| 1 | // -*- C++ -*-
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| 2 |
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| 3 | // Copyright (C) 2007-2021 Free Software Foundation, Inc.
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| 4 | //
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| 5 | // This file is part of the GNU ISO C++ Library. This library is free
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| 6 | // software; you can redistribute it and/or modify it under the terms
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| 7 | // of the GNU General Public License as published by the Free Software
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| 8 | // Foundation; either version 3, or (at your option) any later
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| 9 | // version.
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| 10 |
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| 11 | // This library is distributed in the hope that it will be useful, but
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| 12 | // WITHOUT ANY WARRANTY; without even the implied warranty of
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| 13 | // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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| 14 | // General Public License for more details.
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| 15 |
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| 16 | // Under Section 7 of GPL version 3, you are granted additional
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| 17 | // permissions described in the GCC Runtime Library Exception, version
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| 18 | // 3.1, as published by the Free Software Foundation.
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| 19 |
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| 20 | // You should have received a copy of the GNU General Public License and
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| 21 | // a copy of the GCC Runtime Library Exception along with this program;
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| 22 | // see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
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| 23 | // <http://www.gnu.org/licenses/>.
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| 24 |
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| 25 | /** @file parallel/partition.h
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| 26 | * @brief Parallel implementation of std::partition(),
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| 27 | * std::nth_element(), and std::partial_sort().
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| 28 | * This file is a GNU parallel extension to the Standard C++ Library.
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| 29 | */
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| 30 |
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| 31 | // Written by Johannes Singler and Felix Putze.
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| 32 |
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| 33 | #ifndef _GLIBCXX_PARALLEL_PARTITION_H
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| 34 | #define _GLIBCXX_PARALLEL_PARTITION_H 1
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| 35 |
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| 36 | #include <parallel/basic_iterator.h>
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| 37 | #include <parallel/sort.h>
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| 38 | #include <parallel/random_number.h>
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| 39 | #include <bits/stl_algo.h>
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| 40 | #include <parallel/parallel.h>
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| 41 |
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| 42 | /** @brief Decide whether to declare certain variables volatile. */
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| 43 | #define _GLIBCXX_VOLATILE volatile
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| 44 |
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| 45 | namespace __gnu_parallel
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| 46 | {
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| 47 | /** @brief Parallel implementation of std::partition.
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| 48 | * @param __begin Begin iterator of input sequence to split.
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| 49 | * @param __end End iterator of input sequence to split.
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| 50 | * @param __pred Partition predicate, possibly including some kind
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| 51 | * of pivot.
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| 52 | * @param __num_threads Maximum number of threads to use for this task.
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| 53 | * @return Number of elements not fulfilling the predicate. */
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| 54 | template<typename _RAIter, typename _Predicate>
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| 55 | typename std::iterator_traits<_RAIter>::difference_type
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| 56 | __parallel_partition(_RAIter __begin, _RAIter __end,
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| 57 | _Predicate __pred, _ThreadIndex __num_threads)
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| 58 | {
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| 59 | typedef std::iterator_traits<_RAIter> _TraitsType;
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| 60 | typedef typename _TraitsType::value_type _ValueType;
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| 61 | typedef typename _TraitsType::difference_type _DifferenceType;
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| 62 |
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| 63 | _DifferenceType __n = __end - __begin;
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| 64 |
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| 65 | _GLIBCXX_CALL(__n)
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| 66 |
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| 67 | const _Settings& __s = _Settings::get();
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| 68 |
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| 69 | // shared
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| 70 | _GLIBCXX_VOLATILE _DifferenceType __left = 0, __right = __n - 1,
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| 71 | __dist = __n,
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| 72 | __leftover_left, __leftover_right,
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| 73 | __leftnew, __rightnew;
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| 74 |
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| 75 | // just 0 or 1, but int to allow atomic operations
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| 76 | int* __reserved_left = 0, * __reserved_right = 0;
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| 77 |
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| 78 | _DifferenceType __chunk_size = __s.partition_chunk_size;
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| 79 |
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| 80 | //at least two chunks per thread
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| 81 | if (__dist >= 2 * __num_threads * __chunk_size)
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| 82 | # pragma omp parallel num_threads(__num_threads)
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| 83 | {
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| 84 | # pragma omp single
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| 85 | {
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| 86 | __num_threads = omp_get_num_threads();
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| 87 | __reserved_left = new int[__num_threads];
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| 88 | __reserved_right = new int[__num_threads];
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| 89 |
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| 90 | if (__s.partition_chunk_share > 0.0)
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| 91 | __chunk_size = std::max<_DifferenceType>
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| 92 | (__s.partition_chunk_size, (double)__n
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| 93 | * __s.partition_chunk_share / (double)__num_threads);
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| 94 | else
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| 95 | __chunk_size = __s.partition_chunk_size;
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| 96 | }
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| 97 |
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| 98 | while (__dist >= 2 * __num_threads * __chunk_size)
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| 99 | {
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| 100 | # pragma omp single
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| 101 | {
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| 102 | _DifferenceType __num_chunks = __dist / __chunk_size;
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| 103 |
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| 104 | for (_ThreadIndex __r = 0; __r < __num_threads; ++__r)
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| 105 | {
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| 106 | __reserved_left [__r] = 0; // false
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| 107 | __reserved_right[__r] = 0; // false
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| 108 | }
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| 109 | __leftover_left = 0;
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| 110 | __leftover_right = 0;
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| 111 | } //implicit barrier
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| 112 |
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| 113 | // Private.
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| 114 | _DifferenceType __thread_left, __thread_left_border,
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| 115 | __thread_right, __thread_right_border;
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| 116 |
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| 117 | __thread_left = __left + 1;
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| 118 | // Just to satisfy the condition below.
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| 119 | __thread_left_border = __thread_left - 1;
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| 120 |
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| 121 | __thread_right = __n - 1;
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| 122 | // Just to satisfy the condition below.
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| 123 | __thread_right_border = __thread_right + 1;
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| 124 |
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| 125 | bool __iam_finished = false;
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| 126 | while (!__iam_finished)
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| 127 | {
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| 128 | if (__thread_left > __thread_left_border)
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| 129 | {
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| 130 | _DifferenceType __former_dist =
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| 131 | __fetch_and_add(&__dist, -__chunk_size);
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| 132 | if (__former_dist < __chunk_size)
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| 133 | {
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| 134 | __fetch_and_add(&__dist, __chunk_size);
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| 135 | __iam_finished = true;
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| 136 | break;
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| 137 | }
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| 138 | else
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| 139 | {
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| 140 | __thread_left =
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| 141 | __fetch_and_add(&__left, __chunk_size);
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| 142 | __thread_left_border =
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| 143 | __thread_left + (__chunk_size - 1);
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| 144 | }
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| 145 | }
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| 146 |
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| 147 | if (__thread_right < __thread_right_border)
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| 148 | {
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| 149 | _DifferenceType __former_dist =
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| 150 | __fetch_and_add(&__dist, -__chunk_size);
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| 151 | if (__former_dist < __chunk_size)
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| 152 | {
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| 153 | __fetch_and_add(&__dist, __chunk_size);
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| 154 | __iam_finished = true;
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| 155 | break;
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| 156 | }
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| 157 | else
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| 158 | {
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| 159 | __thread_right =
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| 160 | __fetch_and_add(&__right, -__chunk_size);
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| 161 | __thread_right_border =
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| 162 | __thread_right - (__chunk_size - 1);
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| 163 | }
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| 164 | }
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| 165 |
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| 166 | // Swap as usual.
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| 167 | while (__thread_left < __thread_right)
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| 168 | {
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| 169 | while (__pred(__begin[__thread_left])
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| 170 | && __thread_left <= __thread_left_border)
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| 171 | ++__thread_left;
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| 172 | while (!__pred(__begin[__thread_right])
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| 173 | && __thread_right >= __thread_right_border)
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| 174 | --__thread_right;
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| 175 |
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| 176 | if (__thread_left > __thread_left_border
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| 177 | || __thread_right < __thread_right_border)
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| 178 | // Fetch new chunk(__s).
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| 179 | break;
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| 180 |
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| 181 | std::iter_swap(__begin + __thread_left,
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| 182 | __begin + __thread_right);
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| 183 | ++__thread_left;
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| 184 | --__thread_right;
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| 185 | }
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| 186 | }
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| 187 |
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| 188 | // Now swap the leftover chunks to the right places.
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| 189 | if (__thread_left <= __thread_left_border)
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| 190 | # pragma omp atomic
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| 191 | ++__leftover_left;
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| 192 | if (__thread_right >= __thread_right_border)
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| 193 | # pragma omp atomic
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| 194 | ++__leftover_right;
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| 195 |
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| 196 | # pragma omp barrier
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| 197 |
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| 198 | _DifferenceType
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| 199 | __leftold = __left,
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| 200 | __leftnew = __left - __leftover_left * __chunk_size,
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| 201 | __rightold = __right,
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| 202 | __rightnew = __right + __leftover_right * __chunk_size;
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| 203 |
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| 204 | // <=> __thread_left_border + (__chunk_size - 1) >= __leftnew
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| 205 | if (__thread_left <= __thread_left_border
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| 206 | && __thread_left_border >= __leftnew)
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| 207 | {
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| 208 | // Chunk already in place, reserve spot.
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| 209 | __reserved_left[(__left - (__thread_left_border + 1))
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| 210 | / __chunk_size] = 1;
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| 211 | }
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| 212 |
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| 213 | // <=> __thread_right_border - (__chunk_size - 1) <= __rightnew
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| 214 | if (__thread_right >= __thread_right_border
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| 215 | && __thread_right_border <= __rightnew)
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| 216 | {
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| 217 | // Chunk already in place, reserve spot.
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| 218 | __reserved_right[((__thread_right_border - 1) - __right)
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| 219 | / __chunk_size] = 1;
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| 220 | }
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| 221 |
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| 222 | # pragma omp barrier
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| 223 |
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| 224 | if (__thread_left <= __thread_left_border
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| 225 | && __thread_left_border < __leftnew)
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| 226 | {
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| 227 | // Find spot and swap.
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| 228 | _DifferenceType __swapstart = -1;
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| 229 | for (int __r = 0; __r < __leftover_left; ++__r)
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| 230 | if (__reserved_left[__r] == 0
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| 231 | && __compare_and_swap(&(__reserved_left[__r]), 0, 1))
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| 232 | {
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| 233 | __swapstart = __leftold - (__r + 1) * __chunk_size;
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| 234 | break;
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| 235 | }
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| 236 |
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| 237 | #if _GLIBCXX_PARALLEL_ASSERTIONS
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| 238 | _GLIBCXX_PARALLEL_ASSERT(__swapstart != -1);
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| 239 | #endif
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| 240 |
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| 241 | std::swap_ranges(__begin + __thread_left_border
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| 242 | - (__chunk_size - 1),
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| 243 | __begin + __thread_left_border + 1,
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| 244 | __begin + __swapstart);
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| 245 | }
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| 246 |
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| 247 | if (__thread_right >= __thread_right_border
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| 248 | && __thread_right_border > __rightnew)
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| 249 | {
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| 250 | // Find spot and swap
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| 251 | _DifferenceType __swapstart = -1;
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| 252 | for (int __r = 0; __r < __leftover_right; ++__r)
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| 253 | if (__reserved_right[__r] == 0
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| 254 | && __compare_and_swap(&(__reserved_right[__r]), 0, 1))
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| 255 | {
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| 256 | __swapstart = __rightold + __r * __chunk_size + 1;
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| 257 | break;
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| 258 | }
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| 259 |
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| 260 | #if _GLIBCXX_PARALLEL_ASSERTIONS
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| 261 | _GLIBCXX_PARALLEL_ASSERT(__swapstart != -1);
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| 262 | #endif
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| 263 |
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| 264 | std::swap_ranges(__begin + __thread_right_border,
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| 265 | __begin + __thread_right_border
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| 266 | + __chunk_size, __begin + __swapstart);
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| 267 | }
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| 268 | #if _GLIBCXX_PARALLEL_ASSERTIONS
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| 269 | # pragma omp barrier
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| 270 |
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| 271 | # pragma omp single
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| 272 | {
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| 273 | for (_DifferenceType __r = 0; __r < __leftover_left; ++__r)
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| 274 | _GLIBCXX_PARALLEL_ASSERT(__reserved_left[__r] == 1);
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| 275 | for (_DifferenceType __r = 0; __r < __leftover_right; ++__r)
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| 276 | _GLIBCXX_PARALLEL_ASSERT(__reserved_right[__r] == 1);
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| 277 | }
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| 278 | #endif
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| 279 |
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| 280 | __left = __leftnew;
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| 281 | __right = __rightnew;
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| 282 | __dist = __right - __left + 1;
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| 283 | }
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| 284 |
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| 285 | # pragma omp flush(__left, __right)
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| 286 | } // end "recursion" //parallel
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| 287 |
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| 288 | _DifferenceType __final_left = __left, __final_right = __right;
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| 289 |
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| 290 | while (__final_left < __final_right)
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| 291 | {
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| 292 | // Go right until key is geq than pivot.
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| 293 | while (__pred(__begin[__final_left])
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| 294 | && __final_left < __final_right)
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| 295 | ++__final_left;
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| 296 |
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| 297 | // Go left until key is less than pivot.
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| 298 | while (!__pred(__begin[__final_right])
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| 299 | && __final_left < __final_right)
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| 300 | --__final_right;
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| 301 |
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| 302 | if (__final_left == __final_right)
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| 303 | break;
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| 304 | std::iter_swap(__begin + __final_left, __begin + __final_right);
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| 305 | ++__final_left;
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| 306 | --__final_right;
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| 307 | }
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| 308 |
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| 309 | // All elements on the left side are < piv, all elements on the
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| 310 | // right are >= piv
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| 311 | delete[] __reserved_left;
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| 312 | delete[] __reserved_right;
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| 313 |
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| 314 | // Element "between" __final_left and __final_right might not have
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| 315 | // been regarded yet
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| 316 | if (__final_left < __n && !__pred(__begin[__final_left]))
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| 317 | // Really swapped.
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| 318 | return __final_left;
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| 319 | else
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| 320 | return __final_left + 1;
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| 321 | }
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| 322 |
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| 323 | /**
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| 324 | * @brief Parallel implementation of std::nth_element().
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| 325 | * @param __begin Begin iterator of input sequence.
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| 326 | * @param __nth _Iterator of element that must be in position afterwards.
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| 327 | * @param __end End iterator of input sequence.
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| 328 | * @param __comp Comparator.
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| 329 | */
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| 330 | template<typename _RAIter, typename _Compare>
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| 331 | void
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| 332 | __parallel_nth_element(_RAIter __begin, _RAIter __nth,
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| 333 | _RAIter __end, _Compare __comp)
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| 334 | {
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| 335 | typedef std::iterator_traits<_RAIter> _TraitsType;
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| 336 | typedef typename _TraitsType::value_type _ValueType;
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| 337 | typedef typename _TraitsType::difference_type _DifferenceType;
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| 338 |
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| 339 | _GLIBCXX_CALL(__end - __begin)
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| 340 |
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| 341 | _RAIter __split;
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| 342 | _RandomNumber __rng;
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| 343 |
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| 344 | const _Settings& __s = _Settings::get();
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| 345 | _DifferenceType __minimum_length = std::max<_DifferenceType>(2,
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| 346 | std::max(__s.nth_element_minimal_n, __s.partition_minimal_n));
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| 347 |
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| 348 | // Break if input range to small.
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| 349 | while (static_cast<_SequenceIndex>(__end - __begin) >= __minimum_length)
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| 350 | {
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| 351 | _DifferenceType __n = __end - __begin;
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| 352 |
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| 353 | _RAIter __pivot_pos = __begin + __rng(__n);
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| 354 |
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| 355 | // Swap __pivot_pos value to end.
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| 356 | if (__pivot_pos != (__end - 1))
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| 357 | std::iter_swap(__pivot_pos, __end - 1);
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| 358 | __pivot_pos = __end - 1;
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| 359 |
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| 360 | // _Compare must have first_value_type, second_value_type,
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| 361 | // result_type
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| 362 | // _Compare ==
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| 363 | // __gnu_parallel::_Lexicographic<S, int,
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| 364 | // __gnu_parallel::_Less<S, S> >
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| 365 | // __pivot_pos == std::pair<S, int>*
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| 366 | __gnu_parallel::__binder2nd<_Compare, _ValueType, _ValueType, bool>
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| 367 | __pred(__comp, *__pivot_pos);
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| 368 |
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| 369 | // Divide, leave pivot unchanged in last place.
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| 370 | _RAIter __split_pos1, __split_pos2;
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| 371 | __split_pos1 = __begin + __parallel_partition(__begin, __end - 1,
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| 372 | __pred,
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| 373 | __get_max_threads());
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| 374 |
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| 375 | // Left side: < __pivot_pos; __right side: >= __pivot_pos
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| 376 |
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| 377 | // Swap pivot back to middle.
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| 378 | if (__split_pos1 != __pivot_pos)
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| 379 | std::iter_swap(__split_pos1, __pivot_pos);
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| 380 | __pivot_pos = __split_pos1;
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| 381 |
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| 382 | // In case all elements are equal, __split_pos1 == 0
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| 383 | if ((__split_pos1 + 1 - __begin) < (__n >> 7)
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| 384 | || (__end - __split_pos1) < (__n >> 7))
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| 385 | {
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| 386 | // Very unequal split, one part smaller than one 128th
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| 387 | // elements not strictly larger than the pivot.
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| 388 | __gnu_parallel::__unary_negate<__gnu_parallel::
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| 389 | __binder1st<_Compare, _ValueType,
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| 390 | _ValueType, bool>, _ValueType>
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| 391 | __pred(__gnu_parallel::__binder1st<_Compare, _ValueType,
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| 392 | _ValueType, bool>(__comp, *__pivot_pos));
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| 393 |
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| 394 | // Find other end of pivot-equal range.
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| 395 | __split_pos2 = __gnu_sequential::partition(__split_pos1 + 1,
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| 396 | __end, __pred);
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| 397 | }
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| 398 | else
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| 399 | // Only skip the pivot.
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| 400 | __split_pos2 = __split_pos1 + 1;
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| 401 |
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| 402 | // Compare iterators.
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| 403 | if (__split_pos2 <= __nth)
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| 404 | __begin = __split_pos2;
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| 405 | else if (__nth < __split_pos1)
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| 406 | __end = __split_pos1;
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| 407 | else
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| 408 | break;
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| 409 | }
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| 410 |
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| 411 | // Only at most _Settings::partition_minimal_n __elements __left.
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| 412 | __gnu_sequential::nth_element(__begin, __nth, __end, __comp);
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| 413 | }
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| 414 |
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| 415 | /** @brief Parallel implementation of std::partial_sort().
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| 416 | * @param __begin Begin iterator of input sequence.
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| 417 | * @param __middle Sort until this position.
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| 418 | * @param __end End iterator of input sequence.
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| 419 | * @param __comp Comparator. */
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| 420 | template<typename _RAIter, typename _Compare>
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| 421 | void
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| 422 | __parallel_partial_sort(_RAIter __begin,
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| 423 | _RAIter __middle,
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| 424 | _RAIter __end, _Compare __comp)
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| 425 | {
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| 426 | __parallel_nth_element(__begin, __middle, __end, __comp);
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| 427 | std::sort(__begin, __middle, __comp);
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| 428 | }
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| 429 |
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| 430 | } //namespace __gnu_parallel
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| 431 |
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| 432 | #undef _GLIBCXX_VOLATILE
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| 433 |
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| 434 | #endif /* _GLIBCXX_PARALLEL_PARTITION_H */
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