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open Ast
open Ast_util
open Formula
open Typing
open Util
open Abs_domain
open Num_domain
module I (E : ENVIRONMENT_DOMAIN) : sig
type st
val do_prog : int -> rooted_prog -> unit
end = struct
type st = {
rp : rooted_prog;
widen_delay : int;
env : E.t;
f : bool_expr;
cl : conslist;
f_g : bool_expr;
cl_g : conslist;
guarantees : (id * bool_expr) list;
}
(* init state *)
let init_state widen_delay rp =
let f = Formula.eliminate_not (Transform.f_of_prog rp false) in
let cl = Formula.conslist_of_f f in
let f_g = Formula.eliminate_not (Transform.f_of_prog rp true) in
let cl_g = Formula.conslist_of_f f_g in
let env = List.fold_left
(fun env (_, id, ty) -> E.addvar env id ty)
E.init
rp.all_vars
in
let init_f = Transform.init_f_of_prog rp in
let guarantees = Transform.guarantees_of_prog rp in
Format.printf "Init formula: %a@.@." Formula_printer.print_expr init_f;
Format.printf "Cycle formula:@.%a@.@." Formula_printer.print_expr f;
Format.printf "Cycle formula with guarantees:@.%a@.@." Formula_printer.print_expr f_g;
Format.printf "Vars: @[<hov>%a@]@.@." (Ast_printer.print_list Ast_printer.print_typed_var ", ") rp.all_vars;
Format.printf "Guarantees:@.";
List.iter (fun (id, f) ->
Format.printf " %s: %a@." id Formula_printer.print_expr f)
guarantees;
Format.printf "@.";
let env = E.apply_f env init_f in
{ rp; widen_delay;
f; cl; f_g; cl_g;
guarantees; env }
(*
pass_cycle : var_def list -> E.t -> E.t
Does :
- x <- Nx, for all x
- ignore x for all x such that Nx does not exist
*)
let pass_cycle vars e =
let tr_assigns = List.fold_left
(fun q (_, id, _) ->
if id.[0] = 'N' then
(String.sub id 1 (String.length id - 1), NIdent id)::q
else
q)
[] vars
in
let e = E.assign e tr_assigns in
let forget_vars = List.map (fun (_, id, _) -> id)
(List.filter
(fun (_, id, _) ->
not (List.exists (fun (_, id2, _) -> id2 = "N"^id) vars))
vars) in
let e = List.fold_left E.forgetvar e forget_vars in
e
(* cycle : st -> cl -> env -> env *)
let cycle st cl i =
(pass_cycle st.rp.all_vars (E.apply_cl i cl))
(*
loop : st -> env -> env -> env
*)
let loop st pnew stay =
Format.printf "Loop @[<hv>%a@]@.New @[<hv>%a@]@.Stay @[<hv>%a@]@."
Formula_printer.print_conslist st.cl
E.print_all pnew E.print_all stay;
let add_stay = cycle st st.cl pnew in
let acc0 = E.join stay add_stay in
let fsharp cl i =
Format.printf "Acc @[<hv>%a@]@." E.print_all i;
let j = cycle st cl i in
E.join acc0 j
in
let rec iter n i =
let i' =
if n < st.widen_delay
then E.join i (fsharp st.cl_g i)
else E.widen i (fsharp st.cl_g i)
in
if E.eq i i' then i else iter (n+1) i'
in
let x = iter 0 acc0 in
let y = fix E.eq (fsharp st.cl_g) x in (* decreasing iteration *)
let z = E.apply_cl y st.cl in
y, z
(*
do_prog : rooted_prog -> unit
*)
let do_prog widen_delay rp =
let st = init_state widen_delay rp in
let pnew = st.env in
let pnew_c = E.apply_cl pnew st.cl in
let stay, stay_c = loop st pnew (E.vbottom pnew) in
Format.printf "@.@[<hov>New %a@]@.@."
E.print_all pnew_c;
Format.printf "@[<hov>Stay %a@]@.@."
E.print_all stay_c;
let final = E.join pnew_c stay_c in
Format.printf "@[<hov>Final %a@]@.@."
E.print_all final;
let check_guarantee (id, f) =
let cl = Formula.conslist_of_f f in
Format.printf "@[<hv 4>%s:@ %a ⇒ ⊥ @ "
id Formula_printer.print_conslist cl;
let z = E.apply_cl final cl in
if E.is_bot z then
Format.printf "OK@]@ "
else
Format.printf "FAIL@]@ "
in
if st.guarantees <> [] then begin
Format.printf "Guarantee @[<v 0>";
List.iter check_guarantee st.guarantees;
Format.printf "@]@."
end;
if List.exists (fun (p, _, _) -> p) st.rp.all_vars then begin
Format.printf "Probes:@[<v>";
List.iter (fun (p, id, _) ->
if p then Format.printf " %a ∊ %a@ "
Formula_printer.print_id id
E.print_itv (E.var_itv final id))
st.rp.all_vars;
Format.printf "@]@."
end
end
|
