cpp-d1064d
[cross.git] / i686-linux-gnu-4.7 / usr / include / c++ / 4.7 / parallel / multiway_merge.h
diff --git a/i686-linux-gnu-4.7/usr/include/c++/4.7/parallel/multiway_merge.h b/i686-linux-gnu-4.7/usr/include/c++/4.7/parallel/multiway_merge.h
new file mode 100644 (file)
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+// -*- C++ -*-
+
+// Copyright (C) 2007, 2008, 2009, 2010, 2011 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_merge.h
+*  @brief Implementation of sequential and parallel multiway merge.
+*
+*  Explanations on the high-speed merging routines in the appendix of
+*
+*  P. Sanders.
+*  Fast priority queues for cached memory.
+*  ACM Journal of Experimental Algorithmics, 5, 2000.
+*
+*  This file is a GNU parallel extension to the Standard C++ Library.
+*/
+
+// Written by Johannes Singler and Manuel Holtgrewe.
+
+#ifndef _GLIBCXX_PARALLEL_MULTIWAY_MERGE_H
+#define _GLIBCXX_PARALLEL_MULTIWAY_MERGE_H
+
+#include <vector>
+
+#include <bits/stl_algo.h>
+#include <parallel/features.h>
+#include <parallel/parallel.h>
+#include <parallel/losertree.h>
+#include <parallel/multiseq_selection.h>
+#if _GLIBCXX_ASSERTIONS
+#include <parallel/checkers.h>
+#endif
+
+/** @brief Length of a sequence described by a pair of iterators. */
+#define _GLIBCXX_PARALLEL_LENGTH(__s) ((__s).second - (__s).first)
+
+namespace __gnu_parallel
+{
+  template<typename _RAIter1, typename _RAIter2, typename _OutputIterator,
+          typename _DifferenceTp, typename _Compare>
+    _OutputIterator
+    __merge_advance(_RAIter1&, _RAIter1, _RAIter2&, _RAIter2,
+                   _OutputIterator, _DifferenceTp, _Compare);
+
+  /** @brief _Iterator wrapper supporting an implicit supremum at the end
+   *         of the sequence, dominating all comparisons.
+   *
+   * The implicit supremum comes with a performance cost.
+   *
+   * Deriving from _RAIter is not possible since
+   * _RAIter need not be a class.
+   */
+  template<typename _RAIter, typename _Compare>
+    class _GuardedIterator
+    {
+    private:
+      /** @brief Current iterator __position. */
+      _RAIter _M_current;
+
+      /** @brief End iterator of the sequence. */
+      _RAIter _M_end;
+
+      /** @brief _Compare. */
+      _Compare& __comp;
+
+    public:
+      /** @brief Constructor. Sets iterator to beginning of sequence.
+      *  @param __begin Begin iterator of sequence.
+      *  @param __end End iterator of sequence.
+      *  @param __comp Comparator provided for associated overloaded
+      *  compare operators. */
+      _GuardedIterator(_RAIter __begin, _RAIter __end, _Compare& __comp)
+      : _M_current(__begin), _M_end(__end), __comp(__comp)
+      { }
+
+      /** @brief Pre-increment operator.
+      *  @return This. */
+      _GuardedIterator<_RAIter, _Compare>&
+      operator++()
+      {
+       ++_M_current;
+       return *this;
+      }
+
+      /** @brief Dereference operator.
+      *  @return Referenced element. */
+      typename std::iterator_traits<_RAIter>::value_type&
+      operator*()
+      { return *_M_current; }
+
+      /** @brief Convert to wrapped iterator.
+      *  @return Wrapped iterator. */
+      operator _RAIter()
+      { return _M_current; }
+
+      /** @brief Compare two elements referenced by guarded iterators.
+       *  @param __bi1 First iterator.
+       *  @param __bi2 Second iterator.
+       *  @return @c true if less. */
+      friend bool
+      operator<(_GuardedIterator<_RAIter, _Compare>& __bi1,
+               _GuardedIterator<_RAIter, _Compare>& __bi2)
+      {
+       if (__bi1._M_current == __bi1._M_end)       // __bi1 is sup
+         return __bi2._M_current == __bi2._M_end;  // __bi2 is not sup
+       if (__bi2._M_current == __bi2._M_end)       // __bi2 is sup
+         return true;
+       return (__bi1.__comp)(*__bi1, *__bi2);      // normal compare
+      }
+
+      /** @brief Compare two elements referenced by guarded iterators.
+       *  @param __bi1 First iterator.
+       *  @param __bi2 Second iterator.
+       *  @return @c True if less equal. */
+      friend bool
+      operator<=(_GuardedIterator<_RAIter, _Compare>& __bi1,
+                _GuardedIterator<_RAIter, _Compare>& __bi2)
+      {
+       if (__bi2._M_current == __bi2._M_end)       // __bi1 is sup
+         return __bi1._M_current != __bi1._M_end;  // __bi2 is not sup
+       if (__bi1._M_current == __bi1._M_end)       // __bi2 is sup
+         return false;
+       return !(__bi1.__comp)(*__bi2, *__bi1);     // normal compare
+      } 
+    };
+
+  template<typename _RAIter, typename _Compare>
+    class _UnguardedIterator
+    {
+    private:
+      /** @brief Current iterator __position. */
+      _RAIter _M_current;
+      /** @brief _Compare. */
+      _Compare& __comp;
+
+    public:
+      /** @brief Constructor. Sets iterator to beginning of sequence.
+      *  @param __begin Begin iterator of sequence.
+      *  @param __end Unused, only for compatibility.
+      *  @param __comp Unused, only for compatibility. */
+      _UnguardedIterator(_RAIter __begin,
+                        _RAIter /* __end */, _Compare& __comp)
+      : _M_current(__begin), __comp(__comp)
+      { }
+
+      /** @brief Pre-increment operator.
+      *  @return This. */
+      _UnguardedIterator<_RAIter, _Compare>&
+      operator++()
+      {
+       ++_M_current;
+       return *this;
+      }
+
+      /** @brief Dereference operator.
+      *  @return Referenced element. */
+      typename std::iterator_traits<_RAIter>::value_type&
+      operator*()
+      { return *_M_current; }
+
+      /** @brief Convert to wrapped iterator.
+      *  @return Wrapped iterator. */
+      operator _RAIter()
+      { return _M_current; }
+
+      /** @brief Compare two elements referenced by unguarded iterators.
+       *  @param __bi1 First iterator.
+       *  @param __bi2 Second iterator.
+       *  @return @c true if less. */
+      friend bool
+      operator<(_UnguardedIterator<_RAIter, _Compare>& __bi1,
+               _UnguardedIterator<_RAIter, _Compare>& __bi2)
+      {
+       // Normal compare.
+       return (__bi1.__comp)(*__bi1, *__bi2);
+      }
+
+      /** @brief Compare two elements referenced by unguarded iterators.
+       *  @param __bi1 First iterator.
+       *  @param __bi2 Second iterator.
+       *  @return @c True if less equal. */
+      friend bool
+      operator<=(_UnguardedIterator<_RAIter, _Compare>& __bi1,
+                _UnguardedIterator<_RAIter, _Compare>& __bi2)
+      {
+       // Normal compare.
+       return !(__bi1.__comp)(*__bi2, *__bi1);
+      }
+    };
+
+  /** @brief Highly efficient 3-way merging procedure.
+   *
+   * Merging is done with the algorithm implementation described by Peter
+   * Sanders.  Basically, the idea is to minimize the number of necessary
+   * comparison after merging an element.  The implementation trick
+   * that makes this fast is that the order of the sequences is stored
+   * in the instruction pointer (translated into labels in C++).
+   *
+   * This works well for merging up to 4 sequences.
+   *
+   * Note that making the merging stable does @a not come at a
+   * performance hit.
+   *
+   * Whether the merging is done guarded or unguarded is selected by the
+   * used iterator class.
+   *
+   * @param __seqs_begin Begin iterator of iterator pair input sequence.
+   * @param __seqs_end End iterator of iterator pair input sequence.
+   * @param __target Begin iterator of output sequence.
+   * @param __comp Comparator.
+   * @param __length Maximum length to merge, less equal than the
+   * total number of elements available.
+   *
+   * @return End iterator of output sequence.
+   */
+  template<template<typename RAI, typename C> class iterator,
+           typename _RAIterIterator,
+           typename _RAIter3,
+           typename _DifferenceTp,
+           typename _Compare>
+    _RAIter3
+    multiway_merge_3_variant(_RAIterIterator __seqs_begin,
+                            _RAIterIterator __seqs_end,
+                            _RAIter3 __target,
+                            _DifferenceTp __length, _Compare __comp)
+    {
+      _GLIBCXX_CALL(__length);
+
+      typedef _DifferenceTp _DifferenceType;
+
+      typedef typename std::iterator_traits<_RAIterIterator>
+       ::value_type::first_type
+       _RAIter1;
+      typedef typename std::iterator_traits<_RAIter1>::value_type
+       _ValueType;
+
+      if (__length == 0)
+       return __target;
+
+#if _GLIBCXX_ASSERTIONS
+      _DifferenceTp __orig_length = __length;
+#endif
+
+      iterator<_RAIter1, _Compare>
+       __seq0(__seqs_begin[0].first, __seqs_begin[0].second, __comp),
+       __seq1(__seqs_begin[1].first, __seqs_begin[1].second, __comp),
+       __seq2(__seqs_begin[2].first, __seqs_begin[2].second, __comp);
+
+      if (__seq0 <= __seq1)
+       {
+          if (__seq1 <= __seq2)
+            goto __s012;
+          else
+            if (__seq2 <  __seq0)
+              goto __s201;
+            else
+              goto __s021;
+       }
+      else
+       {
+          if (__seq1 <= __seq2)
+            {
+              if (__seq0 <= __seq2)
+               goto __s102;
+              else
+               goto __s120;
+            }
+          else
+            goto __s210;
+       }
+#define _GLIBCXX_PARALLEL_MERGE_3_CASE(__a, __b, __c, __c0, __c1) \
+      __s ## __a ## __b ## __c :                            \
+       *__target = *__seq ## __a;                          \
+       ++__target;                                         \
+       --__length;                                         \
+       ++__seq ## __a;                                     \
+       if (__length == 0) goto __finish;                   \
+       if (__seq ## __a __c0 __seq ## __b) goto __s ## __a ## __b ## __c; \
+       if (__seq ## __a __c1 __seq ## __c) goto __s ## __b ## __a ## __c; \
+       goto __s ## __b ## __c ## __a;
+
+      _GLIBCXX_PARALLEL_MERGE_3_CASE(0, 1, 2, <=, <=);
+      _GLIBCXX_PARALLEL_MERGE_3_CASE(1, 2, 0, <=, < );
+      _GLIBCXX_PARALLEL_MERGE_3_CASE(2, 0, 1, < , < );
+      _GLIBCXX_PARALLEL_MERGE_3_CASE(1, 0, 2, < , <=);
+      _GLIBCXX_PARALLEL_MERGE_3_CASE(0, 2, 1, <=, <=);
+      _GLIBCXX_PARALLEL_MERGE_3_CASE(2, 1, 0, < , < );
+
+#undef _GLIBCXX_PARALLEL_MERGE_3_CASE
+
+    __finish:
+      ;
+
+#if _GLIBCXX_ASSERTIONS
+    _GLIBCXX_PARALLEL_ASSERT(
+       ((_RAIter1)__seq0 - __seqs_begin[0].first) +
+       ((_RAIter1)__seq1 - __seqs_begin[1].first) +
+       ((_RAIter1)__seq2 - __seqs_begin[2].first)
+       == __orig_length);
+#endif
+
+      __seqs_begin[0].first = __seq0;
+      __seqs_begin[1].first = __seq1;
+      __seqs_begin[2].first = __seq2;
+
+      return __target;
+    }
+
+  /**
+   * @brief Highly efficient 4-way merging procedure.
+   *
+   * Merging is done with the algorithm implementation described by Peter
+   * Sanders. Basically, the idea is to minimize the number of necessary
+   * comparison after merging an element.  The implementation trick
+   * that makes this fast is that the order of the sequences is stored
+   * in the instruction pointer (translated into goto labels in C++).
+   *
+   * This works well for merging up to 4 sequences.
+   *
+   * Note that making the merging stable does @a not come at a
+   * performance hit.
+   *
+   * Whether the merging is done guarded or unguarded is selected by the
+   * used iterator class.
+   *
+   * @param __seqs_begin Begin iterator of iterator pair input sequence.
+   * @param __seqs_end End iterator of iterator pair input sequence.
+   * @param __target Begin iterator of output sequence.
+   * @param __comp Comparator.
+   * @param __length Maximum length to merge, less equal than the
+   * total number of elements available.
+   *
+   * @return End iterator of output sequence.
+   */
+  template<template<typename RAI, typename C> class iterator,
+           typename _RAIterIterator,
+           typename _RAIter3,
+           typename _DifferenceTp,
+           typename _Compare>
+    _RAIter3
+    multiway_merge_4_variant(_RAIterIterator __seqs_begin,
+                             _RAIterIterator __seqs_end,
+                             _RAIter3 __target,
+                             _DifferenceTp __length, _Compare __comp)
+    {
+      _GLIBCXX_CALL(__length);
+      typedef _DifferenceTp _DifferenceType;
+
+      typedef typename std::iterator_traits<_RAIterIterator>
+       ::value_type::first_type
+       _RAIter1;
+      typedef typename std::iterator_traits<_RAIter1>::value_type
+       _ValueType;
+
+      iterator<_RAIter1, _Compare>
+       __seq0(__seqs_begin[0].first, __seqs_begin[0].second, __comp),
+       __seq1(__seqs_begin[1].first, __seqs_begin[1].second, __comp),
+       __seq2(__seqs_begin[2].first, __seqs_begin[2].second, __comp),
+       __seq3(__seqs_begin[3].first, __seqs_begin[3].second, __comp);
+
+#define _GLIBCXX_PARALLEL_DECISION(__a, __b, __c, __d) {  \
+       if (__seq ## __d < __seq ## __a)                  \
+         goto __s ## __d ## __a ## __b ## __c;           \
+       if (__seq ## __d < __seq ## __b)                  \
+         goto __s ## __a ## __d ## __b ## __c;           \
+       if (__seq ## __d < __seq ## __c)                  \
+         goto __s ## __a ## __b ## __d ## __c;           \
+       goto __s ## __a ## __b ## __c ## __d;  }
+
+      if (__seq0 <= __seq1)
+       {
+          if (__seq1 <= __seq2)
+            _GLIBCXX_PARALLEL_DECISION(0,1,2,3)
+            else
+              if (__seq2 < __seq0)
+               _GLIBCXX_PARALLEL_DECISION(2,0,1,3)
+               else
+                  _GLIBCXX_PARALLEL_DECISION(0,2,1,3)
+                    }
+      else
+       {
+          if (__seq1 <= __seq2)
+            {
+              if (__seq0 <= __seq2)
+               _GLIBCXX_PARALLEL_DECISION(1,0,2,3)
+               else
+                  _GLIBCXX_PARALLEL_DECISION(1,2,0,3)
+                    }
+          else
+            _GLIBCXX_PARALLEL_DECISION(2,1,0,3)
+              }
+
+#define _GLIBCXX_PARALLEL_MERGE_4_CASE(__a, __b, __c, __d,  \
+                                      __c0, __c1, __c2)    \
+      __s ## __a ## __b ## __c ## __d:                      \
+      if (__length == 0) goto __finish;                     \
+      *__target = *__seq ## __a;                            \
+      ++__target;                                           \
+      --__length;                                           \
+      ++__seq ## __a;                                       \
+      if (__seq ## __a __c0 __seq ## __b)      \
+       goto __s ## __a ## __b ## __c ## __d;  \
+      if (__seq ## __a __c1 __seq ## __c)      \
+       goto __s ## __b ## __a ## __c ## __d;  \
+      if (__seq ## __a __c2 __seq ## __d)      \
+       goto __s ## __b ## __c ## __a ## __d;  \
+      goto __s ## __b ## __c ## __d ## __a;
+
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(0, 1, 2, 3, <=, <=, <=);
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(0, 1, 3, 2, <=, <=, <=);
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(0, 2, 1, 3, <=, <=, <=);
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(0, 2, 3, 1, <=, <=, <=);
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(0, 3, 1, 2, <=, <=, <=);
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(0, 3, 2, 1, <=, <=, <=);
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(1, 0, 2, 3, < , <=, <=);
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(1, 0, 3, 2, < , <=, <=);
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(1, 2, 0, 3, <=, < , <=);
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(1, 2, 3, 0, <=, <=, < );
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(1, 3, 0, 2, <=, < , <=);
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(1, 3, 2, 0, <=, <=, < );
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(2, 0, 1, 3, < , < , <=);
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(2, 0, 3, 1, < , <=, < );
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(2, 1, 0, 3, < , < , <=);
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(2, 1, 3, 0, < , <=, < );
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(2, 3, 0, 1, <=, < , < );
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(2, 3, 1, 0, <=, < , < );
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(3, 0, 1, 2, < , < , < );
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(3, 0, 2, 1, < , < , < );
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(3, 1, 0, 2, < , < , < );
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(3, 1, 2, 0, < , < , < );
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(3, 2, 0, 1, < , < , < );
+      _GLIBCXX_PARALLEL_MERGE_4_CASE(3, 2, 1, 0, < , < , < );
+
+#undef _GLIBCXX_PARALLEL_MERGE_4_CASE
+#undef _GLIBCXX_PARALLEL_DECISION
+
+    __finish:
+      ;
+
+      __seqs_begin[0].first = __seq0;
+      __seqs_begin[1].first = __seq1;
+      __seqs_begin[2].first = __seq2;
+      __seqs_begin[3].first = __seq3;
+
+      return __target;
+    }
+
+  /** @brief Multi-way merging procedure for a high branching factor,
+   *         guarded case.
+   *
+   * This merging variant uses a LoserTree class as selected by <tt>_LT</tt>.
+   *
+   * Stability is selected through the used LoserTree class <tt>_LT</tt>.
+   *
+   * At least one non-empty sequence is required.
+   *
+   * @param __seqs_begin Begin iterator of iterator pair input sequence.
+   * @param __seqs_end End iterator of iterator pair input sequence.
+   * @param __target Begin iterator of output sequence.
+   * @param __comp Comparator.
+   * @param __length Maximum length to merge, less equal than the
+   * total number of elements available.
+   *
+   * @return End iterator of output sequence.
+   */
+  template<typename _LT,
+           typename _RAIterIterator,
+           typename _RAIter3,
+           typename _DifferenceTp,
+           typename _Compare>
+    _RAIter3
+    multiway_merge_loser_tree(_RAIterIterator __seqs_begin,
+                              _RAIterIterator __seqs_end,
+                              _RAIter3 __target,
+                              _DifferenceTp __length, _Compare __comp)
+    {
+      _GLIBCXX_CALL(__length)
+
+      typedef _DifferenceTp _DifferenceType;
+      typedef typename std::iterator_traits<_RAIterIterator>
+       ::difference_type _SeqNumber;
+      typedef typename std::iterator_traits<_RAIterIterator>
+       ::value_type::first_type
+       _RAIter1;
+      typedef typename std::iterator_traits<_RAIter1>::value_type
+       _ValueType;
+
+      _SeqNumber __k = static_cast<_SeqNumber>(__seqs_end - __seqs_begin);
+
+      _LT __lt(__k, __comp);
+
+      // Default value for potentially non-default-constructible types.
+      _ValueType* __arbitrary_element = 0;
+
+      for (_SeqNumber __t = 0; __t < __k; ++__t)
+       {
+          if(!__arbitrary_element
+            && _GLIBCXX_PARALLEL_LENGTH(__seqs_begin[__t]) > 0)
+            __arbitrary_element = &(*__seqs_begin[__t].first);
+       }
+
+      for (_SeqNumber __t = 0; __t < __k; ++__t)
+       {
+          if (__seqs_begin[__t].first == __seqs_begin[__t].second)
+            __lt.__insert_start(*__arbitrary_element, __t, true);
+          else
+            __lt.__insert_start(*__seqs_begin[__t].first, __t, false);
+       }
+
+      __lt.__init();
+
+      _SeqNumber __source;
+
+      for (_DifferenceType __i = 0; __i < __length; ++__i)
+       {
+          //take out
+          __source = __lt.__get_min_source();
+
+          *(__target++) = *(__seqs_begin[__source].first++);
+
+          // Feed.
+          if (__seqs_begin[__source].first == __seqs_begin[__source].second)
+            __lt.__delete_min_insert(*__arbitrary_element, true);
+          else
+            // Replace from same __source.
+            __lt.__delete_min_insert(*__seqs_begin[__source].first, false);
+       }
+
+      return __target;
+    }
+
+  /** @brief Multi-way merging procedure for a high branching factor,
+   *         unguarded case.
+   *
+   * Merging is done using the LoserTree class <tt>_LT</tt>.
+   *
+   * Stability is selected by the used LoserTrees.
+   *
+   * @pre No input will run out of elements during the merge.
+   *
+   * @param __seqs_begin Begin iterator of iterator pair input sequence.
+   * @param __seqs_end End iterator of iterator pair input sequence.
+   * @param __target Begin iterator of output sequence.
+   * @param __comp Comparator.
+   * @param __length Maximum length to merge, less equal than the
+   * total number of elements available.
+   *
+   * @return End iterator of output sequence.
+   */
+  template<typename _LT,
+          typename _RAIterIterator,
+          typename _RAIter3,
+          typename _DifferenceTp, typename _Compare>
+    _RAIter3
+    multiway_merge_loser_tree_unguarded(_RAIterIterator __seqs_begin,
+                                       _RAIterIterator __seqs_end,
+                                       _RAIter3 __target,
+       const typename std::iterator_traits<typename std::iterator_traits<
+         _RAIterIterator>::value_type::first_type>::value_type&
+                                       __sentinel,
+                                       _DifferenceTp __length,
+                                       _Compare __comp)
+    {
+      _GLIBCXX_CALL(__length)
+      typedef _DifferenceTp _DifferenceType;
+
+      typedef typename std::iterator_traits<_RAIterIterator>
+       ::difference_type _SeqNumber;
+      typedef typename std::iterator_traits<_RAIterIterator>
+       ::value_type::first_type
+       _RAIter1;
+      typedef typename std::iterator_traits<_RAIter1>::value_type
+       _ValueType;
+
+      _SeqNumber __k = __seqs_end - __seqs_begin;
+
+      _LT __lt(__k, __sentinel, __comp);
+
+      for (_SeqNumber __t = 0; __t < __k; ++__t)
+       {
+#if _GLIBCXX_ASSERTIONS
+          _GLIBCXX_PARALLEL_ASSERT(__seqs_begin[__t].first
+                                   != __seqs_begin[__t].second);
+#endif
+          __lt.__insert_start(*__seqs_begin[__t].first, __t, false);
+       }
+
+      __lt.__init();
+
+      _SeqNumber __source;
+
+#if _GLIBCXX_ASSERTIONS
+      _DifferenceType __i = 0;
+#endif
+
+      _RAIter3 __target_end = __target + __length;
+      while (__target < __target_end)
+       {
+          // Take out.
+          __source = __lt.__get_min_source();
+
+#if _GLIBCXX_ASSERTIONS
+          _GLIBCXX_PARALLEL_ASSERT(0 <= __source && __source < __k);
+          _GLIBCXX_PARALLEL_ASSERT(__i == 0
+              || !__comp(*(__seqs_begin[__source].first), *(__target - 1)));
+#endif
+
+          // Feed.
+          *(__target++) = *(__seqs_begin[__source].first++);
+
+#if _GLIBCXX_ASSERTIONS
+          ++__i;
+#endif
+          // Replace from same __source.
+          __lt.__delete_min_insert(*__seqs_begin[__source].first, false);
+       }
+
+      return __target;
+    }
+
+
+  /** @brief Multi-way merging procedure for a high branching factor,
+   *         requiring sentinels to exist.
+   *
+   * @tparam UnguardedLoserTree _Loser Tree variant to use for the unguarded
+   *   merging.
+   *
+   * @param __seqs_begin Begin iterator of iterator pair input sequence.
+   * @param __seqs_end End iterator of iterator pair input sequence.
+   * @param __target Begin iterator of output sequence.
+   * @param __comp Comparator.
+   * @param __length Maximum length to merge, less equal than the
+   * total number of elements available.
+   *
+   * @return End iterator of output sequence.
+   */
+  template<typename UnguardedLoserTree,
+          typename _RAIterIterator,
+          typename _RAIter3,
+          typename _DifferenceTp,
+          typename _Compare>
+    _RAIter3
+    multiway_merge_loser_tree_sentinel(_RAIterIterator __seqs_begin,
+                                      _RAIterIterator __seqs_end,
+                                      _RAIter3 __target,
+      const typename std::iterator_traits<typename std::iterator_traits<
+       _RAIterIterator>::value_type::first_type>::value_type&
+                                      __sentinel,
+                                      _DifferenceTp __length,
+                                      _Compare __comp)
+    {
+      _GLIBCXX_CALL(__length)
+
+      typedef _DifferenceTp _DifferenceType;
+      typedef std::iterator_traits<_RAIterIterator> _TraitsType;
+      typedef typename std::iterator_traits<_RAIterIterator>
+       ::value_type::first_type
+       _RAIter1;
+      typedef typename std::iterator_traits<_RAIter1>::value_type
+       _ValueType;
+
+      _RAIter3 __target_end;
+
+      for (_RAIterIterator __s = __seqs_begin; __s != __seqs_end; ++__s)
+       // Move the sequence ends to the sentinel.  This has the
+       // effect that the sentinel appears to be within the sequence. Then,
+       // we can use the unguarded variant if we merge out as many
+       // non-sentinel elements as we have.
+       ++((*__s).second);
+
+      __target_end = multiway_merge_loser_tree_unguarded<UnguardedLoserTree>
+       (__seqs_begin, __seqs_end, __target, __sentinel, __length, __comp);
+
+#if _GLIBCXX_ASSERTIONS
+      _GLIBCXX_PARALLEL_ASSERT(__target_end == __target + __length);
+      _GLIBCXX_PARALLEL_ASSERT(__is_sorted(__target, __target_end, __comp));
+#endif
+
+      // Restore the sequence ends so the sentinels are not contained in the
+      // sequence any more (see comment in loop above).
+      for (_RAIterIterator __s = __seqs_begin; __s != __seqs_end; ++__s)
+       --((*__s).second);
+
+      return __target_end;
+    }
+
+  /**
+   * @brief Traits for determining whether the loser tree should
+   *   use pointers or copies.
+   *
+   * The field "_M_use_pointer" is used to determine whether to use pointers
+   * in he loser trees or whether to copy the values into the loser tree.
+   *
+   * The default behavior is to use pointers if the data type is 4 times as
+   * big as the pointer to it.
+   *
+   * Specialize for your data type to customize the behavior.
+   *
+   * Example:
+   *
+   *   template<>
+   *   struct _LoserTreeTraits<int>
+   *   { static const bool _M_use_pointer = false; };
+   *
+   *   template<>
+   *   struct _LoserTreeTraits<heavyweight_type>
+   *   { static const bool _M_use_pointer = true; };
+   *
+   * @param _Tp type to give the loser tree traits for.
+   */
+  template <typename _Tp>
+    struct _LoserTreeTraits
+    {
+      /**
+       * @brief True iff to use pointers instead of values in loser trees.
+       *
+       * The default behavior is to use pointers if the data type is four
+       * times as big as the pointer to it.
+       */
+      static const bool _M_use_pointer = (sizeof(_Tp) > 4 * sizeof(_Tp*));
+    };
+
+  /**
+   * @brief Switch for 3-way merging with __sentinels turned off.
+   *
+   * Note that 3-way merging is always stable!
+   */
+  template<bool __sentinels /*default == false*/,
+          typename _RAIterIterator,
+          typename _RAIter3,
+          typename _DifferenceTp,
+          typename _Compare>
+    struct __multiway_merge_3_variant_sentinel_switch
+    {
+      _RAIter3
+      operator()(_RAIterIterator __seqs_begin,
+                _RAIterIterator __seqs_end,
+                _RAIter3 __target,
+                _DifferenceTp __length, _Compare __comp)
+      { return multiway_merge_3_variant<_GuardedIterator>
+         (__seqs_begin, __seqs_end, __target, __length, __comp); }
+    };
+
+  /**
+   * @brief Switch for 3-way merging with __sentinels turned on.
+   *
+   * Note that 3-way merging is always stable!
+   */
+  template<typename _RAIterIterator,
+          typename _RAIter3,
+          typename _DifferenceTp,
+          typename _Compare>
+    struct __multiway_merge_3_variant_sentinel_switch<true, _RAIterIterator,
+                                                     _RAIter3, _DifferenceTp,
+                                                     _Compare>
+    {
+      _RAIter3
+      operator()(_RAIterIterator __seqs_begin,
+                _RAIterIterator __seqs_end,
+                _RAIter3 __target,
+                _DifferenceTp __length, _Compare __comp)
+      { return multiway_merge_3_variant<_UnguardedIterator>
+         (__seqs_begin, __seqs_end, __target, __length, __comp); }
+    };
+
+  /**
+   * @brief Switch for 4-way merging with __sentinels turned off.
+   *
+   * Note that 4-way merging is always stable!
+   */
+  template<bool __sentinels /*default == false*/,
+          typename _RAIterIterator,
+          typename _RAIter3,
+          typename _DifferenceTp,
+          typename _Compare>
+    struct __multiway_merge_4_variant_sentinel_switch
+    {
+      _RAIter3
+      operator()(_RAIterIterator __seqs_begin,
+                _RAIterIterator __seqs_end,
+                _RAIter3 __target,
+                _DifferenceTp __length, _Compare __comp)
+      { return multiway_merge_4_variant<_GuardedIterator>
+         (__seqs_begin, __seqs_end, __target, __length, __comp); }
+    };
+
+  /**
+   * @brief Switch for 4-way merging with __sentinels turned on.
+   *
+   * Note that 4-way merging is always stable!
+   */
+  template<typename _RAIterIterator,
+          typename _RAIter3,
+          typename _DifferenceTp,
+          typename _Compare>
+    struct __multiway_merge_4_variant_sentinel_switch<true, _RAIterIterator,
+                                                     _RAIter3, _DifferenceTp,
+                                                     _Compare>
+    {
+      _RAIter3
+      operator()(_RAIterIterator __seqs_begin,
+                _RAIterIterator __seqs_end,
+                _RAIter3 __target,
+                _DifferenceTp __length, _Compare __comp)
+      { return multiway_merge_4_variant<_UnguardedIterator>
+         (__seqs_begin, __seqs_end, __target, __length, __comp); }
+    };
+
+  /**
+   * @brief Switch for k-way merging with __sentinels turned on.
+   */
+  template<bool __sentinels,
+          bool __stable,
+          typename _RAIterIterator,
+          typename _RAIter3,
+          typename _DifferenceTp,
+          typename _Compare>
+    struct __multiway_merge_k_variant_sentinel_switch
+    {
+      _RAIter3
+      operator()(_RAIterIterator __seqs_begin,
+                _RAIterIterator __seqs_end,
+                _RAIter3 __target,
+      const typename std::iterator_traits<typename std::iterator_traits<
+      _RAIterIterator>::value_type::first_type>::value_type&
+                __sentinel,
+                _DifferenceTp __length, _Compare __comp)
+      {
+       typedef typename std::iterator_traits<_RAIterIterator>
+         ::value_type::first_type
+         _RAIter1;
+       typedef typename std::iterator_traits<_RAIter1>::value_type
+         _ValueType;
+
+       return multiway_merge_loser_tree_sentinel<
+       typename __gnu_cxx::__conditional_type<
+       _LoserTreeTraits<_ValueType>::_M_use_pointer,
+         _LoserTreePointerUnguarded<__stable, _ValueType, _Compare>,
+         _LoserTreeUnguarded<__stable, _ValueType, _Compare>
+          >::__type>
+         (__seqs_begin, __seqs_end, __target, __sentinel, __length, __comp);
+      }
+    };
+
+  /**
+   * @brief Switch for k-way merging with __sentinels turned off.
+   */
+  template<bool __stable,
+          typename _RAIterIterator,
+          typename _RAIter3,
+          typename _DifferenceTp,
+          typename _Compare>
+    struct __multiway_merge_k_variant_sentinel_switch<false, __stable,
+                                                     _RAIterIterator,
+                                                     _RAIter3, _DifferenceTp,
+                                                     _Compare>
+    {
+      _RAIter3
+      operator()(_RAIterIterator __seqs_begin,
+                _RAIterIterator __seqs_end,
+                _RAIter3 __target,
+       const typename std::iterator_traits<typename std::iterator_traits<
+       _RAIterIterator>::value_type::first_type>::value_type&
+                __sentinel,
+                _DifferenceTp __length, _Compare __comp)
+      {
+       typedef typename std::iterator_traits<_RAIterIterator>
+         ::value_type::first_type
+         _RAIter1;
+       typedef typename std::iterator_traits<_RAIter1>::value_type
+         _ValueType;
+
+       return multiway_merge_loser_tree<
+       typename __gnu_cxx::__conditional_type<
+       _LoserTreeTraits<_ValueType>::_M_use_pointer,
+         _LoserTreePointer<__stable, _ValueType, _Compare>,
+         _LoserTree<__stable, _ValueType, _Compare>
+          >::__type >(__seqs_begin, __seqs_end, __target, __length, __comp);
+      }
+    };
+
+  /** @brief Sequential multi-way merging switch.
+   *
+   *  The _GLIBCXX_PARALLEL_DECISION is based on the branching factor and
+   *  runtime settings.
+   *  @param __seqs_begin Begin iterator of iterator pair input sequence.
+   *  @param __seqs_end End iterator of iterator pair input sequence.
+   *  @param __target Begin iterator of output sequence.
+   *  @param __comp Comparator.
+   *  @param __length Maximum length to merge, possibly larger than the
+   *  number of elements available.
+   *  @param __sentinel The sequences have __a __sentinel element.
+   *  @return End iterator of output sequence. */
+  template<bool __stable,
+          bool __sentinels,
+          typename _RAIterIterator,
+          typename _RAIter3,
+          typename _DifferenceTp,
+          typename _Compare>
+    _RAIter3
+    __sequential_multiway_merge(_RAIterIterator __seqs_begin,
+                               _RAIterIterator __seqs_end,
+                               _RAIter3 __target,
+      const typename std::iterator_traits<typename std::iterator_traits<
+       _RAIterIterator>::value_type::first_type>::value_type&
+                               __sentinel,
+                               _DifferenceTp __length, _Compare __comp)
+    {
+      _GLIBCXX_CALL(__length)
+
+      typedef _DifferenceTp _DifferenceType;
+      typedef typename std::iterator_traits<_RAIterIterator>
+       ::difference_type _SeqNumber;
+      typedef typename std::iterator_traits<_RAIterIterator>
+       ::value_type::first_type
+       _RAIter1;
+      typedef typename std::iterator_traits<_RAIter1>::value_type
+       _ValueType;
+
+#if _GLIBCXX_ASSERTIONS
+      for (_RAIterIterator __s = __seqs_begin; __s != __seqs_end; ++__s)
+       {
+          _GLIBCXX_PARALLEL_ASSERT(__is_sorted((*__s).first,
+                                              (*__s).second, __comp));
+       }
+#endif
+
+      _DifferenceTp __total_length = 0;
+      for (_RAIterIterator __s = __seqs_begin; __s != __seqs_end; ++__s)
+       __total_length += _GLIBCXX_PARALLEL_LENGTH(*__s);
+
+      __length = std::min<_DifferenceTp>(__length, __total_length);
+
+      if(__length == 0)
+       return __target;
+
+      _RAIter3 __return_target = __target;
+      _SeqNumber __k = static_cast<_SeqNumber>(__seqs_end - __seqs_begin);
+
+      switch (__k)
+       {
+       case 0:
+          break;
+       case 1:
+          __return_target = std::copy(__seqs_begin[0].first,
+                                     __seqs_begin[0].first + __length,
+                                     __target);
+          __seqs_begin[0].first += __length;
+          break;
+       case 2:
+          __return_target = __merge_advance(__seqs_begin[0].first,
+                                           __seqs_begin[0].second,
+                                           __seqs_begin[1].first,
+                                           __seqs_begin[1].second,
+                                           __target, __length, __comp);
+          break;
+       case 3:
+          __return_target = __multiway_merge_3_variant_sentinel_switch
+           <__sentinels, _RAIterIterator, _RAIter3, _DifferenceTp, _Compare>()
+           (__seqs_begin, __seqs_end, __target, __length, __comp);
+          break;
+       case 4:
+          __return_target = __multiway_merge_4_variant_sentinel_switch
+           <__sentinels, _RAIterIterator, _RAIter3, _DifferenceTp, _Compare>()
+           (__seqs_begin, __seqs_end, __target, __length, __comp);
+          break;
+       default:
+         __return_target = __multiway_merge_k_variant_sentinel_switch
+           <__sentinels, __stable, _RAIterIterator, _RAIter3, _DifferenceTp,
+            _Compare>()
+           (__seqs_begin, __seqs_end, __target, __sentinel, __length, __comp);
+         break;
+       }
+#if _GLIBCXX_ASSERTIONS
+      _GLIBCXX_PARALLEL_ASSERT(
+       __is_sorted(__target, __target + __length, __comp));
+#endif
+
+      return __return_target;
+    }
+
+  /**
+   * @brief Stable sorting functor.
+   *
+   * Used to reduce code instanciation in multiway_merge_sampling_splitting.
+   */
+  template<bool __stable, class _RAIter, class _StrictWeakOrdering>
+    struct _SamplingSorter
+    {
+      void
+      operator()(_RAIter __first, _RAIter __last, _StrictWeakOrdering __comp)
+      { __gnu_sequential::stable_sort(__first, __last, __comp); }
+    };
+
+  /**
+   * @brief Non-__stable sorting functor.
+   *
+   * Used to reduce code instantiation in multiway_merge_sampling_splitting.
+   */
+  template<class _RAIter, class _StrictWeakOrdering>
+    struct _SamplingSorter<false, _RAIter, _StrictWeakOrdering>
+    {
+      void
+      operator()(_RAIter __first, _RAIter __last, _StrictWeakOrdering __comp)
+      { __gnu_sequential::sort(__first, __last, __comp); }
+    };
+
+  /**
+   * @brief Sampling based splitting for parallel multiway-merge routine.
+   */
+  template<bool __stable,
+          typename _RAIterIterator,
+          typename _Compare,
+          typename _DifferenceType>
+    void
+    multiway_merge_sampling_splitting(_RAIterIterator __seqs_begin,
+                                     _RAIterIterator __seqs_end,
+                                     _DifferenceType __length,
+                                     _DifferenceType __total_length,
+                                     _Compare __comp,
+     std::vector<std::pair<_DifferenceType, _DifferenceType> > *__pieces)
+    {
+      typedef typename std::iterator_traits<_RAIterIterator>
+       ::difference_type _SeqNumber;
+      typedef typename std::iterator_traits<_RAIterIterator>
+       ::value_type::first_type
+       _RAIter1;
+      typedef typename std::iterator_traits<_RAIter1>::value_type
+       _ValueType;
+
+      // __k sequences.
+      const _SeqNumber __k
+       = static_cast<_SeqNumber>(__seqs_end - __seqs_begin);
+
+      const _ThreadIndex __num_threads = omp_get_num_threads();
+
+      const _DifferenceType __num_samples =
+       __gnu_parallel::_Settings::get().merge_oversampling * __num_threads;
+
+      _ValueType* __samples = static_cast<_ValueType*>
+       (::operator new(sizeof(_ValueType) * __k * __num_samples));
+      // Sample.
+      for (_SeqNumber __s = 0; __s < __k; ++__s)
+       for (_DifferenceType __i = 0; __i < __num_samples; ++__i)
+         {
+           _DifferenceType sample_index = static_cast<_DifferenceType>
+             (_GLIBCXX_PARALLEL_LENGTH(__seqs_begin[__s])
+              * (double(__i + 1) / (__num_samples + 1))
+              * (double(__length) / __total_length));
+           new(&(__samples[__s * __num_samples + __i]))
+              _ValueType(__seqs_begin[__s].first[sample_index]);
+         }
+
+      // Sort stable or non-stable, depending on value of template parameter
+      // "__stable".
+      _SamplingSorter<__stable, _ValueType*, _Compare>()
+       (__samples, __samples + (__num_samples * __k), __comp);
+
+      for (_ThreadIndex __slab = 0; __slab < __num_threads; ++__slab)
+       // For each slab / processor.
+       for (_SeqNumber __seq = 0; __seq < __k; ++__seq)
+         {
+           // For each sequence.
+           if (__slab > 0)
+             __pieces[__slab][__seq].first = std::upper_bound
+               (__seqs_begin[__seq].first, __seqs_begin[__seq].second,
+                __samples[__num_samples * __k * __slab / __num_threads],
+                __comp)
+               - __seqs_begin[__seq].first;
+           else
+             // Absolute beginning.
+             __pieces[__slab][__seq].first = 0;
+           if ((__slab + 1) < __num_threads)
+             __pieces[__slab][__seq].second = std::upper_bound
+               (__seqs_begin[__seq].first, __seqs_begin[__seq].second,
+                __samples[__num_samples * __k * (__slab + 1) / __num_threads],
+                __comp)
+               - __seqs_begin[__seq].first;
+           else
+              // Absolute end.
+             __pieces[__slab][__seq].second =
+               _GLIBCXX_PARALLEL_LENGTH(__seqs_begin[__seq]);
+         }
+
+      for (_SeqNumber __s = 0; __s < __k; ++__s)
+       for (_DifferenceType __i = 0; __i < __num_samples; ++__i)
+         __samples[__s * __num_samples + __i].~_ValueType();
+      ::operator delete(__samples);
+    }
+
+  /**
+   * @brief Exact splitting for parallel multiway-merge routine.
+   *
+   * None of the passed sequences may be empty.
+   */
+  template<bool __stable,
+          typename _RAIterIterator,
+          typename _Compare,
+          typename _DifferenceType>
+    void
+    multiway_merge_exact_splitting(_RAIterIterator __seqs_begin,
+                                  _RAIterIterator __seqs_end,
+                                  _DifferenceType __length,
+                                  _DifferenceType __total_length,
+                                  _Compare __comp,
+       std::vector<std::pair<_DifferenceType, _DifferenceType> > *__pieces)
+    {
+      typedef typename std::iterator_traits<_RAIterIterator>
+       ::difference_type _SeqNumber;
+      typedef typename std::iterator_traits<_RAIterIterator>
+       ::value_type::first_type
+       _RAIter1;
+
+      const bool __tight = (__total_length == __length);
+
+      // __k sequences.
+      const _SeqNumber __k = __seqs_end - __seqs_begin;
+
+      const _ThreadIndex __num_threads = omp_get_num_threads();
+
+      // (Settings::multiway_merge_splitting
+      //  == __gnu_parallel::_Settings::EXACT).
+      std::vector<_RAIter1>* __offsets = 
+       new std::vector<_RAIter1>[__num_threads];
+      std::vector<std::pair<_RAIter1, _RAIter1> > __se(__k);
+
+      copy(__seqs_begin, __seqs_end, __se.begin());
+
+      _DifferenceType* __borders =
+       new _DifferenceType[__num_threads + 1];
+      __equally_split(__length, __num_threads, __borders);
+
+      for (_ThreadIndex __s = 0; __s < (__num_threads - 1); ++__s)
+       {
+         __offsets[__s].resize(__k);
+         multiseq_partition(__se.begin(), __se.end(), __borders[__s + 1],
+                            __offsets[__s].begin(), __comp);
+
+         // Last one also needed and available.
+         if (!__tight)
+           {
+             __offsets[__num_threads - 1].resize(__k);
+             multiseq_partition(__se.begin(), __se.end(),
+                                _DifferenceType(__length),
+                                __offsets[__num_threads - 1].begin(),
+                                __comp);
+           }
+       }
+      delete[] __borders;
+
+      for (_ThreadIndex __slab = 0; __slab < __num_threads; ++__slab)
+       {
+         // For each slab / processor.
+         for (_SeqNumber __seq = 0; __seq < __k; ++__seq)
+           {
+             // For each sequence.
+             if (__slab == 0)
+               {
+                 // Absolute beginning.
+                 __pieces[__slab][__seq].first = 0;
+               }
+             else
+               __pieces[__slab][__seq].first =
+                 __pieces[__slab - 1][__seq].second;
+             if (!__tight || __slab < (__num_threads - 1))
+               __pieces[__slab][__seq].second =
+                 __offsets[__slab][__seq] - __seqs_begin[__seq].first;
+             else
+               {
+                 // __slab == __num_threads - 1
+                 __pieces[__slab][__seq].second =
+                    _GLIBCXX_PARALLEL_LENGTH(__seqs_begin[__seq]);
+               }
+           }
+       }
+      delete[] __offsets;
+    }
+
+  /** @brief Parallel multi-way merge routine.
+   *
+   * The _GLIBCXX_PARALLEL_DECISION is based on the branching factor
+   * and runtime settings.
+   *
+   * Must not be called if the number of sequences is 1.
+   *
+   * @tparam _Splitter functor to split input (either __exact or sampling based)
+   * @tparam __stable Stable merging incurs a performance penalty.
+   * @tparam __sentinel Ignored.
+   *
+   * @param __seqs_begin Begin iterator of iterator pair input sequence.
+   * @param __seqs_end End iterator of iterator pair input sequence.
+   * @param __target Begin iterator of output sequence.
+   * @param __comp Comparator.
+   * @param __length Maximum length to merge, possibly larger than the
+   * number of elements available.
+   * @return End iterator of output sequence.
+   */
+  template<bool __stable,
+          bool __sentinels,
+          typename _RAIterIterator,
+          typename _RAIter3,
+          typename _DifferenceTp,
+          typename _Splitter,
+          typename _Compare>
+    _RAIter3
+    parallel_multiway_merge(_RAIterIterator __seqs_begin,
+                            _RAIterIterator __seqs_end,
+                            _RAIter3 __target,
+                            _Splitter __splitter,
+                            _DifferenceTp __length,
+                            _Compare __comp,
+                            _ThreadIndex __num_threads)
+      {
+#if _GLIBCXX_ASSERTIONS
+       _GLIBCXX_PARALLEL_ASSERT(__seqs_end - __seqs_begin > 1);
+#endif
+
+       _GLIBCXX_CALL(__length)
+
+       typedef _DifferenceTp _DifferenceType;
+        typedef typename std::iterator_traits<_RAIterIterator>
+         ::difference_type _SeqNumber;
+       typedef typename std::iterator_traits<_RAIterIterator>
+          ::value_type::first_type
+          _RAIter1;
+       typedef typename
+          std::iterator_traits<_RAIter1>::value_type _ValueType;
+
+       // Leave only non-empty sequences.
+       typedef std::pair<_RAIter1, _RAIter1> seq_type;
+       seq_type* __ne_seqs = new seq_type[__seqs_end - __seqs_begin];
+       _SeqNumber __k = 0;
+       _DifferenceType __total_length = 0;
+       for (_RAIterIterator __raii = __seqs_begin;
+             __raii != __seqs_end; ++__raii)
+          {
+            _DifferenceTp __seq_length = _GLIBCXX_PARALLEL_LENGTH(*__raii);
+            if(__seq_length > 0)
+              {
+               __total_length += __seq_length;
+               __ne_seqs[__k++] = *__raii;
+              }
+          }
+
+       _GLIBCXX_CALL(__total_length)
+
+       __length = std::min<_DifferenceTp>(__length, __total_length);
+
+       if (__total_length == 0 || __k == 0)
+         {
+           delete[] __ne_seqs;
+           return __target;
+         }
+
+       std::vector<std::pair<_DifferenceType, _DifferenceType> >* __pieces;
+
+       __num_threads = static_cast<_ThreadIndex>
+          (std::min<_DifferenceType>(__num_threads, __total_length));
+
+#       pragma omp parallel num_threads (__num_threads)
+       {
+#         pragma omp single
+         {
+           __num_threads = omp_get_num_threads();
+           // Thread __t will have to merge pieces[__iam][0..__k - 1]
+           __pieces = new std::vector<
+           std::pair<_DifferenceType, _DifferenceType> >[__num_threads];
+           for (_ThreadIndex __s = 0; __s < __num_threads; ++__s)
+             __pieces[__s].resize(__k);
+
+           _DifferenceType __num_samples =
+             __gnu_parallel::_Settings::get().merge_oversampling
+             * __num_threads;
+
+           __splitter(__ne_seqs, __ne_seqs + __k, __length, __total_length,
+                      __comp, __pieces);
+         } //single
+
+         _ThreadIndex __iam = omp_get_thread_num();
+
+         _DifferenceType __target_position = 0;
+
+         for (_SeqNumber __c = 0; __c < __k; ++__c)
+           __target_position += __pieces[__iam][__c].first;
+
+         seq_type* __chunks = new seq_type[__k];
+
+         for (_SeqNumber __s = 0; __s < __k; ++__s)
+           __chunks[__s] = std::make_pair(__ne_seqs[__s].first
+                                          + __pieces[__iam][__s].first,
+                                          __ne_seqs[__s].first
+                                          + __pieces[__iam][__s].second);
+
+         if(__length > __target_position)
+           __sequential_multiway_merge<__stable, __sentinels>
+             (__chunks, __chunks + __k, __target + __target_position,
+              *(__seqs_begin->second), __length - __target_position, __comp);
+
+         delete[] __chunks;
+       } // parallel
+
+#if _GLIBCXX_ASSERTIONS
+       _GLIBCXX_PARALLEL_ASSERT(
+          __is_sorted(__target, __target + __length, __comp));
+#endif
+
+       __k = 0;
+       // Update ends of sequences.
+       for (_RAIterIterator __raii = __seqs_begin;
+             __raii != __seqs_end; ++__raii)
+          {
+            _DifferenceTp __length = _GLIBCXX_PARALLEL_LENGTH(*__raii);
+            if(__length > 0)
+              (*__raii).first += __pieces[__num_threads - 1][__k++].second;
+          }
+
+       delete[] __pieces;
+       delete[] __ne_seqs;
+
+       return __target + __length;
+      }
+
+  /**
+   * @brief Multiway Merge Frontend.
+   *
+   * Merge the sequences specified by seqs_begin and __seqs_end into
+   * __target.  __seqs_begin and __seqs_end must point to a sequence of
+   * pairs.  These pairs must contain an iterator to the beginning
+   * of a sequence in their first entry and an iterator the _M_end of
+   * the same sequence in their second entry.
+   *
+   * Ties are broken arbitrarily.  See stable_multiway_merge for a variant
+   * that breaks ties by sequence number but is slower.
+   *
+   * The first entries of the pairs (i.e. the begin iterators) will be moved
+   * forward.
+   *
+   * The output sequence has to provide enough space for all elements
+   * that are written to it.
+   *
+   * This function will merge the input sequences:
+   *
+   * - not stable
+   * - parallel, depending on the input size and Settings
+   * - using sampling for splitting
+   * - not using sentinels
+   *
+   * Example:
+   *
+   * <pre>
+   *   int sequences[10][10];
+   *   for (int __i = 0; __i < 10; ++__i)
+   *     for (int __j = 0; __i < 10; ++__j)
+   *       sequences[__i][__j] = __j;
+   *
+   *   int __out[33];
+   *   std::vector<std::pair<int*> > seqs;
+   *   for (int __i = 0; __i < 10; ++__i)
+   *     { seqs.push(std::make_pair<int*>(sequences[__i],
+   *                                      sequences[__i] + 10)) }
+   *
+   *   multiway_merge(seqs.begin(), seqs.end(), __target, std::less<int>(), 33);
+   * </pre>
+   *
+   * @see stable_multiway_merge
+   *
+   * @pre All input sequences must be sorted.
+   * @pre Target must provide enough space to merge out length elements or
+   *    the number of elements in all sequences, whichever is smaller.
+   *
+   * @post [__target, return __value) contains merged __elements from the
+   *    input sequences.
+   * @post return __value - __target = min(__length, number of elements in all
+   *    sequences).
+   *
+   * @tparam _RAIterPairIterator iterator over sequence
+   *    of pairs of iterators
+   * @tparam _RAIterOut iterator over target sequence
+   * @tparam _DifferenceTp difference type for the sequence
+   * @tparam _Compare strict weak ordering type to compare elements
+   *    in sequences
+   *
+   * @param __seqs_begin  __begin of sequence __sequence
+   * @param __seqs_end    _M_end of sequence __sequence
+   * @param __target      target sequence to merge to.
+   * @param __comp        strict weak ordering to use for element comparison.
+   * @param __length Maximum length to merge, possibly larger than the
+   * number of elements available.
+   *
+   * @return _M_end iterator of output sequence
+   */
+  // multiway_merge
+  // public interface
+  template<typename _RAIterPairIterator,
+          typename _RAIterOut,
+          typename _DifferenceTp,
+          typename _Compare>
+    _RAIterOut
+    multiway_merge(_RAIterPairIterator __seqs_begin,
+                  _RAIterPairIterator __seqs_end,
+                  _RAIterOut __target,
+                  _DifferenceTp __length, _Compare __comp,
+                  __gnu_parallel::sequential_tag)
+    {
+      typedef _DifferenceTp _DifferenceType;
+      _GLIBCXX_CALL(__seqs_end - __seqs_begin)
+
+      // catch special case: no sequences
+      if (__seqs_begin == __seqs_end)
+       return __target;
+
+      // Execute multiway merge *sequentially*.
+      return __sequential_multiway_merge
+       </* __stable = */ false, /* __sentinels = */ false>
+       (__seqs_begin, __seqs_end, __target,
+        *(__seqs_begin->second), __length, __comp);
+    }
+
+  // public interface
+  template<typename _RAIterPairIterator,
+          typename _RAIterOut,
+          typename _DifferenceTp,
+          typename _Compare>
+    _RAIterOut
+    multiway_merge(_RAIterPairIterator __seqs_begin,
+                  _RAIterPairIterator __seqs_end,
+                  _RAIterOut __target,
+                  _DifferenceTp __length, _Compare __comp,
+                  __gnu_parallel::exact_tag __tag)
+    {
+      typedef _DifferenceTp _DifferenceType;
+      _GLIBCXX_CALL(__seqs_end - __seqs_begin)
+
+      // catch special case: no sequences
+      if (__seqs_begin == __seqs_end)
+       return __target;
+
+      // Execute merge; maybe parallel, depending on the number of merged
+      // elements and the number of sequences and global thresholds in
+      // Settings.
+      if ((__seqs_end - __seqs_begin > 1)
+         && _GLIBCXX_PARALLEL_CONDITION(
+            ((__seqs_end - __seqs_begin) >=
+               __gnu_parallel::_Settings::get().multiway_merge_minimal_k)
+            && ((_SequenceIndex)__length >=
+              __gnu_parallel::_Settings::get().multiway_merge_minimal_n)))
+       return parallel_multiway_merge
+         </* __stable = */ false, /* __sentinels = */ false>
+         (__seqs_begin, __seqs_end, __target,
+          multiway_merge_exact_splitting</* __stable = */ false,
+          typename std::iterator_traits<_RAIterPairIterator>
+          ::value_type*, _Compare, _DifferenceTp>,
+          static_cast<_DifferenceType>(__length), __comp,
+          __tag.__get_num_threads());
+      else
+       return __sequential_multiway_merge
+         </* __stable = */ false, /* __sentinels = */ false>
+         (__seqs_begin, __seqs_end, __target,
+          *(__seqs_begin->second), __length, __comp);
+    }
+
+  // public interface
+  template<typename _RAIterPairIterator,
+          typename _RAIterOut,
+          typename _DifferenceTp,
+          typename _Compare>
+    _RAIterOut
+    multiway_merge(_RAIterPairIterator __seqs_begin,
+                  _RAIterPairIterator __seqs_end,
+                  _RAIterOut __target,
+                  _DifferenceTp __length, _Compare __comp,
+                  __gnu_parallel::sampling_tag __tag)
+    {
+      typedef _DifferenceTp _DifferenceType;
+      _GLIBCXX_CALL(__seqs_end - __seqs_begin)
+
+      // catch special case: no sequences
+      if (__seqs_begin == __seqs_end)
+       return __target;
+
+      // Execute merge; maybe parallel, depending on the number of merged
+      // elements and the number of sequences and global thresholds in
+      // Settings.
+      if ((__seqs_end - __seqs_begin > 1)
+         && _GLIBCXX_PARALLEL_CONDITION(
+            ((__seqs_end - __seqs_begin) >=
+               __gnu_parallel::_Settings::get().multiway_merge_minimal_k)
+            && ((_SequenceIndex)__length >=
+              __gnu_parallel::_Settings::get().multiway_merge_minimal_n)))
+       return parallel_multiway_merge
+         </* __stable = */ false, /* __sentinels = */ false>
+         (__seqs_begin, __seqs_end, __target,
+          multiway_merge_exact_splitting</* __stable = */ false,
+          typename std::iterator_traits<_RAIterPairIterator>
+          ::value_type*, _Compare, _DifferenceTp>,
+          static_cast<_DifferenceType>(__length), __comp,
+          __tag.__get_num_threads());
+      else
+       return __sequential_multiway_merge
+         </* __stable = */ false, /* __sentinels = */ false>
+         (__seqs_begin, __seqs_end, __target,
+          *(__seqs_begin->second), __length, __comp);
+    }
+
+  // public interface
+  template<typename _RAIterPairIterator,
+          typename _RAIterOut,
+          typename _DifferenceTp,
+          typename _Compare>
+    _RAIterOut
+    multiway_merge(_RAIterPairIterator __seqs_begin,
+                  _RAIterPairIterator __seqs_end,
+                  _RAIterOut __target,
+                  _DifferenceTp __length, _Compare __comp,
+                  parallel_tag __tag = parallel_tag(0))
+    { return multiway_merge(__seqs_begin, __seqs_end, __target, __length,
+                           __comp, exact_tag(__tag.__get_num_threads())); }
+
+  // public interface
+  template<typename _RAIterPairIterator,
+          typename _RAIterOut,
+          typename _DifferenceTp,
+          typename _Compare>
+    _RAIterOut
+    multiway_merge(_RAIterPairIterator __seqs_begin,
+                  _RAIterPairIterator __seqs_end,
+                  _RAIterOut __target,
+                  _DifferenceTp __length, _Compare __comp,
+                  default_parallel_tag __tag)
+    { return multiway_merge(__seqs_begin, __seqs_end, __target, __length,
+                           __comp, exact_tag(__tag.__get_num_threads())); }
+
+  // stable_multiway_merge
+  // public interface
+  template<typename _RAIterPairIterator,
+          typename _RAIterOut,
+          typename _DifferenceTp,
+          typename _Compare>
+    _RAIterOut
+    stable_multiway_merge(_RAIterPairIterator __seqs_begin,
+                         _RAIterPairIterator __seqs_end,
+                         _RAIterOut __target,
+                         _DifferenceTp __length, _Compare __comp,
+                         __gnu_parallel::sequential_tag)
+    {
+      typedef _DifferenceTp _DifferenceType;
+      _GLIBCXX_CALL(__seqs_end - __seqs_begin)
+
+      // catch special case: no sequences
+      if (__seqs_begin == __seqs_end)
+       return __target;
+
+      // Execute multiway merge *sequentially*.
+      return __sequential_multiway_merge
+       </* __stable = */ true, /* __sentinels = */ false>
+          (__seqs_begin, __seqs_end, __target,
+          *(__seqs_begin->second), __length, __comp);
+    }
+
+  // public interface
+  template<typename _RAIterPairIterator,
+          typename _RAIterOut,
+          typename _DifferenceTp,
+          typename _Compare>
+    _RAIterOut
+    stable_multiway_merge(_RAIterPairIterator __seqs_begin,
+                         _RAIterPairIterator __seqs_end,
+                         _RAIterOut __target,
+                         _DifferenceTp __length, _Compare __comp,
+                         __gnu_parallel::exact_tag __tag)
+    {
+      typedef _DifferenceTp _DifferenceType;
+      _GLIBCXX_CALL(__seqs_end - __seqs_begin)
+
+      // catch special case: no sequences
+      if (__seqs_begin == __seqs_end)
+       return __target;
+
+      // Execute merge; maybe parallel, depending on the number of merged
+      // elements and the number of sequences and global thresholds in
+      // Settings.
+      if ((__seqs_end - __seqs_begin > 1)
+         && _GLIBCXX_PARALLEL_CONDITION(
+            ((__seqs_end - __seqs_begin) >=
+              __gnu_parallel::_Settings::get().multiway_merge_minimal_k)
+            && ((_SequenceIndex)__length >=
+              __gnu_parallel::_Settings::get().multiway_merge_minimal_n)))
+       return parallel_multiway_merge
+          </* __stable = */ true, /* __sentinels = */ false>
+         (__seqs_begin, __seqs_end, __target,
+          multiway_merge_exact_splitting</* __stable = */ true,
+          typename std::iterator_traits<_RAIterPairIterator>
+          ::value_type*, _Compare, _DifferenceTp>,
+          static_cast<_DifferenceType>(__length), __comp,
+          __tag.__get_num_threads());
+      else
+       return __sequential_multiway_merge
+         </* __stable = */ true, /* __sentinels = */ false>
+         (__seqs_begin, __seqs_end, __target,
+          *(__seqs_begin->second), __length, __comp);
+    }
+
+  // public interface
+  template<typename _RAIterPairIterator,
+          typename _RAIterOut,
+          typename _DifferenceTp,
+          typename _Compare>
+    _RAIterOut
+    stable_multiway_merge(_RAIterPairIterator __seqs_begin,
+                         _RAIterPairIterator __seqs_end,
+                         _RAIterOut __target,
+                         _DifferenceTp __length, _Compare __comp,
+                         sampling_tag __tag)
+    {
+      typedef _DifferenceTp _DifferenceType;
+      _GLIBCXX_CALL(__seqs_end - __seqs_begin)
+
+      // catch special case: no sequences
+      if (__seqs_begin == __seqs_end)
+       return __target;
+
+      // Execute merge; maybe parallel, depending on the number of merged
+      // elements and the number of sequences and global thresholds in
+      // Settings.
+      if ((__seqs_end - __seqs_begin > 1)
+         && _GLIBCXX_PARALLEL_CONDITION(
+            ((__seqs_end - __seqs_begin) >=
+              __gnu_parallel::_Settings::get().multiway_merge_minimal_k)
+            && ((_SequenceIndex)__length >=
+              __gnu_parallel::_Settings::get().multiway_merge_minimal_n)))
+       return parallel_multiway_merge
+          </* __stable = */ true, /* __sentinels = */ false>
+         (__seqs_begin, __seqs_end, __target,
+          multiway_merge_sampling_splitting</* __stable = */ true,
+          typename std::iterator_traits<_RAIterPairIterator>
+          ::value_type*, _Compare, _DifferenceTp>,
+          static_cast<_DifferenceType>(__length), __comp,
+          __tag.__get_num_threads());
+      else
+       return __sequential_multiway_merge
+          </* __stable = */ true, /* __sentinels = */ false>
+         (__seqs_begin, __seqs_end, __target,
+          *(__seqs_begin->second), __length, __comp);
+    }
+
+  // public interface
+  template<typename _RAIterPairIterator,
+          typename _RAIterOut,
+          typename _DifferenceTp,
+          typename _Compare>
+    _RAIterOut
+    stable_multiway_merge(_RAIterPairIterator __seqs_begin,
+                         _RAIterPairIterator __seqs_end,
+                         _RAIterOut __target,
+                         _DifferenceTp __length, _Compare __comp,
+                         parallel_tag __tag = parallel_tag(0))
+    {
+      return stable_multiway_merge
+       (__seqs_begin, __seqs_end, __target, __length, __comp,
+        exact_tag(__tag.__get_num_threads()));
+    }
+
+  // public interface
+  template<typename _RAIterPairIterator,
+          typename _RAIterOut,
+          typename _DifferenceTp,
+          typename _Compare>
+    _RAIterOut
+    stable_multiway_merge(_RAIterPairIterator __seqs_begin,
+                         _RAIterPairIterator __seqs_end,
+                         _RAIterOut __target,
+                         _DifferenceTp __length, _Compare __comp,
+                         default_parallel_tag __tag)
+    {
+      return stable_multiway_merge
+       (__seqs_begin, __seqs_end, __target, __length, __comp,
+        exact_tag(__tag.__get_num_threads()));
+    }
+
+  /**
+   * @brief Multiway Merge Frontend.
+   *
+   * Merge the sequences specified by seqs_begin and __seqs_end into
+   * __target.  __seqs_begin and __seqs_end must point to a sequence of
+   * pairs.  These pairs must contain an iterator to the beginning
+   * of a sequence in their first entry and an iterator the _M_end of
+   * the same sequence in their second entry.
+   *
+   * Ties are broken arbitrarily.  See stable_multiway_merge for a variant
+   * that breaks ties by sequence number but is slower.
+   *
+   * The first entries of the pairs (i.e. the begin iterators) will be moved
+   * forward accordingly.
+   *
+   * The output sequence has to provide enough space for all elements
+   * that are written to it.
+   *
+   * This function will merge the input sequences:
+   *
+   * - not stable
+   * - parallel, depending on the input size and Settings
+   * - using sampling for splitting
+   * - using sentinels
+   *
+   * You have to take care that the element the _M_end iterator points to is
+   * readable and contains a value that is greater than any other non-sentinel
+   * value in all sequences.
+   *
+   * Example:
+   *
+   * <pre>
+   *   int sequences[10][11];
+   *   for (int __i = 0; __i < 10; ++__i)
+   *     for (int __j = 0; __i < 11; ++__j)
+   *       sequences[__i][__j] = __j; // __last one is sentinel!
+   *
+   *   int __out[33];
+   *   std::vector<std::pair<int*> > seqs;
+   *   for (int __i = 0; __i < 10; ++__i)
+   *     { seqs.push(std::make_pair<int*>(sequences[__i],
+   *                                      sequences[__i] + 10)) }
+   *
+   *   multiway_merge(seqs.begin(), seqs.end(), __target, std::less<int>(), 33);
+   * </pre>
+   *
+   * @pre All input sequences must be sorted.
+   * @pre Target must provide enough space to merge out length elements or
+   *    the number of elements in all sequences, whichever is smaller.
+   * @pre For each @c __i, @c __seqs_begin[__i].second must be the end
+   *    marker of the sequence, but also reference the one more __sentinel
+   *    element.
+   *
+   * @post [__target, return __value) contains merged __elements from the
+   *    input sequences.
+   * @post return __value - __target = min(__length, number of elements in all
+   *    sequences).
+   *
+   * @see stable_multiway_merge_sentinels
+   *
+   * @tparam _RAIterPairIterator iterator over sequence
+   *    of pairs of iterators
+   * @tparam _RAIterOut iterator over target sequence
+   * @tparam _DifferenceTp difference type for the sequence
+   * @tparam _Compare strict weak ordering type to compare elements
+   *    in sequences
+   *
+   * @param __seqs_begin  __begin of sequence __sequence
+   * @param __seqs_end    _M_end of sequence __sequence
+   * @param __target      target sequence to merge to.
+   * @param __comp        strict weak ordering to use for element comparison.
+   * @param __length Maximum length to merge, possibly larger than the
+   * number of elements available.
+   *
+   * @return _M_end iterator of output sequence
+   */
+  // multiway_merge_sentinels
+  // public interface
+  template<typename _RAIterPairIterator,
+          typename _RAIterOut,
+          typename _DifferenceTp,
+          typename _Compare>
+    _RAIterOut
+    multiway_merge_sentinels(_RAIterPairIterator __seqs_begin,
+                            _RAIterPairIterator __seqs_end,
+                            _RAIterOut __target,
+                            _DifferenceTp __length, _Compare __comp,
+                            __gnu_parallel::sequential_tag)
+    {
+      typedef _DifferenceTp _DifferenceType;
+      _GLIBCXX_CALL(__seqs_end - __seqs_begin)
+
+      // catch special case: no sequences
+      if (__seqs_begin == __seqs_end)
+       return __target;
+
+      // Execute multiway merge *sequentially*.
+      return __sequential_multiway_merge
+       </* __stable = */ false, /* __sentinels = */ true>
+          (__seqs_begin, __seqs_end,
+           __target, *(__seqs_begin->second), __length, __comp);
+    }
+
+  // public interface
+  template<typename _RAIterPairIterator,
+          typename _RAIterOut,
+          typename _DifferenceTp,
+          typename _Compare>
+    _RAIterOut
+    multiway_merge_sentinels(_RAIterPairIterator __seqs_begin,
+                            _RAIterPairIterator __seqs_end,
+                            _RAIterOut __target,
+                            _DifferenceTp __length, _Compare __comp,
+                            __gnu_parallel::exact_tag __tag)
+    {
+      typedef _DifferenceTp _DifferenceType;
+      _GLIBCXX_CALL(__seqs_end - __seqs_begin)
+
+      // catch special case: no sequences
+      if (__seqs_begin == __seqs_end)
+       return __target;
+
+      // Execute merge; maybe parallel, depending on the number of merged
+      // elements and the number of sequences and global thresholds in
+      // Settings.
+      if ((__seqs_end - __seqs_begin > 1)
+         && _GLIBCXX_PARALLEL_CONDITION(
+            ((__seqs_end - __seqs_begin) >=
+              __gnu_parallel::_Settings::get().multiway_merge_minimal_k)
+            && ((_SequenceIndex)__length >=
+              __gnu_parallel::_Settings::get().multiway_merge_minimal_n)))
+       return parallel_multiway_merge
+          </* __stable = */ false, /* __sentinels = */ true>
+         (__seqs_begin, __seqs_end, __target,
+          multiway_merge_exact_splitting</* __stable = */ false,
+          typename std::iterator_traits<_RAIterPairIterator>
+          ::value_type*, _Compare, _DifferenceTp>,
+          static_cast<_DifferenceType>(__length), __comp,
+          __tag.__get_num_threads());
+      else
+       return __sequential_multiway_merge
+          </* __stable = */ false, /* __sentinels = */ true>
+         (__seqs_begin, __seqs_end, __target,
+          *(__seqs_begin->second), __length, __comp);
+    }
+
+  // public interface
+  template<typename _RAIterPairIterator,
+          typename _RAIterOut,
+          typename _DifferenceTp,
+          typename _Compare>
+    _RAIterOut
+    multiway_merge_sentinels(_RAIterPairIterator __seqs_begin,
+                            _RAIterPairIterator __seqs_end,
+                            _RAIterOut __target,
+                            _DifferenceTp __length, _Compare __comp,
+                            sampling_tag __tag)
+    {
+      typedef _DifferenceTp _DifferenceType;
+      _GLIBCXX_CALL(__seqs_end - __seqs_begin)
+
+      // catch special case: no sequences
+      if (__seqs_begin == __seqs_end)
+       return __target;
+
+      // Execute merge; maybe parallel, depending on the number of merged
+      // elements and the number of sequences and global thresholds in
+      // Settings.
+      if ((__seqs_end - __seqs_begin > 1)
+         && _GLIBCXX_PARALLEL_CONDITION(
+            ((__seqs_end - __seqs_begin) >=
+              __gnu_parallel::_Settings::get().multiway_merge_minimal_k)
+            && ((_SequenceIndex)__length >=
+              __gnu_parallel::_Settings::get().multiway_merge_minimal_n)))
+       return parallel_multiway_merge
+          </* __stable = */ false, /* __sentinels = */ true>
+         (__seqs_begin, __seqs_end, __target,
+          multiway_merge_sampling_splitting</* __stable = */ false,
+          typename std::iterator_traits<_RAIterPairIterator>
+          ::value_type*, _Compare, _DifferenceTp>,
+          static_cast<_DifferenceType>(__length), __comp,
+          __tag.__get_num_threads());
+      else
+       return __sequential_multiway_merge
+          </* __stable = */false, /* __sentinels = */ true>(
+            __seqs_begin, __seqs_end, __target,
+           *(__seqs_begin->second), __length, __comp);
+    }
+
+  // public interface
+  template<typename _RAIterPairIterator,
+          typename _RAIterOut,
+          typename _DifferenceTp,
+          typename _Compare>
+    _RAIterOut
+    multiway_merge_sentinels(_RAIterPairIterator __seqs_begin,
+                            _RAIterPairIterator __seqs_end,
+                            _RAIterOut __target,
+                            _DifferenceTp __length, _Compare __comp,
+                            parallel_tag __tag = parallel_tag(0))
+    {
+      return multiway_merge_sentinels
+       (__seqs_begin, __seqs_end, __target, __length, __comp,
+        exact_tag(__tag.__get_num_threads()));
+    }
+
+  // public interface
+  template<typename _RAIterPairIterator,
+          typename _RAIterOut,
+          typename _DifferenceTp,
+          typename _Compare>
+    _RAIterOut
+    multiway_merge_sentinels(_RAIterPairIterator __seqs_begin,
+                            _RAIterPairIterator __seqs_end,
+                            _RAIterOut __target,
+                            _DifferenceTp __length, _Compare __comp,
+                            default_parallel_tag __tag)
+    {
+      return multiway_merge_sentinels
+       (__seqs_begin, __seqs_end, __target, __length, __comp,
+        exact_tag(__tag.__get_num_threads()));
+    }
+
+  // stable_multiway_merge_sentinels
+  // public interface
+  template<typename _RAIterPairIterator,
+          typename _RAIterOut,
+          typename _DifferenceTp,
+          typename _Compare>
+    _RAIterOut
+    stable_multiway_merge_sentinels(_RAIterPairIterator __seqs_begin,
+                                   _RAIterPairIterator __seqs_end,
+                                   _RAIterOut __target,
+                                   _DifferenceTp __length, _Compare __comp,
+                                   __gnu_parallel::sequential_tag)
+    {
+      typedef _DifferenceTp _DifferenceType;
+      _GLIBCXX_CALL(__seqs_end - __seqs_begin)
+
+      // catch special case: no sequences
+      if (__seqs_begin == __seqs_end)
+       return __target;
+
+      // Execute multiway merge *sequentially*.
+      return __sequential_multiway_merge
+       </* __stable = */ true, /* __sentinels = */ true>
+       (__seqs_begin, __seqs_end, __target,
+        *(__seqs_begin->second), __length, __comp);
+    }
+
+  // public interface
+  template<typename _RAIterPairIterator,
+          typename _RAIterOut,
+          typename _DifferenceTp,
+          typename _Compare>
+    _RAIterOut
+    stable_multiway_merge_sentinels(_RAIterPairIterator __seqs_begin,
+                                   _RAIterPairIterator __seqs_end,
+                                   _RAIterOut __target,
+                                   _DifferenceTp __length, _Compare __comp,
+                                   __gnu_parallel::exact_tag __tag)
+    {
+      typedef _DifferenceTp _DifferenceType;
+      _GLIBCXX_CALL(__seqs_end - __seqs_begin)
+
+      // catch special case: no sequences
+      if (__seqs_begin == __seqs_end)
+       return __target;
+
+      // Execute merge; maybe parallel, depending on the number of merged
+      // elements and the number of sequences and global thresholds in
+      // Settings.
+      if ((__seqs_end - __seqs_begin > 1)
+         && _GLIBCXX_PARALLEL_CONDITION(
+            ((__seqs_end - __seqs_begin) >=
+            __gnu_parallel::_Settings::get().multiway_merge_minimal_k)
+            && ((_SequenceIndex)__length >=
+            __gnu_parallel::_Settings::get().multiway_merge_minimal_n)))
+       return parallel_multiway_merge
+          </* __stable = */ true, /* __sentinels = */ true>
+         (__seqs_begin, __seqs_end, __target,
+          multiway_merge_exact_splitting</* __stable = */ true,
+          typename std::iterator_traits<_RAIterPairIterator>
+          ::value_type*, _Compare, _DifferenceTp>,
+          static_cast<_DifferenceType>(__length), __comp,
+          __tag.__get_num_threads());
+      else
+       return __sequential_multiway_merge
+          </* __stable = */ true, /* __sentinels = */ true>
+         (__seqs_begin, __seqs_end, __target,
+          *(__seqs_begin->second), __length, __comp);
+    }
+
+  // public interface
+  template<typename _RAIterPairIterator,
+          typename _RAIterOut,
+          typename _DifferenceTp,
+          typename _Compare>
+    _RAIterOut
+    stable_multiway_merge_sentinels(_RAIterPairIterator __seqs_begin,
+                                   _RAIterPairIterator __seqs_end,
+                                   _RAIterOut __target,
+                                   _DifferenceTp __length,
+                                   _Compare __comp,
+                                   sampling_tag __tag)
+    {
+      typedef _DifferenceTp _DifferenceType;
+      _GLIBCXX_CALL(__seqs_end - __seqs_begin)
+
+      // catch special case: no sequences
+      if (__seqs_begin == __seqs_end)
+       return __target;
+
+      // Execute merge; maybe parallel, depending on the number of merged
+      // elements and the number of sequences and global thresholds in
+      // Settings.
+      if ((__seqs_end - __seqs_begin > 1)
+         && _GLIBCXX_PARALLEL_CONDITION(
+            ((__seqs_end - __seqs_begin) >=
+              __gnu_parallel::_Settings::get().multiway_merge_minimal_k)
+            && ((_SequenceIndex)__length >=
+              __gnu_parallel::_Settings::get().multiway_merge_minimal_n)))
+       return parallel_multiway_merge
+          </* __stable = */ true, /* __sentinels = */ true>
+         (__seqs_begin, __seqs_end, __target,
+          multiway_merge_sampling_splitting</* __stable = */ true,
+          typename std::iterator_traits<_RAIterPairIterator>
+          ::value_type*, _Compare, _DifferenceTp>,
+          static_cast<_DifferenceType>(__length), __comp,
+          __tag.__get_num_threads());
+      else
+       return __sequential_multiway_merge
+          </* __stable = */ true, /* __sentinels = */ true>
+         (__seqs_begin, __seqs_end, __target,
+          *(__seqs_begin->second), __length, __comp);
+    }
+
+  // public interface
+  template<typename _RAIterPairIterator,
+          typename _RAIterOut,
+          typename _DifferenceTp,
+          typename _Compare>
+    _RAIterOut
+    stable_multiway_merge_sentinels(_RAIterPairIterator __seqs_begin,
+                                   _RAIterPairIterator __seqs_end,
+                                   _RAIterOut __target,
+                                   _DifferenceTp __length,
+                                   _Compare __comp,
+                                   parallel_tag __tag = parallel_tag(0))
+    {
+      return stable_multiway_merge_sentinels
+       (__seqs_begin, __seqs_end, __target, __length, __comp,
+        exact_tag(__tag.__get_num_threads()));
+    }
+
+  // public interface
+  template<typename _RAIterPairIterator,
+          typename _RAIterOut,
+          typename _DifferenceTp,
+          typename _Compare>
+    _RAIterOut
+    stable_multiway_merge_sentinels(_RAIterPairIterator __seqs_begin,
+                                   _RAIterPairIterator __seqs_end,
+                                   _RAIterOut __target,
+                                   _DifferenceTp __length, _Compare __comp,
+                                   default_parallel_tag __tag)
+    {
+      return stable_multiway_merge_sentinels
+       (__seqs_begin, __seqs_end, __target, __length, __comp,
+        exact_tag(__tag.__get_num_threads()));
+    }
+}; // namespace __gnu_parallel
+
+#endif /* _GLIBCXX_PARALLEL_MULTIWAY_MERGE_H */