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Re: Multi-precision (was...Please give me advice)

Vincent Lefevre wrote:

On 2010-10-15 06:42:58 -0400, Michel Hack wrote:

This discussion again suffers from the one-sided view that intervals
represent uncertain numbers.

When intervals are used to express ranges of values, the concept of a
midpoint frequently doesn't even make sense.


But one wouldn't normally use mid-rad to express ranges of values;
inf-sup is more suited for that.
inf-sup is indeed more suited for _most_ purposes, except for extremely high precision, where the triplex format is the best.
But I thought the discussion was about whether a multiprecision arithmetic could be the _only_ supported interval type. 
Then one _must_ use it for ranges; so it must support ranges well.



I'm just saying that an implementation should have the choice,
depending on the application. Just like IEEE-754 leaves the choice
of the radix to the implementation (and possibly both binary and
decimal could be implemented, but this is not required).