stl_heap.h

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      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
	_Distance;
      *__result = *__first;
      std::__adjust_heap(__first, _Distance(0), _Distance(__last - __first),
			 __value);
    }

  /**
   *  @brief  Pop an element off a heap.
   *  @param  first  Start of heap.
   *  @param  last   End of heap.
   *  @ingroup heap
   *
   *  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)
    {
      typedef typename iterator_traits<_RandomAccessIterator>::value_type
	_ValueType;

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

      std::__pop_heap(__first, __last - 1, __last - 1,
		      _ValueType(*(__last - 1)));
    }

  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 = 2 * __holeIndex + 2;
      while (__secondChild < __len)
	{
	  if (__comp(*(__first + __secondChild),
		     *(__first + (__secondChild - 1))))
	    __secondChild--;
	  *(__first + __holeIndex) = *(__first + __secondChild);
	  __holeIndex = __secondChild;
	  __secondChild = 2 * (__secondChild + 1);
	}
      if (__secondChild == __len)
	{
	  *(__first + __holeIndex) = *(__first + (__secondChild - 1));
	  __holeIndex = __secondChild - 1;
	}
      std::__push_heap(__first, __holeIndex, __topIndex, __value, __comp);
    }

  template<typename _RandomAccessIterator, typename _Tp, typename _Compare>
    inline void
    __pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
	       _RandomAccessIterator __result, _Tp __value, _Compare __comp)
    {
      typedef typename iterator_traits<_RandomAccessIterator>::difference_type
	_Distance;
      *__result = *__first;
      std::__adjust_heap(__first, _Distance(0), _Distance(__last - __first),
			 __value, __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
   *
   *  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_heap_pred(__first, __last, __comp);

      typedef typename iterator_traits<_RandomAccessIterator>::value_type
	_ValueType;
      std::__pop_heap(__first, __last - 1, __last - 1,
		      _ValueType(*(__last - 1)), __comp);
    }

  /**
   *  @brief  Construct a heap over a range.
   *  @param  first  Start of heap.
   *  @param  last   End of heap.
   *  @ingroup heap
   *
   *  This operation makes the elements in [first,last) into a heap.
  */
  template<typename _RandomAccessIterator>
    void
    make_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);

      if (__last - __first < 2)
	return;

      const _DistanceType __len = __last - __first;
      _DistanceType __parent = (__len - 2) / 2;
      while (true)
	{
	  std::__adjust_heap(__first, __parent, __len,
			     _ValueType(*(__first + __parent)));
	  if (__parent == 0)
	    return;
	  __parent--;
	}
    }

  /**
   *  @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
   *
   *  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)
    {
      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);

      if (__last - __first < 2)
	return;

      const _DistanceType __len = __last - __first;
      _DistanceType __parent = (__len - 2) / 2;
      while (true)
	{
	  std::__adjust_heap(__first, __parent, __len,
			     _ValueType(*(__first + __parent)), __comp);
	  if (__parent == 0)
	    return;
	  __parent--;
	}
    }

  /**
   *  @brief  Sort a heap.
   *  @param  first  Start of heap.
   *  @param  last   End of heap.
   *  @ingroup heap
   *
   *  This operation sorts the valid heap in the range [first,last).
  */
  template<typename _RandomAccessIterator>
    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_heap(__first, __last);

      while (__last - __first > 1)
	std::pop_heap(__first, __last--);
    }

  /**
   *  @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
   *
   *  This operation sorts the valid heap in the range [first,last).
   *  Comparisons are made using comp.
  */
  template<typename _RandomAccessIterator, typename _Compare>
    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_heap_pred(__first, __last, __comp);

      while (__last - __first > 1)
	std::pop_heap(__first, __last--, __comp);
    }

} // namespace std

#endif /* _STL_HEAP_H */

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