Open In App

Java Program to Add two Complex Numbers

Last Updated : 13 Jul, 2022
Suggest changes
Share
Like Article
Like
Report

Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra. The standard format for complex numbers is a + bi, with the real number first and the imaginary number last.

General form for any complex number is:

a+ib Where "a" is real number and "b" is Imaginary number.

Construction of Complex number

For creating a complex numbers, we will pass imaginary numbers and real numbers as parameters for constructors.

Java
// Java program to construct the complex number class ComplexNumber {  // variables to hold real and imaginary part of complex  // number  int real, image;  // Constructor which will be used while creating complex  // number  public ComplexNumber(int r, int i)  {  this.real = r;  this.image = i;  }  // function to print real number  public void showC()  {  System.out.println(this.real + " +i " + this.image);  }  // we will implement this function for addition  public complex add(ComplexNumber, ComplexNumber); } 

Time Complexity: O(1)

Auxiliary Space: O(1)

 
Add function

  • Basically, addition of two complex numbers is done by adding real part of the first complex number with real part of the second complex number.
  • And adding imaginary part of the first complex number with the second which results into the third complex number.
  • So that means our add() will return another complex number.


 

Ex. addition of two complex numbers

(a1) + (b1)i -----(1)

(a2)+ (b2)i -----(2)

adding (1) and (2) will look like

(a1+a2) + (b1+b2)i

Function Definition: 

ComplexNumber add(ComplexNumber n1, ComplexNumber n2){ ComplexNumber res = new ComplexNumber(0,0); //creating blank complex number // adding real parts of both complex numbers res.real = n1.real + n2.real; // adding imaginary parts res.image = n1.image + n2.image; // returning result return res; }

 
 Code: 

Java
// Java program to add two complex numbers class ComplexNumber {  // variables to hold real and imaginary part of complex  // number  int real, image;  // Constructor which will be used while creating complex  // number  public ComplexNumber(int r, int i)  {  this.real = r;  this.image = i;  }  // function to print real number  public void showC()  {  System.out.print(this.real + " +i" + this.image);  }  // function for addition  public static ComplexNumber add(ComplexNumber n1,  ComplexNumber n2)  {  // creating blank complex number  // to store result  ComplexNumber res = new ComplexNumber(0, 0);  // adding real parts of both complex numbers  res.real = n1.real + n2.real;  // adding imaginary parts  res.image = n1.image + n2.image;  // returning result  return res;  }  public static void main(String arg[])  {  // creating two complex numbers  ComplexNumber c1 = new ComplexNumber(4, 5);  ComplexNumber c2 = new ComplexNumber(10, 5);  // printing complex numbers  System.out.print("first Complex number: ");  c1.showC();    System.out.print("\nSecond Complex number: ");  c2.showC();  // calling add() to perform addition  ComplexNumber res = add(c1, c2);  // displaying addition  System.out.println("\nAddition is :");  res.showC();  } } 

Output
first Complex number: 4 +i5 Second Complex number: 10 +i5 Addition is : 14 +i10

Time Complexity: O(1)

Auxiliary Space: O(1)


 


Next Article

Similar Reads