Date: Wed, 04 Jul 2001 20:30:20 +0300 From: "Eli Zaretskii" Sender: halo1 AT zahav DOT net DOT il To: djgpp AT delorie DOT com Message-Id: <2950-Wed04Jul2001203020+0300-eliz@is.elta.co.il> X-Mailer: Emacs 20.6 (via feedmail 8.3.emacs20_6 I) and Blat ver 1.8.9 In-reply-to: <3b4348be.81254401@news.primus.ca> (invalid@erehwon.invalid) Subject: Re: DJGPP reserves wrong int size References: <9dde68b7 DOT 0106241053 DOT 2a385311 AT posting DOT google DOT com> <200106242138 DOT RAA18013 AT envy DOT delorie DOT com> <3b37e92e DOT 288745911 AT news DOT primus DOT ca> <200106260242 DOT WAA00615 AT envy DOT delorie DOT com> <3b3b4e40 DOT 213415946 AT news DOT primus DOT ca> <6480-Fri29Jun2001102012+0300-eliz AT is DOT elta DOT co DOT il> <3b3d95b2 DOT 362800381 AT news DOT primus DOT ca> <7704-Sat30Jun2001163109+0300-eliz AT is DOT elta DOT co DOT il> <3b4348be DOT 81254401 AT news DOT primus DOT ca> Reply-To: djgpp AT delorie DOT com Errors-To: nobody AT delorie DOT com X-Mailing-List: djgpp AT delorie DOT com X-Unsubscribes-To: listserv AT delorie DOT com Precedence: bulk > From: invalid AT erehwon DOT invalid (Graaagh the Mighty) > Newsgroups: comp.os.msdos.djgpp > Date: Wed, 04 Jul 2001 16:51:18 GMT > > On Sat, 30 Jun 2001 16:31:09 +0300, "Eli Zaretskii" > sat on a tribble, which squeaked: > > >Yes, I understand. And that precisely is the sign of a numerical bug, > >in most cases I've seen. > > I would think if the problem was numerical instability of the > algorithm, the problem would be *more* pronounced when using a *lower* > precision. This is true for some numerical computations, but not for all of them. > >Numerical computations are tricky. > > These ones aren't. They just add and multiply and subtract and > compare, and they only compare for exceeding certain (small) > magnitudes -- they don't depend on an exact comparison with anything, > ever. In any decent course in numerical computation, the first lesson teaches you that you cannot even solve a quadratic equation without risking numerical pitfalls.