src/HOL/Tools/Quickcheck/narrowing_generators.ML
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Tue, 31 May 2011 15:45:27 +0200
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Quickcheck Narrowing only requires one compilation with GHC now
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(*  Title:      HOL/Tools/Quickcheck/narrowing_generators.ML
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    Author:     Lukas Bulwahn, TU Muenchen
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Narrowing-based counterexample generation.
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*)
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signature NARROWING_GENERATORS =
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sig
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  val test_term: Proof.context -> bool * bool -> term * term list -> Quickcheck.result
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  val put_counterexample: (unit -> term list option) -> Proof.context -> Proof.context
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  val finite_functions : bool Config.T
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  val overlord : bool Config.T
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  val setup: theory -> theory
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end;
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structure Narrowing_Generators : NARROWING_GENERATORS =
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struct
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(* configurations *)
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val finite_functions = Attrib.setup_config_bool @{binding quickcheck_finite_functions} (K true)
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val overlord = Attrib.setup_config_bool @{binding quickcheck_narrowing_overlord} (K false)
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(* partial_term_of instances *)
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fun mk_partial_term_of (x, T) =
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  Const (@{const_name Quickcheck_Narrowing.partial_term_of_class.partial_term_of},
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    Term.itselfT T --> @{typ narrowing_term} --> @{typ Code_Evaluation.term})
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      $ Const ("TYPE", Term.itselfT T) $ x
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(** formal definition **)
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fun add_partial_term_of tyco raw_vs thy =
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  let
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    val vs = map (fn (v, _) => (v, @{sort typerep})) raw_vs;
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    val ty = Type (tyco, map TFree vs);
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    val lhs = Const (@{const_name partial_term_of},
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        Term.itselfT ty --> @{typ narrowing_term} --> @{typ Code_Evaluation.term})
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      $ Free ("x", Term.itselfT ty) $ Free ("t", @{typ narrowing_term});
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    val rhs = @{term "undefined :: Code_Evaluation.term"};
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    val eq = HOLogic.mk_Trueprop (HOLogic.mk_eq (lhs, rhs));
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    fun triv_name_of t = (fst o dest_Free o fst o strip_comb o fst
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      o HOLogic.dest_eq o HOLogic.dest_Trueprop) t ^ "_triv";
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  in
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    thy
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    |> Class.instantiation ([tyco], vs, @{sort partial_term_of})
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    |> `(fn lthy => Syntax.check_term lthy eq)
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    |-> (fn eq => Specification.definition (NONE, ((Binding.name (triv_name_of eq), []), eq)))
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    |> snd
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    |> Class.prove_instantiation_exit (K (Class.intro_classes_tac []))
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  end;
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fun ensure_partial_term_of (tyco, (raw_vs, _)) thy =
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  let
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    val need_inst = not (can (Sorts.mg_domain (Sign.classes_of thy) tyco) @{sort partial_term_of})
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      andalso can (Sorts.mg_domain (Sign.classes_of thy) tyco) @{sort typerep};
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  in if need_inst then add_partial_term_of tyco raw_vs thy else thy end;
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(** code equations for datatypes **)
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fun mk_partial_term_of_eq thy ty (i, (c, (_, tys))) =
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  let
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    val frees = map Free (Name.names Name.context "a" (map (K @{typ narrowing_term}) tys))
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    val narrowing_term = @{term "Quickcheck_Narrowing.Ctr"} $ HOLogic.mk_number @{typ code_int} i
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      $ (HOLogic.mk_list @{typ narrowing_term} (rev frees))
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    val rhs = fold (fn u => fn t => @{term "Code_Evaluation.App"} $ t $ u)
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        (map mk_partial_term_of (frees ~~ tys))
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        (@{term "Code_Evaluation.Const"} $ HOLogic.mk_literal c $ HOLogic.mk_typerep (tys ---> ty))
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    val insts =
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      map (SOME o Thm.cterm_of thy o map_types Logic.unvarifyT_global o Logic.varify_global)
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        [Free ("ty", Term.itselfT ty), narrowing_term, rhs]
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    val cty = Thm.ctyp_of thy ty;
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  in
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    @{thm partial_term_of_anything}
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    |> Drule.instantiate' [SOME cty] insts
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    |> Thm.varifyT_global
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  end
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fun add_partial_term_of_code tyco raw_vs raw_cs thy =
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  let
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    val algebra = Sign.classes_of thy;
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    val vs = map (fn (v, sort) =>
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      (v, curry (Sorts.inter_sort algebra) @{sort typerep} sort)) raw_vs;
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    val ty = Type (tyco, map TFree vs);
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    val cs = (map o apsnd o apsnd o map o map_atyps)
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      (fn TFree (v, _) => TFree (v, (the o AList.lookup (op =) vs) v)) raw_cs;
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    val const = AxClass.param_of_inst thy (@{const_name partial_term_of}, tyco);
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    val var_insts = map (SOME o Thm.cterm_of thy o map_types Logic.unvarifyT_global o Logic.varify_global)
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        [Free ("ty", Term.itselfT ty), @{term "Quickcheck_Narrowing.Var p tt"},
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          @{term "Code_Evaluation.Free (STR ''_'')"} $ HOLogic.mk_typerep ty]
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    val var_eq =
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      @{thm partial_term_of_anything}
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      |> Drule.instantiate' [SOME (Thm.ctyp_of thy ty)] var_insts
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      |> Thm.varifyT_global
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    val eqs = var_eq :: map_index (mk_partial_term_of_eq thy ty) cs;
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 in
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    thy
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    |> Code.del_eqns const
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    |> fold Code.add_eqn eqs
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  end;
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fun ensure_partial_term_of_code (tyco, (raw_vs, cs)) thy =
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  let
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    val has_inst = can (Sorts.mg_domain (Sign.classes_of thy) tyco) @{sort partial_term_of};
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  in if has_inst then add_partial_term_of_code tyco raw_vs cs thy else thy end;
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(* narrowing generators *)
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(** narrowing specific names and types **)
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exception FUNCTION_TYPE;
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val narrowingN = "narrowing";
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fun narrowingT T =
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  @{typ Quickcheck_Narrowing.code_int} --> Type (@{type_name Quickcheck_Narrowing.cons}, [T])
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fun mk_empty T = Const (@{const_name Quickcheck_Narrowing.empty}, narrowingT T)
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fun mk_cons c T = Const (@{const_name Quickcheck_Narrowing.cons}, T --> narrowingT T) $ Const (c, T)
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fun mk_apply (T, t) (U, u) =
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  let
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    val (_, U') = dest_funT U
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  in
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    (U', Const (@{const_name Quickcheck_Narrowing.apply},
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      narrowingT U --> narrowingT T --> narrowingT U') $ u $ t)
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  end
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fun mk_sum (t, u) =
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  let
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    val T = fastype_of t
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  in
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    Const (@{const_name Quickcheck_Narrowing.sum}, T --> T --> T) $ t $ u
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  end
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(** deriving narrowing instances **)
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fun mk_equations descr vs tycos narrowings (Ts, Us) =
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  let
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    fun mk_call T =
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      (T, Const (@{const_name "Quickcheck_Narrowing.narrowing_class.narrowing"}, narrowingT T))
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    fun mk_aux_call fTs (k, _) (tyco, Ts) =
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      let
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        val T = Type (tyco, Ts)
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        val _ = if not (null fTs) then raise FUNCTION_TYPE else ()
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      in
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        (T, nth narrowings k)
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      end
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    fun mk_consexpr simpleT (c, xs) =
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      let
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        val Ts = map fst xs
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      in snd (fold mk_apply xs (Ts ---> simpleT, mk_cons c (Ts ---> simpleT))) end
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    fun mk_rhs exprs = foldr1 mk_sum exprs
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    val rhss =
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      Datatype_Aux.interpret_construction descr vs
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        { atyp = mk_call, dtyp = mk_aux_call }
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      |> (map o apfst) Type
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      |> map (fn (T, cs) => map (mk_consexpr T) cs)
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      |> map mk_rhs
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    val lhss = narrowings
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    val eqs = map (HOLogic.mk_Trueprop o HOLogic.mk_eq) (lhss ~~ rhss)
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  in
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    eqs
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  end
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fun instantiate_narrowing_datatype config descr vs tycos prfx (names, auxnames) (Ts, Us) thy =
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  let
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    val _ = Datatype_Aux.message config "Creating narrowing generators ...";
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    val narrowingsN = map (prefix (narrowingN ^ "_")) (names @ auxnames);
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  in
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    thy
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    |> Class.instantiation (tycos, vs, @{sort narrowing})
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    |> Quickcheck_Common.define_functions
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      (fn narrowings => mk_equations descr vs tycos narrowings (Ts, Us), NONE)
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      prfx [] narrowingsN (map narrowingT (Ts @ Us))
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    |> Class.prove_instantiation_exit (K (Class.intro_classes_tac []))
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  end;
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(* testing framework *)
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val target = "Haskell"
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(** invocation of Haskell interpreter **)
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val narrowing_engine = File.read (Path.explode "~~/src/HOL/Tools/Quickcheck/Narrowing_Engine.hs")
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fun exec verbose code =
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  ML_Context.exec (fn () => Secure.use_text ML_Env.local_context (0, "generated code") verbose code)
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fun with_overlord_dir name f =
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  let
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    val path = Path.append (Path.explode "~/.isabelle") (Path.basic (name ^ serial_string ()))
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    val _ = Isabelle_System.mkdirs path;
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  in Exn.release (Exn.capture f path) end;
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fun value ctxt (get, put, put_ml) (code, value_name) =
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  let
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    fun message s = if Config.get ctxt Quickcheck.quiet then () else Output.urgent_message s
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    val tmp_prefix = "Quickcheck_Narrowing"
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    val with_tmp_dir =
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      if Config.get ctxt overlord then with_overlord_dir else Isabelle_System.with_tmp_dir 
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    fun run in_path = 
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      let
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        val code_file = Path.append in_path (Path.basic "Code.hs")
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        val narrowing_engine_file = Path.append in_path (Path.basic "Narrowing_Engine.hs")
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        val main_file = Path.append in_path (Path.basic "Main.hs")
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        val main = "module Main where {\n\n" ^
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          "import System;\n" ^
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          "import Narrowing_Engine;\n" ^
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          "import Code;\n\n" ^
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          "main = getArgs >>= \\[size] -> Narrowing_Engine.depthCheck (read size) (Code.value ())\n\n" ^
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          "}\n"
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        val code' = prefix "module Code where {\n\ndata Typerep = Typerep String [Typerep];\n"
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          (unprefix "module Code where {" code)
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        val _ = File.write code_file code'
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        val _ = File.write narrowing_engine_file narrowing_engine
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        val _ = File.write main_file main
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        val executable = File.shell_path (Path.append in_path (Path.basic "isabelle_quickcheck_narrowing"))
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        val cmd = "exec \"$ISABELLE_GHC\" -fglasgow-exts " ^
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          (space_implode " " (map File.shell_path [code_file, narrowing_engine_file, main_file])) ^
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          " -o " ^ executable ^ ";"
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        val _ = if bash cmd <> 0 then
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          error "Compilation failed!"
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        else
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          ()
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        fun with_size k =
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          if k > Config.get ctxt Quickcheck.size then
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            NONE
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          else
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            let
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              val _ = message ("Test data size: " ^ string_of_int k)
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              val (response, _) = bash_output (executable ^ " " ^ string_of_int k)
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            in
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              if response = "NONE\n" then with_size (k + 1) else SOME response
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            end
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      in case with_size 0 of
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           NONE => NONE
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         | SOME response =>
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           let
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             val output_value = the_default "NONE"
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               (try (snd o split_last o filter_out (fn s => s = "") o split_lines) response)
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               |> translate_string (fn s => if s = "\\" then "\\\\" else s)
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             val ml_code = "\nval _ = Context.set_thread_data (SOME (Context.map_proof (" ^ put_ml
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               ^ " (fn () => " ^ output_value ^ ")) (ML_Context.the_generic_context ())))";
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             val ctxt' = ctxt
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               |> put (fn () => error ("Bad evaluation for " ^ quote put_ml))
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               |> Context.proof_map (exec false ml_code);
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           in get ctxt' () end     
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      end
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  in with_tmp_dir tmp_prefix run end;
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fun dynamic_value_strict cookie thy postproc t =
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  let
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    val ctxt = Proof_Context.init_global thy
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    fun evaluator naming program ((_, vs_ty), t) deps = Exn.interruptible_capture (value ctxt cookie)
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      (Code_Target.evaluator thy target naming program deps (vs_ty, t));    
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  in Exn.release (Code_Thingol.dynamic_value thy (Exn.map_result o postproc) evaluator t) end;
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(** counterexample generator **)
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structure Counterexample = Proof_Data
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(
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  type T = unit -> term list option
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  fun init _ () = error "Counterexample"
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)
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val put_counterexample = Counterexample.put
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fun finitize_functions t =
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  let
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    val ((names, Ts), t') = apfst split_list (strip_abs t)
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    fun mk_eval_ffun dT rT =
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      Const (@{const_name "Quickcheck_Narrowing.eval_ffun"}, 
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        Type (@{type_name "Quickcheck_Narrowing.ffun"}, [dT, rT]) --> dT --> rT)
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    fun mk_eval_cfun dT rT =
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      Const (@{const_name "Quickcheck_Narrowing.eval_cfun"}, 
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        Type (@{type_name "Quickcheck_Narrowing.cfun"}, [rT]) --> dT --> rT)
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    fun eval_function (T as Type (@{type_name fun}, [dT, rT])) =
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      let
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        val (rt', rT') = eval_function rT
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      in
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        case dT of
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          Type (@{type_name fun}, _) =>
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            (fn t => absdummy (dT, rt' (mk_eval_cfun dT rT' $ incr_boundvars 1 t $ Bound 0)),
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            Type (@{type_name "Quickcheck_Narrowing.cfun"}, [rT']))
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        | _ => (fn t => absdummy (dT, rt' (mk_eval_ffun dT rT' $ incr_boundvars 1 t $ Bound 0)),
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            Type (@{type_name "Quickcheck_Narrowing.ffun"}, [dT, rT']))
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      end
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      | eval_function T = (I, T)
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    val (tt, Ts') = split_list (map eval_function Ts)
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    val t'' = subst_bounds (map2 (fn f => fn x => f x) (rev tt) (map_index (Bound o fst) Ts), t')
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  in
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    list_abs (names ~~ Ts', t'')
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  end
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(** tester **)
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fun test_term  ctxt (limit_time, is_interactive) (t, eval_terms) =
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  let
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    val thy = Proof_Context.theory_of ctxt
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    val t' = list_abs_free (Term.add_frees t [], t)
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    val t'' = if Config.get ctxt finite_functions then finitize_functions t' else t'
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    fun ensure_testable t =
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      Const (@{const_name Quickcheck_Narrowing.ensure_testable}, fastype_of t --> fastype_of t) $ t
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    val result = dynamic_value_strict
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      (Counterexample.get, Counterexample.put, "Narrowing_Generators.put_counterexample")
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      thy (Option.map o map) (ensure_testable t'')
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  in
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    Quickcheck.Result {counterexample = Option.map ((curry (op ~~)) (Term.add_free_names t [])) result,
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      evaluation_terms = Option.map (K []) result, timings = [], reports = []}
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  end;
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fun test_goals ctxt (limit_time, is_interactive) insts goals =
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  let
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    val correct_inst_goals = Quickcheck.instantiate_goals ctxt insts goals
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  in
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    if Config.get ctxt Quickcheck.finite_types then
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      error "Quickcheck-Narrowing does not support finite_types"
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    else
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      Quickcheck.collect_results (test_term ctxt (limit_time, is_interactive)) (maps (map snd) correct_inst_goals) []
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  end
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(* setup *)
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val setup =
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  Code.datatype_interpretation ensure_partial_term_of
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  #> Code.datatype_interpretation ensure_partial_term_of_code
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  #> Datatype.interpretation (Quickcheck_Common.ensure_sort_datatype
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    (((@{sort typerep}, @{sort term_of}), @{sort narrowing}), instantiate_narrowing_datatype))
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  #> Context.theory_map (Quickcheck.add_tester ("narrowing", test_goals))
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end;