src/Tools/nbe.ML
author haftmann
Wed May 19 10:14:37 2010 +0200 (2010-05-19)
changeset 36982 1d4478a797c2
parent 36960 01594f816e3a
child 37145 01aa36932739
permissions -rw-r--r--
new version of triv_of_class machinery without legacy_unconstrain
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(*  Title:      Tools/nbe.ML
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    Authors:    Klaus Aehlig, LMU Muenchen; Tobias Nipkow, Florian Haftmann, TU Muenchen
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Normalization by evaluation, based on generic code generator.
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*)
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signature NBE =
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sig
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  val norm_conv: cterm -> thm
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  val norm: theory -> term -> term
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  datatype Univ =
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      Const of int * Univ list               (*named (uninterpreted) constants*)
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    | DFree of string * int                  (*free (uninterpreted) dictionary parameters*)
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    | BVar of int * Univ list
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    | Abs of (int * (Univ list -> Univ)) * Univ list
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  val apps: Univ -> Univ list -> Univ        (*explicit applications*)
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  val abss: int -> (Univ list -> Univ) -> Univ
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                                             (*abstractions as closures*)
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  val same: Univ -> Univ -> bool
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  val univs_ref: (unit -> Univ list -> Univ list) option Unsynchronized.ref
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  val trace: bool Unsynchronized.ref
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  val setup: theory -> theory
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  val add_const_alias: thm -> theory -> theory
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end;
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structure Nbe: NBE =
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struct
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(* generic non-sense *)
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val trace = Unsynchronized.ref false;
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fun traced f x = if !trace then (tracing (f x); x) else x;
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(** certificates and oracle for "trivial type classes" **)
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structure Triv_Class_Data = Theory_Data
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(
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  type T = (class * thm) list;
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  val empty = [];
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  val extend = I;
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  fun merge data : T = AList.merge (op =) (K true) data;
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);
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fun add_const_alias thm thy =
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  let
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    val (ofclass, eqn) = case try Logic.dest_equals (Thm.prop_of thm)
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     of SOME ofclass_eq => ofclass_eq
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      | _ => error ("Bad certificate: " ^ Display.string_of_thm_global thy thm);
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    val (T, class) = case try Logic.dest_of_class ofclass
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     of SOME T_class => T_class
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      | _ => error ("Bad certificate: " ^ Display.string_of_thm_global thy thm);
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    val tvar = case try Term.dest_TVar T
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     of SOME (tvar as (_, sort)) => if null (filter (can (AxClass.get_info thy)) sort)
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          then tvar
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          else error ("Bad sort: " ^ Display.string_of_thm_global thy thm)
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      | _ => error ("Bad type: " ^ Display.string_of_thm_global thy thm);
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    val _ = if Term.add_tvars eqn [] = [tvar] then ()
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      else error ("Inconsistent type: " ^ Display.string_of_thm_global thy thm);
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    val lhs_rhs = case try Logic.dest_equals eqn
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     of SOME lhs_rhs => lhs_rhs
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      | _ => error ("Not an equation: " ^ Syntax.string_of_term_global thy eqn);
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    val c_c' = case try (pairself (Code.check_const thy)) lhs_rhs
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     of SOME c_c' => c_c'
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      | _ => error ("Not an equation with two constants: "
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          ^ Syntax.string_of_term_global thy eqn);
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    val _ = if the_list (AxClass.class_of_param thy (snd c_c')) = [class] then ()
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      else error ("Inconsistent class: " ^ Display.string_of_thm_global thy thm);
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  in Triv_Class_Data.map (AList.update (op =) (class, thm)) thy end;
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local
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val get_triv_classes = map fst o Triv_Class_Data.get;
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val (_, triv_of_class) = Context.>>> (Context.map_theory_result
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  (Thm.add_oracle (Binding.name "triv_of_class", fn (thy, T, class) =>
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    Thm.cterm_of thy (Logic.mk_of_class (T, class)))));
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in
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fun lift_triv_classes_conv thy conv ct =
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  let
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    val algebra = Sign.classes_of thy;
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    val certT = Thm.ctyp_of thy;
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    val triv_classes = get_triv_classes thy;
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    fun additional_classes sort = filter_out (fn class => Sorts.sort_le algebra (sort, [class])) triv_classes;
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    fun mk_entry (v, sort) =
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      let
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        val T = TFree (v, sort);
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        val cT = certT T;
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        val triv_sort = additional_classes sort;
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      in
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        (v, (Sorts.inter_sort algebra (sort, triv_sort),
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          (cT, AList.make (fn class => Thm.of_class (cT, class)) sort
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            @ AList.make (fn class => triv_of_class (thy, T, class)) triv_sort)))
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      end;
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    val vs_tab = map mk_entry (Term.add_tfrees (Thm.term_of ct) []);
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    fun instantiate thm =
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      let
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        val cert_tvars = map (certT o TVar) (Term.add_tvars
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          ((fst o Logic.dest_equals o Logic.strip_imp_concl o Thm.prop_of) thm) []);
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        val instantiation =
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          map2 (fn cert_tvar => fn (_, (_, (cT, _))) => (cert_tvar, cT)) cert_tvars vs_tab;
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      in Thm.instantiate (instantiation, []) thm end;
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    fun of_class (TFree (v, _), class) =
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          the (AList.lookup (op =) ((snd o snd o the o AList.lookup (op =) vs_tab) v) class)
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      | of_class (T, _) = error ("Bad type " ^ Syntax.string_of_typ_global thy T);
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    fun strip_of_class thm =
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      let
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        val prems_of_class = Thm.prop_of thm
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          |> Logic.strip_imp_prems
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          |> map (Logic.dest_of_class #> of_class);
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      in fold Thm.elim_implies prems_of_class thm end;
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  in
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    ct
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    |> (Drule.cterm_fun o map_types o map_type_tfree)
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        (fn (v, sort) => TFree (v, (fst o the o AList.lookup (op =) vs_tab) v))
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    |> conv
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    |> Thm.strip_shyps
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    |> Thm.varifyT_global
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    |> Thm.unconstrainT
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    |> instantiate
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    |> strip_of_class
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  end;
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fun lift_triv_classes_rew thy rew t =
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  let
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    val algebra = Sign.classes_of thy;
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    val triv_classes = get_triv_classes thy;
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    val vs = Term.add_tfrees t [];
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  in t
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    |> (map_types o map_type_tfree)
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        (fn (v, sort) => TFree (v, Sorts.inter_sort algebra (sort, triv_classes)))
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    |> rew
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    |> (map_types o map_type_tfree)
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        (fn (v, _) => TFree (v, the (AList.lookup (op =) vs v)))
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  end;
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end;
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(** the semantic universe **)
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(*
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   Functions are given by their semantical function value. To avoid
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   trouble with the ML-type system, these functions have the most
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   generic type, that is "Univ list -> Univ". The calling convention is
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   that the arguments come as a list, the last argument first. In
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   other words, a function call that usually would look like
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   f x_1 x_2 ... x_n   or   f(x_1,x_2, ..., x_n)
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   would be in our convention called as
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              f [x_n,..,x_2,x_1]
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   Moreover, to handle functions that are still waiting for some
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   arguments we have additionally a list of arguments collected to far
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   and the number of arguments we're still waiting for.
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*)
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datatype Univ =
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    Const of int * Univ list           (*named (uninterpreted) constants*)
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  | DFree of string * int              (*free (uninterpreted) dictionary parameters*)
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  | BVar of int * Univ list            (*bound variables, named*)
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  | Abs of (int * (Univ list -> Univ)) * Univ list
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                                       (*abstractions as closures*);
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fun same (Const (k, xs)) (Const (l, ys)) = k = l andalso sames xs ys
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  | same (DFree (s, k)) (DFree (t, l)) = s = t andalso k = l
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  | same (BVar (k, xs)) (BVar (l, ys)) = k = l andalso sames xs ys
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  | same _ _ = false
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and sames xs ys = length xs = length ys andalso forall (uncurry same) (xs ~~ ys);
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(* constructor functions *)
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fun abss n f = Abs ((n, f), []);
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fun apps (Abs ((n, f), xs)) ys = let val k = n - length ys in
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      case int_ord (k, 0)
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       of EQUAL => f (ys @ xs)
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        | LESS => let val (zs, ws) = chop (~ k) ys in apps (f (ws @ xs)) zs end
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        | GREATER => Abs ((k, f), ys @ xs) (*note: reverse convention also for apps!*)
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      end
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  | apps (Const (name, xs)) ys = Const (name, ys @ xs)
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  | apps (BVar (n, xs)) ys = BVar (n, ys @ xs);
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(** assembling and compiling ML code from terms **)
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(* abstract ML syntax *)
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infix 9 `$` `$$`;
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fun e1 `$` e2 = "(" ^ e1 ^ " " ^ e2 ^ ")";
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fun e `$$` [] = e
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  | e `$$` es = "(" ^ e ^ " " ^ space_implode " " es ^ ")";
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fun ml_abs v e = "(fn " ^ v ^ " => " ^ e ^ ")";
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fun ml_cases t cs =
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  "(case " ^ t ^ " of " ^ space_implode " | " (map (fn (p, t) => p ^ " => " ^ t) cs) ^ ")";
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fun ml_Let d e = "let\n" ^ d ^ " in " ^ e ^ " end";
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fun ml_as v t = "(" ^ v ^ " as " ^ t ^ ")";
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fun ml_and [] = "true"
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  | ml_and [x] = x
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  | ml_and xs = "(" ^ space_implode " andalso " xs ^ ")";
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fun ml_if b x y = "(if " ^ b ^ " then " ^ x ^ " else " ^ y ^ ")";
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fun ml_list es = "[" ^ commas es ^ "]";
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fun ml_fundefs ([(name, [([], e)])]) =
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      "val " ^ name ^ " = " ^ e ^ "\n"
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  | ml_fundefs (eqs :: eqss) =
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      let
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        fun fundef (name, eqs) =
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          let
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            fun eqn (es, e) = name ^ " " ^ space_implode " " es ^ " = " ^ e
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          in space_implode "\n  | " (map eqn eqs) end;
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      in
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        (prefix "fun " o fundef) eqs :: map (prefix "and " o fundef) eqss
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        |> cat_lines
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        |> suffix "\n"
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      end;
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(* nbe specific syntax and sandbox communication *)
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val univs_ref = Unsynchronized.ref (NONE : (unit -> Univ list -> Univ list) option);
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local
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  val prefix =      "Nbe.";
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  val name_ref =    prefix ^ "univs_ref";
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  val name_const =  prefix ^ "Const";
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  val name_abss =   prefix ^ "abss";
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  val name_apps =   prefix ^ "apps";
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  val name_same =   prefix ^ "same";
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in
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val univs_cookie = (name_ref, univs_ref);
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fun nbe_fun 0 "" = "nbe_value"
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  | nbe_fun i c = "c_" ^ translate_string (fn "." => "_" | c => c) c ^ "_" ^ string_of_int i;
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fun nbe_dict v n = "d_" ^ v ^ "_" ^ string_of_int n;
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fun nbe_bound v = "v_" ^ v;
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fun nbe_bound_optional NONE = "_"
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  | nbe_bound_optional (SOME v) = nbe_bound v;
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fun nbe_default v = "w_" ^ v;
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(*note: these three are the "turning spots" where proper argument order is established!*)
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fun nbe_apps t [] = t
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  | nbe_apps t ts = name_apps `$$` [t, ml_list (rev ts)];
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fun nbe_apps_local i c ts = nbe_fun i c `$` ml_list (rev ts);
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fun nbe_apps_constr idx_of c ts =
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  let
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    val c' = if !trace then string_of_int (idx_of c) ^ " (*" ^ c ^ "*)"
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      else string_of_int (idx_of c);
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  in name_const `$` ("(" ^ c' ^ ", " ^ ml_list (rev ts) ^ ")") end;
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fun nbe_abss 0 f = f `$` ml_list []
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  | nbe_abss n f = name_abss `$$` [string_of_int n, f];
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fun nbe_same v1 v2 = "(" ^ name_same ^ " " ^ nbe_bound v1 ^ " " ^ nbe_bound v2 ^ ")";
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end;
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open Basic_Code_Thingol;
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(* code generation *)
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fun assemble_eqnss idx_of deps eqnss =
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  let
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    fun prep_eqns (c, (vs, eqns)) =
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      let
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        val dicts = maps (fn (v, sort) => map_index (nbe_dict v o fst) sort) vs;
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        val num_args = length dicts + ((length o fst o hd) eqns);
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      in (c, (num_args, (dicts, eqns))) end;
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    val eqnss' = map prep_eqns eqnss;
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    fun assemble_constapp c dss ts = 
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      let
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        val ts' = (maps o map) assemble_idict dss @ ts;
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      in case AList.lookup (op =) eqnss' c
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       of SOME (num_args, _) => if num_args <= length ts'
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            then let val (ts1, ts2) = chop num_args ts'
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            in nbe_apps (nbe_apps_local 0 c ts1) ts2
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            end else nbe_apps (nbe_abss num_args (nbe_fun 0 c)) ts'
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        | NONE => if member (op =) deps c
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            then nbe_apps (nbe_fun 0 c) ts'
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            else nbe_apps_constr idx_of c ts'
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      end
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    and assemble_idict (DictConst (inst, dss)) =
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          assemble_constapp inst dss []
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      | assemble_idict (DictVar (supers, (v, (n, _)))) =
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          fold_rev (fn super => assemble_constapp super [] o single) supers (nbe_dict v n);
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    fun assemble_iterm constapp =
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      let
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        fun of_iterm match_cont t =
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          let
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            val (t', ts) = Code_Thingol.unfold_app t
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          in of_iapp match_cont t' (fold_rev (cons o of_iterm NONE) ts []) end
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        and of_iapp match_cont (IConst (c, ((_, dss), _))) ts = constapp c dss ts
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          | of_iapp match_cont (IVar v) ts = nbe_apps (nbe_bound_optional v) ts
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          | of_iapp match_cont ((v, _) `|=> t) ts =
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              nbe_apps (nbe_abss 1 (ml_abs (ml_list [nbe_bound_optional v]) (of_iterm NONE t))) ts
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          | of_iapp match_cont (ICase (((t, _), cs), t0)) ts =
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              nbe_apps (ml_cases (of_iterm NONE t)
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                (map (fn (p, t) => (of_iterm NONE p, of_iterm match_cont t)) cs
haftmann@28350
   313
                  @ [("_", case match_cont of SOME s => s | NONE => of_iterm NONE t0)])) ts
haftmann@25944
   314
      in of_iterm end;
haftmann@24155
   315
haftmann@28350
   316
    fun subst_nonlin_vars args =
haftmann@28350
   317
      let
haftmann@28350
   318
        val vs = (fold o Code_Thingol.fold_varnames)
wenzelm@33002
   319
          (fn v => AList.map_default (op =) (v, 0) (Integer.add 1)) args [];
haftmann@28350
   320
        val names = Name.make_context (map fst vs);
haftmann@28350
   321
        fun declare v k ctxt = let val vs = Name.invents ctxt v k
haftmann@28350
   322
          in (vs, fold Name.declare vs ctxt) end;
haftmann@28350
   323
        val (vs_renames, _) = fold_map (fn (v, k) => if k > 1
haftmann@28350
   324
          then declare v (k - 1) #>> (fn vs => (v, vs))
haftmann@28350
   325
          else pair (v, [])) vs names;
haftmann@28350
   326
        val samepairs = maps (fn (v, vs) => map (pair v) vs) vs_renames;
haftmann@28350
   327
        fun subst_vars (t as IConst _) samepairs = (t, samepairs)
haftmann@31889
   328
          | subst_vars (t as IVar NONE) samepairs = (t, samepairs)
haftmann@31889
   329
          | subst_vars (t as IVar (SOME v)) samepairs = (case AList.lookup (op =) samepairs v
haftmann@31889
   330
             of SOME v' => (IVar (SOME v'), AList.delete (op =) v samepairs)
haftmann@28350
   331
              | NONE => (t, samepairs))
haftmann@28350
   332
          | subst_vars (t1 `$ t2) samepairs = samepairs
haftmann@28350
   333
              |> subst_vars t1
haftmann@28350
   334
              ||>> subst_vars t2
haftmann@28350
   335
              |>> (op `$)
haftmann@28350
   336
          | subst_vars (ICase (_, t)) samepairs = subst_vars t samepairs;
haftmann@28350
   337
        val (args', _) = fold_map subst_vars args samepairs;
haftmann@28350
   338
      in (samepairs, args') end;
haftmann@28350
   339
haftmann@28337
   340
    fun assemble_eqn c dicts default_args (i, (args, rhs)) =
haftmann@28337
   341
      let
haftmann@28337
   342
        val is_eval = (c = "");
haftmann@28337
   343
        val default_rhs = nbe_apps_local (i+1) c (dicts @ default_args);
haftmann@28337
   344
        val match_cont = if is_eval then NONE else SOME default_rhs;
haftmann@28350
   345
        val assemble_arg = assemble_iterm
haftmann@28350
   346
          (fn c => fn _ => fn ts => nbe_apps_constr idx_of c ts) NONE;
haftmann@35371
   347
        val assemble_rhs = assemble_iterm assemble_constapp match_cont;
haftmann@28350
   348
        val (samepairs, args') = subst_nonlin_vars args;
haftmann@28350
   349
        val s_args = map assemble_arg args';
haftmann@28350
   350
        val s_rhs = if null samepairs then assemble_rhs rhs
haftmann@28350
   351
          else ml_if (ml_and (map (uncurry nbe_same) samepairs))
haftmann@28350
   352
            (assemble_rhs rhs) default_rhs;
haftmann@28337
   353
        val eqns = if is_eval then
haftmann@28350
   354
            [([ml_list (rev (dicts @ s_args))], s_rhs)]
haftmann@28337
   355
          else
haftmann@28350
   356
            [([ml_list (rev (dicts @ map2 ml_as default_args s_args))], s_rhs),
haftmann@28337
   357
              ([ml_list (rev (dicts @ default_args))], default_rhs)]
haftmann@28337
   358
      in (nbe_fun i c, eqns) end;
haftmann@28337
   359
haftmann@25944
   360
    fun assemble_eqns (c, (num_args, (dicts, eqns))) =
haftmann@25944
   361
      let
haftmann@28337
   362
        val default_args = map nbe_default
haftmann@28337
   363
          (Name.invent_list [] "a" (num_args - length dicts));
haftmann@28337
   364
        val eqns' = map_index (assemble_eqn c dicts default_args) eqns
haftmann@28337
   365
          @ (if c = "" then [] else [(nbe_fun (length eqns) c,
haftmann@28337
   366
            [([ml_list (rev (dicts @ default_args))],
haftmann@28337
   367
              nbe_apps_constr idx_of c (dicts @ default_args))])]);
haftmann@28337
   368
      in (eqns', nbe_abss num_args (nbe_fun 0 c)) end;
haftmann@24155
   369
haftmann@25944
   370
    val (fun_vars, fun_vals) = map_split assemble_eqns eqnss';
haftmann@28337
   371
    val deps_vars = ml_list (map (nbe_fun 0) deps);
haftmann@28337
   372
  in ml_abs deps_vars (ml_Let (ml_fundefs (flat fun_vars)) (ml_list fun_vals)) end;
haftmann@25944
   373
haftmann@35371
   374
haftmann@25944
   375
(* code compilation *)
haftmann@25944
   376
haftmann@36982
   377
fun compile_eqnss ctxt gr raw_deps [] = []
wenzelm@28274
   378
  | compile_eqnss ctxt gr raw_deps eqnss =
haftmann@24155
   379
      let
haftmann@26064
   380
        val (deps, deps_vals) = split_list (map_filter
haftmann@26064
   381
          (fn dep => Option.map (fn univ => (dep, univ)) (fst ((Graph.get_node gr dep)))) raw_deps);
haftmann@26064
   382
        val idx_of = raw_deps
haftmann@26064
   383
          |> map (fn dep => (dep, snd (Graph.get_node gr dep)))
haftmann@26064
   384
          |> AList.lookup (op =)
haftmann@26064
   385
          |> (fn f => the o f);
haftmann@26064
   386
        val s = assemble_eqnss idx_of deps eqnss;
haftmann@24155
   387
        val cs = map fst eqnss;
haftmann@25944
   388
      in
haftmann@25944
   389
        s
haftmann@32544
   390
        |> traced (fn s => "\n--- code to be evaluated:\n" ^ s)
wenzelm@30672
   391
        |> ML_Context.evaluate ctxt (!trace) univs_cookie
haftmann@25944
   392
        |> (fn f => f deps_vals)
haftmann@25944
   393
        |> (fn univs => cs ~~ univs)
haftmann@25944
   394
      end;
haftmann@25190
   395
wenzelm@30672
   396
haftmann@25944
   397
(* preparing function equations *)
haftmann@24155
   398
haftmann@28663
   399
fun eqns_of_stmt (_, Code_Thingol.Fun (_, (_, []))) =
haftmann@25101
   400
      []
haftmann@28663
   401
  | eqns_of_stmt (const, Code_Thingol.Fun (_, ((vs, _), eqns))) =
haftmann@25101
   402
      [(const, (vs, map fst eqns))]
haftmann@28054
   403
  | eqns_of_stmt (_, Code_Thingol.Datatypecons _) =
haftmann@25101
   404
      []
haftmann@28054
   405
  | eqns_of_stmt (_, Code_Thingol.Datatype _) =
haftmann@25101
   406
      []
haftmann@28663
   407
  | eqns_of_stmt (class, Code_Thingol.Class (_, (v, (superclasses, classops)))) =
haftmann@25101
   408
      let
haftmann@25101
   409
        val names = map snd superclasses @ map fst classops;
haftmann@25101
   410
        val params = Name.invent_list [] "d" (length names);
haftmann@25101
   411
        fun mk (k, name) =
haftmann@25101
   412
          (name, ([(v, [])],
haftmann@31889
   413
            [([IConst (class, (([], []), [])) `$$ map (IVar o SOME) params],
haftmann@31889
   414
              IVar (SOME (nth params k)))]));
haftmann@25101
   415
      in map_index mk names end
haftmann@28054
   416
  | eqns_of_stmt (_, Code_Thingol.Classrel _) =
haftmann@25101
   417
      []
haftmann@28054
   418
  | eqns_of_stmt (_, Code_Thingol.Classparam _) =
haftmann@25101
   419
      []
haftmann@28054
   420
  | eqns_of_stmt (inst, Code_Thingol.Classinst ((class, (_, arities)), (superinsts, instops))) =
haftmann@31049
   421
      [(inst, (arities, [([], IConst (class, (([], []), [])) `$$
haftmann@31049
   422
        map (fn (_, (_, (inst, dicts))) => IConst (inst, (([], dicts), []))) superinsts
haftmann@25101
   423
        @ map (IConst o snd o fst) instops)]))];
haftmann@24155
   424
wenzelm@28274
   425
fun compile_stmts ctxt stmts_deps =
haftmann@25101
   426
  let
haftmann@25101
   427
    val names = map (fst o fst) stmts_deps;
haftmann@25101
   428
    val names_deps = map (fn ((name, _), deps) => (name, deps)) stmts_deps;
haftmann@25101
   429
    val eqnss = maps (eqns_of_stmt o fst) stmts_deps;
haftmann@26064
   430
    val refl_deps = names_deps
haftmann@25190
   431
      |> maps snd
haftmann@25190
   432
      |> distinct (op =)
haftmann@26064
   433
      |> fold (insert (op =)) names;
haftmann@26064
   434
    fun new_node name (gr, (maxidx, idx_tab)) = if can (Graph.get_node gr) name
haftmann@26064
   435
      then (gr, (maxidx, idx_tab))
haftmann@26064
   436
      else (Graph.new_node (name, (NONE, maxidx)) gr,
haftmann@26064
   437
        (maxidx + 1, Inttab.update_new (maxidx, name) idx_tab));
haftmann@25190
   438
    fun compile gr = eqnss
wenzelm@28274
   439
      |> compile_eqnss ctxt gr refl_deps
haftmann@25190
   440
      |> rpair gr;
haftmann@25101
   441
  in
haftmann@26064
   442
    fold new_node refl_deps
haftmann@26064
   443
    #> apfst (fold (fn (name, deps) => fold (curry Graph.add_edge name) deps) names_deps
haftmann@26064
   444
      #> compile
haftmann@26064
   445
      #-> fold (fn (name, univ) => (Graph.map_node name o apfst) (K (SOME univ))))
haftmann@25101
   446
  end;
haftmann@24155
   447
haftmann@35500
   448
fun ensure_stmts ctxt program =
haftmann@25101
   449
  let
haftmann@26064
   450
    fun add_stmts names (gr, (maxidx, idx_tab)) = if exists ((can o Graph.get_node) gr) names
haftmann@26064
   451
      then (gr, (maxidx, idx_tab))
haftmann@26064
   452
      else (gr, (maxidx, idx_tab))
wenzelm@28274
   453
        |> compile_stmts ctxt (map (fn name => ((name, Graph.get_node program name),
haftmann@27103
   454
          Graph.imm_succs program name)) names);
haftmann@28706
   455
  in
haftmann@28706
   456
    fold_rev add_stmts (Graph.strong_conn program)
haftmann@28706
   457
  end;
haftmann@24155
   458
haftmann@25944
   459
haftmann@25944
   460
(** evaluation **)
haftmann@25944
   461
haftmann@25944
   462
(* term evaluation *)
haftmann@25944
   463
haftmann@30947
   464
fun eval_term ctxt gr deps (vs : (string * sort) list, t) =
haftmann@25924
   465
  let 
haftmann@25924
   466
    val dict_frees = maps (fn (v, sort) => map_index (curry DFree v o fst) sort) vs;
haftmann@25924
   467
  in
haftmann@31064
   468
    ("", (vs, [([], t)]))
wenzelm@28274
   469
    |> singleton (compile_eqnss ctxt gr deps)
haftmann@25924
   470
    |> snd
haftmann@31064
   471
    |> (fn t => apps t (rev dict_frees))
haftmann@25924
   472
  end;
haftmann@24155
   473
haftmann@35371
   474
haftmann@24839
   475
(* reification *)
haftmann@24155
   476
haftmann@30947
   477
fun typ_of_itype program vs (ityco `%% itys) =
haftmann@30947
   478
      let
haftmann@30947
   479
        val Code_Thingol.Datatype (tyco, _) = Graph.get_node program ityco;
haftmann@30947
   480
      in Type (tyco, map (typ_of_itype program vs) itys) end
haftmann@30947
   481
  | typ_of_itype program vs (ITyVar v) =
haftmann@30947
   482
      let
haftmann@30947
   483
        val sort = (the o AList.lookup (op =) vs) v;
haftmann@30947
   484
      in TFree ("'" ^ v, sort) end;
haftmann@30947
   485
haftmann@28663
   486
fun term_of_univ thy program idx_tab t =
haftmann@24155
   487
  let
haftmann@25101
   488
    fun take_until f [] = []
haftmann@25101
   489
      | take_until f (x::xs) = if f x then [] else x :: take_until f xs;
haftmann@28663
   490
    fun is_dict (Const (idx, _)) = (case (Graph.get_node program o the o Inttab.lookup idx_tab) idx
haftmann@28663
   491
         of Code_Thingol.Class _ => true
haftmann@28663
   492
          | Code_Thingol.Classrel _ => true
haftmann@28663
   493
          | Code_Thingol.Classinst _ => true
haftmann@28663
   494
          | _ => false)
haftmann@25101
   495
      | is_dict (DFree _) = true
haftmann@25101
   496
      | is_dict _ = false;
haftmann@28663
   497
    fun const_of_idx idx = (case (Graph.get_node program o the o Inttab.lookup idx_tab) idx
haftmann@35371
   498
     of Code_Thingol.Fun (c, _) => c
haftmann@35371
   499
      | Code_Thingol.Datatypecons (c, _) => c
haftmann@35371
   500
      | Code_Thingol.Classparam (c, _) => c);
haftmann@24155
   501
    fun of_apps bounds (t, ts) =
haftmann@24155
   502
      fold_map (of_univ bounds) ts
haftmann@24155
   503
      #>> (fn ts' => list_comb (t, rev ts'))
haftmann@26064
   504
    and of_univ bounds (Const (idx, ts)) typidx =
haftmann@24155
   505
          let
haftmann@25101
   506
            val ts' = take_until is_dict ts;
haftmann@28663
   507
            val c = const_of_idx idx;
haftmann@31957
   508
            val T = map_type_tvar (fn ((v, i), _) =>
haftmann@31957
   509
              TypeInfer.param typidx (v ^ string_of_int i, []))
haftmann@31957
   510
                (Sign.the_const_type thy c);
haftmann@30022
   511
            val typidx' = typidx + 1;
haftmann@31957
   512
          in of_apps bounds (Term.Const (c, T), ts') typidx' end
haftmann@27499
   513
      | of_univ bounds (BVar (n, ts)) typidx =
haftmann@27499
   514
          of_apps bounds (Bound (bounds - n - 1), ts) typidx
haftmann@24155
   515
      | of_univ bounds (t as Abs _) typidx =
haftmann@24155
   516
          typidx
haftmann@25924
   517
          |> of_univ (bounds + 1) (apps t [BVar (bounds, [])])
haftmann@24155
   518
          |-> (fn t' => pair (Term.Abs ("u", dummyT, t')))
haftmann@24155
   519
  in of_univ 0 t 0 |> fst end;
haftmann@24155
   520
haftmann@35371
   521
haftmann@25101
   522
(* function store *)
haftmann@25101
   523
haftmann@34173
   524
structure Nbe_Functions = Code_Data
haftmann@25101
   525
(
haftmann@35500
   526
  type T = (Univ option * int) Graph.T * (int * string Inttab.table);
haftmann@35500
   527
  val empty = (Graph.empty, (0, Inttab.empty));
haftmann@25101
   528
);
haftmann@25101
   529
haftmann@35371
   530
haftmann@25101
   531
(* compilation, evaluation and reification *)
haftmann@25101
   532
haftmann@35500
   533
fun compile_eval thy program vs_t deps =
haftmann@26064
   534
  let
wenzelm@36610
   535
    val ctxt = ProofContext.init_global thy;
haftmann@35500
   536
    val (gr, (_, idx_tab)) =
haftmann@35500
   537
      Nbe_Functions.change thy (ensure_stmts ctxt program);
haftmann@26064
   538
  in
haftmann@30947
   539
    vs_t
haftmann@34251
   540
    |> eval_term ctxt gr deps
haftmann@34251
   541
    |> term_of_univ thy program idx_tab
haftmann@26064
   542
  end;
haftmann@25101
   543
haftmann@35371
   544
haftmann@24155
   545
(* evaluation with type reconstruction *)
haftmann@24155
   546
haftmann@35500
   547
fun normalize thy program ((vs0, (vs, ty)), t) deps =
haftmann@24155
   548
  let
haftmann@30947
   549
    val ty' = typ_of_itype program vs0 ty;
wenzelm@27264
   550
    fun type_infer t =
wenzelm@27264
   551
      singleton (TypeInfer.infer_types (Syntax.pp_global thy) (Sign.tsig_of thy) I
wenzelm@27264
   552
        (try (Type.strip_sorts o Sign.the_const_type thy)) (K NONE) Name.context 0)
haftmann@30947
   553
      (TypeInfer.constrain ty' t);
wenzelm@29272
   554
    fun check_tvars t = if null (Term.add_tvars t []) then t else
haftmann@24155
   555
      error ("Illegal schematic type variables in normalized term: "
wenzelm@32966
   556
        ^ setmp_CRITICAL show_types true (Syntax.string_of_term_global thy) t);
wenzelm@32966
   557
    val string_of_term = setmp_CRITICAL show_types true (Syntax.string_of_term_global thy);
haftmann@24155
   558
  in
haftmann@35500
   559
    compile_eval thy program (vs, t) deps
haftmann@32544
   560
    |> traced (fn t => "Normalized:\n" ^ string_of_term t)
haftmann@26739
   561
    |> type_infer
haftmann@32544
   562
    |> traced (fn t => "Types inferred:\n" ^ string_of_term t)
haftmann@26739
   563
    |> check_tvars
haftmann@36982
   564
    |> traced (fn _ => "---\n")
haftmann@24155
   565
  end;
haftmann@24155
   566
haftmann@32544
   567
haftmann@24155
   568
(* evaluation oracle *)
haftmann@24155
   569
haftmann@30947
   570
fun mk_equals thy lhs raw_rhs =
haftmann@26747
   571
  let
haftmann@30947
   572
    val ty = Thm.typ_of (Thm.ctyp_of_term lhs);
haftmann@30947
   573
    val eq = Thm.cterm_of thy (Term.Const ("==", ty --> ty --> propT));
haftmann@30947
   574
    val rhs = Thm.cterm_of thy raw_rhs;
haftmann@30947
   575
  in Thm.mk_binop eq lhs rhs end;
haftmann@26747
   576
haftmann@30942
   577
val (_, raw_norm_oracle) = Context.>>> (Context.map_theory_result
haftmann@35500
   578
  (Thm.add_oracle (Binding.name "norm", fn (thy, program, vsp_ty_t, deps, ct) =>
haftmann@35500
   579
    mk_equals thy ct (normalize thy program vsp_ty_t deps))));
haftmann@31064
   580
haftmann@35500
   581
fun norm_oracle thy program vsp_ty_t deps ct =
haftmann@35500
   582
  raw_norm_oracle (thy, program, vsp_ty_t, deps, ct);
haftmann@30942
   583
haftmann@31064
   584
fun no_frees_conv conv ct =
haftmann@31064
   585
  let
haftmann@31064
   586
    val frees = Thm.add_cterm_frees ct [];
haftmann@31064
   587
    fun apply_beta free thm = Thm.combination thm (Thm.reflexive free)
haftmann@31064
   588
      |> Conv.fconv_rule (Conv.arg_conv (Conv.try_conv (Thm.beta_conversion false)))
haftmann@31064
   589
      |> Conv.fconv_rule (Conv.arg1_conv (Thm.beta_conversion false));
haftmann@31064
   590
  in
haftmann@31064
   591
    ct
haftmann@31064
   592
    |> fold_rev Thm.cabs frees
haftmann@31064
   593
    |> conv
haftmann@31064
   594
    |> fold apply_beta frees
haftmann@31064
   595
  end;
haftmann@30942
   596
haftmann@31064
   597
fun no_frees_rew rew t =
haftmann@31064
   598
  let
haftmann@31064
   599
    val frees = map Free (Term.add_frees t []);
haftmann@31064
   600
  in
haftmann@31064
   601
    t
haftmann@31064
   602
    |> fold_rev lambda frees
haftmann@31064
   603
    |> rew
haftmann@31064
   604
    |> (fn t' => Term.betapplys (t', frees))
haftmann@31064
   605
  end;
haftmann@31064
   606
haftmann@31064
   607
val norm_conv = no_frees_conv (fn ct =>
haftmann@24155
   608
  let
haftmann@24155
   609
    val thy = Thm.theory_of_cterm ct;
haftmann@35500
   610
  in lift_triv_classes_conv thy (Code_Thingol.eval_conv thy (K (norm_oracle thy))) ct end);
haftmann@24155
   611
haftmann@35500
   612
fun norm thy = lift_triv_classes_rew thy (no_frees_rew (Code_Thingol.eval thy I (K (normalize thy))));
haftmann@24839
   613
haftmann@35371
   614
haftmann@24155
   615
(* evaluation command *)
haftmann@24155
   616
haftmann@24155
   617
fun norm_print_term ctxt modes t =
haftmann@24155
   618
  let
haftmann@24155
   619
    val thy = ProofContext.theory_of ctxt;
haftmann@30970
   620
    val t' = norm thy t;
haftmann@24839
   621
    val ty' = Term.type_of t';
wenzelm@26952
   622
    val ctxt' = Variable.auto_fixes t ctxt;
wenzelm@24634
   623
    val p = PrintMode.with_modes modes (fn () =>
wenzelm@26952
   624
      Pretty.block [Pretty.quote (Syntax.pretty_term ctxt' t'), Pretty.fbrk,
wenzelm@26952
   625
        Pretty.str "::", Pretty.brk 1, Pretty.quote (Syntax.pretty_typ ctxt' ty')]) ();
haftmann@24155
   626
  in Pretty.writeln p end;
haftmann@24155
   627
haftmann@24155
   628
haftmann@24155
   629
(** Isar setup **)
haftmann@24155
   630
wenzelm@24508
   631
fun norm_print_term_cmd (modes, s) state =
haftmann@24155
   632
  let val ctxt = Toplevel.context_of state
wenzelm@24508
   633
  in norm_print_term ctxt modes (Syntax.read_term ctxt s) end;
haftmann@24155
   634
haftmann@30970
   635
val setup = Value.add_evaluator ("nbe", norm o ProofContext.theory_of);
haftmann@24155
   636
wenzelm@36960
   637
val opt_modes =
wenzelm@36960
   638
  Scan.optional (Parse.$$$ "(" |-- Parse.!!! (Scan.repeat1 Parse.xname --| Parse.$$$ ")")) [];
haftmann@24155
   639
wenzelm@24867
   640
val _ =
wenzelm@36960
   641
  Outer_Syntax.improper_command "normal_form" "normalize term by evaluation" Keyword.diag
wenzelm@36960
   642
    (opt_modes -- Parse.term >> (Toplevel.keep o norm_print_term_cmd));
haftmann@24155
   643
haftmann@24155
   644
end;
haftmann@28337
   645