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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 [ ]
| "11" LEFTA
[ p = pattern; "as"; id = ident ->
CAst.make ~loc:!@loc @@ CPatAlias (p, id) ]
| "10" RIGHTA
[ 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;;
|