Implement a class Complex which represents the Complex Number data type. Implement the following operations: 1. Constructor (including a default constructor which creates the complex number 0+0i). 2. Overloaded operator+ to add two complex numbers. 3. Overloaded operator* to multiply two complex numbers. 4. Overloaded << and >> to print and read Complex Numbers.

/*Implement a class Complex which represents the Complex Number data type.
Implement the following operations:
1. Constructor (including a default constructor which creates the complex number 0+0i).
2. Overloaded operator+ to add two complex numbers.
3. Overloaded operator* to multiply two complex numbers.
4. Overloaded << and >> to print and read Complex Numbers. */

#include<iostream>
using namespace std;
class complex
{
public:
        float real,img;
    complex()   // default constructor
    {
    real=0;
    img=0;
    }
    complex operator +(complex); // declaration for addition
    complex operator *(complex); // declaration for multiplication
    friend ostream &operator<<(ostream&,complex&);  // output function//<< operator return obj of ostream class//given ostream class as a return type
    friend istream &operator>>(istream&,complex&);  // input function
};
                              // operator overloading syntax
complex complex::operator +(complex obj)   /* This is automatically called when '+' is used with between two Complex objects */
{
    complex temp;
    temp.real=real+obj.real;
    temp.img=img+obj.img;
    return (temp);
}

complex complex::operator *(complex obj)
{
    complex temp;
    temp.real=(real*obj.real)-(img*obj.img);
    temp.img=(real*obj.img)+(img+obj.img);
    return (temp);
}

istream &operator>>(istream& is,complex& obj)  //defining (extraction)>> operator
{
    is>>obj.real;  //accepting real part with object of istream class
    is>>obj.img;   //accepting imaginary part with object of istream class
    return is;

}

ostream &operator<<(ostream& os,complex& obj) //defining <<(insertion) operator
{
    os<<obj.real;   //displaying real part with object of ostream class
    os<<"+"<<obj.img<<"i"; //displaying imaginary part with object of ostream class
    return os;
}

int main()
{
    complex a,b,c,d;
    //Enter first complex number";
    cout<<"\n Enter real and imaginary part of first complex number:";
    cin>>a;

    // Enter second complex number";
    cout<<"\n Enter real and imaginary part of second complex number:";
    cin>>b;

    cout<<"\nArithmetic operations are :";
    c=a+b;
    cout<<"\n Addition is:"<<c;
   
    d=a*b;
    cout<<"\n Multiplication is:"<<d<<"\n";
    return 0;
}

/*output-
Enter real and imaginary part of first complex number:
5 6

Enter real and imaginary part of second complex number:
2 3


Arithmetic operations are :
Addition is:7+9i
Multiplication is:-8+24i
*/