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Re: Motion 6



Vincent Lefevre wrote:
On 2009-09-21 12:41:12 +0200, Arnold Neumaier wrote:
Vincent Lefevre wrote:
On 2009-09-21 10:41:07 +0200, Arnold Neumaier wrote:
The little difference may be decisive, though, for example when
checking algebraic numbers for their sign, using multiprecision
arithmetic. x in 1e-10000 + [0,Inf] encodes sign information,
which is lost when going to midrad.
Yes, but such kind of application (where intervals can be very
large), you should use infsup. Don't use midrad if your application
is not suited for midrad.
I had thought it was you who had been recommending midrad for
rigorous multipresicion calculations.

No, I'm not recommending midrad for every multiprecision applications.
I'm saying that the standard should *not exclude* midrad.

The standard does not exclude midrad already by not specifying anything
but conversion rules.


Arnold Neumaier