Path: csiph.com!v102.xanadu-bbs.net!xanadu-bbs.net!feeder.erje.net!eu.feeder.erje.net!newsfeed.xs4all.nl!newsfeed2.news.xs4all.nl!xs4all!post.news.xs4all.nl!not-for-mail
Return-Path: <python-python-list@m.gmane.org>
X-Original-To: python-list@python.org
Delivered-To: python-list@mail.python.org
X-Spam-Status: OK 0.006
X-Spam-Evidence: '*H*': 0.99; '*S*': 0.00; '[0]': 0.09; 'received:80.91': 0.09; 'received:80.91.229': 0.09; 'received:gmane.org': 0.09; 'received:list': 0.09; 'toss': 0.09; 'def': 0.12; 'jan': 0.12; 'internally': 0.16; 'received:80.91.229.3': 0.16; 'received:plane.gmane.org': 0.16; 'reedy': 0.16; 'rem': 0.16; 'skip:t 100': 0.16; 'subject:search': 0.16; 'wrote:': 0.18; 'slightly': 0.19; 'header:User-Agent:1': 0.23; 'header:X-Complaints-To:1': 0.27; 'header:In-Reply-To:1': 0.27; '>>>>': 0.31; 'probably': 0.32; 'skip:d 20': 0.34; 'to:addr :python-list': 0.38; 'pm,': 0.38; 'to:addr:python.org': 0.39; 'received:org': 0.40; 'ian': 0.60; 'number,': 0.60; 'results.': 0.60; '6.1': 0.84; 'received:fios.verizon.net': 0.84; 'subject:find': 0.84; 'subject:Best': 0.91
X-Injected-Via-Gmane: http://gmane.org/
To: python-list@python.org
From: Terry Reedy <tjreedy@udel.edu>
Subject: Re: Best search algorithm to find condition within a range
Date: Tue, 07 Apr 2015 14:55:01 -0400
References: <2e3a3c01-20b3-4948-9b32-bd80ed46822b@googlegroups.com> <mailman.93.1428417164.12925.python-list@python.org> <d6e7bb84-3810-435a-bd7a-ad45da86f906@googlegroups.com> <mailman.108.1428424459.12925.python-list@python.org> <9fd13f49-8bfa-43ef-8787-21d5c76a6268@googlegroups.com> <CALwzidnbnbttdd+ow+gYg2-y8KDTAzXfEJ4c19OkEN=eOH2rLw@mail.gmail.com>
Mime-Version: 1.0
Content-Type: text/plain; charset=utf-8; format=flowed
Content-Transfer-Encoding: 7bit
X-Gmane-NNTP-Posting-Host: pool-98-114-97-173.phlapa.fios.verizon.net
User-Agent: Mozilla/5.0 (Windows NT 6.1; WOW64; rv:31.0) Gecko/20100101 Thunderbird/31.6.0
In-Reply-To: <CALwzidnbnbttdd+ow+gYg2-y8KDTAzXfEJ4c19OkEN=eOH2rLw@mail.gmail.com>
X-BeenThere: python-list@python.org
X-Mailman-Version: 2.1.20
Precedence: list
List-Id: General discussion list for the Python programming language <python-list.python.org>
List-Unsubscribe: <https://mail.python.org/mailman/options/python-list>, <mailto:python-list-request@python.org?subject=unsubscribe>
List-Archive: <http://mail.python.org/pipermail/python-list/>
List-Post: <mailto:python-list@python.org>
List-Help: <mailto:python-list-request@python.org?subject=help>
List-Subscribe: <https://mail.python.org/mailman/listinfo/python-list>, <mailto:python-list-request@python.org?subject=subscribe>
Newsgroups: comp.lang.python
Message-ID: <mailman.111.1428432943.12925.python-list@python.org>
Lines: 27
NNTP-Posting-Host: 2001:888:2000:d::a6
X-Trace: 1428432943 news.xs4all.nl 2900 [2001:888:2000:d::a6]:58282
X-Complaints-To: abuse@xs4all.nl
Xref: csiph.com comp.lang.python:88610

On 4/7/2015 1:44 PM, Ian Kelly wrote:

>>>> def to_base(number, base):
> ...     digits = []
> ...     while number > 0:
> ...         digits.append(number % base)
> ...         number //= base
> ...     return digits or [0]
> ...
>>>> to_base(2932903594368438384328325832983294832483258958495845849584958458435439543858588435856958650865490, 429496729)
> [27626525, 286159541, 134919277, 305018215, 329341598, 48181777,
> 79384857, 112868646, 221068759, 70871527, 416507001, 31]
> About 15 microseconds.

% and probably // call divmod internally and toss one of the results. 
Slightly faster (5.7 versus 6.1 microseconds on my machine) is

def to_base_dm(number, base):
     digits = []
     while number > 0:
         number, rem = divmod(number, base)
         digits.append(rem)
     return digits or [0]

-- 
Terry Jan Reedy