-- Hoogle documentation, generated by Haddock
-- See Hoogle, http://www.haskell.org/hoogle/
-- | A multimap.
--
-- This is a simple implementation of a multimap, based on
-- Data.Map.
--
--
-- - v1.1 ! had its arguments flipped. Fixed.
-- Also added fromMap.
-- - v1.2 Added Data.SetMap, renamed
-- Multimap to Data.MultiMap. Fixed the type of
-- delete. Derive instances for Data and
-- Typeable.
-- - v1.2.1 Fixed typos in the documentation.
--
@package multimap
@version 1.2.1
module Data.SetMap
-- | A SetMap with keys k and values v.
data SetMap k v
-- | O(1). Check whether the multimap is empty or not.
null :: SetMap k a -> Bool
-- | O(1). The number of elements in the multimap.
size :: SetMap k a -> Int
-- | O(1). The number of keys in the multimap.
--
-- As this is a multimap, the number of keys is not necessarily equal to
-- the number of values.
numKeys :: SetMap k a -> Word32
-- | O(1). The number of values in the multimap.
--
-- As this is a multimap, the number of keys is not necessarily equal to
-- the number of values.
numValues :: SetMap k a -> Word32
-- | O(log n). Is the key a member of the multimap?
member :: Ord k => SetMap k a -> k -> Bool
-- | O(log n). Is the key not a member of the multimap?
notMember :: Ord k => SetMap k a -> k -> Bool
-- | O(log n). Lookup the value at a key in the map.
--
-- The function will return the corrsponding values as a List, or the
-- empty list if no values are associated witht the given key.
lookup :: Ord k => k -> SetMap k a -> Set a
-- | As flip lookup
(!) :: Ord k => SetMap k a -> k -> Set a
-- | O(1). The empty multimap.
empty :: SetMap k a
-- | Insert a new key and value in the map.
insert :: (Ord k, Ord a) => k -> a -> SetMap k a -> SetMap k a
-- | Delete a key and all its values from the map.
delete :: Ord k => k -> SetMap k a -> SetMap k a
-- | Map a function over all values in the map.
map :: (Ord a, Ord b) => (a -> b) -> SetMap k a -> SetMap k b
-- | Return all elements of the multimap in the ascending order of their
-- keys.
--
-- A list of lists is returned since a key can have multiple values. Use
-- concat to flatten.
elems :: SetMap k a -> [[a]]
-- | O(n). Return all keys of the multimap in ascending order.
keys :: SetMap k a -> [k]
-- | O(1). Return the map of sets.
toMap :: SetMap k a -> Map k (Set a)
instance Typeable2 SetMap
instance (Data k, Data v, Ord k, Ord v) => Data (SetMap k v)
-- | A very simple MultiMap, based on Map from the containers
-- package.
module Data.MultiMap
-- | A MultiMap with keys k and values v.
--
-- A key can have multiple values (but not zero). The same value can be
-- added multiple times (thus no constraints are ever imposed on
-- v).
--
-- Internally this is simply a Map k [v]. See toMap for
-- accessing the underlying Map.
data MultiMap k v
-- | O(1). Check whether the multimap is empty or not.
null :: MultiMap k a -> Bool
-- | O(1). The number of elements in the multimap.
size :: MultiMap k a -> Int
-- | O(1). The number of keys in the multimap.
--
-- As this is a multimap, the number of keys is not necessarily equal to
-- the number of values.
numKeys :: MultiMap k a -> Word32
-- | O(1). The number of values in the multimap.
--
-- As this is a multimap, the number of keys is not necessarily equal to
-- the number of values.
numValues :: MultiMap k a -> Word32
-- | O(log n). Is the key a member of the multimap?
member :: Ord k => MultiMap k a -> k -> Bool
-- | O(log n). Is the key not a member of the multimap?
notMember :: Ord k => MultiMap k a -> k -> Bool
-- | O(log n). Lookup the value at a key in the map.
--
-- The function will return the corrsponding values as a List, or the
-- empty list if no values are associated witht the given key.
lookup :: Ord k => k -> MultiMap k a -> [a]
-- | As flip lookup
(!) :: Ord k => MultiMap k a -> k -> [a]
-- | O(1). The empty multimap.
empty :: MultiMap k a
-- | O(log n). Insert a new key and value in the map.
insert :: Ord k => k -> a -> MultiMap k a -> MultiMap k a
-- | O(log n). Delete a key and all its values from the map.
delete :: Ord k => k -> MultiMap k a -> MultiMap k a
-- | Map a function over all values in the map.
map :: (a -> b) -> MultiMap k a -> MultiMap k b
-- | mapKeys f s is the multimap obtained by applying f to each key of s.
mapKeys :: Ord k2 => (k1 -> k2) -> MultiMap k1 a -> MultiMap k2 a
-- | Map a function over all key/value pairs in the map.
mapWithKey :: (k -> a -> b) -> MultiMap k a -> MultiMap k b
-- | Fold the values in the map using the given right-associative binary
-- operator.
foldr :: (a -> b -> b) -> b -> MultiMap k a -> b
-- | Fold the values in the map using the given left-associative binary
-- operator.
foldl :: (a -> b -> a) -> a -> MultiMap k b -> a
-- | O(n). Fold the keys and values in the map using the given
-- right-associative binary operator, taking into account not only the
-- value but also the key.
foldrWithKey :: (k -> a -> b -> b) -> b -> MultiMap k a -> b
-- | O(n). Fold the keys and values in the map using the given
-- left-associative binary operator, taking into account not only the
-- value but also the key.
foldlWithKey :: (a -> k -> b -> a) -> a -> MultiMap k b -> a
-- | O(n). Return all elements of the multimap in the ascending
-- order of their keys.
--
-- A list of lists is returned since a key can have multiple values. Use
-- concat to flatten.
elems :: MultiMap k a -> [[a]]
-- | O(n). Return all keys of the multimap in ascending order.
keys :: MultiMap k a -> [k]
-- | O(n). The set of all keys of the multimap.
keysSet :: MultiMap k a -> Set k
-- | O(n). Return all key/value pairs in the multimap in ascending
-- key order.
assocs :: MultiMap k a -> [(k, [a])]
-- | O(1). Return the map of lists.
toMap :: MultiMap k a -> Map k [a]
-- | /O(k*m*log m) where k is the number of keys and m the maximum number
-- of elements associated with a single key/
toMapOfSets :: Ord a => MultiMap k a -> Map k (Set a)
-- | Return a flattened list of key/value pairs.
toList :: MultiMap k a -> [(k, a)]
-- | O(n*log n) Create a multimap from a list of key/value pairs.
--
--
-- fromList xs == foldr (uncurry insert) empty
--
fromList :: Ord k => [(k, a)] -> MultiMap k a
-- | Turns a map of lists into a multimap.
fromMap :: Map k [a] -> MultiMap k a
-- | O(log n) Find the minimal key of the multimap.
findMin :: MultiMap k a -> Maybe k
-- | O(log n) Find the maximal key of the multimap.
findMax :: MultiMap k a -> Maybe k
-- | O(log n) Find the minimal key and the values associated with
-- it.
findMinWithValues :: MultiMap k a -> Maybe (k, [a])
-- | O(log n) Find the maximal key and the values associated with
-- it.
findMaxWithValues :: MultiMap k a -> Maybe (k, [a])
instance Typeable2 MultiMap
instance (Data k, Data v, Ord k) => Data (MultiMap k v)