Path: csiph.com!x330-a1.tempe.blueboxinc.net!usenet.pasdenom.info!gegeweb.org!de-l.enfer-du-nord.net!feeder2.enfer-du-nord.net!feeder.news-service.com!newsfeed.xs4all.nl!newsfeed6.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 0.000 X-Spam-Evidence: '*H*': 1.00; '*S*': 0.00; 'subject:Python': 0.04; 'executing': 0.05; 'developer.': 0.07; 'linear': 0.07; 'python)': 0.07; 'recipe': 0.07; 'terry': 0.07; 'correct.': 0.09; 'received:80.91': 0.09; 'received:80.91.229': 0.09; 'received:80.91.229.12': 0.09; 'received:gmane.org': 0.09; 'received:list': 0.09; 'received:lo.gmane.org': 0.09; 'am,': 0.14; 'wrote:': 0.14; 'from:addr:behnel.de': 0.16; 'from:addr:stefan_ml': 0.16; 'from:name:stefan behnel': 0.16; 'hopefully': 0.16; 'math': 0.16; 'developer': 0.16; 'code': 0.22; 'header:In-Reply-To:1': 0.22; 'replacing': 0.23; 'received:84': 0.25; '(in': 0.27; 'stefan': 0.29; 'least': 0.30; 'paragraph': 0.31; 'separately': 0.31; 'trick': 0.31; 'fact': 0.31; 'to:addr :python-list': 0.32; 'bit': 0.33; 'lines': 0.34; 'header:X -Complaints-To:1': 0.34; 'actually': 0.34; 'requires': 0.35; 'header:User-Agent:1': 0.35; 'constant': 0.35; 'quite': 0.36; 'background': 0.37; 'received:org': 0.38; 'to:addr:python.org': 0.39; 'header:Mime-Version:1': 0.39; 'add': 0.39; "it's": 0.40; 'header:Received:5': 0.40; 'order': 0.61; 'accompanied': 0.84; 'comment.': 0.84 X-Injected-Via-Gmane: http://gmane.org/ To: python-list@python.org From: Stefan Behnel Subject: Re: Coolest Python recipe of all time Date: Tue, 03 May 2011 08:23:58 +0200 References: <69c1813d-1a9a-4686-9768-8ec1910a45f8@d19g2000prh.googlegroups.com> <018ur6da31iv7us9gm4dpgl7tfl0i6snb2@4ax.com> Mime-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit X-Gmane-NNTP-Posting-Host: dslb-084-056-031-127.pools.arcor-ip.net User-Agent: Mozilla/5.0 (X11; U; Linux x86_64; en-US; rv:1.9.2.14) Gecko/20110223 Lightning/1.0b2 Thunderbird/3.1.8 In-Reply-To: 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: 20 NNTP-Posting-Host: 82.94.164.166 X-Trace: 1304403854 news.xs4all.nl 34849 [::ffff:82.94.164.166]:59715 X-Complaints-To: abuse@xs4all.nl Xref: x330-a1.tempe.blueboxinc.net comp.lang.python:4528 Terry Reedy, 03.05.2011 08:00: > On 5/3/2011 1:04 AM, Stefan Behnel wrote: > >> The bad thing about this recipe is that it requires quite a bit of >> background knowledge in order to infer that the code the developer is >> looking at is actually correct. > > The main math knowledge needed is the trivial fact that if a*x + b = 0, > then x = -b/a. The other math knowledge needed is that complex numbers add > componentwise. The trick is that replacing x with j and evaluating > therefore causes (in Python) all the coefficients of x (now j) to be added > together separately from all the constant terms to reduce the linear > equation to a*x+b (= 0 implied). As your above paragraph proves, it's the kind of implementation that requires three lines of executing code and at least 6 lines of additional comment. Hopefully accompanied by an excuse of the developer. Stefan