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Re: Re-submission of motion 5: multiple-format arithmetic.

Arnold Neumaier wrote:

Nate Hayes schrieb:

John Pryce wrote:



.
.
.

I believe nothing in this motion and rationale hinders the
implementation of various forms of non-standard intervals -- Kahan,
modal, etc. -- as discussed at the end of Vienna/1.2.


I've mentioned before this is simply not true. If traps or flags are only
way to obtain NaI result from an interval operation such as 1/[-2,3], this 
is hinderance to efficient modal interval implementations.


This is another eason why modal intervals should not be part of
the standard. It makes the latter unnecessarily complicated,
only to introduce an error-prone technique that can be safely handled
only by a tiny minority of users.

Not deciding this issue (modal or not) very soon will constitute a
major quarrel in each issue to be decided.



Does someone wish to formulate and formally put forward a
simple motion to decide whether or not the standard should
explicitly contain specifications for modal arithmetic?

Baker


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R. Baker Kearfott,    rbk@xxxxxxxxxxxxx   (337) 482-5346 (fax)
(337) 482-5270 (work)                     (337) 993-1827 (home)
URL: http://interval.louisiana.edu/kearfott.html
Department of Mathematics, University of Louisiana at Lafayette
(Room 217 Maxim D. Doucet Hall, 1403 Johnston Street)
Box 4-1010, Lafayette, LA 70504-1010, USA
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