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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