Overloading compound-assignment-operator in C++ does not change variable

Question

In order to become more familiar with C++, I'm implementing a class to manipulate complex numbers.

class Complex {
    private:
        double _real;
        double _imag;

    public:
        Complex();
        Complex(double real, double imag);
        Complex(const Complex& z);

        Complex operator+(const Complex& u) const;
        Complex operator+=(const Complex& u);
};

I already overloaded the + operator which works as expected:

Complex Complex::operator+(const Complex& u) const {
    Complex z(_real + u._real, _imag + u._imag);
    return z;
}

u=1-2i
v=2-1i
u+v=3-3i

In addition, I wanted to overload += as well:

Complex Complex::operator+=(const Complex& u) {
    Complex z(_real + u._real, _imag + u._imag);
    return z;
}

This however, does not work as expected and the result of u+=v is u=1-2i. Why is that the case?

Answer 1

Your compound assignment operator creates a new object z instead of changing the original object.

Declare the operator within the class definition like

Complex & operator+=(const Complex& u);

and define it the following way

Complex & Complex::operator+=(const Complex& u) {
    _real += u._real;
    _imag += u._imag;

    return *this;
}

The operator can be defined as a non-class friend function. For example

class Complex {
    private:
        double _real;
        double _imag;

    public:
        Complex();
        Complex(double real, double imag);
        Complex(const Complex& z);

        Complex operator+(const Complex& u) const;
        friend Complex & operator+=(Complex &v, const Complex& u);
};
Complex & operator+=(Complex &v, const Complex& u)
{
    v._real += u._real;
    v._imag += u._imag;

    return v;
}

Answer 2

First of all assign like operators should return reference to assigned value.

Secondly your code should change value of current object.

There are couple solutions:

Complex& Complex::operator+=(const Complex& u) {
    *this = Complex(_real + u._real, _imag + u._imag);
    return *this;
}

Or

Complex& Complex::operator+=(const Complex& u) {
    _real += u._real;
    _imag += u._imag;

    return *this;
}