author | haftmann |
Thu, 04 Oct 2007 19:41:49 +0200 | |
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parent 24659 | 6b7ac2a43df8 |
child 24867 | e5b55d7be9bb |
permissions | -rw-r--r-- |
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(* Title: HOL/Library/Eval.thy |
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ID: $Id$ |
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Author: Florian Haftmann, TU Muenchen |
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*) |
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header {* A simple term evaluation mechanism *} |
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theory Eval |
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imports Main Pure_term |
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begin |
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subsection {* @{text typ_of} class *} |
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class typ_of = |
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fixes typ_of :: "'a\<Colon>{} itself \<Rightarrow> typ" |
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ML {* |
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structure TypOf = |
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struct |
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val class_typ_of = Sign.intern_class @{theory} "typ_of"; |
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fun term_typ_of_type ty = |
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Const (@{const_name typ_of}, Term.itselfT ty --> @{typ typ}) |
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$ Logic.mk_type ty; |
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fun mk_typ_of_def ty = |
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let |
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val lhs = Const (@{const_name typ_of}, Term.itselfT ty --> @{typ typ}) |
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$ Free ("x", Term.itselfT ty) |
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val rhs = Pure_term.mk_typ (fn v => term_typ_of_type (TFree v)) ty |
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in Logic.mk_equals (lhs, rhs) end; |
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end; |
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*} |
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instance "prop" :: typ_of |
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"typ_of T \<equiv> STR ''prop'' {\<struct>} []" .. |
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instance itself :: (typ_of) typ_of |
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"typ_of T \<equiv> STR ''itself'' {\<struct>} [typ_of TYPE('a\<Colon>typ_of)]" .. |
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instance set :: (typ_of) typ_of |
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"typ_of T \<equiv> STR ''set'' {\<struct>} [typ_of TYPE('a\<Colon>typ_of)]" .. |
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instance int :: typ_of |
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"typ_of T \<equiv> STR ''IntDef.int'' {\<struct>} []" .. |
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setup {* |
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let |
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fun mk arities _ thy = |
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(maps (fn (tyco, asorts, _) => [(("", []), TypOf.mk_typ_of_def |
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(Type (tyco, |
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map TFree (Name.names Name.context "'a" asorts))))]) arities, thy); |
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fun hook specs = |
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DatatypeCodegen.prove_codetypes_arities (Class.intro_classes_tac []) |
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(map (fn (tyco, (is_dt, _)) => (tyco, is_dt)) specs) |
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[TypOf.class_typ_of] mk ((K o K) (fold Code.add_default_func)) |
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in DatatypeCodegen.add_codetypes_hook hook end |
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*} |
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subsection {* @{text term_of} class *} |
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class term_of = typ_of + |
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constrains typ_of :: "'a\<Colon>{} itself \<Rightarrow> typ" |
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fixes term_of :: "'a \<Rightarrow> term" |
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ML {* |
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structure TermOf = |
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struct |
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local |
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fun term_term_of ty = |
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Const (@{const_name term_of}, ty --> @{typ term}); |
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in |
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val class_term_of = Sign.intern_class @{theory} "term_of"; |
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fun mk_terms_of_defs vs (tyco, cs) = |
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let |
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val dty = Type (tyco, map TFree vs); |
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fun mk_eq c = |
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let |
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val lhs : term = term_term_of dty $ c; |
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val rhs : term = Pure_term.mk_term |
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(fn (v, ty) => term_term_of ty $ Free (v, ty)) |
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(Pure_term.mk_typ (fn (v, sort) => TypOf.term_typ_of_type (TFree (v, sort)))) c |
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in |
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HOLogic.mk_eq (lhs, rhs) |
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end; |
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in map mk_eq cs end; |
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fun mk_term_of t = |
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term_term_of (Term.fastype_of t) $ t; |
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end; |
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end; |
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*} |
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setup {* |
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let |
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fun thy_note ((name, atts), thms) = |
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PureThy.add_thmss [((name, thms), atts)] #-> (fn [thms] => pair (name, thms)); |
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fun thy_def ((name, atts), t) = |
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PureThy.add_defs_i false [((name, t), atts)] #-> (fn [thm] => pair (name, thm)); |
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fun mk arities css _ thy = |
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let |
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val (_, asorts, _) :: _ = arities; |
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val vs = Name.names Name.context "'a" asorts; |
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val defs = map (TermOf.mk_terms_of_defs vs) css; |
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val defs' = (map (pair ("", []) o ObjectLogic.ensure_propT thy) o flat) defs; |
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in |
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thy |
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|> PrimrecPackage.gen_primrec thy_note thy_def "" defs' |
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|> snd |
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end; |
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fun hook specs = |
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if null specs orelse (fst o hd) specs = (fst o dest_Type) @{typ typ} then I |
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else |
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DatatypeCodegen.prove_codetypes_arities (Class.intro_classes_tac []) |
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(map (fn (tyco, (is_dt, _)) => (tyco, is_dt)) specs) |
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[TermOf.class_term_of] ((K o K o pair) []) mk |
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in DatatypeCodegen.add_codetypes_hook hook end |
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*} |
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abbreviation |
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intT :: "typ" |
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where |
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"intT \<equiv> STR ''IntDef.int'' {\<struct>} []" |
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abbreviation |
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bitT :: "typ" |
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where |
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"bitT \<equiv> STR ''Numeral.bit'' {\<struct>} []" |
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function |
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mk_int :: "int \<Rightarrow> term" |
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where |
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"mk_int k = (if k = 0 then STR ''Numeral.Pls'' \<Colon>\<subseteq> intT |
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else if k = -1 then STR ''Numeral.Min'' \<Colon>\<subseteq> intT |
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else let (l, m) = divAlg (k, 2) |
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in STR ''Numeral.Bit'' \<Colon>\<subseteq> intT \<rightarrow> bitT \<rightarrow> intT \<bullet> mk_int l \<bullet> |
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(if m = 0 then STR ''Numeral.bit.B0'' \<Colon>\<subseteq> bitT else STR ''Numeral.bit.B1'' \<Colon>\<subseteq> bitT))" |
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by pat_completeness auto |
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termination by (relation "measure (nat o abs)") (auto simp add: divAlg_mod_div) |
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instance int :: term_of |
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"term_of k \<equiv> STR ''Numeral.number_class.number_of'' \<Colon>\<subseteq> intT \<rightarrow> intT \<bullet> mk_int k" .. |
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text {* Adaption for @{typ ml_string}s *} |
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lemmas [code func, code func del] = term_of_ml_string_def |
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subsection {* Evaluation infrastructure *} |
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ML {* |
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signature EVAL = |
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sig |
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val eval_ref: (unit -> term) option ref |
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val eval_term: theory -> term -> term |
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val evaluate: Proof.context -> term -> unit |
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val evaluate': string -> Proof.context -> term -> unit |
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val evaluate_cmd: string option -> Toplevel.state -> unit |
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end; |
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structure Eval = |
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struct |
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val eval_ref = ref (NONE : (unit -> term) option); |
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fun eval_invoke thy code ((_, ty), t) deps _ = |
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CodePackage.eval_invoke thy ("Eval.eval_ref", eval_ref) code (t, ty) []; |
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fun eval_term thy = |
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TermOf.mk_term_of |
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#> CodePackage.eval_term thy (eval_invoke thy) |
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#> Code.postprocess_term thy; |
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val evaluators = [ |
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("code", eval_term), |
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("SML", Codegen.eval_term), |
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("normal_form", Nbe.norm_term) |
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]; |
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fun gen_evaluate evaluators ctxt t = |
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let |
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val thy = ProofContext.theory_of ctxt; |
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val (evls, evl) = split_last evaluators; |
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val t' = case get_first (fn f => try (f thy) t) evls |
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of SOME t' => t' |
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| NONE => evl thy t; |
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val ty' = Term.type_of t'; |
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val p = Pretty.block [Pretty.quote (ProofContext.pretty_term ctxt t'), |
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Pretty.fbrk, Pretty.str "::", Pretty.brk 1, |
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Pretty.quote (ProofContext.pretty_typ ctxt ty')]; |
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in Pretty.writeln p end; |
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val evaluate = gen_evaluate (map snd evaluators); |
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fun evaluate' name = gen_evaluate |
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[(the o AList.lookup (op =) evaluators) name]; |
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fun evaluate_cmd some_name raw_t state = |
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let |
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val ctxt = Toplevel.context_of state; |
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val t = Syntax.read_term ctxt raw_t; |
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in case some_name |
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of NONE => evaluate ctxt t |
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| SOME name => evaluate' name ctxt t |
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end; |
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end; |
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*} |
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ML {* |
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val valueP = |
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OuterSyntax.improper_command "value" "read, evaluate and print term" OuterKeyword.diag |
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(Scan.option (OuterParse.$$$ "(" |-- OuterParse.name --| OuterParse.$$$ ")") |
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-- OuterParse.term |
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>> (fn (some_name, t) => Toplevel.no_timing o Toplevel.keep |
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(Eval.evaluate_cmd some_name t))); |
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val _ = OuterSyntax.add_parsers [valueP]; |
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*} |
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end |