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// Copyright (c) 1998 // 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_convex_set_2.h $ // $Id: include/CGAL/random_convex_set_2.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Michael Hoffmann #ifndef CGAL_RANDOM_CONVEX_SET_2_H #define CGAL_RANDOM_CONVEX_SET_2_H 1 #include #include #include #include #include #include namespace CGAL { template < class OutputIterator, class Point_generator, class Traits > OutputIterator random_convex_set_2( std::size_t n, OutputIterator o, const Point_generator& pg, Traits t) { CGAL_precondition( n >= 3); using std::vector; using std::back_inserter; using std::accumulate; using std::transform; using std::sort; using std::partial_sum; using std::less; using std::max_element; using std::copy_n; typedef typename Traits::Point_2 Point_2; typedef typename Traits::FT FT; typedef vector< Point_2 > Container; typedef typename Traits::Sum Sum; typedef typename Traits::Scale Scale; typedef typename Traits::Angle_less Angle_less; typedef typename Traits::Max_coordinate Max_coordinate; // GCC 2.8 and egcs-1.0.1 require these: // (does not accept s.l. Scale()( p, 1)) Scale scale; Max_coordinate max_coordinate; Sum sum; // build random point set: Container points; points.reserve( n); std::copy_n( pg, n, back_inserter( points)); // compute centroid of points: // Point_2 centroid = CGAL::centroid( points.begin(), points.end(), t ); Point_2 centroid = t.origin(); for(const Point_2& p : points){ centroid = sum(centroid, p); } centroid = scale(centroid, FT(1)/FT(n)); // translate s.t. centroid == origin: transform( points.begin(), points.end(), points.begin(), [¢roid, &sum, &scale](const Point_2& p) { return sum(p, scale(centroid, FT( -1))); }); // sort them according to their direction's angle // w.r.t. the positive x-axis: sort( points.begin(), points.end(), Angle_less()); // construct polygon: partial_sum( points.begin(), points.end(), points.begin(), Sum()); // and compute its centroid: Point_2 new_centroid = t.origin(); for(const Point_2& p : points){ new_centroid = sum(new_centroid, p); } new_centroid = scale(new_centroid, FT(1)/FT(n)); // translate s.t. centroids match: transform( points.begin(), points.end(), points.begin(), [¢roid, &new_centroid, &sum, &scale](const Point_2& p) {return sum(p, sum( centroid, scale(new_centroid, FT( -1)))); } ); // compute maximal coordinate: FT maxcoord( max_coordinate( *max_element( points.begin(), points.end(), compose2_2( less< FT >(), Max_coordinate(), Max_coordinate())))); // and finally scale to fit into original grid: return transform( points.begin(), points.end(), o, [&pg, &maxcoord, &scale](const Point_2& p){ return scale(p, FT( pg.range()) / maxcoord); }); } // random_convex_set_2( n, o, pg, t) } //namespace CGAL #endif // ! (CGAL_RANDOM_CONVEX_SET_2_H)