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// Copyright (c) 2000 // Utrecht University (The Netherlands), // ETH Zurich (Switzerland), // INRIA Sophia-Antipolis (France), // Max-Planck-Institute Saarbruecken (Germany), // and Tel-Aviv University (Israel). All rights reserved. // // This file is part of CGAL (www.cgal.org) // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Generator/include/CGAL/random_polygon_2.h $ // $Id: include/CGAL/random_polygon_2.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // Author(s) : Susan Hert #ifndef CGAL_RANDOM_POLYGON_2_H #define CGAL_RANDOM_POLYGON_2_H #include #include #include #include #include #include namespace CGAL { // // Using the provided point generator, generates a set of n points and // produces a simple polygon from the unique subset of points within this // set. // // Each of the p possible simple polygons for the unique point set is // generated with probability greater than 0 but the polygons are not // generated with uniform probability. // template OutputIterator random_polygon_2(std::size_t n, OutputIterator result, const PointGenerator& pg, const Traits& traits) { typedef typename Traits::Point_2 Point_2; typedef std::vector Vertex_list; Vertex_list vertices; copy_n_unique(pg, n, std::back_inserter(vertices), traits); CGAL_assertion(!duplicate_points(vertices.begin(), vertices.end(), traits)); CGAL_precondition_code(auto d = std::distance(vertices.begin(), vertices.end());) CGAL_precondition(d > 2); CGAL_precondition_code(const Point_2& p = *(vertices.begin());) CGAL_precondition_code(const Point_2& q = *(std::next(vertices.begin()));) CGAL_precondition_code(auto third_it = std::next(vertices.begin(), 2);) CGAL_precondition_code(bool all_collinear = true;) CGAL_precondition_code(do {) CGAL_precondition_code( if(traits.orientation_2_object()(p, q, *third_it) != CGAL::COLLINEAR) {) CGAL_precondition_code( all_collinear = false;) CGAL_precondition_code( break;) CGAL_precondition_code( }) CGAL_precondition_code(} while(++third_it != vertices.end());) CGAL_precondition(!all_collinear); #ifndef CGAL_DONT_SHUFFLE_IN_RANDOM_POLYGON_2 CGAL::cpp98::random_shuffle(vertices.begin(), vertices.end()); #endif make_simple_polygon(vertices.begin(), vertices.end(), traits); if (orientation_2(vertices.begin(), vertices.end()) == CLOCKWISE) std::reverse(vertices.begin(), vertices.end()); CGAL_assertion(is_simple_2(vertices.begin(), vertices.end())); return std::copy(vertices.begin(), vertices.end(), result); } template inline OutputIterator random_polygon_2( std::size_t n, OutputIterator result, const PointGenerator& pg ) { typedef typename std::iterator_traits::value_type Point_2; typedef typename Kernel_traits::Kernel K; return random_polygon_2(n, result, pg, K()); } template bool duplicate_points(ForwardIterator first, ForwardIterator beyond, const Traits& ) { typedef typename Traits::Point_2 Point_2; typedef typename Traits::Less_xy_2 Less_xy_2; std::set point_set; for (; first != beyond; first++) if (!(point_set.insert(*first)).second) return true; return false; } template bool duplicate_points(ForwardIterator first, ForwardIterator beyond) { typedef typename std::iterator_traits::value_type Point_2; typedef typename Kernel_traits::Kernel K; return duplicate_points(first, beyond, K()); } // Copies the first n points from the input iterator to the output iterator, // removing any duplicates. Thus fewer than n points may be inserted into // the output iterator. template OutputIterator copy_n_unique(InputIterator first, Size n, OutputIterator result, const Traits& ) { typedef typename Traits::Point_2 Point_2; typedef typename Traits::Less_xy_2 Less_xy_2; std::set sorted_point_set; for (Size i = 0; i < n; i++) { if (sorted_point_set.insert(*first).second) { *result = *first; result++; } first++; } return result; } template inline OutputIterator copy_n_unique(InputIterator first, Size n, OutputIterator result) { typedef typename std::iterator_traits::value_type Point_2; typedef typename Kernel_traits::Kernel K; return copy_n_unique(first, n, result, K()); } } // namespace CGAL #endif