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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, (v, 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 triv_classes = get_triv_classes thy;
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val certT = Thm.ctyp_of thy;
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fun critical_classes sort = filter_out (fn class => Sign.subsort thy (sort, [class])) triv_classes;
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val vs = Term.add_tfrees (Thm.term_of ct) []
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|> map_filter (fn (v, sort) => case critical_classes sort
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of [] => NONE
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| classes => SOME (v, ((sort, classes), Sorts.inter_sort algebra (triv_classes, sort))));
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val of_classes = maps (fn (v, ((sort, classes), _)) => map (fn class =>
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((v, class), triv_of_class (thy, (v, TVar ((v, 0), sort)), class))) classes
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@ map (fn class => ((v, class), Thm.of_class (certT (TVar ((v, 0), sort)), class)))
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sort) vs;
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fun strip_of_class thm =
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let
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val prem_props = (Logic.strip_imp_prems o Thm.prop_of) thm;
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val prem_thms = map (the o AList.lookup (op =) of_classes
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o apfst (fst o fst o dest_TVar) o Logic.dest_of_class) prem_props;
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in Drule.implies_elim_list thm prem_thms end;
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in ct
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|> Drule.cterm_rule Thm.varifyT
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|> Thm.instantiate_cterm (Thm.certify_inst thy (map (fn (v, ((sort, _), sort')) =>
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(((v, 0), sort), TFree (v, sort'))) vs, []))
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|> Drule.cterm_rule Thm.freezeT
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|> conv
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|> Thm.varifyT
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|> fold (fn (v, (_, sort')) => Thm.unconstrainT (certT (TVar ((v, 0), sort')))) vs
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|> Thm.certify_instantiate (map (fn (v, ((sort, _), _)) =>
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(((v, 0), []), TVar ((v, 0), sort))) vs, [])
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|> strip_of_class
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|> Thm.freezeT
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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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haftmann@25101
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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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haftmann@28054
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open Basic_Code_Thingol;
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haftmann@35371
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haftmann@25865
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(* code generation *)
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haftmann@24155
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haftmann@26064
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fun assemble_eqnss idx_of deps eqnss =
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haftmann@25944
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let
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haftmann@25944
|
265 |
fun prep_eqns (c, (vs, eqns)) =
|
haftmann@25944
|
266 |
let
|
haftmann@25944
|
267 |
val dicts = maps (fn (v, sort) => map_index (nbe_dict v o fst) sort) vs;
|
haftmann@28337
|
268 |
val num_args = length dicts + ((length o fst o hd) eqns);
|
haftmann@25944
|
269 |
in (c, (num_args, (dicts, eqns))) end;
|
haftmann@25944
|
270 |
val eqnss' = map prep_eqns eqnss;
|
haftmann@25101
|
271 |
|
haftmann@25944
|
272 |
fun assemble_constapp c dss ts =
|
haftmann@25924
|
273 |
let
|
haftmann@25944
|
274 |
val ts' = (maps o map) assemble_idict dss @ ts;
|
haftmann@25944
|
275 |
in case AList.lookup (op =) eqnss' c
|
haftmann@28337
|
276 |
of SOME (num_args, _) => if num_args <= length ts'
|
haftmann@28337
|
277 |
then let val (ts1, ts2) = chop num_args ts'
|
haftmann@28337
|
278 |
in nbe_apps (nbe_apps_local 0 c ts1) ts2
|
haftmann@28337
|
279 |
end else nbe_apps (nbe_abss num_args (nbe_fun 0 c)) ts'
|
haftmann@25944
|
280 |
| NONE => if member (op =) deps c
|
haftmann@28337
|
281 |
then nbe_apps (nbe_fun 0 c) ts'
|
haftmann@28337
|
282 |
else nbe_apps_constr idx_of c ts'
|
haftmann@25924
|
283 |
end
|
haftmann@25944
|
284 |
and assemble_idict (DictConst (inst, dss)) =
|
haftmann@25944
|
285 |
assemble_constapp inst dss []
|
haftmann@25944
|
286 |
| assemble_idict (DictVar (supers, (v, (n, _)))) =
|
haftmann@25944
|
287 |
fold_rev (fn super => assemble_constapp super [] o single) supers (nbe_dict v n);
|
haftmann@25924
|
288 |
|
haftmann@28350
|
289 |
fun assemble_iterm constapp =
|
haftmann@24155
|
290 |
let
|
haftmann@28350
|
291 |
fun of_iterm match_cont t =
|
haftmann@25944
|
292 |
let
|
haftmann@28054
|
293 |
val (t', ts) = Code_Thingol.unfold_app t
|
haftmann@28350
|
294 |
in of_iapp match_cont t' (fold_rev (cons o of_iterm NONE) ts []) end
|
haftmann@31049
|
295 |
and of_iapp match_cont (IConst (c, ((_, dss), _))) ts = constapp c dss ts
|
haftmann@31889
|
296 |
| of_iapp match_cont (IVar v) ts = nbe_apps (nbe_bound_optional v) ts
|
haftmann@31724
|
297 |
| of_iapp match_cont ((v, _) `|=> t) ts =
|
haftmann@31888
|
298 |
nbe_apps (nbe_abss 1 (ml_abs (ml_list [nbe_bound_optional v]) (of_iterm NONE t))) ts
|
haftmann@28350
|
299 |
| of_iapp match_cont (ICase (((t, _), cs), t0)) ts =
|
haftmann@28350
|
300 |
nbe_apps (ml_cases (of_iterm NONE t)
|
haftmann@28350
|
301 |
(map (fn (p, t) => (of_iterm NONE p, of_iterm match_cont t)) cs
|
haftmann@28350
|
302 |
@ [("_", case match_cont of SOME s => s | NONE => of_iterm NONE t0)])) ts
|
haftmann@25944
|
303 |
in of_iterm end;
|
haftmann@24155
|
304 |
|
haftmann@28350
|
305 |
fun subst_nonlin_vars args =
|
haftmann@28350
|
306 |
let
|
haftmann@28350
|
307 |
val vs = (fold o Code_Thingol.fold_varnames)
|
wenzelm@33008
|
308 |
(fn v => AList.map_default (op =) (v, 0) (Integer.add 1)) args [];
|
haftmann@28350
|
309 |
val names = Name.make_context (map fst vs);
|
haftmann@28350
|
310 |
fun declare v k ctxt = let val vs = Name.invents ctxt v k
|
haftmann@28350
|
311 |
in (vs, fold Name.declare vs ctxt) end;
|
haftmann@28350
|
312 |
val (vs_renames, _) = fold_map (fn (v, k) => if k > 1
|
haftmann@28350
|
313 |
then declare v (k - 1) #>> (fn vs => (v, vs))
|
haftmann@28350
|
314 |
else pair (v, [])) vs names;
|
haftmann@28350
|
315 |
val samepairs = maps (fn (v, vs) => map (pair v) vs) vs_renames;
|
haftmann@28350
|
316 |
fun subst_vars (t as IConst _) samepairs = (t, samepairs)
|
haftmann@31889
|
317 |
| subst_vars (t as IVar NONE) samepairs = (t, samepairs)
|
haftmann@31889
|
318 |
| subst_vars (t as IVar (SOME v)) samepairs = (case AList.lookup (op =) samepairs v
|
haftmann@31889
|
319 |
of SOME v' => (IVar (SOME v'), AList.delete (op =) v samepairs)
|
haftmann@28350
|
320 |
| NONE => (t, samepairs))
|
haftmann@28350
|
321 |
| subst_vars (t1 `$ t2) samepairs = samepairs
|
haftmann@28350
|
322 |
|> subst_vars t1
|
haftmann@28350
|
323 |
||>> subst_vars t2
|
haftmann@28350
|
324 |
|>> (op `$)
|
haftmann@28350
|
325 |
| subst_vars (ICase (_, t)) samepairs = subst_vars t samepairs;
|
haftmann@28350
|
326 |
val (args', _) = fold_map subst_vars args samepairs;
|
haftmann@28350
|
327 |
in (samepairs, args') end;
|
haftmann@28350
|
328 |
|
haftmann@28337
|
329 |
fun assemble_eqn c dicts default_args (i, (args, rhs)) =
|
haftmann@28337
|
330 |
let
|
haftmann@28337
|
331 |
val is_eval = (c = "");
|
haftmann@28337
|
332 |
val default_rhs = nbe_apps_local (i+1) c (dicts @ default_args);
|
haftmann@28337
|
333 |
val match_cont = if is_eval then NONE else SOME default_rhs;
|
haftmann@28350
|
334 |
val assemble_arg = assemble_iterm
|
haftmann@28350
|
335 |
(fn c => fn _ => fn ts => nbe_apps_constr idx_of c ts) NONE;
|
haftmann@35371
|
336 |
val assemble_rhs = assemble_iterm assemble_constapp match_cont;
|
haftmann@28350
|
337 |
val (samepairs, args') = subst_nonlin_vars args;
|
haftmann@28350
|
338 |
val s_args = map assemble_arg args';
|
haftmann@28350
|
339 |
val s_rhs = if null samepairs then assemble_rhs rhs
|
haftmann@28350
|
340 |
else ml_if (ml_and (map (uncurry nbe_same) samepairs))
|
haftmann@28350
|
341 |
(assemble_rhs rhs) default_rhs;
|
haftmann@28337
|
342 |
val eqns = if is_eval then
|
haftmann@28350
|
343 |
[([ml_list (rev (dicts @ s_args))], s_rhs)]
|
haftmann@28337
|
344 |
else
|
haftmann@28350
|
345 |
[([ml_list (rev (dicts @ map2 ml_as default_args s_args))], s_rhs),
|
haftmann@28337
|
346 |
([ml_list (rev (dicts @ default_args))], default_rhs)]
|
haftmann@28337
|
347 |
in (nbe_fun i c, eqns) end;
|
haftmann@28337
|
348 |
|
haftmann@25944
|
349 |
fun assemble_eqns (c, (num_args, (dicts, eqns))) =
|
haftmann@25944
|
350 |
let
|
haftmann@28337
|
351 |
val default_args = map nbe_default
|
haftmann@28337
|
352 |
(Name.invent_list [] "a" (num_args - length dicts));
|
haftmann@28337
|
353 |
val eqns' = map_index (assemble_eqn c dicts default_args) eqns
|
haftmann@28337
|
354 |
@ (if c = "" then [] else [(nbe_fun (length eqns) c,
|
haftmann@28337
|
355 |
[([ml_list (rev (dicts @ default_args))],
|
haftmann@28337
|
356 |
nbe_apps_constr idx_of c (dicts @ default_args))])]);
|
haftmann@28337
|
357 |
in (eqns', nbe_abss num_args (nbe_fun 0 c)) end;
|
haftmann@24155
|
358 |
|
haftmann@25944
|
359 |
val (fun_vars, fun_vals) = map_split assemble_eqns eqnss';
|
haftmann@28337
|
360 |
val deps_vars = ml_list (map (nbe_fun 0) deps);
|
haftmann@28337
|
361 |
in ml_abs deps_vars (ml_Let (ml_fundefs (flat fun_vars)) (ml_list fun_vals)) end;
|
haftmann@25944
|
362 |
|
haftmann@35371
|
363 |
|
haftmann@25944
|
364 |
(* code compilation *)
|
haftmann@25944
|
365 |
|
wenzelm@28274
|
366 |
fun compile_eqnss _ gr raw_deps [] = []
|
wenzelm@28274
|
367 |
| compile_eqnss ctxt gr raw_deps eqnss =
|
haftmann@24155
|
368 |
let
|
haftmann@26064
|
369 |
val (deps, deps_vals) = split_list (map_filter
|
haftmann@26064
|
370 |
(fn dep => Option.map (fn univ => (dep, univ)) (fst ((Graph.get_node gr dep)))) raw_deps);
|
haftmann@26064
|
371 |
val idx_of = raw_deps
|
haftmann@26064
|
372 |
|> map (fn dep => (dep, snd (Graph.get_node gr dep)))
|
haftmann@26064
|
373 |
|> AList.lookup (op =)
|
haftmann@26064
|
374 |
|> (fn f => the o f);
|
haftmann@26064
|
375 |
val s = assemble_eqnss idx_of deps eqnss;
|
haftmann@24155
|
376 |
val cs = map fst eqnss;
|
haftmann@25944
|
377 |
in
|
haftmann@25944
|
378 |
s
|
haftmann@32544
|
379 |
|> traced (fn s => "\n--- code to be evaluated:\n" ^ s)
|
wenzelm@30687
|
380 |
|> ML_Context.evaluate ctxt (!trace) univs_cookie
|
haftmann@25944
|
381 |
|> (fn f => f deps_vals)
|
haftmann@25944
|
382 |
|> (fn univs => cs ~~ univs)
|
haftmann@25944
|
383 |
end;
|
haftmann@25190
|
384 |
|
wenzelm@30687
|
385 |
|
haftmann@25944
|
386 |
(* preparing function equations *)
|
haftmann@24155
|
387 |
|
haftmann@28663
|
388 |
fun eqns_of_stmt (_, Code_Thingol.Fun (_, (_, []))) =
|
haftmann@25101
|
389 |
[]
|
haftmann@28663
|
390 |
| eqns_of_stmt (const, Code_Thingol.Fun (_, ((vs, _), eqns))) =
|
haftmann@25101
|
391 |
[(const, (vs, map fst eqns))]
|
haftmann@28054
|
392 |
| eqns_of_stmt (_, Code_Thingol.Datatypecons _) =
|
haftmann@25101
|
393 |
[]
|
haftmann@28054
|
394 |
| eqns_of_stmt (_, Code_Thingol.Datatype _) =
|
haftmann@25101
|
395 |
[]
|
haftmann@28663
|
396 |
| eqns_of_stmt (class, Code_Thingol.Class (_, (v, (superclasses, classops)))) =
|
haftmann@25101
|
397 |
let
|
haftmann@25101
|
398 |
val names = map snd superclasses @ map fst classops;
|
haftmann@25101
|
399 |
val params = Name.invent_list [] "d" (length names);
|
haftmann@25101
|
400 |
fun mk (k, name) =
|
haftmann@25101
|
401 |
(name, ([(v, [])],
|
haftmann@31889
|
402 |
[([IConst (class, (([], []), [])) `$$ map (IVar o SOME) params],
|
haftmann@31889
|
403 |
IVar (SOME (nth params k)))]));
|
haftmann@25101
|
404 |
in map_index mk names end
|
haftmann@28054
|
405 |
| eqns_of_stmt (_, Code_Thingol.Classrel _) =
|
haftmann@25101
|
406 |
[]
|
haftmann@28054
|
407 |
| eqns_of_stmt (_, Code_Thingol.Classparam _) =
|
haftmann@25101
|
408 |
[]
|
haftmann@28054
|
409 |
| eqns_of_stmt (inst, Code_Thingol.Classinst ((class, (_, arities)), (superinsts, instops))) =
|
haftmann@31049
|
410 |
[(inst, (arities, [([], IConst (class, (([], []), [])) `$$
|
haftmann@31049
|
411 |
map (fn (_, (_, (inst, dicts))) => IConst (inst, (([], dicts), []))) superinsts
|
haftmann@25101
|
412 |
@ map (IConst o snd o fst) instops)]))];
|
haftmann@25101
|
413 |
|
wenzelm@28274
|
414 |
fun compile_stmts ctxt stmts_deps =
|
haftmann@24155
|
415 |
let
|
haftmann@25101
|
416 |
val names = map (fst o fst) stmts_deps;
|
haftmann@25101
|
417 |
val names_deps = map (fn ((name, _), deps) => (name, deps)) stmts_deps;
|
haftmann@25101
|
418 |
val eqnss = maps (eqns_of_stmt o fst) stmts_deps;
|
haftmann@26064
|
419 |
val refl_deps = names_deps
|
haftmann@25190
|
420 |
|> maps snd
|
haftmann@25190
|
421 |
|> distinct (op =)
|
haftmann@26064
|
422 |
|> fold (insert (op =)) names;
|
haftmann@26064
|
423 |
fun new_node name (gr, (maxidx, idx_tab)) = if can (Graph.get_node gr) name
|
haftmann@26064
|
424 |
then (gr, (maxidx, idx_tab))
|
haftmann@26064
|
425 |
else (Graph.new_node (name, (NONE, maxidx)) gr,
|
haftmann@26064
|
426 |
(maxidx + 1, Inttab.update_new (maxidx, name) idx_tab));
|
haftmann@25190
|
427 |
fun compile gr = eqnss
|
wenzelm@28274
|
428 |
|> compile_eqnss ctxt gr refl_deps
|
haftmann@25190
|
429 |
|> rpair gr;
|
haftmann@25101
|
430 |
in
|
haftmann@26064
|
431 |
fold new_node refl_deps
|
haftmann@26064
|
432 |
#> apfst (fold (fn (name, deps) => fold (curry Graph.add_edge name) deps) names_deps
|
haftmann@26064
|
433 |
#> compile
|
haftmann@26064
|
434 |
#-> fold (fn (name, univ) => (Graph.map_node name o apfst) (K (SOME univ))))
|
haftmann@25101
|
435 |
end;
|
haftmann@25101
|
436 |
|
haftmann@28706
|
437 |
fun ensure_stmts ctxt naming program =
|
haftmann@25101
|
438 |
let
|
haftmann@26064
|
439 |
fun add_stmts names (gr, (maxidx, idx_tab)) = if exists ((can o Graph.get_node) gr) names
|
haftmann@26064
|
440 |
then (gr, (maxidx, idx_tab))
|
haftmann@26064
|
441 |
else (gr, (maxidx, idx_tab))
|
wenzelm@28274
|
442 |
|> compile_stmts ctxt (map (fn name => ((name, Graph.get_node program name),
|
haftmann@27103
|
443 |
Graph.imm_succs program name)) names);
|
haftmann@28706
|
444 |
in
|
haftmann@28706
|
445 |
fold_rev add_stmts (Graph.strong_conn program)
|
haftmann@28706
|
446 |
#> pair naming
|
haftmann@28706
|
447 |
end;
|
haftmann@25101
|
448 |
|
haftmann@25944
|
449 |
|
haftmann@25944
|
450 |
(** evaluation **)
|
haftmann@25944
|
451 |
|
haftmann@25944
|
452 |
(* term evaluation *)
|
haftmann@25944
|
453 |
|
haftmann@30947
|
454 |
fun eval_term ctxt gr deps (vs : (string * sort) list, t) =
|
haftmann@25924
|
455 |
let
|
haftmann@25924
|
456 |
val dict_frees = maps (fn (v, sort) => map_index (curry DFree v o fst) sort) vs;
|
haftmann@25924
|
457 |
in
|
haftmann@31064
|
458 |
("", (vs, [([], t)]))
|
wenzelm@28274
|
459 |
|> singleton (compile_eqnss ctxt gr deps)
|
haftmann@25924
|
460 |
|> snd
|
haftmann@31064
|
461 |
|> (fn t => apps t (rev dict_frees))
|
haftmann@25924
|
462 |
end;
|
haftmann@24155
|
463 |
|
haftmann@35371
|
464 |
|
haftmann@24839
|
465 |
(* reification *)
|
haftmann@24155
|
466 |
|
haftmann@30947
|
467 |
fun typ_of_itype program vs (ityco `%% itys) =
|
haftmann@30947
|
468 |
let
|
haftmann@30947
|
469 |
val Code_Thingol.Datatype (tyco, _) = Graph.get_node program ityco;
|
haftmann@30947
|
470 |
in Type (tyco, map (typ_of_itype program vs) itys) end
|
haftmann@30947
|
471 |
| typ_of_itype program vs (ITyVar v) =
|
haftmann@30947
|
472 |
let
|
haftmann@30947
|
473 |
val sort = (the o AList.lookup (op =) vs) v;
|
haftmann@30947
|
474 |
in TFree ("'" ^ v, sort) end;
|
haftmann@30947
|
475 |
|
haftmann@28663
|
476 |
fun term_of_univ thy program idx_tab t =
|
haftmann@24155
|
477 |
let
|
haftmann@25101
|
478 |
fun take_until f [] = []
|
haftmann@25101
|
479 |
| take_until f (x::xs) = if f x then [] else x :: take_until f xs;
|
haftmann@28663
|
480 |
fun is_dict (Const (idx, _)) = (case (Graph.get_node program o the o Inttab.lookup idx_tab) idx
|
haftmann@28663
|
481 |
of Code_Thingol.Class _ => true
|
haftmann@28663
|
482 |
| Code_Thingol.Classrel _ => true
|
haftmann@28663
|
483 |
| Code_Thingol.Classinst _ => true
|
haftmann@28663
|
484 |
| _ => false)
|
haftmann@25101
|
485 |
| is_dict (DFree _) = true
|
haftmann@25101
|
486 |
| is_dict _ = false;
|
haftmann@28663
|
487 |
fun const_of_idx idx = (case (Graph.get_node program o the o Inttab.lookup idx_tab) idx
|
haftmann@35371
|
488 |
of Code_Thingol.Fun (c, _) => c
|
haftmann@35371
|
489 |
| Code_Thingol.Datatypecons (c, _) => c
|
haftmann@35371
|
490 |
| Code_Thingol.Classparam (c, _) => c);
|
haftmann@24155
|
491 |
fun of_apps bounds (t, ts) =
|
haftmann@24155
|
492 |
fold_map (of_univ bounds) ts
|
haftmann@24155
|
493 |
#>> (fn ts' => list_comb (t, rev ts'))
|
haftmann@26064
|
494 |
and of_univ bounds (Const (idx, ts)) typidx =
|
haftmann@24155
|
495 |
let
|
haftmann@25101
|
496 |
val ts' = take_until is_dict ts;
|
haftmann@28663
|
497 |
val c = const_of_idx idx;
|
haftmann@31957
|
498 |
val T = map_type_tvar (fn ((v, i), _) =>
|
haftmann@31957
|
499 |
TypeInfer.param typidx (v ^ string_of_int i, []))
|
haftmann@31957
|
500 |
(Sign.the_const_type thy c);
|
haftmann@29959
|
501 |
val typidx' = typidx + 1;
|
haftmann@31957
|
502 |
in of_apps bounds (Term.Const (c, T), ts') typidx' end
|
haftmann@27499
|
503 |
| of_univ bounds (BVar (n, ts)) typidx =
|
haftmann@27499
|
504 |
of_apps bounds (Bound (bounds - n - 1), ts) typidx
|
haftmann@24155
|
505 |
| of_univ bounds (t as Abs _) typidx =
|
haftmann@24155
|
506 |
typidx
|
haftmann@25924
|
507 |
|> of_univ (bounds + 1) (apps t [BVar (bounds, [])])
|
haftmann@24155
|
508 |
|-> (fn t' => pair (Term.Abs ("u", dummyT, t')))
|
haftmann@24155
|
509 |
in of_univ 0 t 0 |> fst end;
|
haftmann@24155
|
510 |
|
haftmann@35371
|
511 |
|
haftmann@25101
|
512 |
(* function store *)
|
haftmann@25101
|
513 |
|
haftmann@34160
|
514 |
structure Nbe_Functions = Code_Data
|
haftmann@25101
|
515 |
(
|
haftmann@28706
|
516 |
type T = Code_Thingol.naming * ((Univ option * int) Graph.T * (int * string Inttab.table));
|
haftmann@28706
|
517 |
val empty = (Code_Thingol.empty_naming, (Graph.empty, (0, Inttab.empty)));
|
haftmann@25101
|
518 |
);
|
haftmann@25101
|
519 |
|
haftmann@35371
|
520 |
|
haftmann@25101
|
521 |
(* compilation, evaluation and reification *)
|
haftmann@25101
|
522 |
|
haftmann@34246
|
523 |
fun compile_eval thy naming program vs_t deps =
|
haftmann@26064
|
524 |
let
|
haftmann@34246
|
525 |
val ctxt = ProofContext.init thy;
|
haftmann@28706
|
526 |
val (_, (gr, (_, idx_tab))) =
|
haftmann@34246
|
527 |
Nbe_Functions.change thy (ensure_stmts ctxt naming program o snd);
|
haftmann@26064
|
528 |
in
|
haftmann@30947
|
529 |
vs_t
|
haftmann@34246
|
530 |
|> eval_term ctxt gr deps
|
haftmann@34246
|
531 |
|> term_of_univ thy program idx_tab
|
haftmann@26064
|
532 |
end;
|
haftmann@25101
|
533 |
|
haftmann@35371
|
534 |
|
haftmann@24155
|
535 |
(* evaluation with type reconstruction *)
|
haftmann@24155
|
536 |
|
haftmann@31064
|
537 |
fun normalize thy naming program ((vs0, (vs, ty)), t) deps =
|
haftmann@24155
|
538 |
let
|
haftmann@30947
|
539 |
val ty' = typ_of_itype program vs0 ty;
|
wenzelm@27264
|
540 |
fun type_infer t =
|
wenzelm@27264
|
541 |
singleton (TypeInfer.infer_types (Syntax.pp_global thy) (Sign.tsig_of thy) I
|
wenzelm@27264
|
542 |
(try (Type.strip_sorts o Sign.the_const_type thy)) (K NONE) Name.context 0)
|
haftmann@30947
|
543 |
(TypeInfer.constrain ty' t);
|
wenzelm@29272
|
544 |
fun check_tvars t = if null (Term.add_tvars t []) then t else
|
haftmann@24155
|
545 |
error ("Illegal schematic type variables in normalized term: "
|
wenzelm@32966
|
546 |
^ setmp_CRITICAL show_types true (Syntax.string_of_term_global thy) t);
|
wenzelm@32966
|
547 |
val string_of_term = setmp_CRITICAL show_types true (Syntax.string_of_term_global thy);
|
haftmann@24155
|
548 |
in
|
haftmann@30947
|
549 |
compile_eval thy naming program (vs, t) deps
|
haftmann@32544
|
550 |
|> traced (fn t => "Normalized:\n" ^ string_of_term t)
|
haftmann@26739
|
551 |
|> type_infer
|
haftmann@32544
|
552 |
|> traced (fn t => "Types inferred:\n" ^ string_of_term t)
|
haftmann@26739
|
553 |
|> check_tvars
|
haftmann@32544
|
554 |
|> traced (fn t => "---\n")
|
haftmann@24155
|
555 |
end;
|
haftmann@24155
|
556 |
|
haftmann@32544
|
557 |
|
haftmann@24155
|
558 |
(* evaluation oracle *)
|
haftmann@24155
|
559 |
|
haftmann@30947
|
560 |
fun mk_equals thy lhs raw_rhs =
|
haftmann@26747
|
561 |
let
|
haftmann@30947
|
562 |
val ty = Thm.typ_of (Thm.ctyp_of_term lhs);
|
haftmann@30947
|
563 |
val eq = Thm.cterm_of thy (Term.Const ("==", ty --> ty --> propT));
|
haftmann@30947
|
564 |
val rhs = Thm.cterm_of thy raw_rhs;
|
haftmann@30947
|
565 |
in Thm.mk_binop eq lhs rhs end;
|
haftmann@26747
|
566 |
|
haftmann@30942
|
567 |
val (_, raw_norm_oracle) = Context.>>> (Context.map_theory_result
|
haftmann@31064
|
568 |
(Thm.add_oracle (Binding.name "norm", fn (thy, naming, program, vsp_ty_t, deps, ct) =>
|
haftmann@31064
|
569 |
mk_equals thy ct (normalize thy naming program vsp_ty_t deps))));
|
haftmann@30942
|
570 |
|
haftmann@31064
|
571 |
fun norm_oracle thy naming program vsp_ty_t deps ct =
|
haftmann@31064
|
572 |
raw_norm_oracle (thy, naming, program, vsp_ty_t, deps, ct);
|
haftmann@30942
|
573 |
|
haftmann@31064
|
574 |
fun no_frees_conv conv ct =
|
haftmann@31064
|
575 |
let
|
haftmann@31064
|
576 |
val frees = Thm.add_cterm_frees ct [];
|
haftmann@31064
|
577 |
fun apply_beta free thm = Thm.combination thm (Thm.reflexive free)
|
haftmann@31064
|
578 |
|> Conv.fconv_rule (Conv.arg_conv (Conv.try_conv (Thm.beta_conversion false)))
|
haftmann@31064
|
579 |
|> Conv.fconv_rule (Conv.arg1_conv (Thm.beta_conversion false));
|
haftmann@31064
|
580 |
in
|
haftmann@31064
|
581 |
ct
|
haftmann@31064
|
582 |
|> fold_rev Thm.cabs frees
|
haftmann@31064
|
583 |
|> conv
|
haftmann@31064
|
584 |
|> fold apply_beta frees
|
haftmann@31064
|
585 |
end;
|
haftmann@31064
|
586 |
|
haftmann@31064
|
587 |
fun no_frees_rew rew t =
|
haftmann@31064
|
588 |
let
|
haftmann@31064
|
589 |
val frees = map Free (Term.add_frees t []);
|
haftmann@31064
|
590 |
in
|
haftmann@31064
|
591 |
t
|
haftmann@31064
|
592 |
|> fold_rev lambda frees
|
haftmann@31064
|
593 |
|> rew
|
haftmann@31064
|
594 |
|> (fn t' => Term.betapplys (t', frees))
|
haftmann@31064
|
595 |
end;
|
haftmann@31064
|
596 |
|
haftmann@31064
|
597 |
val norm_conv = no_frees_conv (fn ct =>
|
haftmann@24155
|
598 |
let
|
haftmann@24155
|
599 |
val thy = Thm.theory_of_cterm ct;
|
haftmann@32544
|
600 |
in lift_triv_classes_conv thy (Code_Thingol.eval_conv thy (norm_oracle thy)) ct end);
|
haftmann@24155
|
601 |
|
haftmann@32544
|
602 |
fun norm thy = lift_triv_classes_rew thy (no_frees_rew (Code_Thingol.eval thy I (normalize thy)));
|
haftmann@24839
|
603 |
|
haftmann@35371
|
604 |
|
haftmann@24155
|
605 |
(* evaluation command *)
|
haftmann@24155
|
606 |
|
haftmann@24155
|
607 |
fun norm_print_term ctxt modes t =
|
haftmann@24155
|
608 |
let
|
haftmann@24155
|
609 |
val thy = ProofContext.theory_of ctxt;
|
haftmann@30970
|
610 |
val t' = norm thy t;
|
haftmann@24839
|
611 |
val ty' = Term.type_of t';
|
wenzelm@26952
|
612 |
val ctxt' = Variable.auto_fixes t ctxt;
|
wenzelm@24634
|
613 |
val p = PrintMode.with_modes modes (fn () =>
|
wenzelm@26952
|
614 |
Pretty.block [Pretty.quote (Syntax.pretty_term ctxt' t'), Pretty.fbrk,
|
wenzelm@26952
|
615 |
Pretty.str "::", Pretty.brk 1, Pretty.quote (Syntax.pretty_typ ctxt' ty')]) ();
|
haftmann@24155
|
616 |
in Pretty.writeln p end;
|
haftmann@24155
|
617 |
|
haftmann@24155
|
618 |
|
haftmann@24155
|
619 |
(** Isar setup **)
|
haftmann@24155
|
620 |
|
wenzelm@24508
|
621 |
fun norm_print_term_cmd (modes, s) state =
|
haftmann@24155
|
622 |
let val ctxt = Toplevel.context_of state
|
wenzelm@24508
|
623 |
in norm_print_term ctxt modes (Syntax.read_term ctxt s) end;
|
haftmann@24155
|
624 |
|
haftmann@30970
|
625 |
val setup = Value.add_evaluator ("nbe", norm o ProofContext.theory_of);
|
haftmann@24155
|
626 |
|
haftmann@24155
|
627 |
local structure P = OuterParse and K = OuterKeyword in
|
haftmann@24155
|
628 |
|
haftmann@24155
|
629 |
val opt_modes = Scan.optional (P.$$$ "(" |-- P.!!! (Scan.repeat1 P.xname --| P.$$$ ")")) [];
|
haftmann@24155
|
630 |
|
wenzelm@24867
|
631 |
val _ =
|
haftmann@24155
|
632 |
OuterSyntax.improper_command "normal_form" "normalize term by evaluation" K.diag
|
haftmann@28227
|
633 |
(opt_modes -- P.term >> (Toplevel.keep o norm_print_term_cmd));
|
haftmann@24155
|
634 |
|
haftmann@24155
|
635 |
end;
|
haftmann@24155
|
636 |
|
haftmann@24155
|
637 |
end;
|
haftmann@28337
|
638 |
|