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// Copyright (c) 2013 INRIA Sophia-Antipolis (France). // All rights reserved. // // This file is part of CGAL (www.cgal.org) // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Spatial_sorting/include/CGAL/Hilbert_sort_on_sphere_3.h $ // $Id: include/CGAL/Hilbert_sort_on_sphere_3.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // Author(s) : Olivier Devillers // Pedro Machado Manhaes de Castro #ifndef CGAL_HILBERT_SORT_ON_SPHERE_3_H #define CGAL_HILBERT_SORT_ON_SPHERE_3_H #include #include #include #include #include #include namespace CGAL { template class Hilbert_sort_on_sphere_3 { typedef P Point_3; typedef typename K::FT FT; // Face 1, x > sqrt(1/3) // Face 2, y > sqrt(1/3) // Face 3, x < -sqrt(1/3) // Face 4, z > sqrt(1/3) // Face 5, y < -sqrt(1/3) // Face 6, z < -sqrt(1/3) typedef internal::Transform_coordinates_traits_3 Face_1_traits_3; // +y +z typedef internal::Transform_coordinates_traits_3 Face_2_traits_3; // -x +z typedef internal::Transform_coordinates_traits_3 Face_3_traits_3; // +z -y typedef internal::Transform_coordinates_traits_3 Face_4_traits_3; // -y +x typedef internal::Transform_coordinates_traits_3 Face_5_traits_3; // -z +x typedef internal::Transform_coordinates_traits_3 Face_6_traits_3; // +x +y Hilbert_sort_2 _hs_1_object; Hilbert_sort_2 _hs_2_object; Hilbert_sort_2 _hs_3_object; Hilbert_sort_2 _hs_4_object; Hilbert_sort_2 _hs_5_object; Hilbert_sort_2 _hs_6_object; K _k; Point_3 _p; FT _sq_r; const FT _sqrt_of_one_over_three; public: Hilbert_sort_on_sphere_3 (const K &k = K(), FT sq_r = 1.0, const Point_3 &p = Point_3(0,0,0), std::ptrdiff_t limit=1) : _hs_1_object(Face_1_traits_3(),limit), _hs_2_object(Face_2_traits_3(),limit), _hs_3_object(Face_3_traits_3(),limit), _hs_4_object(Face_4_traits_3(),limit), _hs_5_object(Face_5_traits_3(),limit), _hs_6_object(Face_6_traits_3(),limit), _k(k), _p(p), _sq_r(sq_r), _sqrt_of_one_over_three(CGAL_NTS sqrt(FT(1)/FT(3))) { CGAL_precondition( sq_r > 0 ); } template void operator()(RandomAccessIterator begin, RandomAccessIterator end) const { typedef typename std::iterator_traits::value_type Point; std::vector< Point > vec[6]; const FT mulcte = _sqrt_of_one_over_three * CGAL_NTS sqrt(_sq_r); const FT lxi = _p.x() - mulcte, lxs = _p.x() + mulcte; const FT lyi = _p.y() - mulcte, lys = _p.y() + mulcte; const FT lzs = _p.z() + mulcte; for(RandomAccessIterator i = begin; i != end; ++i) { const Point &p = *i; const typename K::FT x = _k.compute_x_3_object()(p); const typename K::FT y = _k.compute_y_3_object()(p); const typename K::FT z = _k.compute_z_3_object()(p); // for unit sphere if(x > lxs) vec[0].push_back(p); // Face 1, x > sqrt(1/3) else if(y > lys) vec[1].push_back(p); // Face 2, y > sqrt(1/3) else if(x < lxi) vec[2].push_back(p); // Face 3, x < -sqrt(1/3) else if(z > lzs) vec[3].push_back(p); // Face 4, z > sqrt(1/3) else if(y < lyi) vec[4].push_back(p); // Face 5, y < -sqrt(1/3) else vec[5].push_back(p); // Face 6, z < -sqrt(1/3) } if(vec[0].size()) _hs_1_object(vec[0].begin(), vec[0].end()); if(vec[1].size()) _hs_2_object(vec[1].begin(), vec[1].end()); if(vec[2].size()) _hs_3_object(vec[2].begin(), vec[2].end()); if(vec[3].size()) _hs_4_object(vec[3].begin(), vec[3].end()); if(vec[4].size()) _hs_5_object(vec[4].begin(), vec[4].end()); if(vec[5].size()) _hs_6_object(vec[5].begin(), vec[5].end()); // this is the order that set of points in a face should appear // after sorting points wrt each face for(int i=0; i<6; i++) for(std::size_t j=0; j