Date: Sun, 26 Aug 2012 19:09:40 -0500 From: Stephen Montgomery-Smith <stephen@missouri.edu> To: freebsd-numerics@freebsd.org Subject: Re: Complex arg-trig functions Message-ID: <503ABAC4.3060503@missouri.edu> In-Reply-To: <503A9A1A.1050004@missouri.edu> References: <5017111E.6060003@missouri.edu> <501C361D.4010807@missouri.edu> <20120804165555.X1231@besplex.bde.org> <501D51D7.1020101@missouri.edu> <20120805030609.R3101@besplex.bde.org> <501D9C36.2040207@missouri.edu> <20120805175106.X3574@besplex.bde.org> <501EC015.3000808@missouri.edu> <20120805191954.GA50379@troutmask.apl.washington.edu> <20120807205725.GA10572@server.rulingia.com> <20120809025220.N4114@besplex.bde.org> <5027F07E.9060409@missouri.edu> <20120814003614.H3692@besplex.bde.org> <50295F5C.6010800@missouri.edu> <20120814072946.S5260@besplex.bde.org> <50297CA5.5010900@missouri.edu> <50297E43.7090309@missouri.edu> <20120814201105.T934@besplex.bde.org> <502A780B.2010106@missouri.edu> <20120815223631.N1751@besplex.bde.org> <502C0CF8.8040003@missouri.edu> <503265E8.3060101@missouri.edu> <5036EFDB.3010304@missouri.edu> <503A9A1A.1050004@missouri.edu>
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On 08/26/2012 04:50 PM, Stephen Montgomery-Smith wrote: > On 08/23/2012 10:07 PM, Stephen Montgomery-Smith wrote: >> I just found out that the boost libraries implement the complex asin >> function. I think their implementation is more faithful to the paper by >> Hull et al than my implementation is. It does seem to have a BSD style >> license. The only problem with it is that it is written in C++. >> > http://www.boost.org/doc/libs/1_51_0/boost/math/complex/asin.hpp > Their asin seems to be about 10-15% faster than mine. Their error is > slightly higher (4.5 ULP instead of 4ULP). But the speed improvement are because they use their own log1p function. When I replace it with the standard log1p, it goes 5% slower than mine.
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