From owner-freebsd-numerics@FreeBSD.ORG Sun Sep 16 20:49:36 2012 Return-Path: Delivered-To: freebsd-numerics@freebsd.org Received: from mx1.freebsd.org (mx1.freebsd.org [69.147.83.52]) by hub.freebsd.org (Postfix) with ESMTP id 16064106574A for ; Sun, 16 Sep 2012 20:49:36 +0000 (UTC) (envelope-from stephen@missouri.edu) Received: from wilberforce.math.missouri.edu (wilberforce.math.missouri.edu [128.206.184.213]) by mx1.freebsd.org (Postfix) with ESMTP id C490A8FC08 for ; Sun, 16 Sep 2012 20:49:35 +0000 (UTC) Received: from [127.0.0.1] (wilberforce.math.missouri.edu [128.206.184.213]) by wilberforce.math.missouri.edu (8.14.5/8.14.5) with ESMTP id q8GKnXtC064408; Sun, 16 Sep 2012 15:49:34 -0500 (CDT) (envelope-from stephen@missouri.edu) Message-ID: <50563B5E.3090301@missouri.edu> Date: Sun, 16 Sep 2012 15:49:34 -0500 From: Stephen Montgomery-Smith User-Agent: Mozilla/5.0 (X11; Linux i686; rv:15.0) Gecko/20120827 Thunderbird/15.0 MIME-Version: 1.0 To: Bruce Evans References: <5017111E.6060003@missouri.edu> <502A780B.2010106@missouri.edu> <20120815223631.N1751@besplex.bde.org> <502C0CF8.8040003@missouri.edu> <20120906221028.O1542@besplex.bde.org> <5048D00B.8010401@missouri.edu> <504D3CCD.2050006@missouri.edu> <504FF726.9060001@missouri.edu> <20120912191556.F1078@besplex.bde.org> <20120912225847.J1771@besplex.bde.org> <50511B40.3070009@missouri.edu> <20120913204808.T1964@besplex.bde.org> <5051F59C.6000603@missouri.edu> <20120914014208.I2862@besplex.bde.org> <50526050.2070303@missouri.edu> <20120914212403.H1983@besplex.bde.org> <50538E28.6050400@missouri.edu> <20120915231032.C2669@besplex.bde.org> <50548E15.3010405@missouri.edu> <5054C027.2040008@missouri.edu> <5054C200.7090307@missouri.edu> <20120916041132.D6344@besplex.bde.org> <50553424.2080902@missouri.edu> <20120916134730.Y957@besplex.bde.org> <5055ECA8.2080008@missouri.edu> <20120917022614.R2943@besplex.bde.org> <50562213.9020400@missouri.edu> <20120917060116.G3825@besplex.bde.org> In-Reply-To: <20120917060116.G3825@besplex.bde.org> Content-Type: text/plain; charset=ISO-8859-1; format=flowed Content-Transfer-Encoding: 7bit Cc: freebsd-numerics@freebsd.org Subject: Re: Complex arg-trig functions X-BeenThere: freebsd-numerics@freebsd.org X-Mailman-Version: 2.1.5 Precedence: list List-Id: "Discussions of high quality implementation of libm functions." List-Unsubscribe: , List-Archive: List-Post: List-Help: List-Subscribe: , X-List-Received-Date: Sun, 16 Sep 2012 20:49:36 -0000 On 09/16/2012 03:29 PM, Bruce Evans wrote: > I'm thinking of going the other way and using atan(y/x) instead of atan2() > :-). This is safe iff we know that y/x is not very special. This was, in fact, how it was presented in the original paper. The Boost libraries also used atan instead of atan2. In fact, when I first heard of the "atan2" function (perhaps way back when PL/1 was a programming language), I naively thought that atan(x) was implemented as atan2(1,x).