From mboxrd@z Thu Jan 1 00:00:00 1970 X-Spam-Checker-Version: SpamAssassin 3.4.4 (2020-01-24) on inbox.vuxu.org X-Spam-Level: X-Spam-Status: No, score=-3.3 required=5.0 tests=DKIM_SIGNED,DKIM_VALID, FREEMAIL_FROM,MAILING_LIST_MULTI,RCVD_IN_DNSWL_MED, T_SCC_BODY_TEXT_LINE,UNPARSEABLE_RELAY autolearn=ham autolearn_force=no version=3.4.4 Received: (qmail 31310 invoked from network); 5 Jul 2022 15:29:02 -0000 Received: from zero.zsh.org (2a02:898:31:0:48:4558:7a:7368) by inbox.vuxu.org with ESMTPUTF8; 5 Jul 2022 15:29:02 -0000 ARC-Seal: i=1; cv=none; a=rsa-sha256; d=zsh.org; s=rsa-20210803; t=1657034942; b=JnnSc5xMDEuFKLIcRAP16IxZDAmDbKThJWpZyclni2yI2oV/7vgKiVjZ4rbzrUt5N1gx99Y0OO 0eCVmFuyl2gJHpf7P+7mAiVCFyby+efHVacI0gLS19OV14brxKdy4gGp9vKuThk9sruzinEbCV iTtfyM4oTz88M8v/iS9Z5tHUzIYaWvieweDGnS8AIbtY1AGm9Zs+/dIQIr72ABW6JZeJvP3Wfz wJb5vm4TiSLKhdJda8qulAXOw/ROvjF867NurlseNUpD1gCZkAlHH7Sv2YSPrTIyr7aOyrOPjo OtVgQrm3lU7yHjUdUqOFt7Y5MSC7iyLBjZUtYJfiJikUZw==; ARC-Authentication-Results: i=1; zsh.org; iprev=pass (mout.gmx.net) smtp.remote-ip=212.227.15.18; dkim=pass header.d=gmx.net header.s=badeba3b8450 header.a=rsa-sha256; dmarc=none header.from=gmx.de; arc=none ARC-Message-Signature: i=1; a=rsa-sha256; c=relaxed; d=zsh.org; s=rsa-20210803; t=1657034942; bh=fnfhvstkTVfj3KzPww6Y+lAIPd0g7jBEn35Mtn4tmrU=; h=List-Archive:List-Owner:List-Post:List-Unsubscribe:List-Subscribe:List-Help: List-Id:Sender:In-Reply-To:Content-Transfer-Encoding:Content-Type: MIME-Version:References:Reply-To:Message-ID:Subject:To:From:Date: DKIM-Signature:DKIM-Signature; b=efooEndtQhMLSxzCDxWSQc4I7HYJWpZMo+vDr/q1GX+efCi881QY6JGzyIXOq1jzEDWRpnf10E g4KsDNTuHSWctr9sMJXj6vvOBpXra11YxDtjQTpllO94SQJGC+ih/ECgREhBUU0cQRChRZQYs8 ZSkf406/mu0PVu1EnykLdW8E0yWa/Y3zm9oECyL2pSORl2g7sSAZJLruwjpgZPylCgGgXSXaAG 78tQ9QLIXE+uWEUUi2kcmf3M5Gqlk5z9Mo5xw1ppHNkVvG8HT/XAwbyu245yPVa0v4D5KH1/0C wtOoK4n0YvplufKbmy6dpCoQFWdQq29+eZoZfgypik3a2Q==; DKIM-Signature: v=1; a=rsa-sha256; q=dns/txt; c=relaxed/relaxed; d=zsh.org; s=rsa-20210803; h=List-Archive:List-Owner:List-Post:List-Unsubscribe: List-Subscribe:List-Help:List-Id:Sender:In-Reply-To:Content-Transfer-Encoding :Content-Type:MIME-Version:References:Reply-To:Message-ID:Subject:To:From: Date:Cc:Content-ID:Content-Description:Resent-Date:Resent-From:Resent-Sender: Resent-To:Resent-Cc:Resent-Message-ID; bh=zUzG4jfPNNEmRp699gMIaSTr1IEw9elhSO4xydaMDsY=; b=qAdxYgL0Qgbw3epzgjmrnacMso ABgt5YOAKaXarYvq43OjjIMQ+5TsBNzUZ/UpExcyYpWEMB2jTOHmTb5Xmchyu36djZOJevE5efn8h QjIRMXIeT8/BRhYjqFFG7iKbOUxo2CzCkOkCenm5Ag/bjt57ARQ93KDefVApkoGuASxmOreeJvFe4 HAVR7sJ0M5eLEgegM6949aIAhAVm5vqWJcLCBdUqCpOlBbZdBjXnkvlxtLcdPTpi0aAwcs4B3zQG5 251t4E+4PjkWVvcdm0utjzMW0uc4SiASuHWvbApjClkKW/oVrURFM7DmfngKMe+yXdQlXh1j6nfGh HTb60Bng==; Received: from authenticated user by zero.zsh.org with local id 1o8kU2-000NuS-3G; Tue, 05 Jul 2022 15:29:02 +0000 Authentication-Results: zsh.org; iprev=pass (mout.gmx.net) smtp.remote-ip=212.227.15.18; dkim=pass header.d=gmx.net header.s=badeba3b8450 header.a=rsa-sha256; dmarc=none header.from=gmx.de; arc=none Received: from mout.gmx.net ([212.227.15.18]:46551) by zero.zsh.org with esmtps (TLS1.3:TLS_AES_256_GCM_SHA384:256) id 1o8kSz-000NCg-JO; Tue, 05 Jul 2022 15:27:58 +0000 DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/simple; d=gmx.net; s=badeba3b8450; t=1657034876; bh=fnfhvstkTVfj3KzPww6Y+lAIPd0g7jBEn35Mtn4tmrU=; h=X-UI-Sender-Class:Date:From:To:Subject:Reply-To:References: In-Reply-To; b=VwLZpRja3U8F5ebGNEaBGh1g4K204fq2Q8HCcRr8Ccoa648vOhDI5uxSPaLVMtfDb Gio1cpqh/QR/NDyWzht35fTbi/lUgZgAaH0KMhwHSQG++QLxvd8Po5mTXNgrpxAVSX GJ8wEsytPEIdjqBSo+o07nqn8B9uf9bMYZTwplfY= X-UI-Sender-Class: 01bb95c1-4bf8-414a-932a-4f6e2808ef9c Received: from zitrone.obstwiese ([46.223.163.200]) by mail.gmx.net (mrgmx005 [212.227.17.190]) with ESMTPSA (Nemesis) id 1MbivM-1nbKvC3EpK-00dIWF for ; Tue, 05 Jul 2022 17:27:56 +0200 Received: from luthien by zitrone.obstwiese with local (Exim 4.94.2) (envelope-from ) id 1o8kSu-0000ci-Jz; Tue, 05 Jul 2022 16:27:52 +0100 Date: Tue, 5 Jul 2022 16:27:52 +0100 From: Dominik Vogt To: zsh-users@zsh.org Subject: Re: loooong number Message-ID: Reply-To: dominik.vogt@gmx.de Mail-Followup-To: zsh-users@zsh.org References: MIME-Version: 1.0 Content-Type: text/plain; charset=iso-8859-1 Content-Disposition: inline Content-Transfer-Encoding: quoted-printable In-Reply-To: X-Provags-ID: V03:K1:4dR8eIOUPbz2WFGq0o4N8ArcfPNWhY2Kquh/iJAIY/QctA5ocCs LP4UZA7i2Ty8+xU2t4H6naW5cXXfDthTYTUjYyhOFxtzqHPlBnwftKziKc9Hwb5WZwlgv11 nBlClNY+aAzNf17W4z8R4wh4ZUpQAsXTrVzoagmRyb8j6v7PMybtBz7s+TlQ+r9xMSMNGzz rkGeS79Q+xwdssdG3BuNg== X-UI-Out-Filterresults: notjunk:1;V03:K0:aKy9Yj6RBso=:ZvE4ONcU0IKm5q9lXnezqC 3avjFt0Gyvbc7izK8tQfXprul6KmjcB6GkQKp7NF2ivb81VIh951KczE7pO8VyGUlrh4u2kQi lxgHMnPhOWLOP9YK/Pwpk17YJCYUnk9cvjL30WJHUoi37PIve6pnlsT50W5+X7IboUXDbxn62 mAJ3IP2SmQksFrM0RPMNAQ8b+udUm+pZqS0tgBjw3FWxsoaO5yD74afWG2Wn4jNMkJ0t1yJ3a +OKmfkzRvuDmLSf86SsYdsMOACo1knBdbUtwKn2YfDvWJTZNBUfeVDpPwoY0Io3L6M72ag5lu pz/klNyKJ7TQ4yiE/k83OUYsJ9RjO/mwPNnskuRFrsQ+VEUtl8WpDdT5YX5isaX/OR3tsMiLf LWoRjH5S7NGuSSKVIFfL40HDUWa/TgblPzHaqJ5f6sWUu7dKFrph+WW50eyWx3gDPU5NQbYb6 qtvlJja9PmAO26PjyBaArDY5nT2RHPwaKDJsnWLITUedwEk91pR29UX3ddHr+8pMtPWkPLxyZ mfgNpvcD+sNUh9Hg7olEzEkkrwp+KCaCfEZ0YH1gRzJ1eTv4Q3vBbDCPmSw/yOfWbnB3ukkNz 0DoQw5e4zUiZvAVC7Y0dNzGUZRZJ1D7cYuJw5SXXQKYAjMyceCC3ZuZp1SIHmp3i/pthDvRpK rs9iyE6zN+bIiFTX8AlO555UZ+p9yR8o7uJosJqTAEXa2oyk9d0F+RZWV6znN4DDR2rJdV6O6 IApK1jJBpgFXfnWHXfPyYy6fsFSkthkMhUT1BcgwZmv+qQPpH/zjYX3J98sMc4vSxPETcK606 mVCyMxTjc07V9PZRnkgCK+9QYiORaw0Dl6Dr4wmcgO00AXKxy4nxdjmKhd9C+iPD621sO5as2 saRFx4MMXlB2OpunNbZkmoxCpmy17CkjBoKD99fXl2znNAZ5an32jn5B78GbeiRUIO61KsYXh FFcrXL2o+tzmB5SP3NK2wTPwgCTVsLyGNsn7fOOZ4QswJPMbZnqiDBhVCPwnDjt/oF2ZFbzvu 8fSDjSf5G7+99ZLkUGJMYkOiQG/QgQ26Cm5Q6OofynEel/JKGzFhaUZMEfwUqXuHPul353xVo vxaSt2ThLPBhIvo+YcZZ0CcBLk6FBf+Zvm+oyfryH+EUReVjO86dKsraA== X-Seq: 27866 Archived-At: X-Loop: zsh-users@zsh.org Errors-To: zsh-users-owner@zsh.org Precedence: list Precedence: bulk Sender: zsh-users-request@zsh.org X-no-archive: yes List-Id: List-Help: List-Subscribe: List-Unsubscribe: List-Post: List-Owner: List-Archive: On Tue, Jul 05, 2022 at 08:19:21AM -0700, Ray Andrews wrote: > Now, the formula for the number is easy but the output > of course is going to be a floating point number of 200 and counting dig= its > which of course zsh can't handle.=A0 But it occurred to me that if the d= igits > could be computed one at a time (as we can do for pi), then the output c= ould > be treated as a simple string to which digits are added indefinitely.=A0= I > guess this is really a mathematical question, strictly speaking, but > somebody might know. "bc" can do calculations in arbitrary precision: =2D- snip -- $ bc -l bc 1.07.1 Copyright 1991-1994, 1997, 1998, 2000, 2004, 2006, 2008, 2012-2017 Free So= ftware Foundation, Inc. This is free software with ABSOLUTELY NO WARRANTY. For details type `warranty'. scale=3D5 e(1) 2.71828 scale=3D200 e(1) 2.718281828459045235360287471352662497757247093699959574966967627724\ 07663035354759457138217852516642742746639193200305992181741359662904\ 357290033429526059563073813232862794349076323382988075319525101901 =2D- snip -- Ciao Dominik ^_^ ^_^ =2D- Dominik Vogt