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_______________________________________________________________ *)
20 module E = NCicEnvironment
21 module V = NCicTypeChecker
32 i: string; (* item name *)
33 n: string; (* reference name *)
34 s: int list; (* scope *)
35 c: C.context (* context for kernel calls *)
38 (* internal functions *******************************************************)
41 X.error ("engine: malformed stack: " ^ s)
44 X.error ("engine: malformed term: " ^ s)
47 X.log ("engine: missing macro for " ^ s)
49 (* generic term processing *)
51 let rec rename s = function
53 | (s1, s2) :: _ when s1 = s -> s2
54 | _ :: tl -> rename s tl
59 rename s !G.alpha_gref
62 if G.is_global_id name then P.sprintf "%s.%s" st.i name else ""
65 let rec aux = function
67 | (r, m, a, x) :: _ when r = s && a = l -> m, x
72 let get_head = function
74 let s, _ = K.resolve_reference c in
75 let macro, x = get_macro s (L.length ts) in
77 let ts1, ts2 = X.split_at x ts in
78 Some (macro, s, ts1, ts2)
80 if !G.log_missing then missing s;
85 let proc_sort st is = function
86 | C.Prop -> T.Macro "PROP" :: is
87 | C.Type [`Type, u] -> T.Macro "TYPE" :: T.arg (U.string_of_uri u) :: is
88 | C.Type [`CProp, u] -> T.Macro "CROP" :: T.arg (U.string_of_uri u) :: is
89 | C.Type _ -> malformed "T1"
91 let rec proc_term st is = function
94 | C.Implicit _ -> malformed "T2"
96 let s = K.resolve_lref st.c m in
97 T.Macro "LREF" :: T.arg (mk_lname s) :: T.free (mk_ptr st s) :: is
99 begin match get_head ts with
101 let riss = L.rev_map (proc_term st []) ts in
102 T.Macro "APPL" :: T.mk_rev_args riss is
103 | Some (macro, s, [], ts)
104 | Some (macro, s, ts, []) ->
105 let riss = L.rev_map (proc_term st []) ts in
106 T.Macro macro :: T.free s :: T.mk_rev_args riss is
107 | Some (macro, s, ts1, ts2) ->
108 let riss1 = L.rev_map (proc_term st []) ts1 in
109 let riss2 = L.rev_map (proc_term st []) ts2 in
110 T.Macro macro :: T.free s :: T.mk_rev_args riss1 (T.mk_rev_args riss2 is)
112 | C.Prod (s, w, t) ->
113 let is_w = proc_term st [] w in
114 let c = K.add_dec s w st.c in
115 let is_t = proc_term {st with c=c} is t in
116 let macro = if K.not_prop1 c t then "PROD" else "FALL" in
117 T.Macro macro :: T.arg (mk_lname s) :: T.free (mk_ptr st s) :: T.Group is_w :: is_t
118 | C.Lambda (s, w, t) ->
119 let is_w = proc_term st [] w in
120 let is_t = proc_term {st with c=K.add_dec s w st.c} is t in
121 T.Macro "ABST" :: T.arg (mk_lname s) :: T.free (mk_ptr st s) :: T.Group is_w :: is_t
122 | C.LetIn (s, w, v, t) ->
123 let is_w = proc_term st [] w in
124 let is_v = proc_term st [] v in
125 let is_t = proc_term {st with c=K.add_def s w v st.c} is t in
126 T.Macro "ABBR" :: T.arg (mk_lname s) :: T.free (mk_ptr st s) :: T.Group is_w :: T.Group is_v :: is_t
130 let s, name = K.resolve_reference c in
131 T.Macro "GREF" :: T.arg (mk_gname name) :: T.free s :: is
132 | C.Match (w, u, v, ts) ->
133 let is_w = proc_term st [] (C.Const w) in
134 let is_u = proc_term st [] u in
135 let is_v = proc_term st [] v in
136 let riss = X.rev_mapi (proc_case st [] w) K.fst_con ts in
137 let macro = if ts = [] then "CAZE" else "CASE" in
138 T.Macro macro :: T.Group is_w :: T.Group is_u :: T.Group is_v :: T.mk_rev_args riss is
140 and proc_case st is w i t =
141 let v = R.mk_constructor i w in
142 let is_v = proc_term st [] (C.Const v) in
143 let is_t = proc_term st [] t in
144 T.Macro "PAIR" :: T.Group is_v :: T.Group is_t :: is
146 let proc_term st is t = try proc_term st is t with
148 | Invalid_argument "List.nth"
150 | Failure "name_of_reference" -> malformed "T3"
152 (* proof processing *)
154 let typeof st = function
156 | t -> K.whd_typeof st.c t
160 n = ""; s = [1]; c = [];
163 let push st n = {st with
164 n = n; s = 1 :: st.s;
167 let next st f = {st with
169 n = ""; s = match st.s with [] -> failwith "hd" | i :: tl -> succ i :: tl
173 X.rev_map_concat string_of_int "." "" (L.tl st.s)
176 if st.n <> "" || L.tl st.s = [] then ris else
177 T.free (scope st) :: T.Macro "EXIT" :: ris
180 if st.n = "" then ris else
181 T.free (scope st) :: T.free (mk_ptr st st.n) :: T.arg (mk_lname st.n) :: T.Macro "OPEN" :: ris
183 let mk_dec st kind w s ris =
184 let w = if !G.no_types then [] else w in
185 T.Group w :: T.free (mk_ptr st s) :: T.arg (mk_lname s) :: T.Macro kind :: ris
187 let mk_inferred st t ris =
188 let u = typeof st t in
189 let is_u = proc_term st [] u in
190 mk_dec st "DECL" is_u st.n ris
192 let rec proc_proof st ris t = match t with
197 | C.Prod _ -> malformed "P1"
199 | C.Rel _ -> proc_proof st ris (C.Appl [t])
200 | C.Lambda (s, w, t) ->
201 let is_w = proc_term st [] w in
202 let ris = mk_open st ris in
203 proc_proof (next st (K.add_dec s w)) (mk_dec st "PRIM" is_w s ris) t
204 | C.Appl (t0 :: ts) ->
205 let rts = X.rev_neg_filter (K.not_prop2 st.c) [t0] ts in
206 let ris = T.Macro "STEP" :: mk_inferred st t ris in
207 let tts = L.rev_map (proc_term st []) rts in
208 mk_exit st (T.rev_mk_args tts ris)
209 | C.Match (w, u, v, ts) ->
210 let rts = X.rev_neg_filter (K.not_prop2 st.c) [v] ts in
211 let ris = T.Macro "DEST" :: mk_inferred st t ris in
212 let tts = L.rev_map (proc_term st []) rts in
213 mk_exit st (T.rev_mk_args tts ris)
214 | C.LetIn (s, w, v, t) ->
215 let is_w = proc_term st [] w in
216 let ris = mk_open st ris in
217 if K.not_prop1 st.c w then
218 let is_v = proc_term st [] v in
219 let ris = T.Group is_v :: T.Macro "BODY" :: mk_dec st "DECL" is_w s ris in
220 proc_proof (next st (K.add_def s w v)) ris t
222 let ris_v = proc_proof (push st s) ris v in
223 proc_proof (next st (K.add_def s w v)) ris_v t
225 let proc_proof st rs t = try proc_proof st rs t with
227 | Invalid_argument "List.nth"
229 | Failure "name_of_reference" -> malformed "P2"
230 | V.TypeCheckerFailure s
231 | V.AssertFailure s -> malformed (Lazy.force s)
233 | Failure "tl" -> internal "P2"
235 (* top level processing *)
237 let note = T.Note "This file was automatically generated by MaTeX: do not edit"
239 let proc_item item s ss t =
241 let tt = N.process_top_term s t in (* alpha-conversion *)
242 let is = [T.Macro "end"; T.arg item] in
243 note :: T.Macro "begin" :: T.arg item :: T.arg (mk_gname s) :: T.free ss :: proc_term st is tt
245 let proc_top_proof s ss t =
247 let t0 = A.process_top_term s t in (* anticipation *)
248 let tt = N.process_top_term s t0 in (* alpha-conversion *)
249 let ris = [T.free ss; T.arg (mk_gname s); T.arg "proof"; T.Macro "begin"; note] in
250 L.rev (T.arg "proof" :: T.Macro "end" :: proc_proof st ris tt)
253 let fname = s ^ T.file_ext in
254 begin match !G.list_och with
256 | Some och -> P.fprintf och "%s\n" fname
258 open_out (F.concat !G.out_dir fname)
260 let proc_pair s ss u = function
262 let name = X.rev_map_concat X.id "." "type" ss in
263 let och = open_out_tex name in
264 O.out_text och (proc_item "axiom" s name u);
268 if K.not_prop1 [] u then proc_item "declaration", proc_item "definition"
269 else proc_item "proposition", proc_top_proof
271 let name = X.rev_map_concat X.id "." "type" ss in
272 let och = open_out_tex name in
273 O.out_text och (text_u s name u);
275 let name = X.rev_map_concat X.id "." "body" ss in
276 let och = open_out_tex name in
277 O.out_text och (text_t s name t);
280 let proc_fun ss (r, s, i, u, t) =
281 proc_pair s (s :: ss) u (Some t)
283 let proc_constructor ss (r, s, u) =
284 proc_pair s (s :: ss) u None
286 let proc_type ss (r, s, u, cs) =
287 proc_pair s (s :: ss) u None;
288 L.iter (proc_constructor ss) cs
291 let ss = K.segments_of_uri u in
292 let _, _, _, _, obj = E.get_checked_obj G.status u in
294 | C.Constant (_, s, xt, u, _) -> proc_pair s ss u xt
295 | C.Fixpoint (_, fs, _) -> L.iter (proc_fun ss) fs
296 | C.Inductive (_, _, ts, _) -> L.iter (proc_type ss) ts
298 (* interface functions ******************************************************)
300 let process = proc_obj