Add (->) representation and the Invariant class to GHC.Generics
We currently disallow any use of the parameter in the domain of (->).
newtype F a = F ((a -> Int) -> Int) deriving Generic1 <interactive>:4:38: Can't make a derived instance of `Generic1 (F g)': Constructor `F' must use the last type parameter only as the last argument of a data type, newtype, or (->) In the data declaration for `F'
!DeriveFunctor succeeds for this F.
I'd like to add this representation type to GHC.Generics and !DeriveGeneric.
newtype (f :->: g) a = FArrow1 (f a -> g a)
We could then represent the first example above. We could also derive the more interesting Generic1 (F g).
newtype F g a = F (g a -> Int) deriving Generic1 type instance Rep1 (F g) = Rec1 g :->: Rec0 Int instance Generic1 (F g) where to x = F $ unRec0 . unArrow1 x . Rec1 from (F x) = FArrow1 $ Rec0 . x . unRec1
Admittedly, there's not many generic definitions impeded by not having (:->:). Contra- and in-variant types are uncommon.
I'm suggesting this feature without strong motivating examples because I think this would streamline the implementation of -XDeriveGenerics in some ways while also making it more general — assuming that we added the Invariant class to base or ghc-prim.
class Invariant t where invmap :: (a -> b) -> (b -> a) -> t a -> t b invmap_covariant :: Functor t => (a -> b) -> (b -> a) -> t a -> t b invmap_covariant f _ = fmap f instance (Invariant f,Invariant g) => Invariant (FArrow f g) where invmap co contra (FArrow h) = FArrow $ invmap co contra . h . invmap contra co
(Of course, Invariant should be a super class of Functor. :/ )
Now we can handle quite involved examples:
newtype F g h a = F (g (h a)) deriving Generic1 instance Invariant g => Generic1 (F g h) where to x = invmap unRec1 Rec1 $ unComp1 x from (F x) = Comp1 $ invmap Rec1 unRec1
All of that said, I'm mostly opening this ticket so I can get feedback on difficulties I might not be anticipating and have a place to reference from the compiler source code comments.
|Component||Compiler (Type checker)|