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+(************************************************************************)
+(* * The Coq Proof Assistant / The Coq Development Team *)
+(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *)
+(* <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 Util
+open CErrors
+open Names
+open Libnames
+open Constrexpr
+open Extend
+open Notation_gram
+open Pcoq
+
+(**********************************************************************)
+(* This determines (depending on the associativity of the current
+ level and on the expected associativity) if a reference to constr_n is
+ a reference to the current level (to be translated into "SELF" on the
+ left border and into "constr LEVEL n" elsewhere), to the level below
+ (to be translated into "NEXT") or to an below wrt associativity (to be
+ translated in camlp5 into "constr" without level) or to another level
+ (to be translated into "constr LEVEL n")
+
+ The boolean is true if the entry was existing _and_ empty; this to
+ circumvent a weakness of camlp5 whose undo mechanism is not the
+ converse of the extension mechanism *)
+
+let constr_level = string_of_int
+
+let default_levels =
+ [200,Extend.RightA,false;
+ 100,Extend.RightA,false;
+ 99,Extend.RightA,true;
+ 90,Extend.RightA,true;
+ 10,Extend.LeftA,false;
+ 9,Extend.RightA,false;
+ 8,Extend.RightA,true;
+ 1,Extend.LeftA,false;
+ 0,Extend.RightA,false]
+
+let default_pattern_levels =
+ [200,Extend.RightA,true;
+ 100,Extend.RightA,false;
+ 99,Extend.RightA,true;
+ 90,Extend.RightA,true;
+ 10,Extend.LeftA,false;
+ 1,Extend.LeftA,false;
+ 0,Extend.RightA,false]
+
+let default_constr_levels = (default_levels, default_pattern_levels)
+
+let find_levels levels = function
+ | InConstrEntry -> levels, String.Map.find "constr" levels
+ | InCustomEntry s ->
+ try levels, String.Map.find s levels
+ with Not_found ->
+ String.Map.add s ([],[]) levels, ([],[])
+
+let save_levels levels custom lev =
+ let s = match custom with InConstrEntry -> "constr" | InCustomEntry s -> s in
+ String.Map.add s lev levels
+
+(* At a same level, LeftA takes precedence over RightA and NoneA *)
+(* In case, several associativity exists for a level, we make two levels, *)
+(* first LeftA, then RightA and NoneA together *)
+
+let admissible_assoc = function
+ | Extend.LeftA, Some (Extend.RightA | Extend.NonA) -> false
+ | Extend.RightA, Some Extend.LeftA -> false
+ | _ -> true
+
+let create_assoc = function
+ | None -> Extend.RightA
+ | Some a -> a
+
+let error_level_assoc p current expected =
+ let open Pp in
+ let pr_assoc = function
+ | Extend.LeftA -> str "left"
+ | Extend.RightA -> str "right"
+ | Extend.NonA -> str "non" in
+ user_err
+ (str "Level " ++ int p ++ str " is already declared " ++
+ pr_assoc current ++ str " associative while it is now expected to be " ++
+ pr_assoc expected ++ str " associative.")
+
+let create_pos = function
+ | None -> Extend.First
+ | Some lev -> Extend.After (constr_level lev)
+
+let find_position_gen current ensure assoc lev =
+ match lev with
+ | None ->
+ current, (None, None, None, None)
+ | Some n ->
+ let after = ref None in
+ let init = ref None in
+ let rec add_level q = function
+ | (p,_,_ as pa)::l when p > n -> pa :: add_level (Some p) l
+ | (p,a,reinit)::l when Int.equal p n ->
+ if reinit then
+ let a' = create_assoc assoc in
+ (init := Some (a',create_pos q); (p,a',false)::l)
+ else if admissible_assoc (a,assoc) then
+ raise Exit
+ else
+ error_level_assoc p a (Option.get assoc)
+ | l -> after := q; (n,create_assoc assoc,ensure)::l
+ in
+ try
+ let updated = add_level None current in
+ let assoc = create_assoc assoc in
+ begin match !init with
+ | None ->
+ (* Create the entry *)
+ updated, (Some (create_pos !after), Some assoc, Some (constr_level n), None)
+ | _ ->
+ (* The reinit flag has been updated *)
+ updated, (Some (Extend.Level (constr_level n)), None, None, !init)
+ end
+ with
+ (* Nothing has changed *)
+ Exit ->
+ (* Just inherit the existing associativity and name (None) *)
+ current, (Some (Extend.Level (constr_level n)), None, None, None)
+
+let rec list_mem_assoc_triple x = function
+ | [] -> false
+ | (a,b,c) :: l -> Int.equal a x || list_mem_assoc_triple x l
+
+let register_empty_levels accu forpat levels =
+ let rec filter accu = function
+ | [] -> ([], accu)
+ | (where,n) :: rem ->
+ let rem, accu = filter accu rem in
+ let accu, (clev, plev) = find_levels accu where in
+ let levels = if forpat then plev else clev in
+ if not (list_mem_assoc_triple n levels) then
+ let nlev, ans = find_position_gen levels true None (Some n) in
+ let nlev = if forpat then (clev, nlev) else (nlev, plev) in
+ (where, ans) :: rem, save_levels accu where nlev
+ else rem, accu
+ in
+ filter accu levels
+
+let find_position accu custom forpat assoc level =
+ let accu, (clev, plev) = find_levels accu custom in
+ let levels = if forpat then plev else clev in
+ let nlev, ans = find_position_gen levels false assoc level in
+ let nlev = if forpat then (clev, nlev) else (nlev, plev) in
+ (ans, save_levels accu custom nlev)
+
+(**************************************************************************)
+(*
+ * --- Note on the mapping of grammar productions to camlp5 actions ---
+ *
+ * Translation of environments: a production
+ * [ nt1(x1) ... nti(xi) ] -> act(x1..xi)
+ * is written (with camlp5 conventions):
+ * (fun vi -> .... (fun v1 -> act(v1 .. vi) )..)
+ * where v1..vi are the values generated by non-terminals nt1..nti.
+ * Since the actions are executed by substituting an environment,
+ * the make_*_action family build the following closure:
+ *
+ * ((fun env ->
+ * (fun vi ->
+ * (fun env -> ...
+ *
+ * (fun v1 ->
+ * (fun env -> gram_action .. env act)
+ * ((x1,v1)::env))
+ * ...)
+ * ((xi,vi)::env)))
+ * [])
+ *)
+
+(**********************************************************************)
+(** Declare Notations grammar rules *)
+
+(**********************************************************************)
+(* Binding constr entry keys to entries *)
+
+(* Camlp5 levels do not treat NonA: use RightA with a NEXT on the left *)
+let camlp5_assoc = function
+ | Some NonA | Some RightA -> RightA
+ | None | Some LeftA -> LeftA
+
+let assoc_eq al ar = match al, ar with
+| NonA, NonA
+| RightA, RightA
+| LeftA, LeftA -> true
+| _, _ -> false
+
+(* [adjust_level assoc from prod] where [assoc] and [from] are the name
+ and associativity of the level where to add the rule; the meaning of
+ the result is
+
+ None = SELF
+ Some None = NEXT
+ Some (Some (n,cur)) = constr LEVEL n
+ s.t. if [cur] is set then [n] is the same as the [from] level *)
+let adjust_level assoc from = function
+(* Associativity is None means force the level *)
+ | (NumLevel n,BorderProd (_,None)) -> Some (Some (n,true))
+(* Compute production name on the right side *)
+ (* If NonA or LeftA on the right-hand side, set to NEXT *)
+ | (NumLevel n,BorderProd (Right,Some (NonA|LeftA))) ->
+ Some None
+ (* If RightA on the right-hand side, set to the explicit (current) level *)
+ | (NumLevel n,BorderProd (Right,Some RightA)) ->
+ Some (Some (n,true))
+(* Compute production name on the left side *)
+ (* If NonA on the left-hand side, adopt the current assoc ?? *)
+ | (NumLevel n,BorderProd (Left,Some NonA)) -> None
+ (* If the expected assoc is the current one, set to SELF *)
+ | (NumLevel n,BorderProd (Left,Some a)) when assoc_eq a (camlp5_assoc assoc) ->
+ None
+ (* Otherwise, force the level, n or n-1, according to expected assoc *)
+ | (NumLevel n,BorderProd (Left,Some a)) ->
+ begin match a with
+ | LeftA -> Some (Some (n, true))
+ | _ -> Some None
+ end
+ (* None means NEXT *)
+ | (NextLevel,_) -> Some None
+(* Compute production name elsewhere *)
+ | (NumLevel n,InternalProd) ->
+ if from = n + 1 then Some None else Some (Some (n, Int.equal n from))
+
+type _ target =
+| ForConstr : constr_expr target
+| ForPattern : cases_pattern_expr target
+
+type prod_info = production_level * production_position
+
+type (_, _) entry =
+| TTName : ('self, lname) entry
+| TTReference : ('self, qualid) entry
+| TTBigint : ('self, Constrexpr.raw_natural_number) entry
+| TTConstr : notation_entry * prod_info * 'r target -> ('r, 'r) entry
+| TTConstrList : prod_info * Tok.t list * 'r target -> ('r, 'r list) entry
+| TTPattern : int -> ('self, cases_pattern_expr) entry
+| TTOpenBinderList : ('self, local_binder_expr list) entry
+| TTClosedBinderList : Tok.t list -> ('self, local_binder_expr list list) entry
+
+type _ any_entry = TTAny : ('s, 'r) entry -> 's any_entry
+
+let constr_custom_entry : (string, Constrexpr.constr_expr) entry_command =
+ create_entry_command "constr" (fun s st -> [s], st)
+let pattern_custom_entry : (string, Constrexpr.cases_pattern_expr) entry_command =
+ create_entry_command "pattern" (fun s st -> [s], st)
+
+let custom_entry_locality = Summary.ref ~name:"LOCAL-CUSTOM-ENTRY" String.Set.empty
+(** If the entry is present then local *)
+
+let create_custom_entry ~local s =
+ if List.mem s ["constr";"pattern";"ident";"global";"binder";"bigint"] then
+ user_err Pp.(quote (str s) ++ str " is a reserved entry name.");
+ let sc = "constr:"^s in
+ let sp = "pattern:"^s in
+ let _ = extend_entry_command constr_custom_entry sc in
+ let _ = extend_entry_command pattern_custom_entry sp in
+ let () = if local then custom_entry_locality := String.Set.add s !custom_entry_locality in
+ ()
+
+let find_custom_entry s =
+ let sc = "constr:"^s in
+ let sp = "pattern:"^s in
+ try (find_custom_entry constr_custom_entry sc, find_custom_entry pattern_custom_entry sp)
+ with Not_found -> user_err Pp.(str "Undeclared custom entry: " ++ str s ++ str ".")
+
+let locality_of_custom_entry s = String.Set.mem s !custom_entry_locality
+
+(* This computes the name of the level where to add a new rule *)
+let interp_constr_entry_key : type r. _ -> r target -> int -> r Entry.t * int option =
+ fun custom forpat level ->
+ match custom with
+ | InCustomEntry s ->
+ (let (entry_for_constr, entry_for_patttern) = find_custom_entry s in
+ match forpat with
+ | ForConstr -> entry_for_constr, Some level
+ | ForPattern -> entry_for_patttern, Some level)
+ | InConstrEntry ->
+ match forpat with
+ | ForConstr ->
+ if level = 200 then Constr.binder_constr, None
+ else Constr.operconstr, Some level
+ | ForPattern -> Constr.pattern, Some level
+
+let target_entry : type s. notation_entry -> s target -> s Entry.t = function
+| InConstrEntry ->
+ (function
+ | ForConstr -> Constr.operconstr
+ | ForPattern -> Constr.pattern)
+| InCustomEntry s ->
+ let (entry_for_constr, entry_for_patttern) = find_custom_entry s in
+ function
+ | ForConstr -> entry_for_constr
+ | ForPattern -> entry_for_patttern
+
+let is_self from e = match e with
+| (NumLevel n, BorderProd (Right, _ (* Some(NonA|LeftA) *))) -> false
+| (NumLevel n, BorderProd (Left, _)) -> Int.equal from n
+| _ -> false
+
+let is_binder_level from e = match e with
+| (NumLevel 200, (BorderProd (Right, _) | InternalProd)) -> from = 200
+| _ -> false
+
+let make_sep_rules = function
+ | [tk] -> Atoken tk
+ | tkl ->
+ let rec mkrule : Tok.t list -> string rules = function
+ | [] -> Rules ({ norec_rule = Stop }, fun _ -> (* dropped anyway: *) "")
+ | tkn :: rem ->
+ let Rules ({ norec_rule = r }, f) = mkrule rem in
+ let r = { norec_rule = Next (r, Atoken tkn) } in
+ Rules (r, fun _ -> f)
+ in
+ let r = mkrule (List.rev tkl) in
+ Arules [r]
+
+let symbol_of_target : type s. _ -> _ -> _ -> _ -> s target -> (s, s) symbol = fun custom p assoc from forpat ->
+ if custom = InConstrEntry && is_binder_level from p then Aentryl (target_entry InConstrEntry forpat, "200")
+ else if is_self from p then Aself
+ else
+ let g = target_entry custom forpat in
+ let lev = adjust_level assoc from p in
+ begin match lev with
+ | None -> Aentry g
+ | Some None -> Anext
+ | Some (Some (lev, cur)) -> Aentryl (g, string_of_int lev)
+ end
+
+let symbol_of_entry : type s r. _ -> _ -> (s, r) entry -> (s, r) symbol = fun assoc from typ -> match typ with
+| TTConstr (s, p, forpat) -> symbol_of_target s p assoc from forpat
+| TTConstrList (typ', [], forpat) ->
+ Alist1 (symbol_of_target InConstrEntry typ' assoc from forpat)
+| TTConstrList (typ', tkl, forpat) ->
+ Alist1sep (symbol_of_target InConstrEntry typ' assoc from forpat, make_sep_rules tkl)
+| TTPattern p -> Aentryl (Constr.pattern, string_of_int p)
+| TTClosedBinderList [] -> Alist1 (Aentry Constr.binder)
+| TTClosedBinderList tkl -> Alist1sep (Aentry Constr.binder, make_sep_rules tkl)
+| TTName -> Aentry Prim.name
+| TTOpenBinderList -> Aentry Constr.open_binders
+| TTBigint -> Aentry Prim.bigint
+| TTReference -> Aentry Constr.global
+
+let interp_entry forpat e = match e with
+| ETProdName -> TTAny TTName
+| ETProdReference -> TTAny TTReference
+| ETProdBigint -> TTAny TTBigint
+| ETProdConstr (s,p) -> TTAny (TTConstr (s, p, forpat))
+| ETProdPattern p -> TTAny (TTPattern p)
+| ETProdConstrList (p, tkl) -> TTAny (TTConstrList (p, tkl, forpat))
+| ETProdBinderList ETBinderOpen -> TTAny TTOpenBinderList
+| ETProdBinderList (ETBinderClosed tkl) -> TTAny (TTClosedBinderList tkl)
+
+let cases_pattern_expr_of_name { CAst.loc; v = na } = CAst.make ?loc @@ match na with
+ | Anonymous -> CPatAtom None
+ | Name id -> CPatAtom (Some (qualid_of_ident ?loc id))
+
+type 'r env = {
+ constrs : 'r list;
+ constrlists : 'r list list;
+ binders : cases_pattern_expr list;
+ binderlists : local_binder_expr list list;
+}
+
+let push_constr subst v = { subst with constrs = v :: subst.constrs }
+
+let push_item : type s r. s target -> (s, r) entry -> s env -> r -> s env = fun forpat e subst v ->
+match e with
+| TTConstr _ -> push_constr subst v
+| TTName ->
+ begin match forpat with
+ | ForConstr -> { subst with binders = cases_pattern_expr_of_name v :: subst.binders }
+ | ForPattern -> push_constr subst (cases_pattern_expr_of_name v)
+ end
+| TTPattern _ ->
+ begin match forpat with
+ | ForConstr -> { subst with binders = v :: subst.binders }
+ | ForPattern -> push_constr subst v
+ end
+| TTOpenBinderList -> { subst with binderlists = v :: subst.binderlists }
+| TTClosedBinderList _ -> { subst with binderlists = List.flatten v :: subst.binderlists }
+| TTBigint ->
+ begin match forpat with
+ | ForConstr -> push_constr subst (CAst.make @@ CPrim (Numeral (v,true)))
+ | ForPattern -> push_constr subst (CAst.make @@ CPatPrim (Numeral (v,true)))
+ end
+| TTReference ->
+ begin match forpat with
+ | ForConstr -> push_constr subst (CAst.make @@ CRef (v, None))
+ | ForPattern -> push_constr subst (CAst.make @@ CPatAtom (Some v))
+ end
+| TTConstrList _ -> { subst with constrlists = v :: subst.constrlists }
+
+type (_, _) ty_symbol =
+| TyTerm : Tok.t -> ('s, string) ty_symbol
+| TyNonTerm : 's target * ('s, 'a) entry * ('s, 'a) symbol * bool -> ('s, 'a) ty_symbol
+
+type ('self, _, 'r) ty_rule =
+| TyStop : ('self, 'r, 'r) ty_rule
+| TyNext : ('self, 'a, 'r) ty_rule * ('self, 'b) ty_symbol -> ('self, 'b -> 'a, 'r) ty_rule
+| TyMark : int * bool * int * ('self, 'a, 'r) ty_rule -> ('self, 'a, 'r) ty_rule
+
+type 'r gen_eval = Loc.t -> 'r env -> 'r
+
+let rec ty_eval : type s a. (s, a, Loc.t -> s) ty_rule -> s gen_eval -> s env -> a = function
+| TyStop ->
+ fun f env loc -> f loc env
+| TyNext (rem, TyTerm _) ->
+ fun f env _ -> ty_eval rem f env
+| TyNext (rem, TyNonTerm (_, _, _, false)) ->
+ fun f env _ -> ty_eval rem f env
+| TyNext (rem, TyNonTerm (forpat, e, _, true)) ->
+ fun f env v ->
+ ty_eval rem f (push_item forpat e env v)
+| TyMark (n, b, p, rem) ->
+ fun f env ->
+ let heads, constrs = List.chop n env.constrs in
+ let constrlists, constrs =
+ if b then
+ (* We rearrange constrs = c1..cn rem and constrlists = [d1..dr e1..ep] rem' into
+ constrs = e1..ep rem and constrlists [c1..cn d1..dr] rem' *)
+ let constrlist = List.hd env.constrlists in
+ let constrlist, tail = List.chop (List.length constrlist - p) constrlist in
+ (heads @ constrlist) :: List.tl env.constrlists, tail @ constrs
+ else
+ (* We rearrange constrs = c1..cn e1..ep rem into
+ constrs = e1..ep rem and add a constr list [c1..cn] *)
+ let constrlist, tail = List.chop (n - p) heads in
+ constrlist :: env.constrlists, tail @ constrs
+ in
+ ty_eval rem f { env with constrs; constrlists; }
+
+let rec ty_erase : type s a r. (s, a, r) ty_rule -> (s, a, r) Extend.rule = function
+| TyStop -> Stop
+| TyMark (_, _, _, r) -> ty_erase r
+| TyNext (rem, TyTerm tok) -> Next (ty_erase rem, Atoken tok)
+| TyNext (rem, TyNonTerm (_, _, s, _)) -> Next (ty_erase rem, s)
+
+type ('self, 'r) any_ty_rule =
+| AnyTyRule : ('self, 'act, Loc.t -> 'r) ty_rule -> ('self, 'r) any_ty_rule
+
+let make_ty_rule assoc from forpat prods =
+ let rec make_ty_rule = function
+ | [] -> AnyTyRule TyStop
+ | GramConstrTerminal tok :: rem ->
+ let AnyTyRule r = make_ty_rule rem in
+ AnyTyRule (TyNext (r, TyTerm tok))
+ | GramConstrNonTerminal (e, var) :: rem ->
+ let AnyTyRule r = make_ty_rule rem in
+ let TTAny e = interp_entry forpat e in
+ let s = symbol_of_entry assoc from e in
+ let bind = match var with None -> false | Some _ -> true in
+ AnyTyRule (TyNext (r, TyNonTerm (forpat, e, s, bind)))
+ | GramConstrListMark (n, b, p) :: rem ->
+ let AnyTyRule r = make_ty_rule rem in
+ AnyTyRule (TyMark (n, b, p, r))
+ in
+ make_ty_rule (List.rev prods)
+
+let target_to_bool : type r. r target -> bool = function
+| ForConstr -> false
+| ForPattern -> true
+
+let prepare_empty_levels forpat (where,(pos,p4assoc,name,reinit)) =
+ let empty = (pos, [(name, p4assoc, [])]) in
+ ExtendRule (target_entry where forpat, reinit, empty)
+
+let rec pure_sublevels' custom assoc from forpat level = function
+| [] -> []
+| GramConstrNonTerminal (e,_) :: rem ->
+ let rem = pure_sublevels' custom assoc from forpat level rem in
+ let push where p rem =
+ match symbol_of_target custom p assoc from forpat with
+ | Aentryl (_,i) when level <> Some (int_of_string i) -> (where,int_of_string i) :: rem
+ | _ -> rem in
+ (match e with
+ | ETProdPattern i -> push InConstrEntry (NumLevel i,InternalProd) rem
+ | ETProdConstr (s,p) -> push s p rem
+ | _ -> rem)
+| (GramConstrTerminal _ | GramConstrListMark _) :: rem -> pure_sublevels' custom assoc from forpat level rem
+
+let make_act : type r. r target -> _ -> r gen_eval = function
+| ForConstr -> fun notation loc env ->
+ let env = (env.constrs, env.constrlists, env.binders, env.binderlists) in
+ CAst.make ~loc @@ CNotation (notation, env)
+| ForPattern -> fun notation loc env ->
+ let env = (env.constrs, env.constrlists) in
+ CAst.make ~loc @@ CPatNotation (notation, env, [])
+
+let extend_constr state forpat ng =
+ let custom,n,_,_ = ng.notgram_level in
+ let assoc = ng.notgram_assoc in
+ let (entry, level) = interp_constr_entry_key custom forpat n in
+ let fold (accu, state) pt =
+ let AnyTyRule r = make_ty_rule assoc n forpat pt in
+ let symbs = ty_erase r in
+ let pure_sublevels = pure_sublevels' custom assoc n forpat level pt in
+ let isforpat = target_to_bool forpat in
+ let needed_levels, state = register_empty_levels state isforpat pure_sublevels in
+ let (pos,p4assoc,name,reinit), state = find_position state custom isforpat assoc level in
+ let empty_rules = List.map (prepare_empty_levels forpat) needed_levels in
+ let empty = { constrs = []; constrlists = []; binders = []; binderlists = [] } in
+ let act = ty_eval r (make_act forpat ng.notgram_notation) empty in
+ let rule = (name, p4assoc, [Rule (symbs, act)]) in
+ let r = ExtendRule (entry, reinit, (pos, [rule])) in
+ (accu @ empty_rules @ [r], state)
+ in
+ List.fold_left fold ([], state) ng.notgram_prods
+
+let constr_levels = GramState.field ()
+
+let extend_constr_notation ng state =
+ let levels = match GramState.get state constr_levels with
+ | None -> String.Map.add "constr" default_constr_levels String.Map.empty
+ | Some lev -> lev
+ in
+ (* Add the notation in constr *)
+ let (r, levels) = extend_constr levels ForConstr ng in
+ (* Add the notation in cases_pattern *)
+ let (r', levels) = extend_constr levels ForPattern ng in
+ let state = GramState.set state constr_levels levels in
+ (r @ r', state)
+
+let constr_grammar : one_notation_grammar grammar_command =
+ create_grammar_command "Notation" extend_constr_notation
+
+let extend_constr_grammar ntn = extend_grammar_command constr_grammar ntn