UNB/ CS/ David Bremner/ teaching/ cs2613/ books/ mdn/ Reference/ Global Objects/ Set

The Set object lets you store unique values of any type, whether or object references.

Description

Set objects are collections of values. A value in the set may only occur once; it is unique in the set's collection. You can iterate through the elements of a set in insertion order. The insertion order corresponds to the order in which each element was inserted into the set by the add() method successfully (that is, there wasn't an identical element already in the set when add() was called).

The specification requires sets to be implemented "that, on average, provide access times that are sublinear on the number of elements in the collection". Therefore, it could be represented internally as a hash table (with O(1) lookup), a search tree (with O(log(N)) lookup), or any other data structure, as long as the complexity is better than O(N).

Value equality

Value equality is based on the SameValueZero algorithm. (It used to use SameValue, which treated 0 and -0 as different. Check browser compatibility.) This means NaN is considered the same as NaN (even though NaN !== NaN) and all other values are considered equal according to the semantics of the === operator.

Performance

The has method checks if a value is in the set, using an approach that is, on average, quicker than testing most of the elements that have previously been added to the set. In particular, it is, on average, faster than the Array.prototype.includes method when an array has a length equal to a set's size.

Set-like browser APIs

Browser Set-like objects (or "setlike objects") are Web API interfaces that behave in many ways like a Set.

Just like Set, elements can be iterated in the same order that they were added to the object. Set-like objects and Set also have properties and methods that share the same name and behavior. However unlike Set they only allow a specific predefined type for each entry.

The allowed types are set in the specification IDL definition. For example, is a Set-like object that must use strings as the key/value. This is defined in the specification IDL below:

interface GPUSupportedFeatures {
  readonly setlike<DOMString>;
};

Set-like objects are either read-only or read-writable (see the readonly keyword in the IDL above).

The methods and properties have the same behavior as the equivalent entities in Set, except for the restriction on the types of the entry.

The following are examples of read-only Set-like browser objects:

The following are examples of writable Set-like browser objects:

Constructor

Static properties

Instance properties

These properties are defined on Set.prototype and shared by all Set instances.

Instance methods

Examples

Using the Set object

const mySet1 = new Set();

mySet1.add(1); // Set(1) { 1 }
mySet1.add(5); // Set(2) { 1, 5 }
mySet1.add(5); // Set(2) { 1, 5 }
mySet1.add("some text"); // Set(3) { 1, 5, 'some text' }
const o = { a: 1, b: 2 };
mySet1.add(o);

mySet1.add({ a: 1, b: 2 }); // o is referencing a different object, so this is okay

mySet1.has(1); // true
mySet1.has(3); // false, since 3 has not been added to the set
mySet1.has(5); // true
mySet1.has(Math.sqrt(25)); // true
mySet1.has("Some Text".toLowerCase()); // true
mySet1.has(o); // true

mySet1.size; // 5

mySet1.delete(5); // removes 5 from the set
mySet1.has(5); // false, 5 has been removed

mySet1.size; // 4, since we just removed one value

mySet1.add(5); // Set(5) { 1, 'some text', {...}, {...}, 5 } - a previously deleted item will be added as a new item, it will not retain its original position before deletion

console.log(mySet1); // Set(5) { 1, "some text", {…}, {…}, 5 }

Iterating sets

The iteration over a set visits elements in insertion order.

for (const item of mySet1) {
  console.log(item);
}
// 1, "some text", { "a": 1, "b": 2 }, { "a": 1, "b": 2 }, 5

for (const item of mySet1.keys()) {
  console.log(item);
}
// 1, "some text", { "a": 1, "b": 2 }, { "a": 1, "b": 2 }, 5

for (const item of mySet1.values()) {
  console.log(item);
}
// 1, "some text", { "a": 1, "b": 2 }, { "a": 1, "b": 2 }, 5

// key and value are the same here
for (const [key, value] of mySet1.entries()) {
  console.log(key);
}
// 1, "some text", { "a": 1, "b": 2 }, { "a": 1, "b": 2 }, 5

// Convert Set object to an Array object, with Array.from
const myArr = Array.from(mySet1); // [1, "some text", {"a": 1, "b": 2}, {"a": 1, "b": 2}, 5]

// the following will also work if run in an HTML document
mySet1.add(document.body);
mySet1.has(document.querySelector("body")); // true

// converting between Set and Array
const mySet2 = new Set([1, 2, 3, 4]);
console.log(mySet2.size); // 4
console.log([...mySet2]); // [1, 2, 3, 4]

// intersect can be simulated via
const intersection = new Set([...mySet1].filter((x) => mySet2.has(x)));

// difference can be simulated via
const difference = new Set([...mySet1].filter((x) => !mySet2.has(x)));

// Iterate set entries with forEach()
mySet2.forEach((value) => {
  console.log(value);
});
// 1
// 2
// 3
// 4

Implementing basic set operations

function isSuperset(set, subset) {
  for (const elem of subset) {
    if (!set.has(elem)) {
      return false;
    }
  }
  return true;
}

function union(setA, setB) {
  const _union = new Set(setA);
  for (const elem of setB) {
    _union.add(elem);
  }
  return _union;
}

function intersection(setA, setB) {
  const _intersection = new Set();
  for (const elem of setB) {
    if (setA.has(elem)) {
      _intersection.add(elem);
    }
  }
  return _intersection;
}

function symmetricDifference(setA, setB) {
  const _difference = new Set(setA);
  for (const elem of setB) {
    if (_difference.has(elem)) {
      _difference.delete(elem);
    } else {
      _difference.add(elem);
    }
  }
  return _difference;
}

function difference(setA, setB) {
  const _difference = new Set(setA);
  for (const elem of setB) {
    _difference.delete(elem);
  }
  return _difference;
}

// Examples
const setA = new Set([1, 2, 3, 4]);
const setB = new Set([2, 3]);
const setC = new Set([3, 4, 5, 6]);

isSuperset(setA, setB); // returns true
union(setA, setC); // returns Set {1, 2, 3, 4, 5, 6}
intersection(setA, setC); // returns Set {3, 4}
symmetricDifference(setA, setC); // returns Set {1, 2, 5, 6}
difference(setA, setC); // returns Set {1, 2}

Relation to arrays

const myArray = ["value1", "value2", "value3"];

// Use the regular Set constructor to transform an Array into a Set
const mySet = new Set(myArray);

mySet.has("value1"); // returns true

// Use the spread syntax to transform a set into an Array.
console.log([...mySet]); // Will show you exactly the same Array as myArray

Remove duplicate elements from an array

// Use to remove duplicate elements from an array

const numbers = [2, 13, 4, 4, 2, 13, 13, 4, 4, 5, 5, 6, 6, 7, 5, 32, 13, 4, 5];

console.log([...new Set(numbers)]);

// [2, 13, 4, 5, 6, 7, 32]

Relation to strings

const text = "India";

const mySet = new Set(text); // Set(5) {'I', 'n', 'd', 'i', 'a'}
mySet.size; // 5

// case sensitive & duplicate omission
new Set("Firefox"); // Set(7) { "F", "i", "r", "e", "f", "o", "x" }
new Set("firefox"); // Set(6) { "f", "i", "r", "e", "o", "x" }

Use a set to ensure the uniqueness of a list of values

const array = Array.from(document.querySelectorAll("[id]")).map((e) => e.id);

const set = new Set(array);
console.assert(set.size === array.length);

Specifications

Browser compatibility

See also