Global operator overloading in F#

Question

I\'m starting down the road of defining my own operators for Cartesian products and matrix multiplication.

With matrices and vectors aliased as lists:

Answer 1

Here is the (non idiomatic) solution:

type Mult = Mult with
    static member inline ($) (Mult, v1: 'a list) = fun (v2: 'b list) -> 
        v1 |> List.collect (fun x -> v2 |> List.map (fun y -> (x, y))) : list<'a * 'b>
    static member inline ($) (Mult, v1:'a      ) = fun (v2:'a) -> v1 * v2 :'a

let inline (*) v1 v2 = (Mult $ v1) v2