CristalCaveGem » LustreC

(* Comments in function fold_mutate

   TODO: check if we can generate more cases. The following lines were cylcing

   and missing to detect that the enumaration was complete, leading to a non

   terminating process. The current setting is harder but may miss enumerating

   some cases. To be checked! *)

open Lustre_types

open Corelang

open Log

open Format

let random_seed = ref 0

let threshold_delay = 95

let threshold_inc_int = 97

let threshold_dec_int = 97

let threshold_random_int = 96

let threshold_switch_int = 100

(* not implemented yet *)

let threshold_random_float = 100

(* not used yet *)

let threshold_negate_bool_var = 95

let threshold_arith_op = 95

let threshold_rel_op = 95

let threshold_bool_op = 95

let int_consts = ref []

let rename_app id =

  if List.mem id Basic_library.internal_funs || !Options.no_mutation_suffix then

    id

  else

    let node = Corelang.node_from_name id in

    let is_imported =

      match node.top_decl_desc with ImportedNode _ -> true | _ -> false

    in

    if is_imported then id else id ^ "_mutant"

(************************************************************************************)

(* Gathering constants in the code *)

(************************************************************************************)

module IntSet = Set.Make (struct

  type t = int

  let compare = compare

end)

module OpCount = Mmap.Make (struct

  type t = string

  let compare = compare

end)

type records = {

  consts : IntSet.t;

  nb_consts : int;

  nb_boolexpr : int;

  nb_pre : int;

  nb_op : int OpCount.t;

}

let arith_op = [ "+"; "-"; "*"; "/" ]

let bool_op = [ "&&"; "||"; "xor"; "impl" ]

let rel_op = [ "<"; "<="; ">"; ">="; "!="; "=" ]

let ops = arith_op @ bool_op @ rel_op

let all_ops = "not" :: ops

let empty_records =

  {

    consts = IntSet.empty;

    nb_consts = 0;

    nb_boolexpr = 0;

    nb_pre = 0;

    nb_op = OpCount.empty;

  }

let records = ref empty_records

let merge_records records_list =

  let merge_record r1 r2 =

    {

      consts = IntSet.union r1.consts r2.consts;

      nb_consts = r1.nb_consts + r2.nb_consts;

      nb_boolexpr = r1.nb_boolexpr + r2.nb_boolexpr;

      nb_pre = r1.nb_pre + r2.nb_pre;

      nb_op =

        OpCount.merge

          (fun _ r1opt r2opt ->

            match r1opt, r2opt with

            | None, _ ->

              r2opt

            | _, None ->

              r1opt

            | Some x, Some y ->

              Some (x + y))

          r1.nb_op r2.nb_op;

    }

  in

  List.fold_left merge_record empty_records records_list

let compute_records_const_value c =

  match c with

  | Const_int i ->

    { empty_records with consts = IntSet.singleton i; nb_consts = 1 }

  | _ ->

    empty_records

let rec compute_records_expr expr =

  let boolexpr =

    if Types.is_bool_type expr.expr_type then

      { empty_records with nb_boolexpr = 1 }

    else empty_records

  in

  let subrec =

    match expr.expr_desc with

    | Expr_const c ->

      compute_records_const_value c

    | Expr_tuple l ->

      merge_records (List.map compute_records_expr l)

    | Expr_ite (i, t, e) ->

      merge_records (List.map compute_records_expr [ i; t; e ])

    | Expr_arrow (e1, e2) ->

      merge_records (List.map compute_records_expr [ e1; e2 ])

    | Expr_pre e ->

      merge_records

        [ { empty_records with nb_pre = 1 }; compute_records_expr e ]

    | Expr_appl (op_id, args, _) ->

      if List.mem op_id ops then

        merge_records

          [

            { empty_records with nb_op = OpCount.singleton op_id 1 };

            compute_records_expr args;

          ]

      else compute_records_expr args

    | _ ->

      empty_records

  in

  merge_records [ boolexpr; subrec ]

let compute_records_eq eq = compute_records_expr eq.eq_rhs

let compute_records_node nd =

  let eqs, auts = get_node_eqs nd in

  assert (auts = []);

  (* Automaton should be expanded by now *)

  merge_records (List.map compute_records_eq eqs)

let compute_records_top_decl td =

  match td.top_decl_desc with

  | Node nd ->

    compute_records_node nd

  | Const cst ->

    compute_records_const_value cst.const_value

  | _ ->

    empty_records

let compute_records prog =

  merge_records (List.map compute_records_top_decl prog)

(*****************************************************************)

(*                  Random mutation                              *)

(*****************************************************************)

let check_mut e1 e2 =

  let rec eq e1 e2 =

    match e1.expr_desc, e2.expr_desc with

    | Expr_const c1, Expr_const c2 ->

      c1 = c2

    | Expr_ident id1, Expr_ident id2 ->

      id1 = id2

    | Expr_tuple el1, Expr_tuple el2 ->

      List.length el1 = List.length el2 && List.for_all2 eq el1 el2

    | Expr_ite (i1, t1, e1), Expr_ite (i2, t2, e2) ->

      eq i1 i2 && eq t1 t2 && eq e1 e2

    | Expr_arrow (x1, y1), Expr_arrow (x2, y2) ->

      eq x1 x2 && eq y1 y2

    | Expr_pre e1, Expr_pre e2 ->

      eq e1 e2

    | Expr_appl (id1, e1, _), Expr_appl (id2, e2, _) ->

      id1 = id2 && eq e1 e2

    | _ ->

      false

  in

  if not (eq e1 e2) then Some (e1, e2) else None

let mk_cst_expr c = mkexpr Location.dummy_loc (Expr_const c)

let rdm_mutate_int i =

  if Random.int 100 > threshold_inc_int then i + 1

  else if Random.int 100 > threshold_dec_int then i - 1

  else if Random.int 100 > threshold_random_int then Random.int 10

  else if Random.int 100 > threshold_switch_int then

    let idx = Random.int (List.length !int_consts) in

    List.nth !int_consts idx

  else i

let rdm_mutate_real r =

  if Random.int 100 > threshold_random_float then

    (* interval [0, bound] for random values *)

    let bound = 10 in

    (* max number of digits after comma *)

    let digits = 5 in

    (* number of digits after comma *)

    let shift = Random.int (digits + 1) in

    let eshift = 10. ** float_of_int shift in

    let i = Random.int (1 + (bound * int_of_float eshift)) in

    let f = float_of_int i /. eshift in

    Real.create (string_of_int i) shift (string_of_float f)

  else r

let rdm_mutate_op op =

  match op with

  | ("+" | "-" | "*" | "/") when Random.int 100 > threshold_arith_op ->

    let filtered = List.filter (fun x -> x <> op) [ "+"; "-"; "*"; "/" ] in

    List.nth filtered (Random.int 3)

  | ("&&" | "||" | "xor" | "impl") when Random.int 100 > threshold_bool_op ->

    let filtered =

      List.filter (fun x -> x <> op) [ "&&"; "||"; "xor"; "impl" ]

    in

    List.nth filtered (Random.int 3)

  | ("<" | "<=" | ">" | ">=" | "!=" | "=")

    when Random.int 100 > threshold_rel_op ->

    let filtered =

      List.filter (fun x -> x <> op) [ "<"; "<="; ">"; ">="; "!="; "=" ]

    in

    List.nth filtered (Random.int 5)

  | _ ->

    op

let rdm_mutate_var expr =

  if Types.is_bool_type expr.expr_type then

    (* if Random.int 100 > threshold_negate_bool_var then *)

    let new_e = mkpredef_call expr.expr_loc "not" [ expr ] in

    Some (expr, new_e), new_e

    (* else  *)

    (*   expr *)

  else None, expr

let rdm_mutate_pre orig_expr =

  let new_e = Expr_pre orig_expr in

  Some (orig_expr, { orig_expr with expr_desc = new_e }), new_e

let rdm_mutate_const_value c =

  match c with

  | Const_int i ->

    Const_int (rdm_mutate_int i)

  | Const_real r ->

    Const_real (rdm_mutate_real r)

  | Const_array _

  | Const_string _

  | Const_modeid _

  | Const_struct _

  | Const_tag _ ->

    c

let rdm_mutate_const c =

  let new_const = rdm_mutate_const_value c.const_value in

  let mut = check_mut (mk_cst_expr c.const_value) (mk_cst_expr new_const) in

  mut, { c with const_value = new_const }

let select_in_list list rdm_mutate_elem =

  let selected = Random.int (List.length list) in

  let mutation_opt, new_list, _ =

    List.fold_right

      (fun elem (mutation_opt, res, cpt) ->

        if cpt = selected then

          let mutation, new_elem = rdm_mutate_elem elem in

          Some mutation, new_elem :: res, cpt + 1

        else mutation_opt, elem :: res, cpt + 1)

      list (None, [], 0)

  in

  match mutation_opt with Some mut -> mut, new_list | _ -> assert false

let rec rdm_mutate_expr expr =

  let mk_e d = { expr with expr_desc = d } in

  match expr.expr_desc with

  | Expr_ident _ ->

    rdm_mutate_var expr

  | Expr_const c ->

    let new_const = rdm_mutate_const_value c in

    let mut = check_mut (mk_cst_expr c) (mk_cst_expr new_const) in

    mut, mk_e (Expr_const new_const)

  | Expr_tuple l ->

    let mut, l' = select_in_list l rdm_mutate_expr in

    mut, mk_e (Expr_tuple l')

  | Expr_ite (i, t, e) -> (

    let mut, l = select_in_list [ i; t; e ] rdm_mutate_expr in

    match l with

    | [ i'; t'; e' ] ->

      mut, mk_e (Expr_ite (i', t', e'))

    | _ ->

      assert false)

  | Expr_arrow (e1, e2) -> (

    let mut, l = select_in_list [ e1; e2 ] rdm_mutate_expr in

    match l with

    | [ e1'; e2' ] ->

      mut, mk_e (Expr_arrow (e1', e2'))

    | _ ->

      assert false)

  | Expr_pre e ->

    let select_pre = Random.bool () in

    if select_pre then

      let mut, new_expr = rdm_mutate_pre expr in

      mut, mk_e new_expr

    else

      let mut, e' = rdm_mutate_expr e in

      mut, mk_e (Expr_pre e')

  | Expr_appl (op_id, args, r) ->

    let select_op = Random.bool () in

    if select_op then

      let new_op_id = rdm_mutate_op op_id in

      let new_e = mk_e (Expr_appl (new_op_id, args, r)) in

      let mut = check_mut expr new_e in

      mut, new_e

    else

      let mut, new_args = rdm_mutate_expr args in

      mut, mk_e (Expr_appl (op_id, new_args, r))

  (* Other constructs are kept. | Expr_fby of expr * expr | Expr_array of expr

     list | Expr_access of expr * Dimension.dim_expr | Expr_power of expr *

     Dimension.dim_expr | Expr_when of expr * ident * label | Expr_merge of

     ident * (label * expr) list | Expr_uclock of expr * int | Expr_dclock of

     expr * int | Expr_phclock of expr * rat *)

  | _ ->

    None, expr

let rdm_mutate_eq eq =

  let mutation, new_rhs = rdm_mutate_expr eq.eq_rhs in

  mutation, { eq with eq_rhs = new_rhs }

let rnd_mutate_stmt stmt =

  match stmt with

  | Eq eq ->

    let mut, new_eq = rdm_mutate_eq eq in

    report ~level:1 (fun fmt ->

        fprintf fmt "mutation: %a becomes %a@ " Printers.pp_node_eq eq

          Printers.pp_node_eq new_eq);

    mut, Eq new_eq

  | Aut _ ->

    assert false

let rdm_mutate_node nd =

  let mutation, new_node_stmts = select_in_list nd.node_stmts rnd_mutate_stmt in

  mutation, { nd with node_stmts = new_node_stmts }

let rdm_mutate_top_decl td =

  match td.top_decl_desc with

  | Node nd ->

    let mutation, new_node = rdm_mutate_node nd in

    mutation, { td with top_decl_desc = Node new_node }

  | Const cst ->

    let mut, new_cst = rdm_mutate_const cst in

    mut, { td with top_decl_desc = Const new_cst }

  | _ ->

    None, td

(* Create a single mutant with the provided random seed *)

let rdm_mutate_prog prog = select_in_list prog rdm_mutate_top_decl

let rdm_mutate nb prog =

  let rec iterate nb res =

    incr random_seed;

    if nb <= 0 then res

    else (

      Random.init !random_seed;

      let mutation, new_mutant = rdm_mutate_prog prog in

      match mutation with

      | None ->

        iterate nb res

      | Some mutation ->

        if List.mem_assoc mutation res then iterate nb res

        else (

          report ~level:1 (fun fmt -> fprintf fmt "%i mutants remaining@ " nb);

          iterate (nb - 1) ((mutation, new_mutant) :: res)))

  in

  iterate nb []

(*****************************************************************)

(*                  Random mutation                              *)

(*****************************************************************)

type mutant_t =

  | Boolexpr of int

  | Pre of int

  | Op of string * int * string

  | IncrIntCst of int

  | DecrIntCst of int

  | SwitchIntCst of int * int

(* Denotes the parent node, the equation lhs and the location of the mutation *)

type mutation_loc = ident * ident list * Location.t

let target : mutant_t option ref = ref None

let mutation_info : mutation_loc option ref = ref None

let current_node : ident option ref = ref None

let current_eq_lhs : ident list option ref = ref None

let current_loc : Location.t option ref = ref None

let set_mutation_loc () =

  target := None;

  match !current_node, !current_eq_lhs, !current_loc with

  | Some n, Some elhs, Some l ->

    mutation_info := Some (n, elhs, l)

  | _ ->

    assert false

(* Those global vars should be defined during the visitor pattern execution *)

let print_directive fmt d =

  match d with

  | Pre n ->

    Format.fprintf fmt "pre %i" n

  | Boolexpr n ->

    Format.fprintf fmt "boolexpr %i" n

  | Op (o, i, d) ->

    Format.fprintf fmt "%s %i -> %s" o i d

  | IncrIntCst n ->

    Format.fprintf fmt "incr int cst %i" n

  | DecrIntCst n ->

    Format.fprintf fmt "decr int cst %i" n

  | SwitchIntCst (n, m) ->

    Format.fprintf fmt "switch int cst %i -> %i" n m

let print_directive_json fmt d =

  match d with

  | Pre _ ->

    Format.fprintf fmt "\"mutation\": \"pre\""

  | Boolexpr _ ->

    Format.fprintf fmt "\"mutation\": \"not\""

  | Op (o, _, d) ->

    Format.fprintf fmt

      "\"mutation\": \"op_conv\", \"from\": \"%s\", \"to\": \"%s\"" o d

  | IncrIntCst _ ->

    Format.fprintf fmt "\"mutation\": \"cst_incr\""

  | DecrIntCst _ ->

    Format.fprintf fmt "\"mutation\": \"cst_decr\""

  | SwitchIntCst (_, m) ->

    Format.fprintf fmt "\"mutation\": \"cst_switch\", \"to_cst\": \"%i\"" m

let print_loc_json fmt (n, eqlhs, l) =

  Format.fprintf fmt

    "\"node_id\": \"%s\", \"eq_lhs\": [%a], \"loc_line\": \"%i\"" n

    (Utils.fprintf_list ~sep:", " (fun fmt s -> Format.fprintf fmt "\"%s\"" s))

    eqlhs (Location.loc_line l)

let fold_mutate_int i =

  if Random.int 100 > threshold_inc_int then i + 1

  else if Random.int 100 > threshold_dec_int then i - 1

  else if Random.int 100 > threshold_random_int then Random.int 10

  else if Random.int 100 > threshold_switch_int then

    try

      let idx = Random.int (List.length !int_consts) in

      List.nth !int_consts idx

    with _ -> i

  else i

let fold_mutate_float f =

  if Random.int 100 > threshold_random_float then Random.float 10. else f

let fold_mutate_op op =

  (* match op with *)

  (* | "+" | "-" | "*" | "/" when Random.int 100 > threshold_arith_op -> *)

  (*   let filtered = List.filter (fun x -> x <> op) ["+"; "-"; "*"; "/"] in *)

  (*   List.nth filtered (Random.int 3) *)

  (* | "&&" | "||" | "xor" | "impl" when Random.int 100 > threshold_bool_op -> *)

  (* let filtered = List.filter (fun x -> x <> op) ["&&"; "||"; "xor"; "impl"]

     in *)

  (* List.nth filtered (Random.int 3) *)

  (* | "<" | "<=" | ">" | ">=" | "!=" | "=" when Random.int 100 >

     threshold_rel_op -> *)

  (* let filtered = List.filter (fun x -> x <> op) ["<"; "<="; ">"; ">="; "!=";

     "="] in *)

  (*   List.nth filtered (Random.int 5) *)

  (* | _ -> op *)

  match !target with

  | Some (Op (op_orig, 0, op_new)) when op_orig = op ->

    set_mutation_loc ();

    op_new

  | Some (Op (op_orig, n, op_new)) when op_orig = op ->

    target := Some (Op (op_orig, n - 1, op_new));

    op

  | _ ->

    op

let fold_mutate_var expr =

  (* match (Types.repr expr.expr_type).Types.tdesc with  *)

  (* | Types.Tbool -> *)

  (*     (\* if Random.int 100 > threshold_negate_bool_var then *\) *)

  (*     mkpredef_unary_call Location.dummy_loc "not" expr *)

  (*   (\* else  *\) *)

  (*   (\*   expr *\) *)

  (* | _ ->  *)

  expr

let fold_mutate_boolexpr expr =

  match !target with

  | Some (Boolexpr 0) ->

    set_mutation_loc ();

    mkpredef_call expr.expr_loc "not" [ expr ]

  | Some (Boolexpr n) ->

    target := Some (Boolexpr (n - 1));

    expr

  | _ ->

    expr

let fold_mutate_pre orig_expr e =

  match !target with

  | Some (Pre 0) ->

    set_mutation_loc ();

    Expr_pre { orig_expr with expr_desc = Expr_pre e }

  | Some (Pre n) ->

    target := Some (Pre (n - 1));

    Expr_pre e

  | _ ->

    Expr_pre e

let fold_mutate_const_value c =

  match c with

  | Const_int i -> (

    match !target with

    | Some (IncrIntCst 0) ->

      set_mutation_loc ();

      Const_int (i + 1)

    | Some (DecrIntCst 0) ->

      set_mutation_loc ();

      Const_int (i - 1)

    | Some (SwitchIntCst (0, id)) ->

      set_mutation_loc ();

      Const_int id

    | Some (IncrIntCst n) ->

      target := Some (IncrIntCst (n - 1));

      c

    | Some (DecrIntCst n) ->

      target := Some (DecrIntCst (n - 1));

      c

    | Some (SwitchIntCst (n, id)) ->

      target := Some (SwitchIntCst (n - 1, id));

      c

    | _ ->

      c)

  | _ ->

    c

(* match c with | Const_int i -> Const_int (fold_mutate_int i) | Const_real s ->

   Const_real s (* those are string, let's leave them *) | Const_float f ->

   Const_float (fold_mutate_float f) | Const_array _ | Const_tag _ -> c TODO *)

let fold_mutate_const c =

  { c with const_value = fold_mutate_const_value c.const_value }

let rec fold_mutate_expr expr =

  current_loc := Some expr.expr_loc;

  let new_expr =

    match expr.expr_desc with

    | Expr_ident _ ->

      fold_mutate_var expr

    | _ ->

      let new_desc =

        match expr.expr_desc with

        | Expr_const c ->

          Expr_const (fold_mutate_const_value c)

        | Expr_tuple l ->

          Expr_tuple

            (List.fold_right (fun e res -> fold_mutate_expr e :: res) l [])

        | Expr_ite (i, t, e) ->

          Expr_ite (fold_mutate_expr i, fold_mutate_expr t, fold_mutate_expr e)

        | Expr_arrow (e1, e2) ->

          Expr_arrow (fold_mutate_expr e1, fold_mutate_expr e2)

        | Expr_pre e ->

          fold_mutate_pre expr (fold_mutate_expr e)

        | Expr_appl (op_id, args, r) ->

          Expr_appl (fold_mutate_op op_id, fold_mutate_expr args, r)

        (* Other constructs are kept. | Expr_fby of expr * expr | Expr_array of

           expr list | Expr_access of expr * Dimension.dim_expr | Expr_power of

           expr * Dimension.dim_expr | Expr_when of expr * ident * label |

           Expr_merge of ident * (label * expr) list | Expr_uclock of expr * int

           | Expr_dclock of expr * int | Expr_phclock of expr * rat *)

        | _ ->

          expr.expr_desc

      in

      { expr with expr_desc = new_desc }

  in

  if Types.is_bool_type expr.expr_type then fold_mutate_boolexpr new_expr

  else new_expr

let fold_mutate_eq eq =

  current_eq_lhs := Some eq.eq_lhs;

  { eq with eq_rhs = fold_mutate_expr eq.eq_rhs }

let fold_mutate_stmt stmt =

  match stmt with Eq eq -> Eq (fold_mutate_eq eq) | Aut _ -> assert false

let fold_mutate_node nd =

  current_node := Some nd.node_id;

  let nd =

    {

      nd with

      node_stmts =

        List.fold_right

          (fun stmt res -> fold_mutate_stmt stmt :: res)

          nd.node_stmts [];

    }

  in

  rename_node rename_app (fun x -> x) nd

let fold_mutate_top_decl td =

  match td.top_decl_desc with

  | Node nd ->

    { td with top_decl_desc = Node (fold_mutate_node nd) }

  | Const cst ->

    { td with top_decl_desc = Const (fold_mutate_const cst) }

  | _ ->

    td

(* Create a single mutant with the provided random seed *)

let fold_mutate_prog prog =

  List.fold_right (fun e res -> fold_mutate_top_decl e :: res) prog []

let create_mutant prog directive =

  target := Some directive;

  let prog' = fold_mutate_prog prog in

  let mutation_info =

    match !target, !mutation_info with

    | None, Some mi ->

      mi

    | _ ->

      Format.eprintf "Failed when creating mutant for directive %a@.@?"

        print_directive directive;

      let _ =

        match !target with

        | Some dir' ->

          Format.eprintf "New directive %a@.@?" print_directive dir'

        | _ ->

          ()

      in

      assert false

    (* The mutation has not been performed. *)

  in

  (* target := None; (* should happen only if no mutation occured during the

     visit *)*)

  prog', mutation_info

let op_mutation op =

  let res =

    let rem_op l = List.filter (fun e -> e <> op) l in

    if List.mem op arith_op then rem_op arith_op

    else if List.mem op bool_op then rem_op bool_op

    else if List.mem op rel_op then rem_op rel_op

    else (

      Format.eprintf "Failing with op %s@." op;

      assert false)

  in

  (* Format.eprintf "Mutation op %s to [%a]@." op (Utils.fprintf_list ~sep:","

     Format.pp_print_string) res; *)

  res

let rec remains select list =

  match list with

  | [] ->

    []

  | hd :: tl ->

    if select hd then tl else remains select tl

let next_change m =

  let res =

    let rec first_op () =

      try

        let min_binding = OpCount.min_binding !records.nb_op in

        Op (fst min_binding, 0, List.hd (op_mutation (fst min_binding)))

      with Not_found -> first_boolexpr ()

    and first_boolexpr () =

      if !records.nb_boolexpr > 0 then Boolexpr 0 else first_pre ()

    and first_pre () = if !records.nb_pre > 0 then Pre 0 else first_op ()

    and first_intcst () =

      if IntSet.cardinal !records.consts > 0 then IncrIntCst 0

      else first_boolexpr ()

    in

    match m with

    | Boolexpr n ->

      if n + 1 >= !records.nb_boolexpr then first_pre () else Boolexpr (n + 1)

    | Pre n ->

      if n + 1 >= !records.nb_pre then first_op () else Pre (n + 1)

    | Op (orig, id, mut_op) -> (

      match remains (fun x -> x = mut_op) (op_mutation orig) with

      | next_op :: _ ->

        Op (orig, id, next_op)

      | [] ->

        if id + 1 >= OpCount.find orig !records.nb_op then

          match

            remains (fun (k1, _) -> k1 = orig) (OpCount.bindings !records.nb_op)

          with

          | [] ->

            first_intcst ()

          | hd :: _ ->

            Op (fst hd, 0, List.hd (op_mutation (fst hd)))

        else Op (orig, id + 1, List.hd (op_mutation orig)))

    | IncrIntCst n ->

      if n + 1 >= IntSet.cardinal !records.consts then DecrIntCst 0

      else IncrIntCst (n + 1)

    | DecrIntCst n ->

      if n + 1 >= IntSet.cardinal !records.consts then SwitchIntCst (0, 0)

      else DecrIntCst (n + 1)

    | SwitchIntCst (n, m) ->

      if m + 1 > -1 + IntSet.cardinal !records.consts then

        SwitchIntCst (n, m + 1)

      else if n + 1 >= IntSet.cardinal !records.consts then

        SwitchIntCst (n + 1, 0)

      else first_boolexpr ()

  in

  (* Format.eprintf "from: %a to: %a@." print_directive m print_directive res; *)

  res

let fold_mutate nb prog =

  incr random_seed;

  Random.init !random_seed;

  (* Local references to keep track of generated directives *)

  (* build a set of integer 0, 1, ... n-1 for input n *)

  let cpt_to_intset cpt =

    let arr = Array.init cpt (fun x -> x) in

    Array.fold_right IntSet.add arr IntSet.empty

  in

  let possible_const_id = cpt_to_intset !records.nb_consts in

  (* let possible_boolexpr_id = cpt_to_intset !records.nb_boolexpr in *)

  (* let possible_pre_id = cpt_to_intset !records.nb_pre in *)

  let incremented_const_id = ref IntSet.empty in

  let decremented_const_id = ref IntSet.empty in

  let create_new_incr_decr registered build =

    let possible =

      IntSet.diff possible_const_id !registered |> IntSet.elements

    in

    let len = List.length possible in

    if len <= 0 then false, build (-1) (* Should not be stored *)

    else

      let picked = List.nth possible (Random.int (List.length possible)) in

      registered := IntSet.add picked !registered;

      true, build picked

  in

  let module DblIntSet = Set.Make (struct

    type t = int * int

    let compare = compare

  end) in

  let switch_const_id = ref DblIntSet.empty in

  let switch_set =

    if IntSet.cardinal !records.consts <= 1 then DblIntSet.empty

    else

      (* First element is cst id (the ith cst) while second is the ith element

         of the set of gathered constants !record.consts *)

      IntSet.fold

        (fun cst_id set ->

          IntSet.fold

            (fun ith_cst set -> DblIntSet.add (cst_id, ith_cst) set)

            !records.consts set)