// Compile:
//      g++ -o Complex Complex.cpp
//
// Run:
//      Complex
// 
// This file uses more C++ syntax than you've seen before.  That's ok.
// Take your best guess at the semantics.

#include <stdio.h>

class Complex {
public:
    float        real;
    float        imag;

    Complex(float a = 0.0f, float b = 0.0f); 
    
    Complex operator+(const Complex& other) const;

    Complex operator*(const Complex& other) const;
};

Complex::Complex(float a, float b) : real(a), imag(b) {}

Complex Complex::operator+(const Complex& other) const {
    return Complex(real + other.real, imag + other.imag);
}

Complex Complex::operator*(const Complex& other) const {
    return Complex(real * other.real - imag * other.imag, 
                   real * other.imag + imag * other.real);
}


int main(int argc, const char* argv[]) {
    float x = 7.0f;
    float y = 1.2f;
    float z = x * y;

    printf("z = %f\n", z);

    Complex q(1.0f, 2.0f);
    Complex r(0.5f, 6.0f);

    // Overloaded * operator
    Complex s = q * r;

    printf("s = %f + %fi\n", s.real, s.imag);
    
    return 0;
}