Date: Sun, 16 Sep 2012 15:49:34 -0500 From: Stephen Montgomery-Smith <stephen@missouri.edu> To: Bruce Evans <brde@optusnet.com.au> Cc: freebsd-numerics@freebsd.org Subject: Re: Complex arg-trig functions Message-ID: <50563B5E.3090301@missouri.edu> In-Reply-To: <20120917060116.G3825@besplex.bde.org> 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>
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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).
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