path: root/tactics/tacinterp.ml

(************************************************************************)
(*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
(* <O___,, *   INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2012     *)
(*   \VV/  **************************************************************)
(*    //   *      This file is distributed under the terms of the       *)
(*         *       GNU Lesser General Public License Version 2.1        *)
(************************************************************************)

open Constrintern
open Patternops
open Pp
open Genredexpr
open Glob_term
open Glob_ops
open Tacred
open Errors
open Util
open Names
open Nameops
open Libnames
open Globnames
open Nametab
open Pfedit
open Proof_type
open Refiner
open Tacmach
open Tactic_debug
open Constrexpr
open Term
open Termops
open Tacexpr
open Genarg
open Stdarg
open Constrarg
open Printer
open Pretyping
open Evd
open Misctypes
open Locus
open Tacintern
open Taccoerce
open Proofview.Notations

let safe_msgnl s =
  Proofview.NonLogical.catch
    (Proofview.NonLogical.print (s++fnl()))
    (fun _ -> Proofview.NonLogical.print (str "bug in the debugger: an exception is raised while printing debug information"++fnl()))

type value = tlevel generic_argument

(* Values for interpretation *)
type tacvalue =
  | VRTactic (* variant of unit returned by match. For historical reasons. *)
  | VFun of ltac_trace * value Id.Map.t *
      Id.t option list * glob_tactic_expr
  | VRec of value Id.Map.t ref * glob_tactic_expr

let (wit_tacvalue : (Empty.t, Empty.t, tacvalue) Genarg.genarg_type) =
  Genarg.create_arg None "tacvalue"

let of_tacvalue v = in_gen (topwit wit_tacvalue) v
let to_tacvalue v = out_gen (topwit wit_tacvalue) v

module Value = Taccoerce.Value

let dloc = Loc.ghost

let catching_error call_trace fail e =
  let inner_trace =
    Option.default [] (Exninfo.get e ltac_trace_info)
  in
  if List.is_empty call_trace && List.is_empty inner_trace then fail e
  else begin
    assert (Errors.noncritical e); (* preserved invariant *)
    let new_trace = inner_trace @ call_trace in
    let located_exc = Exninfo.add e ltac_trace_info new_trace in
    fail located_exc
  end

module TacStore = Geninterp.TacStore

let f_avoid_ids : Id.t list TacStore.field = TacStore.field ()
(* ids inherited from the call context (needed to get fresh ids) *)
let f_debug : debug_info TacStore.field = TacStore.field ()
let f_trace : ltac_trace TacStore.field = TacStore.field ()

let catch_error call_trace f x =
  try f x
  with e when Errors.noncritical e ->
    let e = Errors.push e in
    catching_error call_trace raise e

let catch_error_tac call_trace tac =
  Proofview.tclORELSE
    tac
    (catching_error call_trace Proofview.tclZERO)

(* Signature for interpretation: val_interp and interpretation functions *)
type interp_sign = Geninterp.interp_sign = {
  lfun : value Id.Map.t;
  extra : TacStore.t }

let curr_debug ist = match TacStore.get ist.extra f_debug with
| None -> DebugOff
| Some level -> level

(** TODO: unify printing of generic Ltac values in case of coercion failure. *)

(* Displays a value *)
let pr_value env v =
  let v = Value.normalize v in
  if has_type v (topwit wit_tacvalue) then str "a tactic"
  else if has_type v (topwit wit_constr_context) then
    let c = out_gen (topwit wit_constr_context) v in
    match env with
    | Some env -> pr_lconstr_env env c
    | _ -> str "a term"
  else if has_type v (topwit wit_constr) then
    let c = out_gen (topwit wit_constr) v in
    match env with
    | Some env -> pr_lconstr_env env c
    | _ -> str "a term"
  else if has_type v (topwit wit_constr_under_binders) then
    let c = out_gen (topwit wit_constr_under_binders) v in
    match env with
    | Some env -> pr_lconstr_under_binders_env  env c
    | _ -> str "a term"
  else
    str "a value of type" ++ spc () ++ pr_argument_type (genarg_tag v)

let pr_inspect env expr result =
  let pp_expr = Pptactic.pr_glob_tactic env expr in
  let pp_result =
    if has_type result (topwit wit_tacvalue) then
    match to_tacvalue result with
    | VRTactic -> str "a VRTactic"
    | VFun (_, il, ul, b) ->
      let pp_body = Pptactic.pr_glob_tactic env b in
      let pr_sep () = str ", " in
      let pr_iarg (id, _) = pr_id id in
      let pr_uarg = function
      | None -> str "_"
      | Some id -> pr_id id
      in
      let pp_iargs = prlist_with_sep pr_sep pr_iarg (Id.Map.bindings il) in
      let pp_uargs = prlist_with_sep pr_sep pr_uarg ul in
      str "a VFun with body " ++ fnl() ++ pp_body ++ fnl() ++
        str "instantiated arguments " ++ fnl() ++ pp_iargs ++ fnl () ++
        str "uninstantiated arguments " ++ fnl() ++ pp_uargs
    | VRec _ -> str "a VRec"
    else
      let pp_type = pr_argument_type (genarg_tag result) in
      str "an object of type" ++ spc () ++ pp_type
  in
  pp_expr ++ fnl() ++ str "this is " ++ pp_result

(* 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 (Loc.ghost, value_in t)

(** Generic arguments : table of interpretation functions *)

let push_trace call ist = match TacStore.get ist.extra f_trace with
| None -> [call]
| Some trace -> call :: trace

let extract_trace ist = match TacStore.get ist.extra f_trace with
| None -> []
| Some l -> l

let propagate_trace ist loc id v =
  let v = Value.normalize v in
  if has_type v (topwit wit_tacvalue) then
    let tacv = to_tacvalue v in
    match tacv with
    | VFun (_,lfun,it,b) ->
        let t = if List.is_empty it then b else TacFun (it,b) in
        let ans = VFun (push_trace(loc,LtacVarCall (id,t)) ist,lfun,it,b) in
        of_tacvalue ans
    | _ ->  v
  else v

let append_trace trace v =
  let v = Value.normalize v in
  if has_type v (topwit wit_tacvalue) then
    match to_tacvalue v with
    | VFun (trace',lfun,it,b) -> of_tacvalue (VFun (trace'@trace,lfun,it,b))
    | _ -> v
  else v

(* Dynamically check that an argument is a tactic *)
let coerce_to_tactic loc id v =
  let v = Value.normalize v in
  let fail () = user_err_loc
    (loc, "", str "Variable " ++ pr_id id ++ str " should be bound to a tactic.")
  in
  let v = Value.normalize v in
  if has_type v (topwit wit_tacvalue) then
    let tacv = to_tacvalue v in
    match tacv with
    | VFun _ | VRTactic -> v
    | _ -> fail ()
  else fail ()

(* 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 v = match Value.to_constr v with
| None ->
  error "Only externing of closed terms is implemented."
| Some c -> !print_xml_term ch env sigma c

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 =
  in_gen (topwit wit_intro_pattern) (Loc.ghost, IntroIdentifier id)

let (+++) lfun1 lfun2 = Id.Map.fold Id.Map.add lfun1 lfun2

let extend_values_with_bindings (ln,lm) lfun =
  let of_cub c = match c with
  | [], c -> Value.of_constr c
  | _ -> in_gen (topwit wit_constr_under_binders) c
  in
  (* For compatibility, bound variables are visible only if no other
     binding of the same name exists *)
  let accu = Id.Map.map value_of_ident ln in
  let accu = lfun +++ accu in
  Id.Map.fold (fun id c accu -> Id.Map.add id (of_cub c) accu) lm accu

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

let is_variable env id =
  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 curr_debug ist with
  | DebugOn lev ->
      safe_msgnl (str "Level " ++ int lev ++ str": " ++ pp () ++ fnl())
  | _ -> Proofview.NonLogical.ret ()

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".")

(* Raise Not_found if not in interpretation sign *)
let try_interp_ltac_var coerce ist env (loc,id) =
  let v = Id.Map.find 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 (str "Detected '" ++ Id.print (snd locid) ++ str "' as ltac var at interning time")

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 interp_global ist gl gr = 
  Evd.fresh_global (pf_env gl) (project gl) gr

(* 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 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 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 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 interp_int_or_var_as_list ist = function
  | ArgVar (_,id as locid) ->
      (try coerce_to_int_or_var_list (Id.Map.find 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)

(* Interprets a bound variable (especially an existing hypothesis) *)
let interp_hyp ist env (loc,id as locid) =
  (* 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 Loc.raise loc (Logic.RefinerError (Logic.NoSuchHyp id))

let interp_hyp_list_as_list ist env (loc,id as x) =
  try coerce_to_hyp_list env (Id.Map.find id ist.lfun)
  with Not_found | CannotCoerceTo _ -> [interp_hyp ist env 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)
  | MoveFirst -> MoveFirst
  | MoveLast -> MoveLast

let interp_reference ist env = function
  | ArgArg (_,r) -> r
  | ArgVar (loc, id) ->
    try try_interp_ltac_var (coerce_to_reference env) ist (Some env) (loc, id)
    with Not_found ->
      try
        let (v, _, _) = Environ.lookup_named id env in
        VarRef v
      with Not_found -> error_global_not_found_loc loc (qualid_of_ident id)

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

let try_interp_evaluable env (loc, id) =
  let v = Environ.lookup_named id env in
  match v with
  | (_, Some _, _) -> EvalVarRef id
  | _ -> error_not_evaluable (VarRef id)

let interp_evaluable ist env = function
  | ArgArg (r,Some (loc,id)) ->
    (* Maybe [id] has been introduced by Intro-like tactics *)
    begin
      try try_interp_evaluable env (loc, id)
      with Not_found ->
        match r with
        | EvalConstRef _ -> r
        | _ -> error_global_not_found_loc loc (qualid_of_ident id)
    end
  | ArgArg (r,None) -> r
  | ArgVar (loc, id) ->
    try try_interp_ltac_var (coerce_to_evaluable_ref env) ist (Some env) (loc, id)
    with Not_found ->
      try try_interp_evaluable env (loc, id)
      with Not_found -> error_global_not_found_loc loc (qualid_of_ident id)

(* Interprets an hypothesis name *)
let interp_occurrences ist occs =
  Locusops.occurrences_map (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 } : clause =
  { 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 fold id v accu =
    try
      let c = coerce_to_constr env v in
      Id.Map.add id c accu
    with CannotCoerceTo _ -> accu
  in
  Id.Map.fold fold ist.lfun Id.Map.empty
(** ppedrot: I have changed the semantics here. Before this patch, closure was
    implemented as a list and a variable could be bound several times with
    different types, resulting in its possible appearance on both sides. This
    could barely be defined as a feature... *)

(* 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))
  | IntroInjection l ->
      List.flatten (List.map intropattern_ids l)
  | IntroWildcard | IntroAnonymous | IntroFresh _ | IntroRewrite _
  | IntroForthcoming _ -> []

let extract_ids ids lfun =
  let fold id v accu =
    let v = Value.normalize v in
    if has_type v (topwit wit_intro_pattern) then
      let (_, ipat) = out_gen (topwit wit_intro_pattern) v in
      if Id.List.mem id ids then accu
      else accu @ intropattern_ids (dloc, ipat)
    else accu
  in
  Id.Map.fold fold lfun []

let default_fresh_id = Id.of_string "H"

let interp_fresh_id ist env l =
  let ids = List.map_filter (function ArgVar (_, id) -> Some id | _ -> None) l in
  let avoid = match TacStore.get ist.extra f_avoid_ids with
  | None -> []
  | Some l -> l
  in
  let avoid = (extract_ids ids ist.lfun) @ avoid in
  let id =
    if List.is_empty l then default_fresh_id
    else
      let s =
	String.concat "" (List.map (function
	  | ArgArg s -> s
	  | ArgVar (_,id) -> Id.to_string (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 flags env sigma (c,ce) =
  let constrvars = extract_ltac_constr_values ist env in
  let vars = (constrvars, ist.lfun) 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 ltacvars = Id.Map.domain constrvars in
      let bndvars = Id.Map.domain ist.lfun in
      let ltacdata = (ltacvars, bndvars) in
      intern_gen kind ~allow_patvar ~ltacvars:ltacdata env c
  in
  let trace =
    push_trace (loc_of_glob_constr c,LtacConstrInterp (c,vars)) ist in
  let (evd,c) =
    catch_error trace (understand_ltac flags sigma env vars kind) c
  in
  (* spiwack: to avoid unnecessary modifications of tacinterp, as this
     function already use effect, I call [run] hoping it doesn't mess
     up with any assumption. *)
  Proofview.NonLogical.run (db_constr (curr_debug ist) env c);
  (evd,c)

let constr_flags = {
  use_typeclasses = true;
  use_unif_heuristics = true;
  use_hook = Some solve_by_implicit_tactic;
  fail_evar = true;
  expand_evars = true }

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

let interp_constr = interp_constr_gen WithoutTypeConstraint

let interp_type = interp_constr_gen IsType

let open_constr_use_classes_flags = {
  use_typeclasses = true;
  use_unif_heuristics = true;
  use_hook = Some solve_by_implicit_tactic;
  fail_evar = false;
  expand_evars = true }

let open_constr_no_classes_flags = {
  use_typeclasses = false;
  use_unif_heuristics = true;
  use_hook = Some solve_by_implicit_tactic;
  fail_evar = false;
  expand_evars = true }

let pure_open_constr_flags = {
  use_typeclasses = false;
  use_unif_heuristics = true;
  use_hook = None;
  fail_evar = false;
  expand_evars = false }

(* Interprets an open constr *)
let interp_open_constr ?(expected_type=WithoutTypeConstraint) ist =
  let flags =
    if expected_type == WithoutTypeConstraint then open_constr_no_classes_flags
    else open_constr_use_classes_flags in
  interp_gen expected_type ist false flags

let interp_pure_open_constr ist =
  interp_gen WithoutTypeConstraint ist false pure_open_constr_flags

let interp_typed_pattern ist env sigma (c,_) =
  let sigma, c =
    interp_gen WithoutTypeConstraint ist true pure_open_constr_flags 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 (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 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), _ ->
      let v = Id.Map.find id ist.lfun in
      sigma, List.map inj_fun (coerce_to_constr_list env v)
    | _ ->
        raise Not_found
    with CannotCoerceTo _ | Not_found ->
      (* dest_fun, List.assoc 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 =
  interp_constr_in_compound_list (fun x -> x) (fun x -> x) interp_constr ist env sigma c

let interp_open_constr_list =
  interp_constr_in_compound_list (fun x -> x) (fun x -> x) interp_open_constr

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)

let new_interp_type ist c k =
  let open Proofview.Goal in
  let open Proofview.Notations in
  Proofview.Goal.raw_enter begin fun gl ->
    let (sigma, c) = interp_type ist (env gl) (sigma gl) c in
    Proofview.V82.tclEVARS sigma <*> k c
  end

(* 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) =
  let (sigma,c_interp) = interp_constr ist sigma env c in
  sigma , (interp_occurrences ist occs, c_interp)

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

let interp_red_expr ist sigma env = function
  | Unfold l -> sigma , Unfold (List.map (interp_unfold ist env) l)
  | Fold l ->
    let (sigma,l_interp) = interp_constr_list ist env sigma l in
    sigma , Fold l_interp
  | Cbv f -> sigma , Cbv (interp_flag ist env f)
  | Cbn f -> sigma , Cbn (interp_flag ist env f)
  | Lazy f -> sigma , Lazy (interp_flag ist env f)
  | Pattern l ->
      let (sigma,l_interp) =
        Evd.MonadR.List.map_right
          (fun c sigma -> interp_constr_with_occurrences ist env sigma c) l sigma
      in
      sigma , Pattern l_interp
  | Simpl o ->
    sigma , Simpl (Option.map (interp_closed_typed_pattern_with_occurrences ist env sigma) o)
  | CbvVm o ->
    sigma , CbvVm (Option.map (interp_closed_typed_pattern_with_occurrences ist env sigma) o)
  | CbvNative o ->
    sigma , CbvNative (Option.map (interp_closed_typed_pattern_with_occurrences ist env sigma) o)
  | (Red _ |  Hnf | ExtraRedExpr _ as r) -> sigma , r

let interp_may_eval f ist env sigma = function
  | ConstrEval (r,c) ->
      let (sigma,redexp) = interp_red_expr ist  sigma env r in
      let (sigma,c_interp) = f ist env sigma c in
      sigma , (fst (Redexpr.reduction_of_red_expr env redexp) env sigma c_interp)
  | ConstrContext ((loc,s),c) ->
      (try
	let (sigma,ic) = f ist env sigma c
	and ctxt = coerce_to_constr_context (Id.Map.find s ist.lfun) in
	sigma , subst_meta [ConstrMatching.special_meta,ic] ctxt
      with
	| Not_found ->
	    user_err_loc (loc, "interp_may_eval",
	    str "Unbound context identifier" ++ pr_id s ++ str"."))
  | ConstrTypeOf c ->
      let (sigma,c_interp) = f ist env sigma c in
      sigma , Typing.type_of env sigma c_interp
  | ConstrTerm c ->
     try
	f ist env sigma c
     with reraise ->
       let reraise = Errors.push reraise in
       (* spiwack: to avoid unnecessary modifications of tacinterp, as this
          function already use effect, I call [run] hoping it doesn't mess
          up with any assumption. *)
       Proofview.NonLogical.run (debugging_exception_step ist false reraise (fun () ->
         str"interpretation of term " ++ pr_glob_constr_env env (fst c)));
       raise reraise

(* Interprets a constr expression possibly to first evaluate *)
let interp_constr_may_eval ist env sigma c =
  let (sigma,csr) =
    try
      interp_may_eval interp_constr ist env sigma c
    with reraise ->
      let reraise = Errors.push reraise in
      (* spiwack: to avoid unnecessary modifications of tacinterp, as this
          function already use effect, I call [run] hoping it doesn't mess
          up with any assumption. *)
       Proofview.NonLogical.run (debugging_exception_step ist false reraise (fun () -> str"evaluation of term"));
      raise reraise
  in
  begin
    (* spiwack: to avoid unnecessary modifications of tacinterp, as this
       function already use effect, I call [run] hoping it doesn't mess
       up with any assumption. *)
    Proofview.NonLogical.run (db_constr (curr_debug ist) env csr);
    sigma , csr
  end

(** TODO: should use dedicated printers *)
let rec message_of_value gl v =
  let v = Value.normalize v in
  if has_type v (topwit wit_tacvalue) then str "<tactic>"
  else if has_type v (topwit wit_constr) then
    pr_constr_env (pf_env gl) (out_gen (topwit wit_constr) v)
  else if has_type v (topwit wit_constr_under_binders) then
    let c = out_gen (topwit wit_constr_under_binders) v in
    pr_constr_under_binders_env (pf_env gl) c
  else if has_type v (topwit wit_unit) then str "()"
  else if has_type v (topwit wit_int) then int (out_gen (topwit wit_int) v)
  else if has_type v (topwit wit_intro_pattern) then
    Miscprint.pr_intro_pattern (out_gen (topwit wit_intro_pattern) v)
  else if has_type v (topwit wit_constr_context) then
    pr_constr_env (pf_env gl) (out_gen (topwit wit_constr_context) v)
  else match Value.to_list v with
  | Some l ->
    let print v = message_of_value gl v in
    prlist_with_sep spc print l
  | None ->
    str "<abstr>" (** TODO *)

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

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

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

and interp_intro_pattern_list_as_list ist env = function
  | [loc,IntroIdentifier id] as l ->
      (try coerce_to_intro_pattern_list loc env (Id.Map.find id ist.lfun)
       with Not_found | CannotCoerceTo _ ->
	List.map (interp_intro_pattern ist env) l)
  | l -> List.map (interp_intro_pattern ist env) l

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

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

let interp_declared_or_quantified_hypothesis ist env = function
  | AnonHyp n -> AnonHyp n
  | NamedHyp id ->
      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 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 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 ist env sigma c in
  sigma, (c, bl)

let loc_of_bindings = function
| NoBindings -> Loc.ghost
| 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 Loc.is_ghost loc2 then loc1 else Loc.merge 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) ->
      let error () = user_err_loc (loc, "",
        strbrk "Cannot coerce " ++ pr_id id ++
        strbrk " neither to a quantified hypothesis nor to a term.")
      in
      let try_cast_id 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."))
      in
      try
        (** FIXME: should be moved to taccoerce *)
        let v = Id.Map.find id ist.lfun in
        let v = Value.normalize v in
        if has_type v (topwit wit_intro_pattern) then
          let v = out_gen (topwit wit_intro_pattern) v in
          match v with
          | _, IntroIdentifier id -> try_cast_id id
          | _ -> error ()
        else if has_type v (topwit wit_var) then
          let id = out_gen (topwit wit_var) v in
          try_cast_id id
        else if has_type v (topwit wit_int) then
          ElimOnAnonHyp (out_gen (topwit wit_int) v)
        else match Value.to_constr v with
        | None -> error ()
        | Some c -> ElimOnConstr (sigma,(c,NoBindings))
      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),None))) in
          let (sigma,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)

(** [interp_context ctxt] interprets a context (as in
    {!Matching.matching_result}) into a context value of Ltac.  *)
let interp_context ctxt = in_gen (topwit wit_constr_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 Id.List.mem id l then
    user_err_loc (dloc,"read_match_goal_hyps",
      strbrk ("Hypothesis pattern-matching variable "^(Id.to_string 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
  | [] -> []


(* misc *)

let mk_constr_value ist gl c =
  let (sigma,c_interp) = pf_interp_constr ist gl c in
  sigma, Value.of_constr c_interp
let mk_open_constr_value ist gl c = 
  let (sigma,c_interp) = pf_apply (interp_open_constr ist) gl c in
  sigma, Value.of_constr c_interp
let mk_hyp_value ist gl c = Value.of_constr (mkVar (interp_hyp ist gl c))
let mk_int_or_var_value ist c = in_gen (topwit wit_int) (interp_int_or_var ist c)

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

let extend_gl_hyps { it=gl ; sigma=sigma } sign =
  Goal.V82.new_goal_with sigma gl sign

(* Local exception, should not escape. No need to register. *)
exception NeedsAGoal
(* Interprets an ltac expression into a value, does not assume a goal *)
let val_interp_glob ist (tac:glob_tactic_expr) : typed_generic_argument =
  match tac with
  | TacFun (it,body) ->
      let v = VFun (extract_trace ist,ist.lfun,it,body) in
      of_tacvalue v
  | TacLetIn _
  | TacMatchGoal _
  | TacMatch _
  | TacArg _ -> raise NeedsAGoal
  | t ->
      let v = VFun (extract_trace ist,ist.lfun,[],t) in
      of_tacvalue v

module GenargTac = Genarg.Monadic(Proofview.Monad)

(* Interprets an l-tac expression into a value *)
let rec val_interp ist (tac:glob_tactic_expr) (gl:'a Proofview.Goal.t) : typed_generic_argument Proofview.tactic =
  let value_interp ist =
    try Proofview.tclUNIT (val_interp_glob ist tac)
    with NeedsAGoal ->
      match tac with
      (* Immediate evaluation *)
      | TacLetIn (true,l,u) -> interp_letrec ist l u gl
      | TacLetIn (false,l,u) -> interp_letin ist l u gl
      | TacMatchGoal (lz,lr,lmr) -> interp_match_goal ist lz lr lmr gl
      | TacMatch (lz,c,lmr) -> interp_match ist lz c lmr gl
      | TacArg (loc,a) -> interp_tacarg ist a gl
      (* Delayed evaluation, handled by val_interp_glob, above *)
      | _ -> assert false
  in check_for_interrupt ();
  match curr_debug ist with
  | DebugOn lev ->
        let eval v =
          let ist = { ist with extra = TacStore.set ist.extra f_debug v } in
          value_interp ist
        in
	debug_prompt lev tac eval
  | _ -> value_interp ist
      

and eval_tactic ist = function
  | TacAtom (loc,t) ->
      let call = LtacAtomCall t in
      catch_error_tac (push_trace(loc,call) ist) (interp_atomic ist t)
  | TacFun _ | TacLetIn _ -> assert false
  | TacMatchGoal _ | TacMatch _ -> assert false
  | TacId s ->
      Proofview.tclTHEN
        (Proofview.V82.tactic begin fun gl ->
          tclIDTAC_MESSAGE (interp_message_nl ist gl s) gl
        end)
        (Proofview.tclLIFT (db_breakpoint (curr_debug ist) s))
  | TacFail (n,s) ->
      Proofview.V82.tactic begin fun gl ->
        tclFAIL (interp_int_or_var ist n) (interp_message ist gl s) gl
      end
  | TacProgress tac -> Tacticals.New.tclPROGRESS (interp_tactic ist tac)
  | TacShowHyps tac ->
         Proofview.V82.tactic begin
           tclSHOWHYPS (Proofview.V82.of_tactic (interp_tactic ist tac))
         end
  | TacAbstract (tac,ido) ->
      Proofview.Goal.enter begin fun gl -> Tactics.tclABSTRACT
        (Option.map (Tacmach.New.of_old (pf_interp_ident ist) gl) ido) (interp_tactic ist tac)
      end
  | TacThen (t1,tf,t,tl) ->
      if Array.length tf = 0 && Array.length tl = 0 then
        Tacticals.New.tclTHEN (interp_tactic ist t1) (interp_tactic ist t)
      else
        Tacticals.New.tclTHENS3PARTS (interp_tactic ist t1)
	  (Array.map (interp_tactic ist) tf) (interp_tactic ist t) (Array.map (interp_tactic ist) tl)
  | TacThens (t1,tl) -> Tacticals.New.tclTHENS (interp_tactic ist t1) (List.map (interp_tactic ist) tl)
  | TacDo (n,tac) -> Tacticals.New.tclDO (interp_int_or_var ist n) (interp_tactic ist tac)
  | TacTimeout (n,tac) -> Tacticals.New.tclTIMEOUT (interp_int_or_var ist n) (interp_tactic ist tac)
  | TacTry tac -> Tacticals.New.tclTRY (interp_tactic ist tac)
  | TacRepeat tac -> Tacticals.New.tclREPEAT (interp_tactic ist tac)
  | TacOr (tac1,tac2) ->
      Tacticals.New.tclOR (interp_tactic ist tac1) (interp_tactic ist tac2)
  | TacOnce tac ->
      Tacticals.New.tclONCE (interp_tactic ist tac)
  | TacExactlyOnce tac ->
      Tacticals.New.tclEXACTLY_ONCE (interp_tactic ist tac)
  | TacOrelse (tac1,tac2) ->
      Tacticals.New.tclORELSE (interp_tactic ist tac1) (interp_tactic ist tac2)
  | TacFirst l -> Tacticals.New.tclFIRST (List.map (interp_tactic ist) l)
  | TacSolve l -> Tacticals.New.tclSOLVE (List.map (interp_tactic ist) l)
  | TacComplete tac -> Tacticals.New.tclCOMPLETE (interp_tactic ist tac)
  | TacArg a -> interp_tactic ist (TacArg a)
  | TacInfo tac ->
      msg_warning
	(strbrk "The general \"info\" tactic is currently not working." ++ fnl () ++
	   strbrk "Some specific verbose tactics may exist instead, such as info_trivial, info_auto, info_eauto.");
      eval_tactic ist tac

and force_vrec ist v gl =
  let v = Value.normalize v in
  if has_type v (topwit wit_tacvalue) then
    let v = to_tacvalue v in
    match v with
    | VRec (lfun,body) -> val_interp {ist with lfun = !lfun} body gl
    | v -> Proofview.tclUNIT (of_tacvalue v)
  else Proofview.tclUNIT v

and interp_ltac_reference loc' mustbetac ist r gl =
  match r with
  | ArgVar (loc,id) ->
      let v =
        try Id.Map.find id ist.lfun
        with Not_found -> in_gen (topwit wit_var) id
      in
      force_vrec ist v gl >>= fun v ->
      let v = propagate_trace ist loc id v in
      if mustbetac then Proofview.tclUNIT (coerce_to_tactic loc id v) else Proofview.tclUNIT v
  | ArgArg (loc,r) ->
      let ids = extract_ids [] ist.lfun in
      let loc_info = ((if Loc.is_ghost loc' then loc else loc'),LtacNameCall r) in
      let extra = TacStore.set ist.extra f_avoid_ids ids in 
      let extra = TacStore.set extra f_trace (push_trace loc_info ist) in
      let ist = { lfun = Id.Map.empty; extra = extra; } in
      val_interp ist (Tacenv.interp_ltac r) gl

and interp_tacarg ist arg gl =
  match arg with
  | TacGeneric arg ->
      Proofview.tclEVARMAP >>= fun sigma ->
      Proofview.V82.wrap_exceptions begin fun () ->
        let goal = Proofview.Goal.goal gl in
        let (sigma,v) = Geninterp.generic_interp ist {Evd.it=goal;sigma} arg in
        Proofview.V82.tclEVARS sigma <*>
        Proofview.tclUNIT v
      end
  | Reference r -> interp_ltac_reference dloc false ist r gl
  | ConstrMayEval c ->
      Proofview.tclEVARMAP >>= fun sigma ->
      Proofview.V82.wrap_exceptions begin fun () ->
        let env = Proofview.Goal.env gl in
        let (sigma,c_interp) = interp_constr_may_eval ist env sigma c in
        Proofview.V82.tclEVARS sigma <*>
        Proofview.tclUNIT (Value.of_constr c_interp)
      end
  | MetaIdArg (loc,_,id) -> assert false
  | TacCall (loc,r,[]) ->
      interp_ltac_reference loc true ist r gl
  | TacCall (loc,f,l) ->
      interp_ltac_reference loc true ist f gl >>= fun fv ->
      Proofview.Monad.List.map (fun a -> interp_tacarg ist a gl) l >>= fun largs ->
      interp_app loc ist fv largs gl
  | TacExternal (loc,com,req,la) ->
      Proofview.Monad.List.map (fun a -> interp_tacarg ist a gl) la >>= fun la_interp ->
      Proofview.V82.wrap_exceptions begin fun () ->
        interp_external loc ist gl com req la_interp
      end
  | TacFreshId l ->
      Proofview.Goal.refresh_sigma gl >>= fun gl ->
      (* spiwack: I'm probably being over-conservative here,
         pf_interp_fresh_id shouldn't raise exceptions *)
      Proofview.V82.wrap_exceptions begin fun () ->
        let id = Tacmach.New.of_old (fun gl -> pf_interp_fresh_id ist gl l) gl in
        Proofview.tclUNIT (in_gen (topwit wit_intro_pattern) (dloc, IntroIdentifier id))
      end
  | Tacexp t -> val_interp ist t gl
  | TacDynamic(_,t) ->
      let tg = (Dyn.tag t) in
      if String.equal tg "tactic" then
        val_interp ist (tactic_out t ist) gl
      else if String.equal tg "value" then
        Proofview.tclUNIT (value_out t)
      else if String.equal tg "constr" then
        Proofview.tclUNIT (Value.of_constr (constr_out t))
      else
        Errors.anomaly ~loc:dloc ~label:"Tacinterp.val_interp"
	  (str "Unknown dynamic: <" ++ str (Dyn.tag t) ++ str ">")

(* Interprets an application node *)
and interp_app loc ist fv largs gl =
  let fail =
      (* spiwack: quick hack, can be inlined. *)
      try
      user_err_loc (loc, "Tacinterp.interp_app",
                    (str"Illegal tactic application."))
      with e -> Proofview.tclZERO e
  in
  let fv = Value.normalize fv in
  if has_type fv (topwit wit_tacvalue) then
  match to_tacvalue 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 (extfun,lvar,lval)=head_with_value (var,largs) in
        let fold accu (id, v) = Id.Map.add id v accu in
	let newlfun = List.fold_left fold olfun extfun in
      if List.is_empty lvar then
        begin Proofview.tclORELSE
            begin
              let ist = {
                lfun = newlfun;
                extra = TacStore.set ist.extra f_trace []; } in
              catch_error_tac trace (val_interp ist body gl)
            end
	    begin fun e ->
              Proofview.tclLIFT (debugging_exception_step ist false e (fun () -> str "evaluation")) <*>
	      Proofview.tclZERO e
            end
        end >>= fun v ->
        (* No errors happened, we propagate the trace *)
        let v = append_trace trace v in
        let env = Proofview.Goal.env gl in
        Proofview.tclLIFT begin
          debugging_step ist
	    (fun () ->
	      str"evaluation returns"++fnl()++pr_value (Some env) v)
        end <*>
        if List.is_empty lval then Proofview.tclUNIT v else interp_app loc ist v lval gl
      else
        Proofview.tclUNIT (of_tacvalue (VFun(trace,newlfun,lvar,body)))
    | _ -> fail
  else fail

(* Gives the tactic corresponding to the tactic value *)
and tactic_of_value ist vle =
  let vle = Value.normalize vle in
  if has_type vle (topwit wit_tacvalue) then
  match to_tacvalue vle with
  | VRTactic -> Proofview.tclUNIT ()
  | VFun (trace,lfun,[],t) ->
      let ist = {
        lfun = lfun;
        extra = TacStore.set ist.extra f_trace []; } in
      let tac = eval_tactic ist t in
      catch_error_tac trace tac
  | (VFun _|VRec _) -> Proofview.tclZERO (UserError ("" , str "A fully applied tactic is expected."))
  else if has_type vle (topwit wit_tactic) then
    let tac = out_gen (topwit wit_tactic) vle in
    eval_tactic ist tac
  else Proofview.tclZERO (UserError ("" , str"Expression does not evaluate to a tactic."))

and eval_value ist tac gl =
  val_interp ist tac gl >>= fun v ->
  if has_type v (topwit wit_tacvalue) then match to_tacvalue v with
  | VFun (trace,lfun,[],t) ->
      let ist = {
        lfun = lfun;
        extra = TacStore.set ist.extra f_trace trace; } in
      let tac = eval_tactic ist t in
      catch_error_tac trace (tac <*> Proofview.tclUNIT (of_tacvalue VRTactic))
  | _ -> Proofview.tclUNIT v
  else Proofview.tclUNIT v

(* Interprets the clauses of a recursive LetIn *)
and interp_letrec ist llc u gl =
  Proofview.tclUNIT () >>= fun () -> (* delay for the effects of [lref], just in case. *)
  let lref = ref ist.lfun in
  let fold accu ((_, id), b) =
    let v = of_tacvalue (VRec (lref, TacArg (dloc, b))) in
    Id.Map.add id v accu
  in
  let lfun = List.fold_left fold ist.lfun llc in
  let () = lref := lfun in
  let ist = { ist with lfun } in
  val_interp ist u gl

(* Interprets the clauses of a LetIn *)
and interp_letin ist llc u gl =
  let fold acc ((_, id), body) =
    interp_tacarg ist body gl >>= fun v ->
    Proofview.tclUNIT (Id.Map.add id v acc)
  in
  Proofview.Monad.List.fold_left fold ist.lfun llc >>= fun lfun ->
  let ist = { ist with lfun } in
  val_interp ist u gl


(** [interp_match_success lz ist succ] interprets a single matching success
    (of type {!TacticMatching.t}). *)
and interp_match_success ist { TacticMatching.subst ; context ; terms ; lhs } gl =
  let lctxt = Id.Map.map interp_context context in
  let hyp_subst = Id.Map.map Value.of_constr terms in
  let lfun = extend_values_with_bindings subst (lctxt +++ hyp_subst +++ ist.lfun) in
  eval_value {ist with lfun=lfun} lhs gl

(** [interp_match_successes lz ist s] interprets the stream of
    matching of successes [s]. If [lz] is set to true, then only the
    first success is considered, otherwise further successes are tried
    if the left-hand side fails. *)
and interp_match_successes lz ist s gl =
    (** iterates [tclOR] lazily on the stream [t], if [t] is
        exhausted, raises [e]. Beware: there is no [tclINDEPENDENT],
        relying on the fact that it will always be applied to a single
        goal, by virtue of an earlier [Proofview.Goal.enter]. *)
  let rec tclOR_stream t e =
    let open IStream in
    match peek t with
    | Cons (t1,t') ->
        Proofview.tclORELSE
          t1
          begin fun e ->
              (* Honors Ltac's failure level. *)
              Tacticals.New.catch_failerror e <*> tclOR_stream t' e
            end
    | Nil ->
        Proofview.tclZERO e
    in
    let matching_failure =
      UserError ("Tacinterp.apply_match" , str "No matching clauses for match.")
    in
    let successes =
      IStream.map (fun s -> interp_match_success ist s gl) s
    in
    if lz then
      (** lazymatch *)
      let open IStream in
      begin match peek successes with
      | Cons (s,_) -> s
      | Nil -> Proofview.tclZERO matching_failure
      end
    else
      (** match *)
      Proofview.tclONCE (tclOR_stream successes matching_failure)


(* Interprets the Match expressions *)
and interp_match ist lz constr lmr gl =
  begin Proofview.tclORELSE
    (interp_ltac_constr ist constr gl)
    begin function
      | e ->
          Proofview.tclLIFT (debugging_exception_step ist true e
          (fun () -> str "evaluation of the matched expression")) <*>
          Proofview.tclZERO e
    end
  end >>= fun constr ->
  Proofview.tclEVARMAP >>= fun sigma ->
  Proofview.V82.wrap_exceptions begin fun () ->
    let env = Proofview.Goal.env gl in
    let ilr = read_match_rule (extract_ltac_constr_values ist env) ist env sigma lmr in
    interp_match_successes lz ist (TacticMatching.match_term env sigma constr ilr) gl
  end

(* Interprets the Match Context expressions *)
and interp_match_goal ist lz lr lmr gl =
    Proofview.tclEVARMAP >>= fun sigma ->
    Proofview.V82.wrap_exceptions begin fun () ->
      let env = Proofview.Goal.env gl in
      let hyps = Proofview.Goal.hyps gl in
      let hyps = if lr then List.rev hyps else hyps in
      let concl = Proofview.Goal.concl gl in
      let ilr = read_match_rule (extract_ltac_constr_values ist env) ist env sigma lmr in
      interp_match_successes lz ist (TacticMatching.match_goal env sigma hyps concl ilr) gl
    end

and interp_external loc ist gl com req la =
  Proofview.Goal.refresh_sigma gl >>= fun gl ->
  let f ch = Tacmach.New.of_old (fun gl -> extern_request ch req gl la) gl in
  let g ch = internalise_tacarg ch in
  interp_tacarg ist (System.connect f g com) gl

(* Interprets extended tactic generic arguments *)
(* spiwack: interp_genarg has an argument [concl] for the case of
   "casted open constr". And [gl] for [Geninterp]. I haven't changed
   the interface for geninterp yet as it is used by ARGUMENT EXTEND
   (in turn used by plugins). At the time I'm writing this comment
   though, the only concerned plugins are the declarative mode (which
   needs the [extra] field of goals to interprete rules) and ssreflect
   (a handful of time). I believe we'd need to address "casted open
   constr" and the declarative mode rules to provide a reasonable
   interface. *)
and interp_genarg ist env sigma concl gl x =
  let evdref = ref sigma in
  let rec interp_genarg x =
    match genarg_tag x with
    | IntOrVarArgType ->
      in_gen (topwit wit_int_or_var)
        (ArgArg (interp_int_or_var ist (out_gen (glbwit wit_int_or_var) x)))
    | IdentArgType ->
      in_gen (topwit wit_ident)
        (interp_fresh_ident ist env (out_gen (glbwit wit_ident) x))
    | VarArgType ->
      in_gen (topwit wit_var) (interp_hyp ist env (out_gen (glbwit wit_var) x))
    | GenArgType ->
      in_gen (topwit wit_genarg) (interp_genarg (out_gen (glbwit wit_genarg) x))
    | ConstrArgType ->
      let (sigma,c_interp) =
        interp_constr ist env !evdref (out_gen (glbwit wit_constr) x)
      in
      evdref := sigma;
      in_gen (topwit wit_constr) c_interp
    | ConstrMayEvalArgType ->
      let (sigma,c_interp) = interp_constr_may_eval ist env !evdref (out_gen (glbwit wit_constr_may_eval) x) in
      evdref := sigma;
      in_gen (topwit wit_constr_may_eval) c_interp
    | QuantHypArgType ->
      in_gen (topwit wit_quant_hyp)
        (interp_declared_or_quantified_hypothesis ist env
           (out_gen (glbwit wit_quant_hyp) x))
    | RedExprArgType ->
      let (sigma,r_interp) =
        interp_red_expr ist !evdref env (out_gen (glbwit wit_red_expr) x)
      in
      evdref := sigma;
      in_gen (topwit wit_red_expr) r_interp
    | OpenConstrArgType ->
      let expected_type = WithoutTypeConstraint in
      in_gen (topwit wit_open_constr)
        (interp_open_constr ~expected_type
           ist env !evdref
           (snd (out_gen (glbwit wit_open_constr) x)))
    | ConstrWithBindingsArgType ->
      in_gen (topwit wit_constr_with_bindings)
        (pack_sigma (interp_constr_with_bindings ist env !evdref
		       (out_gen (glbwit wit_constr_with_bindings) x)))
    | BindingsArgType ->
      in_gen (topwit wit_bindings)
        (pack_sigma (interp_bindings ist env !evdref (out_gen (glbwit wit_bindings) x)))
    | ListArgType ConstrArgType ->
        let (sigma,v) = interp_genarg_constr_list ist env !evdref x in
	evdref := sigma;
	v
    | ListArgType VarArgType -> interp_genarg_var_list ist env x
    | ListArgType _ -> app_list interp_genarg x
    | OptArgType _ -> app_opt interp_genarg x
    | PairArgType _ -> app_pair interp_genarg interp_genarg x
    | ExtraArgType s ->
        let (sigma,v) = Geninterp.generic_interp ist { Evd.it=gl;sigma=(!evdref) } x in
	evdref:=sigma;
	v
  in
  let v = interp_genarg x in
  !evdref , v

and interp_genarg_constr_list ist env sigma x =
  let lc = out_gen (glbwit (wit_list wit_constr)) x in
  let (sigma,lc) = interp_constr_list ist env sigma lc in
  sigma , in_gen (topwit (wit_list wit_constr)) lc

and interp_genarg_var_list ist env x =
  let lc = out_gen (glbwit (wit_list wit_var)) x in
  let lc = interp_hyp_list ist env lc in
  in_gen (topwit (wit_list wit_var)) lc

(* Interprets tactic expressions : returns a "constr" *)
and interp_ltac_constr ist e gl =
  begin Proofview.tclORELSE
      (val_interp ist e gl)
      begin function
        | Not_found ->
            begin
              let env = Proofview.Goal.env gl in
              Proofview.tclLIFT begin
                debugging_step ist (fun () ->
                  str "evaluation failed for" ++ fnl() ++
                    Pptactic.pr_glob_tactic env e)
              end
            end <*>
            Proofview.tclZERO Not_found
        | e -> Proofview.tclZERO e
      end
  end >>= fun result ->
  Proofview.V82.wrap_exceptions begin fun () ->
  let env = Proofview.Goal.env gl in
  let result = Value.normalize result in
  try
    let cresult = coerce_to_closed_constr env result in
    Proofview.tclLIFT begin
      debugging_step ist (fun () ->
        Pptactic.pr_glob_tactic env e ++ fnl() ++
          str " has value " ++ fnl() ++
          pr_constr_env env cresult)
    end <*>
    Proofview.tclUNIT cresult
  with CannotCoerceTo _ ->
    let env = Proofview.Goal.env gl in
    Proofview.tclZERO (UserError ( "",
      errorlabstrm ""
      (str "Must evaluate to a closed term" ++ fnl() ++
      str "offending expression: " ++ fnl() ++ pr_inspect env e result)))
  end


(* Interprets tactic expressions : returns a "tactic" *)
and interp_tactic ist tac =
  (* spiwack: interpretes the following tactic out of a goal if
     possible. It allows tactics on the right of a tclTHEN to manipulate
     the generated subgoals globally. *)
  try
    tactic_of_value ist (val_interp_glob ist tac)
  with NeedsAGoal ->
    Proofview.Goal.enter begin fun gl ->
      val_interp ist tac gl >>= fun v ->
      tactic_of_value ist v
    end

(* Interprets a primitive tactic *)
and interp_atomic ist tac =
  match tac with
  (* Basic tactics *)
  | TacIntroPattern l ->
      Proofview.Goal.raw_enter begin fun gl ->
        let env = Proofview.Goal.env gl in
        let patterns = interp_intro_pattern_list_as_list ist env l in
        Tactics.intro_patterns patterns
      end
  | TacIntrosUntil hyp ->
      begin try (* interp_quantified_hypothesis can raise an exception *)
        Tactics.intros_until (interp_quantified_hypothesis ist hyp)
      with e when Proofview.V82.catchable_exception e -> Proofview.tclZERO e
      end
  | TacIntroMove (ido,hto) ->
      Proofview.Goal.raw_enter begin fun gl ->
        let env = Proofview.Goal.env gl in
        let mloc = interp_move_location ist env hto in
        Tactics.intro_move (Option.map (interp_fresh_ident ist env) ido) mloc
      end
  | TacAssumption -> Tactics.assumption
  | TacExact c ->
      Proofview.V82.tactic begin fun gl -> 
        let (sigma,c_interp) = pf_interp_casted_constr ist gl c in
        tclTHEN
	  (tclEVARS sigma)
	  (Tactics.exact_no_check c_interp)
          gl
      end
  | TacExactNoCheck c ->
      Proofview.V82.tactic begin fun gl -> 
        let (sigma,c_interp) = pf_interp_constr ist gl c in
        tclTHEN
	  (tclEVARS sigma)
	  (Tactics.exact_no_check c_interp)
          gl
      end
  | TacVmCastNoCheck c ->
      Proofview.V82.tactic begin fun gl -> 
        let (sigma,c_interp) = pf_interp_constr ist gl c in
        tclTHEN
	  (tclEVARS sigma)
	  (Tactics.vm_cast_no_check c_interp)
          gl
      end
  | TacApply (a,ev,cb,cl) ->
      Proofview.Goal.raw_enter begin fun gl ->
        let env = Proofview.Goal.env gl in
        let sigma = Proofview.Goal.sigma gl in
        let sigma, l =
          List.fold_map (interp_open_constr_with_bindings_loc ist env) sigma cb
        in
        let tac = match cl with
          | None -> fun l -> Proofview.V82.tactic (Tactics.apply_with_bindings_gen a ev l)
          | Some cl ->
              (fun l ->
                Proofview.Goal.raw_enter begin fun gl ->
                  let env = Proofview.Goal.env gl in
                  let (id,cl) = interp_in_hyp_as ist env cl in
                  Tactics.apply_in a ev id l cl
                end) in
        Tacticals.New.tclWITHHOLES ev tac sigma l
      end
  | TacElim (ev,cb,cbo) ->
      Proofview.Goal.raw_enter begin fun gl ->
        let env = Proofview.Goal.env gl in
        let sigma = Proofview.Goal.sigma gl in 
        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
        Tacticals.New.tclWITHHOLES ev (Tactics.elim ev cb) sigma cbo
      end
  | TacElimType c ->
      Proofview.V82.tactic begin fun gl -> 
        let (sigma,c_interp) = pf_interp_type ist gl c in
        tclTHEN
	  (tclEVARS sigma)
	  (Tactics.elim_type c_interp)
          gl
      end
  | TacCase (ev,cb) ->
      Proofview.Goal.raw_enter begin fun gl ->
        let sigma = Proofview.Goal.sigma gl in
        let env = Proofview.Goal.env gl in
        let sigma, cb = interp_constr_with_bindings ist env sigma cb in
        Tacticals.New.tclWITHHOLES ev (Tactics.general_case_analysis ev) sigma cb
      end
  | TacCaseType c ->
      Proofview.V82.tactic begin fun gl -> 
        let (sigma,c_interp) = pf_interp_type ist gl c in
        tclTHEN
	  (tclEVARS sigma)
	  (Tactics.case_type c_interp)
          gl
      end
  | TacFix (idopt,n) ->
      Proofview.Goal.raw_enter begin fun gl ->
        let env = Proofview.Goal.env gl in
        Proofview.V82.tactic (Tactics.fix (Option.map (interp_fresh_ident ist env) idopt) n)
      end
  | TacMutualFix (id,n,l) ->
      Proofview.V82.tactic begin fun gl ->
        let env = pf_env gl in
        let f sigma (id,n,c) =
	  let (sigma,c_interp) = pf_interp_type ist { gl with sigma=sigma } c in
	  sigma , (interp_fresh_ident ist env id,n,c_interp) in
        let (sigma,l_interp) =
          Evd.MonadR.List.map_right (fun c sigma -> f sigma c) l (project gl)
        in
        tclTHEN
	  (tclEVARS sigma)
	  (Tactics.mutual_fix (interp_fresh_ident ist env id) n l_interp 0)
          gl
      end
  | TacCofix idopt ->
      Proofview.Goal.raw_enter begin fun gl ->
        let env = Proofview.Goal.env gl in
        Proofview.V82.tactic (Tactics.cofix (Option.map (interp_fresh_ident ist env) idopt))
      end
  | TacMutualCofix (id,l) ->
      Proofview.V82.tactic begin fun gl ->
        let env = pf_env gl in
        let f sigma (id,c) =
	  let (sigma,c_interp) = pf_interp_type ist { gl with sigma=sigma } c in
	  sigma , (interp_fresh_ident ist env id,c_interp) in
        let (sigma,l_interp) =
          Evd.MonadR.List.map_right (fun c sigma -> f sigma c) l (project gl)
        in
        tclTHEN
	  (tclEVARS sigma)
	  (Tactics.mutual_cofix (interp_fresh_ident ist env id) l_interp 0)
          gl
      end
  | TacCut c ->
      new_interp_type ist c Tactics.cut
  | TacAssert (t,ipat,c) ->
      Proofview.Goal.raw_enter begin fun gl ->
        let env = Proofview.Goal.env gl in
        let sigma = Proofview.Goal.sigma gl in
        let (sigma,c) = 
          (if Option.is_empty t then interp_constr else interp_type) ist env sigma c
        in
        let patt = interp_intro_pattern ist env in
        Tacticals.New.tclTHEN
          (Proofview.V82.tclEVARS sigma)
          (Tactics.forward (Option.map (interp_tactic ist) t)
              (Option.map patt ipat) c)
      end
  | TacGeneralize cl ->
      Proofview.V82.tactic begin fun gl ->
        let sigma = project gl in
        let env = pf_env gl in
        let sigma, cl = interp_constr_with_occurrences_and_name_as_list ist env sigma cl in
        tclWITHHOLES false (Tactics.Simple.generalize_gen) sigma cl gl
      end
  | TacGeneralizeDep c ->
      Proofview.V82.tactic begin fun gl -> 
        let (sigma,c_interp) = pf_interp_constr ist gl c in
        tclTHEN
	  (tclEVARS sigma)
	  (Tactics.generalize_dep c_interp)
          gl
      end
  | TacLetTac (na,c,clp,b,eqpat) ->
      Proofview.V82.nf_evar_goals <*>
      Proofview.Goal.enter begin fun gl ->
        let env = Proofview.Goal.env gl in
        let sigma = Proofview.Goal.sigma gl in
        let clp = interp_clause ist env clp in
        let eqpat = Option.map (interp_intro_pattern ist env) eqpat in
        if Locusops.is_nowhere clp then
        (* We try to fully-typecheck the term *)
          let (sigma,c_interp) =
            Tacmach.New.of_old (fun gl -> pf_interp_constr ist gl c) gl
          in
          let let_tac b na c cl eqpat =
            let id = Option.default (Loc.ghost,IntroAnonymous) eqpat in
            let with_eq = if b then None else Some (true,id) in
            Tactics.letin_tac with_eq na c None cl
          in
	  Tacticals.New.tclTHEN
	    (Proofview.V82.tclEVARS sigma)
            (let_tac b (interp_fresh_name ist env na) c_interp clp eqpat)
        else
        (* We try to keep the pattern structure as much as possible *)
          let let_pat_tac b na c cl eqpat =
            let id = Option.default (Loc.ghost,IntroAnonymous) eqpat in
            let with_eq = if b then None else Some (true,id) in
            Tactics.letin_pat_tac with_eq na c None cl
          in
          let_pat_tac b (interp_fresh_name ist env na)
            (interp_pure_open_constr ist env sigma c) clp eqpat
      end

  (* Automation tactics *)
  | TacTrivial (debug,lems,l) ->
      Proofview.Goal.raw_enter begin fun gl ->
        let env = Proofview.Goal.env gl in
        let sigma = Proofview.Goal.sigma gl in
        Auto.h_trivial ~debug
	  (interp_auto_lemmas ist env sigma lems)
	  (Option.map (List.map (interp_hint_base ist)) l)
      end
  | TacAuto (debug,n,lems,l) ->
      Proofview.Goal.raw_enter begin fun gl ->
        let env = Proofview.Goal.env gl in
        let sigma = Proofview.Goal.sigma gl in
        Auto.h_auto ~debug (Option.map (interp_int_or_var ist) n)
	  (interp_auto_lemmas ist env sigma lems)
	  (Option.map (List.map (interp_hint_base ist)) l)
      end

  (* Derived basic tactics *)
  | TacSimpleInductionDestruct (isrec,h) ->
      let h = interp_quantified_hypothesis ist h in
      if isrec then Tactics.simple_induct h else Tactics.simple_destruct h
  | TacInductionDestruct (isrec,ev,(l,el,cls)) ->
      (* spiwack: some unknown part of destruct needs the goal to be
         prenormalised. *)
      Proofview.V82.nf_evar_goals <*>
      Proofview.Goal.enter begin fun gl ->
        let env = Proofview.Goal.env gl in
        let l =
          List.map begin fun (c,(ipato,ipats)) ->
            let c = Tacmach.New.of_old (fun gl -> interp_induction_arg ist gl c) gl in
            let interp_intro_pattern = interp_intro_pattern ist env in
            c,
            (Option.map interp_intro_pattern ipato,
             Option.map interp_intro_pattern ipats)
          end l
        in
        let sigma = Proofview.Goal.sigma gl in
        let sigma,el =
          Option.fold_map (interp_constr_with_bindings ist env) sigma el in
        let interp_clause = interp_clause ist env in
        let cls = Option.map interp_clause cls in
        Tacticals.New.tclWITHHOLES ev (Tactics.induction_destruct isrec ev) sigma (l,el,cls)
      end
  | 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 ->
      Proofview.Goal.enter begin fun gl ->
      let (sigma,c_interp) = Tacmach.New.of_old (fun gl -> pf_interp_constr ist gl c) gl in
      Tacticals.New.tclTHEN
	(Proofview.V82.tclEVARS sigma)
	(Elim.h_decompose_and c_interp)
      end
  | TacDecomposeOr c ->
      Proofview.Goal.enter begin fun gl ->
      let (sigma,c_interp) = Tacmach.New.of_old (fun gl -> pf_interp_constr ist gl c) gl in
      Tacticals.New.tclTHEN
	(Proofview.V82.tclEVARS sigma)
	(Elim.h_decompose_or c_interp)
      end
  | TacDecompose (l,c) ->
      Proofview.Goal.enter begin fun gl ->
      let l = List.map (interp_inductive ist) l in
      let (sigma,c_interp) = Tacmach.New.of_old (fun gl -> pf_interp_constr ist gl c) gl in
      Tacticals.New.tclTHEN
	(Proofview.V82.tclEVARS sigma)
	(Elim.h_decompose l c_interp)
      end
  | TacSpecialize (n,cb) ->
      Proofview.Goal.raw_enter begin fun gl ->
        let env = Proofview.Goal.env gl in
        let sigma = Proofview.Goal.sigma gl in
        Proofview.V82.tactic begin fun gl -> 
          let sigma, cb = interp_constr_with_bindings ist env sigma cb in
          tclWITHHOLES false (Tactics.specialize n) sigma cb gl
        end
      end
  | TacLApply c ->
      Proofview.Goal.enter begin fun gl -> 
        let (sigma,c_interp) = Tacmach.New.of_old (pf_interp_constr ist) gl c in
        Tacticals.New.tclTHEN
	  (Proofview.V82.tclEVARS sigma)
	  (Tactics.cut_and_apply c_interp)
      end

  (* Context management *)
  | TacClear (b,l) ->
      Proofview.V82.tactic begin fun gl ->
        let l = interp_hyp_list ist (pf_env gl) l in
        if b then Tactics.keep l gl else Tactics.clear l gl
      end
  | TacClearBody l ->
      Proofview.V82.tactic begin fun gl ->
        Tactics.clear_body (interp_hyp_list ist (pf_env gl) l) gl
      end
  | TacMove (dep,id1,id2) ->
      Proofview.V82.tactic begin fun gl -> 
        Tactics.move_hyp dep (interp_hyp ist (pf_env gl) id1)
                   (interp_move_location ist (pf_env gl) id2)
                   gl
      end
  | TacRename l ->
      Proofview.V82.tactic begin fun gl ->
        let env = pf_env gl in
        Tactics.rename_hyp (List.map (fun (id1,id2) ->
	  interp_hyp ist env id1,
	  interp_fresh_ident ist env (snd id2)) l)
          gl
      end
  | TacRevert l ->
      Proofview.V82.tactic begin fun gl -> 
        Tactics.revert (interp_hyp_list ist (pf_env gl) l) gl
      end

  (* Constructors *)
  | TacLeft (ev,bl) ->
      Proofview.Goal.raw_enter begin fun gl ->
        let env = Proofview.Goal.env gl in
        let sigma = Proofview.Goal.sigma gl in
        let sigma, bl = interp_bindings ist env sigma bl in
        Tacticals.New.tclWITHHOLES ev (Tactics.left_with_bindings ev) sigma bl
      end
  | TacRight (ev,bl) ->
      Proofview.Goal.raw_enter begin fun gl ->
        let env = Proofview.Goal.env gl in
        let sigma = Proofview.Goal.sigma gl in
        let sigma, bl = interp_bindings ist env sigma bl in
        Tacticals.New.tclWITHHOLES ev (Tactics.right_with_bindings ev) sigma bl
      end
  | TacSplit (ev,_,bll) ->
      Proofview.Goal.raw_enter begin fun gl ->
        let env = Proofview.Goal.env gl in
        let sigma = Proofview.Goal.sigma gl in
        let sigma, bll = List.fold_map (interp_bindings ist env) sigma bll in
        Tacticals.New.tclWITHHOLES ev (Tactics.split_with_bindings ev) sigma bll
      end
  | TacAnyConstructor (ev,t) ->
      Tactics.any_constructor ev (Option.map (interp_tactic ist) t)
  | TacConstructor (ev,n,bl) ->
      Proofview.Goal.raw_enter begin fun gl ->
        let env = Proofview.Goal.env gl in
        let sigma = Proofview.Goal.sigma gl in
        let sigma, bl = interp_bindings ist env sigma bl in
        Tacticals.New.tclWITHHOLES ev
          (Tactics.constructor_tac ev None (interp_int_or_var ist n)) sigma bl
      end

  (* Conversion *)
  | TacReduce (r,cl) ->
      Proofview.V82.tactic begin fun gl -> 
        let (sigma,r_interp) = interp_red_expr ist (project gl) (pf_env gl) r in
        tclTHEN
	  (tclEVARS sigma)
	  (Tactics.reduce r_interp (interp_clause ist (pf_env gl) cl))
          gl
      end
  | TacChange (None,c,cl) ->
      Proofview.V82.nf_evar_goals <*>
      Proofview.V82.tactic begin fun gl ->
        let is_onhyps = match cl.onhyps with
          | None | Some [] -> true
          | _ -> false
        in
        let is_onconcl = match cl.concl_occs with
          | AllOccurrences | NoOccurrences -> true
          | _ -> false
        in
        let (sigma,c_interp) =
	  if is_onhyps && is_onconcl
	  then pf_interp_type ist gl c
	  else pf_interp_constr ist gl c
        in
        tclTHEN
	  (tclEVARS sigma)
	  (Tactics.change None c_interp (interp_clause ist (pf_env gl) cl))
          gl
      end
  | TacChange (Some op,c,cl) ->
      Proofview.V82.nf_evar_goals <*>
      Proofview.Goal.raw_enter begin fun gl ->
        let env = Proofview.Goal.env gl in
        let sigma = Proofview.Goal.sigma gl in
        Proofview.V82.tactic begin fun gl -> 
          let sign,op = interp_typed_pattern ist env sigma op in
        (* spiwack: (2012/04/18) the evar_map output by pf_interp_constr
	   is dropped as the evar_map taken as input (from
	   extend_gl_hyps) is incorrect.  This means that evar
	   instantiated by pf_interp_constr may be lost, there. *)
          let to_catch = function Not_found -> true | e -> Errors.is_anomaly e in
          let (sigma',c_interp) =
	    try pf_interp_constr ist (extend_gl_hyps gl sign) c
	    with e when to_catch e (* Hack *) ->
	      errorlabstrm "" (strbrk "Failed to get enough information from the left-hand side to type the right-hand side.")
          in
          tclTHEN
	    (tclEVARS sigma)
	    (tclTHEN (* At least recover the declared universes *)
	       (tclPUSHEVARUNIVCONTEXT (Evd.evar_universe_context sigma'))
	       (Tactics.change (Some op) c_interp (interp_clause ist env cl)))
            gl
        end
      end

  (* Equivalence relations *)
  | TacReflexivity -> Tactics.intros_reflexivity
  | TacSymmetry c ->
      Proofview.Goal.raw_enter begin fun gl ->
        let env = Proofview.Goal.env gl in
        let cl = interp_clause ist env c in
        Tactics.intros_symmetry cl
      end
  | TacTransitivity c ->
      begin match c with
      | None -> Tactics.intros_transitivity None
      | Some c ->
          Proofview.Goal.enter begin fun gl ->
          let (sigma,c_interp) =
            Tacmach.New.of_old (fun gl -> pf_interp_constr ist gl c) gl
          in
          Tacticals.New.tclTHEN
	    (Proofview.V82.tclEVARS sigma)
	    (Tactics.intros_transitivity (Some c_interp))
          end
      end

  (* Equality and inversion *)
  | TacRewrite (ev,l,cl,by) ->
      Proofview.Goal.raw_enter begin fun gl ->
        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 env = Proofview.Goal.env gl in
        let cl = interp_clause ist env cl in
        Equality.general_multi_multi_rewrite ev l cl
          (Option.map (fun by -> Tacticals.New.tclCOMPLETE (interp_tactic ist by),
                                 Equality.Naive)
                      by)
      end
  | TacInversion (DepInversion (k,c,ids),hyp) ->
      Proofview.Goal.enter begin fun gl ->
        let env = Proofview.Goal.env gl in
        let sigma = Proofview.Goal.sigma gl in
        let (sigma,c_interp) =
          match c with
          | None -> sigma , None
          | Some c ->
              let (sigma,c_interp) =
                Tacmach.New.of_old (fun gl -> pf_interp_constr ist gl c) gl
              in
              sigma , Some c_interp
        in
        let interp_intro_pattern = interp_intro_pattern ist env in
        let dqhyps = interp_declared_or_quantified_hypothesis ist env hyp in
        Inv.dinv k c_interp
          (Option.map interp_intro_pattern ids)
          dqhyps
      end
  | TacInversion (NonDepInversion (k,idl,ids),hyp) ->
      Proofview.Goal.raw_enter begin fun gl ->
        let env = Proofview.Goal.env gl in
        let interp_intro_pattern = interp_intro_pattern ist env in
        let hyps = interp_hyp_list ist env idl in
        let dqhyps = interp_declared_or_quantified_hypothesis ist env hyp in
        Inv.inv_clause k
          (Option.map interp_intro_pattern ids)
          hyps
          dqhyps
      end
  | TacInversion (InversionUsing (c,idl),hyp) ->
      Proofview.Goal.raw_enter begin fun gl ->
        let env = Proofview.Goal.env gl in
        let sigma = Proofview.Goal.sigma gl in
        let (sigma,c_interp) = interp_constr ist env sigma c in
        let dqhyps = interp_declared_or_quantified_hypothesis ist env hyp in
        let hyps = interp_hyp_list ist env idl in
        Proofview.V82.tclEVARS sigma <*>
        Leminv.lemInv_clause dqhyps
          c_interp
          hyps
      end

  (* For extensions *)
  | TacExtend (loc,opn,[]) ->
      (* spiwack: a special case for tactics (from TACTIC EXTEND) without arguments to
         be interpreted without a [Proofview.Goal.enter]. Eventually we should make
         something more fine-grained by modifying [interp_genarg]. *)
      let tac = Tacenv.interp_ml_tactic opn in
      tac [] ist
  | TacExtend (loc,opn,l) ->
      Proofview.Goal.enter begin fun gl ->
        let env = Proofview.Goal.env gl in
        let goal_sigma = Proofview.Goal.sigma gl in
        let concl = Proofview.Goal.concl gl in
        let goal = Proofview.Goal.goal gl in
        let tac = Tacenv.interp_ml_tactic opn in
        let (sigma,args) =
          Evd.MonadR.List.map_right
            (fun a sigma -> interp_genarg ist env sigma concl goal a) l goal_sigma
        in
        Proofview.V82.tclEVARS sigma <*>
        tac args ist
      end
  | TacAlias (loc,s,l) ->
      let (_, body) = Tacenv.interp_alias s in
      let rec f x gl = match genarg_tag x with
      | QuantHypArgType | RedExprArgType
      | ConstrWithBindingsArgType
      | BindingsArgType
      | OptArgType _ | PairArgType _ -> (** generic handler *)
        Proofview.tclEVARMAP >>= fun sigma ->
        Proofview.V82.wrap_exceptions begin fun () ->
          let env = Proofview.Goal.env gl in
          let concl = Proofview.Goal.concl gl in
          let goal = Proofview.Goal.goal gl in
          let (sigma, arg) = interp_genarg ist env sigma concl goal x in
          Proofview.V82.tclEVARS sigma <*> Proofview.tclUNIT arg
        end
      | _ as tag -> (** Special treatment. TODO: use generic handler  *)
        Proofview.tclEVARMAP >>= fun sigma ->
        Proofview.Goal.refresh_sigma gl >>= fun gl ->
        Proofview.V82.wrap_exceptions begin fun () ->
          let env = Proofview.Goal.env gl in
        match tag with
          | IntOrVarArgType ->
              Proofview.tclUNIT (mk_int_or_var_value ist (out_gen (glbwit wit_int_or_var) x))
          | IdentArgType ->
              Proofview.tclUNIT (value_of_ident (interp_fresh_ident ist env
	                                       (out_gen (glbwit wit_ident) x)))
          | VarArgType ->
              Proofview.tclUNIT (mk_hyp_value ist env (out_gen (glbwit wit_var) x))
          | GenArgType -> f (out_gen (glbwit wit_genarg) x) gl
          | ConstrArgType ->
              let (sigma,v) =
                Tacmach.New.of_old (fun gl -> mk_constr_value ist gl (out_gen (glbwit wit_constr) x)) gl
              in
              Proofview.V82.tclEVARS sigma <*>
	      Proofview.tclUNIT v
          | OpenConstrArgType ->
              let (sigma,v) =
                Tacmach.New.of_old (fun gl -> mk_open_constr_value ist gl (snd (out_gen (glbwit wit_open_constr) x))) gl in
              Proofview.V82.tclEVARS sigma <*>
	      Proofview.tclUNIT v
          | ConstrMayEvalArgType ->
              let (sigma,c_interp) =
                interp_constr_may_eval ist env sigma
                  (out_gen (glbwit wit_constr_may_eval) x)
              in
              Proofview.V82.tclEVARS sigma <*>
	      Proofview.tclUNIT (Value.of_constr c_interp)
          | ListArgType ConstrArgType ->
              let wit = glbwit (wit_list wit_constr) in
              let (sigma,l_interp) = Tacmach.New.of_old begin fun gl ->
                Evd.MonadR.List.map_right
                  (fun c sigma -> mk_constr_value ist { gl with sigma=sigma } c)
                  (out_gen wit x)
                  (project gl)
              end gl in
              Proofview.V82.tclEVARS sigma <*>
              Proofview.tclUNIT (in_gen (topwit (wit_list wit_genarg)) l_interp)
          | ListArgType VarArgType ->
              let wit = glbwit (wit_list wit_var) in
              Proofview.tclUNIT (
                let ans = List.map (mk_hyp_value ist env) (out_gen wit x) in
                in_gen (topwit (wit_list wit_genarg)) ans
              )
          | ListArgType IntOrVarArgType ->
              let wit = glbwit (wit_list wit_int_or_var) in
              let ans = List.map (mk_int_or_var_value ist) (out_gen wit x) in
              Proofview.tclUNIT (in_gen (topwit (wit_list wit_genarg)) ans)
          | ListArgType IdentArgType ->
              let wit = glbwit (wit_list wit_ident) in
	      let mk_ident x = value_of_ident (interp_fresh_ident ist env x) in
	      let ans = List.map mk_ident (out_gen wit x) in
              Proofview.tclUNIT (in_gen (topwit (wit_list wit_genarg)) ans)
          | ListArgType t  ->
              GenargTac.app_list (fun y -> f y gl) x
          | ExtraArgType _ ->
              (** Special treatment of tactics *)
              if has_type x (glbwit wit_tactic) then
                let tac = out_gen (glbwit wit_tactic) x in
                val_interp ist tac gl >>= fun v ->
                Proofview.tclUNIT v
              else
                let goal = Proofview.Goal.goal gl in
                let (newsigma,v) = Geninterp.generic_interp ist {Evd.it=goal;sigma} x in
                Proofview.V82.tclEVARS newsigma <*>
                Proofview.tclUNIT v
          | _ -> assert false
        end
      in
      Proofview.Goal.enter begin fun gl ->
        let addvar (x, v) accu =
          f v gl >>= fun v ->
          Proofview.tclUNIT (Id.Map.add x v accu)
        in
        Proofview.Monad.List.fold_right addvar l ist.lfun >>= fun lfun ->
          let trace = push_trace (loc,LtacNotationCall s) ist in
          let ist = {
            lfun = lfun;
            extra = TacStore.set ist.extra f_trace trace; } in
          interp_tactic ist body
      end

(* Initial call for interpretation *)

let default_ist () =
  let extra = TacStore.set TacStore.empty f_debug (get_debug ()) in
  { lfun = Id.Map.empty; extra = extra }

let eval_tactic t =
  Proofview.tclUNIT () >>= fun () -> (* delay for [default_ist] *)
  Proofview.tclLIFT db_initialize <*>
  interp_tactic (default_ist ()) t

let eval_tactic_ist ist t =
  Proofview.tclLIFT db_initialize <*>
  interp_tactic ist t

(* globalization + interpretation *)


let interp_tac_gen lfun avoid_ids debug t =
  Proofview.Goal.raw_enter begin fun gl ->
  let env = Proofview.Goal.env gl in
  let extra = TacStore.set TacStore.empty f_debug debug in
  let extra = TacStore.set extra f_avoid_ids avoid_ids in
  let ist = { lfun = lfun; extra = extra } in
  let ltacvars = Id.Map.domain lfun in
  interp_tactic ist
    (intern_pure_tactic {
      ltacvars; ltacrecvars = Id.Map.empty;
      genv = env } t)
  end

let interp t = interp_tac_gen Id.Map.empty [] (get_debug()) t
let _ = Proof_global.set_interp_tac interp

(* Used to hide interpretation for pretty-print, now just launch tactics *)
(* [global] means that [t] should be internalized outside of goals. *)
let hide_interp global t ot =
  let hide_interp env =
    let ist = { ltacvars = Id.Set.empty; ltacrecvars = Id.Map.empty;
                genv = env } in
    let te = intern_pure_tactic ist t in
    let t = eval_tactic te in
    match ot with
    | None -> t
    | Some t' -> Tacticals.New.tclTHEN t t'
  in
  if global then
    Proofview.tclENV >>= fun env ->
    hide_interp env
  else
    Proofview.Goal.raw_enter begin fun gl ->
      hide_interp (Proofview.Goal.env gl)
    end

(***************************************************************************)
(** Register standard arguments *)

let def_intern ist x = (ist, x)
let def_subst _ x = x
let def_interp ist gl x = (project gl, x)

let declare_uniform t =
  Genintern.register_intern0 t def_intern;
  Genintern.register_subst0 t def_subst;
  Geninterp.register_interp0 t def_interp

let () =
  declare_uniform wit_unit

let () =
  declare_uniform wit_int

let () =
  declare_uniform wit_bool

let () =
  declare_uniform wit_string

let () =
  declare_uniform wit_pre_ident

let () =
  let interp ist gl ref = (project gl, interp_reference ist (pf_env gl) ref) in
  Geninterp.register_interp0 wit_ref interp;
  let interp ist gl pat = (project gl, interp_intro_pattern ist (pf_env gl) pat) in
  Geninterp.register_interp0 wit_intro_pattern interp;
  let interp ist gl pat = (project gl, interp_clause ist (pf_env gl) pat) in
  Geninterp.register_interp0 wit_clause_dft_concl interp;
  let interp ist gl s = interp_sort (project gl) s in
  Geninterp.register_interp0 wit_sort interp

let () =
  let interp ist gl tac =
    let f = VFun (extract_trace ist, ist.lfun, [], tac) in
    (project gl, TacArg (dloc, valueIn (of_tacvalue f)))
  in
  Geninterp.register_interp0 wit_tactic interp

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

let interp_redexp env sigma r =
  let ist = default_ist () in
  let gist = { fully_empty_glob_sign with genv = env; } 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 when Errors.noncritical e -> anomaly ~label:"tacticIn"
      (str "Incorrect tactic expression. Received exception is:" ++
       Errors.print e))

(***************************************************************************)
(* Backwarding recursive needs of tactic glob/interp/eval functions *)

let _ =
  let eval ty env sigma lfun arg =
    let ist = { lfun = lfun; extra = TacStore.empty; } in
    if has_type arg (glbwit wit_tactic) then
      let tac = out_gen (glbwit wit_tactic) arg in
      let tac = interp_tactic ist tac in
      let ctx = Evd.universe_context_set sigma in
      let prf = Proof.start sigma [env, (ty, ctx)] in
      let (prf, _) =
        try Proof.run_tactic env tac prf
        with Proof_errors.TacticFailure e as src ->
          (** Catch the inner error of the monad tactic *)
          let src = Errors.push src in
          let e = Backtrace.app_backtrace ~src ~dst:e in
          raise e
      in
      let sigma = Proof.in_proof prf (fun sigma -> sigma) in
      let ans = match Proof.initial_goals prf with
      | [c, _] -> c
      | _ -> assert false
      in
      ans, sigma
    else
      failwith "not a tactic"
  in
  Hook.set Pretyping.genarg_interp_hook eval

let _ = Hook.set Auto.extern_interp
  (fun l ->
    let lfun = Id.Map.map (fun c -> Value.of_constr c) l in
    let ist = { (default_ist ()) with lfun; } in
    interp_tactic ist)