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							- // -*- C++ -*-
 - 
 - // Copyright (C) 2007-2020 Free Software Foundation, Inc.
 - //
 - // This file is part of the GNU ISO C++ Library.  This library is free
 - // software; you can redistribute it and/or modify it under the terms
 - // of the GNU General Public License as published by the Free Software
 - // Foundation; either version 3, or (at your option) any later
 - // version.
 - 
 - // This library is distributed in the hope that it will be useful, but
 - // WITHOUT ANY WARRANTY; without even the implied warranty of
 - // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
 - // General Public License for more details.
 - 
 - // Under Section 7 of GPL version 3, you are granted additional
 - // permissions described in the GCC Runtime Library Exception, version
 - // 3.1, as published by the Free Software Foundation.
 - 
 - // You should have received a copy of the GNU General Public License and
 - // a copy of the GCC Runtime Library Exception along with this program;
 - // see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
 - // <http://www.gnu.org/licenses/>.
 - 
 - /** @file parallel/partition.h
 -  *  @brief Parallel implementation of std::partition(),
 -  *  std::nth_element(), and std::partial_sort().
 -  *  This file is a GNU parallel extension to the Standard C++ Library.
 -  */
 - 
 - // Written by Johannes Singler and Felix Putze.
 - 
 - #ifndef _GLIBCXX_PARALLEL_PARTITION_H
 - #define _GLIBCXX_PARALLEL_PARTITION_H 1
 - 
 - #include <parallel/basic_iterator.h>
 - #include <parallel/sort.h>
 - #include <parallel/random_number.h>
 - #include <bits/stl_algo.h>
 - #include <parallel/parallel.h>
 - 
 - /** @brief Decide whether to declare certain variables volatile. */
 - #define _GLIBCXX_VOLATILE volatile
 - 
 - namespace __gnu_parallel
 - {
 -   /** @brief Parallel implementation of std::partition.
 -     *  @param __begin Begin iterator of input sequence to split.
 -     *  @param __end End iterator of input sequence to split.
 -     *  @param __pred Partition predicate, possibly including some kind
 -     *         of pivot.
 -     *  @param __num_threads Maximum number of threads to use for this task.
 -     *  @return Number of elements not fulfilling the predicate. */
 -   template<typename _RAIter, typename _Predicate>
 -     typename std::iterator_traits<_RAIter>::difference_type
 -     __parallel_partition(_RAIter __begin, _RAIter __end,
 - 			 _Predicate __pred, _ThreadIndex __num_threads)
 -     {
 -       typedef std::iterator_traits<_RAIter> _TraitsType;
 -       typedef typename _TraitsType::value_type _ValueType;
 -       typedef typename _TraitsType::difference_type _DifferenceType;
 - 
 -       _DifferenceType __n = __end - __begin;
 - 
 -       _GLIBCXX_CALL(__n)
 - 
 -       const _Settings& __s = _Settings::get();
 - 
 -       // shared
 -       _GLIBCXX_VOLATILE _DifferenceType __left = 0, __right = __n - 1,
 -                                         __dist = __n,
 -                                         __leftover_left, __leftover_right,
 -                                         __leftnew, __rightnew;
 - 
 -       // just 0 or 1, but int to allow atomic operations
 -       int* __reserved_left = 0, * __reserved_right = 0;
 - 
 -       _DifferenceType __chunk_size = __s.partition_chunk_size;
 - 
 -       //at least two chunks per thread
 -       if (__dist >= 2 * __num_threads * __chunk_size)
 - #       pragma omp parallel num_threads(__num_threads)
 - 	{
 - #         pragma omp single
 - 	  {
 - 	    __num_threads = omp_get_num_threads();
 - 	    __reserved_left = new int[__num_threads];
 - 	    __reserved_right = new int[__num_threads];
 - 
 - 	    if (__s.partition_chunk_share > 0.0)
 - 	      __chunk_size = std::max<_DifferenceType>
 - 		(__s.partition_chunk_size, (double)__n 
 - 		 * __s.partition_chunk_share / (double)__num_threads);
 - 	    else
 - 	      __chunk_size = __s.partition_chunk_size;
 - 	  }
 - 
 - 	  while (__dist >= 2 * __num_threads * __chunk_size)
 - 	    {
 - #             pragma omp single
 - 	      {
 - 		_DifferenceType __num_chunks = __dist / __chunk_size;
 - 
 - 		for (_ThreadIndex __r = 0; __r < __num_threads; ++__r)
 - 		  {
 - 		    __reserved_left [__r] = 0; // false
 - 		    __reserved_right[__r] = 0; // false
 - 		  }
 - 		__leftover_left = 0;
 - 		__leftover_right = 0;
 - 	      } //implicit barrier
 - 
 - 	      // Private.
 - 	      _DifferenceType __thread_left, __thread_left_border,
 - 		              __thread_right, __thread_right_border;
 - 
 - 	      __thread_left = __left + 1;
 - 	      // Just to satisfy the condition below.
 - 	      __thread_left_border = __thread_left - 1;
 - 
 - 	      __thread_right = __n - 1;
 -              // Just to satisfy the condition below.
 - 	      __thread_right_border = __thread_right + 1;
 - 
 - 	      bool __iam_finished = false;
 - 	      while (!__iam_finished)
 - 		{
 - 		  if (__thread_left > __thread_left_border)
 - 		    {
 -                       _DifferenceType __former_dist =
 -                               __fetch_and_add(&__dist, -__chunk_size);
 -                       if (__former_dist < __chunk_size)
 -                         {
 -                           __fetch_and_add(&__dist, __chunk_size);
 -                           __iam_finished = true;
 -                           break;
 -                         }
 -                       else
 -                         {
 -                           __thread_left =
 -                                   __fetch_and_add(&__left, __chunk_size);
 -                           __thread_left_border =
 -                                   __thread_left + (__chunk_size - 1);
 -                         }
 - 		    }
 - 
 - 		  if (__thread_right < __thread_right_border)
 - 		    {
 -                       _DifferenceType __former_dist =
 -                               __fetch_and_add(&__dist, -__chunk_size);
 -                       if (__former_dist < __chunk_size)
 -                         {
 -                           __fetch_and_add(&__dist, __chunk_size);
 -                           __iam_finished = true;
 -                           break;
 -                         }
 -                       else
 -                         {
 -                           __thread_right =
 -                                   __fetch_and_add(&__right, -__chunk_size);
 -                           __thread_right_border =
 -                                   __thread_right - (__chunk_size - 1);
 -                         }
 - 		    }
 - 
 - 		  // Swap as usual.
 - 		  while (__thread_left < __thread_right)
 - 		    {
 - 		      while (__pred(__begin[__thread_left])
 - 			     && __thread_left <= __thread_left_border)
 - 			++__thread_left;
 - 		      while (!__pred(__begin[__thread_right])
 - 			     && __thread_right >= __thread_right_border)
 - 			--__thread_right;
 - 
 - 		      if (__thread_left > __thread_left_border
 - 			  || __thread_right < __thread_right_border)
 - 			// Fetch new chunk(__s).
 - 			break;
 - 
 - 		      std::iter_swap(__begin + __thread_left,
 -                              __begin + __thread_right);
 - 		      ++__thread_left;
 - 		      --__thread_right;
 - 		    }
 - 		}
 - 
 - 	      // Now swap the leftover chunks to the right places.
 - 	      if (__thread_left <= __thread_left_border)
 - #               pragma omp atomic
 - 		++__leftover_left;
 - 	      if (__thread_right >= __thread_right_border)
 - #               pragma omp atomic
 - 		++__leftover_right;
 - 
 - #             pragma omp barrier
 - 
 -               _DifferenceType
 -                     __leftold = __left,
 -                     __leftnew = __left - __leftover_left * __chunk_size,
 -                     __rightold = __right,
 -                     __rightnew = __right + __leftover_right * __chunk_size;
 - 
 - 	      // <=> __thread_left_border + (__chunk_size - 1) >= __leftnew
 - 	      if (__thread_left <= __thread_left_border
 - 		  && __thread_left_border >= __leftnew)
 - 		{
 - 		  // Chunk already in place, reserve spot.
 - 		__reserved_left[(__left - (__thread_left_border + 1))
 - 				/ __chunk_size] = 1;
 - 		}
 - 
 - 	      // <=> __thread_right_border - (__chunk_size - 1) <= __rightnew
 - 	      if (__thread_right >= __thread_right_border
 - 		  && __thread_right_border <= __rightnew)
 - 		{
 - 		  // Chunk already in place, reserve spot.
 - 		  __reserved_right[((__thread_right_border - 1) - __right)
 - 				   / __chunk_size] = 1;
 - 		}
 - 
 - #             pragma omp barrier
 - 
 - 	      if (__thread_left <= __thread_left_border
 - 		  && __thread_left_border < __leftnew)
 - 		{
 - 		  // Find spot and swap.
 - 		  _DifferenceType __swapstart = -1;
 -                   for (int __r = 0; __r < __leftover_left; ++__r)
 -                     if (__reserved_left[__r] == 0
 -                         && __compare_and_swap(&(__reserved_left[__r]), 0, 1))
 -                       {
 -                         __swapstart = __leftold - (__r + 1) * __chunk_size;
 -                         break;
 -                       }
 - 
 - #if _GLIBCXX_PARALLEL_ASSERTIONS
 - 		  _GLIBCXX_PARALLEL_ASSERT(__swapstart != -1);
 - #endif
 - 
 - 		  std::swap_ranges(__begin + __thread_left_border
 - 				   - (__chunk_size - 1),
 - 				   __begin + __thread_left_border + 1,
 - 				   __begin + __swapstart);
 - 		}
 - 
 - 	      if (__thread_right >= __thread_right_border
 - 		  && __thread_right_border > __rightnew)
 - 		{
 - 		  // Find spot and swap
 - 		  _DifferenceType __swapstart = -1;
 -                   for (int __r = 0; __r < __leftover_right; ++__r)
 -                     if (__reserved_right[__r] == 0
 -                         && __compare_and_swap(&(__reserved_right[__r]), 0, 1))
 -                       {
 -                         __swapstart = __rightold + __r * __chunk_size + 1;
 -                         break;
 -                       }
 - 
 - #if _GLIBCXX_PARALLEL_ASSERTIONS
 - 		  _GLIBCXX_PARALLEL_ASSERT(__swapstart != -1);
 - #endif
 - 
 - 		  std::swap_ranges(__begin + __thread_right_border,
 - 				   __begin + __thread_right_border
 - 				   + __chunk_size, __begin + __swapstart);
 - 	      }
 - #if _GLIBCXX_PARALLEL_ASSERTIONS
 - #             pragma omp barrier
 - 
 - #             pragma omp single
 - 	      {
 - 		for (_DifferenceType __r = 0; __r < __leftover_left; ++__r)
 - 		  _GLIBCXX_PARALLEL_ASSERT(__reserved_left[__r] == 1);
 - 		for (_DifferenceType __r = 0; __r < __leftover_right; ++__r)
 - 		  _GLIBCXX_PARALLEL_ASSERT(__reserved_right[__r] == 1);
 - 	      }
 - #endif
 - 
 - 	      __left = __leftnew;
 - 	      __right = __rightnew;
 -               __dist = __right - __left + 1;
 - 	    }
 - 
 - #           pragma omp flush(__left, __right)
 - 	} // end "recursion" //parallel
 - 
 -         _DifferenceType __final_left = __left, __final_right = __right;
 - 
 - 	while (__final_left < __final_right)
 - 	  {
 - 	    // Go right until key is geq than pivot.
 - 	    while (__pred(__begin[__final_left])
 - 		   && __final_left < __final_right)
 - 	      ++__final_left;
 - 
 - 	    // Go left until key is less than pivot.
 - 	    while (!__pred(__begin[__final_right])
 - 		   && __final_left < __final_right)
 - 	      --__final_right;
 - 
 - 	    if (__final_left == __final_right)
 - 	      break;
 - 	    std::iter_swap(__begin + __final_left, __begin + __final_right);
 - 	    ++__final_left;
 - 	    --__final_right;
 - 	  }
 - 
 - 	// All elements on the left side are < piv, all elements on the
 - 	// right are >= piv
 - 	delete[] __reserved_left;
 - 	delete[] __reserved_right;
 - 
 - 	// Element "between" __final_left and __final_right might not have
 - 	// been regarded yet
 - 	if (__final_left < __n && !__pred(__begin[__final_left]))
 - 	  // Really swapped.
 - 	  return __final_left;
 - 	else
 - 	  return __final_left + 1;
 -     }
 - 
 -   /**
 -     *  @brief Parallel implementation of std::nth_element().
 -     *  @param __begin Begin iterator of input sequence.
 -     *  @param __nth _Iterator of element that must be in position afterwards.
 -     *  @param __end End iterator of input sequence.
 -     *  @param __comp Comparator.
 -     */
 -   template<typename _RAIter, typename _Compare>
 -     void 
 -     __parallel_nth_element(_RAIter __begin, _RAIter __nth, 
 - 			   _RAIter __end, _Compare __comp)
 -     {
 -       typedef std::iterator_traits<_RAIter> _TraitsType;
 -       typedef typename _TraitsType::value_type _ValueType;
 -       typedef typename _TraitsType::difference_type _DifferenceType;
 - 
 -       _GLIBCXX_CALL(__end - __begin)
 - 
 -       _RAIter __split;
 -       _RandomNumber __rng;
 - 
 -       const _Settings& __s = _Settings::get();
 -       _DifferenceType __minimum_length = std::max<_DifferenceType>(2,
 -         std::max(__s.nth_element_minimal_n, __s.partition_minimal_n));
 - 
 -       // Break if input range to small.
 -       while (static_cast<_SequenceIndex>(__end - __begin) >= __minimum_length)
 - 	{
 -           _DifferenceType __n = __end - __begin;
 - 
 -           _RAIter __pivot_pos = __begin + __rng(__n);
 - 
 -           // Swap __pivot_pos value to end.
 -           if (__pivot_pos != (__end - 1))
 -             std::iter_swap(__pivot_pos, __end - 1);
 -           __pivot_pos = __end - 1;
 - 
 -           // _Compare must have first_value_type, second_value_type,
 -           // result_type
 -           // _Compare ==
 -           // __gnu_parallel::_Lexicographic<S, int,
 - 	  //                                __gnu_parallel::_Less<S, S> >
 -           // __pivot_pos == std::pair<S, int>*
 -           __gnu_parallel::__binder2nd<_Compare, _ValueType, _ValueType, bool>
 -             __pred(__comp, *__pivot_pos);
 - 
 -           // Divide, leave pivot unchanged in last place.
 -           _RAIter __split_pos1, __split_pos2;
 -           __split_pos1 = __begin + __parallel_partition(__begin, __end - 1,
 - 							__pred,
 - 							__get_max_threads());
 - 
 -           // Left side: < __pivot_pos; __right side: >= __pivot_pos
 - 
 -           // Swap pivot back to middle.
 -           if (__split_pos1 != __pivot_pos)
 -             std::iter_swap(__split_pos1, __pivot_pos);
 -           __pivot_pos = __split_pos1;
 - 
 -           // In case all elements are equal, __split_pos1 == 0
 -           if ((__split_pos1 + 1 - __begin) < (__n >> 7)
 -               || (__end - __split_pos1) < (__n >> 7))
 -             {
 -               // Very unequal split, one part smaller than one 128th
 -               // elements not strictly larger than the pivot.
 -               __gnu_parallel::__unary_negate<__gnu_parallel::
 -         	__binder1st<_Compare, _ValueType,
 - 		            _ValueType, bool>, _ValueType>
 -         	__pred(__gnu_parallel::__binder1st<_Compare, _ValueType,
 - 		       _ValueType, bool>(__comp, *__pivot_pos));
 - 
 -               // Find other end of pivot-equal range.
 -               __split_pos2 = __gnu_sequential::partition(__split_pos1 + 1,
 - 							 __end, __pred);
 -             }
 -           else
 -             // Only skip the pivot.
 -             __split_pos2 = __split_pos1 + 1;
 - 
 -           // Compare iterators.
 -           if (__split_pos2 <= __nth)
 -             __begin = __split_pos2;
 -           else if (__nth < __split_pos1)
 -             __end = __split_pos1;
 -           else
 -             break;
 - 	}
 - 
 -       // Only at most _Settings::partition_minimal_n __elements __left.
 -       __gnu_sequential::nth_element(__begin, __nth, __end, __comp);
 -     }
 - 
 -   /** @brief Parallel implementation of std::partial_sort().
 -   *  @param __begin Begin iterator of input sequence.
 -   *  @param __middle Sort until this position.
 -   *  @param __end End iterator of input sequence.
 -   *  @param __comp Comparator. */
 -   template<typename _RAIter, typename _Compare>
 -     void
 -     __parallel_partial_sort(_RAIter __begin,
 - 			    _RAIter __middle,
 - 			    _RAIter __end, _Compare __comp)
 -     {
 -       __parallel_nth_element(__begin, __middle, __end, __comp);
 -       std::sort(__begin, __middle, __comp);
 -     }
 - 
 - } //namespace __gnu_parallel
 - 
 - #undef _GLIBCXX_VOLATILE
 - 
 - #endif /* _GLIBCXX_PARALLEL_PARTITION_H */
 
 
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