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Java Program to Add two Complex Numbers
  • Last Updated : 15 Dec, 2020

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);
}

 
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

 

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