Question

JAVA PROGRAMMING

A complex number is a number in the form a + bi, where a and b are real numbers and i is V-1. The numbers a and b are known as the real part and imaginary part of the complex number, respectively. You can perform addition, subtraction, multiplication, and division for complex numbers using the following formulas: a + bi + c + di = (a + c) + (b + di a + bi - (c + di) = (a – c) + (b – di (a + bi) * (c + di) = (ac – bd) + (bc + adi (a + bi)/(c + di) = (ac + bd)/(c2 + d) + (bc - ad)/(c2 + d2) You can also obtain the absolute value for a complex number using the following formula: la + bij = Va2 + 62 (A complex number can be interpreted as a point on a plane by identifying the (a,b) values as the coordinates of the point. The absolute value of the complex number corresponds to the distance of the point to the origin, as shown in below figure. V-axis 2 + 3i - X-axis 3-2i

Answer 1

import java.util.*;

class ComplexNumber implements Cloneable
{
private double rPart,iPart;
public ComplexNumber()//default constructor
{
rPart = 0;
iPart = 0;
}
public ComplexNumber(double rPart,double iPart)//argument constructor
{
this.rPart = rPart;
this.iPart = iPart;
}
//arithmetic operations on complex Numbers
public ComplexNumber add (ComplexNumber other)
{
ComplexNumber result = new ComplexNumber();
result.rPart = this.rPart + other.rPart;
result.iPart = this.iPart + other.iPart;
return result;
}
public ComplexNumber subtract (ComplexNumber other)
{
ComplexNumber result = new ComplexNumber();
result.rPart = this.rPart - other.rPart;
result.iPart = this.iPart - other.iPart;
return result;
}
public ComplexNumber multiply (ComplexNumber other)
{
ComplexNumber result = new ComplexNumber();
result.rPart = (this.rPart * other.rPart) - (this.iPart * other.iPart);
result.iPart = (this.rPart * other.iPart) + (this.iPart * other.rPart);
return result;
}
public ComplexNumber divide (ComplexNumber other)
{
ComplexNumber result = new ComplexNumber();
// multiply with complex conjugate
result.rPart = ((this.rPart * other.rPart) -(this.iPart *(-1)* other.iPart))/ ( (other.rPart * other.rPart) +( other.iPart * (-1)*(-other.iPart)));
result.iPart = ((this.rPart * other.iPart)) +(this.iPart*(other.rPart))/ ( (other.rPart * other.rPart) +( other.iPart *(-1)* (-other.iPart))) ;
return result;
}
public double absoluteValue()
{
   return Math.sqrt(rPart*rPart + iPart*iPart);
}
//get methods
public double getRPart()
{
return rPart;
}
public double getIPart()
{
return iPart;
}
public String toString()
{
return rPart + " + "+ iPart+" i";
}
public Object clone() throws CloneNotSupportedException
{
ComplexNumber objClone = new ComplexNumber();
       objClone.setReal(this.rPart);
       objClone.setImag(this.iPart);
       return objClone;
}
  
public void setReal(double rPart)
{
   this.rPart = rPart;
}
public void setImag(double iPart)
{
   this.iPart = iPart;
}
public double compareTo(ComplexNumber other)
{

return this.getRPart() - other.getRPart();
}
}

class ComplexNumberTester
{
public static void main (String[] args)
{
Scanner input = new Scanner(System.in);
System.out.println("Enter the first complex number c1 : ");
double rPart = input.nextDouble();
double iPart = input.nextDouble();
ComplexNumber c1 = new ComplexNumber(rPart,iPart);

System.out.println("Enter the second complex number c2 : ");
rPart = input.nextDouble();
iPart = input.nextDouble();
ComplexNumber c2 = new ComplexNumber(rPart,iPart);

ComplexNumber add = new ComplexNumber();
ComplexNumber sub = new ComplexNumber();
ComplexNumber mult = new ComplexNumber();
ComplexNumber div = new ComplexNumber();
System.out.println("Complex Number c1 :"+c1);
System.out.println("Complex Number c2 :"+c2);
add = c1.add(c2);
System.out.println("\nAddition of c1 and c2 : "+ add);
sub = c1.subtract(c2);
System.out.println("\nSubtraction of c1 and c2 : "+ sub);
mult = c1.multiply(c2);
System.out.println("\nMutiplication of c1 and c2 : "+ mult);
div = c1.divide(c2);
System.out.println("\nDivision of c1 by c2 : "+ div);

System.out.println("Absolute value of c1 : "+c1.absoluteValue());
}
}

Output:

Success #stdin #stdout 0.07s 2184192KB

Enter the first complex number c1 : 3.5 5.5
Enter the second complex number c2 : -3.5 1
Complex Number c1 :3.5 + 5.5 i
Complex Number c2 :-3.5 + 1.0 i

Addition of c1 and c2 : 0.0 + 6.5 i

Subtraction of c1 and c2 : 7.0 + 4.5 i

Mutiplication of c1 and c2 : -17.75 + -15.75 i

Division of c1 by c2 : -0.5094339622641509 + 2.047169811320755 i
Absolute value of c1 : 6.519202405202649

Do ask if any doubt. Please upvote.