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(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
(* $Id: notation.ml 9694 2007-03-09 18:09:53Z herbelin $ *)
(*i*)
open Util
open Pp
open Bigint
open Names
open Term
open Nametab
open Libnames
open Summary
open Rawterm
open Topconstr
open Ppextend
(*i*)
(*s A scope is a set of notations; it includes
- a set of ML interpreters/parsers for positive (e.g. 0, 1, 15, ...) and
negative numbers (e.g. -0, -2, -13, ...). These interpreters may
fail if a number has no interpretation in the scope (e.g. there is
no interpretation for negative numbers in [nat]); interpreters both for
terms and patterns can be set; these interpreters are in permanent table
[numeral_interpreter_tab]
- a set of ML printers for expressions denoting numbers parsable in
this scope
- a set of interpretations for infix (more generally distfix) notations
- an optional pair of delimiters which, when occurring in a syntactic
expression, set this scope to be the current scope
*)
(**********************************************************************)
(* Scope of symbols *)
type level = precedence * tolerability list
type delimiters = string
type notation_location = dir_path * string
type scope = {
notations: (string, interpretation * notation_location) Gmap.t;
delimiters: delimiters option
}
(* Uninterpreted notation map: notation -> level * dir_path *)
let notation_level_map = ref Gmap.empty
(* Scopes table: scope_name -> symbol_interpretation *)
let scope_map = ref Gmap.empty
let empty_scope = {
notations = Gmap.empty;
delimiters = None
}
let default_scope = "" (* empty name, not available from outside *)
let type_scope = "type_scope" (* special scope used for interpreting types *)
let init_scope_map () =
scope_map := Gmap.add default_scope empty_scope !scope_map;
scope_map := Gmap.add type_scope empty_scope !scope_map
(**********************************************************************)
(* Operations on scopes *)
let declare_scope scope =
try let _ = Gmap.find scope !scope_map in ()
with Not_found ->
(* Options.if_verbose message ("Creating scope "^scope);*)
scope_map := Gmap.add scope empty_scope !scope_map
let find_scope scope =
try Gmap.find scope !scope_map
with Not_found -> error ("Scope "^scope^" is not declared")
let check_scope sc = let _ = find_scope sc in ()
(**********************************************************************)
(* The global stack of scopes *)
type scope_elem = Scope of scope_name | SingleNotation of string
type scopes = scope_elem list
let scope_stack = ref []
let current_scopes () = !scope_stack
(* TODO: push nat_scope, z_scope, ... in scopes summary *)
(* Exportation of scopes *)
let open_scope i (_,(local,op,sc)) =
if i=1 then begin
(match sc with Scope sc -> check_scope sc | _ -> ());
scope_stack := if op then sc :: !scope_stack else list_except sc !scope_stack
end
let cache_scope o =
open_scope 1 o
let subst_scope (_,subst,sc) = sc
open Libobject
let classify_scope (_,(local,_,_ as o)) =
if local then Dispose else Substitute o
let export_scope (local,_,_ as x) = if local then None else Some x
let (inScope,outScope) =
declare_object {(default_object "SCOPE") with
cache_function = cache_scope;
open_function = open_scope;
subst_function = subst_scope;
classify_function = classify_scope;
export_function = export_scope }
let open_close_scope (local,opening,sc) =
Lib.add_anonymous_leaf (inScope (local,opening,Scope sc))
let empty_scope_stack = []
let push_scope sc scopes = Scope sc :: scopes
let push_scopes = List.fold_right push_scope
type local_scopes = tmp_scope_name option * scope_name list
let make_current_scopes (tmp_scope,scopes) =
option_fold_right push_scope tmp_scope (push_scopes scopes !scope_stack)
(**********************************************************************)
(* Delimiters *)
let delimiters_map = ref Gmap.empty
let declare_delimiters scope key =
let sc = find_scope scope in
if sc.delimiters <> None && Options.is_verbose () then begin
let old = out_some sc.delimiters in
Options.if_verbose
warning ("Overwritting previous delimiting key "^old^" in scope "^scope)
end;
let sc = { sc with delimiters = Some key } in
scope_map := Gmap.add scope sc !scope_map;
if Gmap.mem key !delimiters_map then begin
let oldsc = Gmap.find key !delimiters_map in
Options.if_verbose warning ("Hiding binding of key "^key^" to "^oldsc)
end;
delimiters_map := Gmap.add key scope !delimiters_map
let find_delimiters_scope loc key =
try Gmap.find key !delimiters_map
with Not_found ->
user_err_loc
(loc, "find_delimiters", str ("Unknown scope delimiting key "^key))
(* Uninterpretation tables *)
type interp_rule =
| NotationRule of scope_name option * notation
| SynDefRule of kernel_name
(* We define keys for rawterm and aconstr to split the syntax entries
according to the key of the pattern (adapted from Chet Murthy by HH) *)
type key =
| RefKey of global_reference
| Oth
(* Scopes table : interpretation -> scope_name *)
let notations_key_table = ref Gmapl.empty
let prim_token_key_table = Hashtbl.create 7
let rawconstr_key = function
| RApp (_,RRef (_,ref),_) -> RefKey ref
| RRef (_,ref) -> RefKey ref
| _ -> Oth
let cases_pattern_key = function
| PatCstr (_,ref,_,_) -> RefKey (ConstructRef ref)
| _ -> Oth
let aconstr_key = function
| AApp (ARef ref,args) -> RefKey ref, Some (List.length args)
| AList (_,_,AApp (ARef ref,args),_,_) -> RefKey ref, Some (List.length args)
| ARef ref -> RefKey ref, Some 0
| _ -> Oth, None
let pattern_key = function
| PatCstr (_,cstr,_,_) -> RefKey (ConstructRef cstr)
| _ -> Oth
(**********************************************************************)
(* Interpreting numbers (not in summary because functional objects) *)
type required_module = section_path * string list
type 'a prim_token_interpreter =
loc -> 'a -> rawconstr
type cases_pattern_status = bool (* true = use prim token in patterns *)
type 'a prim_token_uninterpreter =
rawconstr list * (rawconstr -> 'a option) * cases_pattern_status
type internal_prim_token_interpreter =
loc -> prim_token -> required_module * (unit -> rawconstr)
let prim_token_interpreter_tab =
(Hashtbl.create 7 : (scope_name, internal_prim_token_interpreter) Hashtbl.t)
let add_prim_token_interpreter sc interp =
try
let cont = Hashtbl.find prim_token_interpreter_tab sc in
Hashtbl.replace prim_token_interpreter_tab sc (interp cont)
with Not_found ->
let cont = (fun _loc _p -> raise Not_found) in
Hashtbl.add prim_token_interpreter_tab sc (interp cont)
let declare_prim_token_interpreter sc interp (patl,uninterp,b) =
declare_scope sc;
add_prim_token_interpreter sc interp;
List.iter (fun pat ->
Hashtbl.add prim_token_key_table (rawconstr_key pat) (sc,uninterp,b))
patl
let mkNumeral n = Numeral n
let mkString s = String s
let delay dir int loc x = (dir, (fun () -> int loc x))
let declare_numeral_interpreter sc dir interp (patl,uninterp,inpat) =
declare_prim_token_interpreter sc
(fun cont loc -> function Numeral n-> delay dir interp loc n | p -> cont loc p)
(patl, (fun r -> option_map mkNumeral (uninterp r)), inpat)
let declare_string_interpreter sc dir interp (patl,uninterp,inpat) =
declare_prim_token_interpreter sc
(fun cont loc -> function String s -> delay dir interp loc s | p -> cont loc p)
(patl, (fun r -> option_map mkString (uninterp r)), inpat)
let check_required_module loc sc (sp,d) =
try let _ = Nametab.absolute_reference sp in ()
with Not_found ->
user_err_loc (loc,"prim_token_interpreter",
str ("Cannot interpret in "^sc^" without requiring first module "
^(list_last d)))
(* Look if some notation or numeral printer in [scope] can be used in
the scope stack [scopes], and if yes, using delimiters or not *)
let find_with_delimiters = function
| None -> None
| Some scope ->
match (Gmap.find scope !scope_map).delimiters with
| Some key -> Some (Some scope, Some key)
| None -> None
let rec find_without_delimiters find (ntn_scope,ntn) = function
| Scope scope :: scopes ->
(* Is the expected ntn/numpr attached to the most recently open scope? *)
if Some scope = ntn_scope then
Some (None,None)
else
(* If the most recently open scope has a notation/numeral printer
but not the expected one then we need delimiters *)
if find scope then
find_with_delimiters ntn_scope
else
find_without_delimiters find (ntn_scope,ntn) scopes
| SingleNotation ntn' :: scopes ->
if ntn_scope = None & ntn = Some ntn' then
Some (None,None)
else
find_without_delimiters find (ntn_scope,ntn) scopes
| [] ->
(* Can we switch to [scope]? Yes if it has defined delimiters *)
find_with_delimiters ntn_scope
(* Uninterpreted notation levels *)
let declare_notation_level ntn level =
if Gmap.mem ntn !notation_level_map then
error ("Notation "^ntn^" is already assigned a level");
notation_level_map := Gmap.add ntn level !notation_level_map
let level_of_notation ntn =
Gmap.find ntn !notation_level_map
(* The mapping between notations and their interpretation *)
let declare_notation_interpretation ntn scopt pat df =
let scope = match scopt with Some s -> s | None -> default_scope in
let sc = find_scope scope in
if Gmap.mem ntn sc.notations && Options.is_verbose () then
msg_warning (str ("Notation "^ntn^" was already used"^
(if scopt = None then "" else " in scope "^scope)));
let sc = { sc with notations = Gmap.add ntn (pat,df) sc.notations } in
scope_map := Gmap.add scope sc !scope_map;
if scopt = None then scope_stack := SingleNotation ntn :: !scope_stack
let declare_uninterpretation rule (metas,c as pat) =
let (key,n) = aconstr_key c in
notations_key_table := Gmapl.add key (rule,pat,n) !notations_key_table
let rec find_interpretation find = function
| [] -> raise Not_found
| sce :: scopes ->
let sc,sco = match sce with
| Scope sc -> sc, Some sc
| SingleNotation _ -> default_scope, None in
try
let (pat,df) = find sc in
pat,(df,sco)
with Not_found ->
find_interpretation find scopes
let find_notation ntn sc =
Gmap.find ntn (find_scope sc).notations
let notation_of_prim_token = function
| Numeral n when is_pos_or_zero n -> to_string n
| Numeral n -> "- "^(to_string (neg n))
| String _ -> raise Not_found
let find_prim_token g loc p sc =
(* Try for a user-defined numerical notation *)
try
let (_,c),df = find_notation (notation_of_prim_token p) sc in
g (rawconstr_of_aconstr loc c),df
with Not_found ->
(* Try for a primitive numerical notation *)
let (spdir,interp) = Hashtbl.find prim_token_interpreter_tab sc loc p in
check_required_module loc sc spdir;
g (interp ()), (dirpath (fst spdir),"")
let interp_prim_token_gen g loc p local_scopes =
let scopes = make_current_scopes local_scopes in
try find_interpretation (find_prim_token g loc p) scopes
with Not_found ->
user_err_loc (loc,"interp_prim_token",
(match p with
| Numeral n -> str "No interpretation for numeral " ++ pr_bigint n
| String s -> str "No interpretation for string " ++ qs s))
let interp_prim_token =
interp_prim_token_gen (fun x -> x)
let interp_prim_token_cases_pattern loc p name =
interp_prim_token_gen (cases_pattern_of_rawconstr name) loc p
let rec interp_notation loc ntn local_scopes =
let scopes = make_current_scopes local_scopes in
try find_interpretation (find_notation ntn) scopes
with Not_found ->
user_err_loc
(loc,"",str ("Unknown interpretation for notation \""^ntn^"\""))
let uninterp_notations c =
Gmapl.find (rawconstr_key c) !notations_key_table
let uninterp_cases_pattern_notations c =
Gmapl.find (cases_pattern_key c) !notations_key_table
let availability_of_notation (ntn_scope,ntn) scopes =
let f scope =
Gmap.mem ntn (Gmap.find scope !scope_map).notations in
find_without_delimiters f (ntn_scope,Some ntn) (make_current_scopes scopes)
let uninterp_prim_token c =
try
let (sc,numpr,_) = Hashtbl.find prim_token_key_table (rawconstr_key c) in
match numpr c with
| None -> raise No_match
| Some n -> (sc,n)
with Not_found -> raise No_match
let uninterp_prim_token_cases_pattern c =
try
let k = cases_pattern_key c in
let (sc,numpr,b) = Hashtbl.find prim_token_key_table k in
if not b then raise No_match;
let na,c = rawconstr_of_closed_cases_pattern c in
match numpr c with
| None -> raise No_match
| Some n -> (na,sc,n)
with Not_found -> raise No_match
let availability_of_prim_token printer_scope local_scopes t =
let f scope =
try
(* raise Not_found if no primitive interpreter for scope *)
let interp = Hashtbl.find prim_token_interpreter_tab scope in
(* raise Not_found if no primitive interpreter for this token in scope *)
let _ = interp dummy_loc t in true
with Not_found -> false in
let scopes = make_current_scopes local_scopes in
option_map snd (find_without_delimiters f (Some printer_scope,None) scopes)
(* Miscellaneous *)
let exists_notation_in_scope scopt ntn r =
let scope = match scopt with Some s -> s | None -> default_scope in
try
let sc = Gmap.find scope !scope_map in
let (r',_) = Gmap.find ntn sc.notations in
r' = r
with Not_found -> false
(**********************************************************************)
(* Mapping classes to scopes *)
open Classops
let class_scope_map = ref (Gmap.empty : (cl_typ,scope_name) Gmap.t)
let _ = Gmap.add CL_SORT "type_scope" Gmap.empty
let declare_class_scope sc cl =
class_scope_map := Gmap.add cl sc !class_scope_map
let find_class_scope cl =
Gmap.find cl !class_scope_map
let find_class t =
let t, _ = decompose_app (Reductionops.whd_betaiotazeta t) in
match kind_of_term t with
| Var id -> CL_SECVAR id
| Const sp -> CL_CONST sp
| Ind ind_sp -> CL_IND ind_sp
| Prod (_,_,_) -> CL_FUN
| Sort _ -> CL_SORT
| _ -> raise Not_found
(**********************************************************************)
(* Special scopes associated to arguments of a global reference *)
let rec compute_arguments_scope t =
match kind_of_term (Reductionops.whd_betaiotazeta t) with
| Prod (_,t,u) ->
let sc =
try Some (find_class_scope (find_class t)) with Not_found -> None in
sc :: compute_arguments_scope u
| _ -> []
let arguments_scope = ref Refmap.empty
type arguments_scope_discharge_request =
| ArgsScopeAuto
| ArgsScopeManual
| ArgsScopeNoDischarge
let load_arguments_scope _ (_,(_,r,scl)) =
List.iter (option_iter check_scope) scl;
arguments_scope := Refmap.add r scl !arguments_scope
let cache_arguments_scope o =
load_arguments_scope 1 o
let subst_arguments_scope (_,subst,(req,r,scl)) =
(ArgsScopeNoDischarge,fst (subst_global subst r),scl)
let discharge_arguments_scope (_,(req,r,l)) =
if req = ArgsScopeNoDischarge then None
else Some (req,pop_global_reference r,l)
let rebuild_arguments_scope (req,r,l) =
match req with
| ArgsScopeNoDischarge -> assert false
| ArgsScopeAuto ->
(req,r,compute_arguments_scope (Global.type_of_global r))
| ArgsScopeManual ->
(* Add to the manually given scopes the one found automatically
for the extra parameters of the section *)
let l' = compute_arguments_scope (Global.type_of_global r) in
let l1,_ = list_chop (List.length l' - List.length l) l' in
(req,r,l1@l)
let (inArgumentsScope,outArgumentsScope) =
declare_object {(default_object "ARGUMENTS-SCOPE") with
cache_function = cache_arguments_scope;
load_function = load_arguments_scope;
subst_function = subst_arguments_scope;
classify_function = (fun (_,o) -> Substitute o);
discharge_function = discharge_arguments_scope;
rebuild_function = rebuild_arguments_scope;
export_function = (fun x -> Some x) }
let declare_arguments_scope_gen req r scl =
Lib.add_anonymous_leaf (inArgumentsScope (req,r,scl))
let declare_arguments_scope local ref scl =
let req =
if local or isVarRef ref then ArgsScopeNoDischarge else ArgsScopeManual in
declare_arguments_scope_gen req ref scl
let find_arguments_scope r =
try Refmap.find r !arguments_scope
with Not_found -> []
let declare_ref_arguments_scope ref =
let t = Global.type_of_global ref in
let req = if isVarRef ref then ArgsScopeNoDischarge else ArgsScopeAuto in
declare_arguments_scope_gen req ref (compute_arguments_scope t)
(********************************)
(* Encoding notations as string *)
type symbol =
| Terminal of string
| NonTerminal of identifier
| SProdList of identifier * symbol list
| Break of int
let rec string_of_symbol = function
| NonTerminal _ -> ["_"]
| Terminal s -> [s]
| SProdList (_,l) ->
let l = List.flatten (List.map string_of_symbol l) in "_"::l@".."::l@["_"]
| Break _ -> []
let make_notation_key symbols =
String.concat " " (List.flatten (List.map string_of_symbol symbols))
let decompose_notation_key s =
let len = String.length s in
let rec decomp_ntn dirs n =
if n>=len then List.rev dirs else
let pos =
try
String.index_from s n ' '
with Not_found -> len
in
let tok =
match String.sub s n (pos-n) with
| "_" -> NonTerminal (id_of_string "_")
| s -> Terminal s in
decomp_ntn (tok::dirs) (pos+1)
in
decomp_ntn [] 0
(************)
(* Printing *)
let pr_delimiters_info = function
| None -> str "No delimiting key"
| Some key -> str "Delimiting key is " ++ str key
let classes_of_scope sc =
Gmap.fold (fun cl sc' l -> if sc = sc' then cl::l else l) !class_scope_map []
let pr_scope_classes sc =
let l = classes_of_scope sc in
if l = [] then mt()
else
hov 0 (str ("Bound to class"^(if List.tl l=[] then "" else "es")) ++
spc() ++ prlist_with_sep spc pr_class l) ++ fnl()
let pr_notation_info prraw ntn c =
str "\"" ++ str ntn ++ str "\" := " ++
prraw (rawconstr_of_aconstr dummy_loc c)
let pr_named_scope prraw scope sc =
(if scope = default_scope then
match Gmap.fold (fun _ _ x -> x+1) sc.notations 0 with
| 0 -> str "No lonely notation"
| n -> str "Lonely notation" ++ (if n=1 then mt() else str"s")
else
str "Scope " ++ str scope ++ fnl () ++ pr_delimiters_info sc.delimiters)
++ fnl ()
++ pr_scope_classes scope
++ Gmap.fold
(fun ntn ((_,r),(_,df)) strm ->
pr_notation_info prraw df r ++ fnl () ++ strm)
sc.notations (mt ())
let pr_scope prraw scope = pr_named_scope prraw scope (find_scope scope)
let pr_scopes prraw =
Gmap.fold
(fun scope sc strm -> pr_named_scope prraw scope sc ++ fnl () ++ strm)
!scope_map (mt ())
let rec find_default ntn = function
| Scope scope::_ when Gmap.mem ntn (find_scope scope).notations ->
Some scope
| SingleNotation ntn'::_ when ntn = ntn' -> Some default_scope
| _::scopes -> find_default ntn scopes
| [] -> None
let factorize_entries = function
| [] -> []
| (ntn,c)::l ->
let (ntn,l_of_ntn,rest) =
List.fold_left
(fun (a',l,rest) (a,c) ->
if a = a' then (a',c::l,rest) else (a,[c],(a',l)::rest))
(ntn,[c],[]) l in
(ntn,l_of_ntn)::rest
let is_ident s = (* Poor analysis *)
String.length s <> 0 & is_letter s.[0]
let browse_notation ntn map =
let find =
if String.contains ntn ' ' then (=) ntn
else fun ntn' -> List.mem (Terminal ntn) (decompose_notation_key ntn') in
let l =
Gmap.fold
(fun scope_name sc ->
Gmap.fold (fun ntn ((_,r),df) l ->
if find ntn then (ntn,(scope_name,r,df))::l else l) sc.notations)
map [] in
let l = List.sort (fun x y -> Pervasives.compare (fst x) (fst y)) l in
factorize_entries l
let locate_notation prraw ntn =
let ntns = browse_notation ntn !scope_map in
if ntns = [] then
str "Unknown notation"
else
t (str "Notation " ++
tab () ++ str "Scope " ++ tab () ++ fnl () ++
prlist (fun (ntn,l) ->
let scope = find_default ntn !scope_stack in
prlist
(fun (sc,r,(_,df)) ->
hov 0 (
pr_notation_info prraw df r ++ tbrk (1,2) ++
(if sc = default_scope then mt () else (str ": " ++ str sc)) ++
tbrk (1,2) ++
(if Some sc = scope then str "(default interpretation)" else mt ())
++ fnl ()))
l) ntns)
let collect_notation_in_scope scope sc known =
assert (scope <> default_scope);
Gmap.fold
(fun ntn ((_,r),(_,df)) (l,known as acc) ->
if List.mem ntn known then acc else ((df,r)::l,ntn::known))
sc.notations ([],known)
let collect_notations stack =
fst (List.fold_left
(fun (all,knownntn as acc) -> function
| Scope scope ->
if List.mem_assoc scope all then acc
else
let (l,knownntn) =
collect_notation_in_scope scope (find_scope scope) knownntn in
((scope,l)::all,knownntn)
| SingleNotation ntn ->
if List.mem ntn knownntn then (all,knownntn)
else
let ((_,r),(_,df)) =
Gmap.find ntn (find_scope default_scope).notations in
let all' = match all with
| (s,lonelyntn)::rest when s = default_scope ->
(s,(df,r)::lonelyntn)::rest
| _ ->
(default_scope,[df,r])::all in
(all',ntn::knownntn))
([],[]) stack)
let pr_visible_in_scope prraw (scope,ntns) =
let strm =
List.fold_right
(fun (df,r) strm -> pr_notation_info prraw df r ++ fnl () ++ strm)
ntns (mt ()) in
(if scope = default_scope then
str "Lonely notation" ++ (if List.length ntns <> 1 then str "s" else mt())
else
str "Visible in scope " ++ str scope)
++ fnl () ++ strm
let pr_scope_stack prraw stack =
List.fold_left
(fun strm scntns -> strm ++ pr_visible_in_scope prraw scntns ++ fnl ())
(mt ()) (collect_notations stack)
let pr_visibility prraw = function
| Some scope -> pr_scope_stack prraw (push_scope scope !scope_stack)
| None -> pr_scope_stack prraw !scope_stack
(**********************************************************************)
(* Mapping notations to concrete syntax *)
type unparsing_rule = unparsing list * precedence
(* Concrete syntax for symbolic-extension table *)
let printing_rules =
ref (Gmap.empty : (string,unparsing_rule) Gmap.t)
let declare_notation_printing_rule ntn unpl =
printing_rules := Gmap.add ntn unpl !printing_rules
let find_notation_printing_rule ntn =
try Gmap.find ntn !printing_rules
with Not_found -> anomaly ("No printing rule found for "^ntn)
(**********************************************************************)
(* Synchronisation with reset *)
let freeze () =
(!scope_map, !notation_level_map, !scope_stack, !arguments_scope,
!delimiters_map, !notations_key_table, !printing_rules,
!class_scope_map)
let unfreeze (scm,nlm,scs,asc,dlm,fkm,pprules,clsc) =
scope_map := scm;
notation_level_map := nlm;
scope_stack := scs;
delimiters_map := dlm;
arguments_scope := asc;
notations_key_table := fkm;
printing_rules := pprules;
class_scope_map := clsc
let init () =
init_scope_map ();
(*
scope_stack := Gmap.empty
arguments_scope := Refmap.empty
*)
notation_level_map := Gmap.empty;
delimiters_map := Gmap.empty;
notations_key_table := Gmapl.empty;
printing_rules := Gmap.empty;
class_scope_map := Gmap.add CL_SORT "type_scope" Gmap.empty
let _ =
declare_summary "symbols"
{ freeze_function = freeze;
unfreeze_function = unfreeze;
init_function = init;
survive_module = false;
survive_section = false }
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