Global scope in Javascript - Time & Space Complexity

Time Complexity: Global scope

O(n)

Understanding Time Complexity

Let's explore how using global variables affects the time complexity of JavaScript code.

We want to see if accessing or modifying global variables changes how long the program takes as input grows.

Scenario Under Consideration

Analyze the time complexity of the following code snippet.

let count = 0; // global variable

function incrementArray(arr) {
  for (let i = 0; i < arr.length; i++) {
    count += arr[i];
  }
  return count;
}

const numbers = [1, 2, 3, 4, 5];
incrementArray(numbers);
    

This code sums all numbers in an array and adds them to a global variable called count.

Identify Repeating Operations

Identify the loops, recursion, array traversals that repeat.

• Primary operation: A single loop that goes through each item in the array.
• How many times: The loop runs once for every element in the array.

How Execution Grows With Input

As the array gets bigger, the loop runs more times, doing more additions to the global variable.

Input Size (n)	Approx. Operations
10	10 additions
100	100 additions
1000	1000 additions

Pattern observation: The number of operations grows directly with the size of the input array.

Final Time Complexity

Time Complexity: O(n)

This means the time to run the function grows in a straight line as the input array gets bigger.

Common Mistake

[X] Wrong: "Using a global variable makes the code slower because it adds extra work each time."

[OK] Correct: Accessing or updating a global variable is a simple operation and does not add extra loops or repeated work that grows with input size.

Interview Connect

Understanding how global variables affect performance helps you write clear and efficient code, a skill valued in real projects and interviews.

Self-Check

"What if the function called itself recursively instead of using a loop? How would the time complexity change?"

Practice

1. What does it mean when a variable is in the global scope in JavaScript?

easy

A. The variable can be accessed anywhere in the code.

B. The variable can only be used inside a function.

C. The variable is hidden from all parts of the code.

D. The variable is deleted after a function finishes.

Solution

1. Step 1: Understand global scope meaning

   Global scope means a variable is declared outside any function and is accessible everywhere in the code.

2. Step 2: Compare options with definition

   Only The variable can be accessed anywhere in the code. correctly states that the variable can be accessed anywhere.

3. Final Answer:

   The variable can be accessed anywhere in the code. -> Option A

4. Quick Check:

   Global scope = accessible everywhere [OK]

Hint: Global variables are outside functions, accessible everywhere [OK]

Common Mistakes:

• Thinking global variables are only inside functions
• Confusing global with local scope
• Believing global variables disappear after function ends

2. Which of the following is the correct way to declare a global variable in JavaScript?

easy

A. Inside a function using let

B. Outside any function using var

C. Inside a block using const

D. Inside a function using const

Solution

1. Step 1: Identify where to declare global variables

   Global variables must be declared outside any function or block.

2. Step 2: Check declaration keywords

   Using var outside functions creates a global variable. Options A, B, and D declare inside functions or blocks, so they are not global.

3. Final Answer:

   Outside any function using var -> Option B

4. Quick Check:

   Global variable = declared outside functions [OK]

Hint: Declare global variables outside functions with var [OK]

Common Mistakes:

• Declaring variables inside functions and expecting global scope
• Using let or const inside blocks thinking they are global
• Confusing block scope with global scope

3. What will be the output of this code?

var x = 10;
function show() {
  console.log(x);
}
show();

medium

A. 10

B. undefined

C. ReferenceError

D. null

Solution

1. Step 1: Identify variable scope

   Variable x is declared globally with var and has value 10.

2. Step 2: Check function access

   The function show logs x. Since x is global, it is accessible inside the function.

3. Final Answer:

   10 -> Option A

4. Quick Check:

   Global variable accessed inside function = 10 [OK]

Hint: Global variables are accessible inside functions [OK]

Common Mistakes:

• Expecting undefined because variable is outside function
• Thinking console.log will cause ReferenceError
• Confusing local and global scope

4. Find the error in this code related to global scope:

function test() {
  var a = 5;
}
console.log(a);

medium

A. No error, prints 5

B. TypeError: a is undefined

C. ReferenceError: a is not defined

D. SyntaxError: var inside function

Solution

1. Step 1: Check variable scope

   Variable a is declared inside function test with var, so it is local to that function.

2. Step 2: Access variable outside function

   Trying to log a outside the function causes a ReferenceError because a is not in global scope.

3. Final Answer:

   ReferenceError: a is not defined -> Option C

4. Quick Check:

   Local variable accessed globally = ReferenceError [OK]

Hint: Variables inside functions are not global [OK]

Common Mistakes:

• Assuming var inside function is global
• Expecting output 5 instead of error
• Confusing ReferenceError with SyntaxError

5. You want to create a global counter variable that increases every time a function runs. Which code correctly uses global scope to do this?

hard

A. let counter = 0;
function count() {
let counter = 0;
counter++;
console.log(counter);
}

B. function count() {
var counter = 0;
counter++;
console.log(counter);
}

C. function count() {
let counter = 0;
counter++;
console.log(counter);
}

D. var counter = 0;
function count() {
counter++;
console.log(counter);
}

Solution

1. Step 1: Identify global variable declaration

   var counter = 0;
   function count() {
     counter++;
     console.log(counter);
   }

   declares counter outside the function, making it global and accessible inside the function.

2. Step 2: Check counter increment behavior

   Inside count, counter++ increases the global variable, so the count persists across calls.

3. Final Answer:

   var counter = 0; function count() { counter++; console.log(counter); } -> Option D

4. Quick Check:

   Global counter increments inside function =

   var counter = 0;
   function count() {
     counter++;
     console.log(counter);
   }

   [OK]

Hint: Declare counter outside function to keep it global [OK]

Common Mistakes:

• Declaring counter inside function resets it each call
• Using let inside function hides global variable
• Expecting local counter to remember previous value