Control.Monad.Zip

Monadic zipping (used for monad comprehensions)

Documentation

class Monad m => MonadZip m where

MonadZip type class. Minimal definition: mzip or mzipWith

Instances should satisfy the laws:

• Naturality :

liftM (f *** g) (mzip ma mb) = mzip (liftM f ma) (liftM g mb)

• Information Preservation:

liftM (const ()) ma = liftM (const ()) mb
==>
munzip (mzip ma mb) = (ma, mb)

Minimal complete definition

mzip | mzipWith

Methods

mzip :: m a -> m b -> m (a, b)

mzipWith :: (a -> b -> c) -> m a -> m b -> m c

munzip :: m (a, b) -> (m a, m b)

Instances

MonadZip []

Methods

mzip :: [a] -> [b] -> [(a, b)]

mzipWith :: (a -> b -> c) -> [a] -> [b] -> [c]

munzip :: [(a, b)] -> ([a], [b])

MonadZip Maybe

Methods

mzip :: Maybe a -> Maybe b -> Maybe (a, b)

mzipWith :: (a -> b -> c) -> Maybe a -> Maybe b -> Maybe c

munzip :: Maybe (a, b) -> (Maybe a, Maybe b)

MonadZip U1

Methods

mzip :: U1 a -> U1 b -> U1 (a, b)

mzipWith :: (a -> b -> c) -> U1 a -> U1 b -> U1 c

munzip :: U1 (a, b) -> (U1 a, U1 b)

MonadZip Par1

Methods

mzip :: Par1 a -> Par1 b -> Par1 (a, b)

mzipWith :: (a -> b -> c) -> Par1 a -> Par1 b -> Par1 c

munzip :: Par1 (a, b) -> (Par1 a, Par1 b)

MonadZip Last

Methods

mzip :: Last a -> Last b -> Last (a, b)

mzipWith :: (a -> b -> c) -> Last a -> Last b -> Last c

munzip :: Last (a, b) -> (Last a, Last b)

MonadZip First

Methods

mzip :: First a -> First b -> First (a, b)

mzipWith :: (a -> b -> c) -> First a -> First b -> First c

munzip :: First (a, b) -> (First a, First b)

MonadZip Product

Methods

mzip :: Product a -> Product b -> Product (a, b)

mzipWith :: (a -> b -> c) -> Product a -> Product b -> Product c

munzip :: Product (a, b) -> (Product a, Product b)

MonadZip Sum

Methods

mzip :: Sum a -> Sum b -> Sum (a, b)

mzipWith :: (a -> b -> c) -> Sum a -> Sum b -> Sum c

munzip :: Sum (a, b) -> (Sum a, Sum b)

MonadZip Dual

Methods

mzip :: Dual a -> Dual b -> Dual (a, b)

mzipWith :: (a -> b -> c) -> Dual a -> Dual b -> Dual c

munzip :: Dual (a, b) -> (Dual a, Dual b)

MonadZip NonEmpty

Methods

mzip :: NonEmpty a -> NonEmpty b -> NonEmpty (a, b)

mzipWith :: (a -> b -> c) -> NonEmpty a -> NonEmpty b -> NonEmpty c

munzip :: NonEmpty (a, b) -> (NonEmpty a, NonEmpty b)

MonadZip Identity

Methods

mzip :: Identity a -> Identity b -> Identity (a, b)

mzipWith :: (a -> b -> c) -> Identity a -> Identity b -> Identity c

munzip :: Identity (a, b) -> (Identity a, Identity b)

MonadZip f => MonadZip (Rec1 f)

Methods

mzip :: Rec1 f a -> Rec1 f b -> Rec1 f (a, b)

mzipWith :: (a -> b -> c) -> Rec1 f a -> Rec1 f b -> Rec1 f c

munzip :: Rec1 f (a, b) -> (Rec1 f a, Rec1 f b)

MonadZip (Proxy *)

Methods

mzip :: Proxy * a -> Proxy * b -> Proxy * (a, b)

mzipWith :: (a -> b -> c) -> Proxy * a -> Proxy * b -> Proxy * c

munzip :: Proxy * (a, b) -> (Proxy * a, Proxy * b)

(MonadZip f, MonadZip g) => MonadZip ((:*:) f g)

Methods

mzip :: (f :*: g) a -> (f :*: g) b -> (f :*: g) (a, b)

mzipWith :: (a -> b -> c) -> (f :*: g) a -> (f :*: g) b -> (f :*: g) c

munzip :: (f :*: g) (a, b) -> ((f :*: g) a, (f :*: g) b)

MonadZip f => MonadZip (Alt * f)

Methods

mzip :: Alt * f a -> Alt * f b -> Alt * f (a, b)

mzipWith :: (a -> b -> c) -> Alt * f a -> Alt * f b -> Alt * f c

munzip :: Alt * f (a, b) -> (Alt * f a, Alt * f b)

MonadZip f => MonadZip (M1 i c f)

Methods

mzip :: M1 i c f a -> M1 i c f b -> M1 i c f (a, b)

mzipWith :: (a -> b -> c) -> M1 i c f a -> M1 i c f b -> M1 i c f c

munzip :: M1 i c f (a, b) -> (M1 i c f a, M1 i c f b)

(MonadZip f, MonadZip g) => MonadZip (Product * f g)

Methods

mzip :: Product * f g a -> Product * f g b -> Product * f g (a, b)

mzipWith :: (a -> b -> c) -> Product * f g a -> Product * f g b -> Product * f g c

munzip :: Product * f g (a, b) -> (Product * f g a, Product * f g b)