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%% xynecula.tex from $Id: xynecula.doc,v 3.4 2011/03/14 20:14:00 krisrose Exp $
%%
%% Xy-pic ``Necula extensions'' option.
%% Copyright (c) 1998 George C. Necula <necula@cs.cmu.edu>
%%
%% 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{necula}{Necula's extensions}{\stripRCS$Revision: 3.4 $}%
{George C. Necula}{necula@cs.cmu.edu}%
{School of Computer Science,
Carnegie Mellon University,
5000 Forbes Avenue,
Pittsburgh, PA 15213-3891, USA}
\def\expandbeforenext@#1{%
\DN@ e|##1|{\edef\tmp@{##1}\expandafter\xyFN@\expandafter#1\tmp@}%
}
\xylet@\xy@oldOBJECT@=\OBJECT@
\xydef@\xy@newOBJECT@{%
\ifx \space@\next \expandafter\DN@\space{\xyFN@\xy@newOBJECT@}%
\else\ifx e\next
\expandbeforenext@\OBJECT@
\else
\DN@{\xy@oldOBJECT@}\fi\fi
\next@}%
\let\OBJECT@=\xy@newOBJECT@
\xylet@\xy@oldCOORD@=\COORD@
\xydef@\xy@newCOORD@{%
\ifx \space@\next \expandafter\DN@\space{\xyFN@\xy@newCOORD@}%
\else\ifx e\next
\expandbeforenext@\COORD@
\else
\DN@{\xy@oldCOORD@}\fi\fi
\next@}%
\let\COORD@=\xy@newCOORD@
\xydefcsname@{*stylechar@P@}#1{\Pshape@#1@}
\xynew@{count}\c@poly@count \c@poly@count=\z@
\xydef@\Pshape@:#1@{%
\addtotoks@{%
\def\poly@list{@}%
\poly@parse #1,\relax,%Sets the poly@list
\def\poly@cache{}%
\edef\poly@id{\the\c@poly@count}%
\global\advance\c@poly@count\@ne
\poly@setEdge
\edef\poly@saveLcshape{\the\L@c}%
\polygonEdge@Outer% Set U,R,D,L
\poly@setEdge
\dimen@=\poly@saveLcshape\advance\dimen@-\L@c
\advance\R@p -\dimen@
}}
\xydef@\poly@setEdge{\expandafter\poly@setEdge@\poly@list\poly@id}
\xydef@\poly@setEdge@#1@#2{\Edge@c={\polygonEdge#1@#2@}%
\expandafter\xdef\csname poly@cache#2%
\endcsname{\poly@cache}}
\xydefcsname@{frm[P]{-}}{\expandafter\draw@polyframe\the\Edge@c{-}}
\xydefcsname@{frm[P]{.}}{\expandafter\draw@polyframe\the\Edge@c{.}}
\xydefcsname@{frm[P]{=}}{\expandafter\draw@polyframe\the\Edge@c{=}}
\xydef@\draw@polyframe\polygonEdge#1@#2@#3{%
\def\poly@dir{#3}%
\def\poly@list{#1@}%
\def\poly@id{#2}%
\edef\poly@cache{\csname poly@cache\poly@id\endcsname}%
\draw@polygon}
\xydef@\poly@empty{}
\xydef@\poly@map#1#2,#3;#4@{%
#1{#2}{#3}%
\def\tmp@{#4}%
\ifx \poly@empty\tmp@ \else
\poly@map@next#1#4@%
\fi
}
\xydef@\poly@map@stop#1@{}
\xydef@\poly@mapExpand#1#2{%
\edef\tmp@{\noexpand\poly@map\noexpand #1#2}%
\tmp@}
\xydef@\poly@parse #1,{%
\ifx #1\relax
\poly@close
\let\next@=\relax
\else
\save@
\POS #1%
\edef\tmp@{{\the\X@c}{\the\Y@c}}%
\expandafter\poly@append\tmp@
\restore
\let\next@=\poly@parse
\fi
\next@
}
\xydef@\poly@append#1#2{\expandafter\poly@append@\poly@list{#1,#2;}}
\xydef@\poly@append@#1@#2{\global\def\poly@list{#1#2@}}
\xydef@\poly@close{\expandafter\poly@close@\poly@list}
\xydef@\poly@close@#1,#2;#3@{\poly@append{#1}{#2}}
\xydef@\draw@polygon{%
\save@
\X@origin=\X@c \Y@origin=\Y@c
\poly@setp
\U@c=\z@\R@c=\z@\D@c=\z@\L@c=\z@\U@p=\z@\R@p=\z@\D@p=\z@\L@p=\z@
\Edge@c={\zeroEdge}\Edge@p={\zeroEdge}%
\let\poly@map@next=\poly@map
\poly@mapExpand\poly@drawseg\poly@rest
\restore
}
\xydef@\poly@setp{\expandafter\poly@setp@\poly@list}
\xydef@\poly@setp@#1,#2;#3@{%
\X@p=#1\advance\X@p\X@origin \Y@p=#2\advance\Y@p\Y@origin%
\global\def\poly@rest{#3@}}
\xydef@\poly@drawseg#1#2{%
\dimen@=#1\X@c=\the\dimen@\advance\X@c \X@origin
\dimen@=#2\Y@c=\the\dimen@\advance\Y@c \Y@origin
\expandafter\connect@\expandafter\dir\poly@dir%
\X@p=\X@c\Y@p=\Y@c}
\xydef@\polygonEdge#1@#2@#3{%
\def\poly@list{#1@}%
\def\poly@id{#2}%
\edef\poly@cache{\csname poly@cache\poly@id\endcsname}%
\ifcase#3\relax
\DN@{\polygonEdge@Inters
}%
\or \DN@{\polygonEdge@Under}%
\or \DN@{\polygonEdge@Dist}%
\or \DN@{\rectangleProp@}%
\or \DN@{\polygonEdge@Inner}%
\or \DN@{\polygonEdge@Outer}%
\else \DN@{}\fi
\next@}
\newif\ifpoly@badinters
\xydef@\polygonEdge@Inters{%
\ifx\poly@cache\poly@empty
\poly@intersdoit
\else
\expandafter\poly@intersprobecache\poly@cache @%
\fi
}
\xydef@\poly@cachehit#1#2{%
\X@c=#1\Y@c=#2}
\xydef@\poly@cachehitdisable#1#2{\poly@intersdoit}
\xydef@\poly@intersprobecache#1,#2,#3,#4,#5@{%
\dimen@=#1\advance\dimen@-\d@X
\ifdim\zz@\dimen@
\dimen@=#2\advance\dimen@-\d@Y
\ifdim\zz@\dimen@
\poly@cachehit{#3}{#4}
\else
\poly@intersdoit
\fi
\else
\poly@intersdoit
\fi
}
\xydef@\poly@intersdoit{%
\edef\polyoldA@{\the\A@}\edef\polyoldB@{\the\B@}%
\def\poly@intersneg{}\def\poly@interspos{}%
\save@
\poly@setorigin
\def\zeroDivide@{\poly@badinterstrue}%
\let\poly@map@next=\poly@map
\poly@mapExpand\poly@interseg\poly@rest
\ifx\poly@intersneg\poly@empty
\poly@badinterstrue
\else
\ifx\poly@interspos\poly@empty
\poly@badinterstrue
\else
\poly@badintersfalse
\fi
\fi
\restore
\A@=\polyoldA@\B@=\polyoldB@
\ifpoly@badinters \else
\edef\tmp@{\poly@interspos,\poly@intersneg @}%
\expandafter\poly@intersfinish\tmp@
\fi
}
\xydef@\poly@intersfinish#1,#2,#3@{%
\X@c=#1\Y@c=#2\relax
\xdef\poly@cache{\the\d@X,\the\d@Y,#1,#2,#3}%
\poly@setEdge
}
\xydef@\poly@setorigin{\expandafter\poly@setorigin@\poly@list}
\xydef@\poly@setorigin@#1,#2;#3@{%
\X@origin=#1\advance\X@origin\X@c \Y@origin=#2\advance\Y@origin\Y@c%
\global\def\poly@rest{#3@}}
\xydef@\poly@interseg#1#2{%
\dimen@=#1\advance\dimen@\X@c \edef\poly@saveXcinters{\the\dimen@}%
\dimen@=#2\advance\dimen@\Y@c \edef\poly@saveYcinters{\the\dimen@}%
\save@
\poly@badintersfalse
\R@c=\poly@saveXcinters \advance\R@c -\X@origin
\U@c=\poly@saveYcinters \advance\U@c -\Y@origin
\intersect@
\A@=\X@c \B@=\Y@c
\restore
\ifpoly@badinters
\else
\poly@isonseg\X@origin\Y@origin\A@\B@\poly@saveXcinters\poly@saveYcinters
\ifpoly@badinters
\else
\poly@isonray\X@c\Y@c\A@\B@\X@p\Y@p
\ifpoly@badinters
\edef\poly@intersneg{\the\A@,\the\B@}%
\else
\edef\poly@interspos{\the\A@,\the\B@}%
\fi
\fi
\fi
\X@origin=\poly@saveXcinters\Y@origin=\poly@saveYcinters
}
\xydef@\polygonEdge@Dist{\xyerror@{Dist is not yet implemented for polygons}}
\newif\ifpoly@closedrange
\xydef@\poly@isinrange#1#2#3{%
\ifpoly@badinters \else
\dimen@=#1\dimen@i=#2\dimen@ii=#3\relax
\advance\dimen@ii -\dimen@ \advance\dimen@i -\dimen@
\ifdim\dimen@ii<0pt\relax
\ifdim\dimen@i>100\almostz@
\poly@badinterstrue
\fi
\dimen@i=-\dimen@i \dimen@ii=-\dimen@ii
\else
\ifdim\dimen@i<-100\almostz@\relax
\poly@badinterstrue
\fi
\fi
\ifpoly@closedrange
\advance\dimen@ii 100\almostz@
\ifdim\dimen@i>\dimen@ii
\poly@badinterstrue
\fi
\fi
\fi}
\xydef@\poly@isonseg#1#2#3#4#5#6{%
\poly@closedrangetrue
\poly@isinrange{#1}{#3}{#5}%
\poly@isinrange{#2}{#4}{#6}%
}
\xydef@\poly@isonray#1#2#3#4#5#6{%
\poly@closedrangefalse
\poly@isinrange{#1}{#3}{#5}%
\poly@isinrange{#2}{#4}{#6}%
}
\xydef@\polygonEdge@Under{%
\edef\polysaveA@under{\the\A@}\edef\polysaveB@under{\the\B@}%
\edef\poly@saveXcUnder{\the\X@c}\edef\poly@saveYcUnder{\the\Y@c}%
\polygonEdge@Inters
\ifpoly@badinters% p is very close to c
\Inside@true
\else
\A@=\X@c\B@=\Y@c
\X@c=\poly@saveXcUnder\Y@c=\poly@saveYcUnder
\poly@isonseg\X@c\Y@c\X@p\Y@p\A@\B@
\ifpoly@badinters \Inside@false \else \Inside@true\fi
\A@=\polysaveA@under\B@=\poly@saveB@under
\fi
}
\xydef@\polygonEdge@Inner{%
\enter@{\basefromthebase@ \pfromthep@ \DirectionfromtheDirection@}%
\L@c=\X@c \D@c=\Y@c
\polygonEdge@Inters
\ifpoly@badinters
\czeroEdge@
\else
\expandafter\poly@getinterspoints\poly@cache @%
\ifdim\X@c>\R@c
\L@c=\R@c \R@c=\X@c
\else
\L@c=\X@c
\fi
\X@c=0.5\L@c \advance\X@c 0.5\R@c \advance\R@c -\X@c \L@c=\R@c
\ifdim\Y@c>\U@c
\D@c=\U@c \U@c=\Y@c
\else
\D@c=\Y@c
\fi
\Y@c=0.5\D@c \advance\Y@c 0.5\U@c \advance\U@c -\Y@c \D@c=\U@c
\Edge@c={\rectangleEdge}%
\fi
\leave@
}
\xydef@\poly@getinterspoints#1,#2,#3,#4,#5,#6@{%
\R@c=#3\U@c=#4\X@c=#5\Y@c=#6}
\xydef@\polygonEdge@Outer{%
\enter@{\basefromthebase@ \pfromthep@ \DirectionfromtheDirection@}%
\czeroEdge@
\let\poly@map@next=\poly@map
\poly@mapExpand\poly@findextent\poly@list
\Edge@c={\rectangleEdge}%
\leave@
}
\xydef@\poly@findextent#1#2{%
\dimen@=#1\dimen@=\the\dimen@% it fails if I remove the second assign
\ifdim\dimen@>\R@c \R@c=\dimen@ \fi
\ifdim -\dimen@>\L@c \L@c=-\dimen@ \fi
\dimen@=#2\dimen@=\the\dimen@% it fails if I remove the second assign
\ifdim\dimen@>\U@c \U@c=\dimen@ \fi
\ifdim -\dimen@>\D@c \D@c=-\dimen@ \fi
}
\xydef@\Fshape@#1:{\def\whichframe@@{{#1}}\let\whichoptions@@=\empty
\DN@{{}}\ifx\whichframe@@\next@ \def\whichframe@@{{-}}\fi
\expandafter\xyFN@\expandafter\Fshape@whichframe\the\Edge@c}
\xydef@\Fshape@whichframe{%
\ifx\next\circleEdge
\edef\whichframe@@{[o]\whichframe@@}%
\DN@##1{\xyFN@\Fshape@i}%
\else
\ifx\next\polygonEdge
\edef\whichframe@@{[P]\whichframe@@}%
\DN@\polygonEdge##1@##2@{\xyFN@\Fshape@i}%
\else
\DN@##1{\xyFN@\Fshape@i}%
\fi\fi
\next@
}
\xyendinput