comonad-5.0.8: Comonads
Copyright(C) 2008-2011 Edward Kmett
LicenseBSD-style (see the file LICENSE)
MaintainerEdward Kmett <ekmett@gmail.com>
Stabilityprovisional
Portabilityportable
Safe HaskellSafe
LanguageHaskell2010

Control.Comonad.Trans.Identity

Description

 
Synopsis

Documentation

newtype IdentityT (f :: k -> Type) (a :: k) #

The trivial monad transformer, which maps a monad to an equivalent monad.

Constructors

IdentityT 

Fields

Instances

Instances details
FunctorWithIndex i m => FunctorWithIndex i (IdentityT m) 
Instance details

Defined in WithIndex

Methods

imap :: (i -> a -> b) -> IdentityT m a -> IdentityT m b #

FoldableWithIndex i m => FoldableWithIndex i (IdentityT m) 
Instance details

Defined in WithIndex

Methods

ifoldMap :: Monoid m0 => (i -> a -> m0) -> IdentityT m a -> m0 #

ifoldMap' :: Monoid m0 => (i -> a -> m0) -> IdentityT m a -> m0 #

ifoldr :: (i -> a -> b -> b) -> b -> IdentityT m a -> b #

ifoldl :: (i -> b -> a -> b) -> b -> IdentityT m a -> b #

ifoldr' :: (i -> a -> b -> b) -> b -> IdentityT m a -> b #

ifoldl' :: (i -> b -> a -> b) -> b -> IdentityT m a -> b #

TraversableWithIndex i m => TraversableWithIndex i (IdentityT m) 
Instance details

Defined in WithIndex

Methods

itraverse :: Applicative f => (i -> a -> f b) -> IdentityT m a -> f (IdentityT m b) #

ComonadTraced m w => ComonadTraced m (IdentityT w) # 
Instance details

Defined in Control.Comonad.Traced.Class

Methods

trace :: m -> IdentityT w a -> a #

ComonadStore s w => ComonadStore s (IdentityT w) # 
Instance details

Defined in Control.Comonad.Store.Class

Methods

pos :: IdentityT w a -> s #

peek :: s -> IdentityT w a -> a #

peeks :: (s -> s) -> IdentityT w a -> a #

seek :: s -> IdentityT w a -> IdentityT w a #

seeks :: (s -> s) -> IdentityT w a -> IdentityT w a #

experiment :: Functor f => (s -> f s) -> IdentityT w a -> f a #

ComonadEnv e w => ComonadEnv e (IdentityT w) # 
Instance details

Defined in Control.Comonad.Env.Class

Methods

ask :: IdentityT w a -> e #

MonadTrans (IdentityT :: (Type -> Type) -> Type -> Type) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

lift :: Monad m => m a -> IdentityT m a #

ComonadHoist (IdentityT :: (Type -> Type) -> Type -> Type) # 
Instance details

Defined in Control.Comonad.Hoist.Class

Methods

cohoist :: (Comonad w, Comonad v) => (forall x. w x -> v x) -> IdentityT w a -> IdentityT v a #

ComonadTrans (IdentityT :: (Type -> Type) -> Type -> Type) # 
Instance details

Defined in Control.Comonad.Trans.Class

Methods

lower :: Comonad w => IdentityT w a -> w a #

Monad m => Monad (IdentityT m) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

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

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

return :: a -> IdentityT m a #

Functor m => Functor (IdentityT m) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

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

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

MonadFix m => MonadFix (IdentityT m) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

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

MonadFail m => MonadFail (IdentityT m) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

fail :: String -> IdentityT m a #

Applicative m => Applicative (IdentityT m) 
Instance details

Defined in Control.Monad.Trans.Identity

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 #

Foldable f => Foldable (IdentityT f) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

fold :: Monoid m => IdentityT f m -> m #

foldMap :: Monoid m => (a -> m) -> IdentityT f a -> m #

foldMap' :: Monoid m => (a -> m) -> IdentityT f a -> m #

foldr :: (a -> b -> b) -> b -> IdentityT f a -> b #

foldr' :: (a -> b -> b) -> b -> IdentityT f a -> b #

foldl :: (b -> a -> b) -> b -> IdentityT f a -> b #

foldl' :: (b -> a -> b) -> b -> IdentityT f a -> b #

foldr1 :: (a -> a -> a) -> IdentityT f a -> a #

foldl1 :: (a -> a -> a) -> IdentityT f a -> a #

toList :: IdentityT f a -> [a] #

null :: IdentityT f a -> Bool #

length :: IdentityT f a -> Int #

elem :: Eq a => a -> IdentityT f a -> Bool #

maximum :: Ord a => IdentityT f a -> a #

minimum :: Ord a => IdentityT f a -> a #

sum :: Num a => IdentityT f a -> a #

product :: Num a => IdentityT f a -> a #

Traversable f => Traversable (IdentityT f) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

traverse :: Applicative f0 => (a -> f0 b) -> IdentityT f a -> f0 (IdentityT f b) #

sequenceA :: Applicative f0 => IdentityT f (f0 a) -> f0 (IdentityT f a) #

mapM :: Monad m => (a -> m b) -> IdentityT f a -> m (IdentityT f b) #

sequence :: Monad m => IdentityT f (m a) -> m (IdentityT f a) #

Contravariant f => Contravariant (IdentityT f) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

contramap :: (a -> b) -> IdentityT f b -> IdentityT f a #

(>$) :: b -> IdentityT f b -> IdentityT f a #

Eq1 f => Eq1 (IdentityT f) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

liftEq :: (a -> b -> Bool) -> IdentityT f a -> IdentityT f b -> Bool #

Ord1 f => Ord1 (IdentityT f) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

liftCompare :: (a -> b -> Ordering) -> IdentityT f a -> IdentityT f b -> Ordering #

Read1 f => Read1 (IdentityT f) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (IdentityT f a) #

liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [IdentityT f a] #

liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (IdentityT f a) #

liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [IdentityT f a] #

Show1 f => Show1 (IdentityT f) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> IdentityT f a -> ShowS #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [IdentityT f a] -> ShowS #

MonadZip m => MonadZip (IdentityT m) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

mzip :: IdentityT m a -> IdentityT m b -> IdentityT m (a, b) #

mzipWith :: (a -> b -> c) -> IdentityT m a -> IdentityT m b -> IdentityT m c #

munzip :: IdentityT m (a, b) -> (IdentityT m a, IdentityT m b) #

MonadIO m => MonadIO (IdentityT m) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

liftIO :: IO a -> IdentityT m a #

Alternative m => Alternative (IdentityT m) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

empty :: IdentityT m a #

(<|>) :: IdentityT m a -> IdentityT m a -> IdentityT m a #

some :: IdentityT m a -> IdentityT m [a] #

many :: IdentityT m a -> IdentityT m [a] #

MonadPlus m => MonadPlus (IdentityT m) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

mzero :: IdentityT m a #

mplus :: IdentityT m a -> IdentityT m a -> IdentityT m a #

Distributive g => Distributive (IdentityT g) 
Instance details

Defined in Data.Distributive

Methods

distribute :: Functor f => f (IdentityT g a) -> IdentityT g (f a) #

collect :: Functor f => (a -> IdentityT g b) -> f a -> IdentityT g (f b) #

distributeM :: Monad m => m (IdentityT g a) -> IdentityT g (m a) #

collectM :: Monad m => (a -> IdentityT g b) -> m a -> IdentityT g (m b) #

ComonadApply w => ComonadApply (IdentityT w) # 
Instance details

Defined in Control.Comonad

Methods

(<@>) :: IdentityT w (a -> b) -> IdentityT w a -> IdentityT w b #

(@>) :: IdentityT w a -> IdentityT w b -> IdentityT w b #

(<@) :: IdentityT w a -> IdentityT w b -> IdentityT w a #

Comonad w => Comonad (IdentityT w) # 
Instance details

Defined in Control.Comonad

Methods

extract :: IdentityT w a -> a #

duplicate :: IdentityT w a -> IdentityT w (IdentityT w a) #

extend :: (IdentityT w a -> b) -> IdentityT w a -> IdentityT w b #

(Eq1 f, Eq a) => Eq (IdentityT f a) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

(==) :: IdentityT f a -> IdentityT f a -> Bool #

(/=) :: IdentityT f a -> IdentityT f a -> Bool #

(Ord1 f, Ord a) => Ord (IdentityT f a) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

compare :: IdentityT f a -> IdentityT f a -> Ordering #

(<) :: IdentityT f a -> IdentityT f a -> Bool #

(<=) :: IdentityT f a -> IdentityT f a -> Bool #

(>) :: IdentityT f a -> IdentityT f a -> Bool #

(>=) :: IdentityT f a -> IdentityT f a -> Bool #

max :: IdentityT f a -> IdentityT f a -> IdentityT f a #

min :: IdentityT f a -> IdentityT f a -> IdentityT f a #

(Read1 f, Read a) => Read (IdentityT f a) 
Instance details

Defined in Control.Monad.Trans.Identity

(Show1 f, Show a) => Show (IdentityT f a) 
Instance details

Defined in Control.Monad.Trans.Identity

Methods

showsPrec :: Int -> IdentityT f a -> ShowS #

show :: IdentityT f a -> String #

showList :: [IdentityT f a] -> ShowS #