%% xyrotate.tex from $Id: xyrotate.doc,v 2.12 1994/10/25 03:01:14 ross Exp $
%%
%% XY-pic ``Rotate and Scale extension'' option.
%% Copyright (c) 1993-1994 Ross Moore <ross@mpce.mq.edu.au>
%%
%% 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) 1991-1994 Kristoffer H. Rose <kris@diku.dk>
%%
%% 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 \input xy \fi
\xyprovide{rotate}{Rotate and Scale extension}{\stripRCS$Revision: 2.12 $}%
 {Ross Moore}{ross@mpce.mq.edu.au}%
 {Mathematics Department, Macquarie University, NSW~2109, Australia}
\xydef@\xyundefinedRotate@#1#2@@{%
 \xywarning@{The #1 #2 effect is not implemented with the current driver.}}%
\xydef@\NoResizing{\xyNoResizing@}
\xydef@\UseResizing{\xyUseResizing@}
\xydef@\xyNoResizing@{%
 \global\let\origxyrescale@=\xyrescale@
 \global\let\origxyrotSizeMod@=\xyrotateSizeMod@
 \global\let\xyNoResizing@=\xyNoResizing@@
 \global\let\xyUseResizing@=\xyUseResizing@@
 \xyNoResizing@@ }
\xydef@\xyNoResizing@@{%
 \global\let\xyrescale@=\xyignorescale@
 \global\let\xyrotateSizeMod@=\xyignoreSizeMod@
 }
\xylet@\xyUseResizing@=\relax
\xydef@\xyUseResizing@@{%
 \global\let\xyrescale@=\origxyrescale@
 \global\let\xyrotateSizeMod@=\origxyrotSizeMod@
 }
 \xyrequire{line}
 \xycatcodes
\xydefcsname@{*shapechar@@@}#1{\xyrotatechar@#1@@}%
\xydefcsname@{*shapechar@<@}#1{\xyshearchar@{#1}@@}%
\xydefcsname@{*shapechar@*@}#1{\xyscalechar@{#1}@@}%
\xydefcsname@{*shape@left@}{\xyshape@left@}
\xydefcsname@{*shape@right@}{\xyshape@right@}
\xydefcsname@{*shape@flip@}{\xyshape@flip@}
\xydefcsname@{*shape@halfsize@}{\xyshape@halfsize@}
\xydefcsname@{*shape@dblsize@}{\xyshape@dblsize@}
\xydefcsname@{*shape@vflip@}{\xyshape@vflip@}
\xydefcsname@{*shape@hflip@}{\xyshape@hflip@}
\xydef@\xyshearchar@{\xyundefinedRotate@{shearing}}
\xydef@\preXYtransform@{}
\xydef@\postXYtransform@{}
\xywarnifdefined\preXYtransform@@
\xywarnifdefined\postXYtransform@@
 \gdef\preXYtransform@@{}
 \gdef\postXYtransform@@{}
\xydef@\xy@transform@{}
\xydef@\preShape@@{}
\xydef@\postShape@@{}
\xydef@\modXYtransform@{%
 \ifx\xy@transform@\empty\transformDrop@\resetTransform@\fi
 \DN@##1{\expandafter\def\expandafter\tmp@\expandafter{##1}}%
 \expandafter\next@\expandafter{\preShape@@}%
 \DN@##1{\expandafter\gdef\expandafter\preXYtransform@@\expandafter{%
 \tmp@ ##1}}\expandafter\next@\expandafter{\preXYtransform@@}%
 \DN@##1{\expandafter\def\expandafter\tmp@\expandafter{##1}}%
 \expandafter\next@\expandafter{\postShape@@}%
 \DN@##1{\expandafter\gdef\expandafter\postXYtransform@@\expandafter{%
 \postXYtransform@@ ##1}}\expandafter\next@\expandafter{\tmp@}}%
\def\modXYtransform@{}
\xydef@\transformDrop@{\let\xy@transform@=\relax
 \expandafter\def\expandafter\Drop@@\expandafter{%
 \expandafter\preXYtransform@\Drop@@\postXYtransform@}}
\xydef@\resetTransform@{\gdef\preXYtransform@@{}\gdef\postXYtransform@@{}}
\xydef@\xynametransform@#1{%
 \expandafter\def\expandafter\tmp@\expandafter{\preXYtransform@@}%
 \DN@##1{\def\tmp@{\gdef\preXYtransform@@{##1}}}%
 \expandafter\next@\expandafter{\preXYtransform@@}%
 \DN@##1{\expandafter\def\expandafter#1\expandafter{\tmp@
 \gdef\postXYtransform@@{##1}}}%
 \expandafter\next@\expandafter{\postXYtransform@@}%
 \DN@{}}
\xydef@\xyscalechar@#1@@{\xyscalechars@#1,#1,@@}
\xydef@\xyscalechars@#1,#2,#3@@{%
 \DN@{\xyrescale@(#1,#2)}%
 \dimen@=#1\p@
 \ifdim\dimen@>\z@ \else \ifdim\dimen@<\z@ \else
 \DN@{\xywarning@{invalid scaling factors #1, #2}}%
 \fi\fi \dimen@=#2\p@
 \ifdim\dimen@>\z@ \else \ifdim\dimen@<\z@ \else
 \DN@{\xywarning@{invalid scaling factors #1, #2 }}%
 \fi\fi \next@ }
\xydef@\xyrescale@(#1,#2){%
 \setboxz@h{\xyscale@@{#1}{#2}%
 \dimen@=\ifx-#1\Rc\advance\dimen@-\Rc \dimen@=-\dimen@
 \else#1\Lc \advance\dimen@-\Lc\fi
 \kern\dimen@\boxz@\kern-\dimen@}%
 \Rc=\if-#1\Lc\else#1\Rc\fi
 \Lc=\if-#1\Rc\else#1\Lc\fi
 \Uc=\if-#2\Dc\else#2\Uc\fi
 \Dc=\if-#2\Uc\else#2\Dc\fi }
\xydef@\xyignorescale@(#1,#2){\xywarning@{Ignoring rescale: #1,#2}%
 \setboxz@h{\xyscale@@{#1}{#2}\boxz@}}%
\xydef@\xyscale@@#1#2{\xyundefinedRotate@{scale}{#1,#2}@@}
\xydef@\xyshape@halfsize@{\xyrescale@(.5,.5)}
\xydef@\xyshape@dblsize@{\xyrescale@(2,2)}
\xydef@\xyshape@flip@{\xyrescale@(-1,-1)}
\xydef@\xyshape@vflip@{\xyrescale@(1,-1)}
\xydef@\xyshape@hflip@{\xyrescale@(-1,1)}
\xydef@\xyrotatechar@{\bgroup
 \afterDIRECTIONorEMPTY{\xyrotateSizeMod@}{\xyFN@\xySpecialRotate@}}
\xydef@\xySpecialRotate@{%
 \ifx \space@\next \expandafter\DN@\space{\xyFN@\xySpecialRotate@}%
 \else\ifx @\next \let\next@=\xyrotateSizeMod@
 \else\addEQ@\ifx \next
 \addEQ@\DN@##1@@{\transformDrop@
 \expandafter\xynametransform@\csname *shape@##1@\endcsname}%
 \else\ifx !\next \DN@!{\getSpecialRotate@}%
 \else\ifx *\next \DN@*{\transformDrop@}%
 \else \DN@{\xySpecialRotate@@@}%
 \fi\fi\fi\fi\fi \next@ }
\xydef@\getSpecialRotate@{\doSpecialRotate@}
\xydef@\xyRotate@@#1{\xyundefinedRotate@{rotate}{#1}@@}
\xydef@\xySpecialRotate@@@#1@@{\xyundefinedRotate@{rotate}{#1}@@}
\xydef@\doSpecialRotate@#1@@{\xyundefinedRotate@{special rotate}{#1}@@}
\xydef@\xyrotateSizeMod@ @@{%
 \Lp=\Lc \Rp=\Rc \Up=\Uc \Dp=\Dc 
 \ifdim\cosDirection\p@>\z@ 
 \Rc=\cosDirection\Rp \Lc=\cosDirection\Lp
 \Uc=\cosDirection\Up \Dc=\cosDirection\Dp 
 \else
 \Rc=\cosDirection\Lp \Lc=\cosDirection\Rp
 \Uc=\cosDirection\Dp \Dc=\cosDirection\Up 
 \fi
 \advance\Lc \if-\sinDirection\Dp\else\sinDirection\Up\fi
 \advance\Rc \if-\sinDirection\Up\else\sinDirection\Dp\fi
 \advance\Uc \if-\sinDirection\Lp\else\sinDirection\Rp\fi
 \advance\Dc \if-\sinDirection\Rp\else\sinDirection\Lp\fi
 \dimen@ii=\Lc \advance\dimen@ii-\Lp
 \edef\tmp@{\egroup \Lc=\the\Lc \Rc=\the\Rc \Uc=\the\Uc \Dc=\the\Dc
 \dimen@ii=\the\dimen@ii \noexpand\setboxz@h\bgroup
 \noexpand\xyRotate@@{\the\Direction}}\tmp@
 \kern\dimen@ii \boxz@ \kern-\dimen@ii
 \egroup
 }
\xydef@\xyignoreSizeMod@ @@{\xywarning@{Ignoring rotation}}
\xydef@\xyshape@left@{\xyrotatechar@ v(0,1)@@}
\xydef@\xyshape@right@{\xyrotatechar@ v(0,-1)@@}
\xyendinput