Answer to Question #272145 in C++ for Pica

Question

Create a class named Complex which contains:

• data field named real of type double
• data field named imag of type double
• no-arg constructor that initializes real & imag to 0
• parametrized constructor with specified values for real & imag
• overloaded stream extraction operator << that will display a complex number in the form a + bi
• overloaded stream insertion operator >> that will ask the user for real and imag part of the complex number
• overloaded binary + operator and a binary – operator
• overloaded binary * operator and / operator
• function mag() that will return the magnitude of the complex number.
• function conjuage() that returns the conjugate of a complex number

Sample:

Enter the first complex number

Enter real part:  3

Enter imag part: 4

Enter the second complex number

Enter real part:  4

Enter imag part: -6

You entered the numbers

C1 = 3 + 4i

C2 = 4 – 6i

1: Addition

2: Subtraction

3: Multiplication

4: Division

5: Magnitude

6: conjugate

9: Quit

Enter your selection: 1

C1 + C2  = 7 - 2i

Answer 1

#include <iostream>
using namespace std;

//**********COMPLEX CLASS************************
class Complex{

private:
 double real,imag;

public:
 Complex(){
  real=imag=0;
 }
 ///////////////////////////////////////////////////
 Complex(double r){
  real=r;
  imag=0;
 }
    ///////////////////////////////////////////////////
 Complex(double r, double i){
  real=r;
  imag=i;
 }
    ///////////////////////////////////////////////////
 Complex(Complex &obj){
  real=obj.real;
  imag=obj.imag;
 }
    ///////////////////////////////////////////////////
 Complex add(Complex c){
        Complex Add;
  Add.real = real + c.real;
  Add.imag = imag + c.imag;
        return Add;
 }
    ///////////////////////////////////////////////////
 Complex sub(Complex c){
  Complex Sub;
  Sub.real = real - c.real;
  Sub.imag = imag - c.imag;
  return Sub;
 }
    ///////////////////////////////////////////////////
 Complex mult(Complex c){
        Complex Mult;
  Mult.real = real*c.real - imag*c.imag;
  Mult.imag = real*c.imag - c.real*imag;
  return Mult;
 }
    ///////////////////////////////////////////////////
 Complex div(Complex c){
  Complex Div;
  Div.real = (real*c.real + imag*c.imag)/(c.real*c.real + c.imag*c.imag);
  Div.imag = (imag*c.real + real*c.imag)/(c.real*c.real + c.imag*c.imag);
  return Div;
 }
    ///////////////////////////////////////////////////
 void print(){
        cout<<real<<"+"<<imag<<"i"<<endl<<endl;
 }
    ///////////////////////////////////////////////////
 double getReal() const{
  return real;
 }
    ///////////////////////////////////////////////////
 double getImag() const{
  return imag;
 }
    ///////////////////////////////////////////////////
 void setReal(double re){
  real = re;

 }
    ///////////////////////////////////////////////////
 void setImag(double im){
        imag = im;
 }
 ///////////////////////////////////////////////////

};

//***************MAIN***************************
int main()
{
 double real1,imag1,real2,imag2;

 cout<<"Enter the Real  part of First Number: ";
    cin>>real1;
 cout<<"Enter the imaginary  part of First Number: ";
 cin>>imag1;
    Complex obj1(real1,imag1);
 obj1.print();

 cout<<"Enter the Real part of Second Number: ";
 cin>>real2;
 cout<<"Enter the Imaginary part of second number: ";
    cin>>imag2;
    Complex obj2(real2,imag2);
 obj2.print();

 Complex c;
 c = obj1.add(obj2);
 cout<<"Addition is : ("<<c.getReal()<<")+("<<c.getImag()<<")i"<<endl;
 c= obj1.sub(obj2);
 cout<<endl<<"Subtraction is : ("<<c.getReal()<<")+("<<c.getImag()<<")i"<<endl;

 c= obj1.mult(obj2);
 cout<<endl<<"Multiplication is : ("<<c.getReal()<<")+("<<c.getImag()<<")i"<<endl;

 c= obj1.div(obj2);
 cout<<endl<<"Division result  is : ("<<c.getReal()<<")+("<<c.getImag()<<")i"<<endl;
 return 0;
}