Learn what is stack data structure and how to implement it in javascript.
A stack is an ordered collection of items that follow (LIFO) Last In First Out principle. The addition and removal of items take place at same end i.e at the top. The newest elements are at the top and the oldest elements are at the bottom unlike in Queue.

We have many examples of stack around us like the pile of books, a stack of trays of dishes etc.
A Stack is used by compilers in programming languages, by computer memory to store variables and functions call, in text editors to perform undo & redo operations.
List of operations performed on Stack
- push(): Adds a single or multiple items to the top of the Stack.
- pop(): Removes and Returns the top item of the Stack.
- peek(): Returns the top item of the Stack.
- isEmpty(): Returns
Trueif Stack is empty,Falseotherwise. - clear(): Removes all the items of the Stack.
- size(): Returns the length of the stack.
Creating a Stack
A classical approach
function Stack(){
var items = [];
var top = 0;
//other methods go here
}
Push an item in the Stack
this.push = function(element){
items[top++] = element
}
//top++, first performs the operation then increment's the value
Pop an item from the Stack
this.pop = function(){
return items[--top];
}
//--top, first decrements the value then performs the operation
Peek top item from the Stack
this.peek = function(){
return items[top - 1];
}
Check if Stack is empty
this.isEmpty = function(){
return top === 0;
}
Clear the Stack
this.clear= function(){
top = 0;
}
Size of the Stack
this.size = function(){
return top;
}
Complete implementation of Stack
function Stack(){
var items = [];
var top = 0;
//other methods go here
//Push an item in the Stack
this.push = function(element){
items[top++] = element
}
//top++, first performs the operation then increment's the value
//Pop an item from the Stack
this.pop = function(){
return items[--top];
}
//--top, first decrements the value then performs the operation
//Peek top item from the Stack
this.peek = function(){
return items[top - 1];
}
//Is Stack empty
this.isEmpty = function(){
return top === 0;
}
//Clear the Stack
this.clear = function(){
top = 0;
}
//Size of the Stack
this.size = function(){
return top;
}
}
Using the Stack
var stack = new Stack(); //creating new instance of Stack stack.push(1); stack.push(2); stack.push(3); console.log(stack.peek()); console.log(stack.isEmpty()); console.log(stack.size()); console.log(stack.pop()); console.log(stack.size()); stack.clear(); console.log(stack.isEmpty()); Output: 3 false 3 3 2 true
Stack data structure in JavaScript with Array
function Stack(){
var items = [];
//other methods go here
}
Push an item in the Stack
this.push = function(element){
items.push(element)
}
Pop an item from the Stack
this.pop = function(){
return items.pop();
}
Peek top item from the Stack
this.peek = function(){
return items[items.length - 1];
}
Check if Stack is empty
this.isEmpty = function(){
return items.length === 0;
}
Clear the Stack
this.clear = function(){
items.length = 0;
}
Size of the Stack
this.size = function(){
return items.length;
}
Complete implementation of Stack
function Stack(){
var items = [];
//other methods go here
//Push an item in the Stack
this.push = function(element){
items.push(element);
}
//Pop an item from the Stack
this.pop = function(){
return items.pop();
}
//Peek top item from the Stack
this.peek = function(){
return items[items.length - 1];
}
//Is Stack empty
this.isEmpty = function(){
return items.length === 0;
}
//Clear the Stack
this.clear = function(){
items.length = 0;
}
//Size of the Stack
this.size = function(){
return items.length;
}
}
Making the properties and methods private with closure and IIFE (Immediately Invoked Function Expression).
var Stack = (function () {
return function Stack(){
var items = [];
var top = 0;
//other methods go here
//Push an item in the Stack
this.push = function(element){
items.push(element);
}
//Pop an item from the Stack
this.pop = function(){
return items.pop();
}
//Peek top item from the Stack
this.peek = function(){
return items[items.length - 1];
}
//Is Stack empty
this.isEmpty = function(){
return items.length === 0;
}
//Clear the Stack
this.clear = function(){
items.length = 0;
}
//Size of the Stack
this.size = function(){
return items.length;
}
}})();
Stack data structure using ES6.
class Stack{
constructor(){
this.items = [];
}
//other methods go here
//Push an item in the Stack
push = function(element){
this.items.push(element);
}
//Pop an item from the Stack
pop = function(){
return this.items.pop();
}
//Peek top item from the Stack
peek = function(){
return this.items[this.items.length - 1];
}
//Is Stack empty
isEmpty = function(){
return this.items.length === 0;
}
//Clear the Stack
clear = function(){
this.items.length = 0;
}
//Size of the Stack
size = function(){
return this.items.length;
}
}
Stack using ES6 WeakMap.
const items = new WeakMap();
class Stack{
constructor(){
items.set(this, []);
}
//other methods go here
//Push an item in the Stack
push = function(element){
let temp = items.get(this);
temp.push(element);
}
//Pop an item from the Stack
pop = function(){
let temp = items.get(this);
return temp.pop();
}
//Peek top item from the Stack
peek = function(){
let temp = items.get(this);
return temp[temp.length - 1];
}
//Is Stack empty
isEmpty = function(){
let temp = items.get(this);
return temp.length === 0;
}
//Clear the Stack
clear = function(){
let temp = items.get(this);
temp.length = 0;
}
//Size of the Stack
size = function(){
let temp = items.get(this);
return temp.length;
}
}
Making the properties and methods private with closure and IIFE (Immediately Invoked Function Expression) for Stack using ES6 WeakMap.
let Stack = (() => {
const items = new WeakMap();
return class Stack{
constructor(){
items.set(this, []);
}
//other methods go here
//Push an item in the Stack
push = function(element){
let temp = items.get(this);
temp.push(element);
}
//Pop an item from the Stack
pop = function(){
let temp = items.get(this);
return temp.pop();
}
//Peek top item from the Stack
peek = function(){
let temp = items.get(this);
return temp[temp.length - 1];
}
//Is Stack empty
isEmpty = function(){
let temp = items.get(this);
return temp.length === 0;
}
//Clear the Stack
clear = function(){
let temp = items.get(this);
temp.length = 0;
}
//Size of the Stack
size = function(){
let temp = items.get(this);
return temp.length;
}
}
})();
Time Complexity
| # | Access | Search | Insert | Delete |
|---|---|---|---|---|
| Average | Θ(N) | Θ(N) | Θ(1) | Θ(1) |
| Worst | O(N) | O(N) | O(1) | O(1) |
Space Complexity
| # | space |
|---|---|
| Worst | O(N) |