|category-extras-0.53.6: Various modules and constructs inspired by category theory||Contents||Index|
|Portability||non-portable (rank-2 polymorphism)|
|Maintainer||Edward Kmett <firstname.lastname@example.org>|
|See Maarten Fokkinga''s PhD Dissertation for cascade and prepro.
g_prepro is an obvious generalization. The prepro variants of other
morphisms are distributed through the corresponding files.
|prepro :: Functor f => Algebra f c -> (f :~> f) -> FixF f -> c|
|g_prepro :: (Functor f, Comonad w) => Dist f w -> GAlgebra f w a -> (f :~> f) -> FixF f -> a|
|Generalized prepromorphisms, parameterized by a comonad
This is used to generate most of the specialized prepromorphisms in other modules.
You can use the distributive law combinators to build up analogues of other recursion
|cascade :: Bifunctor s Hask Hask Hask => (a -> a) -> Fix s a -> Fix s a|
cascade f . map f = map f . cascade f
cascade f = biprepro InB (first f)
cascade f = x where x = InB . bimap id (x . fmap f) . outB
cascade f = x where x = InB . bimap id (fmap f . x) . outB
|biprepro :: Bifunctor f Hask Hask Hask => Algebra (f a) c -> (f a :~> f a) -> Fix f a -> c|
|Prepromorphisms for bifunctors
|g_biprepro :: (Bifunctor f Hask Hask Hask, Comonad w) => Dist (f a) w -> GAlgebra (f a) w c -> (f a :~> f a) -> Fix f a -> c|
|Generalized bifunctor prepromorphism, parameterized by a comonad
|Produced by Haddock version 2.1.0|