sets

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sets Functions for Set Manipulation

Sets are collections of elements with no duplicate elements. The representation of a set is not defined.

This module provides exactly the same interface as the module ordsets but with a defined representation. One difference is that while this module considers two elements as different if they do not match (=:=), ordsets considers two elements as different if and only if they do not compare equal (==).

As returned by new/0.

Return an empty set

Returns a new empty set.

Test for a Set

Returns true if Set is a set of elements, otherwise false.

Return the number of elements in a set

Returns the number of elements in Set.

Convert a Setinto a list

Returns the elements of Set as a list. The order of the returned elements is undefined.

Convert a list into a Set

Returns a set of the elements in List.

Test for membership of a Set

Returns true if Element is an element of Set, otherwise false.

Add an element to a Set

Returns a new set formed from Set1 with Element inserted.

Remove an element from a Set

Returns Set1, but with Element removed.

Return the union of two Sets

Returns the merged (union) set of Set1 and Set2.

Return the union of a list of Sets

Returns the merged (union) set of the list of sets.

Return the intersection of two Sets

Returns the intersection of Set1 and Set2.

Return the intersection of a list of Sets

Returns the intersection of the non-empty list of sets.

Check whether two Sets are disjoint

Returns true if Set1 and Set2 are disjoint (have no elements in common), and false otherwise.

Return the difference of two Sets

Returns only the elements of Set1 which are not also elements of Set2.

Test for subset

Returns true when every element of Set11 is also a member of Set2, otherwise false.

Fold over set elements

Fold Function over every element in Set returning the final value of the accumulator. The evaluation order is undefined.

Filter set elements

Filter elements in Set1 with boolean function Pred.