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+// -*- C++ -*-
+
+// Copyright (C) 2007, 2008, 2009, 2010 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/multiway_mergesort.h
+ * @brief Parallel multiway merge sort.
+ * This file is a GNU parallel extension to the Standard C++ Library.
+ */
+
+// Written by Johannes Singler.
+
+#ifndef _GLIBCXX_PARALLEL_MULTIWAY_MERGESORT_H
+#define _GLIBCXX_PARALLEL_MULTIWAY_MERGESORT_H 1
+
+#include <vector>
+
+#include <parallel/basic_iterator.h>
+#include <bits/stl_algo.h>
+#include <parallel/parallel.h>
+#include <parallel/multiway_merge.h>
+
+namespace __gnu_parallel
+{
+ /** @brief Subsequence description. */
+ template<typename _DifferenceTp>
+ struct _Piece
+ {
+ typedef _DifferenceTp _DifferenceType;
+
+ /** @brief Begin of subsequence. */
+ _DifferenceType _M_begin;
+
+ /** @brief End of subsequence. */
+ _DifferenceType _M_end;
+ };
+
+ /** @brief Data accessed by all threads.
+ *
+ * PMWMS = parallel multiway mergesort */
+ template<typename _RAIter>
+ struct _PMWMSSortingData
+ {
+ typedef std::iterator_traits<_RAIter> _TraitsType;
+ typedef typename _TraitsType::value_type _ValueType;
+ typedef typename _TraitsType::difference_type _DifferenceType;
+
+ /** @brief Number of threads involved. */
+ _ThreadIndex _M_num_threads;
+
+ /** @brief Input __begin. */
+ _RAIter _M_source;
+
+ /** @brief Start indices, per thread. */
+ _DifferenceType* _M_starts;
+
+ /** @brief Storage in which to sort. */
+ _ValueType** _M_temporary;
+
+ /** @brief Samples. */
+ _ValueType* _M_samples;
+
+ /** @brief Offsets to add to the found positions. */
+ _DifferenceType* _M_offsets;
+
+ /** @brief Pieces of data to merge @c [thread][__sequence] */
+ std::vector<_Piece<_DifferenceType> >* _M_pieces;
+ };
+
+ /**
+ * @brief Select _M_samples from a sequence.
+ * @param __sd Pointer to algorithm data. _Result will be placed in
+ * @c __sd->_M_samples.
+ * @param __num_samples Number of _M_samples to select.
+ */
+ template<typename _RAIter, typename _DifferenceTp>
+ void
+ __determine_samples(_PMWMSSortingData<_RAIter>* __sd,
+ _DifferenceTp __num_samples)
+ {
+ typedef std::iterator_traits<_RAIter> _TraitsType;
+ typedef typename _TraitsType::value_type _ValueType;
+ typedef _DifferenceTp _DifferenceType;
+
+ _ThreadIndex __iam = omp_get_thread_num();
+
+ _DifferenceType* __es = new _DifferenceType[__num_samples + 2];
+
+ equally_split(__sd->_M_starts[__iam + 1] - __sd->_M_starts[__iam],
+ __num_samples + 1, __es);
+
+ for (_DifferenceType __i = 0; __i < __num_samples; ++__i)
+ ::new(&(__sd->_M_samples[__iam * __num_samples + __i]))
+ _ValueType(__sd->_M_source[__sd->_M_starts[__iam]
+ + __es[__i + 1]]);
+
+ delete[] __es;
+ }
+
+ /** @brief Split consistently. */
+ template<bool __exact, typename _RAIter,
+ typename _Compare, typename _SortingPlacesIterator>
+ struct _SplitConsistently
+ { };
+
+ /** @brief Split by exact splitting. */
+ template<typename _RAIter, typename _Compare,
+ typename _SortingPlacesIterator>
+ struct _SplitConsistently<true, _RAIter, _Compare, _SortingPlacesIterator>
+ {
+ void
+ operator()(const _ThreadIndex __iam,
+ _PMWMSSortingData<_RAIter>* __sd,
+ _Compare& __comp,
+ const typename
+ std::iterator_traits<_RAIter>::difference_type
+ __num_samples) const
+ {
+# pragma omp barrier
+
+ std::vector<std::pair<_SortingPlacesIterator,
+ _SortingPlacesIterator> >
+ __seqs(__sd->_M_num_threads);
+ for (_ThreadIndex __s = 0; __s < __sd->_M_num_threads; __s++)
+ __seqs[__s] = std::make_pair(__sd->_M_temporary[__s],
+ __sd->_M_temporary[__s]
+ + (__sd->_M_starts[__s + 1]
+ - __sd->_M_starts[__s]));
+
+ std::vector<_SortingPlacesIterator> __offsets(__sd->_M_num_threads);
+
+ // if not last thread
+ if (__iam < __sd->_M_num_threads - 1)
+ multiseq_partition(__seqs.begin(), __seqs.end(),
+ __sd->_M_starts[__iam + 1], __offsets.begin(),
+ __comp);
+
+ for (_ThreadIndex __seq = 0; __seq < __sd->_M_num_threads; __seq++)
+ {
+ // for each sequence
+ if (__iam < (__sd->_M_num_threads - 1))
+ __sd->_M_pieces[__iam][__seq]._M_end
+ = __offsets[__seq] - __seqs[__seq].first;
+ else
+ // very end of this sequence
+ __sd->_M_pieces[__iam][__seq]._M_end =
+ __sd->_M_starts[__seq + 1] - __sd->_M_starts[__seq];
+ }
+
+# pragma omp barrier
+
+ for (_ThreadIndex __seq = 0; __seq < __sd->_M_num_threads; __seq++)
+ {
+ // For each sequence.
+ if (__iam > 0)
+ __sd->_M_pieces[__iam][__seq]._M_begin =
+ __sd->_M_pieces[__iam - 1][__seq]._M_end;
+ else
+ // Absolute beginning.
+ __sd->_M_pieces[__iam][__seq]._M_begin = 0;
+ }
+ }
+ };
+
+ /** @brief Split by sampling. */
+ template<typename _RAIter, typename _Compare,
+ typename _SortingPlacesIterator>
+ struct _SplitConsistently<false, _RAIter, _Compare, _SortingPlacesIterator>
+ {
+ void
+ operator()(const _ThreadIndex __iam,
+ _PMWMSSortingData<_RAIter>* __sd,
+ _Compare& __comp,
+ const typename
+ std::iterator_traits<_RAIter>::difference_type
+ __num_samples) const
+ {
+ typedef std::iterator_traits<_RAIter> _TraitsType;
+ typedef typename _TraitsType::value_type _ValueType;
+ typedef typename _TraitsType::difference_type _DifferenceType;
+
+ __determine_samples(__sd, __num_samples);
+
+# pragma omp barrier
+
+# pragma omp single
+ __gnu_sequential::sort(__sd->_M_samples,
+ __sd->_M_samples
+ + (__num_samples * __sd->_M_num_threads),
+ __comp);
+
+# pragma omp barrier
+
+ for (_ThreadIndex __s = 0; __s < __sd->_M_num_threads; ++__s)
+ {
+ // For each sequence.
+ if (__num_samples * __iam > 0)
+ __sd->_M_pieces[__iam][__s]._M_begin =
+ std::lower_bound(__sd->_M_temporary[__s],
+ __sd->_M_temporary[__s]
+ + (__sd->_M_starts[__s + 1]
+ - __sd->_M_starts[__s]),
+ __sd->_M_samples[__num_samples * __iam],
+ __comp)
+ - __sd->_M_temporary[__s];
+ else
+ // Absolute beginning.
+ __sd->_M_pieces[__iam][__s]._M_begin = 0;
+
+ if ((__num_samples * (__iam + 1)) <
+ (__num_samples * __sd->_M_num_threads))
+ __sd->_M_pieces[__iam][__s]._M_end =
+ std::lower_bound(__sd->_M_temporary[__s],
+ __sd->_M_temporary[__s]
+ + (__sd->_M_starts[__s + 1]
+ - __sd->_M_starts[__s]),
+ __sd->_M_samples[__num_samples * (__iam + 1)],
+ __comp)
+ - __sd->_M_temporary[__s];
+ else
+ // Absolute end.
+ __sd->_M_pieces[__iam][__s]._M_end = (__sd->_M_starts[__s + 1]
+ - __sd->_M_starts[__s]);
+ }
+ }
+ };
+
+ template<bool __stable, typename _RAIter, typename _Compare>
+ struct __possibly_stable_sort
+ { };
+
+ template<typename _RAIter, typename _Compare>
+ struct __possibly_stable_sort<true, _RAIter, _Compare>
+ {
+ void operator()(const _RAIter& __begin,
+ const _RAIter& __end, _Compare& __comp) const
+ { __gnu_sequential::stable_sort(__begin, __end, __comp); }
+ };
+
+ template<typename _RAIter, typename _Compare>
+ struct __possibly_stable_sort<false, _RAIter, _Compare>
+ {
+ void operator()(const _RAIter __begin,
+ const _RAIter __end, _Compare& __comp) const
+ { __gnu_sequential::sort(__begin, __end, __comp); }
+ };
+
+ template<bool __stable, typename Seq_RAIter,
+ typename _RAIter, typename _Compare,
+ typename DiffType>
+ struct __possibly_stable_multiway_merge
+ { };
+
+ template<typename Seq_RAIter, typename _RAIter,
+ typename _Compare, typename _DiffType>
+ struct __possibly_stable_multiway_merge<true, Seq_RAIter,
+ _RAIter, _Compare, _DiffType>
+ {
+ void operator()(const Seq_RAIter& __seqs_begin,
+ const Seq_RAIter& __seqs_end,
+ const _RAIter& __target,
+ _Compare& __comp,
+ _DiffType __length_am) const
+ { stable_multiway_merge(__seqs_begin, __seqs_end, __target,
+ __length_am, __comp, sequential_tag()); }
+ };
+
+ template<typename Seq_RAIter, typename _RAIter,
+ typename _Compare, typename _DiffType>
+ struct __possibly_stable_multiway_merge<false, Seq_RAIter,
+ _RAIter, _Compare, _DiffType>
+ {
+ void operator()(const Seq_RAIter& __seqs_begin,
+ const Seq_RAIter& __seqs_end,
+ const _RAIter& __target,
+ _Compare& __comp,
+ _DiffType __length_am) const
+ { multiway_merge(__seqs_begin, __seqs_end, __target, __length_am,
+ __comp, sequential_tag()); }
+ };
+
+ /** @brief PMWMS code executed by each thread.
+ * @param __sd Pointer to algorithm data.
+ * @param __comp Comparator.
+ */
+ template<bool __stable, bool __exact, typename _RAIter,
+ typename _Compare>
+ void
+ parallel_sort_mwms_pu(_PMWMSSortingData<_RAIter>* __sd,
+ _Compare& __comp)
+ {
+ typedef std::iterator_traits<_RAIter> _TraitsType;
+ typedef typename _TraitsType::value_type _ValueType;
+ typedef typename _TraitsType::difference_type _DifferenceType;
+
+ _ThreadIndex __iam = omp_get_thread_num();
+
+ // Length of this thread's chunk, before merging.
+ _DifferenceType __length_local =
+ __sd->_M_starts[__iam + 1] - __sd->_M_starts[__iam];
+
+ // Sort in temporary storage, leave space for sentinel.
+
+ typedef _ValueType* _SortingPlacesIterator;
+
+ __sd->_M_temporary[__iam] =
+ static_cast<_ValueType*>(::operator new(sizeof(_ValueType)
+ * (__length_local + 1)));
+
+ // Copy there.
+ std::uninitialized_copy(__sd->_M_source + __sd->_M_starts[__iam],
+ __sd->_M_source + __sd->_M_starts[__iam]
+ + __length_local,
+ __sd->_M_temporary[__iam]);
+
+ __possibly_stable_sort<__stable, _SortingPlacesIterator, _Compare>()
+ (__sd->_M_temporary[__iam],
+ __sd->_M_temporary[__iam] + __length_local,
+ __comp);
+
+ // Invariant: locally sorted subsequence in sd->_M_temporary[__iam],
+ // __sd->_M_temporary[__iam] + __length_local.
+
+ // No barrier here: Synchronization is done by the splitting routine.
+
+ _DifferenceType __num_samples =
+ _Settings::get().sort_mwms_oversampling * __sd->_M_num_threads - 1;
+ _SplitConsistently<__exact, _RAIter, _Compare, _SortingPlacesIterator>()
+ (__iam, __sd, __comp, __num_samples);
+
+ // Offset from __target __begin, __length after merging.
+ _DifferenceType __offset = 0, __length_am = 0;
+ for (_ThreadIndex __s = 0; __s < __sd->_M_num_threads; __s++)
+ {
+ __length_am += (__sd->_M_pieces[__iam][__s]._M_end
+ - __sd->_M_pieces[__iam][__s]._M_begin);
+ __offset += __sd->_M_pieces[__iam][__s]._M_begin;
+ }
+
+ typedef std::vector<
+ std::pair<_SortingPlacesIterator, _SortingPlacesIterator> >
+ _SeqVector;
+ _SeqVector __seqs(__sd->_M_num_threads);
+
+ for (_ThreadIndex __s = 0; __s < __sd->_M_num_threads; ++__s)
+ {
+ __seqs[__s] =
+ std::make_pair(__sd->_M_temporary[__s]
+ + __sd->_M_pieces[__iam][__s]._M_begin,
+ __sd->_M_temporary[__s]
+ + __sd->_M_pieces[__iam][__s]._M_end);
+ }
+
+ __possibly_stable_multiway_merge<
+ __stable, typename _SeqVector::iterator,
+ _RAIter, _Compare, _DifferenceType>()(__seqs.begin(), __seqs.end(),
+ __sd->_M_source + __offset, __comp,
+ __length_am);
+
+# pragma omp barrier
+
+ for (_DifferenceType __i = 0; __i < __length_local; ++__i)
+ __sd->_M_temporary[__iam][__i].~_ValueType();
+ ::operator delete(__sd->_M_temporary[__iam]);
+ }
+
+ /** @brief PMWMS main call.
+ * @param __begin Begin iterator of sequence.
+ * @param __end End iterator of sequence.
+ * @param __comp Comparator.
+ * @param __n Length of sequence.
+ * @param __num_threads Number of threads to use.
+ */
+ template<bool __stable, bool __exact, typename _RAIter,
+ typename _Compare>
+ void
+ parallel_sort_mwms(_RAIter __begin, _RAIter __end,
+ _Compare __comp,
+ _ThreadIndex __num_threads)
+ {
+ _GLIBCXX_CALL(__end - __begin)
+
+ typedef std::iterator_traits<_RAIter> _TraitsType;
+ typedef typename _TraitsType::value_type _ValueType;
+ typedef typename _TraitsType::difference_type _DifferenceType;
+
+ _DifferenceType __n = __end - __begin;
+
+ if (__n <= 1)
+ return;
+
+ // at least one element per thread
+ if (__num_threads > __n)
+ __num_threads = static_cast<_ThreadIndex>(__n);
+
+ // shared variables
+ _PMWMSSortingData<_RAIter> __sd;
+ _DifferenceType* __starts;
+ _DifferenceType __size;
+
+# pragma omp parallel num_threads(__num_threads)
+ {
+ __num_threads = omp_get_num_threads(); //no more threads than requested
+
+# pragma omp single
+ {
+ __sd._M_num_threads = __num_threads;
+ __sd._M_source = __begin;
+
+ __sd._M_temporary = new _ValueType*[__num_threads];
+
+ if (!__exact)
+ {
+ __size =
+ (_Settings::get().sort_mwms_oversampling * __num_threads - 1)
+ * __num_threads;
+ __sd._M_samples = static_cast<_ValueType*>
+ (::operator new(__size * sizeof(_ValueType)));
+ }
+ else
+ __sd._M_samples = 0;
+
+ __sd._M_offsets = new _DifferenceType[__num_threads - 1];
+ __sd._M_pieces
+ = new std::vector<_Piece<_DifferenceType> >[__num_threads];
+ for (_ThreadIndex __s = 0; __s < __num_threads; ++__s)
+ __sd._M_pieces[__s].resize(__num_threads);
+ __starts = __sd._M_starts = new _DifferenceType[__num_threads + 1];
+
+ _DifferenceType __chunk_length = __n / __num_threads;
+ _DifferenceType __split = __n % __num_threads;
+ _DifferenceType __pos = 0;
+ for (_ThreadIndex __i = 0; __i < __num_threads; ++__i)
+ {
+ __starts[__i] = __pos;
+ __pos += ((__i < __split)
+ ? (__chunk_length + 1) : __chunk_length);
+ }
+ __starts[__num_threads] = __pos;
+ } //single
+
+ // Now sort in parallel.
+ parallel_sort_mwms_pu<__stable, __exact>(&__sd, __comp);
+ } //parallel
+
+ delete[] __starts;
+ delete[] __sd._M_temporary;
+
+ if (!__exact)
+ {
+ for (_DifferenceType __i = 0; __i < __size; ++__i)
+ __sd._M_samples[__i].~_ValueType();
+ ::operator delete(__sd._M_samples);
+ }
+
+ delete[] __sd._M_offsets;
+ delete[] __sd._M_pieces;
+ }
+
+} //namespace __gnu_parallel
+
+#endif /* _GLIBCXX_PARALLEL_MULTIWAY_MERGESORT_H */