module F = Filename
module L = List
+module P = Printf
module S = String
module U = NUri
module R = NReference
module C = NCic
-module P = NCicPp
module E = NCicEnvironment
+module V = NCicTypeChecker
+module X = Ground
module G = Options
+module K = Kernel
module T = TeX
module O = TeXOutput
+module A = Anticipate
-let status = new P.status
+type status = {
+ n: string; (* reference name *)
+ s: int list; (* scope *)
+}
(* internal functions *******************************************************)
-let rec segments_of_string ss l s =
- match try Some (S.index s '/') with Not_found -> None with
- | None -> s :: ss
- | Some i -> segments_of_string (S.sub s 0 i :: ss) (l-i-1) (S.sub s (i+1) (l-i-1))
-
-let segments_of_uri u =
- let s = U.string_of_uri u in
- let s = F.chop_extension s in
- let l = S.length s in
- let i = S.index s ':' in
- let s = S.sub s (i+2) (l-i-2) in
- segments_of_string [] (l-i-2) s
-
-let rec mk_string sep r = function
- | [] -> r
- | s :: ss -> mk_string sep (s ^ sep ^ r) ss
-
let alpha c s = s
+let internal s =
+ X.error ("engine: malformed stack: " ^ s)
+
let malformed s =
- failwith ("MaTeX: malformed term: " ^ s)
+ X.error ("engine: malformed term: " ^ s)
-let not_supported () =
- failwith "MaTeX: object not supported"
+(* generic term processing *)
let proc_sort = function
- | C.Prop -> [T.Macro "Prop"]
- | C.Type [`Type, u] -> [T.Macro "Type"; T.arg (U.string_of_uri u)]
- | C.Type [`CProp, u] -> [T.Macro "Crop"; T.arg (U.string_of_uri u)]
- | C.Type _ -> malformed "1"
-
-let proc_gref r = T.Macro "GRef"
+ | C.Prop -> [T.Macro "PROP"]
+ | C.Type [`Type, u] -> [T.Macro "TYPE"; T.arg (U.string_of_uri u)]
+ | C.Type [`CProp, u] -> [T.Macro "CROP"; T.arg (U.string_of_uri u)]
+ | C.Type _ -> malformed "T1"
let rec proc_term c = function
| C.Appl []
| C.Meta _
- | C.Implicit _ -> malformed "2"
- | C.Rel m ->
- let name = L.nth c (m-1) in
- [T.Macro "LRef"; T.arg name]
- | C.Appl ts ->
+ | C.Implicit _ -> malformed "T2"
+ | C.Rel m ->
+ let name = K.resolve_lref c m in
+ [T.Macro "LREF"; T.arg name; T.free name]
+ | C.Appl ts ->
let riss = L.rev_map (proc_term c) ts in
- T.Macro "Appl" :: T.mk_rev_args riss
- | C.Prod (s, w, t) ->
+ T.Macro "APPL" :: T.mk_rev_args riss
+ | C.Prod (s, w, t) ->
let s = alpha c s in
let is_w = proc_term c w in
- let is_t = proc_term (s::c) t in
- T.Macro "Prod" :: T.arg s :: T.Group is_w :: is_t
- | C.Lambda (s, w, t) ->
+ let is_t = proc_term (K.add_dec s w c) t in
+ T.Macro "PROD" :: T.arg s :: T.Group is_w :: is_t
+ | C.Lambda (s, w, t) ->
let s = alpha c s in
let is_w = proc_term c w in
- let is_t = proc_term (s::c) t in
- T.Macro "Abst" :: T.arg s :: T.Group is_w :: is_t
- | C.LetIn (s, w, v, t) ->
+ let is_t = proc_term (K.add_dec s w c) t in
+ T.Macro "ABST" :: T.arg s :: T.Group is_w :: is_t
+ | C.LetIn (s, w, v, t) ->
let s = alpha c s in
let is_w = proc_term c w in
let is_v = proc_term c v in
- let is_t = proc_term (s::c) t in
- T.Macro "Abbr" :: T.arg s :: T.Group is_w :: T.Group is_v :: is_t
- | C.Sort s ->
+ let is_t = proc_term (K.add_def s w v c) t in
+ T.Macro "ABBR" :: T.arg s :: T.Group is_w :: T.Group is_v :: is_t
+ | C.Sort s ->
proc_sort s
- | C.Const r ->
- [proc_gref r]
- | C.Match (w, u, v, ts) ->
- let is_w = [proc_gref w] in
+ | C.Const (R.Ref (u, r)) ->
+ let ss = K.segments_of_uri u in
+ let _, _, _, _, obj = E.get_checked_obj G.status u in
+ let ss, name = K.name_of_reference ss (obj, r) in
+ [T.Macro "GREF"; T.arg name; T.free (X.rev_map_concat X.id "." "type" ss)]
+ | C.Match (w, u, v, ts) ->
+ let is_w = proc_term c (C.Const w) in
let is_u = proc_term c u in
let is_v = proc_term c v in
let riss = L.rev_map (proc_term c) ts in
- T.Macro "Case" :: T.Group is_w :: T.Group is_u :: T.Group is_v :: T.mk_rev_args riss
+ T.Macro "CASE" :: T.Group is_w :: T.Group is_u :: T.Group is_v :: T.mk_rev_args riss
let proc_term c t = try proc_term c t with
| E.ObjectNotFound _
+ | Invalid_argument "List.nth"
| Failure "nth"
- | Invalid_argument "List.nth" -> malformed "3"
+ | Failure "name_of_reference" -> malformed "T3"
+
+(* proof processing *)
+
+let typeof c = function
+ | C.Appl [t]
+ | t -> A.typeof c t
+
+let init () = {
+ n = ""; s = [1]
+}
+
+let push st n = {
+ n = n; s = 1 :: st.s;
+}
+
+let next st = {
+ n = ""; s = match st.s with [] -> failwith "hd" | i :: tl -> succ i :: tl
+}
+
+let scope st =
+ X.rev_map_concat string_of_int "." "" (L.tl st.s)
+
+let mk_exit st ris =
+ if st.n <> "" || L.tl st.s = [] then ris else
+ T.free (scope st) :: T.Macro "EXIT" :: ris
+
+let mk_open st ris =
+ if st.n = "" then ris else
+ T.free (scope st) :: T.free st.n :: T.arg st.n :: T.Macro "OPEN" :: ris
+
+let mk_dec kind w s ris =
+ let w = if !G.no_types then [] else w in
+ T.Group w :: T.free s :: T.arg s :: T.Macro kind :: ris
+
+let mk_inferred st c t ris =
+ let u = typeof c t in
+ let is_u = proc_term c u in
+ mk_dec "DECL" is_u st.n ris
+
+let rec proc_proof st ris c t = match t with
+ | C.Appl []
+ | C.Meta _
+ | C.Implicit _
+ | C.Sort _
+ | C.Prod _ -> malformed "P1"
+ | C.Const _
+ | C.Rel _ -> proc_proof st ris c (C.Appl [t])
+ | C.Lambda (s, w, t) ->
+ let s = alpha c s in
+ let is_w = proc_term c w in
+ let ris = mk_open st ris in
+ proc_proof (next st) (mk_dec "PRIM" is_w s ris) (K.add_dec s w c) t
+ | C.Appl ts ->
+ let rts = X.rev_neg_filter (A.not_prop2 c) [] ts in
+ let ris = T.Macro "STEP" :: mk_inferred st c t ris in
+ let tts = L.rev_map (proc_term c) rts in
+ mk_exit st (T.rev_mk_args tts ris)
+ | C.Match (w, u, v, ts) ->
+ let rts = X.rev_neg_filter (A.not_prop2 c) [v] ts in
+ let ris = T.Macro "DEST" :: mk_inferred st c t ris in
+ let tts = L.rev_map (proc_term c) rts in
+ mk_exit st (T.rev_mk_args tts ris)
+ | C.LetIn (s, w, v, t) ->
+ let s = alpha c s in
+ let is_w = proc_term c w in
+ let ris = mk_open st ris in
+ if A.not_prop1 c w then
+ let is_v = proc_term c v in
+ let ris = T.Group is_v :: T.Macro "BODY" :: mk_dec "DECL" is_w s ris in
+ proc_proof (next st) ris (K.add_def s w v c) t
+ else
+ let ris_v = proc_proof (push st s) ris c v in
+ proc_proof (next st) ris_v (K.add_def s w v c) t
+
+let proc_proof rs c t = try proc_proof (init ()) rs c t with
+ | E.ObjectNotFound _
+ | Invalid_argument "List.nth"
+ | Failure "nth"
+ | Failure "name_of_reference" -> malformed "P2"
+ | V.TypeCheckerFailure s
+ | V.AssertFailure s -> malformed (Lazy.force s)
+ | Failure "hd"
+ | Failure "tl" -> internal "P2"
+
+(* top level processing *)
+
+let proc_top_type s t =
+ [T.Macro "Object"; T.arg s; T.free s; T.Group (proc_term [] t)]
+
+let proc_top_body s t = proc_term [] t
+
+let proc_top_proof s t =
+ let tt = A.process_top_term s t in (* anticipation *)
+ L.rev (T.arg "proof" :: T.Macro "end" :: proc_proof [T.arg "proof"; T.Macro "begin"] [] tt)
let open_out_tex s =
open_out (F.concat !G.out_dir (s ^ T.file_ext))
-let proc_obj u =
- let ss = segments_of_uri u in
- let _, _, _, _, obj = E.get_checked_obj status u in
- match obj with
- | C.Constant (_, _, None, u, _) -> not_supported ()
- | C.Constant (_, _, Some t, u, _) ->
- let name = mk_string "." "body" ss in
+let proc_pair s ss u xt =
+ let name = X.rev_map_concat X.id "." "type" ss in
+ let och = open_out_tex name in
+ O.out_text och (proc_top_type s u);
+ close_out och;
+ match xt with
+ | None -> ()
+ | Some t ->
+ let name = X.rev_map_concat X.id "." "body" ss in
let och = open_out_tex name in
- O.out_text och (proc_term [] t);
- O.out_text och T.newline;
- close_out och;
- let name = mk_string "." "type" ss in
- let och = open_out_tex name in
- O.out_text och (proc_term [] u);
- O.out_text och T.newline;
+ let text = if A.not_prop1 [] u then proc_top_body else proc_top_proof in
+ O.out_text och (text s t);
close_out och
- | C.Fixpoint (_, _, _) -> not_supported ()
- | C.Inductive (_, _, _, _) -> not_supported ()
+
+let proc_fun ss (r, s, i, u, t) =
+ proc_pair s (s :: ss) u (Some t)
+
+let proc_constructor ss (r, s, u) =
+ proc_pair s (s :: ss) u None
+
+let proc_type ss (r, s, u, cs) =
+ proc_pair s (s :: ss) u None;
+ L.iter (proc_constructor ss) cs
+
+let proc_obj u =
+ let ss = K.segments_of_uri u in
+ let _, _, _, _, obj = E.get_checked_obj G.status u in
+ match obj with
+ | C.Constant (_, s, xt, u, _) -> proc_pair s ss u xt
+ | C.Fixpoint (_, fs, _) -> L.iter (proc_fun ss) fs
+ | C.Inductive (_, _, ts, _) -> L.iter (proc_type ss) ts
(* interface functions ******************************************************)