Control.Comonad.Trans.Identity

Documentation

newtype IdentityT (f :: k -> Type) (a :: k) :: forall k. (k -> Type) -> k -> Type

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

Constructors

IdentityT

Fields

• runIdentityT :: f a

Instances

ComonadTraced m w => ComonadTraced m (IdentityT w)

Defined in Control.Comonad.Traced.Class

Methods

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

ComonadStore s w => ComonadStore s (IdentityT w)

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)

Defined in Control.Comonad.Env.Class

Methods

ask :: IdentityT w a -> e

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

Defined in Control.Monad.Trans.Identity

Methods

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

ComonadHoist (IdentityT :: (Type -> Type) -> Type -> Type)

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)

Defined in Control.Comonad.Trans.Class

Methods

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

Monad m => Monad (IdentityT m)

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

fail :: String -> IdentityT m a

Functor m => Functor (IdentityT m)

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)

Defined in Control.Monad.Trans.Identity

Methods

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

MonadFail m => MonadFail (IdentityT m)

Defined in Control.Monad.Trans.Identity

Methods

fail :: String -> IdentityT m a

Applicative m => Applicative (IdentityT m)

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)

Defined in Control.Monad.Trans.Identity

Methods

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

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)

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)

Defined in Control.Monad.Trans.Identity

Methods

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

Ord1 f => Ord1 (IdentityT f)

Defined in Control.Monad.Trans.Identity

Methods

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

Read1 f => Read1 (IdentityT f)

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)

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)

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)

Defined in Control.Monad.Trans.Identity

Methods

liftIO :: IO a -> IdentityT m a

Alternative m => Alternative (IdentityT m)

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)

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)

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)

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)

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)

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)

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)

Defined in Control.Monad.Trans.Identity

Methods

readsPrec :: Int -> ReadS (IdentityT f a)

readList :: ReadS [IdentityT f a]

readPrec :: ReadPrec (IdentityT f a)

readListPrec :: ReadPrec [IdentityT f a]

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

Defined in Control.Monad.Trans.Identity

Methods

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

show :: IdentityT f a -> String

showList :: [IdentityT f a] -> ShowS