You can not select more than 25 topics Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.

520 lines
19 KiB

(*
* 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
module Trace = BufferOverrunTrace
module TraceSet = Trace.Set
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.Itv.top )
| Const.Cfloat f
-> f |> int_of_float |> Val.of_int
| _
-> Val.Itv.top
(* 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 _ | Typ.TVar _
-> 4 (* TODO *)
| Typ.Tarray (_, Some length, Some stride)
-> IntLit.to_int stride * IntLit.to_int length
| Typ.Tarray (typ, Some length, None)
-> sizeof typ * IntLit.to_int length
| _
-> 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 && Typ.Fieldname.equal fld1 fld2
| Exp.Lindex (e11, e12), Exp.Lindex (e21, e22)
-> must_alias e11 e21 m && must_alias e12 e22 m
| Exp.Sizeof {nbytes= Some nbytes1}, Exp.Sizeof {nbytes= Some nbytes2}
-> Int.equal nbytes1 nbytes2
| ( Exp.Sizeof {typ= t1; dynamic_length= dynlen1; subtype= subt1}
, Exp.Sizeof {typ= t2; dynamic_length= dynlen2; subtype= subt2} )
-> Typ.equal t1 t2 && must_alias_opt dynlen1 dynlen2 m
&& Int.equal (Subtype.compare subt1 subt2) 0
| _, _
-> false
and must_alias_opt : Exp.t option -> Exp.t option -> Mem.astate -> bool =
fun e1_opt e2_opt m ->
match (e1_opt, e2_opt) 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_array_locs |> Fn.flip PowLoc.append_field fn
|> Val.of_pow_loc
| Exp.Lindex (e1, _)
-> let arr = eval e1 mem loc |> Val.get_array_blk in
(* must have array blk *)
(* let idx = eval e2 mem loc in *)
let ploc = if ArrayBlk.is_bot arr then PowLoc.unknown else ArrayBlk.get_pow_loc arr 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 {nbytes= Some size}
-> Val.of_int size
| Exp.Sizeof {typ; nbytes= None}
-> Val.of_int (sizeof typ)
| Exp.Exn _ | Exp.Closure _
-> Val.Itv.top
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
let rec eval_locs : Exp.t -> Mem.astate -> Location.t -> Val.t =
fun exp mem loc ->
match exp with
| Exp.Var id -> (
match Mem.find_alias id mem with
| Some pvar
-> Var.of_pvar pvar |> Loc.of_var |> PowLoc.singleton |> Val.of_pow_loc
| None
-> Val.bot )
| Exp.Lvar pvar
-> pvar |> Loc.of_pvar |> PowLoc.singleton |> Val.of_pow_loc
| Exp.BinOp (bop, e1, e2)
-> eval_binop bop e1 e2 mem loc
| Exp.Cast (_, e)
-> eval_locs 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, e2)
-> let arr = eval e1 mem loc in
let idx = eval e2 mem loc in
Val.plus_pi arr idx
| Exp.Const _ | Exp.UnOp _ | Exp.Sizeof _ | Exp.Exn _ | Exp.Closure _
-> Val.bot
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 -> ?stride:int -> Itv.t -> Itv.t -> int -> int -> Val.t =
fun pdesc node typ ?stride:stride0 offset size inst_num dimension ->
let allocsite = get_allocsite pdesc node inst_num dimension in
let int_stride = match stride0 with None -> sizeof typ | Some stride -> stride in
let stride = Itv.of_int int_stride 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 Itv.false_sem 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 * TraceSet.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_array_locs v) mem in
let add_pair_itv itv1 itv2 traces l =
let open Itv in
if itv1 <> bot && itv1 <> top && itv2 <> bot then (lb itv1, lb itv2, traces)
:: (ub itv1, ub itv2, traces) :: l
else if itv1 <> bot && itv1 <> top && Itv.eq itv2 bot then
(lb itv1, Bound.Bot, TraceSet.empty) :: (ub itv1, Bound.Bot, TraceSet.empty) :: l
else l
in
let add_pair_val v1 v2 pairs =
pairs |> add_pair_itv (get_itv v1) (get_itv v2) (Val.get_traces v2)
|> add_pair_itv (get_offset v1) (get_offset v2) (Val.get_traces v2)
|> add_pair_itv (get_size v1) (get_size v2) (Val.get_traces 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 * TraceSet.t) list
-> Itv.Bound.t Itv.SubstMap.t * TraceSet.t Itv.SubstMap.t =
fun pairs ->
let add_pair (bound_map, trace_map) (formal, actual, traces) =
match formal with
| Itv.Bound.Linear (_, se1) when Itv.SymLinear.is_zero se1
-> (bound_map, trace_map)
| 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 bound_map, Itv.SubstMap.add symbol traces trace_map)
else assert false
| Itv.Bound.MinMax (Itv.Bound.Max, 0, symbol)
-> (Itv.SubstMap.add symbol actual bound_map, Itv.SubstMap.add symbol traces trace_map)
| _
-> assert false
in
List.fold ~f:add_pair ~init:(Itv.SubstMap.empty, 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 * TraceSet.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.Itv.top ~f:add_pair formals actuals ~init:[]
|> subst_map_of_pairs
end