diagrams-lib-1.4.2: Embedded domain-specific language for declarative graphics

Copyright(c) 2011-2015 diagrams-lib team (see LICENSE)
LicenseBSD-style (see LICENSE)
Maintainerdiagrams-discuss@googlegroups.com
Safe HaskellNone
LanguageHaskell2010

Diagrams.Prelude

Contents

Description

A module to re-export most of the functionality of the diagrams core and standard library.

Synopsis

Diagrams library

Exports from this library for working with diagrams.

module Diagrams

Convenience re-exports from other packages

For working with default values. Diagrams also exports with, an alias for def.

For representing and operating on colors.

A large list of color names.

Specify your own colours.

Semigroups and monoids show up all over the place, so things from Data.Semigroup and Data.Monoid often come in handy.

For computing with vectors.

For computing with points and vectors.

For computing with dot products and norm.

For working with Active (i.e. animated) things.

Most of the lens package. The following functions are not exported from lens because they either conflict with diagrams or may conflict with other libraries:

class Functor f => Applicative (f :: * -> *) where #

A functor with application, providing operations to

  • embed pure expressions (pure), and
  • sequence computations and combine their results (<*> and liftA2).

A minimal complete definition must include implementations of pure and of either <*> or liftA2. If it defines both, then they must behave the same as their default definitions:

(<*>) = liftA2 id liftA2 f x y = f <$> x <*> y

Further, any definition must satisfy the following:

identity
pure id <*> v = v
composition
pure (.) <*> u <*> v <*> w = u <*> (v <*> w)
homomorphism
pure f <*> pure x = pure (f x)
interchange
u <*> pure y = pure ($ y) <*> u

The other methods have the following default definitions, which may be overridden with equivalent specialized implementations:

As a consequence of these laws, the Functor instance for f will satisfy

It may be useful to note that supposing

forall x y. p (q x y) = f x . g y

it follows from the above that

liftA2 p (liftA2 q u v) = liftA2 f u . liftA2 g v

If f is also a Monad, it should satisfy

(which implies that pure and <*> satisfy the applicative functor laws).

Minimal complete definition

pure, ((<*>) | liftA2)

Methods

pure :: a -> f a #

Lift a value.

(<*>) :: f (a -> b) -> f a -> f b infixl 4 #

Sequential application.

A few functors support an implementation of <*> that is more efficient than the default one.

liftA2 :: (a -> b -> c) -> f a -> f b -> f c #

Lift a binary function to actions.

Some functors support an implementation of liftA2 that is more efficient than the default one. In particular, if fmap is an expensive operation, it is likely better to use liftA2 than to fmap over the structure and then use <*>.

(*>) :: f a -> f b -> f b infixl 4 #

Sequence actions, discarding the value of the first argument.

(<*) :: f a -> f b -> f a infixl 4 #

Sequence actions, discarding the value of the second argument.

Instances

Applicative []

Since: 2.1

Methods

pure :: a -> [a] #

(<*>) :: [a -> b] -> [a] -> [b] #

liftA2 :: (a -> b -> c) -> [a] -> [b] -> [c] #

(*>) :: [a] -> [b] -> [b] #

(<*) :: [a] -> [b] -> [a] #

Applicative Maybe

Since: 2.1

Methods

pure :: a -> Maybe a #

(<*>) :: Maybe (a -> b) -> Maybe a -> Maybe b #

liftA2 :: (a -> b -> c) -> Maybe a -> Maybe b -> Maybe c #

(*>) :: Maybe a -> Maybe b -> Maybe b #

(<*) :: Maybe a -> Maybe b -> Maybe a #

Applicative IO

Since: 2.1

Methods

pure :: a -> IO a #

(<*>) :: IO (a -> b) -> IO a -> IO b #

liftA2 :: (a -> b -> c) -> IO a -> IO b -> IO c #

(*>) :: IO a -> IO b -> IO b #

(<*) :: IO a -> IO b -> IO a #

Applicative Par1

Since: 4.9.0.0

Methods

pure :: a -> Par1 a #

(<*>) :: Par1 (a -> b) -> Par1 a -> Par1 b #

liftA2 :: (a -> b -> c) -> Par1 a -> Par1 b -> Par1 c #

(*>) :: Par1 a -> Par1 b -> Par1 b #

(<*) :: Par1 a -> Par1 b -> Par1 a #

Applicative Q 

Methods

pure :: a -> Q a #

(<*>) :: Q (a -> b) -> Q a -> Q b #

liftA2 :: (a -> b -> c) -> Q a -> Q b -> Q c #

(*>) :: Q a -> Q b -> Q b #

(<*) :: Q a -> Q b -> Q a #

Applicative Active 

Methods

pure :: a -> Active a #

(<*>) :: Active (a -> b) -> Active a -> Active b #

liftA2 :: (a -> b -> c) -> Active a -> Active b -> Active c #

(*>) :: Active a -> Active b -> Active b #

(<*) :: Active a -> Active b -> Active a #

Applicative Duration 

Methods

pure :: a -> Duration a #

(<*>) :: Duration (a -> b) -> Duration a -> Duration b #

liftA2 :: (a -> b -> c) -> Duration a -> Duration b -> Duration c #

(*>) :: Duration a -> Duration b -> Duration b #

(<*) :: Duration a -> Duration b -> Duration a #

Applicative P

Since: 4.5.0.0

Methods

pure :: a -> P a #

(<*>) :: P (a -> b) -> P a -> P b #

liftA2 :: (a -> b -> c) -> P a -> P b -> P c #

(*>) :: P a -> P b -> P b #

(<*) :: P a -> P b -> P a #

Applicative Complex

Since: 4.9.0.0

Methods

pure :: a -> Complex a #

(<*>) :: Complex (a -> b) -> Complex a -> Complex b #

liftA2 :: (a -> b -> c) -> Complex a -> Complex b -> Complex c #

(*>) :: Complex a -> Complex b -> Complex b #

(<*) :: Complex a -> Complex b -> Complex a #

Applicative Min

Since: 4.9.0.0

Methods

pure :: a -> Min a #

(<*>) :: Min (a -> b) -> Min a -> Min b #

liftA2 :: (a -> b -> c) -> Min a -> Min b -> Min c #

(*>) :: Min a -> Min b -> Min b #

(<*) :: Min a -> Min b -> Min a #

Applicative Max

Since: 4.9.0.0

Methods

pure :: a -> Max a #

(<*>) :: Max (a -> b) -> Max a -> Max b #

liftA2 :: (a -> b -> c) -> Max a -> Max b -> Max c #

(*>) :: Max a -> Max b -> Max b #

(<*) :: Max a -> Max b -> Max a #

Applicative First

Since: 4.9.0.0

Methods

pure :: a -> First a #

(<*>) :: First (a -> b) -> First a -> First b #

liftA2 :: (a -> b -> c) -> First a -> First b -> First c #

(*>) :: First a -> First b -> First b #

(<*) :: First a -> First b -> First a #

Applicative Last

Since: 4.9.0.0

Methods

pure :: a -> Last a #

(<*>) :: Last (a -> b) -> Last a -> Last b #

liftA2 :: (a -> b -> c) -> Last a -> Last b -> Last c #

(*>) :: Last a -> Last b -> Last b #

(<*) :: Last a -> Last b -> Last a #

Applicative Option

Since: 4.9.0.0

Methods

pure :: a -> Option a #

(<*>) :: Option (a -> b) -> Option a -> Option b #

liftA2 :: (a -> b -> c) -> Option a -> Option b -> Option c #

(*>) :: Option a -> Option b -> Option b #

(<*) :: Option a -> Option b -> Option a #

Applicative NonEmpty

Since: 4.9.0.0

Methods

pure :: a -> NonEmpty a #

(<*>) :: NonEmpty (a -> b) -> NonEmpty a -> NonEmpty b #

liftA2 :: (a -> b -> c) -> NonEmpty a -> NonEmpty b -> NonEmpty c #

(*>) :: NonEmpty a -> NonEmpty b -> NonEmpty b #

(<*) :: NonEmpty a -> NonEmpty b -> NonEmpty a #

Applicative ZipList
f '<$>' 'ZipList' xs1 '<*>' ... '<*>' 'ZipList' xsN

ZipList (zipWithN f xs1 ... xsN)

where zipWithN refers to the zipWith function of the appropriate arity (zipWith, zipWith3, zipWith4, ...). For example:

(\a b c -> stimes c [a, b]) <$> ZipList "abcd" <*> ZipList "567" <*> ZipList [1..]
    = ZipList (zipWith3 (\a b c -> stimes c [a, b]) "abcd" "567" [1..])
    = ZipList {getZipList = ["a5","b6b6","c7c7c7"]}

Since: 2.1

Methods

pure :: a -> ZipList a #

(<*>) :: ZipList (a -> b) -> ZipList a -> ZipList b #

liftA2 :: (a -> b -> c) -> ZipList a -> ZipList b -> ZipList c #

(*>) :: ZipList a -> ZipList b -> ZipList b #

(<*) :: ZipList a -> ZipList b -> ZipList a #

Applicative Identity

Since: 4.8.0.0

Methods

pure :: a -> Identity a #

(<*>) :: Identity (a -> b) -> Identity a -> Identity b #

liftA2 :: (a -> b -> c) -> Identity a -> Identity b -> Identity c #

(*>) :: Identity a -> Identity b -> Identity b #

(<*) :: Identity a -> Identity b -> Identity a #

Applicative STM

Since: 4.8.0.0

Methods

pure :: a -> STM a #

(<*>) :: STM (a -> b) -> STM a -> STM b #

liftA2 :: (a -> b -> c) -> STM a -> STM b -> STM c #

(*>) :: STM a -> STM b -> STM b #

(<*) :: STM a -> STM b -> STM a #

Applicative Dual

Since: 4.8.0.0

Methods

pure :: a -> Dual a #

(<*>) :: Dual (a -> b) -> Dual a -> Dual b #

liftA2 :: (a -> b -> c) -> Dual a -> Dual b -> Dual c #

(*>) :: Dual a -> Dual b -> Dual b #

(<*) :: Dual a -> Dual b -> Dual a #

Applicative Sum

Since: 4.8.0.0

Methods

pure :: a -> Sum a #

(<*>) :: Sum (a -> b) -> Sum a -> Sum b #

liftA2 :: (a -> b -> c) -> Sum a -> Sum b -> Sum c #

(*>) :: Sum a -> Sum b -> Sum b #

(<*) :: Sum a -> Sum b -> Sum a #

Applicative Product

Since: 4.8.0.0

Methods

pure :: a -> Product a #

(<*>) :: Product (a -> b) -> Product a -> Product b #

liftA2 :: (a -> b -> c) -> Product a -> Product b -> Product c #

(*>) :: Product a -> Product b -> Product b #

(<*) :: Product a -> Product b -> Product a #

Applicative First 

Methods

pure :: a -> First a #

(<*>) :: First (a -> b) -> First a -> First b #

liftA2 :: (a -> b -> c) -> First a -> First b -> First c #

(*>) :: First a -> First b -> First b #

(<*) :: First a -> First b -> First a #

Applicative Last 

Methods

pure :: a -> Last a #

(<*>) :: Last (a -> b) -> Last a -> Last b #

liftA2 :: (a -> b -> c) -> Last a -> Last b -> Last c #

(*>) :: Last a -> Last b -> Last b #

(<*) :: Last a -> Last b -> Last a #

Applicative ReadPrec

Since: 4.6.0.0

Methods

pure :: a -> ReadPrec a #

(<*>) :: ReadPrec (a -> b) -> ReadPrec a -> ReadPrec b #

liftA2 :: (a -> b -> c) -> ReadPrec a -> ReadPrec b -> ReadPrec c #

(*>) :: ReadPrec a -> ReadPrec b -> ReadPrec b #

(<*) :: ReadPrec a -> ReadPrec b -> ReadPrec a #

Applicative ReadP

Since: 4.6.0.0

Methods

pure :: a -> ReadP a #

(<*>) :: ReadP (a -> b) -> ReadP a -> ReadP b #

liftA2 :: (a -> b -> c) -> ReadP a -> ReadP b -> ReadP c #

(*>) :: ReadP a -> ReadP b -> ReadP b #

(<*) :: ReadP a -> ReadP b -> ReadP a #

Applicative PutM 

Methods

pure :: a -> PutM a #

(<*>) :: PutM (a -> b) -> PutM a -> PutM b #

liftA2 :: (a -> b -> c) -> PutM a -> PutM b -> PutM c #

(*>) :: PutM a -> PutM b -> PutM b #

(<*) :: PutM a -> PutM b -> PutM a #

Applicative Get 

Methods

pure :: a -> Get a #

(<*>) :: Get (a -> b) -> Get a -> Get b #

liftA2 :: (a -> b -> c) -> Get a -> Get b -> Get c #

(*>) :: Get a -> Get b -> Get b #

(<*) :: Get a -> Get b -> Get a #

Applicative RGB 

Methods

pure :: a -> RGB a #

(<*>) :: RGB (a -> b) -> RGB a -> RGB b #

liftA2 :: (a -> b -> c) -> RGB a -> RGB b -> RGB c #

(*>) :: RGB a -> RGB b -> RGB b #

(<*) :: RGB a -> RGB b -> RGB a #

Applicative Tree 

Methods

pure :: a -> Tree a #

(<*>) :: Tree (a -> b) -> Tree a -> Tree b #

liftA2 :: (a -> b -> c) -> Tree a -> Tree b -> Tree c #

(*>) :: Tree a -> Tree b -> Tree b #

(<*) :: Tree a -> Tree b -> Tree a #

Applicative Seq 

Methods

pure :: a -> Seq a #

(<*>) :: Seq (a -> b) -> Seq a -> Seq b #

liftA2 :: (a -> b -> c) -> Seq a -> Seq b -> Seq c #

(*>) :: Seq a -> Seq b -> Seq b #

(<*) :: Seq a -> Seq b -> Seq a #

Applicative Interval 

Methods

pure :: a -> Interval a #

(<*>) :: Interval (a -> b) -> Interval a -> Interval b #

liftA2 :: (a -> b -> c) -> Interval a -> Interval b -> Interval c #

(*>) :: Interval a -> Interval b -> Interval b #

(<*) :: Interval a -> Interval b -> Interval a #

Applicative Vector 

Methods

pure :: a -> Vector a #

(<*>) :: Vector (a -> b) -> Vector a -> Vector b #

liftA2 :: (a -> b -> c) -> Vector a -> Vector b -> Vector c #

(*>) :: Vector a -> Vector b -> Vector b #

(<*) :: Vector a -> Vector b -> Vector a #

Applicative Plucker 

Methods

pure :: a -> Plucker a #

(<*>) :: Plucker (a -> b) -> Plucker a -> Plucker b #

liftA2 :: (a -> b -> c) -> Plucker a -> Plucker b -> Plucker c #

(*>) :: Plucker a -> Plucker b -> Plucker b #

(<*) :: Plucker a -> Plucker b -> Plucker a #

Applicative Quaternion 

Methods

pure :: a -> Quaternion a #

(<*>) :: Quaternion (a -> b) -> Quaternion a -> Quaternion b #

liftA2 :: (a -> b -> c) -> Quaternion a -> Quaternion b -> Quaternion c #

(*>) :: Quaternion a -> Quaternion b -> Quaternion b #

(<*) :: Quaternion a -> Quaternion b -> Quaternion a #

Applicative V0 

Methods

pure :: a -> V0 a #

(<*>) :: V0 (a -> b) -> V0 a -> V0 b #

liftA2 :: (a -> b -> c) -> V0 a -> V0 b -> V0 c #

(*>) :: V0 a -> V0 b -> V0 b #

(<*) :: V0 a -> V0 b -> V0 a #

Applicative V4 

Methods

pure :: a -> V4 a #

(<*>) :: V4 (a -> b) -> V4 a -> V4 b #

liftA2 :: (a -> b -> c) -> V4 a -> V4 b -> V4 c #

(*>) :: V4 a -> V4 b -> V4 b #

(<*) :: V4 a -> V4 b -> V4 a #

Applicative V3 

Methods

pure :: a -> V3 a #

(<*>) :: V3 (a -> b) -> V3 a -> V3 b #

liftA2 :: (a -> b -> c) -> V3 a -> V3 b -> V3 c #

(*>) :: V3 a -> V3 b -> V3 b #

(<*) :: V3 a -> V3 b -> V3 a #

Applicative V2 

Methods

pure :: a -> V2 a #

(<*>) :: V2 (a -> b) -> V2 a -> V2 b #

liftA2 :: (a -> b -> c) -> V2 a -> V2 b -> V2 c #

(*>) :: V2 a -> V2 b -> V2 b #

(<*) :: V2 a -> V2 b -> V2 a #

Applicative V1 

Methods

pure :: a -> V1 a #

(<*>) :: V1 (a -> b) -> V1 a -> V1 b #

liftA2 :: (a -> b -> c) -> V1 a -> V1 b -> V1 c #

(*>) :: V1 a -> V1 b -> V1 b #

(<*) :: V1 a -> V1 b -> V1 a #

Applicative ReadM 

Methods

pure :: a -> ReadM a #

(<*>) :: ReadM (a -> b) -> ReadM a -> ReadM b #

liftA2 :: (a -> b -> c) -> ReadM a -> ReadM b -> ReadM c #

(*>) :: ReadM a -> ReadM b -> ReadM b #

(<*) :: ReadM a -> ReadM b -> ReadM a #

Applicative Parser 

Methods

pure :: a -> Parser a #

(<*>) :: Parser (a -> b) -> Parser a -> Parser b #

liftA2 :: (a -> b -> c) -> Parser a -> Parser b -> Parser c #

(*>) :: Parser a -> Parser b -> Parser b #

(<*) :: Parser a -> Parser b -> Parser a #

Applicative ParserM 

Methods

pure :: a -> ParserM a #

(<*>) :: ParserM (a -> b) -> ParserM a -> ParserM b #

liftA2 :: (a -> b -> c) -> ParserM a -> ParserM b -> ParserM c #

(*>) :: ParserM a -> ParserM b -> ParserM b #

(<*) :: ParserM a -> ParserM b -> ParserM a #

Applicative ParserResult 
Applicative Array 

Methods

pure :: a -> Array a #

(<*>) :: Array (a -> b) -> Array a -> Array b #

liftA2 :: (a -> b -> c) -> Array a -> Array b -> Array c #

(*>) :: Array a -> Array b -> Array b #

(<*) :: Array a -> Array b -> Array a #

Applicative Id 

Methods

pure :: a -> Id a #

(<*>) :: Id (a -> b) -> Id a -> Id b #

liftA2 :: (a -> b -> c) -> Id a -> Id b -> Id c #

(*>) :: Id a -> Id b -> Id b #

(<*) :: Id a -> Id b -> Id a #

Applicative Box 

Methods

pure :: a -> Box a #

(<*>) :: Box (a -> b) -> Box a -> Box b #

liftA2 :: (a -> b -> c) -> Box a -> Box b -> Box c #

(*>) :: Box a -> Box b -> Box b #

(<*) :: Box a -> Box b -> Box a #

Applicative Stream 

Methods

pure :: a -> Stream a #

(<*>) :: Stream (a -> b) -> Stream a -> Stream b #

liftA2 :: (a -> b -> c) -> Stream a -> Stream b -> Stream c #

(*>) :: Stream a -> Stream b -> Stream b #

(<*) :: Stream a -> Stream b -> Stream a #

Applicative Angle # 

Methods

pure :: a -> Angle a #

(<*>) :: Angle (a -> b) -> Angle a -> Angle b #

liftA2 :: (a -> b -> c) -> Angle a -> Angle b -> Angle c #

(*>) :: Angle a -> Angle b -> Angle b #

(<*) :: Angle a -> Angle b -> Angle a #

Applicative (Either e)

Since: 3.0

Methods

pure :: a -> Either e a #

(<*>) :: Either e (a -> b) -> Either e a -> Either e b #

liftA2 :: (a -> b -> c) -> Either e a -> Either e b -> Either e c #

(*>) :: Either e a -> Either e b -> Either e b #

(<*) :: Either e a -> Either e b -> Either e a #

Applicative (U1 *)

Since: 4.9.0.0

Methods

pure :: a -> U1 * a #

(<*>) :: U1 * (a -> b) -> U1 * a -> U1 * b #

liftA2 :: (a -> b -> c) -> U1 * a -> U1 * b -> U1 * c #

(*>) :: U1 * a -> U1 * b -> U1 * b #

(<*) :: U1 * a -> U1 * b -> U1 * a #

Monoid a => Applicative ((,) a)

For tuples, the Monoid constraint on a determines how the first values merge. For example, Strings concatenate:

("hello ", (+15)) <*> ("world!", 2002)
("hello world!",2017)

Since: 2.1

Methods

pure :: a -> (a, a) #

(<*>) :: (a, a -> b) -> (a, a) -> (a, b) #

liftA2 :: (a -> b -> c) -> (a, a) -> (a, b) -> (a, c) #

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

(<*) :: (a, a) -> (a, b) -> (a, a) #

Representable f => Applicative (Co f) 

Methods

pure :: a -> Co f a #

(<*>) :: Co f (a -> b) -> Co f a -> Co f b #

liftA2 :: (a -> b -> c) -> Co f a -> Co f b -> Co f c #

(*>) :: Co f a -> Co f b -> Co f b #

(<*) :: Co f a -> Co f b -> Co f a #

Applicative (ST s)

Since: 4.4.0.0

Methods

pure :: a -> ST s a #

(<*>) :: ST s (a -> b) -> ST s a -> ST s b #

liftA2 :: (a -> b -> c) -> ST s a -> ST s b -> ST s c #

(*>) :: ST s a -> ST s b -> ST s b #

(<*) :: ST s a -> ST s b -> ST s a #

Monad m => Applicative (WrappedMonad m)

Since: 2.1

Methods

pure :: a -> WrappedMonad m a #

(<*>) :: WrappedMonad m (a -> b) -> WrappedMonad m a -> WrappedMonad m b #

liftA2 :: (a -> b -> c) -> WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m c #

(*>) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m b #

(<*) :: WrappedMonad m a -> WrappedMonad m b -> WrappedMonad m a #

Arrow a => Applicative (ArrowMonad a)

Since: 4.6.0.0

Methods

pure :: a -> ArrowMonad a a #

(<*>) :: ArrowMonad a (a -> b) -> ArrowMonad a a -> ArrowMonad a b #

liftA2 :: (a -> b -> c) -> ArrowMonad a a -> ArrowMonad a b -> ArrowMonad a c #

(*>) :: ArrowMonad a a -> ArrowMonad a b -> ArrowMonad a b #

(<*) :: ArrowMonad a a -> ArrowMonad a b -> ArrowMonad a a #

Applicative (Proxy *)

Since: 4.7.0.0

Methods

pure :: a -> Proxy * a #

(<*>) :: Proxy * (a -> b) -> Proxy * a -> Proxy * b #

liftA2 :: (a -> b -> c) -> Proxy * a -> Proxy * b -> Proxy * c #

(*>) :: Proxy * a -> Proxy * b -> Proxy * b #

(<*) :: Proxy * a -> Proxy * b -> Proxy * a #

Applicative (State s) 

Methods

pure :: a -> State s a #

(<*>) :: State s (a -> b) -> State s a -> State s b #

liftA2 :: (a -> b -> c) -> State s a -> State s b -> State s c #

(*>) :: State s a -> State s b -> State s b #

(<*) :: State s a -> State s b -> State s a #

Applicative (Measured n) 

Methods

pure :: a -> Measured n a #

(<*>) :: Measured n (a -> b) -> Measured n a -> Measured n b #

liftA2 :: (a -> b -> c) -> Measured n a -> Measured n b -> Measured n c #

(*>) :: Measured n a -> Measured n b -> Measured n b #

(<*) :: Measured n a -> Measured n b -> Measured n a #

Applicative f => Applicative (Point f) 

Methods

pure :: a -> Point f a #

(<*>) :: Point f (a -> b) -> Point f a -> Point f b #

liftA2 :: (a -> b -> c) -> Point f a -> Point f b -> Point f c #

(*>) :: Point f a -> Point f b -> Point f b #

(<*) :: Point f a -> Point f b -> Point f a #

Monad m => Applicative (CatchT m) 

Methods

pure :: a -> CatchT m a #

(<*>) :: CatchT m (a -> b) -> CatchT m a -> CatchT m b #

liftA2 :: (a -> b -> c) -> CatchT m a -> CatchT m b -> CatchT m c #

(*>) :: CatchT m a -> CatchT m b -> CatchT m b #

(<*) :: CatchT m a -> CatchT m b -> CatchT m a #

Monad m => Applicative (IterT m) 

Methods

pure :: a -> IterT m a #

(<*>) :: IterT m (a -> b) -> IterT m a -> IterT m b #

liftA2 :: (a -> b -> c) -> IterT m a -> IterT m b -> IterT m c #

(*>) :: IterT m a -> IterT m b -> IterT m b #

(<*) :: IterT m a -> IterT m b -> IterT m a #

Alternative f => Applicative (Cofree f) 

Methods

pure :: a -> Cofree f a #

(<*>) :: Cofree f (a -> b) -> Cofree f a -> Cofree f b #

liftA2 :: (a -> b -> c) -> Cofree f a -> Cofree f b -> Cofree f c #

(*>) :: Cofree f a -> Cofree f b -> Cofree f b #

(<*) :: Cofree f a -> Cofree f b -> Cofree f a #

Functor f => Applicative (AltF f) 

Methods

pure :: a -> AltF f a #

(<*>) :: AltF f (a -> b) -> AltF f a -> AltF f b #

liftA2 :: (a -> b -> c) -> AltF f a -> AltF f b -> AltF f c #

(*>) :: AltF f a -> AltF f b -> AltF f b #

(<*) :: AltF f a -> AltF f b -> AltF f a #

Functor f => Applicative (Alt f) 

Methods

pure :: a -> Alt f a #

(<*>) :: Alt f (a -> b) -> Alt f a -> Alt f b #

liftA2 :: (a -> b -> c) -> Alt f a -> Alt f b -> Alt f c #

(*>) :: Alt f a -> Alt f b -> Alt f b #

(<*) :: Alt f a -> Alt f b -> Alt f a #

Applicative f => Applicative (Yoneda f) 

Methods

pure :: a -> Yoneda f a #

(<*>) :: Yoneda f (a -> b) -> Yoneda f a -> Yoneda f b #

liftA2 :: (a -> b -> c) -> Yoneda f a -> Yoneda f b -> Yoneda f c #

(*>) :: Yoneda f a -> Yoneda f b -> Yoneda f b #

(<*) :: Yoneda f a -> Yoneda f b -> Yoneda f a #

Applicative (ReifiedGetter s) 

Methods

pure :: a -> ReifiedGetter s a #

(<*>) :: ReifiedGetter s (a -> b) -> ReifiedGetter s a -> ReifiedGetter s b #

liftA2 :: (a -> b -> c) -> ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s c #

(*>) :: ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s b #

(<*) :: ReifiedGetter s a -> ReifiedGetter s b -> ReifiedGetter s a #

Applicative (ReifiedFold s) 

Methods

pure :: a -> ReifiedFold s a #

(<*>) :: ReifiedFold s (a -> b) -> ReifiedFold s a -> ReifiedFold s b #

liftA2 :: (a -> b -> c) -> ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s c #

(*>) :: ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s b #

(<*) :: ReifiedFold s a -> ReifiedFold s b -> ReifiedFold s a #

Applicative f => Applicative (Indexing f) 

Methods

pure :: a -> Indexing f a #

(<*>) :: Indexing f (a -> b) -> Indexing f a -> Indexing f b #

liftA2 :: (a -> b -> c) -> Indexing f a -> Indexing f b -> Indexing f c #

(*>) :: Indexing f a -> Indexing f b -> Indexing f b #

(<*) :: Indexing f a -> Indexing f b -> Indexing f a #

Applicative f => Applicative (Indexing64 f) 

Methods

pure :: a -> Indexing64 f a #

(<*>) :: Indexing64 f (a -> b) -> Indexing64 f a -> Indexing64 f b #

liftA2 :: (a -> b -> c) -> Indexing64 f a -> Indexing64 f b -> Indexing64 f c #

(*>) :: Indexing64 f a -> Indexing64 f b -> Indexing64 f b #

(<*) :: Indexing64 f a -> Indexing64 f b -> Indexing64 f a #

Applicative m => Applicative (ListT m) 

Methods

pure :: a -> ListT m a #

(<*>) :: ListT m (a -> b) -> ListT m a -> ListT m b #

liftA2 :: (a -> b -> c) -> ListT m a -> ListT m b -> ListT m c #

(*>) :: ListT m a -> ListT m b -> ListT m b #

(<*) :: ListT m a -> ListT m b -> ListT m a #

(Applicative (Rep p), Representable p) => Applicative (Prep p) 

Methods

pure :: a -> Prep p a #

(<*>) :: Prep p (a -> b) -> Prep p a -> Prep p b #

liftA2 :: (a -> b -> c) -> Prep p a -> Prep p b -> Prep p c #

(*>) :: Prep p a -> Prep p b -> Prep p b #

(<*) :: Prep p a -> Prep p b -> Prep p a #

Applicative f => Applicative (WrappedApplicative f) 
Apply f => Applicative (MaybeApply f) 

Methods

pure :: a -> MaybeApply f a #

(<*>) :: MaybeApply f (a -> b) -> MaybeApply f a -> MaybeApply f b #

liftA2 :: (a -> b -> c) -> MaybeApply f a -> MaybeApply f b -> MaybeApply f c #

(*>) :: MaybeApply f a -> MaybeApply f b -> MaybeApply f b #

(<*) :: MaybeApply f a -> MaybeApply f b -> MaybeApply f a #

(Functor m, Monad m) => Applicative (MaybeT m) 

Methods

pure :: a -> MaybeT m a #

(<*>) :: MaybeT m (a -> b) -> MaybeT m a -> MaybeT m b #

liftA2 :: (a -> b -> c) -> MaybeT m a -> MaybeT m b -> MaybeT m c #

(*>) :: MaybeT m a -> MaybeT m b -> MaybeT m b #

(<*) :: MaybeT m a -> MaybeT m b -> MaybeT m a #

Applicative f => Applicative (Rec1 * f)

Since: 4.9.0.0

Methods

pure :: a -> Rec1 * f a #

(<*>) :: Rec1 * f (a -> b) -> Rec1 * f a -> Rec1 * f b #

liftA2 :: (a -> b -> c) -> Rec1 * f a -> Rec1 * f b -> Rec1 * f c #

(*>) :: Rec1 * f a -> Rec1 * f b -> Rec1 * f b #

(<*) :: Rec1 * f a -> Rec1 * f b -> Rec1 * f a #

Arrow a => Applicative (WrappedArrow a b)

Since: 2.1

Methods

pure :: a -> WrappedArrow a b a #

(<*>) :: WrappedArrow a b (a -> b) -> WrappedArrow a b a -> WrappedArrow a b b #

liftA2 :: (a -> b -> c) -> WrappedArrow a b a -> WrappedArrow a b b -> WrappedArrow a b c #

(*>) :: WrappedArrow a b a -> WrappedArrow a b b -> WrappedArrow a b b #

(<*) :: WrappedArrow a b a -> WrappedArrow a b b -> WrappedArrow a b a #

Monoid m => Applicative (Const * m)

Since: 2.0.1

Methods

pure :: a -> Const * m a #

(<*>) :: Const * m (a -> b) -> Const * m a -> Const * m b #

liftA2 :: (a -> b -> c) -> Const * m a -> Const * m b -> Const * m c #

(*>) :: Const * m a -> Const * m b -> Const * m b #

(<*) :: Const * m a -> Const * m b -> Const * m a #

Applicative f => Applicative (Alt * f) 

Methods

pure :: a -> Alt * f a #

(<*>) :: Alt * f (a -> b) -> Alt * f a -> Alt * f b #

liftA2 :: (a -> b -> c) -> Alt * f a -> Alt * f b -> Alt * f c #

(*>) :: Alt * f a -> Alt * f b -> Alt * f b #

(<*) :: Alt * f a -> Alt * f b -> Alt * f a #

Biapplicative p => Applicative (Join * p) 

Methods

pure :: a -> Join * p a #

(<*>) :: Join * p (a -> b) -> Join * p a -> Join * p b #

liftA2 :: (a -> b -> c) -> Join * p a -> Join * p b -> Join * p c #

(*>) :: Join * p a -> Join * p b -> Join * p b #

(<*) :: Join * p a -> Join * p b -> Join * p a #

Biapplicative p => Applicative (Fix * p) 

Methods

pure :: a -> Fix * p a #

(<*>) :: Fix * p (a -> b) -> Fix * p a -> Fix * p b #

liftA2 :: (a -> b -> c) -> Fix * p a -> Fix * p b -> Fix * p c #

(*>) :: Fix * p a -> Fix * p b -> Fix * p b #

(<*) :: Fix * p a -> Fix * p b -> Fix * p a #

Applicative w => Applicative (TracedT m w) 

Methods

pure :: a -> TracedT m w a #

(<*>) :: TracedT m w (a -> b) -> TracedT m w a -> TracedT m w b #

liftA2 :: (a -> b -> c) -> TracedT m w a -> TracedT m w b -> TracedT m w c #

(*>) :: TracedT m w a -> TracedT m w b -> TracedT m w b #

(<*) :: TracedT m w a -> TracedT m w b -> TracedT m w a #

Applicative m => Applicative (IdentityT * m) 

Methods

pure :: a -> IdentityT * m a #

(<*>) :: IdentityT * m (a -> b) -> IdentityT * m a -> IdentityT * m b #

liftA2 :: (a -> b -> c) -> IdentityT * m a -> IdentityT * m b -> IdentityT * m c #

(*>) :: IdentityT * m a -> IdentityT * m b -> IdentityT * m b #

(<*) :: IdentityT * m a -> IdentityT * m b -> IdentityT * m a #

(Applicative f, Monad f) => Applicative (WhenMissing f x)

Equivalent to ReaderT k (ReaderT x (MaybeT f)).

Methods

pure :: a -> WhenMissing f x a #

(<*>) :: WhenMissing f x (a -> b) -> WhenMissing f x a -> WhenMissing f x b #

liftA2 :: (a -> b -> c) -> WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x c #

(*>) :: WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x b #

(<*) :: WhenMissing f x a -> WhenMissing f x b -> WhenMissing f x a #

Applicative (Query v n) 

Methods

pure :: a -> Query v n a #

(<*>) :: Query v n (a -> b) -> Query v n a -> Query v n b #

liftA2 :: (a -> b -> c) -> Query v n a -> Query v n b -> Query v n c #

(*>) :: Query v n a -> Query v n b -> Query v n b #

(<*) :: Query v n a -> Query v n b -> Query v n a #

(Functor f, Monad m) => Applicative (FreeT f m) 

Methods

pure :: a -> FreeT f m a #

(<*>) :: FreeT f m (a -> b) -> FreeT f m a -> FreeT f m b #

liftA2 :: (a -> b -> c) -> FreeT f m a -> FreeT f m b -> FreeT f m c #

(*>) :: FreeT f m a -> FreeT f m b -> FreeT f m b #

(<*) :: FreeT f m a -> FreeT f m b -> FreeT f m a #

(Alternative f, Applicative w) => Applicative (CofreeT f w) 

Methods

pure :: a -> CofreeT f w a #

(<*>) :: CofreeT f w (a -> b) -> CofreeT f w a -> CofreeT f w b #

liftA2 :: (a -> b -> c) -> CofreeT f w a -> CofreeT f w b -> CofreeT f w c #

(*>) :: CofreeT f w a -> CofreeT f w b -> CofreeT f w b #

(<*) :: CofreeT f w a -> CofreeT f w b -> CofreeT f w a #

Applicative g => Applicative (ApF f g) 

Methods

pure :: a -> ApF f g a #

(<*>) :: ApF f g (a -> b) -> ApF f g a -> ApF f g b #

liftA2 :: (a -> b -> c) -> ApF f g a -> ApF f g b -> ApF f g c #

(*>) :: ApF f g a -> ApF f g b -> ApF f g b #

(<*) :: ApF f g a -> ApF f g b -> ApF f g a #

Applicative g => Applicative (ApT f g) 

Methods

pure :: a -> ApT f g a #

(<*>) :: ApT f g (a -> b) -> ApT f g a -> ApT f g b #

liftA2 :: (a -> b -> c) -> ApT f g a -> ApT f g b -> ApT f g c #

(*>) :: ApT f g a -> ApT f g b -> ApT f g b #

(<*) :: ApT f g a -> ApT f g b -> ApT f g a #

(Applicative f, Applicative g) => Applicative (Day f g) 

Methods

pure :: a -> Day f g a #

(<*>) :: Day f g (a -> b) -> Day f g a -> Day f g b #

liftA2 :: (a -> b -> c) -> Day f g a -> Day f g b -> Day f g c #

(*>) :: Day f g a -> Day f g b -> Day f g b #

(<*) :: Day f g a -> Day f g b -> Day f g a #

(Functor m, Monad m) => Applicative (ErrorT e m) 

Methods

pure :: a -> ErrorT e m a #

(<*>) :: ErrorT e m (a -> b) -> ErrorT e m a -> ErrorT e m b #

liftA2 :: (a -> b -> c) -> ErrorT e m a -> ErrorT e m b -> ErrorT e m c #

(*>) :: ErrorT e m a -> ErrorT e m b -> ErrorT e m b #

(<*) :: ErrorT e m a -> ErrorT e m b -> ErrorT e m a #

Applicative f => Applicative (Backwards * f)

Apply f-actions in the reverse order.

Methods

pure :: a -> Backwards * f a #

(<*>) :: Backwards * f (a -> b) -> Backwards * f a -> Backwards * f b #

liftA2 :: (a -> b -> c) -> Backwards * f a -> Backwards * f b -> Backwards * f c #

(*>) :: Backwards * f a -> Backwards * f b -> Backwards * f b #

(<*) :: Backwards * f a -> Backwards * f b -> Backwards * f a #

Applicative (Indexed i a) 

Methods

pure :: a -> Indexed i a a #

(<*>) :: Indexed i a (a -> b) -> Indexed i a a -> Indexed i a b #

liftA2 :: (a -> b -> c) -> Indexed i a a -> Indexed i a b -> Indexed i a c #

(*>) :: Indexed i a a -> Indexed i a b -> Indexed i a b #

(<*) :: Indexed i a a -> Indexed i a b -> Indexed i a a #

Dim k n => Applicative (V k n) 

Methods

pure :: a -> V k n a #

(<*>) :: V k n (a -> b) -> V k n a -> V k n b #

liftA2 :: (a -> b -> c) -> V k n a -> V k n b -> V k n c #

(*>) :: V k n a -> V k n b -> V k n b #

(<*) :: V k n a -> V k n b -> V k n a #

(Functor m, Monad m) => Applicative (ExceptT e m) 

Methods

pure :: a -> ExceptT e m a #

(<*>) :: ExceptT e m (a -> b) -> ExceptT e m a -> ExceptT e m b #

liftA2 :: (a -> b -> c) -> ExceptT e m a -> ExceptT e m b -> ExceptT e m c #

(*>) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m b #

(<*) :: ExceptT e m a -> ExceptT e m b -> ExceptT e m a #

(Functor m, Monad m) => Applicative (StateT s m) 

Methods

pure :: a -> StateT s m a #

(<*>) :: StateT s m (a -> b) -> StateT s m a -> StateT s m b #

liftA2 :: (a -> b -> c) -> StateT s m a -> StateT s m b -> StateT s m c #

(*>) :: StateT s m a -> StateT s m b -> StateT s m b #

(<*) :: StateT s m a -> StateT s m b -> StateT s m a #

(Functor m, Monad m) => Applicative (StateT s m) 

Methods

pure :: a -> StateT s m a #

(<*>) :: StateT s m (a -> b) -> StateT s m a -> StateT s m b #

liftA2 :: (a -> b -> c) -> StateT s m a -> StateT s m b -> StateT s m c #

(*>) :: StateT s m a -> StateT s m b -> StateT s m b #

(<*) :: StateT s m a -> StateT s m b -> StateT s m a #

(Monoid w, Applicative m) => Applicative (WriterT w m) 

Methods

pure :: a -> WriterT w m a #

(<*>) :: WriterT w m (a -> b) -> WriterT w m a -> WriterT w m b #

liftA2 :: (a -> b -> c) -> WriterT w m a -> WriterT w m b -> WriterT w m c #

(*>) :: WriterT w m a -> WriterT w m b -> WriterT w m b #

(<*) :: WriterT w m a -> WriterT w m b -> WriterT w m a #

(Monoid w, Applicative m) => Applicative (WriterT w m) 

Methods

pure :: a -> WriterT w m a #

(<*>) :: WriterT w m (a -> b) -> WriterT w m a -> WriterT w m b #

liftA2 :: (a -> b -> c) -> WriterT w m a -> WriterT w m b -> WriterT w m c #

(*>) :: WriterT w m a -> WriterT w m b -> WriterT w m b #

(<*) :: WriterT w m a -> WriterT w m b -> WriterT w m a #

Applicative f => Applicative (Star f a) 

Methods

pure :: a -> Star f a a #

(<*>) :: Star f a (a -> b) -> Star f a a -> Star f a b #

liftA2 :: (a -> b -> c) -> Star f a a -> Star f a b -> Star f a c #

(*>) :: Star f a a -> Star f a b -> Star f a b #

(<*) :: Star f a a -> Star f a b -> Star f a a #

Applicative (Costar f a) 

Methods

pure :: a -> Costar f a a #

(<*>) :: Costar f a (a -> b) -> Costar f a a -> Costar f a b #

liftA2 :: (a -> b -> c) -> Costar f a a -> Costar f a b -> Costar f a c #

(*>) :: Costar f a a -> Costar f a b -> Costar f a b #

(<*) :: Costar f a a -> Costar f a b -> Costar f a a #

Applicative f => Applicative (Static f a) 

Methods

pure :: a -> Static f a a #

(<*>) :: Static f a (a -> b) -> Static f a a -> Static f a b #

liftA2 :: (a -> b -> c) -> Static f a a -> Static f a b -> Static f a c #

(*>) :: Static f a a -> Static f a b -> Static f a b #

(<*) :: Static f a a -> Static f a b -> Static f a a #

Applicative (Tagged k s) 

Methods

pure :: a -> Tagged k s a #

(<*>) :: Tagged k s (a -> b) -> Tagged k s a -> Tagged k s b #

liftA2 :: (a -> b -> c) -> Tagged k s a -> Tagged k s b -> Tagged k s c #

(*>) :: Tagged k s a -> Tagged k s b -> Tagged k s b #

(<*) :: Tagged k s a -> Tagged k s b -> Tagged k s a #

Applicative f => Applicative (Reverse * f)

Derived instance.

Methods

pure :: a -> Reverse * f a #

(<*>) :: Reverse * f (a -> b) -> Reverse * f a -> Reverse * f b #

liftA2 :: (a -> b -> c) -> Reverse * f a -> Reverse * f b -> Reverse * f c #

(*>) :: Reverse * f a -> Reverse * f b -> Reverse * f b #

(<*) :: Reverse * f a -> Reverse * f b -> Reverse * f a #

Monoid a => Applicative (Constant * a) 

Methods

pure :: a -> Constant * a a #

(<*>) :: Constant * a (a -> b) -> Constant * a a -> Constant * a b #

liftA2 :: (a -> b -> c) -> Constant * a a -> Constant * a b -> Constant * a c #

(*>) :: Constant * a a -> Constant * a b -> Constant * a b #

(<*) :: Constant * a a -> Constant * a b -> Constant * a a #

Applicative ((->) LiftedRep LiftedRep a)

Since: 2.1

Methods

pure :: a -> (LiftedRep -> LiftedRep) a a #

(<*>) :: (LiftedRep -> LiftedRep) a (a -> b) -> (LiftedRep -> LiftedRep) a a -> (LiftedRep -> LiftedRep) a b #

liftA2 :: (a -> b -> c) -> (LiftedRep -> LiftedRep) a a -> (LiftedRep -> LiftedRep) a b -> (LiftedRep -> LiftedRep) a c #

(*>) :: (LiftedRep -> LiftedRep) a a -> (LiftedRep -> LiftedRep) a b -> (LiftedRep -> LiftedRep) a b #

(<*) :: (LiftedRep -> LiftedRep) a a -> (LiftedRep -> LiftedRep) a b -> (LiftedRep -> LiftedRep) a a #

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

Since: 4.9.0.0

Methods

pure :: a -> (* :*: f) g a #

(<*>) :: (* :*: f) g (a -> b) -> (* :*: f) g a -> (* :*: f) g b #

liftA2 :: (a -> b -> c) -> (* :*: f) g a -> (* :*: f) g b -> (* :*: f) g c #

(*>) :: (* :*: f) g a -> (* :*: f) g b -> (* :*: f) g b #

(<*) :: (* :*: f) g a -> (* :*: f) g b -> (* :*: f) g a #

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

Since: 4.9.0.0

Methods

pure :: a -> Product * f g a #

(<*>) :: Product * f g (a -> b) -> Product * f g a -> Product * f g b #

liftA2 :: (a -> b -> c) -> Product * f g a -> Product * f g b -> Product * f g c #

(*>) :: Product * f g a -> Product * f g b -> Product * f g b #

(<*) :: Product * f g a -> Product * f g b -> Product * f g a #

(Monad f, Applicative f) => Applicative (WhenMatched f x y)

Equivalent to ReaderT Key (ReaderT x (ReaderT y (MaybeT f)))

Methods

pure :: a -> WhenMatched f x y a #

(<*>) :: WhenMatched f x y (a -> b) -> WhenMatched f x y a -> WhenMatched f x y b #

liftA2 :: (a -> b -> c) -> WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y c #

(*>) :: WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y b #

(<*) :: WhenMatched f x y a -> WhenMatched f x y b -> WhenMatched f x y a #

(Applicative f, Monad f) => Applicative (WhenMissing f k x)

Equivalent to ReaderT k (ReaderT x (MaybeT f)) .

Methods

pure :: a -> WhenMissing f k x a #

(<*>) :: WhenMissing f k x (a -> b) -> WhenMissing f k x a -> WhenMissing f k x b #

liftA2 :: (a -> b -> c) -> WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x c #

(*>) :: WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x b #

(<*) :: WhenMissing f k x a -> WhenMissing f k x b -> WhenMissing f k x a #

Applicative (ContT k r m) 

Methods

pure :: a -> ContT k r m a #

(<*>) :: ContT k r m (a -> b) -> ContT k r m a -> ContT k r m b #

liftA2 :: (a -> b -> c) -> ContT k r m a -> ContT k r m b -> ContT k r m c #

(*>) :: ContT k r m a -> ContT k r m b -> ContT k r m b #

(<*) :: ContT k r m a -> ContT k r m b -> ContT k r m a #

Applicative m => Applicative (ReaderT * r m) 

Methods

pure :: a -> ReaderT * r m a #

(<*>) :: ReaderT * r m (a -> b) -> ReaderT * r m a -> ReaderT * r m b #

liftA2 :: (a -> b -> c) -> ReaderT * r m a -> ReaderT * r m b -> ReaderT * r m c #

(*>) :: ReaderT * r m a -> ReaderT * r m b -> ReaderT * r m b #

(<*) :: ReaderT * r m a -> ReaderT * r m b -> ReaderT * r m a #

Applicative f => Applicative (M1 * i c f)

Since: 4.9.0.0

Methods

pure :: a -> M1 * i c f a #

(<*>) :: M1 * i c f (a -> b) -> M1 * i c f a -> M1 * i c f b #

liftA2 :: (a -> b -> c) -> M1 * i c f a -> M1 * i c f b -> M1 * i c f c #

(*>) :: M1 * i c f a -> M1 * i c f b -> M1 * i c f b #

(<*) :: M1 * i c f a -> M1 * i c f b -> M1 * i c f a #

(Applicative f, Applicative g) => Applicative ((:.:) * * f g)

Since: 4.9.0.0

Methods

pure :: a -> (* :.: *) f g a #

(<*>) :: (* :.: *) f g (a -> b) -> (* :.: *) f g a -> (* :.: *) f g b #

liftA2 :: (a -> b -> c) -> (* :.: *) f g a -> (* :.: *) f g b -> (* :.: *) f g c #

(*>) :: (* :.: *) f g a -> (* :.: *) f g b -> (* :.: *) f g b #

(<*) :: (* :.: *) f g a -> (* :.: *) f g b -> (* :.: *) f g a #

(Applicative f, Applicative g) => Applicative (Compose * * f g)

Since: 4.9.0.0

Methods

pure :: a -> Compose * * f g a #

(<*>) :: Compose * * f g (a -> b) -> Compose * * f g a -> Compose * * f g b #

liftA2 :: (a -> b -> c) -> Compose * * f g a -> Compose * * f g b -> Compose * * f g c #

(*>) :: Compose * * f g a -> Compose * * f g b -> Compose * * f g b #

(<*) :: Compose * * f g a -> Compose * * f g b -> Compose * * f g a #

(Monad f, Applicative f) => Applicative (WhenMatched f k x y)

Equivalent to ReaderT k (ReaderT x (ReaderT y (MaybeT f)))

Methods

pure :: a -> WhenMatched f k x y a #

(<*>) :: WhenMatched f k x y (a -> b) -> WhenMatched f k x y a -> WhenMatched f k x y b #

liftA2 :: (a -> b -> c) -> WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y c #

(*>) :: WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y b #

(<*) :: WhenMatched f k x y a -> WhenMatched f k x y b -> WhenMatched f k x y a #

(Monoid w, Functor m, Monad m) => Applicative (RWST r w s m) 

Methods

pure :: a -> RWST r w s m a #

(<*>) :: RWST r w s m (a -> b) -> RWST r w s m a -> RWST r w s m b #

liftA2 :: (a -> b -> c) -> RWST r w s m a -> RWST r w s m b -> RWST r w s m c #

(*>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b #

(<*) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m a #

(Monoid w, Functor m, Monad m) => Applicative (RWST r w s m) 

Methods

pure :: a -> RWST r w s m a #

(<*>) :: RWST r w s m (a -> b) -> RWST r w s m a -> RWST r w s m b #

liftA2 :: (a -> b -> c) -> RWST r w s m a -> RWST r w s m b -> RWST r w s m c #

(*>) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m b #

(<*) :: RWST r w s m a -> RWST r w s m b -> RWST r w s m a #

Reifies k s (ReifiedApplicative f) => Applicative (ReflectedApplicative k * f s) 

Methods

pure :: a -> ReflectedApplicative k * f s a #

(<*>) :: ReflectedApplicative k * f s (a -> b) -> ReflectedApplicative k * f s a -> ReflectedApplicative k * f s b #

liftA2 :: (a -> b -> c) -> ReflectedApplicative k * f s a -> ReflectedApplicative k * f s b -> ReflectedApplicative k * f s c #

(*>) :: ReflectedApplicative k * f s a -> ReflectedApplicative k * f s b -> ReflectedApplicative k * f s b #

(<*) :: ReflectedApplicative k * f s a -> ReflectedApplicative k * f s b -> ReflectedApplicative k * f s a #

(*>) :: Applicative f => forall a b. f a -> f b -> f b infixl 4 #

Sequence actions, discarding the value of the first argument.

(<*) :: Applicative f => forall a b. f a -> f b -> f a infixl 4 #

Sequence actions, discarding the value of the second argument.

(<$>) :: Functor f => (a -> b) -> f a -> f b infixl 4 #

An infix synonym for fmap.

The name of this operator is an allusion to $. Note the similarities between their types:

 ($)  ::              (a -> b) ->   a ->   b
(<$>) :: Functor f => (a -> b) -> f a -> f b

Whereas $ is function application, <$> is function application lifted over a Functor.

Examples

Convert from a Maybe Int to a Maybe String using show:

>>> show <$> Nothing
Nothing
>>> show <$> Just 3
Just "3"

Convert from an Either Int Int to an Either Int String using show:

>>> show <$> Left 17
Left 17
>>> show <$> Right 17
Right "17"

Double each element of a list:

>>> (*2) <$> [1,2,3]
[2,4,6]

Apply even to the second element of a pair:

>>> even <$> (2,2)
(2,True)

(<$) :: Functor f => forall a b. a -> f b -> f a infixl 4 #

Replace all locations in the input with the same value. The default definition is fmap . const, but this may be overridden with a more efficient version.

liftA :: Applicative f => (a -> b) -> f a -> f b #

Lift a function to actions. This function may be used as a value for fmap in a Functor instance.

liftA2 :: Applicative f => forall a b c. (a -> b -> c) -> f a -> f b -> f c #

Lift a binary function to actions.

Some functors support an implementation of liftA2 that is more efficient than the default one. In particular, if fmap is an expensive operation, it is likely better to use liftA2 than to fmap over the structure and then use <*>.

liftA3 :: Applicative f => (a -> b -> c -> d) -> f a -> f b -> f c -> f d #

Lift a ternary function to actions.