This library defines a syntax extension allowing you to automatically produce a list of all values of a type (for a type which only has finitely many values).

Basic Usage

The basic usage is simply to add "with enumerate" after the type definition. For example:

type t =
| Foo
| Bar of bool
| Baz of [`A | `B of unit option]
with enumerate

will produce a value val all : t list, whose value is equal to

[ Foo; Bar true; Bar false; Baz `A; Baz (`B None); Baz (`B Some ()) ]

in some order (that is, there is no guarantee about the order of the list).

Polymorphic types

In a similar fashion as sexplib, using 'with enumerate' on polymorphic types produces a function for [all]. For example,

type 'a t =
| Foo
| Bar of 'a option
with enumerate

will produce a value val all : 'a list -> 'a t list, whose value is semantically equal to

fun all_of_a -> Foo :: Bar None :: List.map all_of_a ~f:(fun x -> Bar (Some x))

Types not named t

If the type is not named t, then the enumeration is called all_of_<type_name> instead of all.

Records and Tuples

Product types are supported as well as sum types. For example,

type t =
  { foo : [`A | `B]
  ; bar : [`C | `D]
  } with enumerate

produces a val all : t list whose value is equal (up to order) to:

[ { foo = `A; bar = `C }; { foo = `A; bar = `D };
  { foo = `B; bar = `C }; { foo = `B; bar = `D };
]

Tuples and variants with multiple arguments are similarly supported.

Overriding the all value

Just like with sexplib, it can sometimes be useful to provide a custom value of all. For example, you might define a type of bounded integers:

module Small_int : sig
  type t = private int with enumerate
  val create_exn : int -> t
end = struct
  type t = int
  let limit = 100
  let create_exn i = if i < 0 || i >= limit then failwith "out of bounds"; i
  let all = List.init limit ~f:(fun i -> i)
end

You could then use Small_int.t as normal with other types using with enumerate:

type t =
| Foo
| Bar of Small_int.t option
with enumerate    

Using all without defining a type name

You don't have to define a type name to be able to create the list of values of a type. You do it for any type expression by using the all quotation. For example:

<:all< bool * bool >>

which will evaluate to:

[ (true, true); (true, false); (false, false); (false, true) ]

Known issues

Using all for polymorphic variants with duplicated constructors lead to duplicate values in the resulting lists:

type t = [ `A ] with enumerate
let () = assert (<:all< [ t | t ] >> = [ `A; `A ])