(************************************************************************) (* * The Coq Proof Assistant / The Coq Development Team *) (* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) (* c | (c,(_,Some ty)) -> let loc = Loc.merge_opt (constr_loc c) (constr_loc ty) in CAst.make ?loc @@ CCast(c, CastConv ty) let binder_of_name expl { CAst.loc = loc; v = na } = CLocalAssum ([CAst.make ?loc na], Default expl, CAst.make ?loc @@ CHole (Some (Evar_kinds.BinderType na), IntroAnonymous, None)) let binders_of_names l = List.map (binder_of_name Explicit) l let mk_fixb (id,bl,ann,body,(loc,tyc)) : fix_expr = let ty = match tyc with Some ty -> ty | None -> CAst.make @@ CHole (None, IntroAnonymous, None) in (id,ann,bl,ty,body) let mk_cofixb (id,bl,ann,body,(loc,tyc)) : cofix_expr = let _ = Option.map (fun { CAst.loc = aloc } -> CErrors.user_err ?loc:aloc ~hdr:"Constr:mk_cofixb" (Pp.str"Annotation forbidden in cofix expression.")) (fst ann) in let ty = match tyc with Some ty -> ty | None -> CAst.make @@ CHole (None, IntroAnonymous, None) in (id,bl,ty,body) let mk_fix(loc,kw,id,dcls) = if kw then let fb : fix_expr list = List.map mk_fixb dcls in CAst.make ~loc @@ CFix(id,fb) else let fb : cofix_expr list = List.map mk_cofixb dcls in CAst.make ~loc @@ CCoFix(id,fb) let mk_single_fix (loc,kw,dcl) = let (id,_,_,_,_) = dcl in mk_fix(loc,kw,id,[dcl]) let err () = raise Stream.Failure (* Hack to parse "(x:=t)" as an explicit argument without conflicts with the *) (* admissible notation "(x t)" *) let lpar_id_coloneq = Gram.Entry.of_parser "test_lpar_id_coloneq" (fun strm -> match stream_nth 0 strm with | KEYWORD "(" -> (match stream_nth 1 strm with | IDENT s -> (match stream_nth 2 strm with | KEYWORD ":=" -> stream_njunk 3 strm; Names.Id.of_string s | _ -> err ()) | _ -> err ()) | _ -> err ()) let impl_ident_head = Gram.Entry.of_parser "impl_ident_head" (fun strm -> match stream_nth 0 strm with | KEYWORD "{" -> (match stream_nth 1 strm with | IDENT ("wf"|"struct"|"measure") -> err () | IDENT s -> stream_njunk 2 strm; Names.Id.of_string s | _ -> err ()) | _ -> err ()) let name_colon = Gram.Entry.of_parser "name_colon" (fun strm -> match stream_nth 0 strm with | IDENT s -> (match stream_nth 1 strm with | KEYWORD ":" -> stream_njunk 2 strm; Name (Names.Id.of_string s) | _ -> err ()) | KEYWORD "_" -> (match stream_nth 1 strm with | KEYWORD ":" -> stream_njunk 2 strm; Anonymous | _ -> err ()) | _ -> err ()) let aliasvar = function { CAst.v = CPatAlias (_, na) } -> Some na | _ -> None } GRAMMAR EXTEND Gram GLOBAL: binder_constr lconstr constr operconstr universe_level sort sort_family global constr_pattern lconstr_pattern Constr.ident closed_binder open_binders binder binders binders_fixannot record_declaration typeclass_constraint pattern appl_arg; Constr.ident: [ [ id = Prim.ident -> { id } ] ] ; Prim.name: [ [ "_" -> { CAst.make ~loc Anonymous } ] ] ; global: [ [ r = Prim.reference -> { r } ] ] ; constr_pattern: [ [ c = constr -> { c } ] ] ; lconstr_pattern: [ [ c = lconstr -> { c } ] ] ; sort: [ [ "Set" -> { GSet } | "Prop" -> { GProp } | "Type" -> { GType [] } | "Type"; "@{"; u = universe; "}" -> { GType u } ] ] ; sort_family: [ [ "Set" -> { Sorts.InSet } | "Prop" -> { Sorts.InProp } | "Type" -> { Sorts.InType } ] ] ; universe_expr: [ [ id = global; "+"; n = natural -> { Some (id,n) } | id = global -> { Some (id,0) } | "_" -> { None } ] ] ; universe: [ [ IDENT "max"; "("; ids = LIST1 universe_expr SEP ","; ")" -> { ids } | u = universe_expr -> { [u] } ] ] ; lconstr: [ [ c = operconstr LEVEL "200" -> { c } ] ] ; constr: [ [ c = operconstr LEVEL "8" -> { c } | "@"; f=global; i = instance -> { CAst.make ~loc @@ CAppExpl((None,f,i),[]) } ] ] ; operconstr: [ "200" RIGHTA [ c = binder_constr -> { c } ] | "100" RIGHTA [ c1 = operconstr; "<:"; c2 = binder_constr -> { CAst.make ~loc @@ CCast(c1, CastVM c2) } | c1 = operconstr; "<:"; c2 = SELF -> { CAst.make ~loc @@ CCast(c1, CastVM c2) } | c1 = operconstr; "<<:"; c2 = binder_constr -> { CAst.make ~loc @@ CCast(c1, CastNative c2) } | c1 = operconstr; "<<:"; c2 = SELF -> { CAst.make ~loc @@ CCast(c1, CastNative c2) } | c1 = operconstr; ":";c2 = binder_constr -> { CAst.make ~loc @@ CCast(c1, CastConv c2) } | c1 = operconstr; ":"; c2 = SELF -> { CAst.make ~loc @@ CCast(c1, CastConv c2) } | c1 = operconstr; ":>" -> { CAst.make ~loc @@ CCast(c1, CastCoerce) } ] | "99" RIGHTA [ ] | "90" RIGHTA [ ] | "10" LEFTA [ f=operconstr; args=LIST1 appl_arg -> { CAst.make ~loc @@ CApp((None,f),args) } | "@"; f=global; i = instance; args=LIST0 NEXT -> { CAst.make ~loc @@ CAppExpl((None,f,i),args) } | "@"; lid = pattern_identref; args=LIST1 identref -> { let { CAst.loc = locid; v = id } = lid in let args = List.map (fun x -> CAst.make @@ CRef (qualid_of_ident ?loc:x.CAst.loc x.CAst.v, None), None) args in CAst.make ~loc @@ CApp((None, CAst.make ?loc:locid @@ CPatVar id),args) } ] | "9" [ ".."; c = operconstr LEVEL "0"; ".." -> { CAst.make ~loc @@ CAppExpl ((None, (qualid_of_ident ~loc ldots_var), None),[c]) } ] | "8" [ ] | "1" LEFTA [ c=operconstr; ".("; f=global; args=LIST0 appl_arg; ")" -> { CAst.make ~loc @@ CApp((Some (List.length args+1), CAst.make @@ CRef (f,None)),args@[c,None]) } | c=operconstr; ".("; "@"; f=global; args=LIST0 (operconstr LEVEL "9"); ")" -> { CAst.make ~loc @@ CAppExpl((Some (List.length args+1),f,None),args@[c]) } | c=operconstr; "%"; key=IDENT -> { CAst.make ~loc @@ CDelimiters (key,c) } ] | "0" [ c=atomic_constr -> { c } | c=match_constr -> { c } | "("; c = operconstr LEVEL "200"; ")" -> { (match c.CAst.v with | CPrim (Numeral (n,true)) -> CAst.make ~loc @@ CNotation("( _ )",([c],[],[],[])) | _ -> c) } | "{|"; c = record_declaration; "|}" -> { c } | "{"; c = binder_constr ; "}" -> { CAst.make ~loc @@ CNotation(("{ _ }"),([c],[],[],[])) } | "`{"; c = operconstr LEVEL "200"; "}" -> { CAst.make ~loc @@ CGeneralization (Implicit, None, c) } | "`("; c = operconstr LEVEL "200"; ")" -> { CAst.make ~loc @@ CGeneralization (Explicit, None, c) } ] ] ; record_declaration: [ [ fs = record_fields -> { CAst.make ~loc @@ CRecord fs } ] ] ; record_fields: [ [ f = record_field_declaration; ";"; fs = record_fields -> { f :: fs } | f = record_field_declaration -> { [f] } | -> { [] } ] ] ; record_field_declaration: [ [ id = global; bl = binders; ":="; c = lconstr -> { (id, mkCLambdaN ~loc bl c) } ] ] ; binder_constr: [ [ "forall"; bl = open_binders; ","; c = operconstr LEVEL "200" -> { mkCProdN ~loc bl c } | "fun"; bl = open_binders; "=>"; c = operconstr LEVEL "200" -> { mkCLambdaN ~loc bl c } | "let"; id=name; bl = binders; ty = type_cstr; ":="; c1 = operconstr LEVEL "200"; "in"; c2 = operconstr LEVEL "200" -> { let ty,c1 = match ty, c1 with | (_,None), { CAst.v = CCast(c, CastConv t) } -> (Loc.tag ?loc:(constr_loc t) @@ Some t), c (* Tolerance, see G_vernac.def_body *) | _, _ -> ty, c1 in CAst.make ~loc @@ CLetIn(id,mkCLambdaN ?loc:(constr_loc c1) bl c1, Option.map (mkCProdN ?loc:(fst ty) bl) (snd ty), c2) } | "let"; fx = single_fix; "in"; c = operconstr LEVEL "200" -> { let fixp = mk_single_fix fx in let { CAst.loc = li; v = id } = match fixp.CAst.v with CFix(id,_) -> id | CCoFix(id,_) -> id | _ -> assert false in CAst.make ~loc @@ CLetIn( CAst.make ?loc:li @@ Name id,fixp,None,c) } | "let"; lb = ["("; l=LIST0 name SEP ","; ")" -> { l } | "()" -> { [] } ]; po = return_type; ":="; c1 = operconstr LEVEL "200"; "in"; c2 = operconstr LEVEL "200" -> { CAst.make ~loc @@ CLetTuple (lb,po,c1,c2) } | "let"; "'"; p=pattern; ":="; c1 = operconstr LEVEL "200"; "in"; c2 = operconstr LEVEL "200" -> { CAst.make ~loc @@ CCases (LetPatternStyle, None, [c1, None, None], [CAst.make ~loc ([[p]], c2)]) } | "let"; "'"; p=pattern; ":="; c1 = operconstr LEVEL "200"; rt = case_type; "in"; c2 = operconstr LEVEL "200" -> { CAst.make ~loc @@ CCases (LetPatternStyle, Some rt, [c1, aliasvar p, None], [CAst.make ~loc ([[p]], c2)]) } | "let"; "'"; p=pattern; "in"; t = pattern LEVEL "200"; ":="; c1 = operconstr LEVEL "200"; rt = case_type; "in"; c2 = operconstr LEVEL "200" -> { CAst.make ~loc @@ CCases (LetPatternStyle, Some rt, [c1, aliasvar p, Some t], [CAst.make ~loc ([[p]], c2)]) } | "if"; c=operconstr LEVEL "200"; po = return_type; "then"; b1=operconstr LEVEL "200"; "else"; b2=operconstr LEVEL "200" -> { CAst.make ~loc @@ CIf (c, po, b1, b2) } | c=fix_constr -> { c } ] ] ; appl_arg: [ [ id = lpar_id_coloneq; c=lconstr; ")" -> { (c,Some (CAst.make ~loc @@ ExplByName id)) } | c=operconstr LEVEL "9" -> { (c,None) } ] ] ; atomic_constr: [ [ g=global; i=instance -> { CAst.make ~loc @@ CRef (g,i) } | s=sort -> { CAst.make ~loc @@ CSort s } | n=INT -> { CAst.make ~loc @@ CPrim (Numeral (n,true)) } | s=string -> { CAst.make ~loc @@ CPrim (String s) } | "_" -> { CAst.make ~loc @@ CHole (None, IntroAnonymous, None) } | "?"; "["; id=ident; "]" -> { CAst.make ~loc @@ CHole (None, IntroIdentifier id, None) } | "?"; "["; id=pattern_ident; "]" -> { CAst.make ~loc @@ CHole (None, IntroFresh id, None) } | id=pattern_ident; inst = evar_instance -> { CAst.make ~loc @@ CEvar(id,inst) } ] ] ; inst: [ [ id = ident; ":="; c = lconstr -> { (id,c) } ] ] ; evar_instance: [ [ "@{"; l = LIST1 inst SEP ";"; "}" -> { l } | -> { [] } ] ] ; instance: [ [ "@{"; l = LIST0 universe_level; "}" -> { Some l } | -> { None } ] ] ; universe_level: [ [ "Set" -> { GSet } | "Prop" -> { GProp } | "Type" -> { GType UUnknown } | "_" -> { GType UAnonymous } | id = global -> { GType (UNamed id) } ] ] ; fix_constr: [ [ fx1=single_fix -> { mk_single_fix fx1 } | f=single_fix; "with"; dcls=LIST1 fix_decl SEP "with"; "for"; id=identref -> { let (_,kw,dcl1) = f in mk_fix(loc,kw,id,dcl1::dcls) } ] ] ; single_fix: [ [ kw=fix_kw; dcl=fix_decl -> { (loc,kw,dcl) } ] ] ; fix_kw: [ [ "fix" -> { true } | "cofix" -> { false } ] ] ; fix_decl: [ [ id=identref; bl=binders_fixannot; ty=type_cstr; ":="; c=operconstr LEVEL "200" -> { (id,fst bl,snd bl,c,ty) } ] ] ; match_constr: [ [ "match"; ci=LIST1 case_item SEP ","; ty=OPT case_type; "with"; br=branches; "end" -> { CAst.make ~loc @@ CCases(RegularStyle,ty,ci,br) } ] ] ; case_item: [ [ c=operconstr LEVEL "100"; ona = OPT ["as"; id=name -> { id } ]; ty = OPT ["in"; t=pattern -> { t } ] -> { (c,ona,ty) } ] ] ; case_type: [ [ "return"; ty = operconstr LEVEL "100" -> { ty } ] ] ; return_type: [ [ a = OPT [ na = OPT["as"; na=name -> { na } ]; ty = case_type -> { (na,ty) } ] -> { match a with | None -> None, None | Some (na,t) -> (na, Some t) } ] ] ; branches: [ [ OPT"|"; br=LIST0 eqn SEP "|" -> { br } ] ] ; mult_pattern: [ [ pl = LIST1 pattern LEVEL "99" SEP "," -> { pl } ] ] ; eqn: [ [ pll = LIST1 mult_pattern SEP "|"; "=>"; rhs = lconstr -> { (CAst.make ~loc (pll,rhs)) } ] ] ; record_pattern: [ [ id = global; ":="; pat = pattern -> { (id, pat) } ] ] ; record_patterns: [ [ p = record_pattern; ";"; ps = record_patterns -> { p :: ps } | p = record_pattern; ";" -> { [p] } | p = record_pattern-> { [p] } | -> { [] } ] ] ; pattern: [ "200" RIGHTA [ ] | "100" RIGHTA [ p = pattern; "|"; pl = LIST1 pattern SEP "|" -> { CAst.make ~loc @@ CPatOr (p::pl) } ] | "99" RIGHTA [ ] | "90" RIGHTA [ ] | "10" LEFTA [ p = pattern; "as"; na = name -> { CAst.make ~loc @@ CPatAlias (p, na) } | p = pattern; lp = LIST1 NEXT -> { mkAppPattern ~loc p lp } | "@"; r = Prim.reference; lp = LIST0 NEXT -> { CAst.make ~loc @@ CPatCstr (r, Some lp, []) } ] | "1" LEFTA [ c = pattern; "%"; key=IDENT -> { CAst.make ~loc @@ CPatDelimiters (key,c) } ] | "0" [ r = Prim.reference -> { CAst.make ~loc @@ CPatAtom (Some r) } | "{|"; pat = record_patterns; "|}" -> { CAst.make ~loc @@ CPatRecord pat } | "_" -> { CAst.make ~loc @@ CPatAtom None } | "("; p = pattern LEVEL "200"; ")" -> { (match p.CAst.v with | CPatPrim (Numeral (n,true)) -> CAst.make ~loc @@ CPatNotation("( _ )",([p],[]),[]) | _ -> p) } | "("; p = pattern LEVEL "200"; ":"; ty = lconstr; ")" -> { let p = match p with | { CAst.v = CPatPrim (Numeral (n,true)) } -> CAst.make ~loc @@ CPatNotation("( _ )",([p],[]),[]) | _ -> p in CAst.make ~loc @@ CPatCast (p, ty) } | n = INT -> { CAst.make ~loc @@ CPatPrim (Numeral (n,true)) } | s = string -> { CAst.make ~loc @@ CPatPrim (String s) } ] ] ; impl_ident_tail: [ [ "}" -> { binder_of_name Implicit } | nal=LIST1 name; ":"; c=lconstr; "}" -> { (fun na -> CLocalAssum (na::nal,Default Implicit,c)) } | nal=LIST1 name; "}" -> { (fun na -> CLocalAssum (na::nal,Default Implicit, CAst.make ?loc:(Loc.merge_opt na.CAst.loc (Some loc)) @@ CHole (Some (Evar_kinds.BinderType na.CAst.v), IntroAnonymous, None))) } | ":"; c=lconstr; "}" -> { (fun na -> CLocalAssum ([na],Default Implicit,c)) } ] ] ; fixannot: [ [ "{"; IDENT "struct"; id=identref; "}" -> { (Some id, CStructRec) } | "{"; IDENT "wf"; rel=constr; id=OPT identref; "}" -> { (id, CWfRec rel) } | "{"; IDENT "measure"; m=constr; id=OPT identref; rel=OPT constr; "}" -> { (id, CMeasureRec (m,rel)) } ] ] ; impl_name_head: [ [ id = impl_ident_head -> { CAst.make ~loc @@ Name id } ] ] ; binders_fixannot: [ [ na = impl_name_head; assum = impl_ident_tail; bl = binders_fixannot -> { (assum na :: fst bl), snd bl } | f = fixannot -> { [], f } | b = binder; bl = binders_fixannot -> { b @ fst bl, snd bl } | -> { [], (None, CStructRec) } ] ] ; open_binders: (* Same as binders but parentheses around a closed binder are optional if the latter is unique *) [ [ id = name; idl = LIST0 name; ":"; c = lconstr -> { [CLocalAssum (id::idl,Default Explicit,c)] (* binders factorized with open binder *) } | id = name; idl = LIST0 name; bl = binders -> { binders_of_names (id::idl) @ bl } | id1 = name; ".."; id2 = name -> { [CLocalAssum ([id1;(CAst.make ~loc (Name ldots_var));id2], Default Explicit, CAst.make ~loc @@ CHole (None, IntroAnonymous, None))] } | bl = closed_binder; bl' = binders -> { bl@bl' } ] ] ; binders: [ [ l = LIST0 binder -> { List.flatten l } ] ] ; binder: [ [ id = name -> { [CLocalAssum ([id],Default Explicit, CAst.make ~loc @@ CHole (None, IntroAnonymous, None))] } | bl = closed_binder -> { bl } ] ] ; closed_binder: [ [ "("; id=name; idl=LIST1 name; ":"; c=lconstr; ")" -> { [CLocalAssum (id::idl,Default Explicit,c)] } | "("; id=name; ":"; c=lconstr; ")" -> { [CLocalAssum ([id],Default Explicit,c)] } | "("; id=name; ":="; c=lconstr; ")" -> { (match c.CAst.v with | CCast(c, CastConv t) -> [CLocalDef (id,c,Some t)] | _ -> [CLocalDef (id,c,None)]) } | "("; id=name; ":"; t=lconstr; ":="; c=lconstr; ")" -> { [CLocalDef (id,c,Some t)] } | "{"; id=name; "}" -> { [CLocalAssum ([id],Default Implicit, CAst.make ~loc @@ CHole (None, IntroAnonymous, None))] } | "{"; id=name; idl=LIST1 name; ":"; c=lconstr; "}" -> { [CLocalAssum (id::idl,Default Implicit,c)] } | "{"; id=name; ":"; c=lconstr; "}" -> { [CLocalAssum ([id],Default Implicit,c)] } | "{"; id=name; idl=LIST1 name; "}" -> { List.map (fun id -> CLocalAssum ([id],Default Implicit, CAst.make ~loc @@ CHole (None, IntroAnonymous, None))) (id::idl) } | "`("; tc = LIST1 typeclass_constraint SEP "," ; ")" -> { List.map (fun (n, b, t) -> CLocalAssum ([n], Generalized (Implicit, Explicit, b), t)) tc } | "`{"; tc = LIST1 typeclass_constraint SEP "," ; "}" -> { List.map (fun (n, b, t) -> CLocalAssum ([n], Generalized (Implicit, Implicit, b), t)) tc } | "'"; p = pattern LEVEL "0" -> { let (p, ty) = match p.CAst.v with | CPatCast (p, ty) -> (p, Some ty) | _ -> (p, None) in [CLocalPattern (CAst.make ~loc (p, ty))] } ] ] ; typeclass_constraint: [ [ "!" ; c = operconstr LEVEL "200" -> { (CAst.make ~loc Anonymous), true, c } | "{"; id = name; "}"; ":" ; expl = [ "!" -> { true } | -> { false } ] ; c = operconstr LEVEL "200" -> { id, expl, c } | iid=name_colon ; expl = [ "!" -> { true } | -> { false } ] ; c = operconstr LEVEL "200" -> { (CAst.make ~loc iid), expl, c } | c = operconstr LEVEL "200" -> { (CAst.make ~loc Anonymous), false, c } ] ] ; type_cstr: [ [ c=OPT [":"; c=lconstr -> { c } ] -> { Loc.tag ~loc c } ] ] ; END