mtl-1.1.0.0: Control/Monad/Reader.hs
{-# OPTIONS -fallow-undecidable-instances #-}
{- |
Module : Control.Monad.Reader
Copyright : (c) Andy Gill 2001,
(c) Oregon Graduate Institute of Science and Technology 2001,
(c) Jeff Newbern 2003-2007,
(c) Andriy Palamarchuk 2007
License : BSD-style (see the file libraries/base/LICENSE)
Maintainer : libraries@haskell.org
Stability : experimental
Portability : non-portable (multi-param classes, functional dependencies)
[Computation type:] Computations which read values from a shared environment.
[Binding strategy:] Monad values are functions from the environment to a value.
The bound function is applied to the bound value, and both have access
to the shared environment.
[Useful for:] Maintaining variable bindings, or other shared environment.
[Zero and plus:] None.
[Example type:] @'Reader' [(String,Value)] a@
The 'Reader' monad (also called the Environment monad).
Represents a computation, which can read values from
a shared environment, pass values from function to function,
and execute sub-computations in a modified environment.
Using 'Reader' monad for such computations is often clearer and easier
than using the 'Control.Monad.State.State' monad.
Inspired by the paper
/Functional Programming with Overloading and
Higher-Order Polymorphism/,
Mark P Jones (<http://www.cse.ogi.edu/~mpj/>)
Advanced School of Functional Programming, 1995.
-}
module Control.Monad.Reader (
module Control.Monad.Reader.Class,
Reader(..),
mapReader,
withReader,
ReaderT(..),
mapReaderT,
withReaderT,
module Control.Monad,
module Control.Monad.Fix,
module Control.Monad.Trans,
-- * Example 1: Simple Reader Usage
-- $simpleReaderExample
-- * Example 2: Modifying Reader Content With @local@
-- $localExample
-- * Example 3: @ReaderT@ Monad Transformer
-- $ReaderTExample
) where
import Control.Monad
import Control.Monad.Cont.Class
import Control.Monad.Error.Class
import Control.Monad.Fix
import Control.Monad.Instances ()
import Control.Monad.Reader.Class
import Control.Monad.State.Class
import Control.Monad.Trans
import Control.Monad.Writer.Class
-- ----------------------------------------------------------------------------
-- The partially applied function type is a simple reader monad
instance MonadReader r ((->) r) where
ask = id
local f m = m . f
{- |
The parameterizable reader monad.
The @return@ function creates a @Reader@ that ignores the environment,
and produces the given value.
The binding operator @>>=@ produces a @Reader@ that uses the environment
to extract the value its left-hand side,
and then applies the bound function to that value in the same environment.
-}
newtype Reader r a = Reader {
{- |
Runs @Reader@ and extracts the final value from it.
To extract the value apply @(runReader reader)@ to an environment value.
Parameters:
* A @Reader@ to run.
* An initial environment.
-}
runReader :: r -> a
}
mapReader :: (a -> b) -> Reader r a -> Reader r b
mapReader f m = Reader $ f . runReader m
-- | A more general version of 'local'.
withReader :: (r' -> r) -> Reader r a -> Reader r' a
withReader f m = Reader $ runReader m . f
instance Functor (Reader r) where
fmap f m = Reader $ \r -> f (runReader m r)
instance Monad (Reader r) where
return a = Reader $ \_ -> a
m >>= k = Reader $ \r -> runReader (k (runReader m r)) r
instance MonadFix (Reader r) where
mfix f = Reader $ \r -> let a = runReader (f a) r in a
instance MonadReader r (Reader r) where
ask = Reader id
local f m = Reader $ runReader m . f
{- |
The reader monad transformer.
Can be used to add environment reading functionality to other monads.
-}
newtype ReaderT r m a = ReaderT { runReaderT :: r -> m a }
mapReaderT :: (m a -> n b) -> ReaderT w m a -> ReaderT w n b
mapReaderT f m = ReaderT $ f . runReaderT m
withReaderT :: (r' -> r) -> ReaderT r m a -> ReaderT r' m a
withReaderT f m = ReaderT $ runReaderT m . f
instance (Monad m) => Functor (ReaderT r m) where
fmap f m = ReaderT $ \r -> do
a <- runReaderT m r
return (f a)
instance (Monad m) => Monad (ReaderT r m) where
return a = ReaderT $ \_ -> return a
m >>= k = ReaderT $ \r -> do
a <- runReaderT m r
runReaderT (k a) r
fail msg = ReaderT $ \_ -> fail msg
instance (MonadPlus m) => MonadPlus (ReaderT r m) where
mzero = ReaderT $ \_ -> mzero
m `mplus` n = ReaderT $ \r -> runReaderT m r `mplus` runReaderT n r
instance (MonadFix m) => MonadFix (ReaderT r m) where
mfix f = ReaderT $ \r -> mfix $ \a -> runReaderT (f a) r
instance (Monad m) => MonadReader r (ReaderT r m) where
ask = ReaderT return
local f m = ReaderT $ \r -> runReaderT m (f r)
-- ---------------------------------------------------------------------------
-- Instances for other mtl transformers
instance MonadTrans (ReaderT r) where
lift m = ReaderT $ \_ -> m
instance (MonadIO m) => MonadIO (ReaderT r m) where
liftIO = lift . liftIO
instance (MonadCont m) => MonadCont (ReaderT r m) where
callCC f = ReaderT $ \r ->
callCC $ \c ->
runReaderT (f (\a -> ReaderT $ \_ -> c a)) r
instance (MonadError e m) => MonadError e (ReaderT r m) where
throwError = lift . throwError
m `catchError` h = ReaderT $ \r -> runReaderT m r
`catchError` \e -> runReaderT (h e) r
-- Needs -fallow-undecidable-instances
instance (MonadState s m) => MonadState s (ReaderT r m) where
get = lift get
put = lift . put
-- This instance needs -fallow-undecidable-instances, because
-- it does not satisfy the coverage condition
instance (MonadWriter w m) => MonadWriter w (ReaderT r m) where
tell = lift . tell
listen m = ReaderT $ \w -> listen (runReaderT m w)
pass m = ReaderT $ \w -> pass (runReaderT m w)
{- $simpleReaderExample
In this example the @Reader@ monad provides access to variable bindings.
Bindings are a 'Map' of integer variables.
The variable @count@ contains number of variables in the bindings.
You can see how to run a Reader monad and retrieve data from it
with 'runReader', how to access the Reader data with 'ask' and 'asks'.
> type Bindings = Map String Int;
>
>-- Returns True if the "count" variable contains correct bindings size.
>isCountCorrect :: Bindings -> Bool
>isCountCorrect bindings = runReader calc_isCountCorrect bindings
>
>-- The Reader monad, which implements this complicated check.
>calc_isCountCorrect :: Reader Bindings Bool
>calc_isCountCorrect = do
> count <- asks (lookupVar "count")
> bindings <- ask
> return (count == (Map.size bindings))
>
>-- The selector function to use with 'asks'.
>-- Returns value of the variable with specified name.
>lookupVar :: String -> Bindings -> Int
>lookupVar name bindings = fromJust (Map.lookup name bindings)
>
>sampleBindings = Map.fromList [("count",3), ("1",1), ("b",2)]
>
>main = do
> putStr $ "Count is correct for bindings " ++ (show sampleBindings) ++ ": ";
> putStrLn $ show (isCountCorrect sampleBindings);
-}
{- $localExample
Shows how to modify Reader content with 'local'.
>calculateContentLen :: Reader String Int
>calculateContentLen = do
> content <- ask
> return (length content);
>
>-- Calls calculateContentLen after adding a prefix to the Reader content.
>calculateModifiedContentLen :: Reader String Int
>calculateModifiedContentLen = local ("Prefix " ++) calculateContentLen
>
>main = do
> let s = "12345";
> let modifiedLen = runReader calculateModifiedContentLen s
> let len = runReader calculateContentLen s
> putStrLn $ "Modified 's' length: " ++ (show modifiedLen)
> putStrLn $ "Original 's' length: " ++ (show len)
-}
{- $ReaderTExample
Now you are thinking: 'Wow, what a great monad! I wish I could use
Reader functionality in MyFavoriteComplexMonad!'. Don't worry.
This can be easy done with the 'ReaderT' monad transformer.
This example shows how to combine @ReaderT@ with the IO monad.
>-- The Reader/IO combined monad, where Reader stores a string.
>printReaderContent :: ReaderT String IO ()
>printReaderContent = do
> content <- ask
> liftIO $ putStrLn ("The Reader Content: " ++ content)
>
>main = do
> runReaderT printReaderContent "Some Content"
-}