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(*
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* Copyright (c) 2016 - present
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*
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* Programming Research Laboratory (ROPAS)
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* Seoul National University, Korea
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* All rights reserved.
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*
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* This source code is licensed under the BSD style license found in the
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* LICENSE file in the root directory of this source tree. An additional grant
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* of patent rights can be found in the PATENTS file in the same directory.
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*)
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open! IStd
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open AbsLoc
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module F = Format
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module L = Logging
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module Domain = BufferOverrunDomain
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open Domain
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module Make (CFG : ProcCfg.S) =
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struct
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exception Not_implemented
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let eval_const : Const.t -> Val.t
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= function
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| Const.Cint intlit -> (try Val.of_int (IntLit.to_int intlit) with _ -> Val.top_itv)
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| Const.Cfloat f -> f |> int_of_float |> Val.of_int
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| _ -> Val.top_itv (* TODO *)
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let sizeof_ikind : Typ.ikind -> int
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= function
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| Typ.IChar | Typ.ISChar | Typ.IUChar | Typ.IBool -> 1
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| Typ.IInt | Typ.IUInt -> 4
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| Typ.IShort | Typ.IUShort -> 2
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| Typ.ILong | Typ.IULong -> 4
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| Typ.ILongLong | Typ.IULongLong -> 8
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| Typ.I128 | Typ.IU128 -> 16
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let sizeof_fkind : Typ.fkind -> int
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= function
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| Typ.FFloat -> 4
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| Typ.FDouble | Typ.FLongDouble -> 8
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(* NOTE: assume 32bit machine *)
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let rec sizeof (typ : Typ.t) : int =
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match typ.desc with
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| Typ.Tint ikind -> sizeof_ikind ikind
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| Typ.Tfloat fkind -> sizeof_fkind fkind
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| Typ.Tvoid -> 1
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| Typ.Tptr (_, _) -> 4
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| Typ.Tstruct _ -> 4 (* TODO *)
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| Typ.Tarray (_, Some length, Some stride) -> IntLit.to_int stride * IntLit.to_int length
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| Typ.Tarray (typ, Some length, None) -> sizeof typ * IntLit.to_int length
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| _ -> 4
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let rec must_alias : Exp.t -> Exp.t -> Mem.astate -> bool
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= fun e1 e2 m ->
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match e1, e2 with
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| Exp.Var x1, Exp.Var x2 ->
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(match Mem.find_alias x1 m, Mem.find_alias x2 m with
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| Some x1', Some x2' -> Pvar.equal x1' x2'
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| _, _ -> false)
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| Exp.UnOp (uop1, e1', _), Exp.UnOp (uop2, e2', _) ->
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Unop.equal uop1 uop2 && must_alias e1' e2' m
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| Exp.BinOp (bop1, e11, e12), Exp.BinOp (bop2, e21, e22) ->
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Binop.equal bop1 bop2
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&& must_alias e11 e21 m
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&& must_alias e12 e22 m
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| Exp.Exn t1, Exp.Exn t2 -> must_alias t1 t2 m
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| Exp.Const c1, Exp.Const c2 -> Const.equal c1 c2
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| Exp.Cast (t1, e1'), Exp.Cast (t2, e2') ->
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Typ.equal t1 t2 && must_alias e1' e2' m
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| Exp.Lvar x1, Exp.Lvar x2 ->
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Pvar.equal x1 x2
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| Exp.Lfield (e1, fld1, _), Exp.Lfield (e2, fld2, _) ->
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must_alias e1 e2 m && Fieldname.equal fld1 fld2
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| Exp.Lindex (e11, e12), Exp.Lindex (e21, e22) ->
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must_alias e11 e21 m && must_alias e12 e22 m
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| Exp.Sizeof {nbytes=Some nbytes1}, Exp.Sizeof {nbytes=Some nbytes2} ->
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Int.equal nbytes1 nbytes2
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| Exp.Sizeof {typ=t1; dynamic_length=dynlen1; subtype=subt1},
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Exp.Sizeof {typ=t2; dynamic_length=dynlen2; subtype=subt2} ->
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Typ.equal t1 t2
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&& must_alias_opt dynlen1 dynlen2 m
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&& Int.equal (Subtype.compare subt1 subt2) 0
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| _, _ -> false
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and must_alias_opt : Exp.t option -> Exp.t option -> Mem.astate -> bool
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= fun e1_opt e2_opt m ->
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match e1_opt, e2_opt with
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| Some e1, Some e2 -> must_alias e1 e2 m
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| None, None -> true
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| _, _ -> false
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let comp_rev : Binop.t -> Binop.t
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= function
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| Binop.Lt -> Binop.Gt
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| Binop.Gt -> Binop.Lt
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| Binop.Le -> Binop.Ge
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| Binop.Ge -> Binop.Le
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| Binop.Eq -> Binop.Eq
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| Binop.Ne -> Binop.Ne
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| _ -> assert (false)
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let comp_not : Binop.t -> Binop.t
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= function
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| Binop.Lt -> Binop.Ge
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| Binop.Gt -> Binop.Le
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| Binop.Le -> Binop.Gt
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| Binop.Ge -> Binop.Lt
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| Binop.Eq -> Binop.Ne
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| Binop.Ne -> Binop.Eq
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| _ -> assert (false)
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let rec must_alias_cmp : Exp.t -> Mem.astate -> bool
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= fun e m ->
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match e with
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| Exp.BinOp (Binop.Lt, e1, e2)
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| Exp.BinOp (Binop.Gt, e1, e2)
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| Exp.BinOp (Binop.Ne, e1, e2) -> must_alias e1 e2 m
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| Exp.BinOp (Binop.LAnd, e1, e2) ->
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must_alias_cmp e1 m || must_alias_cmp e2 m
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| Exp.BinOp (Binop.LOr, e1, e2) ->
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must_alias_cmp e1 m && must_alias_cmp e2 m
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| Exp.UnOp (Unop.LNot, Exp.UnOp (Unop.LNot, e1, _), _) ->
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must_alias_cmp e1 m
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| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Lt as c, e1, e2), _)
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| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Gt as c, e1, e2), _)
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| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Le as c, e1, e2), _)
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| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Ge as c, e1, e2), _)
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| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Eq as c, e1, e2), _)
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| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Ne as c, e1, e2), _) ->
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must_alias_cmp (Exp.BinOp (comp_not c, e1, e2)) m
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| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.LOr, e1, e2), t) ->
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let e1' = Exp.UnOp (Unop.LNot, e1, t) in
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let e2' = Exp.UnOp (Unop.LNot, e2, t) in
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must_alias_cmp (Exp.BinOp (Binop.LAnd, e1', e2')) m
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| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.LAnd, e1, e2), t) ->
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let e1' = Exp.UnOp (Unop.LNot, e1, t) in
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let e2' = Exp.UnOp (Unop.LNot, e2, t) in
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must_alias_cmp (Exp.BinOp (Binop.LOr, e1', e2')) m
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| _ -> false
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let rec eval : Exp.t -> Mem.astate -> Location.t -> Val.t
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= fun exp mem loc ->
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if must_alias_cmp exp mem then Val.of_int 0 else
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match exp with
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| Exp.Var id -> Mem.find_stack (Var.of_id id |> Loc.of_var) mem
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| Exp.Lvar pvar ->
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let ploc = pvar |> Loc.of_pvar |> PowLoc.singleton in
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let arr = Mem.find_stack_set ploc mem in
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ploc |> Val.of_pow_loc |> Val.join arr
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| Exp.UnOp (uop, e, _) -> eval_unop uop e mem loc
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| Exp.BinOp (bop, e1, e2) -> eval_binop bop e1 e2 mem loc
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| Exp.Const c -> eval_const c
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| Exp.Cast (_, e) -> eval e mem loc
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| Exp.Lfield (e, fn, _) ->
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eval e mem loc
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|> Val.get_array_locs
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|> Fn.flip PowLoc.append_field fn
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|> Val.of_pow_loc
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| Exp.Lindex (e1, _) ->
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let arr = eval e1 mem loc |> Val.get_array_blk in (* must have array blk *)
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(* let idx = eval e2 mem loc in *)
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let ploc = if ArrayBlk.is_bot arr then PowLoc.unknown else ArrayBlk.get_pow_loc arr in
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(* if nested array, add the array blk *)
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let arr = Mem.find_heap_set ploc mem in
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Val.join (Val.of_pow_loc ploc) arr
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| Exp.Sizeof {nbytes=Some size} -> Val.of_int size
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| Exp.Sizeof {typ; nbytes=None} -> Val.of_int (sizeof typ)
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| Exp.Exn _
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| Exp.Closure _ -> Val.top_itv
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and eval_unop : Unop.t -> Exp.t -> Mem.astate -> Location.t -> Val.t
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= fun unop e mem loc ->
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let v = eval e mem loc in
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match unop with
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| Unop.Neg -> Val.neg v
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| Unop.BNot -> Val.unknown_bit v
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| Unop.LNot -> Val.lnot v
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and eval_binop
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: Binop.t -> Exp.t -> Exp.t -> Mem.astate -> Location.t -> Val.t
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= fun binop e1 e2 mem loc ->
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let v1 = eval e1 mem loc in
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let v2 = eval e2 mem loc in
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match binop with
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| Binop.PlusA ->
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Val.join (Val.plus v1 v2) (Val.plus_pi v1 v2)
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| Binop.PlusPI -> Val.plus_pi v1 v2
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| Binop.MinusA ->
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Val.joins
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[ Val.minus v1 v2
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; Val.minus_pi v1 v2
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; Val.minus_pp v1 v2 ]
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| Binop.MinusPI -> Val.minus_pi v1 v2
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| Binop.MinusPP -> Val.minus_pp v1 v2
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| Binop.Mult -> Val.mult v1 v2
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| Binop.Div -> Val.div v1 v2
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| Binop.Mod -> Val.mod_sem v1 v2
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| Binop.Shiftlt -> Val.shiftlt v1 v2
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| Binop.Shiftrt -> Val.shiftrt v1 v2
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| Binop.Lt -> Val.lt_sem v1 v2
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| Binop.Gt -> Val.gt_sem v1 v2
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| Binop.Le -> Val.le_sem v1 v2
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| Binop.Ge -> Val.ge_sem v1 v2
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| Binop.Eq -> Val.eq_sem v1 v2
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| Binop.Ne -> Val.ne_sem v1 v2
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| Binop.BAnd
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| Binop.BXor
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| Binop.BOr -> Val.unknown_bit v1
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| Binop.LAnd -> Val.land_sem v1 v2
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| Binop.LOr -> Val.lor_sem v1 v2
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| Binop.PtrFld -> raise Not_implemented
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let get_allocsite : Typ.Procname.t -> CFG.node -> int -> int -> string
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= fun proc_name node inst_num dimension ->
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let proc_name = Typ.Procname.to_string proc_name in
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let node_num = CFG.hash node |> string_of_int in
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let inst_num = string_of_int inst_num in
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let dimension = string_of_int dimension in
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(proc_name ^ "-" ^ node_num ^ "-" ^ inst_num ^ "-" ^ dimension)
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|> Allocsite.make
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let eval_array_alloc
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: Typ.Procname.t -> CFG.node -> Typ.t -> ?stride:int -> Itv.t -> Itv.t -> int -> int -> Val.t
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= fun pdesc node typ ?stride:stride0 offset size inst_num dimension ->
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let allocsite = get_allocsite pdesc node inst_num dimension in
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let int_stride = match stride0 with
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| None -> sizeof typ
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| Some stride -> stride in
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let stride = Itv.of_int int_stride in
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ArrayBlk.make allocsite offset size stride
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|> Val.of_array_blk
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let prune_unop : Exp.t -> Mem.astate -> Mem.astate
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= fun e mem ->
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match e with
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| Exp.Var x ->
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(match Mem.find_alias x mem with
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| Some x' ->
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let lv = Loc.of_pvar x' in
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let v = Mem.find_heap lv mem in
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let v' = Val.prune_zero v in
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Mem.update_mem (PowLoc.singleton lv) v' mem
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| None -> mem)
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| Exp.UnOp (Unop.LNot, Exp.Var x, _) ->
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(match Mem.find_alias x mem with
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| Some x' ->
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let lv = Loc.of_pvar x' in
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let v = Mem.find_heap lv mem in
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let itv_v =
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if Itv.is_bot (Val.get_itv v) then Itv.bot else
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Val.get_itv Val.zero
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in
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let v' = Val.modify_itv itv_v v in
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Mem.update_mem (PowLoc.singleton lv) v' mem
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| None -> mem)
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| _ -> mem
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let prune_binop_left : Exp.t -> Location.t -> Mem.astate -> Mem.astate
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= fun e loc mem ->
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match e with
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| Exp.BinOp (Binop.Lt as comp, Exp.Var x, e')
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| Exp.BinOp (Binop.Gt as comp, Exp.Var x, e')
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| Exp.BinOp (Binop.Le as comp, Exp.Var x, e')
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| Exp.BinOp (Binop.Ge as comp, Exp.Var x, e') ->
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(match Mem.find_alias x mem with
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| Some x' ->
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let lv = Loc.of_pvar x' in
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let v = Mem.find_heap lv mem in
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let v' = Val.prune_comp comp v (eval e' mem loc) in
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Mem.update_mem (PowLoc.singleton lv) v' mem
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| None -> mem)
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| Exp.BinOp (Binop.Eq, Exp.Var x, e') ->
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(match Mem.find_alias x mem with
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| Some x' ->
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let lv = Loc.of_pvar x' in
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let v = Mem.find_heap lv mem in
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let v' = Val.prune_eq v (eval e' mem loc) in
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Mem.update_mem (PowLoc.singleton lv) v' mem
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| None -> mem)
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| Exp.BinOp (Binop.Ne, Exp.Var x, e') ->
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(match Mem.find_alias x mem with
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| Some x' ->
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let lv = Loc.of_pvar x' in
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let v = Mem.find_heap lv mem in
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let v' = Val.prune_ne v (eval e' mem loc) in
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Mem.update_mem (PowLoc.singleton lv) v' mem
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| None -> mem)
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| _ -> mem
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let prune_binop_right : Exp.t -> Location.t -> Mem.astate -> Mem.astate
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= fun e loc mem ->
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match e with
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| Exp.BinOp (Binop.Lt as c, e', Exp.Var x)
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| Exp.BinOp (Binop.Gt as c, e', Exp.Var x)
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| Exp.BinOp (Binop.Le as c, e', Exp.Var x)
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| Exp.BinOp (Binop.Ge as c, e', Exp.Var x)
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| Exp.BinOp (Binop.Eq as c, e', Exp.Var x)
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| Exp.BinOp (Binop.Ne as c, e', Exp.Var x) ->
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prune_binop_left (Exp.BinOp (comp_rev c, Exp.Var x, e')) loc mem
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| _ -> mem
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let is_unreachable_constant : Exp.t -> Location.t -> Mem.astate -> bool
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= fun e loc m ->
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Val.(<=) ~lhs:(eval e m loc) ~rhs:(Val.of_int 0)
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let prune_unreachable : Exp.t -> Location.t -> Mem.astate -> Mem.astate
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= fun e loc mem ->
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if is_unreachable_constant e loc mem then Mem.bot else mem
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let rec prune : Exp.t -> Location.t -> Mem.astate -> Mem.astate
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= fun e loc mem ->
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let mem =
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mem
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|> prune_unreachable e loc
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|> prune_unop e
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|> prune_binop_left e loc
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|> prune_binop_right e loc
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in
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match e with
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| Exp.BinOp (Binop.Ne, e, Exp.Const (Const.Cint i)) when IntLit.iszero i ->
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prune e loc mem
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| Exp.BinOp (Binop.Eq, e, Exp.Const (Const.Cint i)) when IntLit.iszero i ->
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prune (Exp.UnOp (Unop.LNot, e, None)) loc mem
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| Exp.UnOp (Unop.Neg, Exp.Var x, _) -> prune (Exp.Var x) loc mem
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| Exp.BinOp (Binop.LAnd, e1, e2) ->
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mem |> prune e1 loc |> prune e2 loc
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| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.LOr, e1, e2), t) ->
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mem
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|> prune (Exp.UnOp (Unop.LNot, e1, t)) loc
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|> prune (Exp.UnOp (Unop.LNot, e2, t)) loc
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| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Lt as c, e1, e2), _)
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| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Gt as c, e1, e2), _)
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| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Le as c, e1, e2), _)
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| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Ge as c, e1, e2), _)
|
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| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Eq as c, e1, e2), _)
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| Exp.UnOp (Unop.LNot, Exp.BinOp (Binop.Ne as c, e1, e2), _) ->
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|
prune (Exp.BinOp (comp_not c, e1, e2)) loc mem
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| _ -> mem
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let get_formals : Procdesc.t -> (Pvar.t * Typ.t) list
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|
= fun pdesc ->
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let proc_name = Procdesc.get_proc_name pdesc in
|
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Procdesc.get_formals pdesc
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|> List.map ~f:(fun (name, typ) -> (Pvar.mk name proc_name, typ))
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let get_matching_pairs
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: Tenv.t -> Val.t -> Val.t -> Typ.t -> Mem.astate -> Mem.astate
|
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|
|
-> (Itv.Bound.t * Itv.Bound.t) list
|
|
|
|
= fun tenv formal actual typ caller_mem callee_mem ->
|
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|
|
let get_itv v = Val.get_itv v in
|
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|
let get_offset v = v |> Val.get_array_blk |> ArrayBlk.offsetof in
|
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|
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_array_locs v) fn) mem
|
|
|
|
in
|
|
|
|
let deref_ptr v mem = Mem.find_heap_set (Val.get_array_locs v) mem in
|
|
|
|
let add_pair_itv itv1 itv2 l =
|
|
|
|
let open Itv in
|
|
|
|
if itv1 <> bot && itv1 <> top && itv2 <> bot then
|
|
|
|
(lb itv1, lb itv2) :: (ub itv1, ub itv2) :: l
|
|
|
|
else if itv1 <> bot && itv1 <> top && 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
|