(* *)(* Copyright (C) 2005, HELM Team.
 * 
 * This file is part of HELM, an Hypertextual, Electronic
 * Library of Mathematics, developed at the Computer Science
 * Department, University of Bologna, Italy.
 * 
 * HELM is free software; you can redistribute it and/or
 * modify it under the terms of the GNU General Public License
 * as published by the Free Software Foundation; either version 2
 * of the License, or (at your option) any later version.
 * 
 * HELM is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with HELM; if not, write to the Free Software
 * Foundation, Inc., 59 Temple Place - Suite 330, Boston,
 * MA  02111-1307, USA.
 * 
 * For details, see the HELM World-Wide-Web page,
 * http://helm.cs.unibo.it/
 *)

oopen Printf
mmodule Ast = CicNotationPtmmodule Env = CicNotationEnv
eexception Parse_error of Token.flocation * stringeexception Level_not_found of int
llet level1_pattern_grammar =
  Grammar.gcreate CicNotationLexer.level1_pattern_lexerllet level2_ast_grammar = Grammar.gcreate CicNotationLexer.level2_ast_lexerllet level2_meta_grammar = Grammar.gcreate CicNotationLexer.level2_meta_lexer
llet min_precedence = 0llet max_precedence = 100
llet level1_pattern =
  Grammar.Entry.create level1_pattern_grammar "level1_pattern"llet level2_ast = Grammar.Entry.create level2_ast_grammar "level2_ast"llet term = Grammar.Entry.create level2_ast_grammar "term"llet let_defs = Grammar.Entry.create level2_ast_grammar "let_defs"llet level2_meta = Grammar.Entry.create level2_meta_grammar "level2_meta"
llet return_term loc term = ()
llet int_of_string s =
  try Pervasives.int_of_string s with
    Failure _ ->
      failwith (sprintf "Lexer failure: string_of_int \"%s\" failed" s)
(** {2 Grammar extension} *)

llet gram_symbol s = Gramext.Stoken ("SYMBOL", s)llet gram_ident s = Gramext.Stoken ("IDENT", s)llet gram_number s = Gramext.Stoken ("NUMBER", s)llet gram_keyword s = Gramext.Stoken ("", s)llet gram_term = Gramext.Sself
llet gram_of_literal =
  function
    `Symbol s -> gram_symbol s
  | `Keyword s -> gram_keyword s
  | `Number s -> gram_number s
ttype binding =
    NoBinding
  | Binding of string * Env.value_type
  | Env of (string * Env.value_type) list
llet make_action action bindings =
  let rec aux (vl : CicNotationEnv.t) =
    function
      [] -> Gramext.action (fun (loc : Ast.location) -> action vl loc)
    | NoBinding :: tl -> Gramext.action (fun _ -> aux vl tl)
    | Binding (name, Env.TermType) :: tl ->
        Gramext.action
          (fun (v : Ast.term) ->
             aux ((name, (Env.TermType, Env.TermValue v)) :: vl) tl)
    | Binding (name, Env.StringType) :: tl ->
        Gramext.action
          (fun (v : string) ->
             aux ((name, (Env.StringType, Env.StringValue v)) :: vl) tl)
    | Binding (name, Env.NumType) :: tl ->
        Gramext.action
          (fun (v : string) ->
             aux ((name, (Env.NumType, Env.NumValue v)) :: vl) tl)
    | Binding (name, Env.OptType t) :: tl ->
        Gramext.action
          (fun (v : 'a option) ->
             aux ((name, (Env.OptType t, Env.OptValue v)) :: vl) tl)
    | Binding (name, Env.ListType t) :: tl ->
        Gramext.action
          (fun (v : 'a list) ->
             aux ((name, (Env.ListType t, Env.ListValue v)) :: vl) tl)
    | Env _ :: tl ->
        Gramext.action (fun (v : CicNotationEnv.t) -> aux (v @ vl) tl)
  in
  aux [] (List.rev bindings)
llet flatten_opt =
  let rec aux acc =
    function
      [] -> List.rev acc
    | NoBinding :: tl -> aux acc tl
    | Env names :: tl -> aux (List.rev names @ acc) tl
    | Binding (name, ty) :: tl -> aux ((name, ty) :: acc) tl
  in
  aux []
  (* given a level 1 pattern computes the new RHS of "term" grammar entry *)
llet extract_term_production pattern =
  let rec aux =
    function
      Ast.AttributedTerm (_, t) -> aux t
    | Ast.Literal l -> aux_literal l
    | Ast.Layout l -> aux_layout l
    | Ast.Magic m -> aux_magic m
    | Ast.Variable v -> aux_variable v
    | t -> prerr_endline (CicNotationPp.pp_term t); assert false
  and aux_literal =
    function
      `Symbol s -> [NoBinding, gram_symbol s]
    | `Keyword s -> [NoBinding, gram_keyword s]
    | `Number s -> [NoBinding, gram_number s]
  and aux_layout =
    function
      Ast.Sub (p1, p2) -> aux p1 @ [NoBinding, gram_symbol "\\sub"] @ aux p2
    | Ast.Sup (p1, p2) -> aux p1 @ [NoBinding, gram_symbol "\\sup"] @ aux p2
    | Ast.Below (p1, p2) ->
        aux p1 @ [NoBinding, gram_symbol "\\below"] @ aux p2
    | Ast.Above (p1, p2) ->
        aux p1 @ [NoBinding, gram_symbol "\\above"] @ aux p2
    | Ast.Frac (p1, p2) -> aux p1 @ [NoBinding, gram_symbol "\\frac"] @ aux p2
    | Ast.Atop (p1, p2) -> aux p1 @ [NoBinding, gram_symbol "\\atop"] @ aux p2
    | Ast.Over (p1, p2) -> aux p1 @ [NoBinding, gram_symbol "\\over"] @ aux p2
    | Ast.Root (p1, p2) ->
        [NoBinding, gram_symbol "\\root"] @ aux p2 @
          [NoBinding, gram_symbol "\\of"] @ aux p1
    | Ast.Sqrt p -> [NoBinding, gram_symbol "\\sqrt"] @ aux p
    | Ast.Break -> []
    | Ast.Box (_, pl) -> List.flatten (List.map aux pl)
    | Ast.Group pl -> List.flatten (List.map aux pl)
  and aux_magic magic =
    match magic with
      Ast.Opt p ->
        let (p_bindings, p_atoms, p_names, p_action) = inner_pattern p in
        let action (env_opt : CicNotationEnv.t option) (loc : Ast.location) =
          match env_opt with
            Some env -> List.map Env.opt_binding_some env
          | None -> List.map Env.opt_binding_of_name p_names
        in
        [Env (List.map Env.opt_declaration p_names),
         Gramext.srules
           [[Gramext.Sopt (Gramext.srules [p_atoms, p_action])],
            Gramext.action action]]
    | Ast.List0 (p, _) | Ast.List1 (p, _) ->
        let (p_bindings, p_atoms, p_names, p_action) = inner_pattern p in
        let action (env_list : CicNotationEnv.t list) (loc : Ast.location) =
          CicNotationEnv.coalesce_env p_names env_list
        in
        let gram_of_list s =
          match magic with
            Ast.List0 (_, None) -> Gramext.Slist0 s
          | Ast.List1 (_, None) -> Gramext.Slist1 s
          | Ast.List0 (_, Some l) -> Gramext.Slist0sep (s, gram_of_literal l)
          | Ast.List1 (_, Some l) -> Gramext.Slist1sep (s, gram_of_literal l)
          | _ -> assert false
        in
        [Env (List.map Env.list_declaration p_names),
         Gramext.srules
           [[gram_of_list (Gramext.srules [p_atoms, p_action])],
            Gramext.action action]]
    | _ -> assert false
  and aux_variable =
    function
      Ast.NumVar s -> [Binding (s, Env.NumType), gram_number ""]
    | Ast.TermVar s -> [Binding (s, Env.TermType), gram_term]
    | Ast.IdentVar s -> [Binding (s, Env.StringType), gram_ident ""]
    | Ast.Ascription (p, s) -> assert false
    | Ast.FreshVar _ -> assert false
  and inner_pattern p =
    let (p_bindings, p_atoms) = List.split (aux p) in
    let p_names = flatten_opt p_bindings in
    let action =
      make_action (fun (env : CicNotationEnv.t) (loc : Ast.location) -> env)
        p_bindings
    in
    p_bindings, p_atoms, p_names, action
  in
  aux pattern

let level_of precedence associativity =
  if precedence < min_precedence || precedence > max_precedence then
    raise (Level_not_found precedence);
  let assoc_string =
    match associativity with
      Gramext.NonA -> "N"
    | Gramext.LeftA -> "L"
    | Gramext.RightA -> "R"
  in
  string_of_int precedence ^ assoc_string

type rule_id = Token.t Gramext.g_symbol list

  (* mapping: rule_id -> owned keywords. (rule_id, string list) Hashtbl.t *)
let owned_keywords = Hashtbl.create 23

let extend level1_pattern ~precedence ~associativity action =
  let (p_bindings, p_atoms) =
    List.split (extract_term_production level1_pattern)
  in
  let level = level_of precedence associativity in
  let p_names = flatten_opt p_bindings in
  let _ =
    Grammar.extend
      [Grammar.Entry.obj (term : 'a Grammar.Entry.e),
       Some (Gramext.Level level),
       [None, Some associativity,
        [p_atoms,
         make_action
           (fun (env : CicNotationEnv.t) (loc : Ast.location) ->
              action env loc)
           p_bindings]]]
  in
  let keywords = CicNotationUtil.keywords_of_term level1_pattern in
  let rule_id = p_atoms in
  List.iter CicNotationLexer.add_level2_ast_keyword keywords;
  Hashtbl.add owned_keywords rule_id keywords;
  rule_id

let delete rule_id =
  let atoms = rule_id in
  begin try
    let keywords = Hashtbl.find owned_keywords rule_id in
    List.iter CicNotationLexer.remove_level2_ast_keyword keywords
  with
    Not_found -> assert false
  end;
  Grammar.delete_rule term atoms

(** {2 Grammar} *)

let parse_level1_pattern_ref = ref (fun _ -> assert false)
let parse_level2_ast_ref = ref (fun _ -> assert false)
let parse_level2_meta_ref = ref (fun _ -> assert false)

let fold_cluster binder terms ty body =
  List.fold_right (fun term body -> Ast.Binder (binder, (term, ty), body))
    terms body  (* terms are names: either Ident or FreshVar *)

let fold_exists terms ty body =
  List.fold_right
    (fun term body ->
       let lambda = Ast.Binder (`Lambda, (term, ty), body) in
       Ast.Appl [Ast.Symbol ("exists", 0); lambda])
    terms body

let fold_binder binder pt_names body =
  List.fold_right (fun (names, ty) body -> fold_cluster binder names ty body)
    pt_names body

let return_term loc term = Ast.AttributedTerm (`Loc loc, term)

  (* create empty precedence level for "term" *)
let _ =
  let dummy_action =
    Gramext.action
      (fun _ -> failwith "internal error, lexer generated a dummy token")
  in
  let dummy_prod = [[Gramext.Stoken ("DUMMY", "")], dummy_action] in
  let mk_level_list first last =
    let rec aux acc =
      function
        i when i < first -> acc
      | i ->
          aux
            ((Some (string_of_int i ^ "N"), Some Gramext.NonA, dummy_prod) ::
               (Some (string_of_int i ^ "L"), Some Gramext.LeftA,
                dummy_prod) ::
               (Some (string_of_int i ^ "R"), Some Gramext.RightA,
                dummy_prod) ::
               acc)
            (i - 1)
    in
    aux [] last
  in
  Grammar.extend
    [Grammar.Entry.obj (term : 'a Grammar.Entry.e), None,
     mk_level_list min_precedence max_precedence]

(* {{{ Grammar for concrete syntax patterns, notation level 1 *)
let _ =
  Grammar.extend
    (let _ = (level1_pattern : 'level1_pattern Grammar.Entry.e) in
     let grammar_entry_create s =
       Grammar.Entry.create (Grammar.of_entry level1_pattern) s
     in
     let l1_pattern : 'l1_pattern Grammar.Entry.e =
       grammar_entry_create "l1_pattern"
     and literal : 'literal Grammar.Entry.e = grammar_entry_create "literal"
     and sep : 'sep Grammar.Entry.e = grammar_entry_create "sep"
     and l1_magic_pattern : 'l1_magic_pattern Grammar.Entry.e =
       grammar_entry_create "l1_magic_pattern"
     and l1_pattern_variable : 'l1_pattern_variable Grammar.Entry.e =
       grammar_entry_create "l1_pattern_variable"
     and l1_simple_pattern : 'l1_simple_pattern Grammar.Entry.e =
       grammar_entry_create "l1_simple_pattern"
     in
     [Grammar.Entry.obj (level1_pattern : 'level1_pattern Grammar.Entry.e),
      None,
      [None, None,
       [[Gramext.Snterm
           (Grammar.Entry.obj (l1_pattern : 'l1_pattern Grammar.Entry.e));
         Gramext.Stoken ("EOI", "")],
        Gramext.action
          (fun _ (p : 'l1_pattern)
             (loc : Lexing.position * Lexing.position) ->
             (CicNotationUtil.boxify p : 'level1_pattern))]];
      Grammar.Entry.obj (l1_pattern : 'l1_pattern Grammar.Entry.e), None,
      [None, None,
       [[Gramext.Slist1
           (Gramext.Snterm
              (Grammar.Entry.obj
                 (l1_simple_pattern : 'l1_simple_pattern Grammar.Entry.e)))],
        Gramext.action
          (fun (p : 'l1_simple_pattern list)
             (loc : Lexing.position * Lexing.position) ->
             (p : 'l1_pattern))]];
      Grammar.Entry.obj (literal : 'literal Grammar.Entry.e), None,
      [None, None,
       [[Gramext.Stoken ("NUMBER", "")],
        Gramext.action
          (fun (n : string) (loc : Lexing.position * Lexing.position) ->
             (`Number n : 'literal));
        [Gramext.Stoken ("QKEYWORD", "")],
        Gramext.action
          (fun (k : string) (loc : Lexing.position * Lexing.position) ->
             (`Keyword k : 'literal));
        [Gramext.Stoken ("SYMBOL", "")],
        Gramext.action
          (fun (s : string) (loc : Lexing.position * Lexing.position) ->
             (`Symbol s : 'literal))]];
      Grammar.Entry.obj (sep : 'sep Grammar.Entry.e), None,
      [None, None,
       [[Gramext.Stoken ("", "sep");
         Gramext.Snterm
           (Grammar.Entry.obj (literal : 'literal Grammar.Entry.e))],
        Gramext.action
          (fun (sep : 'literal) _ (loc : Lexing.position * Lexing.position) ->
             (sep : 'sep))]];
      Grammar.Entry.obj
        (l1_magic_pattern : 'l1_magic_pattern Grammar.Entry.e),
      None,
      [None, None,
       [[Gramext.Stoken ("", "opt");
         Gramext.Snterm
           (Grammar.Entry.obj
              (l1_simple_pattern : 'l1_simple_pattern Grammar.Entry.e))],
        Gramext.action
          (fun (p : 'l1_simple_pattern) _
             (loc : Lexing.position * Lexing.position) ->
             (Ast.Opt p : 'l1_magic_pattern));
        [Gramext.Stoken ("", "list1");
         Gramext.Snterm
           (Grammar.Entry.obj
              (l1_simple_pattern : 'l1_simple_pattern Grammar.Entry.e));
         Gramext.Sopt
           (Gramext.Snterm (Grammar.Entry.obj (sep : 'sep Grammar.Entry.e)))],
        Gramext.action
          (fun (sep : 'sep option) (p : 'l1_simple_pattern) _
             (loc : Lexing.position * Lexing.position) ->
             (Ast.List1 (p, sep) : 'l1_magic_pattern));
        [Gramext.Stoken ("", "list0");
         Gramext.Snterm
           (Grammar.Entry.obj
              (l1_simple_pattern : 'l1_simple_pattern Grammar.Entry.e));
         Gramext.Sopt
           (Gramext.Snterm (Grammar.Entry.obj (sep : 'sep Grammar.Entry.e)))],
        Gramext.action
          (fun (sep : 'sep option) (p : 'l1_simple_pattern) _
             (loc : Lexing.position * Lexing.position) ->
             (Ast.List0 (p, sep) : 'l1_magic_pattern))]];
      Grammar.Entry.obj
        (l1_pattern_variable : 'l1_pattern_variable Grammar.Entry.e),
      None,
      [None, None,
       [[Gramext.Stoken ("", "ident"); Gramext.Stoken ("IDENT", "")],
        Gramext.action
          (fun (id : string) _ (loc : Lexing.position * Lexing.position) ->
             (Ast.IdentVar id : 'l1_pattern_variable));
        [Gramext.Stoken ("", "number"); Gramext.Stoken ("IDENT", "")],
        Gramext.action
          (fun (id : string) _ (loc : Lexing.position * Lexing.position) ->
             (Ast.NumVar id : 'l1_pattern_variable));
        [Gramext.Stoken ("", "term"); Gramext.Stoken ("IDENT", "")],
        Gramext.action
          (fun (id : string) _ (loc : Lexing.position * Lexing.position) ->
             (Ast.TermVar id : 'l1_pattern_variable))]];
      Grammar.Entry.obj
        (l1_simple_pattern : 'l1_simple_pattern Grammar.Entry.e),
      None,
      [Some "layout", Some Gramext.LeftA,
       [[Gramext.Stoken ("LPAREN", "");
         Gramext.Snterm
           (Grammar.Entry.obj (l1_pattern : 'l1_pattern Grammar.Entry.e));
         Gramext.Stoken ("RPAREN", "")],
        Gramext.action
          (fun _ (p : 'l1_pattern) _
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc (CicNotationUtil.group p) :
              'l1_simple_pattern));
        [Gramext.Stoken ("", "break")],
        Gramext.action
          (fun _ (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Layout Ast.Break) : 'l1_simple_pattern));
        [Gramext.Stoken ("", "hovbox"); Gramext.Stoken ("LPAREN", "");
         Gramext.Snterm
           (Grammar.Entry.obj (l1_pattern : 'l1_pattern Grammar.Entry.e));
         Gramext.Stoken ("RPAREN", "")],
        Gramext.action
          (fun _ (p : 'l1_pattern) _ _
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc
                (Ast.Layout (Ast.Box ((Ast.HOV, false, false), p))) :
              'l1_simple_pattern));
        [Gramext.Stoken ("", "hvbox"); Gramext.Stoken ("LPAREN", "");
         Gramext.Snterm
           (Grammar.Entry.obj (l1_pattern : 'l1_pattern Grammar.Entry.e));
         Gramext.Stoken ("RPAREN", "")],
        Gramext.action
          (fun _ (p : 'l1_pattern) _ _
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc
                (Ast.Layout (Ast.Box ((Ast.HV, false, false), p))) :
              'l1_simple_pattern));
        [Gramext.Stoken ("", "vbox"); Gramext.Stoken ("LPAREN", "");
         Gramext.Snterm
           (Grammar.Entry.obj (l1_pattern : 'l1_pattern Grammar.Entry.e));
         Gramext.Stoken ("RPAREN", "")],
        Gramext.action
          (fun _ (p : 'l1_pattern) _ _
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc
                (Ast.Layout (Ast.Box ((Ast.V, false, false), p))) :
              'l1_simple_pattern));
        [Gramext.Stoken ("", "hbox"); Gramext.Stoken ("LPAREN", "");
         Gramext.Snterm
           (Grammar.Entry.obj (l1_pattern : 'l1_pattern Grammar.Entry.e));
         Gramext.Stoken ("RPAREN", "")],
        Gramext.action
          (fun _ (p : 'l1_pattern) _ _
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc
                (Ast.Layout (Ast.Box ((Ast.H, false, false), p))) :
              'l1_simple_pattern));
        [Gramext.Stoken ("SYMBOL", "\\root"); Gramext.Sself;
         Gramext.Stoken ("SYMBOL", "\\of"); Gramext.Sself],
        Gramext.action
          (fun (arg : 'l1_simple_pattern) _ (index : 'l1_simple_pattern) _
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Layout (Ast.Root (arg, index))) :
              'l1_simple_pattern));
        [Gramext.Stoken ("SYMBOL", "\\sqrt"); Gramext.Sself],
        Gramext.action
          (fun (p : 'l1_simple_pattern) _
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Layout (Ast.Sqrt p)) :
              'l1_simple_pattern));
        [Gramext.Stoken ("SYMBOL", "\\frac"); Gramext.Sself; Gramext.Sself],
        Gramext.action
          (fun (p2 : 'l1_simple_pattern) (p1 : 'l1_simple_pattern) _
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Layout (Ast.Frac (p1, p2))) :
              'l1_simple_pattern));
        [Gramext.Sself; Gramext.Stoken ("SYMBOL", "\\atop"); Gramext.Sself],
        Gramext.action
          (fun (p2 : 'l1_simple_pattern) _ (p1 : 'l1_simple_pattern)
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Layout (Ast.Atop (p1, p2))) :
              'l1_simple_pattern));
        [Gramext.Sself; Gramext.Stoken ("SYMBOL", "\\over"); Gramext.Sself],
        Gramext.action
          (fun (p2 : 'l1_simple_pattern) _ (p1 : 'l1_simple_pattern)
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Layout (Ast.Over (p1, p2))) :
              'l1_simple_pattern));
        [Gramext.Sself; Gramext.Stoken ("SYMBOL", "\\above"); Gramext.Sself],
        Gramext.action
          (fun (p2 : 'l1_simple_pattern) _ (p1 : 'l1_simple_pattern)
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Layout (Ast.Above (p1, p2))) :
              'l1_simple_pattern));
        [Gramext.Sself; Gramext.Stoken ("SYMBOL", "\\below"); Gramext.Sself],
        Gramext.action
          (fun (p2 : 'l1_simple_pattern) _ (p1 : 'l1_simple_pattern)
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Layout (Ast.Below (p1, p2))) :
              'l1_simple_pattern));
        [Gramext.Sself; Gramext.Stoken ("SYMBOL", "\\sup"); Gramext.Sself],
        Gramext.action
          (fun (p2 : 'l1_simple_pattern) _ (p1 : 'l1_simple_pattern)
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Layout (Ast.Sup (p1, p2))) :
              'l1_simple_pattern));
        [Gramext.Sself; Gramext.Stoken ("SYMBOL", "\\sub"); Gramext.Sself],
        Gramext.action
          (fun (p2 : 'l1_simple_pattern) _ (p1 : 'l1_simple_pattern)
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Layout (Ast.Sub (p1, p2))) :
              'l1_simple_pattern))];
       Some "simple", Some Gramext.NonA,
       [[Gramext.Snterm
           (Grammar.Entry.obj (literal : 'literal Grammar.Entry.e))],
        Gramext.action
          (fun (l : 'literal) (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Literal l) : 'l1_simple_pattern));
        [Gramext.Snterm
           (Grammar.Entry.obj
              (l1_pattern_variable : 'l1_pattern_variable Grammar.Entry.e))],
        Gramext.action
          (fun (v : 'l1_pattern_variable)
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Variable v) : 'l1_simple_pattern));
        [Gramext.Snterm
           (Grammar.Entry.obj
              (l1_magic_pattern : 'l1_magic_pattern Grammar.Entry.e))],
        Gramext.action
          (fun (m : 'l1_magic_pattern)
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Magic m) : 'l1_simple_pattern));
        [Gramext.Stoken ("IDENT", "")],
        Gramext.action
          (fun (i : string) (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Variable (Ast.TermVar i)) :
              'l1_simple_pattern))]]])
(* }}} *)

(* {{{ Grammar for ast magics, notation level 2 *)
let _ =
  Grammar.extend
    (let _ = (level2_meta : 'level2_meta Grammar.Entry.e) in
     let grammar_entry_create s =
       Grammar.Entry.create (Grammar.of_entry level2_meta) s
     in
     let l2_variable : 'l2_variable Grammar.Entry.e =
       grammar_entry_create "l2_variable"
     and l2_magic : 'l2_magic Grammar.Entry.e =
       grammar_entry_create "l2_magic"
     in
     [Grammar.Entry.obj (l2_variable : 'l2_variable Grammar.Entry.e), None,
      [None, None,
       [[Gramext.Stoken ("IDENT", "")],
        Gramext.action
          (fun (id : string) (loc : Lexing.position * Lexing.position) ->
             (Ast.TermVar id : 'l2_variable));
        [Gramext.Stoken ("", "anonymous")],
        Gramext.action
          (fun _ (loc : Lexing.position * Lexing.position) ->
             (Ast.TermVar "_" : 'l2_variable));
        [Gramext.Stoken ("", "fresh"); Gramext.Stoken ("IDENT", "")],
        Gramext.action
          (fun (id : string) _ (loc : Lexing.position * Lexing.position) ->
             (Ast.FreshVar id : 'l2_variable));
        [Gramext.Stoken ("", "ident"); Gramext.Stoken ("IDENT", "")],
        Gramext.action
          (fun (id : string) _ (loc : Lexing.position * Lexing.position) ->
             (Ast.IdentVar id : 'l2_variable));
        [Gramext.Stoken ("", "number"); Gramext.Stoken ("IDENT", "")],
        Gramext.action
          (fun (id : string) _ (loc : Lexing.position * Lexing.position) ->
             (Ast.NumVar id : 'l2_variable));
        [Gramext.Stoken ("", "term"); Gramext.Stoken ("IDENT", "")],
        Gramext.action
          (fun (id : string) _ (loc : Lexing.position * Lexing.position) ->
             (Ast.TermVar id : 'l2_variable))]];
      Grammar.Entry.obj (l2_magic : 'l2_magic Grammar.Entry.e), None,
      [None, None,
       [[Gramext.Stoken ("", "fail")],
        Gramext.action
          (fun _ (loc : Lexing.position * Lexing.position) ->
             (Ast.Fail : 'l2_magic));
        [Gramext.Stoken ("", "if");
         Gramext.Snterm
           (Grammar.Entry.obj (level2_meta : 'level2_meta Grammar.Entry.e));
         Gramext.Stoken ("", "then");
         Gramext.Snterm
           (Grammar.Entry.obj (level2_meta : 'level2_meta Grammar.Entry.e));
         Gramext.Stoken ("", "else");
         Gramext.Snterm
           (Grammar.Entry.obj (level2_meta : 'level2_meta Grammar.Entry.e))],
        Gramext.action
          (fun (p_false : 'level2_meta) _ (p_true : 'level2_meta) _
             (p_test : 'level2_meta) _
             (loc : Lexing.position * Lexing.position) ->
             (Ast.If (p_test, p_true, p_false) : 'l2_magic));
        [Gramext.Stoken ("", "default");
         Gramext.Snterm
           (Grammar.Entry.obj (level2_meta : 'level2_meta Grammar.Entry.e));
         Gramext.Snterm
           (Grammar.Entry.obj (level2_meta : 'level2_meta Grammar.Entry.e))],
        Gramext.action
          (fun (none : 'level2_meta) (some : 'level2_meta) _
             (loc : Lexing.position * Lexing.position) ->
             (Ast.Default (some, none) : 'l2_magic));
        [Gramext.Stoken ("", "fold");
         Gramext.srules
           [[Gramext.Stoken ("", "right")],
            Gramext.action
              (fun _ (loc : Lexing.position * Lexing.position) ->
                 (`Right : 'e__1));
            [Gramext.Stoken ("", "left")],
            Gramext.action
              (fun _ (loc : Lexing.position * Lexing.position) ->
                 (`Left : 'e__1))];
         Gramext.Snterm
           (Grammar.Entry.obj (level2_meta : 'level2_meta Grammar.Entry.e));
         Gramext.Stoken ("", "rec"); Gramext.Stoken ("IDENT", "");
         Gramext.Snterm
           (Grammar.Entry.obj (level2_meta : 'level2_meta Grammar.Entry.e))],
        Gramext.action
          (fun (recursive : 'level2_meta) (id : string) _
             (base : 'level2_meta) (kind : 'e__1) _
             (loc : Lexing.position * Lexing.position) ->
             (Ast.Fold (kind, base, [id], recursive) : 'l2_magic))]];
      Grammar.Entry.obj (level2_meta : 'level2_meta Grammar.Entry.e), None,
      [None, None,
       [[Gramext.Stoken ("UNPARSED_AST", "")],
        Gramext.action
          (fun (blob : string) (loc : Lexing.position * Lexing.position) ->
             (!parse_level2_ast_ref (Ulexing.from_utf8_string blob) :
              'level2_meta));
        [Gramext.Snterm
           (Grammar.Entry.obj (l2_variable : 'l2_variable Grammar.Entry.e))],
        Gramext.action
          (fun (var : 'l2_variable)
             (loc : Lexing.position * Lexing.position) ->
             (Ast.Variable var : 'level2_meta));
        [Gramext.Snterm
           (Grammar.Entry.obj (l2_magic : 'l2_magic Grammar.Entry.e))],
        Gramext.action
          (fun (magic : 'l2_magic)
             (loc : Lexing.position * Lexing.position) ->
             (Ast.Magic magic : 'level2_meta))]]])
(* }}} *)

(* {{{ Grammar for ast patterns, notation level 2 *)
let _ =
  Grammar.extend
    (let _ = (level2_ast : 'level2_ast Grammar.Entry.e)
     and _ = (term : 'term Grammar.Entry.e)
     and _ = (let_defs : 'let_defs Grammar.Entry.e) in
     let grammar_entry_create s =
       Grammar.Entry.create (Grammar.of_entry level2_ast) s
     in
     let sort : 'sort Grammar.Entry.e = grammar_entry_create "sort"
     and explicit_subst : 'explicit_subst Grammar.Entry.e =
       grammar_entry_create "explicit_subst"
     and meta_subst : 'meta_subst Grammar.Entry.e =
       grammar_entry_create "meta_subst"
     and meta_substs : 'meta_substs Grammar.Entry.e =
       grammar_entry_create "meta_substs"
     and possibly_typed_name : 'possibly_typed_name Grammar.Entry.e =
       grammar_entry_create "possibly_typed_name"
     and match_pattern : 'match_pattern Grammar.Entry.e =
       grammar_entry_create "match_pattern"
     and binder : 'binder Grammar.Entry.e = grammar_entry_create "binder"
     and arg : 'arg Grammar.Entry.e = grammar_entry_create "arg"
     and single_arg : 'single_arg Grammar.Entry.e =
       grammar_entry_create "single_arg"
     and induction_kind : 'induction_kind Grammar.Entry.e =
       grammar_entry_create "induction_kind"
     and binder_vars : 'binder_vars Grammar.Entry.e =
       grammar_entry_create "binder_vars"
     in
     [Grammar.Entry.obj (level2_ast : 'level2_ast Grammar.Entry.e), None,
      [None, None,
       [[Gramext.Snterm (Grammar.Entry.obj (term : 'term Grammar.Entry.e))],
        Gramext.action
          (fun (p : 'term) (loc : Lexing.position * Lexing.position) ->
             (p : 'level2_ast))]];
      Grammar.Entry.obj (sort : 'sort Grammar.Entry.e), None,
      [None, None,
       [[Gramext.Stoken ("", "CProp")],
        Gramext.action
          (fun _ (loc : Lexing.position * Lexing.position) ->
             (`CProp : 'sort));
        [Gramext.Stoken ("", "Type")],
        Gramext.action
          (fun _ (loc : Lexing.position * Lexing.position) ->
             (`Type : 'sort));
        [Gramext.Stoken ("", "Set")],
        Gramext.action
          (fun _ (loc : Lexing.position * Lexing.position) -> (`Set : 'sort));
        [Gramext.Stoken ("", "Prop")],
        Gramext.action
          (fun _ (loc : Lexing.position * Lexing.position) ->
             (`Prop : 'sort))]];
      Grammar.Entry.obj (explicit_subst : 'explicit_subst Grammar.Entry.e),
      None,
      [None, None,
       [[Gramext.Stoken ("SYMBOL", "\\subst"); Gramext.Stoken ("SYMBOL", "[");
         Gramext.Slist1sep
           (Gramext.srules
              [[Gramext.Stoken ("IDENT", "");
                Gramext.Stoken ("SYMBOL", "≔");
                Gramext.Snterm
                  (Grammar.Entry.obj (term : 'term Grammar.Entry.e))],
               Gramext.action
                 (fun (t : 'term) _ (i : string)
                    (loc : Lexing.position * Lexing.position) ->
                    (i, t : 'e__2))],
            Gramext.Stoken ("SYMBOL", ";"));
         Gramext.Stoken ("SYMBOL", "]")],
        Gramext.action
          (fun _ (substs : 'e__2 list) _ _
             (loc : Lexing.position * Lexing.position) ->
             (substs : 'explicit_subst))]];
      Grammar.Entry.obj (meta_subst : 'meta_subst Grammar.Entry.e), None,
      [None, None,
       [[Gramext.Snterm (Grammar.Entry.obj (term : 'term Grammar.Entry.e))],
        Gramext.action
          (fun (p : 'term) (loc : Lexing.position * Lexing.position) ->
             (Some p : 'meta_subst));
        [Gramext.Stoken ("SYMBOL", "_")],
        Gramext.action
          (fun (s : string) (loc : Lexing.position * Lexing.position) ->
             (None : 'meta_subst))]];
      Grammar.Entry.obj (meta_substs : 'meta_substs Grammar.Entry.e), None,
      [None, None,
       [[Gramext.Stoken ("SYMBOL", "[");
         Gramext.Slist0
           (Gramext.Snterm
              (Grammar.Entry.obj (meta_subst : 'meta_subst Grammar.Entry.e)));
         Gramext.Stoken ("SYMBOL", "]")],
        Gramext.action
          (fun _ (substs : 'meta_subst list) _
             (loc : Lexing.position * Lexing.position) ->
             (substs : 'meta_substs))]];
      Grammar.Entry.obj
        (possibly_typed_name : 'possibly_typed_name Grammar.Entry.e),
      None,
      [None, None,
       [[Gramext.Snterm
           (Grammar.Entry.obj (single_arg : 'single_arg Grammar.Entry.e))],
        Gramext.action
          (fun (arg : 'single_arg)
             (loc : Lexing.position * Lexing.position) ->
             (arg, None : 'possibly_typed_name));
        [Gramext.Stoken ("LPAREN", "");
         Gramext.Snterm
           (Grammar.Entry.obj (single_arg : 'single_arg Grammar.Entry.e));
         Gramext.Stoken ("SYMBOL", ":");
         Gramext.Snterm (Grammar.Entry.obj (term : 'term Grammar.Entry.e));
         Gramext.Stoken ("RPAREN", "")],
        Gramext.action
          (fun _ (typ : 'term) _ (id : 'single_arg) _
             (loc : Lexing.position * Lexing.position) ->
             (id, Some typ : 'possibly_typed_name))]];
      Grammar.Entry.obj (match_pattern : 'match_pattern Grammar.Entry.e),
      None,
      [None, None,
       [[Gramext.Stoken ("LPAREN", ""); Gramext.Stoken ("IDENT", "");
         Gramext.Slist1
           (Gramext.Snterm
              (Grammar.Entry.obj
                 (possibly_typed_name :
                  'possibly_typed_name Grammar.Entry.e)));
         Gramext.Stoken ("RPAREN", "")],
        Gramext.action
          (fun _ (vars : 'possibly_typed_name list) (id : string) _
             (loc : Lexing.position * Lexing.position) ->
             (id, None, vars : 'match_pattern));
        [Gramext.Stoken ("IDENT", "")],
        Gramext.action
          (fun (id : string) (loc : Lexing.position * Lexing.position) ->
             (id, None, [] : 'match_pattern))]];
      Grammar.Entry.obj (binder : 'binder Grammar.Entry.e), None,
      [None, None,
       [[Gramext.Stoken ("SYMBOL", "λ")],
        Gramext.action
          (fun _ (loc : Lexing.position * Lexing.position) ->
             (`Lambda : 'binder));
        [Gramext.Stoken ("SYMBOL", "∀")],
        Gramext.action
          (fun _ (loc : Lexing.position * Lexing.position) ->
             (`Forall : 'binder));
        [Gramext.Stoken ("SYMBOL", "Π")],
        Gramext.action
          (fun _ (loc : Lexing.position * Lexing.position) ->
             (`Pi : 'binder))]];
      Grammar.Entry.obj (arg : 'arg Grammar.Entry.e), None,
      [None, None,
       [[Gramext.Stoken ("UNPARSED_META", "")],
        Gramext.action
          (fun (blob : string) (loc : Lexing.position * Lexing.position) ->
             (let meta =
                !parse_level2_meta_ref (Ulexing.from_utf8_string blob)
              in
              match meta with
                Ast.Variable (Ast.FreshVar _) -> [meta], None
              | Ast.Variable (Ast.TermVar "_") ->
                  [Ast.Ident ("_", None)], None
              | _ -> failwith "Invalid bound name." :
              'arg));
        [Gramext.Stoken ("IDENT", "")],
        Gramext.action
          (fun (name : string) (loc : Lexing.position * Lexing.position) ->
             ([Ast.Ident (name, None)], None : 'arg));
        [Gramext.Stoken ("LPAREN", "");
         Gramext.Slist1sep
           (Gramext.Stoken ("IDENT", ""), Gramext.Stoken ("SYMBOL", ","));
         Gramext.Stoken ("SYMBOL", ":");
         Gramext.Snterm (Grammar.Entry.obj (term : 'term Grammar.Entry.e));
         Gramext.Stoken ("RPAREN", "")],
        Gramext.action
          (fun _ (ty : 'term) _ (names : string list) _
             (loc : Lexing.position * Lexing.position) ->
             (List.map (fun n -> Ast.Ident (n, None)) names, Some ty :
              'arg))]];
      Grammar.Entry.obj (single_arg : 'single_arg Grammar.Entry.e), None,
      [None, None,
       [[Gramext.Stoken ("UNPARSED_META", "")],
        Gramext.action
          (fun (blob : string) (loc : Lexing.position * Lexing.position) ->
             (let meta =
                !parse_level2_meta_ref (Ulexing.from_utf8_string blob)
              in
              match meta with
                Ast.Variable (Ast.FreshVar _) |
                Ast.Variable (Ast.IdentVar _) ->
                  meta
              | Ast.Variable (Ast.TermVar "_") -> Ast.Ident ("_", None)
              | _ -> failwith "Invalid index name." :
              'single_arg));
        [Gramext.Stoken ("IDENT", "")],
        Gramext.action
          (fun (name : string) (loc : Lexing.position * Lexing.position) ->
             (Ast.Ident (name, None) : 'single_arg))]];
      Grammar.Entry.obj (induction_kind : 'induction_kind Grammar.Entry.e),
      None,
      [None, None,
       [[Gramext.Stoken ("", "corec")],
        Gramext.action
          (fun _ (loc : Lexing.position * Lexing.position) ->
             (`CoInductive : 'induction_kind));
        [Gramext.Stoken ("", "rec")],
        Gramext.action
          (fun _ (loc : Lexing.position * Lexing.position) ->
             (`Inductive : 'induction_kind))]];
      Grammar.Entry.obj (let_defs : 'let_defs Grammar.Entry.e), None,
      [None, None,
       [[Gramext.Slist1sep
           (Gramext.srules
              [[Gramext.Snterm
                  (Grammar.Entry.obj
                     (single_arg : 'single_arg Grammar.Entry.e));
                Gramext.Slist1
                  (Gramext.Snterm
                     (Grammar.Entry.obj (arg : 'arg Grammar.Entry.e)));
                Gramext.Sopt
                  (Gramext.srules
                     [[Gramext.Stoken ("", "on");
                       Gramext.Snterm
                         (Grammar.Entry.obj
                            (single_arg : 'single_arg Grammar.Entry.e))],
                      Gramext.action
                        (fun (id : 'single_arg) _
                           (loc : Lexing.position * Lexing.position) ->
                           (id : 'e__3))]);
                Gramext.Sopt
                  (Gramext.srules
                     [[Gramext.Stoken ("SYMBOL", ":");
                       Gramext.Snterm
                         (Grammar.Entry.obj (term : 'term Grammar.Entry.e))],
                      Gramext.action
                        (fun (p : 'term) _
                           (loc : Lexing.position * Lexing.position) ->
                           (p : 'e__4))]);
                Gramext.Stoken ("SYMBOL", "≝");
                Gramext.Snterm
                  (Grammar.Entry.obj (term : 'term Grammar.Entry.e))],
               Gramext.action
                 (fun (body : 'term) _ (ty : 'e__4 option)
                    (index_name : 'e__3 option) (args : 'arg list)
                    (name : 'single_arg)
                    (loc : Lexing.position * Lexing.position) ->
                    (let body = fold_binder `Lambda args body in
                     let ty =
                       match ty with
                         None -> None
                       | Some ty -> Some (fold_binder `Pi args ty)
                     in
                     let rec position_of name p =
                       function
                         [] -> None, p
                       | n :: _ when n = name -> Some p, p
                       | _ :: tl -> position_of name (p + 1) tl
                     in
                     let rec find_arg name n =
                       function
                         [] ->
                           Ast.fail loc
                             (sprintf "Argument %s not found"
                                (CicNotationPp.pp_term name))
                       | (l, _) :: tl ->
                           match position_of name 0 l with
                             None, len -> find_arg name (n + len) tl
                           | Some where, len -> n + where
                     in
                     let index =
                       match index_name with
                         None -> 0
                       | Some index_name -> find_arg index_name 0 args
                     in
                     (name, ty), body, index :
                     'e__5))],
            Gramext.Stoken ("", "and"))],
        Gramext.action
          (fun (defs : 'e__5 list)
             (loc : Lexing.position * Lexing.position) ->
             (defs : 'let_defs))]];
      Grammar.Entry.obj (binder_vars : 'binder_vars Grammar.Entry.e), None,
      [None, None,
       [[Gramext.Stoken ("LPAREN", "");
         Gramext.srules
           [[Gramext.Stoken ("SYMBOL", "_")],
            Gramext.action
              (fun _ (loc : Lexing.position * Lexing.position) ->
                 ([Ast.Ident ("_", None)] : 'e__8));
            [Gramext.Slist1sep
               (Gramext.Snterm
                  (Grammar.Entry.obj
                     (single_arg : 'single_arg Grammar.Entry.e)),
                Gramext.Stoken ("SYMBOL", ","))],
            Gramext.action
              (fun (l : 'single_arg list)
                 (loc : Lexing.position * Lexing.position) ->
                 (l : 'e__8))];
         Gramext.Sopt
           (Gramext.srules
              [[Gramext.Stoken ("SYMBOL", ":");
                Gramext.Snterm
                  (Grammar.Entry.obj (term : 'term Grammar.Entry.e))],
               Gramext.action
                 (fun (t : 'term) _
                    (loc : Lexing.position * Lexing.position) ->
                    (t : 'e__9))]);
         Gramext.Stoken ("RPAREN", "")],
        Gramext.action
          (fun _ (typ : 'e__9 option) (vars : 'e__8) _
             (loc : Lexing.position * Lexing.position) ->
             (vars, typ : 'binder_vars));
        [Gramext.srules
           [[Gramext.Stoken ("SYMBOL", "_")],
            Gramext.action
              (fun _ (loc : Lexing.position * Lexing.position) ->
                 ([Ast.Ident ("_", None)] : 'e__6));
            [Gramext.Slist1sep
               (Gramext.Snterm
                  (Grammar.Entry.obj
                     (single_arg : 'single_arg Grammar.Entry.e)),
                Gramext.Stoken ("SYMBOL", ","))],
            Gramext.action
              (fun (l : 'single_arg list)
                 (loc : Lexing.position * Lexing.position) ->
                 (l : 'e__6))];
         Gramext.Sopt
           (Gramext.srules
              [[Gramext.Stoken ("SYMBOL", ":");
                Gramext.Snterm
                  (Grammar.Entry.obj (term : 'term Grammar.Entry.e))],
               Gramext.action
                 (fun (t : 'term) _
                    (loc : Lexing.position * Lexing.position) ->
                    (t : 'e__7))])],
        Gramext.action
          (fun (typ : 'e__7 option) (vars : 'e__6)
             (loc : Lexing.position * Lexing.position) ->
             (vars, typ : 'binder_vars))]];
      Grammar.Entry.obj (term : 'term Grammar.Entry.e),
      Some (Gramext.Level "10N"),
      [None, None,
       [[Gramext.Stoken ("", "let");
         Gramext.Snterm
           (Grammar.Entry.obj
              (induction_kind : 'induction_kind Grammar.Entry.e));
         Gramext.Snterm
           (Grammar.Entry.obj (let_defs : 'let_defs Grammar.Entry.e));
         Gramext.Stoken ("", "in"); Gramext.Sself],
        Gramext.action
          (fun (body : 'term) _ (defs : 'let_defs) (k : 'induction_kind) _
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.LetRec (k, defs, body)) : 'term));
        [Gramext.Stoken ("", "let");
         Gramext.Snterm
           (Grammar.Entry.obj
              (possibly_typed_name : 'possibly_typed_name Grammar.Entry.e));
         Gramext.Stoken ("SYMBOL", "≝"); Gramext.Sself;
         Gramext.Stoken ("", "in"); Gramext.Sself],
        Gramext.action
          (fun (p2 : 'term) _ (p1 : 'term) _ (var : 'possibly_typed_name) _
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.LetIn (var, p1, p2)) : 'term))]];
      Grammar.Entry.obj (term : 'term Grammar.Entry.e),
      Some (Gramext.Level "20R"),
      [None, None,
       [[Gramext.Stoken ("SYMBOL", "∃");
         Gramext.Snterm
           (Grammar.Entry.obj (binder_vars : 'binder_vars Grammar.Entry.e));
         Gramext.Stoken ("SYMBOL", "."); Gramext.Sself],
        Gramext.action
          (fun (body : 'term) _ (vars, typ : 'binder_vars) _
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc (fold_exists vars typ body) : 'term));
        [Gramext.Snterm
           (Grammar.Entry.obj (binder : 'binder Grammar.Entry.e));
         Gramext.Snterm
           (Grammar.Entry.obj (binder_vars : 'binder_vars Grammar.Entry.e));
         Gramext.Stoken ("SYMBOL", "."); Gramext.Sself],
        Gramext.action
          (fun (body : 'term) _ (vars, typ : 'binder_vars) (b : 'binder)
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc (fold_cluster b vars typ body) : 'term))]];
      Grammar.Entry.obj (term : 'term Grammar.Entry.e),
      Some (Gramext.Level "70L"),
      [None, None,
       [[Gramext.Sself; Gramext.Sself],
        Gramext.action
          (fun (p2 : 'term) (p1 : 'term)
             (loc : Lexing.position * Lexing.position) ->
             (let rec aux =
                function
                  Ast.Appl (hd :: tl) |
                  Ast.AttributedTerm (_, Ast.Appl (hd :: tl)) ->
                    aux hd @ tl
                | term -> [term]
              in
              return_term loc (Ast.Appl (aux p1 @ [p2])) :
              'term))]];
      Grammar.Entry.obj (term : 'term Grammar.Entry.e),
      Some (Gramext.Level "90N"),
      [None, None,
       [[Gramext.Stoken ("UNPARSED_META", "")],
        Gramext.action
          (fun (blob : string) (loc : Lexing.position * Lexing.position) ->
             (!parse_level2_meta_ref (Ulexing.from_utf8_string blob) :
              'term));
        [Gramext.Stoken ("LPAREN", ""); Gramext.Sself;
         Gramext.Stoken ("RPAREN", "")],
        Gramext.action
          (fun _ (p : 'term) _ (loc : Lexing.position * Lexing.position) ->
             (p : 'term));
        [Gramext.Stoken ("LPAREN", ""); Gramext.Sself;
         Gramext.Stoken ("SYMBOL", ":"); Gramext.Sself;
         Gramext.Stoken ("RPAREN", "")],
        Gramext.action
          (fun _ (p2 : 'term) _ (p1 : 'term) _
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Cast (p1, p2)) : 'term));
        [Gramext.Sopt
           (Gramext.srules
              [[Gramext.Stoken ("SYMBOL", "[");
                Gramext.Snterm
                  (Grammar.Entry.obj (term : 'term Grammar.Entry.e));
                Gramext.Stoken ("SYMBOL", "]")],
               Gramext.action
                 (fun _ (ty : 'term) _
                    (loc : Lexing.position * Lexing.position) ->
                    (ty : 'e__10))]);
         Gramext.Stoken ("", "match"); Gramext.Sself;
         Gramext.Sopt
           (Gramext.srules
              [[Gramext.Stoken ("", "in"); Gramext.Stoken ("IDENT", "")],
               Gramext.action
                 (fun (id : string) _
                    (loc : Lexing.position * Lexing.position) ->
                    (id, None : 'e__11))]);
         Gramext.Stoken ("", "with"); Gramext.Stoken ("SYMBOL", "[");
         Gramext.Slist0sep
           (Gramext.srules
              [[Gramext.Snterm
                  (Grammar.Entry.obj
                     (match_pattern : 'match_pattern Grammar.Entry.e));
                Gramext.Stoken ("SYMBOL", "⇒");
                Gramext.Snterm
                  (Grammar.Entry.obj (term : 'term Grammar.Entry.e))],
               Gramext.action
                 (fun (rhs : 'term) _ (lhs : 'match_pattern)
                    (loc : Lexing.position * Lexing.position) ->
                    (lhs, rhs : 'e__12))],
            Gramext.Stoken ("SYMBOL", "|"));
         Gramext.Stoken ("SYMBOL", "]")],
        Gramext.action
          (fun _ (patterns : 'e__12 list) _ _ (indty_ident : 'e__11 option)
             (t : 'term) _ (outtyp : 'e__10 option)
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Case (t, indty_ident, outtyp, patterns)) :
              'term));
        [Gramext.Snterm (Grammar.Entry.obj (sort : 'sort Grammar.Entry.e))],
        Gramext.action
          (fun (s : 'sort) (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Sort s) : 'term));
        [Gramext.Stoken ("META", "");
         Gramext.Snterm
           (Grammar.Entry.obj (meta_substs : 'meta_substs Grammar.Entry.e))],
        Gramext.action
          (fun (s : 'meta_substs) (m : string)
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Meta (int_of_string m, s)) : 'term));
        [Gramext.Stoken ("META", "")],
        Gramext.action
          (fun (m : string) (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Meta (int_of_string m, [])) : 'term));
        [Gramext.Stoken ("PLACEHOLDER", "")],
        Gramext.action
          (fun _ (loc : Lexing.position * Lexing.position) ->
             (return_term loc Ast.UserInput : 'term));
        [Gramext.Stoken ("IMPLICIT", "")],
        Gramext.action
          (fun _ (loc : Lexing.position * Lexing.position) ->
             (return_term loc Ast.Implicit : 'term));
        [Gramext.Stoken ("NUMBER", "")],
        Gramext.action
          (fun (n : string) (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Num (n, 0)) : 'term));
        [Gramext.Stoken ("URI", "")],
        Gramext.action
          (fun (u : string) (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Uri (u, None)) : 'term));
        [Gramext.Stoken ("CSYMBOL", "")],
        Gramext.action
          (fun (s : string) (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Symbol (s, 0)) : 'term));
        [Gramext.Stoken ("IDENT", "");
         Gramext.Snterm
           (Grammar.Entry.obj
              (explicit_subst : 'explicit_subst Grammar.Entry.e))],
        Gramext.action
          (fun (s : 'explicit_subst) (id : string)
             (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Ident (id, Some s)) : 'term));
        [Gramext.Stoken ("IDENT", "")],
        Gramext.action
          (fun (id : string) (loc : Lexing.position * Lexing.position) ->
             (return_term loc (Ast.Ident (id, None)) : 'term))]]])
(* }}} *)

(** {2 API implementation} *)

let exc_located_wrapper f =
  try f () with
    Stdpp.Exc_located (floc, Stream.Error msg) ->
      raise (Parse_error (floc, msg))
  | Stdpp.Exc_located (floc, exn) ->
      raise (Parse_error (floc, Printexc.to_string exn))

let parse_level1_pattern lexbuf =
  CicNotationLexer.set_lexbuf lexbuf;
  exc_located_wrapper
    (fun () -> Grammar.Entry.parse level1_pattern Stream.sempty)

let parse_level2_ast lexbuf =
  CicNotationLexer.set_lexbuf lexbuf;
  exc_located_wrapper (fun () -> Grammar.Entry.parse level2_ast Stream.sempty)

let parse_level2_meta lexbuf =
  CicNotationLexer.set_lexbuf lexbuf;
  exc_located_wrapper
    (fun () -> Grammar.Entry.parse level2_meta Stream.sempty)

let _ =
  parse_level1_pattern_ref := parse_level1_pattern;
  parse_level2_ast_ref := parse_level2_ast;
  parse_level2_meta_ref := parse_level2_meta

(** {2 Debugging} *)

let print_l2_pattern () =
  Grammar.print_entry Format.std_formatter (Grammar.Entry.obj term);
  Format.pp_print_flush Format.std_formatter ();
  flush stdout

(* vim:set encoding=utf8 foldmethod=marker: *)