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(*
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* Copyright (c) Facebook, Inc. and its affiliates.
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*
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* This source code is licensed under the MIT license found in the
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* LICENSE file in the root directory of this source tree.
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*)
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open! IStd
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open PulseBasicInterface
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module L = Logging
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type value = AbstractValue.t
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type event = Call of {return: value option; arguments: value list; procname: Procname.t}
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let pp_comma_seq f xs = Pp.comma_seq ~print_env:Pp.text_break f xs
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let pp_event f (Call {return; arguments; procname}) =
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let procname = Procname.hashable_name procname (* as in [static_match] *) in
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Format.fprintf f "@[call@ %a=%s(%a)@]" (Pp.option AbstractValue.pp) return procname
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(pp_comma_seq AbstractValue.pp) arguments
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type vertex = ToplAutomaton.vindex
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type register = ToplAst.register_name
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(* TODO(rgrigore): Change the memory assoc list to a Map. *)
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type configuration = {vertex: vertex; memory: (register * value) list}
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type predicate = Binop.t * PathCondition.operand * PathCondition.operand
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type step =
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{ step_location: Location.t
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; step_predecessor: simple_state (** state before this step *)
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; step_data: step_data }
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and step_data = SmallStep of event | LargeStep of (Procname.t * (* post *) simple_state)
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(* TODO(rgrigore): | LargeStep of simple_state *)
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and simple_state =
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{ pre: configuration (** at the start of the procedure *)
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; post: configuration (** at the current program point *)
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; pruned: predicate list (** path-condition for the automaton *)
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; last_step: step option (** for trace error reporting *) }
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(* TODO: include a hash of the automaton in a summary to avoid caching problems. *)
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(* TODO: limit the number of simple_states to some configurable number (default ~5) *)
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type state = simple_state list
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let pp_predicate f (op, l, r) =
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Format.fprintf f "@[%a%a%a@]" PathCondition.pp_operand l Binop.pp op PathCondition.pp_operand r
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let pp_mapping f (x, value) = Format.fprintf f "@[%s↦%a@]@," x AbstractValue.pp value
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let pp_memory f memory = Format.fprintf f "@[<2>[%a]@]" (pp_comma_seq pp_mapping) memory
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let pp_configuration f {vertex; memory} =
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Format.fprintf f "@[{ topl-config@;vertex=%d@;memory=%a }@]" vertex pp_memory memory
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let pp_simple_state f {pre; post; pruned} =
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Format.fprintf f "@[<2>{ topl-simple-state@;pre=%a@;post=%a@;pruned=(%a) }@]" pp_configuration pre
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pp_configuration post (Pp.seq ~sep:"∧" pp_predicate) pruned
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let pp_state f = Format.fprintf f "@[<2>[ %a ]@]" (pp_comma_seq pp_simple_state)
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let start () =
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let mk_simple_states () =
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let a = Topl.automaton () in
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let memory =
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List.map ~f:(fun r -> (r, AbstractValue.mk_fresh ())) (ToplAutomaton.registers a)
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in
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let configurations =
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let n = ToplAutomaton.vcount a in
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let f acc vertex = {vertex; memory} :: acc in
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IContainer.forto n ~init:[] ~f
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in
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List.map ~f:(fun c -> {pre= c; post= c; pruned= []; last_step= None}) configurations
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in
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if Topl.is_deep_active () then mk_simple_states () else (* Avoids work later *) []
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let get env x =
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match List.Assoc.find env ~equal:String.equal x with
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| Some v ->
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v
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| None ->
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L.die InternalError "TOPL: Cannot find %s. Should be caught by static checks" x
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let set = List.Assoc.add ~equal:String.equal
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let is_trivially_true (predicate : predicate) =
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match predicate with
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| Eq, AbstractValueOperand l, AbstractValueOperand r when AbstractValue.equal l r ->
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true
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| _ ->
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false
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let eval_guard memory tcontext guard =
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let operand_of_value (value : ToplAst.value) : PathCondition.operand =
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match value with
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| Constant (LiteralInt x) ->
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LiteralOperand (IntLit.of_int x)
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| Register reg ->
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AbstractValueOperand (get memory reg)
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| Binding v ->
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AbstractValueOperand (get tcontext v)
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in
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let add predicate pruned = if is_trivially_true predicate then pruned else predicate :: pruned in
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let conjoin_predicate pruned (predicate : ToplAst.predicate) =
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match predicate with
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| Binop (binop, l, r) ->
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let l = operand_of_value l in
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let r = operand_of_value r in
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let binop = ToplUtils.binop_to binop in
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add (binop, l, r) pruned
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| Value v ->
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let v = operand_of_value v in
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let one = PathCondition.LiteralOperand IntLit.one in
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add (Binop.Ne, v, one) pruned
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in
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List.fold ~init:[] ~f:conjoin_predicate guard
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let apply_action tcontext assignments memory =
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let apply_one memory (register, variable) = set memory register (get tcontext variable) in
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List.fold ~init:memory ~f:apply_one assignments
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type tcontext = (ToplAst.variable_name * AbstractValue.t) list
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let pp_tcontext f tcontext =
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Format.fprintf f "@[[%a]@]" (pp_comma_seq (Pp.pair ~fst:String.pp ~snd:AbstractValue.pp)) tcontext
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(** Returns a list of transitions whose pattern matches (e.g., event type matches). Each match
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produces a tcontext (transition context), which matches transition-local variables to abstract
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values. *)
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let static_match (Call {return; arguments; procname} as event) :
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(ToplAutomaton.transition * tcontext) list =
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(* TODO(rgrigore): if both [Topl.evaluate_static_guard] and [PulseTopl.static_match] remain, try to factor code. *)
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let rev_arguments = List.rev arguments in
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let procname = Procname.hashable_name procname in
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let match_one t =
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let ret c = Some (t, c) in
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let f label =
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let match_name () : bool =
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let re = Str.regexp label.ToplAst.procedure_name in
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Str.string_match re procname 0
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in
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let match_args () : (ToplAutomaton.transition * tcontext) option =
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let match_formals formals =
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let bind ~init rev_formals =
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let f tcontext variable value = (variable, value) :: tcontext in
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match List.fold2 ~init ~f rev_formals rev_arguments with
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| Ok c ->
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ret c
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| Unequal_lengths ->
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None
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in
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match (List.rev formals, return) with
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| [], Some _ ->
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None
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| rev_formals, None ->
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bind ~init:[] rev_formals
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| r :: rev_formals, Some v ->
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bind ~init:[(r, v)] rev_formals
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in
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Option.value_map ~default:(ret []) ~f:match_formals label.ToplAst.arguments
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in
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if match_name () then match_args () else None
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in
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let result = Option.value_map ~default:(ret []) ~f t.ToplAutomaton.label in
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let pp_second pp f (_, x) = pp f x in
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L.d_printfln "@[<2>PulseTopl.static_match:@;transition %a@;event %a@;result %a@]"
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ToplAutomaton.pp_transition t pp_event event
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(Pp.option (pp_second pp_tcontext))
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result ;
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result
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in
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ToplAutomaton.tfilter_map (Topl.automaton ()) ~f:match_one
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let conjoin_pruned path_condition pruned =
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let f path_condition (op, l, r) =
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let path_condition, _new_eqs = PathCondition.prune_binop ~negated:false op l r path_condition in
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path_condition
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in
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List.fold ~init:path_condition ~f pruned
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let is_unsat path_condition pruned =
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PathCondition.is_unsat_cheap (conjoin_pruned path_condition pruned)
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let negate_predicate =
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Binop.(
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function
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| Eq, l, r ->
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(Ne, l, r)
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| Ne, l, r ->
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(Eq, l, r)
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| Ge, l, r ->
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(Lt, r, l)
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| Gt, l, r ->
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(Le, r, l)
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| Le, l, r ->
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(Gt, r, l)
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| Lt, l, r ->
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(Ge, r, l)
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| _ ->
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L.die InternalError
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"PulseTopl.negate_predicate should handle all outputs of ToplUtils.binop_to")
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let skip_pruned_of_nonskip_pruned nonskip_list =
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IList.product (List.map ~f:(List.map ~f:negate_predicate) nonskip_list)
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let drop_infeasible path_condition state =
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let f {pruned} = not (is_unsat path_condition pruned) in
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List.filter ~f state
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let small_step loc path_condition event simple_states =
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let tmatches = static_match event in
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let evolve_transition (old : simple_state) (transition, tcontext) : state =
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let mk ?(memory = old.post.memory) ?(pruned = []) significant =
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let last_step =
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if significant then
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Some {step_location= loc; step_predecessor= old; step_data= SmallStep event}
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else old.last_step
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in
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(* NOTE: old pruned is discarded, because evolve_simple_state needs to see only new prunes
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to determine skip transitions. It will then add back old prunes. *)
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let post = {vertex= transition.ToplAutomaton.target; memory} in
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{old with post; pruned; last_step}
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in
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match transition.ToplAutomaton.label with
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| None ->
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(* "any" transition *)
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let is_loop = Int.equal transition.ToplAutomaton.source transition.ToplAutomaton.target in
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[mk (not is_loop)]
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| Some label ->
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let memory = old.post.memory in
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let pruned = eval_guard memory tcontext label.ToplAst.condition in
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let memory = apply_action tcontext label.ToplAst.action memory in
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[mk ~memory ~pruned true]
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in
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let evolve_simple_state old =
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let path_condition = conjoin_pruned path_condition old.pruned in
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let tmatches =
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List.filter ~f:(fun (t, _) -> Int.equal old.post.vertex t.ToplAutomaton.source) tmatches
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in
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let nonskip =
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drop_infeasible path_condition (List.concat_map ~f:(evolve_transition old) tmatches)
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in
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let skip =
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let nonskip_pruned_list = List.map ~f:(fun {pruned} -> pruned) nonskip in
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let skip_pruned_list = skip_pruned_of_nonskip_pruned nonskip_pruned_list in
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let f pruned = {old with pruned} (* keeps last_step from old *) in
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drop_infeasible path_condition (List.map ~f skip_pruned_list)
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in
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let add_old_pruned s = {s with pruned= List.rev_append s.pruned old.pruned} in
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List.map ~f:add_old_pruned (List.rev_append nonskip skip)
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in
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let result = List.concat_map ~f:evolve_simple_state simple_states in
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L.d_printfln "@[<2>PulseTopl.small_step:@;%a@ -> %a@]" pp_state simple_states pp_state result ;
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result
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let sub_value (sub, value) =
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match AbstractValue.Map.find_opt value sub with
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| Some (v, _history) ->
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(sub, v)
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| None ->
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let v = AbstractValue.mk_fresh () in
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let sub = AbstractValue.Map.add value (v, []) sub in
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(sub, v)
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let sub_list sub_elem (sub, xs) =
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let f (sub, xs) x =
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let sub, x = sub_elem (sub, x) in
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(sub, x :: xs)
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in
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let sub, xs = List.fold ~init:(sub, []) ~f xs in
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(sub, List.rev xs)
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let of_unequal =
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List.Or_unequal_lengths.(
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function
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| Ok x ->
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x
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| Unequal_lengths ->
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L.die InternalError "PulseTopl expected lists to be of equal lengths")
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let sub_configuration (sub, {vertex; memory}) =
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let keys, values = List.unzip memory in
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let sub, values = sub_list sub_value (sub, values) in
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let memory = of_unequal (List.zip keys values) in
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(sub, {vertex; memory})
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let sub_predicate (sub, predicate) =
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let avo x : PathCondition.operand = AbstractValueOperand x in
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match (predicate : predicate) with
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| op, AbstractValueOperand l, AbstractValueOperand r ->
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let sub, l = sub_value (sub, l) in
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let sub, r = sub_value (sub, r) in
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(sub, (op, avo l, avo r))
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| op, AbstractValueOperand l, r ->
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let sub, l = sub_value (sub, l) in
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(sub, (op, avo l, r))
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| op, l, AbstractValueOperand r ->
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let sub, r = sub_value (sub, r) in
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(sub, (op, l, avo r))
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| _ ->
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(sub, predicate)
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let sub_pruned = sub_list sub_predicate
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(* Does not substitute in [last_step]: not usually needed, and takes much time. *)
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let sub_simple_state (sub, {pre; post; pruned; last_step}) =
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let sub, pre = sub_configuration (sub, pre) in
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let sub, post = sub_configuration (sub, post) in
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let sub, pruned = sub_pruned (sub, pruned) in
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(sub, {pre; post; pruned; last_step})
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let sub_state = sub_list sub_simple_state
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let large_step ~call_location ~callee_proc_name ~substitution ~condition ~callee_prepost state =
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let seq ((p : simple_state), (q : simple_state)) =
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if not (Int.equal p.post.vertex q.pre.vertex) then None
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else
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let add_eq eqs (register, value_a) =
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let value_b =
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match List.Assoc.find ~equal:String.equal q.pre.memory register with
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| Some x ->
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x
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| None ->
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L.die InternalError "PulseTopl expects all registers in memory"
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in
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let op x = PathCondition.AbstractValueOperand x in
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(Binop.Eq, op value_a, op value_b) :: eqs
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in
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let pruned = List.fold ~init:(p.pruned @ q.pruned) ~f:add_eq p.post.memory in
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let last_step =
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Some
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{ step_location= call_location
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; step_predecessor= p
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; step_data= LargeStep (callee_proc_name, q) }
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in
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Some {pre= p.pre; post= q.post; pruned; last_step}
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in
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let _updated_substitution, callee_prepost = sub_state (substitution, callee_prepost) in
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(* TODO(rgrigore): may be worth optimizing the cartesian_product *)
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let state = List.filter_map ~f:seq (List.cartesian_product state callee_prepost) in
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drop_infeasible condition state
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let filter_for_summary path_condition state =
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List.filter ~f:(fun x -> not (is_unsat path_condition x.pruned)) state
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let simplify ~keep state =
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let simplify_simple_state {pre; post; pruned; last_step} =
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(* NOTE(rgrigore): registers could be considered live for the program path_condition as well.
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That should improve precision, but I'm wary of altering what the Pulse program state is just
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because Topl is enabled. *)
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let collect memory keep =
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List.fold ~init:keep ~f:(fun keep (_reg, value) -> AbstractValue.Set.add value keep) memory
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in
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let keep = keep |> collect pre.memory |> collect post.memory in
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let is_live_operand =
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PathCondition.(
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function LiteralOperand _ -> true | AbstractValueOperand v -> AbstractValue.Set.mem v keep)
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in
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let is_live_predicate (_op, l, r) = is_live_operand l && is_live_operand r in
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let pruned = List.filter ~f:is_live_predicate pruned in
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{pre; post; pruned; last_step}
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in
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List.map ~f:simplify_simple_state state
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let description_of_step_data step_data =
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let procname =
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match step_data with SmallStep (Call {procname}) | LargeStep (procname, _) -> procname
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in
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Format.fprintf Format.str_formatter "@[call to %a@]" Procname.pp procname ;
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Format.flush_str_formatter ()
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let report_errors proc_desc err_log state =
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let a = Topl.automaton () in
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let rec make_trace nesting acc q =
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match q.last_step with
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| None ->
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acc
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| Some {step_location; step_predecessor; step_data} ->
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let description = description_of_step_data step_data in
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let acc =
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Errlog.make_trace_element nesting step_location description []
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::
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( match step_data with
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| SmallStep _ ->
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acc
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| LargeStep (_, qq) ->
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make_trace (nesting + 1) acc qq )
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in
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make_trace nesting acc step_predecessor
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in
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let report_simple_state q =
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if ToplAutomaton.is_start a q.pre.vertex && ToplAutomaton.is_error a q.post.vertex then
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let loc = Procdesc.get_loc proc_desc in
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let ltr = make_trace 0 [] q in
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let message = Format.asprintf "%a" ToplAutomaton.pp_message_of_state (a, q.post.vertex) in
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Reporting.log_issue proc_desc err_log ~loc ~ltr ToplOnPulse IssueType.topl_pulse_error message
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in
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List.iter ~f:report_simple_state state
|