Copyright	(c) Edward Kmett 2011 (c) Conal Elliott 2008
License	BSD3
Maintainer	ekmett@gmail.com
Stability	experimental
Safe Haskell	Safe-Inferred
Language	Haskell2010

Control.Monad.Representable.Reader

Contents

Representable functor monad
Monad Transformer

Description

Representable functors on Hask are all monads, because they are isomorphic to a Reader monad.

Synopsis

type Reader (f :: Type -> Type) = ReaderT f Identity
runReader :: forall (f :: Type -> Type) b. Representable f => Reader f b -> Rep f -> b
newtype ReaderT (f :: Type -> Type) (m :: Type -> Type) b = ReaderT {
- getReaderT :: f (m b)
}
readerT :: forall (f :: Type -> Type) m b. Representable f => (Rep f -> m b) -> ReaderT f m b
runReaderT :: forall (f :: Type -> Type) m b. Representable f => ReaderT f m b -> Rep f -> m b
class Monad m => MonadReader r (m :: Type -> Type) | m -> r where
- ask :: m r
- local :: (r -> r) -> m a -> m a
- reader :: (r -> a) -> m a
module Data.Functor.Rep

Representable functor monad

type Reader (f :: Type -> Type) = ReaderT f Identity Source #

runReader :: forall (f :: Type -> Type) b. Representable f => Reader f b -> Rep f -> b Source #

Monad Transformer

newtype ReaderT (f :: Type -> Type) (m :: Type -> Type) b Source #

Constructors

ReaderT
Fields getReaderT :: f (m b)

Instances

Instances details

(Representable f, Monad m, Rep f ~ e) => MonadReader e (ReaderT f m) Source #

Instance details

Defined in Control.Monad.Representable.Reader

Methods

ask :: ReaderT f m e #

local :: (e -> e) -> ReaderT f m a -> ReaderT f m a #

reader :: (e -> a) -> ReaderT f m a #

(Representable f, MonadWriter w m) => MonadWriter w (ReaderT f m) Source #

Instance details

Defined in Control.Monad.Representable.Reader

Methods

writer :: (a, w) -> ReaderT f m a

tell :: w -> ReaderT f m ()

listen :: ReaderT f m a -> ReaderT f m (a, w)

pass :: ReaderT f m (a, w -> w) -> ReaderT f m a

Representable f => MonadTrans (ReaderT f) Source #

Instance details

Defined in Control.Monad.Representable.Reader

Methods

lift :: Monad m => m a -> ReaderT f m a

(Representable f, Representable m) => Representable (ReaderT f m) Source #

Instance details

Defined in Control.Monad.Representable.Reader

Associated Types

type Rep (ReaderT f m)
Instance details Defined in Control.Monad.Representable.Reader type Rep (ReaderT f m) = (Rep f, Rep m)

Methods

tabulate :: (Rep (ReaderT f m) -> a) -> ReaderT f m a Source #

index :: ReaderT f m a -> Rep (ReaderT f m) -> a Source #

(Foldable1 f, Foldable1 m) => Foldable1 (ReaderT f m) Source #

Instance details

Defined in Control.Monad.Representable.Reader

Methods

fold1 :: Semigroup m0 => ReaderT f m m0 -> m0

foldMap1 :: Semigroup m0 => (a -> m0) -> ReaderT f m a -> m0

foldMap1' :: Semigroup m0 => (a -> m0) -> ReaderT f m a -> m0

toNonEmpty :: ReaderT f m a -> NonEmpty a

maximum :: Ord a => ReaderT f m a -> a

minimum :: Ord a => ReaderT f m a -> a

head :: ReaderT f m a -> a

last :: ReaderT f m a -> a

foldrMap1 :: (a -> b) -> (a -> b -> b) -> ReaderT f m a -> b

foldlMap1' :: (a -> b) -> (b -> a -> b) -> ReaderT f m a -> b

foldlMap1 :: (a -> b) -> (b -> a -> b) -> ReaderT f m a -> b

foldrMap1' :: (a -> b) -> (a -> b -> b) -> ReaderT f m a -> b

(Representable f, Representable m, Monoid (Rep f), Monoid (Rep m)) => Comonad (ReaderT f m) Source #

Instance details

Defined in Control.Monad.Representable.Reader

Methods

extract :: ReaderT f m a -> a

duplicate :: ReaderT f m a -> ReaderT f m (ReaderT f m a)

extend :: (ReaderT f m a -> b) -> ReaderT f m a -> ReaderT f m b

(Representable f, Distributive m) => Distributive (ReaderT f m) Source #

Instance details

Defined in Control.Monad.Representable.Reader

Methods

distribute :: Functor f0 => f0 (ReaderT f m a) -> ReaderT f m (f0 a)

collect :: Functor f0 => (a -> ReaderT f m b) -> f0 a -> ReaderT f m (f0 b)

distributeM :: Monad m0 => m0 (ReaderT f m a) -> ReaderT f m (m0 a)

collectM :: Monad m0 => (a -> ReaderT f m b) -> m0 a -> ReaderT f m (m0 b)

(Representable f, Applicative m) => Applicative (ReaderT f m) Source #

Instance details

Defined in Control.Monad.Representable.Reader

Methods

pure :: a -> ReaderT f m a

(<*>) :: ReaderT f m (a -> b) -> ReaderT f m a -> ReaderT f m b

liftA2 :: (a -> b -> c) -> ReaderT f m a -> ReaderT f m b -> ReaderT f m c

(*>) :: ReaderT f m a -> ReaderT f m b -> ReaderT f m b

(<*) :: ReaderT f m a -> ReaderT f m b -> ReaderT f m a

(Functor f, Functor m) => Functor (ReaderT f m) Source #

Instance details

Defined in Control.Monad.Representable.Reader

Methods

fmap :: (a -> b) -> ReaderT f m a -> ReaderT f m b

(<$) :: a -> ReaderT f m b -> ReaderT f m a

(Representable f, Monad m) => Monad (ReaderT f m) Source #

Instance details

Defined in Control.Monad.Representable.Reader

Methods

(>>=) :: ReaderT f m a -> (a -> ReaderT f m b) -> ReaderT f m b

(>>) :: ReaderT f m a -> ReaderT f m b -> ReaderT f m b

return :: a -> ReaderT f m a

(Representable f, MonadIO m) => MonadIO (ReaderT f m) Source #

Instance details

Defined in Control.Monad.Representable.Reader

Methods

liftIO :: IO a -> ReaderT f m a

(Foldable f, Foldable m) => Foldable (ReaderT f m) Source #

Instance details

Defined in Control.Monad.Representable.Reader

Methods

fold :: Monoid m0 => ReaderT f m m0 -> m0

foldMap :: Monoid m0 => (a -> m0) -> ReaderT f m a -> m0

foldMap' :: Monoid m0 => (a -> m0) -> ReaderT f m a -> m0

foldr :: (a -> b -> b) -> b -> ReaderT f m a -> b

foldr' :: (a -> b -> b) -> b -> ReaderT f m a -> b

foldl :: (b -> a -> b) -> b -> ReaderT f m a -> b

foldl' :: (b -> a -> b) -> b -> ReaderT f m a -> b

foldr1 :: (a -> a -> a) -> ReaderT f m a -> a

foldl1 :: (a -> a -> a) -> ReaderT f m a -> a

toList :: ReaderT f m a -> [a]

null :: ReaderT f m a -> Bool

length :: ReaderT f m a -> Int

elem :: Eq a => a -> ReaderT f m a -> Bool

maximum :: Ord a => ReaderT f m a -> a

minimum :: Ord a => ReaderT f m a -> a

sum :: Num a => ReaderT f m a -> a

product :: Num a => ReaderT f m a -> a

(Traversable f, Traversable m) => Traversable (ReaderT f m) Source #

Instance details

Defined in Control.Monad.Representable.Reader

Methods

traverse :: Applicative f0 => (a -> f0 b) -> ReaderT f m a -> f0 (ReaderT f m b)

sequenceA :: Applicative f0 => ReaderT f m (f0 a) -> f0 (ReaderT f m a)

mapM :: Monad m0 => (a -> m0 b) -> ReaderT f m a -> m0 (ReaderT f m b)

sequence :: Monad m0 => ReaderT f m (m0 a) -> m0 (ReaderT f m a)

(Representable f, Apply m) => Apply (ReaderT f m) Source #

Instance details

Defined in Control.Monad.Representable.Reader

Methods

(<.>) :: ReaderT f m (a -> b) -> ReaderT f m a -> ReaderT f m b

(.>) :: ReaderT f m a -> ReaderT f m b -> ReaderT f m b

(<.) :: ReaderT f m a -> ReaderT f m b -> ReaderT f m a

liftF2 :: (a -> b -> c) -> ReaderT f m a -> ReaderT f m b -> ReaderT f m c

(Representable f, Bind m) => Bind (ReaderT f m) Source #

Instance details

Defined in Control.Monad.Representable.Reader

Methods

(>>-) :: ReaderT f m a -> (a -> ReaderT f m b) -> ReaderT f m b

join :: ReaderT f m (ReaderT f m a) -> ReaderT f m a

(Representable f, Representable m, Semigroup (Rep f), Semigroup (Rep m)) => Extend (ReaderT f m) Source #

Instance details

Defined in Control.Monad.Representable.Reader

Methods

duplicated :: ReaderT f m a -> ReaderT f m (ReaderT f m a)

extended :: (ReaderT f m a -> b) -> ReaderT f m a -> ReaderT f m b

(Traversable1 f, Traversable1 m) => Traversable1 (ReaderT f m) Source #

Instance details

Defined in Control.Monad.Representable.Reader

Methods

traverse1 :: Apply f0 => (a -> f0 b) -> ReaderT f m a -> f0 (ReaderT f m b)

sequence1 :: Apply f0 => ReaderT f m (f0 b) -> f0 (ReaderT f m b)

type Rep (ReaderT f m) Source #

Instance details

Defined in Control.Monad.Representable.Reader

type Rep (ReaderT f m) = (Rep f, Rep m)

readerT :: forall (f :: Type -> Type) m b. Representable f => (Rep f -> m b) -> ReaderT f m b Source #

runReaderT :: forall (f :: Type -> Type) m b. Representable f => ReaderT f m b -> Rep f -> m b Source #

class Monad m => MonadReader r (m :: Type -> Type) | m -> r where #

Minimal complete definition

(ask | reader), local

Methods

ask :: m r #

local :: (r -> r) -> m a -> m a #

reader :: (r -> a) -> m a #

Instances

Instances details

(Representable f, Rep f ~ a) => MonadReader a (Co f) Source #
Instance details Defined in Data.Functor.Rep Methods ask :: Co f a # local :: (a -> a) -> Co f a0 -> Co f a0 # reader :: (a -> a0) -> Co f a0 #
MonadReader e m => MonadReader e (Free m) #
Instance details Defined in Control.Monad.Free Methods ask :: Free m e # local :: (e -> e) -> Free m a -> Free m a # reader :: (e -> a) -> Free m a #
MonadReader e m => MonadReader e (Free m) #
Instance details Defined in Control.Monad.Free.Ap Methods ask :: Free m e # local :: (e -> e) -> Free m a -> Free m a # reader :: (e -> a) -> Free m a #
MonadReader e m => MonadReader e (F m) #
Instance details Defined in Control.Monad.Free.Church Methods ask :: F m e # local :: (e -> e) -> F m a -> F m a # reader :: (e -> a) -> F m a #
MonadReader e m => MonadReader e (IterT m) #
Instance details Defined in Control.Monad.Trans.Iter Methods ask :: IterT m e # local :: (e -> e) -> IterT m a -> IterT m a # reader :: (e -> a) -> IterT m a #
MonadReader r m => MonadReader r (MaybeT m) #
Instance details Defined in Control.Monad.Reader.Class Methods ask :: MaybeT m r # local :: (r -> r) -> MaybeT m a -> MaybeT m a # reader :: (r -> a) -> MaybeT m a #
(Representable f, Monad m, Rep f ~ e) => MonadReader e (ReaderT f m) Source #
Instance details Defined in Control.Monad.Representable.Reader Methods ask :: ReaderT f m e # local :: (e -> e) -> ReaderT f m a -> ReaderT f m a # reader :: (e -> a) -> ReaderT f m a #
(Representable g, MonadReader e m) => MonadReader e (StateT g m) Source #
Instance details Defined in Control.Monad.Representable.State Methods ask :: StateT g m e # local :: (e -> e) -> StateT g m a -> StateT g m a # reader :: (e -> a) -> StateT g m a #
(Functor f, MonadReader r m) => MonadReader r (FreeT f m) #
Instance details Defined in Control.Monad.Trans.Free Methods ask :: FreeT f m r # local :: (r -> r) -> FreeT f m a -> FreeT f m a # reader :: (r -> a) -> FreeT f m a #
(Applicative f, MonadReader r m) => MonadReader r (FreeT f m) #
Instance details Defined in Control.Monad.Trans.Free.Ap Methods ask :: FreeT f m r # local :: (r -> r) -> FreeT f m a -> FreeT f m a # reader :: (r -> a) -> FreeT f m a #
MonadReader r m => MonadReader r (FT f m) #
Instance details Defined in Control.Monad.Trans.Free.Church Methods ask :: FT f m r # local :: (r -> r) -> FT f m a -> FT f m a # reader :: (r -> a) -> FT f m a #
(Monoid w, MonadReader r m) => MonadReader r (AccumT w m) #
Instance details Defined in Control.Monad.Reader.Class Methods ask :: AccumT w m r # local :: (r -> r) -> AccumT w m a -> AccumT w m a # reader :: (r -> a) -> AccumT w m a #
MonadReader r m => MonadReader r (ExceptT e m) #
Instance details Defined in Control.Monad.Reader.Class Methods ask :: ExceptT e m r # local :: (r -> r) -> ExceptT e m a -> ExceptT e m a # reader :: (r -> a) -> ExceptT e m a #
MonadReader r m => MonadReader r (IdentityT m) #
Instance details Defined in Control.Monad.Reader.Class Methods ask :: IdentityT m r # local :: (r -> r) -> IdentityT m a -> IdentityT m a # reader :: (r -> a) -> IdentityT m a #
Monad m => MonadReader r (ReaderT r m) #
Instance details Defined in Control.Monad.Reader.Class Methods ask :: ReaderT r m r # local :: (r -> r) -> ReaderT r m a -> ReaderT r m a # reader :: (r -> a) -> ReaderT r m a #
MonadReader r m => MonadReader r (StateT s m) #
Instance details Defined in Control.Monad.Reader.Class Methods ask :: StateT s m r # local :: (r -> r) -> StateT s m a -> StateT s m a # reader :: (r -> a) -> StateT s m a #
MonadReader r m => MonadReader r (StateT s m) #
Instance details Defined in Control.Monad.Reader.Class Methods ask :: StateT s m r # local :: (r -> r) -> StateT s m a -> StateT s m a # reader :: (r -> a) -> StateT s m a #
(Monoid w, MonadReader r m) => MonadReader r (WriterT w m) #
Instance details Defined in Control.Monad.Reader.Class Methods ask :: WriterT w m r # local :: (r -> r) -> WriterT w m a -> WriterT w m a # reader :: (r -> a) -> WriterT w m a #
(Monoid w, MonadReader r m) => MonadReader r (WriterT w m) #
Instance details Defined in Control.Monad.Reader.Class Methods ask :: WriterT w m r # local :: (r -> r) -> WriterT w m a -> WriterT w m a # reader :: (r -> a) -> WriterT w m a #
(Monoid w, MonadReader r m) => MonadReader r (WriterT w m) #
Instance details Defined in Control.Monad.Reader.Class Methods ask :: WriterT w m r # local :: (r -> r) -> WriterT w m a -> WriterT w m a # reader :: (r -> a) -> WriterT w m a #
MonadReader r' m => MonadReader r' (SelectT r m) #
Instance details Defined in Control.Monad.Reader.Class Methods ask :: SelectT r m r' # local :: (r' -> r') -> SelectT r m a -> SelectT r m a # reader :: (r' -> a) -> SelectT r m a #
MonadReader r ((->) r) #
Instance details Defined in Control.Monad.Reader.Class Methods ask :: r -> r # local :: (r -> r) -> (r -> a) -> r -> a # reader :: (r -> a) -> r -> a #
MonadReader r' m => MonadReader r' (ContT r m) #
Instance details Defined in Control.Monad.Reader.Class Methods ask :: ContT r m r' # local :: (r' -> r') -> ContT r m a -> ContT r m a # reader :: (r' -> a) -> ContT r m a #
(Monad m, Monoid w) => MonadReader r (RWST r w s m) #
Instance details Defined in Control.Monad.Reader.Class Methods ask :: RWST r w s m r # local :: (r -> r) -> RWST r w s m a -> RWST r w s m a # reader :: (r -> a) -> RWST r w s m a #
(Monad m, Monoid w) => MonadReader r (RWST r w s m) #
Instance details Defined in Control.Monad.Reader.Class Methods ask :: RWST r w s m r # local :: (r -> r) -> RWST r w s m a -> RWST r w s m a # reader :: (r -> a) -> RWST r w s m a #
(Monad m, Monoid w) => MonadReader r (RWST r w s m) #
Instance details Defined in Control.Monad.Reader.Class Methods ask :: RWST r w s m r # local :: (r -> r) -> RWST r w s m a -> RWST r w s m a # reader :: (r -> a) -> RWST r w s m a #

module Data.Functor.Rep