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(*
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* Copyright (c) 2017 - present Facebook, Inc.
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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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module F = Format
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(** Forward analysis to compute uninitialized variables at each program point *)
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module Domain = AbstractDomain.InvertedSet (AccessPath)
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(* pre = set of parameters initialized inside the procedure;
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post = set of uninit local variables of the procedure *)
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type summary = {pre: Domain.t; post: Domain.t}
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module VarPair = struct
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type t = Var.t * Var.t [@@deriving compare]
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let pp fmt pair = F.fprintf fmt " (%a, %a)" Var.pp (fst pair) Var.pp (snd pair)
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end
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let pp_summary fmt {pre; post} =
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F.fprintf fmt "@\n Pre: %a @\nPost: %a @\n" Domain.pp pre Domain.pp post
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module Record
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(Domain1 : AbstractDomain.S)
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(Domain2 : AbstractDomain.S)
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(Domain3 : AbstractDomain.S) =
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struct
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type astate =
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{ uninit_vars: Domain1.astate
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; aliased_vars: Domain2.astate
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; prepost: Domain3.astate * Domain3.astate }
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let ( <= ) ~lhs:({uninit_vars= lhs_uv; aliased_vars= lhs_av; prepost= lhs_pp} as lhs)
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~rhs:({uninit_vars= rhs_uv; aliased_vars= rhs_av; prepost= rhs_pp} as rhs) =
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if phys_equal lhs rhs then true
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else
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Domain1.( <= ) ~lhs:lhs_uv ~rhs:rhs_uv && Domain2.( <= ) ~lhs:lhs_av ~rhs:rhs_av
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&& Domain3.( <= ) ~lhs:(fst lhs_pp) ~rhs:(fst rhs_pp)
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&& Domain3.( <= ) ~lhs:(snd lhs_pp) ~rhs:(snd rhs_pp)
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let join ({uninit_vars= uv1; aliased_vars= av1; prepost= pp1} as astate1)
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({uninit_vars= uv2; aliased_vars= av2; prepost= pp2} as astate2) =
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if phys_equal astate1 astate2 then astate1
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else
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{ uninit_vars= Domain1.join uv1 uv2
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; aliased_vars= Domain2.join av1 av2
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; prepost= (Domain3.join (fst pp1) (fst pp2), Domain3.join (snd pp1) (snd pp2)) }
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let widen ~prev:({uninit_vars= prev_uv; aliased_vars= prev_av; prepost= prev_pp} as prev)
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~next:({uninit_vars= next_uv; aliased_vars= next_av; prepost= next_pp} as next) ~num_iters =
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if phys_equal prev next then prev
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else
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{ uninit_vars= Domain1.widen ~prev:prev_uv ~next:next_uv ~num_iters
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; aliased_vars= Domain2.widen ~prev:prev_av ~next:next_av ~num_iters
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; prepost=
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( Domain3.widen ~prev:(fst prev_pp) ~next:(fst next_pp) ~num_iters
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, Domain3.widen ~prev:(snd prev_pp) ~next:(snd next_pp) ~num_iters ) }
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let pp fmt {uninit_vars= uv; aliased_vars= av; prepost= pp} =
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F.fprintf fmt "@\n uninit_vars: %a @\n aliased_vars: %a @\n prepost: (%a, %a)" Domain1.pp uv
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Domain2.pp av Domain3.pp (fst pp) Domain3.pp (snd pp)
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end
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