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(*
* 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)
(* pre = set of parameters initialized inside the procedure;
post = set of uninit local variables of the procedure *)
type summary = {pre: Domain.t; post: Domain.t}
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
let pp_summary fmt {pre; post} =
F.fprintf fmt "@\n Pre: %a @\nPost: %a @\n" Domain.pp pre Domain.pp post
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 * Domain3.astate }
let ( <= ) ~lhs:({uninit_vars= lhs_uv; aliased_vars= lhs_av; prepost= lhs_pp} as lhs)
~rhs:({uninit_vars= rhs_uv; aliased_vars= rhs_av; prepost= rhs_pp} as rhs) =
if phys_equal lhs rhs then true
else
Domain1.( <= ) ~lhs:lhs_uv ~rhs:rhs_uv
&& Domain2.( <= ) ~lhs:lhs_av ~rhs:rhs_av
&& Domain3.( <= ) ~lhs:(fst lhs_pp) ~rhs:(fst rhs_pp)
&& Domain3.( <= ) ~lhs:(snd lhs_pp) ~rhs:(snd rhs_pp)
let join ({uninit_vars= uv1; aliased_vars= av1; prepost= pp1} as astate1)
({uninit_vars= uv2; aliased_vars= av2; prepost= pp2} as astate2) =
if phys_equal astate1 astate2 then astate1
else
{ uninit_vars= Domain1.join uv1 uv2
; aliased_vars= Domain2.join av1 av2
; prepost= (Domain3.join (fst pp1) (fst pp2), Domain3.join (snd pp1) (snd pp2)) }
let widen ~prev:({uninit_vars= prev_uv; aliased_vars= prev_av; prepost= prev_pp} as prev)
~next:({uninit_vars= next_uv; aliased_vars= next_av; prepost= next_pp} as next) ~num_iters =
if phys_equal prev next then prev
else
{ 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=
( Domain3.widen ~prev:(fst prev_pp) ~next:(fst next_pp) ~num_iters
, Domain3.widen ~prev:(snd prev_pp) ~next:(snd next_pp) ~num_iters ) }
let pp fmt {uninit_vars= uv; aliased_vars= av; prepost= pp} =
F.fprintf fmt "@\n uninit_vars: %a @\n aliased_vars: %a @\n prepost: (%a, %a)" Domain1.pp uv
Domain2.pp av Domain3.pp (fst pp) Domain3.pp (snd pp)
end