module type MATRIX = sig
+ module Point : sig
+ type t = {r : int; k : int}
+ end
+
type 'a t
- val create : rows:int -> cols:int -> data:'a -> 'a t
+ val create : rs:int -> ks:int -> 'a -> 'a t
+
+ val get_neighbors : 'a t -> Point.t -> 'a list
- val get : 'a t -> row:int -> col:int -> 'a
+ val map : 'a t -> f:('a -> 'b) -> 'b t
- val set : 'a t -> row:int -> col:int -> data:'a -> unit
+ val mapi : 'a t -> f:(Point.t -> 'a -> 'b) -> 'b t
- val map : 'a t -> f:(row:int -> col:int -> data:'a -> 'b) -> 'b t
+ val iter : 'a t -> f:(Point.t -> 'a -> unit) -> unit
- val iter : 'a t -> f:(row:int -> col:int -> data:'a -> unit) -> unit
+ val print : 'a t -> to_string:('a -> string) -> unit
end
module Matrix : MATRIX = struct
+ module Point = struct
+ type t = {r : int; k : int}
+
+ let (+) p p' =
+ { r = p.r + p'.r
+ ; k = p.k + p'.k
+ }
+ end
+
+ module Direction = struct
+ type t = NW | N | NE
+ | W | E
+ | SW | S | SE
+
+ let all = [ NW ; N ; NE
+ ; W ; E
+ ; SW ; S ; SE
+ ]
+
+ let to_offset =
+ let open Point in
+ function
+ | NW -> {r = -1; k = -1}
+ | N -> {r = -1; k = 0}
+ | NE -> {r = -1; k = 1}
+ | W -> {r = 0; k = -1}
+ | E -> {r = 0; k = 1}
+ | SW -> {r = 1; k = -1}
+ | S -> {r = 1; k = 0}
+ | SE -> {r = 1; k = 1}
+ end
+
type 'a t = 'a array array
- let create ~rows ~cols ~data =
- Array.make_matrix ~dimx:rows ~dimy:cols data
+ let create ~rs ~ks x =
+ Array.make_matrix ~dimx:rs ~dimy:ks x
let iter t ~f =
Array.iteri t ~f:(
- fun row cols ->
- Array.iteri cols ~f:(
- fun col data ->
- f ~row ~col ~data
+ fun r ks ->
+ Array.iteri ks ~f:(
+ fun k x ->
+ f {Point.r; Point.k} x
)
)
+ let print t ~to_string =
+ Array.iter t ~f:(
+ fun r ->
+ Array.iter r ~f:(fun x -> printf "%s" (to_string x));
+ print_newline ()
+ )
+
let map t ~f =
+ Array.map t ~f:(Array.map ~f:(fun x -> f x))
+
+ let mapi t ~f =
Array.mapi t ~f:(
- fun row cols ->
- Array.mapi cols ~f:(
- fun col data ->
- f ~row ~col ~data
+ fun r ks ->
+ Array.mapi ks ~f:(
+ fun k x ->
+ f {Point.r; Point.k} x
)
)
- let get t ~row ~col =
- t.(row).(col)
+ let get t {Point.r; Point.k} =
+ t.(r).(k)
- let set t ~row ~col ~data =
- t.(row).(col) <- data
+ let is_within_bounds t {Point.r; Point.k} =
+ match t with
+ | [||] -> assert false
+ | t ->
+ r >= 0 && r < Array.length t &&
+ k >= 0 && k < Array.length t.(0)
+
+ let neighborhood t point =
+ List.map Direction.all ~f:Direction.to_offset
+ |> List.map ~f:(fun offset_point -> Point.(point + offset_point))
+ |> List.filter ~f:(is_within_bounds t)
+
+ let get_neighbors t point =
+ List.map (neighborhood t point) ~f:(get t)
end
module type CELL = sig
type t
+ val create : unit -> t
+
+ val to_string : t -> string
+
val state : t -> int
val react : t -> states:int list -> t
module Conway : CELL = struct
type t = D | A
- let state = function
+ let of_int = function
+ | 0 -> D
+ | 1 -> A
+ | _ -> assert false
+
+ let to_int = function
| D -> 0
| A -> 1
+ let to_string = function
+ | D -> " "
+ | A -> "o"
+
+ let create () =
+ Random.int 2 |> of_int
+
+ let state = to_int
+
let react t ~states =
let live_neighbors = List.fold_left states ~init:0 ~f:(+) in
match t with
| A when live_neighbors < 4 -> A
| A when live_neighbors > 3 -> D
| D when live_neighbors = 3 -> A
- | t -> t
+ | A -> A
+ | D -> D
end
+type opt = { interval : Time.Span.t
+ ; bar : string
+ }
+
+
+let rec loop opt grid =
+ print_endline opt.bar;
+ Matrix.print grid ~to_string:Conway.to_string;
+ print_endline opt.bar;
+
+ let grid =
+ Matrix.mapi grid ~f:(fun point cell ->
+ let neighbors = Matrix.get_neighbors grid point in
+ Conway.react cell ~states:(List.map neighbors ~f:Conway.state)
+ )
+ in
+ Time.pause opt.interval;
+ loop opt grid
+
+
let main () =
- let pool = Matrix.create ~rows:5 ~cols:5 ~data:() in
- Matrix.iter pool ~f:(
- fun ~row ~col ~data:() -> printf "R: %d, K: %d\n" row col
- )
+ Random.self_init ();
+ let rs, ks = Or_error.ok_exn Linux_ext.get_terminal_size () in
+ Matrix.create ~rs:(rs - 3) ~ks ()
+ |> Matrix.map ~f:Conway.create
+ |> loop { interval = Time.Span.of_float 0.1
+ ; bar = String.make ks '-'
+ }
+
+
+let spec =
+ let summary = "Polymorphic Cellular Automata" in
+ let spec = Command.Spec.empty in
+ Command.basic ~summary spec main
-let () = main ()
+let () = Command.run spec