Date: Tue, 16 May 2000 17:23:04 -0400 (EDT) Message-Id: <200005162123.RAA20140@indy.delorie.com> From: Eli Zaretskii To: rudd AT cyberoptics DOT com CC: djgpp-workers AT delorie DOT com In-reply-to: <39215B01.340A5CC2@cyberoptics.com> (message from Eric Rudd on Tue, 16 May 2000 09:28:17 -0500) Subject: Re: Math functions References: <39215B01 DOT 340A5CC2 AT cyberoptics DOT com> Reply-To: djgpp-workers AT delorie DOT com Errors-To: nobody AT delorie DOT com X-Mailing-List: djgpp-workers AT delorie DOT com X-Unsubscribes-To: listserv AT delorie DOT com Precedence: bulk > Date: Tue, 16 May 2000 09:28:17 -0500 > From: Eric Rudd > > The > question is whether a user doing normal double-precision computations > would ever be materially affected by such errors. If I could exhibit a > practical computation that succeeded with perfect range reduction, but > failed with 66-bit range reduction, then one would have a practical > objection. I was attempting to argue that the difficulty of devising such > a computation (without resorting to multiple precision) is by itself a > good indication that these errors are of no consequence to most users. It is my understanding that whoever needs long double math functions will run the entire program with long double arithmetics, not with double-precision.