pptactic.ml Interaktion und
PortierbarkeitSML

(************************************************************************)
(*         *      The Rocq Prover / The Rocq Development Team           *)
(*  v      *         Copyright INRIA, CNRS and contributors             *)
(* <O___,, * (see version control and CREDITS file for authors & dates) *)
(*   \VV/  **************************************************************)
(*    //   *    This file is distributed under the terms of the         *)
(*         *     GNU Lesser General Public License Version 2.1          *)
(*         *     (see LICENSE file for the text of the license)         *)
(************************************************************************)

open Pp
open Names
open Namegen
open CErrors
open Util
open Constrexpr
open Genarg
open Geninterp
open Stdarg
open Tactypes
open Locus
open Ppconstr
open Pputils
open Printer

open Genintern
open Tacexpr
open Tacarg
open Tactics

module Tag =
struct

  let keyword   = "tactic.keyword"
  let primitive = "tactic.primitive"
  let string    = "tactic.string"

end

let tag t s = Pp.tag t s
let do_not_tag _ x = x
let tag_keyword                 = tag Tag.keyword
let tag_primitive               = tag Tag.primitive
let tag_string                  = tag Tag.string
let tag_glob_tactic_expr        = do_not_tag
let tag_glob_atomic_tactic_expr = do_not_tag
let tag_raw_tactic_expr         = do_not_tag
let tag_raw_atomic_tactic_expr  = do_not_tag
let tag_atomic_tactic_expr      = do_not_tag

let pr_global x = Nametab.pr_global_env Id.Set.empty x

type 'a grammar_tactic_prod_item_expr =
| TacTerm of string
| TacNonTerm of ('a * Names.Id.t option) Loc.located

type grammar_terminals = Genarg.ArgT.any Extend.user_symbol grammar_tactic_prod_item_expr list

type pp_tactic = {
  pptac_level : int;
  pptac_prods : grammar_terminals;
}

(* Tactic notations *)
let prnotation_tab = Summary.ref ~name:"pptactic-notation" KNmap.empty

let declare_notation_tactic_pprule kn pt =
  prnotation_tab := KNmap.add kn pt !prnotation_tab

type 'a raw_extra_genarg_printer =
  Environ.env -> Evd.evar_map ->
  (Environ.env -> Evd.evar_map -> constr_expr -> Pp.t) ->
  (Environ.env -> Evd.evar_map -> constr_expr -> Pp.t) ->
  (Environ.env -> Evd.evar_map -> entry_relative_level -> raw_tactic_expr -> Pp.t) ->
  'a -> Pp.t

type 'a glob_extra_genarg_printer =
  Environ.env -> Evd.evar_map ->
  (Environ.env -> Evd.evar_map -> glob_constr_and_expr -> Pp.t) ->
  (Environ.env -> Evd.evar_map -> glob_constr_and_expr -> Pp.t) ->
  (Environ.env -> Evd.evar_map -> entry_relative_level -> glob_tactic_expr -> Pp.t) ->
  'a -> Pp.t

type 'a extra_genarg_printer =
  Environ.env -> Evd.evar_map ->
  (Environ.env -> Evd.evar_map -> EConstr.constr -> Pp.t) ->
  (Environ.env -> Evd.evar_map -> EConstr.constr -> Pp.t) ->
  (Environ.env -> Evd.evar_map -> entry_relative_level -> Val.t -> Pp.t) ->
  'a -> Pp.t

type 'a raw_extra_genarg_printer_with_level =
  Environ.env -> Evd.evar_map ->
  (Environ.env -> Evd.evar_map -> constr_expr -> Pp.t) ->
  (Environ.env -> Evd.evar_map -> constr_expr -> Pp.t) ->
  (Environ.env -> Evd.evar_map -> entry_relative_level -> raw_tactic_expr -> Pp.t) ->
  entry_relative_level -> 'a -> Pp.t

type 'a glob_extra_genarg_printer_with_level =
  Environ.env -> Evd.evar_map ->
  (Environ.env -> Evd.evar_map -> glob_constr_and_expr -> Pp.t) ->
  (Environ.env -> Evd.evar_map -> glob_constr_and_expr -> Pp.t) ->
  (Environ.env -> Evd.evar_map -> entry_relative_level -> glob_tactic_expr -> Pp.t) ->
  entry_relative_level -> 'a -> Pp.t

type 'a extra_genarg_printer_with_level =
  Environ.env -> Evd.evar_map ->
  (Environ.env -> Evd.evar_map -> EConstr.constr -> Pp.t) ->
  (Environ.env -> Evd.evar_map -> EConstr.constr -> Pp.t) ->
  (Environ.env -> Evd.evar_map -> entry_relative_level -> Val.t -> Pp.t) ->
  entry_relative_level -> 'a -> Pp.t

let string_of_genarg_arg (ArgumentType arg) =
  let rec aux : type a b c. (a, b, c) genarg_type -> string = function
  | ListArg t -> aux t ^ "_list"
  | OptArg t -> aux t ^ "_opt"
  | PairArg (t1, t2) -> assert false (* No parsing/printing rule for it *)
  | ExtraArg s -> ArgT.repr s in
  aux arg

  let keyword x = tag_keyword (str x)
  let primitive x = tag_primitive (str x)

  let has_type (Val.Dyn (tag, _)) t = match Val.eq tag t with
  | None -> false
  | Some _ -> true

  let unbox : type a. Val.t -> a Val.typ -> a= fun (Val.Dyn (tag, x)) t ->
  match Val.eq tag t with
  | None -> assert false
  | Some Refl -> x

  let rec pr_value lev v : Pp.t =
    if has_type v Val.typ_list then
      pr_sequence (fun x -> pr_value lev x) (unbox v Val.typ_list)
    else if has_type v Val.typ_opt then
      pr_opt_no_spc (fun x -> pr_value lev x) (unbox v Val.typ_opt)
    else if has_type v Val.typ_pair then
      let (v1, v2) = unbox v Val.typ_pair in
      str "(" ++ pr_value lev v1 ++ str ", " ++ pr_value lev v2 ++ str ")"
    else
      let Val.Dyn (tag, x) = v in
      let name = Val.repr tag in
      let default = str "<" ++ str name ++ str ">" in
      match ArgT.name name with
      | None -> default
      | Some (ArgT.Any arg) ->
        let wit = ExtraArg arg in
        match val_tag (Topwit wit) with
        | Val.Base t ->
          begin match Val.eq t tag with
          | None -> default
          | Some Refl ->
             let open Genprint in
             match generic_top_print (in_gen (Topwit wit) x) with
             | TopPrinterBasic pr -> pr ()
             | TopPrinterNeedsContext pr ->
               let env = Global.env() in
               pr env (Evd.from_env env)
             | TopPrinterNeedsContextAndLevel { default_ensure_surrounded; printer } ->
               let env = Global.env() in
               printer env (Evd.from_env env) default_ensure_surrounded
          end
        | _ -> default

  let pr_with_occurrences prvar pr c = Ppred.pr_with_occurrences prvar pr keyword c
  let pr_red_expr env sigma pr c = Ppred.pr_red_expr_env env sigma pr keyword c

  let pr_may_eval env sigma prc prlc pr2 pr3 pr4 = function
    | ConstrEval (r,c) ->
      hov 0
        (keyword "eval" ++ brk (1,1) ++
           pr_red_expr env sigma (prc,prlc,pr2,pr3,pr4) r ++ spc () ++
           keyword "in" ++ spc() ++ prc env sigma c)
    | ConstrContext ({CAst.v=id},c) ->
      hov 0
        (keyword "context" ++ spc () ++ pr_id id ++ spc () ++
           str "[ " ++ prlc env sigma c ++ str " ]")
    | ConstrTypeOf c ->
      hov 1 (keyword "type of" ++ spc() ++ prc env sigma c)
    | ConstrTerm c ->
      prc env sigma c

  let pr_arg pr x = spc () ++ pr x

  let pr_and_short_name pr (c,_) = pr c

  let pr_evaluable_reference = function
    | Evaluable.EvalVarRef id -> pr_id id
    | Evaluable.EvalConstRef sp -> pr_global (GlobRef.ConstRef sp)
    | Evaluable.EvalProjectionRef p -> str "TODO projection" (* TODO *)

  let pr_quantified_hypothesis = function
    | AnonHyp n -> int n
    | NamedHyp id -> pr_id id.CAst.v

  let pr_clear_flag clear_flag pp x =
    match clear_flag with
    | Some false -> surround (pp x)
    | Some true -> str ">" ++ pp x
    | None -> pp x

  let pr_with_bindings prc prlc (c,bl) =
    prc c ++ Miscprint.pr_bindings prc prlc bl

  let pr_with_bindings_arg prc prlc (clear_flag,c) =
    pr_clear_flag clear_flag (pr_with_bindings prc prlc) c

  let pr_with_constr prc = function
    | None -> mt ()
    | Some c -> spc () ++ hov 1 (keyword "with" ++ spc () ++ prc c)

  let pr_message_token prid = function
    | MsgString s -> tag_string (qs s)
    | MsgInt n -> int n
    | MsgIdent id -> prid id

  let pr_fresh_ids =
    prlist (fun s -> spc() ++ pr_or_var (fun s -> tag_string (qs s)) s)

  let with_evars ev s = if ev then "e" ^ s else s

  let rec tacarg_using_rule_token pr_gen = function
    | [] -> []
    | TacTerm s :: l -> keyword s :: tacarg_using_rule_token pr_gen l
    | TacNonTerm (_, ((symb, arg), _)) :: l  ->
      pr_gen symb arg :: tacarg_using_rule_token pr_gen l

  let pr_tacarg_using_rule pr_gen l =
    let l = match l with
    | TacTerm s :: l ->
      (* First terminal token should be considered as the name of the tactic,
         so we tag it differently than the other terminal tokens. *)
      primitive s :: tacarg_using_rule_token pr_gen l
    | _ -> tacarg_using_rule_token pr_gen l
    in
    pr_sequence (fun x -> x) l

  let pr_extend_gen pr_gen _ { mltac_name = s; mltac_index = i } l =
      let name =
        str s.mltac_plugin ++ str "::" ++ str s.mltac_tactic ++
        str "@" ++ int i
      in
      let args = match l with
        | [] -> mt ()
        | _ -> spc() ++ pr_sequence pr_gen l
      in
      str "<" ++ name ++ str ">" ++ args

  let rec pr_user_symbol = function
  | Extend.Ulist1 tkn -> "ne_" ^ pr_user_symbol tkn ^ "_list"
  | Extend.Ulist1sep (tkn, _) -> "ne_" ^ pr_user_symbol tkn ^ "_list"
  | Extend.Ulist0 tkn -> pr_user_symbol tkn ^ "_list"
  | Extend.Ulist0sep (tkn, _) -> pr_user_symbol tkn ^ "_list"
  | Extend.Uopt tkn -> pr_user_symbol tkn ^ "_opt"
  | Extend.Uentry tag ->
    let ArgT.Any tag = tag in
    ArgT.repr tag
  | Extend.Uentryl (_, lvl) -> "tactic" ^ string_of_int lvl

  let pr_alias_key key =
    try
      let prods = (KNmap.find key !prnotation_tab).pptac_prods in
      let pr = function
      | TacTerm s -> primitive s
      | TacNonTerm (_, (symb, _)) -> str (Printf.sprintf "(%s)" (pr_user_symbol symb))
      in
      pr_sequence pr prods
    with Not_found ->
      (* FIXME: This key, moreover printed with a low-level printer,
         has no meaning user-side *)
      KerName.print key

  let pr_alias_gen pr_gen lev key l =
    try
      let pp = KNmap.find key !prnotation_tab in
      let rec pack prods args = match prods, args with
      | [], [] -> []
      | TacTerm s :: prods, args -> TacTerm s :: pack prods args
      | TacNonTerm (_, (_, None)) :: prods, args -> pack prods args
      | TacNonTerm (loc, (symb, (Some _ as ido))) :: prods, arg :: args ->
        TacNonTerm (loc, ((symb, arg), ido)) :: pack prods args
      | _ -> raise Not_found
      in
      let prods = pack pp.pptac_prods l in
      let p = pr_tacarg_using_rule pr_gen prods in
      if pp.pptac_level > lev then surround p else hov 2 p
    with Not_found ->
      let pr _ = str "_" in
      KerName.print key ++ spc() ++ pr_sequence pr l ++ str" (* Generic printer *)"

  let pr_farg prtac arg = prtac LevelSome (CAst.make (TacArg  arg))

  let is_genarg tag wit =
    let ArgT.Any tag = tag in
    argument_type_eq (ArgumentType (ExtraArg tag)) wit

  let get_list : type l. l generic_argument -> l generic_argument list option =
  function (GenArg (wit, arg)) -> match wit with
  | Rawwit (ListArg wit) -> Some (List.map (in_gen (rawwit wit)) arg)
  | Glbwit (ListArg wit) -> Some (List.map (in_gen (glbwit wit)) arg)
  | _ -> None

  let get_opt : type l. l generic_argument -> l generic_argument option option =
  function (GenArg (wit, arg)) -> match wit with
  | Rawwit (OptArg wit) -> Some (Option.map (in_gen (rawwit wit)) arg)
  | Glbwit (OptArg wit) -> Some (Option.map (in_gen (glbwit wit)) arg)
  | _ -> None

  let rec pr_any_arg : type l. (_ -> l generic_argument -> Pp.t) -> _ -> l generic_argument -> Pp.t =
  fun prtac symb arg -> match symb with
  | Extend.Uentry tag when is_genarg tag (genarg_tag arg) -> prtac LevelSome arg
  | Extend.Ulist1 s | Extend.Ulist0 s ->
    begin match get_list arg with
    | None -> str "ltac:(" ++ prtac LevelSome arg ++ str ")"
    | Some l -> pr_sequence (pr_any_arg prtac s) l
    end
  | Extend.Ulist1sep (s, sep) | Extend.Ulist0sep (s, sep) ->
    begin match get_list arg with
    | None -> str "ltac:(" ++ prtac LevelSome arg ++ str ")"
    | Some l -> prlist_with_sep (fun () -> str sep) (pr_any_arg prtac s) l
    end
  | Extend.Uopt s ->
    begin match get_opt arg with
    | None -> str "ltac:(" ++ prtac LevelSome arg ++ str ")"
    | Some l -> pr_opt (pr_any_arg prtac s) l
    end
  | Extend.Uentry _ | Extend.Uentryl _ ->
    str "ltac:(" ++ prtac LevelSome arg ++ str ")"

  let pr_targ prtac symb arg = match symb with
  | Extend.Uentry tag when is_genarg tag (ArgumentType wit_tactic) ->
    prtac LevelSome arg
  | Extend.Uentryl (_, l) -> prtac (LevelLe l) arg
  | _ ->
    match arg with
    | TacGeneric (isquot,arg) ->
      let pr l arg = prtac l (TacGeneric (isquot,arg)) in
      pr_any_arg pr symb arg
    | _ -> str "ltac:(" ++ prtac LevelSome arg ++ str ")"

  let pr_raw_extend_rec prtac =
    pr_extend_gen (pr_farg prtac)
  let pr_glob_extend_rec prtac =
    pr_extend_gen (pr_farg prtac)

  let pr_raw_alias prtac lev key args =
    pr_alias_gen (pr_targ (fun l a -> prtac l (CAst.make @@ TacArg a))) lev key args
  let pr_glob_alias prtac lev key args =
    pr_alias_gen (pr_targ (fun l a -> prtac l (CAst.make @@ TacArg a))) lev key args

  (**********************************************************************)
  (* The tactic printer                                                 *)

  let strip_prod_binders_expr n ty =
    let rec strip_ty acc n ty =
      match ty.CAst.v with
          Constrexpr.CProdN(bll,a) ->
            let bll = List.map (function
            | CLocalAssum (nal,_,_,t) -> nal,t
            | _ -> user_err Pp.(str "Cannot translate fix tactic: not only products")) bll in
            let nb = List.fold_left (fun i (nal,t) -> i + List.length nal) 0 bll in
            if nb >= n then (List.rev (bll@acc)), a
            else strip_ty (bll@acc) (n-nb) a
        | _ -> user_err Pp.(str "Cannot translate fix tactic: not enough products") in
    strip_ty [] n ty

  let pr_ltac_or_var pr = function
    | ArgArg x -> pr x
    | ArgVar {CAst.loc;v=id} -> pr_with_comments ?loc (pr_id id)

  let pr_ltac_constant kn =
    if !Flags.in_debugger then KerName.print kn
    else try
           pr_qualid (Tacenv.shortest_qualid_of_tactic kn)
      with Not_found -> (* local tactic not accessible anymore *)
        str "<" ++ KerName.print kn ++ str ">"

  let pr_evaluable_reference_env env = function
    | Evaluable.EvalVarRef id -> pr_id id
    | Evaluable.EvalConstRef sp ->
      Nametab.pr_global_env (Termops.vars_of_env env) (GlobRef.ConstRef sp)
    | Evaluable.EvalProjectionRef p ->
      str "TODO projection" (* TODO *)

  let pr_as_disjunctive_ipat prc ipatl =
    keyword "as" ++ spc () ++
      pr_or_var (fun {CAst.loc;v=p} -> Miscprint.pr_or_and_intro_pattern prc p) ipatl

  let pr_eqn_ipat {CAst.v=ipat} = keyword "eqn:" ++ Miscprint.pr_intro_pattern_naming ipat

  let pr_with_induction_names prc = function
    | None, None -> mt ()
    | Some eqpat, None -> hov 1 (pr_eqn_ipat eqpat)
    | None, Some ipat -> hov 1 (pr_as_disjunctive_ipat prc ipat)
    | Some eqpat, Some ipat ->
        hov 1 (pr_as_disjunctive_ipat prc ipat ++ spc () ++ pr_eqn_ipat eqpat)

  let pr_as_intro_pattern prc ipat =
    spc () ++ hov 1 (keyword "as" ++ spc () ++ Miscprint.pr_intro_pattern prc ipat)

  let pr_with_inversion_names prc = function
    | None -> mt ()
    | Some ipat -> pr_as_disjunctive_ipat prc ipat

  let pr_as_ipat prc = function
    | None -> mt ()
    | Some ipat -> pr_as_intro_pattern prc ipat

  let pr_as_name = function
    | Anonymous -> mt ()
    | Name id -> spc () ++ keyword "as" ++ spc () ++ pr_lident (CAst.make id)

  let pr_pose_as_style prc na c =
    spc() ++ prc c ++ pr_as_name na

  let pr_pose prc prlc na c = match na with
    | Anonymous -> spc() ++ prc c
    | Name id -> spc() ++ surround (pr_id id ++ str " :=" ++ spc() ++ prlc c)

  let pr_assertion prc prdc _prlc ipat c = match ipat with
    (* Use this "optimisation" or use only the general case ?
       | IntroIdentifier id ->
       spc() ++ surround (pr_intro_pattern ipat ++ str " :" ++ spc() ++ prlc c)
    *)
    | ipat ->
      spc() ++ prc c ++ pr_as_ipat prdc ipat

  let pr_assumption prc prdc prlc ipat c = match ipat with
    (* Use this "optimisation" or use only the general case ?*)
    (* it seems that this "optimisation" is somehow more natural *)
    | Some {CAst.v=IntroNaming (IntroIdentifier id)} ->
      spc() ++ surround (pr_id id ++ str " :" ++ spc() ++ prlc c)
    | ipat ->
      spc() ++ prc c ++ pr_as_ipat prdc ipat

  let pr_by_tactic prt = function
    | Some tac -> keyword "by" ++ spc () ++ prt tac
    | None -> mt()

  let pr_hyp_location pr_id = function
    | occs, InHyp -> pr_with_occurrences (pr_or_var int) pr_id occs
    | occs, InHypTypeOnly ->
      pr_with_occurrences (pr_or_var int) (fun id ->
        str "(" ++ keyword "type of" ++ spc () ++ pr_id id ++ str ")"
      ) occs
    | occs, InHypValueOnly ->
      pr_with_occurrences (pr_or_var int) (fun id ->
        str "(" ++ keyword "value of" ++ spc () ++ pr_id id ++ str ")"
      ) occs

  let pr_in pp = hov 0 (keyword "in" ++ pp)

  let pr_simple_hyp_clause pr_id = function
    | [] -> mt ()
    | l -> pr_in (spc () ++ prlist_with_sep spc pr_id l)

  let pr_in_hyp_as prc pr_id = function
    | [] -> mt ()
    | l -> pr_in (spc () ++ prlist_with_sep pr_comma (fun (id,ipat) -> pr_id id ++ pr_as_ipat prc ipat) l)

  let pr_in_clause pr_id = function
    | { onhyps=None; concl_occs=NoOccurrences } ->
      (str "* |-")
    | { onhyps=None; concl_occs=occs } ->
      (pr_with_occurrences (pr_or_var int) (fun () -> str "*") (occs,()))
    | { onhyps=Some l; concl_occs=NoOccurrences } ->
      prlist_with_sep (fun () -> str ", ") (pr_hyp_location pr_id) l
    | { onhyps=Some l; concl_occs=occs } ->
      let pr_occs = pr_with_occurrences (pr_or_var int) (fun () -> str" |- *") (occs,()) in
      (prlist_with_sep (fun () -> str", ") (pr_hyp_location pr_id) l ++ pr_occs)

  (* Some true = default is concl; Some false = default is all; None = no default *)
  let pr_clauses has_default pr_id = function
    | { onhyps=Some []; concl_occs=occs }
        when (match has_default with Some true -> true | _ -> false) ->
      pr_with_occurrences (pr_or_var int) mt (occs,())
    | { onhyps=None; concl_occs=AllOccurrences }
        when (match has_default with Some false -> true | _ -> false) -> mt ()
    | { onhyps=None; concl_occs=NoOccurrences } ->
      pr_in (str " * |-")
    | { onhyps=None; concl_occs=occs } ->
      pr_in (pr_with_occurrences (pr_or_var int) (fun () -> str " *") (occs,()))
    | { onhyps=Some l; concl_occs=occs } ->
      let pr_occs = match occs with
        | NoOccurrences -> mt ()
        | _ -> pr_with_occurrences (pr_or_var int) (fun () -> str" |- *") (occs,())
      in
      pr_in
        (prlist_with_sep (fun () -> str",")
           (fun id -> spc () ++ pr_hyp_location pr_id id) l ++ pr_occs)

  (* When the [ssreflect.SsrSynax] module is imported, ssreflect operates
     in reduced compatibility mode. During printing, we try to account for
     this when this module is imported. See [plugins/ssr/ssrparser.mlg] for
     the code that enables the reduced compatibility mode. *)
  let ssr_loaded = ref (fun () -> false)
  let ssr_loaded_hook f = ssr_loaded := f

  let pr_orient b = if b then if !ssr_loaded () then str "-> " else mt () else str "<- "

  let pr_multi = let open Equality in function
    | Precisely 1 -> mt ()
    | Precisely n -> int n ++ str "!"
    | UpTo n -> int n ++ str "?"
    | RepeatStar -> str "?"
    | RepeatPlus -> str "!"

  let pr_core_destruction_arg prc prlc = function
    | ElimOnConstr c -> pr_with_bindings prc prlc c
    | ElimOnIdent {CAst.loc;v=id} -> pr_with_comments ?loc (pr_id id)
    | ElimOnAnonHyp n -> int n

  let pr_destruction_arg prc prlc (clear_flag,h) =
    pr_clear_flag clear_flag (pr_core_destruction_arg prc prlc) h

  let pr_inversion_kind = let open Inv in function
    | SimpleInversion -> primitive "simple inversion"
    | FullInversion -> primitive "inversion"
    | FullInversionClear -> primitive "inversion_clear"

let pr_goal_selector ~toplevel s =
  (if toplevel then mt () else str "only ") ++ Goal_select.pr_goal_selector s ++ str ":"

  let pr_lazy = function
    | General -> keyword "multi"
    | Select -> keyword "lazy"
    | Once -> mt ()

  let pr_match_pattern pr_pat = function
    | Term a -> pr_pat a
    | Subterm (None,a) ->
      keyword "context" ++ str" [ " ++ pr_pat a ++ str " ]"
    | Subterm (Some id,a) ->
      keyword "context" ++ spc () ++ pr_id id ++ str "[ " ++ pr_pat a ++ str " ]"

  let pr_match_hyps pr_pat = function
    | Hyp (nal,mp) ->
      pr_lname nal ++ str ":" ++ pr_match_pattern pr_pat mp
    | Def (nal,mv,mp) ->
      pr_lname nal ++ str ":=" ++ pr_match_pattern pr_pat mv
      ++ str ":" ++ pr_match_pattern pr_pat mp

  let pr_match_rule m pr pr_pat = function
    | Pat ([],mp,t) when m ->
      pr_match_pattern pr_pat mp ++
        spc () ++ str "=>" ++ brk (1,4) ++ pr t
    (*
      | Pat (rl,mp,t) ->
      hv 0 (prlist_with_sep pr_comma (pr_match_hyps pr_pat) rl ++
      (if rl <> [] then spc () else mt ()) ++
      hov 0 (str "|-" ++ spc () ++ pr_match_pattern pr_pat mp ++ spc () ++
      str "=>" ++ brk (1,4) ++ pr t))
    *)
    | Pat (rl,mp,t) ->
      hov 0 (
        hv 0 (prlist_with_sep pr_comma (pr_match_hyps pr_pat) rl) ++
          (if not (List.is_empty rl) then spc () else mt ()) ++
          hov 0 (
            str "|-" ++ spc () ++ pr_match_pattern pr_pat mp ++ spc () ++
              str "=>" ++ brk (1,4) ++ pr t))
    | All t -> str "_" ++ spc () ++ str "=>" ++ brk (1,4) ++ pr t

  let pr_funvar n = spc () ++ Name.print n

  let pr_let_clause pr_gen pr_arg (na,(bl,t)) =
    let pr = function
      | TacGeneric (_,arg) ->
         let name = string_of_genarg_arg (genarg_tag arg) in
         if name = "unit" || name = "int" then
           (* Hard-wired parsing rules *)
           pr_gen ltop arg
         else
           str name ++ str ":" ++ surround (pr_gen ltop arg)
      | _ -> pr_arg (CAst.make (TacArg t)) in
    hov 2 (pr_lname na ++ prlist pr_funvar bl ++ str " :=" ++ spc() ++ hov 2 (pr t))

let pr_let_clauses recflag pr_gen pr l =
  hov 2
    (v 0
       (str (if recflag then "let rec " else "let ") ++
        (prlist_with_sep (fun () -> spc() ++ str "with ") (pr_let_clause pr_gen pr) l)) ++
     spc() ++ str "in")

  let pr_seq_body pr tl =
    hv 0 (str "[ " ++
            prlist_with_sep (fun () -> spc () ++ str "| ") pr tl ++
            str " ]")

  let pr_dispatch pr tl =
    hv 0 (str "[>" ++
            prlist_with_sep (fun () -> spc () ++ str "| ") pr tl ++
            str " ]")

  let pr_opt_tactic pr = function
    | {CAst.v=(TacId [])} -> mt ()
    | t -> pr t

  let pr_tac_extend_gen pr tf tm tl =
    prvect_with_sep mt (fun t -> pr t ++ spc () ++ str "| ") tf ++
      pr_opt_tactic pr tm ++ str ".." ++
      prvect_with_sep mt (fun t -> spc () ++ str "| " ++ pr t) tl

  let pr_then_gen pr tf tm tl =
    hv 0 (str "[ " ++
            pr_tac_extend_gen pr tf tm tl ++
            str " ]")

  let pr_tac_extend pr tf tm tl =
    hv 0 (str "[>" ++
            pr_tac_extend_gen pr tf tm tl ++
            str " ]")

  let pr_hintbases = function
    | None -> keyword "with" ++ str" *"
    | Some [] -> mt ()
    | Some l -> hov 2 (keyword "with" ++ prlist (fun s -> spc () ++ str s) l)

  let pr_auto_using prc = function
    | [] -> mt ()
    | l -> hov 2 (keyword "using" ++ spc () ++ prlist_with_sep pr_comma prc l)

  let pr_then () = str ";"

  let ltop = LevelLe 5
  let lseq = 4
  let ltactical = 3
  let lorelse = 2
  let llet = 5 (* in principle necessary only on the left-hand side of binary operators *)
  let lfun = 5
  let labstract = 3
  let lmatch = 1
  let latom = 0
  let lcall = 1
  let leval = 1
  let ltatom = 1

  let level_of p = match p with LevelLe n -> n | LevelLt n -> n-1 | LevelSome -> lseq

  (** A printer for tactics that polymorphically works on the three
      "raw", "glob" and "typed" levels *)

  type 'a printer = {
    pr_tactic    : entry_relative_level -> 'tacexpr -> Pp.t;
    pr_constr    : Environ.env -> Evd.evar_map -> 'trm -> Pp.t;
    pr_lconstr   : Environ.env -> Evd.evar_map -> 'trm -> Pp.t;
    pr_dconstr   : Environ.env -> Evd.evar_map -> 'dtrm -> Pp.t;
    pr_red_pattern   : Environ.env -> Evd.evar_map -> 'rpat -> Pp.t;
    pr_pattern   : Environ.env -> Evd.evar_map -> 'pat -> Pp.t;
    pr_lpattern  : Environ.env -> Evd.evar_map -> 'pat -> Pp.t;
    pr_constant  : 'cst -> Pp.t;
    pr_reference : 'ref -> Pp.t;
    pr_name      : 'nam -> Pp.t;
    pr_occvar    : 'occvar -> Pp.t;
    pr_generic   : Environ.env -> Evd.evar_map -> entry_relative_level -> 'lev generic_argument -> Pp.t;
    pr_extend    : int -> ml_tactic_entry -> 'a gen_tactic_arg list -> Pp.t;
    pr_alias     : int -> KerName.t -> 'a gen_tactic_arg list -> Pp.t;
  }

  constraint 'a = <
      term      :'trm;
      dterm     :'dtrm;
      pattern   :'pat;
      red_pattern :'rpat;
      constant  :'cst;
      reference :'ref;
      name      :'nam;
      occvar    :'occvar;
      tacexpr   :'tacexpr;
      level     :'lev
    >

    let pr_atom env sigma pr strip_prod_binders tag_atom =
      let pr_with_bindings = pr_with_bindings (pr.pr_constr env sigma) (pr.pr_lconstr env sigma) in
      let pr_with_bindings_arg_full = pr_with_bindings_arg in
      let pr_with_bindings_arg = pr_with_bindings_arg (pr.pr_constr env sigma) (pr.pr_lconstr env sigma) in
      let pr_red_expr = pr_red_expr env sigma (pr.pr_constr,pr.pr_lconstr,pr.pr_constant,pr.pr_red_pattern,pr.pr_occvar) in

      let _pr_constrarg c = spc () ++ pr.pr_constr env sigma c in
      let pr_lconstrarg c = spc () ++ pr.pr_lconstr env sigma c in
      let pr_intarg n = spc () ++ int n in

      (* Some printing combinators *)
      let pr_eliminator cb = keyword "using" ++ pr_arg pr_with_bindings cb in

      let pr_binder_fix (nal,t) =
        (*  match t with
            | CHole _ -> spc() ++ prlist_with_sep spc (pr_lname) nal
            | _ ->*)
        let s = prlist_with_sep spc pr_lname nal ++ str ":" ++ pr.pr_lconstr env sigma t in
        spc() ++ hov 1 (str"(" ++ s ++ str")") in

      let pr_fix_tac (id,n,c) =
        let rec set_nth_name avoid n = function
        (nal,ty)::bll ->
          if n <= List.length nal then
            match List.chop (n-1) nal with
                _, {CAst.v=Name id} :: _ -> id, (nal,ty)::bll
              | bef, {CAst.loc;v=Anonymous} :: aft ->
                let id = next_ident_away (Id.of_string"y") avoid in
                id, ((bef@(CAst.make ?loc @@ Name id)::aft, ty)::bll)
              | _ -> assert false
          else
            let (id,bll') = set_nth_name avoid (n-List.length nal) bll in
            (id,(nal,ty)::bll')
          | [] -> assert false in
        let (bll,ty) = strip_prod_binders n c in
        let names =
          List.fold_left
            (fun ln (nal,_) -> List.fold_left
              (fun ln na -> match na with { CAst.v=Name id } -> Id.Set.add id ln | _ -> ln)
              ln nal)
            Id.Set.empty bll in
        let idarg,bll = set_nth_name names n bll in
        let annot =
          if Int.equal (Id.Set.cardinal names) 1 then
            mt ()
          else
            spc() ++ str"{"
            ++ keyword "struct" ++ spc ()
            ++ pr_id idarg ++ str"}"
        in
        hov 1 (str"(" ++ pr_id id ++
                  prlist pr_binder_fix bll ++ annot ++ str" :" ++
                  (pr_lconstrarg ty) ++ str")") in
      (*  spc() ++
          hov 0 (pr_id id ++ pr_intarg n ++ str":" ++ _pr_constrarg
          c)
      *)
      let pr_cofix_tac (id,c) =
        hov 1 (str"(" ++ pr_id id ++ str" :" ++ pr_lconstrarg c ++ str")") in

      (* Printing tactics as arguments *)
      let rec pr_atom0 a = tag_atom a (match a with
        | TacIntroPattern (false,[]) -> primitive "intros"
        | TacIntroPattern (true,[]) -> primitive "eintros"
        | t -> str "(" ++ pr_atom1 t ++ str ")"
      )

      (* Main tactic printer *)
      and pr_atom1 a = tag_atom a (match a with
        (* Basic tactics *)
        | TacIntroPattern (_,[]) as t ->
          pr_atom0 t
        | TacIntroPattern (ev,(_::_ as p)) ->
           hov 1 (primitive (if ev then "eintros" else "intros") ++
                    (match p with
                    | [{CAst.v=IntroForthcoming false}] -> mt ()
                    | _ -> spc () ++ prlist_with_sep spc (Miscprint.pr_intro_pattern @@ pr.pr_dconstr env sigma) p))
        | TacApply (a,ev,cb,inhyp) ->
          hov 1 (
            (if a then mt() else primitive "simple ") ++
              primitive (with_evars ev "apply") ++ spc () ++
              prlist_with_sep pr_comma pr_with_bindings_arg cb ++
              pr_non_empty_arg (pr_in_hyp_as (pr.pr_dconstr env sigma) pr.pr_name) inhyp
          )
        | TacElim (ev,cb,cbo) ->
          hov 1 (
            primitive (with_evars ev "elim")
            ++ pr_arg pr_with_bindings_arg cb
            ++ pr_opt pr_eliminator cbo)
        | TacCase (ev,cb) ->
          hov 1 (primitive (with_evars ev "case") ++ spc () ++ pr_with_bindings_arg cb)
        | TacMutualFix (id,n,l) ->
          hov 1 (
            primitive "fix" ++ spc () ++ pr_id id ++ pr_intarg n ++ spc()
            ++ keyword "with" ++ spc () ++ prlist_with_sep spc pr_fix_tac l)
        | TacMutualCofix (id,l) ->
          hov 1 (
            primitive "cofix" ++ spc () ++ pr_id id ++ spc()
            ++ keyword "with" ++ spc () ++ prlist_with_sep spc pr_cofix_tac l
          )
        | TacAssert (ev,b,Some tac,ipat,c) ->
          hov 1 (
            primitive (if b then if ev then "eassert" else "assert" else if ev then "eenough" else "enough") ++
              pr_assumption (pr.pr_constr env sigma) (pr.pr_dconstr env sigma) (pr.pr_lconstr env sigma) ipat c ++
              pr_non_empty_arg (pr_by_tactic (pr.pr_tactic (LevelLe ltactical))) tac
          )
        | TacAssert (ev,_,None,ipat,c) ->
          hov 1 (
            primitive (if ev then "epose proof" else "pose proof")
            ++ pr_assertion (pr.pr_constr env sigma) (pr.pr_dconstr env sigma) (pr.pr_lconstr env sigma) ipat c
          )
        | TacGeneralize l ->
          hov 1 (
            primitive "generalize" ++ spc ()
            ++ prlist_with_sep pr_comma (fun (cl,na) ->
              pr_with_occurrences pr.pr_occvar (pr.pr_constr env sigma) cl ++ pr_as_name na)
              l
          )
        | TacLetTac (ev,na,c,cl,true,_) when Locusops.is_nowhere cl ->
          hov 1 (primitive (if ev then "epose" else "pose") ++ pr_pose (pr.pr_constr env sigma) (pr.pr_lconstr env sigma) na c)
        | TacLetTac (ev,na,c,cl,b,e) ->
          hov 1 (
            primitive (if b then if ev then "eset" else "set" else if ev then "eremember" else "remember") ++
              (if b then pr_pose (pr.pr_constr env sigma) (pr.pr_lconstr env sigma) na c
                else pr_pose_as_style (pr.pr_constr env sigma) na c) ++
              pr_opt (fun p -> pr_eqn_ipat p ++ spc ()) e ++
              pr_non_empty_arg (pr_clauses (Some b) pr.pr_name) cl)

        (* Derived basic tactics *)
        | TacInductionDestruct (isrec,ev,(l,el)) ->
          hov 1 (
            primitive (with_evars ev (if isrec then "induction" else "destruct"))
            ++ spc ()
            ++ prlist_with_sep pr_comma (fun (h,ids,cl) ->
              pr_destruction_arg (pr.pr_dconstr env sigma) (pr.pr_dconstr env sigma) h ++
                pr_non_empty_arg (pr_with_induction_names (pr.pr_dconstr env sigma)) ids ++
                pr_opt (pr_clauses None pr.pr_name) cl) l ++
              pr_opt pr_eliminator el
          )

        (* Conversion *)
        | TacReduce (r,h) ->
          hov 1 (
            pr_red_expr r
            ++ pr_non_empty_arg (pr_clauses (Some true) pr.pr_name) h
          )
        | TacChange (check,op,c,h) ->
          let name = if check then "change" else "change_no_check" in
          hov 1 (
            primitive name ++ brk (1,1)
            ++ (
              match op with
                  None ->
                    mt ()
                | Some p ->
                  pr.pr_red_pattern env sigma p ++ spc ()
                  ++ keyword "with" ++ spc ()
            ) ++ pr.pr_dconstr env sigma c ++ pr_non_empty_arg (pr_clauses (Some true) pr.pr_name) h
          )

        (* Equality and inversion *)
        | TacRewrite (ev,l,cl,tac) ->
          hov 1 (
            primitive (with_evars ev "rewrite") ++ spc ()
            ++ prlist_with_sep
              (fun () -> str ","++spc())
              (fun (b,m,c) ->
                pr_orient b ++ pr_multi m ++
                  pr_with_bindings_arg_full (pr.pr_dconstr env sigma) (pr.pr_dconstr env sigma) c)
              l
            ++ pr_non_empty_arg (pr_clauses (Some true) pr.pr_name) cl
            ++ pr_non_empty_arg (pr_by_tactic (pr.pr_tactic (LevelLe ltactical))) tac
          )
        | TacInversion (DepInversion (k,c,ids),hyp) ->
          hov 1 (
            primitive "dependent " ++ pr_inversion_kind k ++ spc ()
            ++ pr_quantified_hypothesis hyp
            ++ pr_with_inversion_names (pr.pr_dconstr env sigma) ids
            ++ pr_with_constr (pr.pr_constr env sigma) c
          )
        | TacInversion (NonDepInversion (k,cl,ids),hyp) ->
          hov 1 (
            pr_inversion_kind k ++ spc ()
            ++ pr_quantified_hypothesis hyp
            ++ pr_non_empty_arg (pr_with_inversion_names @@ pr.pr_dconstr env sigma) ids
            ++ pr_non_empty_arg (pr_simple_hyp_clause pr.pr_name) cl
          )
        | TacInversion (InversionUsing (c,cl),hyp) ->
          hov 1 (
            primitive "inversion" ++ spc()
            ++ pr_quantified_hypothesis hyp ++ spc ()
            ++ keyword "using" ++ spc () ++ pr.pr_constr env sigma c
            ++ pr_non_empty_arg (pr_simple_hyp_clause pr.pr_name) cl
          )
      )
      in
      pr_atom1

    let make_pr_tac env sigma pr strip_prod_binders tag_atom tag =
        let extract_binders = function
          | Tacexp { CAst.loc; v=(TacFun (lvar,body))} -> (lvar,Tacexp body)
          | body -> ([],body) in
        let rec pr_tac inherited tac =
          let return (doc, l) = (tag tac doc, l) in
          let (loc, tac) = CAst.(tac.loc, tac.v) in
          let (strm, prec) = return (match tac with
            | TacAbstract (t,None) ->
              keyword "abstract " ++ pr_tac (LevelLt labstract) t, labstract
            | TacAbstract (t,Some s) ->
              hov 0 (
                keyword "abstract"
                ++ str" (" ++ pr_tac (LevelLt labstract) t ++ str")" ++ spc ()
                ++ keyword "using" ++ spc () ++ pr_id s),
              labstract
            | TacLetIn (recflag,llc,u) ->
              let llc = List.map (fun (id,t) -> (id,extract_binders t)) llc in
              v 0
                (pr_let_clauses recflag (pr.pr_generic env sigma) (pr_tac ltop) llc ++ spc () ++
                 pr_tac (LevelLe llet) u),
              llet
            | TacMatch (lz,t,lrul) ->
              hov 0 (
                pr_lazy lz ++ keyword "match" ++ spc ()
                ++ pr_tac ltop t ++ spc () ++ keyword "with"
                ++ prlist (fun r ->
                  fnl () ++ str "| "
                  ++ pr_match_rule true (pr_tac ltop) (pr.pr_lpattern env sigma) r
                ) lrul
                ++ fnl() ++ keyword "end"),
              lmatch
            | TacMatchGoal (lz,lr,lrul) ->
              hov 0 (
                pr_lazy lz
                ++ keyword (if lr then "match reverse goal with" else "match goal with")
                ++ prlist (fun r ->
                  fnl () ++ str "| "
                  ++ pr_match_rule false (pr_tac ltop) (pr.pr_lpattern env sigma) r
                ) lrul ++ fnl() ++ keyword "end"),
              lmatch
            | TacFun (lvar,body) ->
              hov 2 (
                keyword "fun"
                ++ prlist pr_funvar lvar ++ str " =>" ++ spc ()
                ++ pr_tac (LevelLe lfun) body),
              lfun
            | TacThens (t,tl) ->
              hov 1 (
                pr_tac (LevelLe lseq) t ++ pr_then () ++ spc ()
                ++ pr_seq_body (pr_opt_tactic (pr_tac ltop)) tl),
              lseq
            | TacThen (t1,t2) ->
              hov 1 (
                pr_tac (LevelLe lseq) t1 ++ pr_then () ++ spc ()
                ++ pr_tac (LevelLt lseq) t2),
              lseq
            | TacDispatch tl ->
              pr_dispatch (pr_tac ltop) tl, lseq
            | TacExtendTac (tf,t,tr) ->
              pr_tac_extend (pr_tac ltop) tf t tr , lseq
            | TacThens3parts (t1,tf,t2,tl) ->
              hov 1 (
                pr_tac (LevelLe lseq) t1 ++ pr_then () ++ spc ()
                ++ pr_then_gen (pr_tac ltop) tf t2 tl),
              lseq
            | TacTry t ->
              hov 1 (
                keyword "try" ++ spc () ++ pr_tac (LevelLe ltactical) t),
              ltactical
            | TacDo (n,t) ->
              hov 1 (
                str "do" ++ spc ()
                ++ pr_or_var int n ++ spc ()
                ++ pr_tac (LevelLe ltactical) t),
              ltactical
            | TacTimeout (n,t) ->
              hov 1 (
                keyword "timeout "
                ++ pr_or_var int n ++ spc ()
                ++ pr_tac (LevelLe ltactical) t),
              ltactical
            | TacTime (s,t) ->
              hov 1 (
                keyword "time"
                ++ pr_opt qstring s ++ spc ()
                ++ pr_tac (LevelLe ltactical) t),
              ltactical
            | TacRepeat t ->
              hov 1 (
                keyword "repeat" ++ spc ()
                ++ pr_tac (LevelLe ltactical) t),
              ltactical
            | TacProgress t ->
              hov 1 (
                keyword "progress" ++ spc ()
                ++ pr_tac (LevelLe ltactical) t),
              ltactical
            | TacOr (t1,t2) ->
              hov 1 (
                pr_tac (LevelLt lorelse) t1 ++ spc ()
                ++ str "+" ++ brk (1,1)
                ++ pr_tac (LevelLe lorelse) t2),
              lorelse
            | TacOnce t ->
              hov 1 (
                keyword "once" ++ spc ()
                ++ pr_tac (LevelLe ltactical) t),
              ltactical
            | TacExactlyOnce t ->
              hov 1 (
                keyword "exactly_once" ++ spc ()
                ++ pr_tac (LevelLe ltactical) t),
              ltactical
            | TacIfThenCatch (t,tt,te) ->
                hov 1 (
                 str"tryif" ++ spc() ++ pr_tac (LevelLe ltactical) t ++ brk(1,1) ++
                 str"then" ++ spc() ++ pr_tac (LevelLe ltactical) tt ++ brk(1,1) ++
                 str"else" ++ spc() ++ pr_tac (LevelLe ltactical) te ++ brk(1,1)),
                ltactical
            | TacOrelse (t1,t2) ->
              hov 1 (
                pr_tac (LevelLt lorelse) t1 ++ spc ()
                ++ str "||" ++ brk (1,1)
                ++ pr_tac (LevelLe lorelse) t2),
              lorelse
            | TacFail (g,n,l) ->
              let arg =
                match n with
                  | ArgArg 0 -> mt ()
                  | _ -> pr_arg (pr_or_var int) n
              in
              let name =
                match g with
                | TacGlobal -> keyword "gfail"
                | TacLocal -> keyword "fail"
              in
              hov 1 (
                name ++ arg
                ++ prlist (pr_arg (pr_message_token pr.pr_name)) l),
              latom
            | TacFirst tl ->
              keyword "first" ++ spc () ++ pr_seq_body (pr_tac ltop) tl, llet
            | TacSolve tl ->
              keyword "solve" ++ spc () ++ pr_seq_body (pr_tac ltop) tl, llet
            | TacSelect (s, tac) -> pr_goal_selector ~toplevel:false s ++ spc () ++ pr_tac ltop tac, ltactical
            | TacId l ->
              hov 2 (keyword "idtac" ++ prlist (pr_arg (pr_message_token pr.pr_name)) l), latom
            | TacAtom t ->
              pr_with_comments ?loc (hov 1 (pr_atom env sigma pr strip_prod_binders tag_atom t)), ltatom
            | TacArg (Tacexp e) ->
              pr_tac inherited e, latom
            | TacArg (ConstrMayEval (ConstrTerm c)) ->
              keyword "constr:" ++ pr.pr_constr env sigma c, latom
            | TacArg (ConstrMayEval c) ->
              pr_may_eval env sigma pr.pr_constr pr.pr_lconstr pr.pr_constant pr.pr_red_pattern pr.pr_occvar c, leval
            | TacArg (TacFreshId l) ->
              primitive "fresh" ++ pr_fresh_ids l, latom
            | TacArg (TacGeneric (isquot,arg)) ->
              let p = pr.pr_generic env sigma (if Option.has_some isquot then ltop else LevelLe 0) arg in
              (match isquot with Some name -> str name ++ str ":(" ++ p ++ str ")" | None -> p), latom
            | TacArg (TacCall {CAst.v=(f,[])}) ->
              pr.pr_reference f, latom
            | TacArg (TacCall {CAst.loc; v=(f,l)}) ->
              pr_with_comments ?loc (hov 1 (
                pr.pr_reference f ++ spc ()
                ++ prlist_with_sep spc pr_tacarg l)),
              lcall
            | TacArg a ->
              pr_tacarg a, latom
            | TacML (s,l) ->
              pr_with_comments ?loc (pr.pr_extend 1 s l), lcall
            | TacAlias (kn,l) ->
              pr_with_comments ?loc (pr.pr_alias (level_of inherited) kn l), latom
          )
          in
          if Notation.prec_less prec inherited then strm
          else str"(" ++ strm ++ str")"

        and pr_tacarg = function
          | Reference r ->
            pr.pr_reference r
          | ConstrMayEval c ->
            pr_may_eval env sigma pr.pr_constr pr.pr_lconstr pr.pr_constant pr.pr_red_pattern pr.pr_occvar c
          | TacFreshId l ->
            keyword "fresh" ++ pr_fresh_ids l
          | TacPretype c ->
            keyword "type_term" ++ pr.pr_constr env sigma c
          | TacNumgoals ->
            keyword "numgoals"
          | (TacCall _|Tacexp _ | TacGeneric _) as a ->
            hov 0 (keyword "ltac:" ++ surround (pr_tac ltop (CAst.make (TacArg a))))

        in pr_tac

  let strip_prod_binders_glob_constr n (ty,_) =
    let rec strip_ty acc n ty =
      if Int.equal n 0 then (List.rev acc, (ty,None)) else
        match DAst.get ty with
            Glob_term.GProd(na,_,Glob_term.Explicit,a,b) ->
              strip_ty (([CAst.make na],(a,None))::acc) (n-1) b
          | _ -> user_err Pp.(str "Cannot translate fix tactic: not enough products") in
    strip_ty [] n ty

  let raw_printers =
    (strip_prod_binders_expr)

  let rec pr_raw_tactic_level env sigma n (t:raw_tactic_expr) =
    let pr = {
      pr_tactic = pr_raw_tactic_level env sigma;
      pr_constr = pr_constr_expr;
      pr_dconstr = pr_constr_expr;
      pr_lconstr = pr_lconstr_expr;
      pr_red_pattern = pr_constr_expr;
      pr_pattern = pr_constr_pattern_expr;
      pr_lpattern = pr_lconstr_pattern_expr;
      pr_constant = pr_or_by_notation pr_qualid;
      pr_reference = pr_qualid;
      pr_name = pr_lident;
      pr_occvar = pr_or_var int;
      pr_generic = (fun env sigma level v -> Pputils.pr_raw_generic env sigma ~level v);
      pr_extend = pr_raw_extend_rec @@ pr_raw_tactic_level env sigma;
      pr_alias = pr_raw_alias @@ pr_raw_tactic_level env sigma;
    } in
    make_pr_tac env sigma
      pr raw_printers
      tag_raw_atomic_tactic_expr tag_raw_tactic_expr
      n t

  let pr_raw_tactic env sigma = pr_raw_tactic_level env sigma ltop

  let pr_and_constr_expr pr (c,_) = pr c

  let pr_pat_and_constr_expr pr (_,(c,_),_) = pr c

  let pr_glob_tactic_level env n t =
    let glob_printers =
      (strip_prod_binders_glob_constr)
    in
    let rec prtac n (t:glob_tactic_expr) =
      let pr = {
        pr_tactic = prtac;
        pr_constr = (fun env sigma -> pr_and_constr_expr (pr_glob_constr_env env sigma));
        pr_dconstr = (fun env sigma -> pr_and_constr_expr (pr_glob_constr_env env sigma));
        pr_lconstr = (fun env sigma -> pr_and_constr_expr (pr_lglob_constr_env env sigma));
        pr_red_pattern = (fun env sigma -> pr_and_constr_expr (pr_glob_constr_env env sigma));
        pr_pattern = (fun env sigma -> pr_pat_and_constr_expr (pr_glob_constr_env env sigma));
        pr_constant = pr_or_var (pr_and_short_name (pr_evaluable_reference_env env));
        pr_lpattern = (fun env sigma -> pr_pat_and_constr_expr (pr_lglob_constr_env env sigma));
        pr_reference = pr_ltac_or_var (pr_located pr_ltac_constant);
        pr_name = pr_lident;
        pr_occvar = pr_or_var int;
        pr_generic = (fun env sigma level v -> Pputils.pr_glb_generic env sigma ~level v);
        pr_extend = pr_glob_extend_rec prtac;
        pr_alias = pr_glob_alias prtac;
      } in
      make_pr_tac env (Evd.from_env env)
        pr glob_printers
        tag_glob_atomic_tactic_expr tag_glob_tactic_expr
        n t
    in
    prtac n t

  let pr_glob_tactic env = pr_glob_tactic_level env ltop

  let strip_prod_binders_constr n ty =
    let ty = EConstr.Unsafe.to_constr ty in
    let rec strip_ty acc n ty =
      if n=0 then (List.rev acc, EConstr.of_constr ty) else
        match Constr.kind ty with
        | Constr.Prod(na,a,b) ->
          strip_ty (([CAst.make na.Context.binder_name],EConstr.of_constr a)::acc) (n-1) b
        | _ -> user_err Pp.(str "Cannot translate fix tactic: not enough products") in
    strip_ty [] n ty

  let pr_atomic_tactic_level env sigma t =
    let prtac (t:atomic_tactic_expr) =
      let pr = {
        pr_tactic = (fun _ _ -> str "");
        pr_constr = pr_econstr_env;
        pr_dconstr = (fun env sigma -> pr_and_constr_expr (pr_glob_constr_env env sigma));
        pr_lconstr = pr_leconstr_env;
        pr_red_pattern = pr_constr_pattern_env;
        pr_pattern = pr_constr_pattern_env;
        pr_lpattern = pr_lconstr_pattern_env;
        pr_constant = pr_evaluable_reference_env env;
        pr_reference = pr_located pr_ltac_constant;
        pr_name = pr_id;
        pr_occvar = int;
        (* Those are not used by the atomic printer *)
        pr_generic = (fun _ -> assert false);
        pr_extend = (fun _ _ _ -> assert false);
        pr_alias = (fun _ _ _ -> assert false);
      }
      in
      pr_atom env sigma pr strip_prod_binders_constr tag_atomic_tactic_expr t
    in
    prtac t

  let pr_raw_extend env sigma = pr_raw_extend_rec @@ pr_raw_tactic_level env sigma

  let pr_glob_extend env = pr_glob_extend_rec (pr_glob_tactic_level env)

  let pr_alias pr lev key args =
    pr_alias_gen (fun _ arg -> pr arg) lev key args

  let pr_extend pr lev ml args =
    pr_extend_gen pr lev ml args

  let pr_atomic_tactic env sigma c = pr_atomic_tactic_level env sigma c

let pp_ltac_call_kind = function
  | LtacNotationCall s -> pr_alias_key s
  | LtacNameCall cst -> pr_ltac_constant cst
  (* todo: don't want the KerName instead? *)
  | LtacVarCall (_, id, t) -> Names.Id.print id
  | LtacAtomCall te ->
    pr_glob_tactic (Global.env ())
      (CAst.make (TacAtom te))
  | LtacConstrInterp (env, sigma, c, _) ->
    pr_glob_constr_env env sigma c
  | LtacMLCall te ->
    (pr_glob_tactic (Global.env ())
       te)

let declare_extra_genarg_pprule wit
  (f : 'a raw_extra_genarg_printer)
  (g : 'b glob_extra_genarg_printer)
  (h : 'c extra_genarg_printer) =
  begin match wit with
    | ExtraArg _ -> ()
    | _          -> user_err Pp.(str "Can declare a pretty-printing rule only for extra argument types.")
  end;
  let f x =
    Genprint.PrinterBasic (fun env sigma ->
        f env sigma pr_constr_expr pr_lconstr_expr pr_raw_tactic_level x) in
  let g x =
    Genprint.PrinterBasic (fun env sigma ->
    g env sigma (fun env sigma -> pr_and_constr_expr (pr_glob_constr_env env sigma))
      (fun env sigma -> pr_and_constr_expr (pr_lglob_constr_env env sigma))
      (fun env sigma -> pr_glob_tactic_level env) x)
  in
  let h x =
    Genprint.TopPrinterNeedsContext (fun env sigma ->
        h env sigma pr_econstr_env pr_leconstr_env (fun _env _sigma _ _ -> str "") x)
  in
  Genprint.register_print0 wit f g h

let declare_extra_genarg_pprule_with_level wit
  (f : 'a raw_extra_genarg_printer_with_level)
  (g : 'b glob_extra_genarg_printer_with_level)
  (h : 'c extra_genarg_printer_with_level) default_surrounded default_non_surrounded =
  begin match wit with
    | ExtraArg s -> ()
    | _          -> user_err Pp.(str "Can declare a pretty-printing rule only for extra argument types.")
  end;
  let open Genprint in
  let f x =
    PrinterNeedsLevel {
        default_already_surrounded = default_surrounded;
        default_ensure_surrounded = default_non_surrounded;
        printer = (fun env sigma n ->
          f env sigma pr_constr_expr pr_lconstr_expr pr_raw_tactic_level n x) } in
  let g x =
    PrinterNeedsLevel {
        default_already_surrounded = default_surrounded;
        default_ensure_surrounded = default_non_surrounded;
        printer = (fun env sigma n ->
          g env sigma (fun env sigma -> pr_and_constr_expr (pr_glob_constr_env env sigma))
            (fun env sigma -> pr_and_constr_expr (pr_lglob_constr_env env sigma))
            (fun env sigma -> pr_glob_tactic_level env) n x) }
  in
  let h x =
    TopPrinterNeedsContextAndLevel {
        default_already_surrounded = default_surrounded;
        default_ensure_surrounded = default_non_surrounded;
        printer = (fun env sigma n ->
          h env sigma pr_econstr_env pr_leconstr_env (fun _env _sigma _ _ -> str "") n x) }
  in
  Genprint.register_print0 wit f g h

(** Registering *)

let pr_intro_pattern_env p = Genprint.TopPrinterNeedsContext (fun env sigma ->
  let print_constr c = let (sigma, c) = c env sigma in pr_econstr_env env sigma c in
  Miscprint.pr_intro_pattern print_constr p)

let pr_red_expr_env r = Genprint.TopPrinterNeedsContext (fun env sigma ->
  pr_red_expr env sigma ((fun e -> pr_econstr_env e), (fun e -> pr_leconstr_env e),
                         pr_evaluable_reference_env env, pr_constr_pattern_env,
                         int) r)

let pr_bindings_env bl = Genprint.TopPrinterNeedsContext (fun env sigma ->
  let sigma, bl = bl env sigma in
  Miscprint.pr_bindings
    (pr_econstr_env env sigma) (pr_leconstr_env env sigma) bl)

let pr_with_bindings_env bl = Genprint.TopPrinterNeedsContext (fun env sigma ->
  let sigma, bl = bl env sigma in
  pr_with_bindings
    (pr_econstr_env env sigma) (pr_leconstr_env env sigma) bl)

let pr_destruction_arg_env c = Genprint.TopPrinterNeedsContext (fun env sigma ->
  let sigma, c = match c with
  | clear_flag,ElimOnConstr g -> let sigma,c = g env sigma in sigma,(clear_flag,ElimOnConstr c)
  | clear_flag,ElimOnAnonHyp n as x -> sigma, x
  | clear_flag,ElimOnIdent id as x -> sigma, x in
  pr_destruction_arg
    (pr_econstr_env env sigma) (pr_leconstr_env env sigma) c)

let make_constr_printer f c =
  Genprint.TopPrinterNeedsContextAndLevel {
      Genprint.default_already_surrounded = Ppconstr.ltop;
      Genprint.default_ensure_surrounded = Ppconstr.lsimpleconstr;
      Genprint.printer = (fun env sigma n -> f env sigma n c)}

let lift f a = Genprint.PrinterBasic (fun env sigma -> f a)
let lift_env f a = Genprint.PrinterBasic (fun env sigma -> f env sigma a)
let lift_top f a = Genprint.TopPrinterBasic (fun () -> f a)

let register_basic_print0 wit f g h =
  Genprint.register_print0 wit (lift f) (lift g) (lift_top h)

let pr_glob_constr_pptac env sigma c =
  pr_glob_constr_env env sigma c

let pr_lglob_constr_pptac env sigma c =
  pr_lglob_constr_env env sigma c

let pr_raw_intro_pattern =
  lift_env (fun env sigma -> Miscprint.pr_intro_pattern @@ pr_constr_expr env sigma)

let pr_glob_intro_pattern =
  lift_env (fun env sigma -> Miscprint.pr_intro_pattern (fun (c,_) -> pr_glob_constr_pptac env sigma c))

let () =
  let pr_bool b = if b then str "true" else str "false" in
  let pr_unit _ = str "()" in
  let open Genprint in
  register_basic_print0 wit_int_or_var (pr_or_var int) (pr_or_var int) int;
  register_basic_print0 wit_nat_or_var (pr_or_var int) (pr_or_var int) int;
  register_basic_print0 wit_ref
    pr_qualid (pr_or_var (pr_located pr_global)) pr_global;
  register_basic_print0 wit_smart_global
    (pr_or_by_notation pr_qualid) (pr_or_var (pr_located pr_global)) pr_global;
  register_basic_print0 wit_ident pr_id pr_id pr_id;
  register_basic_print0 wit_hyp pr_lident pr_lident pr_id;
  register_print0 wit_intropattern pr_raw_intro_pattern pr_glob_intro_pattern pr_intro_pattern_env [@warning "-3"];
  register_print0 wit_simple_intropattern pr_raw_intro_pattern pr_glob_intro_pattern pr_intro_pattern_env;
  Genprint.register_print0
    wit_clause_dft_concl
    (lift (pr_clauses (Some true) pr_lident))
    (lift (pr_clauses (Some true) pr_lident))
    (fun c -> Genprint.TopPrinterBasic (fun () -> pr_clauses (Some true) (fun id -> pr_lident (CAst.make id)) c))
  ;
  Genprint.register_print0
    wit_constr
    (lift_env Ppconstr.pr_constr_expr)
    (lift_env (fun env sigma (c, _) -> pr_glob_constr_pptac env sigma c))
    (make_constr_printer Printer.pr_econstr_n_env)
  ;
  Genprint.register_print0
    wit_uconstr
    (lift_env Ppconstr.pr_constr_expr)
    (lift_env (fun env sigma (c,_) -> pr_glob_constr_pptac env sigma c))
    (make_constr_printer Printer.pr_closed_glob_n_env)
  ;
  Genprint.register_print0
    wit_open_constr
    (lift_env Ppconstr.pr_constr_expr)
    (lift_env (fun env sigma (c, _) -> pr_glob_constr_pptac env sigma c))
    (make_constr_printer Printer.pr_econstr_n_env)
  ;
  Genprint.register_print0
    Redexpr.wit_red_expr
    (lift_env (fun env sigma -> pr_red_expr env sigma (pr_constr_expr, pr_lconstr_expr, pr_or_by_notation pr_qualid, pr_constr_pattern_expr,pr_or_var int)))
    (lift_env (fun env sigma -> pr_red_expr env sigma
                  ((fun env sigma -> pr_and_constr_expr @@ pr_glob_constr_pptac env sigma),
                   (fun env sigma -> pr_and_constr_expr @@ pr_lglob_constr_pptac env sigma),
                   pr_or_var (pr_and_short_name pr_evaluable_reference),
                   (fun env sigma -> pr_and_constr_expr @@ pr_glob_constr_pptac env sigma),
                   (pr_or_var int))))
    pr_red_expr_env
  ;
  register_basic_print0 wit_quant_hyp pr_quantified_hypothesis pr_quantified_hypothesis pr_quantified_hypothesis;
  register_print0 wit_bindings
    (lift_env (fun env sigma -> Miscprint.pr_bindings_no_with (pr_constr_expr env sigma)
                  (pr_lconstr_expr env sigma)))
    (lift_env (fun env sigma -> Miscprint.pr_bindings_no_with (pr_and_constr_expr @@ pr_glob_constr_pptac env sigma) (pr_and_constr_expr @@ pr_lglob_constr_pptac env sigma)))
    pr_bindings_env
  ;
  register_print0 wit_constr_with_bindings
    (lift_env (fun env sigma -> pr_with_bindings (pr_constr_expr env sigma) (pr_lconstr_expr env sigma)))
    (lift_env (fun env sigma -> pr_with_bindings (pr_and_constr_expr @@ pr_glob_constr_pptac env sigma)
              (pr_and_constr_expr @@ pr_lglob_constr_pptac env sigma)))
    pr_with_bindings_env
  ;
  register_print0 wit_open_constr_with_bindings
    (lift_env (fun env sigma -> pr_with_bindings (pr_constr_expr env sigma) (pr_lconstr_expr env sigma)))
    (lift_env (fun env sigma -> pr_with_bindings (pr_and_constr_expr @@ pr_glob_constr_pptac env sigma)
                  (pr_and_constr_expr @@ pr_lglob_constr_pptac env sigma)))
    pr_with_bindings_env
  ;
  register_print0 Tacarg.wit_destruction_arg
    (lift_env (fun env sigma -> pr_destruction_arg (pr_constr_expr env sigma) (pr_lconstr_expr env sigma)))
    (lift_env (fun env sigma -> pr_destruction_arg (pr_and_constr_expr @@ pr_glob_constr_pptac env sigma)
                  (pr_and_constr_expr @@ pr_lglob_constr_pptac env sigma)))
    pr_destruction_arg_env
  ;
  register_basic_print0 Stdarg.wit_int int int int;
  register_basic_print0 Stdarg.wit_bool pr_bool pr_bool pr_bool;
  register_basic_print0 Stdarg.wit_unit pr_unit pr_unit pr_unit;
  register_basic_print0 Stdarg.wit_pre_ident str str str;
  register_basic_print0 Stdarg.wit_string qstring qstring qstring

let () =
  let printer env sigma _ _ prtac = prtac env sigma in
  declare_extra_genarg_pprule_with_level wit_tactic printer printer printer
  ltop (LevelLe 0)

let () =
  declare_extra_genarg_pprule_with_level wit_ltac_in_term
    (fun env sigma _ _ prtac l tac -> prtac env sigma l tac)
    (fun env sigma _ _ prtac l (used_ntnvars,tac) ->
       let ppids =
         let ids = Id.Set.elements used_ntnvars in
         if List.is_empty ids then mt()
         else hov 0 (pr_sequence Id.print ids ++ str " |-") ++ spc()
       in
       hov 2 (ppids ++ prtac env sigma l tac))
    (fun env sigma _ _ _ _ tac -> Util.Empty.abort tac)
  ltop (LevelLe 0)

let () =
  let pr_unit _env _sigma _ _ _ _ () = str "()" in
  let printer env sigma _ _ prtac = prtac env sigma in
  declare_extra_genarg_pprule_with_level wit_ltac printer printer pr_unit
  ltop (LevelLe 0)

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Cephes Mathematical Library

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