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-(************************************************************************)
-(* v * The Coq Proof Assistant / The Coq Development Team *)
-(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *)
-(* \VV/ **************************************************************)
-(* // * This file is distributed under the terms of the *)
-(* * GNU Lesser General Public License Version 2.1 *)
-(************************************************************************)
-
-open CErrors
-open Util
-open Names
-open Constrexpr
-open Tacintern
-open Decl_expr
-open Decl_mode
-open Pretyping
-open Glob_term
-open Term
-open Vars
-open Pp
-open Decl_kinds
-open Misctypes
-
-(* INTERN *)
-
-let glob_app (loc,hd,args) = if List.is_empty args then hd else GApp(loc,hd,args)
-
-let intern_justification_items globs =
- Option.map (List.map (intern_constr globs))
-
-let intern_justification_method globs =
- Option.map (intern_pure_tactic globs)
-
-let intern_statement intern_it globs st =
- {st_label=st.st_label;
- st_it=intern_it globs st.st_it}
-
-let intern_no_bind intern_it globs x =
- globs,intern_it globs x
-
-let intern_constr_or_thesis globs = function
- Thesis n -> Thesis n
- | This c -> This (intern_constr globs c)
-
-let add_var id globs=
- {globs with ltacvars = Id.Set.add id globs.ltacvars}
-
-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=
- let nglobs,nstat=intern_it globs cut.cut_stat in
- {cut_stat=nstat;
- cut_by=intern_justification_items nglobs cut.cut_by;
- cut_using=intern_justification_method nglobs cut.cut_using}
-
-let intern_casee globs = function
- Real c -> Real (intern_constr globs c)
- | Virtual cut -> Virtual
- (intern_cut (intern_no_bind (intern_statement 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_suffices_clause globs (hyps,c) =
- let nglobs,nhyps = List.fold_map (intern_hyp intern_constr) globs hyps in
- nglobs,(nhyps,intern_constr_or_thesis nglobs c)
-
-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
-(* Loc.raise loc
- (UserError ("simple_pattern",str "\"as\" is not allowed here"))*)
- | CPatOr (loc, _)->
- Loc.raise loc
- (UserError ("simple_pattern",str "\"(_ | _)\" is not allowed here"))
- | CPatDelimiters (_,_,p) ->
- add_vars_of_simple_pattern globs p
- | CPatCstr (_,_,pl1,pl2) ->
- List.fold_left add_vars_of_simple_pattern
- (Option.fold_left (List.fold_left add_vars_of_simple_pattern) globs pl1) pl2
- | CPatNotation(_,_,(pl,pll),pl') ->
- List.fold_left add_vars_of_simple_pattern globs (List.flatten (pl::pl'::pll))
- | 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_no_bind (intern_statement intern_constr_or_thesis)) globs c)
- | Psuffices c ->
- Psuffices (intern_cut intern_suffices_clause globs c)
- | Prew (s,c) -> Prew
- (s,intern_cut
- (intern_no_bind (intern_statement 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 intern_proof_instr globs instr=
- {emph = instr.emph;
- instr = intern_bare_proof_instr globs instr.instr}
-
-(* INTERP *)
-
-let interp_justification_items env sigma =
- Option.map (List.map (fun c -> fst (*FIXME*)(understand env sigma (fst c))))
-
-let interp_constr check_sort env sigma c =
- if check_sort then
- fst (understand env sigma ~expected_type:IsType (fst c) (* FIXME *))
- else
- fst (understand env sigma (fst c))
-
-let special_whd env =
- let infos=CClosure.create_clos_infos CClosure.all env in
- (fun t -> CClosure.whd_val infos (CClosure.inject t))
-
-let _eq = lazy (Universes.constr_of_global (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 (Lazy.force _eq) && Int.equal (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 typ = decompose_eq env (get_last env) in
- typ
-
-let interp_constr_in_type typ env sigma c =
- fst (understand env sigma (fst c) ~expected_type:(OfType typ))(*FIXME*)
-
-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 abstract_one_hyp inject h glob =
- match h with
- Hvar (loc,(id,None)) ->
- GProd (Loc.ghost,Name id, Explicit, GHole (loc,Evar_kinds.BinderType (Name id), Misctypes.IntroAnonymous, None), glob)
- | Hvar (loc,(id,Some typ)) ->
- GProd (Loc.ghost,Name id, Explicit, fst typ, glob)
- | Hprop st ->
- GProd (Loc.ghost,st.st_label, Explicit, inject st.st_it, glob)
-
-let glob_constr_of_hyps inject hyps head =
- List.fold_right (abstract_one_hyp inject) hyps head
-
-let glob_prop = GSort (Loc.ghost,GProp)
-
-let rec match_hyps blend names constr = function
- [] -> [],substl names constr
- | 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
- let rhyps,head = match_hyps blend qnames body q in
- qhyp::rhyps,head
-
-let interp_hyps_gen inject blend env sigma hyps head =
- let constr= fst(*FIXME*) (understand env sigma (glob_constr_of_hyps inject hyps head)) in
- match_hyps blend [] constr hyps
-
-let interp_hyps env sigma hyps = fst (interp_hyps_gen fst (fun x _ -> x) env sigma hyps glob_prop)
-
-let dummy_prefix= Id.of_string "__"
-
-let rec deanonymize ids =
- function
- PatVar (loc,Anonymous) ->
- let (found,known) = !ids in
- let new_id=Namegen.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 glob_of_pat =
- function
- PatVar (loc,Anonymous) -> anomaly (Pp.str "Anonymous pattern variable")
- | PatVar (loc,Name id) ->
- GVar (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) (GHole(Loc.ghost,
- Evar_kinds.TomatchTypeParameter(ind,n), Misctypes.IntroAnonymous, None)::q) in
- let args = List.map glob_of_pat lpat in
- glob_app(loc,GRef(Loc.ghost,Globnames.ConstructRef cstr,None),
- add_params mind.Declarations.mind_nparams args)
-
-let prod_one_hyp = function
- (loc,(id,None)) ->
- (fun glob ->
- GProd (Loc.ghost,Name id, Explicit,
- GHole (loc,Evar_kinds.BinderType (Name id), Misctypes.IntroAnonymous, None), glob))
- | (loc,(id,Some typ)) ->
- (fun glob ->
- GProd (Loc.ghost,Name id, Explicit, fst typ, glob))
-
-let prod_one_id (loc,id) glob =
- GProd (Loc.ghost,Name id, Explicit,
- GHole (loc,Evar_kinds.BinderType (Name id), Misctypes.IntroAnonymous, None), glob)
-
-let let_in_one_alias (id,pat) glob =
- GLetIn (Loc.ghost,Name id, glob_of_pat pat, glob)
-
-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 =
- Id.Map.fold (fun ids idp map -> (ids,Id.List.assoc idp map)::map) subst map
-
-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 (Pp.str "empty pattern list")
- | [subst,patt] ->
- (patvars,bind_aliases patvars subst patt,patt)
- | _ -> anomaly (Pp.str "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 env c = Detyping.detype false [] env Evd.empty 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 not (Int.equal (List.length params) expected) then
- errorlabstrm "suppose it is"
- (str "Wrong number of extra arguments: " ++
- (if Int.equal expected 0 then str "none" else int expected) ++ spc () ++
- str "expected.") in
- let app_ind =
- let rind = GRef (Loc.ghost,Globnames.IndRef pinfo.per_ind,None) in
- let rparams = List.map (detype_ground env) pinfo.per_params in
- let rparams_rec =
- List.map
- (fun (loc,(id,_)) ->
- GVar (loc,id)) params in
- let dum_args=
- List.init oib.Declarations.mind_nrealargs
- (fun _ -> GHole (Loc.ghost,Evar_kinds.QuestionMark (Evar_kinds.Define false),Misctypes.IntroAnonymous, None)) in
- glob_app(Loc.ghost,rind,rparams@rparams_rec@dum_args) in
- let pat_vars,aliases,patt = interp_pattern env pat in
- let inject = function
- Thesis (Plain) -> Glob_term.GSort(Loc.ghost,GProp)
- | Thesis (For rec_occ) ->
- if not (Id.List.mem rec_occ pat_vars) then
- errorlabstrm "suppose it is"
- (str "Variable " ++ Nameops.pr_id rec_occ ++
- str " does not occur in pattern.");
- Glob_term.GSort(Loc.ghost,GProp)
- | This (c,_) -> c in
- let term1 = glob_constr_of_hyps inject hyps glob_prop 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 =
- GLetIn(Loc.ghost,Anonymous,
- GCast(Loc.ghost,glob_of_pat npatt,
- CastConv 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 = fst (understand env sigma term5)(*FIXME*) 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 = fst (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=
- let nenv,nstat = interp_it env sigma cut.cut_stat in
- { cut_using=Option.map (Tacinterp.Value.of_closure (Tacinterp.default_ist ())) cut.cut_using;
- cut_stat=nstat;
- cut_by=interp_justification_items nenv sigma cut.cut_by}
-
-let interp_no_bind interp_it env sigma x =
- env,interp_it env sigma x
-
-let interp_suffices_clause env sigma (hyps,cot)=
- let (locvars,_) as res =
- match cot with
- This (c,_) ->
- let nhyps,nc = interp_hyps_gen fst (fun x _ -> x) env sigma hyps c in
- nhyps,This nc
- | Thesis Plain as th -> interp_hyps env sigma hyps,th
- | Thesis (For n) -> error "\"thesis for\" is not applicable here." in
- let push_one hyp env0 =
- match hyp with
- (Hprop st | Hvar st) ->
- match st.st_label with
- Name id -> Environ.push_named (Context.Named.Declaration.LocalAssum (id,st.st_it)) env0
- | _ -> env in
- let nenv = List.fold_right push_one locvars env in
- nenv,res
-
-let interp_casee env sigma = function
- Real c -> Real (fst (understand env sigma (fst c)))(*FIXME*)
- | Virtual cut -> Virtual (interp_cut (interp_no_bind (interp_statement (interp_constr true))) env sigma cut)
-
-let abstract_one_arg = function
- (loc,(id,None)) ->
- (fun glob ->
- GLambda (Loc.ghost,Name id, Explicit,
- GHole (loc,Evar_kinds.BinderType (Name id),Misctypes.IntroAnonymous,None), glob))
- | (loc,(id,Some typ)) ->
- (fun glob ->
- GLambda (Loc.ghost,Name id, Explicit, fst typ, glob))
-
-let glob_constr_of_fun args body =
- List.fold_right abstract_one_arg args (fst body)
-
-let interp_fun env sigma args body =
- let constr=fst (*FIXME*) (understand env sigma (glob_constr_of_fun args body)) in
- match_args destLambda [] constr args
-
-let rec interp_bare_proof_instr info env sigma = function
- Pthus i -> Pthus (interp_bare_proof_instr info env sigma i)
- | Pthen i -> Pthen (interp_bare_proof_instr info env sigma i)
- | Phence i -> Phence (interp_bare_proof_instr info env sigma i)
- | Pcut c -> Pcut (interp_cut
- (interp_no_bind (interp_statement
- (interp_constr_or_thesis true)))
- env sigma c)
- | Psuffices c ->
- Psuffices (interp_cut interp_suffices_clause env sigma c)
- | Prew (s,c) -> Prew (s,interp_cut
- (interp_no_bind (interp_statement
- (interp_constr_in_type (get_eq_typ info env))))
- env sigma c)
-
- | Psuppose hyps -> Psuppose (interp_hyps env sigma 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 -> fst (*FIXME*) (understand env sigma (fst c))) witl)
- | Pconsider (c,hyps) -> Pconsider (interp_constr false env sigma c,
- interp_hyps env sigma hyps)
- | Pper (et,c) -> Pper (et,interp_casee env sigma c)
- | Pend bt -> Pend bt
- | Pescape -> Pescape
- | Passume hyps -> Passume (interp_hyps env sigma hyps)
- | Pgiven hyps -> Pgiven (interp_hyps env sigma hyps)
- | Plet hyps -> Plet (interp_hyps env sigma hyps)
- | Pclaim st -> Pclaim (interp_statement (interp_constr true) env sigma st)
- | Pfocus st -> Pfocus (interp_statement (interp_constr true) env sigma st)
- | Pdefine (id,args,body) ->
- let nargs,_,nbody = interp_fun env sigma args body in
- Pdefine (id,nargs,nbody)
- | Pcast (id,typ) ->
- Pcast(id,interp_constr true env sigma typ)
-
-let interp_proof_instr info env sigma instr=
- {emph = instr.emph;
- instr = interp_bare_proof_instr info env sigma instr.instr}
-
-
-