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// Copyright (c) 2000 Max-Planck-Institute Saarbruecken (Germany). // All rights reserved. // // This file is part of CGAL (www.cgal.org). // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Partition_2/include/CGAL/partition_is_valid_2.h $ // $Id: include/CGAL/partition_is_valid_2.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Susan Hert #ifndef CGAL_PARTITION_IS_VALID_2_H #define CGAL_PARTITION_IS_VALID_2_H #include #include #include #include #include #include #include #include #include #include #include // NOTE: this could possibly be checked using a planar map overlay, but // then the traits class would have to require lots of other things // and you have to do many overlaps, not just one so it is // less efficient. namespace CGAL { template bool polygons_w_steiner_are_equal(Circulator1 orig_first, Circulator2 new_first, const Traits& traits) { typedef typename Circulator1::value_type Point_2; Circulator1 orig_circ; Circulator2 new_circ; // find the first (original) vertex in the list of vertices for (new_circ = new_first; *new_circ != *orig_first && ++new_circ != new_first;) {} if (new_circ == new_first) { #ifdef CGAL_PARTITION_CHECK_DEBUG std::cout << "first vertex " << *orig_first << " not found " << std::endl; #endif // CGAL_PARTITION_CHECK_DEBUG return false; } // first becomes the first one you found; now look for the others new_first = new_circ; orig_circ = orig_first; Point_2 prev_pt = *new_first; // keep going until you find all the original vertices, or come back // to the first new vertex do { if (*new_circ == *orig_circ) // points correspond, so move both { prev_pt = *new_circ; new_circ++; orig_circ++; } else // points don't correspond { if (traits.orientation_2_object()(prev_pt, *new_circ, *orig_circ) != COLLINEAR) { #ifdef CGAL_PARTITION_CHECK_DEBUG std::cout << *new_circ << " is not collinear with " << prev_pt << " and " << *orig_circ << std::endl; #endif return false; } prev_pt = *new_circ; new_circ++; } } while (orig_circ != orig_first && new_circ != new_first); // if they didn't both come back to the beginning, then something is wrong return (orig_circ == orig_first && new_circ == new_first); } template bool polygons_are_equal(Circulator1 orig_first, Circulator2 new_first) { Circulator1 orig_circ = orig_first; Circulator2 new_circ; // find the first (original) vertex in the list of vertices for (new_circ = new_first; *new_circ != *orig_first && ++new_circ != new_first;) {} new_first = new_circ; // now look through both lists until you find a vertex that is not // the same or you reach the end of the vertices do { #ifdef CGAL_PARTITION_CHECK_DEBUG std::cout << *new_first << " is in the right place " << std::endl; #endif orig_circ++; new_circ++; } while (*orig_circ == *new_circ && orig_circ != orig_first && new_circ != new_first); return (orig_circ == orig_first && new_circ == new_first); } namespace internal { template bool partition_is_valid_2 (InputIterator point_first, InputIterator point_last, ForwardIterator poly_first, ForwardIterator poly_last, const Traits& traits) { if (poly_first == poly_last) return (point_first == point_last); typedef typename Traits::Polygon_2::Vertex_const_iterator Poly_vtx_iterator; typedef typename Traits::Point_2 Point_2; typedef Partition_vertex_map P_Vertex_map; typedef typename Traits::Is_valid Is_valid; Poly_vtx_iterator vtx_begin, vtx_end; Is_valid is_valid = traits.is_valid_object(traits); std::list orig_poly; for (;point_first != point_last; point_first++) orig_poly.push_back(*point_first); CGAL_precondition(orientation_2(orig_poly.begin(),orig_poly.end(), traits) == COUNTERCLOCKWISE); P_Vertex_map output_vertex_set(poly_first, poly_last, traits); if (output_vertex_set.polygons_overlap()) return false; int poly_num = 0; for (; poly_first != poly_last; poly_first++, poly_num++) { vtx_begin = (*poly_first).vertices_begin(); vtx_end = (*poly_first).vertices_end(); #ifdef CGAL_PARTITION_CHECK_DEBUG std::cout << "Polygon " << poly_num << " is " << std::endl; std::cout << *poly_first << std::endl; #endif CGAL_assertion ( orientation_2(vtx_begin, vtx_end, traits) == COUNTERCLOCKWISE); if (!is_valid(vtx_begin, vtx_end)) { #ifdef CGAL_PARTITION_CHECK_DEBUG std::cout << "It does NOT have the tested property." << std::endl; #endif return false; } } std::list union_polygon; output_vertex_set.union_vertices(std::back_inserter(union_polygon)); #ifdef CGAL_PARTITION_CHECK_DEBUG typename std::list::iterator poly_iterator; std::cout << "union polygon is " << std::endl; for (poly_iterator = union_polygon.begin(); poly_iterator != union_polygon.end(); poly_iterator++) { std::cout << *poly_iterator << " "; } std::cout << std::endl; #endif // CGAL_PARTITION_CHECK_DEBUG typedef typename std::list::iterator I; typedef Circulator_from_iterator Circulator; Circulator orig_poly_circ(orig_poly.begin(), orig_poly.end()); Circulator union_poly_circ(union_polygon.begin(), union_polygon.end()); if (orig_poly.size() == union_polygon.size()) return polygons_are_equal(orig_poly_circ, union_poly_circ); else return polygons_w_steiner_are_equal(orig_poly_circ, union_poly_circ, traits); } } // namespace internal template bool partition_is_valid_2 (InputIterator point_first, InputIterator point_last, ForwardIterator poly_first, ForwardIterator poly_last) { typedef typename std::iterator_traits::value_type Point_2; typedef typename Kernel_traits::Kernel K; typedef Partition_traits_2 Traits; typedef Is_vacuously_valid Is_valid; Partition_is_valid_traits_2 validity_traits; return internal::partition_is_valid_2(point_first, point_last, poly_first, poly_last, validity_traits); } template bool partition_is_valid_2 (InputIterator point_first, InputIterator point_last, ForwardIterator poly_first, ForwardIterator poly_last, const Traits& traits) { //typedef typename std::iterator_traits::value_type Point_2; //typedef typename Kernel_traits::Kernel K; //typedef Partition_traits_2 Traits; typedef Is_vacuously_valid Is_valid; Partition_is_valid_traits_2 validity_traits(traits); return internal::partition_is_valid_2(point_first, point_last, poly_first, poly_last, validity_traits); } template bool convex_partition_is_valid_2(InputIterator point_first, InputIterator point_last, ForwardIterator poly_first, ForwardIterator poly_last, const Traits& traits) { typedef typename Traits::Is_convex_2 Is_convex_2; Partition_is_valid_traits_2 validity_traits(traits); return internal::partition_is_valid_2(point_first, point_last, poly_first, poly_last, validity_traits); } template bool convex_partition_is_valid_2(InputIterator point_first, InputIterator point_last, ForwardIterator poly_first, ForwardIterator poly_last) { typedef typename std::iterator_traits::value_type Point_2; typedef typename Kernel_traits::Kernel K; return convex_partition_is_valid_2(point_first, point_last, poly_first, poly_last, Partition_traits_2()); } template bool y_monotone_partition_is_valid_2(InputIterator point_first, InputIterator point_last, ForwardIterator poly_first, ForwardIterator poly_last, const Traits& traits) { typedef typename Traits::Is_y_monotone_2 Is_y_monotone_2; Partition_is_valid_traits_2 validity_traits(traits); return internal::partition_is_valid_2(point_first, point_last, poly_first, poly_last, validity_traits); } template bool y_monotone_partition_is_valid_2(InputIterator point_first, InputIterator point_last, ForwardIterator poly_first, ForwardIterator poly_last) { typedef typename std::iterator_traits::value_type Point_2; typedef typename Kernel_traits::Kernel K; return y_monotone_partition_is_valid_2(point_first, point_last, poly_first, poly_last, Partition_traits_2()); } } #endif // CGAL_PARTITION_IS_VALID_2_H