path: root/tactics/tacinterp.ml

(************************************************************************)
(*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
(* <O___,, *   INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2010     *)
(*   \VV/  **************************************************************)
(*    //   *      This file is distributed under the terms of the       *)
(*         *       GNU Lesser General Public License Version 2.1        *)
(************************************************************************)

open Constrintern
open Closure
open RedFlags
open Declarations
open Entries
open Libobject
open Pattern
open Matching
open Pp
open Glob_term
open Sign
open Tacred
open Errors
open Util
open Names
open Nameops
open Libnames
open Nametab
open Smartlocate
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 Pretyping
open Pretyping.Default
open Extrawit
open Pcoq
open Compat
open Evd

let safe_msgnl s =
    try msgnl s with e ->
      msgnl
	(str "bug in the debugger: " ++
         str "an exception is raised while printing debug information")

let error_syntactic_metavariables_not_allowed loc =
  user_err_loc
    (loc,"out_ident",
     str "Syntactic metavariables allowed only in quotations.")

let error_tactic_expected loc =
  user_err_loc (loc,"",str "Tactic expected.")

let error_global_not_found_loc (loc,qid) = error_global_not_found_loc loc qid

let skip_metaid = function
  | AI x -> x
  | MetaId (loc,_) -> error_syntactic_metavariables_not_allowed loc

(* Values for interpretation *)
type value =
  | VRTactic of (goal list sigma) (* For Match results *)
                                               (* Not a true value *)
  | VFun of ltac_trace * (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_under_binders
                        (* includes idents known to be bound and references *)
  | VConstr_context of constr
  | VList of value list
  | VRec of (identifier*value) list ref * glob_tactic_expr

let dloc = dummy_loc

let catch_error call_trace tac g =
  if call_trace = [] then tac g else try tac g with
  | LtacLocated _ as e -> raise e
  | Loc.Exc_located (_,LtacLocated _) as e -> raise e
  | e ->
    let (nrep,loc',c),tail = list_sep_last call_trace in
    let loc,e' = match e with Loc.Exc_located(loc,e) -> loc,e | _ ->dloc,e in
    if tail = [] then
      let loc = if loc = dloc then loc' else loc in
      raise (Loc.Exc_located(loc,e'))
    else
      raise (Loc.Exc_located(loc',LtacLocated((nrep,c,tail,loc),e')))

(* Signature for interpretation: val_interp and interpretation functions *)
type interp_sign =
    { lfun : (identifier * value) list;
      avoid_ids : identifier list; (* ids inherited from the call context
				      (needed to get fresh ids) *)
      debug : debug_info;
      trace : ltac_trace }

let check_is_value = function
  | VRTactic _ -> (* These are goals produced by Match *)
   error "Immediate match producing tactics not allowed in local definitions."
  | _ -> ()

(* 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 rec pr_value env = function
  | VVoid -> str "()"
  | VInteger n -> int n
  | VIntroPattern ipat -> pr_intro_pattern (dloc,ipat)
  | VConstr c ->
      (match env with Some env ->
	pr_lconstr_under_binders_env env c | _ -> str "a term")
  | VConstr_context c ->
      (match env with Some env -> pr_lconstr_env env c | _ -> str "a term")
  | (VRTactic _ | VFun _ | VRec _) -> str "a tactic"
  | VList [] -> str "an empty list"
  | VList (a::_) ->
      str "a list (first element is " ++ pr_value env a ++ str")"

(* Transforms an id into a constr if possible, or fails with Not_found *)
let constr_of_id env id =
  Term.mkVar (let _ = Environ.lookup_named id env in id)

(* To embed tactics *)
let ((tactic_in : (interp_sign -> glob_tactic_expr) -> Dyn.t),
     (tactic_out : Dyn.t -> (interp_sign -> glob_tactic_expr))) =
  Dyn.create "tactic"

let ((value_in : value -> Dyn.t),
     (value_out : Dyn.t -> value)) = Dyn.create "value"

let valueIn t = TacDynamic (dummy_loc,value_in t)
let valueOut = function
  | TacDynamic (_,d) ->
    if (Dyn.tag d) = "value" then
      value_out d
    else
      anomalylabstrm "valueOut" (str "Dynamic tag should be value")
  | ast ->
    anomalylabstrm "valueOut" (str "Not a Dynamic ast: ")

(* Table of "pervasives" macros tactics (e.g. auto, simpl, etc.) *)
let atomic_mactab = ref Idmap.empty
let add_primitive_tactic s tac =
  let id = id_of_string s in
  atomic_mactab := Idmap.add id tac !atomic_mactab

let _ =
  let nocl = {onhyps=Some[];concl_occs=all_occurrences_expr} in
  List.iter
      (fun (s,t) -> add_primitive_tactic s (TacAtom(dloc,t)))
      [ "red", TacReduce(Red false,nocl);
        "hnf", TacReduce(Hnf,nocl);
        "simpl", TacReduce(Simpl None,nocl);
        "compute", TacReduce(Cbv all_flags,nocl);
        "intro", TacIntroMove(None,no_move);
        "intros", TacIntroPattern [];
        "assumption", TacAssumption;
        "cofix", TacCofix None;
        "trivial", TacTrivial ([],None);
        "auto", TacAuto(None,[],None);
        "left", TacLeft(false,NoBindings);
        "eleft", TacLeft(true,NoBindings);
        "right", TacRight(false,NoBindings);
        "eright", TacRight(true,NoBindings);
        "split", TacSplit(false,false,[NoBindings]);
        "esplit", TacSplit(true,false,[NoBindings]);
        "constructor", TacAnyConstructor (false,None);
        "econstructor", TacAnyConstructor (true,None);
        "reflexivity", TacReflexivity;
        "symmetry", TacSymmetry nocl
      ];
  List.iter
      (fun (s,t) -> add_primitive_tactic s t)
      [ "idtac",TacId [];
        "fail", TacFail(ArgArg 0,[]);
        "fresh", TacArg(dloc,TacFreshId [])
      ]

let lookup_atomic id = Idmap.find id !atomic_mactab
let is_atomic_kn kn =
  let (_,_,l) = repr_kn kn in
  Idmap.mem (id_of_label l) !atomic_mactab

(* 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 }

(* Tactics table (TacExtend). *)

let tac_tab = Hashtbl.create 17

let add_tactic s t =
  if Hashtbl.mem tac_tab s then
    errorlabstrm ("Refiner.add_tactic: ")
      (str ("Cannot redeclare tactic "^s^"."));
  Hashtbl.add tac_tab s t

let overwriting_add_tactic s t =
  if Hashtbl.mem tac_tab s then begin
    Hashtbl.remove tac_tab s;
    warning ("Overwriting definition of tactic "^s)
  end;
  Hashtbl.add tac_tab s t

let lookup_tactic s =
  try
    Hashtbl.find tac_tab s
  with Not_found ->
    errorlabstrm "Refiner.lookup_tactic"
      (str"The tactic " ++ str s ++ str" is not installed.")
(*
let vernac_tactic (s,args) =
  let tacfun = lookup_tactic s args in
  abstract_extended_tactic s args tacfun
*)
(* 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 ->
    typed_generic_argument) *
  (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 ->
    let msg = "No interpretation function found for entry " ^ id in
    warning msg;
    let f = (fun _ _ -> failwith msg), (fun _ _ _ -> failwith msg), (fun _ a -> a) in
    add_interp_genarg id f;
    f


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

let push_trace (loc,ck) = function
  | (n,loc',ck')::trl when ck=ck' -> (n+1,loc,ck)::trl
  | trl -> (1,loc,ck)::trl

let propagate_trace ist loc id = function
  | VFun (_,lfun,it,b) ->
      let t = if it=[] then b else TacFun (it,b) in
      VFun (push_trace(loc,LtacVarCall (id,t)) ist.trace,lfun,it,b)
  | x -> x

(* Dynamically check that an argument is a tactic *)
let coerce_to_tactic loc id = function
  | VFun _ | VRTactic _ as a -> a
  | _ -> user_err_loc
  (loc, "", str "Variable " ++ pr_id id ++ str " should be bound to a tactic.")

(*****************)
(* Globalization *)
(*****************)

(* We have identifier <| global_reference <| constr *)

let find_ident id ist =
  List.mem id (fst ist.ltacvars) or
  List.mem id (ids_of_named_context (Environ.named_context ist.genv))

let find_recvar qid ist = List.assoc qid ist.ltacrecvars

(* a "var" is a ltac var or a var introduced by an intro tactic *)
let find_var id ist = List.mem id (fst ist.ltacvars)

(* a "ctxvar" is a var introduced by an intro tactic (Intro/LetTac/...) *)
let find_ctxvar id ist = List.mem id (snd ist.ltacvars)

(* a "ltacvar" is an ltac var (Let-In/Fun/...) *)
let find_ltacvar id ist = find_var id ist & not (find_ctxvar id ist)

let find_hyp id ist =
  List.mem id (ids_of_named_context (Environ.named_context ist.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 strict_check = ref false

let adjust_loc loc = if !strict_check then dloc else loc

(* Globalize a name which must be bound -- actually just check it is bound *)
let intern_hyp ist (loc,id as locid) =
  if not !strict_check then
    locid
  else if find_ident id ist then
    (dloc,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_or_var ist = function
  | ArgVar locid -> ArgVar (intern_hyp ist locid)
  | ArgArg _ as x -> x

let intern_inductive_or_by_notation = smart_global_inductive

let intern_inductive ist = function
  | AN (Ident (loc,id)) when find_var id ist -> ArgVar (loc,id)
  | r -> ArgArg (intern_inductive_or_by_notation r)

let intern_global_reference ist = function
  | Ident (loc,id) when find_var id ist -> ArgVar (loc,id)
  | r ->
      let loc,_ as lqid = qualid_of_reference r in
      try ArgArg (loc,locate_global_with_alias lqid)
      with Not_found ->
	error_global_not_found_loc lqid

let intern_ltac_variable ist = function
  | Ident (loc,id) ->
      if find_ltacvar id ist then
	(* A local variable of any type *)
	ArgVar (loc,id)
      else
      (* A recursive variable *)
      ArgArg (loc,find_recvar id ist)
  | _ ->
      raise Not_found

let intern_constr_reference strict ist = function
  | Ident (_,id) as r when not strict & find_hyp id ist ->
      GVar (dloc,id), Some (CRef r)
  | Ident (_,id) as r when find_ctxvar id ist ->
      GVar (dloc,id), if strict then None else Some (CRef r)
  | r ->
      let loc,_ as lqid = qualid_of_reference r in
      GRef (loc,locate_global_with_alias lqid), if strict then None else Some (CRef r)

let intern_move_location ist = function
  | MoveAfter id -> MoveAfter (intern_hyp_or_metaid ist id)
  | MoveBefore id -> MoveBefore (intern_hyp_or_metaid ist id)
  | MoveToEnd toleft as x -> x

(* Internalize an isolated reference in position of tactic *)

let intern_isolated_global_tactic_reference r =
  let (loc,qid) = qualid_of_reference r in
  try TacCall (loc,ArgArg (loc,locate_tactic qid),[])
  with Not_found ->
  match r with
  | Ident (_,id) -> Tacexp (lookup_atomic id)
  | _ -> raise Not_found

let intern_isolated_tactic_reference strict ist r =
  (* An ltac reference *)
  try Reference (intern_ltac_variable ist r)
  with Not_found ->
  (* A global tactic *)
  try intern_isolated_global_tactic_reference r
  with Not_found ->
  (* Tolerance for compatibility, allow not to use "constr:" *)
  try ConstrMayEval (ConstrTerm (intern_constr_reference strict ist r))
  with Not_found ->
  (* Reference not found *)
  error_global_not_found_loc (qualid_of_reference r)

(* Internalize an applied tactic reference *)

let intern_applied_global_tactic_reference r =
  let (loc,qid) = qualid_of_reference r in
  ArgArg (loc,locate_tactic qid)

let intern_applied_tactic_reference ist r =
  (* An ltac reference *)
  try intern_ltac_variable ist r
  with Not_found ->
  (* A global tactic *)
  try intern_applied_global_tactic_reference r
  with Not_found ->
  (* Reference not found *)
  error_global_not_found_loc (qualid_of_reference r)

(* Intern a reference parsed in a non-tactic entry *)

let intern_non_tactic_reference strict ist r =
  (* An ltac reference *)
  try Reference (intern_ltac_variable ist r)
  with Not_found ->
  (* A constr reference *)
  try ConstrMayEval (ConstrTerm (intern_constr_reference strict ist r))
  with Not_found ->
  (* Tolerance for compatibility, allow not to use "ltac:" *)
  try intern_isolated_global_tactic_reference r
  with Not_found ->
  (* By convention, use IntroIdentifier for unbound ident, when not in a def *)
  match r with
  | Ident (loc,id) when not strict -> IntroPattern (loc,IntroIdentifier id)
  | _ ->
  (* Reference not found *)
  error_global_not_found_loc (qualid_of_reference r)

let intern_message_token ist = function
  | (MsgString _ | MsgInt _ as x) -> x
  | MsgIdent id -> MsgIdent (intern_hyp_or_metaid ist id)

let intern_message ist = List.map (intern_message_token ist)

let rec intern_intro_pattern lf ist = function
  | loc, IntroOrAndPattern l ->
      loc, IntroOrAndPattern (intern_or_and_intro_pattern lf ist l)
  | loc, IntroIdentifier id ->
      loc, IntroIdentifier (intern_ident lf ist id)
  | loc, IntroFresh id ->
      loc, IntroFresh (intern_ident lf ist id)
  | loc, (IntroWildcard | IntroAnonymous | IntroRewrite _ | IntroForthcoming _)
      as x -> x

and intern_or_and_intro_pattern lf ist =
  List.map (List.map (intern_intro_pattern lf ist))

let intern_quantified_hypothesis ist = function
  | AnonHyp n -> AnonHyp n
  | NamedHyp id ->
      (* Uncomment to disallow "intros until n" in ltac when n is not bound *)
      NamedHyp ((*snd (intern_hyp ist (dloc,*)id(* ))*))

let intern_binding_name ist x =
  (* We use identifier both for variables and binding names *)
  (* Todo: consider the body of the lemma to which the binding refer
     and if a term w/o ltac vars, check the name is indeed quantified *)
  x

let intern_constr_gen allow_patvar isarity {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.intern_gen isarity ~allow_patvar ~ltacvars:(fst lfun,[]) sigma env) c
  in
  (c',if !strict_check then None else Some c)

let intern_constr = intern_constr_gen false false
let intern_type = intern_constr_gen false true

(* Globalize bindings *)
let intern_binding ist (loc,b,c) =
  (loc,intern_binding_name 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)

  (* TODO: catch ltac vars *)
let intern_induction_arg ist = function
  | ElimOnConstr c -> ElimOnConstr (intern_constr_with_bindings ist c)
  | ElimOnAnonHyp n as x -> x
  | ElimOnIdent (loc,id) ->
      if !strict_check then
	(* If in a defined tactic, no intros-until *)
	match intern_constr ist (CRef (Ident (dloc,id))) with
	| GVar (loc,id),_ -> ElimOnIdent (loc,id)
	| c -> ElimOnConstr (c,NoBindings)
      else
	ElimOnIdent (loc,id)

let short_name = function
  | AN (Ident (loc,id)) when not !strict_check -> Some (loc,id)
  | _ -> None

let intern_evaluable_global_reference ist r =
  let lqid = qualid_of_reference r in
  try evaluable_of_global_reference ist.genv (locate_global_with_alias lqid)
  with Not_found ->
  match r with
  | Ident (loc,id) when not !strict_check -> EvalVarRef id
  | _ -> error_global_not_found_loc lqid

let intern_evaluable_reference_or_by_notation ist = function
  | AN r -> intern_evaluable_global_reference ist r
  | ByNotation (loc,ntn,sc) ->
      evaluable_of_global_reference ist.genv
      (Notation.interp_notation_as_global_reference loc
        (function ConstRef _ | VarRef _ -> true | _ -> false) ntn sc)

(* Globalize a reduction expression *)
let intern_evaluable ist = function
  | AN (Ident (loc,id)) when find_ltacvar id ist -> ArgVar (loc,id)
  | AN (Ident (loc,id)) when not !strict_check & find_hyp id ist ->
      ArgArg (EvalVarRef id, Some (loc,id))
  | AN (Ident (loc,id)) when find_ctxvar id ist ->
      ArgArg (EvalVarRef id, if !strict_check then None else Some (loc,id))
  | r ->
      let e = intern_evaluable_reference_or_by_notation ist r in
      let na = short_name r in
      ArgArg (e,na)

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_with_occurrences ist (l,c) = (l,intern_constr ist c)

let intern_constr_pattern ist ltacvars pc =
  let metas,pat =
    Constrintern.intern_constr_pattern ist.gsigma ist.genv ~ltacvars pc in
  let c = intern_constr_gen true false ist pc in
  metas,(c,pat)

let intern_typed_pattern ist p =
  let dummy_pat = PRel 0 in
  (* we cannot ensure in non strict mode that the pattern is closed *)
  (* keeping a constr_expr copy is too complicated and we want anyway to *)
  (* type it, so we remember the pattern as a glob_constr only *)
  (intern_constr_gen true false ist p,dummy_pat)

let intern_typed_pattern_with_occurrences ist (l,p) =
  (l,intern_typed_pattern ist p)

let intern_red_expr 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_with_occurrences ist) l)
  | Simpl o -> Simpl (Option.map (intern_typed_pattern_with_occurrences ist) o)
  | CbvVm o -> CbvVm (Option.map (intern_typed_pattern_with_occurrences ist) o)
  | (Red _ | Hnf | ExtraRedExpr _ as r ) -> r

let intern_in_hyp_as ist lf (id,ipat) =
  (intern_hyp_or_metaid ist id, Option.map (intern_intro_pattern lf ist) ipat)

let intern_hyp_list ist = List.map (intern_hyp_or_metaid ist)

let intern_inversion_strength lf ist = function
  | NonDepInversion (k,idl,ids) ->
      NonDepInversion (k,intern_hyp_list ist idl,
      Option.map (intern_intro_pattern lf ist) ids)
  | DepInversion (k,copt,ids) ->
      DepInversion (k, Option.map (intern_constr ist) copt,
      Option.map (intern_intro_pattern lf ist) ids)
  | InversionUsing (c,idl) ->
      InversionUsing (intern_constr ist c, intern_hyp_list ist idl)

(* Interprets an hypothesis name *)
let intern_hyp_location ist (((b,occs),id),hl) =
  (((b,List.map (intern_or_var ist) occs),intern_hyp_or_metaid ist id), hl)

(* Reads a pattern *)
let intern_pattern ist ?(as_type=false) lfun = function
  | Subterm (b,ido,pc) ->
      let ltacvars = (lfun,[]) in
      let (metas,pc) = intern_constr_pattern ist ltacvars pc in
      ido, metas, Subterm (b,ido,pc)
  | Term pc ->
      let ltacvars = (lfun,[]) in
      let (metas,pc) = intern_constr_pattern ist ltacvars pc in
      None, metas, Term pc

let intern_constr_may_eval ist = function
  | ConstrEval (r,c) -> ConstrEval (intern_red_expr 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)

(* External tactics *)
let print_xml_term = ref (fun _ -> failwith "print_xml_term unset")
let declare_xml_printer f = print_xml_term := f

let internalise_tacarg ch = G_xml.parse_tactic_arg ch

let extern_tacarg ch env sigma = function
  | VConstr ([],c) -> !print_xml_term ch env sigma c
  | VRTactic _ | VFun _ | VVoid | VInteger _ | VConstr_context _
  | VIntroPattern _  | VRec _ | VList _ | VConstr _ ->
      error "Only externing of closed terms is implemented."

let extern_request ch req gl la =
  output_string ch "<REQUEST req=\""; output_string ch req;
  output_string ch "\">\n";
  List.iter (pf_apply (extern_tacarg ch) gl) la;
  output_string ch "</REQUEST>\n"

let value_of_ident id = VIntroPattern (IntroIdentifier id)

let extend_values_with_bindings (ln,lm) lfun =
  let lnames = List.map (fun (id,id') ->(id,value_of_ident id')) ln in
  let lmatch = List.map (fun (id,(ids,c)) -> (id,VConstr (ids,c))) lm in
  (* For compatibility, bound variables are visible only if no other
     binding of the same name exists *)
  lmatch@lfun@lnames

(* Reads the hypotheses of a "match goal" rule *)
let rec intern_match_goal_hyps ist lfun = function
  | (Hyp ((_,na) as locna,mp))::tl ->
      let ido, metas1, pat = intern_pattern ist ~as_type:true lfun mp in
      let lfun, metas2, hyps = intern_match_goal_hyps ist lfun tl in
      let lfun' = name_cons na (Option.List.cons ido lfun) in
      lfun', metas1@metas2, Hyp (locna,pat)::hyps
  | (Def ((_,na) as locna,mv,mp))::tl ->
      let ido, metas1, patv = intern_pattern ist ~as_type:false lfun mv in
      let ido', metas2, patt = intern_pattern ist ~as_type:true lfun mp in
      let lfun, metas3, hyps = intern_match_goal_hyps ist lfun tl in
      let lfun' = name_cons na (Option.List.cons ido' (Option.List.cons ido lfun)) in
      lfun', metas1@metas2@metas3, Def (locna,patv,patt)::hyps
  | [] -> lfun, [], []

(* Utilities *)
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; concl_occs=nl } ->
      { onhyps=None; concl_occs=nl }
  | { onhyps=Some l; concl_occs=nl } ->
      { onhyps=Some(List.map f l); 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,hto) ->
      TacIntroMove (Option.map (intern_ident lf ist) ido,
                    intern_move_location ist hto)
  | TacAssumption -> TacAssumption
  | TacExact c -> TacExact (intern_constr ist c)
  | TacExactNoCheck c -> TacExactNoCheck (intern_constr ist c)
  | TacVmCastNoCheck c -> TacVmCastNoCheck (intern_constr ist c)
  | TacApply (a,ev,cb,inhyp) ->
      TacApply (a,ev,List.map (intern_constr_with_bindings ist) cb,
                Option.map (intern_in_hyp_as ist lf) inhyp)
  | TacElim (ev,cb,cbo) ->
      TacElim (ev,intern_constr_with_bindings ist cb,
               Option.map (intern_constr_with_bindings ist) cbo)
  | TacElimType c -> TacElimType (intern_type ist c)
  | TacCase (ev,cb) -> TacCase (ev,intern_constr_with_bindings ist cb)
  | TacCaseType c -> TacCaseType (intern_type ist c)
  | TacFix (idopt,n) -> TacFix (Option.map (intern_ident lf ist) idopt,n)
  | TacMutualFix (b,id,n,l) ->
      let f (id,n,c) = (intern_ident lf ist id,n,intern_type ist c) in
      TacMutualFix (b,intern_ident lf ist id, n, List.map f l)
  | TacCofix idopt -> TacCofix (Option.map (intern_ident lf ist) idopt)
  | TacMutualCofix (b,id,l) ->
      let f (id,c) = (intern_ident lf ist id,intern_type ist c) in
      TacMutualCofix (b,intern_ident lf ist id, List.map f l)
  | TacCut c -> TacCut (intern_type ist c)
  | TacAssert (otac,ipat,c) ->
      TacAssert (Option.map (intern_pure_tactic ist) otac,
                 Option.map (intern_intro_pattern lf ist) ipat,
                 intern_constr_gen false (otac<>None) ist c)
  | TacGeneralize cl ->
      TacGeneralize (List.map (fun (c,na) ->
	               intern_constr_with_occurrences ist c,
                       intern_name lf ist na) cl)
  | TacGeneralizeDep c -> TacGeneralizeDep (intern_constr ist c)
  | TacLetTac (na,c,cls,b) ->
      let na = intern_name lf ist na in
      TacLetTac (na,intern_constr ist c,
                 (clause_app (intern_hyp_location ist) cls),b)

  (* Automation tactics *)
  | TacTrivial (lems,l) -> TacTrivial (List.map (intern_constr ist) lems,l)
  | TacAuto (n,lems,l) ->
      TacAuto (Option.map (intern_or_var ist) n,
        List.map (intern_constr ist) lems,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,lems) ->
      TacDAuto (Option.map (intern_or_var ist) n,p,
        List.map (intern_constr ist) lems)

  (* Derived basic tactics *)
  | TacSimpleInductionDestruct (isrec,h) ->
      TacSimpleInductionDestruct (isrec,intern_quantified_hypothesis ist h)
  | TacInductionDestruct (ev,isrec,(l,cls)) ->
      TacInductionDestruct (ev,isrec,(List.map (fun (lc,cbo,(ipato,ipats)) ->
	      (List.map (intern_induction_arg ist) lc,
               Option.map (intern_constr_with_bindings ist) cbo,
               (Option.map (intern_intro_pattern lf ist) ipato,
	        Option.map (intern_intro_pattern lf ist) ipats))) l,
               Option.map (clause_app (intern_hyp_location ist)) cls))
  | 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 (b,l) -> TacClear (b,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_move_location ist id2)
  | TacRename l ->
      TacRename (List.map (fun (id1,id2) ->
			     intern_hyp_or_metaid ist id1,
			     intern_hyp_or_metaid ist id2) l)
  | TacRevert l -> TacRevert (List.map (intern_hyp_or_metaid ist) l)

  (* Constructors *)
  | TacLeft (ev,bl) -> TacLeft (ev,intern_bindings ist bl)
  | TacRight (ev,bl) -> TacRight (ev,intern_bindings ist bl)
  | TacSplit (ev,b,bll) -> TacSplit (ev,b,List.map (intern_bindings ist) bll)
  | TacAnyConstructor (ev,t) -> TacAnyConstructor (ev,Option.map (intern_pure_tactic ist) t)
  | TacConstructor (ev,n,bl) -> TacConstructor (ev,intern_or_var ist n,intern_bindings ist bl)

  (* Conversion *)
  | TacReduce (r,cl) ->
      TacReduce (intern_red_expr ist r, clause_app (intern_hyp_location ist) cl)
  | TacChange (None,c,cl) ->
      TacChange (None,
        (if (cl.onhyps = None or cl.onhyps = Some []) &
	    (cl.concl_occs = all_occurrences_expr or
	     cl.concl_occs = no_occurrences_expr)
         then intern_type ist c else intern_constr ist c),
	clause_app (intern_hyp_location ist) cl)
  | TacChange (Some p,c,cl) ->
      TacChange (Some (intern_typed_pattern ist p),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 (Option.map (intern_constr ist) c)

  (* Equality and inversion *)
  | TacRewrite (ev,l,cl,by) ->
      TacRewrite
	(ev,
	List.map (fun (b,m,c) -> (b,m,intern_constr_with_bindings ist c)) l,
	clause_app (intern_hyp_location ist) cl,
	Option.map (intern_pure_tactic ist) by)
  | 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 l = List.map (fun (id,a) -> (id,intern_genarg ist a)) l in
      TacAlias (loc,s,l,(dir,body))

and intern_tactic onlytac ist tac = snd (intern_tactic_seq onlytac ist tac)

and intern_tactic_seq onlytac ist = function
  | 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)
  | TacLetIn (isrec,l,u) ->
      let (l1,l2) = ist.ltacvars in
      let ist' = { ist with ltacvars = (extract_let_names l @ l1, l2) } in
      let l = List.map (fun (n,b) ->
	  (n,intern_tacarg !strict_check false (if isrec then ist' else ist) b)) l in
      ist.ltacvars, TacLetIn (isrec,l,intern_tactic onlytac ist' u)

  | TacMatchGoal (lz,lr,lmr) ->
      ist.ltacvars, TacMatchGoal(lz,lr, intern_match_rule onlytac ist lmr)
  | TacMatch (lz,c,lmr) ->
      ist.ltacvars,
      TacMatch (lz,intern_tactic_or_tacarg ist c,intern_match_rule onlytac ist lmr)
  | TacId l -> ist.ltacvars, TacId (intern_message ist l)
  | TacFail (n,l) ->
      ist.ltacvars, TacFail (intern_or_var ist n,intern_message ist l)
  | TacProgress tac -> ist.ltacvars, TacProgress (intern_pure_tactic ist tac)
  | TacAbstract (tac,s) ->
      ist.ltacvars, TacAbstract (intern_pure_tactic ist tac,s)
  | TacThen (t1,[||],t2,[||]) ->
      let lfun', t1 = intern_tactic_seq onlytac ist t1 in
      let lfun'', t2 = intern_tactic_seq onlytac { ist with ltacvars = lfun' } t2 in
      lfun'', TacThen (t1,[||],t2,[||])
  | TacThen (t1,tf,t2,tl) ->
      let lfun', t1 = intern_tactic_seq onlytac ist t1 in
      let ist' = { ist with ltacvars = lfun' } in
      (* Que faire en cas de (tac complexe avec Match et Thens; tac2) ?? *)
      lfun', TacThen (t1,Array.map (intern_pure_tactic ist') tf,intern_pure_tactic ist' t2,
		       Array.map (intern_pure_tactic ist') tl)
  | TacThens (t,tl) ->
      let lfun', t = intern_tactic_seq true ist t in
      let ist' = { ist with ltacvars = lfun' } in
      (* Que faire en cas de (tac complexe avec Match et Thens; tac2) ?? *)
      lfun', TacThens (t, List.map (intern_pure_tactic ist') tl)
  | TacDo (n,tac) ->
      ist.ltacvars, TacDo (intern_or_var ist n,intern_pure_tactic ist tac)
  | TacTry tac -> ist.ltacvars, TacTry (intern_pure_tactic ist tac)
  | TacInfo tac -> ist.ltacvars, TacInfo (intern_pure_tactic ist tac)
  | TacRepeat tac -> ist.ltacvars, TacRepeat (intern_pure_tactic ist tac)
  | TacTimeout (n,tac) ->
      ist.ltacvars, TacTimeout (intern_or_var ist n,intern_tactic onlytac ist tac)
  | TacOrelse (tac1,tac2) ->
      ist.ltacvars, TacOrelse (intern_pure_tactic ist tac1,intern_pure_tactic ist tac2)
  | TacFirst l -> ist.ltacvars, TacFirst (List.map (intern_pure_tactic ist) l)
  | TacSolve l -> ist.ltacvars, TacSolve (List.map (intern_pure_tactic ist) l)
  | TacComplete tac -> ist.ltacvars, TacComplete (intern_pure_tactic ist tac)
  | TacArg (loc,a) -> ist.ltacvars, intern_tactic_as_arg loc onlytac ist a

and intern_tactic_as_arg loc onlytac ist a =
  match intern_tacarg !strict_check onlytac ist a with
  | TacCall _ | TacExternal _ | Reference _ | TacDynamic _ as a -> TacArg (loc,a)
  | Tacexp a -> a
  | TacVoid | IntroPattern _ | Integer _
  | ConstrMayEval _ | TacFreshId _ as a ->
      if onlytac then error_tactic_expected loc else TacArg (loc,a)
  | MetaIdArg _ -> assert false

and intern_tactic_or_tacarg ist = intern_tactic false ist

and intern_pure_tactic ist = intern_tactic true ist

and intern_tactic_fun ist (var,body) =
  let (l1,l2) = ist.ltacvars in
  let lfun' = List.rev_append (Option.List.flatten var) l1 in
  (var,intern_tactic_or_tacarg { ist with ltacvars = (lfun',l2) } body)

and intern_tacarg strict onlytac ist = function
  | TacVoid -> TacVoid
  | Reference r -> intern_non_tactic_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,istac,s) ->
      (* $id can occur in Grammar tactic... *)
      let id = id_of_string s in
      if find_ltacvar id ist then
	if istac then Reference (ArgVar (adjust_loc loc,id))
	else ConstrMayEval (ConstrTerm (GVar (adjust_loc loc,id), None))
      else error_syntactic_metavariables_not_allowed loc
  | TacCall (loc,f,[]) -> intern_isolated_tactic_reference strict ist f
  | TacCall (loc,f,l) ->
      TacCall (loc,
        intern_applied_tactic_reference ist f,
        List.map (intern_tacarg !strict_check false ist) l)
  | TacExternal (loc,com,req,la) ->
      TacExternal (loc,com,req,List.map (intern_tacarg !strict_check false ist) la)
  | TacFreshId x -> TacFreshId (List.map (intern_or_var ist) x)
  | Tacexp t -> Tacexp (intern_tactic onlytac ist t)
  | TacDynamic(loc,t) as x ->
      (match Dyn.tag t with
	| "tactic" | "value" -> x
        | "constr" -> if onlytac then error_tactic_expected loc else 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 onlytac ist = function
  | (All tc)::tl ->
      All (intern_tactic onlytac ist tc) :: (intern_match_rule onlytac ist tl)
  | (Pat (rl,mp,tc))::tl ->
      let {ltacvars=(lfun,l2); gsigma=sigma; genv=env} = ist in
      let lfun',metas1,hyps = intern_match_goal_hyps ist lfun rl in
      let ido,metas2,pat = intern_pattern ist lfun mp in
      let metas = list_uniquize (metas1@metas2) in
      let ist' = { ist with ltacvars = (metas@(Option.List.cons ido lfun'),l2) } in
      Pat (hyps,pat,intern_tactic onlytac ist' tc) :: (intern_match_rule onlytac 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_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 b ->
      let lf = ref ([],[]) in
      in_gen (globwit_ident_gen b)
	(intern_ident lf ist (out_gen (rawwit_ident_gen b) x))
  | VarArgType ->
      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_red_expr ist (out_gen rawwit_red_expr x))
  | OpenConstrArgType b ->
      in_gen (globwit_open_constr_gen b)
        ((),intern_constr ist (snd (out_gen (rawwit_open_constr_gen b) 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 ->
      match tactic_genarg_level s with
      | Some n ->
          (* Special treatment of tactic arguments *)
          in_gen (globwit_tactic n) (intern_tactic_or_tacarg ist
	    (out_gen (rawwit_tactic n) x))
      | None ->
          lookup_genarg_glob s ist x

(************* End globalization ************)

(***************************************************************************)
(* Evaluation/interpretation *)

let is_variable env id =
  List.mem id (ids_of_named_context (Environ.named_context env))

(* 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

let debugging_step ist pp =
  match ist.debug with
  | DebugOn lev ->
      safe_msgnl (str "Level " ++ int lev ++ str": " ++ pp () ++ fnl())
  | _ -> ()

let debugging_exception_step ist signal_anomaly e pp =
  let explain_exc =
    if signal_anomaly then explain_logic_error
    else explain_logic_error_no_anomaly in
  debugging_step ist (fun () ->
    pp() ++ spc() ++ str "raised the exception" ++ fnl() ++ !explain_exc e)

let error_ltac_variable loc id env v s =
   user_err_loc (loc, "", str "Ltac variable " ++ pr_id id ++
   strbrk " is bound to" ++ spc () ++ pr_value env v ++ spc () ++
   strbrk "which cannot be coerced to " ++ str s ++ str".")

exception CannotCoerceTo of string

(* Raise Not_found if not in interpretation sign *)
let try_interp_ltac_var coerce ist env (loc,id) =
  let v = List.assoc id ist.lfun in
  try coerce v with CannotCoerceTo s -> error_ltac_variable loc id env v s

let interp_ltac_var coerce ist env locid =
  try try_interp_ltac_var coerce ist env locid
  with Not_found -> anomaly ("Detected '" ^ (string_of_id (snd locid)) ^ "' as ltac var at interning time")

(* Interprets an identifier which must be fresh *)
let coerce_to_ident fresh env = function
  | VIntroPattern (IntroIdentifier id) -> id
  | VConstr ([],c) when isVar c & not (fresh & is_variable env (destVar c)) ->
      (* We need it fresh for intro e.g. in "Tac H = clear H; intro H" *)
      destVar c
  | v -> raise (CannotCoerceTo "a fresh identifier")

let interp_ident_gen fresh ist env id =
  try try_interp_ltac_var (coerce_to_ident fresh env) ist (Some env) (dloc,id)
  with Not_found -> id

let interp_ident = interp_ident_gen false
let interp_fresh_ident = interp_ident_gen true
let pf_interp_ident id gl = interp_ident_gen false id (pf_env gl)
let pf_interp_fresh_ident id gl = interp_ident_gen true id (pf_env gl)

(* Interprets an optional identifier which must be fresh *)
let interp_fresh_name ist env = function
  | Anonymous -> Anonymous
  | Name id -> Name (interp_fresh_ident ist env id)

let coerce_to_intro_pattern env = function
  | VIntroPattern ipat -> ipat
  | VConstr ([],c) when isVar c ->
      (* This happens e.g. in definitions like "Tac H = clear H; intro H" *)
      (* but also in "destruct H as (H,H')" *)
      IntroIdentifier (destVar c)
  | v -> raise (CannotCoerceTo "an introduction pattern")

let interp_intro_pattern_var loc ist env id =
  try try_interp_ltac_var (coerce_to_intro_pattern env) ist (Some env) (loc,id)
  with Not_found -> IntroIdentifier id

let coerce_to_hint_base = function
  | VIntroPattern (IntroIdentifier id) -> string_of_id id
  | _ -> raise (CannotCoerceTo "a hint base name")

let interp_hint_base ist s =
  try try_interp_ltac_var coerce_to_hint_base ist None (dloc,id_of_string s)
  with Not_found -> s

let coerce_to_int = function
  | VInteger n -> n
  | v -> raise (CannotCoerceTo "an integer")

let interp_int ist locid =
  try try_interp_ltac_var coerce_to_int ist None locid
  with Not_found ->
    user_err_loc(fst locid,"interp_int",
      str "Unbound variable "  ++ pr_id (snd locid) ++ str".")

let interp_int_or_var ist = function
  | ArgVar locid -> interp_int ist locid
  | ArgArg n -> n

let int_or_var_list_of_VList = function
  | VList l -> List.map (fun n -> ArgArg (coerce_to_int n)) l
  | _ -> raise Not_found

let interp_int_or_var_as_list ist = function
  | ArgVar (_,id as locid) ->
      (try int_or_var_list_of_VList (List.assoc id ist.lfun)
       with Not_found | CannotCoerceTo _ -> [ArgArg (interp_int ist locid)])
  | ArgArg n as x -> [x]

let interp_int_or_var_list ist l =
  List.flatten (List.map (interp_int_or_var_as_list ist) l)

let constr_of_value env = function
  | VConstr csr -> csr
  | VIntroPattern (IntroIdentifier id) -> ([],constr_of_id env id)
  | _ -> raise Not_found

let closed_constr_of_value env v =
  let ids,c = constr_of_value env v in
  if ids <> [] then raise Not_found;
  c

let coerce_to_hyp env = function
  | VConstr ([],c) when isVar c -> destVar c
  | VIntroPattern (IntroIdentifier id) when is_variable env id -> id
  | _ -> raise (CannotCoerceTo "a variable")

(* Interprets a bound variable (especially an existing hypothesis) *)
let interp_hyp ist gl (loc,id as locid) =
  let env = pf_env gl in
  (* Look first in lfun for a value coercible to a variable *)
  try try_interp_ltac_var (coerce_to_hyp env) ist (Some env) locid
  with Not_found ->
  (* Then look if bound in the proof context at calling time *)
  if is_variable env id then id
  else user_err_loc (loc,"eval_variable",
    str "No such hypothesis: " ++ pr_id id ++ str ".")

let hyp_list_of_VList env = function
  | VList l -> List.map (coerce_to_hyp env) l
  | _ -> raise Not_found

let interp_hyp_list_as_list ist gl (loc,id as x) =
  try hyp_list_of_VList (pf_env gl) (List.assoc id ist.lfun)
  with Not_found | CannotCoerceTo _ -> [interp_hyp ist gl x]

let interp_hyp_list ist gl l =
  List.flatten (List.map (interp_hyp_list_as_list ist gl) l)

let interp_move_location ist gl = function
  | MoveAfter id -> MoveAfter (interp_hyp ist gl id)
  | MoveBefore id -> MoveBefore (interp_hyp ist gl id)
  | MoveToEnd toleft as x -> x

(* Interprets a qualified name *)
let coerce_to_reference env v =
  try match v with
  | VConstr ([],c) -> global_of_constr c (* may raise Not_found *)
  | _ -> raise Not_found
  with Not_found -> raise (CannotCoerceTo "a reference")

let interp_reference ist env = function
  | ArgArg (_,r) -> r
  | ArgVar locid ->
      interp_ltac_var (coerce_to_reference env) ist (Some env) locid

let pf_interp_reference ist gl = interp_reference ist (pf_env gl)

let coerce_to_inductive = function
  | VConstr ([],c) when isInd c -> destInd c
  | _ -> raise (CannotCoerceTo "an inductive type")

let interp_inductive ist = function
  | ArgArg r -> r
  | ArgVar locid -> interp_ltac_var coerce_to_inductive ist None locid

let coerce_to_evaluable_ref env v =
  let ev = match v with
    | VConstr ([],c) when isConst c -> EvalConstRef (destConst c)
    | VConstr ([],c) when isVar c -> EvalVarRef (destVar c)
    | VIntroPattern (IntroIdentifier id) when List.mem id (ids_of_context env)
	-> EvalVarRef id
    | _ -> raise (CannotCoerceTo "an evaluable reference")
  in
  if not (Tacred.is_evaluable env ev) then
    raise (CannotCoerceTo "an evaluable reference")
  else
    ev

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 (VarRef id)
       with Not_found ->
       match r with
       | EvalConstRef _ -> r
       | _ -> error_global_not_found_loc (loc,qualid_of_ident id))
  | ArgArg (r,None) -> r
  | ArgVar locid ->
      interp_ltac_var (coerce_to_evaluable_ref env) ist (Some env) locid

(* Interprets an hypothesis name *)
let interp_occurrences ist (b,occs) =
  (b,interp_int_or_var_list ist occs)

let interp_hyp_location ist gl ((occs,id),hl) =
  ((interp_occurrences ist occs,interp_hyp ist gl id),hl)

let interp_clause ist gl { onhyps=ol; concl_occs=occs } =
  { onhyps=Option.map(List.map (interp_hyp_location ist gl)) ol;
    concl_occs=interp_occurrences ist occs }

(* Interpretation of constructions *)

(* Extract the constr list from lfun *)
let extract_ltac_constr_values ist env =
  let rec aux = function
  | (id,v)::tl ->
      let (l1,l2) = aux 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))
  | [] -> ([],[]) in
  aux ist.lfun

(* Extract the identifier list from lfun: join all branches (what to do else?)*)
let rec intropattern_ids (loc,pat) = match pat with
  | IntroIdentifier id -> [id]
  | IntroOrAndPattern ll ->
      List.flatten (List.map intropattern_ids (List.flatten ll))
  | IntroWildcard | IntroAnonymous | IntroFresh _ | IntroRewrite _
  | IntroForthcoming _ -> []

let rec extract_ids ids = function
  | (id,VIntroPattern ipat)::tl when not (List.mem id ids) ->
      intropattern_ids (dloc,ipat) @ extract_ids ids tl
  | _::tl -> extract_ids ids tl
  | [] -> []

let default_fresh_id = id_of_string "H"

let interp_fresh_id ist env l =
  let ids = map_succeed (function ArgVar(_,id) -> id | _ -> failwith "") l in
  let avoid = (extract_ids ids ist.lfun) @ ist.avoid_ids in
  let id =
    if l = [] then default_fresh_id
    else
      let s =
	String.concat "" (List.map (function
	  | ArgArg s -> s
	  | ArgVar (_,id) -> string_of_id (interp_ident ist env id)) l) in
      let s = if Lexer.is_keyword s then s^"0" else s in
      id_of_string s in
  Tactics.fresh_id_in_env avoid id env

let pf_interp_fresh_id ist gl = interp_fresh_id ist (pf_env gl)

let interp_gen kind ist allow_patvar expand_evar fail_evar use_classes env sigma (c,ce) =
  let (ltacvars,unbndltacvars as vars) = extract_ltac_constr_values ist env in
  let c = match ce with
  | None -> 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 ->
      let ltacdata = (List.map fst ltacvars,unbndltacvars) in
      intern_gen (kind = IsType) ~allow_patvar ~ltacvars:ltacdata sigma env c
  in
  let trace = push_trace (dloc,LtacConstrInterp (c,vars)) ist.trace in
  let evdc =
    catch_error trace (understand_ltac expand_evar sigma env vars kind) c in
  let (evd,c) =
    if expand_evar then
      solve_remaining_evars fail_evar use_classes
        solve_by_implicit_tactic env sigma evdc
    else
      evdc in
  db_constr ist.debug env c;
  (evd,c)

(* Interprets a constr; expects evars to be solved *)
let interp_constr_gen kind ist env sigma c =
  snd (interp_gen kind ist false true true true env sigma c)

let interp_constr = interp_constr_gen (OfType None)

let interp_type = interp_constr_gen IsType

(* Interprets an open constr *)
let interp_open_constr_gen kind ist =
  interp_gen kind ist false true false false

let interp_open_constr ccl =
  interp_open_constr_gen (OfType ccl)

let interp_pure_open_constr ist =
  interp_gen (OfType None) ist false false false false

let interp_typed_pattern ist env sigma (c,_) =
  let sigma, c =
    interp_gen (OfType None) ist true false false false env sigma c in
  pattern_of_constr sigma c

(* Interprets a constr expression casted by the current goal *)
let pf_interp_casted_constr ist gl c =
  interp_constr_gen (OfType (Some (pf_concl gl))) ist (pf_env gl) (project gl) c

(* Interprets a constr expression *)
let pf_interp_constr ist gl =
  interp_constr ist (pf_env gl) (project gl)

let constr_list_of_VList env = function
  | VList l -> List.map (closed_constr_of_value env) l
  | _ -> raise Not_found

let interp_constr_in_compound_list inj_fun dest_fun interp_fun ist env sigma l =
  let try_expand_ltac_var sigma x =
    try match dest_fun x with
    | GVar (_,id), _ ->	
        sigma,
        List.map inj_fun (constr_list_of_VList env (List.assoc id ist.lfun))
    | _ ->
        raise Not_found
    with Not_found ->
      (*all of dest_fun, List.assoc, constr_list_of_VList may raise Not_found*)
      let sigma, c = interp_fun ist env sigma x in
      sigma, [c] in
  let sigma, l = list_fold_map try_expand_ltac_var sigma l in
  sigma, List.flatten l

let interp_constr_list ist env sigma c =
  snd (interp_constr_in_compound_list (fun x -> x) (fun x -> x) (fun ist env sigma c -> (Evd.empty, interp_constr ist env sigma c)) ist env sigma c)

let interp_open_constr_list =
  interp_constr_in_compound_list (fun x -> x) (fun x -> x)
    (interp_open_constr None)

let interp_auto_lemmas ist env sigma lems =
  let local_sigma, lems = interp_open_constr_list ist env sigma lems in
  List.map (fun lem -> (local_sigma,lem)) lems

(* Interprets a type expression *)
let pf_interp_type ist gl =
  interp_type ist (pf_env gl) (project gl)

(* Interprets a reduction expression *)
let interp_unfold ist env (occs,qid) =
  (interp_occurrences ist occs,interp_evaluable ist env qid)

let interp_flag ist env red =
  { red with rConst = List.map (interp_evaluable ist env) red.rConst }

let interp_constr_with_occurrences ist sigma env (occs,c) =
  (interp_occurrences ist occs, interp_constr ist sigma env c)

let interp_typed_pattern_with_occurrences ist env sigma (occs,c) =
  let sign,p = interp_typed_pattern ist env sigma c in
  sign, (interp_occurrences ist occs, p)

let interp_closed_typed_pattern_with_occurrences ist env sigma occl =
  snd (interp_typed_pattern_with_occurrences ist env sigma occl)

let interp_constr_with_occurrences_and_name_as_list =
  interp_constr_in_compound_list
    (fun c -> ((all_occurrences_expr,c),Anonymous))
    (function ((occs,c),Anonymous) when occs = all_occurrences_expr -> c
      | _ -> raise Not_found)
    (fun ist env sigma (occ_c,na) ->
      sigma, (interp_constr_with_occurrences ist env sigma occ_c,
       interp_fresh_name ist env na))

let interp_red_expr ist sigma env = function
  | Unfold l -> Unfold (List.map (interp_unfold ist env) l)
  | Fold l -> Fold (List.map (interp_constr ist env sigma) l)
  | Cbv f -> Cbv (interp_flag ist env f)
  | Lazy f -> Lazy (interp_flag ist env f)
  | Pattern l ->
      Pattern (List.map (interp_constr_with_occurrences ist env sigma) l)
  | Simpl o ->
      Simpl (Option.map (interp_closed_typed_pattern_with_occurrences ist env sigma) o)
  | CbvVm o ->
      CbvVm (Option.map (interp_closed_typed_pattern_with_occurrences ist env sigma) o)
  | (Red _ |  Hnf | ExtraRedExpr _ as r) -> r

let pf_interp_red_expr ist gl = interp_red_expr ist (project gl) (pf_env gl)

let interp_may_eval f ist gl = function
  | ConstrEval (r,c) ->
      let redexp = pf_interp_red_expr ist gl  r in
      pf_reduction_of_red_expr 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 ++ str"."))
  | ConstrTypeOf c -> pf_type_of gl (f ist gl c)
  | ConstrTerm c ->
     try
	f ist gl c
     with e ->
       debugging_exception_step ist false e (fun () ->
         str"interpretation of term " ++ pr_glob_constr_env (pf_env gl) (fst c));
       raise e

(* Interprets a constr expression possibly to first evaluate *)
let interp_constr_may_eval ist gl c =
  let csr =
    try
      interp_may_eval pf_interp_constr ist gl c
    with e ->
      debugging_exception_step ist false e (fun () -> str"evaluation of term");
      raise e
  in
  begin
    db_constr ist.debug (pf_env gl) csr;
    csr
  end

let rec message_of_value gl = function
  | VVoid -> str "()"
  | VInteger n -> int n
  | VIntroPattern ipat -> pr_intro_pattern (dloc,ipat)
  | VConstr_context c -> pr_constr_env (pf_env gl) c
  | VConstr c -> pr_constr_under_binders_env (pf_env gl) c
  | VRec _ | VRTactic _ | VFun _ -> str "<tactic>"
  | VList l -> prlist_with_sep spc (message_of_value gl) l

let rec interp_message_token ist gl = function
  | MsgString s -> str s
  | MsgInt n -> int n
  | MsgIdent (loc,id) ->
      let v =
	try List.assoc id ist.lfun
	with Not_found -> user_err_loc (loc,"",pr_id id ++ str" not found.") in
      message_of_value gl v

let rec interp_message_nl ist gl = function
  | [] -> mt()
  | l -> prlist_with_sep spc (interp_message_token ist gl) l ++ fnl()

let interp_message ist gl l =
  (* Force evaluation of interp_message_token so that potential errors
     are raised now and not at printing time *)
  prlist (fun x -> spc () ++ x) (List.map (interp_message_token ist gl) l)

let intro_pattern_list_of_Vlist loc env = function
  | VList l -> List.map (fun a -> loc,coerce_to_intro_pattern env a) l
  | _ -> raise Not_found

let rec interp_intro_pattern ist gl = function
  | loc, IntroOrAndPattern l ->
      loc, IntroOrAndPattern (interp_or_and_intro_pattern ist gl l)
  | loc, IntroIdentifier id ->
      loc, interp_intro_pattern_var loc ist (pf_env gl) id
  | loc, IntroFresh id ->
      loc, IntroFresh (interp_fresh_ident ist (pf_env gl) id)
  | loc, (IntroWildcard | IntroAnonymous | IntroRewrite _ | IntroForthcoming _)
      as x -> x

and interp_or_and_intro_pattern ist gl =
  List.map (interp_intro_pattern_list_as_list ist gl)

and interp_intro_pattern_list_as_list ist gl = function
  | [loc,IntroIdentifier id] as l ->
      (try intro_pattern_list_of_Vlist loc (pf_env gl) (List.assoc id ist.lfun)
       with Not_found | CannotCoerceTo _ ->
	List.map (interp_intro_pattern ist gl) l)
  | l -> List.map (interp_intro_pattern ist gl) l

let interp_in_hyp_as ist gl (id,ipat) =
  (interp_hyp ist gl id,Option.map (interp_intro_pattern ist gl) ipat)

(* Quantified named or numbered hypothesis or hypothesis in context *)
(* (as in Inversion) *)
let coerce_to_quantified_hypothesis = function
  | VInteger n -> AnonHyp n
  | VIntroPattern (IntroIdentifier id) -> NamedHyp id
  | v -> raise (CannotCoerceTo "a quantified hypothesis")

let interp_quantified_hypothesis ist = function
  | AnonHyp n -> AnonHyp n
  | NamedHyp id ->
      try try_interp_ltac_var coerce_to_quantified_hypothesis ist None(dloc,id)
      with Not_found -> NamedHyp id

let interp_binding_name ist = function
  | AnonHyp n -> AnonHyp n
  | NamedHyp id ->
      (* If a name is bound, it has to be a quantified hypothesis *)
      (* user has to use other names for variables if these ones clash with *)
      (* a name intented to be used as a (non-variable) identifier *)
      try try_interp_ltac_var coerce_to_quantified_hypothesis ist None(dloc,id)
      with Not_found -> NamedHyp id

(* Quantified named or numbered hypothesis or hypothesis in context *)
(* (as in Inversion) *)
let coerce_to_decl_or_quant_hyp env = function
  | VInteger n -> AnonHyp n
  | v ->
      try NamedHyp (coerce_to_hyp env v)
      with CannotCoerceTo _ ->
	raise (CannotCoerceTo "a declared or quantified hypothesis")

let interp_declared_or_quantified_hypothesis ist gl = function
  | AnonHyp n -> AnonHyp n
  | NamedHyp id ->
      let env = pf_env gl in
      try try_interp_ltac_var
	    (coerce_to_decl_or_quant_hyp env) ist (Some env) (dloc,id)
      with Not_found -> NamedHyp id

let interp_binding ist env sigma (loc,b,c) =
  let sigma, c = interp_open_constr None ist env sigma c in
  sigma, (loc,interp_binding_name ist b,c)

let interp_bindings ist env sigma = function
| NoBindings ->
    sigma, NoBindings
| ImplicitBindings l ->
    let sigma, l = interp_open_constr_list ist env sigma l in   
    sigma, ImplicitBindings l
| ExplicitBindings l ->
    let sigma, l = list_fold_map (interp_binding ist env) sigma l in
    sigma, ExplicitBindings l

let interp_constr_with_bindings ist env sigma (c,bl) =
  let sigma, bl = interp_bindings ist env sigma bl in
  let sigma, c = interp_open_constr None ist env sigma c in
  sigma, (c,bl)

let interp_open_constr_with_bindings ist env sigma (c,bl) =
  let sigma, bl = interp_bindings ist env sigma bl in
  let sigma, c = interp_open_constr None ist env sigma c in
  sigma, (c, bl)

let loc_of_bindings = function
| NoBindings -> dummy_loc
| ImplicitBindings l -> loc_of_glob_constr (fst (list_last l))
| ExplicitBindings l -> pi1 (list_last l)

let interp_open_constr_with_bindings_loc ist env sigma ((c,_),bl as cb) =
  let loc1 = loc_of_glob_constr c in
  let loc2 = loc_of_bindings bl in
  let loc = if loc2 = dummy_loc then loc1 else join_loc loc1 loc2 in
  let sigma, cb = interp_open_constr_with_bindings ist env sigma cb in
  sigma, (loc,cb)

let interp_induction_arg ist gl arg =
  let env = pf_env gl and sigma = project gl in
  match arg with
  | ElimOnConstr c ->
      ElimOnConstr (interp_constr_with_bindings ist env sigma c)
  | ElimOnAnonHyp n as x -> x
  | ElimOnIdent (loc,id) ->
      try
        match List.assoc id ist.lfun with
	| VInteger n ->
	    ElimOnAnonHyp n
	| VIntroPattern (IntroIdentifier id') ->
	    if Tactics.is_quantified_hypothesis id' gl
	    then ElimOnIdent (loc,id')
	    else
	      (try ElimOnConstr (sigma,(constr_of_id env id',NoBindings))
	       with Not_found ->
		user_err_loc (loc,"",
		pr_id id ++ strbrk " binds to " ++ pr_id id' ++ strbrk " which is neither a declared or a quantified hypothesis."))
	| VConstr ([],c) ->
	    ElimOnConstr (sigma,(c,NoBindings))
	| _ -> user_err_loc (loc,"",
	      strbrk "Cannot coerce " ++ pr_id id ++
	      strbrk " neither to a quantified hypothesis nor to a term.")
      with Not_found ->
	(* We were in non strict (interactive) mode *)
	if Tactics.is_quantified_hypothesis id gl then
          ElimOnIdent (loc,id)
	else
          let c = (GVar (loc,id),Some (CRef (Ident (loc,id)))) in
          let c = interp_constr ist env sigma c in
          ElimOnConstr (sigma,(c,NoBindings))

(* 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 substituting vars of lfun *)
let use_types = false

let eval_pattern lfun ist env sigma (_,pat as c) =
  if use_types then
    snd (interp_typed_pattern ist env sigma c)
  else
    instantiate_pattern sigma lfun pat

let read_pattern lfun ist env sigma = function
  | Subterm (b,ido,c) -> Subterm (b,ido,eval_pattern lfun ist env sigma c)
  | Term c -> Term (eval_pattern lfun ist env sigma c)

(* Reads the hypotheses of a Match Context rule *)
let cons_and_check_name id l =
  if List.mem id l then
    user_err_loc (dloc,"read_match_goal_hyps",
      strbrk ("Hypothesis pattern-matching variable "^(string_of_id id)^
      " used twice in the same pattern."))
  else id::l

let rec read_match_goal_hyps lfun ist env sigma lidh = function
  | (Hyp ((loc,na) as locna,mp))::tl ->
      let lidh' = name_fold cons_and_check_name na lidh in
      Hyp (locna,read_pattern lfun ist env sigma mp)::
	(read_match_goal_hyps lfun ist env sigma lidh' tl)
  | (Def ((loc,na) as locna,mv,mp))::tl ->
      let lidh' = name_fold cons_and_check_name na lidh in
      Def (locna,read_pattern lfun ist env sigma mv, read_pattern lfun ist env sigma mp)::
	(read_match_goal_hyps lfun ist env sigma lidh' tl)
  | [] -> []

(* Reads the rules of a Match Context or a Match *)
let rec read_match_rule lfun ist env sigma = function
  | (All tc)::tl -> (All tc)::(read_match_rule lfun ist env sigma tl)
  | (Pat (rl,mp,tc))::tl ->
      Pat (read_match_goal_hyps lfun ist env sigma [] rl, read_pattern lfun ist env sigma mp,tc)
      :: read_match_rule lfun ist env sigma tl
  | [] -> []

(* For Match Context and Match *)
exception Not_coherent_metas
exception Eval_fail of std_ppcmds

let is_match_catchable = function
  | PatternMatchingFailure | Eval_fail _ -> true
  | e -> Logic.catchable_exception e

let equal_instances gl (ctx',c') (ctx,c) =
  (* How to compare instances? Do we want the terms to be convertible?
     unifiable? Do we want the universe levels to be relevant? 
     (historically, conv_x is used) *)
  ctx = ctx' & pf_conv_x gl c' c

(* Verifies if the matched list is coherent with respect to lcm *)
(* While non-linear matching is modulo eq_constr in matches, merge of *)
(* different instances of the same metavars is here modulo conversion... *)
let verify_metas_coherence gl (ln1,lcm) (ln,lm) =
  let rec aux = function
  | (id,c as x)::tl ->
      if List.for_all (fun (id',c') -> id'<>id or equal_instances gl c' c) lcm
      then
	x :: aux tl
      else
	raise Not_coherent_metas
  | [] -> lcm in
  (ln@ln1,aux lm)

let adjust (l,lc) = (l,List.map (fun (id,c) -> (id,([],c))) lc)

(* Tries to match one hypothesis pattern with a list of hypotheses *)
let apply_one_mhyp_context ist env gl lmatch (hypname,patv,pat) lhyps =
  let get_id_couple id = function
    | Name idpat -> [idpat,VConstr ([],mkVar id)]
    | Anonymous -> [] in
  let match_pat lmatch hyp pat =
    match pat with
    | Term t ->
        let lmeta = extended_matches t hyp in
        (try
            let lmeta = verify_metas_coherence gl lmatch lmeta in
            ([],lmeta,(fun () -> raise PatternMatchingFailure))
          with
            | Not_coherent_metas -> raise PatternMatchingFailure);
    | Subterm (b,ic,t) ->
        let rec match_next_pattern find_next () =
          let (lmeta,ctxt,find_next') = find_next () in
          try
            let lmeta = verify_metas_coherence gl lmatch (adjust lmeta) in
            (give_context ctxt ic,lmeta,match_next_pattern find_next')
          with
            | Not_coherent_metas -> match_next_pattern find_next' () in
        match_next_pattern (fun () -> match_subterm_gen b t hyp) () in
  let rec apply_one_mhyp_context_rec = function
    | (id,b,hyp as hd)::tl ->
	(match patv with
	| None ->
            let rec match_next_pattern find_next () =
              try
                let (ids, lmeta, find_next') = find_next () in
		(get_id_couple id hypname@ids, lmeta, hd,
                 match_next_pattern find_next')
              with
                | PatternMatchingFailure -> apply_one_mhyp_context_rec tl in
            match_next_pattern (fun () ->
	      let hyp = if b<>None then refresh_universes_strict hyp else hyp in
	      match_pat lmatch hyp pat) ()
	| Some patv ->
	    match b with
	    | Some body ->
                let rec match_next_pattern_in_body next_in_body () =
                  try
                    let (ids,lmeta,next_in_body') = next_in_body() in
                    let rec match_next_pattern_in_typ next_in_typ () =
                      try
                        let (ids',lmeta',next_in_typ') = next_in_typ() in
		        (get_id_couple id hypname@ids@ids', lmeta', hd,
                         match_next_pattern_in_typ next_in_typ')
                      with
                        | PatternMatchingFailure ->
                            match_next_pattern_in_body next_in_body' () in
                    match_next_pattern_in_typ
                      (fun () ->
			let hyp = refresh_universes_strict hyp in
			match_pat lmeta hyp pat) ()
                  with PatternMatchingFailure -> apply_one_mhyp_context_rec tl
                in
                match_next_pattern_in_body
                  (fun () -> match_pat lmatch body patv) ()
            | None -> apply_one_mhyp_context_rec tl)
    | [] ->
        db_hyp_pattern_failure ist.debug env (hypname,pat);
        raise PatternMatchingFailure
  in
    apply_one_mhyp_context_rec lhyps

(* misc *)

let mk_constr_value ist gl c = VConstr ([],pf_interp_constr ist gl c)
let mk_hyp_value ist gl c = VConstr ([],mkVar (interp_hyp ist gl c))
let mk_int_or_var_value ist c = VInteger (interp_int_or_var ist c)

let pack_sigma (sigma,c) = {it=c;sigma=sigma}

let extend_gl_hyps { it=gl ; sigma=sigma } sign =
  let hyps = Goal.V82.hyps sigma gl in
  let new_hyps = List.fold_right Environ.push_named_context_val sign hyps in
  (* spiwack: (2010/01/13) if a bug was reintroduced in [change] in is probably here *)
  Goal.V82.new_goal_with sigma gl new_hyps

(* 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.trace,ist.lfun,it,body)
  | TacLetIn (true,l,u) -> interp_letrec ist gl l u
  | TacLetIn (false,l,u) -> interp_letin ist gl l u
  | TacMatchGoal (lz,lr,lmr) -> interp_match_goal ist gl lz lr lmr
  | TacMatch (lz,c,lmr) -> interp_match ist gl lz c lmr
  | TacArg (loc,a) -> interp_tacarg ist gl a
  (* Delayed evaluation *)
  | t -> VFun (ist.trace,ist.lfun,[],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 ->
	let box = ref None in abstract_tactic_box := box;
	let call = LtacAtomCall (t,box) in
	let tac = (* catch error in the interpretation *)
	  catch_error (push_trace(dloc,call)ist.trace)
	    (interp_atomic ist gl) t	in
	(* catch error in the evaluation *)
	catch_error (push_trace(loc,call)ist.trace) tac gl
  | TacFun _ | TacLetIn _ -> assert false
  | TacMatchGoal _ | TacMatch _ -> assert false
  | TacId s -> fun gl ->
      let res = tclIDTAC_MESSAGE (interp_message_nl ist gl s) gl in
      db_breakpoint ist.debug s; res
  | TacFail (n,s) -> fun gl -> tclFAIL (interp_int_or_var ist n) (interp_message ist gl s) gl
  | TacProgress tac -> tclPROGRESS (interp_tactic ist tac)
  | TacAbstract (tac,ido) ->
      fun gl -> Tactics.tclABSTRACT
        (Option.map (pf_interp_ident ist gl) ido) (interp_tactic ist tac) gl
  | TacThen (t1,tf,t,tl) ->
      tclTHENS3PARTS (interp_tactic ist t1)
	(Array.map (interp_tactic ist) tf) (interp_tactic ist t) (Array.map (interp_tactic ist) tl)
  | TacThens (t1,tl) -> tclTHENS (interp_tactic ist t1) (List.map (interp_tactic ist) tl)
  | TacDo (n,tac) -> tclDO (interp_int_or_var ist n) (interp_tactic ist tac)
  | TacTimeout (n,tac) -> tclTIMEOUT (interp_int_or_var ist n) (interp_tactic ist tac)
  | TacTry tac -> tclTRY (interp_tactic ist tac)
  | TacInfo tac ->
      let t = (interp_tactic ist tac) in
	tclINFO
	  begin
	    match tac with
		TacAtom (_,_) -> t
	      | _ -> abstract_tactic_expr (TacArg (dloc,Tacexp tac)) t
	  end
  | 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)
  | TacComplete tac -> tclCOMPLETE (interp_tactic ist tac)
  | TacArg a -> interp_tactic ist (TacArg a)

and force_vrec ist gl = function
  | VRec (lfun,body) -> val_interp {ist with lfun = !lfun} gl body
  | v -> v

and interp_ltac_reference loc' mustbetac ist gl = function
  | ArgVar (loc,id) ->
      let v = List.assoc id ist.lfun in
      let v = force_vrec ist gl v in
      let v = propagate_trace ist loc id v in
      if mustbetac then coerce_to_tactic loc id v else v
  | ArgArg (loc,r) ->
      let ids = extract_ids [] ist.lfun in
      let loc_info = ((if loc' = dloc then loc else loc'),LtacNameCall r) in
      let ist =
        { lfun=[]; debug=ist.debug; avoid_ids=ids;
          trace = push_trace loc_info ist.trace } in
      val_interp ist gl (lookup r)

and interp_tacarg ist gl = function
  | TacVoid -> VVoid
  | Reference r -> interp_ltac_reference dloc false ist gl r
  | Integer n -> VInteger n
  | IntroPattern ipat -> VIntroPattern (snd (interp_intro_pattern ist gl ipat))
  | ConstrMayEval c -> VConstr ([],interp_constr_may_eval ist gl c)
  | MetaIdArg (loc,_,id) -> assert false
  | TacCall (loc,r,[]) -> interp_ltac_reference loc true ist gl r
  | TacCall (loc,f,l) ->
      let fv = interp_ltac_reference loc true ist gl f
      and largs = List.map (interp_tacarg ist gl) l in
      List.iter check_is_value largs;
      interp_app loc ist gl fv largs
  | TacExternal (loc,com,req,la) ->
      interp_external loc ist gl com req (List.map (interp_tacarg ist gl) la)
  | TacFreshId l ->
      let id = pf_interp_fresh_id ist gl l in
      VIntroPattern (IntroIdentifier id)
  | Tacexp t -> val_interp ist gl t
  | TacDynamic(_,t) ->
      let tg = (Dyn.tag t) in
      if tg = "tactic" then
        val_interp ist gl (tactic_out t ist)
      else if tg = "value" then
        value_out t
      else if tg = "constr" then
        VConstr ([],constr_out t)
      else
        anomaly_loc (dloc, "Tacinterp.val_interp",
          (str "Unknown dynamic: <" ++ str (Dyn.tag t) ++ str ">"))

(* Interprets an application node *)
and interp_app loc ist gl fv largs =
  match fv with
     (* if var=[] and body has been delayed by val_interp, then body
         is not a tactic that expects arguments.
         Otherwise Ltac goes into an infinite loop (val_interp puts
         a VFun back on body, and then interp_app is called again...) *)
    | (VFun(trace,olfun,(_::_ as var),body)
      |VFun(trace,olfun,([] as var),
         (TacFun _|TacLetIn _|TacMatchGoal _|TacMatch _| TacArg _ as body))) ->
	let (newlfun,lvar,lval)=head_with_value (var,largs) in
	if lvar=[] then
	  let v =
	    try
	      catch_error trace
		(val_interp {ist with lfun=newlfun@olfun; trace=trace} gl) body
	    with e ->
              debugging_exception_step ist false e (fun () -> str "evaluation");
	      raise e in
          debugging_step ist
	    (fun () ->
	       str"evaluation returns"++fnl()++pr_value (Some (pf_env gl)) v);
          if lval=[] then v else interp_app loc ist gl v lval
	else
          VFun(trace,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 ist vle g =
  match vle with
  | VRTactic res -> res
  | VFun (trace,lfun,[],t) ->
      let tac = eval_tactic {ist with lfun=lfun; trace=trace} t in
      catch_error trace tac g
  | (VFun _|VRec _) -> error "A fully applied tactic is expected."
  | VConstr _ -> errorlabstrm "" (str"Value is a term. Expected a tactic.")
  | VConstr_context _ ->
      errorlabstrm "" (str"Value is a term context. Expected a tactic.")
  | VIntroPattern _ ->
      errorlabstrm "" (str"Value is an intro pattern. Expected a tactic.")
  | _ -> errorlabstrm "" (str"Expression does not evaluate to a tactic.")

(* Evaluation with FailError catching *)
and eval_with_fail ist is_lazy goal tac =
  try
    (match val_interp ist goal tac with
    | VFun (trace,lfun,[],t) when not is_lazy ->
	let tac = eval_tactic {ist with lfun=lfun; trace=trace} t in
	VRTactic (catch_error trace tac goal)
    | a -> a)
  with
    | FailError (0,s) | Loc.Exc_located(_, FailError (0,s))
    | Loc.Exc_located(_,LtacLocated (_,FailError (0,s))) ->
	raise (Eval_fail (Lazy.force s))
    | FailError (lvl,s) -> raise (FailError (lvl - 1, s))
    | Loc.Exc_located(s,FailError (lvl,s')) ->
	raise (Loc.Exc_located(s,FailError (lvl - 1, s')))
    | Loc.Exc_located(s,LtacLocated (s'',FailError (lvl,s'))) ->
	raise (Loc.Exc_located(s,LtacLocated (s'',FailError (lvl - 1, s'))))

(* Interprets the clauses of a recursive LetIn *)
and interp_letrec ist gl llc u =
  let lref = ref ist.lfun in
  let lve = list_map_left (fun ((_,id),b) -> (id,VRec (lref,TacArg (dloc,b)))) llc in
  lref := lve@ist.lfun;
  let ist = { ist with lfun = lve@ist.lfun } in
  val_interp ist gl u

(* Interprets the clauses of a LetIn *)
and interp_letin ist gl llc u =
  let lve = list_map_left (fun ((_,id),body) ->
    let v = interp_tacarg ist gl body in check_is_value v; (id,v)) llc in
  let ist = { ist with lfun = lve@ist.lfun } in
  val_interp ist gl u

(* Interprets the Match Context expressions *)
and interp_match_goal ist goal lz lr lmr =
  let (gl,sigma) = Goal.V82.nf_evar (project goal) (sig_it goal) in
  let goal = { it = gl ; sigma = sigma } in
  let hyps = pf_hyps goal in
  let hyps = if lr then List.rev hyps else hyps in
  let concl = pf_concl goal in
  let env = pf_env goal in
  let rec apply_goal_sub app ist (id,c) csr mt mhyps hyps =
    let rec match_next_pattern find_next () =
      let (lgoal,ctxt,find_next') = find_next () in
      let lctxt = give_context ctxt id in
      try apply_hyps_context ist env lz goal mt lctxt (adjust lgoal) mhyps hyps
      with e when is_match_catchable e -> match_next_pattern find_next' () in
    match_next_pattern (fun () -> match_subterm_gen app c csr) () in
  let rec apply_match_goal 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 lz goal t
              with e when is_match_catchable e ->
		apply_match_goal ist env goal (nrs+1) (List.tl lex) tl
	    end
	| (Pat (mhyps,mgoal,mt))::tl ->
            let mhyps = List.rev mhyps (* Sens naturel *) in
	    (match mgoal with
             | Term mg ->
		 (try
		     let lmatch = extended_matches mg concl in
		     db_matched_concl ist.debug env concl;
		     apply_hyps_context ist env lz goal mt [] lmatch mhyps hyps
		   with e when is_match_catchable e ->
		     (match e with
		       | PatternMatchingFailure -> db_matching_failure ist.debug
		       | Eval_fail s -> db_eval_failure ist.debug s
		       | _ -> db_logic_failure ist.debug e);
		     apply_match_goal ist env goal (nrs+1) (List.tl lex) tl)
	     | Subterm (b,id,mg) ->
		 (try apply_goal_sub b ist (id,mg) concl mt mhyps hyps
		   with
		     | PatternMatchingFailure ->
			 apply_match_goal ist env goal (nrs+1) (List.tl lex) tl))
	| _ ->
	    errorlabstrm "Tacinterp.apply_match_goal"
              (v 0 (str "No matching clauses for match goal" ++
		      (if ist.debug=DebugOff then
			 fnl() ++ str "(use \"Set Ltac Debug\" for more info)"
		       else mt()) ++ str"."))
    end in
    apply_match_goal ist env goal 0 lmr
      (read_match_rule (fst (extract_ltac_constr_values ist env))
	ist env (project goal) lmr)

(* Tries to match the hypotheses in a Match Context *)
and apply_hyps_context ist env lz goal mt lctxt lgmatch mhyps hyps =
  let rec apply_hyps_context_rec lfun lmatch lhyps_rest = function
    | hyp_pat::tl ->
	let (hypname, _, _ as hyp_pat) =
	  match hyp_pat with
	  | Hyp ((_,hypname),mhyp) -> hypname,  None, mhyp
	  | Def ((_,hypname),mbod,mhyp) -> hypname, Some mbod, mhyp
	in
        let rec match_next_pattern find_next =
          let (lids,lm,hyp_match,find_next') = find_next () in
          db_matched_hyp ist.debug (pf_env goal) hyp_match hypname;
	  try
            let id_match = pi1 hyp_match in
            let nextlhyps = list_remove_assoc_in_triple id_match lhyps_rest in
            apply_hyps_context_rec (lfun@lids) lm nextlhyps tl
          with e when is_match_catchable e ->
	    match_next_pattern find_next' in
        let init_match_pattern () =
          apply_one_mhyp_context ist env goal lmatch hyp_pat lhyps_rest in
        match_next_pattern init_match_pattern
    | [] ->
        let lfun = extend_values_with_bindings lmatch (lfun@ist.lfun) in
        db_mc_pattern_success ist.debug;
        eval_with_fail {ist with lfun=lfun} lz goal mt
  in
  apply_hyps_context_rec lctxt lgmatch hyps mhyps

and interp_external loc ist gl com req la =
  let f ch = extern_request ch req gl la in
  let g ch = internalise_tacarg ch in
  interp_tacarg ist gl (System.connect f g com)

  (* Interprets extended tactic generic arguments *)
and interp_genarg ist gl 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 gl (out_gen globwit_intro_pattern x))
  | IdentArgType b ->
      in_gen (wit_ident_gen b)
        (pf_interp_fresh_ident ist gl (out_gen (globwit_ident_gen b) x))
  | VarArgType ->
      in_gen wit_var (interp_hyp ist gl (out_gen globwit_var x))
  | RefArgType ->
      in_gen wit_ref (pf_interp_reference ist gl (out_gen globwit_ref x))
  | SortArgType ->
      in_gen wit_sort
        (destSort
	  (pf_interp_constr ist gl
	    (GSort (dloc,out_gen globwit_sort x), None)))
  | ConstrArgType ->
      in_gen wit_constr (pf_interp_constr ist gl (out_gen globwit_constr x))
  | ConstrMayEvalArgType ->
      in_gen wit_constr_may_eval (interp_constr_may_eval ist gl (out_gen globwit_constr_may_eval x))
  | QuantHypArgType ->
      in_gen wit_quant_hyp
        (interp_declared_or_quantified_hypothesis ist gl
          (out_gen globwit_quant_hyp x))
  | RedExprArgType ->
      in_gen wit_red_expr (pf_interp_red_expr ist gl (out_gen globwit_red_expr x))
  | OpenConstrArgType casted ->
      in_gen (wit_open_constr_gen casted)
        (interp_open_constr (if casted then Some (pf_concl gl) else None)
          ist (pf_env gl) (project gl)
          (snd (out_gen (globwit_open_constr_gen casted) x)))
  | ConstrWithBindingsArgType ->
      in_gen wit_constr_with_bindings
        (pack_sigma (interp_constr_with_bindings ist (pf_env gl) (project gl)
          (out_gen globwit_constr_with_bindings x)))
  | BindingsArgType ->
      in_gen wit_bindings
        (pack_sigma (interp_bindings ist (pf_env gl) (project gl) (out_gen globwit_bindings x)))
  | List0ArgType ConstrArgType -> interp_genarg_constr_list0 ist gl x
  | List1ArgType ConstrArgType -> interp_genarg_constr_list1 ist gl x
  | List0ArgType VarArgType -> interp_genarg_var_list0 ist gl x
  | List1ArgType VarArgType -> interp_genarg_var_list1 ist gl x
  | List0ArgType _ -> app_list0 (interp_genarg ist gl) x
  | List1ArgType _ -> app_list1 (interp_genarg ist gl) x
  | OptArgType _ -> app_opt (interp_genarg ist gl) x
  | PairArgType _ -> app_pair (interp_genarg ist gl) (interp_genarg ist gl) x
  | ExtraArgType s ->
      match tactic_genarg_level s with
      | Some n ->
          (* Special treatment of tactic arguments *)
          in_gen (wit_tactic n)
	    (TacArg(dloc,valueIn(VFun(ist.trace,ist.lfun,[],
				 out_gen (globwit_tactic n) x))))
      | None ->
          lookup_interp_genarg s ist gl x

and interp_genarg_constr_list0 ist gl x =
  let lc = out_gen (wit_list0 globwit_constr) x in
  let lc = pf_apply (interp_constr_list ist) gl lc in
  in_gen (wit_list0 wit_constr) lc

and interp_genarg_constr_list1 ist gl x =
  let lc = out_gen (wit_list1 globwit_constr) x in
  let lc = pf_apply (interp_constr_list ist) gl lc in
  in_gen (wit_list1 wit_constr) lc

and interp_genarg_var_list0 ist gl x =
  let lc = out_gen (wit_list0 globwit_var) x in
  let lc = interp_hyp_list ist gl lc in
  in_gen (wit_list0 wit_var) lc

and interp_genarg_var_list1 ist gl x =
  let lc = out_gen (wit_list1 globwit_var) x in
  let lc = interp_hyp_list ist gl lc in
  in_gen (wit_list1 wit_var) lc

(* Interprets the Match expressions *)
and interp_match ist g lz constr lmr =
  let rec apply_match_subterm app ist (id,c) csr mt =
    let rec match_next_pattern find_next () =
      let (lmatch,ctxt,find_next') = find_next () in
      let lctxt = give_context ctxt id in
      let lfun = extend_values_with_bindings (adjust lmatch) (lctxt@ist.lfun) in
      try eval_with_fail {ist with lfun=lfun} lz g mt
      with e when is_match_catchable e ->
        match_next_pattern find_next' () in
    match_next_pattern (fun () -> match_subterm_gen app c csr) () in
  let rec apply_match ist csr = function
    | (All t)::tl ->
        (try eval_with_fail ist lz g t
         with e when is_match_catchable e -> apply_match ist csr tl)
    | (Pat ([],Term c,mt))::tl ->
        (try
            let lmatch =
              try extended_matches c csr
              with e ->
                debugging_exception_step ist false e (fun () ->
                  str "matching with pattern" ++ fnl () ++
                  pr_constr_pattern_env (pf_env g) c);
                raise e in
            try
              let lfun = extend_values_with_bindings lmatch ist.lfun in
              eval_with_fail { ist with lfun=lfun } lz g mt
            with e ->
              debugging_exception_step ist false e (fun () ->
                str "rule body for pattern" ++
                pr_constr_pattern_env (pf_env g) c);
              raise e
         with e when is_match_catchable e ->
           debugging_step ist (fun () -> str "switching to the next rule");
           apply_match ist csr tl)

    | (Pat ([],Subterm (b,id,c),mt))::tl ->
        (try apply_match_subterm b ist (id,c) csr mt
         with PatternMatchingFailure -> apply_match ist csr tl)
    | _ ->
      errorlabstrm "Tacinterp.apply_match" (str
        "No matching clauses for match.") in
  let csr =
      try interp_ltac_constr ist g constr with e ->
        debugging_exception_step ist true e
          (fun () -> str "evaluation of the matched expression");
        raise e in
  let ilr = read_match_rule (fst (extract_ltac_constr_values ist (pf_env g))) ist (pf_env g) (project g) lmr in
  let res =
     try apply_match ist csr ilr with e ->
       debugging_exception_step ist true e (fun () -> str "match expression");
       raise e in
  debugging_step ist (fun () ->
    str "match expression returns " ++ pr_value (Some (pf_env g)) res);
  res

(* Interprets tactic expressions : returns a "constr" *)
and interp_ltac_constr ist gl e =
  let result =
  try val_interp ist gl e with Not_found ->
    debugging_step ist (fun () ->
      str "evaluation failed for" ++ fnl() ++
      Pptactic.pr_glob_tactic (pf_env gl) e);
    raise Not_found in
  try
    let cresult = constr_of_value (pf_env gl) result in
    debugging_step ist (fun () ->
      Pptactic.pr_glob_tactic (pf_env gl) e ++ fnl() ++
      str " has value " ++ fnl() ++
      pr_constr_under_binders_env (pf_env gl) cresult);
    if fst cresult <> [] then raise Not_found;
    snd cresult
  with Not_found ->
    errorlabstrm ""
      (str "Must evaluate to a closed term" ++ fnl() ++
	  str "offending expression: " ++ fnl() ++
          Pptactic.pr_glob_tactic (pf_env gl) e ++ fnl() ++ str "this is a " ++
          (match result with
            | VRTactic _ -> str "VRTactic"
            | VFun (_,il,ul,b) ->
                (str "VFun with body " ++ fnl() ++
                    Pptactic.pr_glob_tactic (pf_env gl) b ++ fnl() ++
		    str "instantiated arguments " ++ fnl() ++
                    List.fold_right
                    (fun p s ->
                      let (i,v) = p in str (string_of_id i) ++ str ", " ++ s)
                    il (str "") ++
                    str "uninstantiated arguments " ++ fnl() ++
                    List.fold_right
                    (fun opt_id s ->
                      (match opt_id with
                          Some id -> str (string_of_id id)
                        | None -> str "_") ++ str ", " ++ s)
                    ul (mt()))
            | VVoid -> str "VVoid"
            | VInteger _ -> str "VInteger"
            | VConstr _ -> str "VConstr"
            | VIntroPattern _ -> str "VIntroPattern"
            | VConstr_context _ -> str "VConstrr_context"
            | VRec _ -> str "VRec"
            | VList _ -> str "VList") ++ str".")

(* Interprets tactic expressions : returns a "tactic" *)
and interp_tactic ist tac gl =
  tactic_of_value ist (val_interp ist gl tac) gl

(* Interprets a primitive tactic *)
and interp_atomic ist gl tac =
  let env = pf_env gl and sigma = project gl in
  match tac with
  (* Basic tactics *)
  | TacIntroPattern l ->
      h_intro_patterns (interp_intro_pattern_list_as_list ist gl l)
  | TacIntrosUntil hyp ->
      h_intros_until (interp_quantified_hypothesis ist hyp)
  | TacIntroMove (ido,hto) ->
      h_intro_move (Option.map (interp_fresh_ident ist env) ido)
                   (interp_move_location ist gl hto)
  | TacAssumption -> h_assumption
  | TacExact c -> h_exact (pf_interp_casted_constr ist gl c)
  | TacExactNoCheck c -> h_exact_no_check (pf_interp_constr ist gl c)
  | TacVmCastNoCheck c -> h_vm_cast_no_check (pf_interp_constr ist gl c)
  | TacApply (a,ev,cb,cl) ->
      let sigma, l =
        list_fold_map (interp_open_constr_with_bindings_loc ist env) sigma cb
      in
      let tac = match cl with
        | None -> h_apply a ev
        | Some cl ->
            (fun l -> h_apply_in a ev l (interp_in_hyp_as ist gl cl)) in
      tclWITHHOLES ev tac sigma l
  | TacElim (ev,cb,cbo) ->
      let sigma, cb = interp_constr_with_bindings ist env sigma cb in
      let sigma, cbo = Option.fold_map (interp_constr_with_bindings ist env) sigma cbo in
      tclWITHHOLES ev (h_elim ev cb) sigma cbo
  | TacElimType c -> h_elim_type (pf_interp_type ist gl c)
  | TacCase (ev,cb) ->
      let sigma, cb = interp_constr_with_bindings ist env sigma cb in
      tclWITHHOLES ev (h_case ev) sigma cb
  | TacCaseType c -> h_case_type (pf_interp_type ist gl c)
  | TacFix (idopt,n) -> h_fix (Option.map (interp_fresh_ident ist env) idopt) n
  | TacMutualFix (b,id,n,l) ->
      let f (id,n,c) = (interp_fresh_ident ist env id,n,pf_interp_type ist gl c)
      in h_mutual_fix b (interp_fresh_ident ist env id) n (List.map f l)
  | TacCofix idopt -> h_cofix (Option.map (interp_fresh_ident ist env) idopt)
  | TacMutualCofix (b,id,l) ->
      let f (id,c) = (interp_fresh_ident ist env id,pf_interp_type ist gl c) in
      h_mutual_cofix b (interp_fresh_ident ist env id) (List.map f l)
  | TacCut c -> h_cut (pf_interp_type ist gl c)
  | TacAssert (t,ipat,c) ->
      let c = (if t=None then interp_constr else interp_type) ist env sigma c in
      abstract_tactic (TacAssert (t,ipat,c))
        (Tactics.forward (Option.map (interp_tactic ist) t)
	  (Option.map (interp_intro_pattern ist gl) ipat) c)
  | TacGeneralize cl ->
      let sigma, cl = interp_constr_with_occurrences_and_name_as_list ist env sigma cl in
      tclWITHHOLES false (h_generalize_gen) sigma cl
  | TacGeneralizeDep c -> h_generalize_dep (pf_interp_constr ist gl c)
  | TacLetTac (na,c,clp,b) ->
      let clp = interp_clause ist gl clp in
      if clp = nowhere then
        (* We try to fully-typechect the term *)
        h_let_tac b (interp_fresh_name ist env na)
          (pf_interp_constr ist gl c) clp
      else
        (* We try to keep the pattern structure as much as possible *)
        h_let_pat_tac b (interp_fresh_name ist env na)
          (interp_pure_open_constr ist env sigma c) clp

  (* Automation tactics *)
  | TacTrivial (lems,l) ->
      Auto.h_trivial
	(interp_auto_lemmas ist env sigma lems)
	(Option.map (List.map (interp_hint_base ist)) l)
  | TacAuto (n,lems,l) ->
      Auto.h_auto (Option.map (interp_int_or_var ist) n)
	(interp_auto_lemmas ist env sigma lems)
	(Option.map (List.map (interp_hint_base ist)) 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,lems) ->
      Auto.h_dauto (Option.map (interp_int_or_var ist) n,p)
      (interp_auto_lemmas ist env sigma lems)

  (* Derived basic tactics *)
  | TacSimpleInductionDestruct (isrec,h) ->
      h_simple_induction_destruct isrec (interp_quantified_hypothesis ist h)
  | TacInductionDestruct (isrec,ev,(l,cls)) ->
      let sigma, l =
        list_fold_map (fun sigma (lc,cbo,(ipato,ipats)) ->
          let lc = List.map (interp_induction_arg ist gl) lc in
	  let sigma,cbo =
            Option.fold_map (interp_constr_with_bindings ist env) sigma cbo in
          (sigma,(lc,cbo,
            (Option.map (interp_intro_pattern ist gl) ipato,
	     Option.map (interp_intro_pattern ist gl) ipats)))) sigma l in
      let cls = Option.map (interp_clause ist gl) cls in
      tclWITHHOLES ev (h_induction_destruct isrec ev) sigma (l,cls)
  | 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,cb) ->
      let sigma, cb = interp_constr_with_bindings ist env sigma cb in
      tclWITHHOLES false (h_specialize n) sigma cb
  | TacLApply c -> h_lapply (pf_interp_constr ist gl c)

  (* Context management *)
  | TacClear (b,l) -> h_clear b (interp_hyp_list ist gl l)
  | TacClearBody l -> h_clear_body (interp_hyp_list ist gl l)
  | TacMove (dep,id1,id2) ->
      h_move dep (interp_hyp ist gl id1) (interp_move_location ist gl id2)
  | TacRename l ->
      h_rename (List.map (fun (id1,id2) ->
			    interp_hyp ist gl id1,
			    interp_fresh_ident ist env (snd id2)) l)
  | TacRevert l -> h_revert (interp_hyp_list ist gl l)

  (* Constructors *)
  | TacLeft (ev,bl) ->
      let sigma, bl = interp_bindings ist env sigma bl in
      tclWITHHOLES ev (h_left ev) sigma bl
  | TacRight (ev,bl) ->
      let sigma, bl = interp_bindings ist env sigma bl in
      tclWITHHOLES ev (h_right ev) sigma bl
  | TacSplit (ev,_,bll) ->
      let sigma, bll = list_fold_map (interp_bindings ist env) sigma bll in
      tclWITHHOLES ev (h_split ev) sigma bll
  | TacAnyConstructor (ev,t) ->
      abstract_tactic (TacAnyConstructor (ev,t))
        (Tactics.any_constructor ev (Option.map (interp_tactic ist) t))
  | TacConstructor (ev,n,bl) ->
      let sigma, bl = interp_bindings ist env sigma bl in
      tclWITHHOLES ev (h_constructor ev (interp_int_or_var ist n)) sigma bl

  (* Conversion *)
  | TacReduce (r,cl) ->
      h_reduce (pf_interp_red_expr ist gl r) (interp_clause ist gl cl)
  | TacChange (None,c,cl) ->
      h_change None
        (if (cl.onhyps = None or cl.onhyps = Some []) &
	    (cl.concl_occs = all_occurrences_expr or
	     cl.concl_occs = no_occurrences_expr)
	 then pf_interp_type ist gl c
	 else pf_interp_constr ist gl c)
        (interp_clause ist gl cl)
  | TacChange (Some op,c,cl) ->
      let sign,op = interp_typed_pattern ist env sigma op in
      h_change (Some op)
        (try pf_interp_constr ist (extend_gl_hyps gl sign) c
	 with Not_found | Anomaly _ (* Hack *) ->
	   errorlabstrm "" (strbrk "Failed to get enough information from the left-hand side to type the right-hand side."))
        (interp_clause ist gl cl)

  (* Equivalence relations *)
  | TacReflexivity -> h_reflexivity
  | TacSymmetry c -> h_symmetry (interp_clause ist gl c)
  | TacTransitivity c -> h_transitivity (Option.map (pf_interp_constr ist gl) c)

  (* Equality and inversion *)
  | TacRewrite (ev,l,cl,by) ->
      let l = List.map (fun (b,m,c) ->
        let f env sigma = interp_open_constr_with_bindings ist env sigma c in
	(b,m,f)) l in
      let cl = interp_clause ist gl cl in
      Equality.general_multi_multi_rewrite ev l cl
        (Option.map (fun by -> tclCOMPLETE (interp_tactic ist by), Equality.Naive) by)
  | TacInversion (DepInversion (k,c,ids),hyp) ->
      Inv.dinv k (Option.map (pf_interp_constr ist gl) c)
        (Option.map (interp_intro_pattern ist gl) ids)
        (interp_declared_or_quantified_hypothesis ist gl hyp)
  | TacInversion (NonDepInversion (k,idl,ids),hyp) ->
      Inv.inv_clause k
        (Option.map (interp_intro_pattern ist gl) ids)
        (interp_hyp_list 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)
        (interp_hyp_list ist gl idl)

  (* For extensions *)
  | TacExtend (loc,opn,l) ->
      let tac = lookup_tactic opn in
      let args = List.map (interp_genarg ist gl) l in
      abstract_extended_tactic opn args (tac args)
  | TacAlias (loc,s,l,(_,body)) -> fun gl ->
    let rec f x = match genarg_tag x with
    | IntArgType ->
        VInteger (out_gen globwit_int x)
    | IntOrVarArgType ->
        mk_int_or_var_value ist (out_gen globwit_int_or_var x)
    | PreIdentArgType ->
	failwith "pre-identifiers cannot be bound"
    | IntroPatternArgType ->
	VIntroPattern
	  (snd (interp_intro_pattern ist gl (out_gen globwit_intro_pattern x)))
    | IdentArgType b ->
	value_of_ident (interp_fresh_ident ist env
	  (out_gen (globwit_ident_gen b) x))
    | VarArgType ->
        mk_hyp_value ist gl (out_gen globwit_var x)
    | RefArgType ->
        VConstr ([],constr_of_global
          (pf_interp_reference ist gl (out_gen globwit_ref x)))
    | SortArgType ->
        VConstr ([],mkSort (interp_sort (out_gen globwit_sort x)))
    | ConstrArgType ->
        mk_constr_value ist gl (out_gen globwit_constr x)
    | ConstrMayEvalArgType ->
	VConstr
          ([],interp_constr_may_eval ist gl (out_gen globwit_constr_may_eval x))
    | ExtraArgType s when tactic_genarg_level s <> None ->
          (* Special treatment of tactic arguments *)
	val_interp ist gl
          (out_gen (globwit_tactic (Option.get (tactic_genarg_level s))) x)
    | List0ArgType ConstrArgType ->
        let wit = wit_list0 globwit_constr in
        VList (List.map (mk_constr_value ist gl) (out_gen wit x))
    | List0ArgType VarArgType ->
        let wit = wit_list0 globwit_var in
        VList (List.map (mk_hyp_value ist gl) (out_gen wit x))
    | List0ArgType IntArgType ->
        let wit = wit_list0 globwit_int in
        VList (List.map (fun x -> VInteger x) (out_gen wit x))
    | List0ArgType IntOrVarArgType ->
        let wit = wit_list0 globwit_int_or_var in
        VList (List.map (mk_int_or_var_value ist) (out_gen wit x))
    | List0ArgType (IdentArgType b) ->
        let wit = wit_list0 (globwit_ident_gen b) in
	let mk_ident x = value_of_ident (interp_fresh_ident ist env x) in
        VList (List.map mk_ident (out_gen wit x))
    | List0ArgType IntroPatternArgType ->
        let wit = wit_list0 globwit_intro_pattern in
	let mk_ipat x = VIntroPattern (snd (interp_intro_pattern ist gl x)) in
        VList (List.map mk_ipat (out_gen wit x))
    | List1ArgType ConstrArgType ->
        let wit = wit_list1 globwit_constr in
        VList (List.map (mk_constr_value ist gl) (out_gen wit x))
    | List1ArgType VarArgType ->
        let wit = wit_list1 globwit_var in
        VList (List.map (mk_hyp_value ist gl) (out_gen wit x))
    | List1ArgType IntArgType ->
        let wit = wit_list1 globwit_int in
        VList (List.map (fun x -> VInteger x) (out_gen wit x))
    | List1ArgType IntOrVarArgType ->
        let wit = wit_list1 globwit_int_or_var in
        VList (List.map (mk_int_or_var_value ist) (out_gen wit x))
    | List1ArgType (IdentArgType b) ->
        let wit = wit_list1 (globwit_ident_gen b) in
	let mk_ident x = value_of_ident (interp_fresh_ident ist env x) in
        VList (List.map mk_ident (out_gen wit x))
    | List1ArgType IntroPatternArgType ->
        let wit = wit_list1 globwit_intro_pattern in
	let mk_ipat x = VIntroPattern (snd (interp_intro_pattern ist gl x)) in
        VList (List.map mk_ipat (out_gen wit x))
    | StringArgType | BoolArgType
    | QuantHypArgType | RedExprArgType
    | OpenConstrArgType _ | ConstrWithBindingsArgType
    | ExtraArgType _ | BindingsArgType
    | OptArgType _ | PairArgType _
    | List0ArgType _ | List1ArgType _
	-> 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 trace = push_trace (loc,LtacNotationCall s) ist.trace in
    interp_tactic { ist with lfun=lfun; trace=trace } body gl

let make_empty_glob_sign () =
  { ltacvars = ([],[]); ltacrecvars = [];
    gsigma = Evd.empty; genv = Global.env() }

(* Initial call for interpretation *)
let interp_tac_gen lfun avoid_ids debug t gl =
  interp_tactic { lfun=lfun; avoid_ids=avoid_ids; debug=debug; trace=[] }
    (intern_tactic true {
      ltacvars = (List.map fst lfun, []); ltacrecvars = [];
      gsigma = project gl; genv = pf_env gl } t) gl

let eval_tactic t gls =
  db_initialize ();
  interp_tactic { lfun=[]; avoid_ids=[]; debug=get_debug(); trace=[] }
    t gls

let interp t = interp_tac_gen [] [] (get_debug()) t

let eval_ltac_constr gl t =
  interp_ltac_constr
    { lfun=[]; avoid_ids=[]; debug=get_debug(); trace=[] } gl
    (intern_tactic_or_tacarg (make_empty_glob_sign ()) 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 true ist t in
  let t = eval_tactic te in
  match ot with
  | None -> abstract_tactic_expr (TacArg (dloc,Tacexp te)) t gl
  | Some t' ->
      abstract_tactic_expr ~dflt:true (TacArg (dloc,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_glob_constr_and_expr subst (c,e) =
  assert (e=None); (* e<>None only for toplevel tactics *)
  (Detyping.subst_glob_constr subst c,None)

let subst_glob_constr = subst_glob_constr_and_expr (* shortening *)

let subst_binding subst (loc,b,c) =
  (loc,subst_quantified_hypothesis subst b,subst_glob_constr subst c)

let subst_bindings subst = function
  | NoBindings -> NoBindings
  | ImplicitBindings l -> ImplicitBindings (List.map (subst_glob_constr subst) l)
  | ExplicitBindings l -> ExplicitBindings (List.map (subst_binding subst) l)

let subst_glob_with_bindings subst (c,bl) =
  (subst_glob_constr subst c, subst_bindings subst bl)

let subst_induction_arg subst = function
  | ElimOnConstr c -> ElimOnConstr (subst_glob_with_bindings subst c)
  | ElimOnAnonHyp n as x -> x
  | ElimOnIdent id as x -> x

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) = (dloc,f id)

let subst_reference subst =
  subst_or_var (subst_located (subst_kn subst))

(*CSC: subst_global_reference is used "only" for RefArgType, that propagates
  to the syntactic non-terminals "global", used in commands such as
  Print. It is also used for non-evaluable references. *)
let subst_global_reference subst =
 let subst_global ref =
  let ref',t' = subst_global subst ref in
   if not (eq_constr (constr_of_global ref') t') then
    ppnl (str "Warning: The reference " ++ pr_global ref ++ str " is not " ++
          str " expanded to \"" ++ pr_lconstr t' ++ str "\", but to " ++
          pr_global ref') ;
   ref'
 in
  subst_or_var (subst_located subst_global)

let subst_evaluable subst =
  let subst_eval_ref = subst_evaluable_reference subst in
    subst_or_var (subst_and_short_name subst_eval_ref)

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_with_occurrences subst (l,c) = (l,subst_glob_constr subst c)

let subst_glob_constr_or_pattern subst (c,p) =
  (subst_glob_constr subst c,subst_pattern subst p)

let subst_pattern_with_occurrences subst (l,p) =
  (l,subst_glob_constr_or_pattern subst p)

let subst_redexp subst = function
  | Unfold l -> Unfold (List.map (subst_unfold subst) l)
  | Fold l -> Fold (List.map (subst_glob_constr subst) l)
  | Cbv f -> Cbv (subst_flag subst f)
  | Lazy f -> Lazy (subst_flag subst f)
  | Pattern l -> Pattern (List.map (subst_constr_with_occurrences subst) l)
  | Simpl o -> Simpl (Option.map (subst_pattern_with_occurrences subst) o)
  | CbvVm o -> CbvVm (Option.map (subst_pattern_with_occurrences subst) o)
  | (Red _ | Hnf | ExtraRedExpr _ as r) -> r

let subst_raw_may_eval subst = function
  | ConstrEval (r,c) -> ConstrEval (subst_redexp subst r,subst_glob_constr subst c)
  | ConstrContext (locid,c) -> ConstrContext (locid,subst_glob_constr subst c)
  | ConstrTypeOf c -> ConstrTypeOf (subst_glob_constr subst c)
  | ConstrTerm c -> ConstrTerm (subst_glob_constr subst c)

let subst_match_pattern subst = function
  | Subterm (b,ido,pc) -> Subterm (b,ido,(subst_glob_constr_or_pattern subst pc))
  | Term pc -> Term (subst_glob_constr_or_pattern subst pc)

let rec subst_match_goal_hyps subst = function
  | Hyp (locs,mp) :: tl ->
      Hyp (locs,subst_match_pattern subst mp)
      :: subst_match_goal_hyps subst tl
  | Def (locs,mv,mp) :: tl ->
      Def (locs,subst_match_pattern subst mv, subst_match_pattern subst mp)
      :: subst_match_goal_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_glob_constr subst c)
  | TacExactNoCheck c -> TacExactNoCheck (subst_glob_constr subst c)
  | TacVmCastNoCheck c -> TacVmCastNoCheck (subst_glob_constr subst c)
  | TacApply (a,ev,cb,cl) ->
      TacApply (a,ev,List.map (subst_glob_with_bindings subst) cb,cl)
  | TacElim (ev,cb,cbo) ->
      TacElim (ev,subst_glob_with_bindings subst cb,
               Option.map (subst_glob_with_bindings subst) cbo)
  | TacElimType c -> TacElimType (subst_glob_constr subst c)
  | TacCase (ev,cb) -> TacCase (ev,subst_glob_with_bindings subst cb)
  | TacCaseType c -> TacCaseType (subst_glob_constr subst c)
  | TacFix (idopt,n) as x -> x
  | TacMutualFix (b,id,n,l) ->
      TacMutualFix(b,id,n,List.map (fun (id,n,c) -> (id,n,subst_glob_constr subst c)) l)
  | TacCofix idopt as x -> x
  | TacMutualCofix (b,id,l) ->
      TacMutualCofix (b,id, List.map (fun (id,c) -> (id,subst_glob_constr subst c)) l)
  | TacCut c -> TacCut (subst_glob_constr subst c)
  | TacAssert (b,na,c) ->
      TacAssert (Option.map (subst_tactic subst) b,na,subst_glob_constr subst c)
  | TacGeneralize cl ->
      TacGeneralize (List.map (on_fst (subst_constr_with_occurrences subst))cl)
  | TacGeneralizeDep c -> TacGeneralizeDep (subst_glob_constr subst c)
  | TacLetTac (id,c,clp,b) -> TacLetTac (id,subst_glob_constr subst c,clp,b)

  (* Automation tactics *)
  | TacTrivial (lems,l) -> TacTrivial (List.map (subst_glob_constr subst) lems,l)
  | TacAuto (n,lems,l) -> TacAuto (n,List.map (subst_glob_constr subst) lems,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,lems) -> TacDAuto (n,p,List.map (subst_glob_constr subst) lems)

  (* Derived basic tactics *)
  | TacSimpleInductionDestruct (isrec,h) as x -> x
  | TacInductionDestruct (isrec,ev,(l,cls)) ->
      TacInductionDestruct (isrec,ev,(List.map (fun (lc,cbo,ids) ->
	List.map (subst_induction_arg subst) lc,
        Option.map (subst_glob_with_bindings subst) cbo, ids) l, cls))
  | TacDoubleInduction (h1,h2) as x -> x
  | TacDecomposeAnd c -> TacDecomposeAnd (subst_glob_constr subst c)
  | TacDecomposeOr c -> TacDecomposeOr (subst_glob_constr subst c)
  | TacDecompose (l,c) ->
      let l = List.map (subst_or_var (subst_inductive subst)) l in
      TacDecompose (l,subst_glob_constr subst c)
  | TacSpecialize (n,l) -> TacSpecialize (n,subst_glob_with_bindings subst l)
  | TacLApply c -> TacLApply (subst_glob_constr subst c)

  (* Context management *)
  | TacClear _ as x -> x
  | TacClearBody l as x -> x
  | TacMove (dep,id1,id2) as x -> x
  | TacRename l as x -> x
  | TacRevert _ as x -> x

  (* Constructors *)
  | TacLeft (ev,bl) -> TacLeft (ev,subst_bindings subst bl)
  | TacRight (ev,bl) -> TacRight (ev,subst_bindings subst bl)
  | TacSplit (ev,b,bll) -> TacSplit (ev,b,List.map (subst_bindings subst) bll)
  | TacAnyConstructor (ev,t) -> TacAnyConstructor (ev,Option.map (subst_tactic subst) t)
  | TacConstructor (ev,n,bl) -> TacConstructor (ev,n,subst_bindings subst bl)

  (* Conversion *)
  | TacReduce (r,cl) -> TacReduce (subst_redexp subst r, cl)
  | TacChange (op,c,cl) ->
      TacChange (Option.map (subst_glob_constr_or_pattern subst) op,
        subst_glob_constr subst c, cl)

  (* Equivalence relations *)
  | TacReflexivity | TacSymmetry _ as x -> x
  | TacTransitivity c -> TacTransitivity (Option.map (subst_glob_constr subst) c)

  (* Equality and inversion *)
  | TacRewrite (ev,l,cl,by) ->
      TacRewrite (ev,
		  List.map (fun (b,m,c) ->
			      b,m,subst_glob_with_bindings subst c) l,
		 cl,Option.map (subst_tactic subst) by)
  | TacInversion (DepInversion (k,c,l),hyp) ->
     TacInversion (DepInversion (k,Option.map (subst_glob_constr subst) c,l),hyp)
  | TacInversion (NonDepInversion _,_) as x -> x
  | TacInversion (InversionUsing (c,cl),hyp) ->
      TacInversion (InversionUsing (subst_glob_constr subst c,cl),hyp)

  (* For extensions *)
  | TacExtend (_loc,opn,l) ->
      TacExtend (dloc,opn,List.map (subst_genarg subst) l)
  | TacAlias (_,s,l,(dir,body)) ->
      TacAlias (dloc,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 (dloc, subst_atomic subst t)
  | TacFun tacfun -> TacFun (subst_tactic_fun subst tacfun)
  | TacLetIn (r,l,u) ->
      let l = List.map (fun (n,b) -> (n,subst_tacarg subst b)) l in
      TacLetIn (r,l,subst_tactic subst u)
  | TacMatchGoal (lz,lr,lmr) ->
      TacMatchGoal(lz,lr, subst_match_rule subst lmr)
  | TacMatch (lz,c,lmr) ->
      TacMatch (lz,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,tf,t2,tl) ->
      TacThen (subst_tactic subst t1,Array.map (subst_tactic subst) tf,
	       subst_tactic subst t2,Array.map (subst_tactic subst) tl)
  | TacThens (t,tl) ->
      TacThens (subst_tactic subst t, List.map (subst_tactic subst) tl)
  | TacDo (n,tac) -> TacDo (n,subst_tactic subst tac)
  | TacTimeout (n,tac) -> TacTimeout (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)
  | TacComplete tac -> TacComplete (subst_tactic subst tac)
  | TacArg (_,a) -> TacArg (dloc,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)
  | TacExternal (_loc,com,req,la) ->
      TacExternal (_loc,com,req,List.map (subst_tacarg subst) la)
  | (TacVoid | IntroPattern _ | Integer _ | TacFreshId _) as x -> x
  | Tacexp t -> Tacexp (subst_tactic subst t)
  | TacDynamic(the_loc,t) as x ->
      (match Dyn.tag t with
	| "tactic" | "value" -> x
        | "constr" ->
          TacDynamic(the_loc, constr_in (subst_mps subst (constr_out t)))
	| s -> anomaly_loc (dloc, "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_goal_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 b ->
      in_gen (globwit_ident_gen b) (out_gen (globwit_ident_gen b) x)
  | VarArgType -> 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_glob_constr 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))
  | OpenConstrArgType b ->
      in_gen (globwit_open_constr_gen b)
        ((),subst_glob_constr subst (snd (out_gen (globwit_open_constr_gen b) x)))
  | ConstrWithBindingsArgType ->
      in_gen globwit_constr_with_bindings
        (subst_glob_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 ->
      match tactic_genarg_level s with
      | Some n ->
          (* Special treatment of tactic arguments *)
          in_gen (globwit_tactic n)
            (subst_tactic subst (out_gen (globwit_tactic n) x))
      | None ->
          lookup_genarg_subst s subst x

(***************************************************************************)
(* Tactic registration *)

(* Declaration of the TAC-DEFINITION object *)
let add (kn,td) = mactab := Gmap.add kn td !mactab
let replace (kn,td) = mactab := Gmap.add kn td (Gmap.remove kn !mactab)

type tacdef_kind = | NewTac of identifier
		   | UpdateTac of ltac_constant

let load_md i ((sp,kn),(local,defs)) =
  let dp,_ = repr_path sp in
  let mp,dir,_ = repr_kn kn in
  List.iter (fun (id,t) ->
    match id with
	NewTac id ->
	  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)
      | UpdateTac kn -> replace (kn,t)) defs

let open_md i ((sp,kn),(local,defs)) =
  let dp,_ = repr_path sp in
  let mp,dir,_ = repr_kn kn in
  List.iter (fun (id,t) ->
    match id with
	NewTac id ->
	  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
      | UpdateTac kn -> ()) defs

let cache_md x = load_md 1 x

let subst_kind subst id =
  match id with
    | NewTac _ -> id
    | UpdateTac kn -> UpdateTac (subst_kn subst kn)

let subst_md (subst,(local,defs)) =
  (local,
   List.map (fun (id,t) -> (subst_kind subst id,subst_tactic subst t)) defs)

let classify_md (local,defs as o) =
  if local then Dispose else Substitute o

let inMD : bool * (tacdef_kind * glob_tactic_expr) list -> obj =
  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 = classify_md}

let rec split_ltac_fun = function
  | TacFun (l,t) -> (l,t)
  | t -> ([],t)

let pr_ltac_fun_arg = function
  | None -> spc () ++ str "_"
  | Some id -> spc () ++ pr_id id

let print_ltac id =
 try
  let kn = Nametab.locate_tactic id in
  let l,t = split_ltac_fun (lookup kn) in
  hv 2 (
    hov 2 (str "Ltac" ++ spc() ++ pr_qualid id ++
           prlist pr_ltac_fun_arg l ++ spc () ++ str ":=")
    ++ spc() ++ Pptactic.pr_glob_tactic (Global.env ()) t)
 with
  Not_found ->
   errorlabstrm "print_ltac"
    (pr_qualid id ++ spc() ++ str "is not a user defined tactic.")

open Libnames

(* Adds a definition for tactics in the table *)
let make_absolute_name ident repl =
  let loc = loc_of_reference ident in
  try
    let id, kn =
      if repl then None, Nametab.locate_tactic (snd (qualid_of_reference ident))
      else let id = coerce_reference_to_id ident in
	     Some id, Lib.make_kn id
    in
      if Gmap.mem kn !mactab then
	if repl then id, kn
	else
	  user_err_loc (loc,"Tacinterp.add_tacdef",
		       str "There is already an Ltac named " ++ pr_reference ident ++ str".")
      else if is_atomic_kn kn then
	user_err_loc (loc,"Tacinterp.add_tacdef",
		     str "Reserved Ltac name " ++ pr_reference ident ++ str".")
      else id, kn
  with Not_found ->
    user_err_loc (loc,"Tacinterp.add_tacdef",
		 str "There is no Ltac named " ++ pr_reference ident ++ str".")

let add_tacdef local isrec tacl =
  let rfun = List.map (fun (ident, b, _) -> make_absolute_name ident b) tacl in
  let ist =
    {(make_empty_glob_sign()) with ltacrecvars =
	if isrec then list_map_filter
	  (function (Some id, qid) -> Some (id, qid) | (None, _) -> None) rfun
	else []} in
  let gtacl =
    List.map2 (fun (_,b,def) (id, qid) ->
      let k = if b then UpdateTac qid else NewTac (Option.get id) in
      let t = Flags.with_option strict_check (intern_tactic_or_tacarg ist) def in
	(k, t))
      tacl rfun in
  let id0 = fst (List.hd rfun) in
  let _ = match id0 with
    | Some id0 -> ignore(Lib.add_leaf id0 (inMD (local,gtacl)))
    | _ -> Lib.add_anonymous_leaf (inMD (local,gtacl)) in
  List.iter
    (fun (id,b,_) ->
      Flags.if_verbose msgnl (Libnames.pr_reference id ++
				 (if b then str " is redefined"
				   else str " is defined")))
    tacl

(***************************************************************************)
(* Other entry points *)

let glob_tactic x =
  Flags.with_option strict_check (intern_tactic true (make_empty_glob_sign ())) x

let glob_tactic_env l env x =
  Flags.with_option strict_check
  (intern_pure_tactic
    { ltacvars = (l,[]); ltacrecvars = []; gsigma = Evd.empty; genv = env })
    x

let interp_redexp env sigma r =
  let ist = { lfun=[]; avoid_ids=[]; debug=get_debug (); trace=[] } in
  let gist = {(make_empty_glob_sign ()) with genv = env; gsigma = sigma } in
  interp_red_expr ist sigma env (intern_red_expr gist r)

(***************************************************************************)
(* Embed tactics in raw or glob tactic expr *)

let globTacticIn t = TacArg (dloc,TacDynamic (dloc,tactic_in t))
let tacticIn t =
  globTacticIn (fun ist ->
    try glob_tactic (t ist)
    with e -> anomalylabstrm "tacticIn"
      (str "Incorrect tactic expression. Received exception is:" ++
       Errors.print e))

let tacticOut = function
  | TacArg (_,TacDynamic (_,d)) ->
    if (Dyn.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*) )

(***************************************************************************)
(* 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;avoid_ids=[];debug=get_debug(); trace=[]})
let _ = Auto.set_extern_intern_tac
  (fun l ->
    Flags.with_option strict_check
    (intern_pure_tactic {(make_empty_glob_sign()) with ltacvars=(l,[])}))
let _ = Auto.set_extern_subst_tactic subst_tactic
let _ = Dhyp.set_extern_interp eval_tactic