# sets

### MODULE

sets

### MODULE SUMMARY

Functions for Set Manipulation

### DESCRIPTION

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 (==).

### DATA TYPES

set()
as returned by new/0

### EXPORTS

new() -> Set

is_set(Set) -> bool()

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

size(Set) -> int()

Returns the number of elements in Set.

to_list(Set) -> List

Types:

Set = set()

List = [term()]

Returns the elements of Set as a list.

from_list(List) -> Set

Types:

List = [term()]

Set = set()

Returns an set of the elements in List.

is_element(Element, Set) -> bool()

Types:

Element = term()

Set = set()

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

add_element(Element, Set1) -> Set2

Types:

Element = term()

Set1 = Set2 = set()

Returns a new set formed from Set1 with
Element inserted.

del_element(Element, Set1) -> Set2

Types:

Element = term()

Set1 = Set2 = set()

Returns Set1, but with Element removed.

union(Set1, Set2) -> Set3

Types:

Set1 = Set2 = Set3 = set()

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

union(SetList) -> Set

Types:

SetList = [set()]

Set = set()

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

intersection(Set1, Set2) -> Set3

Types:

Set1 = Set2 = Set3 = set()

Returns the intersection of Set1 and
Set2.

intersection(SetList) -> Set

Types:

SetList = [set()]

Set = set()

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

subtract(Set1, Set2) -> Set3

Types:

Set1 = Set2 = Set3 = set()

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

is_subset(Set1, Set2) -> bool()

Returns true when every element of Set1 is
also a member of Set2, otherwise false.

fold(Function, Acc0, Set) -> Acc1

Types:

Function = fun (E, AccIn) -> AccOut

Acc0 = Acc1 = AccIn = AccOut = term()

Set = set()

Fold Function over every element in Set
returning the final value of the accumulator.

filter(Pred, Set1) -> Set2

Types:

Pred = fun (E) -> bool()

Set1 = Set2 = set()

Filter elements in Set1 with boolean function
Fun.

### See Also

stdlib 1.15

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Ericsson AB