From: vincent.diemunsch@gmail.com
Subject: Re: Everything You Know Is Wrong
Date: Wed, 2 Mar 2016 06:11:19 -0800 (PST)
Date: 2016-03-02T06:11:19-08:00 [thread overview]
Message-ID: <9974be39-f94d-4293-819e-bd1c9a1ddd65@googlegroups.com> (raw)
In-Reply-To: <87twkrpvcf.fsf@adaheads.sparre-andersen.dk>
Le lundi 29 février 2016 13:14:09 UTC+1, Jacob Sparre Andersen a écrit :
> Some of the rules which (apparently) aren't wrong yet:
>
> http://www.cse.msu.edu/~cse320/Documents/FloatingPoint.pdf
>
> Greetings,
>
> Jacob
Very interesting !
Here is the point about Ada :
Remarkably enough, some languages don't clearly specify that if x is a
floating-point variable (with say a value of 3.0/10.0), then every occurrence
of (say) 10.0*x must have the same value. For example Ada, which is based
on Brown's model, seems to imply that floating-point arithmetic only has to
satisfy Brown's axioms, and thus expressions can have one of many possible
values. Thinking about floating-point in this fuzzy way stands in sharp
contrast to the IEEE model, where the result of each floating-point operation is
precisely defined. In the IEEE model, we can prove that (3.0/10.0)*10.0
evaluates to 3 (Theorem 7). In Brown's model, we cannot.
Maybe this could be a topic for a new revision of Ada ?
Kind regards,
Vincent
next prev parent reply other threads:[~2016-03-02 14:11 UTC|newest]
Thread overview: 40+ messages / expand[flat|nested] mbox.gz Atom feed top
2015-12-27 0:37 Everything You Know Is Wrong Jeffrey R. Carter
2015-12-27 7:55 ` J-P. Rosen
2015-12-27 17:37 ` Jeffrey R. Carter
2015-12-27 8:46 ` Dmitry A. Kazakov
2015-12-27 17:36 ` Jeffrey R. Carter
2016-01-04 14:44 ` Alejandro R. Mosteo
2015-12-28 9:57 ` Georg Bauhaus
2015-12-28 11:19 ` Dmitry A. Kazakov
2015-12-28 16:27 ` Nicholas Collin Paul de Gloucester
2015-12-28 17:30 ` Dmitry A. Kazakov
2015-12-28 18:50 ` Nicholas Collin Paul de Gloucester
2015-12-28 20:40 ` Dmitry A. Kazakov
2015-12-29 11:42 ` G.B.
2015-12-29 12:36 ` Dmitry A. Kazakov
2015-12-29 13:50 ` G.B.
2015-12-29 14:06 ` J-P. Rosen
2015-12-29 14:16 ` Dmitry A. Kazakov
2015-12-29 16:31 ` Dennis Lee Bieber
2015-12-29 17:02 ` G.B.
2015-12-29 16:57 ` G.B.
2015-12-29 17:36 ` Dmitry A. Kazakov
2015-12-29 17:53 ` G.B.
2015-12-29 18:09 ` G.B.
2015-12-29 22:05 ` Randy Brukardt
2016-01-04 14:51 ` Alejandro R. Mosteo
2015-12-29 21:58 ` Randy Brukardt
2015-12-28 17:19 ` Nicholas Collin Paul de Gloucester
2015-12-29 23:37 ` darkestkhan
2016-01-05 13:52 ` brbarkstrom
2016-01-10 14:46 ` Michael Erdmann
2016-02-29 12:14 ` Jacob Sparre Andersen
2016-03-02 14:11 ` vincent.diemunsch [this message]
2016-03-02 14:23 ` J-P. Rosen
2016-03-02 15:44 ` Bob Brown
2016-03-02 16:30 ` J-P. Rosen
2016-03-02 16:36 ` Bob Brown
2016-03-02 16:52 ` Bob Brown
2016-03-02 14:32 ` Dmitry A. Kazakov
2016-03-02 15:31 ` vincent.diemunsch
2016-02-29 12:27 ` Jacob Sparre Andersen
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