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-rw-r--r--contrib/subtac/subtac_command.ml466
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diff --git a/contrib/subtac/subtac_command.ml b/contrib/subtac/subtac_command.ml
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index c8c7ff72..00000000
--- a/contrib/subtac/subtac_command.ml
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@@ -1,466 +0,0 @@
-open Closure
-open RedFlags
-open Declarations
-open Entries
-open Dyn
-open Libobject
-open Pattern
-open Matching
-open Pp
-open Rawterm
-open Sign
-open Tacred
-open Util
-open Names
-open Nameops
-open Libnames
-open Nametab
-open Pfedit
-open Proof_type
-open Refiner
-open Tacmach
-open Tactic_debug
-open Topconstr
-open Term
-open Termops
-open Tacexpr
-open Safe_typing
-open Typing
-open Hiddentac
-open Genarg
-open Decl_kinds
-open Mod_subst
-open Printer
-open Inductiveops
-open Syntax_def
-open Environ
-open Tactics
-open Tacticals
-open Tacinterp
-open Vernacexpr
-open Notation
-open Evd
-open Evarutil
-
-module SPretyping = Subtac_pretyping.Pretyping
-open Subtac_utils
-open Pretyping
-open Subtac_obligations
-
-(*********************************************************************)
-(* Functions to parse and interpret constructions *)
-
-let evar_nf isevars c =
- isevars := Evarutil.nf_evar_defs !isevars;
- Evarutil.nf_isevar !isevars c
-
-let interp_gen kind isevars env
- ?(impls=([],[])) ?(allow_patvar=false) ?(ltacvars=([],[]))
- c =
- let c' = Constrintern.intern_gen (kind=IsType) ~impls ~allow_patvar ~ltacvars (Evd.evars_of !isevars) env c in
- let c' = SPretyping.pretype_gen isevars env ([],[]) kind c' in
- evar_nf isevars c'
-
-let interp_constr isevars env c =
- interp_gen (OfType None) isevars env c
-
-let interp_type_evars isevars env ?(impls=([],[])) c =
- interp_gen IsType isevars env ~impls c
-
-let interp_casted_constr isevars env ?(impls=([],[])) c typ =
- interp_gen (OfType (Some typ)) isevars env ~impls c
-
-let interp_casted_constr_evars isevars env ?(impls=([],[])) c typ =
- interp_gen (OfType (Some typ)) isevars env ~impls c
-
-let interp_open_constr isevars env c =
- msgnl (str "Pretyping " ++ my_print_constr_expr c);
- let c = Constrintern.intern_constr (Evd.evars_of !isevars) env c in
- let c' = SPretyping.pretype_gen isevars env ([], []) (OfType None) c in
- evar_nf isevars c'
-
-let interp_constr_judgment isevars env c =
- let j =
- SPretyping.understand_judgment_tcc isevars env
- (Constrintern.intern_constr (Evd.evars_of !isevars) env c)
- in
- { uj_val = evar_nf isevars j.uj_val; uj_type = evar_nf isevars j.uj_type }
-
-let locate_if_isevar loc na = function
- | RHole _ ->
- (try match na with
- | Name id -> Reserve.find_reserved_type id
- | Anonymous -> raise Not_found
- with Not_found -> RHole (loc, Evd.BinderType na))
- | x -> x
-
-let interp_binder sigma env na t =
- let t = Constrintern.intern_gen true (Evd.evars_of !sigma) env t in
- SPretyping.pretype_gen sigma env ([], []) IsType (locate_if_isevar (loc_of_rawconstr t) na t)
-
-let interp_context_evars evdref env params =
- let bl = Constrintern.intern_context false (Evd.evars_of !evdref) env params in
- let (env, par, _, impls) =
- List.fold_left
- (fun (env,params,n,impls) (na, k, b, t) ->
- match b with
- None ->
- let t' = locate_if_isevar (loc_of_rawconstr t) na t in
- let t = SPretyping.understand_tcc_evars evdref env IsType t' in
- let d = (na,None,t) in
- let impls =
- if k = Implicit then
- let na = match na with Name n -> Some n | Anonymous -> None in
- (ExplByPos (n, na), (true, true)) :: impls
- else impls
- in
- (push_rel d env, d::params, succ n, impls)
- | Some b ->
- let c = SPretyping.understand_judgment_tcc evdref env b in
- let d = (na, Some c.uj_val, c.uj_type) in
- (push_rel d env,d::params, succ n, impls))
- (env,[],1,[]) (List.rev bl)
- in (env, par), impls
-
-(* try to find non recursive definitions *)
-
-let list_chop_hd i l = match list_chop i l with
- | (l1,x::l2) -> (l1,x,l2)
- | (x :: [], l2) -> ([], x, [])
- | _ -> assert(false)
-
-let collect_non_rec env =
- let rec searchrec lnonrec lnamerec ldefrec larrec nrec =
- try
- let i =
- list_try_find_i
- (fun i f ->
- if List.for_all (fun (_, def) -> not (occur_var env f def)) ldefrec
- then i else failwith "try_find_i")
- 0 lnamerec
- in
- let (lf1,f,lf2) = list_chop_hd i lnamerec in
- let (ldef1,def,ldef2) = list_chop_hd i ldefrec in
- let (lar1,ar,lar2) = list_chop_hd i larrec in
- let newlnv =
- try
- match list_chop i nrec with
- | (lnv1,_::lnv2) -> (lnv1@lnv2)
- | _ -> [] (* nrec=[] for cofixpoints *)
- with Failure "list_chop" -> []
- in
- searchrec ((f,def,ar)::lnonrec)
- (lf1@lf2) (ldef1@ldef2) (lar1@lar2) newlnv
- with Failure "try_find_i" ->
- (List.rev lnonrec,
- (Array.of_list lnamerec, Array.of_list ldefrec,
- Array.of_list larrec, Array.of_list nrec))
- in
- searchrec []
-
-let list_of_local_binders l =
- let rec aux acc = function
- Topconstr.LocalRawDef (n, c) :: tl -> aux ((n, Some c, None) :: acc) tl
- | Topconstr.LocalRawAssum (nl, k, c) :: tl ->
- aux (List.fold_left (fun acc n -> (n, None, Some c) :: acc) acc nl) tl
- | [] -> List.rev acc
- in aux [] l
-
-let lift_binders k n l =
- let rec aux n = function
- | (id, t, c) :: tl -> (id, Option.map (liftn k n) t, liftn k n c) :: aux (pred n) tl
- | [] -> []
- in aux n l
-
-let rec gen_rels = function
- 0 -> []
- | n -> mkRel n :: gen_rels (pred n)
-
-let split_args n rel = match list_chop ((List.length rel) - n) rel with
- (l1, x :: l2) -> l1, x, l2
- | _ -> assert(false)
-
-let build_wellfounded (recname, n, bl,arityc,body) r measure notation boxed =
- Coqlib.check_required_library ["Coq";"Program";"Wf"];
- let sigma = Evd.empty in
- let isevars = ref (Evd.create_evar_defs sigma) in
- let env = Global.env() in
- let pr c = my_print_constr env c in
- let prr = Printer.pr_rel_context env in
- let _prn = Printer.pr_named_context env in
- let _pr_rel env = Printer.pr_rel_context env in
-(* let _ = *)
-(* try debug 2 (str "In named context: " ++ prn (named_context env) ++ str "Rewriting fixpoint: " ++ Ppconstr.pr_id recname ++ *)
-(* Ppconstr.pr_binders bl ++ str " : " ++ *)
-(* Ppconstr.pr_constr_expr arityc ++ str " := " ++ spc () ++ *)
-(* Ppconstr.pr_constr_expr body) *)
-(* with _ -> () *)
- (* in *)
- let (env', binders_rel), impls = interp_context_evars isevars env bl in
- let after, ((argname, _, argtyp) as arg), before =
- let idx = list_index (Name (snd n)) (List.rev_map (fun (na, _, _) -> na) binders_rel) in
- split_args idx binders_rel in
- let before_length, after_length = List.length before, List.length after in
- let argid = match argname with Name n -> n | _ -> assert(false) in
- let liftafter = lift_binders 1 after_length after in
- let envwf = push_rel_context before env in
- let wf_rel, wf_rel_fun, measure_fn =
- let rconstr_body, rconstr =
- let app = mkAppC (r, [mkIdentC (id_of_name argname)]) in
- let env = push_rel_context [arg] envwf in
- let capp = interp_constr isevars env app in
- capp, mkLambda (argname, argtyp, capp)
- in
- trace (str"rconstr_body: " ++ pr rconstr_body);
- if measure then
- let lt_rel = constr_of_global (Lazy.force lt_ref) in
- let name s = Name (id_of_string s) in
- let wf_rel_fun lift x y = (* lift to before_env *)
- trace (str"lifter rconstr_body:" ++ pr (liftn lift 2 rconstr_body));
- mkApp (lt_rel, [| subst1 x (liftn lift 2 rconstr_body);
- subst1 y (liftn lift 2 rconstr_body) |])
- in
- let wf_rel =
- mkLambda (name "x", argtyp,
- mkLambda (name "y", lift 1 argtyp,
- wf_rel_fun 0 (mkRel 2) (mkRel 1)))
- in
- wf_rel, wf_rel_fun , Some rconstr
- else rconstr, (fun lift x y -> mkApp (rconstr, [|x; y|])), None
- in
- let wf_proof = mkApp (Lazy.force well_founded, [| argtyp ; wf_rel |])
- in
- let argid' = id_of_string (string_of_id argid ^ "'") in
- let wfarg len = (Name argid', None,
- mkSubset (Name argid') (lift len argtyp)
- (wf_rel_fun (succ len) (mkRel 1) (mkRel (len + 1))))
- in
- let top_bl = after @ (arg :: before) in
- let top_env = push_rel_context top_bl env in
- let top_arity = interp_type_evars isevars top_env arityc in
- let intern_bl = wfarg 1 :: arg :: before in
- let _intern_env = push_rel_context intern_bl env in
- let proj = (Lazy.force sig_).Coqlib.proj1 in
- let projection =
- mkApp (proj, [| argtyp ;
- (mkLambda (Name argid', argtyp,
- (wf_rel_fun 1 (mkRel 1) (mkRel 3)))) ;
- mkRel 1
- |])
- in
- let intern_arity = it_mkProd_or_LetIn top_arity after in
- (* Intern arity is in top_env = arg :: before *)
- let intern_arity = liftn 2 2 intern_arity in
-(* trace (str "After lifting arity: " ++ *)
-(* my_print_constr (push_rel (Name argid', None, lift 2 argtyp) intern_env) *)
-(* intern_arity); *)
- (* arity is now in something :: wfarg :: arg :: before
- where what refered to arg now refers to something *)
- let intern_arity = substl [projection] intern_arity in
- (* substitute the projection of wfarg for something *)
- let intern_before_env = push_rel_context before env in
- let intern_fun_arity_prod = it_mkProd_or_LetIn intern_arity [wfarg 1] in
- let intern_fun_binder = (Name recname, None, intern_fun_arity_prod) in
- let fun_bl = liftafter @ (intern_fun_binder :: [arg]) in
- let fun_env = push_rel_context fun_bl intern_before_env in
- let fun_arity = interp_type_evars isevars fun_env arityc in
- let intern_body = interp_casted_constr isevars fun_env body fun_arity in
- let intern_body_lam = it_mkLambda_or_LetIn intern_body fun_bl in
- let _ =
- try trace ((* str "Fun bl: " ++ prr fun_bl ++ spc () ++ *)
- str "Intern bl" ++ prr intern_bl ++ spc ())
-(* str "Top bl" ++ prr top_bl ++ spc () ++ *)
-(* str "Intern arity: " ++ pr intern_arity ++ *)
-(* str "Top arity: " ++ pr top_arity ++ spc () ++ *)
-(* str "Intern body " ++ pr intern_body_lam) *)
- with _ -> ()
- in
- let prop = mkLambda (Name argid, argtyp, it_mkProd_or_LetIn top_arity after) in
- (* Lift to get to constant arguments *)
- let lift_cst = List.length after + 1 in
- let fix_def =
- match measure_fn with
- None ->
- mkApp (constr_of_global (Lazy.force fix_sub_ref),
- [| argtyp ;
- wf_rel ;
- make_existential dummy_loc ~opaque:(Define false) env isevars wf_proof ;
- lift lift_cst prop ;
- lift lift_cst intern_body_lam |])
- | Some f ->
- mkApp (constr_of_global (Lazy.force fix_measure_sub_ref),
- [| lift lift_cst argtyp ;
- lift lift_cst f ;
- lift lift_cst prop ;
- lift lift_cst intern_body_lam |])
- in
- let def_appl = applist (fix_def, gen_rels (after_length + 1)) in
- let def = it_mkLambda_or_LetIn def_appl binders_rel in
- let typ = it_mkProd_or_LetIn top_arity binders_rel in
- let fullcoqc = Evarutil.nf_isevar !isevars def in
- let fullctyp = Evarutil.nf_isevar !isevars typ in
- let evm = evars_of_term (Evd.evars_of !isevars) Evd.empty fullctyp in
- let evm = evars_of_term (Evd.evars_of !isevars) evm fullcoqc in
- let evm = non_instanciated_map env isevars evm in
- let evars, evars_def, evars_typ = Eterm.eterm_obligations env recname !isevars evm 0 fullcoqc fullctyp in
- Subtac_obligations.add_definition recname evars_def evars_typ ~implicits:impls evars
-
-let nf_evar_context isevars ctx =
- List.map (fun (n, b, t) ->
- (n, Option.map (Evarutil.nf_isevar isevars) b, Evarutil.nf_isevar isevars t)) ctx
-
-let interp_fix_context evdref env fix =
- interp_context_evars evdref env fix.Command.fix_binders
-
-let interp_fix_ccl evdref (env,_) fix =
- interp_type_evars evdref env fix.Command.fix_type
-
-let interp_fix_body evdref env_rec impls (_,ctx) fix ccl =
- let env = push_rel_context ctx env_rec in
- let body = interp_casted_constr_evars evdref env ~impls fix.Command.fix_body ccl in
- it_mkLambda_or_LetIn body ctx
-
-let build_fix_type (_,ctx) ccl = it_mkProd_or_LetIn ccl ctx
-
-let prepare_recursive_declaration fixnames fixtypes fixdefs =
- let defs = List.map (subst_vars (List.rev fixnames)) fixdefs in
- let names = List.map (fun id -> Name id) fixnames in
- (Array.of_list names, Array.of_list fixtypes, Array.of_list defs)
-
-let rel_index n ctx =
- list_index0 (Name n) (List.rev_map pi1 (List.filter (fun x -> pi2 x = None) ctx))
-
-let rec unfold f b =
- match f b with
- | Some (x, b') -> x :: unfold f b'
- | None -> []
-
-let compute_possible_guardness_evidences (n,_) (_, fixctx) fixtype =
- match n with
- | Some (loc, n) -> [rel_index n fixctx]
- | None ->
- (* If recursive argument was not given by user, we try all args.
- An earlier approach was to look only for inductive arguments,
- but doing it properly involves delta-reduction, and it finally
- doesn't seem to worth the effort (except for huge mutual
- fixpoints ?) *)
- let len = List.length fixctx in
- unfold (function x when x = len -> None
- | n -> Some (n, succ n)) 0
-
-let push_named_context = List.fold_right push_named
-
-let check_evars env initial_sigma evd c =
- let sigma = evars_of evd in
- let c = nf_evar sigma c in
- let rec proc_rec c =
- match kind_of_term c with
- | Evar (evk,args) ->
- assert (Evd.mem sigma evk);
- if not (Evd.mem initial_sigma evk) then
- let (loc,k) = evar_source evk evd in
- (match k with
- | QuestionMark _ -> ()
- | _ ->
- let evi = nf_evar_info sigma (Evd.find sigma evk) in
- Pretype_errors.error_unsolvable_implicit loc env sigma evi k None)
- | _ -> iter_constr proc_rec c
- in proc_rec c
-
-let interp_recursive fixkind l boxed =
- let env = Global.env() in
- let fixl, ntnl = List.split l in
- let kind = if fixkind <> Command.IsCoFixpoint then Fixpoint else CoFixpoint in
- let fixnames = List.map (fun fix -> fix.Command.fix_name) fixl in
-
- (* Interp arities allowing for unresolved types *)
- let evdref = ref (Evd.create_evar_defs Evd.empty) in
- let fixctxs, fiximps = List.split (List.map (interp_fix_context evdref env) fixl) in
- let fixccls = List.map2 (interp_fix_ccl evdref) fixctxs fixl in
- let fixtypes = List.map2 build_fix_type fixctxs fixccls in
- let rec_sign =
- List.fold_left2 (fun env id t -> (id,None,t) :: env)
- [] fixnames fixtypes
- in
- let env_rec = push_named_context rec_sign env in
-
- (* Get interpretation metadatas *)
- let impls = Command.compute_interning_datas env Constrintern.Recursive [] fixnames fixtypes fiximps in
- let notations = List.fold_right Option.List.cons ntnl [] in
-
- (* Interp bodies with rollback because temp use of notations/implicit *)
- let fixdefs =
- States.with_state_protection (fun () ->
- List.iter (Command.declare_interning_data impls) notations;
- list_map3 (interp_fix_body evdref env_rec impls) fixctxs fixl fixccls)
- () in
-
- (* Instantiate evars and check all are resolved *)
- let evd,_ = Evarconv.consider_remaining_unif_problems env_rec !evdref in
- let fixdefs = List.map (nf_evar (evars_of evd)) fixdefs in
- let fixtypes = List.map (nf_evar (evars_of evd)) fixtypes in
- let rec_sign = nf_named_context_evar (evars_of evd) rec_sign in
-
- let recdefs = List.length rec_sign in
- List.iter (check_evars env_rec Evd.empty evd) fixdefs;
- List.iter (check_evars env Evd.empty evd) fixtypes;
- Command.check_mutuality env kind (List.combine fixnames fixdefs);
-
- (* Russell-specific code *)
-
- (* Get the interesting evars, those that were not instanciated *)
- let isevars = Evd.undefined_evars evd in
- let evm = Evd.evars_of isevars in
- (* Solve remaining evars *)
- let rec collect_evars id def typ imps =
- (* Generalize by the recursive prototypes *)
- let def =
- Termops.it_mkNamedLambda_or_LetIn def rec_sign
- and typ =
- Termops.it_mkNamedProd_or_LetIn typ rec_sign
- in
- let evm' = Subtac_utils.evars_of_term evm Evd.empty def in
- let evm' = Subtac_utils.evars_of_term evm evm' typ in
- let evars, def, typ = Eterm.eterm_obligations env id isevars evm' recdefs def typ in
- (id, def, typ, imps, evars)
- in
- let defs = list_map4 collect_evars fixnames fixdefs fixtypes fiximps in
- (match fixkind with
- | Command.IsFixpoint wfl ->
- let possible_indexes =
- list_map3 compute_possible_guardness_evidences wfl fixctxs fixtypes in
- let fixdecls = Array.of_list (List.map (fun x -> Name x) fixnames),
- Array.of_list fixtypes,
- Array.of_list (List.map (subst_vars (List.rev fixnames)) fixdefs)
- in
- let indexes = Pretyping.search_guard dummy_loc (Global.env ()) possible_indexes fixdecls in
- list_iter_i (fun i _ -> Inductive.check_fix env ((indexes,i),fixdecls)) l
- | Command.IsCoFixpoint -> ());
- Subtac_obligations.add_mutual_definitions defs notations fixkind
-
-let out_n = function
- Some n -> n
- | None -> raise Not_found
-
-let build_recursive l b =
- let g = List.map (fun ((_,wf,_,_,_),_) -> wf) l in
- match g, l with
- [(n, CWfRec r)], [(((_,id),_,bl,typ,def),ntn)] ->
- ignore(build_wellfounded (id, out_n n, bl, typ, def) r false ntn false)
-
- | [(n, CMeasureRec r)], [(((_,id),_,bl,typ,def),ntn)] ->
- ignore(build_wellfounded (id, out_n n, bl, typ, def) r true ntn false)
-
- | _, _ when List.for_all (fun (n, ro) -> ro = CStructRec) g ->
- let fixl = List.map (fun (((_,id),_,bl,typ,def),ntn) ->
- ({Command.fix_name = id; Command.fix_binders = bl; Command.fix_body = def; Command.fix_type = typ},ntn)) l
- in interp_recursive (Command.IsFixpoint g) fixl b
- | _, _ ->
- errorlabstrm "Subtac_command.build_recursive"
- (str "Well-founded fixpoints not allowed in mutually recursive blocks")
-
-let build_corecursive l b =
- let fixl = List.map (fun (((_,id),bl,typ,def),ntn) ->
- ({Command.fix_name = id; Command.fix_binders = bl; Command.fix_body = def; Command.fix_type = typ},ntn))
- l in
- interp_recursive Command.IsCoFixpoint fixl b