New submission from Serhiy Storchaka <storch...@gmail.com>:

This patch slightly optimize conversion int to string with base 2, 8 or 16 by 
calculating exactly number of digits and avoiding unnecessary memory 
allocation. The code is similar to used for decimal conversion.

Without patch:
$ ./python -m timeit -s 'x=1' 'bin(x)'
1000000 loops, best of 3: 0.295 usec per loop
$ ./python -m timeit -s 'x=1' 'oct(x)'
1000000 loops, best of 3: 0.327 usec per loop
$ ./python -m timeit -s 'x=1' 'hex(x)'
1000000 loops, best of 3: 0.298 usec per loop
$ ./python -m timeit -s 'x=9**999' 'bin(x)'
100000 loops, best of 3: 11.9 usec per loop
$ ./python -m timeit -s 'x=9**999' 'oct(x)'
100000 loops, best of 3: 4.55 usec per loop
$ ./python -m timeit -s 'x=9**999' 'hex(x)'
100000 loops, best of 3: 3.99 usec per loop

With patch:
$ ./python -m timeit -s 'x=1' 'bin(x)'
1000000 loops, best of 3: 0.213 usec per loop
$ ./python -m timeit -s 'x=1' 'oct(x)'
1000000 loops, best of 3: 0.228 usec per loop
$ ./python -m timeit -s 'x=1' 'hex(x)'
1000000 loops, best of 3: 0.215 usec per loop
$ ./python -m timeit -s 'x=9**999' 'bin(x)'
100000 loops, best of 3: 9.76 usec per loop
$ ./python -m timeit -s 'x=9**999' 'oct(x)'
100000 loops, best of 3: 3.58 usec per loop
$ ./python -m timeit -s 'x=9**999' 'hex(x)'
100000 loops, best of 3: 3.3 usec per loop

----------
components: Library (Lib)
files: long_to_binary_base.patch
keywords: patch
messages: 156085
nosy: storchaka
priority: normal
severity: normal
status: open
title: Optimizing bin, oct and hex
type: performance
versions: Python 3.3
Added file: http://bugs.python.org/file24891/long_to_binary_base.patch

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