196 lines
7.0 KiB
C++
Executable File
196 lines
7.0 KiB
C++
Executable File
// Copyright (c) 2005-2008 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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// You can redistribute it and/or modify it under the terms of the GNU
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// General Public License as published by the Free Software Foundation,
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// either version 3 of the License, 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: GPL-3.0+
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//
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//
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// Author(s) : Peter Hachenberger <hachenberger@mpi-sb.mpg.de>
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#ifndef CGAL_CONVEX_DECOMPOSITION_3_H
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#define CGAL_CONVEX_DECOMPOSITION_3_H
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#include <CGAL/license/Convex_decomposition_3.h>
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#include <CGAL/Convex_decomposition_3/Single_wall_creator.h>
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#include <CGAL/Convex_decomposition_3/Single_wall_creator2.h>
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#include <CGAL/Convex_decomposition_3/Reflex_edge_searcher.h>
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#include <CGAL/Convex_decomposition_3/Reflex_vertex_searcher.h>
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#include <CGAL/Convex_decomposition_3/YVertical_wall_builder.h>
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#include <CGAL/Convex_decomposition_3/Ray_hit_generator2.h>
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#include <CGAL/Convex_decomposition_3/External_structure_builder.h>
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#include <CGAL/Convex_decomposition_3/SFace_separator.h>
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#include <CGAL/Convex_decomposition_3/Edge_sorter.h>
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#include <CGAL/Convex_decomposition_3/is_reflex_sedge.h>
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/*!
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\file convex_decomposition_3.h
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*/
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/// The CGAL namespace.
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namespace CGAL {
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/*!
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\ingroup PkgConvexDecomposition3
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The function `convex_decomposition_3()` inserts additional facets
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into the given `Nef_polyhedron_3` `N`, such that each bounded
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marked volume (the outer volume is unbounded) is subdivided into convex
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pieces. The modified polyhedron represents a decomposition into
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\f$ O(r^2)\f$ convex pieces, where \f$ r\f$ is the number of edges that have two
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adjacent facets that span an angle of more than 180 degrees with
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respect to the interior of the polyhedron.
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The worst-case running time of our implementation is
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\f$ O(n^2r^4\sqrt[3]{nr^2}\log{(nr)})\f$, where \f$ n\f$ is the complexity of
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the polyhedron (the complexity of a `Nef_polyhedron_3` is the sum
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of its `Vertices`, `Halfedges` and `SHalfedges`) and \f$ r\f$
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is the number of reflex edges.
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\pre The polyhedron `N` is bounded. Otherwise, the outer volume is ignored.
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\post If the polyhedron `N` is non-convex, it is modified to represent the
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convex decomposition. If `N` is convex, it is not modified.
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\sa `CGAL::Nef_polyhedron_3<Traits>`
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*/
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template<typename Nef_polyhedron>
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void convex_decomposition_3(Nef_polyhedron& N)
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{
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typedef typename Nef_polyhedron::SNC_structure SNC_structure;
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typedef typename SNC_structure::Halfedge_handle Halfedge_handle;
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typedef typename Nef_polyhedron::Point_3 Point_3;
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typedef typename Nef_polyhedron::Vector_3 Vector_3;
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typedef typename Nef_polyhedron::Sphere_point Sphere_point;
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typedef typename Nef_polyhedron::FT FT;
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typedef typename CGAL::Single_wall_creator<Nef_polyhedron> Single_wall;
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typedef typename CGAL::YVertical_wall_builder<Nef_polyhedron> YVertical_wall_builder;
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typedef typename CGAL::Reflex_vertex_searcher<Nef_polyhedron> Reflex_vertex_searcher;
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typedef typename CGAL::Ray_hit_generator2<Nef_polyhedron> Ray_hit2;
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typedef typename CGAL::External_structure_builder<Nef_polyhedron> External_structure_builder;
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typedef typename CGAL::SFace_separator<Nef_polyhedron> SFace_separator;
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typedef Compare_halfedges_in_reflex_edge_sorter<Halfedge_handle, std::less<Point_3> >
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Less_edges;
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typedef Compare_halfedges_in_reflex_edge_sorter<Halfedge_handle, std::greater<Point_3> >
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Greater_edges;
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typedef typename std::multiset<Halfedge_handle, Less_edges> Negatively_sorted_set;
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typedef typename std::multiset<Halfedge_handle, Greater_edges> Positively_sorted_set;
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typedef typename Positively_sorted_set::const_iterator Positive_reflex_edge_iterator;
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typedef typename Negatively_sorted_set::const_iterator Negative_reflex_edge_iterator;
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typedef typename CGAL::Reflex_edge_searcher<Nef_polyhedron, Positively_sorted_set, Negatively_sorted_set>
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Reflex_edge_searcher;
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typedef typename CGAL::Edge_sorter<Nef_polyhedron, std::less<FT>, Negatively_sorted_set> Edge_sorter;
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typedef typename CGAL::Edge_sorter<Nef_polyhedron, std::greater<FT>, Positively_sorted_set> Edge_sorter2;
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External_structure_builder esb;
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SFace_separator sf_sep;
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N.delegate(sf_sep,false, false);
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Reflex_edge_searcher res(Sphere_point(1,0,0));
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N.delegate(res,false,false);
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Edge_sorter es(res.get_negative_redges());
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N.delegate(es);
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Negative_reflex_edge_iterator nrei;
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for(nrei=res.negative_redges_begin(); nrei!=res.negative_redges_end(); ++nrei) {
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Halfedge_handle e = (*nrei);
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Single_wall W(e,Vector_3(-1,0,0));
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if(!W.need_to_create_wall()) continue;
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Reflex_vertex_searcher rvs(Sphere_point(1,0,0));
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if(rvs.need_to_shoot(e, true)) {
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Ray_hit2 rh2a(Vector_3(-1,0,0), e->source());
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N.delegate(rh2a);
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}
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if(rvs.need_to_shoot(e->twin(), true)) {
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Ray_hit2 rh2a(Vector_3(-1,0,0), e->twin()->source());
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N.delegate(rh2a);
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}
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}
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// int i=0;
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for(nrei=res.negative_redges_begin(); nrei!=res.negative_redges_end(); ++nrei) {
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Halfedge_handle e = (*nrei);
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if(e->point().hx() > 0)
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e = e->twin();
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Single_wall W(e,Vector_3(-1,0,0));
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if(!W.need_to_create_wall()) continue;
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N.delegate(W);
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}
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N.delegate(esb);
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N.delegate(res, false, false);
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CGAL_assertion(N.is_valid(0,0));
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Reflex_edge_searcher& res2 = res;
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Edge_sorter2 es2(res2.get_positive_redges());
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N.delegate(es2);
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Positive_reflex_edge_iterator prei;
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for(prei=res2.positive_redges_begin(); prei!=res2.positive_redges_end(); ++prei) {
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Halfedge_handle e = (*prei);
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CGAL_assertion(e->source()->point() >
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e->twin()->source()->point());
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Single_wall W(e,Vector_3(1,0,0));
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if(!W.need_to_create_wall()) continue;
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Reflex_vertex_searcher rvs(Sphere_point(1,0,0));
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if(rvs.need_to_shoot(e, false)) {
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Ray_hit2 rh2a(Vector_3(1,0,0), e->source());
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N.delegate(rh2a);
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}
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if(rvs.need_to_shoot(e->twin(), false)) {
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Ray_hit2 rh2a(Vector_3(1,0,0), e->twin()->source());
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N.delegate(rh2a);
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}
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}
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// i=0;
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for(prei=res2.positive_redges_begin(); prei!=res2.positive_redges_end(); ++prei) {
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Halfedge_handle e = (*prei);
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Single_wall W(e,Vector_3(1,0,0));
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if(!W.need_to_create_wall()) continue;
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N.delegate(W);
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}
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N.delegate(esb);
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CGAL_assertion(N.is_valid(0,0));
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YVertical_wall_builder Y;
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N.delegate(Y,false,false);
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N.delegate(esb);
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CGAL_assertion_code(typename Nef_polyhedron::SHalfedge_const_iterator cse);
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CGAL_assertion_code(CGAL_forall_shalfedges(cse, N)
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if(cse->incident_sface()->mark())
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CGAL_assertion(!CGAL::is_reflex_sedge_in_any_direction<Nef_polyhedron>(cse)));
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}
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} //namespace CGAL
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#endif // CGAL_CONVEX_DECOMPOSITION_3_H
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