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+// -*- C++ -*-
+
+// Copyright (C) 2007-2014 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_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_ASSERTIONS
+ _GLIBCXX_PARALLEL_ASSERT(__swapstart != -1);
+#endif
+
+ std::swap_ranges(__begin + __thread_right_border,
+ __begin + __thread_right_border
+ + __chunk_size, __begin + __swapstart);
+ }
+#if _GLIBCXX_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 */