category-extras-0.50.3: Various modules and constructs inspired by category theoryContentsIndex
Control.Morphism.Hylo
Portabilitynon-portable (rank-2 polymorphism)
Stabilityexperimental
MaintainerEdward Kmett <ekmett@gmail.com>
Description
Generalized hylomorphisms
Synopsis
hylo :: Functor f => Algebra g b -> (f :~> g) -> Coalgebra f a -> a -> b
g_hylo :: (Comonad w, Functor f, Monad m) => Dist g w -> Dist m f -> GAlgebra g w b -> (f :~> g) -> GCoalgebra f m a -> a -> b
bihylo :: QFunctor f Hask Hask => Algebra (g d) b -> (f c :~> g d) -> Coalgebra (f c) a -> a -> b
g_bihylo :: (Comonad w, QFunctor f Hask Hask, Monad m) => Dist (g d) w -> Dist m (f c) -> GAlgebra (g d) w b -> (f c :~> g d) -> GCoalgebra (f c) m a -> a -> b
hhylo :: HFunctor f => HAlgebra f b -> HCoalgebra f a -> a :~> b
Documentation
hylo :: Functor f => Algebra g b -> (f :~> g) -> Coalgebra f a -> a -> b
g_hylo :: (Comonad w, Functor f, Monad m) => Dist g w -> Dist m f -> GAlgebra g w b -> (f :~> g) -> GCoalgebra f m a -> a -> b
bihylo :: QFunctor f Hask Hask => Algebra (g d) b -> (f c :~> g d) -> Coalgebra (f c) a -> a -> b
g_bihylo :: (Comonad w, QFunctor f Hask Hask, Monad m) => Dist (g d) w -> Dist m (f c) -> GAlgebra (g d) w b -> (f c :~> g d) -> GCoalgebra (f c) m a -> a -> b
hhylo :: HFunctor f => HAlgebra f b -> HCoalgebra f a -> a :~> b
higher order hylomorphisms for use in building up and tearing down higher order functors
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