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| 1 | +(** Standard widening delay with counters. |
| 2 | +
|
| 3 | + Abstract elements are paired with an integer counter, indicating how many times it has been widened. |
| 4 | + Lifted abstract elements are only widened if the counter exceeds a predefined limit. *) |
| 5 | + |
| 6 | +open Batteries |
| 7 | +open Lattice |
| 8 | +open Analyses |
| 9 | + |
| 10 | +module LocalChainParams: Printable.ChainParams = |
| 11 | +struct |
| 12 | + let n () = GobConfig.get_int "ana.widen.delay.local" |
| 13 | + let names = string_of_int |
| 14 | +end |
| 15 | + |
| 16 | +module GlobalChainParams: Printable.ChainParams = |
| 17 | +struct |
| 18 | + let n () = GobConfig.get_int "ana.widen.delay.global" |
| 19 | + let names = string_of_int |
| 20 | +end |
| 21 | + |
| 22 | +module Dom (Base: S) (ChainParams: Printable.ChainParams) = |
| 23 | +struct |
| 24 | + module Chain = Printable.Chain (ChainParams) |
| 25 | + include Printable.Prod (Base) (Chain) |
| 26 | + |
| 27 | + let bot () = (Base.bot (), 0) |
| 28 | + let is_bot (b, _) = Base.is_bot b |
| 29 | + let top () = (Base.top (), ChainParams.n ()) |
| 30 | + let is_top (b, _) = Base.is_top b |
| 31 | + |
| 32 | + let leq (b1, _) (b2, _) = Base.leq b1 b2 |
| 33 | + |
| 34 | + (** All operations keep maximal counter. *) |
| 35 | + let join (b1, i1) (b2, i2) = (Base.join b1 b2, max i1 i2) |
| 36 | + let meet (b1, i1) (b2, i2) = (Base.meet b1 b2, max i1 i2) |
| 37 | + let widen (b1, i1) (b2, i2) = |
| 38 | + let i' = max i1 i2 in |
| 39 | + if i' < ChainParams.n () then |
| 40 | + (Base.join b1 b2, i' + 1) |
| 41 | + else |
| 42 | + (Base.widen b1 b2, i') (* Don't increase beyond n, otherwise TD3 will not reach fixpoint w.r.t. equal. *) |
| 43 | + let narrow (b1, i1) (b2, i2) = (Base.narrow b1 b2, max i1 i2) |
| 44 | + |
| 45 | + let pretty_diff () ((b1, _), (b2, _)) = |
| 46 | + Base.pretty_diff () (b1, b2) (* Counters cannot violate leq. *) |
| 47 | +end |
| 48 | + |
| 49 | + |
| 50 | +(** Lift {!S} to use widening delay for local states. |
| 51 | +
|
| 52 | + All transfer functions reset the counter to 0, so counting only happens between old and new values at a local unknown. *) |
| 53 | +module DLifter (S: Spec): Spec = |
| 54 | +struct |
| 55 | + module D = |
| 56 | + struct |
| 57 | + include Dom (S.D) (LocalChainParams) |
| 58 | + |
| 59 | + let printXml f (b, i) = |
| 60 | + BatPrintf.fprintf f "%a<analysis name=\"widen-delay\">%a</analysis>" S.D.printXml b Chain.printXml i |
| 61 | + end |
| 62 | + module G = S.G |
| 63 | + module C = S.C |
| 64 | + module V = S.V |
| 65 | + module P = |
| 66 | + struct |
| 67 | + include S.P |
| 68 | + let of_elt (x, _) = of_elt x |
| 69 | + end |
| 70 | + |
| 71 | + let name () = S.name () ^ " with widening delay" |
| 72 | + |
| 73 | + type marshal = S.marshal |
| 74 | + let init = S.init |
| 75 | + let finalize = S.finalize |
| 76 | + |
| 77 | + let startstate v = (S.startstate v, 0) |
| 78 | + let exitstate v = (S.exitstate v, 0) |
| 79 | + let morphstate v (d, l) = (S.morphstate v d, l) |
| 80 | + |
| 81 | + let conv (man: (D.t, G.t, C.t, V.t) man): (S.D.t, S.G.t, S.C.t, S.V.t) man = |
| 82 | + { man with local = fst man.local |
| 83 | + ; split = (fun d es -> man.split (d, 0) es) |
| 84 | + } |
| 85 | + |
| 86 | + let context man fd (d, _) = S.context (conv man) fd d |
| 87 | + let startcontext () = S.startcontext () |
| 88 | + |
| 89 | + let lift_fun man f g h = |
| 90 | + f @@ h (g (conv man)) |
| 91 | + |
| 92 | + let lift d = (d, 0) |
| 93 | + |
| 94 | + let sync man reason = lift_fun man lift S.sync ((|>) reason) |
| 95 | + let query man (type a) (q: a Queries.t): a Queries.result = S.query (conv man) q |
| 96 | + let assign man lv e = lift_fun man lift S.assign ((|>) e % (|>) lv) |
| 97 | + let vdecl man v = lift_fun man lift S.vdecl ((|>) v) |
| 98 | + let branch man e tv = lift_fun man lift S.branch ((|>) tv % (|>) e) |
| 99 | + let body man f = lift_fun man lift S.body ((|>) f) |
| 100 | + let return man r f = lift_fun man lift S.return ((|>) f % (|>) r) |
| 101 | + let asm man = lift_fun man lift S.asm identity |
| 102 | + let skip man = lift_fun man lift S.skip identity |
| 103 | + let special man r f args = lift_fun man lift S.special ((|>) args % (|>) f % (|>) r) |
| 104 | + |
| 105 | + let enter man r f args = |
| 106 | + let liftmap = List.map (Tuple2.mapn lift) in |
| 107 | + lift_fun man liftmap S.enter ((|>) args % (|>) f % (|>) r) |
| 108 | + let combine_env man r fe f args fc es f_ask = lift_fun man lift S.combine_env (fun p -> p r fe f args fc (fst es) f_ask) |
| 109 | + let combine_assign man r fe f args fc es f_ask = lift_fun man lift S.combine_assign (fun p -> p r fe f args fc (fst es) f_ask) |
| 110 | + |
| 111 | + let threadenter man ~multiple lval f args = lift_fun man (List.map lift) (S.threadenter ~multiple) ((|>) args % (|>) f % (|>) lval) |
| 112 | + let threadspawn man ~multiple lval f args fman = lift_fun man lift (S.threadspawn ~multiple) ((|>) (conv fman) % (|>) args % (|>) f % (|>) lval) |
| 113 | + |
| 114 | + let paths_as_set man = |
| 115 | + let liftmap = List.map (fun x -> (x, snd man.local)) in |
| 116 | + lift_fun man liftmap S.paths_as_set Fun.id |
| 117 | + |
| 118 | + let event man e oman = |
| 119 | + lift_fun man lift S.event ((|>) (conv oman) % (|>) e) |
| 120 | +end |
| 121 | + |
| 122 | +(** Lift {!S} to use widening delay for global unknowns. *) |
| 123 | +module GLifter (S: Spec): Spec = |
| 124 | +struct |
| 125 | + module D = S.D |
| 126 | + module G = |
| 127 | + struct |
| 128 | + include Dom (S.G) (GlobalChainParams) |
| 129 | + |
| 130 | + let printXml f (b, i) = |
| 131 | + BatPrintf.fprintf f "%a<analysis name=\"widen-delay\">%a</analysis>" S.G.printXml b Chain.printXml i |
| 132 | + end |
| 133 | + module C = S.C |
| 134 | + module V = S.V |
| 135 | + module P = S.P |
| 136 | + |
| 137 | + let name () = S.name () ^ " with widening delay" |
| 138 | + |
| 139 | + type marshal = S.marshal |
| 140 | + let init = S.init |
| 141 | + let finalize = S.finalize |
| 142 | + |
| 143 | + let startstate v = S.startstate v |
| 144 | + let exitstate v = S.exitstate v |
| 145 | + let morphstate v d = S.morphstate v d |
| 146 | + |
| 147 | + let conv (man: (D.t, G.t, C.t, V.t) man): (S.D.t, S.G.t, S.C.t, S.V.t) man = |
| 148 | + { man with global = (fun v -> fst (man.global v)) |
| 149 | + ; sideg = (fun v g -> man.sideg v (g, 0)) |
| 150 | + } |
| 151 | + |
| 152 | + let context man fd d = S.context (conv man) fd d |
| 153 | + let startcontext () = S.startcontext () |
| 154 | + |
| 155 | + let lift_fun man f g h = |
| 156 | + f @@ h (g (conv man)) |
| 157 | + |
| 158 | + let lift d = d |
| 159 | + |
| 160 | + let sync man reason = lift_fun man lift S.sync ((|>) reason) |
| 161 | + let query man (type a) (q: a Queries.t): a Queries.result = S.query (conv man) q |
| 162 | + let assign man lv e = lift_fun man lift S.assign ((|>) e % (|>) lv) |
| 163 | + let vdecl man v = lift_fun man lift S.vdecl ((|>) v) |
| 164 | + let branch man e tv = lift_fun man lift S.branch ((|>) tv % (|>) e) |
| 165 | + let body man f = lift_fun man lift S.body ((|>) f) |
| 166 | + let return man r f = lift_fun man lift S.return ((|>) f % (|>) r) |
| 167 | + let asm man = lift_fun man lift S.asm identity |
| 168 | + let skip man = lift_fun man lift S.skip identity |
| 169 | + let special man r f args = lift_fun man lift S.special ((|>) args % (|>) f % (|>) r) |
| 170 | + |
| 171 | + let enter man r f args = |
| 172 | + let liftmap = List.map (Tuple2.mapn lift) in |
| 173 | + lift_fun man liftmap S.enter ((|>) args % (|>) f % (|>) r) |
| 174 | + let combine_env man r fe f args fc es f_ask = lift_fun man lift S.combine_env (fun p -> p r fe f args fc es f_ask) |
| 175 | + let combine_assign man r fe f args fc es f_ask = lift_fun man lift S.combine_assign (fun p -> p r fe f args fc es f_ask) |
| 176 | + |
| 177 | + let threadenter man ~multiple lval f args = lift_fun man (List.map lift) (S.threadenter ~multiple) ((|>) args % (|>) f % (|>) lval) |
| 178 | + let threadspawn man ~multiple lval f args fman = lift_fun man lift (S.threadspawn ~multiple) ((|>) (conv fman) % (|>) args % (|>) f % (|>) lval) |
| 179 | + |
| 180 | + let paths_as_set man = |
| 181 | + lift_fun man Fun.id S.paths_as_set Fun.id |
| 182 | + |
| 183 | + let event man e oman = |
| 184 | + lift_fun man lift S.event ((|>) (conv oman) % (|>) e) |
| 185 | +end |
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