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 * ((itype list * dict list list) * itype list (*types of arguments*))
26 | IVar of vname option
28 | `|=> of (vname option * 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 option * itype) list * iterm -> iterm;
33 type typscheme = (vname * sort) list * itype;
36 signature CODE_THINGOL =
38 include BASIC_CODE_THINGOL
40 val unfoldl: ('a -> ('a * 'b) option) -> 'a -> 'a * 'b list
41 val unfoldr: ('a -> ('b * 'a) option) -> 'a -> 'b list * 'a
42 val unfold_fun: itype -> itype list * itype
43 val unfold_fun_n: int -> itype -> itype list * itype
44 val unfold_app: iterm -> iterm * iterm list
45 val unfold_abs: iterm -> (vname option * itype) list * iterm
46 val split_let: iterm -> (((iterm * itype) * iterm) * iterm) option
47 val unfold_let: iterm -> ((iterm * itype) * iterm) list * iterm
48 val split_pat_abs: iterm -> ((iterm * itype) * iterm) option
49 val unfold_pat_abs: iterm -> (iterm * itype) list * iterm
50 val unfold_const_app: iterm -> (const * iterm list) option
51 val is_IVar: iterm -> bool
52 val eta_expand: int -> const * iterm list -> iterm
53 val contains_dictvar: iterm -> bool
54 val locally_monomorphic: iterm -> bool
55 val add_constnames: iterm -> string list -> string list
56 val add_tyconames: iterm -> string list -> string list
57 val fold_varnames: (string -> 'a -> 'a) -> iterm -> 'a -> 'a
60 val empty_naming: naming
61 val lookup_class: naming -> class -> string option
62 val lookup_classrel: naming -> class * class -> string option
63 val lookup_tyco: naming -> string -> string option
64 val lookup_instance: naming -> class * string -> string option
65 val lookup_const: naming -> string -> string option
66 val ensure_declared_const: theory -> string -> naming -> string * naming
70 | Fun of string * ((typscheme * ((iterm list * iterm) * (thm option * bool)) list) * thm option)
71 | Datatype of string * ((vname * sort) list *
72 ((string * vname list (*type argument wrt. canonical order*)) * itype list) list)
73 | Datatypecons of string * string
74 | Class of class * (vname * ((class * string) list * (string * itype) list))
75 | Classrel of class * class
76 | Classparam of string * class
77 | Classinst of (class * (string * (vname * sort) list) (*class and arity*))
78 * ((class * (string * (string * dict list list))) list (*super instances*)
79 * (((string * const) * (thm * bool)) list (*class parameter instances*)
80 * ((string * const) * (thm * bool)) list (*super class parameter instances*)))
81 type program = stmt Graph.T
82 val empty_funs: program -> string list
83 val map_terms_bottom_up: (iterm -> iterm) -> iterm -> iterm
84 val map_terms_stmt: (iterm -> iterm) -> stmt -> stmt
85 val is_cons: program -> string -> bool
86 val is_case: stmt -> bool
87 val contr_classparam_typs: program -> string -> itype option list
88 val labelled_name: theory -> program -> string -> string
89 val group_stmts: theory -> program
90 -> ((string * stmt) list * (string * stmt) list
91 * ((string * stmt) list * (string * stmt) list)) list
93 val read_const_exprs: theory -> string list -> string list * string list
94 val consts_program: theory -> bool -> string list -> string list * (naming * program)
95 val dynamic_eval_conv: theory
96 -> (naming -> program -> ((string * sort) list * typscheme) * iterm -> string list -> conv)
98 val dynamic_eval_value: theory -> ((term -> term) -> 'a -> 'a)
99 -> (naming -> program -> ((string * sort) list * typscheme) * iterm -> string list -> 'a)
101 val static_eval_conv: theory -> string list
102 -> (naming -> program -> ((string * sort) list * typscheme) * iterm -> string list -> conv)
104 val static_eval_conv_simple: theory -> string list
105 -> (program -> conv) -> conv
108 structure Code_Thingol: CODE_THINGOL =
117 let val (x', xs') = unfoldl dest x1 in (x', xs' @ [x2]) end;
123 let val (xs', x') = unfoldr dest x2 in (x1::xs', x') end;
126 (** language core - types, terms **)
131 DictConst of string * dict list list
132 | DictVar of string list * (vname * (int * int));
135 `%% of string * itype list
138 type const = string * ((itype list * dict list list) * itype list (*types of arguments*))
142 | IVar of vname option
143 | `$ of iterm * iterm
144 | `|=> of (vname option * itype) * iterm
145 | ICase of ((iterm * itype) * (iterm * iterm) list) * iterm;
146 (*see also signature*)
148 fun is_IVar (IVar _) = true
151 val op `$$ = Library.foldl (op `$);
152 val op `|==> = Library.foldr (op `|=>);
154 val unfold_app = unfoldl
155 (fn op `$ t => SOME t
158 val unfold_abs = unfoldr
159 (fn op `|=> t => SOME t
163 (fn ICase (((td, ty), [(p, t)]), _) => SOME (((p, ty), td), t)
166 val unfold_let = unfoldr split_let;
168 fun unfold_const_app t =
170 of (IConst c, ts) => SOME (c, ts)
173 fun fold_constexprs f =
175 fun fold' (IConst c) = f c
177 | fold' (t1 `$ t2) = fold' t1 #> fold' t2
178 | fold' (_ `|=> t) = fold' t
179 | fold' (ICase (((t, _), ds), _)) = fold' t
180 #> fold (fn (pat, body) => fold' pat #> fold' body) ds
183 val add_constnames = fold_constexprs (fn (c, _) => insert (op =) c);
185 fun add_tycos (tyco `%% tys) = insert (op =) tyco #> fold add_tycos tys
186 | add_tycos (ITyVar _) = I;
188 val add_tyconames = fold_constexprs (fn (_, ((tys, _), _)) => fold add_tycos tys);
190 fun fold_varnames f =
194 fun fold_term _ (IConst _) = I
195 | fold_term vs (IVar (SOME v)) = if member (op =) vs v then I else f v
196 | fold_term _ (IVar NONE) = I
197 | fold_term vs (t1 `$ t2) = fold_term vs t1 #> fold_term vs t2
198 | fold_term vs ((SOME v, _) `|=> t) = fold_term (insert (op =) v vs) t
199 | fold_term vs ((NONE, _) `|=> t) = fold_term vs t
200 | fold_term vs (ICase (((t, _), ds), _)) = fold_term vs t #> fold (fold_case vs) ds
201 and fold_case vs (p, t) = fold_term (add p vs) t;
203 fun add t = fold_aux add (insert (op =)) t;
204 in fold_aux add f end;
206 fun exists_var t v = fold_varnames (fn w => fn b => v = w orelse b) t false;
208 fun split_pat_abs ((NONE, ty) `|=> t) = SOME ((IVar NONE, ty), t)
209 | split_pat_abs ((SOME v, ty) `|=> t) = SOME (case t
210 of ICase (((IVar (SOME w), _), [(p, t')]), _) =>
211 if v = w andalso (exists_var p v orelse not (exists_var t' v))
213 else ((IVar (SOME v), ty), t)
214 | _ => ((IVar (SOME v), ty), t))
215 | split_pat_abs _ = NONE;
217 val unfold_pat_abs = unfoldr split_pat_abs;
219 fun unfold_abs_eta [] t = ([], t)
220 | unfold_abs_eta (_ :: tys) (v_ty `|=> t) =
222 val (vs_tys, t') = unfold_abs_eta tys t;
223 in (v_ty :: vs_tys, t') end
224 | unfold_abs_eta tys t =
226 val ctxt = fold_varnames Name.declare t Name.context;
227 val vs_tys = (map o apfst) SOME (Name.names ctxt "a" tys);
228 in (vs_tys, t `$$ map (IVar o fst) vs_tys) end;
230 fun eta_expand k (c as (name, (_, tys)), ts) =
234 val _ = if l > length tys
235 then error ("Impossible eta-expansion for constant " ^ quote name) else ();
236 val ctxt = (fold o fold_varnames) Name.declare ts Name.context;
237 val vs_tys = (map o apfst) SOME
238 (Name.names ctxt "a" ((take l o drop j) tys));
239 in vs_tys `|==> IConst c `$$ ts @ map (IVar o fst) vs_tys end;
241 fun contains_dictvar t =
243 fun cont_dict (DictConst (_, dss)) = (exists o exists) cont_dict dss
244 | cont_dict (DictVar _) = true;
245 fun cont_term (IConst (_, ((_, dss), _))) = (exists o exists) cont_dict dss
246 | cont_term (IVar _) = false
247 | cont_term (t1 `$ t2) = cont_term t1 orelse cont_term t2
248 | cont_term (_ `|=> t) = cont_term t
249 | cont_term (ICase (_, t)) = cont_term t;
252 fun locally_monomorphic (IConst _) = false
253 | locally_monomorphic (IVar _) = true
254 | locally_monomorphic (t `$ _) = locally_monomorphic t
255 | locally_monomorphic (_ `|=> t) = locally_monomorphic t
256 | locally_monomorphic (ICase ((_, ds), _)) = exists (locally_monomorphic o snd) ds;
264 fun thyname_of_class thy = #theory_name o Name_Space.the_entry (Sign.class_space thy);
265 fun thyname_of_instance thy inst = case AxClass.thynames_of_arity thy inst
266 of [] => error ("No such instance: " ^ quote (snd inst ^ " :: " ^ fst inst))
267 | thyname :: _ => thyname;
268 fun thyname_of_const thy c = case AxClass.class_of_param thy c
269 of SOME class => thyname_of_class thy class
270 | NONE => (case Code.get_type_of_constr_or_abstr thy c
271 of SOME (tyco, _) => Codegen.thyname_of_type thy tyco
272 | NONE => Codegen.thyname_of_const thy c);
273 fun purify_base "==>" = "follows"
274 | purify_base s = Name.desymbolize false s;
275 fun namify thy get_basename get_thyname name =
277 val prefix = get_thyname thy name;
278 val base = (purify_base o get_basename) name;
279 in Long_Name.append prefix base end;
282 fun namify_class thy = namify thy Long_Name.base_name thyname_of_class;
283 fun namify_classrel thy = namify thy (fn (sub_class, super_class) =>
284 Long_Name.base_name super_class ^ "_" ^ Long_Name.base_name sub_class)
285 (fn thy => thyname_of_class thy o fst);
286 (*order fits nicely with composed projections*)
287 fun namify_tyco thy "fun" = "Pure.fun"
288 | namify_tyco thy tyco = namify thy Long_Name.base_name Codegen.thyname_of_type tyco;
289 fun namify_instance thy = namify thy (fn (class, tyco) =>
290 Long_Name.base_name class ^ "_" ^ Long_Name.base_name tyco) thyname_of_instance;
291 fun namify_const thy = namify thy Long_Name.base_name thyname_of_const;
298 datatype naming = Naming of {
299 class: class Symtab.table * Name.context,
300 classrel: string Symreltab.table * Name.context,
301 tyco: string Symtab.table * Name.context,
302 instance: string Symreltab.table * Name.context,
303 const: string Symtab.table * Name.context
306 fun dest_Naming (Naming naming) = naming;
308 val empty_naming = Naming {
309 class = (Symtab.empty, Name.context),
310 classrel = (Symreltab.empty, Name.context),
311 tyco = (Symtab.empty, Name.context),
312 instance = (Symreltab.empty, Name.context),
313 const = (Symtab.empty, Name.context)
317 fun mk_naming (class, classrel, tyco, instance, const) =
318 Naming { class = class, classrel = classrel,
319 tyco = tyco, instance = instance, const = const };
320 fun map_naming f (Naming { class, classrel, tyco, instance, const }) =
321 mk_naming (f (class, classrel, tyco, instance, const));
323 fun map_class f = map_naming
324 (fn (class, classrel, tyco, inst, const) =>
325 (f class, classrel, tyco, inst, const));
326 fun map_classrel f = map_naming
327 (fn (class, classrel, tyco, inst, const) =>
328 (class, f classrel, tyco, inst, const));
329 fun map_tyco f = map_naming
330 (fn (class, classrel, tyco, inst, const) =>
331 (class, classrel, f tyco, inst, const));
332 fun map_instance f = map_naming
333 (fn (class, classrel, tyco, inst, const) =>
334 (class, classrel, tyco, f inst, const));
335 fun map_const f = map_naming
336 (fn (class, classrel, tyco, inst, const) =>
337 (class, classrel, tyco, inst, f const));
340 fun add_variant update (thing, name) (tab, used) =
342 val (name', used') = yield_singleton Name.variants name used;
343 val tab' = update (thing, name') tab;
344 in (tab', used') end;
346 fun declare thy mapp lookup update namify thing =
347 mapp (add_variant update (thing, namify thy thing))
348 #> `(fn naming => the (lookup naming thing));
351 (* lookup and declare *)
355 val suffix_class = "class";
356 val suffix_classrel = "classrel"
357 val suffix_tyco = "tyco";
358 val suffix_instance = "inst";
359 val suffix_const = "const";
361 fun add_suffix nsp NONE = NONE
362 | add_suffix nsp (SOME name) = SOME (Long_Name.append name nsp);
366 val lookup_class = add_suffix suffix_class
367 oo Symtab.lookup o fst o #class o dest_Naming;
368 val lookup_classrel = add_suffix suffix_classrel
369 oo Symreltab.lookup o fst o #classrel o dest_Naming;
370 val lookup_tyco = add_suffix suffix_tyco
371 oo Symtab.lookup o fst o #tyco o dest_Naming;
372 val lookup_instance = add_suffix suffix_instance
373 oo Symreltab.lookup o fst o #instance o dest_Naming;
374 val lookup_const = add_suffix suffix_const
375 oo Symtab.lookup o fst o #const o dest_Naming;
377 fun declare_class thy = declare thy map_class
378 lookup_class Symtab.update_new namify_class;
379 fun declare_classrel thy = declare thy map_classrel
380 lookup_classrel Symreltab.update_new namify_classrel;
381 fun declare_tyco thy = declare thy map_tyco
382 lookup_tyco Symtab.update_new namify_tyco;
383 fun declare_instance thy = declare thy map_instance
384 lookup_instance Symreltab.update_new namify_instance;
385 fun declare_const thy = declare thy map_const
386 lookup_const Symtab.update_new namify_const;
388 fun ensure_declared_const thy const naming =
389 case lookup_const naming const
390 of SOME const' => (const', naming)
391 | NONE => declare_const thy const naming;
393 val fun_tyco = Long_Name.append (namify_tyco Pure.thy "fun") suffix_tyco
394 (*depends on add_suffix*);
396 val unfold_fun = unfoldr
397 (fn tyco `%% [ty1, ty2] => if tyco = fun_tyco then SOME (ty1, ty2) else NONE
400 fun unfold_fun_n n ty =
402 val (tys1, ty1) = unfold_fun ty;
403 val (tys3, tys2) = chop n tys1;
404 val ty3 = Library.foldr (fn (ty1, ty2) => fun_tyco `%% [ty1, ty2]) (tys2, ty1);
410 (** statements, abstract programs **)
412 type typscheme = (vname * sort) list * itype;
415 | Fun of string * ((typscheme * ((iterm list * iterm) * (thm option * bool)) list) * thm option)
416 | Datatype of string * ((vname * sort) list * ((string * vname list) * itype list) list)
417 | Datatypecons of string * string
418 | Class of class * (vname * ((class * string) list * (string * itype) list))
419 | Classrel of class * class
420 | Classparam of string * class
421 | Classinst of (class * (string * (vname * sort) list))
422 * ((class * (string * (string * dict list list))) list
423 * (((string * const) * (thm * bool)) list
424 * ((string * const) * (thm * bool)) list))
425 (*see also signature*);
427 type program = stmt Graph.T;
429 fun empty_funs program =
430 Graph.fold (fn (name, (Fun (c, ((_, []), _)), _)) => cons c
431 | _ => I) program [];
433 fun map_terms_bottom_up f (t as IConst _) = f t
434 | map_terms_bottom_up f (t as IVar _) = f t
435 | map_terms_bottom_up f (t1 `$ t2) = f
436 (map_terms_bottom_up f t1 `$ map_terms_bottom_up f t2)
437 | map_terms_bottom_up f ((v, ty) `|=> t) = f
438 ((v, ty) `|=> map_terms_bottom_up f t)
439 | map_terms_bottom_up f (ICase (((t, ty), ps), t0)) = f
440 (ICase (((map_terms_bottom_up f t, ty), (map o pairself)
441 (map_terms_bottom_up f) ps), map_terms_bottom_up f t0));
443 fun map_classparam_instances_as_term f =
444 (map o apfst o apsnd) (fn const => case f (IConst const) of IConst const' => const')
446 fun map_terms_stmt f NoStmt = NoStmt
447 | map_terms_stmt f (Fun (c, ((tysm, eqs), case_cong))) = Fun (c, ((tysm, (map o apfst)
448 (fn (ts, t) => (map f ts, f t)) eqs), case_cong))
449 | map_terms_stmt f (stmt as Datatype _) = stmt
450 | map_terms_stmt f (stmt as Datatypecons _) = stmt
451 | map_terms_stmt f (stmt as Class _) = stmt
452 | map_terms_stmt f (stmt as Classrel _) = stmt
453 | map_terms_stmt f (stmt as Classparam _) = stmt
454 | map_terms_stmt f (Classinst (arity, (super_instances, classparam_instances))) =
455 Classinst (arity, (super_instances, (pairself o map_classparam_instances_as_term) f classparam_instances));
457 fun is_cons program name = case Graph.get_node program name
458 of Datatypecons _ => true
461 fun is_case (Fun (_, (_, SOME _))) = true
464 fun contr_classparam_typs program name = case Graph.get_node program name
465 of Classparam (_, class) => let
466 val Class (_, (_, (_, params))) = Graph.get_node program class;
467 val SOME ty = AList.lookup (op =) params name;
468 val (tys, res_ty) = unfold_fun ty;
469 fun no_tyvar (_ `%% tys) = forall no_tyvar tys
470 | no_tyvar (ITyVar _) = false;
471 in if no_tyvar res_ty
472 then map (fn ty => if no_tyvar ty then NONE else SOME ty) tys
477 fun labelled_name thy program name = case Graph.get_node program name
478 of Fun (c, _) => quote (Code.string_of_const thy c)
479 | Datatype (tyco, _) => "type " ^ quote (Sign.extern_type thy tyco)
480 | Datatypecons (c, _) => quote (Code.string_of_const thy c)
481 | Class (class, _) => "class " ^ quote (Sign.extern_class thy class)
482 | Classrel (sub, super) => let
483 val Class (sub, _) = Graph.get_node program sub
484 val Class (super, _) = Graph.get_node program super
485 in quote (Sign.extern_class thy sub ^ " < " ^ Sign.extern_class thy super) end
486 | Classparam (c, _) => quote (Code.string_of_const thy c)
487 | Classinst ((class, (tyco, _)), _) => let
488 val Class (class, _) = Graph.get_node program class
489 val Datatype (tyco, _) = Graph.get_node program tyco
490 in quote (Sign.extern_type thy tyco ^ " :: " ^ Sign.extern_class thy class) end
492 fun linear_stmts program =
493 rev (Graph.strong_conn program)
494 |> map (AList.make (Graph.get_node program));
496 fun group_stmts thy program =
498 fun is_fun (_, Fun _) = true | is_fun _ = false;
499 fun is_datatypecons (_, Datatypecons _) = true | is_datatypecons _ = false;
500 fun is_datatype (_, Datatype _) = true | is_datatype _ = false;
501 fun is_class (_, Class _) = true | is_class _ = false;
502 fun is_classrel (_, Classrel _) = true | is_classrel _ = false;
503 fun is_classparam (_, Classparam _) = true | is_classparam _ = false;
504 fun is_classinst (_, Classinst _) = true | is_classinst _ = false;
506 if forall (is_datatypecons orf is_datatype) stmts
507 then (filter is_datatype stmts, [], ([], []))
508 else if forall (is_class orf is_classrel orf is_classparam) stmts
509 then ([], filter is_class stmts, ([], []))
510 else if forall (is_fun orf is_classinst) stmts
511 then ([], [], List.partition is_fun stmts)
512 else error ("Illegal mutual dependencies: " ^
513 (commas o map (labelled_name thy program o fst)) stmts)
520 (** translation kernel **)
522 (* generic mechanisms *)
524 fun ensure_stmt lookup declare generate thing (dep, (naming, program)) =
526 fun add_dep name = case dep of NONE => I
527 | SOME dep => Graph.add_edge (dep, name);
528 val (name, naming') = case lookup naming thing
529 of SOME name => (name, naming)
530 | NONE => declare thing naming;
531 in case try (Graph.get_node program) name
532 of SOME stmt => program
538 |> Graph.default_node (name, NoStmt)
541 |> curry generate (SOME name)
543 |-> (fn stmt => (apsnd o Graph.map_node name) (K stmt))
548 exception PERMISSIVE of unit;
550 fun translation_error thy permissive some_thm msg sub_msg =
552 then raise PERMISSIVE ()
554 val err_thm = case some_thm
555 of SOME thm => "\n(in code equation " ^ Display.string_of_thm_global thy thm ^ ")"
557 in error (msg ^ err_thm ^ ":\n" ^ sub_msg) end;
559 fun not_wellsorted thy permissive some_thm ty sort e =
561 val err_class = Sorts.class_error (Syntax.pp_global thy) e;
562 val err_typ = "Type " ^ Syntax.string_of_typ_global thy ty ^ " not of sort "
563 ^ Syntax.string_of_sort_global thy sort;
564 in translation_error thy permissive some_thm "Wellsortedness error" (err_typ ^ "\n" ^ err_class) end;
569 fun ensure_tyco thy algbr eqngr permissive tyco =
571 val (vs, cos) = Code.get_type thy tyco;
573 fold_map (translate_tyvar_sort thy algbr eqngr permissive) vs
574 ##>> fold_map (fn ((c, vs), tys) =>
575 ensure_const thy algbr eqngr permissive c
576 ##>> pair (map (unprefix "'") vs)
577 ##>> fold_map (translate_typ thy algbr eqngr permissive) tys) cos
578 #>> (fn info => Datatype (tyco, info));
579 in ensure_stmt lookup_tyco (declare_tyco thy) stmt_datatype tyco end
580 and ensure_const thy algbr eqngr permissive c =
582 fun stmt_datatypecons tyco =
583 ensure_tyco thy algbr eqngr permissive tyco
584 #>> (fn tyco => Datatypecons (c, tyco));
585 fun stmt_classparam class =
586 ensure_class thy algbr eqngr permissive class
587 #>> (fn class => Classparam (c, class));
590 val ((vs, ty), eqns) = Code.equations_of_cert thy cert;
591 val some_case_cong = Code.get_case_cong thy c;
593 fold_map (translate_tyvar_sort thy algbr eqngr permissive) vs
594 ##>> translate_typ thy algbr eqngr permissive ty
595 ##>> translate_eqns thy algbr eqngr permissive eqns
596 #>> (fn info => Fun (c, (info, some_case_cong)))
598 val stmt_const = case Code.get_type_of_constr_or_abstr thy c
599 of SOME (tyco, _) => stmt_datatypecons tyco
600 | NONE => (case AxClass.class_of_param thy c
601 of SOME class => stmt_classparam class
602 | NONE => stmt_fun (Code_Preproc.cert eqngr c))
603 in ensure_stmt lookup_const (declare_const thy) stmt_const c end
604 and ensure_class thy (algbr as (_, algebra)) eqngr permissive class =
606 val super_classes = (Sorts.minimize_sort algebra o Sorts.super_classes algebra) class;
607 val cs = #params (AxClass.get_info thy class);
609 fold_map (fn super_class => ensure_class thy algbr eqngr permissive super_class
610 ##>> ensure_classrel thy algbr eqngr permissive (class, super_class)) super_classes
611 ##>> fold_map (fn (c, ty) => ensure_const thy algbr eqngr permissive c
612 ##>> translate_typ thy algbr eqngr permissive ty) cs
613 #>> (fn info => Class (class, (unprefix "'" Name.aT, info)))
614 in ensure_stmt lookup_class (declare_class thy) stmt_class class end
615 and ensure_classrel thy algbr eqngr permissive (sub_class, super_class) =
618 ensure_class thy algbr eqngr permissive sub_class
619 ##>> ensure_class thy algbr eqngr permissive super_class
621 in ensure_stmt lookup_classrel (declare_classrel thy) stmt_classrel (sub_class, super_class) end
622 and ensure_inst thy (algbr as (_, algebra)) eqngr permissive (class, tyco) =
624 val super_classes = (Sorts.minimize_sort algebra o Sorts.super_classes algebra) class;
625 val these_classparams = these o try (#params o AxClass.get_info thy);
626 val classparams = these_classparams class;
627 val further_classparams = maps these_classparams
628 ((Sorts.complete_sort algebra o Sorts.super_classes algebra) class);
629 val vs = Name.names Name.context "'a" (Sorts.mg_domain algebra tyco [class]);
630 val sorts' = Sorts.mg_domain (Sign.classes_of thy) tyco [class];
631 val vs' = map2 (fn (v, sort1) => fn sort2 => (v,
632 Sorts.inter_sort (Sign.classes_of thy) (sort1, sort2))) vs sorts';
633 val arity_typ = Type (tyco, map TFree vs);
634 val arity_typ' = Type (tyco, map (fn (v, sort) => TVar ((v, 0), sort)) vs');
635 fun translate_super_instance super_class =
636 ensure_class thy algbr eqngr permissive super_class
637 ##>> ensure_classrel thy algbr eqngr permissive (class, super_class)
638 ##>> translate_dicts thy algbr eqngr permissive NONE (arity_typ, [super_class])
639 #>> (fn ((super_class, classrel), [DictConst (inst, dss)]) =>
640 (super_class, (classrel, (inst, dss))));
641 fun translate_classparam_instance (c, ty) =
643 val raw_const = Const (c, map_type_tfree (K arity_typ') ty);
644 val thm = AxClass.unoverload_conv thy (Thm.cterm_of thy raw_const);
645 val const = (apsnd Logic.unvarifyT_global o dest_Const o snd
646 o Logic.dest_equals o Thm.prop_of) thm;
648 ensure_const thy algbr eqngr permissive c
649 ##>> translate_const thy algbr eqngr permissive (SOME thm) (const, NONE)
650 #>> (fn (c, IConst const') => ((c, const'), (thm, true)))
653 ensure_class thy algbr eqngr permissive class
654 ##>> ensure_tyco thy algbr eqngr permissive tyco
655 ##>> fold_map (translate_tyvar_sort thy algbr eqngr permissive) vs
656 ##>> fold_map translate_super_instance super_classes
657 ##>> fold_map translate_classparam_instance classparams
658 ##>> fold_map translate_classparam_instance further_classparams
659 #>> (fn (((((class, tyco), arity_args), super_instances),
660 classparam_instances), further_classparam_instances) =>
661 Classinst ((class, (tyco, arity_args)), (super_instances,
662 (classparam_instances, further_classparam_instances))));
663 in ensure_stmt lookup_instance (declare_instance thy) stmt_inst (class, tyco) end
664 and translate_typ thy algbr eqngr permissive (TFree (v, _)) =
665 pair (ITyVar (unprefix "'" v))
666 | translate_typ thy algbr eqngr permissive (Type (tyco, tys)) =
667 ensure_tyco thy algbr eqngr permissive tyco
668 ##>> fold_map (translate_typ thy algbr eqngr permissive) tys
669 #>> (fn (tyco, tys) => tyco `%% tys)
670 and translate_term thy algbr eqngr permissive some_thm (Const (c, ty), some_abs) =
671 translate_app thy algbr eqngr permissive some_thm (((c, ty), []), some_abs)
672 | translate_term thy algbr eqngr permissive some_thm (Free (v, _), some_abs) =
674 | translate_term thy algbr eqngr permissive some_thm (Abs (v, ty, t), some_abs) =
676 val (v', t') = Syntax.variant_abs (Name.desymbolize false v, ty, t);
677 val v'' = if member (op =) (Term.add_free_names t' []) v'
678 then SOME v' else NONE
680 translate_typ thy algbr eqngr permissive ty
681 ##>> translate_term thy algbr eqngr permissive some_thm (t', some_abs)
682 #>> (fn (ty, t) => (v'', ty) `|=> t)
684 | translate_term thy algbr eqngr permissive some_thm (t as _ $ _, some_abs) =
686 of (Const (c, ty), ts) =>
687 translate_app thy algbr eqngr permissive some_thm (((c, ty), ts), some_abs)
689 translate_term thy algbr eqngr permissive some_thm (t', some_abs)
690 ##>> fold_map (translate_term thy algbr eqngr permissive some_thm o rpair NONE) ts
691 #>> (fn (t, ts) => t `$$ ts)
692 and translate_eqn thy algbr eqngr permissive ((args, (rhs, some_abs)), (some_thm, proper)) =
693 fold_map (translate_term thy algbr eqngr permissive some_thm) args
694 ##>> translate_term thy algbr eqngr permissive some_thm (rhs, some_abs)
695 #>> rpair (some_thm, proper)
696 and translate_eqns thy algbr eqngr permissive eqns prgrm =
697 prgrm |> fold_map (translate_eqn thy algbr eqngr permissive) eqns
698 handle PERMISSIVE () => ([], prgrm)
699 and translate_const thy algbr eqngr permissive some_thm ((c, ty), some_abs) =
701 val _ = if (case some_abs of NONE => true | SOME abs => not (c = abs))
702 andalso Code.is_abstr thy c
703 then translation_error thy permissive some_thm
704 "Abstraction violation" ("constant " ^ Code.string_of_const thy c)
706 val arg_typs = Sign.const_typargs thy (c, ty);
707 val sorts = Code_Preproc.sortargs eqngr c;
708 val function_typs = (fst o Term.strip_type) ty;
710 ensure_const thy algbr eqngr permissive c
711 ##>> fold_map (translate_typ thy algbr eqngr permissive) arg_typs
712 ##>> fold_map (translate_dicts thy algbr eqngr permissive some_thm) (arg_typs ~~ sorts)
713 ##>> fold_map (translate_typ thy algbr eqngr permissive) function_typs
714 #>> (fn (((c, arg_typs), dss), function_typs) => IConst (c, ((arg_typs, dss), function_typs)))
716 and translate_app_const thy algbr eqngr permissive some_thm ((c_ty, ts), some_abs) =
717 translate_const thy algbr eqngr permissive some_thm (c_ty, some_abs)
718 ##>> fold_map (translate_term thy algbr eqngr permissive some_thm o rpair NONE) ts
719 #>> (fn (t, ts) => t `$$ ts)
720 and translate_case thy algbr eqngr permissive some_thm (num_args, (t_pos, case_pats)) (c_ty, ts) =
722 fun arg_types num_args ty = (fst o chop num_args o fst o strip_type) ty;
723 val tys = arg_types num_args (snd c_ty);
724 val ty = nth tys t_pos;
725 fun mk_constr c t = let val n = Code.args_number thy c
726 in ((c, arg_types n (fastype_of t) ---> ty), n) end;
727 val constrs = if null case_pats then []
728 else map2 mk_constr case_pats (nth_drop t_pos ts);
729 fun casify naming constrs ty ts =
731 val undefineds = map_filter (lookup_const naming) (Code.undefineds thy);
732 fun collapse_clause vs_map ts body =
735 of IConst (c, _) => if member (op =) undefineds c
738 | ICase (((IVar (SOME v), _), subclauses), _) =>
739 if forall (fn (pat', body') => exists_var pat' v
740 orelse not (exists_var body' v)) subclauses
741 then case AList.lookup (op =) vs_map v
742 of SOME i => maps (fn (pat', body') =>
743 collapse_clause (AList.delete (op =) v vs_map)
744 (nth_map i (K pat') ts) body') subclauses
745 | NONE => [(ts, body)]
749 fun mk_clause mk tys t =
751 val (vs, body) = unfold_abs_eta tys t;
752 val vs_map = fold_index (fn (i, (SOME v, _)) => cons (v, i) | _ => I) vs [];
753 val ts = map (IVar o fst) vs;
754 in map mk (collapse_clause vs_map ts body) end;
755 val t = nth ts t_pos;
756 val ts_clause = nth_drop t_pos ts;
757 val clauses = if null case_pats
758 then mk_clause (fn ([t], body) => (t, body)) [ty] (the_single ts_clause)
759 else maps (fn ((constr as IConst (_, (_, tys)), n), t) =>
760 mk_clause (fn (ts, body) => (constr `$$ ts, body)) (take n tys) t)
761 (constrs ~~ ts_clause);
762 in ((t, ty), clauses) end;
764 translate_const thy algbr eqngr permissive some_thm (c_ty, NONE)
765 ##>> fold_map (fn (constr, n) => translate_const thy algbr eqngr permissive some_thm (constr, NONE)
767 ##>> translate_typ thy algbr eqngr permissive ty
768 ##>> fold_map (translate_term thy algbr eqngr permissive some_thm o rpair NONE) ts
769 #-> (fn (((t, constrs), ty), ts) =>
770 `(fn (_, (naming, _)) => ICase (casify naming constrs ty ts, t `$$ ts)))
772 and translate_app_case thy algbr eqngr permissive some_thm (case_scheme as (num_args, _)) ((c, ty), ts) =
773 if length ts < num_args then
776 val tys = (take (num_args - k) o drop k o fst o strip_type) ty;
777 val ctxt = (fold o fold_aterms) Term.declare_term_frees ts Name.context;
778 val vs = Name.names ctxt "a" tys;
780 fold_map (translate_typ thy algbr eqngr permissive) tys
781 ##>> translate_case thy algbr eqngr permissive some_thm case_scheme ((c, ty), ts @ map Free vs)
782 #>> (fn (tys, t) => map2 (fn (v, _) => pair (SOME v)) vs tys `|==> t)
784 else if length ts > num_args then
785 translate_case thy algbr eqngr permissive some_thm case_scheme ((c, ty), take num_args ts)
786 ##>> fold_map (translate_term thy algbr eqngr permissive some_thm o rpair NONE) (drop num_args ts)
787 #>> (fn (t, ts) => t `$$ ts)
789 translate_case thy algbr eqngr permissive some_thm case_scheme ((c, ty), ts)
790 and translate_app thy algbr eqngr permissive some_thm (c_ty_ts as ((c, _), _), some_abs) =
791 case Code.get_case_scheme thy c
792 of SOME case_scheme => translate_app_case thy algbr eqngr permissive some_thm case_scheme c_ty_ts
793 | NONE => translate_app_const thy algbr eqngr permissive some_thm (c_ty_ts, some_abs)
794 and translate_tyvar_sort thy (algbr as (proj_sort, _)) eqngr permissive (v, sort) =
795 fold_map (ensure_class thy algbr eqngr permissive) (proj_sort sort)
796 #>> (fn sort => (unprefix "'" v, sort))
797 and translate_dicts thy (algbr as (proj_sort, algebra)) eqngr permissive some_thm (ty, sort) =
800 Global of (class * string) * typarg list list
801 | Local of (class * class) list * (string * (int * sort));
802 fun class_relation (Global ((_, tyco), yss), _) class =
803 Global ((class, tyco), yss)
804 | class_relation (Local (classrels, v), sub_class) super_class =
805 Local ((sub_class, super_class) :: classrels, v);
806 fun type_constructor (tyco, _) yss class =
807 Global ((class, tyco), (map o map) fst yss);
808 fun type_variable (TFree (v, sort)) =
810 val sort' = proj_sort sort;
811 in map_index (fn (n, class) => (Local ([], (v, (n, sort'))), class)) sort' end;
812 val typargs = Sorts.of_sort_derivation algebra
813 {class_relation = K (Sorts.classrel_derivation algebra class_relation),
814 type_constructor = type_constructor,
815 type_variable = type_variable} (ty, proj_sort sort)
816 handle Sorts.CLASS_ERROR e => not_wellsorted thy permissive some_thm ty sort e;
817 fun mk_dict (Global (inst, yss)) =
818 ensure_inst thy algbr eqngr permissive inst
819 ##>> (fold_map o fold_map) mk_dict yss
820 #>> (fn (inst, dss) => DictConst (inst, dss))
821 | mk_dict (Local (classrels, (v, (n, sort)))) =
822 fold_map (ensure_classrel thy algbr eqngr permissive) classrels
823 #>> (fn classrels => DictVar (classrels, (unprefix "'" v, (n, length sort))))
824 in fold_map mk_dict typargs end;
829 structure Program = Code_Data
831 type T = naming * program;
832 val empty = (empty_naming, Graph.empty);
835 fun invoke_generation ignore_cache thy (algebra, eqngr) f name =
836 Program.change_yield (if ignore_cache then NONE else SOME thy)
837 (fn naming_program => (NONE, naming_program)
838 |> f thy algebra eqngr name
839 |-> (fn name => fn (_, naming_program) => (name, naming_program)));
842 (* program generation *)
844 fun consts_program thy permissive cs =
846 fun project_consts cs (naming, program) = (*FIXME only necessary for cache_generation*)
848 val cs_all = Graph.all_succs program cs;
849 in (cs, (naming, Graph.subgraph (member (op =) cs_all) program)) end;
850 fun generate_consts thy algebra eqngr =
851 fold_map (ensure_const thy algebra eqngr permissive);
853 invoke_generation (not permissive) thy (Code_Preproc.obtain false thy cs [])
859 (* value evaluation *)
861 fun ensure_value thy algbr eqngr t =
863 val ty = fastype_of t;
864 val vs = fold_term_types (K (fold_atyps (insert (eq_fst op =)
865 o dest_TFree))) t [];
867 fold_map (translate_tyvar_sort thy algbr eqngr false) vs
868 ##>> translate_typ thy algbr eqngr false ty
869 ##>> translate_term thy algbr eqngr false NONE (Code.subst_signatures thy t, NONE)
870 #>> (fn ((vs, ty), t) => Fun
871 (Term.dummy_patternN, (((vs, ty), [(([], t), (NONE, true))]), NONE)));
872 fun term_value (dep, (naming, program1)) =
874 val Fun (_, ((vs_ty, [(([], t), _)]), _)) =
875 Graph.get_node program1 Term.dummy_patternN;
876 val deps = Graph.imm_succs program1 Term.dummy_patternN;
877 val program2 = Graph.del_nodes [Term.dummy_patternN] program1;
878 val deps_all = Graph.all_succs program2 deps;
879 val program3 = Graph.subgraph (member (op =) deps_all) program2;
880 in (((naming, program3), ((vs_ty, t), deps)), (dep, (naming, program2))) end;
882 ensure_stmt ((K o K) NONE) pair stmt_value Term.dummy_patternN
887 fun base_evaluator thy evaluator algebra eqngr vs t =
889 val (((naming, program), (((vs', ty'), t'), deps)), _) =
890 invoke_generation false thy (algebra, eqngr) ensure_value t;
891 val vs'' = map (fn (v, _) => (v, (the o AList.lookup (op =) vs o prefix "'") v)) vs';
892 in evaluator naming program ((vs'', (vs', ty')), t') deps end;
894 fun dynamic_eval_conv thy = Code_Preproc.dynamic_eval_conv thy o base_evaluator thy;
895 fun dynamic_eval_value thy postproc = Code_Preproc.dynamic_eval_value thy postproc o base_evaluator thy;
897 fun static_eval_conv thy consts conv =
898 Code_Preproc.static_eval_conv thy consts (base_evaluator thy conv); (*FIXME avoid re-generation*)
900 fun static_eval_conv_simple thy consts conv =
901 Code_Preproc.static_eval_conv thy consts (fn algebra => fn eqngr => fn _ => fn _ => fn ct =>
902 conv ((NONE, (empty_naming, Graph.empty)) (*FIXME provide abstraction for this kind of invocation*)
903 |> fold_map (ensure_const thy algebra eqngr false) consts
904 |> (snd o snd o snd)) ct);
907 (** diagnostic commands **)
909 fun read_const_exprs thy =
911 fun consts_of thy' = Symtab.fold (fn (c, (_, NONE)) => cons c | _ => I)
912 ((snd o #constants o Consts.dest o #consts o Sign.rep_sg) thy') [];
913 fun belongs_here thy' c = forall
914 (fn thy'' => not (Sign.declared_const thy'' c)) (Theory.parents_of thy');
915 fun consts_of_select thy' = filter (belongs_here thy') (consts_of thy');
916 fun read_const_expr "*" = ([], consts_of thy)
917 | read_const_expr s = if String.isSuffix ".*" s
918 then ([], consts_of_select (Context.this_theory thy (unsuffix ".*" s)))
919 else ([Code.read_const thy s], []);
920 in pairself flat o split_list o map read_const_expr end;
922 fun code_depgr thy consts =
924 val (_, eqngr) = Code_Preproc.obtain true thy consts [];
925 val all_consts = Graph.all_succs eqngr consts;
926 in Graph.subgraph (member (op =) all_consts) eqngr end;
928 fun code_thms thy = Pretty.writeln o Code_Preproc.pretty thy o code_depgr thy;
930 fun code_deps thy consts =
932 val eqngr = code_depgr thy consts;
933 val constss = Graph.strong_conn eqngr;
934 val mapping = Symtab.empty |> fold (fn consts => fold (fn const =>
935 Symtab.update (const, consts)) consts) constss;
936 fun succs consts = consts
937 |> maps (Graph.imm_succs eqngr)
938 |> subtract (op =) consts
939 |> map (the o Symtab.lookup mapping)
941 val conn = [] |> fold (fn consts => cons (consts, succs consts)) constss;
942 fun namify consts = map (Code.string_of_const thy) consts
944 val prgr = map (fn (consts, constss) =>
945 { name = namify consts, ID = namify consts, dir = "", unfold = true,
946 path = "", parents = map namify constss }) conn;
947 in Present.display_graph prgr end;
951 fun code_thms_cmd thy = code_thms thy o op @ o read_const_exprs thy;
952 fun code_deps_cmd thy = code_deps thy o op @ o read_const_exprs thy;
957 Outer_Syntax.improper_command "code_thms" "print system of code equations for code" Keyword.diag
958 (Scan.repeat1 Parse.term_group
959 >> (fn cs => Toplevel.no_timing o Toplevel.unknown_theory
960 o Toplevel.keep ((fn thy => code_thms_cmd thy cs) o Toplevel.theory_of)));
963 Outer_Syntax.improper_command "code_deps" "visualize dependencies of code equations for code"
965 (Scan.repeat1 Parse.term_group
966 >> (fn cs => Toplevel.no_timing o Toplevel.unknown_theory
967 o Toplevel.keep ((fn thy => code_deps_cmd thy cs) o Toplevel.theory_of)));
974 structure Basic_Code_Thingol: BASIC_CODE_THINGOL = Code_Thingol;