Numeric class lattice reworking?

Aaron Denney wnoise at ofb.net
Sun Jan 22 22:45:20 EST 2006


One of the complaints I've seen with people trying to do various
mathematical tasks in haskell is the inflexibility of the numeric
prelude.  The biggest issue is having (*) and (+) in the same
typeclass, but other generalizations are certainly possible.
MPTC would allow such things as modules with (*) having type a -> b -> b
which covers everything from group actions to scalar multiplication
of vectors.

Actually, a -> b -> c would be nice.  See
http://haskell.org/hawiki/DimensionalizedNumbers 
this would let me have multiplication of numbers with units, enforced at
the type level, while keeping the safety of (+) :: a -> a -> a.

Is there any chance of this sort of breakup happening?

-- 
Aaron Denney
-><-


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