#include "complexNumber.h"
using namespace std;

complexNumber& complexNumber::operator+=(const complexNumber& other) {
    re += other.re;
    im += other.im;
    return *this;
}

complexNumber& complexNumber::operator*=(const complexNumber& other) {
    double temp_re = (re * other.re) - (im * other.im);
    im = (re * other.im) + (im * other.re);
    re = temp_re;
    return *this;
}

complexNumber operator+(complexNumber lhs, const complexNumber& rhs) {
    return lhs += rhs;
}

complexNumber operator*(complexNumber lhs, const complexNumber& rhs) {
    return lhs *= rhs;
}

bool operator==(const complexNumber& lhs, const complexNumber& rhs) {
    return (lhs.re == rhs.re) && (lhs.im == rhs.im);
}

ostream& operator<<(ostream& os, const complexNumber& c) {
    os << c.re << (c.im >= 0 ? " + " : " - ") << abs(c.im) << "i";
    return os;
}