Safe Haskell	None
Language	Haskell2010

Agda.Utils.Tuple

Synopsis

(-*-) :: (a -> c) -> (b -> d) -> (a, b) -> (c, d)
mapFst :: (a -> c) -> (a, b) -> (c, b)
mapSnd :: (b -> d) -> (a, b) -> (a, d)
(/\) :: (a -> b) -> (a -> c) -> a -> (b, c)
fst3 :: (a, b, c) -> a
snd3 :: (a, b, c) -> b
thd3 :: (a, b, c) -> c
swap :: (a, b) -> (b, a)
uncurry3 :: (a -> b -> c -> d) -> (a, b, c) -> d
uncurry4 :: (a -> b -> c -> d -> e) -> (a, b, c, d) -> e
mapPairM :: Applicative m => (a -> m c) -> (b -> m d) -> (a, b) -> m (c, d)
mapFstM :: Applicative m => (a -> m c) -> (a, b) -> m (c, b)
mapSndM :: Applicative m => (b -> m d) -> (a, b) -> m (a, d)
data Pair a = Pair a a

Documentation

(-*-) :: (a -> c) -> (b -> d) -> (a, b) -> (c, d) infix 2 Source #

Bifunctoriality for pairs.

mapFst :: (a -> c) -> (a, b) -> (c, b) Source #

mapFst f = f -*- id

mapSnd :: (b -> d) -> (a, b) -> (a, d) Source #

mapSnd g = id -*- g

(/\) :: (a -> b) -> (a -> c) -> a -> (b, c) infix 3 Source #

Lifted pairing.

fst3 :: (a, b, c) -> a Source #

snd3 :: (a, b, c) -> b Source #

thd3 :: (a, b, c) -> c Source #

swap :: (a, b) -> (b, a) #

Swap the components of a pair.

uncurry3 :: (a -> b -> c -> d) -> (a, b, c) -> d Source #

uncurry4 :: (a -> b -> c -> d -> e) -> (a, b, c, d) -> e Source #

mapPairM :: Applicative m => (a -> m c) -> (b -> m d) -> (a, b) -> m (c, d) Source #

Monadic version of -*-.

mapFstM :: Applicative m => (a -> m c) -> (a, b) -> m (c, b) Source #

Monadic mapFst.

mapSndM :: Applicative m => (b -> m d) -> (a, b) -> m (a, d) Source #

Monadic mapSnd.

data Pair a Source #

Constructors

Pair a a

Instances

Instances details

Functor Pair Source #
Instance details Defined in Agda.Utils.Tuple Methods fmap :: (a -> b) -> Pair a -> Pair b # (<$) :: a -> Pair b -> Pair a #
Applicative Pair Source #
Instance details Defined in Agda.Utils.Tuple Methods pure :: a -> Pair a # (<>) :: Pair (a -> b) -> Pair a -> Pair b # liftA2 :: (a -> b -> c) -> Pair a -> Pair b -> Pair c # (>) :: Pair a -> Pair b -> Pair b # (<*) :: Pair a -> Pair b -> Pair a #
Foldable Pair Source #
Instance details Defined in Agda.Utils.Tuple Methods fold :: Monoid m => Pair m -> m # foldMap :: Monoid m => (a -> m) -> Pair a -> m # foldMap' :: Monoid m => (a -> m) -> Pair a -> m # foldr :: (a -> b -> b) -> b -> Pair a -> b # foldr' :: (a -> b -> b) -> b -> Pair a -> b # foldl :: (b -> a -> b) -> b -> Pair a -> b # foldl' :: (b -> a -> b) -> b -> Pair a -> b # foldr1 :: (a -> a -> a) -> Pair a -> a # foldl1 :: (a -> a -> a) -> Pair a -> a # toList :: Pair a -> [a] # null :: Pair a -> Bool # length :: Pair a -> Int # elem :: Eq a => a -> Pair a -> Bool # maximum :: Ord a => Pair a -> a # minimum :: Ord a => Pair a -> a # sum :: Num a => Pair a -> a # product :: Num a => Pair a -> a #
Traversable Pair Source #
Instance details Defined in Agda.Utils.Tuple Methods traverse :: Applicative f => (a -> f b) -> Pair a -> f (Pair b) # sequenceA :: Applicative f => Pair (f a) -> f (Pair a) # mapM :: Monad m => (a -> m b) -> Pair a -> m (Pair b) # sequence :: Monad m => Pair (m a) -> m (Pair a) #
Eq a => Eq (Pair a) Source #
Instance details Defined in Agda.Utils.Tuple Methods (==) :: Pair a -> Pair a -> Bool # (/=) :: Pair a -> Pair a -> Bool #