1 (* Title: Pure/Syntax/type_ext.ML
3 Author: Tobias Nipkow and Markus Wenzel, TU Muenchen
4 License: GPL (GNU GENERAL PUBLIC LICENSE)
6 Utilities for input and output of types. Also the concrete syntax of
7 types, which is required to bootstrap Pure.
12 val sort_of_term: term -> sort
13 val raw_term_sorts: term -> (indexname * sort) list
14 val typ_of_term: (indexname -> sort) -> (sort -> sort) -> term -> typ
15 val term_of_typ: bool -> typ -> term
16 val no_brackets: unit -> bool
22 val term_of_sort: sort -> term
23 val tappl_ast_tr': Ast.ast * Ast.ast list -> Ast.ast
25 val type_ext: SynExt.syn_ext
28 structure TypeExt : TYPE_EXT =
38 fun classes (Const (c, _)) = [c]
39 | classes (Free (c, _)) = [c]
40 | classes (Const ("_classes", _) $ Const (c, _) $ cs) = c :: classes cs
41 | classes (Const ("_classes", _) $ Free (c, _) $ cs) = c :: classes cs
42 | classes tm = raise TERM ("sort_of_term: bad encoding of classes", [tm]);
44 fun sort (Const ("_topsort", _)) = []
45 | sort (Const (c, _)) = [c]
46 | sort (Free (c, _)) = [c]
47 | sort (Const ("_class",_) $ Free (c, _)) = [c]
48 | sort (Const ("_sort", _) $ cs) = classes cs
49 | sort tm = raise TERM ("sort_of_term: bad encoding of sort", [tm]);
55 fun raw_term_sorts tm =
57 fun add_env (Const ("_ofsort", _) $ Free (x, _) $ cs) env = ((x, ~1), sort_of_term cs) ins env
58 | add_env (Const ("_ofsort", _) $ (Const ("_tfree",_) $ Free (x, _)) $ cs) env
59 = ((x, ~1), sort_of_term cs) ins env
60 | add_env (Const ("_ofsort", _) $ Var (xi, _) $ cs) env = (xi, sort_of_term cs) ins env
61 | add_env (Const ("_ofsort", _) $ (Const ("_tvar",_) $ Var (xi, _)) $ cs) env
62 = (xi, sort_of_term cs) ins env
63 | add_env (Abs (_, _, t)) env = add_env t env
64 | add_env (t1 $ t2) env = add_env t1 (add_env t2 env)
65 | add_env t env = env;
71 fun typ_of_term get_sort map_sort t =
73 fun typ_of (Free (x, _)) =
74 if Lexicon.is_tid x then TFree (x, get_sort (x, ~1))
76 | typ_of (Var (xi, _)) = TVar (xi, get_sort xi)
77 | typ_of (Const ("_tfree",_) $ (t as Free x)) = typ_of t
78 | typ_of (Const ("_tvar",_) $ (t as Var x)) = typ_of t
79 | typ_of (Const ("_ofsort", _) $ Free (x, _) $ _) = TFree (x, get_sort (x, ~1))
80 | typ_of (Const ("_ofsort", _) $ (Const ("_tfree",_) $ Free (x, _)) $ _)
81 = TFree (x, get_sort (x, ~1))
82 | typ_of (Const ("_ofsort", _) $ Var (xi, _) $ _) = TVar (xi, get_sort xi)
83 | typ_of (Const ("_ofsort", _) $ (Const ("_tvar",_) $ Var (xi, _)) $ _)
84 = TVar (xi, get_sort xi)
85 | typ_of (Const ("_dummy_ofsort", _) $ t) = TFree ("'_dummy_", map_sort (sort_of_term t))
89 val (t, ts) = strip_comb tm;
94 | _ => raise TERM ("typ_of_term: bad encoding of type", [tm]));
95 in Type (a, map typ_of ts) end;
106 fun class c = Lexicon.const "_class" $ Lexicon.free c;
108 fun classes [] = sys_error "term_of_sort"
109 | classes [c] = class c
110 | classes (c :: cs) = Lexicon.const "_classes" $ class c $ classes cs;
113 [] => Lexicon.const "_topsort"
115 | cs => Lexicon.const "_sort" $ classes cs)
121 fun term_of_typ show_sorts ty =
124 if show_sorts then Lexicon.const "_ofsort" $ t $ term_of_sort S
127 fun term_of (Type (a, Ts)) = list_comb (Lexicon.const a, map term_of Ts)
128 | term_of (TFree (x, S)) = of_sort (Lexicon.const "_tfree" $ Lexicon.free x) S
129 | term_of (TVar (xi, S)) = of_sort (Lexicon.const "_tvar" $ Lexicon.var xi) S;
134 (** the type syntax **)
138 val bracketsN = "brackets";
139 val no_bracketsN = "no_brackets";
142 Library.find_first (equal bracketsN orf equal no_bracketsN) (! print_mode)
145 val type_bracketsN = "type_brackets";
146 val no_type_bracketsN = "no_type_brackets";
148 fun no_type_brackets () =
149 Library.find_first (equal type_bracketsN orf equal no_type_bracketsN)
151 <> Some type_bracketsN;
154 (* parse ast translations *)
156 fun tapp_ast_tr (*"_tapp"*) [ty, f] = Ast.Appl [f, ty]
157 | tapp_ast_tr (*"_tapp"*) asts = raise Ast.AST ("tapp_ast_tr", asts);
159 fun tappl_ast_tr (*"_tappl"*) [ty, tys, f] =
160 Ast.Appl (f :: ty :: Ast.unfold_ast "_types" tys)
161 | tappl_ast_tr (*"_tappl"*) asts = raise Ast.AST ("tappl_ast_tr", asts);
163 fun bracket_ast_tr (*"_bracket"*) [dom, cod] =
164 Ast.fold_ast_p "fun" (Ast.unfold_ast "_types" dom, cod)
165 | bracket_ast_tr (*"_bracket"*) asts = raise Ast.AST ("bracket_ast_tr", asts);
168 (* print ast translations *)
170 fun tappl_ast_tr' (f, []) = raise Ast.AST ("tappl_ast_tr'", [f])
171 | tappl_ast_tr' (f, [ty]) = Ast.Appl [Ast.Constant "_tapp", ty, f]
172 | tappl_ast_tr' (f, ty :: tys) =
173 Ast.Appl [Ast.Constant "_tappl", ty, Ast.fold_ast "_types" tys, f];
175 fun fun_ast_tr' (*"fun"*) asts =
176 if no_brackets() orelse no_type_brackets() then raise Match
178 (case Ast.unfold_ast_p "fun" (Ast.Appl (Ast.Constant "fun" :: asts)) of
179 (dom as _ :: _ :: _, cod)
180 => Ast.Appl [Ast.Constant "_bracket", Ast.fold_ast "_types" dom, cod]
186 val sortT = Type ("sort", []);
187 val classesT = Type ("classes", []);
188 val typesT = Type ("types", []);
190 local open Lexicon SynExt in
192 val type_ext = mk_syn_ext false ["dummy"]
193 [Mfix ("_", tidT --> typeT, "", [], max_pri),
194 Mfix ("_", tvarT --> typeT, "", [], max_pri),
195 Mfix ("_", idT --> typeT, "", [], max_pri),
196 Mfix ("_", longidT --> typeT, "", [], max_pri),
197 Mfix ("_::_", [tidT, sortT] ---> typeT, "_ofsort", [max_pri, 0], max_pri),
198 Mfix ("_::_", [tvarT, sortT] ---> typeT, "_ofsort", [max_pri, 0], max_pri),
199 Mfix ("'_()::_", sortT --> typeT, "_dummy_ofsort", [0], max_pri),
200 Mfix ("_", idT --> sortT, "", [], max_pri),
201 Mfix ("_", longidT --> sortT, "", [], max_pri),
202 Mfix ("{}", sortT, "_topsort", [], max_pri),
203 Mfix ("{_}", classesT --> sortT, "_sort", [], max_pri),
204 Mfix ("_", idT --> classesT, "", [], max_pri),
205 Mfix ("_", longidT --> classesT, "", [], max_pri),
206 Mfix ("_,_", [idT, classesT] ---> classesT, "_classes", [], max_pri),
207 Mfix ("_,_", [longidT, classesT] ---> classesT, "_classes", [], max_pri),
208 Mfix ("_ _", [typeT, idT] ---> typeT, "_tapp", [max_pri, 0], max_pri),
209 Mfix ("_ _", [typeT, longidT] ---> typeT, "_tapp", [max_pri, 0], max_pri),
210 Mfix ("((1'(_,/ _')) _)", [typeT, typesT, idT] ---> typeT, "_tappl", [], max_pri),
211 Mfix ("((1'(_,/ _')) _)", [typeT, typesT, longidT] ---> typeT, "_tappl", [], max_pri),
212 Mfix ("_", typeT --> typesT, "", [], max_pri),
213 Mfix ("_,/ _", [typeT, typesT] ---> typesT, "_types", [], max_pri),
214 Mfix ("(_/ => _)", [typeT, typeT] ---> typeT, "fun", [1, 0], 0),
215 Mfix ("([_]/ => _)", [typesT, typeT] ---> typeT, "_bracket", [0, 0], 0),
216 Mfix ("'(_')", typeT --> typeT, "", [0], max_pri),
217 Mfix ("'_", typeT, "dummy", [], max_pri)]
219 ([("_tapp", tapp_ast_tr), ("_tappl", tappl_ast_tr), ("_bracket", bracket_ast_tr)],
222 [("fun", fun_ast_tr')])
223 TokenTrans.token_translation