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partition.h
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quicksort.h
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/usr/include/c++/4.4.4/parallel/balanced_quicksort.h
(16157B)
// -*- C++ -*- // Copyright (C) 2007, 2008, 2009 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/balanced_quicksort.h * @brief Implementation of a dynamically load-balanced parallel quicksort. * * It works in-place and needs only logarithmic extra memory. * The algorithm is similar to the one proposed in * * P. Tsigas and Y. Zhang. * A simple, fast parallel implementation of quicksort and * its performance evaluation on SUN enterprise 10000. * In 11th Euromicro Conference on Parallel, Distributed and * Network-Based Processing, page 372, 2003. * * This file is a GNU parallel extension to the Standard C++ Library. */ // Written by Johannes Singler. #ifndef _GLIBCXX_PARALLEL_BALANCED_QUICKSORT_H #define _GLIBCXX_PARALLEL_BALANCED_QUICKSORT_H 1 #include <parallel/basic_iterator.h> #include <bits/stl_algo.h> #include <parallel/settings.h> #include <parallel/partition.h> #include <parallel/random_number.h> #include <parallel/queue.h> #include <functional> #if _GLIBCXX_ASSERTIONS #include <parallel/checkers.h> #endif namespace __gnu_parallel { /** @brief Information local to one thread in the parallel quicksort run. */ template<typename RandomAccessIterator> struct QSBThreadLocal { typedef std::iterator_traits<RandomAccessIterator> traits_type; typedef typename traits_type::difference_type difference_type; /** @brief Continuous part of the sequence, described by an iterator pair. */ typedef std::pair<RandomAccessIterator, RandomAccessIterator> Piece; /** @brief Initial piece to work on. */ Piece initial; /** @brief Work-stealing queue. */ RestrictedBoundedConcurrentQueue<Piece> leftover_parts; /** @brief Number of threads involved in this algorithm. */ thread_index_t num_threads; /** @brief Pointer to a counter of elements left over to sort. */ volatile difference_type* elements_leftover; /** @brief The complete sequence to sort. */ Piece global; /** @brief Constructor. * @param queue_size Size of the work-stealing queue. */ QSBThreadLocal(int queue_size) : leftover_parts(queue_size) { } }; /** @brief Balanced quicksort divide step. * @param begin Begin iterator of subsequence. * @param end End iterator of subsequence. * @param comp Comparator. * @param num_threads Number of threads that are allowed to work on * this part. * @pre @c (end-begin)>=1 */ template<typename RandomAccessIterator, typename Comparator> typename std::iterator_traits<RandomAccessIterator>::difference_type qsb_divide(RandomAccessIterator begin, RandomAccessIterator end, Comparator comp, thread_index_t num_threads) { _GLIBCXX_PARALLEL_ASSERT(num_threads > 0); typedef std::iterator_traits<RandomAccessIterator> traits_type; typedef typename traits_type::value_type value_type; typedef typename traits_type::difference_type difference_type; RandomAccessIterator pivot_pos = median_of_three_iterators(begin, begin + (end - begin) / 2, end - 1, comp); #if defined(_GLIBCXX_ASSERTIONS) // Must be in between somewhere. difference_type n = end - begin; _GLIBCXX_PARALLEL_ASSERT( (!comp(*pivot_pos, *begin) && !comp(*(begin + n / 2), *pivot_pos)) || (!comp(*pivot_pos, *begin) && !comp(*(end - 1), *pivot_pos)) || (!comp(*pivot_pos, *(begin + n / 2)) && !comp(*begin, *pivot_pos)) || (!comp(*pivot_pos, *(begin + n / 2)) && !comp(*(end - 1), *pivot_pos)) || (!comp(*pivot_pos, *(end - 1)) && !comp(*begin, *pivot_pos)) || (!comp(*pivot_pos, *(end - 1)) && !comp(*(begin + n / 2), *pivot_pos))); #endif // Swap pivot value to end. if (pivot_pos != (end - 1)) std::swap(*pivot_pos, *(end - 1)); pivot_pos = end - 1; __gnu_parallel::binder2nd<Comparator, value_type, value_type, bool> pred(comp, *pivot_pos); // Divide, returning end - begin - 1 in the worst case. difference_type split_pos = parallel_partition( begin, end - 1, pred, num_threads); // Swap back pivot to middle. std::swap(*(begin + split_pos), *pivot_pos); pivot_pos = begin + split_pos; #if _GLIBCXX_ASSERTIONS RandomAccessIterator r; for (r = begin; r != pivot_pos; ++r) _GLIBCXX_PARALLEL_ASSERT(comp(*r, *pivot_pos)); for (; r != end; ++r) _GLIBCXX_PARALLEL_ASSERT(!comp(*r, *pivot_pos)); #endif return split_pos; } /** @brief Quicksort conquer step. * @param tls Array of thread-local storages. * @param begin Begin iterator of subsequence. * @param end End iterator of subsequence. * @param comp Comparator. * @param iam Number of the thread processing this function. * @param num_threads * Number of threads that are allowed to work on this part. */ template<typename RandomAccessIterator, typename Comparator> void qsb_conquer(QSBThreadLocal<RandomAccessIterator>** tls, RandomAccessIterator begin, RandomAccessIterator end, Comparator comp, thread_index_t iam, thread_index_t num_threads, bool parent_wait) { typedef std::iterator_traits<RandomAccessIterator> traits_type; typedef typename traits_type::value_type value_type; typedef typename traits_type::difference_type difference_type; difference_type n = end - begin; if (num_threads <= 1 || n <= 1) { tls[iam]->initial.first = begin; tls[iam]->initial.second = end; qsb_local_sort_with_helping(tls, comp, iam, parent_wait); return; } // Divide step. difference_type split_pos = qsb_divide(begin, end, comp, num_threads); #if _GLIBCXX_ASSERTIONS _GLIBCXX_PARALLEL_ASSERT(0 <= split_pos && split_pos < (end - begin)); #endif thread_index_t num_threads_leftside = std::max<thread_index_t>(1, std::min<thread_index_t>( num_threads - 1, split_pos * num_threads / n)); # pragma omp atomic *tls[iam]->elements_leftover -= (difference_type)1; // Conquer step. # pragma omp parallel num_threads(2) { bool wait; if(omp_get_num_threads() < 2) wait = false; else wait = parent_wait; # pragma omp sections { # pragma omp section { qsb_conquer(tls, begin, begin + split_pos, comp, iam, num_threads_leftside, wait); wait = parent_wait; } // The pivot_pos is left in place, to ensure termination. # pragma omp section { qsb_conquer(tls, begin + split_pos + 1, end, comp, iam + num_threads_leftside, num_threads - num_threads_leftside, wait); wait = parent_wait; } } } } /** * @brief Quicksort step doing load-balanced local sort. * @param tls Array of thread-local storages. * @param comp Comparator. * @param iam Number of the thread processing this function. */ template<typename RandomAccessIterator, typename Comparator> void qsb_local_sort_with_helping(QSBThreadLocal<RandomAccessIterator>** tls, Comparator& comp, int iam, bool wait) { typedef std::iterator_traits<RandomAccessIterator> traits_type; typedef typename traits_type::value_type value_type; typedef typename traits_type::difference_type difference_type; typedef std::pair<RandomAccessIterator, RandomAccessIterator> Piece; QSBThreadLocal<RandomAccessIterator>& tl = *tls[iam]; difference_type base_case_n = _Settings::get().sort_qsb_base_case_maximal_n; if (base_case_n < 2) base_case_n = 2; thread_index_t num_threads = tl.num_threads; // Every thread has its own random number generator. random_number rng(iam + 1); Piece current = tl.initial; difference_type elements_done = 0; #if _GLIBCXX_ASSERTIONS difference_type total_elements_done = 0; #endif for (;;) { // Invariant: current must be a valid (maybe empty) range. RandomAccessIterator begin = current.first, end = current.second; difference_type n = end - begin; if (n > base_case_n) { // Divide. RandomAccessIterator pivot_pos = begin + rng(n); // Swap pivot_pos value to end. if (pivot_pos != (end - 1)) std::swap(*pivot_pos, *(end - 1)); pivot_pos = end - 1; __gnu_parallel::binder2nd <Comparator, value_type, value_type, bool> pred(comp, *pivot_pos); // Divide, leave pivot unchanged in last place. RandomAccessIterator split_pos1, split_pos2; split_pos1 = __gnu_sequential::partition(begin, end - 1, pred); // Left side: < pivot_pos; right side: >= pivot_pos. #if _GLIBCXX_ASSERTIONS _GLIBCXX_PARALLEL_ASSERT(begin <= split_pos1 && split_pos1 < end); #endif // Swap pivot back to middle. if (split_pos1 != pivot_pos) std::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 <Comparator, value_type, value_type, bool>, value_type> pred(__gnu_parallel::binder1st <Comparator, value_type, value_type, 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; // Elements equal to pivot are done. elements_done += (split_pos2 - split_pos1); #if _GLIBCXX_ASSERTIONS total_elements_done += (split_pos2 - split_pos1); #endif // Always push larger part onto stack. if (((split_pos1 + 1) - begin) < (end - (split_pos2))) { // Right side larger. if ((split_pos2) != end) tl.leftover_parts.push_front(std::make_pair(split_pos2, end)); //current.first = begin; //already set anyway current.second = split_pos1; continue; } else { // Left side larger. if (begin != split_pos1) tl.leftover_parts.push_front(std::make_pair(begin, split_pos1)); current.first = split_pos2; //current.second = end; //already set anyway continue; } } else { __gnu_sequential::sort(begin, end, comp); elements_done += n; #if _GLIBCXX_ASSERTIONS total_elements_done += n; #endif // Prefer own stack, small pieces. if (tl.leftover_parts.pop_front(current)) continue; # pragma omp atomic *tl.elements_leftover -= elements_done; elements_done = 0; #if _GLIBCXX_ASSERTIONS double search_start = omp_get_wtime(); #endif // Look for new work. bool successfully_stolen = false; while (wait && *tl.elements_leftover > 0 && !successfully_stolen #if _GLIBCXX_ASSERTIONS // Possible dead-lock. && (omp_get_wtime() < (search_start + 1.0)) #endif ) { thread_index_t victim; victim = rng(num_threads); // Large pieces. successfully_stolen = (victim != iam) && tls[victim]->leftover_parts.pop_back(current); if (!successfully_stolen) yield(); #if !defined(__ICC) && !defined(__ECC) # pragma omp flush #endif } #if _GLIBCXX_ASSERTIONS if (omp_get_wtime() >= (search_start + 1.0)) { sleep(1); _GLIBCXX_PARALLEL_ASSERT(omp_get_wtime() < (search_start + 1.0)); } #endif if (!successfully_stolen) { #if _GLIBCXX_ASSERTIONS _GLIBCXX_PARALLEL_ASSERT(*tl.elements_leftover == 0); #endif return; } } } } /** @brief Top-level quicksort routine. * @param begin Begin iterator of sequence. * @param end End iterator of sequence. * @param comp Comparator. * @param num_threads Number of threads that are allowed to work on * this part. */ template<typename RandomAccessIterator, typename Comparator> void parallel_sort_qsb(RandomAccessIterator begin, RandomAccessIterator end, Comparator comp, thread_index_t num_threads) { _GLIBCXX_CALL(end - begin) typedef std::iterator_traits<RandomAccessIterator> traits_type; typedef typename traits_type::value_type value_type; typedef typename traits_type::difference_type difference_type; typedef std::pair<RandomAccessIterator, RandomAccessIterator> Piece; typedef QSBThreadLocal<RandomAccessIterator> tls_type; difference_type n = end - begin; if (n <= 1) return; // At least one element per processor. if (num_threads > n) num_threads = static_cast<thread_index_t>(n); // Initialize thread local storage tls_type** tls = new tls_type*[num_threads]; difference_type queue_size = num_threads * (thread_index_t)(log2(n) + 1); for (thread_index_t t = 0; t < num_threads; ++t) tls[t] = new QSBThreadLocal<RandomAccessIterator>(queue_size); // There can never be more than ceil(log2(n)) ranges on the stack, because // 1. Only one processor pushes onto the stack // 2. The largest range has at most length n // 3. Each range is larger than half of the range remaining volatile difference_type elements_leftover = n; for (int i = 0; i < num_threads; ++i) { tls[i]->elements_leftover = &elements_leftover; tls[i]->num_threads = num_threads; tls[i]->global = std::make_pair(begin, end); // Just in case nothing is left to assign. tls[i]->initial = std::make_pair(end, end); } // Main recursion call. qsb_conquer(tls, begin, begin + n, comp, 0, num_threads, true); #if _GLIBCXX_ASSERTIONS // All stack must be empty. Piece dummy; for (int i = 1; i < num_threads; ++i) _GLIBCXX_PARALLEL_ASSERT(!tls[i]->leftover_parts.pop_back(dummy)); #endif for (int i = 0; i < num_threads; ++i) delete tls[i]; delete[] tls; } } // namespace __gnu_parallel #endif /* _GLIBCXX_PARALLEL_BALANCED_QUICKSORT_H */
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