A set of integers.

O(n+m). See difference.

O(1). Is the set empty?

O(n). Cardinality of the set.

O(min(n,W)). Is the value a member of the set?

O(min(n,W)). Is the element not in the set?

O(n+m). Is this a subset? (s1 `isSubsetOf` s2) tells whether s1 is a subset of s2.

O(n+m). Is this a proper subset? (ie. a subset but not equal).

O(n+m). Check whether two sets are disjoint (i.e. their intersection is empty).

disjoint (fromList [2,4,6])   (fromList [1,3])     == True
disjoint (fromList [2,4,6,8]) (fromList [2,3,5,7]) == False
disjoint (fromList [1,2])     (fromList [1,2,3,4]) == False
disjoint (fromList [])        (fromList [])        == True

Since: 0.5.11

O(1). The empty set.

O(1). A set of one element.

O(min(n,W)). Add a value to the set. There is no left- or right bias for IntSets.

O(min(n,W)). Delete a value in the set. Returns the original set when the value was not present.

O(n+m). The union of two sets.

O(n+m). Difference between two sets.

O(n+m). The intersection of two sets.

O(n). Filter all elements that satisfy some predicate.

O(n). partition the set according to some predicate.

O(min(n,W)). The expression (split x set) is a pair (set1,set2) where set1 comprises the elements of set less than x and set2 comprises the elements of set greater than x.

split 3 (fromList [1..5]) == (fromList [1,2], fromList [4,5])

O(min(n,W)). Performs a split but also returns whether the pivot element was found in the original set.

O(n). Fold the elements in the set using the given right-associative binary operator, such that foldr f z == foldr f z . toAscList.

For example,

toAscList set = foldr (:) [] set

O(n). Fold the elements in the set using the given left-associative binary operator, such that foldl f z == foldl f z . toAscList.

For example,

toDescList set = foldl (flip (:)) [] set

O(n). A strict version of foldr. Each application of the operator is evaluated before using the result in the next application. This function is strict in the starting value.

O(n). A strict version of foldl. Each application of the operator is evaluated before using the result in the next application. This function is strict in the starting value.

O(n). Fold the elements in the set using the given right-associative binary operator. This function is an equivalent of foldr and is present for compatibility only.

Please note that fold will be deprecated in the future and removed.

O(n). An alias of toAscList. The elements of a set in ascending order. Subject to list fusion.

O(n). Convert the set to a list of elements. Subject to list fusion.

O(n*min(n,W)). Create a set from a list of integers.

O(n). Convert the set to an ascending list of elements. Subject to list fusion.

O(n). Convert the set to a descending list of elements. Subject to list fusion.