This library provides the Set
class, which implements a collection of unordered values with no duplicates. It is a hybrid of Array’s intuitive inter-operation facilities and Hash’s fast lookup.
The method to_set
is added to Enumerable
for convenience.
Set
is easy to use with Enumerable
objects (implementing each
). Most of the initializer methods and binary operators accept generic Enumerable
objects besides sets and arrays. An Enumerable
object can be converted to Set
using the to_set
method.
Set
uses Hash
as storage, so you must note the following points:
-
Equality of elements is determined according to
Object#eql?
andObject#hash
. UseSet#compare_by_identity
to make a set compare its elements by their identity. -
Set
assumes that the identity of each element does not change while it is stored. Modifying an element of a set will render the set to an unreliable state. -
When a string is to be stored, a frozen copy of the string is stored instead unless the original string is already frozen.
Comparison
The comparison operators <
, >
, <=
, and >=
are implemented as shorthand for the {proper_,}{subset?,superset?} methods. The <=>
operator reflects this order, or return nil
for sets that both have distinct elements ({x, y}
vs. {x, z}
for example).
Example
require 'set' s1 = Set[1, 2] #=> #<Set: {1, 2}> s2 = [1, 2].to_set #=> #<Set: {1, 2}> s1 == s2 #=> true s1.add("foo") #=> #<Set: {1, 2, "foo"}> s1.merge([2, 6]) #=> #<Set: {1, 2, "foo", 6}> s1.subset?(s2) #=> false s2.subset?(s1) #=> true
Contact
-
Akinori MUSHA <knu@iDaemons.org> (current maintainer)
What’s Here
First, what’s elsewhere. Class Set:
-
Inherits from class Object.
-
Includes module Enumerable, which provides dozens of additional methods.
In particular, class Set does not have many methods of its own for fetching or for iterating. Instead, it relies on those in Enumerable.
Here, class Set provides methods that are useful for:
Methods for Creating a Set
-
::[]
: Returns a new set containing the given objects. -
::new
: Returns a new set containing either the given objects (if no block given) or the return values from the called block (if a block given).
Methods for Set Operations
-
| (aliased as
union
and+
): Returns a new set containing all elements fromself
and all elements from a given enumerable (no duplicates). -
& (aliased as
intersection
): Returns a new set containing all elements common toself
and a given enumerable. -
- (aliased as
difference
): Returns a copy ofself
with all elements in a given enumerable removed. -
^: Returns a new set containing all elements from
self
and a given enumerable except those common to both.
Methods for Comparing
-
<=>: Returns -1, 0, or 1 as
self
is less than, equal to, or greater than a given object. -
==: Returns whether
self
and a given enumerable are equal, as determined byObject#eql?
. -
compare_by_identity?
: Returns whether the set considers only identity when comparing elements.
Methods for Querying
-
empty?
: Returns whether the set has no elements. -
include?
(aliased asmember?
and===
): Returns whether a given object is an element in the set. -
subset?
(aliased as <=): Returns whether a given object is a subset of the set. -
proper_subset?
(aliased as <): Returns whether a given enumerable is a proper subset of the set. -
superset?
(aliased as >=]): Returns whether a given enumerable is a superset of the set. -
proper_superset?
(aliased as >): Returns whether a given enumerable is a proper superset of the set. -
disjoint?
: Returnstrue
if the set and a given enumerable have no common elements,false
otherwise. -
intersect?
: Returnstrue
if the set and a given enumerable: have any common elements,false
otherwise. -
compare_by_identity?
: Returns whether the set considers only identity when comparing elements.
Methods for Assigning
-
add
(aliased as<<
): Adds a given object to the set; returnsself
. -
add?
: If the given object is not an element in the set, adds it and returnsself
; otherwise, returnsnil
. -
merge
: Merges the elements of each given enumerable object to the set; returnsself
. -
replace
: Replaces the contents of the set with the contents of a given enumerable.
Methods for Deleting
-
clear
: Removes all elements in the set; returnsself
. -
delete
: Removes a given object from the set; returnsself
. -
delete?
: If the given object is an element in the set, removes it and returnsself
; otherwise, returnsnil
. -
subtract
: Removes each given object from the set; returnsself
. -
delete_if
- Removes elements specified by a given block. -
select!
(aliased asfilter!
): Removes elements not specified by a given block. -
keep_if
: Removes elements not specified by a given block. -
reject!
Removes elements specified by a given block.
Methods for Converting
-
classify
: Returns a hash that classifies the elements, as determined by the given block. -
collect!
(aliased asmap!
): Replaces each element with a block return-value. -
divide
: Returns a hash that classifies the elements, as determined by the given block; differs fromclassify
in that the block may accept either one or two arguments. -
flatten
: Returns a new set that is a recursive flattening ofself
.flatten!
: Replaces each nested set inself
with the elements from that set. -
inspect
(aliased asto_s
): Returns a string displaying the elements. -
join
: Returns a string containing all elements, converted to strings as needed, and joined by the given record separator. -
to_a
: Returns an array containing all set elements. -
to_set
: Returnsself
if given no arguments and no block; with a block given, returns a new set consisting of block return values.
Methods for Iterating
-
each
: Calls the block with each successive element; returnsself
.
Other Methods
-
reset
: Resets the internal state; useful if an object has been modified while an element in the set.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 228
def self.[](*ary)
new(ary)
end
Creates a new set containing the given objects.
Set[1, 2] # => #<Set: {1, 2}> Set[1, 2, 1] # => #<Set: {1, 2}> Set[1, 'c', :s] # => #<Set: {1, "c", :s}>
# File tmp/rubies/ruby-3.3.0/ext/json/lib/json/add/set.rb, line 9
def self.json_create(object)
new object['a']
end
See as_json
.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 243
def initialize(enum = nil, &block) # :yields: o
@hash ||= Hash.new(false)
enum.nil? and return
if block
do_with_enum(enum) { |o| add(block[o]) }
else
merge(enum)
end
end
Creates a new set containing the elements of the given enumerable object.
If a block is given, the elements of enum are preprocessed by the given block.
Set.new([1, 2]) #=> #<Set: {1, 2}> Set.new([1, 2, 1]) #=> #<Set: {1, 2}> Set.new([1, 'c', :s]) #=> #<Set: {1, "c", :s}> Set.new(1..5) #=> #<Set: {1, 2, 3, 4, 5}> Set.new([1, 2, 3]) { |x| x * x } #=> #<Set: {1, 4, 9}>
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 640
def &(enum)
n = self.class.new
if enum.is_a?(Set)
if enum.size > size
each { |o| n.add(o) if enum.include?(o) }
else
enum.each { |o| n.add(o) if include?(o) }
end
else
do_with_enum(enum) { |o| n.add(o) if include?(o) }
end
n
end
Returns a new set containing elements common to the set and the given enumerable object.
Set[1, 3, 5] & Set[3, 2, 1] #=> #<Set: {3, 1}> Set['a', 'b', 'z'] & ['a', 'b', 'c'] #=> #<Set: {"a", "b"}>
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 630
def -(enum)
dup.subtract(enum)
end
Returns a new set built by duplicating the set, removing every element that appears in the given enumerable object.
Set[1, 3, 5] - Set[1, 5] #=> #<Set: {3}> Set['a', 'b', 'z'] - ['a', 'c'] #=> #<Set: {"b", "z"}>
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 453
def <=>(set)
return unless set.is_a?(Set)
case size <=> set.size
when -1 then -1 if proper_subset?(set)
when +1 then +1 if proper_superset?(set)
else 0 if self.==(set)
end
end
Returns 0 if the set are equal, -1 / +1 if the set is a proper subset / superset of the given set, or nil if they both have unique elements.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 674
def ==(other)
if self.equal?(other)
true
elsif other.instance_of?(self.class)
@hash == other.instance_variable_get(:@hash)
elsif other.is_a?(Set) && self.size == other.size
other.all? { |o| @hash.include?(o) }
else
false
end
end
Returns true if two sets are equal. The equality of each couple of elements is defined according to Object#eql?
.
Set[1, 2] == Set[2, 1] #=> true Set[1, 3, 5] == Set[1, 5] #=> false Set['a', 'b', 'c'] == Set['a', 'c', 'b'] #=> true Set['a', 'b', 'c'] == ['a', 'c', 'b'] #=> false
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 661
def ^(enum)
n = Set.new(enum)
each { |o| n.add(o) unless n.delete?(o) }
n
end
Returns a new set containing elements exclusive between the set and the given enumerable object. (set ^ enum)
is equivalent to ((set | enum) - (set & enum))
.
Set[1, 2] ^ Set[2, 3] #=> #<Set: {3, 1}> Set[1, 'b', 'c'] ^ ['b', 'd'] #=> #<Set: {"d", 1, "c"}>
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 511
def add(o)
@hash[o] = true
self
end
Adds the given object to the set and returns self. Use merge
to add many elements at once.
Set[1, 2].add(3) #=> #<Set: {1, 2, 3}> Set[1, 2].add([3, 4]) #=> #<Set: {1, 2, [3, 4]}> Set[1, 2].add(2) #=> #<Set: {1, 2}>
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 523
def add?(o)
add(o) unless include?(o)
end
Adds the given object to the set and returns self. If the object is already in the set, returns nil.
Set[1, 2].add?(3) #=> #<Set: {1, 2, 3}> Set[1, 2].add?([3, 4]) #=> #<Set: {1, 2, [3, 4]}> Set[1, 2].add?(2) #=> nil
# File tmp/rubies/ruby-3.3.0/ext/json/lib/json/add/set.rb, line 28
def as_json(*)
{
JSON.create_id => self.class.name,
'a' => to_a,
}
end
Methods Set#as_json
and Set.json_create
may be used to serialize and deserialize a Set object; see Marshal
.
Method Set#as_json
serializes self
, returning a 2-element hash representing self
:
require 'json/add/set' x = Set.new(%w/foo bar baz/).as_json # => {"json_class"=>"Set", "a"=>["foo", "bar", "baz"]}
Method JSON.create
deserializes such a hash, returning a Set object:
Set.json_create(x) # => #<Set: {"foo", "bar", "baz"}>
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 743
def classify # :yields: o
block_given? or return enum_for(__method__) { size }
h = {}
each { |i|
(h[yield(i)] ||= self.class.new).add(i)
}
h
end
Classifies the set by the return value of the given block and returns a hash of {value => set of elements} pairs. The block is called once for each element of the set, passing the element as parameter.
require 'set' files = Set.new(Dir.glob("*.rb")) hash = files.classify { |f| File.mtime(f).year } hash #=> {2000=>#<Set: {"a.rb", "b.rb"}>, # 2001=>#<Set: {"c.rb", "d.rb", "e.rb"}>, # 2002=>#<Set: {"f.rb"}>}
Returns an enumerator if no block is given.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 316
def clear
@hash.clear
self
end
Removes all elements and returns self.
set = Set[1, 'c', :s] #=> #<Set: {1, "c", :s}> set.clear #=> #<Set: {}> set #=> #<Set: {}>
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 564
def collect!
block_given? or return enum_for(__method__) { size }
set = self.class.new
each { |o| set << yield(o) }
replace(set)
end
Replaces the elements with ones returned by collect()
. Returns an enumerator if no block is given.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 257
def compare_by_identity
if @hash.respond_to?(:compare_by_identity)
@hash.compare_by_identity
self
else
raise NotImplementedError, "#{self.class.name}\##{__method__} is not implemented"
end
end
Makes the set compare its elements by their identity and returns self. This method may not be supported by all subclasses of Set
.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 268
def compare_by_identity?
@hash.respond_to?(:compare_by_identity?) && @hash.compare_by_identity?
end
Returns true if the set will compare its elements by their identity. Also see Set#compare_by_identity
.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 529
def delete(o)
@hash.delete(o)
self
end
Deletes the given object from the set and returns self. Use subtract
to delete many items at once.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 536
def delete?(o)
delete(o) if include?(o)
end
Deletes the given object from the set and returns self. If the object is not in the set, returns nil.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 543
def delete_if
block_given? or return enum_for(__method__) { size }
# @hash.delete_if should be faster, but using it breaks the order
# of enumeration in subclasses.
select { |o| yield o }.each { |o| @hash.delete(o) }
self
end
Deletes every element of the set for which block evaluates to true, and returns self. Returns an enumerator if no block is given.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 492
def disjoint?(set)
!intersect?(set)
end
Returns true if the set and the given enumerable have no element in common. This method is the opposite of intersect?
.
Set[1, 2, 3].disjoint? Set[3, 4] #=> false Set[1, 2, 3].disjoint? Set[4, 5] #=> true Set[1, 2, 3].disjoint? [3, 4] #=> false Set[1, 2, 3].disjoint? 4..5 #=> true
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 771
def divide(&func)
func or return enum_for(__method__) { size }
if func.arity == 2
require 'tsort'
class << dig = {} # :nodoc:
include TSort
alias tsort_each_node each_key
def tsort_each_child(node, &block)
fetch(node).each(&block)
end
end
each { |u|
dig[u] = a = []
each{ |v| func.call(u, v) and a << v }
}
set = Set.new()
dig.each_strongly_connected_component { |css|
set.add(self.class.new(css))
}
set
else
Set.new(classify(&func).values)
end
end
Divides the set into a set of subsets according to the commonality defined by the given block.
If the arity of the block is 2, elements o1 and o2 are in common if block.call(o1, o2) is true. Otherwise, elements o1 and o2 are in common if block.call(o1) == block.call(o2).
require 'set' numbers = Set[1, 3, 4, 6, 9, 10, 11] set = numbers.divide { |i,j| (i - j).abs == 1 } set #=> #<Set: {#<Set: {1}>, # #<Set: {11, 9, 10}>, # #<Set: {3, 4}>, # #<Set: {6}>}>
Returns an enumerator if no block is given.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 499
def each(&block)
block_given? or return enum_for(__method__) { size }
@hash.each_key(&block)
self
end
Calls the given block once for each element in the set, passing the element as parameter. Returns an enumerator if no block is given.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 307
def empty?
@hash.empty?
end
Returns true if the set contains no elements.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 377
def flatten
self.class.new.flatten_merge(self)
end
Returns a new set that is a copy of the set, flattening each containing set recursively.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 383
def flatten!
replace(flatten()) if any?(Set)
end
Equivalent to Set#flatten
, but replaces the receiver with the result in place. Returns nil if no modifications were made.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 393
def include?(o)
@hash[o]
end
Returns true if the set contains the given object.
Note that include?
and member?
do not test member equality using ==
as do other Enumerables.
See also Enumerable#include?
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 290
def initialize_clone(orig, **options)
super
@hash = orig.instance_variable_get(:@hash).clone(**options)
end
Clone internal hash.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 284
def initialize_dup(orig)
super
@hash = orig.instance_variable_get(:@hash).dup
end
Dup internal hash.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 811
def inspect
ids = (Thread.current[InspectKey] ||= [])
if ids.include?(object_id)
return sprintf('#<%s: {...}>', self.class.name)
end
ids << object_id
begin
return sprintf('#<%s: {%s}>', self.class, to_a.inspect[1..-2])
ensure
ids.pop
end
end
Returns a string containing a human-readable representation of the set (“#<Set: {element1, element2, …}>”).
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 470
def intersect?(set)
case set
when Set
if size < set.size
any?(set)
else
set.any?(self)
end
when Enumerable
set.any?(self)
else
raise ArgumentError, "value must be enumerable"
end
end
Returns true if the set and the given enumerable have at least one element in common.
Set[1, 2, 3].intersect? Set[4, 5] #=> false Set[1, 2, 3].intersect? Set[3, 4] #=> true Set[1, 2, 3].intersect? 4..5 #=> false Set[1, 2, 3].intersect? [3, 4] #=> true
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 803
def join(separator=nil)
to_a.join(separator)
end
Returns a string created by converting each element of the set to a string See also: Array#join
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 554
def keep_if
block_given? or return enum_for(__method__) { size }
# @hash.keep_if should be faster, but using it breaks the order of
# enumeration in subclasses.
reject { |o| yield o }.each { |o| @hash.delete(o) }
self
end
Deletes every element of the set for which block evaluates to false, and returns self. Returns an enumerator if no block is given.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 595
def merge(*enums, **nil)
enums.each do |enum|
if enum.instance_of?(self.class)
@hash.update(enum.instance_variable_get(:@hash))
else
do_with_enum(enum) { |o| add(o) }
end
end
self
end
Merges the elements of the given enumerable objects to the set and returns self.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 438
def proper_subset?(set)
case
when set.instance_of?(self.class) && @hash.respond_to?(:<)
@hash < set.instance_variable_get(:@hash)
when set.is_a?(Set)
size < set.size && all?(set)
else
raise ArgumentError, "value must be a set"
end
end
Returns true if the set is a proper subset of the given set.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 412
def proper_superset?(set)
case
when set.instance_of?(self.class) && @hash.respond_to?(:>)
@hash > set.instance_variable_get(:@hash)
when set.is_a?(Set)
size > set.size && set.all?(self)
else
raise ArgumentError, "value must be a set"
end
end
Returns true if the set is a proper superset of the given set.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 574
def reject!(&block)
block_given? or return enum_for(__method__) { size }
n = size
delete_if(&block)
self if size != n
end
Equivalent to Set#delete_if
, but returns nil if no changes were made. Returns an enumerator if no block is given.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 327
def replace(enum)
if enum.instance_of?(self.class)
@hash.replace(enum.instance_variable_get(:@hash))
self
else
do_with_enum(enum) # make sure enum is enumerable before calling clear
clear
merge(enum)
end
end
Replaces the contents of the set with the contents of the given enumerable object and returns self.
set = Set[1, 'c', :s] #=> #<Set: {1, "c", :s}> set.replace([1, 2]) #=> #<Set: {1, 2}> set #=> #<Set: {1, 2}>
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 699
def reset
if @hash.respond_to?(:rehash)
@hash.rehash # This should perform frozenness check.
else
raise FrozenError, "can't modify frozen #{self.class.name}" if frozen?
end
self
end
Resets the internal state after modification to existing elements and returns self.
Elements will be reindexed and deduplicated.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 583
def select!(&block)
block_given? or return enum_for(__method__) { size }
n = size
keep_if(&block)
self if size != n
end
Equivalent to Set#keep_if
, but returns nil if no changes were made. Returns an enumerator if no block is given.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 301
def size
@hash.size
end
Returns the number of elements.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 425
def subset?(set)
case
when set.instance_of?(self.class) && @hash.respond_to?(:<=)
@hash <= set.instance_variable_get(:@hash)
when set.is_a?(Set)
size <= set.size && all?(set)
else
raise ArgumentError, "value must be a set"
end
end
Returns true if the set is a subset of the given set.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 609
def subtract(enum)
do_with_enum(enum) { |o| delete(o) }
self
end
Deletes every element that appears in the given enumerable object and returns self.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 399
def superset?(set)
case
when set.instance_of?(self.class) && @hash.respond_to?(:>=)
@hash >= set.instance_variable_get(:@hash)
when set.is_a?(Set)
size >= set.size && set.all?(self)
else
raise ArgumentError, "value must be a set"
end
end
Returns true if the set is a superset of the given set.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 342
def to_a
@hash.keys
end
Converts the set to an array. The order of elements is uncertain.
Set[1, 2].to_a #=> [1, 2] Set[1, 'c', :s].to_a #=> [1, "c", :s]
# File tmp/rubies/ruby-3.3.0/ext/json/lib/json/add/set.rb, line 44
def to_json(*args)
as_json.to_json(*args)
end
Returns a JSON
string representing self
:
require 'json/add/set' puts Set.new(%w/foo bar baz/).to_json
Output:
{"json_class":"Set","a":["foo","bar","baz"]}
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 351
def to_set(klass = Set, *args, &block)
return self if instance_of?(Set) && klass == Set && block.nil? && args.empty?
klass.new(self, *args, &block)
end
Returns self if no arguments are given. Otherwise, converts the set to another with klass.new(self, *args, &block)
.
In subclasses, returns klass.new(self, *args, &block)
unless overridden.
# File tmp/rubies/ruby-3.3.0/lib/set.rb, line 619
def |(enum)
dup.merge(enum)
end
Returns a new set built by merging the set and the elements of the given enumerable object.
Set[1, 2, 3] | Set[2, 4, 5] #=> #<Set: {1, 2, 3, 4, 5}> Set[1, 5, 'z'] | (1..6) #=> #<Set: {1, 5, "z", 2, 3, 4, 6}>