Control.Comonad.Trans.Identity

comonad-5.0.8: Comonads

Copyright | (C) 2008-2011 Edward Kmett
License | BSD-style (see the file LICENSE)
Maintainer | Edward Kmett <ekmett@gmail.com>
Stability | provisional
Portability | portable
Safe Haskell | Safe
Language | Haskell2010

Control.Comonad.Trans.Identity

Description

Synopsis

- newtype IdentityT (f :: k -> Type) (a :: k) = IdentityT {
  - runIdentityT :: f a
  }

# Documentation

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

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

Constructors

IdentityT |
Fields runIdentityT :: f a

#### Instances

Instances details

Generic1 (IdentityT f :: k -> Type) |
Instance details Defined in Control.Monad.Trans.Identity Associated Types
type Rep1 (IdentityT f :: k -> Type) |
Instance details Defined in Control.Monad.Trans.Identity type Rep1 (IdentityT f :: k -> Type) = D1 ('MetaData "IdentityT" "Control.Monad.Trans.Identity" "transformers-0.6.1.0-inplace" 'True) (C1 ('MetaCons "IdentityT" 'PrefixI 'True) (S1 ('MetaSel ('Just "runIdentityT") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 f)))
Methods from1 :: forall (a :: k). IdentityT f a -> Rep1 (IdentityT f) a # to1 :: forall (a :: k). Rep1 (IdentityT f) a -> IdentityT f a #
ComonadEnv e w => ComonadEnv e (IdentityT w) # |
Instance details Defined in Control.Comonad.Env.Class Methods ask :: IdentityT w a -> e #
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 #
ComonadTraced m w => ComonadTraced m (IdentityT w) # |
Instance details Defined in Control.Comonad.Traced.Class Methods trace :: m -> IdentityT w a -> a #
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 #
FunctorWithIndex i m => FunctorWithIndex i (IdentityT m) |
Instance details Defined in WithIndex Methods imap :: (i -> a -> b) -> IdentityT m a -> IdentityT m 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) #
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 #
MonadTrans (IdentityT :: (Type -> Type) -> Type -> Type) |
Instance details Defined in Control.Monad.Trans.Identity Methods lift :: Monad m => m a -> IdentityT m a #
MonadFail m => MonadFail (IdentityT m) |
Instance details Defined in Control.Monad.Trans.Identity Methods fail :: String -> 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 #
MonadIO m => MonadIO (IdentityT m) |
Instance details Defined in Control.Monad.Trans.Identity Methods liftIO :: IO a -> IdentityT m a #
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) #
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 #
Foldable1 m => Foldable1 (IdentityT m) |
Instance details Defined in Control.Monad.Trans.Identity Methods fold1 :: Semigroup m0 => IdentityT m m0 -> m0 # foldMap1 :: Semigroup m0 => (a -> m0) -> IdentityT m a -> m0 # foldMap1' :: Semigroup m0 => (a -> m0) -> IdentityT m a -> m0 # toNonEmpty :: IdentityT m a -> NonEmpty a # maximum :: Ord a => IdentityT m a -> a # minimum :: Ord a => IdentityT m a -> a # head :: IdentityT m a -> a # last :: IdentityT m a -> a # foldrMap1 :: (a -> b) -> (a -> b -> b) -> IdentityT m a -> b # foldlMap1' :: (a -> b) -> (b -> a -> b) -> IdentityT m a -> b # foldlMap1 :: (a -> b) -> (b -> a -> b) -> IdentityT m a -> b # foldrMap1' :: (a -> b) -> (a -> b -> b) -> IdentityT m a -> b #
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 #
Contravariant f => Contravariant (IdentityT f) |
Instance details Defined in Control.Monad.Trans.Identity Methods contramap :: (a' -> a) -> IdentityT f a -> IdentityT f a' # (>$) :: b -> IdentityT f b -> IdentityT f a #
Traversable f => Traversable (IdentityT f) |
Instance details Defined in Control.Monad.Trans.Identity Methods traverse :: Applicative f0 => (a -> f0 b) -> IdentityT f a -> f0 (IdentityT f b) # sequenceA :: Applicative f0 => IdentityT f (f0 a) -> f0 (IdentityT f a) # mapM :: Monad m => (a -> m b) -> IdentityT f a -> m (IdentityT f b) # sequence :: Monad m => IdentityT f (m a) -> m (IdentityT f a) #
Alternative m => Alternative (IdentityT m) |
Instance details Defined in Control.Monad.Trans.Identity Methods empty :: IdentityT m a # (<|>) :: IdentityT m a -> IdentityT m a -> IdentityT m a # some :: IdentityT m a -> IdentityT m [a] # many :: IdentityT m a -> IdentityT m [a] #
Applicative m => Applicative (IdentityT m) |
Instance details Defined in Control.Monad.Trans.Identity Methods pure :: a -> IdentityT m a # (<*>) :: IdentityT m (a -> b) -> IdentityT m a -> IdentityT m b # liftA2 :: (a -> b -> c) -> IdentityT m a -> IdentityT m b -> IdentityT m c # (*>) :: IdentityT m a -> IdentityT m b -> IdentityT m b # (<*) :: IdentityT m a -> IdentityT m b -> IdentityT m a #
Functor m => Functor (IdentityT m) |
Instance details Defined in Control.Monad.Trans.Identity Methods fmap :: (a -> b) -> IdentityT m a -> IdentityT m b # (<$) :: a -> IdentityT m b -> IdentityT m a #
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 #
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 #
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 #
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 #
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) #
Generic (IdentityT f a) |
Instance details Defined in Control.Monad.Trans.Identity Associated Types
type Rep (IdentityT f a) |
Instance details Defined in Control.Monad.Trans.Identity type Rep (IdentityT f a) = D1 ('MetaData "IdentityT" "Control.Monad.Trans.Identity" "transformers-0.6.1.0-inplace" 'True) (C1 ('MetaCons "IdentityT" 'PrefixI 'True) (S1 ('MetaSel ('Just "runIdentityT") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f a))))
Methods from :: IdentityT f a -> Rep (IdentityT f a) x # to :: Rep (IdentityT f a) x -> IdentityT f a #
(Read1 f, Read a) => Read (IdentityT f a) |
Instance details 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) |
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 #
(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 #
type Rep1 (IdentityT f :: k -> Type) |
Instance details Defined in Control.Monad.Trans.Identity type Rep1 (IdentityT f :: k -> Type) = D1 ('MetaData "IdentityT" "Control.Monad.Trans.Identity" "transformers-0.6.1.0-inplace" 'True) (C1 ('MetaCons "IdentityT" 'PrefixI 'True) (S1 ('MetaSel ('Just "runIdentityT") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec1 f)))
type Rep (IdentityT f a) |
Instance details Defined in Control.Monad.Trans.Identity type Rep (IdentityT f a) = D1 ('MetaData "IdentityT" "Control.Monad.Trans.Identity" "transformers-0.6.1.0-inplace" 'True) (C1 ('MetaCons "IdentityT" 'PrefixI 'True) (S1 ('MetaSel ('Just "runIdentityT") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (f a))))