JavaScript: Add two complex numbers

JavaScript Math: Exercise-50 with Solution

Write a JavaScript program to add two complex numbers.
A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, that satisfies the equation i2 = −1. In this expression, a is the real part and b is the imaginary part of the complex number.

Sample Solution:-

HTML Code:

<!DOCTYPE html>
  <meta charset="utf-8">
  <title>JavaScript function to add two complex numbers</title>


JavaScript Code:

function Complex(real, imaginary) {
  this.real = 0;
  this.imaginary = 0;
  this.real = (typeof real === 'undefined') ? this.real : parseFloat(real);
  this.imaginary = (typeof imaginary === 'undefined') ? this.imaginary : parseFloat(imaginary);
Complex.transform = function(num) {
  var complex;
  complex = (num instanceof Complex) ? num : complex;
  complex = (typeof num === 'number') ? new Complex(num, 0) : num;
  return complex;
function display_complex(re, im) {
  if(im === '0') return '' + re;
  if(re === 0) return '' + im + 'i';
  if(im < 0) return '' + re + im + 'i';
  return '' + re + '+' + im + 'i';
function complex_num_add(first, second) {
  var num1, num2;
  num1 = Complex.transform(first);
  num2 = Complex.transform(second);
  var real = num1.real + num2.real;
  var imaginary = num1.imaginary + num2.imaginary;
  return display_complex(real, imaginary);
 var a = new Complex(2, -7);
 var b = new Complex(4,  3);

Sample Output:



JavaScript Math flowchart Pictorial-50-1

Live Demo:

See the Pen javascript-math-exercise-50 by w3resource (@w3resource) on CodePen.

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