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(************************************************************************)
(*         *   The Coq Proof Assistant / The Coq Development Team       *)
(*  v      *   INRIA, CNRS and contributors - Copyright 1999-2019       *)
(* <O___,, *       (see CREDITS file for the list of authors)           *)
(*   \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 Names
open Libnames

(** {6 Concrete syntax for terms } *)

(** [constr_expr] is the abstract syntax tree produced by the parser *)
type universe_decl_expr = (lident list, Glob_term.glob_constraint list) UState.gen_universe_decl

type ident_decl = lident * universe_decl_expr option
type name_decl = lname * universe_decl_expr option

type notation_entry = InConstrEntry | InCustomEntry of string
type notation_entry_level = InConstrEntrySomeLevel | InCustomEntryLevel of string * int
type notation_key = string
type notation = notation_entry_level * notation_key

type 'a or_by_notation_r =
  | AN of 'a
  | ByNotation of (string * string option)

type 'a or_by_notation = 'a or_by_notation_r CAst.t

(* NB: the last string in [ByNotation] is actually a [Notation.delimiters],
   but this formulation avoids a useless dependency. *)

type explicitation =
  | ExplByPos of int * Id.t option (* a reference to the n-th product starting from left *)
  | ExplByName of Id.t

type binder_kind =
  | Default of Glob_term.binding_kind
  | Generalized of Glob_term.binding_kind * bool
      (** (Inner binding always Implicit) Outer bindings, typeclass-specific flag
         for implicit generalization of superclasses *)

type abstraction_kind = AbsLambda | AbsPi

type proj_flag = int option (** [Some n] = proj of the n-th visible argument *)

(** Representation of decimal literals that appear in Coq scripts.
   We now use raw strings following the format defined by
   [NumTok.t] and a separate sign flag.

   Note that this representation is not unique, due to possible
   multiple leading or trailing zeros, and -0 = +0, for instances.
   The reason to keep the numeral exactly as it was parsed is that
   specific notations can be declared for specific numerals
   (e.g. [Notation "0" := False], or [Notation "00" := (nil,nil)], or
   [Notation "2e1" := ...]). Those notations, which override the
   generic interpretation as numeral, use the same representation of
   numeral using the Numeral constructor. So the latter should be able
   to record the form of the numeral which exactly matches the
   notation. *)

type sign = SPlus | SMinus
type raw_numeral = NumTok.t

type prim_token =
  | Numeral of sign * raw_numeral
  | String of string

type instance_expr = Glob_term.glob_level list

type cases_pattern_expr_r =
  | CPatAlias of cases_pattern_expr * lname
  | CPatCstr  of qualid
    * cases_pattern_expr list option * cases_pattern_expr list
  (** [CPatCstr (_, c, Some l1, l2)] represents [(@ c l1) l2] *)
  | CPatAtom of qualid option
  | CPatOr   of cases_pattern_expr list
  | CPatNotation of notation * cases_pattern_notation_substitution
    * cases_pattern_expr list (** CPatNotation (_, n, l1 ,l2) represents
                                  (notation n applied with substitution l1)
                                  applied to arguments l2 *)
  | CPatPrim   of prim_token
  | CPatRecord of (qualid * cases_pattern_expr) list
  | CPatDelimiters of string * cases_pattern_expr
  | CPatCast   of cases_pattern_expr * constr_expr
and cases_pattern_expr = cases_pattern_expr_r CAst.t

and cases_pattern_notation_substitution =
    cases_pattern_expr list *     (* for constr subterms *)
    cases_pattern_expr list list  (* for recursive notations *)

and constr_expr_r =
  | CRef     of qualid * instance_expr option
  | CFix     of lident * fix_expr list
  | CCoFix   of lident * cofix_expr list
  | CProdN   of local_binder_expr list * constr_expr
  | CLambdaN of local_binder_expr list * constr_expr
  | CLetIn   of lname * constr_expr * constr_expr option * constr_expr
  | CAppExpl of (proj_flag * qualid * instance_expr option) * constr_expr list
  | CApp     of (proj_flag * constr_expr) *
                (constr_expr * explicitation CAst.t option) list
  | CRecord  of (qualid * constr_expr) list

  (* representation of the "let" and "match" constructs *)
  | CCases of Constr.case_style   (* determines whether this value represents "let" or "match" construct *)
            * constr_expr option  (* return-clause *)
            * case_expr list
            * branch_expr list    (* branches *)

  | CLetTuple of lname list * (lname option * constr_expr option) *
                 constr_expr * constr_expr
  | CIf of constr_expr * (lname option * constr_expr option)
         * constr_expr * constr_expr
  | CHole   of Evar_kinds.t option * Namegen.intro_pattern_naming_expr * Genarg.raw_generic_argument option
  | CPatVar of Pattern.patvar
  | CEvar   of Glob_term.existential_name * (Id.t * constr_expr) list
  | CSort   of Glob_term.glob_sort
  | CCast   of constr_expr * constr_expr Glob_term.cast_type
  | CNotation of notation * constr_notation_substitution
  | CGeneralization of Glob_term.binding_kind * abstraction_kind option * constr_expr
  | CPrim of prim_token
  | CDelimiters of string * constr_expr
and constr_expr = constr_expr_r CAst.t

and case_expr = constr_expr                 (* expression that is being matched *)
              * lname option                (* as-clause *)
              * cases_pattern_expr option   (* in-clause *)

and branch_expr =
  (cases_pattern_expr list list * constr_expr) CAst.t

and fix_expr =
    lident * recursion_order_expr option *
      local_binder_expr list * constr_expr * constr_expr

and cofix_expr =
    lident * local_binder_expr list * constr_expr * constr_expr

and recursion_order_expr_r =
  | CStructRec of lident
  | CWfRec of lident * constr_expr
  | CMeasureRec of lident option * constr_expr * constr_expr option (** argument, measure, relation *)
and recursion_order_expr = recursion_order_expr_r CAst.t

(* Anonymous defs allowed ?? *)
and local_binder_expr =
  | CLocalAssum   of lname list * binder_kind * constr_expr
  | CLocalDef     of lname * constr_expr * constr_expr option
  | CLocalPattern of (cases_pattern_expr * constr_expr option) CAst.t

and constr_notation_substitution =
    constr_expr list *      (* for constr subterms *)
    constr_expr list list * (* for recursive notations *)
    cases_pattern_expr list *   (* for binders *)
    local_binder_expr list list (* for binder lists (recursive notations) *)

type constr_pattern_expr = constr_expr

(** Concrete syntax for modules and module types *)

type with_declaration_ast =
  | CWith_Module of Id.t list CAst.t * qualid
  | CWith_Definition of Id.t list CAst.t * universe_decl_expr option * constr_expr

type module_ast_r =
  | CMident of qualid
  | CMapply of module_ast * module_ast
  | CMwith  of module_ast * with_declaration_ast
and module_ast = module_ast_r CAst.t