(* *)(* 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 oopen CicNotationEnvoopen CicNotationPt eexception Parse_error of Token.flocation * stringeexception Level_not_found of int llet grammar = Grammar.gcreate CicNotationLexer.notation_lexer llet min_precedence = 0llet max_precedence = 100llet default_precedence = 50 llet level1_pattern = Grammar.Entry.create grammar "level1_pattern"llet level2_pattern = Grammar.Entry.create grammar "level2_pattern"llet level3_term = Grammar.Entry.create grammar "level3_term"llet l2_pattern = Grammar.Entry.create grammar "l2_pattern"llet notation = Grammar.Entry.create grammar "notation"(* level1 <-> level 2 *) llet interpretation = Grammar.Entry.create grammar "interpretation"(* level2 <-> level 3 *) llet phrase = Grammar.Entry.create grammar "phrase" llet return_term loc term = () llet fail floc msg = let (x, y) = loc_of_floc floc in failwith (sprintf "Error at characters %d - %d: %s" x y msg) 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 symbol s = Gramext.Stoken ("SYMBOL", s)llet ident s = Gramext.Stoken ("IDENT", s)llet number s = Gramext.Stoken ("NUMBER", s)llet term = Gramext.Sself llet g_symbol_of_literal = function `Symbol s -> symbol s | `Keyword s -> ident s | `Number s -> number s ttype binding = NoBinding | Binding of string * value_type | Env of (string * value_type) list llet make_action action bindings = let rec aux (vl : env_type) = function [] -> Gramext.action (fun (loc : location) -> action vl loc) | NoBinding :: tl -> Gramext.action (fun _ -> aux vl tl) | Binding (name, TermType) :: tl -> Gramext.action (fun (v : term) -> aux ((name, (TermType, TermValue v)) :: vl) tl) | Binding (name, StringType) :: tl -> Gramext.action (fun (v : string) -> aux ((name, (StringType, StringValue v)) :: vl) tl) | Binding (name, NumType) :: tl -> Gramext.action (fun (v : string) -> aux ((name, (NumType, NumValue v)) :: vl) tl) | Binding (name, OptType t) :: tl -> Gramext.action (fun (v : 'a option) -> aux ((name, (OptType t, OptValue v)) :: vl) tl) | Binding (name, ListType t) :: tl -> Gramext.action (fun (v : 'a list) -> aux ((name, (ListType t, ListValue v)) :: vl) tl) | Env _ :: tl -> Gramext.action (fun (v : env_type) -> 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 *) let extract_term_production pattern = let rec aux = function AttributedTerm (_, t) -> aux t | Literal l -> aux_literal l | Layout l -> aux_layout l | Magic m -> aux_magic m | Variable v -> aux_variable v | t -> prerr_endline (CicNotationPp.pp_term t); assert false and aux_literal = function `Symbol s -> [NoBinding, symbol s] | `Keyword s -> [NoBinding, ident s] | `Number s -> [NoBinding, number s] and aux_layout = function Sub (p1, p2) -> aux p1 @ [NoBinding, symbol "\\SUB"] @ aux p2 | Sup (p1, p2) -> aux p1 @ [NoBinding, symbol "\\SUP"] @ aux p2 | Below (p1, p2) -> aux p1 @ [NoBinding, symbol "\\BELOW"] @ aux p2 | Above (p1, p2) -> aux p1 @ [NoBinding, symbol "\\ABOVE"] @ aux p2 | Frac (p1, p2) -> aux p1 @ [NoBinding, symbol "\\FRAC"] @ aux p2 | Atop (p1, p2) -> aux p1 @ [NoBinding, symbol "\\ATOP"] @ aux p2 | Over (p1, p2) -> aux p1 @ [NoBinding, symbol "\\OVER"] @ aux p2 | Root (p1, p2) -> [NoBinding, symbol "\\ROOT"] @ aux p2 @ [NoBinding, symbol "\\OF"] @ aux p1 | Sqrt p -> [NoBinding, symbol "\\SQRT"] @ aux p (* | Break -> [] *) | Box (_, pl) -> List.flatten (List.map aux pl) and aux_magic magic = match magic with Opt p -> let (p_bindings, p_atoms, p_names, p_action) = inner_pattern p in let action (env_opt : env_type option) (loc : location) = match env_opt with Some env -> List.map opt_binding_some env | None -> List.map opt_binding_of_name p_names in [Env (List.map opt_declaration p_names), Gramext.srules [[Gramext.Sopt (Gramext.srules [p_atoms, p_action])], Gramext.action action]] | List0 (p, _) | List1 (p, _) -> let (p_bindings, p_atoms, p_names, p_action) = inner_pattern p in let env0 = List.map list_binding_of_name p_names in let grow_env_entry env n v = List.map (function n', (ty, ListValue vl) as entry -> if n' = n then n', (ty, ListValue (v :: vl)) else entry | _ -> assert false) env in let grow_env env_i env = List.fold_left (fun env (n, (_, v)) -> grow_env_entry env n v) env env_i in let action (env_list : env_type list) (loc : location) = List.fold_right grow_env env_list env0 in let g_symbol s = match magic with List0 (_, None) -> Gramext.Slist0 s | List1 (_, None) -> Gramext.Slist1 s | List0 (_, Some l) -> Gramext.Slist0sep (s, g_symbol_of_literal l) | List1 (_, Some l) -> Gramext.Slist1sep (s, g_symbol_of_literal l) | _ -> assert false in [Env (List.map list_declaration p_names), Gramext.srules [[g_symbol (Gramext.srules [p_atoms, p_action])], Gramext.action action]] | _ -> assert false and aux_variable = function NumVar s -> [Binding (s, NumType), number ""] | TermVar s -> [Binding (s, TermType), term] | IdentVar s -> [Binding (s, StringType), ident ""] | Ascription (p, s) -> assert false | 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 : env_type) (loc : location) -> env) p_bindings in p_bindings, p_atoms, p_names, action in aux pattern let level_of_int precedence = if precedence < min_precedence || precedence > max_precedence then raise (Level_not_found precedence); string_of_int precedence type rule_id = Token.t Gramext.g_symbol list let extend level1_pattern ?(precedence = default_precedence) = fun ?associativity action -> let (p_bindings, p_atoms) = List.split (extract_term_production level1_pattern) in let level = level_of_int precedence in let p_names = flatten_opt p_bindings in let _ = Grammar.extend [Grammar.Entry.obj (l2_pattern : 'a Grammar.Entry.e), Some (Gramext.Level level), [None, associativity, [p_atoms, make_action (fun (env : env_type) (loc : location) -> action env loc) p_bindings]]] in p_atoms let delete atoms = Grammar.delete_rule l2_pattern atoms (** {2 Grammar} *) let boxify = function [a] -> a | l -> Layout (Box (H, l)) let fold_binder binder pt_names body = let fold_cluster binder terms ty body = List.fold_right (fun term body -> Binder (binder, (term, ty), body)) terms body in List.fold_right (fun (names, ty) body -> fold_cluster binder names ty body) pt_names body let return_term loc term = AttributedTerm (`Loc loc, term) let _ = let mk_level_list first last = let rec aux acc = function i when i < first -> acc | i -> aux ((Some (string_of_int i), None, []) :: acc) (i - 1) in aux [] last in Grammar.extend [Grammar.Entry.obj (l2_pattern : 'a Grammar.Entry.e), None, mk_level_list min_precedence max_precedence] let _ = Grammar.extend (let _ = (level1_pattern : 'level1_pattern Grammar.Entry.e) and _ = (level2_pattern : 'level2_pattern Grammar.Entry.e) and _ = (level3_term : 'level3_term Grammar.Entry.e) and _ = (l2_pattern : 'l2_pattern Grammar.Entry.e) and _ = (notation : 'notation Grammar.Entry.e) and _ = (interpretation : 'interpretation Grammar.Entry.e) and _ = (phrase : 'phrase 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" and 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 bound_name : 'bound_name Grammar.Entry.e = grammar_entry_create "bound_name" and bound_names : 'bound_names Grammar.Entry.e = grammar_entry_create "bound_names" and induction_kind : 'induction_kind Grammar.Entry.e = grammar_entry_create "induction_kind" and let_defs : 'let_defs Grammar.Entry.e = grammar_entry_create "let_defs" and l2_pattern_variable : 'l2_pattern_variable Grammar.Entry.e = grammar_entry_create "l2_pattern_variable" and l2_magic_pattern : 'l2_magic_pattern Grammar.Entry.e = grammar_entry_create "l2_magic_pattern" and argument : 'argument Grammar.Entry.e = grammar_entry_create "argument" and associativity : 'associativity Grammar.Entry.e = grammar_entry_create "associativity" and precedence : 'precedence Grammar.Entry.e = grammar_entry_create "precedence" in [Grammar.Entry.obj (level1_pattern : 'level1_pattern Grammar.Entry.e), None, [None, None, [[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) -> (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 ("KEYWORD", "")], 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 ("SYMBOL", "\\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 ("SYMBOL", "\\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) -> (Opt p : 'l1_magic_pattern)); [Gramext.Stoken ("SYMBOL", "\\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) -> (List1 (p, sep) : 'l1_magic_pattern)); [Gramext.Stoken ("SYMBOL", "\\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) -> (List0 (p, sep) : 'l1_magic_pattern))]]; Grammar.Entry.obj (l1_pattern_variable : 'l1_pattern_variable Grammar.Entry.e), None, [None, None, [[Gramext.Stoken ("SYMBOL", "\\IDENT"); Gramext.Stoken ("IDENT", "")], Gramext.action (fun (id : string) _ (loc : Lexing.position * Lexing.position) -> (IdentVar id : 'l1_pattern_variable)); [Gramext.Stoken ("SYMBOL", "\\NUM"); Gramext.Stoken ("IDENT", "")], Gramext.action (fun (id : string) _ (loc : Lexing.position * Lexing.position) -> (NumVar id : 'l1_pattern_variable)); [Gramext.Stoken ("SYMBOL", "\\TERM"); Gramext.Stoken ("IDENT", "")], Gramext.action (fun (id : string) _ (loc : Lexing.position * Lexing.position) -> (TermVar id : 'l1_pattern_variable))]]; Grammar.Entry.obj (l1_simple_pattern : 'l1_simple_pattern Grammar.Entry.e), None, [Some "layout", Some Gramext.LeftA, [[Gramext.Sself; Gramext.Stoken ("SYMBOL", "\\AS"); Gramext.Stoken ("IDENT", "")], Gramext.action (fun (id : string) _ (p : 'l1_simple_pattern) (loc : Lexing.position * Lexing.position) -> (return_term loc (Variable (Ascription (p, id))) : 'l1_simple_pattern)); [Gramext.Stoken ("DELIM", "\\["); Gramext.Snterm (Grammar.Entry.obj (l1_pattern : 'l1_pattern Grammar.Entry.e)); Gramext.Stoken ("DELIM", "\\]")], Gramext.action (fun _ (p : 'l1_pattern) _ (loc : Lexing.position * Lexing.position) -> (return_term loc (boxify p) : 'l1_simple_pattern)); [Gramext.Stoken ("SYMBOL", "\\BREAK")], Gramext.action (fun _ (loc : Lexing.position * Lexing.position) -> (return_term loc (Layout Break) : 'l1_simple_pattern)); [Gramext.Stoken ("SYMBOL", "\\VBOX"); Gramext.Stoken ("DELIM", "\\["); Gramext.Snterm (Grammar.Entry.obj (l1_pattern : 'l1_pattern Grammar.Entry.e)); Gramext.Stoken ("DELIM", "\\]")], Gramext.action (fun _ (p : 'l1_pattern) _ _ (loc : Lexing.position * Lexing.position) -> (return_term loc (Layout (Box (V, p))) : 'l1_simple_pattern)); [Gramext.Stoken ("SYMBOL", "\\HBOX"); Gramext.Stoken ("DELIM", "\\["); Gramext.Snterm (Grammar.Entry.obj (l1_pattern : 'l1_pattern Grammar.Entry.e)); Gramext.Stoken ("DELIM", "\\]")], Gramext.action (fun _ (p : 'l1_pattern) _ _ (loc : Lexing.position * Lexing.position) -> (return_term loc (Layout (Box (H, 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 (Layout (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 (Layout (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 (Layout (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 (Layout (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 (Layout (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 (Layout (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 (Layout (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 (Layout (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 (Layout (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 (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 (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 (Magic m) : 'l1_simple_pattern)); [Gramext.Stoken ("IDENT", "")], Gramext.action (fun (i : string) (loc : Lexing.position * Lexing.position) -> (return_term loc (Ident (i, None)) : 'l1_simple_pattern))]]; Grammar.Entry.obj (level2_pattern : 'level2_pattern Grammar.Entry.e), None, [None, None, [[Gramext.Snterm (Grammar.Entry.obj (l2_pattern : 'l2_pattern Grammar.Entry.e))], Gramext.action (fun (p : 'l2_pattern) (loc : Lexing.position * Lexing.position) -> (p : 'level2_pattern))]]; Grammar.Entry.obj (sort : 'sort Grammar.Entry.e), None, [None, None, [[Gramext.Stoken ("SYMBOL", "\\TYPE")], Gramext.action (fun _ (loc : Lexing.position * Lexing.position) -> (`Type : 'sort)); [Gramext.Stoken ("SYMBOL", "\\SET")], Gramext.action (fun _ (loc : Lexing.position * Lexing.position) -> (`Set : 'sort)); [Gramext.Stoken ("SYMBOL", "\\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 (l2_pattern : 'l2_pattern Grammar.Entry.e))], Gramext.action (fun (t : 'l2_pattern) _ (i : string) (loc : Lexing.position * Lexing.position) -> (i, t : 'e__1))], Gramext.Stoken ("SYMBOL", ";")); Gramext.Stoken ("SYMBOL", "]")], Gramext.action (fun _ (substs : 'e__1 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 (l2_pattern : 'l2_pattern Grammar.Entry.e))], Gramext.action (fun (p : 'l2_pattern) (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 (bound_name : 'bound_name Grammar.Entry.e))], Gramext.action (fun (id : 'bound_name) (loc : Lexing.position * Lexing.position) -> (id, None : 'possibly_typed_name)); [Gramext.Stoken ("SYMBOL", "("); Gramext.Snterm (Grammar.Entry.obj (bound_name : 'bound_name Grammar.Entry.e)); Gramext.Stoken ("SYMBOL", ":"); Gramext.Snterm (Grammar.Entry.obj (l2_pattern : 'l2_pattern Grammar.Entry.e)); Gramext.Stoken ("SYMBOL", ")")], Gramext.action (fun _ (typ : 'l2_pattern) _ (id : 'bound_name) _ (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 ("SYMBOL", "("); Gramext.Stoken ("IDENT", ""); Gramext.Slist1 (Gramext.Snterm (Grammar.Entry.obj (possibly_typed_name : 'possibly_typed_name Grammar.Entry.e))); Gramext.Stoken ("SYMBOL", ")")], Gramext.action (fun _ (vars : 'possibly_typed_name list) (id : string) _ (loc : Lexing.position * Lexing.position) -> (id, vars : 'match_pattern)); [Gramext.Stoken ("IDENT", "")], Gramext.action (fun (id : string) (loc : Lexing.position * Lexing.position) -> (id, [] : '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", "∃")], Gramext.action (fun _ (loc : Lexing.position * Lexing.position) -> (`Exists : 'binder)); [Gramext.Stoken ("SYMBOL", "Π")], Gramext.action (fun _ (loc : Lexing.position * Lexing.position) -> (`Pi : 'binder))]]; Grammar.Entry.obj (bound_name : 'bound_name Grammar.Entry.e), None, [None, None, [[Gramext.Stoken ("SYMBOL", "\\FRESH"); Gramext.Stoken ("IDENT", "")], Gramext.action (fun (i : string) _ (loc : Lexing.position * Lexing.position) -> (Variable (FreshVar i) : 'bound_name)); [Gramext.Stoken ("IDENT", "")], Gramext.action (fun (i : string) (loc : Lexing.position * Lexing.position) -> (Ident (i, None) : 'bound_name))]]; Grammar.Entry.obj (bound_names : 'bound_names Grammar.Entry.e), None, [None, None, [[Gramext.Slist1 (Gramext.srules [[Gramext.Stoken ("SYMBOL", "("); Gramext.Slist1sep (Gramext.Snterm (Grammar.Entry.obj (bound_name : 'bound_name Grammar.Entry.e)), Gramext.Stoken ("SYMBOL", ",")); Gramext.Sopt (Gramext.srules [[Gramext.Stoken ("SYMBOL", ":"); Gramext.Snterm (Grammar.Entry.obj (l2_pattern : 'l2_pattern Grammar.Entry.e))], Gramext.action (fun (p : 'l2_pattern) _ (loc : Lexing.position * Lexing.position) -> (p : 'e__3))]); Gramext.Stoken ("SYMBOL", ")")], Gramext.action (fun _ (ty : 'e__3 option) (vars : 'bound_name list) _ (loc : Lexing.position * Lexing.position) -> (vars, ty : 'e__4))])], Gramext.action (fun (clusters : 'e__4 list) (loc : Lexing.position * Lexing.position) -> (clusters : 'bound_names)); [Gramext.Slist1sep (Gramext.Snterm (Grammar.Entry.obj (bound_name : 'bound_name Grammar.Entry.e)), Gramext.Stoken ("SYMBOL", ",")); Gramext.Sopt (Gramext.srules [[Gramext.Stoken ("SYMBOL", ":"); Gramext.Snterm (Grammar.Entry.obj (l2_pattern : 'l2_pattern Grammar.Entry.e))], Gramext.action (fun (p : 'l2_pattern) _ (loc : Lexing.position * Lexing.position) -> (p : 'e__2))])], Gramext.action (fun (ty : 'e__2 option) (vars : 'bound_name list) (loc : Lexing.position * Lexing.position) -> ([vars, ty] : 'bound_names))]]; Grammar.Entry.obj (induction_kind : 'induction_kind Grammar.Entry.e), None, [None, None, [[Gramext.Stoken ("IDENT", "corec")], Gramext.action (fun _ (loc : Lexing.position * Lexing.position) -> (`CoInductive : 'induction_kind)); [Gramext.Stoken ("IDENT", "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 (bound_name : 'bound_name Grammar.Entry.e)); Gramext.Snterm (Grammar.Entry.obj (bound_names : 'bound_names Grammar.Entry.e)); Gramext.Sopt (Gramext.srules [[Gramext.Stoken ("IDENT", "on"); Gramext.Snterm (Grammar.Entry.obj (bound_name : 'bound_name Grammar.Entry.e))], Gramext.action (fun (id : 'bound_name) _ (loc : Lexing.position * Lexing.position) -> (id : 'e__5))]); Gramext.Sopt (Gramext.srules [[Gramext.Stoken ("SYMBOL", ":"); Gramext.Snterm (Grammar.Entry.obj (l2_pattern : 'l2_pattern Grammar.Entry.e))], Gramext.action (fun (p : 'l2_pattern) _ (loc : Lexing.position * Lexing.position) -> (p : 'e__6))]); Gramext.Stoken ("SYMBOL", "≝"); Gramext.Snterm (Grammar.Entry.obj (l2_pattern : 'l2_pattern Grammar.Entry.e))], Gramext.action (fun (body : 'l2_pattern) _ (ty : 'e__6 option) (index_name : 'e__5 option) (args : 'bound_names) (name : 'bound_name) (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 [] -> 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 name -> find_arg name 0 args in (name, ty), body, index : 'e__7))], Gramext.Stoken ("IDENT", "and"))], Gramext.action (fun (defs : 'e__7 list) (loc : Lexing.position * Lexing.position) -> (defs : 'let_defs))]]; Grammar.Entry.obj (l2_pattern_variable : 'l2_pattern_variable Grammar.Entry.e), None, [None, None, [[Gramext.Stoken ("SYMBOL", "\\FRESH"); Gramext.Stoken ("IDENT", "")], Gramext.action (fun (id : string) _ (loc : Lexing.position * Lexing.position) -> (FreshVar id : 'l2_pattern_variable)); [Gramext.Stoken ("SYMBOL", "\\IDENT"); Gramext.Stoken ("IDENT", "")], Gramext.action (fun (id : string) _ (loc : Lexing.position * Lexing.position) -> (IdentVar id : 'l2_pattern_variable)); [Gramext.Stoken ("SYMBOL", "\\NUM"); Gramext.Stoken ("IDENT", "")], Gramext.action (fun (id : string) _ (loc : Lexing.position * Lexing.position) -> (NumVar id : 'l2_pattern_variable))]]; Grammar.Entry.obj (l2_magic_pattern : 'l2_magic_pattern Grammar.Entry.e), None, [None, None, [[Gramext.Stoken ("SYMBOL", "\\DEFAULT"); Gramext.Stoken ("DELIM", "\\["); Gramext.Snterm (Grammar.Entry.obj (l2_pattern : 'l2_pattern Grammar.Entry.e)); Gramext.Stoken ("DELIM", "\\]"); Gramext.Stoken ("DELIM", "\\["); Gramext.Snterm (Grammar.Entry.obj (l2_pattern : 'l2_pattern Grammar.Entry.e)); Gramext.Stoken ("DELIM", "\\]")], Gramext.action (fun _ (none : 'l2_pattern) _ _ (some : 'l2_pattern) _ _ (loc : Lexing.position * Lexing.position) -> (Default (some, none) : 'l2_magic_pattern)); [Gramext.Stoken ("SYMBOL", "\\FOLD"); Gramext.srules [[Gramext.Stoken ("IDENT", "right")], Gramext.action (fun _ (loc : Lexing.position * Lexing.position) -> (`Right : 'e__8)); [Gramext.Stoken ("IDENT", "left")], Gramext.action (fun _ (loc : Lexing.position * Lexing.position) -> (`Left : 'e__8))]; Gramext.Stoken ("DELIM", "\\["); Gramext.Snterm (Grammar.Entry.obj (l2_pattern : 'l2_pattern Grammar.Entry.e)); Gramext.Stoken ("DELIM", "\\]"); Gramext.Stoken ("SYMBOL", "\\LAMBDA"); Gramext.Stoken ("IDENT", ""); Gramext.Stoken ("DELIM", "\\["); Gramext.Snterm (Grammar.Entry.obj (l2_pattern : 'l2_pattern Grammar.Entry.e)); Gramext.Stoken ("DELIM", "\\]")], Gramext.action (fun _ (recursive : 'l2_pattern) _ (id : string) _ _ (base : 'l2_pattern) _ (kind : 'e__8) _ (loc : Lexing.position * Lexing.position) -> (Fold (kind, base, [id], recursive) : 'l2_magic_pattern))]]; Grammar.Entry.obj (l2_pattern : 'l2_pattern Grammar.Entry.e), Some (Gramext.Level "10"), [Some "10", Some Gramext.NonA, [[Gramext.Stoken ("IDENT", "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 ("IDENT", "in"); Gramext.Sself], Gramext.action (fun (body : 'l2_pattern) _ (defs : 'let_defs) (k : 'induction_kind) _ (loc : Lexing.position * Lexing.position) -> (return_term loc (LetRec (k, defs, body)) : 'l2_pattern)); [Gramext.Stoken ("IDENT", "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 : 'l2_pattern) _ (p1 : 'l2_pattern) _ (var : 'possibly_typed_name) _ (loc : Lexing.position * Lexing.position) -> (return_term loc (LetIn (var, p1, p2)) : 'l2_pattern))]]; Grammar.Entry.obj (l2_pattern : 'l2_pattern Grammar.Entry.e), Some (Gramext.Level "20"), [Some "20", Some Gramext.RightA, [[Gramext.Snterm (Grammar.Entry.obj (binder : 'binder Grammar.Entry.e)); Gramext.Snterm (Grammar.Entry.obj (bound_names : 'bound_names Grammar.Entry.e)); Gramext.Stoken ("SYMBOL", "."); Gramext.Sself], Gramext.action (fun (body : 'l2_pattern) _ (names : 'bound_names) (b : 'binder) (loc : Lexing.position * Lexing.position) -> (return_term loc (fold_binder b names body) : 'l2_pattern))]]; Grammar.Entry.obj (l2_pattern : 'l2_pattern Grammar.Entry.e), Some (Gramext.Level "70"), [Some "70", Some Gramext.LeftA, [[Gramext.Sself; Gramext.Sself], Gramext.action (fun (p2 : 'l2_pattern) (p1 : 'l2_pattern) (loc : Lexing.position * Lexing.position) -> (let rec aux = function Appl (hd :: tl) | AttributedTerm (_, Appl (hd :: tl)) -> aux hd @ tl | term -> [term] in return_term loc (Appl (aux p1 @ [p2])) : 'l2_pattern))]]; Grammar.Entry.obj (l2_pattern : 'l2_pattern Grammar.Entry.e), Some (Gramext.Level "90"), [Some "90", Some Gramext.NonA, [[Gramext.Snterm (Grammar.Entry.obj (l2_magic_pattern : 'l2_magic_pattern Grammar.Entry.e))], Gramext.action (fun (m : 'l2_magic_pattern) (loc : Lexing.position * Lexing.position) -> (return_term loc (Magic m) : 'l2_pattern)); [Gramext.Snterm (Grammar.Entry.obj (l2_pattern_variable : 'l2_pattern_variable Grammar.Entry.e))], Gramext.action (fun (v : 'l2_pattern_variable) (loc : Lexing.position * Lexing.position) -> (return_term loc (Variable v) : 'l2_pattern)); [Gramext.Stoken ("SYMBOL", "("); Gramext.Sself; Gramext.Stoken ("SYMBOL", ")")], Gramext.action (fun _ (p : 'l2_pattern) _ (loc : Lexing.position * Lexing.position) -> (p : 'l2_pattern)); [Gramext.Stoken ("SYMBOL", "("); Gramext.Sself; Gramext.Stoken ("SYMBOL", ":"); Gramext.Sself; Gramext.Stoken ("SYMBOL", ")")], Gramext.action (fun _ (p2 : 'l2_pattern) _ (p1 : 'l2_pattern) _ (loc : Lexing.position * Lexing.position) -> (return_term loc (Appl [Symbol ("cast", 0); p1; p2]) : 'l2_pattern)); [Gramext.Sopt (Gramext.srules [[Gramext.Stoken ("SYMBOL", "["); Gramext.Snterm (Grammar.Entry.obj (l2_pattern : 'l2_pattern Grammar.Entry.e)); Gramext.Stoken ("SYMBOL", "]")], Gramext.action (fun _ (ty : 'l2_pattern) _ (loc : Lexing.position * Lexing.position) -> (ty : 'e__9))]); Gramext.Stoken ("IDENT", "match"); Gramext.Sself; Gramext.Sopt (Gramext.srules [[Gramext.Stoken ("SYMBOL", ":"); Gramext.Stoken ("IDENT", "")], Gramext.action (fun (id : string) _ (loc : Lexing.position * Lexing.position) -> (id : 'e__10))]); Gramext.Stoken ("IDENT", "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 (l2_pattern : 'l2_pattern Grammar.Entry.e))], Gramext.action (fun (rhs : 'l2_pattern) _ (lhs : 'match_pattern) (loc : Lexing.position * Lexing.position) -> (lhs, rhs : 'e__11))], Gramext.Stoken ("SYMBOL", "|")); Gramext.Stoken ("SYMBOL", "]")], Gramext.action (fun _ (patterns : 'e__11 list) _ _ (indty_ident : 'e__10 option) (t : 'l2_pattern) _ (outtyp : 'e__9 option) (loc : Lexing.position * Lexing.position) -> (return_term loc (Case (t, indty_ident, outtyp, patterns)) : 'l2_pattern)); [Gramext.Snterm (Grammar.Entry.obj (sort : 'sort Grammar.Entry.e))], Gramext.action (fun (s : 'sort) (loc : Lexing.position * Lexing.position) -> (return_term loc (Sort s) : 'l2_pattern)); [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 (Meta (int_of_string m, s)) : 'l2_pattern)); [Gramext.Stoken ("META", "")], Gramext.action (fun (m : string) (loc : Lexing.position * Lexing.position) -> (return_term loc (Meta (int_of_string m, [])) : 'l2_pattern)); [Gramext.Stoken ("IMPLICIT", "")], Gramext.action (fun _ (loc : Lexing.position * Lexing.position) -> (return_term loc Implicit : 'l2_pattern)); [Gramext.Stoken ("NUMBER", "")], Gramext.action (fun (n : string) (loc : Lexing.position * Lexing.position) -> (return_term loc (Num (n, 0)) : 'l2_pattern)); [Gramext.Stoken ("URI", "")], Gramext.action (fun (u : string) (loc : Lexing.position * Lexing.position) -> (return_term loc (Uri (u, None)) : 'l2_pattern)); [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 (Ident (id, Some s)) : 'l2_pattern)); [Gramext.Stoken ("IDENT", "")], Gramext.action (fun (id : string) (loc : Lexing.position * Lexing.position) -> (return_term loc (Ident (id, None)) : 'l2_pattern))]]; Grammar.Entry.obj (argument : 'argument Grammar.Entry.e), None, [None, None, [[Gramext.Stoken ("SYMBOL", "η"); Gramext.Stoken ("IDENT", ""); Gramext.Stoken ("SYMBOL", "."); Gramext.Sself], Gramext.action (fun (a : 'argument) _ (id : string) _ (loc : Lexing.position * Lexing.position) -> (EtaArg (Some id, a) : 'argument)); [Gramext.Stoken ("SYMBOL", "η"); Gramext.Stoken ("SYMBOL", "."); Gramext.Sself], Gramext.action (fun (a : 'argument) _ _ (loc : Lexing.position * Lexing.position) -> (EtaArg (None, a) : 'argument)); [Gramext.Stoken ("IDENT", "")], Gramext.action (fun (id : string) (loc : Lexing.position * Lexing.position) -> (IdentArg id : 'argument))]]; Grammar.Entry.obj (level3_term : 'level3_term Grammar.Entry.e), None, [None, None, [[Gramext.Stoken ("SYMBOL", "("); Gramext.Slist1 Gramext.Sself; Gramext.Stoken ("SYMBOL", ")")], Gramext.action (fun _ (terms : 'level3_term list) _ (loc : Lexing.position * Lexing.position) -> (match terms with [] -> assert false | [term] -> term | terms -> ApplPattern terms : 'level3_term)); [Gramext.Snterm (Grammar.Entry.obj (argument : 'argument Grammar.Entry.e))], Gramext.action (fun (a : 'argument) (loc : Lexing.position * Lexing.position) -> (ArgPattern a : 'level3_term)); [Gramext.Stoken ("URI", "")], Gramext.action (fun (u : string) (loc : Lexing.position * Lexing.position) -> (UriPattern u : 'level3_term))]]; Grammar.Entry.obj (associativity : 'associativity Grammar.Entry.e), None, [None, None, [[Gramext.Stoken ("IDENT", "non"); Gramext.Stoken ("IDENT", "associative")], Gramext.action (fun _ _ (loc : Lexing.position * Lexing.position) -> (Gramext.NonA : 'associativity)); [Gramext.Stoken ("IDENT", "right"); Gramext.Stoken ("IDENT", "associative")], Gramext.action (fun _ _ (loc : Lexing.position * Lexing.position) -> (Gramext.RightA : 'associativity)); [Gramext.Stoken ("IDENT", "left"); Gramext.Stoken ("IDENT", "associative")], Gramext.action (fun _ _ (loc : Lexing.position * Lexing.position) -> (Gramext.LeftA : 'associativity))]]; Grammar.Entry.obj (precedence : 'precedence Grammar.Entry.e), None, [None, None, [[Gramext.Stoken ("IDENT", "with"); Gramext.Stoken ("IDENT", "precedence"); Gramext.Stoken ("NUMBER", "")], Gramext.action (fun (n : string) _ _ (loc : Lexing.position * Lexing.position) -> (int_of_string n : 'precedence))]]; Grammar.Entry.obj (notation : 'notation Grammar.Entry.e), None, [None, None, [[Gramext.Stoken ("IDENT", "notation"); Gramext.Snterm (Grammar.Entry.obj (level1_pattern : 'level1_pattern Grammar.Entry.e)); Gramext.Sopt (Gramext.Snterm (Grammar.Entry.obj (associativity : 'associativity Grammar.Entry.e))); Gramext.Sopt (Gramext.Snterm (Grammar.Entry.obj (precedence : 'precedence Grammar.Entry.e))); Gramext.Stoken ("IDENT", "for"); Gramext.Snterm (Grammar.Entry.obj (level2_pattern : 'level2_pattern Grammar.Entry.e))], Gramext.action (fun (p2 : 'level2_pattern) _ (prec : 'precedence option) (assoc : 'associativity option) (p1 : 'level1_pattern) _ (loc : Lexing.position * Lexing.position) -> (p1, assoc, prec, p2 : 'notation))]]; Grammar.Entry.obj (interpretation : 'interpretation Grammar.Entry.e), None, [None, None, [[Gramext.Stoken ("IDENT", "interpretation"); Gramext.Stoken ("SYMBOL", ""); Gramext.Slist1 (Gramext.Snterm (Grammar.Entry.obj (argument : 'argument Grammar.Entry.e))); Gramext.Stoken ("IDENT", "as"); Gramext.Snterm (Grammar.Entry.obj (level3_term : 'level3_term Grammar.Entry.e))], Gramext.action (fun (t : 'level3_term) _ (args : 'argument list) (s : string) _ (loc : Lexing.position * Lexing.position) -> (() : 'interpretation))]]; Grammar.Entry.obj (phrase : 'phrase Grammar.Entry.e), None, [None, None, [[Gramext.Snterm (Grammar.Entry.obj (notation : 'notation Grammar.Entry.e)); Gramext.Stoken ("SYMBOL", ".")], Gramext.action (fun _ (l1, assoc, prec, l2 : 'notation) (loc : Lexing.position * Lexing.position) -> (Notation (l1, assoc, prec, l2) : 'phrase)); [Gramext.Stoken ("IDENT", "print"); Gramext.Snterm (Grammar.Entry.obj (level2_pattern : 'level2_pattern Grammar.Entry.e)); Gramext.Stoken ("SYMBOL", ".")], Gramext.action (fun _ (p2 : 'level2_pattern) _ (loc : Lexing.position * Lexing.position) -> (Print p2 : 'phrase))]]]) (** {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_syntax_pattern stream = exc_located_wrapper (fun () -> Grammar.Entry.parse level1_pattern stream) let parse_ast_pattern stream = exc_located_wrapper (fun () -> Grammar.Entry.parse level2_pattern stream) let parse_interpretation stream = exc_located_wrapper (fun () -> Grammar.Entry.parse level3_term stream) let parse_phrase stream = exc_located_wrapper (fun () -> Grammar.Entry.parse phrase stream) (** {2 Debugging} *) let print_l2_pattern () = Grammar.print_entry Format.std_formatter (Grammar.Entry.obj l2_pattern); Format.pp_print_flush Format.std_formatter (); flush stdout (* vim:set encoding=utf8 foldmethod=marker: *)