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// Copyright (c) 2005 Rijksuniversiteit Groningen (Netherlands) // All rights reserved. // // This file is part of CGAL (www.cgal.org). // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Skin_surface_3/include/CGAL/Triangulation_incremental_builder_3.h $ // $Id: include/CGAL/Triangulation_incremental_builder_3.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Nico Kruithof #ifndef CGAL_TDS_INCREMENTAL_BUILDER_3_H #define CGAL_TDS_INCREMENTAL_BUILDER_3_H 1 #include #include #include #include #include #include #include namespace CGAL { template < class Triangulation_3 > class Triangulation_incremental_builder_3 { public: typedef Triangulation_3 T; typedef typename T::Vertex_handle Vertex_handle; typedef typename T::Cell_handle Cell_handle; typedef typename T::Facet Facet; public: Triangulation_incremental_builder_3( T &t, bool verbose = false) : t(t), m_verbose(verbose) { } ~Triangulation_incremental_builder_3() {} void begin_triangulation(int dim) { t.clear(); t.tds().delete_cell(t.infinite_vertex()->cell()); // t.infinite = add_vertex(); t.tds().set_dimension(dim); } void end_triangulation() { construct_infinite_cells(); CGAL_assertion(t.infinite_vertex()->cell() != Cell_handle()); } Vertex_handle add_vertex(); Cell_handle add_cell(Vertex_handle vh0, Vertex_handle vh1, Vertex_handle vh2, Vertex_handle vh3); private: void construct_infinite_cells(); Cell_handle add_infinite_cell(Cell_handle ch, int i); void glue_cells(Cell_handle ch0, int ind0, Cell_handle ch1, int ind1); // Interior facets of the simplical cell: typedef std::pair < Vertex_handle, Vertex_handle > Vpair; typedef std::map < Vpair, Facet > MapPair; typedef typename MapPair::iterator MapPairIt; typedef std::array < Vertex_handle, 3 > Vtriple; typedef std::map < Vtriple, Facet > MapTriple; typedef typename MapTriple::iterator MapTripleIt; Vtriple facet(Vertex_handle vh1, Vertex_handle vh2, Vertex_handle vh3) { if (vh1 < vh2) { if (vh2 < vh3) { return CGAL::make_array(vh1,vh2,vh3); } else { if (vh1 < vh3) { return CGAL::make_array(vh1,vh3,vh2); } else { return CGAL::make_array(vh3,vh1,vh2); } } } if (vh1 < vh3) { return CGAL::make_array(vh2,vh1,vh3); } else { if (vh2 < vh3) { return CGAL::make_array(vh2,vh3,vh1); } else { return CGAL::make_array(vh3,vh2,vh1); } } } MapTriple facets; T &t; bool m_verbose; }; template < class TDS_> typename Triangulation_incremental_builder_3< TDS_ >::Vertex_handle Triangulation_incremental_builder_3< TDS_ >::add_vertex() { return t.tds().create_vertex(); } template < class TDS_> typename Triangulation_incremental_builder_3< TDS_ >::Cell_handle Triangulation_incremental_builder_3< TDS_ >::add_cell( Vertex_handle vh0, Vertex_handle vh1, Vertex_handle vh2, Vertex_handle vh3) { CGAL_assertion(vh0 != nullptr); CGAL_assertion(vh1 != nullptr); CGAL_assertion(vh2 != nullptr); CGAL_assertion(vh3 != nullptr); CGAL_assertion(vh0 != vh1); CGAL_assertion(vh0 != vh2); CGAL_assertion(vh0 != vh3); CGAL_assertion(vh1 != vh2); CGAL_assertion(vh1 != vh3); CGAL_assertion(vh2 != vh3); Cell_handle ch = t.tds().create_cell(vh0, vh1, vh2, vh3); // Neighbors are by default set to nullptr vh0->set_cell(ch); vh1->set_cell(ch); vh2->set_cell(ch); vh3->set_cell(ch); for (int i=0; i<4; i++) { Vtriple vtriple=facet(ch->vertex((i+1)&3), ch->vertex((i+2)&3), ch->vertex((i+3)&3)); std::pair res = facets.insert(std::make_pair(vtriple, Facet(ch, i))); if (! res.second) { // we found an element with this key MapTripleIt neighbIt = res.first; Facet f = (*neighbIt).second; glue_cells(f.first, f.second, ch, i); facets.erase(neighbIt); CGAL_assertion(f.first->neighbor(f.second) != nullptr); CGAL_assertion(ch->neighbor(i) != nullptr); } else { CGAL_assertion(ch->neighbor(i) == nullptr); } } return ch; } template < class TDS_> typename Triangulation_incremental_builder_3< TDS_ >::Cell_handle Triangulation_incremental_builder_3< TDS_ >::add_infinite_cell( Cell_handle ch0, int i) { CGAL_assertion(ch0->neighbor(i) == nullptr); Vertex_handle vh[4]; vh[i] = t.infinite_vertex(); vh[(i+1)&3] = ch0->vertex((i+1)&3); vh[(i+2)&3] = ch0->vertex((i+3)&3); vh[(i+3)&3] = ch0->vertex((i+2)&3); Cell_handle ch1 = t.tds().create_cell(vh[0], vh[1], vh[2], vh[3]); // Neighbors are set to nullptr // Do not set points to the infinite cell. All finite vertices point to // finite cells. vh[i]->set_cell(ch1); glue_cells(ch0, i, ch1, i); return ch1; } template < class TDS_> void Triangulation_incremental_builder_3< TDS_ >::glue_cells( Cell_handle ch0, int ind0, Cell_handle ch1, int ind1) { CGAL_assertion(ch0->has_vertex(ch1->vertex((ind1+1)&3))); CGAL_assertion(ch0->has_vertex(ch1->vertex((ind1+2)&3))); CGAL_assertion(ch0->has_vertex(ch1->vertex((ind1+3)&3))); CGAL_assertion(ch1->has_vertex(ch0->vertex((ind0+1)&3))); CGAL_assertion(ch1->has_vertex(ch0->vertex((ind0+2)&3))); CGAL_assertion(ch1->has_vertex(ch0->vertex((ind0+3)&3))); CGAL_assertion(ch0->index(ch1->vertex((ind1+1)&3)) != ind0); CGAL_assertion(ch0->index(ch1->vertex((ind1+2)&3)) != ind0); CGAL_assertion(ch0->index(ch1->vertex((ind1+3)&3)) != ind0); CGAL_assertion(ch1->index(ch0->vertex((ind0+1)&3)) != ind1); CGAL_assertion(ch1->index(ch0->vertex((ind0+2)&3)) != ind1); CGAL_assertion(ch1->index(ch0->vertex((ind0+3)&3)) != ind1); ch0->set_neighbor(ind0, ch1); ch1->set_neighbor(ind1, ch0); } // Adds infinite cells to the facets on the convex hull template < class TDS_> void Triangulation_incremental_builder_3< TDS_ >::construct_infinite_cells() { MapTripleIt ch_facet_it; MapPair ch_edges; MapPairIt ch_edge_it; Vertex_handle vh1, vh2; for (ch_facet_it = facets.begin(); ch_facet_it != facets.end(); ch_facet_it ++) { Facet ch_facet = (*ch_facet_it).second; Cell_handle ch0 = ch_facet.first; int ind0 = ch_facet.second; Cell_handle ch1 = add_infinite_cell(ch0, ind0); // Index of ch1 is also ind0 CGAL_assertion(ch0->neighbor(ind0) != nullptr); CGAL_assertion(ch1->neighbor(ind0) != nullptr); for (int i=1; i<4; i++) { int i1 = (i==1?2:1); int i2 = (i==3?2:3); if (ch1->vertex((ind0+i1)&3) < ch1->vertex((ind0+i2)&3)) { vh1 = ch1->vertex((ind0+i1)&3); vh2 = ch1->vertex((ind0+i2)&3); } else { vh1 = ch1->vertex((ind0+i2)&3); vh2 = ch1->vertex((ind0+i1)&3); } ch_edge_it = ch_edges.find(Vpair(vh1,vh2)); if (ch_edge_it != ch_edges.end()) { Facet f_opp = (*ch_edge_it).second; glue_cells(f_opp.first, f_opp.second, ch1, (ind0+i)&3); ch_edges.erase(ch_edge_it); CGAL_assertion(f_opp.first->neighbor(f_opp.second) != nullptr); CGAL_assertion(ch1->neighbor((ind0+i)&3) != nullptr); } else { ch_edges[Vpair(vh1,vh2)] = Facet(ch1, (ind0+i)&3); CGAL_assertion(ch1->neighbor((ind0+i)&3) == nullptr); } } } CGAL_assertion(ch_edges.empty()); } } //namespace CGAL #endif // CGAL_TDS_INCREMENTAL_BUILDER_3_H //