Groups | Search | Server Info | Keyboard shortcuts | Login | Register [http] [https] [nntp] [nntps]


Groups > comp.lang.python > #52930

Re: Fast conversion of numbers to numerator/denominator pairs

Path csiph.com!v102.xanadu-bbs.net!xanadu-bbs.net!news.albasani.net!rt.uk.eu.org!newsfeed.xs4all.nl!newsfeed2.news.xs4all.nl!xs4all!newsgate.cistron.nl!newsgate.news.xs4all.nl!post.news.xs4all.nl!not-for-mail
Return-Path <ian.g.kelly@gmail.com>
X-Original-To python-list@python.org
Delivered-To python-list@mail.python.org
X-Spam-Status OK 0.011
X-Spam-Evidence '*H*': 0.98; '*S*': 0.00; 'preferred.': 0.05; 'exp': 0.09; 'function:': 0.09; 'def': 0.12; '(1,': 0.16; '*must*': 0.16; '23,': 0.16; 'decimal.': 0.16; 'enough.': 0.16; 'sign,': 0.16; 'simplest': 0.16; 'str()': 0.16; 'wrote:': 0.18; 'aug': 0.22; "i've": 0.25; 'subject:/': 0.26; 'header:In-Reply-To:1': 0.27; 'tried': 0.27; 'function': 0.29; "doesn't": 0.30; 'message- id:@mail.gmail.com': 0.30; "d'aprano": 0.31; 'decimal': 0.31; 'faster,': 0.31; 'steven': 0.31; 'subject:numbers': 0.31; 'fri,': 0.33; 'guess': 0.33; 'skip:d 20': 0.34; 'convert': 0.35; 'form.': 0.35; 'but': 0.35; 'received:google.com': 0.35; 'there': 0.35; 'version': 0.36; 'example,': 0.37; 'to:addr:python-list': 0.38; 'pm,': 0.38; 'to:addr:python.org': 0.39; 'numbers': 0.61; '50%': 0.78; 'subject:Fast': 0.84; '2013': 0.98
DKIM-Signature v=1; a=rsa-sha256; c=relaxed/relaxed; d=gmail.com; s=20120113; h=mime-version:in-reply-to:references:from:date:message-id:subject:to :content-type; bh=cpt3iCw52jmChHY8Tp63BlCE7yF7AGochCCSFSfMXTA=; b=uwqO2ihONAQyRwiZK0rqt76ZBKk40KG9LW+9xri817ZecXp5b4PpRwvFKUOloV6Ln7 lIBxawch8jwdp26SV+VSe5r9VCVheC1n27U0xKXBp5mfDQSlWUGd17tt+ox18wL1qoor LnS5BzS2fHAdorTdaLlj0krcyi2pcXSV0LCjUpQf2Ar9XpNgqvHJMgpAbDcWCiF59XbB M1b1CDkizQR6pv7gSMdOhdSah6t4MycGqNJ321MRE5XXe6RYqXUU7YallVQVrnxnQB8X egaIrZT+wUUEsLkNq/+75JXhTk4PxSOvVNAfaMnkb1cs6kUSiUlhsSexnb0htxlgF0H0 YUbQ==
X-Received by 10.68.27.37 with SMTP id q5mr3839228pbg.145.1377329913580; Sat, 24 Aug 2013 00:38:33 -0700 (PDT)
MIME-Version 1.0
In-Reply-To <521828e7$0$29986$c3e8da3$5496439d@news.astraweb.com>
References <521828e7$0$29986$c3e8da3$5496439d@news.astraweb.com>
From Ian Kelly <ian.g.kelly@gmail.com>
Date Sat, 24 Aug 2013 01:37:53 -0600
Subject Re: Fast conversion of numbers to numerator/denominator pairs
To Python <python-list@python.org>
Content-Type text/plain; charset=ISO-8859-1
X-BeenThere python-list@python.org
X-Mailman-Version 2.1.15
Precedence list
List-Id General discussion list for the Python programming language <python-list.python.org>
List-Unsubscribe <http://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 <http://mail.python.org/mailman/listinfo/python-list>, <mailto:python-list-request@python.org?subject=subscribe>
Newsgroups comp.lang.python
Message-ID <mailman.190.1377329921.19984.python-list@python.org> (permalink)
Lines 28
NNTP-Posting-Host 2001:888:2000:d::a6
X-Trace 1377329921 news.xs4all.nl 15997 [2001:888:2000:d::a6]:52128
X-Complaints-To abuse@xs4all.nl
Xref csiph.com comp.lang.python:52930

Show key headers only | View raw


On Fri, Aug 23, 2013 at 9:30 PM, Steven D'Aprano
<steve+comp.lang.python@pearwood.info> wrote:
> Is there a fast way to convert a Decimal into a pair of numbers numerator/
> denominator? It *must* be exact, but it doesn't have to be simplest form.
> For example, Decimal("0.5") => (5, 10) would be okay, although (1, 2)
> would be preferred.
>
>
> I've tried this function:
>
> def convert(d):
>     sign, digits, exp = d.as_tuple()
>     num = int(''.join([str(digit) for digit in digits]))
>     if sign: num = -num
>     return num, 10**-exp
>
>
> which is faster, but not fast enough. Any suggestions?

I time this function at about 33% faster than your version for a
six-digit decimal, and almost 50% faster for a 12-digit decimal.  My
guess would be because it's not calling str() on every individual
digit.

def convert(d):
    exp = d.as_tuple().exponent
    num = int(d.scaleb(-exp))
    return num, 10**-exp

Back to comp.lang.python | Previous | NextPrevious in thread | Next in thread | Find similar | Unroll thread


Thread

Fast conversion of numbers to numerator/denominator pairs Steven D'Aprano <steve+comp.lang.python@pearwood.info> - 2013-08-24 03:30 +0000
  Re: Fast conversion of numbers to numerator/denominator pairs Ian Kelly <ian.g.kelly@gmail.com> - 2013-08-24 01:37 -0600
  Re: Fast conversion of numbers to numerator/denominator pairs Ian Kelly <ian.g.kelly@gmail.com> - 2013-08-24 01:50 -0600
  Re: Fast conversion of numbers to numerator/denominator pairs Peter Otten <__peter__@web.de> - 2013-08-24 14:52 +0200
  Re: Fast conversion of numbers to numerator/denominator pairs Tim Delaney <timothy.c.delaney@gmail.com> - 2013-08-25 07:59 +1000
  Re: Fast conversion of numbers to numerator/denominator pairs Tim Delaney <timothy.c.delaney@gmail.com> - 2013-08-25 08:05 +1000

csiph-web