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 Source

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

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

a *>> b ≡ bimap (const id) (const id) <<$>> a <<*>> b

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

a <<* b ≡ bimap const const <<$>> a <<*>> b

Instances

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

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

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

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

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 Source

Lift ternary functions