Data.Set.Extra

Documentation

module Data.Set

mapM :: (Monad m, Ord b) => (a -> m b) -> Set a -> m (Set b)

mapM_ :: (Monad m, Ord b) => (a -> m b) -> Set a -> m ()

filterM :: (Ord a, Monad m) => (a -> m Bool) -> Set a -> m (Set a)

catMaybes :: Ord a => Set (Maybe a) -> Set a

mapMaybe :: (Ord a, Ord b) => (a -> Maybe b) -> Set a -> Set b

flatten :: Ord a => Set (Set a) -> Set a

concatMap :: (Ord a, Ord b) => (a -> Set b) -> Set a -> Set b

concatMapM :: (Monad m, Ord a, Ord b) => (a -> m (Set b)) -> Set a -> m (Set b)

any :: Ord a => (a -> Bool) -> Set a -> Bool

all :: Ord a => (a -> Bool) -> Set a -> Bool

or :: Set Bool -> Bool

and :: Set Bool -> Bool

ss :: Ord a => a -> Set (Set a)

Create a singleton set containing a singleton set of a.

toSS :: Ord a => [[a]] -> Set (Set a)

Turn a list of lists into a set of sets.

fromSS :: Ord a => Set (Set a) -> [[a]]

ssMapM :: (Monad m, Ord a, Ord b) => (a -> m b) -> Set (Set a) -> m (Set (Set b))

distrib :: Ord a => Set (Set a) -> Set (Set a) -> Set (Set a)

distrib {a, b, c} {d, e, f} -> {a+d, a+e, a+f, b+d, b+e, b+f, c+d, c+e, c+f}

cartesianProduct :: Set a -> Set b -> Set (a, b)

\(O(nm)\). Calculate the Cartesian product of two sets.

cartesianProduct xs ys = fromList $ liftA2 (,) (toList xs) (toList ys)

Example:

cartesianProduct (fromList [1,2]) (fromList ['a','b']) =
  fromList [(1,'a'), (1,'b'), (2,'a'), (2,'b')]

Since: containers-0.5.11

groupBy :: (Ord a, Ord b) => (a -> b) -> Set a -> Map b (Set a)

powerset :: Ord a => Set a -> Set (Set a)

partitionM :: (Monad m, Ord a) => (a -> m Bool) -> Set a -> m (Set a, Set a)

unzip :: (Ord a, Ord b) => Set (a, b) -> (Set a, Set b)

gFind :: forall a b. (Data a, Typeable b, Ord b) => a -> Set b