Need help changing this code'

Assignment 10:

import java.util.Scanner;

import java.math.BigDecimal;

import java.math.RoundingMode;

public class Complex {

// double real;

// double imaginary;

BigDecimal real, imaginary;

public Complex(BigDecimal real, BigDecimal imaginary) {

this.real = real;

this.imaginary = imaginary;

}

public String toString(){

if(this.real.equals(BigDecimal.ZERO)){

return this.imaginary + "i";

} else if (this.imaginary.equals(BigDecimal.ZERO)){

return this.real + "" ;

} else if(this.imaginary.compareTo(BigDecimal.ZERO) < 0){

return "(" + this.real + " - " + imaginary.abs() + "i" + ")";

}

return "(" + this.real + " + " + imaginary.abs() + "i" + ")";

}

public static Complex add(Complex num1 , Complex num2){

return new Complex(num1.real.add(num2.real), num1.imaginary.add(num2.imaginary));

}

public static Complex subtract(Complex num1, Complex num2){

return new Complex(num1.real.subtract(num2.real), num1.imaginary.subtract(num2.imaginary));

}

public static Complex multiply(Complex num1, Complex num2){

Complex temp = new Complex(BigDecimal.ZERO, BigDecimal.ZERO);

//(a + bi) * ( c + di) = ( ac - bd ) + (ad + bc )i

temp.real = (num1.real.multiply(num2.real) ).subtract((num1.imaginary.multiply(num2.imaginary)) );

temp.imaginary = (num1.real.multiply(num2.imaginary)).add((num2.real.multiply(num1.imaginary)) );

return temp;

}

public static Complex divide(Complex num1, Complex num2){

BigDecimal temp = (num2.real.multiply( num2.real)).add((num2.imaginary.multiply(num2.imaginary)));

if (temp.equals(BigDecimal.ZERO))

return new Complex(null, null);

// return new Complex(((num1.real * num2.real) + (num1.imaginary * num2.imaginary)) / temp,

// ((num1.imaginary * num2.real) - (num1.real * num2.imaginary)) / temp);

return new Complex(((num1.real.multiply(num2.real)).add((num1.imaginary.multiply(num2.imaginary)))).divide(temp,2, RoundingMode.HALF_UP),

((num1.imaginary.multiply(num2.real)).subtract(num1.real.multiply(num2.imaginary))).divide(temp,2, RoundingMode.HALF_UP));

// return new Complex(BigDecimal.ZERO, BigDecimal.ZERO);

}

public static boolean testForEquality(Complex num1, Complex num2){

if(num1.real.equals(num2.real) && num1.imaginary.equals(num2.imaginary)){

return true;

}

return false;

}

public static void main(String[] args) {

Scanner reader = new Scanner(System.in);

// double real;

// double imaginary;

BigDecimal real, imaginary;

System.out.print("Enter first real part: ");

// real = Double.parseDouble(reader.nextLine());

real = reader.nextBigDecimal() ;

System.out.print("Enter first imaginary part: ");

// imaginary = Double.parseDouble(reader.nextLine());

imaginary = reader.nextBigDecimal() ;

Complex num1 = new Complex(real,imaginary);

System.out.println("1st Number Is :\t"+num1);

System.out.print("Enter second real part: ");

// real = Double.parseDouble(reader.nextLine());

real = reader.nextBigDecimal() ;

System.out.print("Enter second imaginary part: ");

// imaginary = Double.parseDouble(reader.nextLine());

imaginary = reader.nextBigDecimal() ;

// Complex num2 = new Complex(real,imaginary);

Complex num2 = new Complex(real,imaginary);

System.out.println("2nd Number Is :\t"+num2);

System.out.println(" Performing arithmetic operations .... ");

System.out.println(num1 + " + " + num2 + " = " + add(num1,num2));

System.out.println(num1 + " - " + num2 + " = " + subtract(num1,num2));

System.out.println(num1 + " * " + num2 + " = " + multiply(num1,num2));

System.out.println(num1 + " / " + num2 + " = " + divide(num1,num2));

if(testForEquality(num1,num2)){

System.out.println(num1 + " = " + num2);

} else {

System.out.println(num1 + " != " + num2);

}

}

}

// Assume a and b are BigDecimal then -->>

// a+b --> a.add(b);

// a-b --> a.subtract(b);

// a*b --> a.multiply(b);

// a/b --> a.divide(b,k,RoundingMode.HALF_UP); where k is precision and RoundingMode.HALF_UP is rounding mode

// abs(a) --> a.abs();

Assigment 11:

Reconfigure the class from assignment 10 to use Fractions as the values for the real and imaginary parts of the complex numbers. the given code above is the code you need to reconfigure.^

Sample Session( output for assigment 11):

Please enter the first complex number, real numerator>-1

Please enter the first complex number, real denominator>2

Please enter the first complex number, imaginary numerator> 1

Please enter the first complex number, imaginary denominator> -3 (-1/2 - 1/3i)

Please enter the second complex number, real numerator> 2

Please enter the second complex number, real denominator > 2

Please enter the second complex number, imaginary numerator> 5

Please enter the second complex number, imaginary denominator > -2 (1- 2 1/2i)

(-1/2 - 1/3i) + (1 - 2 1/2i) = (1/2 - 2 5/6i)

(-1/2 - 1/3i) - (1 - 2 1/2i) = (-1 1/2 + 2 1/6i)

(-1/2 - 1/3i) * (1 - 2 1/2i) = (-1 1/3 + 11/12i)

(-1/2 - 1/3i) / (1 - 2 1/2i) = (4/87 - 19/87i)

Please enter the first complex number, real numerator> 1

Please enter the first complex number, real denominator> 1

Please enter the first complex number, imaginary numerator > 5

Please enter the first complex number, imaginary denominator > 2 (1+2 1/2i)

Please enter the second complex number, real numerator > 0

Please enter the second complex number, real denominator > 1

Please enter the second complex number, imaginary numerator> 0

Please enter the second complex number, imaginary denominator > 1 0

(1 +2 1/2i) + 0= (1 + 2 1/2i)

(1 + 2 1/2i) - 0 = (1 + 2 1/2i)

(1 + 2 1/2i) * 0= 0

(1 + 2 1/2i) / 0 = ERROR

(1 + 2 1/2i) !=0