cpp-d1064d
[cross.git] / i686-linux-gnu-4.7 / usr / include / c++ / 4.7 / parallel / losertree.h
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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/losertree.h
+*  @brief Many generic loser tree variants.
+*  This file is a GNU parallel extension to the Standard C++ Library.
+*/
+
+// Written by Johannes Singler.
+
+#ifndef _GLIBCXX_PARALLEL_LOSERTREE_H
+#define _GLIBCXX_PARALLEL_LOSERTREE_H 1
+
+#include <bits/stl_algobase.h>
+#include <bits/stl_function.h>
+#include <parallel/features.h>
+#include <parallel/base.h>
+
+namespace __gnu_parallel
+{
+  /**
+   * @brief Guarded loser/tournament tree.
+   *
+   * The smallest element is at the top.
+   *
+   * Guarding is done explicitly through one flag _M_sup per element,
+   * inf is not needed due to a better initialization routine.  This
+   * is a well-performing variant.
+   *
+   * @param _Tp the element type
+   * @param _Compare the comparator to use, defaults to std::less<_Tp>
+   */
+  template<typename _Tp, typename _Compare>
+    class _LoserTreeBase
+    {
+    protected:
+      /** @brief Internal representation of a _LoserTree element. */
+      struct _Loser
+      {
+       /** @brief flag, true iff this is a "maximum" __sentinel. */
+       bool _M_sup;
+       /** @brief __index of the __source __sequence. */
+       int _M_source;
+       /** @brief _M_key of the element in the _LoserTree. */
+       _Tp _M_key;
+      };
+
+      unsigned int _M_ik, _M_k, _M_offset;
+
+      /** log_2{_M_k} */
+      unsigned int _M_log_k;
+
+      /** @brief _LoserTree __elements. */
+      _Loser* _M_losers;
+
+      /** @brief _Compare to use. */
+      _Compare _M_comp;
+
+      /**
+       * @brief State flag that determines whether the _LoserTree is empty.
+       *
+       * Only used for building the _LoserTree.
+       */
+      bool _M_first_insert;
+
+    public:
+      /**
+       * @brief The constructor.
+       *
+       * @param __k The number of sequences to merge.
+       * @param __comp The comparator to use.
+       */
+      _LoserTreeBase(unsigned int __k, _Compare __comp)
+      : _M_comp(__comp)
+      {
+       _M_ik = __k;
+
+       // Compute log_2{_M_k} for the _Loser Tree
+       _M_log_k = __rd_log2(_M_ik - 1) + 1;
+
+       // Next greater power of 2.
+       _M_k = 1 << _M_log_k;
+       _M_offset = _M_k;
+
+       // Avoid default-constructing _M_losers[]._M_key
+       _M_losers = static_cast<_Loser*>(::operator new(2 * _M_k
+                                                       * sizeof(_Loser)));
+       for (unsigned int __i = _M_ik - 1; __i < _M_k; ++__i)
+         _M_losers[__i + _M_k]._M_sup = true;
+
+       _M_first_insert = true;
+      }
+
+      /**
+       * @brief The destructor.
+       */
+      ~_LoserTreeBase()
+      {
+       for (unsigned int __i = 0; __i < (2 * _M_k); ++__i)
+         _M_losers[__i].~_Loser();
+       ::operator delete(_M_losers);
+      }
+
+      /**
+       * @brief Initializes the sequence "_M_source" with the element "__key".
+       *
+       * @param __key the element to insert
+       * @param __source __index of the __source __sequence
+       * @param __sup flag that determines whether the value to insert is an
+       *   explicit __supremum.
+       */
+      void
+      __insert_start(const _Tp& __key, int __source, bool __sup)
+      {
+       unsigned int __pos = _M_k + __source;
+
+       if (_M_first_insert)
+         {
+           // Construct all keys, so we can easily destruct them.
+           for (unsigned int __i = 0; __i < (2 * _M_k); ++__i)
+             ::new(&(_M_losers[__i]._M_key)) _Tp(__key);
+           _M_first_insert = false;
+         }
+       else
+         _M_losers[__pos]._M_key = __key;
+
+       _M_losers[__pos]._M_sup = __sup;
+       _M_losers[__pos]._M_source = __source;
+      }
+
+      /**
+       * @return the index of the sequence with the smallest element.
+       */
+      int __get_min_source()
+      { return _M_losers[0]._M_source; }
+    };
+
+    /**
+     * @brief Stable _LoserTree variant.
+     *
+     * Provides the stable implementations of insert_start, __init_winner,
+     * __init and __delete_min_insert.
+     *
+     * Unstable variant is done using partial specialisation below.
+     */
+  template<bool __stable/* default == true */, typename _Tp,
+          typename _Compare>
+    class _LoserTree
+    : public _LoserTreeBase<_Tp, _Compare>
+    {
+      typedef _LoserTreeBase<_Tp, _Compare> _Base;
+      using _Base::_M_k;
+      using _Base::_M_comp;
+      using _Base::_M_losers;
+      using _Base::_M_first_insert;
+
+    public:
+      _LoserTree(unsigned int __k, _Compare __comp)
+      : _Base::_LoserTreeBase(__k, __comp)
+      { }
+
+      unsigned int
+      __init_winner(unsigned int __root)
+      {
+       if (__root >= _M_k)
+         return __root;
+       else
+         {
+           unsigned int __left = __init_winner(2 * __root);
+           unsigned int __right = __init_winner(2 * __root + 1);
+           if (_M_losers[__right]._M_sup
+               || (!_M_losers[__left]._M_sup
+                   && !_M_comp(_M_losers[__right]._M_key,
+                               _M_losers[__left]._M_key)))
+             {
+               // Left one is less or equal.
+               _M_losers[__root] = _M_losers[__right];
+               return __left;
+             }
+           else
+             {
+               // Right one is less.
+               _M_losers[__root] = _M_losers[__left];
+               return __right;
+             }
+         }
+      }
+
+      void __init()
+      { _M_losers[0] = _M_losers[__init_winner(1)]; }
+
+      /**
+       * @brief Delete the smallest element and insert a new element from
+       *   the previously smallest element's sequence.
+       *
+       * This implementation is stable.
+       */
+      // Do not pass a const reference since __key will be used as
+      // local variable.
+      void
+      __delete_min_insert(_Tp __key, bool __sup)
+      {
+        using std::swap;
+#if _GLIBCXX_ASSERTIONS
+       // no dummy sequence can ever be at the top!
+       _GLIBCXX_PARALLEL_ASSERT(_M_losers[0]._M_source != -1);
+#endif
+
+       int __source = _M_losers[0]._M_source;
+       for (unsigned int __pos = (_M_k + __source) / 2; __pos > 0;
+            __pos /= 2)
+         {
+           // The smaller one gets promoted, ties are broken by _M_source.
+           if ((__sup && (!_M_losers[__pos]._M_sup
+                          || _M_losers[__pos]._M_source < __source))
+               || (!__sup && !_M_losers[__pos]._M_sup
+                   && ((_M_comp(_M_losers[__pos]._M_key, __key))
+                       || (!_M_comp(__key, _M_losers[__pos]._M_key)
+                           && _M_losers[__pos]._M_source < __source))))
+             {
+               // The other one is smaller.
+               std::swap(_M_losers[__pos]._M_sup, __sup);
+               std::swap(_M_losers[__pos]._M_source, __source);
+               swap(_M_losers[__pos]._M_key, __key);
+             }
+         }
+
+       _M_losers[0]._M_sup = __sup;
+       _M_losers[0]._M_source = __source;
+       _M_losers[0]._M_key = __key;
+      }
+    };
+
+    /**
+     * @brief Unstable _LoserTree variant.
+     *
+     * Stability (non-stable here) is selected with partial specialization.
+     */
+  template<typename _Tp, typename _Compare>
+    class _LoserTree</* __stable == */false, _Tp, _Compare>
+    : public _LoserTreeBase<_Tp, _Compare>
+    {
+      typedef _LoserTreeBase<_Tp, _Compare> _Base;
+      using _Base::_M_log_k;
+      using _Base::_M_k;
+      using _Base::_M_comp;
+      using _Base::_M_losers;
+      using _Base::_M_first_insert;
+
+    public:
+      _LoserTree(unsigned int __k, _Compare __comp)
+      : _Base::_LoserTreeBase(__k, __comp)
+      { }
+
+      /**
+       * Computes the winner of the competition at position "__root".
+       *
+       * Called recursively (starting at 0) to build the initial tree.
+       *
+       * @param __root __index of the "game" to start.
+       */
+      unsigned int
+      __init_winner(unsigned int __root)
+      {
+       if (__root >= _M_k)
+         return __root;
+       else
+         {
+           unsigned int __left = __init_winner(2 * __root);
+           unsigned int __right = __init_winner(2 * __root + 1);
+           if (_M_losers[__right]._M_sup
+               || (!_M_losers[__left]._M_sup
+                   && !_M_comp(_M_losers[__right]._M_key,
+                               _M_losers[__left]._M_key)))
+             {
+               // Left one is less or equal.
+               _M_losers[__root] = _M_losers[__right];
+               return __left;
+             }
+           else
+             {
+               // Right one is less.
+               _M_losers[__root] = _M_losers[__left];
+               return __right;
+             }
+         }
+      }
+
+      void
+      __init()
+      { _M_losers[0] = _M_losers[__init_winner(1)]; }
+
+      /**
+       * Delete the _M_key smallest element and insert the element __key
+       * instead.
+       *
+       * @param __key the _M_key to insert
+       * @param __sup true iff __key is an explicitly marked supremum
+       */
+      // Do not pass a const reference since __key will be used as local
+      // variable.
+      void
+      __delete_min_insert(_Tp __key, bool __sup)
+      {
+        using std::swap;
+#if _GLIBCXX_ASSERTIONS
+       // no dummy sequence can ever be at the top!
+       _GLIBCXX_PARALLEL_ASSERT(_M_losers[0]._M_source != -1);
+#endif
+
+       int __source = _M_losers[0]._M_source;
+       for (unsigned int __pos = (_M_k + __source) / 2; __pos > 0;
+            __pos /= 2)
+         {
+           // The smaller one gets promoted.
+           if (__sup || (!_M_losers[__pos]._M_sup
+                         && _M_comp(_M_losers[__pos]._M_key, __key)))
+             {
+               // The other one is smaller.
+               std::swap(_M_losers[__pos]._M_sup, __sup);
+               std::swap(_M_losers[__pos]._M_source, __source);
+               swap(_M_losers[__pos]._M_key, __key);
+             }
+         }
+
+       _M_losers[0]._M_sup = __sup;
+       _M_losers[0]._M_source = __source;
+       _M_losers[0]._M_key = __key;
+      }
+    };
+
+  /**
+   * @brief Base class of _Loser Tree implementation using pointers.
+   */
+  template<typename _Tp, typename _Compare>
+    class _LoserTreePointerBase
+    {
+    protected:
+      /** @brief Internal representation of _LoserTree __elements. */
+      struct _Loser
+      {
+       bool _M_sup;
+       int _M_source;
+       const _Tp* _M_keyp;
+      };
+
+      unsigned int _M_ik, _M_k, _M_offset;
+      _Loser* _M_losers;
+      _Compare _M_comp;
+
+    public:
+      _LoserTreePointerBase(unsigned int __k,
+                           _Compare __comp = std::less<_Tp>())
+      : _M_comp(__comp)
+      {
+       _M_ik = __k;
+
+       // Next greater power of 2.
+       _M_k = 1 << (__rd_log2(_M_ik - 1) + 1);
+       _M_offset = _M_k;
+       _M_losers = new _Loser[_M_k * 2];
+       for (unsigned int __i = _M_ik - 1; __i < _M_k; __i++)
+         _M_losers[__i + _M_k]._M_sup = true;
+      }
+
+      ~_LoserTreePointerBase()
+      { delete[] _M_losers; }
+
+      int __get_min_source()
+      { return _M_losers[0]._M_source; }
+
+      void __insert_start(const _Tp& __key, int __source, bool __sup)
+      {
+       unsigned int __pos = _M_k + __source;
+
+       _M_losers[__pos]._M_sup = __sup;
+       _M_losers[__pos]._M_source = __source;
+       _M_losers[__pos]._M_keyp = &__key;
+      }
+    };
+
+  /**
+   * @brief Stable _LoserTree implementation.
+   *
+   * The unstable variant is implemented using partial instantiation below.
+   */
+  template<bool __stable/* default == true */, typename _Tp, typename _Compare>
+    class _LoserTreePointer
+    : public _LoserTreePointerBase<_Tp, _Compare>
+    {
+      typedef _LoserTreePointerBase<_Tp, _Compare> _Base;
+      using _Base::_M_k;
+      using _Base::_M_comp;
+      using _Base::_M_losers;
+
+    public:
+      _LoserTreePointer(unsigned int __k, _Compare __comp = std::less<_Tp>())
+      : _Base::_LoserTreePointerBase(__k, __comp)
+      { }
+
+      unsigned int
+      __init_winner(unsigned int __root)
+      {
+       if (__root >= _M_k)
+         return __root;
+       else
+         {
+           unsigned int __left = __init_winner(2 * __root);
+           unsigned int __right = __init_winner(2 * __root + 1);
+           if (_M_losers[__right]._M_sup
+               || (!_M_losers[__left]._M_sup
+                   && !_M_comp(*_M_losers[__right]._M_keyp,
+                               *_M_losers[__left]._M_keyp)))
+             {
+               // Left one is less or equal.
+               _M_losers[__root] = _M_losers[__right];
+               return __left;
+             }
+           else
+             {
+               // Right one is less.
+               _M_losers[__root] = _M_losers[__left];
+               return __right;
+             }
+         }
+      }
+
+      void __init()
+      { _M_losers[0] = _M_losers[__init_winner(1)]; }
+
+      void __delete_min_insert(const _Tp& __key, bool __sup)
+      {
+#if _GLIBCXX_ASSERTIONS
+       // no dummy sequence can ever be at the top!
+       _GLIBCXX_PARALLEL_ASSERT(_M_losers[0]._M_source != -1);
+#endif
+
+       const _Tp* __keyp = &__key;
+       int __source = _M_losers[0]._M_source;
+       for (unsigned int __pos = (_M_k + __source) / 2; __pos > 0;
+            __pos /= 2)
+         {
+           // The smaller one gets promoted, ties are broken by __source.
+           if ((__sup && (!_M_losers[__pos]._M_sup
+                          || _M_losers[__pos]._M_source < __source))
+               || (!__sup && !_M_losers[__pos]._M_sup &&
+                   ((_M_comp(*_M_losers[__pos]._M_keyp, *__keyp))
+                    || (!_M_comp(*__keyp, *_M_losers[__pos]._M_keyp)
+                        && _M_losers[__pos]._M_source < __source))))
+             {
+               // The other one is smaller.
+               std::swap(_M_losers[__pos]._M_sup, __sup);
+               std::swap(_M_losers[__pos]._M_source, __source);
+               std::swap(_M_losers[__pos]._M_keyp, __keyp);
+             }
+         }
+
+       _M_losers[0]._M_sup = __sup;
+       _M_losers[0]._M_source = __source;
+       _M_losers[0]._M_keyp = __keyp;
+      }
+    };
+
+  /**
+   * @brief Unstable _LoserTree implementation.
+   *
+   * The stable variant is above.
+   */
+  template<typename _Tp, typename _Compare>
+    class _LoserTreePointer</* __stable == */false, _Tp, _Compare>
+    : public _LoserTreePointerBase<_Tp, _Compare>
+    {
+      typedef _LoserTreePointerBase<_Tp, _Compare> _Base;
+      using _Base::_M_k;
+      using _Base::_M_comp;
+      using _Base::_M_losers;
+
+    public:
+      _LoserTreePointer(unsigned int __k, _Compare __comp = std::less<_Tp>())
+      : _Base::_LoserTreePointerBase(__k, __comp)
+      { }
+
+      unsigned int
+      __init_winner(unsigned int __root)
+      {
+       if (__root >= _M_k)
+         return __root;
+       else
+         {
+           unsigned int __left = __init_winner(2 * __root);
+           unsigned int __right = __init_winner(2 * __root + 1);
+           if (_M_losers[__right]._M_sup
+               || (!_M_losers[__left]._M_sup
+                   && !_M_comp(*_M_losers[__right]._M_keyp,
+                               *_M_losers[__left]._M_keyp)))
+             {
+               // Left one is less or equal.
+               _M_losers[__root] = _M_losers[__right];
+               return __left;
+             }
+           else
+             {
+               // Right one is less.
+               _M_losers[__root] = _M_losers[__left];
+               return __right;
+             }
+         }
+      }
+
+      void __init()
+      { _M_losers[0] = _M_losers[__init_winner(1)]; }
+
+      void __delete_min_insert(const _Tp& __key, bool __sup)
+      {
+#if _GLIBCXX_ASSERTIONS
+       // no dummy sequence can ever be at the top!
+       _GLIBCXX_PARALLEL_ASSERT(_M_losers[0]._M_source != -1);
+#endif
+
+       const _Tp* __keyp = &__key;
+       int __source = _M_losers[0]._M_source;
+       for (unsigned int __pos = (_M_k + __source) / 2; __pos > 0;
+            __pos /= 2)
+         {
+           // The smaller one gets promoted.
+           if (__sup || (!_M_losers[__pos]._M_sup
+                         && _M_comp(*_M_losers[__pos]._M_keyp, *__keyp)))
+             {
+               // The other one is smaller.
+               std::swap(_M_losers[__pos]._M_sup, __sup);
+               std::swap(_M_losers[__pos]._M_source, __source);
+               std::swap(_M_losers[__pos]._M_keyp, __keyp);
+             }
+         }
+
+       _M_losers[0]._M_sup = __sup;
+       _M_losers[0]._M_source = __source;
+       _M_losers[0]._M_keyp = __keyp;
+      }
+    };
+
+  /** @brief Base class for unguarded _LoserTree implementation.
+   * 
+   * The whole element is copied into the tree structure.
+   *
+   * No guarding is done, therefore not a single input sequence must
+   * run empty.  Unused __sequence heads are marked with a sentinel which
+   * is &gt; all elements that are to be merged.
+   *
+   * This is a very fast variant.
+   */
+  template<typename _Tp, typename _Compare>
+    class _LoserTreeUnguardedBase
+    {
+    protected:
+      struct _Loser
+      {
+       int _M_source;
+       _Tp _M_key;
+      };
+
+      unsigned int _M_ik, _M_k, _M_offset;
+      _Loser* _M_losers;
+      _Compare _M_comp;
+
+    public:
+      _LoserTreeUnguardedBase(unsigned int __k, const _Tp& __sentinel,
+                             _Compare __comp = std::less<_Tp>())
+      : _M_comp(__comp)
+      {
+       _M_ik = __k;
+
+       // Next greater power of 2.
+       _M_k = 1 << (__rd_log2(_M_ik - 1) + 1);
+       _M_offset = _M_k;
+       // Avoid default-constructing _M_losers[]._M_key
+       _M_losers = static_cast<_Loser*>(::operator new(2 * _M_k
+                                                       * sizeof(_Loser)));
+
+        for (unsigned int __i = 0; __i < _M_k; ++__i)
+          {
+           ::new(&(_M_losers[__i]._M_key)) _Tp(__sentinel);
+           _M_losers[__i]._M_source = -1;
+         }
+        for (unsigned int __i = _M_k + _M_ik - 1; __i < (2 * _M_k); ++__i)
+          {
+           ::new(&(_M_losers[__i]._M_key)) _Tp(__sentinel);
+           _M_losers[__i]._M_source = -1;
+         }
+      }
+
+      ~_LoserTreeUnguardedBase()
+      {
+       for (unsigned int __i = 0; __i < (2 * _M_k); ++__i)
+         _M_losers[__i].~_Loser();
+       ::operator delete(_M_losers);
+      }
+
+      int
+      __get_min_source()
+      {
+#if _GLIBCXX_ASSERTIONS
+       // no dummy sequence can ever be at the top!
+       _GLIBCXX_PARALLEL_ASSERT(_M_losers[0]._M_source != -1);
+#endif
+       return _M_losers[0]._M_source;
+      }
+
+      void
+      __insert_start(const _Tp& __key, int __source, bool)
+      {
+       unsigned int __pos = _M_k + __source;
+
+       ::new(&(_M_losers[__pos]._M_key)) _Tp(__key);
+       _M_losers[__pos]._M_source = __source;
+      }
+    };
+
+  /**
+   * @brief Stable implementation of unguarded _LoserTree.
+   *
+   * Unstable variant is selected below with partial specialization.
+   */
+  template<bool __stable/* default == true */, typename _Tp, typename _Compare>
+    class _LoserTreeUnguarded
+    : public _LoserTreeUnguardedBase<_Tp, _Compare>
+    {
+      typedef _LoserTreeUnguardedBase<_Tp, _Compare> _Base;
+      using _Base::_M_k;
+      using _Base::_M_comp;
+      using _Base::_M_losers;
+
+  public:
+      _LoserTreeUnguarded(unsigned int __k, const _Tp& __sentinel,
+                         _Compare __comp = std::less<_Tp>())
+      : _Base::_LoserTreeUnguardedBase(__k, __sentinel, __comp)
+      { }
+
+      unsigned int
+      __init_winner(unsigned int __root)
+      {
+       if (__root >= _M_k)
+         return __root;
+       else
+         {
+           unsigned int __left = __init_winner(2 * __root);
+           unsigned int __right = __init_winner(2 * __root + 1);
+           if (!_M_comp(_M_losers[__right]._M_key,
+                        _M_losers[__left]._M_key))
+             {
+               // Left one is less or equal.
+               _M_losers[__root] = _M_losers[__right];
+               return __left;
+             }
+           else
+             {
+               // Right one is less.
+               _M_losers[__root] = _M_losers[__left];
+               return __right;
+             }
+         }
+      }
+
+      void
+      __init()
+      {
+       _M_losers[0] = _M_losers[__init_winner(1)];
+
+#if _GLIBCXX_ASSERTIONS
+       // no dummy sequence can ever be at the top at the beginning
+       // (0 sequences!)
+       _GLIBCXX_PARALLEL_ASSERT(_M_losers[0]._M_source != -1);
+#endif
+      }
+
+      // Do not pass a const reference since __key will be used as
+      // local variable.
+      void
+      __delete_min_insert(_Tp __key, bool)
+      {
+        using std::swap;
+#if _GLIBCXX_ASSERTIONS
+       // no dummy sequence can ever be at the top!
+       _GLIBCXX_PARALLEL_ASSERT(_M_losers[0]._M_source != -1);
+#endif
+
+       int __source = _M_losers[0]._M_source;
+       for (unsigned int __pos = (_M_k + __source) / 2; __pos > 0;
+            __pos /= 2)
+         {
+           // The smaller one gets promoted, ties are broken by _M_source.
+           if (_M_comp(_M_losers[__pos]._M_key, __key)
+               || (!_M_comp(__key, _M_losers[__pos]._M_key)
+                    && _M_losers[__pos]._M_source < __source))
+             {
+               // The other one is smaller.
+               std::swap(_M_losers[__pos]._M_source, __source);
+               swap(_M_losers[__pos]._M_key, __key);
+             }
+         }
+
+       _M_losers[0]._M_source = __source;
+       _M_losers[0]._M_key = __key;
+      }
+    };
+
+  /**
+   * @brief Non-Stable implementation of unguarded _LoserTree.
+   *
+   * Stable implementation is above.
+   */
+  template<typename _Tp, typename _Compare>
+    class _LoserTreeUnguarded</* __stable == */false, _Tp, _Compare>
+    : public _LoserTreeUnguardedBase<_Tp, _Compare>
+    {
+      typedef _LoserTreeUnguardedBase<_Tp, _Compare> _Base;
+      using _Base::_M_k;
+      using _Base::_M_comp;
+      using _Base::_M_losers;
+
+    public:
+      _LoserTreeUnguarded(unsigned int __k, const _Tp& __sentinel,
+                         _Compare __comp = std::less<_Tp>())
+      : _Base::_LoserTreeUnguardedBase(__k, __sentinel, __comp)
+      { }
+
+      unsigned int
+      __init_winner(unsigned int __root)
+      {
+       if (__root >= _M_k)
+         return __root;
+       else
+         {
+           unsigned int __left = __init_winner(2 * __root);
+           unsigned int __right = __init_winner(2 * __root + 1);
+
+#if _GLIBCXX_ASSERTIONS
+           // If __left one is sentinel then __right one must be, too.
+           if (_M_losers[__left]._M_source == -1)
+             _GLIBCXX_PARALLEL_ASSERT(_M_losers[__right]._M_source == -1);
+#endif
+
+           if (!_M_comp(_M_losers[__right]._M_key,
+                        _M_losers[__left]._M_key))
+             {
+               // Left one is less or equal.
+               _M_losers[__root] = _M_losers[__right];
+               return __left;
+             }
+           else
+             {
+               // Right one is less.
+               _M_losers[__root] = _M_losers[__left];
+               return __right;
+             }
+         }
+      }
+
+      void
+      __init()
+      {
+       _M_losers[0] = _M_losers[__init_winner(1)];
+
+#if _GLIBCXX_ASSERTIONS
+       // no dummy sequence can ever be at the top at the beginning
+       // (0 sequences!)
+       _GLIBCXX_PARALLEL_ASSERT(_M_losers[0]._M_source != -1);
+#endif
+      }
+
+      // Do not pass a const reference since __key will be used as
+      // local variable.
+      void
+      __delete_min_insert(_Tp __key, bool)
+      {
+        using std::swap;
+#if _GLIBCXX_ASSERTIONS
+       // no dummy sequence can ever be at the top!
+       _GLIBCXX_PARALLEL_ASSERT(_M_losers[0]._M_source != -1);
+#endif
+
+       int __source = _M_losers[0]._M_source;
+       for (unsigned int __pos = (_M_k + __source) / 2; __pos > 0;
+            __pos /= 2)
+         {
+           // The smaller one gets promoted.
+           if (_M_comp(_M_losers[__pos]._M_key, __key))
+             {
+               // The other one is smaller.
+               std::swap(_M_losers[__pos]._M_source, __source);
+               swap(_M_losers[__pos]._M_key, __key);
+             }
+         }
+
+       _M_losers[0]._M_source = __source;
+       _M_losers[0]._M_key = __key;
+      }
+    };
+
+  /** @brief Unguarded loser tree, keeping only pointers to the
+  * elements in the tree structure.
+  *
+  *  No guarding is done, therefore not a single input sequence must
+  *  run empty.  This is a very fast variant.
+  */
+  template<typename _Tp, typename _Compare>
+    class _LoserTreePointerUnguardedBase
+    {
+    protected:
+      struct _Loser
+      {
+       int _M_source;
+       const _Tp* _M_keyp;
+      };
+
+      unsigned int _M_ik, _M_k, _M_offset;
+      _Loser* _M_losers;
+      _Compare _M_comp;
+
+    public:
+
+      _LoserTreePointerUnguardedBase(unsigned int __k, const _Tp& __sentinel,
+                                    _Compare __comp = std::less<_Tp>())
+      : _M_comp(__comp)
+      {
+       _M_ik = __k;
+
+       // Next greater power of 2.
+       _M_k = 1 << (__rd_log2(_M_ik - 1) + 1);
+       _M_offset = _M_k;
+       // Avoid default-constructing _M_losers[]._M_key
+       _M_losers = new _Loser[2 * _M_k];
+
+       for (unsigned int __i = _M_k + _M_ik - 1; __i < (2 * _M_k); ++__i)
+         {
+           _M_losers[__i]._M_keyp = &__sentinel;
+           _M_losers[__i]._M_source = -1;
+         }
+      }
+
+      ~_LoserTreePointerUnguardedBase()
+      { delete[] _M_losers; }
+
+      int
+      __get_min_source()
+      {
+#if _GLIBCXX_ASSERTIONS
+       // no dummy sequence can ever be at the top!
+       _GLIBCXX_PARALLEL_ASSERT(_M_losers[0]._M_source != -1);
+#endif
+       return _M_losers[0]._M_source;
+      }
+
+      void
+      __insert_start(const _Tp& __key, int __source, bool)
+      {
+       unsigned int __pos = _M_k + __source;
+
+       _M_losers[__pos]._M_keyp = &__key;
+       _M_losers[__pos]._M_source = __source;
+      }
+    };
+
+  /**
+   * @brief Stable unguarded _LoserTree variant storing pointers.
+   *
+   * Unstable variant is implemented below using partial specialization.
+   */
+  template<bool __stable/* default == true */, typename _Tp, typename _Compare>
+    class _LoserTreePointerUnguarded
+    : public _LoserTreePointerUnguardedBase<_Tp, _Compare>
+    {
+      typedef _LoserTreePointerUnguardedBase<_Tp, _Compare> _Base;
+      using _Base::_M_k;
+      using _Base::_M_comp;
+      using _Base::_M_losers;
+
+    public:
+      _LoserTreePointerUnguarded(unsigned int __k, const _Tp& __sentinel,
+                                _Compare __comp = std::less<_Tp>())
+      : _Base::_LoserTreePointerUnguardedBase(__k, __sentinel, __comp)
+      { }
+
+      unsigned int
+      __init_winner(unsigned int __root)
+      {
+       if (__root >= _M_k)
+         return __root;
+       else
+         {
+           unsigned int __left = __init_winner(2 * __root);
+           unsigned int __right = __init_winner(2 * __root + 1);
+           if (!_M_comp(*_M_losers[__right]._M_keyp,
+                        *_M_losers[__left]._M_keyp))
+             {
+               // Left one is less or equal.
+               _M_losers[__root] = _M_losers[__right];
+               return __left;
+             }
+           else
+             {
+               // Right one is less.
+               _M_losers[__root] = _M_losers[__left];
+               return __right;
+             }
+         }
+      }
+
+      void
+      __init()
+      {
+       _M_losers[0] = _M_losers[__init_winner(1)];
+
+#if _GLIBCXX_ASSERTIONS
+       // no dummy sequence can ever be at the top at the beginning
+       // (0 sequences!)
+       _GLIBCXX_PARALLEL_ASSERT(_M_losers[0]._M_source != -1);
+#endif
+      }
+
+      void
+      __delete_min_insert(const _Tp& __key, bool __sup)
+      {
+#if _GLIBCXX_ASSERTIONS
+       // no dummy sequence can ever be at the top!
+       _GLIBCXX_PARALLEL_ASSERT(_M_losers[0]._M_source != -1);
+#endif
+
+       const _Tp* __keyp = &__key;
+       int __source = _M_losers[0]._M_source;
+       for (unsigned int __pos = (_M_k + __source) / 2; __pos > 0;
+            __pos /= 2)
+         {
+           // The smaller one gets promoted, ties are broken by _M_source.
+           if (_M_comp(*_M_losers[__pos]._M_keyp, *__keyp)
+               || (!_M_comp(*__keyp, *_M_losers[__pos]._M_keyp)
+                   && _M_losers[__pos]._M_source < __source))
+             {
+               // The other one is smaller.
+               std::swap(_M_losers[__pos]._M_source, __source);
+               std::swap(_M_losers[__pos]._M_keyp, __keyp);
+             }
+         }
+
+       _M_losers[0]._M_source = __source;
+       _M_losers[0]._M_keyp = __keyp;
+      }
+    };
+
+  /**
+   * @brief Unstable unguarded _LoserTree variant storing pointers.
+   *
+   * Stable variant is above.
+   */
+  template<typename _Tp, typename _Compare>
+    class _LoserTreePointerUnguarded</* __stable == */false, _Tp, _Compare>
+    : public _LoserTreePointerUnguardedBase<_Tp, _Compare>
+    {
+      typedef _LoserTreePointerUnguardedBase<_Tp, _Compare> _Base;
+      using _Base::_M_k;
+      using _Base::_M_comp;
+      using _Base::_M_losers;
+
+  public:
+      _LoserTreePointerUnguarded(unsigned int __k, const _Tp& __sentinel,
+                                _Compare __comp = std::less<_Tp>())
+      : _Base::_LoserTreePointerUnguardedBase(__k, __sentinel, __comp)
+      { }
+
+      unsigned int
+      __init_winner(unsigned int __root)
+      {
+       if (__root >= _M_k)
+         return __root;
+       else
+         {
+           unsigned int __left = __init_winner(2 * __root);
+           unsigned int __right = __init_winner(2 * __root + 1);
+
+#if _GLIBCXX_ASSERTIONS
+           // If __left one is sentinel then __right one must be, too.
+           if (_M_losers[__left]._M_source == -1)
+             _GLIBCXX_PARALLEL_ASSERT(_M_losers[__right]._M_source == -1);
+#endif
+
+           if (!_M_comp(*_M_losers[__right]._M_keyp,
+                        *_M_losers[__left]._M_keyp))
+             {
+               // Left one is less or equal.
+               _M_losers[__root] = _M_losers[__right];
+               return __left;
+             }
+           else
+             {
+               // Right one is less.
+               _M_losers[__root] = _M_losers[__left];
+               return __right;
+             }
+         }
+      }
+
+      void
+      __init()
+      {
+       _M_losers[0] = _M_losers[__init_winner(1)];
+
+#if _GLIBCXX_ASSERTIONS
+       // no dummy sequence can ever be at the top at the beginning
+       // (0 sequences!)
+       _GLIBCXX_PARALLEL_ASSERT(_M_losers[0]._M_source != -1);
+#endif
+      }
+
+      void
+      __delete_min_insert(const _Tp& __key, bool __sup)
+      {
+#if _GLIBCXX_ASSERTIONS
+       // no dummy sequence can ever be at the top!
+       _GLIBCXX_PARALLEL_ASSERT(_M_losers[0]._M_source != -1);
+#endif
+
+       const _Tp* __keyp = &__key;
+       int __source = _M_losers[0]._M_source;
+       for (unsigned int __pos = (_M_k + __source) / 2; __pos > 0;
+            __pos /= 2)
+         {
+           // The smaller one gets promoted.
+           if (_M_comp(*(_M_losers[__pos]._M_keyp), *__keyp))
+             {
+               // The other one is smaller.
+               std::swap(_M_losers[__pos]._M_source, __source);
+               std::swap(_M_losers[__pos]._M_keyp, __keyp);
+             }
+         }
+
+       _M_losers[0]._M_source = __source;
+       _M_losers[0]._M_keyp = __keyp;
+      }
+    };
+} // namespace __gnu_parallel
+
+#endif /* _GLIBCXX_PARALLEL_LOSERTREE_H */