Declaring global variables in Typescript - Time & Space Complexity

Time Complexity: Declaring global variables

O(n)

Understanding Time Complexity

When we declare global variables, we want to know how it affects the program's speed as it runs.

We ask: Does adding global variables make the program slower as it grows?

Scenario Under Consideration

Analyze the time complexity of the following code snippet.

let count = 0;

function increment() {
  count += 1;
}

increment();
increment();

This code declares a global variable count and a function that increases it.

Identify Repeating Operations

Identify the loops, recursion, array traversals that repeat.

• Primary operation: Simple variable assignment and addition.
• How many times: Each call to increment() runs once, no loops or recursion.

How Execution Grows With Input

Execution time stays about the same no matter how many global variables are declared.

Input Size (number of global variables)	Approx. Operations
10	10 simple assignments
100	100 simple assignments
1000	1000 simple assignments

Pattern observation: Adding more global variables increases operations linearly, but each operation is very simple and does not repeat inside loops.

Final Time Complexity

Time Complexity: O(n)

This means declaring or using global variables takes time proportional to the number of variables accessed or modified.

Common Mistake

[X] Wrong: "Declaring many global variables makes the program slower because it has to manage all of them every time."

[OK] Correct: Each global variable is stored once and accessed directly; no repeated work happens just because they exist.

Interview Connect

Understanding that global variables themselves do not add time cost helps you focus on what really affects performance, like loops or heavy calculations.

Self-Check

"What if we added a loop that updates a global variable many times? How would the time complexity change?"

Practice

1. What is a global variable in TypeScript?

easy

A. A variable accessible anywhere in the program

B. A variable only accessible inside a function

C. A variable that cannot be changed

D. A variable declared inside a class only

Solution

1. Step 1: Understand variable scope

   Global variables are those that can be accessed from any part of the program, not limited to a function or block.

2. Step 2: Compare options

   A variable accessible anywhere in the program correctly describes a global variable. Options B, C, and D describe other types or restrictions that do not match global variables.

3. Final Answer:

   A variable accessible anywhere in the program -> Option A

4. Quick Check:

   Global variable = accessible everywhere [OK]

Hint: Globals are variables you can use anywhere in your code [OK]

Common Mistakes:

• Confusing global with local variables
• Thinking globals are immutable
• Assuming globals are only inside classes

2. Which of the following is the correct way to declare a global variable in TypeScript outside any function?

easy

A. let globalVar = 10;

B. var globalVar = 10;

C. const globalVar: number;

D. function globalVar() {}

Solution

1. Step 1: Identify global declaration syntax

   Using var outside any function declares a global variable in TypeScript.

2. Step 2: Analyze options

   var globalVar = 10; uses var correctly. let globalVar = 10; uses let which is block-scoped, not global. const globalVar: number; declares a constant without initialization, causing error. function globalVar() {} declares a function, not a variable.

3. Final Answer:

   var globalVar = 10; -> Option B

4. Quick Check:

   Use var outside functions for globals [OK]

Hint: Use var outside functions to create globals [OK]

Common Mistakes:

• Using let or const for globals outside modules
• Declaring variables without initialization
• Confusing functions with variables

3. What will be the output of this TypeScript code?

var count = 5;
function increment() {
  count++;
}
increment();
console.log(count);

medium

A. undefined

B. 5

C. 6

D. Error

Solution

1. Step 1: Understand variable scope and mutation

   The variable count is declared globally with value 5. The function increment increases it by 1.

2. Step 2: Trace code execution

   Calling increment() changes count from 5 to 6. Then console.log(count) prints 6.

3. Final Answer:

   6 -> Option C

4. Quick Check:

   Global var incremented once = 6 [OK]

Hint: Global var changes inside functions affect output [OK]

Common Mistakes:

• Assuming count stays 5 after increment
• Thinking count is local inside function
• Expecting undefined due to scope confusion

4. Identify the error in this TypeScript code that tries to declare a global variable inside a module:

export {};
declare global {
  var message: string;
}
message = "Hello";
console.log(message);

medium

A. Missing initialization of message inside declare global

B. declare global block must be inside a module file

C. message must be declared with let or const

D. Cannot assign to message outside declare global block

Solution

1. Step 1: Understand declare global usage

   The declare global block is used to add types to global variables but does not create or assign them.

2. Step 2: Identify assignment error

   Assigning message = "Hello"; outside the block causes error because message is only declared, not defined. You must define it separately.

3. Final Answer:

   Cannot assign to message outside declare global block -> Option D

4. Quick Check:

   declare global declares types, assignment needs separate definition [OK]

Hint: declare global only declares, assign globals separately [OK]

Common Mistakes:

• Trying to assign inside declare global block
• Confusing declaration with definition
• Using let or const inside declare global

5. You want to add a global variable appName of type string in a TypeScript module and assign it the value "MyApp" so it can be used anywhere. Which is the correct way?

hard

A. declare global { var appName: string; }
globalThis.appName = "MyApp";

B. declare global { var appName: string; }
appName = "MyApp";

C. export var appName = "MyApp";

D. let appName: string = "MyApp";

Solution

1. Step 1: Declare global variable type inside module

   Use declare global block to declare the variable type for global scope.

2. Step 2: Assign value to global variable correctly

   Assign the value to globalThis.appName to define the global variable at runtime.

3. Step 3: Analyze options

   declare global { var appName: string; } globalThis.appName = "MyApp"; correctly declares and assigns the global variable. declare global { var appName: string; } appName = "MyApp"; misses assigning to globalThis. export var appName = "MyApp"; exports a module variable, not global. let appName: string = "MyApp"; declares a local variable.

4. Final Answer:

   declare global { var appName: string; } globalThis.appName = "MyApp"; -> Option A

5. Quick Check:

   declare global + globalThis assignment = global var [OK]

Hint: Use declare global plus globalThis to define globals in modules [OK]

Common Mistakes:

• Assigning globals without globalThis
• Using export instead of global declaration
• Declaring local variables instead of globals