From owner-freebsd-numerics@FreeBSD.ORG Tue Aug 14 16:17:29 2012 Return-Path: Delivered-To: freebsd-numerics@freebsd.org Received: from mx1.freebsd.org (mx1.freebsd.org [IPv6:2001:4f8:fff6::34]) by hub.freebsd.org (Postfix) with ESMTP id 16F741065674 for ; Tue, 14 Aug 2012 16:17:29 +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 B80208FC12 for ; Tue, 14 Aug 2012 16:17:28 +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 q7EGHRY7028538 for ; Tue, 14 Aug 2012 11:17:27 -0500 (CDT) (envelope-from stephen@missouri.edu) Message-ID: <502A7A17.1090803@missouri.edu> Date: Tue, 14 Aug 2012 11:17:27 -0500 From: Stephen Montgomery-Smith User-Agent: Mozilla/5.0 (X11; Linux i686; rv:14.0) Gecko/20120714 Thunderbird/14.0 MIME-Version: 1.0 To: freebsd-numerics@freebsd.org 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> In-Reply-To: <502A780B.2010106@missouri.edu> Content-Type: text/plain; charset=ISO-8859-1; format=flowed Content-Transfer-Encoding: 7bit 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: Tue, 14 Aug 2012 16:17:29 -0000 On 08/14/2012 11:08 AM, Stephen Montgomery-Smith wrote: > On 08/14/2012 05:46 AM, Bruce Evans wrote: >> On Mon, 13 Aug 2012, Stephen Montgomery-Smith wrote: >> >>> >>> if (sqrt_huge+x>one && sqrt_huge+y>one) >> >> x and y can be DBL_MAX, giving overflow. > > Why? When x is DBL_MAX, sqrt_huge is so very much smaller than DBL_MAX > that DBL_MAX+sqrt_huge should be DBL_MAX within floating point > precision. So no overflow. I wrote a short test program. It seems to work.