I have first listed my class code, then my tester/driver code and have put my questions at the bottom. My code for my class is as follows :
class Complex {
//data values
private double real;
private double imag;
//constructors
public Complex () {
real = 0;
imag = 0;
}
public Complex (double realInput) {
real = realInput;
imag = 0;
}
public Complex (double realInput, double imagInput) {
real = realInput;
imag = imagInput;
}
//accessors
public double getReal () {
return real;
}
public double getImag () {
return imag;
}
//modifiers
public void setReal (double inputReal) {
real = inputReal;
}
public void setImag (double inputImag) {
imag = inputImag;
}
//toString method
public String toString() {
return real + " + " + imag + "i";
}
//instance methods
//addition methods
public Complex add (double realInput) {
real = real + realInput;
Complex newComplex = new Complex(real, imag);
return newComplex;
}
public Complex add (Complex complex) {
double firstReal = complex.getReal();
double firstImag = complex.getImag();
double secondReal = this.getReal();
double secondImag = this.getImag();
real = firstReal + secondReal;
imag = firstImag + secondImag;
Complex newComplex = new Complex(real, imag);
return newComplex;
}
//subtraction methods
public Complex subtract (double realInput) {
real = real - realInput;
Complex newComplex = new Complex(real, imag);
return newComplex;
}
public Complex subtract (Complex complex) {
double newReal = complex.getReal();
double newImag = complex.getImag();
real = this.getReal() - newReal;
imag = this.getImag() - newImag;
Complex newComplex = new Complex(real, imag);
return newComplex;
}
//multiplication methods
public Complex multiply (double realInput) {
real = real * realInput;
imag = imag * realInput;
Complex newComplex = new Complex(real, imag);
return newComplex;
}
//****problem code****
public Complex multiply (Complex complex) {
double newReal = complex.getReal();
double newImag = complex.getImag();
real = ((real * newReal) - (imag * newImag));
imag = ((real * newImag) + (imag * newReal));
Complex newComplex = new Complex(real, imag);
return newComplex;
}
//division methods
public Complex divide (double realInput) {
real = real / realInput;
imag = imag / realInput;
Complex newComplex = new Complex(real, imag);
return newComplex;
}
//****problem code****
public Complex divide (Complex complex) {
double newReal = complex.getReal();
double newImag = complex.getImag();
real = this.getReal();
imag = this.getImag();
double newRealNumerator = (real * newReal) + (imag * newImag);
double newRealDenominator = (Math.pow(newReal, 2) + Math.pow(newImag, 2));
real = newRealNumerator / newRealDenominator;
double newImagNumerator = (imag * newReal) - (real * newImag);
double newImagDenominator = newRealDenominator;
imag = newImagNumerator / newImagDenominator;
Complex newComplex = new Complex(real, imag);
return newComplex;
}
//equals method
public boolean equals (Complex complex) {
double firstReal = complex.getReal();
double firstImag = complex.getImag();
double secondReal = this.getReal();
double secondImag = this.getImag();
boolean testEquals = false;
if (firstReal == secondReal && firstImag == secondImag) {
testEquals = true;
}
return testEquals;
}
}//end class
My code for my tester/driver is as follows:
class ComplexTester {
public static void main(String[] args ) {
//declaring Complex objects
Complex one = new Complex ();
Complex two = new Complex (3);
Complex three = new Complex (1, 4);
Complex four = new Complex (2, 3);
//testing addition methods
System.out.println("Testing addition methods...");
System.out.println("(" + three.toString() + ") + (" + 3.0 + ") = " + three.add(3.0));
three.setReal(1);
three.setImag(4);
System.out.println("(" + three.toString() + ") + (" + four.toString() + ") = " + three.add(four));
three.setReal(1);
three.setImag(4);
//testing subtraction methods
System.out.println();
System.out.println("Testing subtraction methods...");
System.out.println("(" + three.toString() + ") - (" + 3.0 + ") = " + three.subtract(3.0));
three.setReal(1);
three.setImag(4);
System.out.println("(" + three.toString() + ") - (" + four.toString() + ") = " + three.subtract(four));
three.setReal(1);
three.setImag(4);
//testing multiplication methods
System.out.println();
System.out.println("Testing multiplication methods...");
System.out.println("(" + three.toString() + ") * (" + 3.0 + ") = " + three.multiply(3.0));
three.setReal(1);
three.setImag(4);
System.out.println("(" + three.toString() + ") * (" + four.toString() + ") = " + three.multiply(four));
three.setReal(6);
three.setImag(3);
//testing division method
System.out.println();
System.out.println("Testing division methods...");
System.out.println("(" + three.toString() + ") / (" + 3.0 + ") = " + three.divide(3.0));
three.setReal(4);
three.setImag(2);
Complex testDiv = new Complex(3, -1);
System.out.println("(" + three.toString() + ") / (" + testDiv.toString() + ") = " + three.divide(testDiv));
three.setReal(1);
three.setImag(4);
//testing equals method
System.out.println();
System.out.println("Testing equals method...");
if (three.equals(four) == true) {
System.out.println(three.toString() + " is equal to " + four.toString());
}
else {
System.out.println(three.toString() + " is not equal to " + four.toString());
}
Complex testEquals = new Complex(2, 3);
if (four.equals(testEquals) == true) {
System.out.println(four.toString() + " is equal to " + testEquals.toString());
}
else {
System.out.println(four.toString() + " is not equal to " + testEquals.toString());
}
}// end main method
}// end class
My first problem is that if I would call my add method on the three object [such as three.add(four) ] it completely changes the three object to the answer of three.add(four). What I did to get around that (and I'm assuming it's bad programming) is call the set methods to assign the three object back to what I needed.
My second problem is that the multiply and divide methods (that I have commented above with "****problem code****") are not reporting the correct complex number. The multiply problem code should show (-10.0 + 11.0i) in the tester but instead it shows (-10.0 + -22.0i) upon running. The divide problem code should show (1.0 + 1.0i) but instead it shows (1.0 + 0.7i) upon running.
To multiply a complex number by another complex number the formula is: (A + Bi) times (C + Di) = (AC - BD) + (AD + BC)i
To divide a complex number by another complex number the formula is: (A + Bi) divided by (C + Di) = (AC+BD)/(C2 + D2) + (BC-AD)/(C2 + D2)i
My key to convert from the letters of the formulas listed (A, B, C, D) and my own self-named variables is: A = real, B = imag, C = newReal, and D = newImag