-- If you need a wider selection of monad loops and list generalisations, -- see module Control.Monad.Extra( module Control.Monad, whenJust, unit, partitionM, concatMapM, loopM, whileM, ifM, notM, (||^), (&&^), orM, andM, anyM, allM, findM, firstJustM ) where import Control.Monad import Control.Applicative -- General utilities whenJust :: Applicative m => Maybe a -> (a -> m ()) -> m () whenJust mg f = maybe (pure ()) f mg unit :: m () -> m () unit = id -- Data.List for Monad partitionM :: Monad m => (a -> m Bool) -> [a] -> m ([a], [a]) partitionM f [] = return ([], []) partitionM f (x:xs) = do res <- f x (as,bs) <- partitionM f xs return ([x | res]++as, [x | not res]++bs) concatMapM :: Monad m => (a -> m [b]) -> [a] -> m [b] concatMapM f = liftM concat . mapM f -- Looping loopM :: Monad m => (a -> m (Either a b)) -> a -> m b loopM act x = do res <- act x case res of Left x -> loopM act x Right v -> return v whileM :: Monad m => m Bool -> m () whileM act = do b <- act when b $ whileM act -- Booleans ifM :: Monad m => m Bool -> m a -> m a -> m a ifM b t f = do b <- b; if b then t else f notM :: Functor m => m Bool -> m Bool notM = fmap not -- > Just False &&^ undefined == Just False -- > Just True &&^ Just True == Just True (||^), (&&^) :: Monad m => m Bool -> m Bool -> m Bool (||^) a b = ifM a (return True) b (&&^) a b = ifM a b (return False) anyM :: Monad m => (a -> m Bool) -> [a] -> m Bool anyM p [] = return False anyM p (x:xs) = ifM (p x) (return True) (anyM p xs) allM :: Monad m => (a -> m Bool) -> [a] -> m Bool allM p [] = return True allM p (x:xs) = ifM (p x) (allM p xs) (return False) orM :: Monad m => [m Bool] -> m Bool orM = anyM id andM :: Monad m => [m Bool] -> m Bool andM = allM id -- Searching findM :: Monad m => (a -> m Bool) -> [a] -> m (Maybe a) findM p [] = return Nothing findM p (x:xs) = ifM (p x) (return $ Just x) (findM p xs) firstJustM :: Monad m => (a -> m (Maybe b)) -> [a] -> m (Maybe b) firstJustM p [] = return Nothing firstJustM p (x:xs) = maybe (firstJustM p xs) (return . Just) =<< p x