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- // Heap implementation -*- C++ -*-
-
- // Copyright (C) 2001, 2004 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 2, 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.
-
- // You should have received a copy of the GNU General Public License along
- // with this library; see the file COPYING. If not, write to the Free
- // Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307,
- // USA.
-
- // As a special exception, you may use this file as part of a free software
- // library without restriction. Specifically, if other files instantiate
- // templates or use macros or inline functions from this file, or you compile
- // this file and link it with other files to produce an executable, this
- // file does not by itself cause the resulting executable to be covered by
- // the GNU General Public License. This exception does not however
- // invalidate any other reasons why the executable file might be covered by
- // the GNU General Public License.
-
- /*
- *
- * 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 stl_heap.h
- * This is an internal header file, included by other library headers.
- * You should not attempt to use it directly.
- */
-
- #ifndef _STL_HEAP_H
- #define _STL_HEAP_H 1
-
- #include <debug/debug.h>
-
- namespace std
- {
- // 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>
- bool
- __is_heap(_RandomAccessIterator __first, _Distance __n)
- {
- _Distance __parent = 0;
- for (_Distance __child = 1; __child < __n; ++__child)
- {
- if (__first[__parent] < __first[__child])
- return false;
- if ((__child & 1) == 0)
- ++__parent;
- }
- return true;
- }
-
- template<typename _RandomAccessIterator, typename _Distance,
- typename _StrictWeakOrdering>
- bool
- __is_heap(_RandomAccessIterator __first, _StrictWeakOrdering __comp,
- _Distance __n)
- {
- _Distance __parent = 0;
- for (_Distance __child = 1; __child < __n; ++__child)
- {
- if (__comp(__first[__parent], __first[__child]))
- return false;
- if ((__child & 1) == 0)
- ++__parent;
- }
- return true;
- }
-
- template<typename _RandomAccessIterator>
- bool
- __is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
- { return std::__is_heap(__first, std::distance(__first, __last)); }
-
- template<typename _RandomAccessIterator, typename _StrictWeakOrdering>
- bool
- __is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
- _StrictWeakOrdering __comp)
- { return std::__is_heap(__first, __comp, std::distance(__first, __last)); }
-
- // Heap-manipulation functions: push_heap, pop_heap, make_heap, sort_heap.
-
- template<typename _RandomAccessIterator, typename _Distance, typename _Tp>
- void
- __push_heap(_RandomAccessIterator __first,
- _Distance __holeIndex, _Distance __topIndex, _Tp __value)
- {
- _Distance __parent = (__holeIndex - 1) / 2;
- while (__holeIndex > __topIndex && *(__first + __parent) < __value)
- {
- *(__first + __holeIndex) = *(__first + __parent);
- __holeIndex = __parent;
- __parent = (__holeIndex - 1) / 2;
- }
- *(__first + __holeIndex) = __value;
- }
-
- /**
- * @brief Push an element onto a heap.
- * @param first Start of heap.
- * @param last End of heap + element.
- * @ingroup heap
- *
- * 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_heap(__first, __last - 1);
-
- std::__push_heap(__first, _DistanceType((__last - __first) - 1),
- _DistanceType(0), _ValueType(*(__last - 1)));
- }
-
- 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) = *(__first + __parent);
- __holeIndex = __parent;
- __parent = (__holeIndex - 1) / 2;
- }
- *(__first + __holeIndex) = __value;
- }
-
- /**
- * @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
- *
- * 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_heap_pred(__first, __last - 1, __comp);
-
- std::__push_heap(__first, _DistanceType((__last - __first) - 1),
- _DistanceType(0), _ValueType(*(__last - 1)), __comp);
- }
-
- template<typename _RandomAccessIterator, typename _Distance, typename _Tp>
- void
- __adjust_heap(_RandomAccessIterator __first, _Distance __holeIndex,
- _Distance __len, _Tp __value)
- {
- const _Distance __topIndex = __holeIndex;
- _Distance __secondChild = 2 * __holeIndex + 2;
- while (__secondChild < __len)
- {
- if (*(__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);
- }
-
- template<typename _RandomAccessIterator, typename _Tp>
- inline void
- __pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
- _RandomAccessIterator __result, _Tp __value)
- {
- 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 */
-
- // Local Variables:
- // mode:C++
- // End:
-