open StdLabels

type t = float * string

module CharSet = Set.Make (Char)

let compare_words : string -> ref:string * CharSet.t -> Validity.t array option
    =
 fun w1 ~ref ->
  let wordRef = fst ref in
  let l1 = String.length w1 in
  if l1 <> String.length wordRef
  then None
  else
    let result =
      Array.init l1 ~f:(fun i ->
          let c1 = String.get w1 i
          and c2 = String.get wordRef i in

          let state =
            if Char.equal c1 c2
            then Validity.Wellplaced
            else if CharSet.mem c1 (snd ref)
            then Validity.Misplaced
            else Validity.Missing
          in
          state )
    in
    Some result


let get_entropy max_element words_number arr =
  let entropy = ref 0. in
  for idx = 0 to max_element - 1 do
    let content = Float.of_int (Bigarray.Array1.get arr idx) in
    if content > 0.
    then
      let ratio = content /. words_number in
      entropy := !entropy -. (ratio *. Float.log2 ratio)
  done;
  entropy


let analyse : int -> catalog:Wordlist.t -> Wordlist.t -> t =
 fun base ~catalog words ->
  (* If we have only two elements, just pick one of them *)
  if Wordlist.list_size words <= 2
  then (0.5, Option.get @@ Wordlist.pick words)
  else
    let words_number = Float.of_int (Wordlist.list_size catalog) in

    (* Each result from the game is stored as an integer, and we create an
       array with as many elements as we have possibilities. *)
    let max_element =
      Float.to_int @@ (Validity.elements ** Float.of_int base)
    in
    let arr =
      Bigarray.Array1.create Bigarray.Int Bigarray.C_layout max_element
    in
    match Wordlist.pick words with
    | None -> (0., "")
    | Some v ->
        let score, word, _ =
          Seq.fold_left
            (fun (score, word, already_picked) word_ref ->
              (* Reinitialize the array (we use the same in the successive
                 iterations) *)
              Bigarray.Array1.fill arr 0;

              let set_ref = String.to_seq word_ref |> CharSet.of_seq in
              Seq.iter
                (fun w2 ->
                  let result = compare_words ~ref:(word_ref, set_ref) w2 in
                  match result with
                  | None -> ()
                  | Some r ->
                      let idx = Validity.index_of_result r in

                      let content = Bigarray.Array1.get arr idx in
                      Bigarray.Array1.set arr idx (succ content) )
                (Wordlist.words words);

              let entropy = get_entropy max_element words_number arr in

              (* If get more information that we had, use this word. Choose this
                 word to if it belongs to the final list (it gives a small chance
                 to pick the right one…) *)
              let is_better, already_picked =
                if !entropy > score
                then (true, false)
                else if (not already_picked)
                        && !entropy == score
                        && Wordlist.mem word_ref words
                then (true, true)
                else (false, already_picked)
              in

              if is_better
              then (
                Printf.printf
                  "Q. of information when selecting %s : %f\n"
                  word_ref
                  !entropy;
                (!entropy, word_ref, already_picked) )
              else (score, word, already_picked) )
            (-0., v, false)
            (Wordlist.words catalog)
        in
        (score, word)