|
|
|
(*
|
|
|
|
* Copyright (c) 2017-present, Facebook, Inc.
|
|
|
|
*
|
|
|
|
* This source code is licensed under the MIT license found in the
|
|
|
|
* LICENSE file in the root directory of this source tree.
|
|
|
|
*)
|
|
|
|
|
|
|
|
open! IStd
|
|
|
|
module F = Format
|
|
|
|
|
|
|
|
(** Forward analysis to compute uninitialized variables at each program point *)
|
|
|
|
module Domain = AbstractDomain.InvertedSet (AccessExpression)
|
|
|
|
|
|
|
|
type 'a prepost = {pre: 'a; post: 'a}
|
|
|
|
|
|
|
|
module VarPair = struct
|
|
|
|
type t = Var.t * Var.t [@@deriving compare]
|
|
|
|
|
|
|
|
let pp fmt pair = F.fprintf fmt " (%a, %a)" Var.pp (fst pair) Var.pp (snd pair)
|
|
|
|
end
|
|
|
|
|
|
|
|
module Record
|
|
|
|
(Domain1 : AbstractDomain.S)
|
|
|
|
(Domain2 : AbstractDomain.S)
|
|
|
|
(Domain3 : AbstractDomain.S) =
|
|
|
|
struct
|
|
|
|
type astate =
|
|
|
|
{uninit_vars: Domain1.astate; aliased_vars: Domain2.astate; prepost: Domain3.astate prepost}
|
|
|
|
|
|
|
|
let ( <= ) ~lhs ~rhs =
|
|
|
|
if phys_equal lhs rhs then true
|
|
|
|
else
|
|
|
|
let {uninit_vars= lhs_uv; aliased_vars= lhs_av; prepost= {pre= lhs_pre; post= lhs_post}} =
|
|
|
|
lhs
|
|
|
|
in
|
|
|
|
let {uninit_vars= rhs_uv; aliased_vars= rhs_av; prepost= {pre= rhs_pre; post= rhs_post}} =
|
|
|
|
rhs
|
|
|
|
in
|
|
|
|
Domain1.( <= ) ~lhs:lhs_uv ~rhs:rhs_uv
|
|
|
|
&& Domain2.( <= ) ~lhs:lhs_av ~rhs:rhs_av
|
|
|
|
&& Domain3.( <= ) ~lhs:lhs_pre ~rhs:rhs_pre
|
|
|
|
&& Domain3.( <= ) ~lhs:lhs_post ~rhs:rhs_post
|
|
|
|
|
|
|
|
|
|
|
|
let join astate1 astate2 =
|
|
|
|
if phys_equal astate1 astate2 then astate1
|
|
|
|
else
|
|
|
|
let {uninit_vars= uv1; aliased_vars= av1; prepost= {pre= pre1; post= post1}} = astate1 in
|
|
|
|
let {uninit_vars= uv2; aliased_vars= av2; prepost= {pre= pre2; post= post2}} = astate2 in
|
|
|
|
{ uninit_vars= Domain1.join uv1 uv2
|
|
|
|
; aliased_vars= Domain2.join av1 av2
|
|
|
|
; prepost= {pre= Domain3.join pre1 pre2; post= Domain3.join post1 post2} }
|
|
|
|
|
|
|
|
|
|
|
|
let widen ~prev ~next ~num_iters =
|
|
|
|
if phys_equal prev next then prev
|
|
|
|
else
|
|
|
|
let {uninit_vars= prev_uv; aliased_vars= prev_av; prepost= {pre= prev_pre; post= prev_post}}
|
|
|
|
=
|
|
|
|
prev
|
|
|
|
in
|
|
|
|
let {uninit_vars= next_uv; aliased_vars= next_av; prepost= {pre= next_pre; post= next_post}}
|
|
|
|
=
|
|
|
|
next
|
|
|
|
in
|
|
|
|
{ uninit_vars= Domain1.widen ~prev:prev_uv ~next:next_uv ~num_iters
|
|
|
|
; aliased_vars= Domain2.widen ~prev:prev_av ~next:next_av ~num_iters
|
|
|
|
; prepost=
|
|
|
|
{ pre= Domain3.widen ~prev:prev_pre ~next:next_pre ~num_iters
|
|
|
|
; post= Domain3.widen ~prev:prev_post ~next:next_post ~num_iters } }
|
|
|
|
|
|
|
|
|
|
|
|
let pp fmt {uninit_vars= uv; aliased_vars= av; prepost= {pre; post}} =
|
|
|
|
F.fprintf fmt "@\n uninit_vars: %a @\n aliased_vars: %a @\n prepost: (%a, %a)" Domain1.pp uv
|
|
|
|
Domain2.pp av Domain3.pp pre Domain3.pp post
|
|
|
|
end
|
|
|
|
|
|
|
|
module Summary = struct
|
|
|
|
(* pre = set of parameters initialized inside the procedure;
|
|
|
|
post = set of uninit local variables of the procedure *)
|
|
|
|
type t = Domain.t prepost
|
|
|
|
|
|
|
|
let pp fmt {pre; post} = F.fprintf fmt "@\n Pre: %a @\nPost: %a @\n" Domain.pp pre Domain.pp post
|
|
|
|
end
|