Path: csiph.com!x330-a1.tempe.blueboxinc.net!usenet.pasdenom.info!news.dougwise.org!gegeweb.org!de-l.enfer-du-nord.net!feeder1.enfer-du-nord.net!feeder.news-service.com!news2.euro.net!newsgate.cistron.nl!newsgate.news.xs4all.nl!194.109.133.84.MISMATCH!newsfeed.xs4all.nl!newsfeed5.news.xs4all.nl!xs4all!post.news.xs4all.nl!not-for-mail Return-Path: X-Original-To: python-list@python.org Delivered-To: python-list@mail.python.org X-Spam-Status: OK 0.008 X-Spam-Evidence: '*H*': 0.98; '*S*': 0.00; 'algorithms': 0.07; 'python': 0.07; 'list)': 0.09; 'sun,': 0.09; 'to:name:python list': 0.09; 'pm,': 0.11; 'wrote:': 0.14; '(sorry': 0.16; 'breach': 0.16; 'integers.': 0.16; 'outline': 0.16; 'tarball': 0.16; 'question.': 0.18; 'to:2**1': 0.20; 'seems': 0.21; 'header :In-Reply-To:1': 0.22; 'compared': 0.22; 'trying': 0.23; 'integer': 0.23; 'version': 0.25; 'compare': 0.26; 'message- id:@mail.gmail.com': 0.28; 'least': 0.30; 'at.': 0.31; 'use?': 0.31; 'does': 0.31; 'it.': 0.31; "can't": 0.31; 'supposed': 0.31; 'anyone': 0.31; 'to:addr:python-list': 0.32; 'source': 0.32; 'thank': 0.32; 'idea': 0.32; "i've": 0.33; 'implemented': 0.33; 'minor': 0.33; 'file': 0.35; 'correctly': 0.35; 'received:209.85.216.46': 0.35; 'received:mail- qw0-f46.google.com': 0.35; 'considered': 0.36; 'skip:o 20': 0.37; 'received:209.85': 0.37; 'apr': 0.38; 'received:google.com': 0.38; 'but': 0.38; 'used': 0.38; 'to:addr:python.org': 0.39; 'where': 0.39; 'received:209': 0.39; 'how': 0.39; 'takes': 0.40; 'would': 0.40; 'header:Received:5': 0.40; 'reply': 0.61; '2011': 0.62; 'here.': 0.68; 'double': 0.69; 'machine,': 0.84 DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=gmail.com; s=gamma; h=domainkey-signature:mime-version:in-reply-to:references:date :message-id:subject:from:to:content-type; bh=7VE+p834zSqT2BSfnSH9WjGtVr/2w3e6IbBNAOu/Uvo=; b=GCEbn2wox68T339j+op9xeI96gk2jZvx37kZXCjVuWiV0yhw2QEp361RRWEDkrdXO8 qVZgM6SWChZ6BqtwSzE64VAxX4W+63EXID/MiYt5AdnHJrGprn8bmyNLhj+E/hKQ8V9c r7vsFGq4Bh4ldXhdV2UVJFDioxtLN2Ot8194Q= DomainKey-Signature: a=rsa-sha1; c=nofws; d=gmail.com; s=gamma; h=mime-version:in-reply-to:references:date:message-id:subject:from:to :content-type; b=ETL2rwhTQuBHntDr5BgJ1ZNvphQUuzFhdz0KlLWmsr+auDvvFbiR4YnmjksldENy4t 7S/aKkpRf26IPPnubr7QXY7HC0dSZepstMfQt5eh98PVcuvBl7SABuRcVmr/jd+dZlIJ US8FOofS/jmHW0BA7MGIoO5SAnbKVxXR/Dgy4= MIME-Version: 1.0 In-Reply-To: References: Date: Sun, 3 Apr 2011 18:46:54 -0700 Subject: Re: integer multiplication From: geremy condra To: Eddie Tsay , Python List Content-Type: text/plain; charset=ISO-8859-1 X-BeenThere: python-list@python.org X-Mailman-Version: 2.1.12 Precedence: list List-Id: General discussion list for the Python programming language List-Unsubscribe: , List-Archive: List-Post: List-Help: List-Subscribe: , Newsgroups: comp.lang.python Message-ID: Lines: 37 NNTP-Posting-Host: 82.94.164.166 X-Trace: 1301881618 news.xs4all.nl 41102 [::ffff:82.94.164.166]:40601 X-Complaints-To: abuse@xs4all.nl Xref: x330-a1.tempe.blueboxinc.net comp.lang.python:2542 On Sun, Apr 3, 2011 at 6:41 PM, Eddie Tsay wrote: > > On Sun, Apr 3, 2011 at 6:33 PM, geremy condra wrote: >> >> On Sun, Apr 3, 2011 at 6:20 PM, Eddie Tsay wrote: >> > Does anyone know what algorithms for integer multiplication does Python >> > use? >> > I am trying to compare it to those used by Sage as it seems like it >> > takes >> > much longer for Python to do large integer multiplication as compared to >> > Sage (anyone know off the top of their heads?) >> > thank you >> >> (sorry for the double email, this was supposed to go to the list) >> >> Karatsuba multiplication, at least for large integers. >> >> Geremy Condra > > > Thank you for replying to my question. > Do you have any idea how I would be able to find how they do this > multiplication in the python source code? I've been poking around the > documentation and can't find the area where they outline it. > Thank you for your reply =) > Eddie In the Python3 source tarball its in Objects/longobject.c. I only have the 3.2a1 tarball on this machine, but I found the 'grade school' method implemented in x_mul on line 2765 of that file and karatsuba multiplication as k_mul on line 2890. YMMV depending on what version you're looking at. Just as a side-note, top-posting is considered a minor breach of netiquette on python-list. I've rearranged the reply correctly here. Geremy Condra