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// Copyright (c) 2011 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_middle_d.h $ // $Id: include/CGAL/Hilbert_sort_middle_d.h b26b07a1242 $ // SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial // // Author(s) : Olivier Devillers #ifndef CGAL_HILBERT_SORT_MIDDLE_d_H #define CGAL_HILBERT_SORT_MIDDLE_d_H #include #include #include #include #include namespace CGAL { namespace internal { template struct Fixed_hilbert_cmp_d : public CGAL::cpp98::binary_function { typedef typename K::Point_d Point; K k; int axe; bool orient; double value; Fixed_hilbert_cmp_d (int a, bool o, double v, const K &_k) : k(_k), axe(a), orient(o), value(v) {} bool operator() (const Point &p) const { return (orient ? ( to_double( k.compute_coordinate_d_object() (p,axe) ) > value) : ( to_double( k.compute_coordinate_d_object() (p,axe) ) <= value)); } }; } template class Hilbert_sort_middle_d { public: typedef K Kernel; typedef typename Kernel::Point_d Point; typedef std::vector< bool > Starting_position; typedef std::vector< double > Corner; private: Kernel _k; std::ptrdiff_t _limit; mutable int _dimension; mutable int two_to_dim; struct Cmp : public internal::Fixed_hilbert_cmp_d { Cmp (int a, bool dir, double v, const Kernel &k) : internal::Fixed_hilbert_cmp_d (a,dir,v,k) {} }; public: Hilbert_sort_middle_d (const Kernel &k, std::ptrdiff_t limit = 1) : _k(k), _limit (limit) {} template void sort (RandomAccessIterator begin, RandomAccessIterator end, Starting_position start, int direction, Corner mini, Corner maxi) const { if (end - begin <= _limit) return; Corner med(_dimension); for( int i=0; i<_dimension; ++i) med[i]=(mini[i]+maxi[i])/2; Corner cmin=mini,cmax=med; std::vector places(two_to_dim +1); std::vector dir (two_to_dim +1); places[0]=begin; places[two_to_dim]=end; int last_dir = (direction + _dimension) % _dimension; int current_dir = direction; int current_level_step =two_to_dim; do{ int half_step = current_level_step/2; int left=0; int middle = half_step; int right=current_level_step; bool orient = start[current_dir]; do{ dir[middle] = current_dir; places[middle] = internal::fixed_hilbert_split (places[left], places[right], Cmp (current_dir,orient,med[current_dir],_k)); left =right; right+=current_level_step; middle+=current_level_step; orient = ! orient; }while( left< two_to_dim); current_level_step = half_step; current_dir = (current_dir +1) % _dimension; }while (current_dir != last_dir); /////////////start recursive calls last_dir = (direction + _dimension -1) % _dimension; // first step is special if (places[1]!=end) sort( places[0], places[1], start, last_dir,cmin,cmax); cmin[last_dir] = med[last_dir]; cmax[last_dir] = maxi[last_dir]; for(int i=1; i void operator() (RandomAccessIterator begin, RandomAccessIterator end) const { _dimension = _k.point_dimension_d_object()(*begin); two_to_dim = 1; Starting_position start(_dimension); Corner mini(_dimension),maxi(_dimension); for (int i=0; i<_dimension; ++i) mini[i]=maxi[i]=to_double( _k.compute_coordinate_d_object() (*begin,i) ); for(RandomAccessIterator it=begin+1; it maxi[i]) maxi[i] = d; } } for (int i=0; i<_dimension; ++i) { start[i]=false; // we start below in all coordinates two_to_dim *= 2; // compute 2^_dimension if (two_to_dim*2 <= 0) { CGAL_assertion(end-begin < two_to_dim);//too many points in such dim break; } } // we start with direction 0; sort (begin, end, start, 0, mini, maxi); } }; } // namespace CGAL #endif//CGAL_HILBERT_SORT_MIDDLE_d_H