// 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_2.h $
// $Id: include/CGAL/Hilbert_sort_middle_2.h b26b07a1242 $
// SPDX-License-Identifier: LGPL-3.0-or-later OR LicenseRef-Commercial
//
// Author(s)     :  Olivier Devillers

#ifndef CGAL_HILBERT_SORT_MIDDLE_2_H
#define CGAL_HILBERT_SORT_MIDDLE_2_H

#include <CGAL/config.h>
#include <functional>
#include <cstddef>
#include <CGAL/Hilbert_sort_middle_base.h>
#include <CGAL/number_utils.h>

namespace CGAL {

namespace internal {
template <class K, int x, bool up> struct Fixed_hilbert_cmp_2;

template <class K, int x>
struct Fixed_hilbert_cmp_2<K,x,true>
    : public CGAL::cpp98::binary_function<typename K::Point_2,
    typename K::Point_2, bool>
{
  typedef typename K::Point_2 Point;
  K k;
  double value;
  Fixed_hilbert_cmp_2 (double v, const K &_k) : k(_k),value(v) {}
  bool operator() (const Point &p) const
  {
    return ! Fixed_hilbert_cmp_2<K,x,false> (value, k) (p);
  }
};

template <class K>
struct Fixed_hilbert_cmp_2<K,0,false>
    : public CGAL::cpp98::binary_function<typename K::Point_2,
    typename K::Point_2, bool>
{
  typedef typename K::Point_2 Point;
  K k;
  double value;
  Fixed_hilbert_cmp_2 (double v, const K &_k) : k(_k),value(v) {}
  bool operator() (const Point &p) const
  {
    return to_double(k.compute_x_2_object()(p)) < value;
  }
};

template <class K>
struct Fixed_hilbert_cmp_2<K,1,false>
    : public CGAL::cpp98::binary_function<typename K::Point_2,
    typename K::Point_2, bool>
{
  typedef typename K::Point_2 Point;
  K k;
  double value;
  Fixed_hilbert_cmp_2 (double v, const K &_k) : k(_k),value(v) {}
  bool operator() (const Point &p) const
  {
    return to_double(k.compute_y_2_object()(p)) < value;
  }
};

} // namespace internal

template <class K>
class Hilbert_sort_middle_2
{
public:
  typedef K Kernel;
  typedef typename Kernel::Point_2 Point;

private:
  Kernel _k;
  std::ptrdiff_t _limit;

  template <int x, bool up>
  struct Cmp
    : public internal::Fixed_hilbert_cmp_2<Kernel,x,up>
  {
    Cmp (double v, const Kernel &k) : internal::Fixed_hilbert_cmp_2<Kernel,x,up> (v, k) {}
  };

public:
  Hilbert_sort_middle_2 (const Kernel &k, std::ptrdiff_t limit = 1)
    : _k(k), _limit (limit)
  {}

  template <int x, bool upx, bool upy, class RandomAccessIterator>
  void sort (RandomAccessIterator begin, RandomAccessIterator end,
             double xmin, double ymin, double xmax, double ymax) const
  {
    const int y = (x + 1) % 2;
    if (end - begin <= _limit) return;

    double xmed= (xmin+xmax)/2;
    double ymed= (ymin+ymax)/2;

    RandomAccessIterator m0 = begin, m4 = end;

    RandomAccessIterator m2 = internal::fixed_hilbert_split (m0, m4, Cmp< x,  upx> (xmed,_k));
    RandomAccessIterator m1 = internal::fixed_hilbert_split (m0, m2, Cmp< y,  upy> (ymed,_k));
    RandomAccessIterator m3 = internal::fixed_hilbert_split (m2, m4, Cmp< y, !upy> (ymed,_k));

    if (m1!=m4)
      sort<y, upy, upx> (m0, m1, ymin, xmin, ymed, xmed);
    if (m1!=m0 || m2!=m4)
      sort<x, upx, upy> (m1, m2, xmin, ymed, xmed, ymax);
    if (m2!=m0 || m3!=m4)
      sort<x, upx, upy> (m2, m3, xmed, ymed, xmax, ymax);
    if (m3!=m0)
      sort<y,!upy,!upx> (m3, m4, ymed, xmax, ymin, xmed);
  }

  template <class RandomAccessIterator>
  void operator() (RandomAccessIterator begin, RandomAccessIterator end) const
  {
    //Bbox_2 box=bbox_2(begin, end); BUG: WE NEED TO FIX THIS
    double xmin=to_double(_k.compute_x_2_object()(*begin)),
           ymin=to_double(_k.compute_y_2_object()(*begin)),
           xmax=xmin,
           ymax=ymin;

    for(RandomAccessIterator it=begin+1; it<end; ++it){
      if ( to_double(_k.compute_x_2_object()(*it)) < xmin)
        xmin = to_double(_k.compute_x_2_object()(*it));
      if ( to_double(_k.compute_y_2_object()(*it)) < ymin)
        ymin = to_double(_k.compute_y_2_object()(*it));
      if ( to_double(_k.compute_x_2_object()(*it)) > xmax)
        xmax = to_double(_k.compute_x_2_object()(*it));
      if ( to_double(_k.compute_y_2_object()(*it)) > ymax)
        ymax = to_double(_k.compute_y_2_object()(*it));
    }

    sort <0, false, false> (begin, end, xmin, ymin, xmax, ymax);
  }
};

} // namespace CGAL

#endif//CGAL_HILBERT_SORT_MIDDLE_2_H

