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+// -*- 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/random_shuffle.h
+ * @brief Parallel implementation of std::random_shuffle().
+ * This file is a GNU parallel extension to the Standard C++ Library.
+ */
+
+// Written by Johannes Singler.
+
+#ifndef _GLIBCXX_PARALLEL_RANDOM_SHUFFLE_H
+#define _GLIBCXX_PARALLEL_RANDOM_SHUFFLE_H 1
+
+#include <limits>
+#include <bits/stl_numeric.h>
+#include <parallel/parallel.h>
+#include <parallel/random_number.h>
+
+namespace __gnu_parallel
+{
+/** @brief Type to hold the index of a bin.
+ *
+ * Since many variables of this type are allocated, it should be
+ * chosen as small as possible.
+ */
+typedef unsigned short bin_index;
+
+/** @brief Data known to every thread participating in
+ __gnu_parallel::parallel_random_shuffle(). */
+template<typename RandomAccessIterator>
+ struct DRandomShufflingGlobalData
+ {
+ typedef std::iterator_traits<RandomAccessIterator> traits_type;
+ typedef typename traits_type::value_type value_type;
+ typedef typename traits_type::difference_type difference_type;
+
+ /** @brief Begin iterator of the source. */
+ RandomAccessIterator& source;
+
+ /** @brief Temporary arrays for each thread. */
+ value_type** temporaries;
+
+ /** @brief Two-dimensional array to hold the thread-bin distribution.
+ *
+ * Dimensions (num_threads + 1) x (num_bins + 1). */
+ difference_type** dist;
+
+ /** @brief Start indexes of the threads' chunks. */
+ difference_type* starts;
+
+ /** @brief Number of the thread that will further process the
+ corresponding bin. */
+ thread_index_t* bin_proc;
+
+ /** @brief Number of bins to distribute to. */
+ int num_bins;
+
+ /** @brief Number of bits needed to address the bins. */
+ int num_bits;
+
+ /** @brief Constructor. */
+ DRandomShufflingGlobalData(RandomAccessIterator& _source)
+ : source(_source) { }
+ };
+
+/** @brief Local data for a thread participating in
+ __gnu_parallel::parallel_random_shuffle().
+ */
+template<typename RandomAccessIterator, typename RandomNumberGenerator>
+ struct DRSSorterPU
+ {
+ /** @brief Number of threads participating in total. */
+ int num_threads;
+
+ /** @brief Begin index for bins taken care of by this thread. */
+ bin_index bins_begin;
+
+ /** @brief End index for bins taken care of by this thread. */
+ bin_index bins_end;
+
+ /** @brief Random seed for this thread. */
+ uint32 seed;
+
+ /** @brief Pointer to global data. */
+ DRandomShufflingGlobalData<RandomAccessIterator>* sd;
+ };
+
+/** @brief Generate a random number in @c [0,2^logp).
+ * @param logp Logarithm (basis 2) of the upper range bound.
+ * @param rng Random number generator to use.
+ */
+template<typename RandomNumberGenerator>
+ inline int
+ random_number_pow2(int logp, RandomNumberGenerator& rng)
+ { return rng.genrand_bits(logp); }
+
+/** @brief Random shuffle code executed by each thread.
+ * @param pus Array of thread-local data records. */
+template<typename RandomAccessIterator, typename RandomNumberGenerator>
+ void
+ parallel_random_shuffle_drs_pu(DRSSorterPU<RandomAccessIterator,
+ RandomNumberGenerator>* pus)
+ {
+ typedef std::iterator_traits<RandomAccessIterator> traits_type;
+ typedef typename traits_type::value_type value_type;
+ typedef typename traits_type::difference_type difference_type;
+
+ thread_index_t iam = omp_get_thread_num();
+ DRSSorterPU<RandomAccessIterator, RandomNumberGenerator>* d = &pus[iam];
+ DRandomShufflingGlobalData<RandomAccessIterator>* sd = d->sd;
+
+ // Indexing: dist[bin][processor]
+ difference_type length = sd->starts[iam + 1] - sd->starts[iam];
+ bin_index* oracles = new bin_index[length];
+ difference_type* dist = new difference_type[sd->num_bins + 1];
+ bin_index* bin_proc = new bin_index[sd->num_bins];
+ value_type** temporaries = new value_type*[d->num_threads];
+
+ // Compute oracles and count appearances.
+ for (bin_index b = 0; b < sd->num_bins + 1; ++b)
+ dist[b] = 0;
+ int num_bits = sd->num_bits;
+
+ random_number rng(d->seed);
+
+ // First main loop.
+ for (difference_type i = 0; i < length; ++i)
+ {
+ bin_index oracle = random_number_pow2(num_bits, rng);
+ oracles[i] = oracle;
+
+ // To allow prefix (partial) sum.
+ ++(dist[oracle + 1]);
+ }
+
+ for (bin_index b = 0; b < sd->num_bins + 1; ++b)
+ sd->dist[b][iam + 1] = dist[b];
+
+# pragma omp barrier
+
+# pragma omp single
+ {
+ // Sum up bins, sd->dist[s + 1][d->num_threads] now contains the
+ // total number of items in bin s
+ for (bin_index s = 0; s < sd->num_bins; ++s)
+ __gnu_sequential::partial_sum(sd->dist[s + 1],
+ sd->dist[s + 1] + d->num_threads + 1,
+ sd->dist[s + 1]);
+ }
+
+# pragma omp barrier
+
+ sequence_index_t offset = 0, global_offset = 0;
+ for (bin_index s = 0; s < d->bins_begin; ++s)
+ global_offset += sd->dist[s + 1][d->num_threads];
+
+# pragma omp barrier
+
+ for (bin_index s = d->bins_begin; s < d->bins_end; ++s)
+ {
+ for (int t = 0; t < d->num_threads + 1; ++t)
+ sd->dist[s + 1][t] += offset;
+ offset = sd->dist[s + 1][d->num_threads];
+ }
+
+ sd->temporaries[iam] = static_cast<value_type*>(
+ ::operator new(sizeof(value_type) * offset));
+
+# pragma omp barrier
+
+ // Draw local copies to avoid false sharing.
+ for (bin_index b = 0; b < sd->num_bins + 1; ++b)
+ dist[b] = sd->dist[b][iam];
+ for (bin_index b = 0; b < sd->num_bins; ++b)
+ bin_proc[b] = sd->bin_proc[b];
+ for (thread_index_t t = 0; t < d->num_threads; ++t)
+ temporaries[t] = sd->temporaries[t];
+
+ RandomAccessIterator source = sd->source;
+ difference_type start = sd->starts[iam];
+
+ // Distribute according to oracles, second main loop.
+ for (difference_type i = 0; i < length; ++i)
+ {
+ bin_index target_bin = oracles[i];
+ thread_index_t target_p = bin_proc[target_bin];
+
+ // Last column [d->num_threads] stays unchanged.
+ ::new(&(temporaries[target_p][dist[target_bin + 1]++]))
+ value_type(*(source + i + start));
+ }
+
+ delete[] oracles;
+ delete[] dist;
+ delete[] bin_proc;
+ delete[] temporaries;
+
+# pragma omp barrier
+
+ // Shuffle bins internally.
+ for (bin_index b = d->bins_begin; b < d->bins_end; ++b)
+ {
+ value_type* begin =
+ sd->temporaries[iam] +
+ ((b == d->bins_begin) ? 0 : sd->dist[b][d->num_threads]),
+ * end =
+ sd->temporaries[iam] + sd->dist[b + 1][d->num_threads];
+ sequential_random_shuffle(begin, end, rng);
+ std::copy(begin, end, sd->source + global_offset +
+ ((b == d->bins_begin) ? 0 : sd->dist[b][d->num_threads]));
+ }
+
+ ::operator delete(sd->temporaries[iam]);
+ }
+
+/** @brief Round up to the next greater power of 2.
+ * @param x Integer to round up */
+template<typename T>
+ T
+ round_up_to_pow2(T x)
+ {
+ if (x <= 1)
+ return 1;
+ else
+ return (T)1 << (__log2(x - 1) + 1);
+ }
+
+/** @brief Main parallel random shuffle step.
+ * @param begin Begin iterator of sequence.
+ * @param end End iterator of sequence.
+ * @param n Length of sequence.
+ * @param num_threads Number of threads to use.
+ * @param rng Random number generator to use.
+ */
+template<typename RandomAccessIterator, typename RandomNumberGenerator>
+ void
+ parallel_random_shuffle_drs(RandomAccessIterator begin,
+ RandomAccessIterator end,
+ typename std::iterator_traits
+ <RandomAccessIterator>::difference_type n,
+ thread_index_t num_threads,
+ RandomNumberGenerator& rng)
+ {
+ typedef std::iterator_traits<RandomAccessIterator> traits_type;
+ typedef typename traits_type::value_type value_type;
+ typedef typename traits_type::difference_type difference_type;
+
+ _GLIBCXX_CALL(n)
+
+ const _Settings& __s = _Settings::get();
+
+ if (num_threads > n)
+ num_threads = static_cast<thread_index_t>(n);
+
+ bin_index num_bins, num_bins_cache;
+
+#if _GLIBCXX_RANDOM_SHUFFLE_CONSIDER_L1
+ // Try the L1 cache first.
+
+ // Must fit into L1.
+ num_bins_cache = std::max<difference_type>(
+ 1, n / (__s.L1_cache_size_lb / sizeof(value_type)));
+ num_bins_cache = round_up_to_pow2(num_bins_cache);
+
+ // No more buckets than TLB entries, power of 2
+ // Power of 2 and at least one element per bin, at most the TLB size.
+ num_bins = std::min<difference_type>(n, num_bins_cache);
+
+#if _GLIBCXX_RANDOM_SHUFFLE_CONSIDER_TLB
+ // 2 TLB entries needed per bin.
+ num_bins = std::min<difference_type>(__s.TLB_size / 2, num_bins);
+#endif
+ num_bins = round_up_to_pow2(num_bins);
+
+ if (num_bins < num_bins_cache)
+ {
+#endif
+ // Now try the L2 cache
+ // Must fit into L2
+ num_bins_cache = static_cast<bin_index>(std::max<difference_type>(
+ 1, n / (__s.L2_cache_size / sizeof(value_type))));
+ num_bins_cache = round_up_to_pow2(num_bins_cache);
+
+ // No more buckets than TLB entries, power of 2.
+ num_bins = static_cast<bin_index>(
+ std::min(n, static_cast<difference_type>(num_bins_cache)));
+ // Power of 2 and at least one element per bin, at most the TLB size.
+#if _GLIBCXX_RANDOM_SHUFFLE_CONSIDER_TLB
+ // 2 TLB entries needed per bin.
+ num_bins = std::min(
+ static_cast<difference_type>(__s.TLB_size / 2), num_bins);
+#endif
+ num_bins = round_up_to_pow2(num_bins);
+#if _GLIBCXX_RANDOM_SHUFFLE_CONSIDER_L1
+ }
+#endif
+
+ num_threads = std::min<bin_index>(num_threads, num_bins);
+
+ if (num_threads <= 1)
+ return sequential_random_shuffle(begin, end, rng);
+
+ DRandomShufflingGlobalData<RandomAccessIterator> sd(begin);
+ DRSSorterPU<RandomAccessIterator, random_number >* pus;
+ difference_type* starts;
+
+# pragma omp parallel num_threads(num_threads)
+ {
+ thread_index_t num_threads = omp_get_num_threads();
+# pragma omp single
+ {
+ pus = new DRSSorterPU<RandomAccessIterator, random_number>
+ [num_threads];
+
+ sd.temporaries = new value_type*[num_threads];
+ sd.dist = new difference_type*[num_bins + 1];
+ sd.bin_proc = new thread_index_t[num_bins];
+ for (bin_index b = 0; b < num_bins + 1; ++b)
+ sd.dist[b] = new difference_type[num_threads + 1];
+ for (bin_index b = 0; b < (num_bins + 1); ++b)
+ {
+ sd.dist[0][0] = 0;
+ sd.dist[b][0] = 0;
+ }
+ starts = sd.starts = new difference_type[num_threads + 1];
+ int bin_cursor = 0;
+ sd.num_bins = num_bins;
+ sd.num_bits = __log2(num_bins);
+
+ difference_type chunk_length = n / num_threads,
+ split = n % num_threads, start = 0;
+ difference_type bin_chunk_length = num_bins / num_threads,
+ bin_split = num_bins % num_threads;
+ for (thread_index_t i = 0; i < num_threads; ++i)
+ {
+ starts[i] = start;
+ start += (i < split) ? (chunk_length + 1) : chunk_length;
+ int j = pus[i].bins_begin = bin_cursor;
+
+ // Range of bins for this processor.
+ bin_cursor += (i < bin_split) ?
+ (bin_chunk_length + 1) : bin_chunk_length;
+ pus[i].bins_end = bin_cursor;
+ for (; j < bin_cursor; ++j)
+ sd.bin_proc[j] = i;
+ pus[i].num_threads = num_threads;
+ pus[i].seed = rng(std::numeric_limits<uint32>::max());
+ pus[i].sd = &sd;
+ }
+ starts[num_threads] = start;
+ } //single
+ // Now shuffle in parallel.
+ parallel_random_shuffle_drs_pu(pus);
+ } // parallel
+
+ delete[] starts;
+ delete[] sd.bin_proc;
+ for (int s = 0; s < (num_bins + 1); ++s)
+ delete[] sd.dist[s];
+ delete[] sd.dist;
+ delete[] sd.temporaries;
+
+ delete[] pus;
+ }
+
+/** @brief Sequential cache-efficient random shuffle.
+ * @param begin Begin iterator of sequence.
+ * @param end End iterator of sequence.
+ * @param rng Random number generator to use.
+ */
+template<typename RandomAccessIterator, typename RandomNumberGenerator>
+ void
+ sequential_random_shuffle(RandomAccessIterator begin,
+ RandomAccessIterator end,
+ RandomNumberGenerator& rng)
+ {
+ 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;
+ const _Settings& __s = _Settings::get();
+
+ bin_index num_bins, num_bins_cache;
+
+#if _GLIBCXX_RANDOM_SHUFFLE_CONSIDER_L1
+ // Try the L1 cache first, must fit into L1.
+ num_bins_cache =
+ std::max<difference_type>
+ (1, n / (__s.L1_cache_size_lb / sizeof(value_type)));
+ num_bins_cache = round_up_to_pow2(num_bins_cache);
+
+ // No more buckets than TLB entries, power of 2
+ // Power of 2 and at least one element per bin, at most the TLB size
+ num_bins = std::min(n, (difference_type)num_bins_cache);
+#if _GLIBCXX_RANDOM_SHUFFLE_CONSIDER_TLB
+ // 2 TLB entries needed per bin
+ num_bins = std::min((difference_type)__s.TLB_size / 2, num_bins);
+#endif
+ num_bins = round_up_to_pow2(num_bins);
+
+ if (num_bins < num_bins_cache)
+ {
+#endif
+ // Now try the L2 cache, must fit into L2.
+ num_bins_cache =
+ static_cast<bin_index>(std::max<difference_type>(
+ 1, n / (__s.L2_cache_size / sizeof(value_type))));
+ num_bins_cache = round_up_to_pow2(num_bins_cache);
+
+ // No more buckets than TLB entries, power of 2
+ // Power of 2 and at least one element per bin, at most the TLB size.
+ num_bins = static_cast<bin_index>
+ (std::min(n, static_cast<difference_type>(num_bins_cache)));
+
+#if _GLIBCXX_RANDOM_SHUFFLE_CONSIDER_TLB
+ // 2 TLB entries needed per bin
+ num_bins =
+ std::min<difference_type>(__s.TLB_size / 2, num_bins);
+#endif
+ num_bins = round_up_to_pow2(num_bins);
+#if _GLIBCXX_RANDOM_SHUFFLE_CONSIDER_L1
+ }
+#endif
+
+ int num_bits = __log2(num_bins);
+
+ if (num_bins > 1)
+ {
+ value_type* target = static_cast<value_type*>(
+ ::operator new(sizeof(value_type) * n));
+ bin_index* oracles = new bin_index[n];
+ difference_type* dist0 = new difference_type[num_bins + 1],
+ * dist1 = new difference_type[num_bins + 1];
+
+ for (int b = 0; b < num_bins + 1; ++b)
+ dist0[b] = 0;
+
+ random_number bitrng(rng(0xFFFFFFFF));
+
+ for (difference_type i = 0; i < n; ++i)
+ {
+ bin_index oracle = random_number_pow2(num_bits, bitrng);
+ oracles[i] = oracle;
+
+ // To allow prefix (partial) sum.
+ ++(dist0[oracle + 1]);
+ }
+
+ // Sum up bins.
+ __gnu_sequential::partial_sum(dist0, dist0 + num_bins + 1, dist0);
+
+ for (int b = 0; b < num_bins + 1; ++b)
+ dist1[b] = dist0[b];
+
+ // Distribute according to oracles.
+ for (difference_type i = 0; i < n; ++i)
+ ::new(&(target[(dist0[oracles[i]])++])) value_type(*(begin + i));
+
+ for (int b = 0; b < num_bins; ++b)
+ {
+ sequential_random_shuffle(target + dist1[b],
+ target + dist1[b + 1],
+ rng);
+ }
+
+ // Copy elements back.
+ std::copy(target, target + n, begin);
+
+ delete[] dist0;
+ delete[] dist1;
+ delete[] oracles;
+ ::operator delete(target);
+ }
+ else
+ __gnu_sequential::random_shuffle(begin, end, rng);
+ }
+
+/** @brief Parallel random public call.
+ * @param begin Begin iterator of sequence.
+ * @param end End iterator of sequence.
+ * @param rng Random number generator to use.
+ */
+template<typename RandomAccessIterator, typename RandomNumberGenerator>
+ inline void
+ parallel_random_shuffle(RandomAccessIterator begin,
+ RandomAccessIterator end,
+ RandomNumberGenerator rng = random_number())
+ {
+ typedef std::iterator_traits<RandomAccessIterator> traits_type;
+ typedef typename traits_type::difference_type difference_type;
+ difference_type n = end - begin;
+ parallel_random_shuffle_drs(begin, end, n, get_max_threads(), rng) ;
+ }
+
+}
+
+#endif /* _GLIBCXX_PARALLEL_RANDOM_SHUFFLE_H */