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@ -52,6 +52,42 @@ module BottomLifted (Domain : S) = struct
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| NonBottom astate -> Domain.pp fmt astate
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| NonBottom astate -> Domain.pp fmt astate
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end
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end
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(* cartestian product of two domains *)
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module Pair (Domain1 : S) (Domain2 : S) = struct
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type astate = Domain1.astate * Domain2.astate
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let is_bottom (astate1, astate2) =
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Domain1.is_bottom astate1 || Domain2.is_bottom astate2
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let initial = Domain1.initial, Domain2.initial
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let (<=) ~lhs ~rhs =
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if lhs == rhs
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then true
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else
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match is_bottom lhs, is_bottom rhs with
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| true, _ -> true
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| _, true -> false
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| _ ->
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Domain1.(<=) ~lhs:(fst lhs) ~rhs:(fst rhs) && Domain2.(<=) ~lhs:(snd lhs) ~rhs:(snd rhs)
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let join astate1 astate2 =
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if astate1 == astate2
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then astate1
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else
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match is_bottom astate1, is_bottom astate2 with
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| true, _ -> astate2
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| _, true -> astate1
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| _ -> Domain1.join (fst astate1) (fst astate2), Domain2.join (snd astate1) (snd astate2)
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let widen ~prev:(astate1_next, astate2_next) ~next:(astate1_prev, astate2_prev) ~num_iters =
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Domain1.widen ~prev:astate1_next ~next:astate1_prev ~num_iters,
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Domain2.widen ~prev:astate2_next ~next:astate2_prev ~num_iters
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let pp fmt (astate1, astate2) =
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F.fprintf fmt "(%a, %a)" Domain1.pp astate1 Domain2.pp astate2
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end
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(* lift a set to a domain. the elements of the set should be drawn from a *finite* collection of
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(* lift a set to a domain. the elements of the set should be drawn from a *finite* collection of
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possible values, since the widening operator here is just union. *)
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possible values, since the widening operator here is just union. *)
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module FiniteSet (S : PrettyPrintable.PPSet) = struct
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module FiniteSet (S : PrettyPrintable.PPSet) = struct
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