View Source ordsets (stdlib v6.0)
Functions for manipulating sets as ordered lists.
Sets are collections of elements with no duplicate elements. An ordset
is a
representation of a set, where an ordered list is used to store the elements of
the set. An ordered list is more efficient than an unordered list. Elements are
ordered according to the Erlang term order.
This module provides the same interface as the sets
module but with a
defined representation. One difference is that while sets
considers two
elements as different if they do not match (=:=
), this module considers two
elements as different if and only if they do not compare equal (==
).
See the Compatibility Section in the sets
module
for more information about the compatibility of the different implementations of
sets in the Standard Library.
See Also
Summary
Functions
Returns a new ordered set formed from Ordset1
with Element
inserted.
Returns Ordset1
, but with Element
removed.
Filters elements in Ordset1
with boolean function Pred
.
Filters and maps elements in Ordset1
with function Fun
.
Folds Function
over every element in Ordset
and returns the final value of
the accumulator.
Returns an ordered set of the elements in List
.
Returns the intersection of the non-empty list of sets.
Returns the intersection of Ordset1
and Ordset2
.
Returns true
if Ordset1
and Ordset2
are disjoint (have no elements in
common), otherwise false
.
Returns true
if Element
is an element of Ordset
, otherwise false
.
Returns true
if Ordset
is an empty set, otherwise false
.
Returns true
if Ordset1
and Ordset2
are equal, that is when every element
of one set is also a member of the respective other set, otherwise false
.
Returns true
if Ordset
is an ordered set of elements, otherwise false
.
This function will return true
for any ordered list, even when not constructed
by the functions in this module.
Returns true
when every element of Ordset1
is also a member of Ordset2
,
otherwise false
.
Maps elements in Ordset1
with mapping function Fun
.
Returns a new empty ordered set.
Returns the number of elements in Ordset
.
Returns only the elements of Ordset1
that are not also elements of Ordset2
.
Returns the elements of Ordset
as a list.
Returns the merged (union) set of the list of sets.
Returns the merged (union) set of Ordset1
and Ordset2
.
Types
-type ordset(T) :: [T].
As returned by new/0
.
Functions
-spec add_element(Element, Ordset1) -> Ordset2 when Element :: E, Ordset1 :: ordset(T), Ordset2 :: ordset(T | E).
Returns a new ordered set formed from Ordset1
with Element
inserted.
-spec del_element(Element, Ordset1) -> Ordset2 when Element :: term(), Ordset1 :: ordset(T), Ordset2 :: ordset(T).
Returns Ordset1
, but with Element
removed.
-spec filter(Pred, Ordset1) -> Ordset2 when Pred :: fun((Element :: T) -> boolean()), Ordset1 :: ordset(T), Ordset2 :: ordset(T).
Filters elements in Ordset1
with boolean function Pred
.
-spec filtermap(Fun, Ordset1) -> Ordset2 when Fun :: fun((Element1 :: T1) -> boolean | {true, Element2 :: T2}), Ordset1 :: ordset(T1), Ordset2 :: ordset(T1 | T2).
Filters and maps elements in Ordset1
with function Fun
.
-spec fold(Function, Acc0, Ordset) -> Acc1 when Function :: fun((Element :: T, AccIn :: term()) -> AccOut :: term()), Ordset :: ordset(T), Acc0 :: term(), Acc1 :: term().
Folds Function
over every element in Ordset
and returns the final value of
the accumulator.
-spec from_list(List) -> Ordset when List :: [T], Ordset :: ordset(T).
Returns an ordered set of the elements in List
.
Returns the intersection of the non-empty list of sets.
-spec intersection(Ordset1, Ordset2) -> Ordset3 when Ordset1 :: ordset(_), Ordset2 :: ordset(_), Ordset3 :: ordset(_).
Returns the intersection of Ordset1
and Ordset2
.
Returns true
if Ordset1
and Ordset2
are disjoint (have no elements in
common), otherwise false
.
Returns true
if Element
is an element of Ordset
, otherwise false
.
Returns true
if Ordset
is an empty set, otherwise false
.
Returns true
if Ordset1
and Ordset2
are equal, that is when every element
of one set is also a member of the respective other set, otherwise false
.
Returns true
if Ordset
is an ordered set of elements, otherwise false
.
This function will return true
for any ordered list, even when not constructed
by the functions in this module.
Returns true
when every element of Ordset1
is also a member of Ordset2
,
otherwise false
.
-spec map(Fun, Ordset1) -> Ordset2 when Fun :: fun((Element1 :: T1) -> Element2 :: T2), Ordset1 :: ordset(T1), Ordset2 :: ordset(T2).
Maps elements in Ordset1
with mapping function Fun
.
-spec new() -> [].
Returns a new empty ordered set.
-spec size(Ordset) -> non_neg_integer() when Ordset :: ordset(_).
Returns the number of elements in Ordset
.
-spec subtract(Ordset1, Ordset2) -> Ordset3 when Ordset1 :: ordset(_), Ordset2 :: ordset(_), Ordset3 :: ordset(_).
Returns only the elements of Ordset1
that are not also elements of Ordset2
.
-spec to_list(Ordset) -> List when Ordset :: ordset(T), List :: [T].
Returns the elements of Ordset
as a list.
Returns the merged (union) set of the list of sets.
-spec union(Ordset1, Ordset2) -> Ordset3 when Ordset1 :: ordset(T1), Ordset2 :: ordset(T2), Ordset3 :: ordset(T1 | T2).
Returns the merged (union) set of Ordset1
and Ordset2
.