How do I implement the Add trait for a reference to a struct?

I made a two element Vector struct and I want to overload the + operator.

I made all my functions and methods take references, rather than values, and I want the + operator to work the same way.

impl Add for Vector {
    fn add(&self, other: &Vector) -> Vector {
        Vector {
            x: self.x + other.x,
            y: self.y + other.y,
        }
    }
}

Depending on which variation I try, I either get lifetime problems or type mismatches. Specifically, the &self argument seems to not get treated as the right type.

I have seen examples with template arguments on impl as well as Add, but they just result in different errors.

I found How can an operator be overloaded for different RHS types and return values? but the code in the answer doesn't work even if I put a use std::ops::Mul; at the top.

I am using rustc 1.0.0-nightly (ed530d7a3 2015-01-16 22:41:16 +0000)

I won't accept "you only have two fields, why use a reference" as an answer; what if I wanted a 100 element struct? I will accept an answer that demonstrates that even with a large struct I should be passing by value, if that is the case (I don't think it is, though.) I am interested in knowing a good rule of thumb for struct size and passing by value vs struct, but that is not the current question.

You need to implement Add on &Vector rather than on Vector.

impl Add for &'a Vector {
    type Output = Vector;

    fn add(self, other: &'b Vector) -> Vector {
        Vector {
            x: self.x + other.x,
            y: self.y + other.y,
        }
    }
}

In its definition, Add::add always takes self by value. But references are types like any other1, so they can implement traits too. When a trait is implemented on a reference type, the type of self is a reference; the reference is passed by value. Normally, passing by value in Rust implies transferring ownership, but when references are passed by value, they're simply copied (or reborrowed/moved if it's a mutable reference), and that doesn't transfer ownership of the referent (because a reference doesn't own its referent in the first place). Considering all this, it makes sense for Add::add (and many other operators) to take self by value: if you need to take ownership of the operands, you can implement Add on structs/enums directly, and if you don't, you can implement Add on references.

Here, self is of type &'a Vector, because that's the type we're implementing Add on.

Note that I also specified the RHS type parameter with a different lifetime to emphasize the fact that the lifetimes of the two input parameters are unrelated.

1 Actually, reference types are special in that you can implement traits for references to types defined in your crate (i.e. if you're allowed to implement a trait for T, then you're also allowed to implement it for &T). &mut T and Box have the same behavior, but that's not true in general for U where U is not defined in the same crate.

Stack Overflow Q#28005134, score: 118