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Re: MidRad -- and Two Different Application Domains (TDAD).



Vincent Lefevre wrote:
On 2009-09-17 13:28:43 +0100, John Pryce wrote:
On 17 Sep 2009, at 11:59, Arnold Neumaier wrote:

Standardising midrad has difficulties not present with infsup (non-
uniqueness of finite precision interval hull,

That's why it may be interesting to have it standardized, so that
different midrad implementations do not behave too differently.

There is not even a canonical definition of what it could mean to perform a midrad multiplication in finite precision arithmetic. Because of rounding error issues, it would be very difficult to standardize it without fixing the algorithm that computes thing.

Each multiple precision package should handle it in its own way....


Arnold Neumaier