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4_7_2_stl_heap.h
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314 lines (284 loc) · 10.9 KB
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/*
*
* 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.
*/
/* NOTE: This is an internal header file, included by other STL headers.
* You should not attempt to use it directly.
*/
#ifndef __SGI_STL_INTERNAL_HEAP_H
#define __SGI_STL_INTERNAL_HEAP_H
__STL_BEGIN_NAMESPACE
#if defined(__sgi) && !defined(__GNUC__) && (_MIPS_SIM != _MIPS_SIM_ABI32)
#pragma set woff 1209
#endif
// Heap-manipulation functions: push_heap, pop_heap, make_heap, sort_heap.
// 插入节点后向上调整
template <class _RandomAccessIterator, class _Distance, class _Tp>
void
__push_heap(_RandomAccessIterator __first,
_Distance __holeIndex, _Distance __topIndex, _Tp __value)
{
// 父节点
_Distance __parent = (__holeIndex - 1) / 2;
// 父节点小于新值时进行调整 percolate up
while (__holeIndex > __topIndex && *(__first + __parent) < __value) {
*(__first + __holeIndex) = *(__first + __parent);
__holeIndex = __parent;
__parent = (__holeIndex - 1) / 2;
}
*(__first + __holeIndex) = __value; // 令洞值为新值
}
template <class _RandomAccessIterator, class _Distance, class _Tp>
inline void
__push_heap_aux(_RandomAccessIterator __first,
_RandomAccessIterator __last, _Distance*, _Tp*)
{
__push_heap(__first, _Distance((__last - __first) - 1), _Distance(0),
_Tp(*(__last - 1)));
}
template <class _RandomAccessIterator>
inline void
push_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
{
__STL_REQUIRES(_RandomAccessIterator, _Mutable_RandomAccessIterator);
__STL_REQUIRES(typename iterator_traits<_RandomAccessIterator>::value_type,
_LessThanComparable);
// 调用前,新元素已置于4底部容器的最尾端
__push_heap_aux(__first, __last,
__DISTANCE_TYPE(__first), __VALUE_TYPE(__first));
}
template <class _RandomAccessIterator, class _Distance, class _Tp,
class _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;
}
template <class _RandomAccessIterator, class _Compare,
class _Distance, class _Tp>
inline void
__push_heap_aux(_RandomAccessIterator __first,
_RandomAccessIterator __last, _Compare __comp,
_Distance*, _Tp*)
{
__push_heap(__first, _Distance((__last - __first) - 1), _Distance(0),
_Tp(*(__last - 1)), __comp);
}
template <class _RandomAccessIterator, class _Compare>
inline void
push_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
_Compare __comp)
{
__STL_REQUIRES(_RandomAccessIterator, _Mutable_RandomAccessIterator);
__push_heap_aux(__first, __last, __comp,
__DISTANCE_TYPE(__first), __VALUE_TYPE(__first));
}
template <class _RandomAccessIterator, class _Distance, class _Tp>
void
__adjust_heap(_RandomAccessIterator __first, _Distance __holeIndex,
_Distance __len, _Tp __value)
{
_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;
}
__push_heap(__first, __holeIndex, __topIndex, __value);
}
template <class _RandomAccessIterator, class _Tp, class _Distance>
inline void
__pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
_RandomAccessIterator __result, _Tp __value, _Distance*)
{
*__result = *__first; // 取出结果
__adjust_heap(__first, _Distance(0), _Distance(__last - __first), __value);
}
template <class _RandomAccessIterator, class _Tp>
inline void
__pop_heap_aux(_RandomAccessIterator __first, _RandomAccessIterator __last,
_Tp*)
{
__pop_heap(__first, __last - 1, __last - 1,
_Tp(*(__last - 1)), __DISTANCE_TYPE(__first));
//以上,根据 implicit representation heap的次序特性,pop动作的结果
//应为底部容器的第一个元素。因此,首先设定欲调整值为尾值,然后将首值调至
//尾节点(所以以上将迭代器 result设为 last-1)。然后重整 [first, last-1),
//使之重新成㆒个合格的 heap。
}
// 取出最大值
template <class _RandomAccessIterator>
inline void pop_heap(_RandomAccessIterator __first,
_RandomAccessIterator __last)
{
__STL_REQUIRES(_RandomAccessIterator, _Mutable_RandomAccessIterator);
__STL_REQUIRES(typename iterator_traits<_RandomAccessIterator>::value_type,
_LessThanComparable);
__pop_heap_aux(__first, __last, __VALUE_TYPE(__first));
}
// 调整堆
template <class _RandomAccessIterator, class _Distance,
class _Tp, class _Compare>
void
__adjust_heap(_RandomAccessIterator __first, _Distance __holeIndex,
_Distance __len, _Tp __value, _Compare __comp)
{
_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);
}
// 没有右节点
if (__secondChild == __len) {
*(__first + __holeIndex) = *(__first + (__secondChild - 1));
__holeIndex = __secondChild - 1;
}
__push_heap(__first, __holeIndex, __topIndex, __value, __comp);
}
template <class _RandomAccessIterator, class _Tp, class _Compare,
class _Distance>
inline void
__pop_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
_RandomAccessIterator __result, _Tp __value, _Compare __comp,
_Distance*)
{
*__result = *__first;
__adjust_heap(__first, _Distance(0), _Distance(__last - __first),
__value, __comp);
}
template <class _RandomAccessIterator, class _Tp, class _Compare>
inline void
__pop_heap_aux(_RandomAccessIterator __first,
_RandomAccessIterator __last, _Tp*, _Compare __comp)
{
__pop_heap(__first, __last - 1, __last - 1, _Tp(*(__last - 1)), __comp,
__DISTANCE_TYPE(__first));
}
template <class _RandomAccessIterator, class _Compare>
inline void
pop_heap(_RandomAccessIterator __first,
_RandomAccessIterator __last, _Compare __comp)
{
__STL_REQUIRES(_RandomAccessIterator, _Mutable_RandomAccessIterator);
__pop_heap_aux(__first, __last, __VALUE_TYPE(__first), __comp);
}
template <class _RandomAccessIterator, class _Tp, class _Distance>
void
__make_heap(_RandomAccessIterator __first,
_RandomAccessIterator __last, _Tp*, _Distance*)
{
// 长度为0或1不用排列
if (__last - __first < 2) return;
_Distance __len = __last - __first;
//找出第一个需要重排的子树头部,以 parent标示出。由于任何叶节点都不需执行
// perlocate down,所以有以下计算。parent命名不佳,名为 holeIndex更好。
_Distance __parent = (__len - 2)/2;
while (true) {
__adjust_heap(__first, __parent, __len, _Tp(*(__first + __parent)));
if (__parent == 0) return;
__parent--;
}
}
// 建堆
template <class _RandomAccessIterator>
inline void
make_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
{
__STL_REQUIRES(_RandomAccessIterator, _Mutable_RandomAccessIterator);
__STL_REQUIRES(typename iterator_traits<_RandomAccessIterator>::value_type,
_LessThanComparable);
__make_heap(__first, __last,
__VALUE_TYPE(__first), __DISTANCE_TYPE(__first));
}
template <class _RandomAccessIterator, class _Compare,
class _Tp, class _Distance>
void
__make_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
_Compare __comp, _Tp*, _Distance*)
{
if (__last - __first < 2) return;
_Distance __len = __last - __first;
_Distance __parent = (__len - 2)/2;
while (true) {
__adjust_heap(__first, __parent, __len, _Tp(*(__first + __parent)),
__comp);
if (__parent == 0) return;
__parent--;
}
}
template <class _RandomAccessIterator, class _Compare>
inline void
make_heap(_RandomAccessIterator __first,
_RandomAccessIterator __last, _Compare __comp)
{
__STL_REQUIRES(_RandomAccessIterator, _Mutable_RandomAccessIterator);
__make_heap(__first, __last, __comp,
__VALUE_TYPE(__first), __DISTANCE_TYPE(__first));
}
//每执行一次 pop_heap(),极值(在 STL heap㆗为极大值)即被放在尾端。
//扣除尾端再执行一次 pop_heap(),次极值又被放在新尾端。最后即得
//排序结果。
template <class _RandomAccessIterator>
void sort_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
{
__STL_REQUIRES(_RandomAccessIterator, _Mutable_RandomAccessIterator);
__STL_REQUIRES(typename iterator_traits<_RandomAccessIterator>::value_type,
_LessThanComparable);
while (__last - __first > 1)
pop_heap(__first, __last--);
}
template <class _RandomAccessIterator, class _Compare>
void
sort_heap(_RandomAccessIterator __first,
_RandomAccessIterator __last, _Compare __comp)
{
__STL_REQUIRES(_RandomAccessIterator, _Mutable_RandomAccessIterator);
while (__last - __first > 1)
pop_heap(__first, __last--, __comp);
}
#if defined(__sgi) && !defined(__GNUC__) && (_MIPS_SIM != _MIPS_SIM_ABI32)
#pragma reset woff 1209
#endif
__STL_END_NAMESPACE
#endif /* __SGI_STL_INTERNAL_HEAP_H */
// Local Variables:
// mode:C++
// End: