New submission from Mathis Hammel <mathis.ham...@gmail.com>:

In case _randbelow_with_getrandbits is called with a power of two as its 
argument (say 2^k), the function will consume k+1 random bits instead of k.

Instead of never being rejected, the sampled number will be rejected on average 
once per call, causing a computational overhead in addition to wasting k+2 bits 
on average.

This is due to taking n.bit_size() instead of (n-1).bit_size() for the size of 
the random candidates. Using n instead of n-1 is apparently deliberate in order 
to save the case where n = 1, but this could be avoided by directly returning 0 
if n == 1.

----------
components: Library (Lib)
messages: 343094
nosy: Mathis Hammel, mark.dickinson, rhettinger
priority: normal
severity: normal
status: open
title: _randbelow_with_getrandbits function inefficient with powers of two
type: performance
versions: Python 2.7, Python 3.5, Python 3.6, Python 3.7, Python 3.8, Python 3.9

_______________________________________
Python tracker <rep...@bugs.python.org>
<https://bugs.python.org/issue37000>
_______________________________________
_______________________________________________
Python-bugs-list mailing list
Unsubscribe: 
https://mail.python.org/mailman/options/python-bugs-list/archive%40mail-archive.com

Reply via email to