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// Copyright (c) 2021 GeometryFactory // All rights reserved. // // This file is part of CGAL (www.cgal.org). // // $URL: https://github.com/CGAL/cgal/blob/v6.1/SMDS_3/include/CGAL/SMDS_3/internal/SMDS_3_helper.h $ // $Id: include/CGAL/SMDS_3/internal/SMDS_3_helper.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Jane Tournois #ifndef CGAL_INTERNAL_SMDS_3_HELPERS_H #define CGAL_INTERNAL_SMDS_3_HELPERS_H #include #include #include #include namespace CGAL { namespace SMDS_3 { namespace internal { template bool is_convex(const Triangulation& tr) { typedef typename Triangulation::Vertex_handle Vertex_handle; typedef typename Triangulation::Cell_handle Cell_handle; typedef typename Triangulation::Geom_traits::Point_3 Point_3; typename Triangulation::Geom_traits::Construct_point_3 cp = tr.geom_traits().construct_point_3_object(); typename Triangulation::Geom_traits::Orientation_3 orientation = tr.geom_traits().orientation_3_object(); std::vector infcells; tr.incident_cells(tr.infinite_vertex(), std::back_inserter(infcells)); for (Cell_handle c : infcells) { const Cell_handle neigh = c->neighbor(c->index(tr.infinite_vertex())); const int i = neigh->index(c); const std::array pfacet = { cp(neigh->vertex((i + 1) % 4)->point()), cp(neigh->vertex((i + 2) % 4)->point()), cp(neigh->vertex((i + 3) % 4)->point())}; const CGAL::Orientation o = orientation( pfacet[0], pfacet[1], pfacet[2], cp(neigh->vertex(i)->point())); for (Vertex_handle v : tr.finite_vertex_handles()) { if (c->has_vertex(v)) continue; if (o != orientation(pfacet[0], pfacet[1], pfacet[2], cp(neigh->vertex(i)->point()))) return false; } } return true; } } // end namespace internal } // end namespace SMDS_3 } // end namespace CGAL #endif // CGAL_INTERNAL_SMDS_3_HELPERS_H