1 (* Title: Pure/Isar/code.ML
2 Author: Florian Haftmann, TU Muenchen
4 Abstract executable ingredients of theory. Management of data
5 dependent on executable ingredients as synchronized cache; purged
6 on any change of underlying executable ingredients.
12 val check_const: theory -> term -> string
13 val read_bare_const: theory -> string -> string * typ
14 val read_const: theory -> string -> string
15 val string_of_const: theory -> string -> string
16 val cert_signature: theory -> typ -> typ
17 val read_signature: theory -> string -> typ
18 val const_typ: theory -> string -> typ
19 val subst_signatures: theory -> term -> term
20 val args_number: theory -> string -> int
23 val constrset_of_consts: theory -> (string * typ) list
24 -> string * ((string * sort) list * (string * ((string * sort) list * typ list)) list)
26 (*code equations and certificates*)
27 val mk_eqn: theory -> thm * bool -> thm * bool
28 val mk_eqn_warning: theory -> thm -> (thm * bool) option
29 val mk_eqn_liberal: theory -> thm -> (thm * bool) option
30 val assert_eqn: theory -> thm * bool -> thm * bool
31 val const_typ_eqn: theory -> thm -> string * typ
32 val expand_eta: theory -> int -> thm -> thm
34 val empty_cert: theory -> string -> cert
35 val cert_of_eqns: theory -> string -> (thm * bool) list -> cert
36 val constrain_cert: theory -> sort list -> cert -> cert
37 val typargs_deps_of_cert: theory -> cert -> (string * sort) list * (string * typ list) list
38 val equations_of_cert: theory -> cert -> ((string * sort) list * typ)
39 * (((term * string option) list * (term * string option)) * (thm option * bool)) list
40 val bare_thms_of_cert: theory -> cert -> thm list
41 val pretty_cert: theory -> cert -> Pretty.T list
44 val add_type: string -> theory -> theory
45 val add_type_cmd: string -> theory -> theory
46 val add_signature: string * typ -> theory -> theory
47 val add_signature_cmd: string * string -> theory -> theory
48 val add_datatype: (string * typ) list -> theory -> theory
49 val add_datatype_cmd: string list -> theory -> theory
50 val datatype_interpretation:
51 (string * ((string * sort) list * (string * ((string * sort) list * typ list)) list)
52 -> theory -> theory) -> theory -> theory
53 val add_abstype: thm -> theory -> theory
54 val abstype_interpretation:
55 (string * ((string * sort) list * ((string * ((string * sort) list * typ)) * (string * thm)))
56 -> theory -> theory) -> theory -> theory
57 val add_eqn: thm -> theory -> theory
58 val add_nbe_eqn: thm -> theory -> theory
59 val add_default_eqn: thm -> theory -> theory
60 val add_default_eqn_attribute: attribute
61 val add_default_eqn_attrib: Attrib.src
62 val add_nbe_default_eqn: thm -> theory -> theory
63 val add_nbe_default_eqn_attribute: attribute
64 val add_nbe_default_eqn_attrib: Attrib.src
65 val del_eqn: thm -> theory -> theory
66 val del_eqns: string -> theory -> theory
67 val add_case: thm -> theory -> theory
68 val add_undefined: string -> theory -> theory
69 val get_type: theory -> string
70 -> ((string * sort) list * (string * ((string * sort) list * typ list)) list) * bool
71 val get_type_of_constr_or_abstr: theory -> string -> (string * bool) option
72 val is_constr: theory -> string -> bool
73 val is_abstr: theory -> string -> bool
74 val get_cert: theory -> ((thm * bool) list -> (thm * bool) list) -> string -> cert
75 val get_case_scheme: theory -> string -> (int * (int * string list)) option
76 val get_case_cong: theory -> string -> thm option
77 val undefineds: theory -> string list
78 val print_codesetup: theory -> unit
81 val set_code_target_attr: (string -> thm -> theory -> theory) -> theory -> theory
84 signature CODE_DATA_ARGS =
93 val change: theory option -> (T -> T) -> T
94 val change_yield: theory option -> (T -> 'a * T) -> 'a * T
97 signature PRIVATE_CODE =
100 val declare_data: Object.T -> serial
101 val change_yield_data: serial * ('a -> Object.T) * (Object.T -> 'a)
102 -> theory -> ('a -> 'b * 'a) -> 'b * 'a
105 structure Code : PRIVATE_CODE =
112 fun string_of_typ thy =
113 Syntax.string_of_typ (Config.put show_sorts true (Syntax.init_pretty_global thy));
115 fun string_of_const thy c =
116 let val ctxt = Proof_Context.init_global thy in
117 case AxClass.inst_of_param thy c of
119 Proof_Context.extern_const ctxt c ^ " " ^ enclose "[" "]"
120 (Proof_Context.extern_type ctxt tyco)
121 | NONE => Proof_Context.extern_const ctxt c
127 fun typ_equiv tys = Type.raw_instance tys andalso Type.raw_instance (swap tys);
129 fun check_bare_const thy t = case try dest_Const t
131 | NONE => error ("Not a constant: " ^ Syntax.string_of_term_global thy t);
133 fun check_unoverload thy (c, ty) =
135 val c' = AxClass.unoverload_const thy (c, ty);
136 val ty_decl = Sign.the_const_type thy c';
137 in if Sign.typ_equiv thy
138 (Type.strip_sorts ty_decl, Type.strip_sorts (Logic.varifyT_global ty)) then c'
139 else error ("Type\n" ^ string_of_typ thy ty
140 ^ "\nof constant " ^ quote c
141 ^ "\nis too specific compared to declared type\n"
142 ^ string_of_typ thy ty_decl)
145 fun check_const thy = check_unoverload thy o check_bare_const thy;
147 fun read_bare_const thy = check_bare_const thy o Syntax.read_term_global thy;
149 fun read_const thy = check_unoverload thy o read_bare_const thy;
156 datatype typ_spec = Constructors of (string * ((string * sort) list * typ list)) list *
157 string list (*references to associated case constructors*)
158 | Abstractor of (string * ((string * sort) list * typ)) * (string * thm);
160 fun constructors_of (Constructors (cos, _)) = (cos, false)
161 | constructors_of (Abstractor ((co, (vs, ty)), _)) = ([(co, (vs, [ty]))], true);
163 fun case_consts_of (Constructors (_, case_consts)) = case_consts
164 | case_consts_of (Abstractor _) = [];
168 datatype fun_spec = Default of (thm * bool) list * (thm * bool) list lazy
169 (* (cache for default equations, lazy computation of default equations)
170 -- helps to restore natural order of default equations *)
171 | Eqns of (thm * bool) list
172 | Proj of term * string
173 | Abstr of thm * string;
175 val empty_fun_spec = Default ([], Lazy.value []);
177 fun is_default (Default _) = true
178 | is_default _ = false;
180 fun associated_abstype (Abstr (_, tyco)) = SOME tyco
181 | associated_abstype _ = NONE;
184 (* executable code data *)
186 datatype spec = Spec of {
187 history_concluded: bool,
188 signatures: int Symtab.table * typ Symtab.table,
189 functions: ((bool * fun_spec) * (serial * fun_spec) list) Symtab.table
190 (*with explicit history*),
191 types: ((serial * ((string * sort) list * typ_spec)) list) Symtab.table
192 (*with explicit history*),
193 cases: ((int * (int * string list)) * thm) Symtab.table * unit Symtab.table
196 fun make_spec (history_concluded, ((signatures, functions), (types, cases))) =
197 Spec { history_concluded = history_concluded,
198 signatures = signatures, functions = functions, types = types, cases = cases };
199 fun map_spec f (Spec { history_concluded = history_concluded, signatures = signatures,
200 functions = functions, types = types, cases = cases }) =
201 make_spec (f (history_concluded, ((signatures, functions), (types, cases))));
202 fun merge_spec (Spec { history_concluded = _, signatures = (tycos1, sigs1), functions = functions1,
203 types = types1, cases = (cases1, undefs1) },
204 Spec { history_concluded = _, signatures = (tycos2, sigs2), functions = functions2,
205 types = types2, cases = (cases2, undefs2) }) =
207 val signatures = (Symtab.merge (op =) (tycos1, tycos2),
208 Symtab.merge typ_equiv (sigs1, sigs2));
209 val types = Symtab.join (K (AList.merge (op =) (K true))) (types1, types2);
210 val case_consts_of' = (maps case_consts_of o map (snd o snd o hd o snd) o Symtab.dest);
211 fun merge_functions ((_, history1), (_, history2)) =
213 val raw_history = AList.merge (op = : serial * serial -> bool)
214 (K true) (history1, history2);
215 val filtered_history = filter_out (is_default o snd) raw_history;
216 val history = if null filtered_history
217 then raw_history else filtered_history;
218 in ((false, (snd o hd) history), history) end;
219 val all_datatype_specs = map (snd o snd o hd o snd) (Symtab.dest types);
220 val all_constructors = maps (map fst o fst o constructors_of) all_datatype_specs;
221 val invalidated_case_consts = union (op =) (case_consts_of' types1) (case_consts_of' types2)
222 |> subtract (op =) (maps case_consts_of all_datatype_specs)
223 val functions = Symtab.join (K merge_functions) (functions1, functions2)
224 |> fold (fn c => Symtab.map_entry c (apfst (K (true, empty_fun_spec)))) all_constructors;
225 val cases = (Symtab.merge (K true) (cases1, cases2)
226 |> fold Symtab.delete invalidated_case_consts, Symtab.merge (K true) (undefs1, undefs2));
227 in make_spec (false, ((signatures, functions), (types, cases))) end;
229 fun history_concluded (Spec { history_concluded, ... }) = history_concluded;
230 fun the_signatures (Spec { signatures, ... }) = signatures;
231 fun the_functions (Spec { functions, ... }) = functions;
232 fun the_types (Spec { types, ... }) = types;
233 fun the_cases (Spec { cases, ... }) = cases;
234 val map_history_concluded = map_spec o apfst;
235 val map_signatures = map_spec o apsnd o apfst o apfst;
236 val map_functions = map_spec o apsnd o apfst o apsnd;
237 val map_typs = map_spec o apsnd o apsnd o apfst;
238 val map_cases = map_spec o apsnd o apsnd o apsnd;
241 (* data slots dependent on executable code *)
243 (*private copy avoids potential conflict of table exceptions*)
244 structure Datatab = Table(type key = int val ord = int_ord);
248 type kind = { empty: Object.T };
250 val kinds = Synchronized.var "Code_Data" (Datatab.empty: kind Datatab.table);
253 (case Datatab.lookup (Synchronized.value kinds) k of
255 | NONE => raise Fail "Invalid code data identifier");
259 fun declare_data empty =
262 val kind = { empty = empty };
263 val _ = Synchronized.change kinds (Datatab.update (k, kind));
266 fun invoke_init k = invoke (fn kind => #empty kind) k;
275 type data = Object.T Datatab.table;
276 fun empty_dataref () = Synchronized.var "code data" (NONE : (data * theory_ref) option);
278 structure Code_Data = Theory_Data
280 type T = spec * (data * theory_ref) option Synchronized.var;
281 val empty = (make_spec (false, (((Symtab.empty, Symtab.empty), Symtab.empty),
282 (Symtab.empty, (Symtab.empty, Symtab.empty)))), empty_dataref ());
283 val extend = I (* FIXME empty_dataref!?! *)
284 fun merge ((spec1, _), (spec2, _)) =
285 (merge_spec (spec1, spec2), empty_dataref ());
291 (* access to executable code *)
293 val the_exec = fst o Code_Data.get;
295 fun map_exec_purge f = Code_Data.map (fn (exec, _) => (f exec, empty_dataref ()));
297 fun change_fun_spec delete c f = (map_exec_purge o map_functions
298 o (if delete then Symtab.map_entry c else Symtab.map_default (c, ((false, empty_fun_spec), [])))
299 o apfst) (fn (_, spec) => (true, f spec));
302 (* tackling equation history *)
304 fun continue_history thy = if (history_concluded o the_exec) thy
306 |> (Code_Data.map o apfst o map_history_concluded) (K false)
310 fun conclude_history thy = if (history_concluded o the_exec) thy
313 |> (Code_Data.map o apfst)
314 ((map_functions o Symtab.map) (fn _ => fn ((changed, current), history) =>
316 if changed then (serial (), current) :: history else history))
317 #> map_history_concluded (K true))
320 val _ = Context.>> (Context.map_theory (Theory.at_begin continue_history #> Theory.at_end conclude_history));
323 (* access to data dependent on abstract executable code *)
325 fun change_yield_data (kind, mk, dest) theory f =
327 val dataref = (snd o Code_Data.get) theory;
328 val (datatab, thy_ref) = case Synchronized.value dataref
329 of SOME (datatab, thy_ref) => if Theory.eq_thy (theory, Theory.deref thy_ref)
330 then (datatab, thy_ref)
331 else (Datatab.empty, Theory.check_thy theory)
332 | NONE => (Datatab.empty, Theory.check_thy theory)
333 val data = case Datatab.lookup datatab kind
335 | NONE => invoke_init kind;
336 val result as (_, data') = f (dest data);
337 val _ = Synchronized.change dataref
338 ((K o SOME) (Datatab.update (kind, mk data') datatab, thy_ref));
348 fun arity_number thy tyco = case Symtab.lookup ((fst o the_signatures o the_exec) thy) tyco
350 | NONE => Sign.arity_number thy tyco;
354 val ctxt = Syntax.init_pretty_global thy;
355 val (tycos, _) = the_signatures (the_exec thy);
356 val decls = #types (Type.rep_tsig (Sign.tsig_of thy))
358 |> Symtab.fold (fn (tyco, n) =>
359 Symtab.update (tyco, Type.LogicalType n)) tycos;
362 |> Symtab.fold (fn (tyco, Type.LogicalType n) => Type.add_type ctxt Name_Space.default_naming
363 (Binding.qualified_name tyco, n) | _ => I) decls
366 fun cert_signature thy =
367 Logic.varifyT_global o Type.cert_typ (build_tsig thy) o Type.no_tvars;
369 fun read_signature thy =
370 cert_signature thy o Type.strip_sorts o Syntax.parse_typ (Proof_Context.init_global thy);
372 fun expand_signature thy = Type.cert_typ_mode Type.mode_syntax (Sign.tsig_of thy);
374 fun lookup_typ thy = Symtab.lookup ((snd o the_signatures o the_exec) thy);
376 fun const_typ thy c = case lookup_typ thy c
378 | NONE => (Type.strip_sorts o Sign.the_const_type thy) c;
380 fun args_number thy = length o binder_types o const_typ thy;
382 fun subst_signature thy c ty =
384 fun mk_subst (Type (_, tys1)) (Type (_, tys2)) =
385 fold2 mk_subst tys1 tys2
386 | mk_subst ty (TVar (v, _)) = Vartab.update (v, ([], ty))
387 in case lookup_typ thy c
388 of SOME ty' => Envir.subst_type (mk_subst ty (expand_signature thy ty') Vartab.empty) ty'
392 fun subst_signatures thy = map_aterms (fn Const (c, ty) => Const (c, subst_signature thy c ty) | t => t);
394 fun logical_typscheme thy (c, ty) =
395 (map dest_TFree (Sign.const_typargs thy (c, ty)), Type.strip_sorts ty);
397 fun typscheme thy (c, ty) = logical_typscheme thy (c, subst_signature thy c ty);
402 fun no_constr thy s (c, ty) = error ("Not a datatype constructor:\n" ^ string_of_const thy c
403 ^ " :: " ^ string_of_typ thy ty ^ "\n" ^ enclose "(" ")" s);
405 fun analyze_constructor thy (c, raw_ty) =
407 val _ = Thm.cterm_of thy (Const (c, raw_ty));
408 val ty = subst_signature thy c raw_ty;
409 val ty_decl = (Logic.unvarifyT_global o const_typ thy) c;
410 fun last_typ c_ty ty =
412 val tfrees = Term.add_tfreesT ty [];
413 val (tyco, vs) = (apsnd o map) dest_TFree (dest_Type (body_type ty))
414 handle TYPE _ => no_constr thy "bad type" c_ty
415 val _ = if tyco = "fun" then no_constr thy "bad type" c_ty else ();
416 val _ = if has_duplicates (eq_fst (op =)) vs
417 then no_constr thy "duplicate type variables in datatype" c_ty else ();
418 val _ = if length tfrees <> length vs
419 then no_constr thy "type variables missing in datatype" c_ty else ();
421 val (tyco, _) = last_typ (c, ty) ty_decl;
422 val (_, vs) = last_typ (c, ty) ty;
423 in ((tyco, map snd vs), (c, (map fst vs, ty))) end;
425 fun constrset_of_consts thy cs =
427 val _ = map (fn (c, _) => if (is_some o AxClass.class_of_param thy) c
428 then error ("Is a class parameter: " ^ string_of_const thy c) else ()) cs;
429 fun add ((tyco', sorts'), c) ((tyco, sorts), cs) =
431 val _ = if (tyco' : string) <> tyco
432 then error "Different type constructors in constructor set"
435 map2 (curry (Sorts.inter_sort (Sign.classes_of thy))) sorts' sorts
436 in ((tyco, sorts''), c :: cs) end;
437 fun inst vs' (c, (vs, ty)) =
439 val the_v = the o AList.lookup (op =) (vs ~~ vs');
440 val ty' = map_type_tfree (fn (v, _) => TFree (the_v v)) ty;
441 val (vs'', _) = logical_typscheme thy (c, ty');
442 in (c, (vs'', binder_types ty')) end;
443 val c' :: cs' = map (analyze_constructor thy) cs;
444 val ((tyco, sorts), cs'') = fold add cs' (apsnd single c');
445 val vs = Name.invent_names Name.context Name.aT sorts;
446 val cs''' = map (inst vs) cs'';
447 in (tyco, (vs, rev cs''')) end;
449 fun get_type_entry thy tyco = case these (Symtab.lookup ((the_types o the_exec) thy) tyco)
450 of (_, entry) :: _ => SOME entry
453 fun get_type thy tyco = case get_type_entry thy tyco
454 of SOME (vs, spec) => apfst (pair vs) (constructors_of spec)
455 | NONE => arity_number thy tyco
456 |> Name.invent Name.context Name.aT
461 fun get_abstype_spec thy tyco = case get_type_entry thy tyco
462 of SOME (vs, Abstractor spec) => (vs, spec)
463 | _ => error ("Not an abstract type: " ^ tyco);
465 fun get_type_of_constr_or_abstr thy c =
466 case (body_type o const_typ thy) c
467 of Type (tyco, _) => let val ((_, cos), abstract) = get_type thy tyco
468 in if member (op =) (map fst cos) c then SOME (tyco, abstract) else NONE end
471 fun is_constr thy c = case get_type_of_constr_or_abstr thy c
472 of SOME (_, false) => true
475 fun is_abstr thy c = case get_type_of_constr_or_abstr thy c
476 of SOME (_, true) => true
480 (* bare code equations *)
482 (* convention for variables:
483 ?x ?'a for free-floating theorems (e.g. in the data store)
484 ?x 'a for certificates
485 x 'a for final representation of equations
488 exception BAD_THM of string;
489 fun bad_thm msg = raise BAD_THM msg;
490 fun error_thm f thm = f thm handle BAD_THM msg => error msg;
491 fun warning_thm f thm = SOME (f thm) handle BAD_THM msg => (warning msg; NONE)
492 fun try_thm f thm = SOME (f thm) handle BAD_THM _ => NONE;
495 let val (_, args) = (strip_comb o fst o Logic.dest_equals o Thm.plain_prop_of) thm
496 in not (has_duplicates (op =) ((fold o fold_aterms)
497 (fn Var (v, _) => cons v | _ => I) args [])) end;
499 fun check_decl_ty thy (c, ty) =
501 val ty_decl = Sign.the_const_type thy c;
502 in if Sign.typ_equiv thy (Type.strip_sorts ty_decl, Type.strip_sorts ty) then ()
503 else bad_thm ("Type\n" ^ string_of_typ thy ty
504 ^ "\nof constant " ^ quote c
505 ^ "\nis too specific compared to declared type\n"
506 ^ string_of_typ thy ty_decl)
509 fun check_eqn thy { allow_nonlinear, allow_consts, allow_pats } thm (lhs, rhs) =
511 fun bad s = bad_thm (s ^ ":\n" ^ Display.string_of_thm_global thy thm);
512 fun vars_of t = fold_aterms (fn Var (v, _) => insert (op =) v
513 | Free _ => bad "Illegal free variable in equation"
515 fun tvars_of t = fold_term_types (fn _ =>
516 fold_atyps (fn TVar (v, _) => insert (op =) v
517 | TFree _ => bad "Illegal free type variable in equation")) t [];
518 val lhs_vs = vars_of lhs;
519 val rhs_vs = vars_of rhs;
520 val lhs_tvs = tvars_of lhs;
521 val rhs_tvs = tvars_of rhs;
522 val _ = if null (subtract (op =) lhs_vs rhs_vs)
524 else bad "Free variables on right hand side of equation";
525 val _ = if null (subtract (op =) lhs_tvs rhs_tvs)
527 else bad "Free type variables on right hand side of equation";
528 val (head, args) = strip_comb lhs;
529 val (c, ty) = case head
530 of Const (c_ty as (_, ty)) => (AxClass.unoverload_const thy c_ty, ty)
531 | _ => bad "Equation not headed by constant";
532 fun check _ (Abs _) = bad "Abstraction on left hand side of equation"
533 | check 0 (Var _) = ()
534 | check _ (Var _) = bad "Variable with application on left hand side of equation"
535 | check n (t1 $ t2) = (check (n+1) t1; check 0 t2)
536 | check n (Const (c_ty as (c, ty))) =
537 if allow_pats then let
538 val c' = AxClass.unoverload_const thy c_ty
539 in if n = (length o binder_types o subst_signature thy c') ty
540 then if allow_consts orelse is_constr thy c'
542 else bad (quote c ^ " is not a constructor, on left hand side of equation")
543 else bad ("Partially applied constant " ^ quote c ^ " on left hand side of equation")
544 end else bad ("Pattern not allowed here, but constant " ^ quote c ^ " encountered on left hand side")
545 val _ = map (check 0) args;
546 val _ = if allow_nonlinear orelse is_linear thm then ()
547 else bad "Duplicate variables on left hand side of equation";
548 val _ = if (is_none o AxClass.class_of_param thy) c then ()
549 else bad "Overloaded constant as head in equation";
550 val _ = if not (is_constr thy c) then ()
551 else bad "Constructor as head in equation";
552 val _ = if not (is_abstr thy c) then ()
553 else bad "Abstractor as head in equation";
554 val _ = check_decl_ty thy (c, ty);
557 fun gen_assert_eqn thy check_patterns (thm, proper) =
559 fun bad s = bad_thm (s ^ ":\n" ^ Display.string_of_thm_global thy thm);
560 val (lhs, rhs) = (Logic.dest_equals o Thm.plain_prop_of) thm
561 handle TERM _ => bad "Not an equation"
562 | THM _ => bad "Not a proper equation";
563 val _ = check_eqn thy { allow_nonlinear = not proper,
564 allow_consts = not (proper andalso check_patterns), allow_pats = true } thm (lhs, rhs);
565 in (thm, proper) end;
567 fun assert_abs_eqn thy some_tyco thm =
569 fun bad s = bad_thm (s ^ ":\n" ^ Display.string_of_thm_global thy thm);
570 val (full_lhs, rhs) = (Logic.dest_equals o Thm.plain_prop_of) thm
571 handle TERM _ => bad "Not an equation"
572 | THM _ => bad "Not a proper equation";
573 val (rep, lhs) = dest_comb full_lhs
574 handle TERM _ => bad "Not an abstract equation";
575 val (rep_const, ty) = dest_Const rep;
576 val (tyco, Ts) = (dest_Type o domain_type) ty
577 handle TERM _ => bad "Not an abstract equation"
578 | TYPE _ => bad "Not an abstract equation";
579 val _ = case some_tyco of SOME tyco' => if tyco = tyco' then ()
580 else bad ("Abstract type mismatch:" ^ quote tyco ^ " vs. " ^ quote tyco')
582 val (vs', (_, (rep', _))) = get_abstype_spec thy tyco;
583 val _ = if rep_const = rep' then ()
584 else bad ("Projection mismatch: " ^ quote rep_const ^ " vs. " ^ quote rep');
585 val _ = check_eqn thy { allow_nonlinear = false,
586 allow_consts = false, allow_pats = false } thm (lhs, rhs);
587 val _ = if forall2 (fn T => fn (_, sort) => Sign.of_sort thy (T, sort)) Ts vs' then ()
588 else error ("Type arguments do not satisfy sort constraints of abstype certificate.");
591 fun assert_eqn thy = error_thm (gen_assert_eqn thy true);
593 fun meta_rewrite thy = Local_Defs.meta_rewrite_rule (Proof_Context.init_global thy);
595 fun mk_eqn thy = error_thm (gen_assert_eqn thy false) o
596 apfst (meta_rewrite thy);
598 fun mk_eqn_warning thy = Option.map (fn (thm, _) => (thm, is_linear thm))
599 o warning_thm (gen_assert_eqn thy false) o rpair false o meta_rewrite thy;
601 fun mk_eqn_liberal thy = Option.map (fn (thm, _) => (thm, is_linear thm))
602 o try_thm (gen_assert_eqn thy false) o rpair false o meta_rewrite thy;
604 fun mk_abs_eqn thy = error_thm (assert_abs_eqn thy NONE) o meta_rewrite thy;
606 val head_eqn = dest_Const o fst o strip_comb o fst o Logic.dest_equals o Thm.plain_prop_of;
608 fun const_typ_eqn thy thm =
610 val (c, ty) = head_eqn thm;
611 val c' = AxClass.unoverload_const thy (c, ty);
612 (*permissive wrt. to overloaded constants!*)
615 fun const_eqn thy = fst o const_typ_eqn thy;
617 fun const_abs_eqn thy = AxClass.unoverload_const thy o dest_Const o fst o strip_comb o snd
618 o dest_comb o fst o Logic.dest_equals o Thm.plain_prop_of;
620 fun mk_proj tyco vs ty abs rep =
622 val ty_abs = Type (tyco, map TFree vs);
623 val xarg = Var (("x", 0), ty);
624 in Logic.mk_equals (Const (rep, ty_abs --> ty) $ (Const (abs, ty --> ty_abs) $ xarg), xarg) end;
627 (* technical transformations of code equations *)
629 fun expand_eta thy k thm =
631 val (lhs, rhs) = (Logic.dest_equals o Thm.plain_prop_of) thm;
632 val (_, args) = strip_comb lhs;
634 then (length o fst o strip_abs) rhs
635 else Int.max (0, k - length args);
636 val (raw_vars, _) = Term.strip_abs_eta l rhs;
637 val vars = burrow_fst (Name.variant_list (map (fst o fst) (Term.add_vars lhs [])))
639 fun expand (v, ty) thm = Drule.fun_cong_rule thm
640 (Thm.cterm_of thy (Var ((v, 0), ty)));
644 |> Conv.fconv_rule Drule.beta_eta_conversion
647 fun same_arity thy thms =
649 val num_args_of = length o snd o strip_comb o fst o Logic.dest_equals;
650 val k = fold (Integer.max o num_args_of o Thm.prop_of) thms 0;
651 in map (expand_eta thy k) thms end;
653 fun mk_desymbolization pre post mk vs =
655 val names = map (pre o fst o fst) vs
656 |> map (Name.desymbolize false)
657 |> Name.variant_list []
659 in map_filter (fn (((v, i), x), v') =>
660 if v = v' andalso i = 0 then NONE
661 else SOME (((v, i), x), mk ((v', 0), x))) (vs ~~ names)
664 fun desymbolize_tvars thms =
666 val tvs = fold (Term.add_tvars o Thm.prop_of) thms [];
667 val tvar_subst = mk_desymbolization (unprefix "'") (prefix "'") TVar tvs;
668 in map (Thm.certify_instantiate (tvar_subst, [])) thms end;
670 fun desymbolize_vars thm =
672 val vs = Term.add_vars (Thm.prop_of thm) [];
673 val var_subst = mk_desymbolization I I Var vs;
674 in Thm.certify_instantiate ([], var_subst) thm end;
676 fun canonize_thms thy = desymbolize_tvars #> same_arity thy #> map desymbolize_vars;
679 (* abstype certificates *)
681 fun check_abstype_cert thy proto_thm =
683 val thm = (AxClass.unoverload thy o meta_rewrite thy) proto_thm;
684 fun bad s = bad_thm (s ^ ":\n" ^ Display.string_of_thm_global thy thm);
685 val (lhs, rhs) = Logic.dest_equals (Thm.plain_prop_of thm)
686 handle TERM _ => bad "Not an equation"
687 | THM _ => bad "Not a proper equation";
688 val ((abs, raw_ty), ((rep, rep_ty), param)) = (apsnd (apfst dest_Const o dest_comb)
689 o apfst dest_Const o dest_comb) lhs
690 handle TERM _ => bad "Not an abstype certificate";
691 val _ = pairself (fn c => if (is_some o AxClass.class_of_param thy) c
692 then error ("Is a class parameter: " ^ string_of_const thy c) else ()) (abs, rep);
693 val _ = check_decl_ty thy (abs, raw_ty);
694 val _ = check_decl_ty thy (rep, rep_ty);
695 val _ = (fst o dest_Var) param
696 handle TERM _ => bad "Not an abstype certificate";
697 val _ = if param = rhs then () else bad "Not an abstype certificate";
698 val ((tyco, sorts), (abs, (vs, ty'))) = analyze_constructor thy (abs, Logic.unvarifyT_global raw_ty);
699 val ty = domain_type ty';
700 val (vs', _) = logical_typscheme thy (abs, ty');
701 in (tyco, (vs ~~ sorts, ((abs, (vs', ty)), (rep, thm)))) end;
704 (* code equation certificates *)
706 fun build_head thy (c, ty) =
707 Thm.cterm_of thy (Logic.mk_equals (Free ("HEAD", ty), Const (c, ty)));
709 fun get_head thy cert_thm =
711 val [head] = (#hyps o Thm.crep_thm) cert_thm;
712 val (_, Const (c, ty)) = (Logic.dest_equals o Thm.term_of) head;
713 in (typscheme thy (c, ty), head) end;
715 fun typscheme_projection thy =
716 typscheme thy o dest_Const o fst o dest_comb o fst o Logic.dest_equals;
718 fun typscheme_abs thy =
719 typscheme thy o dest_Const o fst o strip_comb o snd o dest_comb o fst o Logic.dest_equals o Thm.prop_of;
721 fun constrain_thm thy vs sorts thm =
723 val mapping = map2 (fn (v, sort) => fn sort' =>
724 (v, Sorts.inter_sort (Sign.classes_of thy) (sort, sort'))) vs sorts;
725 val inst = map2 (fn (v, sort) => fn (_, sort') =>
726 (((v, 0), sort), TFree (v, sort'))) vs mapping;
727 val subst = (map_types o map_type_tfree)
728 (fn (v, _) => TFree (v, the (AList.lookup (op =) mapping v)));
731 |> Thm.varifyT_global
732 |> Thm.certify_instantiate (inst, [])
736 fun concretify_abs thy tyco abs_thm =
738 val (_, ((c, _), (_, cert))) = get_abstype_spec thy tyco;
739 val lhs = (fst o Logic.dest_equals o Thm.prop_of) abs_thm
740 val ty = fastype_of lhs;
741 val ty_abs = (fastype_of o snd o dest_comb) lhs;
742 val abs = Thm.cterm_of thy (Const (c, ty --> ty_abs));
743 val raw_concrete_thm = Drule.transitive_thm OF [Thm.symmetric cert, Thm.combination (Thm.reflexive abs) abs_thm];
744 in (c, (Thm.varifyT_global o zero_var_indexes) raw_concrete_thm) end;
746 fun add_rhss_of_eqn thy t =
748 val (args, rhs) = (apfst (snd o strip_comb) o Logic.dest_equals o subst_signatures thy) t;
749 fun add_const (Const (c, ty)) = insert (op =) (c, Sign.const_typargs thy (c, ty))
751 val add_consts = fold_aterms add_const
752 in add_consts rhs o fold add_consts args end;
755 apfst (snd o strip_comb) o Logic.dest_equals o subst_signatures thy o Logic.unvarify_global;
757 abstype cert = Equations of thm * bool list
758 | Projection of term * string
759 | Abstract of thm * string
762 fun empty_cert thy c =
764 val raw_ty = Logic.unvarifyT_global (const_typ thy c);
765 val (vs, _) = logical_typscheme thy (c, raw_ty);
766 val sortargs = case AxClass.class_of_param thy c
767 of SOME class => [[class]]
768 | NONE => (case get_type_of_constr_or_abstr thy c
769 of SOME (tyco, _) => (map snd o fst o the)
770 (AList.lookup (op =) ((snd o fst o get_type thy) tyco) c)
771 | NONE => replicate (length vs) []);
772 val the_sort = the o AList.lookup (op =) (map fst vs ~~ sortargs);
773 val ty = map_type_tfree (fn (v, _) => TFree (v, the_sort v)) raw_ty
774 val chead = build_head thy (c, ty);
775 in Equations (Thm.weaken chead Drule.dummy_thm, []) end;
777 fun cert_of_eqns thy c [] = empty_cert thy c
778 | cert_of_eqns thy c raw_eqns =
780 val eqns = burrow_fst (canonize_thms thy) raw_eqns;
781 val _ = map (assert_eqn thy) eqns;
782 val (thms, propers) = split_list eqns;
783 val _ = map (fn thm => if c = const_eqn thy thm then ()
784 else error ("Wrong head of code equation,\nexpected constant "
785 ^ string_of_const thy c ^ "\n" ^ Display.string_of_thm_global thy thm)) thms;
786 fun tvars_of T = rev (Term.add_tvarsT T []);
787 val vss = map (tvars_of o snd o head_eqn) thms;
789 fold (curry (Sorts.inter_sort (Sign.classes_of thy)) o snd) vs [];
790 val sorts = map_transpose inter_sorts vss;
791 val vts = Name.invent_names Name.context Name.aT sorts;
793 map2 (fn vs => Thm.certify_instantiate (vs ~~ map TFree vts, [])) vss thms;
794 val head_thm = Thm.symmetric (Thm.assume (build_head thy (head_eqn (hd thms'))));
795 fun head_conv ct = if can Thm.dest_comb ct
796 then Conv.fun_conv head_conv ct
797 else Conv.rewr_conv head_thm ct;
798 val rewrite_head = Conv.fconv_rule (Conv.arg1_conv head_conv);
799 val cert_thm = Conjunction.intr_balanced (map rewrite_head thms');
800 in Equations (cert_thm, propers) end;
802 fun cert_of_proj thy c tyco =
804 val (vs, ((abs, (_, ty)), (rep, _))) = get_abstype_spec thy tyco;
805 val _ = if c = rep then () else
806 error ("Wrong head of projection,\nexpected constant " ^ string_of_const thy rep);
807 in Projection (mk_proj tyco vs ty abs rep, tyco) end;
809 fun cert_of_abs thy tyco c raw_abs_thm =
811 val abs_thm = singleton (canonize_thms thy) raw_abs_thm;
812 val _ = assert_abs_eqn thy (SOME tyco) abs_thm;
813 val _ = if c = const_abs_eqn thy abs_thm then ()
814 else error ("Wrong head of abstract code equation,\nexpected constant "
815 ^ string_of_const thy c ^ "\n" ^ Display.string_of_thm_global thy abs_thm);
816 in Abstract (Thm.legacy_freezeT abs_thm, tyco) end;
818 fun constrain_cert thy sorts (Equations (cert_thm, propers)) =
820 val ((vs, _), head) = get_head thy cert_thm;
821 val (subst, cert_thm') = cert_thm
822 |> Thm.implies_intr head
823 |> constrain_thm thy vs sorts;
824 val head' = Thm.term_of head
827 val cert_thm'' = cert_thm'
828 |> Thm.elim_implies (Thm.assume head');
829 in Equations (cert_thm'', propers) end
830 | constrain_cert thy _ (cert as Projection _) =
832 | constrain_cert thy sorts (Abstract (abs_thm, tyco)) =
833 Abstract (snd (constrain_thm thy (fst (typscheme_abs thy abs_thm)) sorts abs_thm), tyco);
835 fun typscheme_of_cert thy (Equations (cert_thm, _)) =
836 fst (get_head thy cert_thm)
837 | typscheme_of_cert thy (Projection (proj, _)) =
838 typscheme_projection thy proj
839 | typscheme_of_cert thy (Abstract (abs_thm, _)) =
840 typscheme_abs thy abs_thm;
842 fun typargs_deps_of_cert thy (Equations (cert_thm, propers)) =
844 val vs = (fst o fst) (get_head thy cert_thm);
845 val equations = if null propers then [] else
847 |> Logic.dest_conjunction_balanced (length propers);
848 in (vs, fold (add_rhss_of_eqn thy) equations []) end
849 | typargs_deps_of_cert thy (Projection (t, _)) =
850 (fst (typscheme_projection thy t), add_rhss_of_eqn thy t [])
851 | typargs_deps_of_cert thy (Abstract (abs_thm, tyco)) =
853 val vs = fst (typscheme_abs thy abs_thm);
854 val (_, concrete_thm) = concretify_abs thy tyco abs_thm;
855 in (vs, add_rhss_of_eqn thy (map_types Logic.unvarifyT_global (Thm.prop_of concrete_thm)) []) end;
857 fun equations_of_cert thy (cert as Equations (cert_thm, propers)) =
859 val tyscm = typscheme_of_cert thy cert;
860 val thms = if null propers then [] else
862 |> Local_Defs.expand [snd (get_head thy cert_thm)]
863 |> Thm.varifyT_global
864 |> Conjunction.elim_balanced (length propers);
865 fun abstractions (args, rhs) = (map (rpair NONE) args, (rhs, NONE));
866 in (tyscm, map (abstractions o dest_eqn thy o Thm.prop_of) thms ~~ (map SOME thms ~~ propers)) end
867 | equations_of_cert thy (Projection (t, tyco)) =
869 val (_, ((abs, _), _)) = get_abstype_spec thy tyco;
870 val tyscm = typscheme_projection thy t;
871 val t' = map_types Logic.varifyT_global t;
872 fun abstractions (args, rhs) = (map (rpair (SOME abs)) args, (rhs, NONE));
873 in (tyscm, [((abstractions o dest_eqn thy) t', (NONE, true))]) end
874 | equations_of_cert thy (Abstract (abs_thm, tyco)) =
876 val tyscm = typscheme_abs thy abs_thm;
877 val (abs, concrete_thm) = concretify_abs thy tyco abs_thm;
878 fun abstractions (args, rhs) = (map (rpair NONE) args, (rhs, (SOME abs)));
880 (tyscm, [((abstractions o dest_eqn thy o Thm.prop_of) concrete_thm,
881 (SOME (Thm.varifyT_global abs_thm), true))])
884 fun pretty_cert thy (cert as Equations _) =
885 (map_filter (Option.map (Display.pretty_thm_global thy o AxClass.overload thy) o fst o snd)
886 o snd o equations_of_cert thy) cert
887 | pretty_cert thy (Projection (t, _)) =
888 [Syntax.pretty_term_global thy (map_types Logic.varifyT_global t)]
889 | pretty_cert thy (Abstract (abs_thm, _)) =
890 [(Display.pretty_thm_global thy o AxClass.overload thy o Thm.varifyT_global) abs_thm];
892 fun bare_thms_of_cert thy (cert as Equations _) =
893 (map_filter (fn (_, (some_thm, proper)) => if proper then some_thm else NONE)
894 o snd o equations_of_cert thy) cert
895 | bare_thms_of_cert thy (Projection _) = []
896 | bare_thms_of_cert thy (Abstract (abs_thm, tyco)) =
897 [Thm.varifyT_global (snd (concretify_abs thy tyco abs_thm))];
902 (* code certificate access *)
904 fun retrieve_raw thy c =
905 Symtab.lookup ((the_functions o the_exec) thy) c
906 |> Option.map (snd o fst)
907 |> the_default empty_fun_spec
909 fun get_cert thy f c = case retrieve_raw thy c
910 of Default (_, eqns_lazy) => Lazy.force eqns_lazy
911 |> (map o apfst) (Thm.transfer thy)
913 |> (map o apfst) (AxClass.unoverload thy)
914 |> cert_of_eqns thy c
916 |> (map o apfst) (Thm.transfer thy)
918 |> (map o apfst) (AxClass.unoverload thy)
919 |> cert_of_eqns thy c
921 cert_of_proj thy c tyco
922 | Abstr (abs_thm, tyco) => abs_thm
924 |> AxClass.unoverload thy
925 |> cert_of_abs thy tyco c;
930 fun case_certificate thm =
932 val ((head, raw_case_expr), cases) = (apfst Logic.dest_equals
933 o apsnd Logic.dest_conjunctions o Logic.dest_implies o Thm.plain_prop_of) thm;
934 val _ = case head of Free _ => true
936 | _ => raise TERM ("case_cert", []);
937 val ([(case_var, _)], case_expr) = Term.strip_abs_eta 1 raw_case_expr;
938 val (Const (case_const, _), raw_params) = strip_comb case_expr;
939 val n = find_index (fn Free (v, _) => v = case_var | _ => false) raw_params;
940 val _ = if n = ~1 then raise TERM ("case_cert", []) else ();
941 val params = map (fst o dest_Var) (nth_drop n raw_params);
944 val (head' $ t_co, rhs) = Logic.dest_equals t;
945 val _ = if head' = head then () else raise TERM ("case_cert", []);
946 val (Const (co, _), args) = strip_comb t_co;
947 val (Var (param, _), args') = strip_comb rhs;
948 val _ = if args' = args then () else raise TERM ("case_cert", []);
950 fun analyze_cases cases =
952 val co_list = fold (AList.update (op =) o dest_case) cases [];
953 in map (the o AList.lookup (op =) co_list) params end;
956 val (head' $ arg, Var (param', _) $ arg') = Logic.dest_equals t;
957 val _ = if head' = head then () else raise TERM ("case_cert", []);
958 val _ = if arg' = arg then () else raise TERM ("case_cert", []);
959 val _ = if [param'] = params then () else raise TERM ("case_cert", []);
961 fun analyze (cases as [let_case]) =
962 (analyze_cases cases handle Bind => analyze_let let_case)
963 | analyze cases = analyze_cases cases;
964 in (case_const, (n, analyze cases)) end;
966 fun case_cert thm = case_certificate thm
967 handle Bind => error "bad case certificate"
968 | TERM _ => error "bad case certificate";
970 fun get_case_scheme thy = Option.map fst o Symtab.lookup ((fst o the_cases o the_exec) thy);
971 fun get_case_cong thy = Option.map snd o Symtab.lookup ((fst o the_cases o the_exec) thy);
973 val undefineds = Symtab.keys o snd o the_cases o the_exec;
978 fun print_codesetup thy =
980 val ctxt = Proof_Context.init_global thy;
981 val exec = the_exec thy;
982 fun pretty_equations const thms =
983 (Pretty.block o Pretty.fbreaks) (
984 Pretty.str (string_of_const thy const) :: map (Display.pretty_thm ctxt) thms
986 fun pretty_function (const, Default (_, eqns_lazy)) = pretty_equations const (map fst (Lazy.force eqns_lazy))
987 | pretty_function (const, Eqns eqns) = pretty_equations const (map fst eqns)
988 | pretty_function (const, Proj (proj, _)) = Pretty.block
989 [Pretty.str (string_of_const thy const), Pretty.fbrk, Syntax.pretty_term ctxt proj]
990 | pretty_function (const, Abstr (thm, _)) = pretty_equations const [thm];
991 fun pretty_typ (tyco, vs) = Pretty.str
992 (string_of_typ thy (Type (tyco, map TFree vs)));
993 fun pretty_typspec (typ, (cos, abstract)) = if null cos
995 else (Pretty.block o Pretty.breaks) (
998 :: (if abstract then [Pretty.str "(abstract)"] else [])
999 @ separate (Pretty.str "|") (map (fn (c, (_, [])) => Pretty.str (string_of_const thy c)
1001 (Pretty.block o Pretty.breaks)
1002 (Pretty.str (string_of_const thy c)
1004 :: map (Pretty.quote o Syntax.pretty_typ_global thy) tys)) cos)
1006 fun pretty_case (const, ((_, (_, [])), _)) = Pretty.str (string_of_const thy const)
1007 | pretty_case (const, ((_, (_, cos)), _)) = (Pretty.block o Pretty.breaks) [
1008 Pretty.str (string_of_const thy const), Pretty.str "with",
1009 (Pretty.block o Pretty.commas o map (Pretty.str o string_of_const thy)) cos];
1010 val functions = the_functions exec
1012 |> (map o apsnd) (snd o fst)
1013 |> sort (string_ord o pairself fst);
1014 val datatypes = the_types exec
1016 |> map (fn (tyco, (_, (vs, spec)) :: _) =>
1017 ((tyco, vs), constructors_of spec))
1018 |> sort (string_ord o pairself (fst o fst));
1019 val cases = Symtab.dest ((fst o the_cases o the_exec) thy);
1020 val undefineds = Symtab.keys ((snd o the_cases o the_exec) thy);
1022 (Pretty.writeln o Pretty.chunks) [
1024 Pretty.str "code equations:" :: Pretty.fbrk
1025 :: (Pretty.fbreaks o map pretty_function) functions
1028 Pretty.str "datatypes:" :: Pretty.fbrk
1029 :: (Pretty.fbreaks o map pretty_typspec) datatypes
1032 Pretty.str "cases:" :: Pretty.fbrk
1033 :: (Pretty.fbreaks o map pretty_case) cases
1036 Pretty.str "undefined:" :: Pretty.fbrk
1037 :: (Pretty.commas o map (Pretty.str o string_of_const thy)) undefineds
1043 (** declaring executable ingredients **)
1045 (* constant signatures *)
1047 fun add_type tyco thy =
1048 case Symtab.lookup ((snd o #types o Type.rep_tsig o Sign.tsig_of) thy) tyco
1049 of SOME (Type.Abbreviation (vs, _, _)) =>
1050 (map_exec_purge o map_signatures o apfst)
1051 (Symtab.update (tyco, length vs)) thy
1052 | _ => error ("No such type abbreviation: " ^ quote tyco);
1054 fun add_type_cmd s thy = add_type (Sign.intern_type thy s) thy;
1056 fun gen_add_signature prep_const prep_signature (raw_c, raw_ty) thy =
1058 val c = prep_const thy raw_c;
1059 val ty = prep_signature thy raw_ty;
1060 val ty' = expand_signature thy ty;
1061 val ty'' = Sign.the_const_type thy c;
1062 val _ = if typ_equiv (ty', ty'') then () else
1063 error ("Illegal constant signature: " ^ Syntax.string_of_typ_global thy ty);
1066 |> (map_exec_purge o map_signatures o apsnd) (Symtab.update (c, ty))
1069 val add_signature = gen_add_signature (K I) cert_signature;
1070 val add_signature_cmd = gen_add_signature read_const read_signature;
1073 (* code equations *)
1075 fun gen_add_eqn default (raw_thm, proper) thy =
1077 val thm = Thm.close_derivation raw_thm;
1078 val c = const_eqn thy thm;
1079 fun update_subsume thy (thm, proper) eqns =
1081 val args_of = snd o chop_while is_Var o rev o snd o strip_comb
1082 o map_types Type.strip_sorts o fst o Logic.dest_equals o Thm.plain_prop_of;
1083 val args = args_of thm;
1084 val incr_idx = Logic.incr_indexes ([], Thm.maxidx_of thm + 1);
1085 fun matches_args args' =
1087 val k = length args' - length args
1089 then Pattern.matchess thy (args, (map incr_idx o drop k) args')
1092 fun drop (thm', proper') = if (proper orelse not proper')
1093 andalso matches_args (args_of thm') then
1094 (warning ("Code generator: dropping subsumed code equation\n" ^
1095 Display.string_of_thm_global thy thm'); true)
1097 in (thm, proper) :: filter_out drop eqns end;
1098 fun natural_order thy_ref eqns =
1099 (eqns, Lazy.lazy (fn () => fold (update_subsume (Theory.deref thy_ref)) eqns []))
1100 fun add_eqn' true (Default (eqns, _)) =
1101 Default (natural_order (Theory.check_thy thy) ((thm, proper) :: eqns))
1102 (*this restores the natural order and drops syntactic redundancies*)
1103 | add_eqn' true fun_spec = fun_spec
1104 | add_eqn' false (Eqns eqns) = Eqns (update_subsume thy (thm, proper) eqns)
1105 | add_eqn' false _ = Eqns [(thm, proper)];
1106 in change_fun_spec false c (add_eqn' default) thy end;
1108 fun add_eqn thm thy =
1109 gen_add_eqn false (mk_eqn thy (thm, true)) thy;
1111 fun add_warning_eqn thm thy =
1112 case mk_eqn_warning thy thm
1113 of SOME eqn => gen_add_eqn false eqn thy
1116 fun add_nbe_eqn thm thy =
1117 gen_add_eqn false (mk_eqn thy (thm, false)) thy;
1119 fun add_default_eqn thm thy =
1120 case mk_eqn_liberal thy thm
1121 of SOME eqn => gen_add_eqn true eqn thy
1124 val add_default_eqn_attribute = Thm.declaration_attribute
1125 (fn thm => Context.mapping (add_default_eqn thm) I);
1126 val add_default_eqn_attrib = Attrib.internal (K add_default_eqn_attribute);
1128 fun add_nbe_default_eqn thm thy =
1129 gen_add_eqn true (mk_eqn thy (thm, false)) thy;
1131 val add_nbe_default_eqn_attribute = Thm.declaration_attribute
1132 (fn thm => Context.mapping (add_nbe_default_eqn thm) I);
1133 val add_nbe_default_eqn_attrib = Attrib.internal (K add_nbe_default_eqn_attribute);
1135 fun add_abs_eqn raw_thm thy =
1137 val (abs_thm, tyco) = (apfst Thm.close_derivation o mk_abs_eqn thy) raw_thm;
1138 val c = const_abs_eqn thy abs_thm;
1139 in change_fun_spec false c (K (Abstr (abs_thm, tyco))) thy end;
1141 fun del_eqn thm thy = case mk_eqn_liberal thy thm
1142 of SOME (thm, _) => let
1143 fun del_eqn' (Default _) = empty_fun_spec
1144 | del_eqn' (Eqns eqns) =
1145 Eqns (filter_out (fn (thm', _) => Thm.eq_thm_prop (thm, thm')) eqns)
1146 | del_eqn' spec = spec
1147 in change_fun_spec true (const_eqn thy thm) del_eqn' thy end
1150 fun del_eqns c = change_fun_spec true c (K empty_fun_spec);
1155 fun case_cong thy case_const (num_args, (pos, _)) =
1157 val ([x, y], ctxt) = fold_map Name.variant ["A", "A'"] Name.context;
1158 val (zs, _) = fold_map Name.variant (replicate (num_args - 1) "") ctxt;
1159 val (ws, vs) = chop pos zs;
1160 val T = Logic.unvarifyT_global (Sign.the_const_type thy case_const);
1161 val Ts = binder_types T;
1162 val T_cong = nth Ts pos;
1163 fun mk_prem z = Free (z, T_cong);
1164 fun mk_concl z = list_comb (Const (case_const, T), map2 (curry Free) (ws @ z :: vs) Ts);
1165 val (prem, concl) = pairself Logic.mk_equals (pairself mk_prem (x, y), pairself mk_concl (x, y));
1166 fun tac { context, prems } = Simplifier.rewrite_goals_tac prems
1167 THEN ALLGOALS (Proof_Context.fact_tac [Drule.reflexive_thm]);
1168 in Skip_Proof.prove_global thy (x :: y :: zs) [prem] concl tac end;
1170 fun add_case thm thy =
1172 val (case_const, (k, cos)) = case_cert thm;
1173 val _ = case filter_out (is_constr thy) cos
1175 | cs => error ("Non-constructor(s) in case certificate: " ^ commas (map quote cs));
1176 val entry = (1 + Int.max (1, length cos), (k, cos));
1177 fun register_case cong = (map_cases o apfst)
1178 (Symtab.update (case_const, (entry, cong)));
1179 fun register_for_constructors (Constructors (cos', cases)) =
1181 if exists (fn (co, _) => member (op =) cos co) cos'
1182 then insert (op =) case_const cases
1184 | register_for_constructors (x as Abstractor _) = x;
1185 val register_type = (map_typs o Symtab.map)
1186 (K ((map o apsnd o apsnd) register_for_constructors));
1189 |> Theory.checkpoint
1190 |> `(fn thy => case_cong thy case_const entry)
1191 |-> (fn cong => map_exec_purge (register_case cong #> register_type))
1194 fun add_undefined c thy =
1195 (map_exec_purge o map_cases o apsnd) (Symtab.update (c, ())) thy;
1200 fun register_type (tyco, vs_spec) thy =
1202 val (old_constrs, some_old_proj) =
1203 case these (Symtab.lookup ((the_types o the_exec) thy) tyco)
1204 of (_, (_, Constructors (cos, _))) :: _ => (map fst cos, NONE)
1205 | (_, (_, Abstractor ((co, _), (proj, _)))) :: _ => ([co], SOME proj)
1207 val outdated_funs1 = (map fst o fst o constructors_of o snd) vs_spec;
1208 val outdated_funs2 = case some_old_proj
1210 | SOME old_proj => Symtab.fold
1211 (fn (c, ((_, spec), _)) =>
1212 if member (op =) (the_list (associated_abstype spec)) tyco
1213 then insert (op =) c else I)
1214 ((the_functions o the_exec) thy) [old_proj];
1215 fun drop_outdated_cases cases = fold Symtab.delete_safe
1216 (Symtab.fold (fn (c, ((_, (_, cos)), _)) =>
1217 if exists (member (op =) old_constrs) cos
1218 then insert (op =) c else I) cases []) cases;
1221 |> fold del_eqns (outdated_funs1 @ outdated_funs2)
1223 ((map_typs o Symtab.map_default (tyco, [])) (cons (serial (), vs_spec))
1224 #> (map_cases o apfst) drop_outdated_cases)
1227 fun unoverload_const_typ thy (c, ty) = (AxClass.unoverload_const thy (c, ty), ty);
1229 structure Datatype_Interpretation =
1230 Interpretation(type T = string * serial val eq = eq_snd (op =) : T * T -> bool);
1232 fun datatype_interpretation f = Datatype_Interpretation.interpretation
1233 (fn (tyco, _) => fn thy => f (tyco, fst (get_type thy tyco)) thy);
1235 fun add_datatype proto_constrs thy =
1237 val constrs = map (unoverload_const_typ thy) proto_constrs;
1238 val (tyco, (vs, cos)) = constrset_of_consts thy constrs;
1241 |> register_type (tyco, (vs, Constructors (cos, [])))
1242 |> Datatype_Interpretation.data (tyco, serial ())
1245 fun add_datatype_cmd raw_constrs thy =
1246 add_datatype (map (read_bare_const thy) raw_constrs) thy;
1248 structure Abstype_Interpretation =
1249 Interpretation(type T = string * serial val eq = eq_snd (op =) : T * T -> bool);
1251 fun abstype_interpretation f = Abstype_Interpretation.interpretation
1252 (fn (tyco, _) => fn thy => f (tyco, get_abstype_spec thy tyco) thy);
1254 fun add_abstype proto_thm thy =
1256 val (tyco, (vs, (abs_ty as (abs, (_, ty)), (rep, cert)))) =
1257 error_thm (check_abstype_cert thy) proto_thm;
1260 |> register_type (tyco, (vs, Abstractor (abs_ty, (rep, cert))))
1261 |> change_fun_spec false rep ((K o Proj)
1262 (map_types Logic.varifyT_global (mk_proj tyco vs ty abs rep), tyco))
1263 |> Abstype_Interpretation.data (tyco, serial ())
1267 (** infrastructure **)
1269 (* cf. src/HOL/Tools/recfun_codegen.ML *)
1271 structure Code_Target_Attr = Theory_Data
1273 type T = (string -> thm -> theory -> theory) option;
1276 val merge = merge_options;
1279 fun set_code_target_attr f = Code_Target_Attr.map (K (SOME f));
1281 fun code_target_attr prefix thm thy =
1283 val attr = the_default ((K o K) I) (Code_Target_Attr.get thy);
1284 in thy |> add_warning_eqn thm |> attr prefix thm end;
1289 val _ = Context.>> (Context.map_theory
1291 fun mk_attribute f = Thm.declaration_attribute (fn thm => Context.mapping (f thm) I);
1292 val code_attribute_parser =
1293 Args.del |-- Scan.succeed (mk_attribute del_eqn)
1294 || Args.$$$ "nbe" |-- Scan.succeed (mk_attribute add_nbe_eqn)
1295 || Args.$$$ "abstype" |-- Scan.succeed (mk_attribute add_abstype)
1296 || Args.$$$ "abstract" |-- Scan.succeed (mk_attribute add_abs_eqn)
1297 || (Args.$$$ "target" |-- Args.colon |-- Args.name >>
1298 (mk_attribute o code_target_attr))
1299 || Scan.succeed (mk_attribute add_warning_eqn);
1301 Datatype_Interpretation.init
1302 #> Attrib.setup (Binding.name "code") (Scan.lift code_attribute_parser)
1303 "declare theorems for code generation"
1309 (* type-safe interfaces for data dependent on executable code *)
1311 functor Code_Data(Data: CODE_DATA_ARGS): CODE_DATA =
1315 exception Data of T;
1316 fun dest (Data x) = x
1318 val kind = Code.declare_data (Data Data.empty);
1320 val data_op = (kind, Data, dest);
1322 fun change_yield (SOME thy) f = Code.change_yield_data data_op thy f
1323 | change_yield NONE f = f Data.empty
1325 fun change some_thy f = snd (change_yield some_thy (pair () o f));
1329 structure Code : CODE = struct open Code; end;