bimaps-0.1.0.2: bijections with multiple implementations.

Safe HaskellNone
LanguageHaskell2010

Data.Bijection.Map

Contents

Description

Bijections via strict maps.

Synopsis

Documentation

data Map k a :: * -> * -> * #

A Map from keys k to values a.

Instances

Functor (Map k) 

Methods

fmap :: (a -> b) -> Map k a -> Map k b #

(<$) :: a -> Map k b -> Map k a #

Foldable (Map k) 

Methods

fold :: Monoid m => Map k m -> m #

foldMap :: Monoid m => (a -> m) -> Map k a -> m #

foldr :: (a -> b -> b) -> b -> Map k a -> b #

foldr' :: (a -> b -> b) -> b -> Map k a -> b #

foldl :: (b -> a -> b) -> b -> Map k a -> b #

foldl' :: (b -> a -> b) -> b -> Map k a -> b #

foldr1 :: (a -> a -> a) -> Map k a -> a #

foldl1 :: (a -> a -> a) -> Map k a -> a #

toList :: Map k a -> [a] #

null :: Map k a -> Bool #

length :: Map k a -> Int #

elem :: Eq a => a -> Map k a -> Bool #

maximum :: Ord a => Map k a -> a #

minimum :: Ord a => Map k a -> a #

sum :: Num a => Map k a -> a #

product :: Num a => Map k a -> a #

Traversable (Map k) 

Methods

traverse :: Applicative f => (a -> f b) -> Map k a -> f (Map k b) #

sequenceA :: Applicative f => Map k (f a) -> f (Map k a) #

mapM :: Monad m => (a -> m b) -> Map k a -> m (Map k b) #

sequence :: Monad m => Map k (m a) -> m (Map k a) #

ToJSONKey k => ToJSON1 (Map k) 

Methods

liftToJSON :: (a -> Value) -> ([a] -> Value) -> Map k a -> Value #

liftToJSONList :: (a -> Value) -> ([a] -> Value) -> [Map k a] -> Value #

liftToEncoding :: (a -> Encoding) -> ([a] -> Encoding) -> Map k a -> Encoding #

liftToEncodingList :: (a -> Encoding) -> ([a] -> Encoding) -> [Map k a] -> Encoding #

(FromJSONKey k, Ord k) => FromJSON1 (Map k) 

Methods

liftParseJSON :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser (Map k a) #

liftParseJSONList :: (Value -> Parser a) -> (Value -> Parser [a]) -> Value -> Parser [Map k a] #

Ord k => IsList (Map k v) 

Associated Types

type Item (Map k v) :: * #

Methods

fromList :: [Item (Map k v)] -> Map k v #

fromListN :: Int -> [Item (Map k v)] -> Map k v #

toList :: Map k v -> [Item (Map k v)] #

(Eq k, Eq a) => Eq (Map k a) 

Methods

(==) :: Map k a -> Map k a -> Bool #

(/=) :: Map k a -> Map k a -> Bool #

(Data k, Data a, Ord k) => Data (Map k a) 

Methods

gfoldl :: (forall d b. Data d => c (d -> b) -> d -> c b) -> (forall g. g -> c g) -> Map k a -> c (Map k a) #

gunfold :: (forall b r. Data b => c (b -> r) -> c r) -> (forall r. r -> c r) -> Constr -> c (Map k a) #

toConstr :: Map k a -> Constr #

dataTypeOf :: Map k a -> DataType #

dataCast1 :: Typeable (* -> *) t => (forall d. Data d => c (t d)) -> Maybe (c (Map k a)) #

dataCast2 :: Typeable (* -> * -> *) t => (forall d e. (Data d, Data e) => c (t d e)) -> Maybe (c (Map k a)) #

gmapT :: (forall b. Data b => b -> b) -> Map k a -> Map k a #

gmapQl :: (r -> r' -> r) -> r -> (forall d. Data d => d -> r') -> Map k a -> r #

gmapQr :: (r' -> r -> r) -> r -> (forall d. Data d => d -> r') -> Map k a -> r #

gmapQ :: (forall d. Data d => d -> u) -> Map k a -> [u] #

gmapQi :: Int -> (forall d. Data d => d -> u) -> Map k a -> u #

gmapM :: Monad m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) #

gmapMp :: MonadPlus m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) #

gmapMo :: MonadPlus m => (forall d. Data d => d -> m d) -> Map k a -> m (Map k a) #

(Ord k, Ord v) => Ord (Map k v) 

Methods

compare :: Map k v -> Map k v -> Ordering #

(<) :: Map k v -> Map k v -> Bool #

(<=) :: Map k v -> Map k v -> Bool #

(>) :: Map k v -> Map k v -> Bool #

(>=) :: Map k v -> Map k v -> Bool #

max :: Map k v -> Map k v -> Map k v #

min :: Map k v -> Map k v -> Map k v #

(Ord k, Read k, Read e) => Read (Map k e) 

Methods

readsPrec :: Int -> ReadS (Map k e) #

readList :: ReadS [Map k e] #

readPrec :: ReadPrec (Map k e) #

readListPrec :: ReadPrec [Map k e] #

(Show k, Show a) => Show (Map k a) 

Methods

showsPrec :: Int -> Map k a -> ShowS #

show :: Map k a -> String #

showList :: [Map k a] -> ShowS #

Ord k => Semigroup (Map k v) 

Methods

(<>) :: Map k v -> Map k v -> Map k v #

sconcat :: NonEmpty (Map k v) -> Map k v #

stimes :: Integral b => b -> Map k v -> Map k v #

Ord k => Monoid (Map k v) 

Methods

mempty :: Map k v #

mappend :: Map k v -> Map k v -> Map k v #

mconcat :: [Map k v] -> Map k v #

(ToJSON v, ToJSONKey k) => ToJSON (Map k v) 

Methods

toJSON :: Map k v -> Value #

toEncoding :: Map k v -> Encoding #

toJSONList :: [Map k v] -> Value #

toEncodingList :: [Map k v] -> Encoding #

(FromJSONKey k, Ord k, FromJSON v) => FromJSON (Map k v) 

Methods

parseJSON :: Value -> Parser (Map k v) #

parseJSONList :: Value -> Parser [Map k v] #

(Binary k, Binary e) => Binary (Map k e) 

Methods

put :: Map k e -> Put #

get :: Get (Map k e) #

putList :: [Map k e] -> Put #

(Ord k, Serialize k, Serialize e) => Serialize (Map k e) 

Methods

put :: Putter (Map k e) #

get :: Get (Map k e) #

(NFData k, NFData a) => NFData (Map k a) 

Methods

rnf :: Map k a -> () #

type Item (Map k v) 
type Item (Map k v) = (k, v)
type Dom (Map d c) Source # 
type Dom (Map d c) = d
type Cod (Map d c) Source # 
type Cod (Map d c) = c

Orphan instances

(Eq d, Ord d) => DomCod (Map d c) Source # 

Associated Types

type Dom (Map d c) :: * Source #

type Cod (Map d c) :: * Source #

Methods

member :: Map d c -> Dom (Map d c) -> Bool Source #

lookup :: Map d c -> Dom (Map d c) -> Maybe (Cod (Map d c)) Source #

deleteDC :: Map d c -> Dom (Map d c) -> Maybe (Cod (Map d c), Map d c) Source #

insertDC :: Map d c -> (Dom (Map d c), Cod (Map d c)) -> Map d c Source #

toListDC :: Map d c -> [(Dom (Map d c), Cod (Map d c))] Source #

nullDC :: Map d c -> Bool Source #

emptyDC :: Map d c Source #

sizeDC :: Map d c -> Int Source #

fromListDC :: [(Dom (Map d c), Cod (Map d c))] -> Map d c Source #