From: Brian Drummond <brian@shapes.demon.co.uk>
Subject: Re: REAL
Date: Wed, 14 Mar 2012 20:37:28 +0000 (UTC)
Date: 2012-03-14T20:37:28+00:00 [thread overview]
Message-ID: <jjqvi8$ib8$1@dont-email.me> (raw)
In-Reply-To: 1u0x151ebygpz$.1f4x12uo70ifu$.dlg@40tude.net
On Wed, 14 Mar 2012 14:51:59 +0100, Dmitry A. Kazakov wrote:
> Interval arithmetic does not compute anything differently. It just keeps
> track of the error bounds.
>
> The disadvantages comparing to normal arithmetic is
(paraphrasing : a factor of two in hardware may not be very important,
but...)
> Comparing to analytical methods of error estimation. Intervals give a
> pessimistic one.
Indeed. As has been pointed out frequently on comp.arch by (I think) Nick
Maclaren, any sufficiently complex calculation in interval arithmetic
will return the interval (-inf, +inf).
> A manual analysis based on additional knowledge
> (especially if variables are dependant) may sufficiently improve the
> estimation.
But surely the same analysis can be performed on float arithmetic -
admittedly this time, to widen the estimated range.
- Brian
next prev parent reply other threads:[~2012-03-14 20:37 UTC|newest]
Thread overview: 63+ messages / expand[flat|nested] mbox.gz Atom feed top
2012-02-21 15:42 Verified compilers? Yannick Duchêne (Hibou57)
2012-02-24 1:41 ` Shark8
2012-02-24 8:52 ` Georg Bauhaus
2012-02-24 17:36 ` Peter C. Chapin
2012-03-06 1:27 ` Randy Brukardt
2012-03-06 17:24 ` Shark8
2012-03-06 17:43 ` Dmitry A. Kazakov
2012-03-06 19:03 ` Shark8
2012-03-07 5:33 ` Yannick Duchêne (Hibou57)
2012-03-07 9:12 ` Dmitry A. Kazakov
2012-03-07 17:49 ` Niklas Holsti
2012-03-07 20:17 ` Dmitry A. Kazakov
2012-03-07 23:28 ` Usefulness of Formal Notions in Programming (was: Verified compilers?) Georg Bauhaus
2012-03-08 9:24 ` Usefulness of Formal Notions in Programming Dmitry A. Kazakov
2012-03-08 10:30 ` Nasser M. Abbasi
2012-03-08 12:37 ` Dmitry A. Kazakov
2012-03-08 0:42 ` Verified compilers? Randy Brukardt
2012-03-08 9:25 ` Dmitry A. Kazakov
2012-03-08 18:10 ` Niklas Holsti
2012-03-08 20:41 ` Dmitry A. Kazakov
2012-03-08 18:02 ` Niklas Holsti
2012-03-08 20:40 ` Dmitry A. Kazakov
2012-03-09 0:44 ` Georg Bauhaus
2012-03-09 22:13 ` Niklas Holsti
2012-03-10 10:36 ` Dmitry A. Kazakov
2012-03-10 20:35 ` Niklas Holsti
2012-03-11 9:47 ` Dmitry A. Kazakov
2012-03-11 22:22 ` Niklas Holsti
2012-03-12 5:12 ` Niklas Holsti
2012-03-12 9:43 ` Dmitry A. Kazakov
2012-03-14 8:36 ` Niklas Holsti
2012-03-14 9:24 ` Georg Bauhaus
2012-03-14 11:14 ` REAL (was: Verified compilers?) stefan-lucks
2012-03-14 12:59 ` REAL Dmitry A. Kazakov
2012-03-14 13:30 ` REAL Georg Bauhaus
2012-03-14 13:51 ` REAL Dmitry A. Kazakov
2012-03-14 20:37 ` Brian Drummond [this message]
2012-03-14 21:52 ` REAL Dmitry A. Kazakov
2012-03-14 13:52 ` REAL georg bauhaus
2012-03-14 17:42 ` REAL Jeffrey Carter
2012-03-14 10:14 ` Verified compilers? Dmitry A. Kazakov
2012-03-14 20:13 ` Niklas Holsti
2012-03-11 10:55 ` Georg Bauhaus
2012-03-10 13:46 ` Brian Drummond
2012-03-07 1:00 ` Randy Brukardt
2012-03-07 12:42 ` Stuart
2012-03-08 1:06 ` Randy Brukardt
2012-03-08 9:04 ` Jacob Sparre Andersen
2012-03-08 9:37 ` Dmitry A. Kazakov
2012-03-08 11:23 ` Simon Wright
2012-03-08 12:27 ` Dmitry A. Kazakov
2012-03-08 10:23 ` Brian Drummond
2012-03-08 23:38 ` Bill Findlay
2012-03-09 13:56 ` Brian Drummond
2012-03-09 14:43 ` Shark8
2012-03-09 21:51 ` Brian Drummond
2012-03-09 15:49 ` Bill Findlay
2012-03-09 20:34 ` Brian Drummond
2012-03-09 19:40 ` Jeffrey Carter
2012-03-09 20:39 ` Brian Drummond
2012-03-09 23:59 ` phil.clayton
2012-03-08 15:23 ` Peter C. Chapin
2012-03-09 2:04 ` Randy Brukardt
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