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@ -11,9 +11,11 @@ module F = Format
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(** Forward analysis to compute uninitialized variables at each program point *)
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(** Forward analysis to compute uninitialized variables at each program point *)
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module Domain = AbstractDomain.InvertedSet (AccessExpression)
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module Domain = AbstractDomain.InvertedSet (AccessExpression)
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type 'a prepost = {pre: 'a; post: 'a}
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(* pre = set of parameters initialized inside the procedure;
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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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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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type summary = Domain.t prepost
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module VarPair = struct
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module VarPair = struct
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type t = Var.t * Var.t [@@deriving compare]
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type t = Var.t * Var.t [@@deriving compare]
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@ -31,41 +33,52 @@ module Record
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(Domain3 : AbstractDomain.S) =
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(Domain3 : AbstractDomain.S) =
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struct
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struct
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type astate =
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type astate =
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{ uninit_vars: Domain1.astate
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{uninit_vars: Domain1.astate; aliased_vars: Domain2.astate; prepost: Domain3.astate prepost}
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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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let ( <= ) ~lhs ~rhs =
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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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if phys_equal lhs rhs then true
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else
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else
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let {uninit_vars= lhs_uv; aliased_vars= lhs_av; prepost= {pre= lhs_pre; post= lhs_post}} =
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lhs
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in
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let {uninit_vars= rhs_uv; aliased_vars= rhs_av; prepost= {pre= rhs_pre; post= rhs_post}} =
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rhs
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in
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Domain1.( <= ) ~lhs:lhs_uv ~rhs:rhs_uv
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Domain1.( <= ) ~lhs:lhs_uv ~rhs:rhs_uv
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&& Domain2.( <= ) ~lhs:lhs_av ~rhs:rhs_av
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&& 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:lhs_pre ~rhs:rhs_pre
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&& Domain3.( <= ) ~lhs:(snd lhs_pp) ~rhs:(snd rhs_pp)
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&& Domain3.( <= ) ~lhs:lhs_post ~rhs:rhs_post
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let join ({uninit_vars= uv1; aliased_vars= av1; prepost= pp1} as astate1)
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let join astate1 astate2 =
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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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if phys_equal astate1 astate2 then astate1
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else
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else
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let {uninit_vars= uv1; aliased_vars= av1; prepost= {pre= pre1; post= post1}} = astate1 in
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let {uninit_vars= uv2; aliased_vars= av2; prepost= {pre= pre2; post= post2}} = astate2 in
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{ uninit_vars= Domain1.join uv1 uv2
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{ uninit_vars= Domain1.join uv1 uv2
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; aliased_vars= Domain2.join av1 av2
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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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; prepost= {pre= Domain3.join pre1 pre2; post= Domain3.join post1 post2} }
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let widen ~prev:({uninit_vars= prev_uv; aliased_vars= prev_av; prepost= prev_pp} as prev)
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let widen ~prev ~next ~num_iters =
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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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if phys_equal prev next then prev
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else
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else
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let {uninit_vars= prev_uv; aliased_vars= prev_av; prepost= {pre= prev_pre; post= prev_post}}
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=
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prev
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in
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let {uninit_vars= next_uv; aliased_vars= next_av; prepost= {pre= next_pre; post= next_post}}
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=
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next
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in
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{ uninit_vars= Domain1.widen ~prev:prev_uv ~next:next_uv ~num_iters
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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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; aliased_vars= Domain2.widen ~prev:prev_av ~next:next_av ~num_iters
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; prepost=
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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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{ pre= Domain3.widen ~prev:prev_pre ~next:next_pre ~num_iters
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, Domain3.widen ~prev:(snd prev_pp) ~next:(snd next_pp) ~num_iters ) }
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; post= Domain3.widen ~prev:prev_post ~next:next_post ~num_iters } }
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let pp fmt {uninit_vars= uv; aliased_vars= av; prepost= pp} =
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let pp fmt {uninit_vars= uv; aliased_vars= av; prepost= {pre; post}} =
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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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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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Domain2.pp av Domain3.pp pre Domain3.pp post
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end
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end
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