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authorNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
committerNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
commite0c6872cf40896c7be36b11dcc744620f10adf1d (patch)
tree60335e10d2f4354b0674ec22d7b53f0f8abee672 /macros/generic/diagrams/xypic/texinputs/xyframe.tex
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+%% xyframe.tex from $Id: xyframe.doc,v 3.14 2012/05/24 00:30:38 krisrose Exp $
+%%
+%% Xy-pic ``Frames and Brackets'' extension.
+%% Copyright (c) 1991-1997 Kristoffer H. Rose <krisrose@tug.org>
+%%
+%% This file is part of the Xy-pic package for graphs and diagrams in TeX.
+%% See the companion README and INSTALL files for further information.
+%% Copyright (c) 1991-2011 Kristoffer H. Rose <krisrose@tug.org>
+%%
+%% 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, see http://www.gnu.org/licenses/.
+%%
+\ifx\xyloaded\undefined \input xy \fi
+\xyprovide{frame}{Frame and Bracket extension}{\stripRCS$Revision: 3.14 $}%
+ {Kristoffer H.~Rose}{krisrose@tug.org}%
+ {IBM T.~ J.\ Watson Research Center, P.O.~Box 704, Yorktown Heights, NY 10598 (USA)}
+\xydef@\frm{\hbox{}\dimen@=\L@c \advance\dimen@\R@c \wdz@=\dimen@
+ \ht\z@=\U@c \dp\z@=\D@c \dimen@=\U@c \advance\dimen@\D@c
+ \ifdim\wdz@=\z@ \def\Leftness@{.5}\else \quotient@\Leftness@\L@c\wdz@ \fi
+ \ifdim\dimen@=\z@ \def\Upness@{.5}\else \quotient@\Upness@\U@c\dimen@ \fi
+ \expandafter\Edge@c\expandafter{\prevEdge@@}\let\frmradius@@=\z@
+ \def\Drop@@{}%
+ \def\Connect@@{\xy@@{\save@\cmerge@\Y@p\X@p\D@p\U@p\L@p\R@p\Drop@@}\restore}%
+ \xyFN@\frm@i}
+\xylet@\frmradius@@=\z@
+\xydef@\frm@i{%
+ \addLT@\ifx\next \addGT@{\addLT@\DN@##1}{\def\frmradius@@{##1}\xyFN@\frm@i}%
+ \else \DN@##1##{\frm@{##1}}\fi \next@}
+\xydef@\frm@#1#2{\DNii@{frm#1{#2}}%
+ \expandafter\let\expandafter\next@\csname\codeof\nextii@\endcsname
+ \ifx\next@\relax \DNii@{frm{#2}}%
+ \expandafter\let\expandafter\next@\csname\codeof\nextii@\endcsname
+ \ifx\next@\relax \let\next@=\frm@generic \fi\fi \next@}
+\xydef@\frm@generic{\xyerror@{No generic frames yet!}{}}
+\xydef@\frmDrop@#1{%
+ \ifx\frmradius@@\z@ \addtoDrop@@{\let\frmradius@@=\z@ #1}%
+ \else \expandafter\addtoDrop@@\expandafter{%
+ \expandafter\def\expandafter\frmradius@@\expandafter{\frmradius@@}#1}\fi}
+\xydef@\EdgefromtheEdge@{%
+ \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@\prevEdgefromtheEdge@{%
+ \U@c=\the\U@c \D@c=\the\D@c \L@c=\the\L@c \R@c=\the\R@c
+ \noexpand\def\noexpand\prevEdge@@{\expandafter\noexpand\the\Edge@c}}
+\xydef@\addtoDrop@@#1{%
+ \expandafter\def\expandafter\Drop@@\expandafter{\Drop@@#1}}
+\xydef@\addbeforeDrop@@#1{\DNii@{#1}%
+ \expandafter\DN@\expandafter{\expandafter\nextii@\Drop@@}%
+ \expandafter\expandafter\expandafter\def
+ \expandafter\expandafter\expandafter\Drop@@
+ \expandafter\expandafter\expandafter{\next@}}
+\xydefcsname@{frm{}}{}
+\xyletcsnamecsname@{frm[]{}}{frm{}}
+\xyletcsnamecsname@{frm[o]{}}{frm{}}
+\xydefcsname@{frm{.}}{\frmDrop@{\let\zerocorner=\framezerodot@@
+ \let\framehfill=\frm@doth@@ \let\framevfill=\frm@dotv@@
+ \framed@@{\frmradius@@}}}
+\xyletcsnamecsname@{frm[]{.}}{frm{.}}
+\xydef@\frm@doth@@{\setboxz@h{\kern5\B@\framezerodot@@\kern5\B@}\ht\z@=\B@
+ \dp\z@=\B@\kern5\B@\xleaders\boxz@\hss\kern5\B@}
+\xydef@\frm@dotv@@{\setboxz@h to2\B@{\hss\framezerodot@@\hss}\ht\z@=5\B@
+ \dp\z@=5\B@\kern5\B@\xleaders\boxz@\vss\kern5\B@}
+\xyletcsnamecsname@{frm{..}}{frm{.}}
+\xylet@\framezerodot@@=\zerodot
+\xydefcsname@{frm{-}}{\frmDrop@{\framed@\frmradius@@}}
+\xyletcsnamecsname@{frm[]{-}}{frm{-}}
+\xydef@\framed@{\let\zerocorner=\framezerodot@@
+ \let\framehfill=\frm@solidh@@ \let\framevfill=\frm@solidv@@ \framed@@}
+\xylet@\framesetthick@=\relax
+\xydef@\frm@solidh@@{\framesetthick@\leaders\hrule height\B@ depth\B@\hfill}
+\xydef@\frm@solidv@@{\framesetthick@\leaders\vrule width2\B@\vfill}
+\xydefcsname@{frm{=}}{\frmDrop@{\framed@\frmradius@@
+ {\advance\L@c-2\p@ \advance\R@c-2\p@ \advance\U@c-2\p@ \advance\D@c-2\p@
+ \dimen@=\frmradius@@
+ \ifdim\dimen@>2\p@ \advance\dimen@-2\p@ \else \dimen@=\z@\fi
+ \framed@\dimen@}}}
+\xyletcsnamecsname@{frm[]{=}}{frm{=}}
+\xydef@\framesetthick@line{\B@=.5\xylinethick@}
+\xydef@\frm@thickc@@{\hbox{\framesetthick@line
+ \vrule height.5\B@ depth.5\B@ width\B@}}
+\xywithoption{line}{%
+ \let\framezerodot@@\frm@thickc@@ \let\framesetthick@=\framesetthick@line}
+\xydef@\framed@@#1{\setboxz@h{\R@=#1\relax
+ \dimen@=\L@c \advance\dimen@\R@c \dimen@ii=\U@c \advance\dimen@ii\D@c
+ \ifdim.5\dimen@<\R@ \R@=.5\dimen@ \fi
+ \ifdim.5\dimen@ii<\R@ \R@=.5\dimen@ii \fi
+ \A@=\X@c \advance\A@-\L@c \B@=\Y@c \advance\B@-\D@c
+ \ifdim\R@<\p@\else \cirrestrict@@ \fi
+ \dimen@=2\R@ \advance\dimen@-\L@c \advance\dimen@-\R@c
+ \ifdim\dimen@>\z@ \advance\A@-.5\dimen@ \fi
+ \dimen@=2\R@ \advance\dimen@-\U@c \advance\dimen@-\D@c
+ \ifdim\dimen@>\z@ \advance\B@-.5\dimen@ \fi
+ \kern\A@ \raise\B@\vbox to \dimen@ii{\framed@body@@}}%
+ \ht\z@=\z@ \dp\z@=\z@ \wd\z@=\z@ \boxz@}
+\xydef@\framed@body@{%
+ \advance\dimen@ii.22\p@ \advance\dimen@-.2\p@
+ \setboxz@h{\corn@@4\R@}\A@=-.5\wdz@ \B@=.5\xydashw@
+ \dimen@=\L@c \advance\dimen@\R@c \advance\dimen@-.2\p@
+ \setboxz@h to\dimen@{\kern\A@ \boxz@ \framehfill\corn@@3\R@\kern\A@}%
+ \advance\dimen@ii-\dp\z@ \kern-\ht\z@ \nointerlineskip\boxz@
+ \dimen@=\L@c \advance\dimen@\R@c \advance\dimen@-.2\p@
+ \setboxz@h to\dimen@{\kern\A@\corn@@1\R@\framehfill\corn@@2\R@\kern\A@}%
+ \advance\dimen@ii-\ht\z@
+ \dimen@=\L@c \advance\dimen@\R@c \advance\dimen@.2\p@
+ \nointerlineskip\hbox to\dimen@{%
+ \setbox\z@=\vbox to\dimen@ii{\framevfill}\kern-.5\wdz@\copy\z@
+ \hss \copy\z@\kern-.5\wdz@ }%
+ \nointerlineskip\boxz@ \vss \kern\z@}
+\xylet@\framed@body@@=\framed@body@
+\xylet@\zerocorner=\framezerodot@@
+\xydef@\solidcorner@#1#2{\hbox\bgroup \R@=#2\relax
+ \ifdim\R@<\p@ \zerocorner
+ \else \cirrestrict@@ \multiply\count@8
+ \setboxz@h{\corn@x@@{#1}}\dimen@=\wdz@
+ \ifcase#1\or \ht\z@=\z@ \kern\dimen@ \raise\dimen@\boxz@
+ \or \ht\z@=\z@ \raise\dimen@\boxz@ \kern\dimen@
+ \or \dp\z@=\z@ \lower\dimen@\boxz@ \kern\dimen@
+ \or \dp\z@=\z@ \kern\dimen@ \lower\dimen@\boxz@ \fi
+ \vrule height\dimen@ depth\dimen@ width\z@\fi
+ \edef\tmp@{\egroup \U@c=\the\dimen@}\tmp@ \D@c=\U@c \L@c=\U@c \R@c=\U@c
+ \Edge@c={\circleEdge}\ignorespaces}
+\xydef@\corn@x@#1{\ifcase#1\or
+ \circhar@@\z@ \circhar@@\@ne\or\circhar@@\tw@ \circhar@@3\or
+ \circhar@@5\circhar@@4\or\circhar@@7\circhar@@6\fi}
+\xylet@\corn@x@@=\corn@x@
+\xydef@\corn@@{\DN@{\solidcorner@}%
+ \ifx\framehfill\frm@doth@@ \DN@{\let\cirrestrict@@=\relax
+ \let\corn@x@@=\dotcorner@@ \let\zerodot=\framezerodot@@
+ \solidcorner@ }%
+ \else\ifx\framehfill\frm@dashh@@ \DN@{\let\cirrestrict@@=\relax
+ \let\corn@x@@=\dashcorner@@ \let\zerodot=\framezerodot@@
+ \solidcorner@ }%
+ \fi\fi \next@}
+\xydef@\dotcorner@@#1{\zerocorner}
+\xydef@\dashcorner@@#1{\zerocorner}
+\xywithoption{curve}{%
+ \let\dotcorner@@=\dotcorner@ \let\dashcorner@@=\dashcorner@}
+\xydefcsname@{frm{--}}{%
+ \frmDrop@{\let\zerocorner=\framezerodot@@
+ \let\framehfill=\frm@dashh@@ \let\framevfill=\frm@dashv@@
+ \framed@@\frmradius@@}}
+\xyletcsnamecsname@{frm[]{--}}{frm{--}}
+\xydef@\frm@dashh@@{\setboxz@h{\dashhfillchar}%
+ \ht\z@=\B@ \dp\z@=\B@ \wdz@=2\xydashl@
+ \copy\z@ \xleaders\copy\z@\hss \boxz@\kern-\xydashl@}
+\xydef@\frm@dashv@@{\setboxz@h to2\B@{\hss\dashvfillchar\hss}\ht\z@=\z@
+ \dp\z@=2\xydashl@ \nointerlineskip\copy\z@ \xleaders\copy\z@\vss
+ \nointerlineskip\boxz@\kern-\xydashl@}%
+\xydef@\dashhfillchar{{\rDirection@\xydashl@ \line@@}}
+\xydef@\dashvfillchar{{\dDirection@\xydashl@ \line@@}}
+\xydefcsname@{frm{o-}}{%
+ \ifdim\frmradius@@<2\xydashl@\relax \dimen@=.8\xydashl@
+ \expandafter\def\expandafter\frmradius@@\expandafter{\the\dimen@}\fi
+ \frmDrop@{\let\zerocorner=\framezerodot@@
+ \let\framehfill=\frm@rddashh@@ \let\framevfill=\frm@rddashv@@
+ \framed@@\frmradius@@}}%
+\xydef@\frm@rddashh@@{\setboxz@h{\kern\xydashl@\dashhfillchar}%
+ \ht\z@=\B@ \dp\z@=\B@ \copy\z@ \xleaders\copy\z@\hss \boxz@ \kern\xydashl@}
+\xydef@\frm@rddashv@@{\ifdim\dimen@ii<2\xydashl@\else
+ \setbox\z@=\vbox to2\xydashl@{\hbox to2\B@{\hss\dashvfillchar\hss}\vss}%
+ \kern\xydashl@ \copy\z@ \xleaders\copy\z@\vss
+ {\ifdim\dimen@ii<2\xydashl@\else\aftergroup\boxz@\fi}\fi}
+\xydefcsname@{frm{,}}{%
+ \ifx\frmradius@@\z@ \shaded@{1.2\p@}\else \shaded@\frmradius@@ \fi}
+\xydef@\shaded@#1{\frmDrop@{\R@=#1\relax
+ {\advance\X@c\R@ \advance\Y@c-\D@c \U@c=\z@ \D@c=\R@ \blacked@}%
+ {\advance\X@c\R@c \advance\Y@c-\R@ \L@c=\z@ \R@c=\R@ \blacked@}}}
+\xydefcsname@{frm{-,}}{\addtoDrop@@{\drop\frm{-}\drop\frm{,}}}
+\xydef@\blacked@{\setboxz@h{%
+ \A@=\X@c \advance\A@-\L@c \dimen@=\L@c \advance\dimen@\R@c
+ \B@=\Y@c \advance\B@-\D@c \dimen@ii=\Y@c \advance\dimen@ii\U@c
+ \advance\A@-.5\xydashw@
+ \kern\A@ \blacked@@ }%
+ \ht\z@=\z@ \dp\z@=\z@ \wd\z@=\z@ \boxz@}
+\xydef@\bblacked@{\setboxz@h{%
+ \dimen@=\L@c \advance\dimen@\R@c \B@=-\D@c \dimen@ii=\U@c
+ \kern-\L@c \blacked@@ \kern-\dimen@ \kern\L@c}%
+ \ht\z@=\z@ \dp\z@=\z@ \wd\z@=\z@ \boxz@}
+\xydef@\blacked@@{\vrule width\dimen@ depth-\B@ height\dimen@ii}
+\xydefcsname@{frm{o}}{%
+ \ifx\frmradius@@\z@
+ \frmDrop@{\dimen@=.5\L@c \advance\dimen@.5\R@c
+ \let\framehfill=\frm@solidh@@ \let\framevfill=\frm@solidv@@
+ \circled@\dimen@}%
+ \else
+ \frmDrop@{\let\framehfill=\frm@solidh@@
+ \let\framevfill=\frm@solidv@@ \circled@\frmradius@@}%
+ \fi}
+\xydefcsname@{frm{oo}}{%
+ \ifx\frmradius@@\z@
+ \frmDrop@{\dimen@=.5\L@c \advance\dimen@.5\R@c
+ \let\framehfill=\frm@solidh@@ \let\framevfill=\frm@solidv@@
+ {\circled@\dimen@}\advance\dimen@-2.1\p@ \circled@\dimen@}%
+ \else
+ \frmDrop@{\dimen@=\frmradius@@
+ \let\framehfill=\frm@solidh@@ \let\framevfill=\frm@solidv@@
+ {\circled@\dimen@}\advance\dimen@-2.1\p@ \circled@\dimen@}%
+ \fi}
+\xydef@\circled@#1{\setboxz@h\bgroup \R@=#1\relax
+ \setboxz@h{\vbox{\circled@x@@}}%
+ \A@=\X@c \advance\A@-.5\wd\z@
+ \B@=\Y@c \advance\B@-.5\ht\z@ \advance\B@.5\dp\z@ \advance\B@.2\p@
+ \edef\tmp@{\egroup\dimen@=\the\wdz@}%
+ \kern\A@ \raise\B@\boxz@
+ \tmp@ \divide\dimen@4 \ht\z@=\z@ \dp\z@=\z@ \wd\z@=\z@ \boxz@}
+\xydef@\circled@x@{\hbox{\corn@@4\R@ \corn@@3\R@}%
+ \nointerlineskip\hbox{\corn@@1\R@ \corn@@2\R@}}
+\xylet@\circled@x@@=\circled@x@
+\xydefcsname@{frm{.o}}{%
+ \ifx\frmradius@@\z@ \frmDrop@{\let\framehfill=\frm@doth@@
+ \dimen@=.5\L@c \advance\dimen@.5\R@c \circled@\dimen@}%
+ \else
+ \frmDrop@{\let\framehfill=\frm@doth@@ \circled@\frmradius@@}%
+ \fi}
+\xydefcsname@{frm{-o}}{%
+ \ifx\frmradius@@\z@ \frmDrop@{\let\framehfill=\frm@dashh@@
+ \dimen@=.5\L@c \advance\dimen@.5\R@c \circled@\dimen@}%
+ \else
+ \frmDrop@{\let\framehfill=\frm@dashh@@ \circled@\frmradius@@}%
+ \fi}
+\xydefcsname@{frm{e}}{\ellipse@whichfrm@\ellipsesolidframed@}%
+\xydefcsname@{frm{.e}}{\ellipse@whichfrm@\ellipsedotframed@}%
+\xydefcsname@{frm{-e}}{\ellipse@whichfrm@\ellipsedashframed@}%
+\xydefcsname@{frm{ee}}{\ellipse@whichdblfrm@\ellipsesolidframed@}%
+\xydefcsname@{frm2{.e}}{\ellipse@whichdblfrm@\ellipsedotframed@}%
+\xydefcsname@{frm2{-e}}{\ellipse@whichdblfrm@\ellipsedashframed@}%
+\xyletcsnamecsname@{frm[o]{-}}{frm{e}}
+\xyletcsnamecsname@{frm[o]{=}}{frm{ee}}
+\xyletcsnamecsname@{frm[o]{.}}{frm{.e}}
+\xyletcsnamecsname@{frm[o]{--}}{frm{-e}}
+\xydef@\ellipse@whichfrm@#1{%
+ \ifx\frmradius@@\z@
+ \frmDrop@{#1\dimen@=.5\L@c \advance\dimen@.5\R@c
+ \dimen@ii=.5\U@c \advance\dimen@ii.5\D@c
+ \edef\next@{\noexpand\ellipsed@{\the\dimen@}{\the\dimen@ii}}\next@ }%
+ \else
+ \frmDrop@{#1\expandafter\ellipsed@i@\frmradius@@,,@@}%
+ \fi}
+\xydef@\ellipse@whichdblfrm@#1{%
+ \ifx\frmradius@@\z@
+ \frmDrop@{#1\dimen@=.5\L@c \advance\dimen@.5\R@c
+ \dimen@ii=.5\U@c \advance\dimen@ii.5\D@c
+ \edef\next@{\noexpand\ellipsed@e@{\the\dimen@}{\the\dimen@ii}}\next@ }%
+ \else
+ \frmDrop@{#1\expandafter\ellipsed@ei@\frmradius@@,,@@}%
+ \fi}
+\xydef@\ellipsed@i@#1,#2,#3@@{\DNii@{,}\DN@{#3}%
+ \ifx\next@\nextii@
+ \dimen@=#1\relax \dimen@ii=#2\relax
+ \edef\next@{\noexpand\ellipsed@{\the\dimen@}{\the\dimen@ii}}%
+ \else \ifx\next@\empty \DN@{#2}%
+ \ifx\next@\empty \DN@{#1}%
+ \dimen@=.5\L@c \advance\dimen@.5\R@c
+ \dimen@ii=.5\U@c \advance\dimen@ii.5\D@c
+ \edef\next@{\noexpand\ellipsed@{\the\dimen@}{\the\dimen@ii}}%
+ \else \dimen@=#1\relax
+ \edef\next@{\noexpand\ellipsed@{\the\dimen@}{\the\dimen@ii}}%
+ \fi
+ \else\xywarning@{ignoring extra tokens in elliptical frame: #3 }%
+ \dimen@=#1\relax \dimen@ii=#2\relax
+ \edef\next@{\noexpand\ellipsed@{\the\dimen@}{\the\dimen@ii}}%
+ \fi\fi \next@ }
+\xydef@\ellipsed@ei@#1,#2,#3@@{\DNii@{,}\DN@{#3}%
+ \ifx\next@\nextii@
+ \dimen@=#1\relax \dimen@ii=#2\relax
+ \edef\next@{\noexpand\ellipsed@e@{\the\dimen@}{\the\dimen@ii}}%
+ \else \ifx\next@\empty \DN@{#2}%
+ \ifx\next@\empty \DN@{#1}%
+ \dimen@=.5\L@c \advance\dimen@.5\R@c
+ \dimen@ii=.5\U@c \advance\dimen@ii.5\D@c
+ \edef\next@{\noexpand\ellipsed@e@{\the\dimen@}{\the\dimen@ii}}%
+ \else
+ \dimen@=#1\relax
+ \edef\next@{\noexpand\ellipsed@e@{\the\dimen@}{\the\dimen@}}%
+ \fi
+ \else\xywarning@{ignoring extra tokens in elliptical frame: #3 }%
+ \dimen@=#1\relax \dimen@ii=#2\relax
+ \edef\next@{\noexpand\ellipsed@e@{\the\dimen@}{\the\dimen@ii}}%
+ \fi\fi \next@ }
+\xydef@\ellipsed@e@#1#2{%
+ \dimen@=#1\relax \dimen@ii=#2\relax
+ \edef\next@{\noexpand\ellipsed@{\the\dimen@}{\the\dimen@ii}}\next@
+ \dimen@=#1\relax \dimen@ii=#2\relax
+ \ifdim\dimen@>2\p@ \advance\dimen@-2\p@ \else \dimen@=\z@\fi
+ \ifdim\dimen@ii>2\p@ \advance\dimen@ii-2\p@ \else \dimen@ii=\z@\fi
+ \edef\next@{\noexpand\ellipsed@{\the\dimen@}{\the\dimen@ii}}\next@ }%
+\xydef@\ellipsed@#1#2{\setboxz@h\bgroup \relax
+ \setboxz@h{\vbox{\ellipsed@x@@{#1}{#2}}}%
+ \A@=\X@c \advance\A@-.5\wd\z@
+ \B@=\Y@c \advance\B@-.5\ht\z@ \advance\B@.5\dp\z@
+ \edef\tmp@{\egroup\dimen@=\the\wdz@}%
+ \kern\A@ \raise\B@\boxz@
+ \tmp@ \divide\dimen@4 \ht\z@=\z@ \dp\z@=\z@ \wd\z@=\z@ \boxz@}
+\xydef@\ellipsed@i#1#2{{\R@c=#1\relax\L@c=\R@c
+ \U@c=#2\relax\D@c=\U@c \ellipsed@{#1}{#2}}}
+\xydef@\ellipsed@x@#1#2{\R@=#1\relax\advance\R@#2\relax
+ \divide\R@\tw@ \circled@x@@ }
+\xylet@\ellipsed@x@@=\ellipsed@x@
+\xydef@\ellipsesolidframed@{%
+ \let\framehfill=\frm@solidh@@ \let\framevfill=\frm@solidv@@}
+\xydef@\ellipsedotframed@{%
+ \let\framehfill=\frm@doth@@ \let\framevfill=\frm@dotv@@}
+\xydef@\ellipsedashframed@{%
+ \let\framehfill=\frm@dashh@@ \let\framevfill=\frm@dashv@@}
+\xydefcsname@{frm{\{}}{\addtoDrop@@{\lbraced}}
+\xydefcsname@{frm{\}}}{\addtoDrop@@{\rbraced}}
+\xydefcsname@{frm{^\}}}{\addtoDrop@@{\ubraced}}
+\xydefcsname@{frm{_\}}}{\addtoDrop@@{\dbraced}}
+\xydef@\dbraced{\xy@@{\setboxz@h{%
+ \A@=\X@c \advance\A@-\L@c \B@=\Y@c \advance\B@-\D@c
+ \setboxz@h{$\m@th\bracelu$}\dimen@=2\wdz@ \advance\B@-.5\ht\z@
+ \ifdim\R@c<\dimen@ \R@c=\dimen@ \fi
+ \ifdim\L@c<\dimen@ \advance\A@-\dimen@ \advance\A@\L@c \L@c=\dimen@ \fi
+ \advance\A@-.25pt
+ \kern\A@\raise\B@\hbox{%
+ \hbox to\L@c{$\m@th\bracelu\leaders\vrule\hfil\bracerd$}%
+ \kern.5pt
+ \hbox to\R@c{$\m@th\braceld\leaders\vrule\hfil\braceru$}}}%
+ \ht\z@=\z@ \dp\z@=\z@ \wd\z@=\z@ \boxz@}}
+\xydef@\ubraced{\xy@@{\setboxz@h{%
+ \A@=\X@c \advance\A@-\L@c \B@=\Y@c \advance\B@\U@c
+ \setboxz@h{$\m@th\bracelu$}\dimen@=2\wdz@
+ \ifdim\R@c<\dimen@ \R@c=\dimen@ \fi
+ \ifdim\L@c<\dimen@ \advance\A@-\dimen@ \advance\A@\L@c \L@c=\dimen@ \fi
+ \advance\A@-.25pt
+ \kern\A@\raise\B@\hbox{%
+ \hbox to\L@c{$\m@th\braceld\leaders\vrule\hfil\braceru$}%
+ \kern.5pt
+ \hbox to\R@c{$\m@th\bracelu\leaders\vrule\hfil\bracerd$}}}%
+ \ht\z@=\z@ \dp\z@=\z@ \wd\z@=\z@ \boxz@}}
+{\catcode`\"=12
+ \global\mathchardef\braceur="338
+ \global\mathchardef\braceul="339
+ \global\mathchardef\bracedr="33A
+ \global\mathchardef\bracedl="33B
+ \global\mathchardef\bracecl="33C
+ \global\mathchardef\bracecr="33D
+ \global\mathchardef\bracec="33E }
+\xydef@\lbraced{\xy@@{\setboxz@h{%
+ \A@=\X@c \advance\A@-\L@c \B@=\Y@c \advance\B@-\D@c
+ \setboxz@h{$\m@th\bracecl$}\dimen@ii=\dp\z@ \advance\A@-.5\wdz@
+ \setboxz@h{$\m@th\bracec$}\dimen@=\dp\z@
+ \ifdim\U@c<.5\dimen@ \U@c=.5\dimen@ \fi
+ \ifdim\D@c<.5\dimen@ \advance\B@-.5\dimen@ \advance\B@\D@c \D@c=.5\dimen@ \fi
+ \advance\U@c.6\p@ \advance\D@c.6\p@ \advance\B@-.6\p@
+ \kern\A@\raise\B@\vbox{\vbox to\U@c{%
+ \nointerlineskip\hbox{$\m@th\braceur$}%
+ \kern-.61\dimen@ \cleaders\copy\z@\vfil \kern-.4\dimen@
+ \nointerlineskip\hbox{$\m@th\bracecl$}\kern-.5\dimen@ii}%
+ \nointerlineskip\vbox to\D@c{\kern.5\dimen@ii
+ \kern-.4\dimen@ \cleaders\copy\z@\vfil \kern-.61\dimen@
+ \nointerlineskip\hbox{$\m@th\bracedr$}\kern\z@}}}%
+ \ht\z@=\z@ \dp\z@=\z@ \wd\z@=\z@ \boxz@}}
+\xydef@\rbraced{\xy@@{\setboxz@h{%
+ \A@=\X@c \advance\A@\R@c \B@=\Y@c \advance\B@-\D@c
+ \setboxz@h{$\m@th\bracecr$}\dimen@ii=\dp\z@ \advance\A@-.5\wdz@
+ \setboxz@h{$\m@th\bracec$}\dimen@=\dp\z@
+ \ifdim\U@c<.5\dimen@ \U@c=.5\dimen@ \fi
+ \ifdim\D@c<.5\dimen@ \advance\B@-.5\dimen@ \advance\B@\D@c \D@c=.5\dimen@ \fi
+ \advance\U@c.6\p@ \advance\D@c.6\p@ \advance\B@-.6\p@
+ \kern\A@\raise\B@\vbox{\vbox to\U@c{%
+ \nointerlineskip\hbox{$\m@th\braceul$}%
+ \kern-.61\dimen@ \cleaders\copy\z@\vfil \kern-.4\dimen@
+ \nointerlineskip\hbox{$\m@th\bracecr$}\kern-.5\dimen@ii}%
+ \nointerlineskip\vbox to\D@c{\kern.5\dimen@ii
+ \kern-.4\dimen@ \cleaders\copy\z@\vfil \kern-.61\dimen@
+ \nointerlineskip\hbox{$\m@th\bracedl$}\kern\z@}}}%
+ \ht\z@=\z@ \dp\z@=\z@ \wd\z@=\z@ \boxz@}}
+\xydefcsname@{frm{(}}{\addtoDrop@@{\lparenthesized}}
+\xydefcsname@{frm{)}}{\addtoDrop@@{\rparenthesized}}
+\xydefcsname@{frm{^)}}{\addtoDrop@@{\uparenthesized}}
+\xydefcsname@{frm{_)}}{\addtoDrop@@{\dparenthesized}}
+\xydef@\dparenthesized{\xy@@{\setboxz@h{%
+ \A@=\X@c \advance\A@-\L@c \B@=\Y@c \advance\B@-\D@c
+ \setboxz@h{$\m@th\bracelu$}\dimen@=2\wdz@ \advance\B@-.5\ht\z@
+ \ifdim\R@c<\dimen@ \R@c=\dimen@ \fi
+ \ifdim\L@c<\dimen@ \advance\A@-\dimen@ \advance\A@\L@c \L@c=\dimen@ \fi
+ \dimen@=\L@c \advance\dimen@\R@c
+ \kern\A@\raise\B@\hbox to\dimen@{%
+ $\m@th\bracelu\leaders\vrule\hfil\braceru$}}%
+ \ht\z@=\z@ \dp\z@=\z@ \wd\z@=\z@ \boxz@}}
+\xydef@\uparenthesized{\xy@@{\setboxz@h{%
+ \A@=\X@c \advance\A@-\L@c \B@=\Y@c \advance\B@\U@c
+ \setboxz@h{$\m@th\bracelu$}\dimen@=2\wdz@
+ \ifdim\R@c<\dimen@ \R@c=\dimen@ \fi
+ \ifdim\L@c<\dimen@ \advance\A@-\dimen@ \advance\A@\L@c \L@c=\dimen@ \fi
+ \dimen@=\L@c \advance\dimen@\R@c
+ \kern\A@\raise\B@\hbox to\dimen@{%
+ $\m@th\braceld\leaders\vrule\hfil\bracerd$}}%
+ \ht\z@=\z@ \dp\z@=\z@ \wd\z@=\z@ \boxz@}}
+\xydef@\lparenthesized{\xy@@{\setboxz@h{%
+ \A@=\X@c \advance\A@-\L@c \B@=\Y@c \advance\B@-\D@c
+ \setboxz@h{$\m@th\bracecr$}\dimen@ii=\dp\z@ \advance\A@-.5\wdz@
+ \setboxz@h{$\m@th\bracec$}\dimen@=\dp\z@
+ \ifdim\U@c<.5\dimen@ \U@c=.5\dimen@ \fi
+ \ifdim\D@c<.5\dimen@ \advance\B@-.5\dimen@ \advance\B@\D@c \D@c=.5\dimen@ \fi
+ \advance\U@c.6\p@ \advance\D@c.6\p@ \advance\B@-.6\p@
+ \dimen@ii\U@c \advance\dimen@ii\D@c
+ \kern\A@\raise\B@\vbox to \dimen@ii{%
+ \nointerlineskip\hbox{$\m@th\braceur$}%
+ \kern-.61\dimen@ \cleaders\copy\z@\vfil \kern-.61\dimen@
+ \nointerlineskip\hbox{$\m@th\bracedr$}\kern\z@}}%
+ \ht\z@=\z@ \dp\z@=\z@ \wd\z@=\z@ \boxz@}}
+\xydef@\rparenthesized{\xy@@{\setboxz@h{%
+ \A@=\X@c \advance\A@\R@c \B@=\Y@c \advance\B@-\D@c
+ \setboxz@h{$\m@th\bracecr$}\dimen@ii=\dp\z@ \advance\A@-.5\wdz@
+ \setboxz@h{$\m@th\bracec$}\dimen@=\dp\z@
+ \ifdim\U@c<.5\dimen@ \U@c=.5\dimen@ \fi
+ \ifdim\D@c<.5\dimen@ \advance\B@-.5\dimen@ \advance\B@\D@c \D@c=.5\dimen@ \fi
+ \advance\U@c.6\p@ \advance\D@c.6\p@ \advance\B@-.6\p@
+ \dimen@ii\U@c \advance\dimen@ii\D@c
+ \kern\A@\raise\B@\vbox to \dimen@ii{%
+ \nointerlineskip\hbox{$\m@th\braceul$}%
+ \kern-.61\dimen@ \cleaders\copy\z@\vfil \kern-.61\dimen@
+ \nointerlineskip\hbox{$\m@th\bracedl$}\kern\z@}}%
+ \ht\z@=\z@ \dp\z@=\z@ \wd\z@=\z@ \boxz@}}
+\xydefcsname@{frm{*}}{%
+ \expandafter\frmDrop@\expandafter{%
+ \expandafter\def\expandafter\prevEdge@@\expandafter{\prevEdge@@}%
+ \frame@fill@@\frmradius@@}}
+\xydefcsname@{frm{**}}{%
+ \expandafter\frmDrop@\expandafter{%
+ \expandafter\def\expandafter\prevEdge@@\expandafter{\prevEdge@@}%
+ \frame@emph@@\frmradius@@}}
+\xydef@\frame@fill@#1{\filled@{#1}\empty}
+\xydef@\frame@emph@#1{\framed@\frmradius@@}
+\xylet@\frame@fill@@=\frame@fill@
+\xylet@\frame@emph@@=\frame@emph@
+\xydef@\filled@#1{\R@=#1\relax
+ \expandafter\DNii@\expandafter{\prevEdge@@}%
+ \DN@{\rectangleEdge}\ifx\next@\prevEdge@@
+ \ifdim\R@=\z@ \DN@{\filled@Rectangle@}%
+ \else \DN@{\filled@Oval@}\fi
+ \else \DN@{\circleEdge}\ifx\next@\prevEdge@@
+ \ifdim\R@=\z@ \DN@{\filled@Ellipse@}%
+ \else \DN@{\restR@max\filled@Circle@}\fi
+ \else
+ \ifdim\R@=\z@ \DN@{\filled@Rectangle@}%
+ \else \DN@{\filled@Circle@}\fi
+ \fi\fi \next@}
+\xydef@\restR@max{%
+ \dimen@=\L@c\advance\dimen@\R@c
+ \dimen@ii=\U@c \advance\dimen@ii\D@c
+ \ifdim\dimen@ii>\dimen@ \dimen@=\dimen@ii\fi
+ \ifdim\dimen@>\z@ \divide\dimen@\tw@
+ \ifdim\R@>\dimen@\R@=\dimen@\fi\fi }
+\xylet@\filledRectangle@@=\bblacked@
+\xylet@\filledCircle@@=\bblacked@
+\xylet@\filledEllipse@@=\bblacked@
+\xylet@\filledOval@@=\bblacked@
+\xydef@\filled@Region@#1#2{\setboxz@h\bgroup
+ \setboxz@h{\vbox{#1#2\empty}}%
+ \A@=\X@c \advance\A@-.5\wd\z@
+ \B@=\Y@c \advance\B@-.5\ht\z@ \advance\B@.5\dp\z@
+ \edef\tmp@{\egroup\dimen@=\the\wdz@}%
+ \kern\A@ \raise\B@\boxz@ \kern-\A@
+ \tmp@ \divide\dimen@\tw@ \ht\z@=\z@ \dp\z@=\z@ \wd\z@=\z@ \styledboxz@}
+\xydef@\filled@Rectangle@{\filled@Region@\filledRectangle@@}
+\xydef@\filled@Oval@{\filled@Region@\filledOval@@}
+\xydef@\filled@Circle@{\filled@Region@\filledCircle@@}
+\xydef@\filled@Ellipse@{\filled@Region@\filledEllipse@@}
+\xydefcsname@{shape [F...]}#1{\xyFN@\Fshape@#1:@}
+\xylet@\whichframe@@=\empty
+\xylet@\whichoptions@@=\empty
+\xydef@\Fshape@#1:{\def\whichframe@@{{#1}}%
+ \DN@{{}}\ifx\whichframe@@\next@ \def\whichframe@@{{-}}\fi
+ \expandafter\DN@\expandafter{\the\Edge@c}\DNii@{\circleEdge}\ifx\next@\nextii@
+ \DN@##1{\def\whichframe@@{[o]##1}}%
+ \expandafter\next@\expandafter{\whichframe@@}\fi
+ \let\whichoptions@@=\empty \xyFN@\Fshape@i}
+\xydef@\Fshape@i{%
+ \ifx @\next \let\next@=\Fshape@x
+ \else\addLT@\ifx\next \let\next@=\Fshape@iii
+ \else \let\next@=\Fshape@ii \fi\fi \next@}
+\xydef@\Fshape@ii#1:{%
+ \expandafter\def\expandafter\whichoptions@@\expandafter{\whichoptions@@[#1]}%
+ \xyFN@\Fshape@i}
+\xydef@\Fshape@iii#1:{\DN@##1{\def\whichframe@@{#1##1}}%
+ \expandafter\next@\expandafter{\whichframe@@}\xyFN@\Fshape@i}
+\xydef@\Fshape@x @{%
+ \edef\next@##1{\noexpand\addbeforeDrop@@{{\EdgefromtheEdge@##1}}}%
+ \DNii@##1##2{\next@{\saveframestyles@{\setbox\z@=\object##2\frm##1%
+ \xypre@Style@@\Drop@@\xypost@Style@@\restoreframestyles@}}}%
+ \expandafter\expandafter\expandafter\nextii@
+ \expandafter\expandafter\expandafter{%
+ \expandafter\whichframe@@\expandafter}\expandafter{\whichoptions@@}}
+\xydef@\saveframestyles@{%
+ \expandafter\def\expandafter\afterframe@preStyle@\expandafter{\preXY@style@}%
+ \expandafter\def\expandafter\afterframe@postStyle@\expandafter{\postXY@style@}}
+\xydef@\restoreframestyles@{%
+ \expandafter\gdef\expandafter\preXY@style@\expandafter{\afterframe@preStyle@}%
+ \expandafter\gdef\expandafter\postXY@style@\expandafter{\afterframe@postStyle@}%
+ \def\afterframe@preStyle@{}\def\afterframe@postStyle@{}}
+\xydef@\xycircleframe@x@{\L@=\R@ \xycircleframe@x@i}%
+\xydef@\xyellipseframe@x@#1#2{\R@=#1\relax \L@=#2\relax \xycircleframe@x@i}
+\xydef@\xycircleframe@x@i{%
+ \ifx\framehfill\frm@solidh@@\def\circleSTYLE@{}%
+ \else\ifx\framehfill\frm@doth@@
+ \expandafter\def\expandafter\circleSTYLE@\expandafter{\addDOT@{}}%
+ \else\ifx\framehfill\frm@dashh@@
+ \expandafter\expandafter\expandafter\def\expandafter\expandafter
+ \expandafter\circleSTYLE@\expandafter\expandafter\expandafter
+ {\expandafter\addDASH@\addDASH@{}}%
+ \fi\fi\fi \xycircleframe@x@x }
+\xydef@\xycircleframe@x@x{\hbox{\vbox{\vskip\L@
+ \hbox to2\R@{\hfill \buildcircle@ \hfill}\vskip\L@ }}}
+\xydef@\UseCurveFrames@{%
+ \let\circled@x@@=\xycircleframe@x@
+ \let\ellipsed@x@@=\xyellipseframe@x@ }
+\def\UseCurveFrames{\xywithoption{curve}{\UseCurveFrames@}}%
+\xydef@\UseFontFrames@{%
+ \let\circled@x@@=\circled@x@
+ \let\ellipsed@x@@=\ellipsed@x@ }
+\xylet@\UseFontFrames=\UseFontFrames@
+\xydef@\UnloadFrames@{%
+ \let\framed@body@@=\framed@body@
+ \let\circled@x@@=\circled@x@
+ \let\ellipsed@x@@=\ellipsed@x@
+ \let\frame@fill@@=\frame@fill@
+ \let\frame@emph@@=\frame@emph@
+ \let\filledRectangle@@=\bblacked@
+ \let\filledCircle@@=\bblacked@
+ \let\filledEllipse@@=\bblacked@
+ \let\filledOval@@=\bblacked@
+}
+\xyaddunsupport{frame}\UnloadFrames@
+\xyendinput