(************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) (* x | MetaId (loc,_) -> error_syntactic_metavariables_not_allowed loc type ltac_type = | LtacFun of ltac_type | LtacBasic | LtacTactic (* Values for interpretation *) type value = | VTactic of loc * tactic (* For mixed ML/Ltac tactics (e.g. Tauto) *) | VRTactic of (goal list sigma * validation) (* For Match results *) (* Not a true value *) | VFun of (identifier*value) list * identifier option list * glob_tactic_expr | VVoid | VInteger of int | VIntroPattern of intro_pattern_expr (* includes idents which are not *) (* bound as in "Intro H" but which may be bound *) (* later, as in "tac" in "Intro H; tac" *) | VConstr of constr (* includes idents known bound and references *) | VConstr_context of constr | VRec of value ref let locate_tactic_call loc = function | VTactic (_,t) -> VTactic (loc,t) | v -> v let locate_error_in_file dir = function | Stdpp.Exc_located (loc,e) -> Error_in_file ("",(true,dir,loc),e) | e -> Error_in_file ("",(true,dir,dummy_loc),e) let catch_error loc tac g = try tac g with e when loc <> dummy_loc -> match e with | Stdpp.Exc_located (_,e) -> raise (Stdpp.Exc_located (loc,e)) | e -> raise (Stdpp.Exc_located (loc,e)) (* Signature for interpretation: val_interp and interpretation functions *) type interp_sign = { lfun : (identifier * value) list; debug : debug_info } let check_is_value = function | VRTactic _ -> (* These are goals produced by Match *) error "Immediate match producing tactics not allowed in local definitions" | _ -> () (* For tactic_of_value *) exception NotTactic (* Gives the constr corresponding to a Constr_context tactic_arg *) let constr_of_VConstr_context = function | VConstr_context c -> c | _ -> errorlabstrm "constr_of_VConstr_context" (str "not a context variable") (* Displays a value *) let pr_value env = function | VVoid -> str "()" | VInteger n -> int n | VIntroPattern ipat -> pr_intro_pattern ipat | VConstr c -> Printer.prterm_env env c | VConstr_context c -> Printer.prterm_env env c | (VTactic _ | VRTactic _ | VFun _ | VRec _) -> str "" (* Transforms a named_context into a (string * constr) list *) let make_hyps = List.map (fun (id,_,typ) -> (id, typ)) (* Transforms an id into a constr if possible, or fails *) let constr_of_id env id = construct_reference (Environ.named_context env) id (* To embed several objects in Coqast.t *) let ((tactic_in : (interp_sign -> raw_tactic_expr) -> Dyn.t), (tactic_out : Dyn.t -> (interp_sign -> raw_tactic_expr))) = create "tactic" let ((value_in : value -> Dyn.t), (value_out : Dyn.t -> value)) = create "value" let tacticIn t = TacArg (TacDynamic (dummy_loc,tactic_in t)) let tacticOut = function | TacArg (TacDynamic (_,d)) -> if (tag d) = "tactic" then tactic_out d else anomalylabstrm "tacticOut" (str "Dynamic tag should be tactic") | ast -> anomalylabstrm "tacticOut" (str "Not a Dynamic ast: " (* ++ print_ast ast*) ) let valueIn t = TacDynamic (dummy_loc,value_in t) let valueOut = function | TacDynamic (_,d) -> if (tag d) = "value" then value_out d else anomalylabstrm "valueOut" (str "Dynamic tag should be value") | ast -> anomalylabstrm "valueOut" (str "Not a Dynamic ast: ") (* To embed constr in Coqast.t *) let constrIn t = CDynamic (dummy_loc,Pretyping.constr_in t) let constrOut = function | CDynamic (_,d) -> if (Dyn.tag d) = "constr" then Pretyping.constr_out d else anomalylabstrm "constrOut" (str "Dynamic tag should be constr") | ast -> anomalylabstrm "constrOut" (str "Not a Dynamic ast") let loc = dummy_loc (* Table of interpretation functions *) let interp_tab = (Hashtbl.create 17 : (string , interp_sign -> Coqast.t -> value) Hashtbl.t) (* Adds an interpretation function *) let interp_add (ast_typ,interp_fun) = try Hashtbl.add interp_tab ast_typ interp_fun with Failure _ -> errorlabstrm "interp_add" (str "Cannot add the interpretation function for " ++ str ast_typ ++ str " twice") (* Adds a possible existing interpretation function *) let overwriting_interp_add (ast_typ,interp_fun) = if Hashtbl.mem interp_tab ast_typ then begin Hashtbl.remove interp_tab ast_typ; warning ("Overwriting definition of tactic interpreter command " ^ ast_typ) end; Hashtbl.add interp_tab ast_typ interp_fun (* Finds the interpretation function corresponding to a given ast type *) let look_for_interp = Hashtbl.find interp_tab (* Globalizes the identifier *) let find_reference env qid = (* We first look for a variable of the current proof *) match repr_qualid qid with | (d,id) when repr_dirpath d = [] & List.mem id (ids_of_context env) -> VarRef id | _ -> Nametab.locate qid let coerce_to_reference env = function | VConstr c -> (try reference_of_constr c with Not_found -> invalid_arg_loc (loc, "Not a reference")) | v -> errorlabstrm "coerce_to_reference" (str "The value" ++ spc () ++ pr_value env v ++ str "cannot be coerced to a reference") (* turns a value into an evaluable reference *) let error_not_evaluable s = errorlabstrm "evalref_of_ref" (str "Cannot coerce" ++ spc () ++ s ++ spc () ++ str "to an evaluable reference") let coerce_to_evaluable_ref env c = let ev = match c with | VConstr c when isConst c -> EvalConstRef (destConst c) | VConstr c when isVar c -> EvalVarRef (destVar c) | VIntroPattern (IntroIdentifier id) when Environ.evaluable_named id env -> EvalVarRef id | _ -> error_not_evaluable (pr_value env c) in if not (Tacred.is_evaluable env ev) then error_not_evaluable (pr_value env c); ev let coerce_to_inductive = function | VConstr c when isInd c -> destInd c | x -> try let r = match x with | VConstr c -> reference_of_constr c | _ -> failwith "" in errorlabstrm "coerce_to_inductive" (Printer.pr_global r ++ str " is not an inductive type") with _ -> errorlabstrm "coerce_to_inductive" (str "Found an argument which should be an inductive type") (* Table of "pervasives" macros tactics (e.g. auto, simpl, etc.) *) let atomic_mactab = ref Idmap.empty let add_primitive_tactic s tac = (if not !Options.v7 then let id = id_of_string s in atomic_mactab := Idmap.add id tac !atomic_mactab) let _ = if not !Options.v7 then (let nocl = {onhyps=Some[];onconcl=true; concl_occs=[]} in List.iter (fun (s,t) -> add_primitive_tactic s (TacAtom(dummy_loc,t))) [ "red", TacReduce(Red false,nocl); "hnf", TacReduce(Hnf,nocl); "simpl", TacReduce(Simpl None,nocl); "compute", TacReduce(Cbv all_flags,nocl); "intro", TacIntroMove(None,None); "intros", TacIntroPattern []; "assumption", TacAssumption; "cofix", TacCofix None; "trivial", TacTrivial None; "auto", TacAuto(None,None); "left", TacLeft NoBindings; "right", TacRight NoBindings; "split", TacSplit(false,NoBindings); "constructor", TacAnyConstructor None; "reflexivity", TacReflexivity; "symmetry", TacSymmetry nocl ]; List.iter (fun (s,t) -> add_primitive_tactic s t) [ "idtac",TacId ""; "fail", TacFail(ArgArg 0,""); "fresh", TacArg(TacFreshId None) ]) let lookup_atomic id = Idmap.find id !atomic_mactab let is_atomic id = Idmap.mem id !atomic_mactab let is_atomic_kn kn = let (_,_,l) = repr_kn kn in is_atomic (id_of_label l) (* Summary and Object declaration *) let mactab = ref Gmap.empty let lookup r = Gmap.find r !mactab let _ = let init () = mactab := Gmap.empty in let freeze () = !mactab in let unfreeze fs = mactab := fs in Summary.declare_summary "tactic-definition" { Summary.freeze_function = freeze; Summary.unfreeze_function = unfreeze; Summary.init_function = init; Summary.survive_module = false; Summary.survive_section = false } (* Interpretation of extra generic arguments *) type glob_sign = { ltacvars : identifier list * identifier list; (* ltac variables and the subset of vars introduced by Intro/Let/... *) ltacrecvars : (identifier * ltac_constant) list; (* ltac recursive names *) gsigma : Evd.evar_map; genv : Environ.env } type interp_genarg_type = (glob_sign -> raw_generic_argument -> glob_generic_argument) * (interp_sign -> goal sigma -> glob_generic_argument -> closed_generic_argument) * (Names.substitution -> glob_generic_argument -> glob_generic_argument) let extragenargtab = ref (Gmap.empty : (string,interp_genarg_type) Gmap.t) let add_interp_genarg id f = extragenargtab := Gmap.add id f !extragenargtab let lookup_genarg id = try Gmap.find id !extragenargtab with Not_found -> failwith ("No interpretation function found for entry "^id) let lookup_genarg_glob id = let (f,_,_) = lookup_genarg id in f let lookup_interp_genarg id = let (_,f,_) = lookup_genarg id in f let lookup_genarg_subst id = let (_,_,f) = lookup_genarg id in f (* Unboxes VRec *) let unrec = function | VRec v -> !v | a -> a (*****************) (* Globalization *) (*****************) (* We have identifier <| global_reference <| constr *) let find_ident id sign = List.mem id (fst sign.ltacvars) or List.mem id (ids_of_named_context (Environ.named_context sign.genv)) let find_recvar qid sign = List.assoc qid sign.ltacrecvars (* a "var" is a ltac var or a var introduced by an intro tactic *) let find_var id sign = List.mem id (fst sign.ltacvars) (* a "ctxvar" is a var introduced by an intro tactic (Intro/LetTac/...) *) let find_ctxvar id sign = List.mem id (snd sign.ltacvars) (* a "ltacvar" is an ltac var (Let-In/Fun/...) *) let find_ltacvar id sign = find_var id sign & not (find_ctxvar id sign) let find_hyp id sign = List.mem id (ids_of_named_context (Environ.named_context sign.genv)) (* Globalize a name introduced by Intro/LetTac/... ; it is allowed to *) (* be fresh in which case it is binding later on *) let intern_ident l ist id = (* We use identifier both for variables and new names; thus nothing to do *) if not (find_ident id ist) then l:=(id::fst !l,id::snd !l); id let intern_name l ist = function | Anonymous -> Anonymous | Name id -> Name (intern_ident l ist id) let vars_of_ist (lfun,_,_,env) = List.fold_left (fun s id -> Idset.add id s) (vars_of_env env) lfun let get_current_context () = try Pfedit.get_current_goal_context () with e when Logic.catchable_exception e -> (Evd.empty, Global.env()) let strict_check = ref false let adjust_loc loc = if !strict_check then dummy_loc else loc (* Globalize a name which must be bound -- actually just check it is bound *) let intern_hyp ist (loc,id as locid) = let (_,env) = get_current_context () in if not !strict_check then locid else if find_ident id ist then (dummy_loc,id) else Pretype_errors.error_var_not_found_loc loc id let intern_hyp_or_metaid ist id = intern_hyp ist (skip_metaid id) let intern_int_or_var ist = function | ArgVar locid as x -> ArgVar (intern_hyp ist locid) | ArgArg n as x -> x let intern_inductive ist = function | Ident (loc,id) when find_var id ist -> ArgVar (loc,id) | r -> ArgArg (Nametab.global_inductive r) exception NotSyntacticRef let locate_reference qid = match Nametab.extended_locate qid with | TrueGlobal ref -> ref | SyntacticDef kn -> match Syntax_def.search_syntactic_definition loc kn with | Rawterm.RRef (_,ref) -> ref | _ -> raise NotSyntacticRef let intern_global_reference ist = function | Ident (loc,id) as r when find_var id ist -> ArgVar (loc,id) | r -> let loc,qid = qualid_of_reference r in try ArgArg (loc,locate_reference qid) with _ -> error_global_not_found_loc loc qid let intern_tac_ref ist = function | Ident (loc,id) when find_ltacvar id ist -> ArgVar (loc,id) | Ident (loc,id) -> ArgArg (loc, try find_recvar id ist with Not_found -> locate_tactic (make_short_qualid id)) | r -> let (loc,qid) = qualid_of_reference r in ArgArg (loc,locate_tactic qid) let intern_tactic_reference ist r = try intern_tac_ref ist r with Not_found -> let (loc,qid) = qualid_of_reference r in error_global_not_found_loc loc qid let intern_constr_reference strict ist = function | Ident (_,id) when (not strict & find_hyp id ist) or find_ctxvar id ist -> RVar (loc,id), None | r -> let loc,qid = qualid_of_reference r in RRef (loc,locate_reference qid), if strict then None else Some (CRef r) let intern_reference strict ist = function | Ident (loc,id) when is_atomic id -> Tacexp (lookup_atomic id) | r -> (try Reference (intern_tac_ref ist r) with Not_found -> (try ConstrMayEval (ConstrTerm (intern_constr_reference strict ist r)) with Not_found -> (match r with | Ident (loc,id) when not strict -> IntroPattern (IntroIdentifier id) | _ -> let (loc,qid) = qualid_of_reference r in error_global_not_found_loc loc qid))) let rec intern_intro_pattern lf ist = function | IntroOrAndPattern l -> IntroOrAndPattern (intern_case_intro_pattern lf ist l) | IntroWildcard -> IntroWildcard | IntroIdentifier id -> IntroIdentifier (intern_ident lf ist id) and intern_case_intro_pattern lf ist = List.map (List.map (intern_intro_pattern lf ist)) let intern_quantified_hypothesis ist x = (* We use identifier both for variables and quantified hyps (no way to statically check the existence of a quantified hyp); thus nothing to do *) x let intern_constr {ltacvars=lfun; gsigma=sigma; genv=env} c = let warn = if !strict_check then fun x -> x else Constrintern.for_grammar in let c' = warn (Constrintern.interp_rawconstr_gen false sigma env false (fst lfun,[])) c in begin if Options.do_translate () then try (* Try to infer old case and type annotations *) let _ = Pretyping.understand_gen_tcc sigma env [] None c' in (* msgerrnl (str "Typage tactique OK");*) () with e -> (*msgerrnl (str "Warning: can't type tactic");*) () end; (c',if !strict_check then None else Some c) (* Globalize bindings *) let intern_binding ist (loc,b,c) = (loc,intern_quantified_hypothesis ist b,intern_constr ist c) let intern_bindings ist = function | NoBindings -> NoBindings | ImplicitBindings l -> ImplicitBindings (List.map (intern_constr ist) l) | ExplicitBindings l -> ExplicitBindings (List.map (intern_binding ist) l) let intern_constr_with_bindings ist (c,bl) = (intern_constr ist c, intern_bindings ist bl) let intern_clause_pattern ist (l,occl) = let rec check = function | (hyp,l) :: rest -> (intern_hyp ist (skip_metaid hyp),l)::(check rest) | [] -> [] in (l,check occl) (* TODO: catch ltac vars *) let intern_induction_arg ist = function | ElimOnConstr c -> ElimOnConstr (intern_constr ist c) | ElimOnAnonHyp n as x -> x | ElimOnIdent (loc,id) as x -> if !strict_check then (* If in a defined tactic, no intros-until *) ElimOnConstr (intern_constr ist (CRef (Ident (dummy_loc,id)))) else ElimOnIdent (loc,id) (* Globalizes a reduction expression *) let intern_evaluable ist = function | Ident (loc,id) as r when find_ltacvar id ist -> ArgVar (loc,id) | Ident (_,id) when (not !strict_check & find_hyp id ist) or find_ctxvar id ist -> ArgArg (EvalVarRef id, None) | r -> let loc,qid = qualid_of_reference r in try let e = match locate_reference qid with | ConstRef c -> EvalConstRef c | VarRef c -> EvalVarRef c | _ -> error_not_evaluable (pr_reference r) in let short_name = match r with | Ident (loc,id) when not !strict_check -> Some (loc,id) | _ -> None in ArgArg (e,short_name) with | NotSyntacticRef -> error_not_evaluable (pr_reference r) | Not_found -> match r with | Ident (loc,id) when not !strict_check -> ArgArg (EvalVarRef id, Some (loc,id)) | _ -> error_global_not_found_loc loc qid let intern_unfold ist (l,qid) = (l,intern_evaluable ist qid) let intern_flag ist red = { red with rConst = List.map (intern_evaluable ist) red.rConst } let intern_constr_occurrence ist (l,c) = (l,intern_constr ist c) let intern_redexp ist = function | Unfold l -> Unfold (List.map (intern_unfold ist) l) | Fold l -> Fold (List.map (intern_constr ist) l) | Cbv f -> Cbv (intern_flag ist f) | Lazy f -> Lazy (intern_flag ist f) | Pattern l -> Pattern (List.map (intern_constr_occurrence ist) l) | Simpl o -> Simpl (option_app (intern_constr_occurrence ist) o) | (Red _ | Hnf | ExtraRedExpr _ as r) -> r let intern_inversion_strength lf ist = function | NonDepInversion (k,idl,ids) -> NonDepInversion (k,List.map (intern_hyp_or_metaid ist) idl, option_app (intern_intro_pattern lf ist) ids) | DepInversion (k,copt,ids) -> DepInversion (k, option_app (intern_constr ist) copt, option_app (intern_intro_pattern lf ist) ids) | InversionUsing (c,idl) -> InversionUsing (intern_constr ist c, List.map (intern_hyp_or_metaid ist) idl) (* Interprets an hypothesis name *) let intern_hyp_location ist (id,occs,hl) = (intern_hyp ist (skip_metaid id), occs, hl) (* Reads a pattern *) let intern_pattern evc env lfun = function | Subterm (ido,pc) -> let (metas,pat) = interp_constrpattern_gen evc env lfun pc in ido, metas, Subterm (ido,pat) | Term pc -> let (metas,pat) = interp_constrpattern_gen evc env lfun pc in None, metas, Term pat let intern_constr_may_eval ist = function | ConstrEval (r,c) -> ConstrEval (intern_redexp ist r,intern_constr ist c) | ConstrContext (locid,c) -> ConstrContext (intern_hyp ist locid,intern_constr ist c) | ConstrTypeOf c -> ConstrTypeOf (intern_constr ist c) | ConstrTerm c -> ConstrTerm (intern_constr ist c) (* Reads the hypotheses of a Match Context rule *) let rec intern_match_context_hyps evc env lfun = function | (Hyp ((_,na) as locna,mp))::tl -> let ido, metas1, pat = intern_pattern evc env lfun mp in let lfun, metas2, hyps = intern_match_context_hyps evc env lfun tl in let lfun' = name_cons na (option_cons ido lfun) in lfun', metas1@metas2, Hyp (locna,pat)::hyps | [] -> lfun, [], [] (* Utilities *) let rec filter_some = function | None :: l -> filter_some l | Some a :: l -> a :: filter_some l | [] -> [] let extract_names lrc = List.fold_right (fun ((loc,name),_) l -> if List.mem name l then user_err_loc (loc, "intern_tactic", str "This variable is bound several times"); name::l) lrc [] let extract_let_names lrc = List.fold_right (fun ((loc,name),_,_) l -> if List.mem name l then user_err_loc (loc, "glob_tactic", str "This variable is bound several times"); name::l) lrc [] let clause_app f = function { onhyps=None; onconcl=b;concl_occs=nl } -> { onhyps=None; onconcl=b; concl_occs=nl } | { onhyps=Some l; onconcl=b;concl_occs=nl } -> { onhyps=Some(List.map f l); onconcl=b;concl_occs=nl} (* Globalizes tactics : raw_tactic_expr -> glob_tactic_expr *) let rec intern_atomic lf ist x = match (x:raw_atomic_tactic_expr) with (* Basic tactics *) | TacIntroPattern l -> TacIntroPattern (List.map (intern_intro_pattern lf ist) l) | TacIntrosUntil hyp -> TacIntrosUntil (intern_quantified_hypothesis ist hyp) | TacIntroMove (ido,ido') -> TacIntroMove (option_app (intern_ident lf ist) ido, option_app (intern_hyp ist) ido') | TacAssumption -> TacAssumption | TacExact c -> TacExact (intern_constr ist c) | TacApply cb -> TacApply (intern_constr_with_bindings ist cb) | TacElim (cb,cbo) -> TacElim (intern_constr_with_bindings ist cb, option_app (intern_constr_with_bindings ist) cbo) | TacElimType c -> TacElimType (intern_constr ist c) | TacCase cb -> TacCase (intern_constr_with_bindings ist cb) | TacCaseType c -> TacCaseType (intern_constr ist c) | TacFix (idopt,n) -> TacFix (option_app (intern_ident lf ist) idopt,n) | TacMutualFix (id,n,l) -> let f (id,n,c) = (intern_ident lf ist id,n,intern_constr ist c) in TacMutualFix (intern_ident lf ist id, n, List.map f l) | TacCofix idopt -> TacCofix (option_app (intern_ident lf ist) idopt) | TacMutualCofix (id,l) -> let f (id,c) = (intern_ident lf ist id,intern_constr ist c) in TacMutualCofix (intern_ident lf ist id, List.map f l) | TacCut c -> TacCut (intern_constr ist c) | TacTrueCut (na,c) -> TacTrueCut (intern_name lf ist na, intern_constr ist c) | TacForward (b,na,c) -> TacForward (b,intern_name lf ist na,intern_constr ist c) | TacGeneralize cl -> TacGeneralize (List.map (intern_constr ist) cl) | TacGeneralizeDep c -> TacGeneralizeDep (intern_constr ist c) | TacLetTac (na,c,cls) -> let na = intern_name lf ist na in TacLetTac (na,intern_constr ist c, (clause_app (intern_hyp_location ist) cls)) | TacInstantiate (n,c,cls) -> TacInstantiate (n,intern_constr ist c, (clause_app (intern_hyp_location ist) cls)) (* Automation tactics *) | TacTrivial l -> TacTrivial l | TacAuto (n,l) -> TacAuto (n,l) | TacAutoTDB n -> TacAutoTDB n | TacDestructHyp (b,id) -> TacDestructHyp(b,intern_hyp ist id) | TacDestructConcl -> TacDestructConcl | TacSuperAuto (n,l,b1,b2) -> TacSuperAuto (n,l,b1,b2) | TacDAuto (n,p) -> TacDAuto (n,p) (* Derived basic tactics *) | TacSimpleInduction (h,ids) -> TacSimpleInduction (intern_quantified_hypothesis ist h,ids) | TacNewInduction (c,cbo,(ids,ids')) -> TacNewInduction (intern_induction_arg ist c, option_app (intern_constr_with_bindings ist) cbo, (option_app (intern_intro_pattern lf ist) ids,ids')) | TacSimpleDestruct h -> TacSimpleDestruct (intern_quantified_hypothesis ist h) | TacNewDestruct (c,cbo,(ids,ids')) -> TacNewDestruct (intern_induction_arg ist c, option_app (intern_constr_with_bindings ist) cbo, (option_app (intern_intro_pattern lf ist) ids,ids')) | TacDoubleInduction (h1,h2) -> let h1 = intern_quantified_hypothesis ist h1 in let h2 = intern_quantified_hypothesis ist h2 in TacDoubleInduction (h1,h2) | TacDecomposeAnd c -> TacDecomposeAnd (intern_constr ist c) | TacDecomposeOr c -> TacDecomposeOr (intern_constr ist c) | TacDecompose (l,c) -> let l = List.map (intern_inductive ist) l in TacDecompose (l,intern_constr ist c) | TacSpecialize (n,l) -> TacSpecialize (n,intern_constr_with_bindings ist l) | TacLApply c -> TacLApply (intern_constr ist c) (* Context management *) | TacClear l -> TacClear (List.map (intern_hyp_or_metaid ist) l) | TacClearBody l -> TacClearBody (List.map (intern_hyp_or_metaid ist) l) | TacMove (dep,id1,id2) -> TacMove (dep,intern_hyp_or_metaid ist id1,intern_hyp_or_metaid ist id2) | TacRename (id1,id2) -> TacRename (intern_hyp_or_metaid ist id1, intern_hyp_or_metaid ist id2) (* Constructors *) | TacLeft bl -> TacLeft (intern_bindings ist bl) | TacRight bl -> TacRight (intern_bindings ist bl) | TacSplit (b,bl) -> TacSplit (b,intern_bindings ist bl) | TacAnyConstructor t -> TacAnyConstructor (option_app (intern_tactic ist) t) | TacConstructor (n,bl) -> TacConstructor (n, intern_bindings ist bl) (* Conversion *) | TacReduce (r,cl) -> TacReduce (intern_redexp ist r, clause_app (intern_hyp_location ist) cl) | TacChange (occl,c,cl) -> TacChange (option_app (intern_constr_occurrence ist) occl, intern_constr ist c, clause_app (intern_hyp_location ist) cl) (* Equivalence relations *) | TacReflexivity -> TacReflexivity | TacSymmetry idopt -> TacSymmetry (clause_app (intern_hyp_location ist) idopt) | TacTransitivity c -> TacTransitivity (intern_constr ist c) (* Equality and inversion *) | TacInversion (inv,hyp) -> TacInversion (intern_inversion_strength lf ist inv, intern_quantified_hypothesis ist hyp) (* For extensions *) | TacExtend (loc,opn,l) -> let _ = lookup_tactic opn in TacExtend (adjust_loc loc,opn,List.map (intern_genarg ist) l) | TacAlias (loc,s,l,(dir,body)) -> let (l1,l2) = ist.ltacvars in let ist' = { ist with ltacvars = ((List.map fst l)@l1,l2) } in let l = List.map (fun (id,a) -> (strip_meta id,intern_genarg ist a)) l in try TacAlias (loc,s,l,(dir,intern_tactic ist' body)) with e -> raise (locate_error_in_file (string_of_dirpath dir) e) and intern_tactic ist tac = (snd (intern_tactic_seq ist tac) : glob_tactic_expr) and intern_tactic_seq ist = function (* Traducteur v7->v8 *) | TacAtom (_,TacReduce (Unfold [_,Ident (_,id)],_)) when string_of_id id = "INZ" & !Options.translate_syntax -> ist.ltacvars, (TacId "") (* Fin traducteur v7->v8 *) | TacAtom (loc,t) -> let lf = ref ist.ltacvars in let t = intern_atomic lf ist t in !lf, TacAtom (adjust_loc loc, t) | TacFun tacfun -> ist.ltacvars, TacFun (intern_tactic_fun ist tacfun) | TacLetRecIn (lrc,u) -> let names = extract_names lrc in let (l1,l2) = ist.ltacvars in let ist = { ist with ltacvars = (names@l1,l2) } in let lrc = List.map (fun (n,b) -> (n,intern_tactic_fun ist b)) lrc in ist.ltacvars, TacLetRecIn (lrc,intern_tactic ist u) | TacLetIn (l,u) -> let l = List.map (fun (n,c,b) -> (n,option_app (intern_tactic ist) c, intern_tacarg !strict_check ist b)) l in let (l1,l2) = ist.ltacvars in let ist' = { ist with ltacvars = ((extract_let_names l)@l1,l2) } in ist.ltacvars, TacLetIn (l,intern_tactic ist' u) | TacMatchContext (lr,lmr) -> ist.ltacvars, TacMatchContext(lr, intern_match_rule ist lmr) | TacMatch (c,lmr) -> ist.ltacvars, TacMatch (intern_tactic ist c,intern_match_rule ist lmr) | TacId _ as x -> ist.ltacvars, x | TacFail (n,x) -> ist.ltacvars, TacFail (intern_int_or_var ist n,x) | TacProgress tac -> ist.ltacvars, TacProgress (intern_tactic ist tac) | TacAbstract (tac,s) -> ist.ltacvars, TacAbstract (intern_tactic ist tac,s) | TacThen (t1,t2) -> let lfun', t1 = intern_tactic_seq ist t1 in let lfun'', t2 = intern_tactic_seq { ist with ltacvars = lfun' } t2 in lfun'', TacThen (t1,t2) | TacThens (t,tl) -> let lfun', t = intern_tactic_seq ist t in (* Que faire en cas de (tac complexe avec Match et Thens; tac2) ?? *) lfun', TacThens (t, List.map (intern_tactic { ist with ltacvars = lfun' }) tl) | TacDo (n,tac) -> ist.ltacvars, TacDo (intern_int_or_var ist n,intern_tactic ist tac) | TacTry tac -> ist.ltacvars, TacTry (intern_tactic ist tac) | TacInfo tac -> ist.ltacvars, TacInfo (intern_tactic ist tac) | TacRepeat tac -> ist.ltacvars, TacRepeat (intern_tactic ist tac) | TacOrelse (tac1,tac2) -> ist.ltacvars, TacOrelse (intern_tactic ist tac1,intern_tactic ist tac2) | TacFirst l -> ist.ltacvars, TacFirst (List.map (intern_tactic ist) l) | TacSolve l -> ist.ltacvars, TacSolve (List.map (intern_tactic ist) l) | TacArg a -> ist.ltacvars, TacArg (intern_tacarg true ist a) and intern_tactic_fun ist (var,body) = let (l1,l2) = ist.ltacvars in let lfun' = List.rev_append (filter_some var) l1 in (var,intern_tactic { ist with ltacvars = (lfun',l2) } body) and intern_tacarg strict ist = function | TacVoid -> TacVoid | Reference r -> intern_reference strict ist r | IntroPattern ipat -> let lf = ref([],[]) in (*How to know what names the intropattern binds?*) IntroPattern (intern_intro_pattern lf ist ipat) | Integer n -> Integer n | ConstrMayEval c -> ConstrMayEval (intern_constr_may_eval ist c) | MetaIdArg (loc,s) -> (* $id can occur in Grammar tactic... *) let id = id_of_string s in if find_ltacvar id ist or Options.do_translate() then Reference (ArgVar (adjust_loc loc,strip_meta id)) else error_syntactic_metavariables_not_allowed loc | TacCall (loc,f,l) -> TacCall (loc, intern_tactic_reference ist f, List.map (intern_tacarg !strict_check ist) l) | TacFreshId _ as x -> x | Tacexp t -> Tacexp (intern_tactic ist t) | TacDynamic(loc,t) as x -> (match tag t with | "tactic" | "value" | "constr" -> x | s -> anomaly_loc (loc, "", str "Unknown dynamic: <" ++ str s ++ str ">")) (* Reads the rules of a Match Context or a Match *) and intern_match_rule ist = function | (All tc)::tl -> All (intern_tactic ist tc) :: (intern_match_rule ist tl) | (Pat (rl,mp,tc))::tl -> let {ltacvars=(lfun,l2); gsigma=sigma; genv=env} = ist in let lfun',metas1,hyps = intern_match_context_hyps sigma env lfun rl in let ido,metas2,pat = intern_pattern sigma env lfun mp in let metas = list_uniquize (metas1@metas2) in let ist' = { ist with ltacvars = (metas@(option_cons ido lfun'),l2) } in Pat (hyps,pat,intern_tactic ist' tc) :: (intern_match_rule ist tl) | [] -> [] and intern_genarg ist x = match genarg_tag x with | BoolArgType -> in_gen globwit_bool (out_gen rawwit_bool x) | IntArgType -> in_gen globwit_int (out_gen rawwit_int x) | IntOrVarArgType -> in_gen globwit_int_or_var (intern_int_or_var ist (out_gen rawwit_int_or_var x)) | StringArgType -> in_gen globwit_string (out_gen rawwit_string x) | PreIdentArgType -> in_gen globwit_pre_ident (out_gen rawwit_pre_ident x) | IntroPatternArgType -> let lf = ref ([],[]) in (* how to know which names are bound by the intropattern *) in_gen globwit_intro_pattern (intern_intro_pattern lf ist (out_gen rawwit_intro_pattern x)) | IdentArgType -> let lf = ref ([],[]) in in_gen globwit_ident(intern_ident lf ist (out_gen rawwit_ident x)) | HypArgType -> in_gen globwit_var (intern_hyp ist (out_gen rawwit_var x)) | RefArgType -> in_gen globwit_ref (intern_global_reference ist (out_gen rawwit_ref x)) | SortArgType -> in_gen globwit_sort (out_gen rawwit_sort x) | ConstrArgType -> in_gen globwit_constr (intern_constr ist (out_gen rawwit_constr x)) | ConstrMayEvalArgType -> in_gen globwit_constr_may_eval (intern_constr_may_eval ist (out_gen rawwit_constr_may_eval x)) | QuantHypArgType -> in_gen globwit_quant_hyp (intern_quantified_hypothesis ist (out_gen rawwit_quant_hyp x)) | RedExprArgType -> in_gen globwit_red_expr (intern_redexp ist (out_gen rawwit_red_expr x)) | TacticArgType -> in_gen globwit_tactic (intern_tactic ist (out_gen rawwit_tactic x)) | OpenConstrArgType -> in_gen globwit_open_constr ((),intern_constr ist (snd (out_gen rawwit_open_constr x))) | CastedOpenConstrArgType -> in_gen globwit_casted_open_constr ((),intern_constr ist (snd (out_gen rawwit_casted_open_constr x))) | ConstrWithBindingsArgType -> in_gen globwit_constr_with_bindings (intern_constr_with_bindings ist (out_gen rawwit_constr_with_bindings x)) | BindingsArgType -> in_gen globwit_bindings (intern_bindings ist (out_gen rawwit_bindings x)) | List0ArgType _ -> app_list0 (intern_genarg ist) x | List1ArgType _ -> app_list1 (intern_genarg ist) x | OptArgType _ -> app_opt (intern_genarg ist) x | PairArgType _ -> app_pair (intern_genarg ist) (intern_genarg ist) x | ExtraArgType s -> lookup_genarg_glob s ist x (************* End globalization ************) (***************************************************************************) (* Evaluation/interpretation *) (* Associates variables with values and gives the remaining variables and values *) let head_with_value (lvar,lval) = let rec head_with_value_rec lacc = function | ([],[]) -> (lacc,[],[]) | (vr::tvr,ve::tve) -> (match vr with | None -> head_with_value_rec lacc (tvr,tve) | Some v -> head_with_value_rec ((v,ve)::lacc) (tvr,tve)) | (vr,[]) -> (lacc,vr,[]) | ([],ve) -> (lacc,[],ve) in head_with_value_rec [] (lvar,lval) (* Gives a context couple if there is a context identifier *) let give_context ctxt = function | None -> [] | Some id -> [id,VConstr_context ctxt] (* Reads a pattern by substituing vars of lfun *) let eval_pattern lfun c = let lvar = List.map (fun (id,c) -> (id,pattern_of_constr c)) lfun in instantiate_pattern lvar c let read_pattern evc env lfun = function | Subterm (ido,pc) -> Subterm (ido,eval_pattern lfun pc) | Term pc -> Term (eval_pattern lfun pc) (* Reads the hypotheses of a Match Context rule *) let cons_and_check_name id l = if List.mem id l then user_err_loc (loc,"read_match_context_hyps", str ("Hypothesis pattern-matching variable "^(string_of_id id)^ " used twice in the same pattern")) else id::l let rec read_match_context_hyps evc env lfun lidh = function | (Hyp ((loc,na) as locna,mp))::tl -> let lidh' = name_fold cons_and_check_name na lidh in Hyp (locna,read_pattern evc env lfun mp):: (read_match_context_hyps evc env lfun lidh' tl) | [] -> [] (* Reads the rules of a Match Context or a Match *) let rec read_match_rule evc env lfun = function | (All tc)::tl -> (All tc)::(read_match_rule evc env lfun tl) | (Pat (rl,mp,tc))::tl -> Pat (read_match_context_hyps evc env lfun [] rl, read_pattern evc env lfun mp,tc) ::(read_match_rule evc env lfun tl) | [] -> [] (* For Match Context and Match *) exception No_match exception Not_coherent_metas exception Eval_fail of string let is_failure = function | FailError _ | Stdpp.Exc_located (_,FailError _) -> true | _ -> false let is_match_catchable = function | No_match | Eval_fail _ -> true | e -> is_failure e or Logic.catchable_exception e let hack_fail_level_shift = ref 0 let hack_fail_level n = if n >= !hack_fail_level_shift then n - !hack_fail_level_shift else 0 (* Verifies if the matched list is coherent with respect to lcm *) let rec verify_metas_coherence gl lcm = function | (num,csr)::tl -> if (List.for_all (fun (a,b) -> a<>num or pf_conv_x gl b csr) lcm) then (num,csr)::(verify_metas_coherence gl lcm tl) else raise Not_coherent_metas | [] -> [] (* Tries to match a pattern and a constr *) let apply_matching pat csr = try (matches pat csr) with PatternMatchingFailure -> raise No_match (* Tries to match one hypothesis pattern with a list of hypotheses *) let apply_one_mhyp_context ist env gl lmatch (hypname,pat) (lhyps,nocc) = let get_id_couple id = function (* | Name idpat -> [idpat,VIdentifier id]*) | Name idpat -> [idpat,VConstr (mkVar id)] | Anonymous -> [] in let rec apply_one_mhyp_context_rec nocc = function | (id,hyp)::tl as hyps -> (match pat with | Term t -> (try let lmeta = verify_metas_coherence gl lmatch (matches t hyp) in (get_id_couple id hypname,lmeta,(id,hyp),(tl,0)) with | PatternMatchingFailure | Not_coherent_metas -> apply_one_mhyp_context_rec 0 tl) | Subterm (ic,t) -> (try let (lm,ctxt) = sub_match nocc t hyp in let lmeta = verify_metas_coherence gl lmatch lm in ((get_id_couple id hypname)@(give_context ctxt ic), lmeta,(id,hyp),(hyps,nocc + 1)) with | NextOccurrence _ -> apply_one_mhyp_context_rec 0 tl | Not_coherent_metas -> apply_one_mhyp_context_rec (nocc + 1) hyps)) | [] -> db_hyp_pattern_failure ist.debug env (hypname,pat); raise No_match in apply_one_mhyp_context_rec nocc lhyps let constr_to_id loc = function | VConstr c when isVar c -> destVar c | _ -> invalid_arg_loc (loc, "Not an identifier") let constr_to_qid loc c = try shortest_qualid_of_global Idset.empty (reference_of_constr c) with _ -> invalid_arg_loc (loc, "Not a global reference") (* Debug reference *) let debug = ref DebugOff (* Sets the debugger mode *) let set_debug pos = debug := pos (* Gives the state of debug *) let get_debug () = !debug (* Interprets an identifier which must be fresh *) let interp_ident ist id = try match List.assoc id ist.lfun with | VIntroPattern (IntroIdentifier id) -> id | VConstr c as v when isVar c -> (* This happends e.g. in definitions like "Tac H = Clear H; Intro H" *) (* c is then expected not to belong to the proof context *) (* would be checkable if env were known from interp_ident *) destVar c | _ -> user_err_loc(loc,"interp_ident", str "An ltac name (" ++ pr_id id ++ str ") should have been bound to an identifier") with Not_found -> id let interp_intro_pattern_var ist id = try match List.assoc id ist.lfun with | VIntroPattern ipat -> ipat | VConstr c as v when isVar c -> (* This happends e.g. in definitions like "Tac H = Clear H; Intro H" *) (* c is then expected not to belong to the proof context *) (* would be checkable if env were known from interp_ident *) IntroIdentifier (destVar c) | _ -> user_err_loc(loc,"interp_ident", str "An ltac name (" ++ pr_id id ++ str ") should have been bound to an introduction pattern") with Not_found -> IntroIdentifier id let interp_int lfun (loc,id) = try match List.assoc id lfun with | VInteger n -> n | _ -> user_err_loc(loc,"interp_int",str "should be bound to an integer") with Not_found -> user_err_loc (loc,"interp_int",str "Unbound variable") let interp_int_or_var ist = function | ArgVar locid -> interp_int ist.lfun locid | ArgArg n -> n let constr_of_value env = function | VConstr csr -> csr | VIntroPattern (IntroIdentifier id) -> constr_of_id env id | _ -> raise Not_found let is_variable env id = List.mem id (ids_of_named_context (Environ.named_context env)) let variable_of_value env = function | VConstr c as v when isVar c -> destVar c | VIntroPattern (IntroIdentifier id) when is_variable env id -> id | _ -> raise Not_found (* Extract a variable from a value, if any *) let id_of_Identifier = variable_of_value (* Extract a constr from a value, if any *) let constr_of_VConstr = constr_of_value (* Interprets an variable *) let interp_var ist gl (loc,id) = (* Look first in lfun for a value coercible to a variable *) try let v = List.assoc id ist.lfun in try variable_of_value (pf_env gl) v with Not_found -> errorlabstrm "coerce_to_variable" (str "Cannot coerce" ++ spc () ++ pr_value (pf_env gl) v ++ spc () ++ str "to a variable") with Not_found -> (* Then look if bound in the proof context at calling time *) if is_variable (pf_env gl) id then id else user_err_loc (loc,"eval_variable",pr_id id ++ str " not found") (* Interprets an existing hypothesis (i.e. a declared variable) *) let interp_hyp = interp_var let interp_name ist = function | Anonymous -> Anonymous | Name id -> Name (interp_ident ist id) let interp_clause_pattern ist gl (l,occl) = let rec check acc = function | (hyp,l) :: rest -> let hyp = interp_hyp ist gl hyp in if List.mem hyp acc then error ("Hypothesis "^(string_of_id hyp)^" occurs twice"); (hyp,l)::(check (hyp::acc) rest) | [] -> [] in (l,check [] occl) (* Interprets a qualified name *) let interp_reference ist env = function | ArgArg (_,r) -> r | ArgVar (loc,id) -> coerce_to_reference env (unrec (List.assoc id ist.lfun)) let pf_interp_reference ist gl = interp_reference ist (pf_env gl) let interp_inductive ist = function | ArgArg r -> r | ArgVar (_,id) -> coerce_to_inductive (unrec (List.assoc id ist.lfun)) let interp_evaluable ist env = function | ArgArg (r,Some (loc,id)) -> (* Maybe [id] has been introduced by Intro-like tactics *) (try match Environ.lookup_named id env with | (_,Some _,_) -> EvalVarRef id | _ -> error_not_evaluable (pr_id id) with Not_found -> match r with | EvalConstRef _ -> r | _ -> Pretype_errors.error_var_not_found_loc loc id) | ArgArg (r,None) -> r | ArgVar (_,id) -> coerce_to_evaluable_ref env (unrec (List.assoc id ist.lfun)) (* Interprets an hypothesis name *) let interp_hyp_location ist gl (id,occs,hl) = (interp_hyp ist gl id,occs,hl) let interp_clause ist gl { onhyps=ol; onconcl=b; concl_occs=occs } = { onhyps=option_app(List.map (interp_hyp_location ist gl)) ol; onconcl=b; concl_occs=occs } (* Interpretation of constructions *) (* Extract the constr list from lfun *) let rec constr_list_aux env = function | (id,v)::tl -> let (l1,l2) = constr_list_aux env tl in (try ((id,constr_of_value env v)::l1,l2) with Not_found -> let ido = match v with | VIntroPattern (IntroIdentifier id0) -> Some id0 | _ -> None in (l1,(id,ido)::l2)) | [] -> ([],[]) let constr_list ist env = constr_list_aux env ist.lfun (*Extract the identifier list from lfun: join all branches (what to do else?)*) let rec intropattern_ids = function | IntroIdentifier id -> [id] | IntroOrAndPattern ll -> List.flatten (List.map intropattern_ids (List.flatten ll)) | IntroWildcard -> [] let rec extract_ids = function | (id,VIntroPattern ipat)::tl -> intropattern_ids ipat @ extract_ids tl | _::tl -> extract_ids tl | [] -> [] let retype_list sigma env lst = List.fold_right (fun (x,csr) a -> try (x,Retyping.get_judgment_of env sigma csr)::a with | Anomaly _ -> a) lst [] let interp_casted_constr ocl ist sigma env (c,ce) = let (l1,l2) = constr_list ist env in let tl1 = retype_list sigma env l1 in let csr = match ce with | None -> Pretyping.understand_gen_ltac sigma env (tl1,l2) ocl c (* If at toplevel (ce<>None), the error can be due to an incorrect context at globalization time: we retype with the now known intros/lettac/inversion hypothesis names *) | Some c -> interp_constr_gen sigma env (l1,l2) c ocl in db_constr ist.debug env csr; csr let interp_constr ist sigma env c = interp_casted_constr None ist sigma env c (* Interprets an open constr expression casted by the current goal *) let pf_interp_openconstr_gen casted ist gl (c,ce) = let sigma = project gl in let env = pf_env gl in let (ltacvars,l) = constr_list ist env in let typs = retype_list sigma env ltacvars in let ocl = if casted then Some (pf_concl gl) else None in match ce with | None -> Pretyping.understand_gen_tcc sigma env typs ocl c (* If at toplevel (ce<>None), the error can be due to an incorrect context at globalization time: we retype with the now known intros/lettac/inversion hypothesis names *) | Some c -> interp_openconstr_gen sigma env (ltacvars,l) c ocl let pf_interp_casted_openconstr = pf_interp_openconstr_gen true let pf_interp_openconstr = pf_interp_openconstr_gen false (* Interprets a constr expression *) let pf_interp_constr ist gl = interp_constr ist (project gl) (pf_env gl) (* Interprets a constr expression casted by the current goal *) let pf_interp_casted_constr ist gl c = interp_casted_constr (Some(pf_concl gl)) ist (project gl) (pf_env gl) c (* Interprets a reduction expression *) let interp_unfold ist env (l,qid) = (l,interp_evaluable ist env qid) let interp_flag ist env red = { red with rConst = List.map (interp_evaluable ist env) red.rConst } let interp_pattern ist sigma env (l,c) = (l,interp_constr ist sigma env c) let pf_interp_pattern ist gl = interp_pattern ist (project gl) (pf_env gl) let redexp_interp ist sigma env = function | Unfold l -> Unfold (List.map (interp_unfold ist env) l) | Fold l -> Fold (List.map (interp_constr ist sigma env) l) | Cbv f -> Cbv (interp_flag ist env f) | Lazy f -> Lazy (interp_flag ist env f) | Pattern l -> Pattern (List.map (interp_pattern ist sigma env) l) | Simpl o -> Simpl (option_app (interp_pattern ist sigma env) o) | (Red _ | Hnf | ExtraRedExpr _ as r) -> r let pf_redexp_interp ist gl = redexp_interp ist (project gl) (pf_env gl) let interp_may_eval f ist gl = function | ConstrEval (r,c) -> let redexp = pf_redexp_interp ist gl r in pf_reduction_of_redexp gl redexp (f ist gl c) | ConstrContext ((loc,s),c) -> (try let ic = f ist gl c and ctxt = constr_of_VConstr_context (List.assoc s ist.lfun) in subst_meta [special_meta,ic] ctxt with | Not_found -> user_err_loc (loc, "interp_may_eval", str "Unbound context identifier" ++ pr_id s)) | ConstrTypeOf c -> pf_type_of gl (f ist gl c) | ConstrTerm c -> f ist gl c (* Interprets a constr expression possibly to first evaluate *) let interp_constr_may_eval ist gl c = let csr = interp_may_eval pf_interp_constr ist gl c in begin db_constr ist.debug (pf_env gl) csr; csr end let rec interp_intro_pattern ist = function | IntroOrAndPattern l -> IntroOrAndPattern (interp_case_intro_pattern ist l) | IntroWildcard -> IntroWildcard | IntroIdentifier id -> interp_intro_pattern_var ist id and interp_case_intro_pattern ist = List.map (List.map (interp_intro_pattern ist)) (* Quantified named or numbered hypothesis or hypothesis in context *) (* (as in Inversion) *) let interp_quantified_hypothesis ist = function | AnonHyp n -> AnonHyp n | NamedHyp id -> try match List.assoc id ist.lfun with | VInteger n -> AnonHyp n | VIntroPattern (IntroIdentifier id) -> NamedHyp id | _ -> raise Not_found with Not_found -> NamedHyp id (* Quantified named or numbered hypothesis or hypothesis in context *) (* (as in Inversion) *) let interp_declared_or_quantified_hypothesis ist gl = function | AnonHyp n -> AnonHyp n | NamedHyp id -> try match List.assoc id ist.lfun with | VInteger n -> AnonHyp n | v -> NamedHyp (variable_of_value (pf_env gl) v) with Not_found -> NamedHyp id let interp_induction_arg ist gl = function | ElimOnConstr c -> ElimOnConstr (pf_interp_constr ist gl c) | ElimOnAnonHyp n as x -> x | ElimOnIdent (loc,id) -> if Tactics.is_quantified_hypothesis id gl then ElimOnIdent (loc,id) else ElimOnConstr (pf_interp_constr ist gl (RVar (loc,id),Some (CRef (Ident (loc,id))))) let interp_binding ist gl (loc,b,c) = (loc,interp_quantified_hypothesis ist b,pf_interp_constr ist gl c) let interp_bindings ist gl = function | NoBindings -> NoBindings | ImplicitBindings l -> ImplicitBindings (List.map (pf_interp_constr ist gl) l) | ExplicitBindings l -> ExplicitBindings (List.map (interp_binding ist gl) l) let interp_constr_with_bindings ist gl (c,bl) = (pf_interp_constr ist gl c, interp_bindings ist gl bl) (* Interprets an l-tac expression into a value *) let rec val_interp ist gl (tac:glob_tactic_expr) = let value_interp ist = match tac with (* Immediate evaluation *) | TacFun (it,body) -> VFun (ist.lfun,it,body) | TacLetRecIn (lrc,u) -> letrec_interp ist gl lrc u | TacLetIn (l,u) -> let addlfun = interp_letin ist gl l in val_interp { ist with lfun=addlfun@ist.lfun } gl u | TacMatchContext (lr,lmr) -> interp_match_context ist gl lr lmr | TacMatch (c,lmr) -> interp_match ist gl c lmr | TacArg a -> interp_tacarg ist gl a (* Delayed evaluation *) | t -> VTactic (dummy_loc,eval_tactic ist t) in check_for_interrupt (); match ist.debug with | DebugOn lev -> debug_prompt lev gl tac (fun v -> value_interp {ist with debug=v}) | _ -> value_interp ist and eval_tactic ist = function | TacAtom (loc,t) -> fun gl -> catch_error loc (interp_atomic ist gl t) gl | TacFun (it,body) -> assert false | TacLetRecIn (lrc,u) -> assert false | TacLetIn (l,u) -> assert false | TacMatchContext _ -> assert false | TacMatch (c,lmr) -> assert false | TacId s -> tclIDTAC_MESSAGE s | TacFail (n,s) -> tclFAIL (hack_fail_level (interp_int_or_var ist n)) s | TacProgress tac -> tclPROGRESS (interp_tactic ist tac) | TacAbstract (tac,s) -> Tactics.tclABSTRACT s (interp_tactic ist tac) | TacThen (t1,t2) -> tclTHEN (interp_tactic ist t1) (interp_tactic ist t2) | TacThens (t,tl) -> tclTHENS (interp_tactic ist t) (List.map (interp_tactic ist) tl) | TacDo (n,tac) -> tclDO (interp_int_or_var ist n) (interp_tactic ist tac) | TacTry tac -> tclTRY (interp_tactic ist tac) | TacInfo tac -> tclINFO (interp_tactic ist tac) | TacRepeat tac -> tclREPEAT (interp_tactic ist tac) | TacOrelse (tac1,tac2) -> tclORELSE (interp_tactic ist tac1) (interp_tactic ist tac2) | TacFirst l -> tclFIRST (List.map (interp_tactic ist) l) | TacSolve l -> tclSOLVE (List.map (interp_tactic ist) l) | TacArg a -> assert false and interp_ltac_reference isapplied ist gl = function | ArgVar (loc,id) -> unrec (List.assoc id ist.lfun) | ArgArg (loc,r) -> let v = val_interp {lfun=[];debug=ist.debug} gl (lookup r) in if isapplied then v else locate_tactic_call loc v and interp_tacarg ist gl = function | TacVoid -> VVoid | Reference r -> interp_ltac_reference false ist gl r | Integer n -> VInteger n | IntroPattern ipat -> VIntroPattern ipat | ConstrMayEval c -> VConstr (interp_constr_may_eval ist gl c) | MetaIdArg (loc,id) -> assert false | TacCall (loc,f,l) -> let fv = interp_ltac_reference true ist gl f and largs = List.map (interp_tacarg ist gl) l in List.iter check_is_value largs; interp_app ist gl fv largs loc | TacFreshId idopt -> let s = match idopt with None -> "H" | Some s -> s in let id = Tactics.fresh_id (extract_ids ist.lfun) (id_of_string s) gl in VIntroPattern (IntroIdentifier id) | Tacexp t -> val_interp ist gl t | TacDynamic(_,t) -> let tg = (tag t) in if tg = "tactic" then let f = (tactic_out t) in val_interp ist gl (intern_tactic { ltacvars = (List.map fst ist.lfun,[]); ltacrecvars = []; gsigma = project gl; genv = pf_env gl } (f ist)) else if tg = "value" then value_out t else if tg = "constr" then VConstr (Pretyping.constr_out t) else anomaly_loc (loc, "Tacinterp.val_interp", (str "Unknown dynamic: <" ++ str (Dyn.tag t) ++ str ">")) (* Interprets an application node *) and interp_app ist gl fv largs loc = match fv with | VFun(olfun,var,body) -> let (newlfun,lvar,lval)=head_with_value (var,largs) in if lvar=[] then let v = val_interp { ist with lfun=newlfun@olfun } gl body in if lval=[] then locate_tactic_call loc v else interp_app ist gl v lval loc else VFun(newlfun@olfun,lvar,body) | _ -> user_err_loc (loc, "Tacinterp.interp_app", (str"Illegal tactic application")) (* Gives the tactic corresponding to the tactic value *) and tactic_of_value vle g = match vle with | VRTactic res -> res | VTactic (loc,tac) -> catch_error loc tac g | VFun _ -> error "A fully applied tactic is expected" | _ -> raise NotTactic (* Evaluation with FailError catching *) and eval_with_fail ist tac goal = try (match val_interp ist goal tac with | VTactic (loc,tac) -> VRTactic (catch_error loc tac goal) | a -> a) with | Stdpp.Exc_located (_,FailError (0,s)) | FailError (0,s) -> raise (Eval_fail s) | Stdpp.Exc_located (s',FailError (lvl,s)) -> raise (Stdpp.Exc_located (s',FailError (lvl - 1, s))) | FailError (lvl,s) -> raise (FailError (lvl - 1, s)) (* Interprets recursive expressions *) and letrec_interp ist gl lrc u = let lref = Array.to_list (Array.make (List.length lrc) (ref VVoid)) in let lenv = List.fold_right2 (fun ((loc,name),_) vref l -> (name,VRec vref)::l) lrc lref [] in let lve = List.map (fun ((loc,name),(var,body)) -> (name,VFun(lenv@ist.lfun,var,body))) lrc in begin List.iter2 (fun vref (_,ve) -> vref:=ve) lref lve; val_interp { ist with lfun=lve@ist.lfun } gl u end (* Interprets the clauses of a LetIn *) and interp_letin ist gl = function | [] -> [] | ((loc,id),None,t)::tl -> let v = interp_tacarg ist gl t in check_is_value v; (id,v):: (interp_letin ist gl tl) | ((loc,id),Some com,tce)::tl -> let env = pf_env gl in let typ = constr_of_value env (val_interp ist gl com) and v = interp_tacarg ist gl tce in let csr = try constr_of_value env v with Not_found -> try let t = tactic_of_value v in let ndc = Environ.named_context env in start_proof id IsLocal ndc typ (fun _ _ -> ()); by t; let (_,({const_entry_body = pft},_,_)) = cook_proof () in delete_proof (dummy_loc,id); pft with | NotTactic -> delete_proof (dummy_loc,id); errorlabstrm "Tacinterp.interp_letin" (str "Term or fully applied tactic expected in Let") in (id,VConstr (mkCast (csr,typ)))::(interp_letin ist gl tl) (* Interprets the Match Context expressions *) and interp_match_context ist g lr lmr = let rec apply_goal_sub ist env goal nocc (id,c) csr mt mhyps hyps = try let (lgoal,ctxt) = sub_match nocc c csr in let lctxt = give_context ctxt id in if mhyps = [] then let lgoal = List.map (fun (id,c) -> (id,VConstr c)) lgoal in eval_with_fail { ist with lfun=lgoal@lctxt@ist.lfun } mt goal else apply_hyps_context ist env goal mt lctxt lgoal mhyps hyps with | e when is_failure e -> raise e | NextOccurrence _ -> raise No_match | e when is_match_catchable e -> apply_goal_sub ist env goal (nocc + 1) (id,c) csr mt mhyps hyps in let rec apply_match_context ist env goal nrs lex lpt = begin if lex<>[] then db_pattern_rule ist.debug nrs (List.hd lex); match lpt with | (All t)::tl -> begin db_mc_pattern_success ist.debug; try eval_with_fail ist t goal with | e when is_failure e -> raise e | e when is_match_catchable e -> apply_match_context ist env goal (nrs+1) (List.tl lex) tl end | (Pat (mhyps,mgoal,mt))::tl -> let hyps = make_hyps (pf_hyps goal) in let hyps = if lr then List.rev hyps else hyps in let mhyps = List.rev mhyps (* Sens naturel *) in let concl = pf_concl goal in (match mgoal with | Term mg -> (try (let lgoal = apply_matching mg concl in begin db_matched_concl ist.debug (pf_env goal) concl; if mhyps = [] then begin db_mc_pattern_success ist.debug; let lgoal = List.map (fun (id,c) -> (id,VConstr c)) lgoal in eval_with_fail {ist with lfun=lgoal@ist.lfun} mt goal end else apply_hyps_context ist env goal mt [] lgoal mhyps hyps end) with | e when is_failure e -> raise e | e when is_match_catchable e -> begin (match e with | No_match -> db_matching_failure ist.debug | Eval_fail s -> db_eval_failure ist.debug s | _ -> db_logic_failure ist.debug e); apply_match_context ist env goal (nrs+1) (List.tl lex) tl end) | Subterm (id,mg) -> (try apply_goal_sub ist env goal 0 (id,mg) concl mt mhyps hyps with | e when is_failure e -> raise e | e when is_match_catchable e -> apply_match_context ist env goal (nrs+1) (List.tl lex) tl)) | _ -> errorlabstrm "Tacinterp.apply_match_context" (str "No matching clauses for match goal") (v 0 (str "No matching clauses for match goal" ++ (if ist.debug=DebugOff then fnl() ++ str "(use \"Debug On\" for more info)" else mt()))) end in let env = pf_env g in apply_match_context ist env g 0 lmr (read_match_rule (project g) env (fst (constr_list ist env)) lmr) (* Tries to match the hypotheses in a Match Context *) and apply_hyps_context ist env goal mt lctxt lgmatch mhyps hyps = let rec apply_hyps_context_rec lfun lmatch lhyps_rest current = function | Hyp ((_,hypname),mhyp)::tl as mhyps -> let (lids,lm,hyp_match,next) = apply_one_mhyp_context ist env goal lmatch (hypname,mhyp) current in db_matched_hyp ist.debug (pf_env goal) hyp_match hypname; begin try let nextlhyps = list_except hyp_match lhyps_rest in apply_hyps_context_rec (lfun@lids) (lmatch@lm) nextlhyps (nextlhyps,0) tl with | e when is_failure e -> raise e | e when is_match_catchable e -> apply_hyps_context_rec lfun lmatch lhyps_rest next mhyps end | [] -> let lmatch = List.map (fun (id,c) -> (id,VConstr c)) lmatch in db_mc_pattern_success ist.debug; eval_with_fail {ist with lfun=lmatch@lfun@ist.lfun} mt goal in apply_hyps_context_rec lctxt lgmatch hyps (hyps,0) mhyps (* Interprets extended tactic generic arguments *) and interp_genarg ist goal x = match genarg_tag x with | BoolArgType -> in_gen wit_bool (out_gen globwit_bool x) | IntArgType -> in_gen wit_int (out_gen globwit_int x) | IntOrVarArgType -> in_gen wit_int_or_var (ArgArg (interp_int_or_var ist (out_gen globwit_int_or_var x))) | StringArgType -> in_gen wit_string (out_gen globwit_string x) | PreIdentArgType -> in_gen wit_pre_ident (out_gen globwit_pre_ident x) | IntroPatternArgType -> in_gen wit_intro_pattern (interp_intro_pattern ist (out_gen globwit_intro_pattern x)) | IdentArgType -> in_gen wit_ident (interp_ident ist (out_gen globwit_ident x)) | HypArgType -> in_gen wit_var (mkVar (interp_hyp ist goal (out_gen globwit_var x))) | RefArgType -> in_gen wit_ref (pf_interp_reference ist goal (out_gen globwit_ref x)) | SortArgType -> in_gen wit_sort (destSort (pf_interp_constr ist goal (RSort (dummy_loc,out_gen globwit_sort x), None))) | ConstrArgType -> in_gen wit_constr (pf_interp_constr ist goal (out_gen globwit_constr x)) | ConstrMayEvalArgType -> in_gen wit_constr_may_eval (interp_constr_may_eval ist goal (out_gen globwit_constr_may_eval x)) | QuantHypArgType -> in_gen wit_quant_hyp (interp_declared_or_quantified_hypothesis ist goal (out_gen globwit_quant_hyp x)) | RedExprArgType -> in_gen wit_red_expr (pf_redexp_interp ist goal (out_gen globwit_red_expr x)) | TacticArgType -> in_gen wit_tactic (out_gen globwit_tactic x) | OpenConstrArgType -> in_gen wit_open_constr (pf_interp_openconstr ist goal (snd (out_gen globwit_open_constr x))) | CastedOpenConstrArgType -> in_gen wit_casted_open_constr (pf_interp_casted_openconstr ist goal (snd (out_gen globwit_casted_open_constr x))) | ConstrWithBindingsArgType -> in_gen wit_constr_with_bindings (interp_constr_with_bindings ist goal (out_gen globwit_constr_with_bindings x)) | BindingsArgType -> in_gen wit_bindings (interp_bindings ist goal (out_gen globwit_bindings x)) | List0ArgType _ -> app_list0 (interp_genarg ist goal) x | List1ArgType _ -> app_list1 (interp_genarg ist goal) x | OptArgType _ -> app_opt (interp_genarg ist goal) x | PairArgType _ -> app_pair (interp_genarg ist goal) (interp_genarg ist goal) x | ExtraArgType s -> lookup_interp_genarg s ist goal x (* Interprets the Match expressions *) and interp_match ist g constr lmr = let rec apply_sub_match ist nocc (id,c) csr mt = try let (lm,ctxt) = sub_match nocc c csr in let lctxt = give_context ctxt id in let lm = List.map (fun (id,c) -> (id,VConstr c)) lm in val_interp {ist with lfun=lm@lctxt@ist.lfun} g mt with | NextOccurrence _ -> raise No_match | e when is_match_catchable e -> apply_sub_match ist (nocc + 1) (id,c) csr mt in let rec apply_match ist csr = function | (All t)::_ -> (try val_interp ist g t with e when is_match_catchable e -> apply_match ist csr []) | (Pat ([],Term c,mt))::tl -> (try let lm = apply_matching c csr in let lm = List.map (fun (id,c) -> (id,VConstr c)) lm in val_interp { ist with lfun=lm@ist.lfun } g mt with e when is_match_catchable e -> apply_match ist csr tl) | (Pat ([],Subterm (id,c),mt))::tl -> (try apply_sub_match ist 0 (id,c) csr mt with | No_match -> apply_match ist csr tl) | _ -> errorlabstrm "Tacinterp.apply_match" (str "No matching clauses for match") in let env = pf_env g in let csr = try constr_of_value env (val_interp ist g constr) with Not_found -> errorlabstrm "Tacinterp.apply_match" (str "Argument of match does not evaluate to a term") in let ilr = read_match_rule (project g) env (fst (constr_list ist env)) lmr in try incr hack_fail_level_shift; let x = apply_match ist csr ilr in decr hack_fail_level_shift; x with e -> decr hack_fail_level_shift; raise e (* Interprets tactic expressions : returns a "tactic" *) and interp_tactic ist tac gl = try tactic_of_value (val_interp ist gl tac) gl with | NotTactic -> errorlabstrm "Tacinterp.interp_tactic" (str "Must be a command or must give a tactic value") (* Interprets a primitive tactic *) and interp_atomic ist gl = function (* Basic tactics *) | TacIntroPattern l -> h_intro_patterns (List.map (interp_intro_pattern ist) l) | TacIntrosUntil hyp -> h_intros_until (interp_quantified_hypothesis ist hyp) | TacIntroMove (ido,ido') -> h_intro_move (option_app (interp_ident ist) ido) (option_app (interp_hyp ist gl) ido') | TacAssumption -> h_assumption | TacExact c -> h_exact (pf_interp_casted_constr ist gl c) | TacApply cb -> h_apply (interp_constr_with_bindings ist gl cb) | TacElim (cb,cbo) -> h_elim (interp_constr_with_bindings ist gl cb) (option_app (interp_constr_with_bindings ist gl) cbo) | TacElimType c -> h_elim_type (pf_interp_constr ist gl c) | TacCase cb -> h_case (interp_constr_with_bindings ist gl cb) | TacCaseType c -> h_case_type (pf_interp_constr ist gl c) | TacFix (idopt,n) -> h_fix (option_app (interp_ident ist) idopt) n | TacMutualFix (id,n,l) -> let f (id,n,c) = (interp_ident ist id,n,pf_interp_constr ist gl c) in h_mutual_fix (interp_ident ist id) n (List.map f l) | TacCofix idopt -> h_cofix (option_app (interp_ident ist) idopt) | TacMutualCofix (id,l) -> let f (id,c) = (interp_ident ist id,pf_interp_constr ist gl c) in h_mutual_cofix (interp_ident ist id) (List.map f l) | TacCut c -> h_cut (pf_interp_constr ist gl c) | TacTrueCut (na,c) -> h_true_cut (interp_name ist na) (pf_interp_constr ist gl c) | TacForward (b,na,c) -> h_forward b (interp_name ist na) (pf_interp_constr ist gl c) | TacGeneralize cl -> h_generalize (List.map (pf_interp_constr ist gl) cl) | TacGeneralizeDep c -> h_generalize_dep (pf_interp_constr ist gl c) | TacLetTac (na,c,clp) -> let clp = interp_clause ist gl clp in h_let_tac (interp_name ist na) (pf_interp_constr ist gl c) clp | TacInstantiate (n,c,ido) -> h_instantiate n (pf_interp_constr ist gl c) (clause_app (interp_hyp_location ist gl) ido) (* Automation tactics *) | TacTrivial l -> Auto.h_trivial l | TacAuto (n, l) -> Auto.h_auto n l | TacAutoTDB n -> Dhyp.h_auto_tdb n | TacDestructHyp (b,id) -> Dhyp.h_destructHyp b (interp_hyp ist gl id) | TacDestructConcl -> Dhyp.h_destructConcl | TacSuperAuto (n,l,b1,b2) -> Auto.h_superauto n l b1 b2 | TacDAuto (n,p) -> Auto.h_dauto (n,p) (* Derived basic tactics *) | TacSimpleInduction (h,ids) -> let h = if !Options.v7 then interp_declared_or_quantified_hypothesis ist gl h else interp_quantified_hypothesis ist h in h_simple_induction (h,ids) | TacNewInduction (c,cbo,(ids,ids')) -> h_new_induction (interp_induction_arg ist gl c) (option_app (interp_constr_with_bindings ist gl) cbo) (option_app (interp_intro_pattern ist) ids,ids') | TacSimpleDestruct h -> h_simple_destruct (interp_quantified_hypothesis ist h) | TacNewDestruct (c,cbo,(ids,ids')) -> h_new_destruct (interp_induction_arg ist gl c) (option_app (interp_constr_with_bindings ist gl) cbo) (option_app (interp_intro_pattern ist) ids,ids') | TacDoubleInduction (h1,h2) -> let h1 = interp_quantified_hypothesis ist h1 in let h2 = interp_quantified_hypothesis ist h2 in Elim.h_double_induction h1 h2 | TacDecomposeAnd c -> Elim.h_decompose_and (pf_interp_constr ist gl c) | TacDecomposeOr c -> Elim.h_decompose_or (pf_interp_constr ist gl c) | TacDecompose (l,c) -> let l = List.map (interp_inductive ist) l in Elim.h_decompose l (pf_interp_constr ist gl c) | TacSpecialize (n,l) -> h_specialize n (interp_constr_with_bindings ist gl l) | TacLApply c -> h_lapply (pf_interp_constr ist gl c) (* Context management *) | TacClear l -> h_clear (List.map (interp_hyp ist gl) l) | TacClearBody l -> h_clear_body (List.map (interp_hyp ist gl) l) | TacMove (dep,id1,id2) -> h_move dep (interp_hyp ist gl id1) (interp_hyp ist gl id2) | TacRename (id1,id2) -> h_rename (interp_hyp ist gl id1) (interp_ident ist (snd id2)) (* Constructors *) | TacLeft bl -> h_left (interp_bindings ist gl bl) | TacRight bl -> h_right (interp_bindings ist gl bl) | TacSplit (_,bl) -> h_split (interp_bindings ist gl bl) | TacAnyConstructor t -> abstract_tactic (TacAnyConstructor t) (Tactics.any_constructor (option_app (interp_tactic ist) t)) | TacConstructor (n,bl) -> h_constructor (skip_metaid n) (interp_bindings ist gl bl) (* Conversion *) | TacReduce (r,cl) -> h_reduce (pf_redexp_interp ist gl r) (interp_clause ist gl cl) | TacChange (occl,c,cl) -> h_change (option_app (pf_interp_pattern ist gl) occl) (pf_interp_constr ist gl c) (interp_clause ist gl cl) (* Equivalence relations *) | TacReflexivity -> h_reflexivity | TacSymmetry c -> h_symmetry (interp_clause ist gl c) | TacTransitivity c -> h_transitivity (pf_interp_constr ist gl c) (* Equality and inversion *) | TacInversion (DepInversion (k,c,ids),hyp) -> Inv.dinv k (option_app (pf_interp_constr ist gl) c) (option_app (interp_intro_pattern ist) ids) (interp_declared_or_quantified_hypothesis ist gl hyp) | TacInversion (NonDepInversion (k,idl,ids),hyp) -> Inv.inv_clause k (option_app (interp_intro_pattern ist) ids) (List.map (interp_hyp ist gl) idl) (interp_declared_or_quantified_hypothesis ist gl hyp) | TacInversion (InversionUsing (c,idl),hyp) -> Leminv.lemInv_clause (interp_declared_or_quantified_hypothesis ist gl hyp) (pf_interp_constr ist gl c) (List.map (interp_hyp ist gl) idl) (* For extensions *) | TacExtend (loc,opn,l) -> fun gl -> vernac_tactic (opn,List.map (interp_genarg ist gl) l) gl | TacAlias (loc,_,l,(_,body)) -> fun gl -> let rec f x = match genarg_tag x with | IntArgType -> VInteger (out_gen globwit_int x) | IntOrVarArgType -> VInteger (interp_int_or_var ist (out_gen globwit_int_or_var x)) | PreIdentArgType -> failwith "pre-identifiers cannot be bound" | IntroPatternArgType -> VIntroPattern (out_gen globwit_intro_pattern x) | IdentArgType -> VIntroPattern (IntroIdentifier (out_gen globwit_ident x)) | HypArgType -> VConstr (mkVar (interp_var ist gl (out_gen globwit_var x))) | RefArgType -> VConstr (constr_of_reference (pf_interp_reference ist gl (out_gen globwit_ref x))) | SortArgType -> VConstr (mkSort (Pretyping.interp_sort (out_gen globwit_sort x))) | ConstrArgType -> VConstr (pf_interp_constr ist gl (out_gen globwit_constr x)) | ConstrMayEvalArgType -> VConstr (interp_constr_may_eval ist gl (out_gen globwit_constr_may_eval x)) | TacticArgType -> val_interp ist gl (out_gen globwit_tactic x) | StringArgType | BoolArgType | QuantHypArgType | RedExprArgType | OpenConstrArgType | CastedOpenConstrArgType | ConstrWithBindingsArgType | BindingsArgType | ExtraArgType _ | List0ArgType _ | List1ArgType _ | OptArgType _ | PairArgType _ -> error "This generic type is not supported in alias" in let lfun = (List.map (fun (x,c) -> (x,f c)) l)@ist.lfun in let v = locate_tactic_call loc (val_interp { ist with lfun=lfun } gl body) in tactic_of_value v gl (* Initial call for interpretation *) let interp_tac_gen lfun debug t gl = interp_tactic { lfun=lfun; debug=debug } (intern_tactic { ltacvars = (List.map fst lfun, []); ltacrecvars = []; gsigma = project gl; genv = pf_env gl } t) gl let eval_tactic t = interp_tactic { lfun=[]; debug=get_debug() } t let interp t = interp_tac_gen [] (get_debug()) t (* Hides interpretation for pretty-print *) let hide_interp t ot gl = let ist = { ltacvars = ([],[]); ltacrecvars = []; gsigma = project gl; genv = pf_env gl } in let te = intern_tactic ist t in let t = eval_tactic te in match ot with | None -> abstract_tactic_expr (TacArg (Tacexp te)) t gl | Some t' -> abstract_tactic_expr (TacArg (Tacexp te)) (tclTHEN t t') gl (***************************************************************************) (* Substitution at module closing time *) let subst_quantified_hypothesis _ x = x let subst_declared_or_quantified_hypothesis _ x = x let subst_inductive subst (kn,i) = (subst_kn subst kn,i) let subst_rawconstr subst (c,e) = assert (e=None); (* e<>None only for toplevel tactics *) (subst_raw subst c,None) let subst_binding subst (loc,b,c) = (loc,subst_quantified_hypothesis subst b,subst_rawconstr subst c) let subst_bindings subst = function | NoBindings -> NoBindings | ImplicitBindings l -> ImplicitBindings (List.map (subst_rawconstr subst) l) | ExplicitBindings l -> ExplicitBindings (List.map (subst_binding subst) l) let subst_raw_with_bindings subst (c,bl) = (subst_rawconstr subst c, subst_bindings subst bl) let subst_induction_arg subst = function | ElimOnConstr c -> ElimOnConstr (subst_rawconstr subst c) | ElimOnAnonHyp n as x -> x | ElimOnIdent id as x -> x let subst_evaluable_reference subst = function | EvalVarRef id -> EvalVarRef id | EvalConstRef kn -> EvalConstRef (subst_kn subst kn) let subst_and_short_name f (c,n) = assert (n=None); (* since tacdef are strictly globalized *) (f c,None) let subst_or_var f = function | ArgVar _ as x -> x | ArgArg (x) -> ArgArg (f x) let subst_located f (_loc,id) = (loc,f id) let subst_reference subst = subst_or_var (subst_located (subst_kn subst)) let subst_global_reference subst = subst_or_var (subst_located (subst_global subst)) let subst_evaluable subst = subst_or_var (subst_and_short_name (subst_evaluable_reference subst)) let subst_unfold subst (l,e) = (l,subst_evaluable subst e) let subst_flag subst red = { red with rConst = List.map (subst_evaluable subst) red.rConst } let subst_constr_occurrence subst (l,c) = (l,subst_rawconstr subst c) let subst_redexp subst = function | Unfold l -> Unfold (List.map (subst_unfold subst) l) | Fold l -> Fold (List.map (subst_rawconstr subst) l) | Cbv f -> Cbv (subst_flag subst f) | Lazy f -> Lazy (subst_flag subst f) | Pattern l -> Pattern (List.map (subst_constr_occurrence subst) l) | Simpl o -> Simpl (option_app (subst_constr_occurrence subst) o) | (Red _ | Hnf | ExtraRedExpr _ as r) -> r let subst_raw_may_eval subst = function | ConstrEval (r,c) -> ConstrEval (subst_redexp subst r,subst_rawconstr subst c) | ConstrContext (locid,c) -> ConstrContext (locid,subst_rawconstr subst c) | ConstrTypeOf c -> ConstrTypeOf (subst_rawconstr subst c) | ConstrTerm c -> ConstrTerm (subst_rawconstr subst c) let subst_match_pattern subst = function | Subterm (ido,pc) -> Subterm (ido,subst_pattern subst pc) | Term pc -> Term (subst_pattern subst pc) let rec subst_match_context_hyps subst = function | Hyp (locs,mp) :: tl -> Hyp (locs,subst_match_pattern subst mp) :: subst_match_context_hyps subst tl | [] -> [] let rec subst_atomic subst (t:glob_atomic_tactic_expr) = match t with (* Basic tactics *) | TacIntroPattern _ | TacIntrosUntil _ | TacIntroMove _ as x -> x | TacAssumption as x -> x | TacExact c -> TacExact (subst_rawconstr subst c) | TacApply cb -> TacApply (subst_raw_with_bindings subst cb) | TacElim (cb,cbo) -> TacElim (subst_raw_with_bindings subst cb, option_app (subst_raw_with_bindings subst) cbo) | TacElimType c -> TacElimType (subst_rawconstr subst c) | TacCase cb -> TacCase (subst_raw_with_bindings subst cb) | TacCaseType c -> TacCaseType (subst_rawconstr subst c) | TacFix (idopt,n) as x -> x | TacMutualFix (id,n,l) -> TacMutualFix(id,n,List.map (fun (id,n,c) -> (id,n,subst_rawconstr subst c)) l) | TacCofix idopt as x -> x | TacMutualCofix (id,l) -> TacMutualCofix (id, List.map (fun (id,c) -> (id,subst_rawconstr subst c)) l) | TacCut c -> TacCut (subst_rawconstr subst c) | TacTrueCut (ido,c) -> TacTrueCut (ido, subst_rawconstr subst c) | TacForward (b,na,c) -> TacForward (b,na,subst_rawconstr subst c) | TacGeneralize cl -> TacGeneralize (List.map (subst_rawconstr subst) cl) | TacGeneralizeDep c -> TacGeneralizeDep (subst_rawconstr subst c) | TacLetTac (id,c,clp) -> TacLetTac (id,subst_rawconstr subst c,clp) | TacInstantiate (n,c,ido) -> TacInstantiate (n,subst_rawconstr subst c,ido) (* Automation tactics *) | TacTrivial l -> TacTrivial l | TacAuto (n,l) -> TacAuto (n,l) | TacAutoTDB n -> TacAutoTDB n | TacDestructHyp (b,id) -> TacDestructHyp(b,id) | TacDestructConcl -> TacDestructConcl | TacSuperAuto (n,l,b1,b2) -> TacSuperAuto (n,l,b1,b2) | TacDAuto (n,p) -> TacDAuto (n,p) (* Derived basic tactics *) | TacSimpleInduction h as x -> x | TacNewInduction (c,cbo,ids) -> TacNewInduction (subst_induction_arg subst c, option_app (subst_raw_with_bindings subst) cbo, ids) | TacSimpleDestruct h as x -> x | TacNewDestruct (c,cbo,ids) -> TacNewDestruct (subst_induction_arg subst c, option_app (subst_raw_with_bindings subst) cbo, ids) | TacDoubleInduction (h1,h2) as x -> x | TacDecomposeAnd c -> TacDecomposeAnd (subst_rawconstr subst c) | TacDecomposeOr c -> TacDecomposeOr (subst_rawconstr subst c) | TacDecompose (l,c) -> let l = List.map (subst_or_var (subst_inductive subst)) l in TacDecompose (l,subst_rawconstr subst c) | TacSpecialize (n,l) -> TacSpecialize (n,subst_raw_with_bindings subst l) | TacLApply c -> TacLApply (subst_rawconstr subst c) (* Context management *) | TacClear l as x -> x | TacClearBody l as x -> x | TacMove (dep,id1,id2) as x -> x | TacRename (id1,id2) as x -> x (* Constructors *) | TacLeft bl -> TacLeft (subst_bindings subst bl) | TacRight bl -> TacRight (subst_bindings subst bl) | TacSplit (b,bl) -> TacSplit (b,subst_bindings subst bl) | TacAnyConstructor t -> TacAnyConstructor (option_app (subst_tactic subst) t) | TacConstructor (n,bl) -> TacConstructor (n, subst_bindings subst bl) (* Conversion *) | TacReduce (r,cl) -> TacReduce (subst_redexp subst r, cl) | TacChange (occl,c,cl) -> TacChange (option_app (subst_constr_occurrence subst) occl, subst_rawconstr subst c, cl) (* Equivalence relations *) | TacReflexivity | TacSymmetry _ as x -> x | TacTransitivity c -> TacTransitivity (subst_rawconstr subst c) (* Equality and inversion *) | TacInversion (DepInversion (k,c,l),hyp) -> TacInversion (DepInversion (k,option_app (subst_rawconstr subst) c,l),hyp) | TacInversion (NonDepInversion _,_) as x -> x | TacInversion (InversionUsing (c,cl),hyp) -> TacInversion (InversionUsing (subst_rawconstr subst c,cl),hyp) (* For extensions *) | TacExtend (_loc,opn,l) -> TacExtend (loc,opn,List.map (subst_genarg subst) l) | TacAlias (_,s,l,(dir,body)) -> TacAlias (loc,s,List.map (fun (id,a) -> (id,subst_genarg subst a)) l, (dir,subst_tactic subst body)) and subst_tactic subst (t:glob_tactic_expr) = match t with | TacAtom (_loc,t) -> TacAtom (loc, subst_atomic subst t) | TacFun tacfun -> TacFun (subst_tactic_fun subst tacfun) | TacLetRecIn (lrc,u) -> let lrc = List.map (fun (n,b) -> (n,subst_tactic_fun subst b)) lrc in TacLetRecIn (lrc,(subst_tactic subst u:glob_tactic_expr)) | TacLetIn (l,u) -> let l = List.map (fun (n,c,b) -> (n,option_app (subst_tactic subst) c,subst_tacarg subst b)) l in TacLetIn (l,subst_tactic subst u) | TacMatchContext (lr,lmr) -> TacMatchContext(lr, subst_match_rule subst lmr) | TacMatch (c,lmr) -> TacMatch (subst_tactic subst c,subst_match_rule subst lmr) | TacId _ | TacFail _ as x -> x | TacProgress tac -> TacProgress (subst_tactic subst tac:glob_tactic_expr) | TacAbstract (tac,s) -> TacAbstract (subst_tactic subst tac,s) | TacThen (t1,t2) -> TacThen (subst_tactic subst t1,subst_tactic subst t2) | TacThens (t,tl) -> TacThens (subst_tactic subst t, List.map (subst_tactic subst) tl) | TacDo (n,tac) -> TacDo (n,subst_tactic subst tac) | TacTry tac -> TacTry (subst_tactic subst tac) | TacInfo tac -> TacInfo (subst_tactic subst tac) | TacRepeat tac -> TacRepeat (subst_tactic subst tac) | TacOrelse (tac1,tac2) -> TacOrelse (subst_tactic subst tac1,subst_tactic subst tac2) | TacFirst l -> TacFirst (List.map (subst_tactic subst) l) | TacSolve l -> TacSolve (List.map (subst_tactic subst) l) | TacArg a -> TacArg (subst_tacarg subst a) and subst_tactic_fun subst (var,body) = (var,subst_tactic subst body) and subst_tacarg subst = function | Reference r -> Reference (subst_reference subst r) | ConstrMayEval c -> ConstrMayEval (subst_raw_may_eval subst c) | MetaIdArg (_loc,_) -> assert false | TacCall (_loc,f,l) -> TacCall (_loc, subst_reference subst f, List.map (subst_tacarg subst) l) | (TacVoid | IntroPattern _ | Integer _ | TacFreshId _) as x -> x | Tacexp t -> Tacexp (subst_tactic subst t) | TacDynamic(_,t) as x -> (match tag t with | "tactic" | "value" | "constr" -> x | s -> anomaly_loc (loc, "Tacinterp.val_interp", str "Unknown dynamic: <" ++ str s ++ str ">")) (* Reads the rules of a Match Context or a Match *) and subst_match_rule subst = function | (All tc)::tl -> (All (subst_tactic subst tc))::(subst_match_rule subst tl) | (Pat (rl,mp,tc))::tl -> let hyps = subst_match_context_hyps subst rl in let pat = subst_match_pattern subst mp in Pat (hyps,pat,subst_tactic subst tc) ::(subst_match_rule subst tl) | [] -> [] and subst_genarg subst (x:glob_generic_argument) = match genarg_tag x with | BoolArgType -> in_gen globwit_bool (out_gen globwit_bool x) | IntArgType -> in_gen globwit_int (out_gen globwit_int x) | IntOrVarArgType -> in_gen globwit_int_or_var (out_gen globwit_int_or_var x) | StringArgType -> in_gen globwit_string (out_gen globwit_string x) | PreIdentArgType -> in_gen globwit_pre_ident (out_gen globwit_pre_ident x) | IntroPatternArgType -> in_gen globwit_intro_pattern (out_gen globwit_intro_pattern x) | IdentArgType -> in_gen globwit_ident (out_gen globwit_ident x) | HypArgType -> in_gen globwit_var (out_gen globwit_var x) | RefArgType -> in_gen globwit_ref (subst_global_reference subst (out_gen globwit_ref x)) | SortArgType -> in_gen globwit_sort (out_gen globwit_sort x) | ConstrArgType -> in_gen globwit_constr (subst_rawconstr subst (out_gen globwit_constr x)) | ConstrMayEvalArgType -> in_gen globwit_constr_may_eval (subst_raw_may_eval subst (out_gen globwit_constr_may_eval x)) | QuantHypArgType -> in_gen globwit_quant_hyp (subst_declared_or_quantified_hypothesis subst (out_gen globwit_quant_hyp x)) | RedExprArgType -> in_gen globwit_red_expr (subst_redexp subst (out_gen globwit_red_expr x)) | TacticArgType -> in_gen globwit_tactic (subst_tactic subst (out_gen globwit_tactic x)) | OpenConstrArgType -> in_gen globwit_open_constr ((),subst_rawconstr subst (snd (out_gen globwit_open_constr x))) | CastedOpenConstrArgType -> in_gen globwit_casted_open_constr ((),subst_rawconstr subst (snd (out_gen globwit_casted_open_constr x))) | ConstrWithBindingsArgType -> in_gen globwit_constr_with_bindings (subst_raw_with_bindings subst (out_gen globwit_constr_with_bindings x)) | BindingsArgType -> in_gen globwit_bindings (subst_bindings subst (out_gen globwit_bindings x)) | List0ArgType _ -> app_list0 (subst_genarg subst) x | List1ArgType _ -> app_list1 (subst_genarg subst) x | OptArgType _ -> app_opt (subst_genarg subst) x | PairArgType _ -> app_pair (subst_genarg subst) (subst_genarg subst) x | ExtraArgType s -> lookup_genarg_subst s subst x (***************************************************************************) (* Tactic registration *) (* For bad tactic calls *) let bad_tactic_args s = anomalylabstrm s (str "Tactic " ++ str s ++ str " called with bad arguments") (* Declaration of the TAC-DEFINITION object *) let add (kn,td) = mactab := Gmap.add kn td !mactab let load_md i ((sp,kn),defs) = let dp,_ = repr_path sp in let mp,dir,_ = repr_kn kn in List.iter (fun (id,t) -> let sp = Libnames.make_path dp id in let kn = Names.make_kn mp dir (label_of_id id) in Nametab.push_tactic (Until i) sp kn; add (kn,t)) defs let open_md i((sp,kn),defs) = let dp,_ = repr_path sp in let mp,dir,_ = repr_kn kn in List.iter (fun (id,t) -> let sp = Libnames.make_path dp id in let kn = Names.make_kn mp dir (label_of_id id) in Nametab.push_tactic (Exactly i) sp kn) defs let cache_md x = load_md 1 x let subst_md (_,subst,defs) = List.map (fun (id,t) -> (id,subst_tactic subst t)) defs let (inMD,outMD) = declare_object {(default_object "TAC-DEFINITION") with cache_function = cache_md; load_function = load_md; open_function = open_md; subst_function = subst_md; classify_function = (fun (_,o) -> Substitute o); export_function = (fun x -> Some x)} (* Adds a definition for tactics in the table *) let make_absolute_name (loc,id) = let kn = Lib.make_kn id in if Gmap.mem kn !mactab or is_atomic_kn kn then user_err_loc (loc,"Tacinterp.add_tacdef", str "There is already an Ltac named " ++ pr_id id); kn let make_empty_glob_sign () = { ltacvars = ([],[]); ltacrecvars = []; gsigma = Evd.empty; genv = Global.env() } let add_tacdef isrec tacl = (* let isrec = if !Options.p1 then isrec else true in*) let rfun = List.map (fun ((loc,id as locid),_) -> (id,make_absolute_name locid)) tacl in let ist = {(make_empty_glob_sign()) with ltacrecvars = if isrec then rfun else []} in let gtacl = List.map (fun ((_,id),def) -> (id,Options.with_option strict_check (intern_tactic ist) def)) tacl in let id0 = fst (List.hd rfun) in let _ = Lib.add_leaf id0 (inMD gtacl) in List.iter (fun (id,_) -> Options.if_verbose msgnl (pr_id id ++ str " is defined")) rfun (***************************************************************************) (* Other entry points *) let glob_tactic x = intern_tactic (make_empty_glob_sign ()) x let glob_tactic_env l env x = intern_tactic { ltacvars = (l,[]); ltacrecvars = []; gsigma = Evd.empty; genv = env } x let interp_redexp env evc r = let ist = { lfun=[]; debug=get_debug () } in let gist = {(make_empty_glob_sign ()) with genv = env; gsigma = evc } in redexp_interp ist evc env (intern_redexp gist r) (***************************************************************************) (* Backwarding recursive needs of tactic glob/interp/eval functions *) let _ = Auto.set_extern_interp (fun l -> let l = List.map (fun (id,c) -> (id,VConstr c)) l in interp_tactic {lfun=l;debug=get_debug()}) let _ = Auto.set_extern_intern_tac (fun l -> Options.with_option strict_check (intern_tactic {(make_empty_glob_sign()) with ltacvars=(l,[])})) let _ = Auto.set_extern_subst_tactic subst_tactic let _ = Dhyp.set_extern_interp eval_tactic let _ = Dhyp.set_extern_intern_tac (fun t -> intern_tactic (make_empty_glob_sign()) t)