structure();
|
|
snc().volumes_begin()->mark() = (space == COMPLETE) ? 1 : 0;
|
|
}
|
|
}
|
|
|
|
template <typename Kernel, typename Items, typename Mark>
|
|
Nef_polyhedron_3<Kernel,Items, Mark>::
|
|
Nef_polyhedron_3(const Plane_3& h, Boundary b) {
|
|
CGAL_NEF_TRACEN("construction from plane "<<h);
|
|
empty_rep();
|
|
set_snc(snc());
|
|
SNC_constructor C(snc());
|
|
Infi_box::create_vertices_of_box_with_plane(C,h,(b==INCLUDED));
|
|
build_external_structure();
|
|
/*
|
|
if(Infi_box::extended_kernel()) {
|
|
SNC_structure snc1, snc2;
|
|
SNC_point_locator* pl1 = new SNC_point_locator_default;
|
|
SNC_point_locator* pl2 = new SNC_point_locator_default;
|
|
|
|
SNC_constructor c1(snc1);
|
|
Infi_box::initialize_infibox_vertices(c1, true);
|
|
SNC_external_structure es1(snc1, pl1);
|
|
es1.build_external_structure();
|
|
|
|
SNC_constructor c2(snc2);
|
|
c2.create_vertices_for_halfspace(h, b);
|
|
SNC_external_structure es2(snc2, pl2);
|
|
es2.pair_up_halfedges();
|
|
es2.link_shalfedges_to_facet_cycles();
|
|
c2.create_facets_and_volumes_of_halfspace(h);
|
|
pl2->initialize(&snc2);
|
|
|
|
AND _and;
|
|
Binary_operation bo(snc());
|
|
bo(pl(), snc1, pl1, snc2, pl2, _and);
|
|
|
|
delete pl1;
|
|
delete pl2;
|
|
} else
|
|
CGAL_error_msg
|
|
("Constructor is only available with extended kernels");
|
|
*/
|
|
}
|
|
|
|
template <typename Kernel, typename Items, typename Mark>
|
|
Nef_polyhedron_3<Kernel,Items, Mark>::
|
|
Nef_polyhedron_3( const SNC_structure& W, SNC_point_locator* _pl,
|
|
bool clone_pl,
|
|
bool clone_snc) {
|
|
CGAL_assertion( clone_snc == true || clone_pl == false);
|
|
// TODO: granados: define behavior when clone=false
|
|
// CGAL_NEF_TRACEN("construction from an existing SNC structure (clone="<<clone<<")");
|
|
|
|
this->copy_on_write();
|
|
if(clone_snc) {
|
|
snc() = W;
|
|
set_snc(snc());
|
|
}
|
|
if(clone_pl) {
|
|
pl() = _pl->clone();
|
|
pl()->initialize(&snc());
|
|
}
|
|
else
|
|
pl() = _pl;
|
|
}
|
|
|
|
template <typename Kernel, typename Items, typename Mark>
|
|
void
|
|
Nef_polyhedron_3<Kernel,Items, Mark>::
|
|
extract_complement() {
|
|
CGAL_NEF_TRACEN("extract complement");
|
|
if( this->is_shared()) clone_rep();
|
|
SNC_decorator D(snc());
|
|
Vertex_iterator v;
|
|
CGAL_forall_vertices(v,D){
|
|
v->mark() = !v->mark();
|
|
SM_decorator SM(&*v);
|
|
SM.extract_complement();
|
|
}
|
|
|
|
Halffacet_iterator f;
|
|
CGAL_forall_halffacets(f,D) f->mark() = !f->mark();
|
|
|
|
Volume_iterator c;
|
|
CGAL_forall_volumes(c,D)
|
|
// if(!(Infi_box::extended_kernel && c==D.volumes_begin()))
|
|
c->mark() = !c->mark();
|
|
}
|
|
|
|
template <typename Kernel, typename Items, typename Mark>
|
|
void
|
|
Nef_polyhedron_3<Kernel,Items, Mark>::
|
|
extract_interior() {
|
|
CGAL_NEF_TRACEN("extract interior");
|
|
if (this->is_shared()) clone_rep();
|
|
SNC_decorator D(snc());
|
|
Vertex_iterator v;
|
|
CGAL_forall_vertices(v,D){
|
|
v->mark() = false;
|
|
SM_decorator SM(&*v);
|
|
SM.extract_interior();
|
|
}
|
|
Halffacet_iterator f;
|
|
CGAL_forall_halffacets(f,D) f->mark() = false;
|
|
|
|
simplify();
|
|
}
|
|
|
|
template <typename Kernel, typename Items, typename Mark>
|
|
void
|
|
Nef_polyhedron_3<Kernel,Items, Mark>::
|
|
extract_boundary() {
|
|
CGAL_NEF_TRACEN("extract boundary");
|
|
if (this->is_shared()) clone_rep();
|
|
SNC_decorator D(snc());
|
|
Vertex_iterator v;
|
|
CGAL_forall_vertices(v,D) {
|
|
v->mark() = true;
|
|
SM_decorator SM(&*v);
|
|
SM.extract_boundary();
|
|
}
|
|
Halffacet_iterator f;
|
|
CGAL_forall_halffacets(f,D) f->mark() = true;
|
|
Volume_iterator c;
|
|
CGAL_forall_volumes(c,D) c->mark() = false;
|
|
simplify();
|
|
}
|
|
|
|
} //namespace CGAL
|
|
|
|
#include <CGAL/enable_warnings.h>
|
|
|
|
#endif //CGAL_NEF_POLYHEDRON_3_H
|