Using Operator Overloading for Math

When programming, there are many occasions where one wants to define addition/multiplication and different kinds of operations for a mathematical object. For example, one might define a vector or matrix and some addition/subtraction/multiplication functions to go with it.

One can define a Vec3 in the following way:

Vec3 :: struct {
    x: float;
    y: float;
    z: float;
}

Given the above definition, one can overload the addition operator as follows:

operator + :: (a: Vec3, b: Vec3) -> Vec3 {
    c: Vec3;
    c.x = a.x + b.x;
    c.y = a.y + b.y;
    c.z = a.z + b.z;
    return c;
}

Here is how one can overload the subtraction operator for Vec3.

operator - :: (a: Vec3, b: Vec3) -> Vec3 {
    c: Vec3;
    c.x = a.x - b.x;
    c.y = a.y - b.y;
    c.z = a.z - b.z;
    return c;
}