Copyright  2011 Bryan O'Sullivan 

License  BSDstyle 
Maintainer  johan.tibell@gmail.com 
Portability  portable 
Safe Haskell  Trustworthy 
Language  Haskell2010 
WARNING
This module is considered internal.
The Package Versioning Policy does not apply.
The contents of this module may change in any way whatsoever and without any warning between minor versions of this package.
Authors importing this module are expected to track development closely.
Description
A set of hashable values. A set cannot contain duplicate items.
A HashSet
makes no guarantees as to the order of its elements.
The implementation is based on hash array mapped tries. A
HashSet
is often faster than other treebased set types,
especially when value comparison is expensive, as in the case of
strings.
Many operations have a averagecase complexity of O(log n). The implementation uses a large base (i.e. 16) so in practice these operations are constant time.
Synopsis
 data HashSet a
 empty :: HashSet a
 singleton :: Hashable a => a > HashSet a
 null :: HashSet a > Bool
 size :: HashSet a > Int
 member :: (Eq a, Hashable a) => a > HashSet a > Bool
 insert :: (Eq a, Hashable a) => a > HashSet a > HashSet a
 delete :: (Eq a, Hashable a) => a > HashSet a > HashSet a
 isSubsetOf :: (Eq a, Hashable a) => HashSet a > HashSet a > Bool
 map :: (Hashable b, Eq b) => (a > b) > HashSet a > HashSet b
 union :: (Eq a, Hashable a) => HashSet a > HashSet a > HashSet a
 unions :: (Eq a, Hashable a) => [HashSet a] > HashSet a
 difference :: (Eq a, Hashable a) => HashSet a > HashSet a > HashSet a
 intersection :: (Eq a, Hashable a) => HashSet a > HashSet a > HashSet a
 foldr :: (b > a > a) > a > HashSet b > a
 foldr' :: (b > a > a) > a > HashSet b > a
 foldl :: (a > b > a) > a > HashSet b > a
 foldl' :: (a > b > a) > a > HashSet b > a
 filter :: (a > Bool) > HashSet a > HashSet a
 toList :: HashSet a > [a]
 fromList :: (Eq a, Hashable a) => [a] > HashSet a
 toMap :: HashSet a > HashMap a ()
 fromMap :: HashMap a () > HashSet a
 keysSet :: HashMap k a > HashSet k
Documentation
A set of values. A set cannot contain duplicate values.
Instances
Foldable HashSet Source #  
Defined in Data.HashSet.Internal fold :: Monoid m => HashSet m > m # foldMap :: Monoid m => (a > m) > HashSet a > m # foldr :: (a > b > b) > b > HashSet a > b # foldr' :: (a > b > b) > b > HashSet a > b # foldl :: (b > a > b) > b > HashSet a > b # foldl' :: (b > a > b) > b > HashSet a > b # foldr1 :: (a > a > a) > HashSet a > a # foldl1 :: (a > a > a) > HashSet a > a # elem :: Eq a => a > HashSet a > Bool # maximum :: Ord a => HashSet a > a # minimum :: Ord a => HashSet a > a #  
Eq1 HashSet Source #  
Ord1 HashSet Source #  
Defined in Data.HashSet.Internal  
Show1 HashSet Source #  
Hashable1 HashSet Source #  
Defined in Data.HashSet.Internal  
(Eq a, Hashable a) => IsList (HashSet a) Source #  
Eq a => Eq (HashSet a) Source #  Note that, in the presence of hash collisions, equal
In general, the lack of substitutivity can be observed with any function that depends on the key ordering, such as folds and traversals. 
(Data a, Eq a, Hashable a) => Data (HashSet a) Source #  
Defined in Data.HashSet.Internal gfoldl :: (forall d b. Data d => c (d > b) > d > c b) > (forall g. g > c g) > HashSet a > c (HashSet a) # gunfold :: (forall b r. Data b => c (b > r) > c r) > (forall r. r > c r) > Constr > c (HashSet a) # toConstr :: HashSet a > Constr # dataTypeOf :: HashSet a > DataType # dataCast1 :: Typeable t => (forall d. Data d => c (t d)) > Maybe (c (HashSet a)) # dataCast2 :: Typeable t => (forall d e. (Data d, Data e) => c (t d e)) > Maybe (c (HashSet a)) # gmapT :: (forall b. Data b => b > b) > HashSet a > HashSet a # gmapQl :: (r > r' > r) > r > (forall d. Data d => d > r') > HashSet a > r # gmapQr :: (r' > r > r) > r > (forall d. Data d => d > r') > HashSet a > r # gmapQ :: (forall d. Data d => d > u) > HashSet a > [u] # gmapQi :: Int > (forall d. Data d => d > u) > HashSet a > u # gmapM :: Monad m => (forall d. Data d => d > m d) > HashSet a > m (HashSet a) # gmapMp :: MonadPlus m => (forall d. Data d => d > m d) > HashSet a > m (HashSet a) # gmapMo :: MonadPlus m => (forall d. Data d => d > m d) > HashSet a > m (HashSet a) #  
Ord a => Ord (HashSet a) Source #  
Defined in Data.HashSet.Internal  
(Eq a, Hashable a, Read a) => Read (HashSet a) Source #  
Show a => Show (HashSet a) Source #  
(Hashable a, Eq a) => Semigroup (HashSet a) Source #  O(n+m) To obtain good performance, the smaller set must be presented as the first argument. Examples

(Hashable a, Eq a) => Monoid (HashSet a) Source #  O(n+m) To obtain good performance, the smaller set must be presented as the first argument. Examples

NFData a => NFData (HashSet a) Source #  
Defined in Data.HashSet.Internal  
Hashable a => Hashable (HashSet a) Source #  
Defined in Data.HashSet.Internal  
type Item (HashSet a) Source #  
Defined in Data.HashSet.Internal 
Construction
singleton :: Hashable a => a > HashSet a Source #
O(1) Construct a set with a single element.
>>>
HashSet.singleton 1
fromList [1]
Basic interface
size :: HashSet a > Int Source #
O(n) Return the number of elements in this set.
>>>
HashSet.size HashSet.empty
0>>>
HashSet.size (HashSet.fromList [1,2,3])
3
insert :: (Eq a, Hashable a) => a > HashSet a > HashSet a Source #
O(log n) Add the specified value to this set.
>>>
HashSet.insert 1 HashSet.empty
fromList [1]
delete :: (Eq a, Hashable a) => a > HashSet a > HashSet a Source #
O(log n) Remove the specified value from this set if present.
>>>
HashSet.delete 1 (HashSet.fromList [1,2,3])
fromList [2,3]>>>
HashSet.delete 1 (HashSet.fromList [4,5,6])
fromList [4,5,6]
isSubsetOf :: (Eq a, Hashable a) => HashSet a > HashSet a > Bool Source #
O(n*log m) Inclusion of sets.
Examples
>>>
fromList [1,3] `isSubsetOf` fromList [1,2,3]
True
>>>
fromList [1,2] `isSubsetOf` fromList [1,3]
False
Since: 0.2.12
Transformations
map :: (Hashable b, Eq b) => (a > b) > HashSet a > HashSet b Source #
O(n) Transform this set by applying a function to every value. The resulting set may be smaller than the source.
>>>
HashSet.map show (HashSet.fromList [1,2,3])
HashSet.fromList ["1","2","3"]
Combine
union :: (Eq a, Hashable a) => HashSet a > HashSet a > HashSet a Source #
O(n+m) Construct a set containing all elements from both sets.
To obtain good performance, the smaller set must be presented as the first argument.
>>>
union (fromList [1,2]) (fromList [2,3])
fromList [1,2,3]
unions :: (Eq a, Hashable a) => [HashSet a] > HashSet a Source #
Construct a set containing all elements from a list of sets.
Difference and intersection
difference :: (Eq a, Hashable a) => HashSet a > HashSet a > HashSet a Source #
O(n) Difference of two sets. Return elements of the first set not existing in the second.
>>>
HashSet.difference (HashSet.fromList [1,2,3]) (HashSet.fromList [2,3,4])
fromList [1]
intersection :: (Eq a, Hashable a) => HashSet a > HashSet a > HashSet a Source #
O(n) Intersection of two sets. Return elements present in both the first set and the second.
>>>
HashSet.intersection (HashSet.fromList [1,2,3]) (HashSet.fromList [2,3,4])
fromList [2,3]
Folds
foldr :: (b > a > a) > a > HashSet b > a Source #
O(n) Reduce this set by applying a binary operator to all elements, using the given starting value (typically the rightidentity of the operator).
foldr' :: (b > a > a) > a > HashSet b > a Source #
O(n) Reduce this set by applying a binary operator to all elements, using the given starting value (typically the rightidentity of the operator). Each application of the operator is evaluated before before using the result in the next application. This function is strict in the starting value.
foldl :: (a > b > a) > a > HashSet b > a Source #
O(n) Reduce this set by applying a binary operator to all elements, using the given starting value (typically the leftidentity of the operator).
foldl' :: (a > b > a) > a > HashSet b > a Source #
O(n) Reduce this set by applying a binary operator to all elements, using the given starting value (typically the leftidentity of the operator). Each application of the operator is evaluated before before using the result in the next application. This function is strict in the starting value.
Filter
filter :: (a > Bool) > HashSet a > HashSet a Source #
O(n) Filter this set by retaining only elements satisfying a predicate.
Conversions
Lists
toList :: HashSet a > [a] Source #
O(n) Return a list of this set's elements. The list is produced lazily.
fromList :: (Eq a, Hashable a) => [a] > HashSet a Source #
O(n*min(W, n)) Construct a set from a list of elements.
HashMaps
toMap :: HashSet a > HashMap a () Source #
O(1) Convert to set to the equivalent HashMap
with ()
values.
>>>
HashSet.toMap (HashSet.singleton 1)
fromList [(1,())]