Copyright	(C) 2012-2016 University of Twente
License	BSD2 (see the file LICENSE)
Maintainer	Christiaan Baaij <christiaan.baaij@gmail.com>
Safe Haskell	None
Language	Haskell2010

Clash.Util

Description

Assortment of utility function used in the Clash library

Synopsis

class MonadUnique m where
curLoc :: Q Exp
makeCached :: (MonadState s m, Hashable k, Eq k) => k -> Lens' s (HashMap k v) -> m v -> m v
makeCachedT3 :: (MonadTrans t2, MonadTrans t1, MonadTrans t, Eq k, Hashable k, MonadState s m, Monad (t2 m), Monad (t1 (t2 m)), Monad (t (t1 (t2 m)))) => k -> Lens' s (HashMap k v) -> t (t1 (t2 m)) v -> t (t1 (t2 m)) v
makeCachedT3S :: (MonadTrans t2, MonadTrans t1, MonadTrans t, Eq k, Hashable k, MonadState s m, Monad (t2 m), Monad (t1 (t2 m)), Monad (t (t1 (t2 m))), NFData v) => k -> Lens' s (HashMap k v) -> t (t1 (t2 m)) v -> t (t1 (t2 m)) v
liftState :: MonadState s m => Lens' s s' -> State s' a -> m a
firstM :: Functor f => (a -> f c) -> (a, b) -> f (c, b)
secondM :: Functor f => (b -> f c) -> (a, b) -> f (a, c)
combineM :: Applicative f => (a -> f b) -> (c -> f d) -> (a, c) -> f (b, d)
traceIf :: Bool -> String -> a -> a
partitionM :: Monad m => (a -> m Bool) -> [a] -> m ([a], [a])
mapAccumLM :: Monad m => (acc -> x -> m (acc, y)) -> acc -> [x] -> m (acc, [y])
dot :: (c -> d) -> (a -> b -> c) -> a -> b -> d
ifThenElse :: (a -> Bool) -> (a -> b) -> (a -> b) -> a -> b
(<:>) :: Applicative f => f a -> f [a] -> f [a]
indexMaybe :: [a] -> Int -> Maybe a
indexNote :: String -> [a] -> Int -> a
splitAtList :: [b] -> [a] -> ([a], [a])
clashLibVersion :: Version
flogBase :: Integer -> Integer -> Maybe Int
clogBase :: Integer -> Integer -> Maybe Int
class Functor f => Applicative (f :: * -> *) where
(<$>) :: Functor f => (a -> b) -> f a -> f b
(<=<) :: Monad m => (b -> m c) -> (a -> m b) -> a -> m c
(>=>) :: Monad m => (a -> m b) -> (b -> m c) -> a -> m c
first :: Arrow a => a b c -> a (b, d) (c, d)
second :: Arrow a => a b c -> a (d, b) (d, c)
(***) :: Arrow a => a b c -> a b' c' -> a (b, b') (c, c')
on :: (b -> b -> c) -> (a -> b) -> a -> a -> c
makeLenses :: Name -> DecsQ

Documentation

class MonadUnique m where Source #

A class that can generate unique numbers

Minimal complete definition

getUniqueM

Methods

getUniqueM :: m Int Source #

Get a new unique

Instances

MonadUnique (RewriteMonad extra) Source #
Instance details Methods getUniqueM :: RewriteMonad extra Int Source #
Monad m => MonadUnique (StateT Int m) Source #
Instance details Methods getUniqueM :: StateT Int m Int Source #

curLoc :: Q Exp Source #

Create a TH expression that returns the a formatted string containing the name of the module curLoc is spliced into, and the line where it was spliced.

makeCached Source #

Arguments

:: (MonadState s m, Hashable k, Eq k)
=> k	The key the action is associated with
-> Lens' s (HashMap k v)	The Lens to the HashMap that is the cache
-> m v	The action to cache
-> m v

Cache the result of a monadic action

makeCachedT3 Source #

Arguments

:: (MonadTrans t2, MonadTrans t1, MonadTrans t, Eq k, Hashable k, MonadState s m, Monad (t2 m), Monad (t1 (t2 m)), Monad (t (t1 (t2 m))))
=> k	The key the action is associated with
-> Lens' s (HashMap k v)	The Lens to the HashMap that is the cache
-> t (t1 (t2 m)) v	The action to cache
-> t (t1 (t2 m)) v

Cache the result of a monadic action in a State 3 transformer layers down

makeCachedT3S :: (MonadTrans t2, MonadTrans t1, MonadTrans t, Eq k, Hashable k, MonadState s m, Monad (t2 m), Monad (t1 (t2 m)), Monad (t (t1 (t2 m))), NFData v) => k -> Lens' s (HashMap k v) -> t (t1 (t2 m)) v -> t (t1 (t2 m)) v Source #

Spine-strict cache variant of mkCachedT3

liftState Source #

Arguments

:: MonadState s m
=> Lens' s s'	Lens to the State in the higher-layer monad
-> State s' a	The State-action to perform
-> m a

Run a State-action using the State that is stored in a higher-layer Monad

firstM :: Functor f => (a -> f c) -> (a, b) -> f (c, b) Source #

Functorial version of first

secondM :: Functor f => (b -> f c) -> (a, b) -> f (a, c) Source #

Functorial version of second

combineM :: Applicative f => (a -> f b) -> (c -> f d) -> (a, c) -> f (b, d) Source #

traceIf :: Bool -> String -> a -> a Source #

Performs trace when first argument evaluates to True

partitionM :: Monad m => (a -> m Bool) -> [a] -> m ([a], [a]) Source #

Monadic version of partition

mapAccumLM :: Monad m => (acc -> x -> m (acc, y)) -> acc -> [x] -> m (acc, [y]) Source #

Monadic version of mapAccumL

dot :: (c -> d) -> (a -> b -> c) -> a -> b -> d Source #

Composition of a unary function with a binary function

ifThenElse :: (a -> Bool) -> (a -> b) -> (a -> b) -> a -> b Source #

if-then-else as a function on an argument

(<:>) :: Applicative f => f a -> f [a] -> f [a] infixr 5 Source #

Applicative version of 'GHC.Types.(:)'

indexMaybe :: [a] -> Int -> Maybe a Source #

Safe indexing, returns a Nothing if the index does not exist

indexNote :: String -> [a] -> Int -> a Source #

Unsafe indexing, return a custom error message when indexing fails

splitAtList :: [b] -> [a] -> ([a], [a]) Source #

Split the second list at the length of the first list

clashLibVersion :: Version Source #

flogBase :: Integer -> Integer -> Maybe Int Source #

x y -> floor (logBase x y), x > 1 && y > 0

clogBase :: Integer -> Integer -> Maybe Int Source #

x y -> ceiling (logBase x y), x > 1 && y > 0

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:

```
u *> v = (id <$ u) <*> v
```
```
u <* v = liftA2 const u v
```

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

```
fmap f x = pure f <*> x
```

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

```
pure = return
```
```
(<*>) = ap
```
```
(*>) = (>>)
```

(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.

Instances

Applicative []	Since: 2.1
Instance details 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
Instance details 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
Instance details 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
Instance details 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
Instance details 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 IResult
Instance details Methods pure :: a -> IResult a # (<>) :: IResult (a -> b) -> IResult a -> IResult b # liftA2 :: (a -> b -> c) -> IResult a -> IResult b -> IResult c # (>) :: IResult a -> IResult b -> IResult b # (<*) :: IResult a -> IResult b -> IResult a #
Applicative Result
Instance details Methods pure :: a -> Result a # (<>) :: Result (a -> b) -> Result a -> Result b # liftA2 :: (a -> b -> c) -> Result a -> Result b -> Result c # (>) :: Result a -> Result b -> Result b # (<*) :: Result a -> Result b -> Result a #
Applicative Parser
Instance details 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 Complex	Since: 4.9.0.0
Instance details 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
Instance details 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
Instance details 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
Instance details 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
Instance details 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
Instance details 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 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
Instance details 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
Instance details 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
Instance details 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 First
Instance details 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
Instance details 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 Dual	Since: 4.8.0.0
Instance details 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
Instance details 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
Instance details 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 Down	Since: 4.11.0.0
Instance details Methods pure :: a -> Down a # (<>) :: Down (a -> b) -> Down a -> Down b # liftA2 :: (a -> b -> c) -> Down a -> Down b -> Down c # (>) :: Down a -> Down b -> Down b # (<*) :: Down a -> Down b -> Down a #
Applicative ReadPrec	Since: 4.6.0.0
Instance details 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
Instance details 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 NonEmpty	Since: 4.9.0.0
Instance details 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 Put
Instance details Methods pure :: a -> Put a # (<>) :: Put (a -> b) -> Put a -> Put b # liftA2 :: (a -> b -> c) -> Put a -> Put b -> Put c # (>) :: Put a -> Put b -> Put b # (<*) :: Put a -> Put b -> Put a #
Applicative Tree
Instance details 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	Since: 0.5.4
Instance details 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 DList
Instance details Methods pure :: a -> DList a # (<>) :: DList (a -> b) -> DList a -> DList b # liftA2 :: (a -> b -> c) -> DList a -> DList b -> DList c # (>) :: DList a -> DList b -> DList b # (<*) :: DList a -> DList b -> DList a #
Applicative Vector
Instance details 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 SmallArray
Instance details Methods pure :: a -> SmallArray a # (<>) :: SmallArray (a -> b) -> SmallArray a -> SmallArray b # liftA2 :: (a -> b -> c) -> SmallArray a -> SmallArray b -> SmallArray c # (>) :: SmallArray a -> SmallArray b -> SmallArray b # (<*) :: SmallArray a -> SmallArray b -> SmallArray a #
Applicative Array
Instance details 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 Parser
Instance details 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 Result
Instance details Methods pure :: a -> Result a # (<>) :: Result (a -> b) -> Result a -> Result b # liftA2 :: (a -> b -> c) -> Result a -> Result b -> Result c # (>) :: Result a -> Result b -> Result b # (<*) :: Result a -> Result b -> Result a #
Applicative Id
Instance details 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
Instance details 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 P	Since: 4.5.0.0
Instance details 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 NetlistMonad #
Instance details Methods pure :: a -> NetlistMonad a # (<>) :: NetlistMonad (a -> b) -> NetlistMonad a -> NetlistMonad b # liftA2 :: (a -> b -> c) -> NetlistMonad a -> NetlistMonad b -> NetlistMonad c # (>) :: NetlistMonad a -> NetlistMonad b -> NetlistMonad b # (<*) :: NetlistMonad a -> NetlistMonad b -> NetlistMonad a #
Applicative (Either e)	Since: 3.0
Instance details 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
Instance details 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, `String`s concatenate: ("hello ", (+15)) <> ("world!", 2002) ("hello world!",2017) Since: 2.1*
Instance details Methods pure :: a0 -> (a, a0) # (<>) :: (a, a0 -> b) -> (a, a0) -> (a, b) # liftA2 :: (a0 -> b -> c) -> (a, a0) -> (a, b) -> (a, c) # (>) :: (a, a0) -> (a, b) -> (a, b) # (<*) :: (a, a0) -> (a, b) -> (a, a0) #
Applicative (ST s)	Since: 4.4.0.0
Instance details 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 #
Representable f => Applicative (Co f)
Instance details 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 (Parser i)
Instance details Methods pure :: a -> Parser i a # (<>) :: Parser i (a -> b) -> Parser i a -> Parser i b # liftA2 :: (a -> b -> c) -> Parser i a -> Parser i b -> Parser i c # (>) :: Parser i a -> Parser i b -> Parser i b # (<*) :: Parser i a -> Parser i b -> Parser i a #
Monad m => Applicative (WrappedMonad m)	Since: 2.1
Instance details 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
Instance details Methods pure :: a0 -> ArrowMonad a a0 # (<>) :: ArrowMonad a (a0 -> b) -> ArrowMonad a a0 -> ArrowMonad a b # liftA2 :: (a0 -> b -> c) -> ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a c # (>) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a b # (<*) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a a0 #
Applicative (Proxy :: * -> *)	Since: 4.7.0.0
Instance details 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 (Signal domain)
Instance details Methods pure :: a -> Signal domain a # (<>) :: Signal domain (a -> b) -> Signal domain a -> Signal domain b # liftA2 :: (a -> b -> c) -> Signal domain a -> Signal domain b -> Signal domain c # (>) :: Signal domain a -> Signal domain b -> Signal domain b # (<*) :: Signal domain a -> Signal domain b -> Signal domain a #
(Functor m, Monad m) => Applicative (MaybeT m)
Instance details 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 #
Alternative f => Applicative (Cofree f)
Instance details 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 (Free f)
Instance details Methods pure :: a -> Free f a # (<>) :: Free f (a -> b) -> Free f a -> Free f b # liftA2 :: (a -> b -> c) -> Free f a -> Free f b -> Free f c # (>) :: Free f a -> Free f b -> Free f b # (<*) :: Free f a -> Free f b -> Free f a #
Applicative f => Applicative (Yoneda f)
Instance details 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)
Instance details 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)
Instance details 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)
Instance details 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)
Instance details 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)
Instance details 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 m => Applicative (Unhighlighted m)
Instance details Methods pure :: a -> Unhighlighted m a # (<>) :: Unhighlighted m (a -> b) -> Unhighlighted m a -> Unhighlighted m b # liftA2 :: (a -> b -> c) -> Unhighlighted m a -> Unhighlighted m b -> Unhighlighted m c # (>) :: Unhighlighted m a -> Unhighlighted m b -> Unhighlighted m b # (<*) :: Unhighlighted m a -> Unhighlighted m b -> Unhighlighted m a #
Applicative m => Applicative (Unspaced m)
Instance details Methods pure :: a -> Unspaced m a # (<>) :: Unspaced m (a -> b) -> Unspaced m a -> Unspaced m b # liftA2 :: (a -> b -> c) -> Unspaced m a -> Unspaced m b -> Unspaced m c # (>) :: Unspaced m a -> Unspaced m b -> Unspaced m b # (<*) :: Unspaced m a -> Unspaced m b -> Unspaced m a #
Applicative m => Applicative (Unlined m)
Instance details Methods pure :: a -> Unlined m a # (<>) :: Unlined m (a -> b) -> Unlined m a -> Unlined m b # liftA2 :: (a -> b -> c) -> Unlined m a -> Unlined m b -> Unlined m c # (>) :: Unlined m a -> Unlined m b -> Unlined m b # (<*) :: Unlined m a -> Unlined m b -> Unlined m a #
(Applicative (Rep p), Representable p) => Applicative (Prep p)
Instance details 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 (Mon f)
Instance details Methods pure :: a -> Mon f a # (<>) :: Mon f (a -> b) -> Mon f a -> Mon f b # liftA2 :: (a -> b -> c) -> Mon f a -> Mon f b -> Mon f c # (>) :: Mon f a -> Mon f b -> Mon f b # (<*) :: Mon f a -> Mon f b -> Mon f a #
Applicative (It r)
Instance details Methods pure :: a -> It r a # (<>) :: It r (a -> b) -> It r a -> It r b # liftA2 :: (a -> b -> c) -> It r a -> It r b -> It r c # (>) :: It r a -> It r b -> It r b # (<*) :: It r a -> It r b -> It r a #
Applicative (FFM f)
Instance details Methods pure :: a -> FFM f a # (<>) :: FFM f (a -> b) -> FFM f a -> FFM f b # liftA2 :: (a -> b -> c) -> FFM f a -> FFM f b -> FFM f c # (>) :: FFM f a -> FFM f b -> FFM f b # (<*) :: FFM f a -> FFM f b -> FFM f a #
Monad m => Applicative (FreshMT m)
Instance details Methods pure :: a -> FreshMT m a # (<>) :: FreshMT m (a -> b) -> FreshMT m a -> FreshMT m b # liftA2 :: (a -> b -> c) -> FreshMT m a -> FreshMT m b -> FreshMT m c # (>) :: FreshMT m a -> FreshMT m b -> FreshMT m b # (<*) :: FreshMT m a -> FreshMT m b -> FreshMT m a #
Applicative m => Applicative (LFreshMT m)
Instance details Methods pure :: a -> LFreshMT m a # (<>) :: LFreshMT m (a -> b) -> LFreshMT m a -> LFreshMT m b # liftA2 :: (a -> b -> c) -> LFreshMT m a -> LFreshMT m b -> LFreshMT m c # (>) :: LFreshMT m a -> LFreshMT m b -> LFreshMT m b # (<*) :: LFreshMT m a -> LFreshMT m b -> LFreshMT m a #
Applicative (SetM s)
Instance details Methods pure :: a -> SetM s a # (<>) :: SetM s (a -> b) -> SetM s a -> SetM s b # liftA2 :: (a -> b -> c) -> SetM s a -> SetM s b -> SetM s c # (>) :: SetM s a -> SetM s b -> SetM s b # (<*) :: SetM s a -> SetM s b -> SetM s a #
Applicative (RewriteMonad extra) #
Instance details Methods pure :: a -> RewriteMonad extra a # (<>) :: RewriteMonad extra (a -> b) -> RewriteMonad extra a -> RewriteMonad extra b # liftA2 :: (a -> b -> c) -> RewriteMonad extra a -> RewriteMonad extra b -> RewriteMonad extra c # (>) :: RewriteMonad extra a -> RewriteMonad extra b -> RewriteMonad extra b # (<*) :: RewriteMonad extra a -> RewriteMonad extra b -> RewriteMonad extra a #
Applicative f => Applicative (Rec1 f)	Since: 4.9.0.0
Instance details 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
Instance details Methods pure :: a0 -> WrappedArrow a b a0 # (<>) :: WrappedArrow a b (a0 -> b0) -> WrappedArrow a b a0 -> WrappedArrow a b b0 # liftA2 :: (a0 -> b0 -> c) -> WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b c # (>) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b b0 # (<*) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b a0 #
Monoid m => Applicative (Const m :: * -> *)	Since: 2.0.1
Instance details 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)
Instance details 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)
Instance details 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)
Instance details 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 m => Applicative (IdentityT m)
Instance details 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))`. Since: 0.5.9
Instance details 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 #
(Functor m, Monad m) => Applicative (ExceptT e m)
Instance details 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 f, Monad m) => Applicative (FreeT f m)
Instance details 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)
Instance details 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 f, Applicative g) => Applicative (Day f g)
Instance details 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)
Instance details 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.
Instance details 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 (Mafic a b)
Instance details Methods pure :: a0 -> Mafic a b a0 # (<>) :: Mafic a b (a0 -> b0) -> Mafic a b a0 -> Mafic a b b0 # liftA2 :: (a0 -> b0 -> c) -> Mafic a b a0 -> Mafic a b b0 -> Mafic a b c # (>) :: Mafic a b a0 -> Mafic a b b0 -> Mafic a b b0 # (<*) :: Mafic a b a0 -> Mafic a b b0 -> Mafic a b a0 #
Applicative (Flows i b)	This is an illegal `Applicative`.
Instance details Methods pure :: a -> Flows i b a # (<>) :: Flows i b (a -> b0) -> Flows i b a -> Flows i b b0 # liftA2 :: (a -> b0 -> c) -> Flows i b a -> Flows i b b0 -> Flows i b c # (>) :: Flows i b a -> Flows i b b0 -> Flows i b b0 # (<*) :: Flows i b a -> Flows i b b0 -> Flows i b a #
Applicative (Indexed i a)
Instance details Methods pure :: a0 -> Indexed i a a0 # (<>) :: Indexed i a (a0 -> b) -> Indexed i a a0 -> Indexed i a b # liftA2 :: (a0 -> b -> c) -> Indexed i a a0 -> Indexed i a b -> Indexed i a c # (>) :: Indexed i a a0 -> Indexed i a b -> Indexed i a b # (<*) :: Indexed i a a0 -> Indexed i a b -> Indexed i a a0 #
(Functor m, Monad m) => Applicative (StateT s m)
Instance details 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)
Instance details 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)
Instance details 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)
Instance details 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 #
(Profunctor p, Arrow p) => Applicative (Tambara p a)
Instance details Methods pure :: a0 -> Tambara p a a0 # (<>) :: Tambara p a (a0 -> b) -> Tambara p a a0 -> Tambara p a b # liftA2 :: (a0 -> b -> c) -> Tambara p a a0 -> Tambara p a b -> Tambara p a c # (>) :: Tambara p a a0 -> Tambara p a b -> Tambara p a b # (<*) :: Tambara p a a0 -> Tambara p a b -> Tambara p a a0 #
Applicative (Tagged s)
Instance details Methods pure :: a -> Tagged s a # (<>) :: Tagged s (a -> b) -> Tagged s a -> Tagged s b # liftA2 :: (a -> b -> c) -> Tagged s a -> Tagged s b -> Tagged s c # (>) :: Tagged s a -> Tagged s b -> Tagged s b # (<*) :: Tagged s a -> Tagged s b -> Tagged s a #
Applicative f => Applicative (Reverse f)	Derived instance.
Instance details 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 :: * -> *)
Instance details Methods pure :: a0 -> Constant a a0 # (<>) :: Constant a (a0 -> b) -> Constant a a0 -> Constant a b # liftA2 :: (a0 -> b -> c) -> Constant a a0 -> Constant a b -> Constant a c # (>) :: Constant a a0 -> Constant a b -> Constant a b # (<*) :: Constant a a0 -> Constant a b -> Constant a a0 #
Monoid m => Applicative (Holes t m)
Instance details Methods pure :: a -> Holes t m a # (<>) :: Holes t m (a -> b) -> Holes t m a -> Holes t m b # liftA2 :: (a -> b -> c) -> Holes t m a -> Holes t m b -> Holes t m c # (>) :: Holes t m a -> Holes t m b -> Holes t m b # (<*) :: Holes t m a -> Holes t m b -> Holes t m a #
Applicative ((->) a :: * -> *)	Since: 2.1
Instance details Methods pure :: a0 -> a -> a0 # (<>) :: (a -> a0 -> b) -> (a -> a0) -> a -> b # liftA2 :: (a0 -> b -> c) -> (a -> a0) -> (a -> b) -> a -> c # (>) :: (a -> a0) -> (a -> b) -> a -> b # (<*) :: (a -> a0) -> (a -> b) -> a -> a0 #
(Applicative f, Applicative g) => Applicative (f :*: g)	Since: 4.9.0.0
Instance details 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
Instance details 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)))` Since: 0.5.9
Instance details 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))` . Since: 0.5.9
Instance details 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 (Molten i a b)
Instance details Methods pure :: a0 -> Molten i a b a0 # (<>) :: Molten i a b (a0 -> b0) -> Molten i a b a0 -> Molten i a b b0 # liftA2 :: (a0 -> b0 -> c) -> Molten i a b a0 -> Molten i a b b0 -> Molten i a b c # (>) :: Molten i a b a0 -> Molten i a b b0 -> Molten i a b b0 # (<*) :: Molten i a b a0 -> Molten i a b b0 -> Molten i a b a0 #
Applicative (Bazaar p a b)
Instance details Methods pure :: a0 -> Bazaar p a b a0 # (<>) :: Bazaar p a b (a0 -> b0) -> Bazaar p a b a0 -> Bazaar p a b b0 # liftA2 :: (a0 -> b0 -> c) -> Bazaar p a b a0 -> Bazaar p a b b0 -> Bazaar p a b c # (>) :: Bazaar p a b a0 -> Bazaar p a b b0 -> Bazaar p a b b0 # (<*) :: Bazaar p a b a0 -> Bazaar p a b b0 -> Bazaar p a b a0 #
Applicative (ContT r m)
Instance details Methods pure :: a -> ContT r m a # (<>) :: ContT r m (a -> b) -> ContT r m a -> ContT r m b # liftA2 :: (a -> b -> c) -> ContT r m a -> ContT r m b -> ContT r m c # (>) :: ContT r m a -> ContT r m b -> ContT r m b # (<*) :: ContT r m a -> ContT r m b -> ContT r m a #
Applicative m => Applicative (ReaderT r m)
Instance details 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 (ParsecT s u m)
Instance details Methods pure :: a -> ParsecT s u m a # (<>) :: ParsecT s u m (a -> b) -> ParsecT s u m a -> ParsecT s u m b # liftA2 :: (a -> b -> c) -> ParsecT s u m a -> ParsecT s u m b -> ParsecT s u m c # (>) :: ParsecT s u m a -> ParsecT s u m b -> ParsecT s u m b # (<*) :: ParsecT s u m a -> ParsecT s u m b -> ParsecT s u m a #
Applicative f => Applicative (M1 i c f)	Since: 4.9.0.0
Instance details 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 -> c0) -> M1 i c f a -> M1 i c f b -> M1 i c f c0 # (>) :: 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
Instance details 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
Instance details 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)))` Since: 0.5.9
Instance details 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 #
Applicative (TakingWhile p f a b)
Instance details Methods pure :: a0 -> TakingWhile p f a b a0 # (<>) :: TakingWhile p f a b (a0 -> b0) -> TakingWhile p f a b a0 -> TakingWhile p f a b b0 # liftA2 :: (a0 -> b0 -> c) -> TakingWhile p f a b a0 -> TakingWhile p f a b b0 -> TakingWhile p f a b c # (>) :: TakingWhile p f a b a0 -> TakingWhile p f a b b0 -> TakingWhile p f a b b0 # (<*) :: TakingWhile p f a b a0 -> TakingWhile p f a b b0 -> TakingWhile p f a b a0 #
Applicative (BazaarT p g a b)
Instance details Methods pure :: a0 -> BazaarT p g a b a0 # (<>) :: BazaarT p g a b (a0 -> b0) -> BazaarT p g a b a0 -> BazaarT p g a b b0 # liftA2 :: (a0 -> b0 -> c) -> BazaarT p g a b a0 -> BazaarT p g a b b0 -> BazaarT p g a b c # (>) :: BazaarT p g a b a0 -> BazaarT p g a b b0 -> BazaarT p g a b b0 # (<*) :: BazaarT p g a b a0 -> BazaarT p g a b b0 -> BazaarT p g a b a0 #
(Monoid w, Functor m, Monad m) => Applicative (RWST r w s m)
Instance details 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)
Instance details 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 s (ReifiedApplicative f) => Applicative (ReflectedApplicative f s)
Instance details Methods pure :: a -> ReflectedApplicative f s a # (<>) :: ReflectedApplicative f s (a -> b) -> ReflectedApplicative f s a -> ReflectedApplicative f s b # liftA2 :: (a -> b -> c) -> ReflectedApplicative f s a -> ReflectedApplicative f s b -> ReflectedApplicative f s c # (>) :: ReflectedApplicative f s a -> ReflectedApplicative f s b -> ReflectedApplicative f s b # (<*) :: ReflectedApplicative f s a -> ReflectedApplicative f s b -> ReflectedApplicative f s a #

(<$>) :: 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

Expand

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)

(<=<) :: Monad m => (b -> m c) -> (a -> m b) -> a -> m c infixr 1 #

Right-to-left Kleisli composition of monads. (>=>), with the arguments flipped.

Note how this operator resembles function composition (.):

(.)   ::            (b ->   c) -> (a ->   b) -> a ->   c
(<=<) :: Monad m => (b -> m c) -> (a -> m b) -> a -> m c

(>=>) :: Monad m => (a -> m b) -> (b -> m c) -> a -> m c infixr 1 #

Left-to-right Kleisli composition of monads.

first :: Arrow a => a b c -> a (b, d) (c, d) #

Send the first component of the input through the argument arrow, and copy the rest unchanged to the output.

second :: Arrow a => a b c -> a (d, b) (d, c) #

A mirror image of first.

The default definition may be overridden with a more efficient version if desired.

(***) :: Arrow a => a b c -> a b' c' -> a (b, b') (c, c') infixr 3 #

Split the input between the two argument arrows and combine their output. Note that this is in general not a functor.

The default definition may be overridden with a more efficient version if desired.

on :: (b -> b -> c) -> (a -> b) -> a -> a -> c infixl 0 #

makeLenses :: Name -> DecsQ #

Build lenses (and traversals) with a sensible default configuration.

e.g.

data FooBar
  = Foo { _x, _y :: Int }
  | Bar { _x :: Int }
makeLenses ''FooBar

will create

x :: Lens' FooBar Int
x f (Foo a b) = (\a' -> Foo a' b) <$> f a
x f (Bar a)   = Bar <$> f a
y :: Traversal' FooBar Int
y f (Foo a b) = (\b' -> Foo a  b') <$> f b
y _ c@(Bar _) = pure c

makeLenses = makeLensesWith lensRules