//Solution to homework 7
//CSCE 2050, Fall 2011
//Sebastian Spaink
//Dr.Xiaohui Yuan

#include <iostream>
#include <iomanip>
using namespace std;

class complex
{
	friend ostream & operator<<( ostream &, const complex &);
	friend istream & operator>>( istream & , complex &);
	friend bool operator==(const complex &, const complex &);
	friend bool operator!=(const complex &, const complex &);

	public:
		complex( double = 0.0, double = 0.0 );
		complex operator+( const complex & ) const;
		complex operator-( const complex & ) const;
		complex operator*( const complex & ) const;
	private:
		double real;
		double imaginary;
};

complex::complex( double realPart, double imaginaryPart ) : real( realPart ), imaginary( imaginaryPart )
{

}

complex complex::operator+( const complex &operand2 ) const
{
	return complex( real + operand2.real, imaginary + operand2.imaginary );
}

complex complex::operator-( const complex &operand2 ) const
{
	return complex( real - operand2.real, imaginary - operand2.imaginary );
}

complex complex::operator*( const complex &operand2 ) const
{
	double temp;
	temp = operand2.real * imaginary + real * operand2.imaginary + imaginary * operand2.imaginary;

	return complex( real * operand2.real, temp );
}

ostream & operator<<( ostream & output, const complex &operand2 )
{

	output << "Real: " << operand2.real << " Imaginary: " << operand2.imaginary << endl;

	return output;
}

istream & operator>>( istream & input, complex &operand2 )
{
	input >> operand2.real;
	input.ignore(1);
	input >> operand2.imaginary;

	return input;
}

bool operator==( const complex &operand1, const complex &operand2 )
{
	if( operand1.real == operand2.real && operand1.imaginary == operand2.imaginary )
		return true;
	else
		return false;
}

bool operator!=( const complex &operand1, const complex &operand2 )
{
	if( !(operand1 == operand2) )
		return true;
	else
		return false;
}

int main()
{
	complex x;
	complex y;
	complex temp;

	cout << "Enter a real part and imaginary part for complex number X: ";
	cout << endl<< "(seperated by a space)" << endl;
	cin >> x;

	cout << "Enter a real part and imaginary part for complex number Y: ";
	cout << endl << "(seperated by a space)" << endl;
	cin >> y;

	cout << x;
	cout << y;

	temp = x * y;

	cout << "Multiplying complex X and complex Y together you get: "<< endl;
	cout << temp;

	if( x == y )
		cout << "X and Y are equal" << endl;
	else
		cout << "X and Y are NOT equal" << endl;

	if( x != y )
		cout << "X and Y are NOT equal" << endl;
	else
		cout << "X and Y are equal" << endl;


	return 0;
}