Copyright	(C) 2011-2015 Edward Kmett
License	BSD-style (see the file LICENSE)
Maintainer	Edward Kmett <ekmett@gmail.com>
Stability	provisional
Portability	portable
Safe Haskell	Safe
Language	Haskell98

Data.Biapplicative

Contents

Description

Synopsis

Biapplicative bifunctors

Minimal complete definition

Methods

bipure :: a -> b -> p a b

(<<*>>) :: p (a -> b) (c -> d) -> p a c -> p b d infixl 4

(*>>) :: p a b -> p c d -> p c d infixl 4

a *> b ≡ const id <$> a <*> b

(<<*) :: p a b -> p c d -> p a b infixl 4

a <* b ≡ const <$> a <.> b

Instances

Biapplicative (,)
Biapplicative Const
Biapplicative Arg
Monoid x => Biapplicative ((,,) x)
Biapplicative (Tagged *)
Applicative f => Biapplicative (Clown f)
Biapplicative p => Biapplicative (Flip p)
Applicative g => Biapplicative (Joker g)
Biapplicative p => Biapplicative (WrappedBifunctor p)
(Monoid x, Monoid y) => Biapplicative ((,,,) x y)
(Biapplicative f, Biapplicative g) => Biapplicative (Product f g)
(Applicative f, Biapplicative p) => Biapplicative (Tannen f p)
(Monoid x, Monoid y, Monoid z) => Biapplicative ((,,,,) x y z)
(Biapplicative p, Applicative f, Applicative g) => Biapplicative (Biff p f g)
(Monoid x, Monoid y, Monoid z, Monoid w) => Biapplicative ((,,,,,) x y z w)
(Monoid x, Monoid y, Monoid z, Monoid w, Monoid v) => Biapplicative ((,,,,,,) x y z w v)

(<<$>>) :: (a -> b) -> a -> b infixl 4

(<<**>>) :: Biapplicative p => p a c -> p (a -> b) (c -> d) -> p b d infixl 4

biliftA2 :: Biapplicative w => (a -> b -> c) -> (d -> e -> f) -> w a d -> w b e -> w c f

Lift binary functions

biliftA3 :: Biapplicative w => (a -> b -> c -> d) -> (e -> f -> g -> h) -> w a e -> w b f -> w c g -> w d h

Lift ternary functions