adjunctions-4.2.1: Adjunctions and representable functors

Copyright(c) Edward Kmett 2011, (c) Conal Elliott 2008
LicenseBSD3
Maintainerekmett@gmail.com
Stabilityexperimental
Safe HaskellNone
LanguageHaskell98

Control.Monad.Representable.Reader

Contents

Description

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

Synopsis

Representable functor monad

runReader :: Representable f => Reader f b -> Rep f -> b Source

Monad Transformer

newtype ReaderT f m b Source

Constructors

ReaderT 

Fields

getReaderT :: f (m b)
 

Instances

(Representable f, MonadWriter w m) => MonadWriter w (ReaderT f m) 
Representable f => MonadTrans (ReaderT f) 
(Representable f, Monad m) => Monad (ReaderT f m) 
(Functor f, Functor m) => Functor (ReaderT f m) 
(Representable f, Applicative m) => Applicative (ReaderT f m) 
(Foldable f, Foldable m) => Foldable (ReaderT f m) 
(Traversable f, Traversable m) => Traversable (ReaderT f m) 
(Representable f, Distributive m) => Distributive (ReaderT f m) 
(Representable f, Representable m, Monoid (Rep f), Monoid (Rep m)) => Comonad (ReaderT f m) 
(Representable f, MonadIO m) => MonadIO (ReaderT f m) 
(Representable f, Apply m) => Apply (ReaderT f m) 
(Representable f, Representable m, Semigroup (Rep f), Semigroup (Rep m)) => Extend (ReaderT f m) 
(Representable f, Bind m) => Bind (ReaderT f m) 
(Traversable1 f, Traversable1 m) => Traversable1 (ReaderT f m) 
(Foldable1 f, Foldable1 m) => Foldable1 (ReaderT f m) 
(Representable f, Representable m) => Representable (ReaderT f m) 
type Rep (ReaderT f m) = (Rep f, Rep m) 

readerT :: Representable f => (Rep f -> m b) -> ReaderT f m b Source

runReaderT :: Representable f => ReaderT f m b -> Rep f -> m b Source

class Monad m => MonadReader r m | m -> r where

See examples in Control.Monad.Reader. Note, the partially applied function type (->) r is a simple reader monad. See the instance declaration below.

Minimal complete definition

ask, local

Methods

ask :: m r

Retrieves the monad environment.

local

Arguments

:: (r -> r)

The function to modify the environment.

-> m a

Reader to run in the modified environment.

-> m a 

Executes a computation in a modified environment.

reader

Arguments

:: (r -> a)

The selector function to apply to the environment.

-> m a 

Retrieves a function of the current environment.

Instances

(Representable f, (~) * (Rep f) a) => MonadReader a (Co f) 
MonadReader r m => MonadReader r (MaybeT m) 
MonadReader r m => MonadReader r (ListT m) 
MonadReader r m => MonadReader r (IdentityT m) 
MonadReader r ((->) r) 
(Functor m, MonadReader e m) => MonadReader e (Free m) 
(Monoid w, MonadReader r m) => MonadReader r (WriterT w m) 
(Monoid w, MonadReader r m) => MonadReader r (WriterT w m) 
MonadReader r m => MonadReader r (StateT s m) 
MonadReader r m => MonadReader r (StateT s m) 
Monad m => MonadReader r (ReaderT r m) 
(Error e, MonadReader r m) => MonadReader r (ErrorT e m) 
MonadReader r' m => MonadReader r' (ContT r m) 
(Representable g, MonadReader e m) => MonadReader e (StateT g m) 
(Monad m, Monoid w) => MonadReader r (RWST r w s m) 
(Monad m, Monoid w) => MonadReader r (RWST r w s m)