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(************************************************************************) (* v * The Coq Proof Assistant / The Coq Development Team *) (* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2017 *) (* \VV/ **************************************************************) (* // * This file is distributed under the terms of the *) (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) open Names open Libnames open Constrexpr open Constrexpr_ops open Util open Tok open Misctypes open Decl_kinds open Pcoq open Pcoq.Prim open Pcoq.Constr (* TODO: avoid this redefinition without an extra dep to Notation_ops *) let ldots_var = Id.of_string ".." let constr_kw = [ "forall"; "fun"; "match"; "fix"; "cofix"; "with"; "in"; "for"; "end"; "as"; "let"; "if"; "then"; "else"; "return"; "Prop"; "Set"; "Type"; ".("; "_"; ".."; "`{"; "`("; "{|"; "|}" ] let _ = List.iter CLexer.add_keyword constr_kw let mk_cast = function (c,(_,None)) -> 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 (loc,na) = CLocalAssum ([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)) = 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)) = let _ = Option.map (fun (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 = List.map mk_fixb dcls in CAst.make ~loc @@ CFix(id,fb) else let fb = 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.loc = loc; CAst.v = CPatAlias (_, id) } -> Some (loc,Name id) | _ -> None GEXTEND 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: [ [ "_" -> Loc.tag ~loc:!@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: [ [ IDENT "max"; "("; ids = LIST1 name SEP ","; ")" -> ids | id = name -> [id] ] ] ; lconstr: [ [ c = operconstr LEVEL "200" -> c ] ] ; constr: [ [ c = operconstr LEVEL "8" -> c | "@"; f=global; i = instance -> CAst.make ~loc:!@loc @@ CAppExpl((None,f,i),[]) ] ] ; operconstr: [ "200" RIGHTA [ c = binder_constr -> c ] | "100" RIGHTA [ c1 = operconstr; "<:"; c2 = binder_constr -> CAst.make ~loc:(!@loc) @@ CCast(c1, CastVM c2) | c1 = operconstr; "<:"; c2 = SELF -> CAst.make ~loc:(!@loc) @@ CCast(c1, CastVM c2) | c1 = operconstr; "<<:"; c2 = binder_constr -> CAst.make ~loc:(!@loc) @@ CCast(c1, CastNative c2) | c1 = operconstr; "<<:"; c2 = SELF -> CAst.make ~loc:(!@loc) @@ CCast(c1, CastNative c2) | c1 = operconstr; ":";c2 = binder_constr -> CAst.make ~loc:(!@loc) @@ CCast(c1, CastConv c2) | c1 = operconstr; ":"; c2 = SELF -> CAst.make ~loc:(!@loc) @@ CCast(c1, CastConv c2) | c1 = operconstr; ":>" -> CAst.make ~loc:(!@loc) @@ CCast(c1, CastCoerce) ] | "99" RIGHTA [ ] | "90" RIGHTA [ ] | "10" LEFTA [ f=operconstr; args=LIST1 appl_arg -> CAst.make ~loc:(!@loc) @@ CApp((None,f),args) | "@"; f=global; i = instance; args=LIST0 NEXT -> CAst.make ~loc:!@loc @@ CAppExpl((None,f,i),args) | "@"; (locid,id) = pattern_identref; args=LIST1 identref -> let args = List.map (fun x -> CAst.make @@ CRef (Ident x,None), None) args in CAst.make ~loc:(!@loc) @@ CApp((None, CAst.make ?loc:locid @@ CPatVar id),args) ] | "9" [ ".."; c = operconstr LEVEL "0"; ".." -> CAst.make ~loc:!@loc @@ CAppExpl ((None, Ident (Loc.tag ~loc:!@loc ldots_var),None),[c]) ] | "8" [ ] | "1" LEFTA [ c=operconstr; ".("; f=global; args=LIST0 appl_arg; ")" -> CAst.make ~loc:(!@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:(!@loc) @@ CAppExpl((Some (List.length args+1),f,None),args@[c]) | c=operconstr; "%"; key=IDENT -> CAst.make ~loc:(!@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:(!@loc) @@ CNotation("( _ )",([c],[],[])) | _ -> c) | "{|"; c = record_declaration; "|}" -> c | "`{"; c = operconstr LEVEL "200"; "}" -> CAst.make ~loc:(!@loc) @@ CGeneralization (Implicit, None, c) | "`("; c = operconstr LEVEL "200"; ")" -> CAst.make ~loc:(!@loc) @@ CGeneralization (Explicit, None, c) ] ] ; record_declaration: [ [ fs = record_fields -> CAst.make ~loc:(!@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:!@loc bl c) ] ] ; binder_constr: [ [ "forall"; bl = open_binders; ","; c = operconstr LEVEL "200" -> mkCProdN ~loc:!@loc bl c | "fun"; bl = open_binders; "=>"; c = operconstr LEVEL "200" -> mkCLambdaN ~loc:!@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:!@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 (li,id) = match fixp.CAst.v with CFix(id,_) -> id | CCoFix(id,_) -> id | _ -> assert false in CAst.make ~loc:!@loc @@ CLetIn((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:!@loc @@ CLetTuple (lb,po,c1,c2) | "let"; "'"; p=pattern; ":="; c1 = operconstr LEVEL "200"; "in"; c2 = operconstr LEVEL "200" -> CAst.make ~loc:!@loc @@ CCases (LetPatternStyle, None, [c1, None, None], [Loc.tag ~loc:!@loc ([(Loc.tag ~loc:!@loc [p])], c2)]) | "let"; "'"; p=pattern; ":="; c1 = operconstr LEVEL "200"; rt = case_type; "in"; c2 = operconstr LEVEL "200" -> CAst.make ~loc:!@loc @@ CCases (LetPatternStyle, Some rt, [c1, aliasvar p, None], [Loc.tag ~loc:!@loc ([(Loc.tag ~loc:!@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:!@loc @@ CCases (LetPatternStyle, Some rt, [c1, aliasvar p, Some t], [Loc.tag ~loc:!@loc ([(Loc.tag ~loc:!@loc [p])], c2)]) | "if"; c=operconstr LEVEL "200"; po = return_type; "then"; b1=operconstr LEVEL "200"; "else"; b2=operconstr LEVEL "200" -> CAst.make ~loc:(!@loc) @@ CIf (c, po, b1, b2) | c=fix_constr -> c ] ] ; appl_arg: [ [ id = lpar_id_coloneq; c=lconstr; ")" -> (c,Some (Loc.tag ~loc:!@loc @@ ExplByName id)) | c=operconstr LEVEL "9" -> (c,None) ] ] ; atomic_constr: [ [ g=global; i=instance -> CAst.make ~loc:!@loc @@ CRef (g,i) | s=sort -> CAst.make ~loc:!@loc @@ CSort s | n=INT -> CAst.make ~loc:!@loc @@ CPrim (Numeral (n,true)) | s=string -> CAst.make ~loc:!@loc @@ CPrim (String s) | "_" -> CAst.make ~loc:!@loc @@ CHole (None, IntroAnonymous, None) | "?"; "["; id=ident; "]" -> CAst.make ~loc:!@loc @@ CHole (None, IntroIdentifier id, None) | "?"; "["; id=pattern_ident; "]" -> CAst.make ~loc:!@loc @@ CHole (None, IntroFresh id, None) | id=pattern_ident; inst = evar_instance -> CAst.make ~loc:!@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 None | id = name -> GType (Some id) ] ] ; fix_constr: [ [ fx1=single_fix -> mk_single_fix fx1 | (_,kw,dcl1)=single_fix; "with"; dcls=LIST1 fix_decl SEP "with"; "for"; id=identref -> 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:!@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 "," -> (Loc.tag ~loc:!@loc pl) ] ] ; eqn: [ [ pll = LIST1 mult_pattern SEP "|"; "=>"; rhs = lconstr -> (Loc.tag ~loc:!@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:!@loc @@ CPatOr (p::pl) ] | "99" RIGHTA [ ] | "90" RIGHTA [ ] | "10" LEFTA [ p = pattern; "as"; id = ident -> CAst.make ~loc:!@loc @@ CPatAlias (p, id) | p = pattern; lp = LIST1 NEXT -> (let open CAst in match p with | { v = CPatAtom (Some r) } -> CAst.make ~loc:!@loc @@ CPatCstr (r, None, lp) | { v = CPatCstr (r, None, l2); loc } -> CErrors.user_err ?loc ~hdr:"compound_pattern" (Pp.str "Nested applications not supported.") | { v = CPatCstr (r, l1, l2) } -> CAst.make ~loc:!@loc @@ CPatCstr (r, l1 , l2@lp) | { v = CPatNotation (n, s, l) } -> CAst.make ~loc:!@loc @@ CPatNotation (n , s, l@lp) | _ -> CErrors.user_err ?loc:(cases_pattern_expr_loc p) ~hdr:"compound_pattern" (Pp.str "Such pattern cannot have arguments.")) | "@"; r = Prim.reference; lp = LIST0 NEXT -> CAst.make ~loc:!@loc @@ CPatCstr (r, Some lp, []) ] | "1" LEFTA [ c = pattern; "%"; key=IDENT -> CAst.make ~loc:!@loc @@ CPatDelimiters (key,c) ] | "0" [ r = Prim.reference -> CAst.make ~loc:!@loc @@ CPatAtom (Some r) | "{|"; pat = record_patterns; "|}" -> CAst.make ~loc:!@loc @@ CPatRecord pat | "_" -> CAst.make ~loc:!@loc @@ CPatAtom None | "("; p = pattern LEVEL "200"; ")" -> (match p.CAst.v with | CPatPrim (Numeral (n,true)) -> CAst.make ~loc:!@loc @@ CPatNotation("( _ )",([p],[]),[]) | _ -> p) | "("; p = pattern LEVEL "200"; ":"; ty = lconstr; ")" -> let p = match p with | { CAst.v = CPatPrim (Numeral (n,true)) } -> CAst.make ~loc:!@loc @@ CPatNotation("( _ )",([p],[]),[]) | _ -> p in CAst.make ~loc:!@loc @@ CPatCast (p, ty) | n = INT -> CAst.make ~loc:!@loc @@ CPatPrim (Numeral (n,true)) | s = string -> CAst.make ~loc:!@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 (fst na) (Some !@loc)) @@ CHole (Some (Evar_kinds.BinderType (snd na)), 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 -> (Loc.tag ~loc:!@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 *) [ [ (* open binder *) 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;(Loc.tag ~loc:!@loc (Name ldots_var));id2], Default Explicit, CAst.make ~loc:!@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:!@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:!@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:!@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 (Loc.tag ~loc:!@loc (p, ty))] ] ] ; typeclass_constraint: [ [ "!" ; c = operconstr LEVEL "200" -> (Loc.tag ~loc:!@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" -> (Loc.tag ~loc:!@loc iid), expl, c | c = operconstr LEVEL "200" -> (Loc.tag ~loc:!@loc Anonymous), false, c ] ] ; type_cstr: [ [ c=OPT [":"; c=lconstr -> c] -> Loc.tag ~loc:!@loc c ] ] ; END;;