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SPAR/AIModule/BWTA/vendors/CGAL/CGAL/Hilbert_sort_3.h
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00001 // Copyright (c) 2007  INRIA Sophia-Antipolis (France).
00002 // All rights reserved.
00003 //
00004 // This file is part of CGAL (www.cgal.org); you can redistribute it and/or
00005 // modify it under the terms of the GNU Lesser General Public License as
00006 // published by the Free Software Foundation; version 2.1 of the License.
00007 // See the file LICENSE.LGPL distributed with CGAL.
00008 //
00009 // Licensees holding a valid commercial license may use this file in
00010 // accordance with the commercial license agreement provided with the software.
00011 //
00012 // This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
00013 // WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
00014 //
00015 // $URL: svn+ssh://scm.gforge.inria.fr/svn/cgal/branches/CGAL-3.5-branch/Spatial_sorting/include/CGAL/Hilbert_sort_3.h $
00016 // $Id: Hilbert_sort_3.h 47102 2008-11-28 09:07:23Z spion $
00017 //
00018 // Author(s)     : Christophe Delage
00019 
00020 #ifndef CGAL_HILBERT_SORT_3_H
00021 #define CGAL_HILBERT_SORT_3_H
00022 
00023 #include <CGAL/basic.h>
00024 #include <functional>
00025 #include <cstddef>
00026 #include <CGAL/Hilbert_sort_base.h>
00027 
00028 CGAL_BEGIN_NAMESPACE
00029 
00030 namespace CGALi {
00031     template <class K, int x, bool up> struct Hilbert_cmp_3;
00032 
00033     template <class K, int x>
00034     struct Hilbert_cmp_3<K,x,true>
00035         : public std::binary_function<typename K::Point_3,
00036                                       typename K::Point_3, bool>
00037     {
00038         typedef typename K::Point_3 Point;
00039         K k;
00040         Hilbert_cmp_3 (const K &_k = K()) : k(_k) {}
00041         bool operator() (const Point &p, const Point &q) const
00042         {
00043             return Hilbert_cmp_3<K,x,false> (k) (q, p);
00044         }
00045     };
00046 
00047     template <class K>
00048     struct Hilbert_cmp_3<K,0,false>
00049         : public std::binary_function<typename K::Point_3,
00050                                       typename K::Point_3, bool>
00051     {
00052         typedef typename K::Point_3 Point;
00053         K k;
00054         Hilbert_cmp_3 (const K &_k = K()) : k(_k) {}
00055         bool operator() (const Point &p, const Point &q) const
00056         {
00057             return k.less_x_3_object() (p, q);
00058         }
00059     };
00060 
00061     template <class K>
00062     struct Hilbert_cmp_3<K,1,false>
00063         : public std::binary_function<typename K::Point_3,
00064                                       typename K::Point_3, bool>
00065     {
00066         typedef typename K::Point_3 Point;
00067         K k;
00068         Hilbert_cmp_3 (const K &_k = K()) : k(_k) {}
00069         bool operator() (const Point &p, const Point &q) const
00070         {
00071             return k.less_y_3_object() (p, q);
00072         }
00073     };
00074 
00075     template <class K>
00076     struct Hilbert_cmp_3<K,2,false>
00077         : public std::binary_function<typename K::Point_3,
00078                                       typename K::Point_3, bool>
00079     {
00080         typedef typename K::Point_3 Point;
00081         K k;
00082         Hilbert_cmp_3 (const K &_k = K()) : k(_k) {}
00083         bool operator() (const Point &p, const Point &q) const
00084         {
00085             return k.less_z_3_object() (p, q);
00086         }
00087     };
00088 }
00089 
00090 template <class K>
00091 class Hilbert_sort_3
00092 {
00093 public:
00094     typedef K Kernel;
00095     typedef typename Kernel::Point_3 Point;
00096 
00097 private:
00098     Kernel _k;
00099     std::ptrdiff_t _limit;
00100 
00101     template <int x, bool up> struct Cmp : public CGALi::Hilbert_cmp_3<Kernel,x,up>
00102     { Cmp (const Kernel &k) : CGALi::Hilbert_cmp_3<Kernel,x,up> (k) {} };
00103 
00104 public:
00105     Hilbert_sort_3 (const Kernel &k = Kernel(), std::ptrdiff_t limit = 1)
00106         : _k(k), _limit (limit)
00107     {}
00108 
00109     template <int x, bool upx, bool upy, bool upz, class RandomAccessIterator>
00110     void sort (RandomAccessIterator begin, RandomAccessIterator end) const
00111     {
00112         const int y = (x + 1) % 3, z = (x + 2) % 3;
00113         if (end - begin <= _limit) return;
00114 
00115         RandomAccessIterator m0 = begin, m8 = end;
00116 
00117         RandomAccessIterator m4 = CGALi::hilbert_split (m0, m8, Cmp< x,  upx> (_k));
00118         RandomAccessIterator m2 = CGALi::hilbert_split (m0, m4, Cmp< y,  upy> (_k));
00119         RandomAccessIterator m1 = CGALi::hilbert_split (m0, m2, Cmp< z,  upz> (_k));
00120         RandomAccessIterator m3 = CGALi::hilbert_split (m2, m4, Cmp< z, !upz> (_k));
00121         RandomAccessIterator m6 = CGALi::hilbert_split (m4, m8, Cmp< y, !upy> (_k));
00122         RandomAccessIterator m5 = CGALi::hilbert_split (m4, m6, Cmp< z,  upz> (_k));
00123         RandomAccessIterator m7 = CGALi::hilbert_split (m6, m8, Cmp< z, !upz> (_k));
00124 
00125         sort<z, upz, upx, upy> (m0, m1);
00126         sort<y, upy, upz, upx> (m1, m2);
00127         sort<y, upy, upz, upx> (m2, m3);
00128         sort<x, upx,!upy,!upz> (m3, m4);
00129         sort<x, upx,!upy,!upz> (m4, m5);
00130         sort<y,!upy, upz,!upx> (m5, m6);
00131         sort<y,!upy, upz,!upx> (m6, m7);
00132         sort<z,!upz,!upx, upy> (m7, m8);
00133     }
00134 
00135     template <class RandomAccessIterator>
00136     void operator() (RandomAccessIterator begin, RandomAccessIterator end) const
00137     {
00138         sort <0, false, false, false> (begin, end);
00139     }
00140 };
00141 
00142 CGAL_END_NAMESPACE
00143 
00144 #endif//CGAL_HILBERT_SORT_3_H
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