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

Biapplicative bifunctors

Description

Synopsis

Biapplicative bifunctors

class Bifunctor p => Biapplicative p where Source

Minimal complete definition

bipure, (<<*>>)

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
Methods bipure :: a -> b -> (a, b) Source (<<>>) :: (a -> b, c -> d) -> (a, c) -> (b, d) Source (>>) :: (a, b) -> (c, d) -> (c, d) Source (<<*) :: (a, b) -> (c, d) -> (a, b) Source
Biapplicative Const Source
Methods bipure :: a -> b -> Const a b Source (<<>>) :: Const (a -> b) (c -> d) -> Const a c -> Const b d Source (>>) :: Const a b -> Const c d -> Const c d Source (<<*) :: Const a b -> Const c d -> Const a b Source
Biapplicative Arg Source
Methods bipure :: a -> b -> Arg a b Source (<<>>) :: Arg (a -> b) (c -> d) -> Arg a c -> Arg b d Source (>>) :: Arg a b -> Arg c d -> Arg c d Source (<<*) :: Arg a b -> Arg c d -> Arg a b Source
Monoid x => Biapplicative ((,,) x) Source
Methods bipure :: a -> b -> (x, a, b) Source (<<>>) :: (x, a -> b, c -> d) -> (x, a, c) -> (x, b, d) Source (>>) :: (x, a, b) -> (x, c, d) -> (x, c, d) Source (<<*) :: (x, a, b) -> (x, c, d) -> (x, a, b) Source
Biapplicative (Tagged *) Source
Methods bipure :: a -> b -> Tagged * a b Source (<<>>) :: Tagged (a -> b) (c -> d) -> Tagged * a c -> Tagged * b d Source (>>) :: Tagged a b -> Tagged * c d -> Tagged * c d Source (<<) :: Tagged a b -> Tagged * c d -> Tagged * a b Source
(Monoid x, Monoid y) => Biapplicative ((,,,) x y) Source
Methods bipure :: a -> b -> (x, y, a, b) Source (<<>>) :: (x, y, a -> b, c -> d) -> (x, y, a, c) -> (x, y, b, d) Source (>>) :: (x, y, a, b) -> (x, y, c, d) -> (x, y, c, d) Source (<<*) :: (x, y, a, b) -> (x, y, c, d) -> (x, y, a, b) Source
(Monoid x, Monoid y, Monoid z) => Biapplicative ((,,,,) x y z) Source
Methods bipure :: a -> b -> (x, y, z, a, b) Source (<<>>) :: (x, y, z, a -> b, c -> d) -> (x, y, z, a, c) -> (x, y, z, b, d) Source (>>) :: (x, y, z, a, b) -> (x, y, z, c, d) -> (x, y, z, c, d) Source (<<*) :: (x, y, z, a, b) -> (x, y, z, c, d) -> (x, y, z, a, b) Source
Applicative f => Biapplicative (Clown * * f) Source
Methods bipure :: a -> b -> Clown * * f a b Source (<<>>) :: Clown * f (a -> b) (c -> d) -> Clown * * f a c -> Clown * * f b d Source (>>) :: Clown * f a b -> Clown * * f c d -> Clown * * f c d Source (<<) :: Clown * f a b -> Clown * * f c d -> Clown * * f a b Source
Biapplicative p => Biapplicative (Flip * * p) Source
Methods bipure :: a -> b -> Flip * * p a b Source (<<>>) :: Flip * p (a -> b) (c -> d) -> Flip * * p a c -> Flip * * p b d Source (>>) :: Flip * p a b -> Flip * * p c d -> Flip * * p c d Source (<<) :: Flip * p a b -> Flip * * p c d -> Flip * * p a b Source
Applicative g => Biapplicative (Joker * * g) Source
Methods bipure :: a -> b -> Joker * * g a b Source (<<>>) :: Joker * g (a -> b) (c -> d) -> Joker * * g a c -> Joker * * g b d Source (>>) :: Joker * g a b -> Joker * * g c d -> Joker * * g c d Source (<<) :: Joker * g a b -> Joker * * g c d -> Joker * * g a b Source
Biapplicative p => Biapplicative (WrappedBifunctor * * p) Source
Methods bipure :: a -> b -> WrappedBifunctor * * p a b Source (<<>>) :: WrappedBifunctor * p (a -> b) (c -> d) -> WrappedBifunctor * * p a c -> WrappedBifunctor * * p b d Source (>>) :: WrappedBifunctor * p a b -> WrappedBifunctor * * p c d -> WrappedBifunctor * * p c d Source (<<) :: WrappedBifunctor * p a b -> WrappedBifunctor * * p c d -> WrappedBifunctor * * p a b Source
(Monoid x, Monoid y, Monoid z, Monoid w) => Biapplicative ((,,,,,) x y z w) Source
Methods bipure :: a -> b -> (x, y, z, w, a, b) Source (<<>>) :: (x, y, z, w, a -> b, c -> d) -> (x, y, z, w, a, c) -> (x, y, z, w, b, d) Source (>>) :: (x, y, z, w, a, b) -> (x, y, z, w, c, d) -> (x, y, z, w, c, d) Source (<<*) :: (x, y, z, w, a, b) -> (x, y, z, w, c, d) -> (x, y, z, w, a, b) Source
(Biapplicative f, Biapplicative g) => Biapplicative (Product * * f g) Source
Methods bipure :: a -> b -> Product * * f g a b Source (<<>>) :: Product * f g (a -> b) (c -> d) -> Product * * f g a c -> Product * * f g b d Source (>>) :: Product * f g a b -> Product * * f g c d -> Product * * f g c d Source (<<) :: Product * f g a b -> Product * * f g c d -> Product * * f g a b Source
(Monoid x, Monoid y, Monoid z, Monoid w, Monoid v) => Biapplicative ((,,,,,,) x y z w v) Source
Methods bipure :: a -> b -> (x, y, z, w, v, a, b) Source (<<>>) :: (x, y, z, w, v, a -> b, c -> d) -> (x, y, z, w, v, a, c) -> (x, y, z, w, v, b, d) Source (>>) :: (x, y, z, w, v, a, b) -> (x, y, z, w, v, c, d) -> (x, y, z, w, v, c, d) Source (<<*) :: (x, y, z, w, v, a, b) -> (x, y, z, w, v, c, d) -> (x, y, z, w, v, a, b) Source
(Applicative f, Biapplicative p) => Biapplicative (Tannen * * * f p) Source
Methods bipure :: a -> b -> Tannen * * * f p a b Source (<<>>) :: Tannen * * f p (a -> b) (c -> d) -> Tannen * * * f p a c -> Tannen * * * f p b d Source (>>) :: Tannen * * f p a b -> Tannen * * * f p c d -> Tannen * * * f p c d Source (<<) :: Tannen * * f p a b -> Tannen * * * f p c d -> Tannen * * * f p a b Source
(Biapplicative p, Applicative f, Applicative g) => Biapplicative (Biff * * * * p f g) Source
Methods bipure :: a -> b -> Biff * * * * p f g a b Source (<<>>) :: Biff * * * p f g (a -> b) (c -> d) -> Biff * * * * p f g a c -> Biff * * * * p f g b d Source (>>) :: Biff * * * p f g a b -> Biff * * * * p f g c d -> Biff * * * * p f g c d Source (<<) :: Biff * * * p f g a b -> Biff * * * * p f g c d -> Biff * * * * p f g a b 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

module Data.Bifunctor