2 ||M|| This file is part of HELM, an Hypertextual, Electronic
3 ||A|| Library of Mathematics, developed at the Computer Science
4 ||T|| Department, University of Bologna, Italy.
6 ||T|| HELM is free software; you can redistribute it and/or
7 ||A|| modify it under the terms of the GNU General Public License
8 \ / version 2 or (at your option) any later version.
9 \ / This software is distributed as is, NO WARRANTY.
10 V_______________________________________________________________ *)
18 let head_beta_reduce = ref (fun ~upto:_ _ -> assert false);;
19 let set_head_beta_reduce = (:=) head_beta_reduce;;
21 let get_obj = ref (fun _ -> assert false);;
22 let set_get_obj f = get_obj := f;;
24 let r2s pp_fix_name r =
27 | R.Ref (u,R.Ind (_,i,_)) ->
28 (match !get_obj u with
29 | _,_,_,_, C.Inductive (_,_,itl,_) ->
30 let _,name,_,_ = List.nth itl i in name
32 | R.Ref (u,R.Con (i,j,_)) ->
33 (match !get_obj u with
34 | _,_,_,_, C.Inductive (_,_,itl,_) ->
35 let _,_,_,cl = List.nth itl i in
36 let _,name,_ = List.nth cl (j-1) in name
38 | R.Ref (u,(R.Decl | R.Def _)) ->
39 (match !get_obj u with
40 | _,_,_,_, C.Constant (_,name,_,_,_) -> name
42 | R.Ref (u,(R.Fix (i,_,_)|R.CoFix i)) ->
43 (match !get_obj u with
44 | _,_,_,_, C.Fixpoint (_,fl,_) ->
46 let _,name,_,_,_ = List.nth fl i in name
48 NUri.name_of_uri u ^"("^ string_of_int i ^ ")"
51 | NCicEnvironment.ObjectNotFound _
53 | Invalid_argument "List.nth" -> R.string_of_reference r
57 let string_of_implicit_annotation = function
62 | `Typeof x -> "Ty("^string_of_int x^")"
65 let ppterm ~formatter:f ~context ~subst ~metasenv:_ ?(inside_fix=false) t =
66 let rec aux ?(toplevel=false) ctx = function
69 let name = List.nth ctx (m-1) in
70 F.fprintf f "%s" (if name = "_" then "__"^string_of_int m else name)
71 with Failure "nth" | Invalid_argument "List.nth" ->
72 F.fprintf f " -%d" (m - List.length ctx))
73 | C.Const r -> F.fprintf f "%s" (r2s inside_fix r)
75 if not toplevel then F.fprintf f "(";
76 F.fprintf f "@[<hov 1>";
78 | C.Prod ("_",_,_) -> aux ~toplevel:false ctx s
79 | _ -> aux ~toplevel:true ctx s);
81 aux ~toplevel:true ("_"::ctx) t;
83 if not toplevel then F.fprintf f ")";
84 | C.Prod (name,s,t) ->
85 if not toplevel then F.fprintf f "(";
86 F.fprintf f "@[<hov 1>";
87 F.fprintf f "@[<hov 2>∀%s:@;" name;
88 aux ~toplevel:true ctx s;
90 aux ~toplevel:true (name::ctx) t;
92 if not toplevel then F.fprintf f ")";
93 | C.Lambda (name,s,t) ->
94 if not toplevel then F.fprintf f "(";
95 F.fprintf f "@[<hov 1>";
96 F.fprintf f "λ%s:" name;
97 aux ~toplevel:true ctx s;
99 aux ~toplevel:true (name::ctx) t;
101 if not toplevel then F.fprintf f ")";
102 | C.LetIn (name,ty,t,b) ->
103 if not toplevel then F.fprintf f "(";
104 F.fprintf f "@[<hov 1>";
105 F.fprintf f "let %s:@;" name;
106 aux ~toplevel:true ctx ty;
108 aux ~toplevel:true ctx t;
109 F.fprintf f "@;in@;";
110 (aux ~toplevel:true (name::ctx) b);
112 if not toplevel then F.fprintf f ")";
113 | C.Match (r,oty,t,pl) ->
114 F.fprintf f "@[<hov>match ";
115 aux ~toplevel:true ctx t;
116 F.fprintf f "@;return ";
117 aux ~toplevel:true ctx oty;
118 F.fprintf f "@; @[<v>[ ";
121 F.fprintf f "@[<hov 2>%s ⇒@;"
122 (try r2s inside_fix (R.mk_constructor 1 r)
123 with R.IllFormedReference _ -> "#ERROR#");
124 aux ~toplevel:true ctx (List.hd pl);
126 ignore(List.fold_left
128 F.fprintf f "@;| @[<hov 2>%s ⇒@;"
129 (try r2s inside_fix (R.mk_constructor i r)
130 with R.IllFormedReference _ -> "#ERROR#");
131 aux ~toplevel:true ctx t;
136 F.fprintf f "]@] @]";
137 | C.Appl [] | C.Appl [_] | C.Appl (C.Appl _::_) ->
138 F.fprintf f "BAD APPLICATION"
139 | C.Appl (C.Meta (n,lc) :: args) when List.mem_assoc n subst ->
140 let _,_,t,_ = List.assoc n subst in
141 let hd = NCicSubstitution.subst_meta lc t in
143 (!head_beta_reduce ~upto:(List.length args)
145 | NCic.Appl l -> NCic.Appl (l@args)
146 | _ -> NCic.Appl (hd :: args)))
148 F.fprintf f "@[<hov 2>";
149 if not toplevel then F.fprintf f "(";
151 List.iter (fun x -> F.fprintf f "@;";aux ctx x) (List.tl l);
152 if not toplevel then F.fprintf f ")";
154 | C.Implicit annot ->
155 F.fprintf f "?%s" (string_of_implicit_annotation annot)
156 | C.Meta (n,lc) when List.mem_assoc n subst ->
157 let _,_,t,_ = List.assoc n subst in
158 aux ctx (NCicSubstitution.subst_meta lc t)
159 | C.Meta (n,(shift,C.Irl len)) ->
160 F.fprintf f "?%d(%d,%d)" n shift len
161 | C.Meta (n,(shift,C.Ctx l)) ->
162 F.fprintf f "?%d(%d,[" n shift;
163 if List.length l > 0 then
165 aux ctx (NCicSubstitution.lift shift (List.hd l));
166 List.iter (fun x -> F.fprintf f ",";aux ctx x)
167 (List.map (NCicSubstitution.lift shift) (List.tl l));
170 | C.Sort C.Prop -> F.fprintf f "Prop"
171 | C.Sort (C.Type []) -> F.fprintf f "Type0"
172 | C.Sort (C.Type [false, u]) -> F.fprintf f "%s" (NUri.name_of_uri u)
173 | C.Sort (C.Type [true, u]) -> F.fprintf f "S(%s)" (NUri.name_of_uri u)
174 | C.Sort (C.Type l) ->
176 aux ctx (C.Sort (C.Type [List.hd l]));
177 List.iter (fun x -> F.fprintf f ",";aux ctx (C.Sort (C.Type [x])))
181 aux ~toplevel:true (List.map fst context) t
185 let buff = Buffer.create 100 in
186 let formatter = F.formatter_of_buffer buff in
187 f ~formatter:formatter t;
188 F.fprintf formatter "@?";
192 let ppterm ~formatter ~context ~subst ~metasenv ?(margin=80) ?inside_fix t =
194 ppterm ~formatter ~context ~subst ~metasenv ?inside_fix t
197 let rec ppcontext ~formatter ?(sep="\n") ~subst ~metasenv = function
199 | (name, NCic.Decl t) :: tl ->
200 ppcontext ~formatter ~sep ~subst ~metasenv tl;
201 F.fprintf formatter "%s: " name;
202 ppterm ~formatter ~subst ~metasenv ~context:tl t;
203 F.fprintf formatter "%s" sep
204 | (name, NCic.Def (bo,ty)) :: tl->
205 ppcontext ~formatter ~sep ~subst ~metasenv tl;
206 F.fprintf formatter "%s: " name;
207 ppterm ~formatter ~subst ~metasenv ~context:tl ty;
208 F.fprintf formatter " := ";
209 ppterm ~formatter ~subst ~metasenv ~context:tl bo;
210 F.fprintf formatter "%s" sep
213 let rec ppmetasenv ~formatter ~subst metasenv = function
215 | (i,(name, ctx, ty)) :: tl ->
216 F.fprintf formatter "@[<hov 2>";
217 let name = match name with Some n -> "("^n^")" | _ -> "" in
218 ppcontext ~formatter ~sep:"; " ~subst ~metasenv ctx;
219 F.fprintf formatter "@;⊢@;?%d%s :@;" i name;
220 ppterm ~formatter ~metasenv ~subst ~context:ctx ty;
221 F.fprintf formatter "@]@\n";
222 ppmetasenv ~formatter ~subst metasenv tl
225 let ppmetasenv ~formatter ~subst metasenv =
226 ppmetasenv ~formatter ~subst metasenv metasenv
229 let rec ppsubst ~formatter ~subst ~metasenv = function
231 | (i,(name, ctx, t, ty)) :: tl ->
232 let name = match name with Some n -> "("^n^")" | _ -> "" in
233 ppcontext ~formatter ~sep:"; " ~subst ~metasenv ctx;
234 F.fprintf formatter " ⊢ ?%d%s := " i name;
235 ppterm ~formatter ~metasenv ~subst ~context:ctx t;
236 F.fprintf formatter " : ";
237 ppterm ~formatter ~metasenv ~subst ~context:ctx ty;
238 F.fprintf formatter "\n";
239 ppsubst ~formatter ~subst ~metasenv tl
242 let ppsubst ~formatter ~metasenv subst =
243 ppsubst ~formatter ~metasenv ~subst subst
246 let ppobj ~formatter (u,_,metasenv, subst, o) =
247 F.fprintf formatter "metasenv:\n";
248 ppmetasenv ~formatter ~subst metasenv;
249 F.fprintf formatter "\n";
250 F.fprintf formatter "subst:\n";
251 (*ppsubst subst ~formatter ~metasenv;*) F.fprintf formatter "...";
252 F.fprintf formatter "\n";
254 | NCic.Fixpoint (b, fl, _) ->
255 F.fprintf formatter "{%s}@\n@[<hov 0>" (NUri.string_of_uri u);
256 F.fprintf formatter "@[<hov 2>%s"(if b then "let rec " else "let corec ");
257 HExtlib.list_iter_sep
258 ~sep:(fun () -> F.fprintf formatter "@\n@[<hov 2>and ")
259 (fun (_,name,n,ty,bo) ->
260 F.fprintf formatter "%s on %d :@;" name n;
261 ppterm ~formatter ~metasenv ~subst ~context:[] ty;
262 F.fprintf formatter "@]@;@[<hov 2>:=@;";
263 ppterm ~formatter ~metasenv ~subst ~context:[] ~inside_fix:true bo;
264 F.fprintf formatter "@]") fl;
265 F.fprintf formatter "@]"
266 | NCic.Inductive (b, leftno,tyl, _) ->
267 F.fprintf formatter "{%s} with %d fixed params@\n@[<hov 0>@[<hov 2>%s"
268 (NUri.string_of_uri u) leftno
269 (if b then "inductive " else "coinductive ");
270 HExtlib.list_iter_sep
271 ~sep:(fun () -> F.fprintf formatter "@\n@[<hov 2>and ")
272 (fun (_,name,ty,cl) ->
273 F.fprintf formatter "%s:@;" name;
274 ppterm ~formatter ~metasenv ~subst ~context:[] ty;
275 F.fprintf formatter "@]@;@[<hov 3>:=@;";
276 HExtlib.list_iter_sep ~sep:(fun () -> F.fprintf formatter "@;")
278 F.fprintf formatter "| %s: " name;
279 ppterm ~formatter ~metasenv ~subst ~context:[] ty;)
281 F.fprintf formatter "@]"
283 F.fprintf formatter "@]"
284 | NCic.Constant (_,name,None,ty, _) ->
285 F.fprintf formatter "{%s}@\n@[<hov 2>axiom %s :@;" (NUri.string_of_uri u) name;
286 ppterm ~formatter ~metasenv ~subst ~context:[] ty;
287 F.fprintf formatter "@]@\n"
288 | NCic.Constant (_,name,Some bo,ty, _) ->
289 F.fprintf formatter "{%s}@\n@[<hov 0>@[<hov 2>definition %s :@;" (NUri.string_of_uri u) name;
290 ppterm ~formatter ~metasenv ~subst ~context:[] ty;
291 F.fprintf formatter "@]@;@[<hov 2>:=@;";
292 ppterm ~formatter ~metasenv ~subst ~context:[] bo;
293 F.fprintf formatter "@]@\n@]"
296 let ppterm ~context ~subst ~metasenv ?margin ?inside_fix t =
297 on_buffer (ppterm ~context ~subst ~metasenv ?margin ?inside_fix) t
300 let ppcontext ?sep ~subst ~metasenv ctx =
301 on_buffer (ppcontext ?sep ~subst ~metasenv) ctx
304 let ppmetasenv ~subst metasenv = on_buffer (ppmetasenv ~subst) metasenv;;
306 let ppsubst ~metasenv subst = on_buffer (ppsubst ~metasenv) subst;;
308 let ppobj obj = on_buffer ppobj obj;;
310 let _ = NCicSubstitution.set_ppterm (ppterm ~margin:80);;