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Edit File : stl_heap.h \| Size : 19.73 KB
// Heap implementation -- C++ -- // Copyright (C) 2001-2018 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/>. /* * * Copyright (c) 1994 * Hewlett-Packard Company * * Permission to use, copy, modify, distribute and sell this software * and its documentation for any purpose is hereby granted without fee, * provided that the above copyright notice appear in all copies and * that both that copyright notice and this permission notice appear * in supporting documentation. Hewlett-Packard Company makes no * representations about the suitability of this software for any * purpose. It is provided "as is" without express or implied warranty. * * Copyright (c) 1997 * Silicon Graphics Computer Systems, Inc. * * Permission to use, copy, modify, distribute and sell this software * and its documentation for any purpose is hereby granted without fee, * provided that the above copyright notice appear in all copies and * that both that copyright notice and this permission notice appear * in supporting documentation. Silicon Graphics makes no * representations about the suitability of this software for any * purpose. It is provided "as is" without express or implied warranty. / /* @file bits/stl_heap.h * This is an internal header file, included by other library headers. * Do not attempt to use it directly. @headername{queue} / #ifndef _STL_HEAP_H #define _STL_HEAP_H 1 #include <debug/debug.h> #include <bits/move.h> #include <bits/predefined_ops.h> namespace std _GLIBCXX_VISIBILITY(default) { _GLIBCXX_BEGIN_NAMESPACE_VERSION /* * @defgroup heap_algorithms Heap * @ingroup sorting_algorithms / template<typename _RandomAccessIterator, typename _Distance, typename _Compare> _Distance __is_heap_until(_RandomAccessIterator __first, _Distance __n, _Compare& __comp) { _Distance __parent = 0; for (_Distance __child = 1; __child < __n; ++__child) { if (__comp(__first + __parent, __first + __child)) return __child; if ((__child & 1) == 0) ++__parent; } return __n; } // __is_heap, a predicate testing whether or not a range is a heap. // This function is an extension, not part of the C++ standard. template<typename _RandomAccessIterator, typename _Distance> inline bool __is_heap(_RandomAccessIterator __first, _Distance __n) { __gnu_cxx::__ops::_Iter_less_iter __comp; return std::__is_heap_until(__first, __n, __comp) == __n; } template<typename _RandomAccessIterator, typename _Compare, typename _Distance> inline bool __is_heap(_RandomAccessIterator __first, _Compare __comp, _Distance __n) { typedef __decltype(__comp) _Cmp; __gnu_cxx::__ops::_Iter_comp_iter<_Cmp> __cmp(_GLIBCXX_MOVE(__comp)); return std::__is_heap_until(__first, __n, __cmp) == __n; } template<typename _RandomAccessIterator> inline bool __is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last) { return std::__is_heap(__first, std::distance(__first, __last)); } template<typename _RandomAccessIterator, typename _Compare> inline bool __is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp) { return std::__is_heap(__first, _GLIBCXX_MOVE(__comp), std::distance(__first, __last)); } // Heap-manipulation functions: push_heap, pop_heap, make_heap, sort_heap, // + is_heap and is_heap_until in C++0x. template<typename _RandomAccessIterator, typename _Distance, typename _Tp, typename _Compare> void __push_heap(_RandomAccessIterator __first, _Distance __holeIndex, _Distance __topIndex, _Tp __value, _Compare& __comp) { _Distance __parent = (__holeIndex - 1) / 2; while (__holeIndex > __topIndex && __comp(__first + __parent, __value)) { (__first + __holeIndex) = _GLIBCXX_MOVE((__first + __parent)); __holeIndex = __parent; __parent = (__holeIndex - 1) / 2; } (__first + __holeIndex) = _GLIBCXX_MOVE(__value); } /** * @brief Push an element onto a heap. * @param __first Start of heap. * @param __last End of heap + element. * @ingroup heap_algorithms * * This operation pushes the element at last-1 onto the valid heap * over the range [__first,__last-1). After completion, * [__first,__last) is a valid heap. / template<typename _RandomAccessIterator> inline void push_heap(_RandomAccessIterator __first, _RandomAccessIterator __last) { typedef typename iterator_traits<_RandomAccessIterator>::value_type _ValueType; typedef typename iterator_traits<_RandomAccessIterator>::difference_type _DistanceType; // concept requirements __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept< _RandomAccessIterator>) __glibcxx_function_requires(_LessThanComparableConcept<_ValueType>) __glibcxx_requires_valid_range(__first, __last); __glibcxx_requires_irreflexive(__first, __last); __glibcxx_requires_heap(__first, __last - 1); __gnu_cxx::__ops::_Iter_less_val __comp; _ValueType __value = _GLIBCXX_MOVE((__last - 1)); std::__push_heap(__first, _DistanceType((__last - __first) - 1), _DistanceType(0), _GLIBCXX_MOVE(__value), __comp); } /** * @brief Push an element onto a heap using comparison functor. * @param __first Start of heap. * @param __last End of heap + element. * @param __comp Comparison functor. * @ingroup heap_algorithms * * This operation pushes the element at __last-1 onto the valid * heap over the range [__first,__last-1). After completion, * [__first,__last) is a valid heap. Compare operations are * performed using comp. / template<typename _RandomAccessIterator, typename _Compare> inline void push_heap(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp) { typedef typename iterator_traits<_RandomAccessIterator>::value_type _ValueType; typedef typename iterator_traits<_RandomAccessIterator>::difference_type _DistanceType; // concept requirements __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept< _RandomAccessIterator>) __glibcxx_requires_valid_range(__first, __last); __glibcxx_requires_irreflexive_pred(__first, __last, __comp); __glibcxx_requires_heap_pred(__first, __last - 1, __comp); __decltype(__gnu_cxx::__ops::__iter_comp_val(_GLIBCXX_MOVE(__comp))) __cmp(_GLIBCXX_MOVE(__comp)); _ValueType __value = _GLIBCXX_MOVE((__last - 1)); std::__push_heap(__first, _DistanceType((__last - __first) - 1), _DistanceType(0), _GLIBCXX_MOVE(__value), __cmp); } template<typename _RandomAccessIterator, typename _Distance, typename _Tp, typename _Compare> void __adjust_heap(_RandomAccessIterator __first, _Distance __holeIndex, _Distance __len, _Tp __value, _Compare __comp) { const _Distance __topIndex = __holeIndex; _Distance __secondChild = __holeIndex; while (__secondChild < (__len - 1) / 2) { __secondChild = 2 * (__secondChild + 1); if (__comp(__first + __secondChild, __first + (__secondChild - 1))) __secondChild--; (__first + __holeIndex) = _GLIBCXX_MOVE((__first + __secondChild)); __holeIndex = __secondChild; } if ((__len & 1) == 0 && __secondChild == (__len - 2) / 2) { __secondChild = 2 * (__secondChild + 1); (__first + __holeIndex) = _GLIBCXX_MOVE((__first + (__secondChild - 1))); __holeIndex = __secondChild - 1; } __decltype(__gnu_cxx::__ops::__iter_comp_val(_GLIBCXX_MOVE(__comp))) __cmp(_GLIBCXX_MOVE(__comp)); std::__push_heap(__first, __holeIndex, __topIndex, _GLIBCXX_MOVE(__value), __cmp); } template<typename _RandomAccessIterator, typename _Compare> inline void __pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last, _RandomAccessIterator __result, _Compare& __comp) { typedef typename iterator_traits<_RandomAccessIterator>::value_type _ValueType; typedef typename iterator_traits<_RandomAccessIterator>::difference_type _DistanceType; _ValueType __value = _GLIBCXX_MOVE(__result); __result = _GLIBCXX_MOVE(__first); std::__adjust_heap(__first, _DistanceType(0), _DistanceType(__last - __first), _GLIBCXX_MOVE(__value), __comp); } /* * @brief Pop an element off a heap. * @param __first Start of heap. * @param __last End of heap. * @pre [__first, __last) is a valid, non-empty range. * @ingroup heap_algorithms * * This operation pops the top of the heap. The elements __first * and __last-1 are swapped and [__first,__last-1) is made into a * heap. / template<typename _RandomAccessIterator> inline void pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last) { // concept requirements __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept< _RandomAccessIterator>) __glibcxx_function_requires(_LessThanComparableConcept< typename iterator_traits<_RandomAccessIterator>::value_type>) __glibcxx_requires_non_empty_range(__first, __last); __glibcxx_requires_valid_range(__first, __last); __glibcxx_requires_irreflexive(__first, __last); __glibcxx_requires_heap(__first, __last); if (__last - __first > 1) { --__last; __gnu_cxx::__ops::_Iter_less_iter __comp; std::__pop_heap(__first, __last, __last, __comp); } } /* * @brief Pop an element off a heap using comparison functor. * @param __first Start of heap. * @param __last End of heap. * @param __comp Comparison functor to use. * @ingroup heap_algorithms * * This operation pops the top of the heap. The elements __first * and __last-1 are swapped and [__first,__last-1) is made into a * heap. Comparisons are made using comp. / template<typename _RandomAccessIterator, typename _Compare> inline void pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp) { // concept requirements __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept< _RandomAccessIterator>) __glibcxx_requires_valid_range(__first, __last); __glibcxx_requires_irreflexive_pred(__first, __last, __comp); __glibcxx_requires_non_empty_range(__first, __last); __glibcxx_requires_heap_pred(__first, __last, __comp); if (__last - __first > 1) { typedef __decltype(__comp) _Cmp; __gnu_cxx::__ops::_Iter_comp_iter<_Cmp> __cmp(_GLIBCXX_MOVE(__comp)); --__last; std::__pop_heap(__first, __last, __last, __cmp); } } template<typename _RandomAccessIterator, typename _Compare> void __make_heap(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare& __comp) { typedef typename iterator_traits<_RandomAccessIterator>::value_type _ValueType; typedef typename iterator_traits<_RandomAccessIterator>::difference_type _DistanceType; if (__last - __first < 2) return; const _DistanceType __len = __last - __first; _DistanceType __parent = (__len - 2) / 2; while (true) { _ValueType __value = _GLIBCXX_MOVE((__first + __parent)); std::__adjust_heap(__first, __parent, __len, _GLIBCXX_MOVE(__value), __comp); if (__parent == 0) return; __parent--; } } /** * @brief Construct a heap over a range. * @param __first Start of heap. * @param __last End of heap. * @ingroup heap_algorithms * * This operation makes the elements in [__first,__last) into a heap. / template<typename _RandomAccessIterator> inline void make_heap(_RandomAccessIterator __first, _RandomAccessIterator __last) { // concept requirements __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept< _RandomAccessIterator>) __glibcxx_function_requires(_LessThanComparableConcept< typename iterator_traits<_RandomAccessIterator>::value_type>) __glibcxx_requires_valid_range(__first, __last); __glibcxx_requires_irreflexive(__first, __last); __gnu_cxx::__ops::_Iter_less_iter __comp; std::__make_heap(__first, __last, __comp); } /* * @brief Construct a heap over a range using comparison functor. * @param __first Start of heap. * @param __last End of heap. * @param __comp Comparison functor to use. * @ingroup heap_algorithms * * This operation makes the elements in [__first,__last) into a heap. * Comparisons are made using __comp. / template<typename _RandomAccessIterator, typename _Compare> inline void make_heap(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp) { // concept requirements __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept< _RandomAccessIterator>) __glibcxx_requires_valid_range(__first, __last); __glibcxx_requires_irreflexive_pred(__first, __last, __comp); typedef __decltype(__comp) _Cmp; __gnu_cxx::__ops::_Iter_comp_iter<_Cmp> __cmp(_GLIBCXX_MOVE(__comp)); std::__make_heap(__first, __last, __cmp); } template<typename _RandomAccessIterator, typename _Compare> void __sort_heap(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare& __comp) { while (__last - __first > 1) { --__last; std::__pop_heap(__first, __last, __last, __comp); } } /* * @brief Sort a heap. * @param __first Start of heap. * @param __last End of heap. * @ingroup heap_algorithms * * This operation sorts the valid heap in the range [__first,__last). / template<typename _RandomAccessIterator> inline void sort_heap(_RandomAccessIterator __first, _RandomAccessIterator __last) { // concept requirements __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept< _RandomAccessIterator>) __glibcxx_function_requires(_LessThanComparableConcept< typename iterator_traits<_RandomAccessIterator>::value_type>) __glibcxx_requires_valid_range(__first, __last); __glibcxx_requires_irreflexive(__first, __last); __glibcxx_requires_heap(__first, __last); __gnu_cxx::__ops::_Iter_less_iter __comp; std::__sort_heap(__first, __last, __comp); } /* * @brief Sort a heap using comparison functor. * @param __first Start of heap. * @param __last End of heap. * @param __comp Comparison functor to use. * @ingroup heap_algorithms * * This operation sorts the valid heap in the range [__first,__last). * Comparisons are made using __comp. / template<typename _RandomAccessIterator, typename _Compare> inline void sort_heap(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp) { // concept requirements __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept< _RandomAccessIterator>) __glibcxx_requires_valid_range(__first, __last); __glibcxx_requires_irreflexive_pred(__first, __last, __comp); __glibcxx_requires_heap_pred(__first, __last, __comp); typedef __decltype(__comp) _Cmp; __gnu_cxx::__ops::_Iter_comp_iter<_Cmp> __cmp(_GLIBCXX_MOVE(__comp)); std::__sort_heap(__first, __last, __cmp); } #if __cplusplus >= 201103L /* * @brief Search the end of a heap. * @param __first Start of range. * @param __last End of range. * @return An iterator pointing to the first element not in the heap. * @ingroup heap_algorithms * * This operation returns the last iterator i in [__first, __last) for which * the range [__first, i) is a heap. / template<typename _RandomAccessIterator> inline _RandomAccessIterator is_heap_until(_RandomAccessIterator __first, _RandomAccessIterator __last) { // concept requirements __glibcxx_function_requires(_RandomAccessIteratorConcept< _RandomAccessIterator>) __glibcxx_function_requires(_LessThanComparableConcept< typename iterator_traits<_RandomAccessIterator>::value_type>) __glibcxx_requires_valid_range(__first, __last); __glibcxx_requires_irreflexive(__first, __last); __gnu_cxx::__ops::_Iter_less_iter __comp; return __first + std::__is_heap_until(__first, std::distance(__first, __last), __comp); } /* * @brief Search the end of a heap using comparison functor. * @param __first Start of range. * @param __last End of range. * @param __comp Comparison functor to use. * @return An iterator pointing to the first element not in the heap. * @ingroup heap_algorithms * * This operation returns the last iterator i in [__first, __last) for which * the range [__first, i) is a heap. Comparisons are made using __comp. / template<typename _RandomAccessIterator, typename _Compare> inline _RandomAccessIterator is_heap_until(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp) { // concept requirements __glibcxx_function_requires(_RandomAccessIteratorConcept< _RandomAccessIterator>) __glibcxx_requires_valid_range(__first, __last); __glibcxx_requires_irreflexive_pred(__first, __last, __comp); typedef __decltype(__comp) _Cmp; __gnu_cxx::__ops::_Iter_comp_iter<_Cmp> __cmp(_GLIBCXX_MOVE(__comp)); return __first + std::__is_heap_until(__first, std::distance(__first, __last), __cmp); } /* * @brief Determines whether a range is a heap. * @param __first Start of range. * @param __last End of range. * @return True if range is a heap, false otherwise. * @ingroup heap_algorithms / template<typename _RandomAccessIterator> inline bool is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last) { return std::is_heap_until(__first, __last) == __last; } /* * @brief Determines whether a range is a heap using comparison functor. * @param __first Start of range. * @param __last End of range. * @param __comp Comparison functor to use. * @return True if range is a heap, false otherwise. * @ingroup heap_algorithms / template<typename _RandomAccessIterator, typename _Compare> inline bool is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last, _Compare __comp) { // concept requirements __glibcxx_function_requires(_RandomAccessIteratorConcept< _RandomAccessIterator>) __glibcxx_requires_valid_range(__first, __last); __glibcxx_requires_irreflexive_pred(__first, __last, __comp); const auto __dist = std::distance(__first, __last); typedef __decltype(__comp) _Cmp; __gnu_cxx::__ops::_Iter_comp_iter<_Cmp> __cmp(_GLIBCXX_MOVE(__comp)); return std::__is_heap_until(__first, __dist, __cmp) == __dist; } #endif _GLIBCXX_END_NAMESPACE_VERSION } // namespace #endif / _STL_HEAP_H */ Back

Edit File : stl_heap.h | Size : 19.73 KB

// Heap implementation -*- C++ -*-

// Copyright (C) 2001-2018 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/>.

/*
 *
 * Copyright (c) 1994
 * Hewlett-Packard Company
 *
 * Permission to use, copy, modify, distribute and sell this software
 * and its documentation for any purpose is hereby granted without fee,
 * provided that the above copyright notice appear in all copies and
 * that both that copyright notice and this permission notice appear
 * in supporting documentation.  Hewlett-Packard Company makes no
 * representations about the suitability of this software for any
 * purpose.  It is provided "as is" without express or implied warranty.
 *
 * Copyright (c) 1997
 * Silicon Graphics Computer Systems, Inc.
 *
 * Permission to use, copy, modify, distribute and sell this software
 * and its documentation for any purpose is hereby granted without fee,
 * provided that the above copyright notice appear in all copies and
 * that both that copyright notice and this permission notice appear
 * in supporting documentation.  Silicon Graphics makes no
 * representations about the suitability of this software for any
 * purpose.  It is provided "as is" without express or implied warranty.
 */

/** @file bits/stl_heap.h
 *  This is an internal header file, included by other library headers.
 *  Do not attempt to use it directly. @headername{queue}
 */

#ifndef _STL_HEAP_H
#define _STL_HEAP_H 1

#include <debug/debug.h>
#include <bits/move.h>
#include <bits/predefined_ops.h>

namespace std _GLIBCXX_VISIBILITY(default)
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION

/**
   * @defgroup heap_algorithms Heap
   * @ingroup sorting_algorithms
   */

template<typename _RandomAccessIterator, typename _Distance,
	   typename _Compare>
    _Distance
    __is_heap_until(_RandomAccessIterator __first, _Distance __n,
		    _Compare& __comp)
    {
      _Distance __parent = 0;
      for (_Distance __child = 1; __child < __n; ++__child)
	{
	  if (__comp(__first + __parent, __first + __child))
	    return __child;
	  if ((__child & 1) == 0)
	    ++__parent;
	}
      return __n;
    }

// __is_heap, a predicate testing whether or not a range is a heap.
  // This function is an extension, not part of the C++ standard.
  template<typename _RandomAccessIterator, typename _Distance>
    inline bool
    __is_heap(_RandomAccessIterator __first, _Distance __n)
    {
      __gnu_cxx::__ops::_Iter_less_iter __comp;
      return std::__is_heap_until(__first, __n, __comp) == __n;
    }

template<typename _RandomAccessIterator, typename _Compare,
	   typename _Distance>
    inline bool
    __is_heap(_RandomAccessIterator __first, _Compare __comp, _Distance __n)
    {
      typedef __decltype(__comp) _Cmp;
      __gnu_cxx::__ops::_Iter_comp_iter<_Cmp> __cmp(_GLIBCXX_MOVE(__comp));
      return std::__is_heap_until(__first, __n, __cmp) == __n;
    }

template<typename _RandomAccessIterator>
    inline bool
    __is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
    { return std::__is_heap(__first, std::distance(__first, __last)); }

template<typename _RandomAccessIterator, typename _Compare>
    inline bool
    __is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
	      _Compare __comp)
    {
      return std::__is_heap(__first, _GLIBCXX_MOVE(__comp),
			    std::distance(__first, __last));
    }

// Heap-manipulation functions: push_heap, pop_heap, make_heap, sort_heap,
  // + is_heap and is_heap_until in C++0x.

template<typename _RandomAccessIterator, typename _Distance, typename _Tp,
	   typename _Compare>
    void
    __push_heap(_RandomAccessIterator __first,
		_Distance __holeIndex, _Distance __topIndex, _Tp __value,
		_Compare& __comp)
    {
      _Distance __parent = (__holeIndex - 1) / 2;
      while (__holeIndex > __topIndex && __comp(__first + __parent, __value))
	{
	  *(__first + __holeIndex) = _GLIBCXX_MOVE(*(__first + __parent));
	  __holeIndex = __parent;
	  __parent = (__holeIndex - 1) / 2;
	}
      *(__first + __holeIndex) = _GLIBCXX_MOVE(__value);
    }

/**
   *  @brief  Push an element onto a heap.
   *  @param  __first  Start of heap.
   *  @param  __last   End of heap + element.
   *  @ingroup heap_algorithms
   *
   *  This operation pushes the element at last-1 onto the valid heap
   *  over the range [__first,__last-1).  After completion,
   *  [__first,__last) is a valid heap.
  */
  template<typename _RandomAccessIterator>
    inline void
    push_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
    {
      typedef typename iterator_traits<_RandomAccessIterator>::value_type
	  _ValueType;
      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
	  _DistanceType;

// concept requirements
      __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
	    _RandomAccessIterator>)
      __glibcxx_function_requires(_LessThanComparableConcept<_ValueType>)
      __glibcxx_requires_valid_range(__first, __last);
      __glibcxx_requires_irreflexive(__first, __last);
      __glibcxx_requires_heap(__first, __last - 1);

__gnu_cxx::__ops::_Iter_less_val __comp;
      _ValueType __value = _GLIBCXX_MOVE(*(__last - 1));
      std::__push_heap(__first, _DistanceType((__last - __first) - 1),
		       _DistanceType(0), _GLIBCXX_MOVE(__value), __comp);
    }

/**
   *  @brief  Push an element onto a heap using comparison functor.
   *  @param  __first  Start of heap.
   *  @param  __last   End of heap + element.
   *  @param  __comp   Comparison functor.
   *  @ingroup heap_algorithms
   *
   *  This operation pushes the element at __last-1 onto the valid
   *  heap over the range [__first,__last-1).  After completion,
   *  [__first,__last) is a valid heap.  Compare operations are
   *  performed using comp.
  */
  template<typename _RandomAccessIterator, typename _Compare>
    inline void
    push_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
	      _Compare __comp)
    {
      typedef typename iterator_traits<_RandomAccessIterator>::value_type
	  _ValueType;
      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
	  _DistanceType;

// concept requirements
      __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
	    _RandomAccessIterator>)
      __glibcxx_requires_valid_range(__first, __last);
      __glibcxx_requires_irreflexive_pred(__first, __last, __comp);
      __glibcxx_requires_heap_pred(__first, __last - 1, __comp);

__decltype(__gnu_cxx::__ops::__iter_comp_val(_GLIBCXX_MOVE(__comp)))
	__cmp(_GLIBCXX_MOVE(__comp));
      _ValueType __value = _GLIBCXX_MOVE(*(__last - 1));
      std::__push_heap(__first, _DistanceType((__last - __first) - 1),
		       _DistanceType(0), _GLIBCXX_MOVE(__value), __cmp);
    }

template<typename _RandomAccessIterator, typename _Distance,
	   typename _Tp, typename _Compare>
    void
    __adjust_heap(_RandomAccessIterator __first, _Distance __holeIndex,
		  _Distance __len, _Tp __value, _Compare __comp)
    {
      const _Distance __topIndex = __holeIndex;
      _Distance __secondChild = __holeIndex;
      while (__secondChild < (__len - 1) / 2)
	{
	  __secondChild = 2 * (__secondChild + 1);
	  if (__comp(__first + __secondChild,
		     __first + (__secondChild - 1)))
	    __secondChild--;
	  *(__first + __holeIndex) = _GLIBCXX_MOVE(*(__first + __secondChild));
	  __holeIndex = __secondChild;
	}
      if ((__len & 1) == 0 && __secondChild == (__len - 2) / 2)
	{
	  __secondChild = 2 * (__secondChild + 1);
	  *(__first + __holeIndex) = _GLIBCXX_MOVE(*(__first
						     + (__secondChild - 1)));
	  __holeIndex = __secondChild - 1;
	}
      __decltype(__gnu_cxx::__ops::__iter_comp_val(_GLIBCXX_MOVE(__comp)))
	__cmp(_GLIBCXX_MOVE(__comp));
      std::__push_heap(__first, __holeIndex, __topIndex,
		       _GLIBCXX_MOVE(__value), __cmp);
    }

template<typename _RandomAccessIterator, typename _Compare>
    inline void
    __pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
	       _RandomAccessIterator __result, _Compare& __comp)
    {
      typedef typename iterator_traits<_RandomAccessIterator>::value_type
	_ValueType;
      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
	_DistanceType;

_ValueType __value = _GLIBCXX_MOVE(*__result);
      *__result = _GLIBCXX_MOVE(*__first);
      std::__adjust_heap(__first, _DistanceType(0),
			 _DistanceType(__last - __first),
			 _GLIBCXX_MOVE(__value), __comp);
    }

/**
   *  @brief  Pop an element off a heap.
   *  @param  __first  Start of heap.
   *  @param  __last   End of heap.
   *  @pre    [__first, __last) is a valid, non-empty range.
   *  @ingroup heap_algorithms
   *
   *  This operation pops the top of the heap.  The elements __first
   *  and __last-1 are swapped and [__first,__last-1) is made into a
   *  heap.
  */
  template<typename _RandomAccessIterator>
    inline void
    pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
    {
      // concept requirements
      __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
	    _RandomAccessIterator>)
      __glibcxx_function_requires(_LessThanComparableConcept<
	typename iterator_traits<_RandomAccessIterator>::value_type>)
      __glibcxx_requires_non_empty_range(__first, __last);
      __glibcxx_requires_valid_range(__first, __last);
      __glibcxx_requires_irreflexive(__first, __last);
      __glibcxx_requires_heap(__first, __last);

if (__last - __first > 1)
	{
	  --__last;
	  __gnu_cxx::__ops::_Iter_less_iter __comp;
	  std::__pop_heap(__first, __last, __last, __comp);
	}
    }

/**
   *  @brief  Pop an element off a heap using comparison functor.
   *  @param  __first  Start of heap.
   *  @param  __last   End of heap.
   *  @param  __comp   Comparison functor to use.
   *  @ingroup heap_algorithms
   *
   *  This operation pops the top of the heap.  The elements __first
   *  and __last-1 are swapped and [__first,__last-1) is made into a
   *  heap.  Comparisons are made using comp.
  */
  template<typename _RandomAccessIterator, typename _Compare>
    inline void
    pop_heap(_RandomAccessIterator __first,
	     _RandomAccessIterator __last, _Compare __comp)
    {
      // concept requirements
      __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
	    _RandomAccessIterator>)
      __glibcxx_requires_valid_range(__first, __last);
      __glibcxx_requires_irreflexive_pred(__first, __last, __comp);
      __glibcxx_requires_non_empty_range(__first, __last);
      __glibcxx_requires_heap_pred(__first, __last, __comp);

if (__last - __first > 1)
	{
	  typedef __decltype(__comp) _Cmp;
	  __gnu_cxx::__ops::_Iter_comp_iter<_Cmp> __cmp(_GLIBCXX_MOVE(__comp));
	  --__last;
	  std::__pop_heap(__first, __last, __last, __cmp);
	}
    }

template<typename _RandomAccessIterator, typename _Compare>
    void
    __make_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
		_Compare& __comp)
    {
      typedef typename iterator_traits<_RandomAccessIterator>::value_type
	  _ValueType;
      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
	  _DistanceType;

if (__last - __first < 2)
	return;

const _DistanceType __len = __last - __first;
      _DistanceType __parent = (__len - 2) / 2;
      while (true)
	{
	  _ValueType __value = _GLIBCXX_MOVE(*(__first + __parent));
	  std::__adjust_heap(__first, __parent, __len, _GLIBCXX_MOVE(__value),
			     __comp);
	  if (__parent == 0)
	    return;
	  __parent--;
	}
    }
  
  /**
   *  @brief  Construct a heap over a range.
   *  @param  __first  Start of heap.
   *  @param  __last   End of heap.
   *  @ingroup heap_algorithms
   *
   *  This operation makes the elements in [__first,__last) into a heap.
  */
  template<typename _RandomAccessIterator>
    inline void
    make_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
    {
      // concept requirements
      __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
	    _RandomAccessIterator>)
      __glibcxx_function_requires(_LessThanComparableConcept<
	    typename iterator_traits<_RandomAccessIterator>::value_type>)
      __glibcxx_requires_valid_range(__first, __last);
      __glibcxx_requires_irreflexive(__first, __last);

__gnu_cxx::__ops::_Iter_less_iter __comp;
      std::__make_heap(__first, __last, __comp);
    }

/**
   *  @brief  Construct a heap over a range using comparison functor.
   *  @param  __first  Start of heap.
   *  @param  __last   End of heap.
   *  @param  __comp   Comparison functor to use.
   *  @ingroup heap_algorithms
   *
   *  This operation makes the elements in [__first,__last) into a heap.
   *  Comparisons are made using __comp.
  */
  template<typename _RandomAccessIterator, typename _Compare>
    inline void
    make_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
	      _Compare __comp)
    {
      // concept requirements
      __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
	    _RandomAccessIterator>)
      __glibcxx_requires_valid_range(__first, __last);
      __glibcxx_requires_irreflexive_pred(__first, __last, __comp);

typedef __decltype(__comp) _Cmp;
      __gnu_cxx::__ops::_Iter_comp_iter<_Cmp> __cmp(_GLIBCXX_MOVE(__comp));
      std::__make_heap(__first, __last, __cmp);
    }

template<typename _RandomAccessIterator, typename _Compare>
    void
    __sort_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
		_Compare& __comp)
    {
      while (__last - __first > 1)
	{
	  --__last;
	  std::__pop_heap(__first, __last, __last, __comp);
	}
    }

/**
   *  @brief  Sort a heap.
   *  @param  __first  Start of heap.
   *  @param  __last   End of heap.
   *  @ingroup heap_algorithms
   *
   *  This operation sorts the valid heap in the range [__first,__last).
  */
  template<typename _RandomAccessIterator>
    inline void
    sort_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
    {
      // concept requirements
      __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
	    _RandomAccessIterator>)
      __glibcxx_function_requires(_LessThanComparableConcept<
	    typename iterator_traits<_RandomAccessIterator>::value_type>)
      __glibcxx_requires_valid_range(__first, __last);
      __glibcxx_requires_irreflexive(__first, __last);
      __glibcxx_requires_heap(__first, __last);

__gnu_cxx::__ops::_Iter_less_iter __comp;
      std::__sort_heap(__first, __last, __comp);
    }

/**
   *  @brief  Sort a heap using comparison functor.
   *  @param  __first  Start of heap.
   *  @param  __last   End of heap.
   *  @param  __comp   Comparison functor to use.
   *  @ingroup heap_algorithms
   *
   *  This operation sorts the valid heap in the range [__first,__last).
   *  Comparisons are made using __comp.
  */
  template<typename _RandomAccessIterator, typename _Compare>
    inline void
    sort_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
	      _Compare __comp)
    {
      // concept requirements
      __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
	    _RandomAccessIterator>)
      __glibcxx_requires_valid_range(__first, __last);
      __glibcxx_requires_irreflexive_pred(__first, __last, __comp);
      __glibcxx_requires_heap_pred(__first, __last, __comp);

typedef __decltype(__comp) _Cmp;
      __gnu_cxx::__ops::_Iter_comp_iter<_Cmp> __cmp(_GLIBCXX_MOVE(__comp));
      std::__sort_heap(__first, __last, __cmp);
    }

#if __cplusplus >= 201103L
  /**
   *  @brief  Search the end of a heap.
   *  @param  __first  Start of range.
   *  @param  __last   End of range.
   *  @return  An iterator pointing to the first element not in the heap.
   *  @ingroup heap_algorithms
   *
   *  This operation returns the last iterator i in [__first, __last) for which
   *  the range [__first, i) is a heap.
  */
  template<typename _RandomAccessIterator>
    inline _RandomAccessIterator
    is_heap_until(_RandomAccessIterator __first, _RandomAccessIterator __last)
    {
      // concept requirements
      __glibcxx_function_requires(_RandomAccessIteratorConcept<
	    _RandomAccessIterator>)
      __glibcxx_function_requires(_LessThanComparableConcept<
	    typename iterator_traits<_RandomAccessIterator>::value_type>)
      __glibcxx_requires_valid_range(__first, __last);
      __glibcxx_requires_irreflexive(__first, __last);

__gnu_cxx::__ops::_Iter_less_iter __comp;
      return __first + 
	std::__is_heap_until(__first, std::distance(__first, __last), __comp);
    }

/**
   *  @brief  Search the end of a heap using comparison functor.
   *  @param  __first  Start of range.
   *  @param  __last   End of range.
   *  @param  __comp   Comparison functor to use.
   *  @return  An iterator pointing to the first element not in the heap.
   *  @ingroup heap_algorithms
   *
   *  This operation returns the last iterator i in [__first, __last) for which
   *  the range [__first, i) is a heap.  Comparisons are made using __comp.
  */
  template<typename _RandomAccessIterator, typename _Compare>
    inline _RandomAccessIterator
    is_heap_until(_RandomAccessIterator __first, _RandomAccessIterator __last,
		  _Compare __comp)
    {
      // concept requirements
      __glibcxx_function_requires(_RandomAccessIteratorConcept<
	    _RandomAccessIterator>)
      __glibcxx_requires_valid_range(__first, __last);
      __glibcxx_requires_irreflexive_pred(__first, __last, __comp);

typedef __decltype(__comp) _Cmp;
      __gnu_cxx::__ops::_Iter_comp_iter<_Cmp> __cmp(_GLIBCXX_MOVE(__comp));
      return __first
	+ std::__is_heap_until(__first, std::distance(__first, __last), __cmp);
    }

/**
   *  @brief  Determines whether a range is a heap.
   *  @param  __first  Start of range.
   *  @param  __last   End of range.
   *  @return  True if range is a heap, false otherwise.
   *  @ingroup heap_algorithms
  */
  template<typename _RandomAccessIterator>
    inline bool
    is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
    { return std::is_heap_until(__first, __last) == __last; }

/**
   *  @brief  Determines whether a range is a heap using comparison functor.
   *  @param  __first  Start of range.
   *  @param  __last   End of range.
   *  @param  __comp   Comparison functor to use.
   *  @return  True if range is a heap, false otherwise.
   *  @ingroup heap_algorithms
  */
  template<typename _RandomAccessIterator, typename _Compare>
    inline bool
    is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
	    _Compare __comp)
    {
      // concept requirements
      __glibcxx_function_requires(_RandomAccessIteratorConcept<
	    _RandomAccessIterator>)
      __glibcxx_requires_valid_range(__first, __last);
      __glibcxx_requires_irreflexive_pred(__first, __last, __comp);

const auto __dist = std::distance(__first, __last);
      typedef __decltype(__comp) _Cmp;
      __gnu_cxx::__ops::_Iter_comp_iter<_Cmp> __cmp(_GLIBCXX_MOVE(__comp));
      return std::__is_heap_until(__first, __dist, __cmp) == __dist;
    }
#endif

_GLIBCXX_END_NAMESPACE_VERSION
} // namespace

#endif /* _STL_HEAP_H */

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