(* * Copyright (c) 2009-2013, Monoidics ltd. * Copyright (c) Facebook, Inc. and its affiliates. * * This source code is licensed under the MIT license found in the * LICENSE file in the root directory of this source tree. *) (** The Smallfoot Intermediate Language: Expressions *) open! IStd module Hashtbl = Caml.Hashtbl module F = Format (* reverse the natural order on Var *) type ident_ = Ident.t let compare_ident_ x y = Ident.compare y x type closure = {name: Typ.Procname.t; captured_vars: (t * Pvar.t * Typ.t) list} (** This records information about a [sizeof(typ)] expression. [nbytes] represents the result of the evaluation of [sizeof(typ)] if it is statically known. If [typ] is of the form [Tarray elt (Some static_length)], then [dynamic_length] is the number of elements of type [elt] in the array. The [dynamic_length], tracked by symbolic execution, may differ from the [static_length] obtained from the type definition, e.g. when an array is over-allocated. If [typ] is a struct type, the [dynamic_length] is that of the final extensible array, if any.*) and sizeof_data = {typ: Typ.t; nbytes: int option; dynamic_length: t option; subtype: Subtype.t} (** Program expressions. *) and t = | Var of ident_ (** Pure variable: it is not an lvalue *) | UnOp of Unop.t * t * Typ.t option (** Unary operator with type of the result if known *) | BinOp of Binop.t * t * t (** Binary operator *) | Exn of t (** Exception *) | Closure of closure (** Anonymous function *) | Const of Const.t (** Constants *) | Cast of Typ.t * t (** Type cast *) | Lvar of Pvar.t (** The address of a program variable *) | Lfield of t * Typ.Fieldname.t * Typ.t (** A field offset, the type is the surrounding struct type *) | Lindex of t * t (** An array index offset: [exp1\[exp2\]] *) | Sizeof of sizeof_data [@@deriving compare] let equal = [%compare.equal: t] let hash = Hashtbl.hash module Set = Caml.Set.Make (struct type nonrec t = t let compare = compare end) module Map = Caml.Map.Make (struct type nonrec t = t let compare = compare end) module Hash = Hashtbl.Make (struct type nonrec t = t let equal = equal let hash = hash end) let is_null_literal = function Const (Cint n) -> IntLit.isnull n | _ -> false let is_this = function Lvar pvar -> Pvar.is_this pvar | _ -> false let is_zero = function Const (Cint n) -> IntLit.iszero n | _ -> false (** {2 Utility Functions for Expressions} *) (** Turn an expression representing a type into the type it represents If not a sizeof, return the default type if given, otherwise raise an exception *) let texp_to_typ default_opt = function | Sizeof {typ} -> typ | _ -> Typ.unsome "texp_to_typ" default_opt (** Return the root of [lexp]. *) let rec root_of_lexp lexp = match (lexp : t) with | Var _ -> lexp | Const _ -> lexp | Cast (_, e) -> root_of_lexp e | UnOp _ | BinOp _ | Exn _ | Closure _ -> lexp | Lvar _ -> lexp | Lfield (e, _, _) -> root_of_lexp e | Lindex (e, _) -> root_of_lexp e | Sizeof _ -> lexp (** Checks whether an expression denotes a location by pointer arithmetic. Currently, catches array-indexing expressions such as a[i] only. *) let rec pointer_arith = function | Lfield (e, _, _) -> pointer_arith e | Lindex _ -> true | _ -> false let get_undefined footprint = Var (Ident.create_fresh (if footprint then Ident.kfootprint else Ident.kprimed)) (** returns true if the express operates on address of local variable *) let rec has_local_addr e = match (e : t) with | Lvar pv -> Pvar.is_local pv | UnOp (_, e', _) | Cast (_, e') | Lfield (e', _, _) -> has_local_addr e' | BinOp (_, e0, e1) | Lindex (e0, e1) -> has_local_addr e0 || has_local_addr e1 | _ -> false (** Create integer constant *) let int i = Const (Cint i) (** Create float constant *) let float v = Const (Cfloat v) (** Integer constant 0 *) let zero = int IntLit.zero (** Null constant *) let null = int IntLit.null (** Integer constant 1 *) let one = int IntLit.one (** Integer constant -1 *) let minus_one = int IntLit.minus_one (** Create integer constant corresponding to the boolean value *) let bool b = if b then one else zero let and_2ary e1 e2 = BinOp (LAnd, e1, e2) (** Create expression [e1 == e2] *) let eq e1 e2 = BinOp (Eq, e1, e2) (** Create expression [e1 != e2] *) let ne e1 e2 = BinOp (Ne, e1, e2) (** Create expression [e1 <= e2] *) let le e1 e2 = BinOp (Le, e1, e2) (** Create expression [e1 < e2] *) let lt e1 e2 = BinOp (Lt, e1, e2) let nary_of_2ary op_2ary zero es = match es with [] -> zero | e :: es -> List.fold ~init:e ~f:op_2ary es let and_nary = nary_of_2ary and_2ary one let fold_captured ~f exp acc = let rec fold_captured_ exp captured_acc = match exp with | Cast (_, e) | UnOp (_, e, _) | Lfield (e, _, _) | Exn e | Sizeof {dynamic_length= Some e} -> fold_captured_ e captured_acc | BinOp (_, e1, e2) | Lindex (e1, e2) -> fold_captured_ e1 captured_acc |> fold_captured_ e2 | Closure {captured_vars} -> List.fold captured_vars ~f:(fun acc (captured_exp, _, _) -> f acc captured_exp) ~init:captured_acc | Const _ | Lvar _ | Var _ | Sizeof _ -> captured_acc in fold_captured_ exp acc (** Pretty print an expression. *) let rec pp_ pe pp_t f e = let pp_exp = pp_ pe pp_t in let print_binop_stm_output e1 op e2 = match (op : Binop.t) with | Eq | Ne | PlusA _ | Mult _ -> F.fprintf f "(%a %s %a)" pp_exp e2 (Binop.str pe op) pp_exp e1 | Lt -> F.fprintf f "(%a %s %a)" pp_exp e2 (Binop.str pe Gt) pp_exp e1 | Gt -> F.fprintf f "(%a %s %a)" pp_exp e2 (Binop.str pe Lt) pp_exp e1 | Le -> F.fprintf f "(%a %s %a)" pp_exp e2 (Binop.str pe Ge) pp_exp e1 | Ge -> F.fprintf f "(%a %s %a)" pp_exp e2 (Binop.str pe Le) pp_exp e1 | _ -> F.fprintf f "(%a %s %a)" pp_exp e1 (Binop.str pe op) pp_exp e2 in match (e : t) with | Var id -> Ident.pp f id | Const c -> (Const.pp pe) f c | Cast (typ, e) -> F.fprintf f "(%a)%a" pp_t typ pp_exp e | UnOp (op, e, _) -> F.fprintf f "%s%a" (Unop.to_string op) pp_exp e | BinOp (op, Const c, e2) when Config.smt_output -> print_binop_stm_output (Const c) op e2 | BinOp (op, e1, e2) -> F.fprintf f "(%a %s %a)" pp_exp e1 (Binop.str pe op) pp_exp e2 | Exn e -> F.fprintf f "EXN %a" pp_exp e | Closure {name; captured_vars} -> if List.is_empty captured_vars then F.fprintf f "(%a)" pp_exp (Const (Cfun name)) else F.fprintf f "(%a,%a)" pp_exp (Const (Cfun name)) (Pp.comma_seq (pp_captured_var pe pp_t)) captured_vars | Lvar pv -> Pvar.pp pe f pv | Lfield (e, fld, _) -> F.fprintf f "%a.%a" pp_exp e Typ.Fieldname.pp fld | Lindex (e1, e2) -> F.fprintf f "%a[%a]" pp_exp e1 pp_exp e2 | Sizeof {typ; nbytes; dynamic_length; subtype} -> let pp_len f l = Option.iter ~f:(F.fprintf f "[%a]" pp_exp) l in let pp_size f size = Option.iter ~f:(Int.pp f) size in let pp_if b pp label f v = if b then F.fprintf f ";%s=%a" label pp v in let pp_if_some pp_opt label f opt = pp_if (Option.is_some opt) pp_opt label f opt in let subt_s = F.asprintf "%a" Subtype.pp subtype in F.fprintf f "sizeof(t=%a%a%a%a)" pp_t typ (pp_if_some pp_size "nbytes") nbytes (pp_if_some pp_len "len") dynamic_length (pp_if (not (String.equal "" subt_s)) Subtype.pp "sub_t") subtype and pp_captured_var pe pp_t f (exp, var, typ) = match exp with | Lvar evar when Pvar.equal var evar -> (Pvar.pp pe) f var | _ -> F.fprintf f "(%a %a:%a)" (pp_ pe pp_t) exp (Pvar.pp pe) var (Typ.pp pe) typ let pp_printenv ~print_types pe f e = let pp_typ = if print_types then Typ.pp_full else Typ.pp in pp_ pe (pp_typ pe) f e let pp f e = pp_printenv ~print_types:false Pp.text f e let to_string e = F.asprintf "%a" pp e let is_objc_block_closure = function | Closure {name} -> Typ.Procname.is_objc_block name | _ -> false let rec gen_free_vars = let open Sequence.Generator in function | Var id -> yield id | Cast (_, e) | Exn e | Lfield (e, _, _) | Sizeof {dynamic_length= Some e} | UnOp (_, e, _) -> gen_free_vars e | Closure {captured_vars} -> ISequence.gen_sequence_list captured_vars ~f:(fun (e, _, _) -> gen_free_vars e) | Const (Cint _ | Cfun _ | Cstr _ | Cfloat _ | Cclass _) | Lvar _ | Sizeof {dynamic_length= None} -> return () | BinOp (_, e1, e2) | Lindex (e1, e2) -> gen_free_vars e1 >>= fun () -> gen_free_vars e2 let free_vars e = Sequence.Generator.run (gen_free_vars e) let ident_mem e id = free_vars e |> Sequence.exists ~f:(Ident.equal id) let rec gen_program_vars = let open Sequence.Generator in function | Lvar name -> yield name | Const _ | Var _ | Sizeof {dynamic_length= None} -> return () | Cast (_, e) | Exn e | Lfield (e, _, _) | Sizeof {dynamic_length= Some e} | UnOp (_, e, _) -> gen_program_vars e | BinOp (_, e1, e2) | Lindex (e1, e2) -> gen_program_vars e1 >>= fun () -> gen_program_vars e2 | Closure {captured_vars} -> ISequence.gen_sequence_list captured_vars ~f:(fun (e, _, _) -> gen_program_vars e) let program_vars e = Sequence.Generator.run (gen_program_vars e) let rec rename_pvars ~(f : string -> string) : t -> t = let re e = rename_pvars ~f e in let rv v = Pvar.rename ~f v in function | UnOp (op, e, t) -> UnOp (op, re e, t) | BinOp (op, e1, e2) -> BinOp (op, re e1, re e2) | Exn e -> Exn (re e) | Closure {name; captured_vars} -> let captured_vars = List.map ~f:(function e, v, t -> (re e, rv v, t)) captured_vars in Closure {name; captured_vars} | Cast (t, e) -> Cast (t, re e) | Lvar v -> Lvar (rv v) | Lfield (e, fld, t) -> Lfield (re e, fld, t) | Lindex (e1, e2) -> Lindex (re e1, re e2) | Sizeof {typ; nbytes; dynamic_length; subtype} -> let dynamic_length = Option.map ~f:re dynamic_length in Sizeof {typ; nbytes; dynamic_length; subtype} | e (* Should have only cases without subexpressions. *) -> e let zero_of_type typ = match typ.Typ.desc with | Typ.Tint _ -> Some (Const (Cint IntLit.zero)) | Typ.Tfloat _ -> Some (Const (Cfloat 0.0)) | Typ.Tptr _ -> Some (Const (Cint IntLit.null)) | _ -> None let zero_of_type_exn typ = Option.value_exn (zero_of_type typ) let rec ignore_cast e = match e with Cast (_, e) -> ignore_cast e | _ -> e let rec ignore_integer_cast e = match e with Cast (t, e) when Typ.is_int t -> ignore_integer_cast e | _ -> e