Question

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Create a simple class that emulates some mathematical functions in relation to complex numbers. A complex number is a number of the form a + bi, where a is a real number and bi is an imaginary number. Create a class Complex having two private data members real and imag of type double. The class has two constructors, one default (no parameters) and one whose parameters initialize the instance variables. It also need the following member functions, all of which are public:

• getReal – returns the real number component
• getImag – returns the imaginary number component
• setReal – sets the value of the real number component
• setImag – sets the value of the imaginary component
• addComplex – has one parameter, another Complex object to add to this one. This method does not return a value (it updates the calling object’s variables).
• subtractComplex - has one parameter, another Complex object to subtract to this one. This method does not return a value (it updates the calling object’s variables).
• multiplyComplex - has one parameter, another Complex object to multiply to this one. This method does not return a value (it updates the calling object’s variables).
• print – prints the data in the form a + bi

**** ALSO Write a driver program to test all of the above functions***

Hints: For complex numbers:

Addition: add the real and imaginary components separately:

(7 + 4i) + (23 – 12i) = 30 – 8i

Subtraction: subtract the real and imaginary components separately:

(7 + 4i) - (23 – 12i) = -16 + 16i

Multiplication: More complicated

Answer 1

Code

Complex.java

public class Complex
{
private double real,imag;

public Complex()
{
this.real=0;
this.imag=0;
}

public Complex(double real, double imag) {
this.real = real;
this.imag = imag;
}

public double getReal() {
return real;
}

public void setReal(double real) {
this.real = real;
}

public double getImag() {
return imag;
}

public void setImag(double imag) {
this.imag = imag;
}
public void addComplex(Complex z)
{
real=real+z.real;
imag=imag+z.imag;
}
public void subtractComplex (Complex z)
{
real=real-z.real;
imag=imag-z.imag;
}
public void multiplyComplex (Complex z)
{
real=(real*z.real)-(imag*z.imag);
imag=(real*z.imag)+(z.real*imag);
}
  
public void print ()
{
if (imag==0) {
System.out.print("( "+imag);
}
else if (imag>0)
{
System.out.print("("+real+"+"+imag+"i)");
}
else
System.out.print("("+real+" - "+(-imag)+"i)");
}
  
}

Driver file

TestComple.java

public class TestComolex
{
public static void main(String[] args)
{
Complex c1=new Complex(7,4);
Complex c2=new Complex(23,-12);
c1.print();
System.out.print(" + ");
c2.print();
c1.addComplex(c2);
System.out.print(" = ");
c1.print();
System.out.println("");
  
}
}

outputs

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