author | boehmes |
Fri, 31 Jul 2009 23:30:21 +0200 | |
changeset 32297 | 3a4081abb3f7 |
parent 31599 | 97b4d289c646 |
child 32740 | 9dd0a2f83429 |
permissions | -rw-r--r-- |
30824 | 1 |
(* Title: Tools/quickcheck.ML |
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Author: Stefan Berghofer, Florian Haftmann, TU Muenchen |
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Generic counterexample search engine. |
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*) |
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signature QUICKCHECK = |
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sig |
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val auto: bool ref |
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val auto_time_limit: int ref |
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val test_term: Proof.context -> bool -> string option -> int -> int -> term -> |
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(string * term) list option |
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val add_generator: string * (Proof.context -> term -> int -> term list option) -> theory -> theory |
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val quickcheck: (string * string) list -> int -> Proof.state -> (string * term) list option |
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end; |
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structure Quickcheck : QUICKCHECK = |
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struct |
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(* preferences *) |
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val auto = ref false; |
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val auto_time_limit = ref 2500; |
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val _ = |
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ProofGeneralPgip.add_preference Preferences.category_tracing |
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(setmp auto true (fn () => |
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Preferences.bool_pref auto |
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"auto-quickcheck" |
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"Whether to enable quickcheck automatically.") ()); |
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val _ = |
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ProofGeneralPgip.add_preference Preferences.category_tracing |
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(Preferences.nat_pref auto_time_limit |
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"auto-quickcheck-time-limit" |
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"Time limit for automatic quickcheck (in milliseconds)."); |
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(* quickcheck configuration -- default parameters, test generators *) |
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datatype test_params = Test_Params of |
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{ size: int, iterations: int, default_type: typ option }; |
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fun dest_test_params (Test_Params { size, iterations, default_type }) = |
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((size, iterations), default_type); |
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fun make_test_params ((size, iterations), default_type) = |
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Test_Params { size = size, iterations = iterations, default_type = default_type }; |
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fun map_test_params f (Test_Params { size, iterations, default_type}) = |
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make_test_params (f ((size, iterations), default_type)); |
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fun merge_test_params (Test_Params { size = size1, iterations = iterations1, default_type = default_type1 }, |
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Test_Params { size = size2, iterations = iterations2, default_type = default_type2 }) = |
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make_test_params ((Int.max (size1, size2), Int.max (iterations1, iterations2)), |
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case default_type1 of NONE => default_type2 | _ => default_type1); |
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structure Data = TheoryDataFun( |
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type T = (string * (Proof.context -> term -> int -> term list option)) list |
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* test_params; |
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val empty = ([], Test_Params { size = 10, iterations = 100, default_type = NONE }); |
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val copy = I; |
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val extend = I; |
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fun merge pp ((generators1, params1), (generators2, params2)) = |
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(AList.merge (op = : string * string -> bool) (K true) (generators1, generators2), |
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merge_test_params (params1, params2)); |
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) |
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val add_generator = Data.map o apfst o AList.update (op =); |
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(* generating tests *) |
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fun mk_tester_select name ctxt = |
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case AList.lookup (op =) ((fst o Data.get o ProofContext.theory_of) ctxt) name |
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of NONE => error ("No such quickcheck generator: " ^ name) |
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| SOME generator => generator ctxt; |
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fun mk_testers ctxt t = |
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(map snd o fst o Data.get o ProofContext.theory_of) ctxt |
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|> map_filter (fn generator => try (generator ctxt) t); |
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fun mk_testers_strict ctxt t = |
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let |
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val generators = ((map snd o fst o Data.get o ProofContext.theory_of) ctxt) |
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val testers = map (fn generator => Exn.capture (generator ctxt) t) generators; |
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in if forall (is_none o Exn.get_result) testers |
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then [(Exn.release o snd o split_last) testers] |
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else map_filter Exn.get_result testers |
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end; |
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(* testing propositions *) |
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fun prep_test_term t = |
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let |
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val _ = (null (Term.add_tvars t []) andalso null (Term.add_tfrees t [])) orelse |
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error "Term to be tested contains type variables"; |
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val _ = null (Term.add_vars t []) orelse |
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error "Term to be tested contains schematic variables"; |
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val frees = Term.add_frees t []; |
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in (map fst frees, list_abs_free (frees, t)) end |
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fun test_term ctxt quiet generator_name size i t = |
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let |
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val (names, t') = prep_test_term t; |
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val testers = case generator_name |
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of NONE => if quiet then mk_testers ctxt t' else mk_testers_strict ctxt t' |
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| SOME name => [mk_tester_select name ctxt t']; |
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fun iterate f 0 = NONE |
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| iterate f j = case f () handle Match => (if quiet then () |
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else warning "Exception Match raised during quickcheck"; NONE) |
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of NONE => iterate f (j - 1) | SOME q => SOME q; |
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fun with_testers k [] = NONE |
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| with_testers k (tester :: testers) = |
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case iterate (fn () => tester (k - 1)) i |
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of NONE => with_testers k testers |
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| SOME q => SOME q; |
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fun with_size k = if k > size then NONE |
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else (if quiet then () else priority ("Test data size: " ^ string_of_int k); |
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case with_testers k testers |
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of NONE => with_size (k + 1) | SOME q => SOME q); |
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in case with_size 1 |
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of NONE => NONE |
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| SOME ts => SOME (names ~~ ts) |
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end; |
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fun monomorphic_term thy insts default_T = |
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let |
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fun subst (T as TFree (v, S)) = |
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let |
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val T' = AList.lookup (op =) insts v |
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|> the_default (the_default T default_T) |
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in if Sign.of_sort thy (T, S) then T' |
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else error ("Type " ^ Syntax.string_of_typ_global thy T ^ |
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" to be substituted for variable " ^ |
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Syntax.string_of_typ_global thy T ^ "\ndoes not have sort " ^ |
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Syntax.string_of_sort_global thy S) |
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end |
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| subst T = T; |
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in (map_types o map_atyps) subst end; |
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fun test_goal quiet generator_name size iterations default_T insts i assms state = |
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let |
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val ctxt = Proof.context_of state; |
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val thy = Proof.theory_of state; |
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fun strip (Const ("all", _) $ Abs (_, _, t)) = strip t |
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| strip t = t; |
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val (_, (_, st)) = Proof.get_goal state; |
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val (gi, frees) = Logic.goal_params (prop_of st) i; |
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val gi' = Logic.list_implies (assms, subst_bounds (frees, strip gi)) |
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|> monomorphic_term thy insts default_T |
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|> ObjectLogic.atomize_term thy; |
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in test_term ctxt quiet generator_name size iterations gi' end; |
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fun pretty_counterex ctxt NONE = Pretty.str "No counterexamples found." |
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| pretty_counterex ctxt (SOME cex) = |
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Pretty.chunks (Pretty.str "Counterexample found:\n" :: |
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map (fn (s, t) => |
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Pretty.block [Pretty.str (s ^ " ="), Pretty.brk 1, Syntax.pretty_term ctxt t]) cex); |
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(* automatic testing *) |
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val _ = Context.>> (Specification.add_theorem_hook (fn int => fn state => |
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let |
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val ctxt = Proof.context_of state; |
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val assms = map term_of (Assumption.all_assms_of ctxt); |
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val Test_Params { size, iterations, default_type } = |
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(snd o Data.get o Proof.theory_of) state; |
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fun test () = |
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let |
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val res = TimeLimit.timeLimit (Time.fromMilliseconds (!auto_time_limit)) |
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(try (test_goal true NONE size iterations default_type [] 1 assms)) state; |
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in |
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case res of |
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NONE => state |
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| SOME NONE => state |
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| SOME cex => Proof.goal_message (fn () => Pretty.chunks [Pretty.str "", |
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Pretty.mark Markup.hilite (pretty_counterex ctxt cex)]) state |
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end handle TimeLimit.TimeOut => (warning "Auto quickcheck: timeout."; state); |
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in |
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if int andalso !auto andalso not (!Toplevel.quiet) |
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then test () |
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else state |
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end)); |
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(* Isar commands *) |
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fun read_nat s = case (Library.read_int o Symbol.explode) s |
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of (k, []) => if k >= 0 then k |
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else error ("Not a natural number: " ^ s) |
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| (_, _ :: _) => error ("Not a natural number: " ^ s); |
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fun parse_test_param ctxt ("size", arg) = |
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(apfst o apfst o K) (read_nat arg) |
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| parse_test_param ctxt ("iterations", arg) = |
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(apfst o apsnd o K) (read_nat arg) |
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| parse_test_param ctxt ("default_type", arg) = |
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(apsnd o K o SOME) (ProofContext.read_typ ctxt arg) |
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| parse_test_param ctxt (name, _) = |
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error ("Bad test parameter: " ^ name); |
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fun parse_test_param_inst ctxt ("generator", arg) = |
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(apsnd o apfst o K o SOME) arg |
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| parse_test_param_inst ctxt (name, arg) = |
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case try (ProofContext.read_typ ctxt) name |
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of SOME (TFree (v, _)) => (apsnd o apsnd o AList.update (op =)) |
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(v, ProofContext.read_typ ctxt arg) |
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| _ => (apfst o parse_test_param ctxt) (name, arg); |
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fun quickcheck_params_cmd args thy = |
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let |
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val ctxt = ProofContext.init thy; |
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val f = fold (parse_test_param ctxt) args; |
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in |
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thy |
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|> (Data.map o apsnd o map_test_params) f |
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end; |
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fun quickcheck args i state = |
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let |
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val thy = Proof.theory_of state; |
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val ctxt = Proof.context_of state; |
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val default_params = (dest_test_params o snd o Data.get) thy; |
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val f = fold (parse_test_param_inst ctxt) args; |
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val (((size, iterations), default_type), (generator_name, insts)) = |
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f (default_params, (NONE, [])); |
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in |
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test_goal false generator_name size iterations default_type insts i [] state |
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end; |
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fun quickcheck_cmd args i state = |
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quickcheck args i (Toplevel.proof_of state) |
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|> Pretty.writeln o pretty_counterex (Toplevel.context_of state); |
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local structure P = OuterParse and K = OuterKeyword in |
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val parse_arg = P.name --| P.$$$ "=" -- P.name; |
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val parse_args = P.$$$ "[" |-- P.list1 parse_arg --| P.$$$ "]" |
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|| Scan.succeed []; |
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val _ = OuterSyntax.command "quickcheck_params" "set parameters for random testing" K.thy_decl |
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(parse_args >> (fn args => Toplevel.theory (quickcheck_params_cmd args))); |
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val _ = OuterSyntax.improper_command "quickcheck" "try to find counterexample for subgoal" K.diag |
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(parse_args -- Scan.optional P.nat 1 |
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>> (fn (args, i) => Toplevel.no_timing o Toplevel.keep (quickcheck_cmd args i))); |
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end; (*local*) |
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end; |
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val auto_quickcheck = Quickcheck.auto; |
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val auto_quickcheck_time_limit = Quickcheck.auto_time_limit; |