monads-tf-0.1.0.3: Monad classes, using type families

Copyright | (c) Michael Weber <michael.weber@post.rwth-aachen.de> 2001 (c) Jeff Newbern 2003-2006 (c) Andriy Palamarchuk 2006
License | BSD-style (see the file LICENSE)
Maintainer | ross@soi.city.ac.uk
Stability | experimental
Portability | non-portable (type families)
Safe Haskell | Safe
Language | Haskell98

Control.Monad.Error

Contents

- Monads with error handling
- The ErrorT monad transformer
- Example 1: Custom Error Data Type
- Example 2: Using ErrorT Monad Transformer

Description

Computation type:
  Computations which may fail or throw exceptions.
Binding strategy:
  Failure records information about the cause/location of the failure. Failure values bypass the bound function, other values are used as inputs to the bound function.
Useful for:
  Building computations from sequences of functions that may fail or using exception handling to structure error handling.
Zero and plus:
  Zero is represented by an empty error and the plus operation executes its second argument if the first fails.
Example type:
  ``Either` String a`

The Error monad (also called the Exception monad).

Synopsis

- class Monad m => MonadError m where
  - type ErrorType m
- class Error a
- newtype ErrorT e (m :: * -> *) a = ErrorT {
  - runErrorT :: m (Either e a)
  }
- mapErrorT :: (m (Either e a) -> n (Either e' b)) -> ErrorT e m a -> ErrorT e' n b
- module Control.Monad
- module Control.Monad.Fix
- module Control.Monad.Trans

# Monads with error handling

class Monad m => MonadError m where #

The strategy of combining computations that can throw exceptions by bypassing bound functions from the point an exception is thrown to the point that it is handled.

Is parameterized over the type of error information and the monad type constructor. It is common to use ``Either` String` as the monad type constructor for an error monad in which error descriptions take the form of strings. In that case and many other common cases the resulting monad is already defined as an instance of the `MonadError` class. You can also define your own error type and/or use a monad type constructor other than ``Either` String` or ``Either` IOError`. In these cases you will have to explicitly define instances of the `Error` and/or `MonadError` classes.

Minimal complete definition

throwError, catchError

Associated Types

type ErrorType m #

Methods

throwError :: ErrorType m -> m a #

Is used within a monadic computation to begin exception processing.

catchError :: m a -> (ErrorType m -> m a) -> m a #

A handler function to handle previous errors and return to normal execution. A common idiom is:

    do { action1; action2; action3 } `catchError` handler

where the `action` functions can call `throwError`. Note that `handler` and the do-block must have the same return type.

Instances

MonadError IO # |
Instance details Defined in Control.Monad.Error.Class Associated Types type ErrorType IO :: * # Methods throwError :: ErrorType IO -> IO a # catchError :: IO a -> (ErrorType IO -> IO a) -> IO a #
Error e => MonadError (Either e) # |
Instance details Defined in Control.Monad.Error.Class Associated Types type ErrorType (Either e) :: * # Methods throwError :: ErrorType (Either e) -> Either e a # catchError :: Either e a -> (ErrorType (Either e) -> Either e a) -> Either e a #
MonadError m => MonadError (MaybeT m) # |
Instance details Defined in Control.Monad.Error.Class Associated Types type ErrorType (MaybeT m) :: * # Methods throwError :: ErrorType (MaybeT m) -> MaybeT m a # catchError :: MaybeT m a -> (ErrorType (MaybeT m) -> MaybeT m a) -> MaybeT m a #
MonadError m => MonadError (ListT m) # |
Instance details Defined in Control.Monad.Error.Class Associated Types type ErrorType (ListT m) :: * # Methods throwError :: ErrorType (ListT m) -> ListT m a # catchError :: ListT m a -> (ErrorType (ListT m) -> ListT m a) -> ListT m a #
(Monoid w, MonadError m) => MonadError (WriterT w m) # |
Instance details Defined in Control.Monad.Error.Class Associated Types type ErrorType (WriterT w m) :: * # Methods throwError :: ErrorType (WriterT w m) -> WriterT w m a # catchError :: WriterT w m a -> (ErrorType (WriterT w m) -> WriterT w m a) -> WriterT w m a #
(Monoid w, MonadError m) => MonadError (WriterT w m) # |
Instance details Defined in Control.Monad.Error.Class Associated Types type ErrorType (WriterT w m) :: * # Methods throwError :: ErrorType (WriterT w m) -> WriterT w m a # catchError :: WriterT w m a -> (ErrorType (WriterT w m) -> WriterT w m a) -> WriterT w m a #
MonadError m => MonadError (StateT s m) # |
Instance details Defined in Control.Monad.Error.Class Associated Types type ErrorType (StateT s m) :: * # Methods throwError :: ErrorType (StateT s m) -> StateT s m a # catchError :: StateT s m a -> (ErrorType (StateT s m) -> StateT s m a) -> StateT s m a #
MonadError m => MonadError (StateT s m) # |
Instance details Defined in Control.Monad.Error.Class Associated Types type ErrorType (StateT s m) :: * # Methods throwError :: ErrorType (StateT s m) -> StateT s m a # catchError :: StateT s m a -> (ErrorType (StateT s m) -> StateT s m a) -> StateT s m a #
MonadError m => MonadError (IdentityT m) # |
Instance details Defined in Control.Monad.Error.Class Associated Types type ErrorType (IdentityT m) :: * # Methods throwError :: ErrorType (IdentityT m) -> IdentityT m a # catchError :: IdentityT m a -> (ErrorType (IdentityT m) -> IdentityT m a) -> IdentityT m a #
(Monad m, Error e) => MonadError (ErrorT e m) # |
Instance details Defined in Control.Monad.Error.Class Associated Types type ErrorType (ErrorT e m) :: * # Methods throwError :: ErrorType (ErrorT e m) -> ErrorT e m a # catchError :: ErrorT e m a -> (ErrorType (ErrorT e m) -> ErrorT e m a) -> ErrorT e m a #
MonadError m => MonadError (ReaderT r m) # |
Instance details Defined in Control.Monad.Error.Class Associated Types type ErrorType (ReaderT r m) :: * # Methods throwError :: ErrorType (ReaderT r m) -> ReaderT r m a # catchError :: ReaderT r m a -> (ErrorType (ReaderT r m) -> ReaderT r m a) -> ReaderT r m a #
(Monoid w, MonadError m) => MonadError (RWST r w s m) # |
Instance details Defined in Control.Monad.Error.Class Associated Types type ErrorType (RWST r w s m) :: * # Methods throwError :: ErrorType (RWST r w s m) -> RWST r w s m a # catchError :: RWST r w s m a -> (ErrorType (RWST r w s m) -> RWST r w s m a) -> RWST r w s m a #
(Monoid w, MonadError m) => MonadError (RWST r w s m) # |
Instance details Defined in Control.Monad.Error.Class Associated Types type ErrorType (RWST r w s m) :: * # Methods throwError :: ErrorType (RWST r w s m) -> RWST r w s m a # catchError :: RWST r w s m a -> (ErrorType (RWST r w s m) -> RWST r w s m a) -> RWST r w s m a #

class Error a #

An exception to be thrown.

Minimal complete definition: `noMsg` or `strMsg`.

Instances

Error IOException |
Instance details Defined in Control.Monad.Trans.Error Methods noMsg :: IOException # strMsg :: String -> IOException #
ErrorList a => Error [a] | A string can be thrown as an error.
Instance details Defined in Control.Monad.Trans.Error Methods noMsg :: [a] # strMsg :: String -> [a] #

# The ErrorT monad transformer

newtype ErrorT e (m :: * -> *) a #

The error monad transformer. It can be used to add error handling to other monads.

The `ErrorT` Monad structure is parameterized over two things:

- e - The error type.
- m - The inner monad.

The `return` function yields a successful computation, while `>>=` sequences two subcomputations, failing on the first error.

Constructors

ErrorT |
Fields runErrorT :: m (Either e a)

Instances

MonadTrans (ErrorT e) |
Instance details Defined in Control.Monad.Trans.Error Methods lift :: Monad m => m a -> ErrorT e m a #
(Monad m, Error e) => Monad (ErrorT e m) |
Instance details Defined in Control.Monad.Trans.Error Methods (>>=) :: ErrorT e m a -> (a -> ErrorT e m b) -> ErrorT e m b # (>>) :: ErrorT e m a -> ErrorT e m b -> ErrorT e m b # return :: a -> ErrorT e m a # fail :: String -> ErrorT e m a #
Functor m => Functor (ErrorT e m) |
Instance details Defined in Control.Monad.Trans.Error Methods fmap :: (a -> b) -> ErrorT e m a -> ErrorT e m b # (<$) :: a -> ErrorT e m b -> ErrorT e m a #
(MonadFix m, Error e) => MonadFix (ErrorT e m) |
Instance details Defined in Control.Monad.Trans.Error Methods mfix :: (a -> ErrorT e m a) -> ErrorT e m a #
(Monad m, Error e) => MonadFail (ErrorT e m) |
Instance details Defined in Control.Monad.Trans.Error Methods fail :: String -> ErrorT e m a #
(Functor m, Monad m) => Applicative (ErrorT e m) |
Instance details Defined in Control.Monad.Trans.Error Methods pure :: a -> ErrorT e m a # (<*>) :: ErrorT e m (a -> b) -> ErrorT e m a -> ErrorT e m b # liftA2 :: (a -> b -> c) -> ErrorT e m a -> ErrorT e m b -> ErrorT e m c # (*>) :: ErrorT e m a -> ErrorT e m b -> ErrorT e m b # (<*) :: ErrorT e m a -> ErrorT e m b -> ErrorT e m a #
Foldable f => Foldable (ErrorT e f) |
Instance details Defined in Control.Monad.Trans.Error Methods fold :: Monoid m => ErrorT e f m -> m # foldMap :: Monoid m => (a -> m) -> ErrorT e f a -> m # foldr :: (a -> b -> b) -> b -> ErrorT e f a -> b # foldr' :: (a -> b -> b) -> b -> ErrorT e f a -> b # foldl :: (b -> a -> b) -> b -> ErrorT e f a -> b # foldl' :: (b -> a -> b) -> b -> ErrorT e f a -> b # foldr1 :: (a -> a -> a) -> ErrorT e f a -> a # foldl1 :: (a -> a -> a) -> ErrorT e f a -> a # toList :: ErrorT e f a -> [a] # null :: ErrorT e f a -> Bool # length :: ErrorT e f a -> Int # elem :: Eq a => a -> ErrorT e f a -> Bool # maximum :: Ord a => ErrorT e f a -> a # minimum :: Ord a => ErrorT e f a -> a # sum :: Num a => ErrorT e f a -> a # product :: Num a => ErrorT e f a -> a #
Traversable f => Traversable (ErrorT e f) |
Instance details Defined in Control.Monad.Trans.Error Methods traverse :: Applicative f0 => (a -> f0 b) -> ErrorT e f a -> f0 (ErrorT e f b) # sequenceA :: Applicative f0 => ErrorT e f (f0 a) -> f0 (ErrorT e f a) # mapM :: Monad m => (a -> m b) -> ErrorT e f a -> m (ErrorT e f b) # sequence :: Monad m => ErrorT e f (m a) -> m (ErrorT e f a) #
(Eq e, Eq1 m) => Eq1 (ErrorT e m) |
Instance details Defined in Control.Monad.Trans.Error Methods liftEq :: (a -> b -> Bool) -> ErrorT e m a -> ErrorT e m b -> Bool #
(Ord e, Ord1 m) => Ord1 (ErrorT e m) |
Instance details Defined in Control.Monad.Trans.Error Methods liftCompare :: (a -> b -> Ordering) -> ErrorT e m a -> ErrorT e m b -> Ordering #
(Read e, Read1 m) => Read1 (ErrorT e m) |
Instance details Defined in Control.Monad.Trans.Error Methods liftReadsPrec :: (Int -> ReadS a) -> ReadS [a] -> Int -> ReadS (ErrorT e m a) # liftReadList :: (Int -> ReadS a) -> ReadS [a] -> ReadS [ErrorT e m a] # liftReadPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec (ErrorT e m a) # liftReadListPrec :: ReadPrec a -> ReadPrec [a] -> ReadPrec [ErrorT e m a] #
(Show e, Show1 m) => Show1 (ErrorT e m) |
Instance details Defined in Control.Monad.Trans.Error Methods liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> ErrorT e m a -> ShowS # liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [ErrorT e m a] -> ShowS #
(Error e, MonadIO m) => MonadIO (ErrorT e m) |
Instance details Defined in Control.Monad.Trans.Error Methods liftIO :: IO a -> ErrorT e m a #
(Functor m, Monad m, Error e) => Alternative (ErrorT e m) |
Instance details Defined in Control.Monad.Trans.Error Methods empty :: ErrorT e m a # (<|>) :: ErrorT e m a -> ErrorT e m a -> ErrorT e m a # some :: ErrorT e m a -> ErrorT e m [a] # many :: ErrorT e m a -> ErrorT e m [a] #
(Monad m, Error e) => MonadPlus (ErrorT e m) |
Instance details Defined in Control.Monad.Trans.Error Methods mzero :: ErrorT e m a # mplus :: ErrorT e m a -> ErrorT e m a -> ErrorT e m a #
(Error e, MonadCont m) => MonadCont (ErrorT e m) # |
Instance details Defined in Control.Monad.Cont.Class Methods callCC :: ((a -> ErrorT e m b) -> ErrorT e m a) -> ErrorT e m a #
(Error e, MonadState m) => MonadState (ErrorT e m) # |
Instance details Defined in Control.Monad.State.Class Associated Types type StateType (ErrorT e m) :: * # Methods get :: ErrorT e m (StateType (ErrorT e m)) # put :: StateType (ErrorT e m) -> ErrorT e m () #
(Error e, MonadReader m) => MonadReader (ErrorT e m) # |
Instance details Defined in Control.Monad.Reader.Class Associated Types type EnvType (ErrorT e m) :: * # Methods ask :: ErrorT e m (EnvType (ErrorT e m)) # local :: (EnvType (ErrorT e m) -> EnvType (ErrorT e m)) -> ErrorT e m a -> ErrorT e m a #
(Monad m, Error e) => MonadError (ErrorT e m) # |
Instance details Defined in Control.Monad.Error.Class Associated Types type ErrorType (ErrorT e m) :: * # Methods throwError :: ErrorType (ErrorT e m) -> ErrorT e m a # catchError :: ErrorT e m a -> (ErrorType (ErrorT e m) -> ErrorT e m a) -> ErrorT e m a #
(Error e, MonadWriter m) => MonadWriter (ErrorT e m) # |
Instance details Defined in Control.Monad.Writer.Class Associated Types type WriterType (ErrorT e m) :: * # Methods tell :: WriterType (ErrorT e m) -> ErrorT e m () # listen :: ErrorT e m a -> ErrorT e m (a, WriterType (ErrorT e m)) # pass :: ErrorT e m (a, WriterType (ErrorT e m) -> WriterType (ErrorT e m)) -> ErrorT e m a #
(Error e, MonadRWS m) => MonadRWS (ErrorT e m) # |
Instance details Defined in Control.Monad.RWS.Class
(Eq e, Eq1 m, Eq a) => Eq (ErrorT e m a) |
Instance details Defined in Control.Monad.Trans.Error Methods (==) :: ErrorT e m a -> ErrorT e m a -> Bool # (/=) :: ErrorT e m a -> ErrorT e m a -> Bool #
(Ord e, Ord1 m, Ord a) => Ord (ErrorT e m a) |
Instance details Defined in Control.Monad.Trans.Error Methods compare :: ErrorT e m a -> ErrorT e m a -> Ordering # (<) :: ErrorT e m a -> ErrorT e m a -> Bool # (<=) :: ErrorT e m a -> ErrorT e m a -> Bool # (>) :: ErrorT e m a -> ErrorT e m a -> Bool # (>=) :: ErrorT e m a -> ErrorT e m a -> Bool # max :: ErrorT e m a -> ErrorT e m a -> ErrorT e m a # min :: ErrorT e m a -> ErrorT e m a -> ErrorT e m a #
(Read e, Read1 m, Read a) => Read (ErrorT e m a) |
Instance details Defined in Control.Monad.Trans.Error Methods readsPrec :: Int -> ReadS (ErrorT e m a) # readList :: ReadS [ErrorT e m a] # readPrec :: ReadPrec (ErrorT e m a) # readListPrec :: ReadPrec [ErrorT e m a] #
(Show e, Show1 m, Show a) => Show (ErrorT e m a) |
Instance details Defined in Control.Monad.Trans.Error Methods showsPrec :: Int -> ErrorT e m a -> ShowS # show :: ErrorT e m a -> String # showList :: [ErrorT e m a] -> ShowS #
type StateType (ErrorT e m) # |
Instance details Defined in Control.Monad.State.Class type StateType (ErrorT e m) = StateType m
type EnvType (ErrorT e m) # |
Instance details Defined in Control.Monad.Reader.Class type EnvType (ErrorT e m) = EnvType m
type ErrorType (ErrorT e m) # |
Instance details Defined in Control.Monad.Error.Class type ErrorType (ErrorT e m) = e
type WriterType (ErrorT e m) # |
Instance details Defined in Control.Monad.Writer.Class type WriterType (ErrorT e m) = WriterType m

mapErrorT :: (m (Either e a) -> n (Either e' b)) -> ErrorT e m a -> ErrorT e' n b #

Map the unwrapped computation using the given function.

-     runErrorT (mapErrorT f m) = f (runErrorT m)

module Control.Monad

module Control.Monad.Fix

module Control.Monad.Trans

# Example 1: Custom Error Data Type

Here is an example that demonstrates the use of a custom `Error` data type with the `throwError` and `catchError` exception mechanism from `MonadError`. The example throws an exception if the user enters an empty string or a string longer than 5 characters. Otherwise it prints length of the string.

    -- This is the type to represent length calculation error.
    data LengthError = EmptyString  -- Entered string was empty.
              | StringTooLong Int   -- A string is longer than 5 characters.
                                    -- Records a length of the string.
              | OtherError String   -- Other error, stores the problem description.

    -- We make LengthError an instance of the Error class
    -- to be able to throw it as an exception.
    instance Error LengthError where
      noMsg    = OtherError "A String Error!"
      strMsg s = OtherError s

    -- Converts LengthError to a readable message.
    instance Show LengthError where
      show EmptyString = "The string was empty!"
      show (StringTooLong len) =
          "The length of the string (" ++ (show len) ++ ") is bigger than 5!"
      show (OtherError msg) = msg

    -- For our monad type constructor, we use Either LengthError
    -- which represents failure using Left LengthError
    -- or a successful result of type a using Right a.
    type LengthMonad = Either LengthError

    main = do
      putStrLn "Please enter a string:"
      s <- getLine
      reportResult (calculateLength s)

    -- Wraps length calculation to catch the errors.
    -- Returns either length of the string or an error.
    calculateLength :: String -> LengthMonad Int
    calculateLength s = (calculateLengthOrFail s) `catchError` Left

    -- Attempts to calculate length and throws an error if the provided string is
    -- empty or longer than 5 characters.
    -- The processing is done in Either monad.
    calculateLengthOrFail :: String -> LengthMonad Int
    calculateLengthOrFail [] = throwError EmptyString
    calculateLengthOrFail s | len > 5 = throwError (StringTooLong len)
                            | otherwise = return len
      where len = length s

    -- Prints result of the string length calculation.
    reportResult :: LengthMonad Int -> IO ()
    reportResult (Right len) = putStrLn ("The length of the string is " ++ (show len))
    reportResult (Left e) = putStrLn ("Length calculation failed with error: " ++ (show e))

# Example 2: Using ErrorT Monad Transformer

``ErrorT`` monad transformer can be used to add error handling to another monad. Here is an example how to combine it with an `IO` monad:

    import Control.Monad.Error

    -- An IO monad which can return String failure.
    -- It is convenient to define the monad type of the combined monad,
    -- especially if we combine more monad transformers.
    type LengthMonad = ErrorT String IO

    main = do
      -- runErrorT removes the ErrorT wrapper
      r <- runErrorT calculateLength
      reportResult r

    -- Asks user for a non-empty string and returns its length.
    -- Throws an error if user enters an empty string.
    calculateLength :: LengthMonad Int
    calculateLength = do
      -- all the IO operations have to be lifted to the IO monad in the monad stack
      liftIO $ putStrLn "Please enter a non-empty string: "
      s <- liftIO getLine
      if null s
        then throwError "The string was empty!"
        else return $ length s

    -- Prints result of the string length calculation.
    reportResult :: Either String Int -> IO ()
    reportResult (Right len) = putStrLn ("The length of the string is " ++ (show len))
    reportResult (Left e) = putStrLn ("Length calculation failed with error: " ++ (show e))