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_______________________________________________________________ *)
17 let r2s pp_fix_name r =
20 | R.Ref (u,R.Ind (_,i,_)) ->
21 (match NCicLibrary.get_obj u with
22 | _,_,_,_, C.Inductive (_,_,itl,_) ->
23 let _,name,_,_ = List.nth itl i in name
25 | R.Ref (u,R.Con (i,j,_)) ->
26 (match NCicLibrary.get_obj u with
27 | _,_,_,_, C.Inductive (_,_,itl,_) ->
28 let _,_,_,cl = List.nth itl i in
29 let _,name,_ = List.nth cl (j-1) in name
31 | R.Ref (u,(R.Decl | R.Def _)) ->
32 (match NCicLibrary.get_obj u with
33 | _,_,_,_, C.Constant (_,name,_,_,_) -> name
35 | R.Ref (u,(R.Fix (i,_,_)|R.CoFix i)) ->
36 (match NCicLibrary.get_obj u with
37 | _,_,_,_, C.Fixpoint (_,fl,_) ->
39 let _,name,_,_,_ = List.nth fl i in name
41 NUri.name_of_uri u ^"("^ string_of_int i ^ ")"
43 with NCicLibrary.ObjectNotFound _ -> R.string_of_reference r
46 let ppterm ~context ~subst ~metasenv:_ ?(inside_fix=false) t =
47 let buff = Buffer.create 100 in
48 let f = Format.formatter_of_buffer buff in
49 let module F = Format in
50 let rec aux ?(toplevel=false) ctx = function
53 let name = List.nth ctx (m-1) in
54 F.fprintf f "%s" (if name = "_" then "__"^string_of_int m else name)
55 with Failure "nth" | Invalid_argument "List.nth" ->
56 F.fprintf f " -%d" (m - List.length ctx))
57 | C.Const r -> F.fprintf f "%s" (r2s inside_fix r)
59 if not toplevel then F.fprintf f "(";
60 F.fprintf f "@[<hov 1>";
62 | C.Prod ("_",_,_) -> aux ~toplevel:false ctx s
63 | _ -> aux ~toplevel:true ctx s);
65 aux ~toplevel:true ("_"::ctx) t;
67 if not toplevel then F.fprintf f ")";
68 | C.Prod (name,s,t) ->
69 if not toplevel then F.fprintf f "(";
70 F.fprintf f "@[<hov 1>";
71 F.fprintf f "@[<hov 2>∀%s:@;" name;
72 aux ~toplevel:true ctx s;
74 aux ~toplevel:true (name::ctx) t;
76 if not toplevel then F.fprintf f ")";
77 | C.Lambda (name,s,t) ->
78 if not toplevel then F.fprintf f "(";
79 F.fprintf f "@[<hov 1>";
80 F.fprintf f "λ%s:" name;
81 aux ~toplevel:true ctx s;
83 aux ~toplevel:true (name::ctx) t;
85 if not toplevel then F.fprintf f ")";
86 | C.LetIn (name,ty,t,b) ->
87 if not toplevel then F.fprintf f "(";
88 F.fprintf f "@[<hov 1>";
89 F.fprintf f "let %s:@;" name;
90 aux ~toplevel:true ctx ty;
92 aux ~toplevel:true ctx t;
94 (aux ~toplevel:true (name::ctx) b);
96 if not toplevel then F.fprintf f ")";
97 | C.Match (r,oty,t,pl) ->
98 F.fprintf f "@[<hov>match ";
99 aux ~toplevel:true ctx t;
100 F.fprintf f "@;return ";
101 aux ~toplevel:true ctx oty;
102 F.fprintf f "@; @[<v>[ ";
105 F.fprintf f "@[<hov 2>%s ⇒@;" (r2s inside_fix (R.mk_constructor 1 r));
106 aux ~toplevel:true ctx (List.hd pl);
108 ignore(List.fold_left
110 F.fprintf f "@;| @[<hov 2>%s ⇒@;" (r2s inside_fix (R.mk_constructor i r));
111 aux ~toplevel:true ctx t;
116 F.fprintf f "]@] @]";
118 F.fprintf f "@[<hov 2>";
119 if not toplevel then F.fprintf f "(";
121 List.iter (fun x -> F.fprintf f "@;";aux ctx x) (List.tl l);
122 if not toplevel then F.fprintf f ")";
124 | C.Implicit _ -> F.fprintf f "?"
125 | C.Meta (n,lc) when List.mem_assoc n subst ->
126 let _,_,t,_ = List.assoc n subst in
127 aux ctx (NCicSubstitution.subst_meta lc t)
128 | C.Meta (n,(shift,C.Irl len)) ->
129 F.fprintf f "?%d(%d,%d)" n shift len
130 | C.Meta (n,(shift,C.Ctx l)) ->
131 F.fprintf f "?%d(%d,[" n shift;
132 if List.length l > 0 then
134 aux ctx (NCicSubstitution.lift shift (List.hd l));
135 List.iter (fun x -> F.fprintf f ",";aux ctx x)
136 (List.map (NCicSubstitution.lift shift) (List.tl l));
139 | C.Sort C.Prop -> F.fprintf f "Prop"
140 | C.Sort (C.Type []) -> F.fprintf f "IllFormedUniverse"
141 | C.Sort (C.Type [false, u]) -> F.fprintf f "%s" (NUri.name_of_uri u)
142 | C.Sort (C.Type [true, u]) -> F.fprintf f "S(%s)" (NUri.name_of_uri u)
143 | C.Sort (C.Type l) ->
145 aux ctx (C.Sort (C.Type [List.hd l]));
146 List.iter (fun x -> F.fprintf f ",";aux ctx (C.Sort (C.Type [x])))
150 aux ~toplevel:true (List.map fst context) t;
156 | (u,_,metasenv,subst,NCic.Fixpoint (b, fl, _)) ->
157 "{"^NUri.string_of_uri u^"}\n"^
158 (if b then "let rec " else "let corec ") ^
159 String.concat "\nand "
160 (List.map (fun (_,name,n,ty,bo) ->
161 name^ " on " ^ string_of_int n ^ " : " ^
162 ppterm ~metasenv ~subst ~context:[] ty ^ " :=\n"^
163 ppterm ~metasenv ~subst ~context:[] ~inside_fix:true bo) fl)
164 | (u,_,metasenv,subst,NCic.Inductive (b, leftno,tyl, _)) ->
165 "{"^NUri.string_of_uri u^"} with "^string_of_int leftno^" fixed params\n"^
166 (if b then "inductive " else "coinductive ")^
167 String.concat "\nand "
168 (List.map (fun (_,name,ty,cl) ->
169 name^": "^ppterm ~metasenv ~subst ~context:[] ty^ " :=\n"^
171 (List.map (fun (_,name,ty) ->
172 " | "^name^": "^ppterm ~metasenv ~subst ~context:[] ty)
174 | (u,_,metasenv,subst,NCic.Constant (_,name,None,ty, _)) ->
175 "{"^NUri.string_of_uri u^"}\n"^
176 "axiom " ^ name ^ " : " ^
177 ppterm ~metasenv ~subst ~context:[] ty ^ "\n"
178 | (u,_,metasenv,subst,NCic.Constant (_,name,Some bo,ty, _)) ->
179 "{"^NUri.string_of_uri u^"}\n"^
180 "definition " ^ name ^ " : " ^
181 ppterm ~metasenv ~subst ~context:[] ty ^ " := \n"^
182 ppterm ~metasenv ~subst ~context:[] bo ^ "\n"
185 let rec ppcontext ?(sep="\n") ~subst ~metasenv = function
187 | (name, NCic.Decl t) :: tl ->
188 ppcontext ~sep ~subst ~metasenv tl ^
189 name ^ ": " ^ ppterm ~subst ~metasenv ~context:tl t ^ sep
190 | (name, NCic.Def (bo,ty)) :: tl->
191 ppcontext ~sep ~subst ~metasenv tl ^
192 name ^ ": " ^ ppterm ~subst ~metasenv ~context:tl ty ^
193 " := " ^ ppterm ~subst ~metasenv ~context:tl bo ^ sep
196 let rec ppmetasenv ~subst metasenv = function
198 | (i,(name, ctx, ty)) :: tl ->
199 let name = match name with Some n -> "("^n^")" | _ -> "" in
200 ppcontext ~sep:"; " ~subst ~metasenv ctx ^
201 " ⊢ ?"^string_of_int i^name^" : " ^
202 ppterm ~metasenv ~subst ~context:ctx ty ^ "\n" ^
203 ppmetasenv ~subst metasenv tl
206 let ppmetasenv ~subst metasenv = ppmetasenv ~subst metasenv metasenv;;
208 let rec ppsubst ~subst ~metasenv = function
210 | (i,(name, ctx, t, ty)) :: tl ->
212 let name = match name with Some n -> "("^n^")" | _ -> "" in
213 ppcontext ~sep:"; " ~subst ~metasenv ctx ^
214 " ⊢ ?"^string_of_int i^name^" := " ^
215 ppterm ~metasenv ~subst ~context:ctx t ^ " : " ^
216 ppterm ~metasenv ~subst ~context:ctx ty ^ "\n" ^
217 ppsubst ~subst ~metasenv tl
220 let ppsubst ~metasenv subst = ppsubst ~metasenv ~subst subst;;
222 let _ = NCicSubstitution.set_ppterm ppterm;;