436 lines
11 KiB
OCaml
436 lines
11 KiB
OCaml
(****************************************************)
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(* *)
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(* Sigali Library *)
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(* *)
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(* Author : Gwenaël Delaval *)
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(* Organization : INRIA Rennes, VerTeCs *)
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(* *)
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(****************************************************)
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(* $Id: sigali.ml 2416 2011-01-13 17:00:15Z delaval $ *)
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(* Sigali representation and output *)
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type name = string
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type var = name
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type const = Cfalse | Cabsent | Ctrue | Cint of int
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type exp =
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| Sconst of const
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| Svar of name
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| Swhen of exp * exp (* e1 when e2 *)
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| Sdefault of exp * exp (* e1 default e2 *)
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| Sequal of exp * exp (* e1 = e2 *)
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| Ssquare of exp (* e^2 *)
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| Snot of exp (* not e *)
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| Sand of exp * exp (* e1 and e2 *)
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| Sor of exp * exp (* e1 or e2 *)
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| Sprim of name * exp list (* f(e1,...,en) *)
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| Slist of exp list (* [e1,...,en] *)
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| Splus of exp * exp (* e1 + e2 *)
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| Sminus of exp * exp (* e1 - e2 *)
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| Sprod of exp * exp (* e1 * e2 *)
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type statement = { (* name : definition *)
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stmt_name : name;
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stmt_def : exp;
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}
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type objective =
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| Security of exp
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| Reachability of exp
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| Attractivity of exp
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type processus = {
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proc_dep : name list;
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proc_name : name;
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proc_inputs : var list;
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proc_uncont_inputs : var list;
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proc_outputs : var list;
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proc_controllables : var list;
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proc_states : var list;
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proc_init : const list;
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proc_constraints : exp list;
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proc_body : statement list;
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proc_objectives : objective list;
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}
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type program = processus list
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let concat e1 e2 =
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Sprim("concat",[e1;e2])
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let evolutions = "evolutions"
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let initialisations = "initialisations"
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let constraints = "constraints"
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let extend var e =
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{ stmt_name = var ;
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stmt_def = concat (Svar(var)) e }
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let subst e1 e2 e3 =
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Sprim ("subst",[e1;e2;e3])
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let l_subst e1 e2 e3 =
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Sprim ("l_subst",[e1;e2;e3])
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let evolution p =
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Sprim ("evolution",[p])
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let initial p =
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Sprim ("initial",[p])
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let pconstraint p =
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Sprim ("constraint",[p])
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let ifthenelse e1 e2 e3 =
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Sdefault(Swhen(e2,e1),e3)
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let (&~) e1 e2 =
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match e1,e2 with
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| Sconst(Cfalse), _
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| _, Sconst(Cfalse) -> Sconst(Cfalse)
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| Sconst(Ctrue), e
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| e, Sconst(Ctrue) -> e
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| _ -> Sand(e1,e2)
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let (|~) e1 e2 =
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match e1,e2 with
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| Sconst(Ctrue), _
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| _, Sconst(Ctrue) -> Sconst(Ctrue)
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| Sconst(Cfalse), e
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| e, Sconst(Cfalse) -> e
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| _ -> Sor(e1,e2)
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let (=>~) e1 e2 =
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match e1,e2 with
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| Sconst(Ctrue), e -> e
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| _, Sconst(Ctrue)
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| Sconst(Cfalse), _ -> Sconst(Ctrue)
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| _ -> Sor(Snot(e1),e2)
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let a_const e =
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Sprim ("a_const",[e])
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let a_var e e1 e2 e3 =
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Sprim ("a_var", [e;e1;e2;e3])
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let a_part e e1 e2 e3 =
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Sprim ("a_part", [e;e1;e2;e3])
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let a_inf e1 e2 =
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Sprim ("a_inf", [e1;e2])
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let a_sup e1 e2 =
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Sprim ("a_sup", [e1;e2])
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module Printer =
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struct
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open Format
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let rec print_list ff print sep l =
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match l with
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| [] -> ()
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| [x] -> print ff x
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| x :: l ->
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print ff x;
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fprintf ff "%s@ " sep;
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print_list ff print sep l
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let print_string ff s =
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fprintf ff "%s" s
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let print_name ff n =
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fprintf ff "%s" n
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let print_const ff c =
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match c with
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| Cfalse -> fprintf ff "-1"
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| Ctrue -> fprintf ff "1"
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| Cabsent -> fprintf ff "0"
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| Cint(v) -> fprintf ff "%d" v
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let rec print_exp ff e =
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match e with
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| Sconst(c) -> print_const ff c
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| Svar(v) -> print_name ff v
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| Swhen(e1,e2) ->
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fprintf ff "(%a@ when %a)"
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print_exp e1
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print_exp e2
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| Sdefault(e1,e2) ->
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fprintf ff "(%a@ default %a)"
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print_exp e1
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print_exp e2
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| Sequal(e1,e2) ->
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fprintf ff "(%a@ = %a)"
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print_exp e1
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print_exp e2
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| Ssquare(e) ->
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fprintf ff "(%a^2)"
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print_exp e
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| Snot(e) ->
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fprintf ff "(not %a)"
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print_exp e
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| Sand(e1,e2) ->
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fprintf ff "(%a@ and %a)"
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print_exp e1
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print_exp e2
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| Sor(e1,e2) ->
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fprintf ff "(%a@ or %a)"
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print_exp e1
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print_exp e2
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| Sprim(f,e_l) ->
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fprintf ff "%s(@[" f;
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print_list ff print_exp "," e_l;
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fprintf ff "@])"
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| Slist(e_l) ->
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fprintf ff "[@[";
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print_list ff print_exp "," e_l;
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fprintf ff "]@]"
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| Splus(e1,e2) ->
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fprintf ff "(%a@ + %a)"
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print_exp e1
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print_exp e2
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| Sminus(e1,e2) ->
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fprintf ff "(%a@ - %a)"
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print_exp e1
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print_exp e2
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| Sprod(e1,e2) ->
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fprintf ff "(%a@ * %a)"
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print_exp e1
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print_exp e2
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let print_statement ff { stmt_name = name; stmt_def = e } =
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fprintf ff "@[<hov 2>%a : %a;@]"
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print_name name
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print_exp e
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let print_statements ff stmt_l =
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fprintf ff "@[<v>";
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print_list ff print_statement "" stmt_l;
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fprintf ff "@]@ "
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let print_objective name ff obj =
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match obj with
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| Security(e) ->
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fprintf ff "%s : S_Security(%s,B_True(%s,%a));"
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name name name
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print_exp e
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| Reachability(e) ->
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fprintf ff "%s : S_Reachable(%s,B_True(%s,%a));"
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name name name
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print_exp e
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| Attractivity(e) ->
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fprintf ff "%s : S_Attractivity(%s,B_True(%s,%a));"
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name name name
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print_exp e
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let print_verification name ff obj =
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match obj with
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| Security(e) ->
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fprintf ff "verif_result : verif_result andb notb Reachable(%s,B_False(%s,%a));"
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name name
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print_exp e
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| Reachability(e) ->
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fprintf ff "verif_result : verif_result andb Reachable(%s,B_True(%s,%a));"
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name name
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print_exp e
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| Attractivity(_) -> failwith("Attractivity verification not allowed")
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let sigali_head = "
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set_reorder(2);\
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\
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read(\"Property.lib\");\
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read(\"Synthesis.lib\");\
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read(\"Verif_Determ.lib\");\
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read(\"Simul.lib\");\
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read(\"Synthesis_Partial_order.lib\");\
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read(\"Orbite.lib\");\
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"
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let sigali_foot = ""
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let print_processus dir ({ proc_dep = dep_list;
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proc_name = name;
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proc_inputs = inputs;
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proc_uncont_inputs = uncont_inputs;
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proc_outputs = outputs;
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proc_controllables = controllables;
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proc_states = states;
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proc_constraints = constraints;
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proc_body = body;
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proc_objectives = objectives;
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}) =
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let sigc = open_out (dir ^ "/" ^ name ^ ".z3z") in
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let ff = formatter_of_out_channel sigc in
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Compiler_utils.print_header_info ff "%" "%";
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fprintf ff "%s" sigali_head;
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let n = List.length states in
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(* declare dummy variables d1...dn *)
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fprintf ff "@[declare(@[<hov>d1";
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for i = 2 to n do
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fprintf ff ",@ d%d" i;
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done;
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fprintf ff "@]);@]@\n@\n";
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fprintf ff "@[<v>";
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(* dependencies *)
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fprintf ff "%% -- dependencies --- %%@\n@\n";
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List.iter
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(fun dep_name ->
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fprintf ff "read(\"%s.z3z\");@\n" dep_name)
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dep_list;
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(* head comment *)
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fprintf ff "%% ---------- process %s ---------- %%@\n@\n" name;
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(* variables declaration *)
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fprintf ff "declare(@[<hov>";
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print_list ff print_name "," (inputs@states);
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fprintf ff "@]);@,";
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(* inputs decl. *)
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fprintf ff "conditions : [@[";
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print_list ff print_name "," inputs;
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fprintf ff "@]];@,";
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(* states decl. *)
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fprintf ff "states : [@[";
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if states = [] then
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(* dummy state var to avoid sigali segfault *)
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fprintf ff "d1"
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else
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print_list ff print_name "," states;
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fprintf ff "@]];@,";
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(* controllables : *)
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fprintf ff "controllables : [@[";
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print_list ff print_name "," controllables;
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fprintf ff "@]];@,";
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(* init evolutions, initialisations *)
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if states = [] then
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fprintf ff "evolutions : [d1];@,"
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else
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fprintf ff "evolutions : [];@,";
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fprintf ff "initialisations : [];@,";
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(* body statements *)
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print_statements ff body;
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(* constraints *)
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fprintf ff "constraints : [@[";
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print_list ff print_exp "," constraints;
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fprintf ff "@]];@,";
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(* outputs : comment *)
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fprintf ff "@,%% --- outputs : [@[";
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print_list ff print_name "," outputs;
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fprintf ff "@]] --- %%@,";
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(* process declaration *)
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fprintf ff
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("%s : processus(" ^^
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"@[conditions," ^^
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"@ states," ^^
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"@ evolutions," ^^
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"@ initialisations," ^^
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"@ [gen(constraints)]," ^^
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"@ controllables@]);@,")
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name;
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begin
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match controllables with
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[] ->
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begin
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(* No controllable variables: verification *)
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(* Initialisation of verification result *)
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fprintf ff "verif_result : True;@,";
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(* Verification of properties (update verif_result) *)
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fprintf ff "@[<v>";
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print_list ff (print_verification name) "" objectives;
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fprintf ff "@]@,";
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(* Print result *)
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fprintf ff "if verif_result then@,";
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fprintf ff " print(\"%s: property true.\")@," name;
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fprintf ff "else@,";
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fprintf ff " print(\"%s: property false.\");@," name;
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end
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| _::_ ->
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begin
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(* At least one controllable variable: synthesis *)
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(* Store the initial state for further check *)
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fprintf ff "%s_init : initial(%s);@," name name;
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(* Controller synthesis *)
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fprintf ff "@[<v>";
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print_list ff (print_objective name) "" objectives;
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fprintf ff "@]@,";
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(* Check that synthesis succeeded : initial state not modified *)
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fprintf ff "dcs_result : equal(%s_init,initial(%s));@," name name;
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(* Print result *)
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fprintf ff "if dcs_result then@,";
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fprintf ff " print(\"%s: synthesis succeeded.\")@," name;
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fprintf ff "else@,";
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fprintf ff " print(\"%s: synthesis failed.\");@," name;
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fprintf ff "@\nif dcs_result then@,";
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(* Controller output *)
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(* fprintf ff " simul(%s,\"%s.res\",\"%s.sim\")@\n" name name name; *)
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fprintf ff " print(\"Triangulation and controller generation...\")@\n";
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fprintf ff "else@,";
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fprintf ff " quit(1);@,";
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(* Triangulation *)
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(* phantoms : *)
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let phantom_vars = List.map (fun n -> "p_" ^ n) controllables in
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(* phantom variables declaration *)
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fprintf ff "declare(@[<hov>";
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print_list ff print_name "," phantom_vars;
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fprintf ff "@]);@,";
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fprintf ff "phantom_vars : [@[";
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print_list ff print_name "," phantom_vars;
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fprintf ff "@]];@,";
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fprintf ff "%s_triang : Triang(constraint(%s),controllables,phantom_vars);@," name name;
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(* controller vars *)
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fprintf ff "controller_inputs : [@[";
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print_list ff print_name "," (uncont_inputs
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@states
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@(List.map
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(fun n -> "p_" ^ n)
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controllables));
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fprintf ff "@]];@,";
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(* Controller generation *)
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fprintf ff "heptagon_controller(\"%s_controller.ept\",\"%s\",controller_inputs,controllables,%s_triang);@," name name name;
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end
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end;
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(* Footer and close file *)
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fprintf ff "@]@.";
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fprintf ff "%s" sigali_foot;
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fprintf ff "@?";
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close_out sigc
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let print dir p_l =
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List.iter (print_processus dir) p_l
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end
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