Re: Multi-precision (was...Please give me advice)
On 2010-10-15 16:14:16 +0200, Arnold Neumaier wrote:
> Vincent Lefevre wrote:
> >Well, [-1,inf] is far from being an accurate representation of a real
> >number!
>
> It is an accurate representation of a connected, real domain.
If you want to deal with such domains, do not use mid-rad.
> Intervals often do not represent an inaccurate number but
> (and indeed often) a range of possible numbers.
But then, do not use mid-rad.
> A standard must ensure a minimum quality for all interesting
> applications, not only for those where an interval just measures
> the inaccuracy in a not exactly computed number.
What is an "interesting application" is very subjective. For instance,
I would say that applications that need multiple precision can be
"interesting applications". But would the standard require arbitrary
precision?
--
Vincent Lefèvre <vincent@xxxxxxxxxx> - Web: <http://www.vinc17.net/>
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Work: CR INRIA - computer arithmetic / Arénaire project (LIP, ENS-Lyon)