请原谅我可能误用了下面的范畴论术语。如果我似乎有半点线索,我会判断自己非常成功。
我发现自己编写了一系列类来处理多种类型的构造函数的产品。像这样的东西:
import Control.Applicative
-- | RWS monad.
newtype RWS r w s a = RWS {runRWS :: r -> s -> (a, s, w)}
-- | A class for unary type constructors that support a Cartesian
-- product operation.
class ProductObject f where
(***) :: f a -> f b -> f (a, b)
infixr ***
-- | Example instance of 'ProductObject'.
instance ProductObject [] where
(***) = liftA2 (,)
-- | A class for binary type constructors (read as morphisms
-- between their type parameters) that support a product morphism
-- operation.
class ProductMorphism arrow where
(****) :: arrow a b -> arrow c d -> arrow (a, c) (b, d)
infixr ****
-- | Example instance of 'ProductMorphism'.
instance ProductMorphism (->) where
f **** g = \(a, c) -> (f a, g c)
-- | A class for ternary type constructors (read as two-place
-- multiarrows @a, b -> c@) with products.
class ProductMultimorphism2 arr2 where
(*****) :: arr2 a b c -> arr2 d e f -> arr2 (a, d) (b, e) (c, f)
infixr *****
-- | A class for ternary type constructors (read as two-place
-- multiarrows @a, b -> c@) with products.
class ProductMultimorphism3 arr3 where
(******) :: arr3 a b c d -> arr3 e f g h -> arr3 (a, e) (b, f) (c, g) (d, h)
infixr ******
-- | Let's pretend that the 'RWS' monad was not a type synonym
-- for 'RWST'. Then an example of 'ProductMorphism3' would be:
instance ProductMultimorphism3 RWS where
f ****** g = RWS $ \(fr, gr) (fs, gs) ->
let (fa, fs', fw) = runRWS f fr fs
(ga, gs', gw) = runRWS g gr gs
in ((fa, ga), (fs', gs'), (fw, gw))
现在,这很烦人,原因有几个。最大的问题是我必须修改我的应用程序中的一种类型以添加第三个参数,这意味着现在我必须找到****
该类型的所有用途并将它们更改为*****
.
我可以应用一些技巧来缓解这种情况吗?我试图了解PolyKinds
GHC 中是否适用于此,但是(a)进展缓慢,(b)我听说PolyKinds
GHC 7.4.x 中有错误。