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Edge case conversions, exceptions to IEEE FPA



On (Fri, 14 Nov 2008 09:52:48 +0100) Arnold Neumaier wrote:
> The midpoint is usually used as is for subsequent point evaluation
> and may be approximate only but must lie in the interval.

Does this mean mid() would return signed realmax for a singly-bounded
interval, and 0 for Entire?  Or would it return signed Inf resp. NaN?
I suppose the former, so it can be used without restrictions.  Oh, I
forgot mid(Empty) -- surely that must be NaN, right?

Radius is clear:  +Inf for unbounded (incl. Entire), 0 for Empty, and
finite non-zero poitive otherwise.

Is there a requirement on intervalabs(mid(xx), rad(xx)) ?

Michel.
Sent: 2008-11-14 14:40:35 UTC