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(*
* Copyright (c) 2016 - present
*
* Programming Research Laboratory (ROPAS)
* Seoul National University, Korea
* All rights reserved.
*
* This source code is licensed under the BSD style license found in the
* LICENSE file in the root directory of this source tree. An additional grant
* of patent rights can be found in the PATENTS file in the same directory.
*)
open! IStd
open AbsLoc
module F = Format
module L = Logging
module Domain = BufferOverrunDomain
open Domain
module Make (CFG : ProcCfg.S) =
struct
exception Not_implemented
let eval_const : Const.t -> Val.t
= function
| Const.Cint intlit -> (try Val.of_int (IntLit.to_int intlit) with _ -> Val.top_itv)
| Const.Cfloat f -> f |> int_of_float |> Val.of_int
| _ -> Val.top_itv (* TODO *)
let sizeof_ikind : Typ.ikind -> int
= function
| Typ.IChar | Typ.ISChar | Typ.IUChar | Typ.IBool -> 1
| Typ.IInt | Typ.IUInt -> 4
| Typ.IShort | Typ.IUShort -> 2
| Typ.ILong | Typ.IULong -> 4
| Typ.ILongLong | Typ.IULongLong -> 8
| Typ.I128 | Typ.IU128 -> 16
let sizeof_fkind : Typ.fkind -> int
= function
| Typ.FFloat -> 4
| Typ.FDouble | Typ.FLongDouble -> 8
(* NOTE: assume 32bit machine *)
let rec sizeof (typ : Typ.t) : int =
match typ.desc with
| Typ.Tint ikind -> sizeof_ikind ikind
| Typ.Tfloat fkind -> sizeof_fkind fkind
| Typ.Tvoid -> 1
| Typ.Tptr (_, _) -> 4
| Typ.Tstruct _ -> 4 (* TODO *)
| Typ.Tarray (typ, Some ilit) -> sizeof typ * IntLit.to_int ilit
| _ -> 4
let rec must_alias : Exp.t -> Exp.t -> Mem.astate -> bool
= fun e1 e2 m ->
match e1, e2 with
| Exp.Var x1, Exp.Var x2 ->
(match Mem.find_alias x1 m, Mem.find_alias x2 m with
| Some x1', Some x2' -> Pvar.equal x1' x2'
| _, _ -> false)
| Exp.UnOp (uop1, e1', _), Exp.UnOp (uop2, e2', _) ->
Unop.equal uop1 uop2 && must_alias e1' e2' m
| Exp.BinOp (bop1, e11, e12), Exp.BinOp (bop2, e21, e22) ->
Binop.equal bop1 bop2
&& must_alias e11 e21 m
&& must_alias e12 e22 m
| Exp.Exn t1, Exp.Exn t2 -> must_alias t1 t2 m
| Exp.Const c1, Exp.Const c2 -> Const.equal c1 c2
| Exp.Cast (t1, e1'), Exp.Cast (t2, e2') ->
Typ.equal t1 t2 && must_alias e1' e2' m
| Exp.Lvar x1, Exp.Lvar x2 ->
Pvar.equal x1 x2
| Exp.Lfield (e1, fld1, _), Exp.Lfield (e2, fld2, _) ->
must_alias e1 e2 m && Fieldname.equal fld1 fld2
| Exp.Lindex (e11, e12), Exp.Lindex (e21, e22) ->
must_alias e11 e21 m && must_alias e12 e22 m
| Exp.Sizeof (t1, dynlen1, subt1), Exp.Sizeof (t2, dynlen2, subt2) ->
Typ.equal t1 t2
&& must_alias_opt dynlen1 dynlen2 m
&& Int.equal (Subtype.compare subt1 subt2) 0
| _, _ -> false
and must_alias_opt : Exp.dynamic_length -> Exp.dynamic_length -> Mem.astate -> bool
= fun dynlen1 dynlen2 m ->
match dynlen1, dynlen2 with
| Some e1, Some e2 -> must_alias e1 e2 m
| None, None -> true
| _, _ -> false
let comp_rev : Binop.t -> Binop.t
= function
| Binop.Lt -> Binop.Gt
| Binop.Gt -> Binop.Lt
| Binop.Le -> Binop.Ge
| Binop.Ge -> Binop.Le
| Binop.Eq -> Binop.Eq
| Binop.Ne -> Binop.Ne
| _ -> assert (false)
let comp_not : Binop.t -> Binop.t
= function
| Binop.Lt -> Binop.Ge
| Binop.Gt -> Binop.Le
| Binop.Le -> Binop.Gt
| Binop.Ge -> Binop.Lt
| Binop.Eq -> Binop.Ne
| Binop.Ne -> Binop.Eq
| _ -> assert (false)
let rec must_alias_cmp : Exp.t -> Mem.astate -> bool
= fun e m ->
match e with
| Exp.BinOp (Binop.Lt, e1, e2)
| Exp.BinOp (Binop.Gt, e1, e2)
| Exp.BinOp (Binop.Ne, e1, e2) -> must_alias e1 e2 m
| Exp.BinOp (Binop.LAnd, e1, e2) ->
must_alias_cmp e1 m || must_alias_cmp e2 m
| Exp.BinOp (Binop.LOr, e1, e2) ->
must_alias_cmp e1 m && must_alias_cmp e2 m
| Exp.UnOp (Unop.LNot, Exp.UnOp (Unop.LNot, e1, _), _) ->
must_alias_cmp e1 m
| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Lt as c, e1, e2), _)
| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Gt as c, e1, e2), _)
| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Le as c, e1, e2), _)
| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Ge as c, e1, e2), _)
| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Eq as c, e1, e2), _)
| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Ne as c, e1, e2), _) ->
must_alias_cmp (Exp.BinOp (comp_not c, e1, e2)) m
| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.LOr, e1, e2), t) ->
let e1' = Exp.UnOp (Unop.LNot, e1, t) in
let e2' = Exp.UnOp (Unop.LNot, e2, t) in
must_alias_cmp (Exp.BinOp (Binop.LAnd, e1', e2')) m
| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.LAnd, e1, e2), t) ->
let e1' = Exp.UnOp (Unop.LNot, e1, t) in
let e2' = Exp.UnOp (Unop.LNot, e2, t) in
must_alias_cmp (Exp.BinOp (Binop.LOr, e1', e2')) m
| _ -> false
let rec eval : Exp.t -> Mem.astate -> Location.t -> Val.t
= fun exp mem loc ->
if must_alias_cmp exp mem then Val.of_int 0 else
match exp with
| Exp.Var id -> Mem.find_stack (Var.of_id id |> Loc.of_var) mem
| Exp.Lvar pvar ->
let ploc = pvar |> Loc.of_pvar |> PowLoc.singleton in
let arr = Mem.find_stack_set ploc mem in
ploc |> Val.of_pow_loc |> Val.join arr
| Exp.UnOp (uop, e, _) -> eval_unop uop e mem loc
| Exp.BinOp (bop, e1, e2) -> eval_binop bop e1 e2 mem loc
| Exp.Const c -> eval_const c
| Exp.Cast (_, e) -> eval e mem loc
| Exp.Lfield (e, fn, _) ->
eval e mem loc
|> Val.get_all_locs
|> Fn.flip PowLoc.append_field fn
|> Val.of_pow_loc
| Exp.Lindex (e1, _) ->
let arr = eval e1 mem loc in (* must have array blk *)
(* let idx = eval e2 mem loc in *)
let ploc = arr |> Val.get_array_blk |> ArrayBlk.get_pow_loc in
(* if nested array, add the array blk *)
let arr = Mem.find_heap_set ploc mem in
Val.join (Val.of_pow_loc ploc) arr
| Exp.Sizeof (typ, _, _) -> Val.of_int (sizeof typ)
| Exp.Exn _
| Exp.Closure _ -> Val.top_itv
and eval_unop : Unop.t -> Exp.t -> Mem.astate -> Location.t -> Val.t
= fun unop e mem loc ->
let v = eval e mem loc in
match unop with
| Unop.Neg -> Val.neg v
| Unop.BNot -> Val.unknown_bit v
| Unop.LNot -> Val.lnot v
and eval_binop
: Binop.t -> Exp.t -> Exp.t -> Mem.astate -> Location.t -> Val.t
= fun binop e1 e2 mem loc ->
let v1 = eval e1 mem loc in
let v2 = eval e2 mem loc in
match binop with
| Binop.PlusA ->
Val.join (Val.plus v1 v2) (Val.plus_pi v1 v2)
| Binop.PlusPI -> Val.plus_pi v1 v2
| Binop.MinusA ->
Val.joins
[ Val.minus v1 v2
; Val.minus_pi v1 v2
; Val.minus_pp v1 v2 ]
| Binop.MinusPI -> Val.minus_pi v1 v2
| Binop.MinusPP -> Val.minus_pp v1 v2
| Binop.Mult -> Val.mult v1 v2
| Binop.Div -> Val.div v1 v2
| Binop.Mod -> Val.mod_sem v1 v2
| Binop.Shiftlt -> Val.shiftlt v1 v2
| Binop.Shiftrt -> Val.shiftrt v1 v2
| Binop.Lt -> Val.lt_sem v1 v2
| Binop.Gt -> Val.gt_sem v1 v2
| Binop.Le -> Val.le_sem v1 v2
| Binop.Ge -> Val.ge_sem v1 v2
| Binop.Eq -> Val.eq_sem v1 v2
| Binop.Ne -> Val.ne_sem v1 v2
| Binop.BAnd
| Binop.BXor
| Binop.BOr -> Val.unknown_bit v1
| Binop.LAnd -> Val.land_sem v1 v2
| Binop.LOr -> Val.lor_sem v1 v2
| Binop.PtrFld -> raise Not_implemented
let get_allocsite : Typ.Procname.t -> CFG.node -> int -> int -> string
= fun proc_name node inst_num dimension ->
let proc_name = Typ.Procname.to_string proc_name in
let node_num = CFG.hash node |> string_of_int in
let inst_num = string_of_int inst_num in
let dimension = string_of_int dimension in
(proc_name ^ "-" ^ node_num ^ "-" ^ inst_num ^ "-" ^ dimension)
|> Allocsite.make
let eval_array_alloc
: Typ.Procname.t -> CFG.node -> Typ.t -> Itv.t -> Itv.t -> int -> int -> Val.t
= fun pdesc node typ offset size inst_num dimension ->
let allocsite = get_allocsite pdesc node inst_num dimension in
let stride = sizeof typ |> Itv.of_int in
ArrayBlk.make allocsite offset size stride
|> Val.of_array_blk
let prune_unop : Exp.t -> Mem.astate -> Mem.astate
= fun e mem ->
match e with
| Exp.Var x ->
(match Mem.find_alias x mem with
| Some x' ->
let lv = Loc.of_pvar x' in
let v = Mem.find_heap lv mem in
let v' = Val.prune_zero v in
Mem.update_mem (PowLoc.singleton lv) v' mem
| None -> mem)
| Exp.UnOp (Unop.LNot, Exp.Var x, _) ->
(match Mem.find_alias x mem with
| Some x' ->
let lv = Loc.of_pvar x' in
let v = Mem.find_heap lv mem in
let itv_v =
if Itv.is_bot (Val.get_itv v) then Itv.bot else
Val.get_itv Val.zero
in
let v' = Val.modify_itv itv_v v in
Mem.update_mem (PowLoc.singleton lv) v' mem
| None -> mem)
| _ -> mem
let prune_binop_left : Exp.t -> Location.t -> Mem.astate -> Mem.astate
= fun e loc mem ->
match e with
| Exp.BinOp (Binop.Lt as comp, Exp.Var x, e')
| Exp.BinOp (Binop.Gt as comp, Exp.Var x, e')
| Exp.BinOp (Binop.Le as comp, Exp.Var x, e')
| Exp.BinOp (Binop.Ge as comp, Exp.Var x, e') ->
(match Mem.find_alias x mem with
| Some x' ->
let lv = Loc.of_pvar x' in
let v = Mem.find_heap lv mem in
let v' = Val.prune_comp comp v (eval e' mem loc) in
Mem.update_mem (PowLoc.singleton lv) v' mem
| None -> mem)
| Exp.BinOp (Binop.Eq, Exp.Var x, e') ->
(match Mem.find_alias x mem with
| Some x' ->
let lv = Loc.of_pvar x' in
let v = Mem.find_heap lv mem in
let v' = Val.prune_eq v (eval e' mem loc) in
Mem.update_mem (PowLoc.singleton lv) v' mem
| None -> mem)
| Exp.BinOp (Binop.Ne, Exp.Var x, e') ->
(match Mem.find_alias x mem with
| Some x' ->
let lv = Loc.of_pvar x' in
let v = Mem.find_heap lv mem in
let v' = Val.prune_ne v (eval e' mem loc) in
Mem.update_mem (PowLoc.singleton lv) v' mem
| None -> mem)
| _ -> mem
let prune_binop_right : Exp.t -> Location.t -> Mem.astate -> Mem.astate
= fun e loc mem ->
match e with
| Exp.BinOp (Binop.Lt as c, e', Exp.Var x)
| Exp.BinOp (Binop.Gt as c, e', Exp.Var x)
| Exp.BinOp (Binop.Le as c, e', Exp.Var x)
| Exp.BinOp (Binop.Ge as c, e', Exp.Var x)
| Exp.BinOp (Binop.Eq as c, e', Exp.Var x)
| Exp.BinOp (Binop.Ne as c, e', Exp.Var x) ->
prune_binop_left (Exp.BinOp (comp_rev c, Exp.Var x, e')) loc mem
| _ -> mem
let is_unreachable_constant : Exp.t -> Location.t -> Mem.astate -> bool
= fun e loc m ->
Val.(<=) ~lhs:(eval e m loc) ~rhs:(Val.of_int 0)
let prune_unreachable : Exp.t -> Location.t -> Mem.astate -> Mem.astate
= fun e loc mem ->
if is_unreachable_constant e loc mem then Mem.bot else mem
let rec prune : Exp.t -> Location.t -> Mem.astate -> Mem.astate
= fun e loc mem ->
let mem =
mem
|> prune_unreachable e loc
|> prune_unop e
|> prune_binop_left e loc
|> prune_binop_right e loc
in
match e with
| Exp.BinOp (Binop.Ne, e, Exp.Const (Const.Cint i)) when IntLit.iszero i ->
prune e loc mem
| Exp.BinOp (Binop.Eq, e, Exp.Const (Const.Cint i)) when IntLit.iszero i ->
prune (Exp.UnOp (Unop.LNot, e, None)) loc mem
| Exp.UnOp (Unop.Neg, Exp.Var x, _) -> prune (Exp.Var x) loc mem
| Exp.BinOp (Binop.LAnd, e1, e2) ->
mem |> prune e1 loc |> prune e2 loc
| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.LOr, e1, e2), t) ->
mem
|> prune (Exp.UnOp (Unop.LNot, e1, t)) loc
|> prune (Exp.UnOp (Unop.LNot, e2, t)) loc
| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Lt as c, e1, e2), _)
| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Gt as c, e1, e2), _)
| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Le as c, e1, e2), _)
| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Ge as c, e1, e2), _)
| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Eq as c, e1, e2), _)
| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Ne as c, e1, e2), _) ->
prune (Exp.BinOp (comp_not c, e1, e2)) loc mem
| _ -> mem
let get_formals : Procdesc.t -> (Pvar.t * Typ.t) list
= fun pdesc ->
let proc_name = Procdesc.get_proc_name pdesc in
Procdesc.get_formals pdesc
|> List.map ~f:(fun (name, typ) -> (Pvar.mk name proc_name, typ))
let get_matching_pairs
: Tenv.t -> Val.t -> Val.t -> Typ.t -> Mem.astate -> Mem.astate
-> (Itv.Bound.t * Itv.Bound.t) list
= fun tenv formal actual typ caller_mem callee_mem ->
let get_itv v = Val.get_itv v in
let get_offset v = v |> Val.get_array_blk |> ArrayBlk.offsetof in
let get_size v = v |> Val.get_array_blk |> ArrayBlk.sizeof in
let get_field_name (fn, _, _) = fn in
let deref_field v fn mem =
Mem.find_heap_set (PowLoc.append_field (Val.get_all_locs v) fn) mem
in
let deref_ptr v mem = Mem.find_heap_set (Val.get_all_locs v) mem in
let add_pair_itv itv1 itv2 l =
let open Itv in
if itv1 <> bot && itv2 <> bot then
(lb itv1, lb itv2) :: (ub itv1, ub itv2) :: l
else if itv1 <> bot && Itv.eq itv2 bot then
(lb itv1, Bound.Bot) :: (ub itv1, Bound.Bot) :: l
else
l
in
let add_pair_val v1 v2 pairs =
pairs
|> add_pair_itv (get_itv v1) (get_itv v2)
|> add_pair_itv (get_offset v1) (get_offset v2)
|> add_pair_itv (get_size v1) (get_size v2)
in
let add_pair_field v1 v2 pairs fn =
let v1' = deref_field v1 fn callee_mem in
let v2' = deref_field v2 fn caller_mem in
add_pair_val v1' v2' pairs
in
let add_pair_ptr typ v1 v2 pairs =
match typ.Typ.desc with
| Typ.Tptr ({desc=Tstruct typename}, _) ->
(match Tenv.lookup tenv typename with
| Some str ->
let fns = List.map ~f:get_field_name str.Typ.Struct.fields in
List.fold ~f:(add_pair_field v1 v2) ~init:pairs fns
| _ -> pairs)
| Typ.Tptr (_ ,_) ->
let v1' = deref_ptr v1 callee_mem in
let v2' = deref_ptr v2 caller_mem in
add_pair_val v1' v2' pairs
| _ -> pairs
in
[] |> add_pair_val formal actual |> add_pair_ptr typ formal actual
let subst_map_of_pairs
: (Itv.Bound.t * Itv.Bound.t) list -> Itv.Bound.t Itv.SubstMap.t
= fun pairs ->
let add_pair map (formal, actual) =
match formal with
| Itv.Bound.Linear (0, se1) when Itv.SymLinear.cardinal se1 > 0 ->
let (symbol, coeff) = Itv.SymLinear.choose se1 in
if Int.equal coeff 1
then Itv.SubstMap.add symbol actual map
else assert false
| _ -> assert false
in
List.fold ~f:add_pair ~init:Itv.SubstMap.empty pairs
let rec list_fold2_def
: default:Val.t -> f:('a -> Val.t -> 'b -> 'b) -> 'a list -> Val.t list -> init:'b -> 'b
= fun ~default ~f xs ys ~init:acc ->
match xs, ys with
| [], _ -> acc
| x :: xs', [] -> list_fold2_def ~default ~f xs' ys ~init:(f x default acc)
| [x], _ :: _ -> f x (List.fold ~f:Val.join ~init:Val.bot ys) acc
| x :: xs', y :: ys' -> list_fold2_def ~default ~f xs' ys' ~init:(f x y acc)
let get_subst_map
: Tenv.t -> Procdesc.t -> (Exp.t * 'a) list -> Mem.astate -> Mem.astate
-> Location.t -> Itv.Bound.t Itv.SubstMap.t
= fun tenv callee_pdesc params caller_mem callee_entry_mem loc ->
let add_pair (formal, typ) actual l =
let formal = Mem.find_heap (Loc.of_pvar formal) callee_entry_mem in
let new_matching =
get_matching_pairs tenv formal actual typ caller_mem callee_entry_mem
in
List.rev_append new_matching l
in
let formals = get_formals callee_pdesc in
let actuals = List.map ~f:(fun (a, _) -> eval a caller_mem loc) params in
list_fold2_def ~default:Val.top_itv ~f:add_pair formals actuals ~init:[]
|> subst_map_of_pairs
end