author | haftmann |
Mon, 26 Jul 2010 14:44:07 +0200 | |
changeset 37974 | d9549f9da779 |
parent 37929 | 22e0797857e6 |
child 38107 | 3a46cebd7983 |
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 setup: theory -> theory |
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(* configuration *) |
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val auto: bool Unsynchronized.ref |
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val timing : bool Unsynchronized.ref |
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datatype report = Report of |
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{ iterations : int, raised_match_errors : int, |
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satisfied_assms : int list, positive_concl_tests : int } |
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datatype expectation = No_Expectation | No_Counterexample | Counterexample; |
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datatype test_params = Test_Params of |
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{ size: int, iterations: int, default_type: typ list, no_assms: bool, |
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expect : expectation, report: bool, quiet : bool}; |
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val test_params_of: theory -> test_params |
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val add_generator: |
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string * (Proof.context -> bool -> term -> int -> term list option * (bool list * bool)) |
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-> theory -> theory |
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(* testing terms and proof states *) |
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val gen_test_term: Proof.context -> bool -> bool -> string option -> int -> int -> term -> |
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(string * term) list option * ((string * int) list * ((int * report list) list) option) |
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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 quickcheck: (string * string list) 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 = Unsynchronized.ref false; |
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val timing = Unsynchronized.ref false; |
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val _ = |
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ProofGeneralPgip.add_preference Preferences.category_tracing |
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(setmp_CRITICAL auto true (fn () => |
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Preferences.bool_pref auto |
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"auto-quickcheck" |
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"Whether to run Quickcheck automatically.") ()); |
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(* quickcheck report *) |
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datatype single_report = Run of bool list * bool | MatchExc |
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datatype report = Report of |
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{ iterations : int, raised_match_errors : int, |
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satisfied_assms : int list, positive_concl_tests : int } |
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fun collect_single_report single_report |
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(Report {iterations = iterations, raised_match_errors = raised_match_errors, |
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satisfied_assms = satisfied_assms, positive_concl_tests = positive_concl_tests}) = |
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case single_report |
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of MatchExc => |
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Report {iterations = iterations + 1, raised_match_errors = raised_match_errors + 1, |
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satisfied_assms = satisfied_assms, positive_concl_tests = positive_concl_tests} |
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| Run (assms, concl) => |
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Report {iterations = iterations + 1, raised_match_errors = raised_match_errors, |
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satisfied_assms = |
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map2 (fn b => fn s => if b then s + 1 else s) assms |
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(if null satisfied_assms then replicate (length assms) 0 else satisfied_assms), |
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positive_concl_tests = if concl then positive_concl_tests + 1 else positive_concl_tests} |
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(* expectation *) |
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datatype expectation = No_Expectation | No_Counterexample | Counterexample; |
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fun merge_expectation (expect1, expect2) = |
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if expect1 = expect2 then expect1 else No_Expectation |
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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 list, no_assms: bool, |
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expect : expectation, report: bool, quiet : bool}; |
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fun dest_test_params (Test_Params { size, iterations, default_type, no_assms, expect, report, quiet }) = |
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((size, iterations), ((default_type, no_assms), ((expect, report), quiet))); |
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fun make_test_params ((size, iterations), ((default_type, no_assms), ((expect, report), quiet))) = |
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Test_Params { size = size, iterations = iterations, default_type = default_type, |
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no_assms = no_assms, expect = expect, report = report, quiet = quiet }; |
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fun map_test_params f (Test_Params { size, iterations, default_type, no_assms, expect, report, quiet }) = |
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make_test_params (f ((size, iterations), ((default_type, no_assms), ((expect, report), quiet)))); |
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fun merge_test_params (Test_Params { size = size1, iterations = iterations1, default_type = default_type1, |
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no_assms = no_assms1, expect = expect1, report = report1, quiet = quiet1 }, |
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Test_Params { size = size2, iterations = iterations2, default_type = default_type2, |
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no_assms = no_assms2, expect = expect2, report = report2, quiet = quiet2 }) = |
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make_test_params ((Int.max (size1, size2), Int.max (iterations1, iterations2)), |
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((merge (op =) (default_type1, default_type2), no_assms1 orelse no_assms2), |
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((merge_expectation (expect1, expect2), report1 orelse report2), quiet1 orelse quiet2))); |
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structure Data = Theory_Data |
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( |
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type T = (string * (Proof.context -> bool -> term -> int -> term list option * (bool list * bool))) list |
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* test_params; |
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val empty = ([], Test_Params |
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{ size = 10, iterations = 100, default_type = [], no_assms = false, |
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expect = No_Expectation, report = false, quiet = false}); |
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val extend = I; |
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fun merge ((generators1, params1), (generators2, params2)) : T = |
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(AList.merge (op =) (K true) (generators1, generators2), |
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merge_test_params (params1, params2)); |
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); |
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val test_params_of = snd o Data.get; |
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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 report 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 report) t); |
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fun mk_testers_strict ctxt report 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 report) 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 cpu_time description f = |
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let |
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val start = start_timing () |
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val result = Exn.capture f () |
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val time = Time.toMilliseconds (#cpu (end_timing start)) |
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in (Exn.release result, (description, time)) end |
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fun gen_test_term ctxt quiet report 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, comp_time) = cpu_time "quickcheck compilation" |
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(fn () => (case generator_name |
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of NONE => if quiet then mk_testers ctxt report t' else mk_testers_strict ctxt report t' |
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| SOME name => [mk_tester_select name ctxt report t'])); |
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fun iterate f 0 report = (NONE, report) |
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| iterate f j report = |
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let |
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val (test_result, single_report) = apsnd Run (f ()) handle Match => (if quiet then () |
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else warning "Exception Match raised during quickcheck"; (NONE, MatchExc)) |
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val report = collect_single_report single_report report |
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167 |
in |
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case test_result of NONE => iterate f (j - 1) report | SOME q => (SOME q, report) |
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169 |
end |
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val empty_report = Report { iterations = 0, raised_match_errors = 0, |
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satisfied_assms = [], positive_concl_tests = 0 } |
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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 empty_report |
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of (NONE, report) => apsnd (cons report) (with_testers k testers) |
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| (SOME q, report) => (SOME q, [report]); |
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fun with_size k reports = if k > size then (NONE, reports) |
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else (if quiet then () else priority ("Test data size: " ^ string_of_int k); |
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let |
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val (result, new_report) = with_testers k testers |
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val reports = ((k, new_report) :: reports) |
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in case result of NONE => with_size (k + 1) reports | SOME q => (SOME q, reports) end); |
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val ((result, reports), exec_time) = cpu_time "quickcheck execution" |
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(fn () => apfst |
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(fn result => case result of NONE => NONE |
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| SOME ts => SOME (names ~~ ts)) (with_size 1 [])) |
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187 |
in |
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(result, ([exec_time, comp_time], if report then SOME reports else NONE)) |
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end; |
190 |
||
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fun test_term ctxt quiet generator_name size i t = |
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fst (gen_test_term ctxt quiet false generator_name size i t) |
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193 |
|
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exception WELLSORTED of string |
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195 |
|
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fun monomorphic_term thy insts default_T = |
197 |
let |
|
198 |
fun subst (T as TFree (v, S)) = |
|
199 |
let |
|
200 |
val T' = AList.lookup (op =) insts v |
|
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|> the_default default_T |
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in if Sign.of_sort thy (T', S) then T' |
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else raise (WELLSORTED ("For instantiation with default_type " ^ Syntax.string_of_typ_global thy default_T ^ |
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":\n" ^ 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 ^ " does not have sort " ^ |
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Syntax.string_of_sort_global thy S)) |
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end |
209 |
| subst T = T; |
|
210 |
in (map_types o map_atyps) subst end; |
|
211 |
||
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datatype wellsorted_error = Wellsorted_Error of string | Term of term |
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213 |
|
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fun test_goal quiet report generator_name size iterations default_Ts no_assms insts i state = |
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let |
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val lthy = Proof.context_of state; |
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val thy = Proof.theory_of state; |
218 |
fun strip (Const ("all", _) $ Abs (_, _, t)) = strip t |
|
219 |
| strip t = t; |
|
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val {goal = st, ...} = Proof.raw_goal state; |
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val (gi, frees) = Logic.goal_params (prop_of st) i; |
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val some_locale = case (#target o Theory_Target.peek) lthy |
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of "" => NONE |
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| locale => SOME locale; |
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val assms = if no_assms then [] else case some_locale |
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of NONE => Assumption.all_assms_of lthy |
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| SOME locale => Assumption.local_assms_of lthy (Locale.init locale thy); |
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val proto_goal = Logic.list_implies (map Thm.term_of assms, subst_bounds (frees, strip gi)); |
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229 |
val check_goals = case some_locale |
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of NONE => [proto_goal] |
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| SOME locale => map (fn phi => Morphism.term phi proto_goal) (Locale.get_registrations thy locale); |
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232 |
val inst_goals = maps (fn check_goal => map (fn T => |
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233 |
Term ((Object_Logic.atomize_term thy o monomorphic_term thy insts T) check_goal) |
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handle WELLSORTED s => Wellsorted_Error s) default_Ts) check_goals |
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val error_msg = cat_lines (map_filter (fn Term t => NONE | Wellsorted_Error s => SOME s) inst_goals) |
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val correct_inst_goals = |
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case map_filter (fn Term t => SOME t | Wellsorted_Error s => NONE) inst_goals of |
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[] => error error_msg |
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239 |
| xs => xs |
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240 |
val _ = if quiet then () else warning error_msg |
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fun collect_results f reports [] = (NONE, rev reports) |
242 |
| collect_results f reports (t :: ts) = |
|
243 |
case f t of |
|
244 |
(SOME res, report) => (SOME res, rev (report :: reports)) |
|
245 |
| (NONE, report) => collect_results f (report :: reports) ts |
|
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246 |
in collect_results (gen_test_term lthy quiet report generator_name size iterations) [] correct_inst_goals end; |
37912 | 247 |
|
248 |
(* pretty printing *) |
|
28315 | 249 |
|
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250 |
fun pretty_counterex ctxt NONE = Pretty.str "Quickcheck found no counterexample." |
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| pretty_counterex ctxt (SOME cex) = |
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252 |
Pretty.chunks (Pretty.str "Quickcheck found a counterexample:\n" :: |
28315 | 253 |
map (fn (s, t) => |
254 |
Pretty.block [Pretty.str (s ^ " ="), Pretty.brk 1, Syntax.pretty_term ctxt t]) cex); |
|
255 |
||
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256 |
fun pretty_report (Report {iterations = iterations, raised_match_errors = raised_match_errors, |
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257 |
satisfied_assms = satisfied_assms, positive_concl_tests = positive_concl_tests}) = |
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|
258 |
let |
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|
259 |
fun pretty_stat s i = Pretty.block ([Pretty.str (s ^ ": " ^ string_of_int i)]) |
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|
260 |
in |
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|
261 |
([pretty_stat "iterations" iterations, |
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|
262 |
pretty_stat "match exceptions" raised_match_errors] |
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|
263 |
@ map_index (fn (i, n) => pretty_stat ("satisfied " ^ string_of_int (i + 1) ^ ". assumption") n) |
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|
264 |
satisfied_assms |
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265 |
@ [pretty_stat "positive conclusion tests" positive_concl_tests]) |
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|
266 |
end |
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|
267 |
|
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268 |
fun pretty_reports' [report] = [Pretty.chunks (pretty_report report)] |
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269 |
| pretty_reports' reports = |
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|
270 |
map_index (fn (i, report) => |
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|
271 |
Pretty.chunks (Pretty.str (string_of_int (i + 1) ^ ". generator:\n") :: pretty_report report)) |
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|
272 |
reports |
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273 |
|
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274 |
fun pretty_reports ctxt (SOME reports) = |
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275 |
Pretty.chunks (Pretty.str "Quickcheck report:" :: |
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|
276 |
maps (fn (size, reports) => |
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|
277 |
Pretty.str ("size " ^ string_of_int size ^ ":") :: pretty_reports' reports @ [Pretty.brk 1]) |
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|
278 |
(rev reports)) |
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279 |
| pretty_reports ctxt NONE = Pretty.str "" |
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280 |
|
37912 | 281 |
fun pretty_counterex_and_reports ctxt (cex, timing_and_reports) = |
282 |
Pretty.chunks (pretty_counterex ctxt cex :: map (pretty_reports ctxt) (map snd timing_and_reports)) |
|
28315 | 283 |
|
284 |
(* automatic testing *) |
|
28309 | 285 |
|
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286 |
fun auto_quickcheck state = |
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287 |
if not (!auto) then |
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|
288 |
(false, state) |
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|
289 |
else |
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290 |
let |
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|
291 |
val ctxt = Proof.context_of state; |
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292 |
val Test_Params {size, iterations, default_type, no_assms, ...} = |
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293 |
(snd o Data.get o Proof.theory_of) state; |
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|
294 |
val res = |
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295 |
try (test_goal true false NONE size iterations default_type no_assms [] 1) state; |
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|
296 |
in |
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|
297 |
case res of |
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|
298 |
NONE => (false, state) |
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|
299 |
| SOME (NONE, report) => (false, state) |
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|
300 |
| SOME (cex, report) => (true, Proof.goal_message (K (Pretty.chunks [Pretty.str "", |
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|
301 |
Pretty.mark Markup.hilite (pretty_counterex ctxt cex)])) state) |
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|
302 |
end |
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|
303 |
|
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|
304 |
val setup = Auto_Counterexample.register_tool ("quickcheck", auto_quickcheck) |
28315 | 305 |
|
306 |
||
30980 | 307 |
(* Isar commands *) |
28315 | 308 |
|
28336 | 309 |
fun read_nat s = case (Library.read_int o Symbol.explode) s |
310 |
of (k, []) => if k >= 0 then k |
|
311 |
else error ("Not a natural number: " ^ s) |
|
312 |
| (_, _ :: _) => error ("Not a natural number: " ^ s); |
|
37909
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|
313 |
|
34128
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|
314 |
fun read_bool "false" = false |
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|
315 |
| read_bool "true" = true |
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|
316 |
| read_bool s = error ("Not a Boolean value: " ^ s) |
28315 | 317 |
|
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|
318 |
fun read_expectation "no_expectation" = No_Expectation |
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|
319 |
| read_expectation "no_counterexample" = No_Counterexample |
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|
320 |
| read_expectation "counterexample" = Counterexample |
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|
321 |
| read_expectation s = error ("Not an expectation value: " ^ s) |
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|
322 |
|
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|
323 |
fun parse_test_param ctxt ("size", [arg]) = |
28336 | 324 |
(apfst o apfst o K) (read_nat arg) |
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|
325 |
| parse_test_param ctxt ("iterations", [arg]) = |
28336 | 326 |
(apfst o apsnd o K) (read_nat arg) |
327 |
| parse_test_param ctxt ("default_type", arg) = |
|
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|
328 |
(apsnd o apfst o apfst o K) (map (ProofContext.read_typ ctxt) arg) |
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diff
changeset
|
329 |
| parse_test_param ctxt ("no_assms", [arg]) = |
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diff
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|
330 |
(apsnd o apfst o apsnd o K) (read_bool arg) |
37929
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changeset
|
331 |
| parse_test_param ctxt ("expect", [arg]) = |
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parents:
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diff
changeset
|
332 |
(apsnd o apsnd o apfst o apfst o K) (read_expectation arg) |
37909
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parents:
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diff
changeset
|
333 |
| parse_test_param ctxt ("report", [arg]) = |
37929
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parents:
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diff
changeset
|
334 |
(apsnd o apsnd o apfst o apsnd o K) (read_bool arg) |
37909
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bulwahn
parents:
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diff
changeset
|
335 |
| parse_test_param ctxt ("quiet", [arg]) = |
37929
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adding checking of expected result for the tool quickcheck; annotated a few quickcheck examples
bulwahn
parents:
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diff
changeset
|
336 |
(apsnd o apsnd o apsnd o K) (read_bool arg) |
28336 | 337 |
| parse_test_param ctxt (name, _) = |
34128
8650a073dd9b
made Quickcheck take structured proof assumptions into account (like Refute and Nitpick) by default;
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parents:
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diff
changeset
|
338 |
error ("Unknown test parameter: " ^ name); |
28315 | 339 |
|
37909
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diff
changeset
|
340 |
fun parse_test_param_inst ctxt ("generator", [arg]) = |
28336 | 341 |
(apsnd o apfst o K o SOME) arg |
342 |
| parse_test_param_inst ctxt (name, arg) = |
|
343 |
case try (ProofContext.read_typ ctxt) name |
|
344 |
of SOME (TFree (v, _)) => (apsnd o apsnd o AList.update (op =)) |
|
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parents:
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diff
changeset
|
345 |
(v, ProofContext.read_typ ctxt (the_single arg)) |
28336 | 346 |
| _ => (apfst o parse_test_param ctxt) (name, arg); |
28309 | 347 |
|
28336 | 348 |
fun quickcheck_params_cmd args thy = |
28315 | 349 |
let |
36610
bafd82950e24
renamed ProofContext.init to ProofContext.init_global to emphasize that this is not the real thing;
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parents:
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diff
changeset
|
350 |
val ctxt = ProofContext.init_global thy; |
28336 | 351 |
val f = fold (parse_test_param ctxt) args; |
28315 | 352 |
in |
353 |
thy |
|
28336 | 354 |
|> (Data.map o apsnd o map_test_params) f |
28315 | 355 |
end; |
356 |
||
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diff
changeset
|
357 |
fun gen_quickcheck args i state = |
28315 | 358 |
let |
32297 | 359 |
val thy = Proof.theory_of state; |
360 |
val ctxt = Proof.context_of state; |
|
28315 | 361 |
val default_params = (dest_test_params o snd o Data.get) thy; |
28336 | 362 |
val f = fold (parse_test_param_inst ctxt) args; |
37929
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adding checking of expected result for the tool quickcheck; annotated a few quickcheck examples
bulwahn
parents:
37913
diff
changeset
|
363 |
val (((size, iterations), ((default_type, no_assms), ((expect, report), quiet))), (generator_name, insts)) = |
28336 | 364 |
f (default_params, (NONE, [])); |
32297 | 365 |
in |
37974
d9549f9da779
quickcheck images of goals under registration morphisms
haftmann
parents:
37929
diff
changeset
|
366 |
test_goal quiet report generator_name size iterations default_type no_assms insts i state |
37929
22e0797857e6
adding checking of expected result for the tool quickcheck; annotated a few quickcheck examples
bulwahn
parents:
37913
diff
changeset
|
367 |
|> tap (fn (SOME x, _) => if expect = No_Counterexample then |
37974
d9549f9da779
quickcheck images of goals under registration morphisms
haftmann
parents:
37929
diff
changeset
|
368 |
error ("quickcheck expected to find no counterexample but found one") else () |
37929
22e0797857e6
adding checking of expected result for the tool quickcheck; annotated a few quickcheck examples
bulwahn
parents:
37913
diff
changeset
|
369 |
| (NONE, _) => if expect = Counterexample then |
22e0797857e6
adding checking of expected result for the tool quickcheck; annotated a few quickcheck examples
bulwahn
parents:
37913
diff
changeset
|
370 |
error ("quickcheck expected to find a counterexample but did not find one") else ()) |
32297 | 371 |
end; |
372 |
||
36960
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prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents:
36610
diff
changeset
|
373 |
fun quickcheck args i state = fst (gen_quickcheck args i state); |
35378
95d0e3adf38e
added basic reporting of test cases to quickcheck
bulwahn
parents:
35324
diff
changeset
|
374 |
|
32297 | 375 |
fun quickcheck_cmd args i state = |
35378
95d0e3adf38e
added basic reporting of test cases to quickcheck
bulwahn
parents:
35324
diff
changeset
|
376 |
gen_quickcheck args i (Toplevel.proof_of state) |
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added basic reporting of test cases to quickcheck
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parents:
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diff
changeset
|
377 |
|> Pretty.writeln o pretty_counterex_and_reports (Toplevel.context_of state); |
28309 | 378 |
|
37909
583543ad6ad1
changed default types to a list of types; extended quickcheck parameters to be a list of values to parse a list of default types
bulwahn
parents:
36960
diff
changeset
|
379 |
val parse_arg = Parse.name -- (Scan.optional (Parse.$$$ "=" |-- |
583543ad6ad1
changed default types to a list of types; extended quickcheck parameters to be a list of values to parse a list of default types
bulwahn
parents:
36960
diff
changeset
|
380 |
((Parse.name >> single) || (Parse.$$$ "[" |-- Parse.list1 Parse.name --| Parse.$$$ "]"))) ["true"]); |
28309 | 381 |
|
36960
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prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents:
36610
diff
changeset
|
382 |
val parse_args = Parse.$$$ "[" |-- Parse.list1 parse_arg --| Parse.$$$ "]" |
28336 | 383 |
|| Scan.succeed []; |
384 |
||
36960
01594f816e3a
prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents:
36610
diff
changeset
|
385 |
val _ = |
01594f816e3a
prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents:
36610
diff
changeset
|
386 |
Outer_Syntax.command "quickcheck_params" "set parameters for random testing" Keyword.thy_decl |
01594f816e3a
prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents:
36610
diff
changeset
|
387 |
(parse_args >> (fn args => Toplevel.theory (quickcheck_params_cmd args))); |
28309 | 388 |
|
36960
01594f816e3a
prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents:
36610
diff
changeset
|
389 |
val _ = |
01594f816e3a
prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents:
36610
diff
changeset
|
390 |
Outer_Syntax.improper_command "quickcheck" "try to find counterexample for subgoal" Keyword.diag |
01594f816e3a
prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents:
36610
diff
changeset
|
391 |
(parse_args -- Scan.optional Parse.nat 1 |
01594f816e3a
prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents:
36610
diff
changeset
|
392 |
>> (fn (args, i) => Toplevel.no_timing o Toplevel.keep (quickcheck_cmd args i))); |
28309 | 393 |
|
28315 | 394 |
end; |
28309 | 395 |
|
396 |
||
28315 | 397 |
val auto_quickcheck = Quickcheck.auto; |