541 lines
19 KiB
C++
541 lines
19 KiB
C++
// Heap implementation -*- C++ -*-
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// Copyright (C) 2001-2016 Free Software Foundation, Inc.
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//
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// This file is part of the GNU ISO C++ Library. This library is free
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// software; you can redistribute it and/or modify it under the
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// terms of the GNU General Public License as published by the
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// Free Software Foundation; either version 3, or (at your option)
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// any later version.
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// This library is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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// GNU General Public License for more details.
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// Under Section 7 of GPL version 3, you are granted additional
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// permissions described in the GCC Runtime Library Exception, version
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// 3.1, as published by the Free Software Foundation.
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// You should have received a copy of the GNU General Public License and
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// a copy of the GCC Runtime Library Exception along with this program;
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// see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
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// <http://www.gnu.org/licenses/>.
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/*
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*
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* Copyright (c) 1994
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* Hewlett-Packard Company
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*
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* Permission to use, copy, modify, distribute and sell this software
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* and its documentation for any purpose is hereby granted without fee,
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* provided that the above copyright notice appear in all copies and
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* that both that copyright notice and this permission notice appear
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* in supporting documentation. Hewlett-Packard Company makes no
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* representations about the suitability of this software for any
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* purpose. It is provided "as is" without express or implied warranty.
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*
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* Copyright (c) 1997
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* Silicon Graphics Computer Systems, Inc.
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*
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* Permission to use, copy, modify, distribute and sell this software
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* and its documentation for any purpose is hereby granted without fee,
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* provided that the above copyright notice appear in all copies and
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* that both that copyright notice and this permission notice appear
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* in supporting documentation. Silicon Graphics makes no
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* representations about the suitability of this software for any
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* purpose. It is provided "as is" without express or implied warranty.
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*/
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/** @file bits/stl_heap.h
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* This is an internal header file, included by other library headers.
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* Do not attempt to use it directly. @headername{queue}
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*/
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#ifndef _STL_HEAP_H
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#define _STL_HEAP_H 1
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#include <debug/debug.h>
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#include <bits/move.h>
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#include <bits/predefined_ops.h>
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namespace std _GLIBCXX_VISIBILITY(default)
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{
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_GLIBCXX_BEGIN_NAMESPACE_VERSION
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/**
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* @defgroup heap_algorithms Heap
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* @ingroup sorting_algorithms
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*/
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template<typename _RandomAccessIterator, typename _Distance,
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typename _Compare>
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_Distance
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__is_heap_until(_RandomAccessIterator __first, _Distance __n,
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_Compare __comp)
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{
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_Distance __parent = 0;
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for (_Distance __child = 1; __child < __n; ++__child)
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{
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if (__comp(__first + __parent, __first + __child))
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return __child;
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if ((__child & 1) == 0)
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++__parent;
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}
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return __n;
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}
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// __is_heap, a predicate testing whether or not a range is a heap.
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// This function is an extension, not part of the C++ standard.
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template<typename _RandomAccessIterator, typename _Distance>
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inline bool
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__is_heap(_RandomAccessIterator __first, _Distance __n)
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{
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return std::__is_heap_until(__first, __n,
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__gnu_cxx::__ops::__iter_less_iter()) == __n;
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}
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template<typename _RandomAccessIterator, typename _Compare,
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typename _Distance>
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inline bool
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__is_heap(_RandomAccessIterator __first, _Compare __comp, _Distance __n)
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{
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return std::__is_heap_until(__first, __n,
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__gnu_cxx::__ops::__iter_comp_iter(__comp)) == __n;
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}
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template<typename _RandomAccessIterator>
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inline bool
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__is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
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{ return std::__is_heap(__first, std::distance(__first, __last)); }
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template<typename _RandomAccessIterator, typename _Compare>
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inline bool
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__is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
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_Compare __comp)
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{ return std::__is_heap(__first, __comp, std::distance(__first, __last)); }
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// Heap-manipulation functions: push_heap, pop_heap, make_heap, sort_heap,
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// + is_heap and is_heap_until in C++0x.
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template<typename _RandomAccessIterator, typename _Distance, typename _Tp,
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typename _Compare>
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void
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__push_heap(_RandomAccessIterator __first,
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_Distance __holeIndex, _Distance __topIndex, _Tp __value,
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_Compare __comp)
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{
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_Distance __parent = (__holeIndex - 1) / 2;
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while (__holeIndex > __topIndex && __comp(__first + __parent, __value))
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{
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*(__first + __holeIndex) = _GLIBCXX_MOVE(*(__first + __parent));
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__holeIndex = __parent;
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__parent = (__holeIndex - 1) / 2;
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}
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*(__first + __holeIndex) = _GLIBCXX_MOVE(__value);
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}
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/**
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* @brief Push an element onto a heap.
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* @param __first Start of heap.
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* @param __last End of heap + element.
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* @ingroup heap_algorithms
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*
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* This operation pushes the element at last-1 onto the valid heap
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* over the range [__first,__last-1). After completion,
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* [__first,__last) is a valid heap.
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*/
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template<typename _RandomAccessIterator>
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inline void
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push_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
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{
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typedef typename iterator_traits<_RandomAccessIterator>::value_type
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_ValueType;
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typedef typename iterator_traits<_RandomAccessIterator>::difference_type
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_DistanceType;
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// concept requirements
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__glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
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_RandomAccessIterator>)
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__glibcxx_function_requires(_LessThanComparableConcept<_ValueType>)
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__glibcxx_requires_valid_range(__first, __last);
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__glibcxx_requires_irreflexive(__first, __last);
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__glibcxx_requires_heap(__first, __last - 1);
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_ValueType __value = _GLIBCXX_MOVE(*(__last - 1));
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std::__push_heap(__first, _DistanceType((__last - __first) - 1),
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_DistanceType(0), _GLIBCXX_MOVE(__value),
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__gnu_cxx::__ops::__iter_less_val());
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}
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/**
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* @brief Push an element onto a heap using comparison functor.
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* @param __first Start of heap.
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* @param __last End of heap + element.
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* @param __comp Comparison functor.
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* @ingroup heap_algorithms
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*
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* This operation pushes the element at __last-1 onto the valid
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* heap over the range [__first,__last-1). After completion,
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* [__first,__last) is a valid heap. Compare operations are
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* performed using comp.
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*/
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template<typename _RandomAccessIterator, typename _Compare>
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inline void
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push_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
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_Compare __comp)
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{
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typedef typename iterator_traits<_RandomAccessIterator>::value_type
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_ValueType;
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typedef typename iterator_traits<_RandomAccessIterator>::difference_type
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_DistanceType;
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// concept requirements
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__glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
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_RandomAccessIterator>)
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__glibcxx_requires_valid_range(__first, __last);
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__glibcxx_requires_irreflexive_pred(__first, __last, __comp);
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__glibcxx_requires_heap_pred(__first, __last - 1, __comp);
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_ValueType __value = _GLIBCXX_MOVE(*(__last - 1));
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std::__push_heap(__first, _DistanceType((__last - __first) - 1),
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_DistanceType(0), _GLIBCXX_MOVE(__value),
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__gnu_cxx::__ops::__iter_comp_val(__comp));
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}
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template<typename _RandomAccessIterator, typename _Distance,
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typename _Tp, typename _Compare>
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void
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__adjust_heap(_RandomAccessIterator __first, _Distance __holeIndex,
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_Distance __len, _Tp __value, _Compare __comp)
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{
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const _Distance __topIndex = __holeIndex;
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_Distance __secondChild = __holeIndex;
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while (__secondChild < (__len - 1) / 2)
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{
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__secondChild = 2 * (__secondChild + 1);
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if (__comp(__first + __secondChild,
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__first + (__secondChild - 1)))
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__secondChild--;
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*(__first + __holeIndex) = _GLIBCXX_MOVE(*(__first + __secondChild));
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__holeIndex = __secondChild;
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}
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if ((__len & 1) == 0 && __secondChild == (__len - 2) / 2)
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{
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__secondChild = 2 * (__secondChild + 1);
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*(__first + __holeIndex) = _GLIBCXX_MOVE(*(__first
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+ (__secondChild - 1)));
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__holeIndex = __secondChild - 1;
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}
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std::__push_heap(__first, __holeIndex, __topIndex,
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_GLIBCXX_MOVE(__value),
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__gnu_cxx::__ops::__iter_comp_val(__comp));
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}
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template<typename _RandomAccessIterator, typename _Compare>
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inline void
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__pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
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_RandomAccessIterator __result, _Compare __comp)
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{
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typedef typename iterator_traits<_RandomAccessIterator>::value_type
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_ValueType;
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typedef typename iterator_traits<_RandomAccessIterator>::difference_type
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_DistanceType;
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_ValueType __value = _GLIBCXX_MOVE(*__result);
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*__result = _GLIBCXX_MOVE(*__first);
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std::__adjust_heap(__first, _DistanceType(0),
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_DistanceType(__last - __first),
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_GLIBCXX_MOVE(__value), __comp);
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}
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/**
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* @brief Pop an element off a heap.
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* @param __first Start of heap.
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* @param __last End of heap.
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* @pre [__first, __last) is a valid, non-empty range.
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* @ingroup heap_algorithms
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*
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* This operation pops the top of the heap. The elements __first
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* and __last-1 are swapped and [__first,__last-1) is made into a
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* heap.
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*/
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template<typename _RandomAccessIterator>
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inline void
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pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
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{
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// concept requirements
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__glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
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_RandomAccessIterator>)
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__glibcxx_function_requires(_LessThanComparableConcept<
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typename iterator_traits<_RandomAccessIterator>::value_type>)
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__glibcxx_requires_non_empty_range(__first, __last);
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__glibcxx_requires_valid_range(__first, __last);
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__glibcxx_requires_irreflexive(__first, __last);
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__glibcxx_requires_heap(__first, __last);
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if (__last - __first > 1)
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{
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--__last;
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std::__pop_heap(__first, __last, __last,
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__gnu_cxx::__ops::__iter_less_iter());
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}
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}
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/**
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* @brief Pop an element off a heap using comparison functor.
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* @param __first Start of heap.
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* @param __last End of heap.
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* @param __comp Comparison functor to use.
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* @ingroup heap_algorithms
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*
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* This operation pops the top of the heap. The elements __first
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* and __last-1 are swapped and [__first,__last-1) is made into a
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* heap. Comparisons are made using comp.
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*/
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template<typename _RandomAccessIterator, typename _Compare>
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inline void
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pop_heap(_RandomAccessIterator __first,
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_RandomAccessIterator __last, _Compare __comp)
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{
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// concept requirements
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__glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
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_RandomAccessIterator>)
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__glibcxx_requires_valid_range(__first, __last);
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__glibcxx_requires_irreflexive_pred(__first, __last, __comp);
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__glibcxx_requires_non_empty_range(__first, __last);
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__glibcxx_requires_heap_pred(__first, __last, __comp);
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if (__last - __first > 1)
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{
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--__last;
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std::__pop_heap(__first, __last, __last,
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__gnu_cxx::__ops::__iter_comp_iter(__comp));
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}
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}
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template<typename _RandomAccessIterator, typename _Compare>
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void
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__make_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
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_Compare __comp)
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{
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typedef typename iterator_traits<_RandomAccessIterator>::value_type
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_ValueType;
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typedef typename iterator_traits<_RandomAccessIterator>::difference_type
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_DistanceType;
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if (__last - __first < 2)
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return;
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const _DistanceType __len = __last - __first;
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_DistanceType __parent = (__len - 2) / 2;
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while (true)
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{
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_ValueType __value = _GLIBCXX_MOVE(*(__first + __parent));
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std::__adjust_heap(__first, __parent, __len, _GLIBCXX_MOVE(__value),
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__comp);
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if (__parent == 0)
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return;
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__parent--;
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}
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}
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/**
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* @brief Construct a heap over a range.
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* @param __first Start of heap.
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* @param __last End of heap.
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* @ingroup heap_algorithms
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*
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* This operation makes the elements in [__first,__last) into a heap.
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*/
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template<typename _RandomAccessIterator>
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inline void
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make_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
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{
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// concept requirements
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__glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
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_RandomAccessIterator>)
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__glibcxx_function_requires(_LessThanComparableConcept<
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typename iterator_traits<_RandomAccessIterator>::value_type>)
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__glibcxx_requires_valid_range(__first, __last);
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__glibcxx_requires_irreflexive(__first, __last);
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std::__make_heap(__first, __last,
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__gnu_cxx::__ops::__iter_less_iter());
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}
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/**
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* @brief Construct a heap over a range using comparison functor.
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* @param __first Start of heap.
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* @param __last End of heap.
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* @param __comp Comparison functor to use.
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* @ingroup heap_algorithms
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*
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* This operation makes the elements in [__first,__last) into a heap.
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* Comparisons are made using __comp.
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*/
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template<typename _RandomAccessIterator, typename _Compare>
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inline void
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make_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
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_Compare __comp)
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{
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// concept requirements
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__glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
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_RandomAccessIterator>)
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__glibcxx_requires_valid_range(__first, __last);
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__glibcxx_requires_irreflexive_pred(__first, __last, __comp);
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std::__make_heap(__first, __last,
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__gnu_cxx::__ops::__iter_comp_iter(__comp));
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}
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template<typename _RandomAccessIterator, typename _Compare>
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void
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__sort_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
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_Compare __comp)
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{
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while (__last - __first > 1)
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{
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--__last;
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std::__pop_heap(__first, __last, __last, __comp);
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}
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}
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/**
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* @brief Sort a heap.
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* @param __first Start of heap.
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* @param __last End of heap.
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* @ingroup heap_algorithms
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*
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* This operation sorts the valid heap in the range [__first,__last).
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*/
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template<typename _RandomAccessIterator>
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inline void
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sort_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
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{
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// concept requirements
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__glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
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_RandomAccessIterator>)
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__glibcxx_function_requires(_LessThanComparableConcept<
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typename iterator_traits<_RandomAccessIterator>::value_type>)
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__glibcxx_requires_valid_range(__first, __last);
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__glibcxx_requires_irreflexive(__first, __last);
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__glibcxx_requires_heap(__first, __last);
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std::__sort_heap(__first, __last,
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__gnu_cxx::__ops::__iter_less_iter());
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}
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/**
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* @brief Sort a heap using comparison functor.
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* @param __first Start of heap.
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* @param __last End of heap.
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* @param __comp Comparison functor to use.
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* @ingroup heap_algorithms
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*
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* This operation sorts the valid heap in the range [__first,__last).
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* Comparisons are made using __comp.
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*/
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template<typename _RandomAccessIterator, typename _Compare>
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inline void
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sort_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
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_Compare __comp)
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{
|
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// concept requirements
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__glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
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_RandomAccessIterator>)
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__glibcxx_requires_valid_range(__first, __last);
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__glibcxx_requires_irreflexive_pred(__first, __last, __comp);
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__glibcxx_requires_heap_pred(__first, __last, __comp);
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std::__sort_heap(__first, __last,
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__gnu_cxx::__ops::__iter_comp_iter(__comp));
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}
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#if __cplusplus >= 201103L
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/**
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* @brief Search the end of a heap.
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* @param __first Start of range.
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* @param __last End of range.
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* @return An iterator pointing to the first element not in the heap.
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* @ingroup heap_algorithms
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*
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* This operation returns the last iterator i in [__first, __last) for which
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* the range [__first, i) is a heap.
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*/
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template<typename _RandomAccessIterator>
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inline _RandomAccessIterator
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is_heap_until(_RandomAccessIterator __first, _RandomAccessIterator __last)
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{
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// concept requirements
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|
__glibcxx_function_requires(_RandomAccessIteratorConcept<
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_RandomAccessIterator>)
|
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__glibcxx_function_requires(_LessThanComparableConcept<
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typename iterator_traits<_RandomAccessIterator>::value_type>)
|
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__glibcxx_requires_valid_range(__first, __last);
|
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__glibcxx_requires_irreflexive(__first, __last);
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return __first +
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std::__is_heap_until(__first, std::distance(__first, __last),
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__gnu_cxx::__ops::__iter_less_iter());
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}
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|
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/**
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* @brief Search the end of a heap using comparison functor.
|
|
* @param __first Start of range.
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* @param __last End of range.
|
|
* @param __comp Comparison functor to use.
|
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* @return An iterator pointing to the first element not in the heap.
|
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* @ingroup heap_algorithms
|
|
*
|
|
* This operation returns the last iterator i in [__first, __last) for which
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* the range [__first, i) is a heap. Comparisons are made using __comp.
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|
*/
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|
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);
|
|
|
|
return __first
|
|
+ std::__is_heap_until(__first, std::distance(__first, __last),
|
|
__gnu_cxx::__ops::__iter_comp_iter(__comp));
|
|
}
|
|
|
|
/**
|
|
* @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)
|
|
{ return std::is_heap_until(__first, __last, __comp) == __last; }
|
|
#endif
|
|
|
|
_GLIBCXX_END_NAMESPACE_VERSION
|
|
} // namespace
|
|
|
|
#endif /* _STL_HEAP_H */
|