ghc-8.4.0.20171214: The GHC API

Safe HaskellNone
LanguageHaskell2010

MonadUtils

Description

Utilities related to Monad and Applicative classes Mostly for backwards compatibility.

Synopsis

Documentation

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

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 Source #

Lift a value.

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

Sequential application.

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

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

Sequence actions, discarding the value of the first argument.

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

Sequence actions, discarding the value of the second argument.

Instances
Applicative []

Since: 2.1

Instance details

Methods

pure :: a -> [a] Source #

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

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

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

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

Applicative Maybe

Since: 2.1

Instance details

Methods

pure :: a -> Maybe a Source #

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

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

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

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

Applicative IO

Since: 2.1

Instance details

Methods

pure :: a -> IO a Source #

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

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

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

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

Applicative Par1

Since: 4.9.0.0

Instance details

Methods

pure :: a -> Par1 a Source #

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

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

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

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

Applicative Q 
Instance details

Methods

pure :: a -> Q a Source #

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

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

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

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

Applicative Complex

Since: 4.9.0.0

Instance details

Methods

pure :: a -> Complex a Source #

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

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

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

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

Applicative Min

Since: 4.9.0.0

Instance details

Methods

pure :: a -> Min a Source #

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

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

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

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

Applicative Max

Since: 4.9.0.0

Instance details

Methods

pure :: a -> Max a Source #

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

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

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

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

Applicative First

Since: 4.9.0.0

Instance details

Methods

pure :: a -> First a Source #

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

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

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

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

Applicative Last

Since: 4.9.0.0

Instance details

Methods

pure :: a -> Last a Source #

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

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

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

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

Applicative Option

Since: 4.9.0.0

Instance details

Methods

pure :: a -> Option a Source #

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

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

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

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

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 Source #

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

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

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

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

Applicative Identity

Since: 4.8.0.0

Instance details

Methods

pure :: a -> Identity a Source #

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

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

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

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

Applicative STM

Since: 4.8.0.0

Instance details

Methods

pure :: a -> STM a Source #

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

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

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

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

Applicative First 
Instance details

Methods

pure :: a -> First a Source #

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

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

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

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

Applicative Last 
Instance details

Methods

pure :: a -> Last a Source #

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

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

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

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

Applicative Dual

Since: 4.8.0.0

Instance details

Methods

pure :: a -> Dual a Source #

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

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

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

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

Applicative Sum

Since: 4.8.0.0

Instance details

Methods

pure :: a -> Sum a Source #

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

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

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

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

Applicative Product

Since: 4.8.0.0

Instance details

Methods

pure :: a -> Product a Source #

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

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

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

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

Applicative Down

Since: 4.11.0.0

Instance details

Methods

pure :: a -> Down a Source #

(<*>) :: Down (a -> b) -> Down a -> Down b Source #

liftA2 :: (a -> b -> c) -> Down a -> Down b -> Down c Source #

(*>) :: Down a -> Down b -> Down b Source #

(<*) :: Down a -> Down b -> Down a Source #

Applicative ReadPrec

Since: 4.6.0.0

Instance details

Methods

pure :: a -> ReadPrec a Source #

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

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

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

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

Applicative ReadP

Since: 4.6.0.0

Instance details

Methods

pure :: a -> ReadP a Source #

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

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

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

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

Applicative NonEmpty

Since: 4.9.0.0

Instance details

Methods

pure :: a -> NonEmpty a Source #

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

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

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

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

Applicative Put 
Instance details

Methods

pure :: a -> Put a Source #

(<*>) :: Put (a -> b) -> Put a -> Put b Source #

liftA2 :: (a -> b -> c) -> Put a -> Put b -> Put c Source #

(*>) :: Put a -> Put b -> Put b Source #

(<*) :: Put a -> Put b -> Put a Source #

Applicative PutM 
Instance details

Methods

pure :: a -> PutM a Source #

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

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

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

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

Applicative Get 
Instance details

Methods

pure :: a -> Get a Source #

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

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

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

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

Applicative Tree 
Instance details

Methods

pure :: a -> Tree a Source #

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

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

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

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

Applicative Seq 
Instance details

Methods

pure :: a -> Seq a Source #

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

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

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

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

Applicative Capability 
Instance details
Applicative P

Since: 4.5.0.0

Instance details

Methods

pure :: a -> P a Source #

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

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

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

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

Applicative Pair # 
Instance details

Methods

pure :: a -> Pair a Source #

(<*>) :: Pair (a -> b) -> Pair a -> Pair b Source #

liftA2 :: (a -> b -> c) -> Pair a -> Pair b -> Pair c Source #

(*>) :: Pair a -> Pair b -> Pair b Source #

(<*) :: Pair a -> Pair b -> Pair a Source #

Applicative UniqSM # 
Instance details

Methods

pure :: a -> UniqSM a Source #

(<*>) :: UniqSM (a -> b) -> UniqSM a -> UniqSM b Source #

liftA2 :: (a -> b -> c) -> UniqSM a -> UniqSM b -> UniqSM c Source #

(*>) :: UniqSM a -> UniqSM b -> UniqSM b Source #

(<*) :: UniqSM a -> UniqSM b -> UniqSM a Source #

Applicative P # 
Instance details

Methods

pure :: a -> P a Source #

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

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

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

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

Applicative PD # 
Instance details

Methods

pure :: a -> PD a Source #

(<*>) :: PD (a -> b) -> PD a -> PD b Source #

liftA2 :: (a -> b -> c) -> PD a -> PD b -> PD c Source #

(*>) :: PD a -> PD b -> PD b Source #

(<*) :: PD a -> PD b -> PD a Source #

Applicative UnifyResultM # 
Instance details
Applicative LlvmM # 
Instance details

Methods

pure :: a -> LlvmM a Source #

(<*>) :: LlvmM (a -> b) -> LlvmM a -> LlvmM b Source #

liftA2 :: (a -> b -> c) -> LlvmM a -> LlvmM b -> LlvmM c Source #

(*>) :: LlvmM a -> LlvmM b -> LlvmM b Source #

(<*) :: LlvmM a -> LlvmM b -> LlvmM a Source #

Applicative FCode # 
Instance details

Methods

pure :: a -> FCode a Source #

(<*>) :: FCode (a -> b) -> FCode a -> FCode b Source #

liftA2 :: (a -> b -> c) -> FCode a -> FCode b -> FCode c Source #

(*>) :: FCode a -> FCode b -> FCode b Source #

(<*) :: FCode a -> FCode b -> FCode a Source #

Applicative CmmParse # 
Instance details

Methods

pure :: a -> CmmParse a Source #

(<*>) :: CmmParse (a -> b) -> CmmParse a -> CmmParse b Source #

liftA2 :: (a -> b -> c) -> CmmParse a -> CmmParse b -> CmmParse c Source #

(*>) :: CmmParse a -> CmmParse b -> CmmParse b Source #

(<*) :: CmmParse a -> CmmParse b -> CmmParse a Source #

Applicative Hsc # 
Instance details

Methods

pure :: a -> Hsc a Source #

(<*>) :: Hsc (a -> b) -> Hsc a -> Hsc b Source #

liftA2 :: (a -> b -> c) -> Hsc a -> Hsc b -> Hsc c Source #

(*>) :: Hsc a -> Hsc b -> Hsc b Source #

(<*) :: Hsc a -> Hsc b -> Hsc a Source #

Applicative TcPluginM # 
Instance details

Methods

pure :: a -> TcPluginM a Source #

(<*>) :: TcPluginM (a -> b) -> TcPluginM a -> TcPluginM b Source #

liftA2 :: (a -> b -> c) -> TcPluginM a -> TcPluginM b -> TcPluginM c Source #

(*>) :: TcPluginM a -> TcPluginM b -> TcPluginM b Source #

(<*) :: TcPluginM a -> TcPluginM b -> TcPluginM a Source #

Applicative CompPipeline # 
Instance details
Applicative Ghc # 
Instance details

Methods

pure :: a -> Ghc a Source #

(<*>) :: Ghc (a -> b) -> Ghc a -> Ghc b Source #

liftA2 :: (a -> b -> c) -> Ghc a -> Ghc b -> Ghc c Source #

(*>) :: Ghc a -> Ghc b -> Ghc b Source #

(<*) :: Ghc a -> Ghc b -> Ghc a Source #

Applicative CoreM # 
Instance details

Methods

pure :: a -> CoreM a Source #

(<*>) :: CoreM (a -> b) -> CoreM a -> CoreM b Source #

liftA2 :: (a -> b -> c) -> CoreM a -> CoreM b -> CoreM c Source #

(*>) :: CoreM a -> CoreM b -> CoreM b Source #

(<*) :: CoreM a -> CoreM b -> CoreM a Source #

Applicative SimplM # 
Instance details

Methods

pure :: a -> SimplM a Source #

(<*>) :: SimplM (a -> b) -> SimplM a -> SimplM b Source #

liftA2 :: (a -> b -> c) -> SimplM a -> SimplM b -> SimplM c Source #

(*>) :: SimplM a -> SimplM b -> SimplM b Source #

(<*) :: SimplM a -> SimplM b -> SimplM a Source #

Applicative CpsRn # 
Instance details

Methods

pure :: a -> CpsRn a Source #

(<*>) :: CpsRn (a -> b) -> CpsRn a -> CpsRn b Source #

liftA2 :: (a -> b -> c) -> CpsRn a -> CpsRn b -> CpsRn c Source #

(*>) :: CpsRn a -> CpsRn b -> CpsRn b Source #

(<*) :: CpsRn a -> CpsRn b -> CpsRn a Source #

Applicative OccCheckResult # 
Instance details
Applicative TcS # 
Instance details

Methods

pure :: a -> TcS a Source #

(<*>) :: TcS (a -> b) -> TcS a -> TcS b Source #

liftA2 :: (a -> b -> c) -> TcS a -> TcS b -> TcS c Source #

(*>) :: TcS a -> TcS b -> TcS b Source #

(<*) :: TcS a -> TcS b -> TcS a Source #

Applicative VM # 
Instance details

Methods

pure :: a -> VM a Source #

(<*>) :: VM (a -> b) -> VM a -> VM b Source #

liftA2 :: (a -> b -> c) -> VM a -> VM b -> VM c Source #

(*>) :: VM a -> VM b -> VM b Source #

(<*) :: VM a -> VM b -> VM a Source #

Applicative NatM # 
Instance details

Methods

pure :: a -> NatM a Source #

(<*>) :: NatM (a -> b) -> NatM a -> NatM b Source #

liftA2 :: (a -> b -> c) -> NatM a -> NatM b -> NatM c Source #

(*>) :: NatM a -> NatM b -> NatM b Source #

(<*) :: NatM a -> NatM b -> NatM a Source #

Applicative (Either e)

Since: 3.0

Instance details

Methods

pure :: a -> Either e a Source #

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

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

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

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

Applicative (U1 :: * -> *)

Since: 4.9.0.0

Instance details

Methods

pure :: a -> U1 a Source #

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

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

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

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

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

Instance details

Methods

pure :: a0 -> (a, a0) Source #

(<*>) :: (a, a0 -> b) -> (a, a0) -> (a, b) Source #

liftA2 :: (a0 -> b -> c) -> (a, a0) -> (a, b) -> (a, c) Source #

(*>) :: (a, a0) -> (a, b) -> (a, b) Source #

(<*) :: (a, a0) -> (a, b) -> (a, a0) Source #

Monad m => Applicative (WrappedMonad m)

Since: 2.1

Instance details

Methods

pure :: a -> WrappedMonad m a Source #

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

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

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

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

Arrow a => Applicative (ArrowMonad a)

Since: 4.6.0.0

Instance details

Methods

pure :: a0 -> ArrowMonad a a0 Source #

(<*>) :: ArrowMonad a (a0 -> b) -> ArrowMonad a a0 -> ArrowMonad a b Source #

liftA2 :: (a0 -> b -> c) -> ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a c Source #

(*>) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a b Source #

(<*) :: ArrowMonad a a0 -> ArrowMonad a b -> ArrowMonad a a0 Source #

Applicative (Proxy :: * -> *)

Since: 4.7.0.0

Instance details

Methods

pure :: a -> Proxy a Source #

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

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

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

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

Applicative (ST s)

Since: 4.4.0.0

Instance details

Methods

pure :: a -> ST s a Source #

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

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

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

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

Applicative (State s) 
Instance details

Methods

pure :: a -> State s a Source #

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

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

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

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

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

Methods

pure :: a -> MaybeT m a Source #

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

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

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

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

Applicative (ListT f) # 
Instance details

Methods

pure :: a -> ListT f a Source #

(<*>) :: ListT f (a -> b) -> ListT f a -> ListT f b Source #

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

(*>) :: ListT f a -> ListT f b -> ListT f b Source #

(<*) :: ListT f a -> ListT f b -> ListT f a Source #

Applicative (State s) # 
Instance details

Methods

pure :: a -> State s a Source #

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

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

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

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

Applicative (MaybeErr err) # 
Instance details

Methods

pure :: a -> MaybeErr err a Source #

(<*>) :: MaybeErr err (a -> b) -> MaybeErr err a -> MaybeErr err b Source #

liftA2 :: (a -> b -> c) -> MaybeErr err a -> MaybeErr err b -> MaybeErr err c Source #

(*>) :: MaybeErr err a -> MaybeErr err b -> MaybeErr err b Source #

(<*) :: MaybeErr err a -> MaybeErr err b -> MaybeErr err a Source #

Applicative (SetM s) 
Instance details

Methods

pure :: a -> SetM s a Source #

(<*>) :: SetM s (a -> b) -> SetM s a -> SetM s b Source #

liftA2 :: (a -> b -> c) -> SetM s a -> SetM s b -> SetM s c Source #

(*>) :: SetM s a -> SetM s b -> SetM s b Source #

(<*) :: SetM s a -> SetM s b -> SetM s a Source #

Applicative (CmdLineP s) # 
Instance details

Methods

pure :: a -> CmdLineP s a Source #

(<*>) :: CmdLineP s (a -> b) -> CmdLineP s a -> CmdLineP s b Source #

liftA2 :: (a -> b -> c) -> CmdLineP s a -> CmdLineP s b -> CmdLineP s c Source #

(*>) :: CmdLineP s a -> CmdLineP s b -> CmdLineP s b Source #

(<*) :: CmdLineP s a -> CmdLineP s b -> CmdLineP s a Source #

Monad m => Applicative (EwM m) # 
Instance details

Methods

pure :: a -> EwM m a Source #

(<*>) :: EwM m (a -> b) -> EwM m a -> EwM m b Source #

liftA2 :: (a -> b -> c) -> EwM m a -> EwM m b -> EwM m c Source #

(*>) :: EwM m a -> EwM m b -> EwM m b Source #

(<*) :: EwM m a -> EwM m b -> EwM m a Source #

Applicative (IOEnv m) # 
Instance details

Methods

pure :: a -> IOEnv m a Source #

(<*>) :: IOEnv m (a -> b) -> IOEnv m a -> IOEnv m b Source #

liftA2 :: (a -> b -> c) -> IOEnv m a -> IOEnv m b -> IOEnv m c Source #

(*>) :: IOEnv m a -> IOEnv m b -> IOEnv m b Source #

(<*) :: IOEnv m a -> IOEnv m b -> IOEnv m a Source #

Applicative (RegM freeRegs) # 
Instance details

Methods

pure :: a -> RegM freeRegs a Source #

(<*>) :: RegM freeRegs (a -> b) -> RegM freeRegs a -> RegM freeRegs b Source #

liftA2 :: (a -> b -> c) -> RegM freeRegs a -> RegM freeRegs b -> RegM freeRegs c Source #

(*>) :: RegM freeRegs a -> RegM freeRegs b -> RegM freeRegs b Source #

(<*) :: RegM freeRegs a -> RegM freeRegs b -> RegM freeRegs a Source #

Applicative m => Applicative (GhcT m) # 
Instance details

Methods

pure :: a -> GhcT m a Source #

(<*>) :: GhcT m (a -> b) -> GhcT m a -> GhcT m b Source #

liftA2 :: (a -> b -> c) -> GhcT m a -> GhcT m b -> GhcT m c Source #

(*>) :: GhcT m a -> GhcT m b -> GhcT m b Source #

(<*) :: GhcT m a -> GhcT m b -> GhcT m a Source #

Applicative f => Applicative (Rec1 f)

Since: 4.9.0.0

Instance details

Methods

pure :: a -> Rec1 f a Source #

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

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

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

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

Arrow a => Applicative (WrappedArrow a b)

Since: 2.1

Instance details

Methods

pure :: a0 -> WrappedArrow a b a0 Source #

(<*>) :: WrappedArrow a b (a0 -> b0) -> WrappedArrow a b a0 -> WrappedArrow a b b0 Source #

liftA2 :: (a0 -> b0 -> c) -> WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b c Source #

(*>) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b b0 Source #

(<*) :: WrappedArrow a b a0 -> WrappedArrow a b b0 -> WrappedArrow a b a0 Source #

Monoid m => Applicative (Const m :: * -> *)

Since: 2.0.1

Instance details

Methods

pure :: a -> Const m a Source #

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

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

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

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

Applicative f => Applicative (Alt f) 
Instance details

Methods

pure :: a -> Alt f a Source #

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

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

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

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

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

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

Instance details

Methods

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

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

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

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

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

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

Methods

pure :: a -> WriterT w m a Source #

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

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

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

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

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

Methods

pure :: a -> StateT s m a Source #

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

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

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

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

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

Methods

pure :: a -> StateT s m a Source #

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

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

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

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

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

Methods

pure :: a -> ExceptT e m a Source #

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

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

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

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

Monad m => Applicative (Stream m a) # 
Instance details

Methods

pure :: a0 -> Stream m a a0 Source #

(<*>) :: Stream m a (a0 -> b) -> Stream m a a0 -> Stream m a b Source #

liftA2 :: (a0 -> b -> c) -> Stream m a a0 -> Stream m a b -> Stream m a c Source #

(*>) :: Stream m a a0 -> Stream m a b -> Stream m a b Source #

(<*) :: Stream m a a0 -> Stream m a b -> Stream m a a0 Source #

Applicative ((->) a :: * -> *)

Since: 2.1

Instance details

Methods

pure :: a0 -> a -> a0 Source #

(<*>) :: (a -> a0 -> b) -> (a -> a0) -> a -> b Source #

liftA2 :: (a0 -> b -> c) -> (a -> a0) -> (a -> b) -> a -> c Source #

(*>) :: (a -> a0) -> (a -> b) -> a -> b Source #

(<*) :: (a -> a0) -> (a -> b) -> a -> a0 Source #

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

Since: 4.9.0.0

Instance details

Methods

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

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

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

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

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

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

Since: 4.9.0.0

Instance details

Methods

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

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

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

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

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

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

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

Instance details

Methods

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

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

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

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

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

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

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

Instance details

Methods

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

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

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

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

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

Applicative m => Applicative (ReaderT r m) 
Instance details

Methods

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

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

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

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

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

Applicative f => Applicative (M1 i c f)

Since: 4.9.0.0

Instance details

Methods

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

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

liftA2 :: (a -> b -> c0) -> M1 i c f a -> M1 i c f b -> M1 i c f c0 Source #

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

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

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

Since: 4.9.0.0

Instance details

Methods

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

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

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

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

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

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

Since: 4.9.0.0

Instance details

Methods

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

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

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

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

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

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

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

Instance details

Methods

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

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

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

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

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

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

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)

class Monad m => MonadFix (m :: * -> *) where Source #

Monads having fixed points with a 'knot-tying' semantics. Instances of MonadFix should satisfy the following laws:

purity
mfix (return . h) = return (fix h)
left shrinking (or tightening)
mfix (\x -> a >>= \y -> f x y) = a >>= \y -> mfix (\x -> f x y)
sliding
mfix (liftM h . f) = liftM h (mfix (f . h)), for strict h.
nesting
mfix (\x -> mfix (\y -> f x y)) = mfix (\x -> f x x)

This class is used in the translation of the recursive do notation supported by GHC and Hugs.

Minimal complete definition

mfix

Methods

mfix :: (a -> m a) -> m a Source #

The fixed point of a monadic computation. mfix f executes the action f only once, with the eventual output fed back as the input. Hence f should not be strict, for then mfix f would diverge.

Instances
MonadFix []

Since: 2.1

Instance details

Methods

mfix :: (a -> [a]) -> [a] Source #

MonadFix Maybe

Since: 2.1

Instance details

Methods

mfix :: (a -> Maybe a) -> Maybe a Source #

MonadFix IO

Since: 2.1

Instance details

Methods

mfix :: (a -> IO a) -> IO a Source #

MonadFix Par1

Since: 4.9.0.0

Instance details

Methods

mfix :: (a -> Par1 a) -> Par1 a Source #

MonadFix Min

Since: 4.9.0.0

Instance details

Methods

mfix :: (a -> Min a) -> Min a Source #

MonadFix Max

Since: 4.9.0.0

Instance details

Methods

mfix :: (a -> Max a) -> Max a Source #

MonadFix First

Since: 4.9.0.0

Instance details

Methods

mfix :: (a -> First a) -> First a Source #

MonadFix Last

Since: 4.9.0.0

Instance details

Methods

mfix :: (a -> Last a) -> Last a Source #

MonadFix Option

Since: 4.9.0.0

Instance details

Methods

mfix :: (a -> Option a) -> Option a Source #

MonadFix Identity

Since: 4.8.0.0

Instance details

Methods

mfix :: (a -> Identity a) -> Identity a Source #

MonadFix First

Since: 4.8.0.0

Instance details

Methods

mfix :: (a -> First a) -> First a Source #

MonadFix Last

Since: 4.8.0.0

Instance details

Methods

mfix :: (a -> Last a) -> Last a Source #

MonadFix Dual

Since: 4.8.0.0

Instance details

Methods

mfix :: (a -> Dual a) -> Dual a Source #

MonadFix Sum

Since: 4.8.0.0

Instance details

Methods

mfix :: (a -> Sum a) -> Sum a Source #

MonadFix Product

Since: 4.8.0.0

Instance details

Methods

mfix :: (a -> Product a) -> Product a Source #

MonadFix NonEmpty

Since: 4.9.0.0

Instance details

Methods

mfix :: (a -> NonEmpty a) -> NonEmpty a Source #

MonadFix UniqSM # 
Instance details

Methods

mfix :: (a -> UniqSM a) -> UniqSM a Source #

MonadFix Ghc # 
Instance details

Methods

mfix :: (a -> Ghc a) -> Ghc a Source #

MonadFix (Either e)

Since: 4.3.0.0

Instance details

Methods

mfix :: (a -> Either e a) -> Either e a Source #

MonadFix (ST s)

Since: 2.1

Instance details

Methods

mfix :: (a -> ST s a) -> ST s a Source #

MonadFix m => MonadFix (MaybeT m) 
Instance details

Methods

mfix :: (a -> MaybeT m a) -> MaybeT m a Source #

MonadFix f => MonadFix (Rec1 f)

Since: 4.9.0.0

Instance details

Methods

mfix :: (a -> Rec1 f a) -> Rec1 f a Source #

MonadFix f => MonadFix (Alt f)

Since: 4.8.0.0

Instance details

Methods

mfix :: (a -> Alt f a) -> Alt f a Source #

(Monoid w, MonadFix m) => MonadFix (WriterT w m) 
Instance details

Methods

mfix :: (a -> WriterT w m a) -> WriterT w m a Source #

MonadFix m => MonadFix (StateT s m) 
Instance details

Methods

mfix :: (a -> StateT s m a) -> StateT s m a Source #

MonadFix m => MonadFix (StateT s m) 
Instance details

Methods

mfix :: (a -> StateT s m a) -> StateT s m a Source #

MonadFix m => MonadFix (ExceptT e m) 
Instance details

Methods

mfix :: (a -> ExceptT e m a) -> ExceptT e m a Source #

MonadFix ((->) r :: * -> *)

Since: 2.1

Instance details

Methods

mfix :: (a -> r -> a) -> r -> a Source #

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

Since: 4.9.0.0

Instance details

Methods

mfix :: (a -> (f :*: g) a) -> (f :*: g) a Source #

(MonadFix f, MonadFix g) => MonadFix (Product f g)

Since: 4.9.0.0

Instance details

Methods

mfix :: (a -> Product f g a) -> Product f g a Source #

MonadFix m => MonadFix (ReaderT r m) 
Instance details

Methods

mfix :: (a -> ReaderT r m a) -> ReaderT r m a Source #

MonadFix f => MonadFix (M1 i c f)

Since: 4.9.0.0

Instance details

Methods

mfix :: (a -> M1 i c f a) -> M1 i c f a Source #

class Monad m => MonadIO (m :: * -> *) where Source #

Monads in which IO computations may be embedded. Any monad built by applying a sequence of monad transformers to the IO monad will be an instance of this class.

Instances should satisfy the following laws, which state that liftIO is a transformer of monads:

Minimal complete definition

liftIO

Methods

liftIO :: IO a -> m a Source #

Lift a computation from the IO monad.

Instances
MonadIO IO

Since: 4.9.0.0

Instance details

Methods

liftIO :: IO a -> IO a Source #

MonadIO Q 
Instance details

Methods

liftIO :: IO a -> Q a Source #

MonadIO Hsc # 
Instance details

Methods

liftIO :: IO a -> Hsc a Source #

MonadIO CompPipeline # 
Instance details

Methods

liftIO :: IO a -> CompPipeline a Source #

MonadIO Ghc # 
Instance details

Methods

liftIO :: IO a -> Ghc a Source #

MonadIO CoreM # 
Instance details

Methods

liftIO :: IO a -> CoreM a Source #

MonadIO SimplM # 
Instance details

Methods

liftIO :: IO a -> SimplM a Source #

MonadIO VM # 
Instance details

Methods

liftIO :: IO a -> VM a Source #

MonadIO m => MonadIO (MaybeT m) 
Instance details

Methods

liftIO :: IO a -> MaybeT m a Source #

MonadIO (IOEnv env) # 
Instance details

Methods

liftIO :: IO a -> IOEnv env a Source #

MonadIO m => MonadIO (GhcT m) # 
Instance details

Methods

liftIO :: IO a -> GhcT m a Source #

(Monoid w, MonadIO m) => MonadIO (WriterT w m) 
Instance details

Methods

liftIO :: IO a -> WriterT w m a Source #

MonadIO m => MonadIO (StateT s m) 
Instance details

Methods

liftIO :: IO a -> StateT s m a Source #

MonadIO m => MonadIO (StateT s m) 
Instance details

Methods

liftIO :: IO a -> StateT s m a Source #

MonadIO m => MonadIO (ExceptT e m) 
Instance details

Methods

liftIO :: IO a -> ExceptT e m a Source #

MonadIO m => MonadIO (ReaderT r m) 
Instance details

Methods

liftIO :: IO a -> ReaderT r m a Source #

liftIO1 :: MonadIO m => (a -> IO b) -> a -> m b Source #

Lift an IO operation with 1 argument into another monad

liftIO2 :: MonadIO m => (a -> b -> IO c) -> a -> b -> m c Source #

Lift an IO operation with 2 arguments into another monad

liftIO3 :: MonadIO m => (a -> b -> c -> IO d) -> a -> b -> c -> m d Source #

Lift an IO operation with 3 arguments into another monad

liftIO4 :: MonadIO m => (a -> b -> c -> d -> IO e) -> a -> b -> c -> d -> m e Source #

Lift an IO operation with 4 arguments into another monad

zipWith3M :: Monad m => (a -> b -> c -> m d) -> [a] -> [b] -> [c] -> m [d] Source #

zipWith3M_ :: Monad m => (a -> b -> c -> m d) -> [a] -> [b] -> [c] -> m () Source #

zipWith4M :: Monad m => (a -> b -> c -> d -> m e) -> [a] -> [b] -> [c] -> [d] -> m [e] Source #

zipWithAndUnzipM :: Monad m => (a -> b -> m (c, d)) -> [a] -> [b] -> m ([c], [d]) Source #

mapAndUnzipM :: Applicative m => (a -> m (b, c)) -> [a] -> m ([b], [c]) Source #

The mapAndUnzipM function maps its first argument over a list, returning the result as a pair of lists. This function is mainly used with complicated data structures or a state-transforming monad.

mapAndUnzip3M :: Monad m => (a -> m (b, c, d)) -> [a] -> m ([b], [c], [d]) Source #

mapAndUnzipM for triples

mapAndUnzip4M :: Monad m => (a -> m (b, c, d, e)) -> [a] -> m ([b], [c], [d], [e]) Source #

mapAndUnzip5M :: Monad m => (a -> m (b, c, d, e, f)) -> [a] -> m ([b], [c], [d], [e], [f]) Source #

mapAccumLM Source #

Arguments

:: Monad m 
=> (acc -> x -> m (acc, y))

combining function

-> acc

initial state

-> [x]

inputs

-> m (acc, [y])

final state, outputs

Monadic version of mapAccumL

mapSndM :: Monad m => (b -> m c) -> [(a, b)] -> m [(a, c)] Source #

Monadic version of mapSnd

concatMapM :: Monad m => (a -> m [b]) -> [a] -> m [b] Source #

Monadic version of concatMap

mapMaybeM :: Monad m => (a -> m (Maybe b)) -> [a] -> m [b] Source #

Monadic version of mapMaybe

fmapMaybeM :: Monad m => (a -> m b) -> Maybe a -> m (Maybe b) Source #

Monadic version of fmap

fmapEitherM :: Monad m => (a -> m b) -> (c -> m d) -> Either a c -> m (Either b d) Source #

Monadic version of fmap

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

Monadic version of any, aborts the computation at the first True value

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

Monad version of all, aborts the computation at the first False value

orM :: Monad m => m Bool -> m Bool -> m Bool Source #

Monadic version of or

foldlM :: Monad m => (a -> b -> m a) -> a -> [b] -> m a Source #

Monadic version of foldl

foldlM_ :: Monad m => (a -> b -> m a) -> a -> [b] -> m () Source #

Monadic version of foldl that discards its result

foldrM :: Monad m => (b -> a -> m a) -> a -> [b] -> m a Source #

Monadic version of foldr

maybeMapM :: Monad m => (a -> m b) -> Maybe a -> m (Maybe b) Source #

Monadic version of fmap specialised for Maybe

whenM :: Monad m => m Bool -> m () -> m () Source #

Monadic version of when, taking the condition in the monad

unlessM :: Monad m => m Bool -> m () -> m () Source #

Monadic version of unless, taking the condition in the monad