Safe Haskell	Safe
Language	Haskell2010

Fcf.Classes

Description

Overloaded functions.

Synopsis

data Map :: (a -> Exp b) -> f a -> Exp (f b)
data Bimap :: (a -> Exp a') -> (b -> Exp b') -> f a b -> Exp (f a' b')

Documentation

data Map :: (a -> Exp b) -> f a -> Exp (f b) Source #

Type-level fmap for type-level functors.

Example

Expand

>>> import Fcf.Data.Nat
>>> import qualified GHC.TypeLits as TL
>>> data AddMul :: Nat -> Nat -> Exp Nat
>>> type instance Eval (AddMul x y) = (x TL.+ y) TL.* (x TL.+ y)
>>> :kind! Eval (Map (AddMul 2) '[0, 1, 2, 3, 4])
Eval (Map (AddMul 2) '[0, 1, 2, 3, 4]) :: [Nat]
= '[4, 9, 16, 25, 36]

Instances

Instances details

type Eval (Map f (a2 ': as) :: [b] -> Type) Source #
Instance details Defined in Fcf.Classes type Eval (Map f (a2 ': as) :: [b] -> Type) = Eval (f a2) ': Eval (Map f as)
type Eval (Map f ('[] :: [a]) :: [b] -> Type) Source #
Instance details Defined in Fcf.Classes type Eval (Map f ('[] :: [a]) :: [b] -> Type) = '[] :: [b]
type Eval (Map f ('Just a3) :: Maybe a2 -> Type) Source #
Instance details Defined in Fcf.Classes type Eval (Map f ('Just a3) :: Maybe a2 -> Type) = 'Just (Eval (f a3))
type Eval (Map f ('Nothing :: Maybe a) :: Maybe b -> Type) Source #
Instance details Defined in Fcf.Classes type Eval (Map f ('Nothing :: Maybe a) :: Maybe b -> Type) = 'Nothing :: Maybe b
type Eval (Map f ('Right a3 :: Either a2 a1) :: Either a2 b -> Type) Source #
Instance details Defined in Fcf.Classes type Eval (Map f ('Right a3 :: Either a2 a1) :: Either a2 b -> Type) = 'Right (Eval (f a3)) :: Either a2 b
type Eval (Map f ('Left x :: Either a2 a1) :: Either a2 b -> Type) Source #
Instance details Defined in Fcf.Classes type Eval (Map f ('Left x :: Either a2 a1) :: Either a2 b -> Type) = 'Left x :: Either a2 b
type Eval (Map f '(x, a2) :: (k2, k1) -> Type) Source #
Instance details Defined in Fcf.Classes type Eval (Map f '(x, a2) :: (k2, k1) -> Type) = '(x, Eval (f a2))
type Eval (Map f '(x, y, a2) :: (k2, k3, k1) -> Type) Source #
Instance details Defined in Fcf.Classes type Eval (Map f '(x, y, a2) :: (k2, k3, k1) -> Type) = '(x, y, Eval (f a2))
type Eval (Map f '(x, y, z, a2) :: (k2, k3, k4, k1) -> Type) Source #
Instance details Defined in Fcf.Classes type Eval (Map f '(x, y, z, a2) :: (k2, k3, k4, k1) -> Type) = '(x, y, z, Eval (f a2))
type Eval (Map f '(x, y, z, w, a2) :: (k2, k3, k4, k5, k1) -> Type) Source #
Instance details Defined in Fcf.Classes type Eval (Map f '(x, y, z, w, a2) :: (k2, k3, k4, k5, k1) -> Type) = '(x, y, z, w, Eval (f a2))

data Bimap :: (a -> Exp a') -> (b -> Exp b') -> f a b -> Exp (f a' b') Source #

Type-level bimap.

Instances

Instances details

type Eval (Bimap f g ('Right y :: Either a b1) :: Either a' b2 -> Type) Source #
Instance details Defined in Fcf.Classes type Eval (Bimap f g ('Right y :: Either a b1) :: Either a' b2 -> Type) = 'Right (Eval (g y)) :: Either a' b2
type Eval (Bimap f g ('Left x :: Either a1 b) :: Either a2 b' -> Type) Source #
Instance details Defined in Fcf.Classes type Eval (Bimap f g ('Left x :: Either a1 b) :: Either a2 b' -> Type) = 'Left (Eval (f x)) :: Either a2 b'
type Eval (Bimap f g '(x, y) :: (k1, k2) -> Type) Source #
Instance details Defined in Fcf.Classes type Eval (Bimap f g '(x, y) :: (k1, k2) -> Type) = '(Eval (f x), Eval (g y))