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+(************************************************************************)
+(*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
+(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
+(*   \VV/  **************************************************************)
+(*    //   *      This file is distributed under the terms of the       *)
+(*         *       GNU Lesser General Public License Version 2.1        *)
+(************************************************************************)
+
+(* $Id:$ *)
+
+open Util
+open Names
+open Topconstr
+open Tacinterp
+open Tacmach
+open Decl_expr
+open Decl_mode
+open Pretyping.Default
+open Rawterm
+open Term
+open Pp
+
+let raw_app (loc,hd,args) = if args =[] then hd else RApp(loc,hd,args) 
+
+let intern_justification globs = function
+    Automated l -> Automated (List.map (intern_constr globs) l)
+  | By_tactic tac -> By_tactic (intern_tactic globs tac) 
+
+let intern_statement intern_it globs st =
+  {st_label=st.st_label;
+   st_it=intern_it globs st.st_it}
+    
+let intern_constr_or_thesis globs = function
+    Thesis n -> Thesis n
+  | This c -> This (intern_constr globs c)
+
+let add_var id globs= 
+  let l1,l2=globs.ltacvars in
+    {globs with ltacvars= (id::l1),(id::l2)}
+
+let add_name nam globs=
+ match nam with 
+     Anonymous -> globs
+   | Name id -> add_var id globs
+
+let intern_hyp iconstr globs = function 
+    Hvar (loc,(id,topt)) -> add_var id globs,
+      Hvar (loc,(id,option_map (intern_constr globs) topt))
+  | Hprop st -> add_name st.st_label globs,
+      Hprop (intern_statement iconstr globs st)
+
+let intern_hyps iconstr globs hyps = 
+  snd (list_fold_map (intern_hyp iconstr) globs hyps)
+
+let intern_cut intern_it globs cut=
+ {cut_stat=intern_statement intern_it globs cut.cut_stat;
+  cut_by=intern_justification globs cut.cut_by}
+
+let intern_casee globs = function 
+    Real c -> Real (intern_constr globs c)
+  | Virtual cut -> Virtual (intern_cut intern_constr globs cut) 
+
+let intern_hyp_list args globs =
+  let intern_one globs (loc,(id,opttyp)) =
+    (add_var id globs),
+    (loc,(id,option_map (intern_constr globs) opttyp)) in
+  list_fold_map intern_one globs args 
+
+let intern_fundecl args body globs= 
+  let nglobs,nargs = intern_hyp_list args globs in
+    nargs,intern_constr nglobs body
+          
+let rec add_vars_of_simple_pattern globs = function
+    CPatAlias (loc,p,id) ->
+      add_vars_of_simple_pattern (add_var id globs) p
+(*      Stdpp.raise_with_loc loc 
+	(UserError ("simple_pattern",str "\"as\" is not allowed here"))*)
+  | CPatOr (loc, _)->
+      Stdpp.raise_with_loc loc 
+	(UserError ("simple_pattern",str "\"(_ | _)\" is not allowed here"))
+  | CPatDelimiters (_,_,p) ->
+      add_vars_of_simple_pattern globs p
+  | CPatCstr (_,_,pl) | CPatNotation(_,_,pl) ->
+      List.fold_left add_vars_of_simple_pattern globs pl
+  | CPatAtom (_,Some (Libnames.Ident (_,id))) -> add_var id globs
+  |  _  -> globs 
+
+let rec intern_bare_proof_instr globs = function
+    Pthus i -> Pthus (intern_bare_proof_instr globs i)
+  | Pthen i -> Pthen (intern_bare_proof_instr globs i)
+  | Phence i -> Phence (intern_bare_proof_instr globs i)
+  | Pcut c -> Pcut (intern_cut intern_constr_or_thesis globs c) 
+  | Prew (s,c) -> Prew (s,intern_cut intern_constr globs c) 
+  | Psuppose hyps -> Psuppose (intern_hyps intern_constr globs hyps)
+  | Pcase (params,pat,hyps) -> 
+      let nglobs,nparams = intern_hyp_list params globs in
+      let nnglobs= add_vars_of_simple_pattern nglobs pat in
+      let nhyps = intern_hyps intern_constr_or_thesis nnglobs hyps in
+	Pcase (nparams,pat,nhyps) 
+  | Ptake witl -> Ptake (List.map (intern_constr globs) witl)
+  | Pconsider (c,hyps) -> Pconsider (intern_constr globs c,
+				      intern_hyps intern_constr globs hyps)
+  | Pper (et,c) -> Pper (et,intern_casee globs c)
+  | Pend bt -> Pend bt
+  | Pescape -> Pescape
+  | Passume hyps -> Passume (intern_hyps intern_constr globs hyps)
+  | Pgiven hyps -> Pgiven (intern_hyps intern_constr globs hyps)
+  | Plet hyps -> Plet (intern_hyps intern_constr globs hyps)
+  | Pclaim st -> Pclaim (intern_statement intern_constr globs st)
+  | Pfocus st -> Pfocus (intern_statement intern_constr globs st)
+  | Pdefine (id,args,body) -> 
+      let nargs,nbody = intern_fundecl args body globs in
+	Pdefine (id,nargs,nbody)
+  | Pcast (id,typ) ->
+      Pcast (id,intern_constr globs typ)
+
+let rec intern_proof_instr globs instr=
+  {emph = instr.emph;
+   instr = intern_bare_proof_instr globs instr.instr}
+
+let interp_justification env sigma  = function
+    Automated l -> 
+      Automated (List.map (fun c ->understand env sigma (fst c)) l)
+  | By_tactic tac -> By_tactic tac 
+
+let interp_constr check_sort env sigma c = 
+  if check_sort then 
+    understand_type env sigma (fst c) 
+  else 
+    understand env sigma (fst c)
+
+let special_whd env =
+  let infos=Closure.create_clos_infos Closure.betadeltaiota env in
+    (fun t -> Closure.whd_val infos (Closure.inject t))
+
+let _eq = Libnames.constr_of_reference (Coqlib.glob_eq)
+
+let decompose_eq env id =
+  let typ = Environ.named_type id env in
+  let whd = special_whd env typ in
+    match kind_of_term whd with
+	App (f,args)->
+	  if eq_constr f _eq && (Array.length args)=3 
+	  then args.(0)
+	  else error "previous step is not an equality"
+      | _ -> error "previous step is not an equality"
+
+let get_eq_typ info env =
+  let last_id = 	    
+    match info.pm_last with
+	Anonymous -> error "no previous equality"
+      | Name id -> id in
+  let typ = decompose_eq env last_id in  
+    typ
+
+let interp_constr_in_type typ env sigma c =
+  understand env sigma (fst c) ~expected_type:typ
+
+let interp_statement interp_it env sigma st =
+  {st_label=st.st_label;
+   st_it=interp_it env sigma st.st_it}
+	
+let interp_constr_or_thesis check_sort env sigma = function
+    Thesis n -> Thesis n
+  | This c -> This (interp_constr check_sort env sigma c)
+
+let type_tester_var body typ = 
+  raw_app(dummy_loc,
+       RLambda(dummy_loc,Anonymous,typ,
+	       RSort (dummy_loc,RProp Null)),body)
+
+let abstract_one_hyp inject h raw = 
+  match h with 
+      Hvar (loc,(id,None)) ->  
+	RProd (dummy_loc,Name id, RHole (loc,Evd.BinderType (Name id)), raw)
+    | Hvar (loc,(id,Some typ)) ->  
+	RProd (dummy_loc,Name id,fst typ, raw)
+    | Hprop st -> 
+	RProd (dummy_loc,st.st_label,inject st.st_it, raw)
+
+let rawconstr_of_hyps inject hyps = 
+  List.fold_right (abstract_one_hyp inject) hyps (RSort (dummy_loc,RProp Null))
+  
+let rec match_hyps blend names constr = function 
+    [] -> []
+  | hyp::q -> 
+      let (name,typ,body)=destProd constr in
+      let st= {st_label=name;st_it=substl names typ} in
+      let qnames=
+	match name with
+	    Anonymous -> mkMeta 0 :: names
+	  | Name id -> mkVar id :: names in
+      let qhyp = match hyp with
+	  Hprop st' -> Hprop (blend st st')
+	| Hvar _ -> Hvar st in
+	qhyp::(match_hyps blend qnames body q)
+
+let interp_hyps_gen inject blend env sigma hyps = 
+  let constr=understand env sigma (rawconstr_of_hyps inject hyps) in
+    match_hyps blend [] constr hyps
+
+let interp_hyps = interp_hyps_gen fst (fun x _ -> x)
+
+let dummy_prefix= id_of_string "__"
+
+let rec deanonymize ids = 
+  function 
+      PatVar (loc,Anonymous) -> 
+	let (found,known) = !ids in
+	let new_id=Nameops.next_ident_away dummy_prefix known in
+	let _= ids:= (loc,new_id) :: found , new_id :: known in
+	  PatVar (loc,Name new_id)
+    | PatVar (loc,Name id) as pat -> 
+	let (found,known) = !ids in
+	let _= ids:= (loc,id) :: found , known in
+	  pat
+    | PatCstr(loc,cstr,lpat,nam) -> 
+	PatCstr(loc,cstr,List.map (deanonymize ids) lpat,nam)
+
+let rec raw_of_pat =
+  function 
+      PatVar (loc,Anonymous) -> anomaly "Anonymous pattern variable" 
+    | PatVar (loc,Name id) -> 
+	  RVar (loc,id)
+    | PatCstr(loc,((ind,_) as cstr),lpat,_) -> 
+	let mind= fst (Global.lookup_inductive ind) in
+	let rec add_params n q =
+	  if n<=0 then q else
+	    add_params (pred n) (RHole(dummy_loc,
+				       Evd.TomatchTypeParameter(ind,n))::q) in
+	    let args = List.map raw_of_pat lpat in 
+	      raw_app(loc,RRef(dummy_loc,Libnames.ConstructRef cstr),
+		   add_params mind.Declarations.mind_nparams args) 
+			 
+let prod_one_hyp = function
+    (loc,(id,None)) ->
+      (fun raw ->  
+	 RProd (dummy_loc,Name id, 
+		RHole (loc,Evd.BinderType (Name id)), raw))
+  | (loc,(id,Some typ)) -> 
+      (fun raw ->  
+	 RProd (dummy_loc,Name id,fst typ, raw))
+
+let prod_one_id (loc,id) raw =
+  RProd (dummy_loc,Name id,
+	 RHole (loc,Evd.BinderType (Name id)), raw)
+
+let let_in_one_alias (id,pat) raw =
+  RLetIn (dummy_loc,Name id,raw_of_pat pat, raw)
+
+let rec bind_primary_aliases map pat =
+  match pat with 
+      PatVar (_,_) -> map
+    | PatCstr(loc,_,lpat,nam) ->
+	let map1 =
+	  match nam with 
+	      Anonymous -> map
+	    | Name id -> (id,pat)::map 
+	in
+	  List.fold_left bind_primary_aliases map1 lpat
+
+let bind_secondary_aliases map subst =
+  List.fold_left (fun map (ids,idp) -> (ids,List.assoc idp map)::map) map subst
+
+let bind_aliases patvars subst patt =
+  let map = bind_primary_aliases [] patt in
+  let map1 = bind_secondary_aliases map subst in
+  List.rev map1
+
+let interp_pattern env pat_expr = 
+  let patvars,pats = Constrintern.intern_pattern env pat_expr in
+    match pats with 
+	[] -> anomaly "empty pattern list"
+      | [subst,patt] ->
+	  (patvars,bind_aliases patvars subst patt,patt)
+      | _  -> anomaly "undetected disjunctive pattern"
+
+let rec match_args dest names constr = function 
+    [] -> [],names,substl names constr
+  | _::q -> 
+      let (name,typ,body)=dest constr in
+      let st={st_label=name;st_it=substl names typ} in
+      let qnames=
+	match name with
+	    Anonymous -> assert  false
+	  | Name id -> mkVar id :: names in
+      let args,bnames,body = match_args dest qnames body q in
+	st::args,bnames,body
+
+let rec match_aliases names constr = function 
+    [] -> [],names,substl names constr
+  | _::q -> 
+      let (name,c,typ,body)=destLetIn constr in
+      let st={st_label=name;st_it=(substl names c,substl names typ)} in
+      let qnames=
+	match name with
+	    Anonymous -> assert false
+	  | Name id -> mkVar id :: names in
+      let args,bnames,body = match_aliases qnames body q in
+	st::args,bnames,body
+
+let detype_ground c = Detyping.detype false [] [] c
+
+let interp_cases info env sigma params (pat:cases_pattern_expr) hyps =
+  let et,pinfo =
+    match info.pm_stack with
+	Per(et,pi,_,_)::_ -> et,pi
+      | _ -> error "No proof per cases/induction/inversion in progress." in
+  let mib,oib=Global.lookup_inductive  pinfo.per_ind in
+  let num_params = pinfo.per_nparams in
+  let _ = 
+    let expected = mib.Declarations.mind_nparams - num_params in
+      if List.length params <> expected then
+	errorlabstrm "suppose it is" 
+	  (str "Wrong number of extra arguments : " ++ 
+	     (if expected = 0 then str "none" else int expected) ++ 
+	     str "expected") in
+  let app_ind =
+    let rind = RRef (dummy_loc,Libnames.IndRef pinfo.per_ind) in
+    let rparams = List.map detype_ground pinfo.per_params in 
+    let rparams_rec = 
+      List.map 
+	(fun (loc,(id,_)) -> 
+	   RVar (loc,id)) params in 
+    let dum_args= 
+      list_tabulate (fun _ -> RHole (dummy_loc,Evd.QuestionMark))
+	oib.Declarations.mind_nrealargs in
+      raw_app(dummy_loc,rind,rparams@rparams_rec@dum_args) in
+  let pat_vars,aliases,patt = interp_pattern env pat in
+  let inject = function
+      Thesis (Plain) -> Rawterm.RSort(dummy_loc,RProp Null)
+    | Thesis (Sub n) ->
+	error "thesis[_] is not allowed here"
+    | Thesis (For rec_occ) ->
+	if not (List.mem rec_occ pat_vars) then 
+	  errorlabstrm "suppose it is" 
+	    (str "Variable " ++ Nameops.pr_id rec_occ ++ 
+	       str " does not occur in pattern.");
+	Rawterm.RSort(dummy_loc,RProp Null)
+    | This (c,_) -> c in
+  let term1 = rawconstr_of_hyps inject hyps in
+  let loc_ids,npatt =
+    let rids=ref ([],pat_vars) in
+    let npatt= deanonymize rids patt in 
+      List.rev (fst !rids),npatt in
+  let term2 =
+    RLetIn(dummy_loc,Anonymous,
+	   RCast(dummy_loc,raw_of_pat npatt,
+		 CastConv DEFAULTcast,app_ind),term1) in
+  let term3=List.fold_right let_in_one_alias aliases term2 in  
+  let term4=List.fold_right prod_one_id loc_ids term3 in
+  let term5=List.fold_right prod_one_hyp params term4 in
+  let constr = understand  sigma env term5 in
+  let tparams,nam4,rest4 = match_args destProd [] constr params in
+  let tpatvars,nam3,rest3 = match_args destProd nam4 rest4 loc_ids in
+  let taliases,nam2,rest2 = match_aliases nam3 rest3 aliases in
+  let (_,pat_pat,pat_typ,rest1) = destLetIn rest2 in
+  let blend  st st' =
+    match st'.st_it with 
+	Thesis nam -> {st_it=Thesis nam;st_label=st'.st_label} 
+      | This _ -> {st_it = This st.st_it;st_label=st.st_label} in
+  let thyps = match_hyps blend nam2 (Termops.pop rest1) hyps in
+    tparams,{pat_vars=tpatvars;
+	     pat_aliases=taliases;
+	     pat_constr=pat_pat;
+	     pat_typ=pat_typ;
+	     pat_pat=patt;
+	     pat_expr=pat},thyps
+
+let interp_cut interp_it env sigma cut=
+ {cut_stat=interp_statement interp_it env sigma cut.cut_stat;
+  cut_by=interp_justification env sigma cut.cut_by}
+
+let interp_casee env sigma = function 
+    Real c -> Real (understand env sigma (fst c))
+  | Virtual cut -> Virtual (interp_cut (interp_constr true) env sigma cut) 
+
+let abstract_one_arg = function
+    (loc,(id,None)) ->
+      (fun raw ->  
+	 RLambda (dummy_loc,Name id, 
+		RHole (loc,Evd.BinderType (Name id)), raw))
+  | (loc,(id,Some typ)) -> 
+      (fun raw ->  
+	 RLambda (dummy_loc,Name id,fst typ, raw))
+
+let rawconstr_of_fun args body = 
+  List.fold_right abstract_one_arg args (fst body)
+
+let interp_fun env sigma args body = 
+  let constr=understand env sigma (rawconstr_of_fun args body) in
+    match_args destLambda [] constr args
+
+let rec interp_bare_proof_instr info sigma env = function
+    Pthus i -> Pthus (interp_bare_proof_instr info sigma env i)
+  | Pthen i -> Pthen (interp_bare_proof_instr info sigma env i)
+  | Phence i -> Phence (interp_bare_proof_instr info sigma env i)
+  | Pcut c -> Pcut (interp_cut (interp_constr_or_thesis true) sigma env c) 
+  | Prew (s,c) -> Prew (s,interp_cut 
+			  (interp_constr_in_type (get_eq_typ info env))
+			  sigma env c) 
+  | Psuppose hyps -> Psuppose (interp_hyps sigma env hyps)
+  | Pcase (params,pat,hyps) -> 
+      let tparams,tpat,thyps = interp_cases info env sigma params pat hyps in 
+	Pcase (tparams,tpat,thyps)
+  | Ptake witl -> 
+      Ptake (List.map (fun c -> understand sigma env (fst c)) witl)
+  | Pconsider (c,hyps) -> Pconsider (interp_constr false sigma env c,
+				     interp_hyps sigma env hyps)
+  | Pper (et,c) -> Pper (et,interp_casee sigma env c)
+  | Pend bt -> Pend bt
+  | Pescape -> Pescape
+  | Passume hyps -> Passume (interp_hyps sigma env hyps)
+  | Pgiven hyps -> Pgiven (interp_hyps sigma env hyps)
+  | Plet hyps -> Plet (interp_hyps sigma env hyps)
+  | Pclaim st -> Pclaim (interp_statement (interp_constr true) sigma env st)
+  | Pfocus st -> Pfocus (interp_statement (interp_constr true) sigma env st)
+  | Pdefine (id,args,body) -> 
+      let nargs,_,nbody = interp_fun sigma env args body in
+	Pdefine (id,nargs,nbody)
+  | Pcast (id,typ) -> 
+      Pcast(id,interp_constr true sigma env typ)
+
+let rec interp_proof_instr info sigma env instr=
+  {emph = instr.emph;
+   instr = interp_bare_proof_instr info sigma env instr.instr}
+ 
+
+