I think the keyword you're looking for might be 'indexed', although that also seems to be used for something different (two indices for pre and post conditions). Your functor seems to be in 'index-core' [0], and probably other places (it seems there was something in category-extras but it's unclear where it went).

Regards,

Erik

[0] http://hackage.haskell.org/package/index-core-1.0.4/docs/Control-IMonad-Core.html

On 7 July 2017 at 06:48, Clinton Mead <clintonmead@gmail.com> wrote:
Consider the illustrative code below: 

{-# LANGUAGE GADTs #-}
{-# LANGUAGE DataKinds #-}
{-# LANGUAGE KindSignatures #-}
{-# LANGUAGE RankNTypes #-}
{-# LANGUAGE PolyKinds #-}
{-# LANGUAGE StandaloneDeriving #-}
{-# LANGUAGE UndecidableInstances #-}

data Param = Param1 | Param2

data T (p :: Param) where
  TInt :: Int -> T Param1
  TInteger :: Integer -> T Param1
  TBool :: Bool -> T Param2

data U (p :: Param) where
  UDouble :: Double -> U Param1
  UString :: String -> U Param2
  
data F (t :: Param -> *) where
  F :: t Param1 -> t Param2 -> F t
  
f :: T a -> U a
f (TInt x) = UDouble (fromIntegral x)
f (TInteger x) = UDouble (fromIntegral x)
f (TBool x) = UString (show x)

class MyFunctor f where
  myFmap :: (forall a. t a -> u a) -> f t -> f u
  
instance MyFunctor F where
  myFmap f (F x1 x2) = F (f x1) (f x2)

deriving instance Show (U a)
deriving instance (Show (t Param1), Show (t Param2)) => Show (F t)

main = print $ myFmap f (F (TInt 42) (TBool False))

Basically this is a sort of "higher order" functor, but I can't seem to fit it into an ordinary functor. 

But it seems like I'm reinventing the wheel, as my code is suspiciously like `Functor` but only slightly different. 

Has this sort of class already been created and if so what package is it in?



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