Paul Johnson wrote:
"Brian Hulley" <[EMAIL PROTECTED]> wrote:
What about a library for interval arithmetic [1]?
[Interval 5 5] / [Interval -1 1] = [FromNegInfinityTo -5,
ToPosInfinityFrom 5]
Take a look at my Ranged Sets library at
http://sourceforge.net/projects/ranged-sets
Hi Paul -
Thanks for the link to your lib (do you want to add a link from
http://www.haskell.org/haskellwiki/Libraries_and_tools/Mathematics ?)
I've only had time to have a brief look but it seems that RSet's could be
used as interval arithmetic numbers with suitable instance decls for Num
etc. My knowledge of interval arithmetic itself however is not sufficient to
tell at this moment if the full generality of RSet's is actually needed ie
perhaps it is enough to just say that division by a range containing zero
should be undefined and perhaps there are no other ops which would cause
more than one result range in which case it would be inefficient to use a
more general representation than needed.
Possibly there could be two different implementations of interval
arithmetic - one allowing for multiple ranges and one that just treated
division by an interval containing zero (and other problematic situations)
to be undefined, so that the results of each op would be a single range when
machine-level speed is needed and it is known in advance that division by
zero etc will not happen in the specific problem domain.
Anyway thanks for sharing your library with a nice BSD3 license! :-)
Regards, Brian.
--
Logic empowers us and Love gives us purpose.
Yet still phantoms restless for eras long past,
congealed in the present in unthought forms,
strive mightily unseen to destroy us.
http://www.metamilk.com
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