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author | Alex Auvolat <alex.auvolat@ansys.com> | 2014-06-12 16:42:25 +0200 |
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committer | Alex Auvolat <alex.auvolat@ansys.com> | 2014-06-12 16:42:25 +0200 |
commit | 68fef7a9612cf42ba42d9ca1cc2423556f66b461 (patch) | |
tree | fe0941eaf32cab6f6f463c2a72b7c0013c409040 /interpret | |
parent | cfe9934537d0ddf1a98b32237c06ddf81aed45b1 (diff) | |
download | scade-analyzer-68fef7a9612cf42ba42d9ca1cc2423556f66b461.tar.gz scade-analyzer-68fef7a9612cf42ba42d9ca1cc2423556f66b461.zip |
Working prototype for an interpret ! But very messy.
Diffstat (limited to 'interpret')
-rw-r--r-- | interpret/data.ml | 61 | ||||
-rw-r--r-- | interpret/interpret.ml | 273 |
2 files changed, 334 insertions, 0 deletions
diff --git a/interpret/data.ml b/interpret/data.ml new file mode 100644 index 0000000..2721528 --- /dev/null +++ b/interpret/data.ml @@ -0,0 +1,61 @@ +(* Data structures for representing the state of a system *) + +open Util +open Ast + +exception Combinatorial_cycle of string +exception No_variable of string +exception Type_error of string +let type_error e = raise (Type_error e) +exception Not_implemented of string +let not_implemented e = raise (Not_implemented e) + +type scope = string + +type svalue = + | VInt of int + | VBool of bool + | VReal of float + | VState of id + | VPrevious of value + | VBusy (* intermediate value : calculating ! for detection of cycles *) +and value = svalue list + +type state = svalue VarMap.t + +(* functions for recursively getting variables *) + +type calc_fun = + | F of (state -> calc_map -> state) +and calc_map = calc_fun VarMap.t + +let get_var (st: state) (c: calc_map) (id: id) : (state * svalue) = + let st = + if VarMap.mem id st then st + else try match VarMap.find id c with + | F f -> + Format.printf "%s[ " id; + let r = f (VarMap.add id VBusy st) c in + Format.printf "]%s " id; + r + with Not_found -> raise (No_variable id) + in + match VarMap.find id st with + | VBusy -> raise (Combinatorial_cycle id) + | v -> st, v + +(* pretty-printing *) + +let rec str_of_value = function + | VInt i -> string_of_int i + | VReal r -> string_of_float r + | VBool b -> if b then "true" else "false" + | VState s -> "state " ^ s + | VPrevious p -> + "[" ^ + List.fold_left (fun s v -> (if s = "" then "" else s ^ ", ") ^ str_of_value v) "" p + ^ "]" + | VBusy -> "#" +let print_state st = + VarMap.iter (fun id v -> Format.printf "%s = %s@." id (str_of_value v)) st + diff --git a/interpret/interpret.ml b/interpret/interpret.ml new file mode 100644 index 0000000..4584fa4 --- /dev/null +++ b/interpret/interpret.ml @@ -0,0 +1,273 @@ +open Ast +open Data +open Util + +(* Utility : find declaration of a const / a node *) + +let find_const_decl p id = + match List.find (function + | AST_const_decl (c, _) when c.name = id -> true + | _ -> false) + p with + | AST_const_decl d -> d + | _ -> assert false + +let find_node_decl p id = + match List.find (function + | AST_node_decl (c, _) when c.name = id -> true + | _ -> false) + p with + | AST_node_decl d -> d + | _ -> assert false + +(* Expression evaluation *) + +(* + eval_expr : calc_map -> state -> string -> expr ext -> (state * value) +*) +let rec eval_expr c scope st exp = + let sub_eval = eval_expr c scope in + match fst exp with + | AST_identifier (id, _) -> + begin try let st, v = get_var st c (scope^"/"^id) in st, [v] + with No_variable _ -> let st, v = get_var st c ("cst/"^id) in st, [v] + end + (* on numerical values *) + | AST_int_const (i, _) -> st, [VInt (int_of_string i)] + | AST_real_const (r, _) -> st, [VReal (float_of_string r)] + | AST_unary(AST_UPLUS, e) -> sub_eval st e + | AST_unary(AST_UMINUS, e) -> + begin match sub_eval st e with + | st, [VInt x] -> st, [VInt (-x)] + | st, [VReal x] -> st, [VReal(-. x)] + | _ -> type_error "Unary on non-numerical." + end + | AST_binary(op, e1, e2) -> + let st, v1 = sub_eval st e1 in + let st, v2 = sub_eval st e2 in + let iop, fop = match op with + | AST_PLUS -> (+), (+.) + | AST_MINUS -> (-), (-.) + | AST_MUL -> ( * ), ( *. ) + | AST_DIV -> (/), (/.) + | AST_MOD -> (mod), mod_float + in + begin match v1, v2 with + | [VInt a], [VInt b] -> st, [VInt (iop a b)] + | [VReal a], [VReal b] -> st, [VReal(fop a b)] + | _ -> type_error "Invalid arguments for numerical binary." + end + (* on boolean values *) + | AST_bool_const b -> st, [VBool b] + | AST_binary_rel(op, e1, e2) -> + let st, v1 = sub_eval st e1 in + let st, v2 = sub_eval st e2 in + let r = match op with + | AST_EQ -> (=) | AST_NE -> (<>) + | AST_LT -> (<) | AST_LE -> (<=) + | AST_GT -> (>) | AST_GE -> (>=) + in + begin match v1, v2 with + | [VInt a], [VInt b] -> st, [VBool (r a b)] + | [VReal a], [VReal b] -> st, [VBool (r a b)] + | [VBool a], [VBool b] -> st, [VBool (r a b)] + | _ -> type_error "Invalid arguments for binary relation." + end + | AST_binary_bool(op, e1, e2) -> + let st, v1 = sub_eval st e1 in + let st, v2 = sub_eval st e2 in + let r = match op with + | AST_AND -> (&&) | AST_OR -> (||) + in + begin match v1, v2 with + | [VBool a], [VBool b] -> st, [VBool (r a b)] + | _ -> type_error "Invalid arguments for boolean relation." + end + | AST_not(e) -> + begin match sub_eval st e with + | st, [VBool b] -> st, [VBool (not b)] + | _ -> type_error "Invalid arguments for boolean negation." + end + (* temporal primitives *) + | AST_pre(exp, n) -> + begin try match VarMap.find (scope^"/"^n) st with + | VPrevious x -> st, x + | _ -> st, [] + with Not_found -> st, [] + end + | AST_arrow(before, after) -> + begin try match VarMap.find (scope^"/init") st with + | VBool true -> sub_eval st before + | VBool false -> sub_eval st after + | _ -> assert false + with Not_found -> assert false + end + (* other *) + | AST_if(cond, a, b) -> + let st, cv = sub_eval st cond in + begin match cv with + | [VBool true] -> sub_eval st a + | [VBool false] -> sub_eval st b + | _ -> type_error "Invalid condition in if." + end + | AST_instance((f, _), args, id) -> not_implemented "instance" + +(* Constant calculation *) + +let rec calc_const d st c = + match eval_expr c "cst" st d.value with + | st, [v] -> VarMap.add ("cst/"^d.name) v st + | _ -> type_error ("Cannot assign tuple to constant" ^ d.name) + +let program_consts p = + let cdecl = List.fold_left + (fun l d -> match d with + | AST_const_decl (d, _) -> d::l + | _ -> l) + [] p + in + let ccmap = List.fold_left + (fun c d -> VarMap.add ("cst/"^d.name) (F (calc_const d)) c) + VarMap.empty cdecl + in + List.fold_left + (fun st d -> let st, _ = get_var st ccmap ("cst/"^d.name) in st) + VarMap.empty + cdecl + +(* Program execution *) + +(* subscopes : + prog -> expr ext -> (id * eqs * (id * expr ext) list) list +*) +let rec subscopes p e = match fst e with + | AST_identifier _ | AST_int_const _ | AST_real_const _ | AST_bool_const _ -> [] + | AST_unary (_, e') | AST_pre (e', _) | AST_not e' -> subscopes p e' + | AST_binary(_, e1, e2) | AST_binary_rel (_, e1, e2) | AST_binary_bool (_, e1, e2) + | AST_arrow(e1, e2) -> + subscopes p e1 @ subscopes p e2 + | AST_if(e1, e2, e3) -> + subscopes p e1 @ subscopes p e2 @ subscopes p e3 + | AST_instance((f, _), args, id) -> + let more = List.flatten (List.map (subscopes p) args) in + let (node, _) = find_node_decl p f in + let args_x = List.map2 (fun id arg -> id, arg) node.args args in + (id, node.body, args_x)::more + +(* extract_pre : expr ext -> (id * expr ext) list *) +let rec extract_pre e = match fst e with + | AST_identifier _ | AST_int_const _ | AST_real_const _ | AST_bool_const _ -> [] + | AST_unary (_, e') | AST_not e' -> extract_pre e' + | AST_binary(_, e1, e2) | AST_binary_rel (_, e1, e2) | AST_binary_bool (_, e1, e2) + | AST_arrow(e1, e2) -> + extract_pre e1 @ extract_pre e2 + | AST_if(e1, e2, e3) -> + extract_pre e1 @ extract_pre e2 @ extract_pre e3 + | AST_instance((f, _), args, id) -> + List.flatten (List.map extract_pre args) + | AST_pre(e', n) -> + (n, e')::(extract_pre e') + + +(* build calc map *) +let rec build_prog_ccmap p scope eqs st = + let add_eq c eq = match fst eq with + | AST_assign(vars, e) -> + let calc st c = + let st, vals = eval_expr c scope st e in + List.fold_left2 + (fun st (id,_) v -> VarMap.add (scope^"/"^id) v st) + st vars vals + in + let c = List.fold_left (fun c (id, _) -> VarMap.add (scope^"/"^id) (F calc) c) c vars in + + let add_subscope c (ss_id, ss_eqs, ss_args) = + let c = VarMap.merge (fun _ a b -> match a, b with + | Some x, None -> Some x + | None, Some y -> Some y + | _ -> assert false) c + (build_prog_ccmap p (scope^"/"^ss_id) ss_eqs st) + in + let add_v c ((_, (id, _), _), eq) = + let calc st c = + let st, vals = eval_expr c scope st eq in + match vals with + | [v] -> VarMap.add (scope^"/"^ss_id^"/"^id) v st + | _ -> type_error "invalid arity" + in + VarMap.add (scope^"/"^ss_id^"/"^id) (F calc) c + in + List.fold_left add_v c ss_args + in + List.fold_left add_subscope c (subscopes p e) + | AST_assume _ | AST_guarantee _ -> c + | AST_automaton _ -> not_implemented "build_prog_ccmap for automaton" + in + List.fold_left add_eq VarMap.empty eqs + +let extract_next_state active p scope eqs st ccmap = + let csts = VarMap.filter + (fun k _ -> String.length k > 4 && String.sub k 0 4 = "cst/") + st + in + let rec aux active scope eqs st nst = + let r = VarMap.add (scope^"/init") + (if active then VBool false + else try VarMap.find (scope^"/init") st with Not_found -> assert false) + nst + in + let add_subscopes active = + List.fold_left (fun (st, nst) (ss_id, ss_eqs, _) -> + aux active (scope^"/"^ss_id) ss_eqs st nst) + in + let add_eq (st, nst) eq = match fst eq with + | AST_assign(vars, e) -> + let st, nst = add_subscopes active (st, nst) (subscopes p e) in + List.fold_left (fun (st, nst) (pn, pe) -> + let st, v = if active then eval_expr ccmap scope st pe + else st, + try match VarMap.find (scope^"/"^pn) st with VPrevious x -> x | _ -> [] + with Not_found -> [] + in + st, VarMap.add (scope^"/"^pn) (VPrevious v) nst) + (st, nst) (extract_pre e) + | AST_assume _ | AST_guarantee _ -> st, nst + | AST_automaton _ -> not_implemented "extract_next_state automaton" + in + List.fold_left add_eq (st, r) eqs + in aux active scope eqs st csts + +let program_init_state p root_node = + let (n, _) = find_node_decl p root_node in + let rec prog_init_state_aux st p scope eqs = + let st = VarMap.add (scope^"/init") (VBool true) st in + let add_subscopes = + List.fold_left (fun st (ss_id, ss_eqs, _) -> prog_init_state_aux st p (scope^"/"^ss_id) ss_eqs) + in + List.fold_left (fun st eq -> match fst eq with + | AST_assign(_, e) -> add_subscopes st (subscopes p e) + | AST_assume _ | AST_guarantee _ -> st + | AST_automaton _ -> not_implemented "prog_init_state_aux automaton") + st eqs + in + prog_init_state_aux (program_consts p) p "" n.body + + +let program_step p st inputs root_node = + let (n, _) = find_node_decl p root_node in + let st = List.fold_left + (fun st (n, v) -> VarMap.add ("/"^n) v st) st inputs in + + let ccmap = build_prog_ccmap p "" n.body st in + + let st = List.fold_left + (fun st (_, (id, _), _) -> let st, _ = get_var st ccmap ("/"^id) in st) + st n.ret in + let outputs = List.map + (fun (_, (id, _), _) -> let _, v = get_var st ccmap ("/"^id) in (id, v)) + n.ret in + let st, next_st = extract_next_state true p "" n.body st ccmap in + + st, outputs, next_st + + |