Complex

A class to represent a complex number using operator overload

Representation

A complex number: $c = a + bi$

The class will represent it using two doubles to model the real and imaginary parts of the complex number.

class Complex{
private:
    double _real, _imaginary;
public:
    // The rest
    
};

Operations

We will do some, but not all, operations.

Given $c \in \mathbb{C}, p \in \mathbb{C}, q \in \mathbb{C}$

Operation	Example
Assignment	c = Complex(1, 2)
Sum	c = p + q
Addition	c += q
Minus	c = -q
Stream Insertion	cout << c << endl;

Some rules for operator overloading

Given an operator that we want to overload, the operator can be binary or unary. Furthermore, the operator can be overloaded as a member function or not. The number of parameters will depend on these conditions.

	Member function	Non-member Function
Unary Operator	No parameters	One parameter
Binary Operator	One paramater	Two parameters