From 873660d1a83ece926fe7206288dda9c36b349c1b Mon Sep 17 00:00:00 2001
From: Karl Berry <karl@freefriends.org>
Date: Thu, 12 Jan 2006 23:46:03 +0000
Subject: generic 1

git-svn-id: svn://tug.org/texlive/trunk@613 c570f23f-e606-0410-a88d-b1316a301751
---
 Master/texmf-dist/tex/generic/xypic/xy.tex | 2689 ++++++++++++++++++++++++++++
 1 file changed, 2689 insertions(+)
 create mode 100644 Master/texmf-dist/tex/generic/xypic/xy.tex

(limited to 'Master/texmf-dist/tex/generic/xypic/xy.tex')

diff --git a/Master/texmf-dist/tex/generic/xypic/xy.tex b/Master/texmf-dist/tex/generic/xypic/xy.tex
new file mode 100644
index 00000000000..ae6d8085710
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/xypic/xy.tex
@@ -0,0 +1,2689 @@
+%% xy.tex from $Id: xy.doc,v 3.7 1999/02/16 15:12:50 krisrose Exp $
+%%
+%% Basic Xy-pictures: Xy-pic bootstrap and kernel macros.
+%% Copyright (c) 1991-1999 Kristoffer H. Rose <krisrose@ens-lyon.fr>
+%%
+%% This file is part of the Xy-pic package for graphs and diagrams in TeX.
+%% Copyright (c) 1991-1999 Kristoffer H. Rose <krisrose@ens-lyon.fr>
+%%
+%% The Xy-pic package is free software; you can redistribute it and/or modify
+%% it under the terms of the GNU General Public License as published by the
+%% Free Software Foundation; either version 2 of the License, or (at your
+%% option) any later version.
+%%
+%% The Xy-pic package is distributed in the hope that it will be useful, but
+%% WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+%% or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
+%% for more details.
+%%
+%% You should have received a copy of the GNU General Public License along
+%% with this package; if not, write to the Free Software Foundation, Inc.,
+%% 675 Mass Ave, Cambridge, MA 02139, USA.
+%%
+\ifx\xyloaded\undefined\else\message{not reloaded}\endinput\fi
+\let\xyloaded=\relax
+\message{Bootstrap\string'ing\string:}
+{\catcode96 12\catcode`\#6\catcode`\.12\catcode`\:12\catcode`\'12\catcode`\@11
+\ifx\xywarnifdefined\undefined\else \immediate\write16{}%
+ \immediate\write16{Xy-pic Warning: \string\xywarnifdefined\space redefined.}%
+ \immediate\write16{}\fi
+\gdef\xywarnifdefined#1{\ifx#1\undefined\else \immediate\write16{}%
+ \immediate\write16{Xy-pic Warning: `\string#1' redefined.}%
+ \immediate\write16{}\fi}
+\xywarnifdefined\xydef@ \gdef\xydef@#1{\xywarnifdefined#1\gdef#1}
+\xywarnifdefined\xylet@ \gdef\xylet@#1{\xywarnifdefined#1\global\let#1}
+\xywarnifdefined\xynew@
+ \gdef\xynew@#1#2{\xywarnifdefined#2\csname new#1\endcsname#2}}
+\message{catcodes\string,}
+\xywarnifdefined\xyuncatcodes
+\xywarnifdefined\xyreuncatcodes \def\xyreuncatcodes{\edef\xyuncatcodes{%
+ \catcode92 0 \catcode123 1 \catcode125 2 \catcode37 14
+ \catcode 9 \the\catcode 9 \catcode10 \the\catcode10 \catcode12 \the\catcode12
+ \catcode35 \the\catcode35 \catcode36 \the\catcode36 \catcode38 \the\catcode38 
+ \catcode43 \the\catcode43 \catcode45 \the\catcode45 \catcode46 \the\catcode46 
+ \catcode47 \the\catcode47 
+ \catcode60 \the\catcode60 \catcode61 \the\catcode61 \catcode62 \the\catcode62 
+ \catcode64 \the\catcode64 \catcode96 \the\catcode96
+ \newlinechar \the\newlinechar \endlinechar \the\endlinechar }}
+\xyreuncatcodes
+\xywarnifdefined\xycatcodes \def\xycatcodes{%
+ \catcode 9 10
+ \catcode 35 6 \catcode 36 3 \catcode 38 4
+ \catcode 43 12 \catcode 45 12 \catcode 46 12 \catcode 47 12
+ \catcode 60 12 \catcode 61 12 \catcode 62 12
+ \catcode 64 11 \catcode 96 12 }
+\xycatcodes
+\message{docmode,}
+{\catcode`\|0 \xywarnifdefined|DOCMODE
+\gdef|DOCMODE#1{\ifx(#1\relax \xycatcodes \expandafter\ignorespaces
+ \else \skipspecials@ \expandafter\docm@\fi}%
+\xywarnifdefined\skipspecials@
+\gdef\skipspecials@{%
+ \catcode`\\12 \catcode`\{12 \catcode`\}12 \catcode`\#12 \catcode`\%12
+ \catcode`\^^L12 \endlinechar`\^^J }%
+\catcode`\/=12 \lccode`\/`\\%
+\lccode`\D`\D \lccode`\O`\O \lccode`\C`\C \lccode`\M`\M \lccode`\E`\E
+\lowercase{%
+\xywarnifdefined\docm@ \gdef\docm@{\docm@i}%
+\xywarnifdefined\docm@i \gdef\docm@i#1^^J{\docm@ii#1/DOCMODE\docm@iii}%
+\xywarnifdefined\docm@ii
+ \gdef\docm@ii#1/DOCMODE{\def\next@{#1}\futurelet\next\docm@iii}%
+\xywarnifdefined\docm@iii \gdef\docm@iii#1\docm@iii{%
+ \ifx\next\docm@iii \let\next\next@ \docecho@ \let\next@\docm@
+ \else\ifx\next@\empty \let\next@\docfinish@
+ \else \edef\next@{\noexpand\docm@iv\next@/DOCMODE#1\noexpand\docm@iv}%
+ \fi\fi \next@}%
+\xywarnifdefined\docm@iv
+ \gdef\docm@iv#1/DOCMODE\docm@iv{\def\next{#1}\docecho@ \docm@}}%
+\xywarnifdefined\docecho@ \global\let\docecho@\relax
+\xywarnifdefined\docfinish@ \gdef\docfinish@{\xyuncatcodes|DOCMODE\next}}
+\xydef@\xydefcsname@#1{\DN@{#1}\DNii@##1{%
+ \ifx ##1\relax\else \xywarning@{\string`\string##1\string' redefined}\fi
+ \def##1}%
+ \expandafter\nextii@\csname\codeof\next@\endcsname}
+\xydef@\xyletcsnamecsname@#1#2{\def\1{#1}\def\2{#2}\DN@##1##2{%
+ \ifx ##1\relax\else \xywarning@{`\string##1\string' redefined}\fi
+ \let##1=##2}%
+ \expandafter\expandafter\expandafter\next@
+ \expandafter\csname\expandafter\codeof\expandafter\1\expandafter\endcsname
+ \csname\codeof\2\endcsname}
+\xywarnifdefined\codeof
+\xywarnifdefined\codeof@
+{\catcode`\:=12
+ \gdef\codeof#1{\expandafter\codeof@\meaning#1<-:}
+ \gdef\codeof@#1:->#2<-:{#2}}
+\xywarnifdefined\addAT@
+\xywarnifdefined\addHASH@
+\xywarnifdefined\addDOLL@
+\xywarnifdefined\addAND@
+\xywarnifdefined\addRQ@
+\xywarnifdefined\addPLUS@
+\xywarnifdefined\addDASH@
+\xywarnifdefined\addDOT@
+\xywarnifdefined\addLT@
+\xywarnifdefined\addEQ@
+\xywarnifdefined\addGT@
+\xywarnifdefined\addLQ@
+\xydef@\xymakeADD@#1#2 #3 {\ifnum\catcode#3=6 \def#1##1{##1#2#2}%
+ \else \def#1##1{##1#2}\fi}
+\xydef@\xyrecat@{\xymakeADD@\addAT@}
+\xydef@\xyrecat{\xyrecat@}
+\xydef@\xyresetcatcodes{\def\xyrecat{\xyrecat@}\xyreuncatcodes
+ \input xyrecat \relax \xyuncatcodes}
+\xyuncatcodes \xyresetcatcodes \xycatcodes
+\xydef@\testAND@{{\aftergroup\ifx 
+ \addAND@\ifx\next\addFalse@\else\addTrue@\fi}}
+\xydef@\addFalse@{\aftergroup\iffalse}
+\xydef@\addTrue@{\aftergroup\iftrue}
+\input xyidioms
+\xydef@\stripRCS$#1${\stripRCS@#1: @@ @@@}
+\xydef@\stripRCS@#1: #2@ #3@@@{%
+ \ifx @#2\string?\else\ifx :#2\else\stripRCS@@#2\fi\fi}
+\xydef@\stripRCS@@#1 #2: @{#1}
+\edef\next{\stripRCS$Revision: 3.7 $}
+\xylet@\xyversion=\next
+\edef\next{\stripRCS$Date: 1999/02/16 15:12:50 $}
+\xylet@\xydate=\next
+\xydef@\Xygreet@{%
+ \W@{}%
+ \W@{ Xy-pic version \xyversion\space<\xydate>}%
+ \W@{ Copyright (c) 1991-1998 by Kristoffer H. Rose <krisrose@ens-lyon.fr>}%
+ \W@{ Xy-pic is free software: see the User\string's Guide for details.}%
+ \W@{}}
+\Xygreet@
+\expandafter\everyjob\expandafter{\the\everyjob\Xygreet@}
+\message{Loading kernel:}
+\xydef@\Xy{\leavevmode
+ \hbox{\kern-.1em X\kern-.3em\lower.4ex\hbox{Y\kern-.15em}}}
+\message{messages;}
+\xywarnifdefined\thelineno@
+\ifx\inputlineno\undefined \edef\thelineno@{\string?}
+\else \def\thelineno@{\the\inputlineno}\fi
+\xydef@\xytracelineno@{ \string[\jobname:\thelineno@\string]}
+\xydef@\xywarning@#1{{\newlinechar=10
+ \W@{}\W@{Xy-pic Warning: #1\xytracelineno@.}\W@{}}}
+\xydef@\xyerror@#1#2{\if\inxy@\xy@{ERROR #1}{}\fi
+ {\def\2{#2}\newlinechar=10
+ \ifx\2\empty \errhelp{See the Xy-pic manual for further information.}%
+ \else \errhelp{#2}\fi
+ \errmessage{Xy-pic error: #1}}}
+\xydef@\xybug@#1{{\newlinechar=10
+ \errhelp{This is a bug in Xy-pic and should not happen!^^J%
+If it did then please send a bug report with the offending Xy-pic code^^J%
+to the author of Xy-pic, krisrose@ens-lyon.fr.}%
+ \errmessage{Xy-pic BUG: #1 -- notify krisrose@ens-lyon.fr.}}}
+\message{fonts;}
+\xydef@\xyfont@#1{\ifx#1\undefined \DN@{\global\font#1}\expandafter\next@
+ \else \xywarning@{Using previously loaded \string#1\space font}\fi}
+\xyfont@\xydashfont=xydash10
+\xydef@\xydashl@{\fontdimen6\xydashfont}
+\xydef@\xydashh@{\fontdimen5\xydashfont}
+\xydef@\xydashw@{\fontdimen8\xydashfont}
+\xyfont@\xyatipfont=xyatip10
+\xyfont@\xybtipfont=xybtip10
+\xyfont@\xybsqlfont=xybsql10
+\xydef@\xybsqll@{\fontdimen6\xybsqlfont}
+\xydef@\xybsqlh@{\fontdimen5\xybsqlfont}
+\xydef@\xybsqlw@{\fontdimen8\xybsqlfont}
+\xyfont@\xycircfont=xycirc10
+\message{allocations:}
+\message{state,}
+\xynew@{dimen}\X@c
+\xynew@{dimen}\Y@c
+\xynew@{dimen}\U@c
+\xynew@{dimen}\D@c
+\xynew@{dimen}\L@c
+\xynew@{dimen}\R@c
+\xynew@{toks}\Edge@c
+\xynew@{dimen}\X@p
+\xynew@{dimen}\Y@p
+\xynew@{dimen}\U@p
+\xynew@{dimen}\D@p
+\xynew@{dimen}\L@p
+\xynew@{dimen}\R@p
+\xynew@{toks}\Edge@p
+\xynew@{dimen}\X@origin \X@origin=\z@
+\xynew@{dimen}\Y@origin \X@origin=\z@
+\xynew@{dimen}\X@xbase \X@xbase=1mm
+\xynew@{dimen}\Y@xbase \Y@xbase=\z@
+\xynew@{dimen}\X@ybase \X@ybase=\z@
+\xynew@{dimen}\Y@ybase \Y@ybase=1mm
+\xynew@{dimen}\X@min
+\xynew@{dimen}\Y@min
+\xynew@{dimen}\X@max
+\xynew@{dimen}\Y@max
+\xynew@{box}\lastobjectbox@
+\xynew@{box}\zerodotbox@
+\setbox\zerodotbox@=\hbox{\dimen@=.5\xydashw@
+ \kern-\dimen@ \vrule width\xydashw@ height\dimen@ depth\dimen@}
+\wd\zerodotbox@=\z@ \ht\zerodotbox@=\z@ \dp\zerodotbox@=\z@
+\xynew@{dimen}\almostz@ \almostz@=50sp
+\xydef@\zz@#1{\ifdim#1<\z@-\fi#1<\almostz@\relax}
+\xynew@{if}\iftmp@
+\message{direction,}
+\xynew@{dimen}\d@X
+\xynew@{dimen}\d@Y
+\xydef@\sd@X{}
+\xydef@\sd@Y{}
+\xynew@{count}\K@ \K@=1024
+\xynew@{count}\KK@ \KK@=32
+\xynew@{count}\Direction
+\xynew@{dimen}\K@dXdY
+\xynew@{dimen}\K@dYdX
+\xydef@\cosDirection{}
+\xydef@\sinDirection{}
+\xywarnifdefined\DirectionChar
+\xywarnifdefined\SemiDirectionChar
+\xynew@{read}\xyread@
+\xynew@{write}\xywrite@
+\xynew@{count}\csp@
+\xynew@{dimen}\quotPTK@
+\message{utility macros;}
+\xydef@\addtotoks@#1{\toks@=\expandafter{\the\toks@#1}}
+\xydef@\xyinputorelse@#1#2{%
+ \expandafter\let\expandafter\next@\csname#1loaded\endcsname
+ \ifx\next@\empty \else
+ \DN@{\xyinputorelse@@{#1}{\xyinputorelse@@{#1.doc}{#2}}}%
+ \fi \next@}
+\xydef@\xyinputorelse@@#1#2{\openin\xyread@=#1
+ \ifeof\xyread@ \DN@{#2}\else \DN@{\closein\xyread@\input#1 }\fi \next@}
+\global\csp@=\z@
+\xydef@\enter@#1{\global\advance\csp@\@ne
+ \expandafter\xdef\csname cs@\number\csp@\endcsname{#1}\ignorespaces}
+\xydef@\nter@#1{\global\advance\csp@\@ne
+ \expandafter\gdef\csname cs@\number\csp@\endcsname{#1}\ignorespaces}
+\xydef@\dontleave@{\csname cs@\number\csp@\endcsname}
+\xydef@\unenter@{\global\advance\csp@\m@ne}
+\xydef@\leave@{\expandafter\unenter@\csname cs@\number\csp@\endcsname}
+\quotPTK@=\p@ \divide\quotPTK@\K@
+\xylet@\quotsign@@=\empty
+\xywarnifdefined\removePT@
+{\catcode`p=12 \catcode`t=12 \gdef\removePT@#1pt{#1}}
+\xydef@\quotient@#1#2#3{\A@=#2\relax \B@=#3\relax
+ \ifdim\A@<\z@\def\quotsign@@{-}\else\def\quotsign@@{+}\fi
+ \ifdim\quotsign@@\A@<15pt \multiply\A@\K@
+ \else\ifdim\quotsign@@\A@<511pt \multiply\A@\KK@
+ \advance\B@\ifdim\B@<\z@-\fi 16sp \divide\B@\KK@
+ \else
+ \advance\B@\ifdim\B@<\z@-\fi 512sp \divide\B@\K@
+ \fi\fi
+ \ifdim\ifdim\B@<\z@-\fi\B@<\quotPTK@ \xywarning@{division overflow}%
+ \else \advance\A@.5\B@ \divide\A@\B@ \fi
+ \multiply\A@\quotPTK@ \edef#1{\expandafter\removePT@\the\A@}}
+\xydef@\quotient@@#1#2#3{\A@=#2\relax \B@=#3\relax \multiply\A@\KK@
+ \advance\B@\ifdim\B@<\z@-\fi 128sp \divide\B@\KK@ \divide\B@ 8
+ \ifdim\B@=\z@\else \advance\A@.5\B@ \divide\A@\B@ \fi
+ \B@=.125\quotPTK@ \multiply\A@\B@ \edef#1{\expandafter\removePT@\the\A@}}
+\xydef@\loop@#1\repeat@{\def\body@{#1}\iterate@}\xylet@\repeat@=\fi
+\xydef@\iterate@{\body@\expandafter\iterate@\else\fi}
+\xydef@\xyinitial@#1#2{\DN@{#1}%
+ \xyerror@{command used out of context: \codeof\next@}{}}
+\xylet@\xy@=\xyinitial@
+\xylet@\oxy@=\xy@
+\xydef@\change@oxy@#1{\let\oxy@=#1\relax
+}
+\xydef@\inxy@{T\ifx\xy@\xyinitial@ F\else T\fi}
+\xydef@\xyxy@@ix@{\begingroup
+ \xyuncatcodes\afterassignment\endgroup\global\toks9=}
+\xydef@\xy@@{\xy@{}}
+\xydef@\plainxy@{\let\xy@=\xyxy@ \change@oxy@\xy@ \let\xy@@ix@=\xyxy@@ix@}
+\message{pictures: \string\xy,}
+\xydef@\xy{\ifmmode\expandafter\xymath@\else\expandafter\xynomath@\fi}
+\xydef@\xymath@{\hbox\bgroup \dimen@=\the\fontdimen22\textfont\tw@ \xyinside@}
+\xydef@\xynomath@{\hbox\bgroup \dimen@=\z@ \xyinside@}
+\xydef@\xyinside@{%
+ \saveXyStyle@ \aftergroup\xycheck@end
+ \setboxz@h\bgroup
+ \plainxy@
+ \X@c=\z@ \Y@c=\z@ \czeroEdge@
+ \X@p=\z@ \Y@p=\z@ \U@p=\z@ \D@p=\z@ \L@p=\z@ \R@p=\z@ \Edge@p={\zeroEdge}%
+ \X@min=\hsize \X@max=-\hsize \Y@min=\hsize \Y@max=-\hsize
+ \mathsurround=\z@
+ \expandafter\POS\everyxy@@}
+\xydef@\czeroEdge@{\U@c=\z@ \D@c=\U@c \L@c=\U@c \R@c=\U@c \Edge@c={\zeroEdge}}
+\xydef@\xyxy@#1#2{#2}
+\xywarnifdefined\everyxy
+\expandafter\def\addEQ@\everyxy#1{\def\everyxy@@{#1}\ignorespaces}
+\xylet@\everyxy@@=\empty
+\xydef@\endxy{\if\inxy@\else\xyerror@{Unexpected \string\endxy}{}\fi
+ \relax
+ \dimen@=\Y@max \advance\dimen@-\Y@min
+ \ifdim\dimen@<\z@ \dimen@=\z@ \Y@min=\z@ \Y@max=\z@ \fi
+ \dimen@=\X@max \advance\dimen@-\X@min
+ \ifdim\dimen@<\z@ \dimen@=\z@ \X@min=\z@ \X@max=\z@ \fi
+ \edef\tmp@{\egroup
+ \setboxz@h{\kern-\the\X@min\boxz@}%
+ \ht\z@=\the\Y@max \dp\z@=-\the\Y@min \wdz@=\the\dimen@
+ \noexpand\maybeunraise@ \raise\dimen@\boxz@
+ \noexpand\recoverXyStyle@ \egroup \noexpand\xy@end
+ \U@c=\the\Y@max \D@c=-\the\Y@min \L@c=-\the\X@min \R@c=\the\X@max}\tmp@}
+\xydef@\maybeunraise@{\if\inxy@\else \dimen@ii=\dp\z@
+ \ifdim\dimen@ii<\z@ \advance\dimen@\dimen@ii \fi\fi}
+\xydef@\xycheck@end{\xyFN@\xycheck@end@}
+\xydef@\xycheck@end@{\ifx\next\xy@end\DN@\xy@end{}\else\DN@{\xy@end}\fi\next@}
+\xydef@\xy@end{%
+ \xyerror@{An \string\xy\space environment is not closed correctly.}%
+ {I expected \string\endxy. You probably have an umatched {} grouping.}}
+\message{positions,}
+\xydef@\POS{\afterPOS{}}
+\xydef@\afterPOS#1{%
+ \DN@##1{\def\afterPOS@{\def\afterPOS@{##1}#1}}%
+ \expandafter\next@\expandafter{\afterPOS@}%
+ \afterCOORD{\xyFN@\POS@}}
+\xylet@\afterPOS@=\empty
+\xydef@\afterCOORD#1{%
+ \DN@##1{\def\afterCOORD@{\def\afterCOORD@{##1}#1}}%
+ \expandafter\next@\expandafter{\afterCOORD@}%
+ \afterVECTORorEMPTY{\xy@@\czeroEdge@ \afterCOORD@}{\xyFN@\COORD@}}
+\xylet@\afterCOORD@=\empty
+\xydef@\afterVECTORorEMPTY#1#2{%
+ \DN@##1{\def\afterVECTOR@{\def\afterVECTOR@{##1}%
+ \ifVECTORempty@\DN@{#2}\else\DN@{#1}\fi \next@}}%
+ \expandafter\next@\expandafter{\afterVECTOR@}%
+ \xyFN@\VECTOR@}
+\xynew@{if}\ifVECTORempty@
+\xylet@\afterVECTOR@=\empty
+\xydef@\xyVECTOR@{%
+ \ifx \space@\next \expandafter\DN@\space{\xyFN@\VECTOR@}%
+ \else \ifcat A\noexpand\next \let\next@=\VECTOR@letter
+ \else \let\next@=\VECTOR@other \fi\fi \next@}
+\xylet@\VECTOR@=\xyVECTOR@
+\def\notrelaxorelse@#1#2{\ifx#1\relax \expandafter#2\else\expandafter#1\fi}
+\xydef@\VECTOR@letter{%
+ \ifx a\next \expandafter\VECTOR@a \else \expandafter\CORNER@ \fi}
+\xydef@\VECTOR@a a(#1){\xy@{a(#1)}{\vfromcartesianangle@{#1}}%
+ \VECTORempty@false \afterVECTOR@}
+\xydef@\CORNER@{%
+ \xy@{}{\A@=-.5\L@c \advance\A@.5\R@c \B@=-.5\D@c \advance\B@.5\U@c
+ \let\nextii@=\zeroit@}%
+ \VECTORempty@true\CORNER@i}
+\xydef@\zeroit@#1{#1=\z@}
+\xydef@\CORNER@i{%
+ \ifx D\next \DN@ D{\xy@{D}{\Y@c=-\D@c \nextii@\X@c \B@=\Y@c}\CORNER@ii}%
+ \else\ifx U\next \DN@ U{\xy@{U}{\Y@c= \U@c \nextii@\X@c \B@=\Y@c}\CORNER@ii}%
+ \else\ifx L\next \DN@ L{\xy@{L}{\X@c=-\L@c \nextii@\Y@c \A@=\X@c}\CORNER@ii}%
+ \else\ifx R\next \DN@ R{\xy@{R}{\X@c= \R@c \nextii@\Y@c \A@=\X@c}\CORNER@ii}%
+ \else\ifx C\next \DN@ C{\xy@{C}{\X@c= \A@ \Y@c= \B@}\CORNER@ii}%
+ \else\ifx E\next \DN@ E{\xy@{E}{%
+ \A@=\X@c \B@=\Y@c \the\Edge@c\z@ \advance\X@c-\A@ \advance\Y@c-\B@}%
+ \CORNER@ii}%
+ \else\ifx P\next \DN@ P{\xy@{P}{%
+ \A@=\X@c \B@=\Y@c \the\Edge@c\thr@@ \advance\X@c-\A@ \advance\Y@c-\B@}%
+ \CORNER@ii}%
+ \else\ifx (\next
+ \DN@(##1){\xy@{(##1)}{\X@c=##1\X@c \Y@c=##1\Y@c}\afterVECTOR@}%
+ \else \let\next@=\afterVECTOR@
+ \fi\fi\fi\fi\fi\fi\fi\fi \next@}
+\xydef@\CORNER@ii{\xy@@{\let\nextii@=\eat@}%
+ \VECTORempty@false \xyFN@\CORNER@i}
+\xydef@\VECTOR@other{%
+ \addLT@\ifx \next
+ \addGT@{\addLT@\DN@##1}{\xy@{<##1>}{\vfromabsolute@{##1}}%
+ \VECTORempty@false\afterVECTOR@}%
+ \else\ifx (\next
+ \DN@({\xyFN@\VECTOR@other@open}%
+ \else\ifx /\next
+ \DN@/##1/{\xy@@ix@{{##1}}%
+ \xy@{/##1/}{\expandafter\vfromslide@\the\toks9 }%
+ \VECTORempty@false\afterVECTOR@}%
+ \else\ifx 0\next
+ \DN@ 0{\xy@{0}{\X@c=\z@ \Y@c=\z@}\VECTORempty@false\afterVECTOR@}%
+ \else
+ \DN@{\VECTORempty@true\afterVECTOR@}%
+ \fi\fi\fi\fi \next@}
+\xydef@\VECTOR@other@open{%
+ \ifx *\next \DN@{\VECTORempty@true \xyFN@\afterVECTOR@(}%
+ \else
+ \DN@##1){\xy@{(##1)}{\vfromcartesian@{##1}}\VECTORempty@false\afterVECTOR@}%
+ \fi \next@}
+\xydef@\xyCOORD@{%
+ \ifx \space@\next \expandafter\DN@\space{\xyFN@\COORD@}%
+ \else \ifcat A\noexpand\next \let\next@=\xyCOORD@letter
+ \else \let\next@=\xyCOORD@other \fi\fi \next@}
+\xylet@\COORD@=\xyCOORD@
+\xydef@\xyCOORD@letter{%
+ \ifx c\next
+ \DN@ c{\xy@{c}{}\afterCOORD@}%
+ \else\ifx p\next
+ \DN@ p{\xy@{p}\cfromp@ \afterCOORD@}%
+ \else\ifx x\next
+ \DN@ x{\xy@{x}{\R@c=\X@xbase \U@c=\Y@xbase \intersect@}\afterCOORD@}%
+ \else\ifx y\next
+ \DN@ y{\xy@{y}{\R@c=\X@ybase \U@c=\Y@ybase \intersect@}\afterCOORD@}%
+ \else\ifx s\next
+ \DN@ s##1{\xy@{s{##1}}{\cfroms@{##1}}\afterCOORD@}%
+ \else \let\next@=\afterCOORD@ \fi\fi\fi\fi\fi \next@}
+\xydef@\xyCOORD@other{%
+ \ifx "\next
+ \DN@"##1"{\xy@{"##1"}{\cfromid@{##1}}\afterCOORD@}%
+ \else\ifx \bgroup\next
+ \DN@##1{\xy@{{##1}}{\enter@{\pfromthep@\basefromthebase@}}%
+ \silencexy@ \POS##1\relax \unsilencexy@ \xy@@\leave@ \afterCOORD@}%
+ \else\ifx (\next
+ \DN@({\xyFN@\xyCOORD@other@open}%
+ \else \let\next@=\afterCOORD@ \fi\fi\fi \next@}
+\xynew@{if}\ifsilentxy@
+\xydef@\silencexy@{%
+ \ifsilentxy@ \nter@{}%
+ \else \nter@{\silentxy@false \let\xy@=\unsilent@@xy@}
+ \silentxy@true \let\unsilent@@xy@=\xy@ \def\xy@##1##2{\unsilent@@xy@{}{##2}}%
+ \fi}
+\xydef@\unsilencexy@{\leave@}
+\xydef@\xyCOORD@other@open{%
+ \ifx *\next
+ \DN@*##1*){\xy@{(*}{\enter@{\pfromthep@\basefromthebase@}}%
+ \POS##1\relax \xy@{*)}\leave@ \afterCOORD@}%
+ \else \DN@{\xyFN@\afterCOORD@(}%
+ \fi \next@}
+\xydef@\xyPOS@{%
+ \ifx \space@\next \expandafter\DN@\space{\xyFN@\POS@}%
+ \else\addPLUS@\ifx \next
+ \addPLUS@\DN@{\xy@+{\enter@\cplusthec@}%
+ \afterCOORD{\xy@@\leave@ \xyFN@\POS@}}%
+ \else\addDASH@\ifx \next
+ \addDASH@\DN@{\xy@-{\enter@\cplusthec@}%
+ \afterCOORD{\xy@@{\X@c=-\X@c \Y@c=-\Y@c\leave@}\xyFN@\POS@}}%
+ \else\ifx !\next
+ \DN@ !{\xy@!{\enter@\cskewthec@}\afterCOORD{\xy@@\leave@ \xyFN@\POS@}}%
+ \else\addDOT@\ifx \next
+ \addDOT@\DN@{\xy@.{\enter@\cmergethec@}%
+ \afterCOORD{\xy@@\leave@ \xyFN@\POS@}}%
+ \else\ifx ,\next
+ \DN@ ,{\xy@,{\comma@@}\afterCOORD{\xyFN@\POS@}}%
+ \else\ifx ;\next
+ \DN@ ;{\xy@;{\swap@}\afterCOORD{\xyFN@\POS@}}%
+ \else\ifx :\next
+ \DN@ :{\xyFN@\POS@colon}%
+ \else\addEQ@\ifx \next
+ \addEQ@\DN@{\xyFN@\saveid@}%
+ \else\ifx *\next
+ \DN@ *{\xyFN@\POS@star}%
+ \else \ifx ?\next
+ \DN@?{\xy@?{}\afterPLACE{\xyFN@\POS@}}%
+ \else \addAT@\ifx \next
+ \addAT@\DN@{\xyFN@\STACK@}%
+ \else
+ \let\next@=\afterPOS@
+ \fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi \next@}
+\xylet@\comma@@=\relax
+\xylet@\POS@=\xyPOS@
+\xydef@\POS@colon{\DNii@{\afterCOORD{\xyFN@\POS@}}%
+ \ifx :\next \xy@{::}{\setbase@@\X@c\Y@c}\DN@:{\nextii@}%
+ \else \xy@:{\setbase@\X@p\Y@p\X@c\Y@c}\let\next@=\nextii@ \fi
+ \next@}
+\xydef@\POS@star{%
+ \ifx *\next
+ \DN@*##1##{\nextii@{##1}}%
+ \DNii@##1##2{\xy@@ix@{{##1}{##2}}%
+ \xy@{**##1{##2}}{\expandafter\connect@\the\toks9 }\xyFN@\POS@}%
+ \else
+ \DN@##1##{\nextii@{##1}}%
+ \DNii@##1##2{\xy@@ix@{{##1}{##2}}%
+ \xy@{*##1{##2}}{\expandafter\drop@\the\toks9 }\xyFN@\POS@}%
+ \fi
+ \next@}
+\xydef@\cfromp@{\X@c=\X@p \Y@c=\Y@p \U@c=\U@p \D@c=\D@p \L@c=\L@p \R@c=\R@p
+ \Edge@c=\expandafter{\the\Edge@p}}
+\xydef@\pfromc@{\X@p=\X@c \Y@p=\Y@c \U@p=\U@c \D@p=\D@c \L@p=\L@c \R@p=\R@c
+ \Edge@p=\expandafter{\the\Edge@c}}
+\xydef@\swapdimen@#1#2{\dimen@=#1\relax #1=#2\relax #2=\dimen@}
+\xynew@{toks}\swaptoks@@
+\xydef@\swap@{\swapdimen@\X@c\X@p \swapdimen@\Y@c\Y@p
+ \swapdimen@\U@c\U@p\swapdimen@\D@c\D@p \swapdimen@\L@c\L@p\swapdimen@\R@c\R@p
+ \swaptoks@@=\Edge@c \Edge@c=\Edge@p \Edge@p=\swaptoks@@}
+\xydef@\vfromabsolute@#1{\vfromabsolute@@#1,@}
+\xydef@\vfromabsolute@@#1,#2@{\X@c=#1\relax
+ \DN@{#2}\ifx\next@\empty \Y@c=\X@c
+ \else \DN@##1,{\Y@c=##1}\next@#2\relax \fi
+}
+\xydef@\cfromthec@{\X@c=\the\X@c \Y@c=\the\Y@c
+ \U@c=\the\U@c \D@c=\the\D@c \L@c=\the\L@c \R@c=\the\R@c
+ \Edge@c={\expandafter\noexpand\the\Edge@c}}
+\xydef@\cfromthep@{\X@c=\the\X@p \Y@c=\the\Y@p
+ \U@c=\the\U@p \D@c=\the\D@p \L@c=\the\L@p \R@c=\the\R@p
+ \Edge@c={\expandafter\noexpand\the\Edge@p}}
+\xydef@\pfromthep@{\X@p=\the\X@p \Y@p=\the\Y@p
+ \U@p=\the\U@p \D@p=\the\D@p \L@p=\the\L@p \R@p=\the\R@p
+ \Edge@p={\expandafter\noexpand\the\Edge@p}}
+\xydef@\pfromthec@{\X@p=\the\X@c \Y@p=\the\Y@c
+ \U@p=\the\U@c \D@p=\the\D@c \L@p=\the\L@c \R@p=\the\R@c
+ \Edge@p={\expandafter\noexpand\the\Edge@c}}
+\xydef@\cplusthec@{\advance\X@c\the\X@c \advance\Y@c\the\Y@c}
+\xydef@\cskewthec@{%
+ \noexpand\cskew@{\the\Y@c}{\the\X@c}{\the\D@c}{\the\U@c}{\the\L@c}{\the\R@c}}
+\xydef@\cskew@#1#2#3#4#5#6{%
+ \D@c=#3\advance\D@c \Y@c \ifdim\D@c<\z@ \D@c=\z@ \fi
+ \U@c=#4\advance\U@c-\Y@c \ifdim\U@c<\z@ \U@c=\z@ \fi
+ \advance\Y@c#1%
+ \L@c=#5\advance\L@c \X@c \ifdim\L@c<\z@ \L@c=\z@ \fi
+ \R@c=#6\advance\R@c-\X@c \ifdim\R@c<\z@ \R@c=\z@ \fi
+ \advance\X@c#2%
+ \Edge@c={\rectangleEdge}}
+\xydef@\cmergethec@{%
+ \noexpand\cmerge@{\the\Y@c}{\the\X@c}{\the\D@c}{\the\U@c}{\the\L@c}{\the\R@c}}
+\xydef@\cmerge@#1#2#3#4#5#6{\the\Edge@c4%
+ \A@=#2\advance\A@-\X@c \B@=#1\advance\B@-\Y@c
+ \dimen@=#5\advance\L@c \A@ \ifdim\L@c<\dimen@ \L@c=\dimen@ \fi
+ \dimen@=#6\advance\R@c-\A@ \ifdim\R@c<\dimen@ \R@c=\dimen@ \fi
+ \dimen@=#3\advance\D@c \B@ \ifdim\D@c<\dimen@ \D@c=\dimen@ \fi
+ \dimen@=#4\advance\U@c-\B@ \ifdim\U@c<\dimen@ \U@c=\dimen@ \fi
+ \advance\X@c\A@ \advance\Y@c\B@}
+\xydef@\halfroottwo{.70710678}
+\xydef@\partroottwo{.29289322}
+\xydef@\halfrootthree{.8660254}
+\xydef@\vfromcartesian@#1{\vfromcartesian@@#1@}
+\xydef@\vfromcartesian@@#1,#2@{%
+ \X@c=\X@origin \advance\X@c#1\X@xbase \advance\X@c#2\X@ybase
+ \Y@c=\Y@origin \advance\Y@c#1\Y@xbase \advance\Y@c#2\Y@ybase}
+\xydef@\setbase@#1#2#3#4{%
+ \X@origin=#1\relax \Y@origin=#2\relax
+ \X@xbase=#3\relax \advance\X@xbase-\X@origin
+ \Y@xbase=#4\relax \advance\Y@xbase-\Y@origin
+ \X@ybase=-\Y@xbase \Y@ybase=\X@xbase}
+\xydef@\setbase@@#1#2{%
+ \X@ybase=#1\relax \advance\X@ybase-\X@origin
+ \Y@ybase=#2\relax \advance\Y@ybase-\Y@origin}
+\xydef@\basefromthebase@{\X@origin=\the\X@origin \Y@origin=\the\Y@origin
+ \X@xbase=\the\X@xbase \Y@xbase=\the\Y@xbase
+ \X@ybase=\the\X@ybase \Y@ybase=\the\Y@ybase}
+\xydef@\vfromcartesianangle@#1{\enter@\basefromthebase@ \R@=#1\p@
+ \B@=360\p@
+ \loop@ \ifdim\R@<\z@ \advance\R@\B@ \repeat@
+ \loop@ \ifdim\R@>\B@ \advance\R@-\B@ \repeat@
+ \ifdim\R@<.5\B@\else \R@=-\R@ \advance\R@\B@
+ \X@ybase=-\X@ybase \Y@ybase=-\Y@ybase \fi
+ \B@=180\p@
+ \ifdim\R@<.5\B@\else \R@=-\R@ \advance\R@\B@
+ \X@xbase=-\X@xbase \Y@xbase=-\Y@xbase \fi
+ \B@=90\p@
+ \ifdim\R@<.5\B@ \let\nextiii@=\literal@
+ \else \R@=-\R@ \advance\R@\B@ \def\nextiii@##1,##2@{##2,##1@}\fi
+ \dimen@=\z@ \DN@{1,0@}%
+ \dimen@ii=45\p@ \DNii@{.70710678,.70710678@}%
+ \chooseangleinterval@
+ {\chooseangleinterval@
+ {\chooseangleinterval@
+ {\chooseangleinterval@
+ {\chooseangleinterval@
+ {}%
+ {4.090909}{.99677570,.08023846@}%
+ {}}%
+ {6}{.99452190,.10452846@}%
+ {\chooseangleinterval@
+ {}%
+ {8.181818}{.98982144,.14231484@}%
+ {}}}%
+ {10}{.98480775,.17364818@}%
+ {\chooseangleinterval@
+ {}%
+ {12.857143}{.97492791,.22252093@}%
+ {}}}%
+ {15}{.96592583,.25881905@}%
+ {\chooseangleinterval@
+ {\chooseangleinterval@
+ {}%
+ {16.363636}{.95949297,.28173256@}%
+ {}}%
+ {18}{.95105652,.30901699@}%
+ {\chooseangleinterval@
+ {}%
+ {20}{.93969262,.34202014@}%
+ {}}}}%
+ {22.5}{.92387953,.38268343@}%
+ {\chooseangleinterval@
+ {\chooseangleinterval@
+ {\chooseangleinterval@
+ {}%
+ {24.545455}{.90963200,.41541501@}%
+ {}}%
+ {25.714286}{.90096887,.43388374@}%
+ {}}%
+ {30}{.86602540,.5@}%
+ {\chooseangleinterval@
+ {\chooseangleinterval@
+ {}%
+ {32.727273}{.84125353,.54064082@}%
+ {}}%
+ {36}{.80901699,.58778525@}%
+ {\chooseangleinterval@
+ {\chooseangleinterval@
+ {}%
+ {38.571429}{.78183148,.62348980@}%
+ {}}%
+ {40.909091}{.75574957,.65486073@}%
+ {\chooseangleinterval@
+ {}%
+ {40}{.76604444,.64278761@}%
+ {}}}}}%
+ \A@=\R@ \advance\A@-\dimen@
+ \ifdim\ifdim\A@<\z@-\fi\A@<.01\p@ \edef\next@{\expandafter\nextiii@\next@}%
+ \else \B@=\dimen@ii \advance\B@-\R@ 
+ \ifdim\A@<\B@ \dimen@=\toradians@\A@
+ \edef\next@{\next@ \expandafter\removePT@\the\dimen@ @}%
+ \else \dimen@=-\toradians@\B@
+ \edef\next@{\nextii@ \expandafter\removePT@\the\dimen@ @}%
+ \fi
+ \expandafter\interpolatepoint@\next@
+ \edef\next@{\expandafter\nextiii@\next@}%
+ \fi 
+ \expandafter\vfromcartesian@@\next@
+ \leave@}
+\xydef@\chooseangleinterval@#1#2#3#4{%
+ \B@=#2\p@ \def\next{#3}%
+ \ifdim\R@<\B@ \dimen@ii=\B@ \let\nextii@=\next #1%
+ \else \dimen@=\B@ \let\next@=\next \ifdim\B@<\R@ #4\fi\fi}
+\xydef@\interpolateinterval@#1,#2@#3,#4@{%
+ \A@=#1\p@ \dimen@=#3\p@ \advance\dimen@-\A@ \advance\A@\next\dimen@
+ \B@=#2\p@ \dimen@=#4\p@ \advance\dimen@-\B@ \advance\B@\next\dimen@
+ \edef\next@{\expandafter\removePT@\the\A@,\expandafter\removePT@\the\B@ @}}
+\xydef@\toradians@{0.01745329}
+\xydef@\interpolatepoint@#1,#2@#3@{%
+ \A@=#1\p@ \dimen@ii=#3\A@ \dimen@ii=-.5\dimen@ii \advance\A@#3\dimen@ii
+ \dimen@=-#2\p@ \advance\A@#3\dimen@
+ \B@=#2\p@ \dimen@ii=#3\B@ \dimen@ii=-.5\dimen@ii \advance\B@#3\dimen@ii
+ \dimen@=#1\p@ \advance\B@#3\dimen@
+ \edef\next@{\expandafter\removePT@\the\A@,\expandafter\removePT@\the\B@ @}}
+\xydef@\drop@#1#2{%
+ \global\setbox\lastobjectbox@=\object#1{#2}%
+ \ifHidden@ \dimen@=\X@c \advance\dimen@-\L@c \else
+ \dimen@=\Y@c \advance\dimen@ \U@c \ifdim\Y@max<\dimen@ \Y@max=\dimen@ \fi
+ \dimen@=\Y@c \advance\dimen@-\D@c \ifdim\dimen@<\Y@min \Y@min=\dimen@ \fi
+ \dimen@=\X@c \advance\dimen@ \R@c \ifdim\X@max<\dimen@ \X@max=\dimen@ \fi
+ \dimen@=\X@c \advance\dimen@-\L@c \ifdim\dimen@<\X@min \X@min=\dimen@ \fi
+ \fi
+ \ifInvisible@\else
+ \setboxz@h{\kern\dimen@ \raise\Y@c\box\lastobjectbox@}%
+ \ht\z@=\z@ \dp\z@=\z@ \wd\z@=\z@ {\Drop@@}\fi}
+\xydef@\connect@#1#2{\setupDirection@ \enter@{\cfromthec@}%
+ \global\setbox\lastobjectbox@=\object#1{#2}\leave@
+ \Connect@@}
+\xydef@\preconnect@#1#2{\setupDirection@ \enter@{\cfromthec@}%
+ \global\setbox\lastobjectbox@=\object#1{#2}\leave@ \connectStore@
+ \ifInvisible@ \Connect@@ \else \Invisible@true\Connect@@\Invisible@false \fi}
+\xynew@{box}\connectobjectbox@@
+\xylet@\connectDrop@@=\empty
+\xylet@\connectpreXY@style@=\empty
+\xylet@\connectpostXY@style@=\empty
+\xylet@\connectRest@@=\empty
+\xydef@\connectStore@{%
+ \global\setbox\connectobjectbox@@=\copy\lastobjectbox@
+ \let\connectDrop@@=\Drop@@
+ \let\connectpreXY@style@ =\preXY@style@ 
+ \let\connectpostXY@style@=\postXY@style@
+ \xdef\connectRest@@{%
+ \def\noexpand\Upness@{\Upness@}%
+ \def\noexpand\Leftness@{\Leftness@}%
+ \ifInvisible@ \noexpand\Invisible@true \else \noexpand\Invisible@false \fi
+ \ifHidden@ \noexpand\Hidden@true \else \noexpand\Hidden@false \fi}}
+\xydef@\connectRestore@{%
+ \ifvbox\connectobjectbox@@
+ \setbox\lastobjectbox@=\copy\voidb@x
+ \else
+ \global\setbox\lastobjectbox@=\copy\connectobjectbox@@
+ \fi
+ \let\Drop@@=\connectDrop@@
+ \global\let\preXY@style@ =\connectpreXY@style@ 
+ \global\let\postXY@style@=\connectpostXY@style@
+ \connectRest@@}
+\xydef@\afterPLACE#1{%
+ \DN@##1{\def\afterPLACE@{\xy@@\leave@ \def\afterPLACE@{##1}#1}}%
+ \expandafter\next@\expandafter{\afterPLACE@}%
+ \def\PLACEf@{{.5}}%
+ \xy@@{\enter@{\pfromthep@}%
+ \Creset@@ \def\PLACEf@{{.5}}%
+ \let\PLACEedgep@@=\PLACEedgep@ \let\PLACEedgec@@=\PLACEedgec@}%
+ \xyFN@\PLACE@}
+\xydef@\PLACEf@{}
+\xydef@\PLACEedgep@@{}
+\xydef@\PLACEedgec@@{}
+\xydef@\PLACEedgep@{\Cshavep@@ \def\PLACEedgep@@{\Cslidep@@\jot}}
+\xydef@\PLACEedgec@{\Cshavec@@ \def\PLACEedgec@@{\Cslidec@@{-\jot}}}
+\xylet@\afterPLACE@=\empty
+\xydef@\PLACE@{%
+ \ifx \space@\next \expandafter\DN@\space{\xyFN@\PLACE@}%
+ \else\addLT@\ifx \next
+ \addLT@\DN@{\addLT@\xy@{\def\PLACEf@{{0}}\PLACEedgep@@}\xyFN@\PLACE@}%
+ \else\addGT@\ifx \next
+ \addGT@\DN@{\addGT@\xy@{\def\PLACEf@{{1}}\PLACEedgec@@}\xyFN@\PLACE@}%
+ \else\ifx (\next
+ \DN@(##1){\def\PLACEf@{{##1}}\xy@{(##1)}{\def\PLACEf@{{##1}}}\xyFN@\PLACE@}%
+ \else\ifx !\next
+ \DN@!{\xyFN@\PLACE@intercept}%
+ \else
+ \DN@{\xy@@{\expandafter\Calong@@\PLACEf@ \czeroEdge@}\PLACE@@}%
+ \fi\fi\fi\fi\fi \next@}
+\xydef@\PLACE@intercept{%
+ \ifx \space@\next \expandafter\DN@\space{\xyFN@\PLACE@intercept}%
+ \else\ifx \bgroup\next
+ \DN@##1{\xy@{!{##1}}{}\PLACE@intercept@{##1}}%
+ \else\ifx (\next
+ \DN@(*##1*){\xy@{!(*##1*)}{}\PLACE@intercept@{##1}}%
+ \else \DN@{\xyerror@{{<pos>} expected after ! in <place>}{}}%
+ \fi\fi\fi \next@}
+\xydef@\PLACE@intercept@#1{%
+ \xy@@{\enter@{\pfromthep@\basefromthebase@}\begingroup}%
+ \xy@@ix@{#1}\xy@@{\plainxy@ \expandafter\POS\the\toks9\relax
+ \edef\next@{\endgroup
+ \X@c =\the\X@c \Y@c=\the\Y@c \X@p=\the\X@p \Y@p=\the\Y@p}%
+ \next@ \Cintercept@@ \leave@}%
+ \PLACE@@}
+\xydef@\PLACE@@{%
+ \ifx \space@\next \expandafter\DN@\space{\xyFN@\PLACE@@}%
+ \else\ifx /\next \DN@/##1/{\xy@{/##1/}{\Cslidec@@{##1}}\afterPLACE@}%
+ \else \let\next@=\afterPLACE@
+ \fi\fi \next@}
+\xydef@\intersect@{%
+ \d@X=\X@c \advance\d@X-\X@p \d@Y=\Y@c \advance\d@Y-\Y@p
+ \A@=\X@c \advance\A@-\X@origin \B@=\Y@c \advance\B@-\Y@origin
+ \edef\next@{\expandafter\removePT@\the\R@c}%
+ \edef\nextii@{\expandafter\removePT@\the\U@c}%
+ \D@c=\next@\d@Y \advance\D@c-\nextii@\d@X \divide\D@c\KK@
+ \L@c=\next@\B@ \advance\L@c-\nextii@\A@ \divide\L@c\KK@
+ \ifdim\D@c=\z@\zeroDivide@\else \quotient@\next@\L@c\D@c \fi
+ \advance\X@c-\next@\d@X \advance\Y@c-\next@\d@Y
+ \czeroEdge@}
+\xydef@\zeroDivide@@{\zeroDivide@message{\intersect@}{treated as 0}\DN@{0}}
+\xydef@\zeroDivide@message#1#2{\xywarning@{division by 0 in \string#1, #2}}
+\xylet@\zeroDivide@=\zeroDivide@@
+\xydef@\zeroDivideLimit@@{\ifdim\L@c=\z@ \DN@{0}%
+ \else\ifdim\L@c<\z@\DN@{-\zeroDivide@Limit}%
+ \else\DN@{\zeroDivide@Limit}\fi\fi
+ \zeroDivide@message{\intersect@}{replaced by \zeroDivide@Limit}}
+\xydef@\zeroDivideLimit@#1{\edef\zeroDivide@Limit{#1}%
+ \let\zeroDivide@=\zeroDivideLimit@@}
+\xylet@\zeroDivideLimit=\zeroDivideLimit@
+\xydef@\vfromslide@#1{\enter@\DirectionfromtheDirection@ \begingroup
+ \plainxy@\afterDIRECTIONorEMPTY\vfromslide@i\vfromslide@i#1@}
+\xydef@\vfromslide@i#1@{\DN@{#1}%
+ \edef\next{\endgroup
+ \ifx\next@\empty \dimen@=.5pc \else \dimen@=#1\relax \fi
+ \X@c=\cosDirection\dimen@ \Y@c=\sinDirection\dimen@}\next
+ \leave@}
+\xydef@\s@bot{-1}
+\xydef@\s@top{-1}
+\xydef@\cfroms@#1{\tests@{#1}\runs@\outofranges@}
+\xydef@\tests@#1#2#3{\DN@{#3}%
+ \count@=\s@top \advance\count@-#1\relax
+ \ifnum\count@>\s@bot\relax \ifnum\count@>\s@top\else\DN@{#2}\fi\fi
+ \next@}
+\xydef@\runs@{\csname S@\the\count@\endcsname}
+\xydef@\outofranges@{\count@=\s@top \advance\count@-\s@bot
+ \xyerror@{stack index out of range (should be 0..\the\count@)}{}}
+\xydef@\STACK@{%
+ \addPLUS@\ifx\next
+ \addPLUS@\DN@{\xy@{@+}{}\afterCOORD{\xy@@\spushc@ \xyFN@\POS@}}%
+ \else\addDASH@\ifx\next
+ \addDASH@\DN@{\xy@{@-}{}\afterCOORD{\xy@@\spop@ \xyFN@\POS@}}%
+ \else \ifx i\next \DN@ i{\xy@{@i}\sinit@ \xyFN@\POS@}%
+ \else \ifx (\next \DN@ ({\xy@{@(}\senter@ \xyFN@\POS@}%
+ \else \ifx )\next \DN@ ){\xy@{@)}\sleave@ \xyFN@\POS@}%
+ \else\addEQ@\ifx\next \addEQ@\DN@{\STACK@load}%
+ \else\addAT@\ifx\next \addAT@\DN@{\xy@{@@}{}\smap@}%
+ \else \DN@##1{\xyerror@{illegal stack command ##1}{}\afterCOORD{\xyFN@\POS@}}%
+ \fi\fi\fi\fi\fi\fi\fi \next@}
+\xydef@\STACK@load{\xy@{@=}{%
+ \if\sempty@\else \xywarning@{loading on top of non-empty stack}\sinit@ \fi
+ \let\comma@@=\spushc@}%
+ \afterCOORD{\xy@@{\spushc@ \let\comma@@=\relax}\xyFN@\POS@}}
+\xydef@\spushc@{%
+ \count@=\s@top \advance\count@\@ne \edef\s@top{\the\count@}%
+ \expandafter\edef\csname S@\s@top\endcsname{\cfromthec@}}
+\xydef@\spushid@#1{\DNii@{#1}\edef\nextii@{\codeof\nextii@}%
+ \expandafter\let\expandafter\next@\csname Q@\nextii@\endcsname
+ \ifx\next@\relax \xyerror@{<pos> \string"\nextii@\string" not defined}{}%
+ \else
+ \count@=\s@top \advance\count@\@ne \edef\s@top{\the\count@}%
+ \DNii@##1{\expandafter\def\csname S@\s@top\endcsname{##1}}%
+ \expandafter\nextii@\expandafter{\next@}%
+ \fi}
+\xydef@\idfroms@#1#2{%
+ \tests@{#2}{\DN@{\idfromxy@{#1}}%
+ \expandafter\expandafter\expandafter\next@
+ \expandafter\expandafter\expandafter{\csname S@\the\count@\endcsname}%
+ }\outofranges@}
+\xydef@\spop@{\count@=\s@top
+ \ifnum\count@>\s@bot \advance\count@\m@ne \edef\s@top{\the\count@}%
+ \else \xyerror@{nothing to pop from stack}{}\fi}
+\xydef@\sinit@{\edef\s@top{\s@bot}}
+\xydef@\senter@{%
+ \count@=\s@top \advance\count@\@ne
+ \expandafter\edef\csname S@\the\count@\endcsname{\s@bot}%
+ \edef\s@bot{\the\count@}\edef\s@top{\the\count@}}
+\xydef@\sleave@{%
+ \ifnum\s@bot=\s@top\else \xywarning@{leaving non-empty stack}\sinit@ \fi
+ \ifnum\s@bot>\m@ne \edef\s@bot{\csname S@\s@top\endcsname}%
+ \count@=\s@top \advance\count@\m@ne \edef\s@top{\the\count@}%
+ \edef\sbot{\the\count@}\fi}
+\xydef@\sempty@{\ifnum\s@top=\s@bot TT\else TF\fi}
+\xydef@\xytotoks@#1#2{\addtotoks@{#2}}
+\xydef@\xytotoks@@toksix@#1{\addtotoks@{\toks9={#1}}}
+\xydef@\smap@{%
+ \begingroup \toks@={}\let\xy@=\xytotoks@ \change@oxy@\xy@
+ \let\xy@@ix@=\xytotoks@@toksix@
+ \afterCOORD{\expandafter\endgroup
+ \expandafter\smapxy@@\expandafter{\the\toks@}\xyFN@\POS@}}
+\xydef@\smapxy@@#1{\xy@@{\edef\smapp@@{\s@bot}\smapxy@i{#1}}}
+\xylet@\smapp@@=\empty
+\xydef@\smapxy@i#1{%
+ \ifnum\smapp@@<\s@top
+ \count@=\smapp@@ \advance\count@\@ne \edef\smapp@@{\the\count@}%
+ \DN@{\csname S@\smapp@@\endcsname #1\relax \smapxy@i{#1}}%
+ \else \let\next@=\relax
+ \fi \next@}
+\xydef@\saveid@{%
+ \ifx \space@\next \expandafter\DN@\space{\xyFN@\saveid@}%
+ \else \ifx "\next\DN@"##1"{\xy@{="##1"}{\idfromc@{##1}}\xyFN@\POS@}%
+ \else \ifx :\next\DN@:##1"##2"{\xy@{=:"##2"}{\idfrombase@{##2}}\xyFN@\POS@}%
+ \else\addAT@\ifx\next
+ \addAT@\DN@"##1"{\xy@{=@"##1"}{\idfromstack@{##1}}\xyFN@\POS@}%
+ \else \ifx s\next
+ \DN@ s##1"##2"{\xy@{=s##1"##2"}{\idfroms@{##2}{##1}}\xyFN@\POS@}%
+ \else\addEQ@\ifx\next \let\saveid@COORD@@=\saveid@COORDii
+ \addEQ@\DN@{\xyFN@\saveid@COORD}%
+ \else \let\saveid@COORD@@=\saveid@COORDi \let\next@=\saveid@COORD
+ \fi\fi\fi\fi\fi\fi \next@}
+\xylet@\saveid@COORD@@=\relax
+\xydef@\idfromc@#1{\DN@{#1}%
+ \expandafter\edef\csname Q@\codeof\next@\endcsname{\cfromthec@}}
+\xydef@\idfrombase@#1{\DN@{#1}%
+ \expandafter\edef\csname Q@\codeof\next@\endcsname{\basefromthebase@}}
+\xydef@\idfromstack@#1{%
+ \toks@={\if\sempty@\else
+ \xywarning@{loading on top of non-empty stack}\sinit@ \fi}%
+ \count@=\s@bot \advance\count@\@ne
+ \ifnum\count@>\s@top\else
+ \loop@
+ \expandafter\let\expandafter\next@\csname S@\the\count@\endcsname
+ \expandafter\addtotoks@\expandafter{\next@}%
+ \ifnum\count@<\s@top \advance\count@\@ne \addtotoks@{\spushc@}\repeat@
+ \fi
+ \DN@{#1}\edef\next@##1{%
+ \def\expandafter\noexpand\csname Q@\codeof\next@\endcsname{##1}}%
+ \expandafter\next@\expandafter{\the\toks@}}
+\xydef@\saveid@COORD{%
+ \begingroup \toks@={}\let\xy@=\xytotoks@ \change@oxy@\xy@
+ \let\xy@@ix@=\xytotoks@@toksix@
+ \afterCOORD{\expandafter\saveid@COORDi\expandafter{\the\toks@}}}
+\xydef@\saveid@COORDi#1#2"#3"{\endgroup \xy@@{\idfromxy@{#3}{#1}}\xyFN@\POS@}
+\xydef@\saveid@COORDii#1#2"#3"{\endgroup \xy@@{\idfromcxy@{#3}{#1}}\xyFN@\POS@}
+\xydef@\idfromxy@#1#2{\DN@{#1}%
+ \expandafter\def\csname Q@\codeof\next@\endcsname{#2}}
+\xydef@\idfromcxy@#1#2{\DN@{#1}%
+ \expandafter\edef\csname Q@\codeof\next@\endcsname{\cfromthec@#2}}
+\xydef@\cfromid@#1{\DNii@{#1}\edef\nextii@{\codeof\nextii@}%
+ \expandafter\let\expandafter\next@\csname Q@\nextii@\endcsname
+ \ifx\next@\relax \xyerror@{<pos> \string"\nextii@\string" not defined}{}%
+ \else \expandafter\next@\fi}
+\message{objects,}
+\xydef@\OBJECT@{%
+ \ifx \space@\next \expandafter\DN@\space{\xyFN@\OBJECT@}%
+ \else\ifcat A\noexpand\next \let\next@=\OBJECT@letter
+ \else \let\next@=\OBJECT@other \fi\fi \next@}
+\xydef@\OBJECT@letter{%
+ \ifx i\next \DN@ i{\addtotoks@\Invisible@true \xyFN@\OBJECT@}%
+ \else\ifx h\next\DN@ h{\addtotoks@\Hidden@true \xyFN@\OBJECT@}%
+ \else\ifx o\next\DN@ o{\xywarning@{Obsolete o modifier used}\OBJECT@shape{o}}%
+ \else\ifx x\next\DN@ x{\xywarning@{Obsolete x modifier used}\OBJECT@shape{}}%
+ \else\ifx @\next\DN@ @##1##{%
+\xywarning@{Impossible @ (letter) should not be here!!}
+ \OBJECT@@{\dir##1}}%
+ \else \let\next@=\OBJECT@direction
+ \fi\fi\fi\fi\fi \next@}
+\xydef@\OBJECT@other{%
+ \ifx !\next \DN@!{\OBJECT@shift}%
+ \else\addPLUS@\ifx \next \DN@{\OBJECT@change}%
+ \else\addDASH@\ifx \next \DN@{\OBJECT@change}%
+ \else\addEQ@\ifx \next \DN@{\OBJECT@set}%
+ \else\ifx [\next
+ \DN@[##1]{\xy@{[##1]}{\OBJECT@shape{##1}}}%
+ \else\ifx ^\next \let\next@=\OBJECT@direction
+ \else\ifx _\next \let\next@=\OBJECT@direction
+ \else\ifx :\next \let\next@=\OBJECT@direction
+ \else\ifx ?\next
+ \DN@ ?{\xywarning@{\string? modifier used}\xyFN@\OBJECT@direction}%
+ \else\ifx (\next
+ \let\next@=\OBJECT@direction
+ \else\addAT@\ifx\next \addAT@\DN@##1##{\OBJECT@@{\dir##1}}%
+ \else \DN@##1##{\OBJECT@@{##1}}%
+ \fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi \next@}
+\xydef@\prevEdge@@{\zeroEdge}
+\xydef@\OBJECT@@#1#2{%
+ \expandafter\def\expandafter\prevEdge@@\expandafter{\the\Edge@c}%
+ \expandafter\Edge@c\expandafter{\objectEdge}%
+ \Invisible@false\Hidden@false
+ \def\Leftness@{.5}\def\Upness@{.5}%
+ \gdef\preXY@style@{}\gdef\postXY@style@{}%
+ \def\Drop@@{\styledboxz@}\def\Connect@@{\straight@\relax}%
+ \DN@{#1}\ifx\next@\empty \DNii@{#2}%
+ \ifx\nextii@\empty \DN@{\hbox\bgroup\no@}\else \let\next@=\objectbox \fi\fi
+ \setbox\z@=\next@{#2}\L@c=\Leftness@\wdz@ \R@c=\wdz@ \advance\R@c-\L@c
+ \D@c=\dp\z@ \advance\D@c\ht\z@ \U@c=\Upness@\D@c \advance\D@c-\U@c
+ \R@p=\z@ \L@p=\L@c \U@p=\U@c \advance\U@p-\ht\z@ \D@p=-\U@p
+ \the\toks@\toks@={}\setboxz@h{\kern\R@p \raise\U@p\boxz@}%
+ \checkZeroEdge@
+ \dimen@=\L@c \advance\dimen@\R@c \wdz@=\dimen@ \ht\z@=\U@c \dp\z@=\D@c \boxz@
+ \OBJECT@x}
+\xydef@\adjustLR@{%
+ \ifdim\zz@\wdz@ \L@c=\z@ \R@c=\z@ \dimen@=\Leftness@\p@
+ \ifdim\dimen@<\z@ \L@c=\dimen@ \R@c=-\L@c
+ \else\ifdim\dimen@>\p@ \L@c=\dimen@ \advance\L@c-\p@ \R@c=-\L@c \fi\fi
+ \else \L@c=\Leftness@\wdz@ \R@c=\wdz@ \advance\R@c-\L@c \fi}
+\xydef@\adjustUD@{\dimen@=\ht\z@ \advance\dimen@\dp\z@
+ \ifdim\zz@\dimen@ \U@c=\z@ \D@c=\z@ \dimen@=\Upness@\p@
+ \ifdim\dimen@<\z@ \U@c=\dimen@ \D@c=-\L@c
+ \else\ifdim\dimen@>\p@ \U@c=\dimen@ \advance\U@c-\p@ \D@c=-\L@c \fi\fi
+ \else \D@c=\dimen@ \U@c=\Upness@\dimen@ \advance\D@c-\U@c \fi}
+\def\checkZeroEdge@{%
+ \DN@{}%
+ \ifdim\zz@\L@c \ifdim\zz@\R@c \ifdim\zz@\U@c \ifdim\zz@\D@c
+ \DN@{\Edge@c={\zeroEdge}}\fi\fi\fi\fi
+ \next@}
+\xydef@\OBJECT@x{\toks@={\egroup\def\Drop@@}%
+ \expandafter\addtotoks@\expandafter{\expandafter{\Drop@@}\def\Connect@@}%
+ \expandafter\addtotoks@\expandafter{\expandafter{\Connect@@}}%
+ \edef\tmp@{\D@c=\the\D@c \U@c=\the\U@c \L@c=\the\L@c \R@c=\the\R@c
+ \Edge@c={\expandafter\noexpand\the\Edge@c}%
+ \ifInvisible@\noexpand\Invisible@true\else\noexpand\Invisible@false\fi
+ \ifHidden@\noexpand\Hidden@true\else\noexpand\Hidden@false\fi
+ \def\noexpand\Leftness@{\Leftness@}\def\noexpand\Upness@{\Upness@}}%
+ \expandafter\addtotoks@\expandafter{\tmp@}\the\toks@}
+\xynew@{if}\ifInvisible@
+\xynew@{if}\ifHidden@
+\xydef@\Leftness@{}
+\xydef@\Upness@{}
+\xydef@\Drop@@{\styledboxz@}
+\xydef@\Connect@@{}
+\xydef@\objectbox#1{\hbox{$\m@th\objectstyle{#1}$}}
+\xylet@\objectstyle=\textstyle
+\xydef@\object{\hbox\bgroup\resetStyle@\object@}
+\xydef@\object@{%
+ \edef\next@{={\DirectionfromtheDirection@}}\expandafter\toks@\next@
+ \plainxy@ \xyFN@\OBJECT@}
+\xydef@\composite#1#{\hbox\bgroup\composite@{#1}}
+\xydef@\composite@#1#2{%
+ \DN@{#1}\ifx\next@\empty\else\xywarning@{no variants of
+ \string\composite\space allowed}\fi
+ \global\setbox9=\hbox\bgroup
+ \D@p=-\maxdimen \U@p=-\maxdimen \L@p=-\maxdimen \R@p=-\maxdimen
+ \xyFN@\composite@i#2@}
+\xydef@\composite@i{%
+ \ifx \space@\next \expandafter\DN@\space{\xyFN@\composite@i}%
+ \else\ifx *\next \DN@ *{\xyFN@\composite@i}%
+ \else\ifx @\next \DN@ @{\composite@x}%
+ \xyerror@{<composite> object expected}{}\czeroEdge@
+ \else \DN@{\composite@ii}\fi\fi\fi \next@}
+\xydef@\composite@ii#1#{\composite@iii{#1}}
+\xydef@\composite@iii#1#2{%
+ \setbox\z@=\object#1{#2}%
+ \ifInvisible@ \setboxz@h{}\else
+ \setboxz@h{\kern-\L@c \boxz@}\ht\z@=\z@ \dp\z@=\z@ \wd\z@=\z@ {\Drop@@}\fi
+ \ifHidden@\else
+ \ifdim\U@p<\U@c \U@p=\U@c \fi \ifdim\D@p<\D@c \D@p=\D@c \fi
+ \ifdim\R@p<\R@c \R@p=\R@c \fi \ifdim\L@p<\L@c \L@p=\L@c \fi
+ \fi
+ \xyFN@\composite@iv}
+\xydef@\composite@iv{%
+ \ifx \space@\next \expandafter\DN@\space{\xyFN@\composite@iv}%
+ \else \ifx @\next \DN@ @{\composite@x}%
+ \else \let\next@=\composite@i \fi\fi \next@}
+\xydef@\composite@x{%
+ \edef\tmp@{\egroup
+ \D@c=\the\D@p \U@c=\the\U@p \L@c=\the\L@p \R@c=\the\R@p}\tmp@
+ \setboxz@h{\kern\L@c\box9}\ht\z@=\U@c \dp\z@=\D@c
+ \dimen@=\L@c \advance\dimen@\R@c \wdz@=\dimen@
+ \Edge@c={\rectangleEdge}\computeLeftUpness@ \boxz@
+ \OBJECT@x}
+\xydef@\computeLeftUpness@{%
+ \dimen@=\L@c \advance\dimen@\R@c
+ \ifdim\zz@\dimen@ \def\Connect@@{\straight@{\dottedSpread@\jot}}%
+ \ifdim\zz@\L@c\else
+ \DN@{\zeroEdge}\expandafter\DNii@\expandafter{\the\Edge@c}%
+ \ifx\next@\nextii@\Edge@c={\rectangleEdge}\fi\fi
+ \else \quotient@\Leftness@\L@c\dimen@ \fi
+ \dimen@=\U@c \advance\dimen@\D@c 
+ \ifdim\zz@\dimen@ \def\Connect@@{\straight@{\dottedSpread@\jot}}%
+ \ifdim\zz@\U@c\else
+ \DN@{\zeroEdge}\expandafter\DNii@\expandafter{\the\Edge@c}%
+ \ifx\next@\nextii@\Edge@c={\rectangleEdge}\fi\fi
+ \else \quotient@\Upness@\U@c\dimen@ \fi}
+\xydef@\xybox#1{\xy#1\endxy \Edge@c={\rectangleEdge}\computeLeftUpness@}
+\xydef@\OBJECT@shift{%
+ \let\xy@=\xytotoks@ \afterVECTORorEMPTY
+ {\OBJECT@shift@}%
+ {\addtotoks@{\X@c=-\L@c \advance\X@c\R@p \advance\X@c\L@p \Y@c=\U@p}%
+ \OBJECT@shift@}}
+\xydef@\OBJECT@shift@{%
+ \addtotoks@{\advance\U@p-\Y@c
+ \advance\L@c\X@c \advance\R@c-\X@c \advance\D@c\Y@c \advance\U@c-\Y@c
+ \computeLeftUpness@}%
+ \let\xy@=\oxy@ \xyFN@\OBJECT@}
+\xylet@\objectmargin@=\jot
+\xylet@\objectwidth@=\z@
+\xylet@\objectheight@=\z@
+\xydef@\objectmargin{\afterADDOP{\Addop@@\objectmargin@}}
+\xydef@\objectwidth{\afterADDOP{\Addop@@\objectwidth@}}
+\xydef@\objectheight{\afterADDOP{\Addop@@\objectheight@}}
+\xydef@\OBJECT@change{%
+ \afterADDOP{%
+ \addEQ@\ifx \next
+ \addtotoks@{\X@c=\D@c \advance\X@c\U@c \Y@c=\L@c \advance\Y@c\R@c}%
+ \else
+ \addtotoks@{\X@c=\objectmargin@ \advance\X@c\X@c \Y@c=\X@c}%
+ \fi
+ \let\xy@=\xytotoks@ 
+ \afterVECTORorEMPTY\OBJECT@change@\OBJECT@change@}}
+\xydef@\OBJECT@set{%
+ \afterADDOP{%
+ \let\xy@=\xytotoks@ \afterVECTORorEMPTY\OBJECT@change@
+ {\addtotoks@{\X@c=\objectwidth@ \Y@c=\objectheight@}\OBJECT@change@}}}
+\xydef@\OBJECT@change@{%
+ \addtotoks@{\advance\R@c\L@c \advance\R@p-\L@c \let\tmp@=\R@c}%
+ \expandafter\addtotoks@\expandafter{\Addop@@\tmp@\X@c\R@c=\tmp@
+ \L@c=\Leftness@\R@c \advance\R@p\L@c \advance\R@c-\L@c}%
+ \addtotoks@{\advance\D@c\U@c \let\tmp@=\D@c}%
+ \expandafter\addtotoks@\expandafter{\Addop@@\tmp@\Y@c\D@c=\tmp@
+ \U@c=\Upness@\D@c \advance\D@c-\U@c}%
+ \let\xy@=\oxy@ \xyFN@\OBJECT@}
+\xydef@\afterADDOP#1{\def\afterADDOP@{#1}\xyFN@\ADDOP@}
+\xylet@\afterADDOP@=\empty
+\xydef@\ADDOP@{%
+ \ifx \space@\next \expandafter\DN@\space{\xyFN@\ADDOP@}%
+ \else\addPLUS@\ifx \next \addPLUS@\DN@{\xyFN@\ADDOP@plus}%
+ \else\addDASH@\ifx \next \addDASH@\DN@{\xyFN@\ADDOP@minus}%
+ \else\addEQ@\ifx \next
+ \addEQ@\DN@{\def\Addop@@{\Addop@0+=}\afterADDOP@}%
+ \else
+ \DN@{\def\Addop@@{\Addop@0+=}\afterADDOP@}%
+ \fi\fi\fi\fi \next@}
+\xydef@\ADDOP@plus{%
+ \addEQ@\ifx \next
+ \addEQ@\DN@{\def\Addop@@{\Addop@0+<}\afterADDOP@}%
+ \else
+ \DN@{\def\Addop@@{\Addop@1+=}\afterADDOP@}%
+ \fi \next@}
+\xydef@\ADDOP@minus{%
+ \addEQ@\ifx \next
+ \addEQ@\DN@{\def\Addop@@{\Addop@0+>}\afterADDOP@}%
+ \else
+ \DN@{\def\Addop@@{\Addop@1-=}\afterADDOP@}%
+ \fi \next@}
+\xydef@\Addop@#1#2#3#4#5{%
+ \dimen@=#4\relax \edef#4{\the\dimen@}%
+ \dimen@=#1\dimen@ \advance\dimen@#2#5\relax
+ \ifdim\dimen@#3#4\else \edef#4{\the\dimen@}\fi
+ \ifx\xy@\xyinitial@\else \DN@##1{\xy@@{\edef#4{##1}\checkZeroEdge@}}%
+ \expandafter\next@\expandafter{#4}\fi}
+\xydef@\objectEdge{\rectangleEdge}
+\xydefcsname@{shape [r]}{\advance\U@p\D@c \centerobject@
+ \ifdim\L@c>\D@c
+ \advance\R@c\L@c \L@c=.5\U@c \advance\L@c.5\D@c \advance\R@c-\L@c \fi
+ \advance\U@p-\D@c}
+\xydefcsname@{shape [l]}{\advance\U@p\D@c \centerobject@
+ \ifdim\L@c>\D@c
+ \advance\L@c\R@c \R@c=.5\U@c \advance\R@c.5\D@c \advance\L@c-\R@c \fi
+ \advance\U@p-\D@c}
+\xydefcsname@{shape [u]}{\advance\U@p\D@c \centerobject@
+ \ifdim\D@c>\L@c
+ \advance\U@c\D@c \D@c=.5\L@c \advance\D@c.5\R@c \advance\U@c-\D@c \fi
+ \advance\U@p-\D@c}
+\xydefcsname@{shape [d]}{\advance\U@p\D@c \centerobject@
+ \ifdim\D@c>\L@c
+ \advance\D@c\U@c \U@c=.5\L@c \advance\U@c.5\R@c \advance\D@c-\U@c \fi
+ \advance\U@p-\D@c}
+\xydefcsname@{shape [c]}{\advance\U@p\D@c \centerobject@ \advance\U@p-\D@c}
+\xydef@\centerobject@{%
+ \advance\D@c\U@c \D@c=.5\D@c \U@c=\D@c \advance\L@c\R@c \L@c=.5\L@c \R@c=\L@c}
+\xydef@\OBJECT@shape#1{\DN@{shape [#1]}%
+ \expandafter\let\expandafter\nextii@\csname\codeof\next@\endcsname
+ \ifx\nextii@\relax\DN@{style [#1]}%
+ \expandafter\let\expandafter\nextii@\csname\codeof\next@\endcsname
+ \ifx\nextii@\relax \DN@{\OBJECT@shapei[#1]}%
+ \else\DN@{\nextii@\xyFN@\OBJECT@}\fi
+ \else \expandafter\addtotoks@\expandafter{\nextii@}%
+ \DN@{\xyFN@\OBJECT@}%
+ \fi \next@}
+\xydefcsname@{shape []}{\the\Edge@c5\relax}%
+\xydefcsname@{shape [Outer]}{\the\Edge@c5\relax}%
+\xydefcsname@{shape [Inner]}{\the\Edge@c4\relax}%
+\xydefcsname@{shape [o]}{\Edge@c={\circleEdge}\the\Edge@c5\relax 
+ \Edge@c={\circleEdge}\def\prevEdge@@{\circleEdge}}
+\xydefcsname@{shape [.]}{\czeroEdge@}
+\def\OBJECT@shapei[#1#2]{\DN@{shape [#1...]}%
+ \expandafter\let\expandafter\next\csname\codeof\next@\endcsname
+ \ifx\next\relax\DN@{*stylechar@#1@}%
+ \expandafter\let\expandafter\next\csname\codeof\next@\endcsname
+ \ifx\next\relax\DNii@{shape [#1#2]}%
+ \xywarning@{illegal [<shape>] ignored: \codeof\nextii@\space not defined}%
+ \DN@{\xyFN@\OBJECT@}%
+ \else% Delete this: \expandafter\addtotoks@\expandafter{\next{#2}}%
+ \DN@{\next{#2}\xyFN@\OBJECT@}%
+ \fi
+ \else
+\expandafter\addtotoks@\expandafter{\next{#2}}\DN@{\next{#2}\xyFN@\OBJECT@}%
+ \fi \next@}
+\xydef@\preXY@style@{}
+\xydef@\postXY@style@{}
+\xydef@\resetStyle@{\gdef\preXY@style@{}\gdef\postXY@style@{}}
+\xynew@{toks}{\styletoks@}
+\xydef@\addtostyletoks@#1{%
+ \expandafter\styletoks@\expandafter{\the\styletoks@#1}}
+\xydef@\styledboxz@{%
+ \xypre@Style@@
+ \boxz@
+ \xypost@Style@@}
+\xydef@\xypre@Style@{\styletoks@={}\saveXyStyle@\preXY@style@
+ \expandafter\DN@\expandafter{\the\styletoks@}%
+ \ifx\next@\empty \DN@{\let\xypre@Style@@=\relax 
+ \let\xypost@Style@@=\relax \xypre@skipStyle@}%
+ \else
+ \let\xypre@Style@@=\relax \let\xypost@Style@@=\xypost@Style@
+ \DN@{\expandafter\xydoprestyles@\expandafter{\the\styletoks@}}%
+ \fi \next@ }
+\xydef@\xypost@Style@{\styletoks@={}\postXY@style@
+ \expandafter\xydopoststyles@\expandafter{\the\styletoks@}%
+ \let\xypost@Style@@=\relax \let\xypre@Style@@=\xypre@Style@ }
+\xydef@\xypre@skipStyle@#1\xypost@Style@@{#1\relax 
+ \let\xypre@Style@@=\xypre@Style@ }
+\xydef@\xydoprestyles@@{\literal@}
+\xydef@\xydopoststyles@@{\literal@}
+\xylet@\xydoprestyles@=\xydoprestyles@@
+\xylet@\xydopoststyles@=\xydopoststyles@@
+\xydef@\modXYstyle@{%
+ \ifx\xy@style@\empty\resetStyle@\fi \checkXyStyle@
+ \expandafter\expandafter\expandafter\DN@
+ \expandafter\expandafter\expandafter{\preXYstyle@@}%
+ \ifx\next@\empty\else\DN@{\modXYstyle@@}\fi \next@ }
+\xydef@\modXYstyle@@{%
+ \DN@##1{\expandafter\def\expandafter\tmp@\expandafter{##1}}%
+ \expandafter\next@\expandafter{\preStyle@@}%
+ \DN@##1{\expandafter\gdef\expandafter\preXY@style@\expandafter{%
+ \preXY@style@ ##1}}\expandafter\next@\expandafter{\tmp@}%
+ \DN@##1{\expandafter\def\expandafter\tmp@\expandafter{##1}}%
+ \expandafter\next@\expandafter{\postStyle@@}%
+ \DN@##1{\expandafter\gdef\expandafter\postXY@style@\expandafter{%
+ \tmp@ ##1}}\expandafter\next@\expandafter{\postXY@style@}}
+\xydef@\xy@style@{}
+\xydef@\checkXyStyle@{\ifx\xy@style@\empty\resetStyle@\fi
+ \let\xy@style@=\relax}
+\xydef@\preStyle@@{}
+\xydef@\postStyle@@{}
+\xydef@\preXYstyle@@{\relax}
+\xydef@\loadxystyle@{%
+ \let\xypre@Style@@=\xypre@Style@ \def\preXYstyle@@{\preStyle@@}}
+\loadxystyle@
+\xydef@\Unloadstyle@{%
+ \let\xypre@Style@@=\relax \let\xypost@Style@@=\relax
+ \def\preXYstyle@@{\relax}}
+\xydefcsname@{shape [=...]}#1{\checkXyStyle@ \addtotoks@{\xynamestyle@{#1}}}
+\xydef@\xynamestyle@#1{\checkXyStyle@
+ \expandafter\DNii@\expandafter{\csname shape [#1]\endcsname}%
+ \expandafter\ifx\nextii@\relax
+ \else\xywarning@{Redefining style [#1]}\fi
+ \expandafter\xynamestyle@@\csname shape [#1]\endcsname }
+\xydef@\xynamestyle@@#1{%
+ \expandafter\def\expandafter\tmp@\expandafter{\preXY@style@}%
+ \DN@##1{\def\tmp@{\checkXyStyle@\gdef\preXY@style@{##1}}}%
+ \expandafter\next@\expandafter{\preXY@style@}%
+ \DN@##1{\expandafter\gdef\expandafter#1\expandafter{\tmp@
+ \gdef\postXY@style@{##1}}}%
+ \expandafter\next@\expandafter{\postXY@style@}\DN@{}}
+\xydef@\prevXypreStyle@@{}
+\xydef@\prevXypostStyle@@{}
+\xydef@\saveXyStyle@{\expandafter
+ \def\expandafter\prevXypreStyle@@\expandafter{\preXY@style@}%
+ \expandafter\def\expandafter\prevXypostStyle@@\expandafter{%
+ \postXY@style@}}
+\xydef@\recoverXyStyle@{\expandafter
+ \gdef\expandafter\preXY@style@\expandafter{\prevXypreStyle@@}%
+ \expandafter\gdef\expandafter\postXY@style@\expandafter{%
+ \prevXypostStyle@@}}
+\xydef@\newxystyle#1#2#3{%
+ \DN@{#3}\ifx\next@\empty 
+ \xydefcsname@{shape [#1]}{\csname xyshape@#1@\endcsname}%
+ \else \expandafter\def\csname shape [#1]\endcsname{%
+ \csname xyshape@#1@\endcsname}\fi
+ \DN@{#2}\ifx\next@\empty
+ \expandafter\def\csname xyshape@#1@\endcsname{%
+ \xyundefinedStyle@{#1}{}@@}%
+ \else \expandafter\def\csname xyshape@#1@\endcsname{#2}\fi}
+\xydef@\xyundefinedStyle@#1#2@@{%
+ \xywarning@{style #1 not defined, nothing to apply}}
+\xydef@\applyFIFOstyle@#1#2#3#4{\bgroup
+ \styletoks@={\egroup\gdef\preXY@style@}%
+ \expandafter\toks@\expandafter{\preXY@style@}%
+ \expandafter\addtotoks@\expandafter{\expandafter#1\expandafter{#2}}%
+ \expandafter\addtostyletoks@\expandafter{\expandafter{\the\toks@}%
+ \gdef\postXY@style@}%
+ \expandafter\toks@\expandafter{\expandafter#3\expandafter{#4}}%
+ \expandafter\addtotoks@\expandafter{\postXY@style@}%
+ \expandafter\addtostyletoks@\expandafter{\expandafter{\the\toks@}}%
+ \the\styletoks@ }
+\xydef@\applyLIFOstyle@#1#2#3#4{\bgroup
+ \styletoks@={\egroup\gdef\preXY@style@}%
+ \expandafter\toks@\expandafter{\expandafter#1\expandafter{#2}}%
+ \expandafter\addtotoks@\expandafter{\preXY@style@}%
+ \expandafter\addtostyletoks@\expandafter{\expandafter{\the\toks@}%
+ \gdef\postXY@style@}%
+ \expandafter\toks@\expandafter{\postXY@style@}%
+ \expandafter\addtotoks@\expandafter{\expandafter#3\expandafter{#4}}%
+ \expandafter\addtostyletoks@\expandafter{\expandafter{\the\toks@}}%
+ \the\styletoks@ }
+\xydef@\OBJECT@direction{\afterDIRECTIONorEMPTY{%
+ \edef\next@{{\DirectionfromtheDirection@}}\expandafter\addtotoks@\next@
+ \xyFN@\OBJECT@}%
+ {\xyFN@\OBJECT@}}
+\xydef@\afterDIRECTIONorEMPTY#1#2{%
+ \DN@##1{\def\afterDIRECTION@{\def\afterDIRECTION@{##1}%
+ \ifDIRECTIONempty@\DN@{#2}\else\DN@{#1}\fi \next@}}%
+ \expandafter\next@\expandafter{\afterDIRECTION@}%
+ \xyFN@\DIRECTION@}
+\xylet@\afterDIRECTION@=\empty
+\xynew@{if}\ifDIRECTIONempty@
+\xydef@\DIRECTION@{%
+ \ifx \space@\next \expandafter\DN@\space{\xyFN@\DIRECTION@}%
+ \else\ifx v\next \DN@ v{\DIRECTION@v}%
+ \else\ifx \bgroup\next \let\next@=\DIRECTION@group
+ \else\ifx (\next \DN@({\xyFN@\DIRECTION@open}%
+ \else
+ \DN@{\count@=8
+ \afterDIAG{\ifnum\count@=8 \DN@{\DIRECTIONempty@true \xyFN@\DIRECTION@i}%
+ \else \DN@{\xy@@{\dimen@=\xydashl@}\Directionfromdiag@}\fi \next@}}%
+ \fi\fi\fi\fi \next@}
+\xydef@\DIRECTION@open{%
+ \ifx *\next \DN@*##1*){\DIRECTION@group{##1}}%
+ \else \DN@{\xyerror@{(* <pos> *) expected}{} \xyFN@\DIRECTION@i}%
+ \fi \next@}
+\def\afterDIAG#1{\def\afterDIAG@{#1}\xyFN@\DIAG@}
+\xydef@\DIAG@{%
+ \ifx d\next \DN@ d{\count@=1 \xyFN@\DIAG@@}%
+ \else\ifx r\next \DN@ r{\count@=3 \xyFN@\DIAG@@}%
+ \else\ifx u\next \DN@ u{\count@=5 \xyFN@\DIAG@@}%
+ \else\ifx l\next \DN@ l{\count@=7 \xyFN@\DIAG@@}%
+ \else \let\next@=\afterDIAG@
+ \fi\fi\fi\fi \next@}
+\xydef@\DIAG@@{\ifcase\count@ \or
+ \DIAG@@@ l0r2\or\or \DIAG@@@ d2u4\or\or \DIAG@@@ r4l6\or\or \DIAG@@@ u6d0%
+ \else\xybug@{impossible <diag> number}\fi
+ \next@}
+\xydef@\DIAG@@@#1#2#3#4{%
+ \ifx #1\next \count@=#2\DN@#1{\afterDIAG@}%
+ \else \ifx #3\next \count@=#4\DN@#3{\afterDIAG@}%
+ \else \let\next@=\afterDIAG@ \fi\fi}
+\xydef@\Directionfromdiag@{\ifcase\count@
+ \xy@@{\dlDirection@\dimen@}%
+ \or \xy@@{\dDirection@\dimen@}%
+ \or \xy@@{\drDirection@\dimen@}%
+ \or \xy@@{\rDirection@\dimen@}%
+ \or \xy@@{\urDirection@\dimen@}%
+ \or \xy@@{\uDirection@\dimen@}%
+ \or \xy@@{\ulDirection@\dimen@}%
+ \or \xy@@{\lDirection@\dimen@}%
+ \or
+ \else\xybug@{impossible <diag>}\fi
+ \DIRECTIONempty@false \xyFN@\DIRECTION@i}
+\xydef@\DIRECTION@v{%
+ \xy@{v}{\enter@{\cfromthec@ \X@origin=\the\X@origin \Y@origin=\the\Y@origin
+ \X@p=\the\X@p \Y@p=\the\Y@p}%
+ \X@origin=\z@ \Y@origin=\z@}%
+ \afterVECTORorEMPTY
+ {\xy@@{\X@p=\z@ \Y@p=\z@ \setupDirection@ \leave@}%
+ \DIRECTIONempty@false \xyFN@\DIRECTION@i}%
+ {\xy@@\leave@ \xyerror@{<vector> expected after v}{}%
+ \DIRECTIONempty@false \xyFN@\DIRECTION@i}}
+\xydef@\DIRECTION@group#1{%
+ \xy@@{\begingroup}\xy@@ix@{#1}\xy@@{\plainxy@\expandafter\POS\the\toks9\relax
+ \setupDirection@\edef\next@{\endgroup \DirectionfromtheDirection@}\next@}%
+ \DIRECTIONempty@false \xyFN@\DIRECTION@i}
+\xydef@\DIRECTION@i{%
+ \ifx ^\next \DN@ ^{\xy@^{\aboveDirection@\xydashl@}%
+ \DIRECTIONempty@false \xyFN@\DIRECTION@i}%
+ \else\ifx _\next \DN@ _{\xy@_{\belowDirection@\xydashl@}%
+ \DIRECTIONempty@false \xyFN@\DIRECTION@i}%
+ \else\ifx :\next \DN@ :{%
+ \xy@{:}{\enter@{\cfromthec@ \basefromthebase@ \X@p=\the\X@p \Y@p=\the\Y@p}%
+ \X@origin=\z@ \Y@origin=\z@
+ \X@xbase=\cosDirection\xydashl@ \Y@xbase=\sinDirection\xydashl@
+ \X@ybase=-\Y@xbase \Y@ybase=\X@xbase}%
+ \afterVECTORorEMPTY
+ {\xy@@{\X@p=\z@ \Y@p=\z@ \setupDirection@ \leave@}%
+ \DIRECTIONempty@false \xyFN@\DIRECTION@i}%
+ {\xy@@\leave@ \xyerror@{<vector> expected after :}{}%
+ \DIRECTIONempty@false \xyFN@\DIRECTION@i}}%
+ \else
+ \let\next@=\afterDIRECTION@
+ \fi\fi\fi \next@}
+\message{decorations;}
+\xydef@\drop#1#{\DN@##1{\xy@@ix@{{#1}{##1}}%
+ \xy@{\drop#1{##1}}{\expandafter\drop@\the\toks9 }\ignorespaces}\next@}
+\xydef@\connect#1#{\DN@##1{\xy@@ix@{{#1}{##1}}%
+ \xy@{\connect#1{##1}}{\expandafter\connect@\the\toks9 }\ignorespaces}\next@}
+\xydef@\preconnect#1#{\DN@##1{\xy@@ix@{{#1}{##1}}%
+ \xy@{\connect#1{##1}}{\expandafter\preconnect@\the\toks9 }\ignorespaces}\next@}
+\xydef@\save{\relax\saveC}
+\xydef@\saveC{\xy@\save\save@ \POS}
+\xydef@\save@{\enter@{\cfromthec@ \pfromthep@ \basefromthebase@}}
+\xydef@\restore{\xy@\restore\leave@ \ignorespaces}
+\xydef@\xyecho{%
+ \xy@\xyecho{\let\xy@=\xyecho@ \message{\string\xyecho}}\POS}
+\xydef@\xyecho@#1#2{{\def\1{#1}\ifx\1\empty\else\message{\codeof\1}\fi}%
+ \oxy@{#1}{#2}}
+\xydef@\xyverbose{%
+ \xy@\xyverbose{\let\xy@=\xyverbose@
+ \W@{Xy: \string\xyverbose\xytracelineno@}}\POS}
+\xydef@\xyverbose@#1#2{%
+ {\def\1{#1}\ifx\1\empty\else\W@{Xy: \codeof\1\xytracelineno@}\fi}%
+ \oxy@{#1}{#2}}
+\xydef@\xytracing{%
+ \xy@\xytracing{\let\xy@=\xytracing@
+ \W@{Xy TRACE: \string\xytracing\xytracelineno@}\xystatus@:}\POS}
+\xydef@\xytracing@#1#2{{\def\1{#1}\def\2{#2}%
+ \W@{Xy TRACE: \codeof\1 {\codeof\2}\xytracelineno@}}\oxy@{#1}{#2}\xystatus@:}
+\xydef@\xystatus@#1{\xystatus@cp{#1}%
+ \W@{#1 d=<\the\d@X,\the\d@Y>
+ Direction=\the\Direction=\string(\cosDirection,\sinDirection\string)}%
+ \W@{#1 base=<\the\X@origin,\the\Y@origin>+%
+ <\the\X@xbase,\the\Y@xbase>x+<\the\X@ybase,\the\Y@ybase>y}%
+ \W@{#1 min/max=<\the\X@min,\the\Y@min>/<\the\X@max,\the\Y@max>
+ S=\the\csp@}}
+\xydef@\xystatus@cp#1{%
+ \W@{#1 c=<\the\X@c,\the\Y@c> \expandafter\string\the\Edge@c
+ \string[\the\L@c+\the\R@c,\the\D@c+\the\U@c\string]
+ \ifInvisible@ I\fi\ifHidden@ H\fi}%
+ \W@{#1 p=<\the\X@p,\the\Y@p> \expandafter\string\the\Edge@p
+ \string[\the\L@p+\the\R@p,\the\D@p+\the\U@p\string]}}
+\xydef@\xystatus@c#1{%
+ \W@{#1<\the\X@c,\the\Y@c> \expandafter\string\the\Edge@c
+ \string[\the\L@c+\the\R@c,\the\D@c+\the\U@c\string]}}
+\xydef@\xyquiet{\xy@\xyquiet{\let\xy@=\oxy@}}
+\xydef@\xyignore#1{\xy@\xyignore{\xyignore@{#1}}\ignorespaces}
+\xydef@\xyignore@#1{{\let\xy@=\xyeat@ \change@oxy@\xy@ \POS#1\relax}}
+\xydef@\xyeat@#1#2{}
+\xydef@\xycompile@@{\jobname-}
+\xydef@\xycompileno@@{0}
+\xydef@\CompilePrefix#1{%
+ \def\xycompile@@{#1}\xdef\xycompile@@{\codeof\xycompile@@}%
+ \xdef\xycompileno@@{0}}
+\xydef@\xycompile{%
+ \count@=\xycompileno@@ \advance\count@\@ne
+ \xdef\xycompileno@@{\ifnum10>\count@ 0\fi \the\count@}%
+ \edef\next{\noexpand\xycompileto{\xycompile@@\xycompileno@@}}\next}
+\xylet@\compilename@@=\empty
+\xylet@\xyrecompile@@=\relax
+\xydef@\xycompileto#1#2{%
+ \if\inxy@ \DN@{\xy@@{\nter@{}}}%
+ \else \DN@{\xy \xy@@{\nter@{\endxy}}}\fi \next@
+ \ifxysaving@ \xyerror@{Compilations can not be nested}{}\fi
+ \DN@{#1}\edef\compilename@@{\codeof\next@}\DNii@{#2}%
+ \def\xyrecompile@@{recompiling TRUNCATED}%
+ \expandafter\xyinputorelse@@\expandafter{\compilename@@.xyc}%
+ {\def\xyrecompile@@{compiling to}}%
+ \ifx\xyrecompile@@\relax \else \expandafter\xyrecompile@ \fi
+ \xy@@\leave@ \ignorespaces}
+\xydef@\xyrecompile@{%
+ \message{(\xyrecompile@@\space\string`\compilename@@.xyc\string'}%
+ \DN@{\immediate\openout\xywrite@=}\expandafter\next@\compilename@@.xyc
+ \immediate\write\xywrite@{%
+ \string\xycompiled{\compilename@@}%
+ {\the\year/\the\month/\the\day\string:\the\time\xytracelineno@}%
+ {Xy-pic \xyversion}\xycomment@}%
+ \immediate\write\xywrite@{{\codeof\nextii@}\relax}%
+ {\xysaving@ \expandafter\POS\nextii@ \relax}%
+ \immediate\write\xywrite@{\string\xyendcompiled}%
+ \immediate\closeout\xywrite@ \message{done)}%
+ \expandafter\input\compilename@@.xyc
+ \outlines@@\writeoutline@\writeoutline@}
+\xydef@\xysaving@{\let\xy@=\xysave@ \change@oxy@\xy@
+ \let\xy@@ix@=\xysave@@toksix@ \xysaving@true}
+\xynew@{if}\ifxysaving@ \xysaving@false
+\xydef@\xysave@#1#2{{\DN@{{#1}{#2}}%
+ \immediate\write\xywrite@{\string\xy@\codeof\next@\xycomment@}}}
+\xydef@\xysave@@toksix@#1{{\DN@{{#1}}%
+ \immediate\write\xywrite@{\string\xy@@ix@\codeof\next@\relax}}}
+\xywarnifdefined\xycomment@
+{\catcode`\%=12 \catcode`\(=1 \catcode`\)=2 \gdef\xycomment@(%)}
+\xydef@\xycompiled#1#2#3#4{\DN@{#1}\edef\next@{\codeof\next@}%
+ \ifx\next@\compilename@@\else
+ \xywarning@{This file does not contain the result of
+ \string\xycompileto{\compilename@@}{...}^^J%
+ but of \string\xycompileto{\next@}}\fi
+ \edef\next{Xy-pic \xyversion}\DN@{#3}\ifx\next\next@
+ \DN@{#4}\ifx\next@\nextii@ \xycatcodes \outlines@@\relax\readoutline@
+ \else \def\xyrecompile@@{recompiling to}\endinput \fi
+ \else \def\xyrecompile@@{Xy-pic version change - recompiling}\endinput \fi}
+\xydef@\xyendcompiled{\let\xyrecompile@@=\relax \xyuncatcodes\endinput}
+\xydef@\CompileFixPoint#1{%
+ \expandafter\ifx\csname#1FIX@@\endcsname\relax
+ \expandafter\xdef\csname#1FIX@@\endcsname{\xycompileno@@}%
+ \else
+ \xdef\xycompileno@@{\csname#1FIX@@\endcsname}\fi}
+\xydef@\outlines@no#1#2{}
+\xydef@\outlines@make#1#2{#1}
+\xydef@\outlines@only#1#2{#2}
+\xylet@\outlines@@=\outlines@no
+\xylet@\writeoutline@@=\relax
+\xylet@\readoutline@@=\relax
+\xydef@\MakeOutlines{\let\outlines@@=\outlines@make}
+\xydef@\OnlyOutlines{\xywarning@{Compiled pictures only shown as outlines}%
+ \let\outlines@@=\outlines@only}
+\xydef@\ShowOutlines{\let\readoutline@@=\typesetoutline@}
+\xydef@\NoOutlines{\let\outlines@@=\outlines@no}
+\xydef@\writeoutline@{%
+ \DN@{\immediate\openout\xywrite@=}\expandafter\next@\compilename@@.xyd
+ \immediate\write\xywrite@{\xycomment@\space\compilename@@.xyd}
+ \immediate\write\xywrite@{%
+ \string\X@min=\the\X@min \string\X@max=\the\X@max
+ \string\Y@min=\the\Y@min \string\Y@max=\the\Y@max \string\relax}%
+ \writeoutline@@
+ \immediate\closeout\xywrite@}
+\xynew@{if}\ifoutlineread@
+\xydef@\readoutline@{\outlineread@true
+ \expandafter\xyinputorelse@@\expandafter{\compilename@@.xyd}%
+ {\def\xyrecompile@@{outline missing - recompiling to}\outlineread@false}%
+ \ifoutlineread@ \readoutline@@
+ \writeoutline@\expandafter\xyendcompiled\fi}
+\xydef@\typesetoutline@{%
+ \xy@@{\czeroEdge@ \U@p=\z@ \D@p=\z@ \L@p=\z@ \R@p=\z@ \Edge@p={\zeroEdge}%
+ \X@p=\X@min \Y@p=\Y@min \X@c=\X@min \Y@c=\Y@max \connect@\dir{.}%
+ \X@p=\X@c \Y@p=\Y@c \X@c=\X@max \Y@c=\Y@max \connect@\dir{.}%
+ \X@p=\X@c \Y@p=\Y@c \X@c=\X@max \Y@c=\Y@min \connect@\dir{.}%
+ \X@p=\X@c \Y@p=\Y@c \X@c=\X@min \Y@c=\Y@min \connect@\dir{.}}}
+\message{kernel objects:}
+\message{directionals,}
+\xydef@\dir{\hbox\bgroup\xyFN@\dir@i}
+\xydef@\dir@i{\ifx *\next \DN@*{\resetStyle@\object@}%
+ \else \let\next@=\dir@ii \fi \next@}
+\xydef@\dir@ii#1#{\dir@{#1}}
+\xydef@\dir@#1#2{\DN@{dir#1{#2}}%
+ \expandafter\let\expandafter\next\csname\codeof\next@\endcsname
+ \ifx\next\relax \DN@{dir{#2}}%
+ \expandafter\let\expandafter\next\csname\codeof\next@\endcsname
+ \ifx\next\relax \DN@{\dir#1{#2}}%
+ \xyerror@{illegal <dir>: \codeof\next@\space not defined}{}%
+ \let\next=\no@ \fi\fi \next}
+\xydefcsname@{dir{}}{\no@}
+\xyletcsnamecsname@{dir0{}}{dir{}}
+\xyletcsnamecsname@{dir1{}}{dir{}}
+\xyletcsnamecsname@{dir^{}}{dir{}}
+\xyletcsnamecsname@{dir_{}}{dir{}}
+\xyletcsnamecsname@{dir2{}}{dir{}}
+\xyletcsnamecsname@{dir3{}}{dir{}}
+\xyletcsnamecsname@{dir{ }}{dir{}}
+\xydef@\no@{\egroup \czeroEdge@
+ \def\Leftness@{.5}\def\Upness@{.5}%
+ \def\Drop@@{\setbox\z@=\copy\voidb@x}\def\Connect@@{\no@@}}
+\xydefcsname@{dir1{-}}{\line@}
+\xydefcsname@{dir2{-}}{\line@ \double@\xydashh@}
+\xydefcsname@{dir3{-}}{\line@ \triple@\xydashh@}
+\xyletcsnamecsname@{dir0{-}}{dir{}}
+\xyletcsnamecsname@{dir{-}}{dir1{-}}
+\xyletcsnamecsname@{dir{=}}{dir2{-}}
+\xydef@\line@{\dimen@=\sd@Y\sinDirection\xydashl@
+ \ifnum\SemiDirectionChar<31 \D@c=\z@ \U@c=\dimen@ \DN@{\d@Y<\z@}%
+ \else\ifnum\SemiDirectionChar<64 \D@c=\dimen@ \U@c=\z@ \DN@{\z@<\d@Y}%
+ \else\ifnum\SemiDirectionChar<96 \D@c=\dimen@ \U@c=\z@ \DN@{\d@X<\z@}%
+ \else \D@c=\z@ \U@c=\dimen@ \DN@{\d@X<\z@}\fi\fi\fi
+ \setboxz@h{\line@@}\ht\z@=\U@c \dp\z@=\D@c
+ \L@c=\z@ \R@c=\wdz@
+ \ifdim\next@ \dimen@=\R@c \R@c=\L@c \L@c=\dimen@
+ \dimen@=\U@c \U@c=\D@c \D@c=\dimen@ \advance\dimen@-\U@c
+ \lower\dimen@\boxz@
+ \else \boxz@ \fi
+ \edef\tmp@{\egroup \U@c=\the\U@c \D@c=\the\D@c \L@c=\the\L@c \R@c=\the\R@c}%
+ \tmp@
+ \Edge@c={\rectangleEdge}%
+ \ifdim\z@<\U@c \def\Upness@{1}\else \def\Upness@{0}\fi
+ \ifdim\z@<\L@c \def\Leftness@{1}\else \def\Leftness@{0}\fi
+ \def\Drop@@{\styledboxz@}\def\Connect@@{\solid@}}
+\xydef@\line@@{{\xydashfont\SemiDirectionChar\/}}
+\xydef@\solid@{%
+ \checkXy@rules@\solidhrule@\solidvrule@{\straight@\solidSpread@}}
+\xydef@\checkXy@rules@#1#2#3{%
+ \dimen@=\Y@c \advance\dimen@-\Y@p
+ \ifjusthvtest@.05pt>\ifdim\dimen@<\z@-\fi\dimen@ \DN@{#1}%
+ \else \dimen@=\X@c \advance\dimen@-\X@p
+ \ifjusthvtest@.05pt>\ifdim\dimen@<\z@-\fi\dimen@ \DN@{#2}%
+ \else \DN@{#3}\fi\fi \next@}
+\xydef@\solidSpread@{\ifnum\z@<\count@@ \advance\count@@\@ne \fi}
+\xylet@\ifjusthvtest@=\ifdim
+\xydef@\NoRules{\let\ifjusthvtest@=\iffalse}
+\xydef@\UseRules{\let\ifjusthvtest@=\ifdim}
+\xydef@\solidvrule@{\no@@ \solidvrule@typeset \ifHidden@\else\noinsert@\fi
+ \solidvrule@pre}
+\xydef@\solidvrule@pre{%
+ \def\Cbreak@@{%
+ \connectRestore@ \swap@\lastbreak@@\swap@
+ \solidvrule@typeset \edef\lastbreak@@{\cfromthec@}\Creset@@}%
+ \def\Clast@@{%
+ \connectRestore@ \Creset@@\swap@\lastbreak@@\swap@
+ \solidvrule@typeset \Creset@@ \edef\lastbreak@@{\cfromthep@}}%
+}
+\xydef@\solidvrule@typeset{%
+ \ifInvisible@ \let\next@=\relax \else \let\next@=\solidvrule@typeset@ \fi
+ \checkoverlap@@ \next@}
+\xydef@\solidvrule@typeset@{{%
+ \advance\X@c\X@p \X@c=.5\X@c \X@p=\X@c
+ \advance\X@c-.5\xydashw@ \advance\X@p.5\xydashw@
+ \ifdim\Y@c<\Y@p \advance\Y@c\U@c \advance\Y@p-\D@p
+ \else \swapdimen@\Y@c\Y@p \advance\Y@c\U@p \advance\Y@p-\D@c \fi
+ \Droprule@}}
+\xydef@\solidhrule@{\no@@ \solidhrule@typeset \ifHidden@\else\noinsert@\fi
+ \solidhrule@pre}
+\xydef@\solidhrule@pre{%
+ \def\Cbreak@@{%
+ \connectRestore@ \swap@\lastbreak@@\swap@
+ \solidhrule@typeset \edef\lastbreak@@{\cfromthec@}\Creset@@}%
+ \def\Clast@@{%
+ \connectRestore@ \Creset@@\swap@\lastbreak@@\swap@
+ \solidhrule@typeset \Creset@@ \edef\lastbreak@@{\cfromthep@}}%
+}
+\xydef@\solidhrule@typeset{%
+ \ifInvisible@ \let\next@=\relax \else \let\next@=\solidhrule@typeset@ \fi
+ \checkoverlap@@ \next@}
+\xydef@\solidhrule@typeset@{{%
+ \ifdim\X@c<\X@p \advance\X@c\R@c \advance\X@p-\L@p
+ \else \swapdimen@\X@c\X@p \advance\X@c\R@p \advance\X@p-\L@c \fi
+ \advance\Y@c\Y@p \Y@c=.5\Y@c \Y@p=\Y@c
+ \advance\Y@c-.5\xydashw@ \advance\Y@p.5\xydashw@
+ \Droprule@}}
+\xydef@\Droprule@{\advance\X@p-\X@c
+ \setboxz@h{\kern\X@c \vrule width\X@p depth-\Y@c height\Y@p}%
+ \ht\z@=\z@ \wd\z@=\z@ \dp\z@=\z@ \Drop@@}
+\xydef@\zerodot{\copy\zerodotbox@}
+\xydefcsname@{dir1{.}}{\point@}
+\xydefcsname@{dir2{.}}{\point@ \double@\xydashh@}
+\xydefcsname@{dir3{.}}{\point@ \triple@\xydashh@}
+\xyletcsnamecsname@{dir0{.}}{dir{}}
+\xyletcsnamecsname@{dir{.}}{dir1{.}}
+\xyletcsnamecsname@{dir{:}}{dir2{.}}
+\xydef@\point@{\pointlike@\zerodot\p@}
+\xydef@\pointlike@#1#2{%
+ \setboxz@h{#1}\wdz@=\z@ \ht\z@=\z@ \dp\z@=\z@ \boxz@\egroup
+ \def\Leftness@{.5}\def\Upness@{.5}\ctipEdge@
+ \def\Drop@@{\styledboxz@}\def\Connect@@{\straight@{\dottedSpread@{#2}}}}
+\xydef@\dottedSpread@#1{%
+ \dimen@=#1\relax \DN@{\A@=2\A@ \B@=2\B@ \dottedSpread@i}%
+ \A@=\sd@X\cosDirection\dimen@ \B@=\sd@Y\sinDirection\dimen@
+ \dimen@=\A@ \advance\dimen@\B@
+ \dimen@ii=\sd@X\d@X \advance\dimen@ii\sd@Y\d@Y
+ \ifdim\dimen@>\dimen@ii \DN@{\count@@=\z@}\fi
+ \next@}
+\xydef@\dottedSpread@i{%
+ \global\setbox8=\hbox to\A@{\hss
+ \kern.5\A@\box\lastobjectbox@\kern.5\A@\hss}\dp8=.5\B@ \ht8=.5\B@
+ \advance\d@X\sd@X\A@ \advance\d@Y\sd@Y\B@
+ \advance\X@c\sd@X.5\A@ \advance\Y@c\sd@Y.5\B@
+ \ifdim\sd@Y\d@Y<\sd@X\d@X \dimen@=\sd@X\d@X
+ \ifdim\zz@\A@\else \divide\dimen@\A@ \fi \count@@=\dimen@
+ \else \dimen@=\sd@Y\d@Y
+ \ifdim\zz@\B@\else \divide\dimen@\B@ \fi \count@@=\dimen@
+ \fi \advance\count@@\@ne}
+\xydefcsname@{dir1{~}}{\squiggle@}
+\xydefcsname@{dir2{~}}{\squiggle@ \double@\xybsqlh@}
+\xydefcsname@{dir3{~}}{\squiggle@ \triple@\xybsqlh@}
+\xyletcsnamecsname@{dir0{~}}{dir{}}
+\xyletcsnamecsname@{dir{~}}{dir1{~}}
+\xydef@\squiggle@{\xybsqlfont
+ \dimen@=\sd@X\cosDirection\xybsqll@ \advance\dimen@.1\p@
+ \dimen@ii=\sd@Y\sinDirection\xybsqll@
+ \kern\dimen@\squiggle@@
+ \edef\tmp@{\egroup \U@c=\the\dimen@ii \L@c=\the\dimen@}\tmp@
+ \wdz@=2\L@c \R@c=\L@c \ht\z@=\U@c \D@c=\U@c \dp\z@=\U@c
+ \Edge@c={\rectangleEdge}%
+ \def\Leftness@{.5}\def\Upness@{.5}%
+ \def\Drop@@{\styledboxz@}\def\Connect@@{\straight@\squiggledSpread@}}
+\xydef@\squiggle@@{\DirectionChar \count@=\DirectionChar
+ \advance\count@-64 \ifnum\count@<\z@ \advance\count@128 \fi \char\count@}
+\xydef@\squiggledSpread@{%
+ \dimen@=\d@X \advance\dimen@-\sd@X\count@@\A@ \advance\dimen@\sd@X.3\p@
+ \advance\X@c-.5\dimen@ \advance\d@X-\dimen@
+ \dimen@=\d@Y \advance\dimen@-\sd@Y\count@@\B@ \advance\dimen@\sd@Y.3\p@
+ \advance\Y@c-.5\dimen@ \advance\d@Y-\dimen@}
+\xydef@\double@#1{\edef\Drop@@{\dimen@=#1\relax
+ \dimen@=.5\dimen@ \A@=-\sinDirection\dimen@ \B@=\cosDirection\dimen@
+ \setboxz@h{\setbox2=\hbox{\kern\A@\raise\B@\copy\z@}%
+ \dp2=\z@ \ht2=\z@ \wd2=\z@ \box2
+ \setbox2=\hbox{\kern-\A@\raise-\B@ \noexpand\boxz@}%
+ \dp2=\z@ \ht2=\z@ \wd2=\z@ \box2 }%
+ \ht\z@=\z@ \dp\z@=\z@ \wd\z@=\z@ \noexpand\styledboxz@}}
+\xydef@\triple@#1{\edef\Drop@@{\dimen@=#1\relax
+ \A@=-\sinDirection\dimen@ \B@=\cosDirection\dimen@
+ \setboxz@h{\setbox2=\hbox{\kern\A@\raise\B@\copy\z@}%
+ \dp2=\z@ \ht2=\z@ \wd2=\z@ \box2
+ \setbox2=\hbox{\kern-\A@\raise-\B@\copy\z@}%
+ \dp2=\z@ \ht2=\z@ \wd2=\z@ \box2
+ \dp\z@=\z@ \ht\z@=\z@ \wdz@=\z@ \noexpand\boxz@}%
+ \ht\z@=\z@ \dp\z@=\z@ \wd\z@=\z@ \noexpand\styledboxz@}}
+\xydefcsname@{dir1{--}}{\dash@}
+\xydefcsname@{dir2{--}}{\dash@ \double@\xydashh@}
+\xydefcsname@{dir3{--}}{\dash@ \triple@\xydashh@}
+\xyletcsnamecsname@{dir0{--}}{dir{}}
+\xyletcsnamecsname@{dir{--}}{dir1{--}}
+\xyletcsnamecsname@{dir{==}}{dir2{--}}
+\xydef@\dash@{\line@ \wdz@=2\wdz@ \ht\z@=2\ht\z@ \dp\z@=2\dp\z@
+ \multiply\D@c\tw@ \multiply\U@c\tw@ \multiply\L@c\tw@ \multiply\R@c\tw@
+ \def\Connect@@{\straight@\dashedSpread@}}
+\xydef@\dashedSpread@{\ifnum\z@<\count@@ \advance\count@@\@ne \fi
+ \advance\d@X\sd@X.5\A@ \advance\d@Y\sd@Y.5\B@
+ \ifdim\z@<\d@X \advance\X@c.5\A@ \fi \advance\Y@c\sd@Y.5\B@}
+\xydefcsname@{dir1{~~}}{\dashsquiggle@}
+\xydefcsname@{dir2{~~}}{\dashsquiggle@ \double@\xybsqlh@}
+\xydefcsname@{dir3{~~}}{\dashsquiggle@ \triple@\xybsqlh@}
+\xyletcsnamecsname@{dir0{~~}}{dir{}}
+\xyletcsnamecsname@{dir{~~}}{dir1{~~}}
+\xydef@\dashsquiggle@{\squiggle@
+ \multiply\D@c\tw@ \multiply\U@c\tw@ \multiply\L@c\tw@ \multiply\R@c\tw@
+ \dimen@=\L@c \advance\dimen@\R@c \wdz@=\dimen@ \ht\z@=\U@c \dp\z@=\D@c
+ \def\Connect@@{\straight@\dashsquiggledSpread@}}
+\xydef@\dashsquiggledSpread@{\ifnum\z@<\count@@ \advance\count@@\@ne \fi
+ \advance\X@c.5\A@ \advance\d@X.5\A@ \advance\Y@c.25\B@ \advance\d@Y.5\B@}
+\xyletcsnamecsname@{dir1{..}}{dir{.}}
+\xyletcsnamecsname@{dir2{..}}{dir2{.}}
+\xyletcsnamecsname@{dir3{..}}{dir3{.}}
+\xyletcsnamecsname@{dir{..}}{dir1{.}}
+\xyletcsnamecsname@{dir{::}}{dir2{.}}
+\xylet@\ctipEdge@=\czeroEdge@
+\xydefcsname@{dir1{>}}{\tip@}
+\xydefcsname@{dir^{>}}{\atip@}
+\xydefcsname@{dir_{>}}{\btip@}
+\xyletcsnamecsname@{dir0{>}}{dir{}}
+\xyletcsnamecsname@{dir{>}}{dir1{>}}
+\xydefcsname@{dir1{<}}{\reverseDirection@\tip@}
+\xydefcsname@{dir^{<}}{\reverseDirection@\btip@}
+\xydefcsname@{dir_{<}}{\reverseDirection@\atip@}
+\xyletcsnamecsname@{dir0{<}}{dir{}}
+\xyletcsnamecsname@{dir{<}}{dir1{<}}
+\xydef@\tip@{\tip@x\tip@@}
+\xydef@\atip@{\tip@x\atip@@}
+\xydef@\btip@{\tip@x\btip@@}
+\xydef@\tip@x#1{#1\egroup
+ \ctipEdge@
+ \def\Leftness@{.5}\def\Upness@{.5}%
+ \def\Drop@@{\styledboxz@}\def\Connect@@{\straight@{\dottedSpread@\jot}}}
+\xydef@\tip@@{\atip@@\btip@@}
+\xydef@\atip@@{\xyatipfont\DirectionChar}
+\xydef@\btip@@{\xybtipfont\DirectionChar}
+\xydefcsname@{dir2{>}}{\Tip@}
+\xydefcsname@{dir2{<}}{\reverseDirection@\Tip@}
+\xydef@\Tip@{\kern2.5pt \vrule height2.5pt depth2.5pt width\z@
+ \Tip@@ \kern2.5pt \egroup
+ \U@c=2.5pt \D@c=2.5pt \L@c=2.5pt \R@c=2.5pt \Edge@c={\circleEdge}%
+ \def\Leftness@{.5}\def\Upness@{.5}%
+ \def\Drop@@{\styledboxz@}\def\Connect@@{\straight@{\dottedSpread@\jot}}}
+\xydef@\Tip@@{\count@=\DirectionChar
+ \advance\count@-4 \ifnum\count@<\z@ \advance\count@128 \fi
+ \xyatipfont\char\count@
+ \advance\count@ 8 \ifnum127<\count@ \advance\count@-128 \fi
+ \xybtipfont\char\count@}
+\xydefcsname@{dir3{>}}{\Ttip@}
+\xydefcsname@{dir3{<}}{\composite@{}{:(-1,0)\dir3{>}}}
+\xydef@\Ttip@{\kern3.2pt \vrule height3.2pt depth3.2pt width\z@
+ \Ttip@@ \kern3.2pt \egroup
+ \U@c=3.2pt \D@c=3.2pt \L@c=3.2pt \R@c=3.2pt \Edge@c={\circleEdge}%
+ \def\Leftness@{.5}\def\Upness@{.5}%
+ \def\Drop@@{\styledboxz@}\def\Connect@@{\straight@{\dottedSpread@\jot}}}
+\xydef@\Ttip@@{%
+ \setboxz@h\bgroup\reverseDirection@\line@ \wdz@=\z@ \ht\z@=\z@ \dp\z@=\z@
+ \kern-\L@c \boxz@ \kern\L@c
+ {\vDirection@(1,-.31)\xydashl@ \xyatipfont\char\DirectionChar}%
+ {\vDirection@(1,+.31)\xydashl@ \xybtipfont\char\DirectionChar}}
+\xydefcsname@{dir1{|}}{\stopper@}
+\xydefcsname@{dir^{|}}{\aboveDirection@\xydashl@
+ \shiftdir@\line@\z@ \pointlike@{}\xydashh@}
+\xydefcsname@{dir_{|}}{\belowDirection@\xydashl@
+ \shiftdir@\line@\z@ \pointlike@{}\xydashh@}
+\xydefcsname@{dir2{|}}{\stopper@ \double@\xydashh@}
+\xydefcsname@{dir3{|}}{\stopper@ \double@{2\xydashh@}}
+\xyletcsnamecsname@{dir0{|}}{dir{}}
+\xyletcsnamecsname@{dir{|}}{dir1{|}}
+\xydef@\stopper@{\tip@x\stopper@@}
+\xydef@\stopper@@{\setboxz@h{\count@=\SemiDirectionChar \advance\count@64
+ \ifnum127<\count@ \advance\count@-128 \fi \xydashfont\char\count@\/}%
+ \setboxz@h{\kern-.5\wdz@ \dimen@=\sd@Y\cosDirection\xydashl@ 
+ \ifnum\SemiDirectionChar=95 \dimen@=\sd@X\sd@Y\dimen@ \fi
+ \raise.5\dimen@\boxz@}%
+ \wdz@=\z@ \ht\z@=\z@ \dp\z@=\z@ \boxz@}
+\xydefcsname@{dir1{(}}{\hook@}
+\xydefcsname@{dir^{(}}{\ahook@}
+\xydefcsname@{dir_{(}}{\bhook@}
+\xyletcsnamecsname@{dir0{(}}{dir{}}
+\xyletcsnamecsname@{dir{(}}{dir1{(}}
+\xydefcsname@{dir1{)}}{\reverseDirection@\hook@}
+\xydefcsname@{dir^{)}}{\reverseDirection@\bhook@}
+\xydefcsname@{dir_{)}}{\reverseDirection@\ahook@}
+\xyletcsnamecsname@{dir0{)}}{dir{}}
+\xyletcsnamecsname@{dir{)}}{dir1{)}}
+\xydef@\hook@{\tip@x\hook@@}
+\xydef@\hook@@{\setboxz@h{\xybsqlfont
+ \vDirection@(1,-1){.707107\xybsqll@}%
+ \hbox{\DirectionChar
+ \kern-\d@Y\raise\d@X\hbox{\count@=\DirectionChar \advance\count@-32
+ \ifnum\count@<\z@ \advance\count@128 \fi \char\count@}}}%
+ \wdz@=\z@ \ht\z@=\z@ \dp\z@=\z@ \boxz@}
+\xydef@\ahook@{\tip@x\ahook@@}
+\xydef@\ahook@@{\setboxz@h{\xybsqlfont
+ \vDirection@(1,-1){.707107\xybsqll@}\kern-\d@X
+ \lower\d@Y\hbox{\DirectionChar
+ \kern-\d@Y\raise\d@X\hbox{\count@=\DirectionChar \advance\count@-32
+ \ifnum\count@<\z@ \advance\count@128 \fi \char\count@}}}%
+ \wdz@=\z@ \ht\z@=\z@ \dp\z@=\z@ \boxz@}
+\xydef@\bhook@{\tip@x\bhook@@}
+\xydef@\bhook@@{\setboxz@h{\xybsqlfont
+ \vDirection@(-1,-1){.707107\xybsqll@}\DirectionChar
+ \kern\d@X\raise\d@Y\hbox{\count@=\DirectionChar \advance\count@-96
+ \ifnum\count@<\z@ \advance\count@128 \fi \char\count@}}%
+ \wdz@=\z@ \ht\z@=\z@ \dp\z@=\z@ \boxz@}
+\xydefcsname@{dir^{'}}{\reverseDirection@\bturn@}
+\xydefcsname@{dir_{'}}{\reverseDirection@\aturn@}
+\xydefcsname@{dir^{`}}{\aturn@}
+\xydefcsname@{dir_{`}}{\bturn@}
+\xydef@\aturn@{\tip@x\aturn@@}
+\xydef@\aturn@@{\setboxz@h{\xybsqlfont
+ \vDirection@(1,-1){.707107\xybsqll@}\kern-\d@X
+ \lower\d@Y\hbox{\DirectionChar}}%
+ \wdz@=\z@ \ht\z@=\z@ \dp\z@=\z@ \boxz@}
+\xydef@\bturn@{\tip@x\bturn@@}
+\xydef@\bturn@@{\setboxz@h{\xybsqlfont
+ \vDirection@(-1,-1){.707107\xybsqll@}\DirectionChar}%
+ \wdz@=\z@ \ht\z@=\z@ \dp\z@=\z@ \boxz@}
+\xydef@\newdir#1#{\newdir@{#1}}
+\xydef@\newdir@#1#2#3{\xydefcsname@{dir#1{#2}}{\composite@{}{#3}}}
+\xydef@\shiftdir@#1#2{%
+ \setbox\z@=\hbox\bgroup#1\relax
+ \setboxz@h{\dimen@ii=#2\relax
+ \dimen@=-\cosDirection\dimen@ii \advance\dimen@-\L@c
+ \kern\dimen@ \lower\sinDirection\dimen@ii\boxz@}%
+ \wdz@\z@ \ht\z@=\z@ \dp\z@=\z@ \boxz@}
+\xylet@\tipjot@=\jot
+\xydefcsname@{dir1{>>}}{\shiftdir@\tip@\tipjot@ \tip@}
+\xydefcsname@{dir^{>>}}{\shiftdir@\atip@\tipjot@ \atip@}
+\xydefcsname@{dir_{>>}}{\shiftdir@\btip@\tipjot@ \btip@}
+\xydefcsname@{dir2{>>}}{\composite@{}{h!/\tipjot@/\dir2{>}*\dir2{>}}}
+\xydefcsname@{dir3{>>}}{\composite@{}{h!/\tipjot@/\dir3{>}*\dir3{>}}}
+\xyletcsnamecsname@{dir0{>>}}{dir{}}
+\xyletcsnamecsname@{dir{>>}}{dir1{>>}}
+\xydefcsname@{dir1{<<}}{\reverseDirection@ \shiftdir@\tip@\tipjot@ \tip@}
+\xydefcsname@{dir^{<<}}{\reverseDirection@ \shiftdir@\btip@\tipjot@ \btip@}
+\xydefcsname@{dir_{<<}}{\reverseDirection@ \shiftdir@\atip@\tipjot@ \atip@}
+\xydefcsname@{dir2{<<}}{\composite@{}{h!/-\tipjot@/\dir2{<}*\dir2{<}}}
+\xydefcsname@{dir3{<<}}{\composite@{}{h!/-\tipjot@/\dir3{<}*\dir3{<}}}
+\xyletcsnamecsname@{dir0{<<}}{dir{}}
+\xyletcsnamecsname@{dir{<<}}{dir1{<<}}
+\xydefcsname@{dir1{||}}{\shiftdir@\stopper@\xydashh@ \shiftdir@\stopper@\z@
+ \pointlike@{}\jot}
+\xydefcsname@{dir^{||}}{\shiftdir@{\aboveDirection@\xydashl@\line@}\xydashh@
+ \shiftdir@{\aboveDirection@\xydashl@\line@}\z@ \pointlike@{}\jot}
+\xydefcsname@{dir_{||}}{\shiftdir@{\belowDirection@\xydashl@\line@}\xydashh@
+ \shiftdir@{\belowDirection@\xydashl@\line@}\z@ \pointlike@{}\jot}
+\xydefcsname@{dir2{||}}{\shiftdir@\stopper@\xydashh@ \shiftdir@\stopper@\z@
+ \pointlike@{}\jot \double@\xydashh@}
+\xydefcsname@{dir3{||}}{\shiftdir@\stopper@\xydashh@ \shiftdir@\stopper@\z@
+ \pointlike@{}\jot \double@{2\xydashh@}}
+\xyletcsnamecsname@{dir0{||}}{dir{}}
+\xyletcsnamecsname@{dir{||}}{dir1{||}}
+\xydefcsname@{dir1{>|}}{\shiftdir@\stopper@\z@ \tip@}
+\xydefcsname@{dir2{>|}}{\composite@{}{\dir2{>}*\dir2{|}}}
+\xydefcsname@{dir3{>|}}{\composite@{}{\dir3{>}*\dir3{|}}}
+\xyletcsnamecsname@{dir0{>|}}{dir{}}
+\xyletcsnamecsname@{dir{>|}}{dir1{>|}}
+\xydefcsname@{dir1{>>|}}{\shiftdir@\stopper@\z@ \shiftdir@\tip@\tipjot@ \tip@}
+\xydefcsname@{dir2{>>|}}{\composite@{}{h!/\tipjot@/\dir2{>}*\dir2{>}*\dir2{|}}}
+\xydefcsname@{dir3{>>|}}{\composite@{}{h!/\tipjot@/\dir3{>}*\dir3{>}*\dir3{|}}}
+\xyletcsnamecsname@{dir0{>>|}}{dir{}}
+\xyletcsnamecsname@{dir{>>|}}{dir1{>>|}}
+\xydefcsname@{dir1{|<}}{\reverseDirection@ \shiftdir@\stopper@\z@ \tip@}
+\xydefcsname@{dir2{|<}}{\reverseDirection@ \shiftdir@\stopper@\z@ \Tip@}
+\xydefcsname@{dir3{|<}}{\reverseDirection@ \shiftdir@\stopper@\z@ \Ttip@}
+\xyletcsnamecsname@{dir0{|<}}{dir{}}
+\xyletcsnamecsname@{dir{|<}}{dir1{|<}}
+\xydefcsname@{dir1{|<<}}{\reverseDirection@
+ \shiftdir@\stopper@\z@ \shiftdir@\tip@\tipjot@ \tip@}
+\xydefcsname@{dir2{|<<}}{%
+ \composite@{}{h!/-\tipjot@/\dir2{<}*\dir2{<}*\dir2{|}}}
+\xydefcsname@{dir3{|<<}}{%
+ \composite@{}{h!/-\tipjot@/\dir3{<}*\dir3{<}*\dir3{|}}}
+\xyletcsnamecsname@{dir0{|<<}}{dir{}}
+\xyletcsnamecsname@{dir{|<<}}{dir1{|<<}}
+\xydefcsname@{dir1{|-}}{\shiftdir@\stopper@\z@
+ \shiftdir@\line@\z@ \pointlike@{}\jot}
+\xydefcsname@{dir^{|-}}{\shiftdir@{\aboveDirection@\xydashl@ \line@}\z@
+ \shiftdir@\line@\z@ \pointlike@{}\jot}
+\xydefcsname@{dir_{|-}}{\shiftdir@{\belowDirection@\xydashl@ \line@}\z@
+ \shiftdir@\line@\z@ \pointlike@{}\jot}
+\xydefcsname@{dir2{|-}}{\shiftdir@\stopper@\z@
+ \shiftdir@\line@\z@ \pointlike@{}\jot \double@\xydashh@}
+\xydefcsname@{dir3{|-}}{\shiftdir@\stopper@\z@
+ \shiftdir@\line@\z@ \pointlike@{}\jot \triple@\xydashh@}
+\xyletcsnamecsname@{dir0{|-}}{dir{}}
+\xyletcsnamecsname@{dir{|-}}{dir1{|-}}
+\xyletcsnamecsname@{dir{|=}}{dir2{|-}}
+\xydefcsname@{dir{+}}{%
+ \DN@##1{\composite@{}{##10\dir{|}*!C##10\dir{-}}}\addEQ@\next@}
+\xyletcsnamecsname@{dir0{+}}{dir{}}
+\xydefcsname@{dir{x}}{\vDirection@(1,1)\jot
+ \DN@##1{\composite@{}{##10\dir{|}*!C##10\dir{-}}}\addEQ@\next@}
+\xyletcsnamecsname@{dir0{x}}{dir{}}
+\xydefcsname@{dir{/}}{\vDirection@(1,-.3)\jot \stopper@}
+\xyletcsnamecsname@{dir0{/}}{dir{}}
+\xydefcsname@{dir{//}}{\vDirection@(1,-.3)\jot
+ \shiftdir@\stopper@\xydashh@ \stopper@}
+\xyletcsnamecsname@{dir0{//}}{dir{}}
+\xydefcsname@{dir{*}}{\solidpoint@}
+\xydef@\solidpoint@{%
+ \pointlike@{\kern-1.8pt\lower1.8pt\hbox{$\scriptstyle\bullet$}}\jot}
+\xyletcsnamecsname@{dir0{*}}{dir{}}
+\xydefcsname@{dir{o}}{\hollowpoint@}
+\xydef@\hollowpoint@{%
+ \pointlike@{\kern-1.8pt\lower1.8pt\hbox{$\scriptstyle\circ$}}\jot}
+\xyletcsnamecsname@{dir0{o}}{dir{}}
+\message{circles,}
+\xydef@\cir#1#{\hbox\bgroup
+ \afterVECTORorEMPTY{\xy@@{\R@=\X@c}\cir@}{\xy@@{\R@=\R@c}\cir@}#1@}
+\xydef@\cir@#1@#2{%
+ \DN@{#1}\ifx\next@\empty\else \xyerror@{illegal circle <radius>: must be
+ <vector> or <empty>}{}\fi
+ \afterCIRorDIAG{\xyFN@\cir@cir}{\xyFN@\cir@diag}#2@}
+\xydef@\cir@cir{%
+ \ifx \space@\next \expandafter\DN@\space{\xyFN@\cir@cir}%
+ \else \ifx @\next \DN@ @{\cir@i}%
+ \else \xyerror@{illegal <cir>: must have form <diag><orient><diag> or
+ <empty>}{}%
+ \fi\fi \next@}
+\xydef@\cir@diag{%
+ \DN@{\xyerror@{illegal <cir>: must have form <diag><orient><diag> or
+ <empty>}{}}%
+ \ifx @\next \ifnum\count@=8
+ \DN@ @{\def\CIRin@@{0}\def\CIRorient@@{\CIRfull@}\def\CIRout@@{7}\cir@i}%
+ \fi\fi \next@}
+\xydef@\cir@i{%
+ \ifnum\CIRin@@=8 \xyerror@{incomplete <cir> specification}{%
+The <cir> you specified as <diag><orient><diag> is not sufficiently specific.}%
+ \def\CIRin@@{0}\fi
+ \ifdim\R@<.5\p@ \R@=\z@ \zerodot
+ \else \CIRorient@@ \cirbuild@ \fi
+ \L@c=\R@ \R@c=\R@ \D@c=\R@ \U@c=\R@ \def\Leftness@{.5}\def\Upness@{.5}%
+ \def\Drop@@{\styledboxz@}\def\Connect@@{\straight@\relax}%
+ \Edge@c={\circleEdge}\OBJECT@x}
+\xydef@\CIRin@@{3}
+\xydef@\CIRout@@{3}
+\xylet@\CIRorient@@=\empty
+\xydef@\afterCIRorDIAG#1#2{\def\afterCIR@{#1}\def\afterCIRDIAG@{#2}\xyFN@\CIR@}
+\xylet@\afterCIR@=\empty
+\xylet@\afterCIRDIAG@=\empty
+\xydef@\CIR@{\count@=8 \afterDIAG{\edef\CIRin@@{\the\count@}\xyFN@\CIR@@}}
+\xydef@\CIR@@{%
+ \ifx \space@\next \expandafter\DN@\space{\xyFN@\CIR@@}%
+ \else\ifx ^\next
+ \DN@ ^{\def\CIRorient@@{\CIRacw@}%
+ \afterDIAG{\edef\CIRout@@{\the\count@}\afterCIR@}}%
+ \else\ifx _\next
+ \DN@_{\def\CIRorient@@{\CIRcw@}%
+ \afterDIAG{\edef\CIRout@@{\the\count@}\afterCIR@}}%
+ \else
+ \DN@{\def\CIRorient@@{\relax}\afterCIRDIAG@}%
+ \fi\fi\fi \next@}
+\xylet@\CIRtest@@=\relax
+\xydef@\CIRlo@@{0}
+\xydef@\CIRhi@@{0}
+\xydef@\CIRfull@{\def\CIRtest@@##1##2{##2}}
+\xydef@\cirbuild@{\cirrestrict@@ \multiply\count@8
+ \circhar@0\circhar@7\kern\dimen@
+ \circhar@1\circhar@6\kern\dimen@
+ \circhar@2\circhar@5\kern\dimen@
+ \circhar@3\circhar@4\kern\dimen@}
+\xydef@\circhar@#1{%
+ \setboxz@h{\circhar@@{#1}}\dimen@=\wdz@ \wdz@=\z@ \ht\z@=\R@ \dp\z@=\R@
+ \CIRtest@@#1{\styledboxz@}\setbox\z@=\copy\voidb@x}
+\xydef@\circhar@@#1{{\xycircfont \advance\count@#1\relax \char\count@}}
+\xydef@\cirrestrict@@{\begingroup \dimen@=\R@
+ \setboxz@h{\xycircfont\char\z@\char\@ne}\A@=\wdz@
+ \ifdim\R@<8\A@ \count@=\dimen@ \divide\count@\A@ \advance\count@\m@ne
+ \else\ifdim\R@<16\A@ \count@=\dimen@
+ \dimen@=2\A@ \divide\count@\dimen@ \advance\count@3
+ \else\ifdim\R@<32\A@ \count@=\dimen@
+ \dimen@=4\A@ \divide\count@\dimen@ \advance\count@7
+ \else \count@=15 \fi\fi\fi
+ \R@=\A@
+ \ifnum\count@<8 \multiply\R@\count@ \advance\R@\A@
+ \else\ifnum\count@<12 \multiply\R@\count@ \multiply\R@\tw@ \advance\R@-6\A@
+ \else\ifnum\count@<16 \multiply\R@\count@ \multiply\R@ 4 \advance\R@-28\A@
+ \else \multiply\R@ 32 \fi\fi\fi
+ \edef\@tmp{\endgroup \R@=\the\R@ \count@=\the\count@}\@tmp}
+\xydef@\CIRacw@{\count@@=\CIRin@@ \count@=\CIRout@@
+ \ifnum\count@=8 \count@=\count@@
+ \ifnum\count@<6 \advance\count@\tw@ \else \advance\count@-6 \fi \fi
+ \ifnum\count@@<\@ne \advance\count@@7 \else \advance\count@@\m@ne \fi
+ \ifnum\count@<\@ne \advance\count@7 \else \advance\count@\m@ne \fi
+ \ifnum\count@@>\count@ \let\CIRtest@@=\CIRtest@outside
+ \edef\CIRlo@@{\the\count@}\edef\CIRhi@@{\the\count@@}%
+ \else \let\CIRtest@@=\CIRtest@inside
+ \edef\CIRlo@@{\the\count@@}\edef\CIRhi@@{\the\count@}%
+ \fi}
+\xydef@\CIRcw@{\count@@=\CIRin@@ \count@=\CIRout@@
+ \ifnum\count@=8 \count@=\count@@
+ \ifnum\count@>\@ne \advance\count@-\tw@ \else \advance\count@6 \fi \fi
+ \ifnum\count@@<5 \advance\count@@\thr@@ \else \advance\count@@-5 \fi
+ \ifnum\count@<5 \advance\count@\thr@@ \else \advance\count@-5 \fi
+ \ifnum\count@@<\count@ \let\CIRtest@@=\CIRtest@outside
+ \edef\CIRlo@@{\the\count@@}\edef\CIRhi@@{\the\count@}%
+ \else \let\CIRtest@@=\CIRtest@inside
+ \edef\CIRlo@@{\the\count@}\edef\CIRhi@@{\the\count@@}%
+ \fi}
+\xydef@\CIRtest@inside#1#2{\let\next@=\relax
+ \ifnum\CIRlo@@>#1\else \ifnum#1<\CIRhi@@\DN@{#2}\fi\fi \next@}
+\xydef@\CIRtest@outside#1#2{\let\next@=\relax
+ \ifnum\CIRlo@@>#1\DN@{#2}\else \ifnum#1<\CIRhi@@\else\DN@{#2}\fi\fi \next@}
+\message{text;}
+\xydef@\txt{\hbox\bgroup \xyFN@\txt@}
+\xydef@\txt@{%
+ \addLT@\ifx\next \addGT@{\addLT@\DN@##1}{\A@=##1\txt@i}%
+ \else \DN@{\A@=\maxdimen \txt@i}\fi \next@}
+\xydef@\txt@i#1#{%
+ \setboxz@h{#1\mathstrut}\dimen@=\ht\z@ \advance\dimen@\dp\z@
+ \baselineskip=1.1\dimen@ \lineskip=.2\dimen@ \lineskiplimit=\lineskip
+ \def\txtline@@##1{\txtline@{#1}{##1}}\object@\txt@ii}
+\xylet@\txtline@@=\eat@
+\xydef@\txtline@#1#2{\relax\setboxz@h{#1{\ignorespaces #2\unskip}}%
+ \ifdim\A@<\wdz@ \setboxz@h{\hsize=\A@
+ \leftskip=0pt plus4em \rightskip=\leftskip
+ \parfillskip=0pt \parindent=0pt
+ \spaceskip=.3333em \xspaceskip=.5em
+ \pretolerance=9999 \tolerance=9999
+ \hyphenpenalty=9999 \exhyphenpenalty=9999
+ \vbox{#1\noindent\ignorespaces #2\unskip}}%
+ \else\ifdim\A@<\maxdimen\setboxz@h to\A@{\hfil\boxz@\hfil}\fi\fi
+ \boxz@}
+\xydef@\txt@ii#1{\vbox{%
+ \let\\=\cr
+ \tabskip=\z@skip \halign{\relax\hfil\txtline@@{##}\hfil\cr\leavevmode#1\crcr}}}
+\message{options;}
+\xylet@\xyoption@@=\relax
+\xydef@\xyoption#1{\DN@{#1}\edef\next@{\codeof\next@}%
+ \csname xyeveryrequest@\next@ @\endcsname
+ \xyinputorelse@{xy#1}{\xyoption@truncated#1@@@@@@@@@,#1@}%
+ \def\xyoption@@{#1}\edef\xyoption@@{\codeof\xyoption@@}
+ \expandafter\let\expandafter\next@\csname xy\xyoption@@ version\endcsname
+ \expandafter\let\csname xy\xyoption@@ loaded\endcsname=\next@
+ \runxywith@ \ignorespaces}
+\xydef@\xyoption@truncated#1#2#3#4#5#6#7@#8,#9@{%
+ \DN@{#7}\ifx\next@\empty \DN@##1##2{##2}\else\let\next@=\xyinputorelse@ \fi
+ \next@{xy#1#2#3#4#5#6}%
+ {\DN@{#1#2#3#4#5#6}\edef\next@{\codeof\next@}%
+ \xyerror@{No `\next@' option}{%
+Your \xyoption{#9} request could not be granted: the required^^J%
+file `xy#9.tex' could not be located. Please make sure that it is^^J%
+properly installed before continuing.}}}
+\xydef@\xyrequire#1{\DN@{#1}\edef\next@{\codeof\next@}%
+ \csname xyeveryrequest@\next@ @\endcsname
+ \expandafter\let\expandafter\next@\csname xy\codeof\next@ loaded\endcsname
+ \ifx \next@\relax \DN@{\xyoption{#1}}\else \DN@{\ignorespaces}\fi \next@}
+\xylet@\xywith@@=\empty
+\xydef@\runxywith@{\let\xywithdo@@=\xywithtest@ \xywith@@}
+\xydef@\xywithoption#1#2{\DN@{#1}\edef\next@{\codeof\next@}%
+ \expandafter\let\expandafter\nextii@\csname xy\next@ loaded\endcsname
+ \ifx \nextii@\relax
+ \expandafter\def\expandafter\xywith@@\expandafter{\xywith@@ 
+ \xywithdo@@{#1}{#2}}%
+ \else \expandafter\xywithrun@\expandafter{\next@}{#2}\fi}
+\xydef@\xywithtest@#1#2{\DN@{#1}\edef\next@{\codeof\next@}%
+ \ifx\next@\xyoption@@ \expandafter\xywithrun@\expandafter{\next@}{#2}\fi}
+\xydef@\xywithrun@#1#2{\csname xyeverywithoption@#1@\endcsname #2}
+\xydef@\xyevery@#1#2#3{\DN@{#2}\edef\next@{\codeof\next@}%
+ \expandafter\ifx\csname xyevery#1@\next@ @\endcsname\relax
+ \expandafter\let\csname xyevery#1@\next@ @\endcsname=\empty \fi
+ \DNii@##1{\expandafter\def\expandafter##1\expandafter{##1#3}}%
+ \expandafter\nextii@\csname xyevery#1@\next@ @\endcsname}
+\xydef@\xyeveryrequest{\xyevery@{request}}
+\xydef@\xyeverywithoption{\xyevery@{withoption}}
+\xydef@\xyprovide#1#2#3#4#5#6{%
+ \def\xyoption@@{#1}\edef\xyoption@@{\codeof\xyoption@@}\edef\next@{#3}%
+ \message{ Xy-pic option: #2 v.\next@}%
+ \expandafter\let\expandafter\nextii@\csname xy\xyoption@@ loaded\endcsname
+ \ifx \next@\nextii@ \message{not reloaded}\endinput
+ \else
+ \ifx \nextii@\relax\else \xyerror@{Option `\xyoption@@' version mismatch}{%
+You previously loaded, or the format has preloaded, a different version^^J%
+of this option. Just continue to try to load this version instead (and^^J%
+be prepared for a lot of warnings about redefinitions).}%
+ \fi
+ \expandafter\let\csname xy\xyoption@@ version\endcsname=\next@
+ \expandafter\let\expandafter\xyenddocmode@\csname DOCMODE\endcsname
+ \expandafter\let\csname DOCMODE\endcsname\xyprovidedocmode@
+ \xycatcodes
+ \fi \ignorespaces}
+\xydef@\xyendinput{\expandafter\let\csname DOCMODE\endcsname=\xyenddocmode@
+ \message{loaded}\xyuncatcodes\endinput}
+\expandafter\xylet@\expandafter\xyprovidedocmode@\csname DOCMODE\endcsname
+\xylet@\xyenddocmode@=\relax
+\xydef@\xydriversloaded@@{\do{unload}}
+\xylet@\xydriversselected@@=\empty
+\xylet@\xydriver@unload@support@@=\empty
+\xydef@\selectdriver@#1{\DN@{#1}\edef\next@{\codeof\next@}%
+ \expandafter\selectdriver@@\expandafter{\next@}}
+\xydef@\selectdriver@single#1{\xysetup@@{\def\xydriversselected@@{\do{#1}}%
+ \xyLoadDrivers@}\let\selectdriver@@=\changedriver@single}
+\xydef@\changedriver@single#1{\xysetup@@{\def\xydriversselected@@{\do{#1}}%
+ \xyReloadDrivers@}}
+\xydef@\selectdriver@multiple#1{\expandafter\xysetup@@\expandafter{%
+ \expandafter\def\expandafter\xydriversselected@@\expandafter{%
+ \xydriversselected@@ \do{#1}}%
+ \let\do=\activatedriver@ \xydriversselected@@}}
+\xydef@\UseSingleDriver{\let\selectdriver@@=\selectdriver@single}
+\xydef@\MultipleDrivers{\let\selectdriver@@=\selectdriver@multiple}
+\xydef@\xyLoadDrivers@{\let\do=\activatedriver@ \xydriversselected@@}
+\xydef@\xyReloadDrivers@{\activatedriver@{unload}\xyLoadDrivers@}
+\xylet@\xyReloadDrivers=\xyReloadDrivers@
+\xydef@\activatedriver@#1{%
+ \let\doii=\activatedriversupport@ \csname xydriver@#1@support@@\endcsname}
+\xydef@\activatedriversupport@#1#2{%
+ \expandafter\ifx\csname xy#1loaded\endcsname\relax\DN@{}%
+ \else\DN@{#2}\fi \next@}
+\UseSingleDriver
+\xydef@\xyselectoptionsupport@{\let\do=\activatedriver@ \xydriversselected@@}
+\xydef@\xyShowDrivers{{\W@{Loaded:}\let\do=\doShow \xydriversloaded@@
+ \let\next@=\empty
+ \def\do##1{\ifx\next@\empty \DN@{##1}%
+ \else \expandafter\DN@\expandafter{\next@, ##1}\fi}%
+ \xydriversselected@@\W@{Selected: \next@.}}}
+\def\doShow#1{\let\next@=\empty
+ \def\doii##1##2{\ifx\next@\empty \DN@{##1}%
+ \else \expandafter\DN@\expandafter{\next@, ##1}\fi}%
+ \csname xydriver@#1@support@@\endcsname
+ \W@{ <driver> #1 supports \next@.}}
+\xydef@\newdriver#1{%
+ \def\nextiii@##1{%
+ \expandafter\def\expandafter\xydriversloaded@@
+ \expandafter{\xydriversloaded@@\do{##1}}%
+ \expandafter\let\csname xydriver@\xyoption@@ @support@@\endcsname=\empty}%
+ \def\do##1{\DNii@{##1}\ifx\xyoption@@\nextii@ \let\nextiii@=\eat@ \fi}%
+ \xydriversloaded@@ \expandafter\nextiii@\expandafter{\xyoption@@}%
+ #1\relax
+ \DN@##1{\xywithoption{##1}{%
+ \selectdriver@{##1}\xyeveryrequest{##1}{\selectdriver@{##1}}}}%
+ \expandafter\next@\expandafter{\xyoption@@}\ignorespaces}
+\xydef@\xyaddsupport{\expandafter\xyadddriversupport@\expandafter{\xyoption@@}}
+\xydef@\xyaddunsupport{\xyadddriversupport@{unload}}
+\xydef@\xyadddriversupport@#1#2#3{%
+ \DNii@{#1}\edef\nextii@{\codeof\nextii@}%
+ \def\nextiii@{#2}\edef\nextiii@{\codeof\nextiii@}%
+\def\next{\xybug@{<driver> \nextii@\space not loaded}}%
+\def\do##1{\DN@{##1}\edef\next@{\codeof\next@}%
+ \ifx\next@\nextii@ \let\next=\relax \fi}\xydriversloaded@@ \next
+\def\next{\xybug@{<driver> \nextii@\space already supports \nextiii@}}%
+\def\doii##1##2{\DN@{##1}\edef\next@{\codeof\next@}%
+ \ifx\next@\nextiii@ \let\next=\relax \fi}\xydriversloaded@@ \next
+ \DN@##1##2{\ifx##1\relax \let##1=\empty \fi
+ \expandafter\def\expandafter##1\expandafter{##1\doii{##2}{#3}}}%
+ \expandafter\expandafter\expandafter\next@
+ \expandafter\expandafter\csname xydriver@\nextii@ @support@@\endcsname
+ \expandafter{\nextiii@}%
+ \DN@##1{\expandafter\xyeverywithoption\expandafter{\nextiii@}{%
+ \xytestforsupport@{##1}}}%
+ \expandafter\next@\expandafter{\nextii@}\xydriversloaded@@
+ \ignorespaces}
+\xydef@\xytestforsupport@#1{\def\do##1{\DN@{##1}\DNii@{#1}%
+ \ifx\next@\nextii@ \expandafter\xyselectoptionsupport@ \fi}}
+\xynew@{if}\ifunsupportwarnings@
+\xydef@\xyunsupportwarning@#1#2{{%
+ \DN@{#1}\edef\next@{\codeof\next@}
+ \expandafter\ifx\csname xywarn@unload@\next@ @\endcsname\relax
+ \expandafter\gdef\csname xywarn@unload@\next@ @\endcsname{}%
+ \ifunsupportwarnings@ \xyclosedown@@\xyunsupportwarnings@@ \fi
+ \global\unsupportwarnings@true
+ \expandafter\gdef\expandafter\xyunsupportwarnings@@\expandafter{%
+ \xyunsupportwarnings@@ \W@{ #2.}}%
+ \W@{}%
+ \W@{Xy-pic Warning: `\next@' reproduction is NOT EXACT\xytracelineno@:}%
+ \W@{ #2.}%
+ \W@{}%
+ \fi}}
+\xydef@\xyunsupportwarnings@@{\W@{}%
+ \W@{Xy-pic Warning: The produced DVI file is NOT EXACT:}}
+\xynew@{if}\ifsupportwarnings@
+\xydef@\xysupportwarning@#1#2{{%
+ \DN@{#1}\edef\next@{\codeof\next@}\DNii@{#2}\edef\nextii@{\codeof\nextii@}%
+ \expandafter\ifx\csname xywarn@\next@ @\nextii@ @\endcsname\relax
+ \expandafter\gdef\csname xywarn@\next@ @\nextii@ @\endcsname{}%
+ \ifsupportwarnings@ \xyclosedown@@\xysupportwarnings@@ \fi
+ \global\supportwarnings@true
+ \expandafter\gdef\expandafter\xysupportwarnings@@\expandafter{%
+ \xysupportwarnings@@ \driverextensioncomplain@{#1}{#2}}%
+ \W@{}%
+ \W@{Xy-pic Warning: The produced DVI file is NOT PORTABLE\xytracelineno@:}%
+ \driverextensioncomplain@{#1}{#2}%
+ \W@{}%
+ \fi}}
+\xydef@\xysupportwarnings@@{%
+ \W@{Xy-pic Warning: The produced DVI file is NOT PORTABLE:}}
+\xydef@\driverextensioncomplain@#1#2{%
+ \DN@{#1}\edef\next@{\codeof\next@}\DNii@{#2}\edef\nextii@{\codeof\nextii@}%
+ \W@{ It contains <driver> `\next@' \string\special s for the `\nextii@'
+ extension.}}
+\xydef@\dvimessage@#1#2{\xysupportwarning@{#1}{#2}}
+\xynew@{if}\ifxydrivernoloads@
+\xydef@\xydrivernoload@#1{\xyerror@{Could not load xy#1.tex}{}%
+ \xydrivernoloads@true}
+\xydef@\xydriverfail@#1{\xyerror@{Sorry, #1 not supported.}{}}
+\xydef@\xyunload@#1{\xywarning@{Unloading #1.}}
+\message{algorithms: directions,}
+\xydef@\DirectionfromtheDirection@{\noexpand\Direction=\the\Direction
+ \noexpand\d@X=\the\d@X \noexpand\d@Y=\the\d@Y
+ \def\noexpand\sd@X{\sd@X}\def\noexpand\sd@Y{\sd@Y}%
+ \noexpand\K@dXdY=\the\K@dXdY \noexpand\K@dYdX=\the\K@dYdX
+ \chardef\noexpand\DirectionChar=\the\DirectionChar
+ \chardef\noexpand\SemiDirectionChar=\the\SemiDirectionChar
+ \def\noexpand\cosDirection{\cosDirection}%
+ \def\noexpand\sinDirection{\sinDirection}%
+ \noexpand\resetupDirection@}
+\xydef@\Directiontest@@#1#2{#2}
+\xydef@\setupDirection@{%
+ \d@X=\X@c\advance\d@X-\X@p \d@Y=\Y@c\advance\d@Y-\Y@p
+ \Directiontest@@\relax\setupDirection@i}
+\xydef@\setupDirection@i{\DN@{\setupDirection@ii}%
+ \ifdim\d@X=\d@Y
+ \ifdim\zz@\d@Y \DN@{}%
+ \else\ifdim\d@X<\z@ \DN@{\dlDirection@{-1.4142\d@X}}%
+ \else \DN@{\urDirection@{1.4142\d@X}}\fi\fi
+ \else\ifdim\d@X<\d@Y
+ \ifdim\zz@\d@X \DN@{\uDirection@\d@Y}%
+ \else\ifdim\zz@\d@Y \DN@{\lDirection@{-\d@X}}%
+ \else\ifdim-\d@X=\d@Y \DN@{\ulDirection@{-1.4142\d@X}}\fi\fi\fi
+ \else
+ \ifdim\zz@\d@X \DN@{\dDirection@{-\d@Y}}%
+ \else\ifdim\zz@\d@Y \DN@{\rDirection@\d@X}%
+ \else\ifdim\d@X=-\d@Y \DN@{\drDirection@{1.4142\d@X}}\fi\fi\fi
+ \fi\fi \next@}
+\xydef@\dlDirection@{\Direction=\z@
+ \def\cosDirection{-.7071}\def\sinDirection{-.7071}\def\sd@X{-}\def\sd@Y{-}%
+ \chardef\DirectionChar=127\relax\chardef\SemiDirectionChar=127\relax
+ \K@dXdY=1\K@ \K@dYdX=1\K@ \fixedDirection@}
+\xydef@\dDirection@{\Direction=\K@
+ \def\cosDirection{0}\def\sinDirection{-1}\def\sd@Y{-}%
+ \edef\sd@X{\ifdim\X@c<\X@p-\else+\fi}%
+ \chardef\DirectionChar=15\relax\chardef\SemiDirectionChar=31\relax
+ \K@dXdY=\z@ \K@dYdX=\KK@\K@ \fixedDirection@}
+\xydef@\drDirection@{\dimen@ii=2\K@ \Direction=\dimen@ii
+ \def\cosDirection{+.7071}\def\sinDirection{-.7071}\def\sd@X{+}\def\sd@Y{-}%
+ \chardef\DirectionChar=31\relax\chardef\SemiDirectionChar=63\relax
+ \K@dXdY=-1\K@ \K@dYdX=-1\K@ \fixedDirection@}
+\xydef@\rDirection@{\dimen@ii=3\K@ \Direction=\dimen@ii
+ \def\cosDirection{+1}\def\sinDirection{0}\def\sd@X{+}%
+ \edef\sd@Y{\ifdim\Y@c<\Y@p-\else+\fi}%
+ \chardef\DirectionChar=47\relax\chardef\SemiDirectionChar=95\relax
+ \K@dXdY=\KK@\K@ \K@dYdX=\z@ \fixedDirection@}
+\xydef@\urDirection@{\dimen@ii=4\K@ \Direction=\dimen@ii
+ \def\cosDirection{+.7071}\def\sinDirection{+.7071}\def\sd@X{+}\def\sd@Y{+}%
+ \chardef\DirectionChar=63\relax\chardef\SemiDirectionChar=127\relax
+ \K@dXdY=1\K@ \K@dYdX=1\K@ \fixedDirection@}
+\xydef@\uDirection@{\dimen@ii=-3\K@ \Direction=\dimen@ii
+ \def\cosDirection{0}\def\sinDirection{+1}\def\sd@Y{+}%
+ \edef\sd@X{\ifdim\X@c<\X@p-\else+\fi}%
+ \chardef\DirectionChar=79\relax\chardef\SemiDirectionChar=31\relax
+ \K@dXdY=\z@ \K@dYdX=\KK@\K@ \fixedDirection@}
+\xydef@\ulDirection@{\dimen@ii=-2\K@ \Direction=\dimen@ii
+ \def\cosDirection{-.7071}\def\sinDirection{+.7071}\def\sd@X{-}\def\sd@Y{+}%
+ \chardef\DirectionChar=95\relax\chardef\SemiDirectionChar=63\relax
+ \K@dXdY=-1\K@ \K@dYdX=-1\K@ \fixedDirection@}
+\xydef@\lDirection@{\Direction=-\K@
+ \def\cosDirection{-1}\def\sinDirection{0}\def\sd@X{-}%
+ \edef\sd@Y{\ifdim\Y@c<\Y@p-\else+\fi}%
+ \chardef\DirectionChar=111\relax\chardef\SemiDirectionChar=95\relax
+ \K@dXdY=\KK@\K@ \K@dYdX=\z@ \fixedDirection@}
+\xydef@\fixedDirection@#1{\dimen@ii=#1\relax
+ \d@X=\cosDirection\dimen@ii \d@Y=\sinDirection\dimen@ii
+ \resetupDirection@}
+\xydef@\setupDirection@ii{%
+ \ifdim\d@X<\z@ \def\sd@X{-}\else \def\sd@X{+}\fi
+ \ifdim\d@Y<\z@ \def\sd@Y{-}\else \def\sd@Y{+}\fi
+ \K@dXdY=\sd@X\d@X \ifdim\K@dXdY<500pt \multiply\K@dXdY\KK@ \fi
+ \dimen@=\sd@Y\d@Y
+ \advance\dimen@\ifdim\dimen@<\z@-\fi.5\KK@ \divide\dimen@\KK@
+ \ifdim\dimen@=\z@\else
+ \advance\K@dXdY by.5\dimen@\relax \divide\K@dXdY\dimen@
+ \fi \K@dXdY=\sd@X\sd@Y\K@dXdY
+ \K@dYdX=\sd@Y\d@Y \ifdim\K@dYdX<500pt \multiply\K@dYdX\KK@ \fi
+ \dimen@=\sd@X\d@X
+ \advance\dimen@\ifdim\dimen@<\z@-\fi.5\KK@ \divide\dimen@\KK@
+ \ifdim\dimen@=\z@\else
+ \advance\K@dYdX by.5\dimen@\relax \divide\K@dYdX\dimen@
+ \fi \K@dYdX=\sd@X\sd@Y\K@dYdX
+ \Direction=\maxdimen
+ \ifnum\K@dXdY<-\K@ \else \ifnum\K@<\K@dXdY \else
+ \ifdim \d@Y<\z@
+ \Direction=\K@ \advance\Direction-\K@dXdY
+ \else
+ \Direction=\K@ \multiply\Direction-\thr@@ \advance\Direction-\K@dXdY
+ \fi\fi\fi
+ \ifnum-\K@<\K@dYdX \ifnum\K@dYdX<\K@
+ \ifdim \d@X<\z@
+ \Direction=-\K@ \advance\Direction\K@dYdX
+ \else
+ \Direction=\K@ \multiply\Direction\thr@@ \advance\Direction\K@dYdX
+ \fi\fi\fi
+ \ifnum\Direction=\maxdimen
+ \Direction=\K@dYdX \advance\Direction-\K@dXdY 
+ \advance\Direction\ifnum\Direction<\z@-\fi\@ne \divide\Direction\tw@ 
+ \ifnum\K@dXdY<\z@ \advance\Direction\K@ \advance\Direction\K@
+ \else \advance\Direction-\K@ \advance\Direction-\K@ \fi
+ \fi
+ \imposeDirection@i
+ \resetupDirection@
+ }
+\xydef@\imposeDirection@{\count@@=\Direction 
+ \loop@\ifnum\count@@>4096 \advance\count@@-8192 \repeat@
+ \loop@\ifnum\count@@<-4096 \advance\count@@8192 \repeat@
+ \def\sd@X{+}\ifnum\count@@<\K@ \relax
+ \ifnum\count@@>-3072 \def\sd@X{-}\fi\fi
+ \def\sd@Y{+}\ifnum\count@@<3072 \relax
+ \ifnum\count@@>-\K@ \relax\def\sd@Y{-}\fi\fi
+ \imposeDirection@i
+ \d@X=\cosDirection\xydashl@ \d@Y=\sinDirection\xydashl@
+ \resetupDirection@}
+\xydef@\imposeDirection@i{%
+ \count@@=\K@ \multiply\count@@ by8 \advance\count@@\Direction
+ \count@=\count@@ \advance\count@\KK@ \divide\count@64 \advance\count@\m@ne
+ \loop@\ifnum127<\count@ \advance\count@-128 \repeat@
+ \chardef\DirectionChar\count@
+ \advance\count@@16 \divide\count@@\KK@ \advance\count@@\m@ne
+ \loop@\ifnum127<\count@@ \advance\count@@-128 \repeat@
+ \chardef\SemiDirectionChar\count@@
+ \setbox8=\hbox{\xydashfont\SemiDirectionChar\/}%
+ \quotient@@\cosDirection{\sd@X\wd8}\xydashl@
+ \setbox8=\hbox{\xydashfont\count@=\SemiDirectionChar\advance\count@-64
+ \ifnum\count@<\z@ \advance\count@128 \fi \char\count@\/}%
+ \quotient@@\sinDirection{\sd@Y\wd8}\xydashl@}
+\xydef@\getxyDirection@#1{\xy@@\bgroup\xy@@ix@{#1}%
+ \xy@@{\expandafter\POS\the\toks9\relax\setupDirection@
+ \edef\next@{\egroup \Direction=\the\Direction}\next@ \imposeDirection@ }}
+\xydef@\reverseDirection@{%
+ \d@X=-\d@X \d@Y=-\d@Y
+ \ifdim\d@X<\z@ \def\sd@X{-}\else \def\sd@X{+}\fi
+ \ifdim\d@Y<\z@ \def\sd@Y{-}\else \def\sd@Y{+}\fi
+ \dimen@=4\K@ \ifnum\Direction<\z@ \advance\Direction\dimen@
+ \else \advance\Direction-\dimen@ \fi
+ \count@=\DirectionChar \ifnum\count@<64 \advance\count@64
+ \else \advance\count@-64 \fi \chardef\DirectionChar=\count@
+ \edef\cosDirection{\if-\cosDirection\else-\cosDirection\fi}%
+ \edef\sinDirection{\if-\sinDirection\else-\sinDirection\fi}%
+ \resetupDirection@}
+\xydef@\aboveDirection@#1{%
+ \dimen@=\d@X \d@X=-\d@Y \d@Y=\dimen@
+ \dimen@=\K@dXdY \K@dXdY=-\K@dYdX \K@dYdX=-\dimen@
+ \ifdim\d@X<\z@ \def\sd@X{-}\else \def\sd@X{+}\fi
+ \ifdim\d@Y<\z@ \def\sd@Y{-}\else \def\sd@Y{+}\fi
+ \dimen@=2\K@ \ifdim 1\Direction<\dimen@\else \dimen@=-6\K@ \fi
+ \advance\Direction\dimen@
+ \count@=\DirectionChar \ifnum\count@<96 \advance\count@32
+ \else \advance\count@-96 \fi \chardef\DirectionChar=\count@
+ \count@=\SemiDirectionChar \ifnum\count@<64 \advance\count@64
+ \else \advance\count@-64 \fi \chardef\SemiDirectionChar=\count@
+ \let\tmp@=\cosDirection
+ \edef\cosDirection{\if-\sinDirection\else-\sinDirection\fi}%
+ \let\sinDirection=\tmp@
+ \dimen@=#1\relax \d@X=\cosDirection\dimen@ \d@Y=\sinDirection\dimen@
+ \resetupDirection@}
+\xydef@\belowDirection@#1{%
+ \dimen@=\d@X \d@X=\d@Y \d@Y=-\dimen@
+ \dimen@=\K@dXdY \K@dXdY=-\K@dYdX \K@dYdX=-\dimen@
+ \ifdim\d@X<\z@ \def\sd@X{-}\else \def\sd@X{+}\fi
+ \ifdim\d@Y<\z@ \def\sd@Y{-}\else \def\sd@Y{+}\fi
+ \dimen@=-2\K@\ifdim 1\Direction<\dimen@\dimen@=6\K@\fi
+ \advance\Direction\dimen@
+ \count@=\DirectionChar \ifnum\count@<32 \advance\count@96
+ \else \advance\count@-32 \fi \chardef\DirectionChar=\count@
+ \count@=\SemiDirectionChar \ifnum\count@<64 \advance\count@64
+ \else \advance\count@-64 \fi \chardef\SemiDirectionChar=\count@
+ \let\tmp@=\sinDirection
+ \edef\sinDirection{\if-\cosDirection\else-\cosDirection\fi}%
+ \let\cosDirection=\tmp@
+ \dimen@=#1\relax \d@X=\cosDirection\dimen@ \d@Y=\sinDirection\dimen@
+ \resetupDirection@}
+\xydef@\vDirection@(#1,#2)#3{\dimen@ii=#3\relax
+ \dimen@=#1\dimen@ii \dimen@ii=#2\dimen@ii
+ \d@X=\cosDirection\dimen@ \advance\d@X-\sinDirection\dimen@ii
+ \d@Y=\sinDirection\dimen@ \advance\d@Y \cosDirection\dimen@ii
+ \X@p=\X@c \advance\X@p-\d@X \Y@p=\Y@c \advance\Y@p-\d@Y
+ \setupDirection@\ignorespaces}
+\xydef@\resetDirection@{%
+ \d@X=\X@c\advance\d@X-\X@p \d@Y=\Y@c\advance\d@Y-\Y@p
+ \let\next@=\resetupDirection@
+ \ifdim\sd@X\d@X<\z@ \let\next@=\setupDirection@i \fi
+ \ifdim\sd@Y\d@Y<\z@ \let\next@=\setupDirection@i \fi
+ \next@}
+\xydef@\resetupDirection@{%
+ \edef\Directiontest@@##1##2{\noexpand\DN@{##2}%
+ \noexpand\ifdim\noexpand\d@X=\the\d@X\relax
+ \noexpand\ifdim\noexpand\d@Y=\the\d@Y\relax \noexpand\DN@{##1}%
+ \noexpand\fi\noexpand\fi \noexpand\next@}}
+\xydef@\unsetupDirection@{\def\Directiontest@@##1##2{##2}}
+\uDirection@\xydashl@
+\message{edges,}
+\xynew@{if}\ifInside@
+\xydef@\zeroEdge#1{%
+ \ifcase#1\relax \or \Inside@false \or \dimen@=\z@
+ \or \else \Edge@c={\rectangleEdge}\fi}
+\xydef@\circleEdge#1{\ifcase#1\expandafter\circleEdge@
+ \or \expandafter\circleUnder@ \or \dimen@=\R@c
+ \or \expandafter\circleProp@ \or \expandafter\circleInner@
+ \else \expandafter\circleOuter@ \fi}
+\xydef@\circleEdge@{\DN@{\ellipseEdge@}%
+ \ifdim\R@c=\L@c\relax \ifdim\U@c=\D@c\relax
+ \ifdim\R@c=\U@c\DN@{\circlecentredEdge@}%
+ \else\DN@{\ellipsecentredEdge@}\fi
+ \fi\fi \next@}
+\xydef@\circleProp@{\DN@{\reverseDirection@\ellipseEdge@}%
+ \ifdim\R@c=\L@c\relax \ifdim\U@c=\D@c\relax
+ \ifdim\R@c=\U@c\DN@{\reverseDirection@\circlecentredEdge@}%
+ \else\DN@{\reverseDirection@\ellipsecentredEdge@}\fi
+ \fi\fi \next@}
+\xydef@\circleUnder@{\Inside@false
+ \ifdim\X@p=\X@c \relax \ifdim\Y@p=\Y@c \Inside@true \fi \fi 
+ \ifInside@ \else \expandafter \circleCentre@ \fi}
+\xydef@\circleCentre@{{%
+ \ifdim\L@c=\R@c \relax\else
+ \dimen@=\R@c\advance\dimen@-\L@c \divide\dimen@\tw@
+ \advance\X@c\dimen@ \advance\R@c-\dimen@ \fi
+ \d@X=\X@c \advance\d@X-\X@p \d@X=\ifdim\d@X<\z@-\fi\d@X
+ \ifdim\U@c=\D@c\relax \else
+ \dimen@=\U@c\advance\dimen@-\D@c \divide\dimen@\tw@
+ \advance\Y@c\dimen@ \advance\U@c-\dimen@ \fi
+ \d@Y=\Y@c \advance\d@Y-\Y@p \d@Y=\ifdim\d@Y<\z@-\fi\d@Y
+ \DN@{}\ifdim\d@X>\R@c \relax \else \ifdim\d@Y>\U@c \relax 
+ \else \ifdim\U@c=\R@c \DN@{\circlecentredUnder@}%
+ \else \DN@{\ellipsecentredUnder@}\fi
+ \fi\fi \next@}}
+\xydef@\circleInner@{\DN@{\ellipseInner@}%
+ \ifdim\R@c=\L@c\relax \ifdim\U@c=\D@c\relax
+ \ifdim\R@c=\U@c\DN@{\circlecentredInner@}%
+ \else\DN@{\ellipsecentredInner@}\fi
+ \fi\fi \next@}
+\xydef@\circleOuter@{\DN@{\ellipseOuter@}%
+ \ifdim\R@c=\L@c\relax \ifdim\U@c=\D@c\relax
+ \ifdim\R@c=\U@c\DN@{\circlecentredOuter@}%
+ \else\DN@{\ellipsecentredOuter@}\fi
+ \fi\fi \next@}
+\xydef@\circlecentredEdge@{%
+ \dimen@=-\cosDirection\R@c \advance\X@c\dimen@
+ \dimen@=-\sinDirection\R@c \advance\Y@c\dimen@}
+\xydef@\circlecentredUnder@{%
+ \loop\ifdim\R@c>100\p@ \circlescale@ \repeat
+ \edef\tmp@{\expandafter\removePT@\the\R@c}\dimen@=\tmp@\R@c 
+ \edef\tmp@{\expandafter\removePT@\the\d@X}\advance\dimen@-\tmp@\d@X
+ \edef\tmp@{\expandafter\removePT@\the\d@Y}\advance\dimen@-\tmp@\d@Y
+ \ifdim\dimen@>\z@ \aftergroup\Inside@true \fi}
+%%\xydef@\circlescale@{\divide\R@c\KK@ \divide\d@X\KK@ \divide\d@Y\KK@ }
+\xydef@\circlescale@{\divide\R@c\KK@ \divide\d@X\KK@ \divide\d@Y\KK@ }
+\xydef@\circlecentredInner@{%
+ \L@c=\sd@X\cosDirection\R@c \D@c=\sd@Y\sinDirection\R@c
+ \R@c=\L@c \U@c=\D@c \Edge@c={\rectangleEdge}}
+\xydef@\circlecentredOuter@{%
+ \L@c=\R@c \D@c=\R@c \U@c=\D@c \Edge@c={\rectangleEdge}}
+\xydef@\ellipsecentredEdge@{\bgroup \X@p=\X@c \Y@p=\Y@c 
+ \ifdim\U@c>\R@c
+ \X@c=\cosDirection\U@c \Y@c=\sinDirection\U@c
+ \quotient@\tmp@\U@c\R@c \X@c=\tmp@\X@c \R@c=\U@c 
+ \else
+ \X@c=\cosDirection\R@c \Y@c=\sinDirection\R@c
+ \quotient@\tmp@\R@c\U@c \Y@c=\tmp@\Y@c 
+ \fi
+ \advance\X@c\X@p \advance\Y@c\Y@p 
+ \setupDirection@ \X@c=\X@p \Y@c=\Y@p \circlecentredEdge@
+ \d@X=\X@c \advance\d@X-\X@p \d@Y=\Y@c \advance\d@Y-\Y@p 
+ \ifdim\U@c>\L@c \quotient@\tmp@\L@c\U@c \d@X=\tmp@\d@X
+ \else \quotient@\tmp@\U@c\R@c \d@Y =\tmp@\d@Y \fi
+ \X@c=\X@p \advance\X@c\d@X \Y@c=\Y@p \advance\Y@c\d@Y 
+ \edef\next@{\egroup \X@c=\the\X@c \Y@c=\the\Y@c}\next@ }%
+\xydef@\ellipsecentredUnder@{%
+ \ifdim\R@c>64\p@ \circlescale@ \divide\U@c\KK@ 
+ \else \ifdim\U@c>64\p@ \circlescale@ \divide\U@c\KK@ \fi\fi
+ \edef\tmp@{\expandafter\removePT@\the\R@c}\d@Y=\tmp@\d@Y 
+ \edef\tmp@{\expandafter\removePT@\the\U@c}\d@X=\tmp@\d@X 
+ \R@c=\tmp@\R@c \circlecentredUnder@ }
+\xydef@\ellipsecentredOuter@{\Edge@c={\rectangleEdge}}
+\xydef@\ellipsecentredInner@{%
+ \bgroup \X@p=\X@c \Y@p=\Y@c \ellipsecentredEdge@
+ \advance\X@c-\X@p \L@c=\ifdim\X@c<\z@-\fi\X@c
+ \advance\Y@c-\Y@p \D@c=\ifdim\Y@c<\z@-\fi\Y@c
+ \edef\next@{\egroup \L@c=\the\L@c \D@c=\the\D@c}\next@
+ \R@c=\L@c \U@c=\D@c \Edge@c={\rectangleEdge}}
+\xydef@\ellipseEdge@{\bgroup
+ \A@=\R@c \B@=\U@c
+ \ifdim\R@c=\L@c \d@X=\z@ 
+ \else \d@X=.5\R@c \advance\d@X-.5\L@c 
+ \advance\A@\L@c \divide\A@\tw@ \fi
+ \ifdim\U@c=\D@c \d@Y=\z@ 
+ \else \d@Y=.5\U@c \advance\d@Y-.5\D@c 
+ \advance\B@\D@c \divide\B@\tw@ \fi
+ \bgroup
+ \L@c=\A@ \U@c=\B@
+ \R@p=\U@c \advance\R@p\L@c \multiply\R@p\tw@
+ \ifdim\B@<\A@ \quotient@\tmp@\U@c\L@c \R@c=\tmp@\p@ \D@c=\p@
+ \quotient@\tmp@\R@p\L@c \R@p=\tmp@\p@
+ \else
+ \ifdim\A@<\B@ \quotient@\tmp@\L@c\U@c \D@c=\tmp@\p@ \R@c=\p@
+ \quotient@\tmp@\R@p\U@c \R@p=\tmp@\p@
+ \else
+ \R@c=\p@ \D@c=\p@ \quotient@\tmp@\R@p\U@c \R@p=\tmp@\p@
+ \fi\fi
+ \quotient@\sd@X\d@X\L@c \d@X=\sd@X\p@
+ \quotient@\sd@Y\d@Y\U@c \d@Y=\sd@Y\p@
+ \loop
+ \bgroup \U@p=-\p@ \D@p=\z@
+ \ifdim\R@c<\p@
+ \edef\tmp@{\expandafter\removePT@\the\R@c}\dimen@=\tmp@\R@p 
+ \advance\d@X\cosDirection\dimen@
+ \else \advance\d@X\cosDirection\R@p \fi
+ \edef\sd@X{\expandafter\removePT@\the\d@X}%
+ \advance\U@p\sd@X\d@X
+ \ifdim\R@c<\p@
+ \edef\tmp@{\expandafter\removePT@\the\R@c}\dimen@=\tmp@\d@X 
+ \advance\D@p\cosDirection\dimen@
+ \else \advance\D@p\cosDirection\d@X \fi
+ \ifdim\D@c<\p@
+ \edef\tmp@{\expandafter\removePT@\the\D@c}\dimen@=\tmp@\R@p 
+ \advance\d@Y\sinDirection\dimen@
+ \else \advance\d@Y\sinDirection\R@p \fi
+ \edef\sd@Y{\expandafter\removePT@\the\d@Y}%
+ \advance\U@p\sd@Y\d@Y
+ \ifdim\D@c<\p@
+ \edef\tmp@{\expandafter\removePT@\the\D@c}\dimen@=\tmp@\d@Y 
+ \advance\D@p\sinDirection\dimen@
+ \else \advance\D@p\sinDirection\d@Y \fi
+ \multiply\D@p\tw@ 
+ \dimen@=\ifdim\U@p<\z@-\fi\U@p 
+ \ifdim\dimen@<.01\p@ \U@p=\z@ 
+ \else
+ \quotient@\tmp@\U@p\D@p \U@p=\tmp@\p@
+ \ifdim\U@p<\z@\xywarning@{poor convergence}\U@p=\z@
+ \else \advance\R@p-\U@p \U@p=\ifdim\U@p<\z@-\fi\U@p 
+ \fi \fi
+ \edef\next@{\egroup \R@p=\the\R@p \U@p=\the\U@p \D@p=\the\D@p}\next@
+ \ifdim\U@p>\z@ \repeat
+ \edef\next@{\egroup \dimen@=\the\R@p}\next@
+ \edef\tmp@{\expandafter\removePT@\the\dimen@}%
+ \ifdim\B@<\A@ \dimen@=\tmp@\B@ \else \dimen@=\tmp@\A@ \fi
+ \dimen@=-\dimen@
+ \advance\X@c\cosDirection\dimen@
+ \advance\Y@c\sinDirection\dimen@
+ \edef\next@{\egroup \X@c=\the\X@c \Y@c=\the\Y@c}\next@ }%
+\xydef@\ellipseOuter@{\Edge@c={\rectangleEdge}}
+\xydef@\ellipseInner@{%
+ \bgroup \X@p=\X@c \Y@p=\Y@c \ellipseEdge@
+ \d@X=\X@c\advance\d@X-\X@p
+ \ifdim\d@X>\z@ \R@p=\d@X \L@p=\R@p
+ \ifdim\L@c=\R@c\else\advance\L@p\L@c \advance\L@p-\R@c \fi
+ \else \L@p=-\d@X \R@p=\L@p
+ \ifdim\L@c=\R@c \else\advance\R@p\R@c \advance\R@p-\L@c \fi
+ \fi
+ \d@Y=\Y@c\advance\d@Y-\Y@p
+ \ifdim\d@Y>\z@ \U@p=\d@Y \D@p=\U@p
+ \ifdim\D@c=\U@c\else\advance\D@p\D@c \advance\D@p-\U@c \fi
+ \else \D@p=-\d@Y \U@p=\D@p
+ \ifdim\D@c=\U@c\else\advance\U@p\U@c \advance\U@p-\D@c \fi
+ \fi
+ \edef\next@{\egroup
+ \L@c=\the\L@p \D@c=\the\D@p \R@c=\the\R@p \U@c=\the\U@p}%
+ \next@ \Edge@c={\rectangleEdge}}
+\xydef@\rectangleEdge#1{\ifcase#1\expandafter\rectangleEdge@
+ \or \expandafter\rectangleUnder@ \or \expandafter\rectangleDist@
+ \or \expandafter\rectangleProp@
+ \else \relax \fi}
+\xydef@\rectangleEdge@{%
+ \ifdim\d@Y<-.05\p@ \rectangleEdge@i
+ \else\ifdim\d@Y<.05\p@ \rectangleEdge@ii
+ \else \rectangleEdge@iii\fi\fi
+ \resetupDirection@}
+\xydef@\rectangleEdge@i{%
+ \ifdim\d@X<-.05\p@
+ \settomin@\X@c+\R@c\U@c\d@X\d@Y \settomin@\Y@c+\U@c\R@c\d@Y\d@X%1a
+ \else\ifdim\d@X<.05\p@ \advance\Y@c\U@c
+ \else \settomin@\X@c-\L@c\U@c\d@X\d@Y \settomin@\Y@c+\U@c\L@c\d@Y\d@X
+ \fi\fi}
+\xydef@\rectangleEdge@ii{%
+ \ifdim\d@X<-.05\p@ \advance\X@c\R@c
+ \else\ifdim\d@X<.05\p@
+ \else \advance\X@c-\L@c
+ \fi\fi}
+\xydef@\rectangleEdge@iii{%
+ \ifdim\d@X<-.05\p@
+ \settomin@\X@c+\R@c\D@c\d@X\d@Y \settomin@\Y@c-\D@c\R@c\d@Y\d@X%3a
+ \else\ifdim\d@X<.05\p@ \advance\Y@c-\D@c
+ \else \settomin@\X@c-\L@c\D@c\d@X\d@Y \settomin@\Y@c-\D@c\L@c\d@Y\d@X
+ \fi\fi}
+\xydef@\settomin@#1#2#3#4#5#6{%
+ \edef\nextii@{\A@=\the\A@ \B@=\the\B@}\quotient@\next@{#5}{#6}\nextii@
+ \dimen@=\sd@X\sd@Y\next@#4\relax
+ \ifdim#3<\dimen@ \dimen@=#3\fi \advance#1#2\dimen@}
+\xydef@\rectangleUnder@{\Inside@false
+ \ifdim\X@p=\X@c \ifdim\Y@p=\Y@c \Inside@true \fi\fi 
+ \ifInside@ \else
+ \dimen@=\X@p \advance\dimen@-\X@c 
+ \ifdim \dimen@>-\L@c \relax \ifdim\dimen@<\R@c 
+ \dimen@=\Y@p \advance\dimen@-\Y@c 
+ \ifdim \dimen@>-\D@c \relax \ifdim\dimen@<\U@c 
+ \Inside@true 
+ \fi\fi\fi\fi\fi }
+\xydef@\rectangleDist@{\let\next@=\rectangleDist@i
+ \ifdim\d@X<-.05\p@ \dimen@=\R@c
+ \else\ifdim\d@X<.05\p@ \dimen@=\z@ \DN@{\dimen@=\dimen@ii}%
+ \else \dimen@=\L@c \fi\fi
+ \ifdim\d@Y<-.05\p@ \dimen@ii=\U@c
+ \else\ifdim\d@Y<.05\p@ \DN@{}%
+ \else \dimen@ii=\D@c \fi\fi
+ \next@}
+\xydef@\rectangleDist@i{%
+ \begingroup \quotient@\next\p@{\sd@X\cosDirection\p@}%
+ \edef\next{\endgroup \dimen@=\next\dimen@}\next
+ \begingroup \quotient@\next\p@{\sd@Y\sinDirection\p@}%
+ \edef\next{\endgroup \dimen@ii=\the\dimen@ii}\next
+ \ifdim\dimen@ii<\dimen@ \dimen@=\dimen@ii \fi}
+\xydef@\rectangleProp@{%
+ \enter@{\A@=\the\A@ \B@=\the\B@ \DirectionfromtheDirection@}%
+ \reverseDirection@
+ \dimen@=1\Direction \count@=\K@ \multiply\count@\tw@
+ \ifnum \Direction>\count@
+ \DN@{0}%
+ \advance\dimen@-2\K@ \quotient@\nextii@{\dimen@}{2\K@}%
+ \else\ifnum \Direction>\z@
+ \dimen@=-\dimen@ \advance\dimen@2\K@ \quotient@\next@{\dimen@}{2\K@}%
+ \DNii@{0}%
+ \else\ifnum \Direction>-\count@
+ \DN@{1}%
+ \quotient@\nextii@{-\dimen@}{2\K@}%
+ \else
+ \advance\dimen@4\K@ \quotient@\next@{\dimen@}{2\K@}%
+ \DNii@{1}%
+ \fi\fi\fi
+ \advance\X@c-\L@c \dimen@=\L@c \advance\dimen@\R@c 
+ \ifdim\dimen@=\z@ \advance\X@c 2\L@c \else \advance\X@c\next@\dimen@ \fi
+ \advance\Y@c+\U@c \dimen@=\D@c \advance\dimen@\U@c 
+ \ifdim\dimen@=\z@ \advance\Y@c-2\U@c \advance\Y@c\Upness@\U@c
+ \else \advance\Y@c-\nextii@\dimen@ \fi
+ \leave@}
+\message{connections;}
+\xydef@\Creset@@{}
+\xydef@\Cshavep@@{\noCshavep@@}
+\xydef@\Cshavec@@{\noCshavec@@}
+\xydef@\Cslidep@@{\noCslidep@@}
+\xydef@\Cslidec@@{\noCslidec@@}
+\xydef@\Calong@@{\noCalong@@}
+\xydef@\Cintercept@@{\noCintercept@@}
+\xydef@\Cbreak@@{\noCbreak@@}
+\xydef@\Clast@@{\noClast@@}
+\xylet@\lastbreak@@=\empty
+\xydef@\noCshavep@@{\setupDirection@
+ \enter@{\cfromthec@ \DirectionfromtheDirection@}%
+ \reverseDirection@ \cfromp@ \the\Edge@c\z@
+ \pfromc@ \leave@ \resetDirection@}
+\xydef@\noCshavec@@{\setupDirection@ \the\Edge@c\z@ \resetDirection@}
+\xydef@\noCslidep@@#1{\dimen@=#1\relax
+ \advance\X@p\cosDirection\dimen@ \advance\Y@p\sinDirection\dimen@
+ \resetDirection@}
+\xydef@\noCslidec@@#1{\dimen@=#1\relax
+ \advance\X@c\cosDirection\dimen@ \advance\Y@c\sinDirection\dimen@
+ \resetDirection@}
+\xydef@\noCalong@@#1{%
+ \d@X=#1\d@X \d@Y=#1\d@Y \X@c=\X@p \Y@c=\Y@p \advance\X@c\d@X \advance\Y@c\d@Y
+ \resetupDirection@}
+\xydef@\noCintercept@@{\enter@{\pfromthep@}%
+ \begingroup\Creset@@ \edef\tmp@{\endgroup
+ \X@origin=\the\X@p \Y@origin=\the\Y@p \R@c=\the\d@X \U@c=\the\d@Y}\tmp@
+ \loop@\dimen@=\ifdim\R@c<\z@-\fi\R@c \advance\dimen@\ifdim\U@c<\z@-\fi\U@c
+ \ifdim\dimen@>10\p@ \advance\R@c \ifdim\R@c<\z@-\fi 16sp \divide\R@c\KK@ 
+ \advance\U@c \ifdim\U@c<\z@-\fi 16sp \divide\U@c\KK@ \repeat@
+ \intersect@ \leave@}
+\xydef@\noCbreak@@{\edef\lastbreak@@{\cfromthec@}}
+\xydef@\noClast@@{\Creset@@ \edef\lastbreak@@{\cfromthep@}}
+\xydef@\no@@{\setupDirection@ \edef\lastbreak@@{\cfromthep@}%
+ \enter@{\cfromthec@\pfromthep@\DirectionfromtheDirection@}%
+ \edef\Creset@@{\cfromthec@ \pfromthep@ \DirectionfromtheDirection@}%
+ \edef\next@{{\sd@X}{\sd@Y}}\expandafter\straightcheckoverlap@\next@
+ \setupDirection@ \the\Edge@c\z@
+ \swap@\reverseDirection@\the\Edge@c\z@\swap@\reverseDirection@
+ \resetDirection@
+ \edef\Cshavep@@{\DirectionfromtheDirection@
+ \pfromthep@\noexpand\resetDirection@}%
+ \edef\Cshavec@@{\DirectionfromtheDirection@
+ \cfromthec@\noexpand\resetDirection@}%
+ \leave@
+ \def\Cslidep@@{\noCslidep@@}\def\Cslidec@@{\noCslidec@@}%
+ \def\Calong@@{\noCalong@@}\def\Cintercept@@{\noCintercept@@}%
+ \def\Cbreak@@{\noCbreak@@}\def\Clast@@{\noClast@@}\noinsert@}
+\xydef@\noinsert@{\ifHidden@\else
+ \ifdim\Y@c>\Y@max \Y@max=\Y@c \fi \ifdim\Y@p>\Y@max \Y@max=\Y@p \fi
+ \ifdim\Y@c<\Y@min \Y@min=\Y@c \fi \ifdim\Y@p<\Y@min \Y@min=\Y@p \fi
+ \ifdim\X@c>\X@max \X@max=\X@c \fi \ifdim\X@p>\X@max \X@max=\X@p \fi
+ \ifdim\X@c<\X@min \X@min=\X@c \fi \ifdim\X@p<\X@min \X@min=\X@p \fi
+ \fi}
+\xydef@\Spread@@{}
+\xydef@\checkoverlap@@{}
+\xydef@\straight@#1{\setupDirection@ \def\Spread@@{#1}%
+ \edef\Creset@@{\cfromthec@ \pfromthep@ \DirectionfromtheDirection@}%
+ \edef\lastbreak@@{\cfromthep@}%
+ \edef\next@{{\sd@X}{\sd@Y}}\expandafter\straightcheckoverlap@\next@
+ \setupDirection@ \the\Edge@c\z@
+ \swap@\reverseDirection@\the\Edge@c\z@\swap@\reverseDirection@
+ \resetDirection@
+ \edef\Cshavep@@{\DirectionfromtheDirection@
+ \pfromthep@\noexpand\resetDirection@}%
+ \edef\Cshavec@@{\DirectionfromtheDirection@
+ \cfromthec@\noexpand\resetDirection@}%
+ \noinsert@
+ \straight@typeset
+ \def\Cbreak@@{\straightCbreak@}\def\Clast@@{\straightClast@}%
+ \def\Cslidep@@{\noCslidep@@}\def\Cslidec@@{\noCslidec@@}%
+ \def\Calong@@{\noCalong@@}\def\Cintercept@@{\noCintercept@@}%
+ \Creset@@}
+\xydef@\straightcheckoverlap@#1#2{\def\checkoverlap@@{%
+ \ifdim#1\X@p>#1\X@c \let\next@=\relax \fi
+ \ifdim#2\Y@p>#2\Y@c \let\next@=\relax \fi}}
+\xydef@\straight@typeset{%
+ \ifInvisible@ \let\next@=\relax
+ \else\ifdim 1\Direction<-2\K@ \DN@{\straightv@}%
+ \else\ifdim 1\Direction<\z@ \DN@{\straighth@}%
+ \else\ifdim 1\Direction<2\K@ \DN@{\straightv@}%
+ \else \DN@{\straighth@}%
+ \fi\fi\fi\fi \checkoverlap@@ \next@}
+\xylet@\nextbreak@@=\empty
+\xydef@\straightCbreak@{\connectRestore@
+ \edef\nextbreak@@{\cfromthec@}%
+ \Creset@@ \swap@ \the\Edge@c4\enter@{\cmergethec@}\lastbreak@@ \leave@
+ \swap@ \the\Edge@c4\enter@{\cmergethec@}\nextbreak@@ \leave@
+ \setupDirection@
+ \the\Edge@c\z@
+ \swap@ \reverseDirection@ \the\Edge@c\z@ \swap@ \reverseDirection@
+ \resetDirection@ \noinsert@ \straight@typeset
+ \Creset@@ \let\lastbreak@@=\nextbreak@@}
+\xydef@\straightClast@{\connectRestore@
+ \Creset@@ \swap@ \the\Edge@c4\enter@{\cmergethec@}\lastbreak@@ \leave@
+ \swap@
+ \setupDirection@
+ \the\Edge@c\z@
+ \swap@\reverseDirection@ \the\Edge@c\z@ \swap@\reverseDirection@
+ \resetDirection@ \noinsert@ \straight@typeset
+ \Creset@@ \edef\lastbreak@@{\cfromthep@}}
+\xydef@\straighth@{\setbox\z@=\hbox{%
+ \setbox8=\copy\lastobjectbox@
+ \A@=\wd8\relax \B@=\dp8\relax \advance\B@\ht8\relax
+ \ifdim \A@=\z@ \count@@=\m@ne
+ \else \dimen@=\sd@X\d@X \divide\dimen@\A@ \count@@=\dimen@ \fi
+ \Spread@@
+ \ifdim\d@X>\z@ \advance\X@c-\wd8\relax\fi
+ \dimen@=-\sd@X\wd8\relax
+ \multiply\dimen@\K@dYdX \divide\dimen@\K@
+ \ifdim\d@X>\z@ \advance\Y@c\dimen@ \advance\Y@c-\Leftness@\dimen@
+ \else \advance\Y@c\Leftness@\dimen@ \fi
+ \dimen@=\wd8\relax \A@=\sd@X\d@X \advance\A@-\dimen@
+ \B@=\sd@X\dimen@ \multiply\B@\K@dYdX \divide\B@\K@
+ \advance\B@-\d@Y \B@=\sd@Y\B@
+ \count@=\count@@ \advance\count@\m@ne
+ \ifnum\z@<\count@ \divide\A@\count@ \divide\B@\count@ \fi
+ \A@=-\sd@X\A@ \B@=\sd@Y\B@ \wd8=\A@
+ \kern\X@c \count@=\z@
+ \loop@\ifnum\count@<\count@@ \advance\count@\@ne
+ \raise\Y@c\copy8\relax \advance\Y@c\B@ \repeat@}%
+ \ht\z@=\z@ \wd\z@=\z@ \dp\z@=\z@ {\Drop@@}}
+\xydef@\straightv@{\setbox\z@=\vtop{%
+ \setbox8=\copy\lastobjectbox@
+ \A@=\wd8\relax \B@=\dp8\relax \advance\B@\ht8\relax
+ \ifdim \B@=\z@ \count@@=\m@ne
+ \else \dimen@=\sd@Y\d@Y \divide\dimen@\B@ \count@@=\dimen@ \fi
+ \Spread@@
+ \dimen@=\dp8\relax \advance\dimen@\ht8\relax
+ \B@=\sd@Y\d@Y \advance\B@-\dimen@
+ \A@=\sd@Y\dimen@ \multiply\A@\K@dXdY \divide\A@\K@ \advance\A@-\d@X
+ \A@=\sd@X\A@ \count@=\count@@ \advance\count@\m@ne
+ \ifnum\z@<\count@ \divide\B@\count@ \divide\A@\count@ \fi
+ \B@=\sd@Y\B@ \A@=\sd@X\A@ \ht8=\B@ \dp8=\z@
+ \ifdim\d@Y<\z@ 
+ \advance\Y@c\dimen@ \advance\Y@c\Upness@\B@
+ \else
+ \advance\dimen@\Upness@\B@ \advance\Y@c-\dimen@ \advance\Y@c\B@
+ \fi
+ \advance\Y@c\B@ 
+ \ifdim\d@X<\z@ \else \advance\X@c-\wd8\relax \fi
+ \null \kern-\Y@c \count@=\z@
+ \loop@\ifnum\count@<\count@@ \advance\count@\@ne
+ \nointerlineskip \moveright\X@c\copy8\relax \advance\X@c\A@
+ \repeat@}%
+ \ht\z@=\z@ \wd\z@=\z@ \dp\z@=\z@ {\Drop@@}}
+\message{ Xy-pic loaded}\xyuncatcodes \endinput
-- 
cgit v1.2.3

