module Control.Monad.List (
ListT(..),
mapListT,
module Control.Monad,
module Control.Monad.Trans,
) where
import Control.Monad
import Control.Monad.Cont.Class
import Control.Monad.Error.Class
import Control.Monad.Reader.Class
import Control.Monad.State.Class
import Control.Monad.Trans
newtype ListT m a = ListT { runListT :: m [a] }
mapListT :: (m [a] -> n [b]) -> ListT m a -> ListT n b
mapListT f m = ListT $ f (runListT m)
instance (Monad m) => Functor (ListT m) where
fmap f m = ListT $ do
a <- runListT m
return (map f a)
instance (Monad m) => Monad (ListT m) where
return a = ListT $ return [a]
m >>= k = ListT $ do
a <- runListT m
b <- mapM (runListT . k) a
return (concat b)
fail _ = ListT $ return []
instance (Monad m) => MonadPlus (ListT m) where
mzero = ListT $ return []
m `mplus` n = ListT $ do
a <- runListT m
b <- runListT n
return (a ++ b)
instance MonadTrans ListT where
lift m = ListT $ do
a <- m
return [a]
instance (MonadIO m) => MonadIO (ListT m) where
liftIO = lift . liftIO
instance (MonadCont m) => MonadCont (ListT m) where
callCC f = ListT $
callCC $ \c ->
runListT (f (\a -> ListT $ c [a]))
instance (MonadError e m) => MonadError e (ListT m) where
throwError = lift . throwError
m `catchError` h = ListT $ runListT m
`catchError` \e -> runListT (h e)
instance (MonadReader s m) => MonadReader s (ListT m) where
ask = lift ask
local f m = ListT $ local f (runListT m)
instance (MonadState s m) => MonadState s (ListT m) where
get = lift get
put = lift . put