1 (* Title: Tools/code/code_thingol.ML
2 Author: Florian Haftmann, TU Muenchen
4 Intermediate language ("Thin-gol") representing executable code.
5 Representation and translation.
14 signature BASIC_CODE_THINGOL =
18 DictConst of string * dict list list
19 | DictVar of string list * (vname * (int * int));
21 `%% of string * itype list
23 type const = string * (dict list list * itype list (*types of arguments*))
28 | `|-> of (vname * itype) * iterm
29 | ICase of ((iterm * itype) * (iterm * iterm) list) * iterm;
30 (*((term, type), [(selector pattern, body term )]), primitive term)*)
31 val `$$ : iterm * iterm list -> iterm;
32 val `|--> : (vname * itype) list * iterm -> iterm;
33 type typscheme = (vname * sort) list * itype;
36 signature CODE_THINGOL =
38 include BASIC_CODE_THINGOL
39 val unfoldl: ('a -> ('a * 'b) option) -> 'a -> 'a * 'b list
40 val unfoldr: ('a -> ('b * 'a) option) -> 'a -> 'b list * 'a
41 val unfold_fun: itype -> itype list * itype
42 val unfold_app: iterm -> iterm * iterm list
43 val split_abs: iterm -> (((vname * iterm option) * itype) * iterm) option
44 val unfold_abs: iterm -> ((vname * iterm option) * itype) list * iterm
45 val split_let: iterm -> (((iterm * itype) * iterm) * iterm) option
46 val unfold_let: iterm -> ((iterm * itype) * iterm) list * iterm
47 val unfold_const_app: iterm ->
48 ((string * (dict list list * itype list)) * iterm list) option
49 val collapse_let: ((vname * itype) * iterm) * iterm
50 -> (iterm * itype) * (iterm * iterm) list
51 val eta_expand: int -> (string * (dict list list * itype list)) * iterm list -> iterm
52 val contains_dictvar: iterm -> bool
53 val locally_monomorphic: iterm -> bool
54 val fold_constnames: (string -> 'a -> 'a) -> iterm -> 'a -> 'a
55 val fold_varnames: (string -> 'a -> 'a) -> iterm -> 'a -> 'a
56 val fold_unbound_varnames: (string -> 'a -> 'a) -> iterm -> 'a -> 'a
59 val empty_naming: naming
60 val lookup_class: naming -> class -> string option
61 val lookup_classrel: naming -> class * class -> string option
62 val lookup_tyco: naming -> string -> string option
63 val lookup_instance: naming -> class * string -> string option
64 val lookup_const: naming -> string -> string option
68 | Fun of string * (typscheme * ((iterm list * iterm) * (thm * bool)) list)
69 | Datatype of string * ((vname * sort) list * (string * itype list) list)
70 | Datatypecons of string * string
71 | Class of class * (vname * ((class * string) list * (string * itype) list))
72 | Classrel of class * class
73 | Classparam of string * class
74 | Classinst of (class * (string * (vname * sort) list))
75 * ((class * (string * (string * dict list list))) list
76 * ((string * const) * (thm * bool)) list)
77 type program = stmt Graph.T
78 val empty_funs: program -> string list
79 val map_terms_bottom_up: (iterm -> iterm) -> iterm -> iterm
80 val map_terms_stmt: (iterm -> iterm) -> stmt -> stmt
81 val is_cons: program -> string -> bool
82 val contr_classparam_typs: program -> string -> itype option list
84 val consts_program: theory -> string list -> string list * (naming * program)
85 val cached_program: theory -> naming * program
87 -> (term -> term * (naming -> program -> typscheme * iterm -> string list -> thm))
90 -> (term -> term * (naming -> program -> typscheme * iterm -> string list -> 'a))
94 structure Code_Thingol: CODE_THINGOL =
103 let val (x', xs') = unfoldl dest x1 in (x', xs' @ [x2]) end;
109 let val (xs', x') = unfoldr dest x2 in (x1::xs', x') end;
112 (** language core - types, terms **)
117 DictConst of string * dict list list
118 | DictVar of string list * (vname * (int * int));
121 `%% of string * itype list
124 type const = string * (dict list list * itype list (*types of arguments*))
129 | `$ of iterm * iterm
130 | `|-> of (vname * itype) * iterm
131 | ICase of ((iterm * itype) * (iterm * iterm) list) * iterm;
132 (*see also signature*)
134 val op `$$ = Library.foldl (op `$);
135 val op `|--> = Library.foldr (op `|->);
137 val unfold_app = unfoldl
138 (fn op `$ t => SOME t
142 (fn (v, ty) `|-> (t as ICase (((IVar w, _), [(p, t')]), _)) =>
143 if v = w then SOME (((v, SOME p), ty), t') else SOME (((v, NONE), ty), t)
144 | (v, ty) `|-> t => SOME (((v, NONE), ty), t)
147 val unfold_abs = unfoldr split_abs;
150 (fn ICase (((td, ty), [(p, t)]), _) => SOME (((p, ty), td), t)
153 val unfold_let = unfoldr split_let;
155 fun unfold_const_app t =
157 of (IConst c, ts) => SOME (c, ts)
160 fun fold_aiterms f (t as IConst _) = f t
161 | fold_aiterms f (t as IVar _) = f t
162 | fold_aiterms f (t1 `$ t2) = fold_aiterms f t1 #> fold_aiterms f t2
163 | fold_aiterms f (t as _ `|-> t') = f t #> fold_aiterms f t'
164 | fold_aiterms f (ICase (_, t)) = fold_aiterms f t;
166 fun fold_constnames f =
168 fun add (IConst (c, _)) = f c
170 in fold_aiterms add end;
172 fun fold_varnames f =
174 fun add (IVar v) = f v
175 | add ((v, _) `|-> _) = f v
177 in fold_aiterms add end;
179 fun fold_unbound_varnames f =
181 fun add _ (IConst _) = I
182 | add vs (IVar v) = if not (member (op =) vs v) then f v else I
183 | add vs (t1 `$ t2) = add vs t1 #> add vs t2
184 | add vs ((v, _) `|-> t) = add (insert (op =) v vs) t
185 | add vs (ICase (_, t)) = add vs t;
188 fun collapse_let (((v, ty), se), be as ICase (((IVar w, _), ds), _)) =
190 fun exists_v t = fold_unbound_varnames (fn w => fn b =>
191 b orelse v = w) t false;
192 in if v = w andalso forall (fn (t1, t2) =>
193 exists_v t1 orelse not (exists_v t2)) ds
195 else ((se, ty), [(IVar v, be)])
197 | collapse_let (((v, ty), se), be) =
198 ((se, ty), [(IVar v, be)])
200 fun eta_expand k (c as (_, (_, tys)), ts) =
204 val ctxt = (fold o fold_varnames) Name.declare ts Name.context;
205 val vs_tys = Name.names ctxt "a" ((curry Library.take l o curry Library.drop j) tys);
206 in vs_tys `|--> IConst c `$$ ts @ map (fn (v, _) => IVar v) vs_tys end;
208 fun contains_dictvar t =
210 fun contains (DictConst (_, dss)) = (fold o fold) contains dss
211 | contains (DictVar _) = K true;
214 (fn IConst (_, (dss, _)) => (fold o fold) contains dss | _ => I) t false
217 fun locally_monomorphic (IConst _) = false
218 | locally_monomorphic (IVar _) = true
219 | locally_monomorphic (t `$ _) = locally_monomorphic t
220 | locally_monomorphic (_ `|-> t) = locally_monomorphic t
221 | locally_monomorphic (ICase ((_, ds), _)) = exists (locally_monomorphic o snd) ds;
229 fun thyname_of thy f x = the (AList.lookup (op =) (f x) Markup.theory_nameN);
230 fun thyname_of_class thy =
231 thyname_of thy (ProofContext.query_class (ProofContext.init thy));
232 fun thyname_of_tyco thy =
233 thyname_of thy (Type.the_tags (Sign.tsig_of thy));
234 fun thyname_of_instance thy inst = case AxClass.arity_property thy inst Markup.theory_nameN
235 of [] => error ("no such instance: " ^ quote (snd inst ^ " :: " ^ fst inst))
236 | thyname :: _ => thyname;
237 fun thyname_of_const thy c = case AxClass.class_of_param thy c
238 of SOME class => thyname_of_class thy class
239 | NONE => (case Code.get_datatype_of_constr thy c
240 of SOME dtco => thyname_of_tyco thy dtco
241 | NONE => thyname_of thy (Consts.the_tags (Sign.consts_of thy)) c);
242 fun namify thy get_basename get_thyname name =
244 val prefix = get_thyname thy name;
245 val base = (Code_Name.purify_base o get_basename) name;
246 in Long_Name.append prefix base end;
249 fun namify_class thy = namify thy Long_Name.base_name thyname_of_class;
250 fun namify_classrel thy = namify thy (fn (class1, class2) =>
251 Long_Name.base_name class2 ^ "_" ^ Long_Name.base_name class1) (fn thy => thyname_of_class thy o fst);
252 (*order fits nicely with composed projections*)
253 fun namify_tyco thy "fun" = "Pure.fun"
254 | namify_tyco thy tyco = namify thy Long_Name.base_name thyname_of_tyco tyco;
255 fun namify_instance thy = namify thy (fn (class, tyco) =>
256 Long_Name.base_name class ^ "_" ^ Long_Name.base_name tyco) thyname_of_instance;
257 fun namify_const thy = namify thy Long_Name.base_name thyname_of_const;
264 datatype naming = Naming of {
265 class: class Symtab.table * Name.context,
266 classrel: string Symreltab.table * Name.context,
267 tyco: string Symtab.table * Name.context,
268 instance: string Symreltab.table * Name.context,
269 const: string Symtab.table * Name.context
272 fun dest_Naming (Naming naming) = naming;
274 val empty_naming = Naming {
275 class = (Symtab.empty, Name.context),
276 classrel = (Symreltab.empty, Name.context),
277 tyco = (Symtab.empty, Name.context),
278 instance = (Symreltab.empty, Name.context),
279 const = (Symtab.empty, Name.context)
283 fun mk_naming (class, classrel, tyco, instance, const) =
284 Naming { class = class, classrel = classrel,
285 tyco = tyco, instance = instance, const = const };
286 fun map_naming f (Naming { class, classrel, tyco, instance, const }) =
287 mk_naming (f (class, classrel, tyco, instance, const));
289 fun map_class f = map_naming
290 (fn (class, classrel, tyco, inst, const) =>
291 (f class, classrel, tyco, inst, const));
292 fun map_classrel f = map_naming
293 (fn (class, classrel, tyco, inst, const) =>
294 (class, f classrel, tyco, inst, const));
295 fun map_tyco f = map_naming
296 (fn (class, classrel, tyco, inst, const) =>
297 (class, classrel, f tyco, inst, const));
298 fun map_instance f = map_naming
299 (fn (class, classrel, tyco, inst, const) =>
300 (class, classrel, tyco, f inst, const));
301 fun map_const f = map_naming
302 (fn (class, classrel, tyco, inst, const) =>
303 (class, classrel, tyco, inst, f const));
306 fun add_variant update (thing, name) (tab, used) =
308 val (name', used') = yield_singleton Name.variants name used;
309 val tab' = update (thing, name') tab;
310 in (tab', used') end;
312 fun declare thy mapp lookup update namify thing =
313 mapp (add_variant update (thing, namify thy thing))
314 #> `(fn naming => the (lookup naming thing));
317 (* lookup and declare *)
321 val suffix_class = "class";
322 val suffix_classrel = "classrel"
323 val suffix_tyco = "tyco";
324 val suffix_instance = "inst";
325 val suffix_const = "const";
327 fun add_suffix nsp NONE = NONE
328 | add_suffix nsp (SOME name) = SOME (Long_Name.append name nsp);
332 val lookup_class = add_suffix suffix_class
333 oo Symtab.lookup o fst o #class o dest_Naming;
334 val lookup_classrel = add_suffix suffix_classrel
335 oo Symreltab.lookup o fst o #classrel o dest_Naming;
336 val lookup_tyco = add_suffix suffix_tyco
337 oo Symtab.lookup o fst o #tyco o dest_Naming;
338 val lookup_instance = add_suffix suffix_instance
339 oo Symreltab.lookup o fst o #instance o dest_Naming;
340 val lookup_const = add_suffix suffix_const
341 oo Symtab.lookup o fst o #const o dest_Naming;
343 fun declare_class thy = declare thy map_class
344 lookup_class Symtab.update_new namify_class;
345 fun declare_classrel thy = declare thy map_classrel
346 lookup_classrel Symreltab.update_new namify_classrel;
347 fun declare_tyco thy = declare thy map_tyco
348 lookup_tyco Symtab.update_new namify_tyco;
349 fun declare_instance thy = declare thy map_instance
350 lookup_instance Symreltab.update_new namify_instance;
351 fun declare_const thy = declare thy map_const
352 lookup_const Symtab.update_new namify_const;
354 val unfold_fun = unfoldr
355 (fn "Pure.fun.tyco" `%% [ty1, ty2] => SOME (ty1, ty2)
356 | _ => NONE); (*depends on suffix_tyco and namify_tyco!*)
361 (** statements, abstract programs **)
363 type typscheme = (vname * sort) list * itype;
366 | Fun of string * (typscheme * ((iterm list * iterm) * (thm * bool)) list)
367 | Datatype of string * ((vname * sort) list * (string * itype list) list)
368 | Datatypecons of string * string
369 | Class of class * (vname * ((class * string) list * (string * itype) list))
370 | Classrel of class * class
371 | Classparam of string * class
372 | Classinst of (class * (string * (vname * sort) list))
373 * ((class * (string * (string * dict list list))) list
374 * ((string * const) * (thm * bool)) list);
376 type program = stmt Graph.T;
378 fun empty_funs program =
379 Graph.fold (fn (name, (Fun (c, (_, [])), _)) => cons c
380 | _ => I) program [];
382 fun map_terms_bottom_up f (t as IConst _) = f t
383 | map_terms_bottom_up f (t as IVar _) = f t
384 | map_terms_bottom_up f (t1 `$ t2) = f
385 (map_terms_bottom_up f t1 `$ map_terms_bottom_up f t2)
386 | map_terms_bottom_up f ((v, ty) `|-> t) = f
387 ((v, ty) `|-> map_terms_bottom_up f t)
388 | map_terms_bottom_up f (ICase (((t, ty), ps), t0)) = f
389 (ICase (((map_terms_bottom_up f t, ty), (map o pairself)
390 (map_terms_bottom_up f) ps), map_terms_bottom_up f t0));
392 fun map_terms_stmt f NoStmt = NoStmt
393 | map_terms_stmt f (Fun (c, (tysm, eqs))) = Fun (c, (tysm, (map o apfst)
394 (fn (ts, t) => (map f ts, f t)) eqs))
395 | map_terms_stmt f (stmt as Datatype _) = stmt
396 | map_terms_stmt f (stmt as Datatypecons _) = stmt
397 | map_terms_stmt f (stmt as Class _) = stmt
398 | map_terms_stmt f (stmt as Classrel _) = stmt
399 | map_terms_stmt f (stmt as Classparam _) = stmt
400 | map_terms_stmt f (Classinst (arity, (superarities, classparms))) =
401 Classinst (arity, (superarities, (map o apfst o apsnd) (fn const =>
402 case f (IConst const) of IConst const' => const') classparms));
404 fun is_cons program name = case Graph.get_node program name
405 of Datatypecons _ => true
408 fun contr_classparam_typs program name = case Graph.get_node program name
409 of Classparam (_, class) => let
410 val Class (_, (_, (_, params))) = Graph.get_node program class;
411 val SOME ty = AList.lookup (op =) params name;
412 val (tys, res_ty) = unfold_fun ty;
413 fun no_tyvar (_ `%% tys) = forall no_tyvar tys
414 | no_tyvar (ITyVar _) = false;
415 in if no_tyvar res_ty
416 then map (fn ty => if no_tyvar ty then NONE else SOME ty) tys
422 (** translation kernel **)
424 (* generic mechanisms *)
426 fun ensure_stmt lookup declare generate thing (dep, (naming, program)) =
428 fun add_dep name = case dep of NONE => I
429 | SOME dep => Graph.add_edge (dep, name);
430 val (name, naming') = case lookup naming thing
431 of SOME name => (name, naming)
432 | NONE => declare thing naming;
433 in case try (Graph.get_node program) name
434 of SOME stmt => program
440 |> Graph.default_node (name, NoStmt)
443 |> curry generate (SOME name)
445 |-> (fn stmt => (apsnd o Graph.map_node name) (K stmt))
450 fun not_wellsorted thy thm ty sort e =
452 val err_class = Sorts.class_error (Syntax.pp_global thy) e;
453 val err_thm = case thm
454 of SOME thm => "\n(in code equation " ^ Display.string_of_thm thm ^ ")" | NONE => "";
455 val err_typ = "Type " ^ Syntax.string_of_typ_global thy ty ^ " not of sort "
456 ^ Syntax.string_of_sort_global thy sort;
457 in error ("Wellsortedness error" ^ err_thm ^ ":\n" ^ err_typ ^ "\n" ^ err_class) end;
462 fun ensure_class thy (algbr as (_, algebra)) funcgr class =
464 val superclasses = (Sorts.minimize_sort algebra o Sorts.super_classes algebra) class;
465 val cs = #params (AxClass.get_info thy class);
467 fold_map (fn superclass => ensure_class thy algbr funcgr superclass
468 ##>> ensure_classrel thy algbr funcgr (class, superclass)) superclasses
469 ##>> fold_map (fn (c, ty) => ensure_const thy algbr funcgr c
470 ##>> translate_typ thy algbr funcgr ty) cs
471 #>> (fn info => Class (class, (unprefix "'" Name.aT, info)))
472 in ensure_stmt lookup_class (declare_class thy) stmt_class class end
473 and ensure_classrel thy algbr funcgr (subclass, superclass) =
476 ensure_class thy algbr funcgr subclass
477 ##>> ensure_class thy algbr funcgr superclass
479 in ensure_stmt lookup_classrel (declare_classrel thy) stmt_classrel (subclass, superclass) end
480 and ensure_tyco thy algbr funcgr tyco =
484 val (vs, cos) = Code.get_datatype thy tyco;
486 fold_map (translate_tyvar_sort thy algbr funcgr) vs
487 ##>> fold_map (fn (c, tys) =>
488 ensure_const thy algbr funcgr c
489 ##>> fold_map (translate_typ thy algbr funcgr) tys) cos
490 #>> (fn info => Datatype (tyco, info))
492 in ensure_stmt lookup_tyco (declare_tyco thy) stmt_datatype tyco end
493 and translate_tyvar_sort thy (algbr as (proj_sort, _)) funcgr (v, sort) =
494 fold_map (ensure_class thy algbr funcgr) (proj_sort sort)
495 #>> (fn sort => (unprefix "'" v, sort))
496 and translate_typ thy algbr funcgr (TFree (v, _)) =
497 pair (ITyVar (unprefix "'" v))
498 | translate_typ thy algbr funcgr (Type (tyco, tys)) =
499 ensure_tyco thy algbr funcgr tyco
500 ##>> fold_map (translate_typ thy algbr funcgr) tys
501 #>> (fn (tyco, tys) => tyco `%% tys)
502 and translate_dicts thy (algbr as (proj_sort, algebra)) funcgr thm (ty, sort) =
504 val pp = Syntax.pp_global thy;
506 Global of (class * string) * typarg list list
507 | Local of (class * class) list * (string * (int * sort));
508 fun class_relation (Global ((_, tyco), yss), _) class =
509 Global ((class, tyco), yss)
510 | class_relation (Local (classrels, v), subclass) superclass =
511 Local ((subclass, superclass) :: classrels, v);
512 fun type_constructor tyco yss class =
513 Global ((class, tyco), (map o map) fst yss);
514 fun type_variable (TFree (v, sort)) =
516 val sort' = proj_sort sort;
517 in map_index (fn (n, class) => (Local ([], (v, (n, sort'))), class)) sort' end;
518 val typargs = Sorts.of_sort_derivation pp algebra
519 {class_relation = class_relation, type_constructor = type_constructor,
520 type_variable = type_variable} (ty, proj_sort sort)
521 handle Sorts.CLASS_ERROR e => not_wellsorted thy thm ty sort e;
522 fun mk_dict (Global (inst, yss)) =
523 ensure_inst thy algbr funcgr inst
524 ##>> (fold_map o fold_map) mk_dict yss
525 #>> (fn (inst, dss) => DictConst (inst, dss))
526 | mk_dict (Local (classrels, (v, (k, sort)))) =
527 fold_map (ensure_classrel thy algbr funcgr) classrels
528 #>> (fn classrels => DictVar (classrels, (unprefix "'" v, (k, length sort))))
529 in fold_map mk_dict typargs end
530 and translate_eq thy algbr funcgr (thm, linear) =
532 val (args, rhs) = (apfst (snd o strip_comb) o Logic.dest_equals
533 o Logic.unvarify o prop_of) thm;
535 fold_map (translate_term thy algbr funcgr (SOME thm)) args
536 ##>> translate_term thy algbr funcgr (SOME thm) rhs
537 #>> rpair (thm, linear)
539 and ensure_inst thy (algbr as (_, algebra)) funcgr (class, tyco) =
541 val superclasses = (Sorts.minimize_sort algebra o Sorts.super_classes algebra) class;
542 val classparams = these (try (#params o AxClass.get_info thy) class);
543 val vs = Name.names Name.context "'a" (Sorts.mg_domain algebra tyco [class]);
544 val sorts' = Sorts.mg_domain (Sign.classes_of thy) tyco [class];
545 val vs' = map2 (fn (v, sort1) => fn sort2 => (v,
546 Sorts.inter_sort (Sign.classes_of thy) (sort1, sort2))) vs sorts';
547 val arity_typ = Type (tyco, map TFree vs);
548 val arity_typ' = Type (tyco, map (fn (v, sort) => TVar ((v, 0), sort)) vs');
549 fun translate_superarity superclass =
550 ensure_class thy algbr funcgr superclass
551 ##>> ensure_classrel thy algbr funcgr (class, superclass)
552 ##>> translate_dicts thy algbr funcgr NONE (arity_typ, [superclass])
553 #>> (fn ((superclass, classrel), [DictConst (inst, dss)]) =>
554 (superclass, (classrel, (inst, dss))));
555 fun translate_classparam_inst (c, ty) =
557 val c_inst = Const (c, map_type_tfree (K arity_typ') ty);
558 val thm = AxClass.unoverload_conv thy (Thm.cterm_of thy c_inst);
559 val c_ty = (apsnd Logic.unvarifyT o dest_Const o snd
560 o Logic.dest_equals o Thm.prop_of) thm;
562 ensure_const thy algbr funcgr c
563 ##>> translate_const thy algbr funcgr (SOME thm) c_ty
564 #>> (fn (c, IConst c_inst) => ((c, c_inst), (thm, true)))
567 ensure_class thy algbr funcgr class
568 ##>> ensure_tyco thy algbr funcgr tyco
569 ##>> fold_map (translate_tyvar_sort thy algbr funcgr) vs
570 ##>> fold_map translate_superarity superclasses
571 ##>> fold_map translate_classparam_inst classparams
572 #>> (fn ((((class, tyco), arity), superarities), classparams) =>
573 Classinst ((class, (tyco, arity)), (superarities, classparams)));
574 in ensure_stmt lookup_instance (declare_instance thy) stmt_inst (class, tyco) end
575 and ensure_const thy algbr funcgr c =
577 fun stmt_datatypecons tyco =
578 ensure_tyco thy algbr funcgr tyco
579 #>> (fn tyco => Datatypecons (c, tyco));
580 fun stmt_classparam class =
581 ensure_class thy algbr funcgr class
582 #>> (fn class => Classparam (c, class));
583 fun stmt_fun ((vs, ty), raw_thms) =
585 val thms = if null (Term.add_tfreesT ty []) orelse (null o fst o strip_type) ty
587 else (map o apfst) (Code_Unit.expand_eta thy 1) raw_thms;
589 fold_map (translate_tyvar_sort thy algbr funcgr) vs
590 ##>> translate_typ thy algbr funcgr ty
591 ##>> fold_map (translate_eq thy algbr funcgr) thms
592 #>> (fn info => Fun (c, info))
594 val stmt_const = case Code.get_datatype_of_constr thy c
595 of SOME tyco => stmt_datatypecons tyco
596 | NONE => (case AxClass.class_of_param thy c
597 of SOME class => stmt_classparam class
598 | NONE => stmt_fun (Code_Wellsorted.typ funcgr c, Code_Wellsorted.eqns funcgr c))
599 in ensure_stmt lookup_const (declare_const thy) stmt_const c end
600 and translate_term thy algbr funcgr thm (Const (c, ty)) =
601 translate_app thy algbr funcgr thm ((c, ty), [])
602 | translate_term thy algbr funcgr thm (Free (v, _)) =
604 | translate_term thy algbr funcgr thm (Abs (abs as (_, ty, _))) =
606 val (v, t) = Syntax.variant_abs abs;
608 translate_typ thy algbr funcgr ty
609 ##>> translate_term thy algbr funcgr thm t
610 #>> (fn (ty, t) => (v, ty) `|-> t)
612 | translate_term thy algbr funcgr thm (t as _ $ _) =
614 of (Const (c, ty), ts) =>
615 translate_app thy algbr funcgr thm ((c, ty), ts)
617 translate_term thy algbr funcgr thm t'
618 ##>> fold_map (translate_term thy algbr funcgr thm) ts
619 #>> (fn (t, ts) => t `$$ ts)
620 and translate_const thy algbr funcgr thm (c, ty) =
622 val tys = Sign.const_typargs thy (c, ty);
623 val sorts = (map snd o fst o Code_Wellsorted.typ funcgr) c;
624 val tys_args = (fst o Term.strip_type) ty;
626 ensure_const thy algbr funcgr c
627 ##>> fold_map (translate_dicts thy algbr funcgr thm) (tys ~~ sorts)
628 ##>> fold_map (translate_typ thy algbr funcgr) tys_args
629 #>> (fn ((c, iss), tys) => IConst (c, (iss, tys)))
631 and translate_app_const thy algbr funcgr thm (c_ty, ts) =
632 translate_const thy algbr funcgr thm c_ty
633 ##>> fold_map (translate_term thy algbr funcgr thm) ts
634 #>> (fn (t, ts) => t `$$ ts)
635 and translate_case thy algbr funcgr thm (num_args, (t_pos, case_pats)) (c_ty, ts) =
637 val (tys, _) = (chop num_args o fst o strip_type o snd) c_ty;
638 val t = nth ts t_pos;
639 val ty = nth tys t_pos;
640 val ts_clause = nth_drop t_pos ts;
641 fun mk_clause (co, num_co_args) t =
643 val (vs, body) = Term.strip_abs_eta num_co_args t;
644 val not_undefined = case body
645 of (Const (c, _)) => not (Code.is_undefined thy c)
647 val pat = list_comb (Const (co, map snd vs ---> ty), map Free vs);
648 in (not_undefined, (pat, body)) end;
649 val clauses = if null case_pats then let val ([v_ty], body) =
650 Term.strip_abs_eta 1 (the_single ts_clause)
651 in [(true, (Free v_ty, body))] end
652 else map (uncurry mk_clause)
653 (AList.make (Code_Unit.no_args thy) case_pats ~~ ts_clause);
654 fun retermify ty (_, (IVar x, body)) =
656 | retermify _ (_, (pat, body)) =
658 val (IConst (_, (_, tys)), ts) = unfold_app pat;
659 val vs = map2 (fn IVar x => fn ty => (x, ty)) ts tys;
660 in vs `|--> body end;
661 fun mk_icase const t ty clauses =
663 val (ts1, ts2) = chop t_pos (map (retermify ty) clauses);
665 ICase (((t, ty), map_filter (fn (b, d) => if b then SOME d else NONE) clauses),
666 const `$$ (ts1 @ t :: ts2))
669 translate_const thy algbr funcgr thm c_ty
670 ##>> translate_term thy algbr funcgr thm t
671 ##>> translate_typ thy algbr funcgr ty
672 ##>> fold_map (fn (b, (pat, body)) => translate_term thy algbr funcgr thm pat
673 ##>> translate_term thy algbr funcgr thm body
675 #>> (fn (((const, t), ty), ds) => mk_icase const t ty ds)
677 and translate_app_case thy algbr funcgr thm (case_scheme as (num_args, _)) ((c, ty), ts) =
678 if length ts < num_args then
681 val tys = (curry Library.take (num_args - k) o curry Library.drop k o fst o strip_type) ty;
682 val ctxt = (fold o fold_aterms) Term.declare_term_frees ts Name.context;
683 val vs = Name.names ctxt "a" tys;
685 fold_map (translate_typ thy algbr funcgr) tys
686 ##>> translate_case thy algbr funcgr thm case_scheme ((c, ty), ts @ map Free vs)
687 #>> (fn (tys, t) => map2 (fn (v, _) => pair v) vs tys `|--> t)
689 else if length ts > num_args then
690 translate_case thy algbr funcgr thm case_scheme ((c, ty), Library.take (num_args, ts))
691 ##>> fold_map (translate_term thy algbr funcgr thm) (Library.drop (num_args, ts))
692 #>> (fn (t, ts) => t `$$ ts)
694 translate_case thy algbr funcgr thm case_scheme ((c, ty), ts)
695 and translate_app thy algbr funcgr thm (c_ty_ts as ((c, _), _)) =
696 case Code.get_case_scheme thy c
697 of SOME case_scheme => translate_app_case thy algbr funcgr thm case_scheme c_ty_ts
698 | NONE => translate_app_const thy algbr funcgr thm c_ty_ts;
703 structure Program = CodeDataFun
705 type T = naming * program;
706 val empty = (empty_naming, Graph.empty);
707 fun purge thy cs (naming, program) =
709 val names_delete = cs
710 |> map_filter (lookup_const naming)
711 |> filter (can (Graph.get_node program))
712 |> Graph.all_preds program;
713 val program' = Graph.del_nodes names_delete program;
714 in (naming, program') end;
717 val cached_program = Program.get;
719 fun invoke_generation thy (algebra, funcgr) f name =
720 Program.change_yield thy (fn naming_program => (NONE, naming_program)
721 |> f thy algebra funcgr name
722 |-> (fn name => fn (_, naming_program) => (name, naming_program)));
725 (* program generation *)
727 fun consts_program thy cs =
729 fun project_consts cs (naming, program) =
731 val cs_all = Graph.all_succs program cs;
732 in (cs, (naming, Graph.subgraph (member (op =) cs_all) program)) end;
733 fun generate_consts thy algebra funcgr =
734 fold_map (ensure_const thy algebra funcgr);
736 invoke_generation thy (Code_Wellsorted.make thy cs) generate_consts cs
741 (* value evaluation *)
743 fun ensure_value thy algbr funcgr t =
745 val ty = fastype_of t;
746 val vs = fold_term_types (K (fold_atyps (insert (eq_fst op =)
747 o dest_TFree))) t [];
749 fold_map (translate_tyvar_sort thy algbr funcgr) vs
750 ##>> translate_typ thy algbr funcgr ty
751 ##>> translate_term thy algbr funcgr NONE t
752 #>> (fn ((vs, ty), t) => Fun
753 (Term.dummy_patternN, ((vs, ty), [(([], t), (Drule.dummy_thm, true))])));
754 fun term_value (dep, (naming, program1)) =
756 val Fun (_, ((vs, ty), [(([], t), _)])) =
757 Graph.get_node program1 Term.dummy_patternN;
758 val deps = Graph.imm_succs program1 Term.dummy_patternN;
759 val program2 = Graph.del_nodes [Term.dummy_patternN] program1;
760 val deps_all = Graph.all_succs program2 deps;
761 val program3 = Graph.subgraph (member (op =) deps_all) program2;
762 in (((naming, program3), (((vs, ty), t), deps)), (dep, (naming, program2))) end;
764 ensure_stmt ((K o K) NONE) pair stmt_value Term.dummy_patternN
769 fun eval thy evaluator t =
771 val (t', evaluator'') = evaluator t;
772 fun evaluator' algebra funcgr =
774 val (((naming, program), (vs_ty_t, deps)), _) =
775 invoke_generation thy (algebra, funcgr) ensure_value t';
776 in evaluator'' naming program vs_ty_t deps end;
777 in (t', evaluator') end
779 fun eval_conv thy = Code_Wellsorted.eval_conv thy o eval thy;
780 fun eval_term thy = Code_Wellsorted.eval_term thy o eval thy;
785 structure Basic_Code_Thingol: BASIC_CODE_THINGOL = Code_Thingol;