Path: csiph.com!usenet.pasdenom.info!dedibox.gegeweb.org!gegeweb.eu!nntpfeed.proxad.net!proxad.net!feeder1-2.proxad.net!usenet-fr.net!nerim.net!novso.com!newsfeed.xs4all.nl!newsfeed2.news.xs4all.nl!xs4all!newsgate.cistron.nl!newsgate.news.xs4all.nl!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 0.063 X-Spam-Evidence: '*H*': 0.88; '*S*': 0.00; 'subject:Python': 0.06; 'cc:addr:python-list': 0.11; '(pi)': 0.16; 'from:addr:rosuav': 0.16; 'from:name:chris angelico': 0.16; 'processor,': 0.16; 'subject:Was': 0.16; 'wrote:': 0.18; 'cc:addr:python.org': 0.22; 'mon,': 0.24; 'cc:2**0': 0.24; 'header:In-Reply-To:1': 0.27; 'skip:p 30': 0.29; 'am,': 0.29; 'originally': 0.30; 'message- id:@mail.gmail.com': 0.30; 'code': 0.31; 'mini': 0.31; 'mac': 0.33; 'core': 0.34; 'subject: (': 0.35; 'received:google.com': 0.35; 'accuracy': 0.36; 'opposed': 0.36; 'seconds': 0.37; 'represent': 0.38; '12,': 0.39; 'how': 0.40; 'extended': 0.61; 'subject:The': 0.64; 'subject:have': 0.80; '100,000': 0.84; 'quicker': 0.84; 'to:none': 0.92 DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=gmail.com; s=20120113; h=mime-version:in-reply-to:references:date:message-id:subject:from:cc :content-type:content-transfer-encoding; bh=n4O6rB10VWAavjXe6KhYKnLJqTzOKJqPsEj3q5y3QNc=; b=AYmPzXUDhhX8tuLse+8Ze3n0av+wv41/Q8BX0HPMiJyqPHlE+knrKzJxlfwLDQBxYS uwmIPJCkS4f+AavtSl4lC8mj0ADOOsvTDB05GqRSwb9R/16cUPwBKsV/zud9ivRWR44U l0WBJXejTjb3b1Kvfq83BMCJEzfBQoW6znoXHTOnmfzubIjWxJzpvi8WOdD8bREFOdD8 Uf5Q0xsP9CMdRSN+7KUqYyJBD2+eCRrySB94AkWWiBWjXd/PMDWxF/wKzwc8saJFAmXd JTcpMlQBIkkojt7Y5hu8JtUCoM3U8XpA6ovVm51yZ9ox5pnGXl2qwYTsumt23yBibZqX sr/g== MIME-Version: 1.0 X-Received: by 10.220.191.134 with SMTP id dm6mr19170233vcb.16.1399834781450; Sun, 11 May 2014 11:59:41 -0700 (PDT) In-Reply-To: References: <87tx91warf.fsf@elektro.pacujo.net> <85eh05cdjx.fsf@benfinney.id.au> <87ha50hagu.fsf@elektro.pacujo.net> <536b8411$0$29965$c3e8da3$5496439d@news.astraweb.com> <536b9308$0$29965$c3e8da3$5496439d@news.astraweb.com> <536bab23$0$29965$c3e8da3$5496439d@news.astraweb.com> <87mweotfe5.fsf@dpt-info.u-strasbg.fr> Date: Mon, 12 May 2014 04:59:41 +1000 Subject: Re: Fortran (Was: The "does Python have variables?" debate) From: Chris Angelico Cc: "python-list@python.org" Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: quoted-printable X-BeenThere: python-list@python.org X-Mailman-Version: 2.1.15 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: 19 NNTP-Posting-Host: 2001:888:2000:d::a6 X-Trace: 1399834783 news.xs4all.nl 2913 [2001:888:2000:d::a6]:48830 X-Complaints-To: abuse@xs4all.nl Xref: csiph.com comp.lang.python:71337 On Mon, May 12, 2014 at 4:54 AM, Mark H Harris wrot= e: > The following code will produce over 100,000 digits of =CF=80 (pi) in les= s than 2 > seconds on a low-end processor, like my mac mini dual core 2Ghz: > >>julia> prec=3D524288 >>524288 > >>julia> with_bigfloat_precision(prec) do >> println(atan(BigFloat(1)/5)*16 - atan(BigFloat(1)/239)*4) >> end Would it be quicker (and no less accurate) to represent pi as atan(BigFloat(1))*4 instead? That's how I originally met a pi-calculation (as opposed to "PI =3D 3.14" extended to however much accuracy someone cared to do). ChrisA