|Version 10 (modified by diatchki, 9 years ago) (diff)|
Functions may have polymorphic arguments, subject to three restrictions:
- Such functions must have explicit type signatures, using forall to bind polymorphic type variables, e.g.
g :: (forall a. a -> a) -> (Bool, Char)
- In the definition of the function, polymorphic arguments must be matched on the left-hand side, and can only be matched by a variable or wildcard (_) pattern. The variable then has the polymorphic type of the corresponding argument, e.g.
g f = (f True, f 'a')
- When such a function is used, it must be applied to at least as many arguments to include the polymorphic ones (so it's a good idea to put those first). Each expression must have a generalized type at least as general as that declared for the corresponding argument, e.g.
g id g undefined
The more general RankNTypes remove the last two restrictions.
Questions from Iavor:
- The restriction that polymorphic arguments have to be matched by variable or wildcard (_) patterns does not appear to be specific to rank-2 types---it seems like an orthogonal decision.
- While the rank-N proposal removes restriction (3), in many cases the results may be unexpected. For example, consider the classic example of using runST:
x = runST (return a) -- OK y = runST $ return 'a'The rank-2 design rejects y because runST needs an extra argument. The rank-N design accepts this use but later fails because the inferred type for 'runST' is 'less polymorphic than expected'.
- PolymorphicComponents do the same thing for data constructors.
- add RankNTypes or Rank2Types
- simple type inference
- offered by GHC and Hugs for years
- enables runST and similar devices
- used in cheap deforestation
- useful with non-regular (or nested) types
- useful with PolymorphicComponents
- functions with rank-2 types are not first class
- can be awkward in comparison with RankNTypes