为什么 Python 中 _siftup 和 _siftdown 正好相反?

rec*_*nac 3 python heap heapq

从维基百科 二叉堆的定义来看,sift-up也称为up-heap操作,sift-down称为down-heap

所以在堆(完全二叉树)中,up表示从叶到根,down表示从根到叶。

但在Python中,情况似乎恰恰相反。siftup我对and的含义感到困惑siftdown,并且在第一次使用时被误用。

_siftdown以下是和_siftup中的 python 版本实现heapq

# 'heap' is a heap at all indices >= startpos, except possibly for pos.  pos
# is the index of a leaf with a possibly out-of-order value.  Restore the
# heap invariant.
def _siftdown(heap, startpos, pos):
    newitem = heap[pos]
    # Follow the path to the root, moving parents down until finding a place
    # newitem fits.
    while pos > startpos:
        parentpos = (pos - 1) >> 1
        parent = heap[parentpos]
        if newitem < parent:
            heap[pos] = parent
            pos = parentpos
            continue
        break
    heap[pos] = newitem

def _siftup(heap, pos):
    endpos = len(heap)
    startpos = pos
    newitem = heap[pos]
    # Bubble up the smaller child until hitting a leaf.
    childpos = 2*pos + 1    # leftmost child position
    while childpos < endpos:
        # Set childpos to index of smaller child.
        rightpos = childpos + 1
        if rightpos < endpos and not heap[childpos] < heap[rightpos]:
            childpos = rightpos
        # Move the smaller child up.
        heap[pos] = heap[childpos]
        pos = childpos
        childpos = 2*pos + 1
    # The leaf at pos is empty now.  Put newitem there, and bubble it up
    # to its final resting place (by sifting its parents down).
    heap[pos] = newitem
    _siftdown(heap, startpos, pos)
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为什么在Python中相反?我已经在 wiki 和其他几篇文章中确认了。我有什么遗漏或误解吗?

感谢您的阅读,我真的很感谢它对我的帮助。:)

Tur*_*son 6

查看维基百科页面上的参考资料,我发现了这一点:

请注意,本文使用弗洛伊德最初的术语“siftup”来表示现在所谓的“sifting down”

似乎不同的作者对“上”和“下”有不同的参考。

但是,正如@Dan D 在评论中所写,无论如何你都不应该使用这些函数。