Q1(Practical).java

1) Design a class Complex having a real part (x) and an imaginary part (y). Provide methods
   to perform the following on complex numbers:
a) Add two complex numbers.
b) Multiply two complex numbers.
c) toString() method to display complex numbers in the form: x + i y



public class Complex {
private int x;
private int y;
/**
* Parameterized Constructor of Complex class
*
* @param real Real Part
* @param imaginary Imaginary Part
*/
public Complex(int real, int imaginary) {
this.x = real;
this.y = imaginary;
}
/**
* Add two Complex Objects
*
* @param o Complex Object
* @return Complex Object
*/
public Complex add(Complex o) {
return new Complex(
this.x + o.x,
this.y + o.y
);
}
/**
* Multiply two Complex Objects
*
* @param o Complex Object
* @return Complex Object
*/
public Complex multiply(Complex o) {
return new Complex(
this.x * o.x - this.y * o.y,
this.x * o.y + o.x * this.y
);
}
/**
* Type Conversion to String
*
* @return String Representation
*/
@Override
public String toString() {
return x + " + i " + y;
}
}
/**** Main.java ****/
public class Main {
public static void main(String[] args) {
Complex c1 = new Complex(1, 2);
Complex c2 = new Complex(3, 4);
System.out.println("Complex 1: " + c1);
System.out.println("Complex 2: " + c2);
System.out.println("Sum: " + c1.add(c2));
System.out.println("Product: " + c1.multiply(c2));
}
}

Output

Complex 1: 1 + i 2
Complex 2: 3 + i 4
Sum: 4 + i 6
Product: -5 + i 10