open Lambda4;;
open Util;;

let acaso l =
    let n = Random.int (List.length l) in
    List.nth l n
;;

let acaso2 l1 l2 =
  let n1 = List.length l1 in
  let n = Random.int (n1 + List.length l2) in
  if n >= n1 then List.nth l2 (n - n1) else List.nth l1 n
;;

(* let rec take l n =
  if n = 0 then []
  else match l with
  | [] -> []
  | x::xs -> x :: (take xs (n-1))
;; *)

let gen n vars =
  let rec take' l n =
    if n = 0 then [], []
    else match l with
    | [] -> [], []
    | [_] -> assert false
    | x1::x2::xs -> let a, b = take' xs (n-1) in x1::a,x2::b in
  let rec aux n inerts lams =
    if n = 0 then List.hd inerts, take' (Util.sort_uniq (List.tl inerts)) 5
    else let inerts, lams = if Random.int 2 = 0
      then inerts, ("(" ^ acaso vars ^ ". " ^ acaso2 inerts lams ^ ")") :: lams
      else ("(" ^ acaso inerts ^ " " ^ acaso2 inerts lams^ ")") :: inerts, lams
    in aux (n-1) inerts lams
  in aux (2*n) vars []
;;


let rec repeat f n =
  prerr_endline "\n########################### NEW TEST ###########################";
  f () ;
  if n > 0 then repeat f (n-1)
;;

let solve div convs nums =
 let p = String.concat "\n" (
  "$! randomly generated test" ::
  ("D " ^ div) ::
  List.map ((^) "C ") convs @
  List.map (fun s -> "N " ^ s ^ " Z") nums
 ) in
 prerr_endline p;
 (Lambda4.solve ++ Lambda4.problem_of ++ Parser.problem_of_string) p
;;

let main =
  Random.self_init ();
  let num = 100 in
  let complex = 200 in
  let vars = ["x"; "y"; "z"; "v" ; "w"; "a"; "b"; "c"] in

  repeat (fun _ ->
    let div, (conv, nums) = gen complex vars in
    solve div conv nums
  ) num
  ;

  prerr_endline "\n---- ALL TESTS COMPLETED ----"
;;