autolib-data
Safe HaskellNone
LanguageHaskell98

Autolib.Set

Synopsis

Documentation

data Set a #

A set of values a.

Instances

Instances details
Eq1 Set #

Since: containers-0.5.9

Instance details

Defined in Data.Set.Internal

Methods

liftEq :: (a -> b -> Bool) -> Set a -> Set b -> Bool #

Ord1 Set #

Since: containers-0.5.9

Instance details

Defined in Data.Set.Internal

Methods

liftCompare :: (a -> b -> Ordering) -> Set a -> Set b -> Ordering #

Show1 Set #

Since: containers-0.5.9

Instance details

Defined in Data.Set.Internal

Methods

liftShowsPrec :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> Int -> Set a -> ShowS #

liftShowList :: (Int -> a -> ShowS) -> ([a] -> ShowS) -> [Set a] -> ShowS #

Foldable Set #

Folds in order of increasing key.

Instance details

Defined in Data.Set.Internal

Methods

fold :: Monoid m => Set m -> m #

foldMap :: Monoid m => (a -> m) -> Set a -> m #

foldMap' :: Monoid m => (a -> m) -> Set a -> m #

foldr :: (a -> b -> b) -> b -> Set a -> b #

foldr' :: (a -> b -> b) -> b -> Set a -> b #

foldl :: (b -> a -> b) -> b -> Set a -> b #

foldl' :: (b -> a -> b) -> b -> Set a -> b #

foldr1 :: (a -> a -> a) -> Set a -> a #

foldl1 :: (a -> a -> a) -> Set a -> a #

toList :: Set a -> [a] #

null :: Set a -> Bool #

length :: Set a -> Int #

elem :: Eq a => a -> Set a -> Bool #

maximum :: Ord a => Set a -> a #

minimum :: Ord a => Set a -> a #

sum :: Num a => Set a -> a #

product :: Num a => Set a -> a #

Hashable1 Set #

Since: hashable-1.3.4.0

Instance details

Defined in Data.Hashable.Class

Methods

liftHashWithSalt :: (Int -> a -> Int) -> Int -> Set a -> Int #

Lift a => Lift (Set a :: Type) #

Since: containers-0.6.6

Instance details

Defined in Data.Set.Internal

Methods

lift :: Quote m => Set a -> m Exp #

liftTyped :: forall (m :: Type -> Type). Quote m => Set a -> Code m (Set a) #

(Ord a, Reader a) => Reader (Set a) Source # 
Instance details

Defined in Autolib.Set

Nice [a] => Nice (Set a) Source # 
Instance details

Defined in Autolib.Set

Methods

nicePrec :: Int -> Set a -> Doc #

nice :: Set a -> Doc #

ToDoc [a] => ToDoc (Set a) Source # 
Instance details

Defined in Autolib.Set

Methods

toDocPrec :: Int -> Set a -> Doc #

toDocList :: [Set a] -> Doc #

NFData a => NFData (Set a) # 
Instance details

Defined in Data.Set.Internal

Methods

rnf :: Set a -> () #

Ord a => Monoid (Set a) # 
Instance details

Defined in Data.Set.Internal

Methods

mempty :: Set a #

mappend :: Set a -> Set a -> Set a #

mconcat :: [Set a] -> Set a #

Ord a => Semigroup (Set a) #

Since: containers-0.5.7

Instance details

Defined in Data.Set.Internal

Methods

(<>) :: Set a -> Set a -> Set a #

sconcat :: NonEmpty (Set a) -> Set a #

stimes :: Integral b => b -> Set a -> Set a #

(Data a, Ord a) => Data (Set a) # 
Instance details

Defined in Data.Set.Internal

Methods

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

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

toConstr :: Set a -> Constr #

dataTypeOf :: Set a -> DataType #

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

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

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

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

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

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

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

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

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

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

Ord a => IsList (Set a) #

Since: containers-0.5.6.2

Instance details

Defined in Data.Set.Internal

Associated Types

type Item (Set a) 
Instance details

Defined in Data.Set.Internal

type Item (Set a) = a

Methods

fromList :: [Item (Set a)] -> Set a #

fromListN :: Int -> [Item (Set a)] -> Set a #

toList :: Set a -> [Item (Set a)] #

(Read a, Ord a) => Read (Set a) # 
Instance details

Defined in Data.Set.Internal

Show a => Show (Set a) # 
Instance details

Defined in Data.Set.Internal

Methods

showsPrec :: Int -> Set a -> ShowS #

show :: Set a -> String #

showList :: [Set a] -> ShowS #

Eq a => Eq (Set a) # 
Instance details

Defined in Data.Set.Internal

Methods

(==) :: Set a -> Set a -> Bool #

(/=) :: Set a -> Set a -> Bool #

Ord a => Ord (Set a) # 
Instance details

Defined in Data.Set.Internal

Methods

compare :: Set a -> Set a -> Ordering #

(<) :: Set a -> Set a -> Bool #

(<=) :: Set a -> Set a -> Bool #

(>) :: Set a -> Set a -> Bool #

(>=) :: Set a -> Set a -> Bool #

max :: Set a -> Set a -> Set a #

min :: Set a -> Set a -> Set a #

Hashable v => Hashable (Set v) #

Since: hashable-1.3.4.0

Instance details

Defined in Data.Hashable.Class

Methods

hashWithSalt :: Int -> Set v -> Int #

hash :: Set v -> Int #

Ord a => Container (Set a) [a] Source # 
Instance details

Defined in Autolib.Set

Methods

label :: Set a -> String #

pack :: Set a -> [a] #

unpack :: [a] -> Set a #

type Item (Set a) # 
Instance details

Defined in Data.Set.Internal

type Item (Set a) = a

addToSet :: Ord a => Set a -> a -> Set a Source #

cross :: (Ord a, Ord b) => Set a -> Set b -> Set (a, b) Source #

delFromSet :: Ord a => Set a -> a -> Set a Source #

elementOf :: Ord a => a -> Set a -> Bool Source #

intersect :: Ord a => Set a -> Set a -> Set a Source #

minusSet :: Ord a => Set a -> Set a -> Set a Source #

mkSet :: Ord a => [a] -> Set a Source #

nonempty :: Ord a => Set a -> Bool Source #

setToList :: Set a -> [a] Source #

sfilter :: Ord a => (a -> Bool) -> Set a -> Set a Source #

smap :: (Ord a, Ord b) => (a -> b) -> Set a -> Set b Source #

subseteq :: Ord a => Set a -> Set a -> Bool Source #

subsets :: Ord a => Set a -> [Set a] Source #

teilfolgen :: Int -> [a] -> [[a]] Source #

teilmengen :: Ord a => Int -> Set a -> [Set a] Source #

union :: Ord a => Set a -> Set a -> Set a Source #

unionManySets :: (Foldable f, Ord a) => f (Set a) -> Set a Source #

unitSet :: a -> Set a Source #

Orphan instances

(Ord a, Reader a) => Reader (Set a) Source # 
Instance details

Nice [a] => Nice (Set a) Source # 
Instance details

Methods

nicePrec :: Int -> Set a -> Doc #

nice :: Set a -> Doc #

ToDoc [a] => ToDoc (Set a) Source # 
Instance details

Methods

toDocPrec :: Int -> Set a -> Doc #

toDocList :: [Set a] -> Doc #

Ord a => Container (Set a) [a] Source # 
Instance details

Methods

label :: Set a -> String #

pack :: Set a -> [a] #

unpack :: [a] -> Set a #