/*
Please improve the class complex of the PPT by 
adding new operators like -, -=, *=,/=, and ++. 
Then test those overloaded functions in the main function.
The operator overloaded functions should be defined as
 member functions or as friend functions.
*/

#include <iostream.h>
class complex
{
public:
    complex(double r=0,double i=0);
    complex operator -();
    complex operator +(const complex& c);
    complex operator -(const complex& c); 
    complex operator *(const complex& c);
    complex operator /(const complex& c);
    complex operator ++();//prefix
    complex operator ++(int);//postfix
    void print() const;// const member function
private:
    double real,imag;
};
 complex::complex(double r,double i)
 :real(r),imag(i){}
 complex complex::operator -()
{
    return complex(-real,-imag);
}
complex complex::operator +(const complex& c)
{
    double r=real+c.real;
    double i=imag+c.imag;
    return complex(r,i);
}
complex complex::operator -(const complex& c)
{
    double r=real-c.real;
    double i=imag-c.imag;
    return complex(r,i);
}
complex complex::operator *(const complex& c)
{
    double r=real*c.real-imag*c.imag;
    double i=imag*c.real+real*c.imag;
    return complex(r,i);
}
complex complex::operator /(const complex& c)
{
    double r=(real*c.real+imag*c.imag)/(c.real*c.real+c.imag*c.imag);
    double i=(imag*c.real-real*c.imag)/(c.real*c.real+c.imag*c.imag);
    return complex(r,i);
}
complex complex::operator ++()//prefix
{
	real++;
	imag++;
	return complex(real,imag);
}
complex complex::operator ++(int)//postfix
{
	real--;
	imag--;
	return complex(real,imag);
}
void complex::print() const
{
    cout<<"("<<real<<","<<imag<<")"<<endl;
}
void main()
{
    complex c1(2.5,3.7),c2(4.2,6.5);
    complex c;
    cout<<"c1為:\n";
    c1.print();
    cout<<"c2為:\n";
    c2.print();
    c=-c1;
    cout<<"c1的相反數為:\n";
    c.print();
    c=-c2;
    cout<<"c2的相反數為:\n";
    c.print();
    cout<<"c1-c2為:\n";
    c=c1-c2;
    c.print();
    c=c1+c2;
    cout<<"c1+c2為:\n";
    c.print();
    c=c1*c2;
    cout<<"c1*c2為:\n";
    c.print();
    c=c1/c2;
    cout<<"c1/c2為:\n";
    c.print();
    c=c2++;
    cout<<"c2++為:\n";
    c.print();
    c=++c2;
    cout<<"++c2為:\n";
    c.print();
}