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+% \iffalse meta-comment
+%
+% Copyright 1993-2016
+% The LaTeX3 Project and any individual authors listed elsewhere
+% in this file.
+%
+% This file is part of the LaTeX base system.
+% -------------------------------------------
+%
+% It may be distributed and/or modified under the
+% conditions of the LaTeX Project Public License, either version 1.3c
+% of this license or (at your option) any later version.
+% The latest version of this license is in
+% https://www.latex-project.org/lppl.txt
+% and version 1.3c or later is part of all distributions of LaTeX
+% version 2005/12/01 or later.
+%
+% This file has the LPPL maintenance status "maintained".
+%
+% The list of all files belonging to the LaTeX base distribution is
+% given in the file `manifest.txt'. See also `legal.txt' for additional
+% information.
+%
+% The list of derived (unpacked) files belonging to the distribution
+% and covered by LPPL is defined by the unpacking scripts (with
+% extension .ins) which are part of the distribution.
+%
+% \fi
+%
+% \iffalse
+%%% From File: ltpictur.dtx
+%<*driver>
+% \fi
+ \ProvidesFile{ltpictur.dtx}
+ [2016/03/29 v1.1l LaTeX Kernel (Picture Mode)]
+% \iffalse
+\documentclass{ltxdoc}
+\GetFileInfo{ltpictur.dtx}
+\title{\filename}
+\date{\filedate}
+\author{%
+ Johannes Braams\and
+ David Carlisle\and
+ Alan Jeffrey\and
+ Leslie Lamport\and
+ Frank Mittelbach\and
+ Chris Rowley\and
+ Rainer Sch\"opf}
+\begin{document}
+ \MaintainedByLaTeXTeam{latex}
+ \maketitle
+ \DocInput{\filename}
+\end{document}
+%</driver>
+% \fi
+%
+%
+% \changes{v1.0g}{1995/05/07}{Use \cs{hb@xt@}}
+% \changes{v1.1a}{1995/05/19}{Support autoloading feature}
+% \changes{v1.1b}{1995/06/13}{Use \cs{ProvidesFile} in autoload}
+% \changes{v1.1d}{1995/07/12}{allow 2e commands in 209 mode. latex/1737}
+% \changes{v1.1e}{1995/10/03}{New autoload code}
+% \changes{v1.1h}{1999/04/15}{Replaced octal numbers, CAR}
+% \changes{v1.1k}{2015/02/21}{Removed autoload code}
+%
+% \section{Picture Mode}
+% Picture mode commands. In addition to the commands available in
+% \LaTeX2.09, This section adds the new |\qbezier| command for
+% drawing curves.
+%
+% \DescribeMacro{\qbezier}
+% |\qbezier|\oarg{N}\parg{AX,AY}\parg{BX,BY}\parg{CX,CY}
+% plots a quadratic Bezier curve from \parg{AX,AY} to \parg{CX,CY},
+% with \parg{BX,BY} as the third Bezier point, using $N+1$ points
+% equally spaced parametrically.
+% If $N = 0$ (the default value), then a sufficient number of points
+% are used to draw a connected curve--except that at most
+% $|\qbeziermax| + 1$ points are drawn. A ``point'' is a square of
+% side |\@wholewidth|.
+%
+% \DescribeMacro{\bezier}
+% In addition, to be compatible with the old |bezier| package, a
+% variant of this command, |\bezier|, is defined, in which the first
+% argument is not optional.
+%
+% \StopEventually{}
+%
+%
+% \changes{v0.1a}{1994/03/07}{Initial version, split from latex.dtx}
+% \changes{v0.1a}{1994/03/07}{Long lines wrapped to 72 columns}
+% \changes{v0.1b}{1994/04/24}
+% {Removed surplus spaces after \cs{hbox to } in several cases}
+% \changes{v0.1d}{1994/05/13}
+% {Removed surplus braces from \cs{@if..} constructions}
+% \changes{v0.1e}{1994/05/22}{Use new warning cmds}
+% \changes{v1.0f}{1994/11/17}
+% {\cs{@tempa} to \cs{reserved@a}}
+%
+% \begin{oldcomments}
+%
+% \unitlength = value of dimension argument
+% \@wholewidth = current line width
+% \@halfwidth = half of current line width
+% \@linefnt = font for drawing lines
+% \@circlefnt = font for drawing circles
+%
+% \linethickness{DIM} : Sets the width of horizontal and vertical lines
+% in a picture to DIM. Does not change width of slanted lines
+% or circles. Width of all lines reset by \thinlines and
+% \thicklines
+%
+% \picture(XSIZE,YSIZE)(XORG,YORG)
+% BEGIN
+% \@picht :=L YSIZE * \unitlength
+% box \@picbox :=
+% \hb@xt@ XSIZE * \unitlength
+% {\hskip -XORG * \unitlength
+% \lower YORG * \unitlength
+% \hbox{
+% \ignorespaces %% added 13 June 89
+% END
+%
+% \endpicture ==
+% BEGIN
+% } \hss }
+% height of \@picbox := \@picht
+% depth of \@picbox := 0
+% \mbox{\box\@picbox} %% change 26 Aug 91
+% END
+%
+% \put(X, Y){OBJ} ==
+% BEGIN
+% \@killglue
+% \raise Y * \unitlength \hb@xt@ 0pt { \hskip X * \unitlength
+% OBJ \hss }
+% \ignorespaces
+% END
+%
+% \multiput(X,Y)(DELX,DELY){N}{OBJ} ==
+% BEGIN
+% \@killglue
+% \@multicnt := N
+% \@xdim := X * \unitlength
+% \@ydim := Y * \unitlength
+% while \@multicnt > 0
+% do \raise \@ydim \hb@xt@ 0pt { \hskip \@xdim
+% OBJ \hss }
+% \@multicnt := \@multicnt - 1
+% \@xdim := \@xdim + DELX * \unitlength
+% \@ydim := \@ydim + DELY * \unitlength
+% od
+% \ignorespaces
+% END
+%
+% \shortstack[POS]{TEXT} : Makes a \vbox containing TEXT stacked as
+% a one-column array, positioned l, r or c as indicated by POS.
+%
+% \end{oldcomments}
+%
+% The `2ekernel' code ensures that a |\usepackage{autopict}| is
+% essentially ignored if a `full' format is being used that has
+% picture mode already in the format.
+% \begin{macrocode}
+%<2ekernel>\expandafter\let\csname ver@autopict.sty\endcsname\fmtversion
+% \end{macrocode}
+%
+% \begin{macro}{\@wholewidth}
+% \begin{macro}{\@halfwidth}
+% \begin{macrocode}
+%<*2ekernel>
+\newdimen\@wholewidth
+\newdimen\@halfwidth
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+%
+% \begin{macro}{\unitlength}
+% \begin{macrocode}
+\newdimen\unitlength \unitlength =1pt
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@picbox}
+% \begin{macro}{\@picht}
+% \begin{macrocode}
+\newbox\@picbox
+\newdimen\@picht
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+%
+% \begin{macro}{\picture}
+% \changes{v0.1c}{1994/04/28}{(DPC) Ignore spaces before (}
+% |#1| should be white space.
+% \begin{macro}{\pictur@}
+% \changes{v1.0h}{1995/05/12}{Macro added for latex/1355}
+% |#1| should be a |(| (eating any white space before the bracket),
+% \begin{macrocode}
+\long\gdef\picture#1{\pictur@#1}
+\gdef\pictur@(#1){%
+ \@ifnextchar({\@picture(#1)}{\@picture(#1)(0,0)}}
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+%
+% \begin{macro}{\@picture}
+% \begin{macrocode}
+\gdef\@picture(#1,#2)(#3,#4){%
+ \@picht#2\unitlength
+ \setbox\@picbox\hb@xt@#1\unitlength\bgroup
+ \hskip -#3\unitlength
+ \lower #4\unitlength\hbox\bgroup
+ \ignorespaces}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\endpicture}
+% \changes{LaTeX2.09}{1991/08/26}
+% {(RmS \& FMi) extra boxing level around \cs{@picbox}
+% to guard against unboxing in math mode
+% (proposed by John Hobby)}
+%
+% \begin{macrocode}
+\gdef\endpicture{%
+ \egroup\hss\egroup
+ \ht\@picbox\@picht\dp\@picbox\z@
+ \mbox{\box\@picbox}}
+% \end{macrocode}
+% \end{macro}
+%
+% In the definitions of |\put| and |\multiput|, |\hskip| was replaced by
+% |\kern| just in case arg |#3| = ``plus''. (Bug detected by Don Knuth.
+% changed 20 Jul 87).
+%
+% \begin{macrocode}
+\long\gdef\put(#1,#2)#3{%
+ \@killglue\raise#2\unitlength
+ \hb@xt@\z@{\kern#1\unitlength #3\hss}%
+ \ignorespaces}
+% \end{macrocode}
+%
+%
+% \begin{macro}{\multiput}
+% \changes{v0.1c}{1994/04/28}{(DPC) Ignore spaces between )(}
+% |#3| had better be a |(|.
+% \begin{macrocode}
+\gdef\multiput(#1,#2)#3{%
+ \@xdim #1\unitlength
+ \@ydim #2\unitlength
+ \@multiput(}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\multiput}
+% \changes{v0.1c}{1994/04/28}{(DPC) Macro added}
+% \begin{macrocode}
+\long\gdef\@multiput(#1,#2)#3#4{%
+ \@killglue\@multicnt #3\relax
+ \@whilenum \@multicnt >\z@\do
+ {\raise\@ydim\hb@xt@\z@{\kern\@xdim #4\hss}%
+ \advance\@multicnt\m@ne
+ \advance\@xdim#1\unitlength\advance\@ydim#2\unitlength}%
+ \ignorespaces}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@killglue}
+% \begin{macrocode}
+\gdef\@killglue{\unskip\@whiledim \lastskip >\z@\do{\unskip}}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\thinlines}
+% \begin{macro}{\thicklines}
+% \begin{macrocode}
+\gdef\thinlines{\let\@linefnt\tenln \let\@circlefnt\tencirc
+ \@wholewidth\fontdimen8\tenln \@halfwidth .5\@wholewidth}
+\gdef\thicklines{\let\@linefnt\tenlnw \let\@circlefnt\tencircw
+ \@wholewidth\fontdimen8\tenlnw \@halfwidth .5\@wholewidth}
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+%
+% \begin{macro}{\linethickness}
+% \begin{macrocode}
+\gdef\linethickness#1{\@wholewidth #1\relax \@halfwidth .5\@wholewidth}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\ishortstack}
+% \begin{macrocode}
+\gdef\shortstack{\@ifnextchar[\@shortstack{\@shortstack[c]}}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@ishortstack}
+% \begin{macrocode}
+\gdef\@shortstack[#1]{%
+ \leavevmode
+ \vbox\bgroup
+ \baselineskip-\p@\lineskip 3\p@
+ \let\mb@l\hss\let\mb@r\hss
+ \expandafter\let\csname mb@#1\endcsname\relax
+ \let\\\@stackcr
+ \@ishortstack}
+% \end{macrocode}
+% \end{macro}
+%
+%
+% \changes{LaTeX2.09}{1991/08/14}
+% {(RmS) inserted extra braces around entry for NFSS}
+% \changes{LaTeX2.09}{1993/11/03}
+% {(RmS) changed \cs{halign} to \cs{ialign} to initialize
+% \cs{tabskip} and \cs{everycr}}
+%
+% \begin{macro}{\@ishortstack}
+% \begin{macrocode}
+\gdef\@ishortstack#1{\ialign{\mb@l {##}\unskip\mb@r\cr #1\crcr}\egroup}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@stackcr}
+% \begin{macro}{\@ixstackcr}
+% \begin{macrocode}
+\gdef\@stackcr{\@ifstar\@ixstackcr\@ixstackcr}
+\gdef\@ixstackcr{\@ifnextchar[\@istackcr{\cr\ignorespaces}}
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+%
+% \begin{macro}{\@istackcr}
+% \begin{macrocode}
+\gdef\@istackcr[#1]{\cr\noalign{\vskip #1}\ignorespaces}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{oldcomments}
+% \line(X,Y){LEN} ==
+% BEGIN
+% \@xarg := X
+% \@yarg := Y
+% \@linelen := LEN * \unitlength
+% if \@xarg = 0
+% then \@vline
+% else if \@yarg = 0
+% then \@hline
+% else \@sline
+% if
+% if
+% END
+%
+% \@sline ==
+% BEGIN
+% if \@xarg < 0
+% then @negarg := T
+% \@xarg := -\@xarg
+% \@yyarg := -\@yarg
+% else @negarg := F
+% \@yyarg := \@yarg
+% fi
+% \@tempcnta := |\@yyarg|
+% if \@tempcnta > 6
+% then error: 'LATEX ERROR: Illegal \line or \vector argument.'
+% \@tempcnta := 0
+% fi
+% \box\@linechar := \hbox{\@linefnt \@getlinechar(\@xarg,\@yyarg) }
+% if \@yarg > 0 then \@upordown = \raise
+% \@clnht := 0
+% else \@upordown = \lower
+% \@clnht := height of \box\@linechar
+% fi
+% \@clnwd := width of \box\@linechar
+% if @negarg
+% then \hskip - width of \box\@linechar
+% \reserved@a == \hskip - 2* width of box \@linechar
+% else \reserved@a == \relax
+% fi
+% %% Put out integral number of line segments
+% while \@clnwd < \@linelen
+% do \@upordown \@clnht \copy\@linechar
+% \reserved@a
+% \@clnht := \@clnht + ht of \box\@linechar
+% \@clnwd := \@clnwd + width of \box\@linechar
+% od
+%
+% %% Put out last segment
+% \@clnht := \@clnht - height of \box\@linechar
+% \@clnwd := \@clnwd - width of \box\@linechar
+% \@tempdima := \@linelen - \@clnwd
+% \@tempdimb := \@tempdima - width of \box\@linechar
+% if @negarg then \hskip -\@tempdimb
+% else \hskip \@tempdimb
+% fi
+% \@tempdima := 1000 * \@tempdima
+% \@tempcnta := \@tempdima / width of \box\@linechar
+% \@tempdima := (\@tempcnta * ht of \box\@linechar)/1000
+% \@clnht := \@clnht + \@tempdima
+% if \@linelen < width of box\@linechar
+% then \hskip width of box\@linechar
+% else \hbox{\@upordown \@clnht \copy\@linechar}
+% fi
+% END
+%
+% \@hline ==
+% BEGIN
+% if \@xarg < 0 then \hskip -\@linelen \fi
+% \vrule height \@halfwidth depth \@halfwidth width \@linelen
+% if \@xarg < 0 then \hskip -\@linelen \fi
+% END
+%
+% \@vline == if \@yarg < 0 \@downline else \@upline fi
+%
+%
+% \@getlinechar(X,Y) ==
+% BEGIN
+% \@tempcnta := 8*X - 9
+% if Y > 0
+% then \@tempcnta := \@tempcnta + Y
+% else \@tempcnta := \@tempcnta - Y + 64
+% fi
+% \char\@tempcnta
+% END
+%
+% \vector(X,Y){LEN} ==
+% BEGIN
+% \@xarg := X
+% \@yarg := Y
+% \@linelen := LEN * \unitlength
+% if \@xarg = 0
+% then \@vvector
+% else if \@yarg = 0
+% then \@hvector
+% else \@svector
+% if
+% if
+% END
+%
+% \@hvector ==
+% BEGIN
+% \@hline
+% {\@linefnt if \@xarg < 0 then \@getlarrow(1,0)
+% else \@getrarrow(1,0)
+% fi}
+% END
+%
+% \@vvector == if \@yarg < 0 \@downvector else \@upvector fi
+%
+% \@svector ==
+% BEGIN
+% \@sline
+% \@tempcnta := |\@yarg|
+% if \@tempcnta < 5
+% then \hskip - width of \box\@linechar
+% \@upordown \@clnht \hbox
+% {\@linefnt
+% if @negarg then \@getlarrow(\@xarg,\@yyarg)
+% else \@getrarrow(\@xarg,\@yyarg)
+% fi }
+% else error: 'LATEX ERROR: Illegal \line or \vector argument.'
+% fi
+% END
+%
+% \@getlarrow(X,Y) ==
+% BEGIN
+% if Y = 0
+% then \@tempcnta := '33
+% else \@tempcnta := 16 * X - 9
+% \@tempcntb := 2 * Y
+% if \@tempcntb > 0
+% then \@tempcnta := \@tempcnta + \@tempcntb
+% else \@tempcnta := \@tempcnta - \@tempcntb + 64
+% fi
+% fi
+% \char\@tempcnta
+% END
+%
+% \@getrarrow(X,Y) ==
+% BEGIN
+% \@tempcntb := |Y|
+% case of \@tempcntb
+% 0 : \@tempcnta := '55
+% 1 : if X < 3
+% then \@tempcnta := 24*X - 6
+% else if X = 3
+% then \@tempcnta := 49
+% else \@tempcnta := 58 fi
+% fi
+% 2 : if X < 3
+% then \@tempcnta := 24*X - 3
+% else \@tempcnta := 51 % X must = 3
+% fi
+% 3 : \@tempcnta := 16*X - 2
+% 4 : \@tempcnta := 16*X + 7
+% endcase
+% if Y < 0
+% then \@tempcnta := \@tempcnta + 64
+% fi
+% \char\@tempcnta
+% END
+% \end{oldcomments}
+%
+% \begin{macro}{\if@negarg}
+% \begin{macrocode}
+\newif\if@negarg
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\line}
+% \begin{macrocode}
+\gdef\line(#1,#2)#3{\@xarg #1\relax \@yarg #2\relax
+ \@linelen #3\unitlength
+ \ifdim\@linelen<\z@\@badlinearg\else
+ \ifnum\@xarg =\z@ \@vline
+ \else \ifnum\@yarg =\z@ \@hline \else \@sline\fi
+ \fi
+ \fi}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@sline}
+% \begin{macrocode}
+\gdef\@sline{%
+ \ifnum\@xarg<\z@ \@negargtrue \@xarg -\@xarg \@yyarg -\@yarg
+ \else \@negargfalse \@yyarg \@yarg \fi
+\ifnum \@yyarg >\z@ \@tempcnta\@yyarg \else \@tempcnta -\@yyarg \fi
+\ifnum\@tempcnta>6 \@badlinearg\@tempcnta\z@ \fi
+\ifnum\@xarg>6 \@badlinearg\@xarg \@ne \fi
+\setbox\@linechar\hbox{\@linefnt\@getlinechar(\@xarg,\@yyarg)}%
+% \end{macrocode}
+% If we have something like |\line(5,5){30}| the |\@linechar| will
+% not contain a char and later on we will end in an infinite loop.
+% So we check the width of the box and put in something as an
+% emergency fix if necessary.
+% \changes{v1.1k}{2003/08/27}{check for \cs{@linechar} being empty pr/3570}
+% \begin{macrocode}
+\ifdim\wd\@linechar=\z@
+ \setbox\@linechar\hbox{.}%
+ \@badlinearg
+\fi
+\ifnum \@yarg >\z@ \let\@upordown\raise \@clnht\z@
+ \else\let\@upordown\lower \@clnht \ht\@linechar\fi
+\@clnwd \wd\@linechar
+\if@negarg
+ \hskip -\wd\@linechar \def\reserved@a{\hskip -2\wd\@linechar}%
+\else
+ \let\reserved@a\relax
+\fi
+\@whiledim \@clnwd <\@linelen \do
+ {\@upordown\@clnht\copy\@linechar
+ \reserved@a
+ \advance\@clnht \ht\@linechar
+ \advance\@clnwd \wd\@linechar}%
+\advance\@clnht -\ht\@linechar
+\advance\@clnwd -\wd\@linechar
+\@tempdima\@linelen\advance\@tempdima -\@clnwd
+\@tempdimb\@tempdima\advance\@tempdimb -\wd\@linechar
+\if@negarg \hskip -\@tempdimb \else \hskip \@tempdimb \fi
+\multiply\@tempdima \@m
+\@tempcnta \@tempdima
+\@tempdima \wd\@linechar \divide\@tempcnta \@tempdima
+\@tempdima \ht\@linechar \multiply\@tempdima \@tempcnta
+\divide\@tempdima \@m
+\advance\@clnht \@tempdima
+\ifdim \@linelen <\wd\@linechar
+ \hskip \wd\@linechar
+% \end{macrocode}
+% Warn if line gets so short that it can't be printed.
+% \changes{v1.1g}{1997/09/15}{Warn if lines become invisible pr/2524}
+% But don't warn if it is exactly zero since that was probably
+% deliberate (e.g., to get a vector head only).
+% \changes{v1.1j}{2001/06/04}{Don't warn for exactly zero pr/3318}
+% \begin{macrocode}
+ \ifdim \@linelen = \z@
+ \else
+ \@picture@warn
+ \fi
+ \else\@upordown\@clnht\copy\@linechar\fi}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@hline}
+% \begin{macrocode}
+\gdef\@hline{\ifnum \@xarg <\z@ \hskip -\@linelen \fi
+\vrule \@height \@halfwidth \@depth \@halfwidth \@width \@linelen
+\ifnum \@xarg <\z@ \hskip -\@linelen \fi}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@getlinechar}
+% \begin{macrocode}
+\gdef\@getlinechar(#1,#2){\@tempcnta#1\relax\multiply\@tempcnta 8%
+ \advance\@tempcnta -9\ifnum #2>\z@ \advance\@tempcnta #2\relax\else
+ \advance\@tempcnta -#2\relax\advance\@tempcnta 64 \fi
+ \char\@tempcnta}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\vector}
+% \begin{macrocode}
+\gdef\vector(#1,#2)#3{\@xarg #1\relax \@yarg #2\relax
+ \@tempcnta \ifnum\@xarg<\z@ -\@xarg\else\@xarg\fi
+ \ifnum\@tempcnta<5\relax
+ \@linelen #3\unitlength
+ \ifdim\@linelen<\z@\@badlinearg\else
+ \ifnum\@xarg =\z@ \@vvector
+ \else \ifnum\@yarg =\z@ \@hvector \else \@svector\fi
+ \fi
+ \fi
+ \else\@badlinearg\fi}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@hvector}
+% \begin{macrocode}
+\gdef\@hvector{\@hline\hb@xt@\z@{\@linefnt
+ \ifnum \@xarg <\z@ \@getlarrow(1,0)\hss\else
+ \hss\@getrarrow(1,0)\fi}}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@vvector}
+% \begin{macrocode}
+\gdef\@vvector{\ifnum \@yarg <\z@ \@downvector \else \@upvector \fi}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@svector}
+% \begin{macrocode}
+\gdef\@svector{\@sline
+ \@tempcnta\@yarg \ifnum\@tempcnta <\z@ \@tempcnta -\@tempcnta\fi
+ \ifnum\@tempcnta <5%
+ \hskip -\wd\@linechar
+ \@upordown\@clnht \hbox{\@linefnt \if@negarg
+ \@getlarrow(\@xarg,\@yyarg)\else \@getrarrow(\@xarg,\@yyarg)\fi}%
+ \else\@badlinearg\fi}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@getlarrow}
+% \changes{v1.1h}{1999/04/15}{Replaced octal number, CAR}
+% \begin{macrocode}
+\gdef\@getlarrow(#1,#2){\ifnum #2=\z@ \@tempcnta 27 % '33
+ \else
+ \@tempcnta #1\relax\multiply\@tempcnta \sixt@@n
+ \advance\@tempcnta -9 \@tempcntb #2\relax\multiply\@tempcntb \tw@
+ \ifnum \@tempcntb >\z@ \advance\@tempcnta \@tempcntb
+ \else\advance\@tempcnta -\@tempcntb\advance\@tempcnta 64
+ \fi\fi\char\@tempcnta}
+% \end{macrocode}
+% \end{macro}
+%
+% \changes{v1.1h}{1999/04/15}{Replaced octal number, CAR}
+% \begin{macro}{\@getrarrow}
+% \begin{macrocode}
+\gdef\@getrarrow(#1,#2){\@tempcntb #2\relax
+\ifnum\@tempcntb <\z@ \@tempcntb -\@tempcntb\relax\fi
+\ifcase \@tempcntb\relax \@tempcnta 45 % '55
+\or
+\ifnum #1<\thr@@ \@tempcnta #1\relax\multiply\@tempcnta
+24\advance\@tempcnta -6 \else \ifnum #1=\thr@@ \@tempcnta 49
+\else\@tempcnta 58 \fi\fi\or
+\ifnum #1<\thr@@ \@tempcnta=#1\relax\multiply\@tempcnta
+24\advance\@tempcnta -\thr@@ \else \@tempcnta 51 \fi\or
+\@tempcnta #1\relax\multiply\@tempcnta
+\sixt@@n \advance\@tempcnta -\tw@ \else
+\@tempcnta #1\relax\multiply\@tempcnta
+\sixt@@n \advance\@tempcnta 7 \fi\ifnum #2<\z@ \advance\@tempcnta 64 \fi
+\char\@tempcnta}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@vline}
+% \begin{macrocode}
+\gdef\@vline{\ifnum \@yarg <\z@ \@downline \else \@upline\fi}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@upline}
+% \begin{macrocode}
+\gdef\@upline{%
+ \hb@xt@\z@{\hskip -\@halfwidth \vrule \@width \@wholewidth
+ \@height \@linelen \@depth \z@\hss}}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@downline}
+% \begin{macrocode}
+\gdef\@downline{%
+ \hb@xt@\z@{\hskip -\@halfwidth \vrule \@width \@wholewidth
+ \@height \z@ \@depth \@linelen \hss}}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@upvector}
+% \changes{v1.1h}{1999/04/15}{Replaced octal number, CAR}
+% \changes{v1.1i}{2000/01/15}{Removed space at end-of-line, CAR}
+% \begin{macrocode}
+\gdef\@upvector{\@upline\setbox\@tempboxa\hbox{\@linefnt\char 54}% '66
+ \raise \@linelen \hb@xt@\z@{\lower \ht\@tempboxa\box\@tempboxa\hss}}
+% \end{macrocode}
+% \end{macro}
+%
+% \changes{v1.1h}{1999/04/15}{Replaced octal number, CAR}
+% \begin{macro}{\@downvector}
+% \begin{macrocode}
+\gdef\@downvector{\@downline\lower \@linelen
+ \hb@xt@\z@{\@linefnt\char 63 % '77
+ \hss}}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{oldcomments}
+% \dashbox{D}(X,Y) ==
+% BEGIN
+% leave vertical mode
+% \hb@xt@ 0pt {
+% \baselineskip := 0pt
+% \lineskip := 0pt
+% %% HORIZONTAL DASHES
+% \@dashdim := X * \unitlength
+% \@dashcnt := \@dashdim + 200 % to prevent roundoff error
+% \@dashdim := D * \unitlength
+% \@dashcnt := \@dashcnt / \@dashdim
+% if \@dashcnt is odd
+% then \@dashdim := 0pt
+% \@dashcnt := (\@dashcnt + 1) / 2
+% else \@dashdim := \@dashdim / 2
+% \@dashcnt := \@dashcnt / 2 - 1
+% \box\@dashbox := \hbox{\vrule height \@halfwidth
+% depth \@halfwidth width \@dashdim}
+% \put(0,0){\copy\@dashbox}
+% \put(0,Y){\copy\@dashbox}
+% \put(X,0){\hskip -\@dashdim\copy\@dashbox}
+% \put(X,Y){\hskip -\@dashdim\box\@dashbox}
+% \@dashdim := 3 * \@dashdim
+% fi
+% \box\@dashbox := \hbox{\vrule height \@halfwidth
+% depth \@halfwidth width D * \unitlength
+% \hskip D * \unitlength}
+% \@tempcnta := 0
+% \put(0,0){\hskip \@dashdim
+% while \@tempcnta < \@dascnt
+% do \copy\@dashbox
+% \@tempcnta := \@tempcnta + 1
+% od
+% }
+% \@tempcnta := 0
+% put(0,Y){\hskip \@dashdim
+% while \@tempcnta < \@dascnt
+% do \copy\@dashbox
+% \@tempcnta := \@tempcnta + 1
+% od
+% }
+%
+% %% vertical dashes
+% \@dashdim := Y * \unitlength
+% \@dashcnt := \@dashdim + 200 % to prevent roundoff error
+% \@dashdim := D * \unitlength
+% \@dashcnt := \@dashcnt / \@dashdim
+% if \@dashcnt is odd
+% then \@dashdim := 0pt
+% \@dashcnt := (\@dashcnt + 1) / 2
+% else \@dashdim := \@dashdim / 2
+% \@dashcnt := \@dashcnt / 2 - 1
+% \box\@dashbox := \hbox{\hskip -\@halfwidth
+% \vrule width \@wholewidth
+% height \@dashdim }
+% \put(0,0){\copy\@dashbox}
+% \put(X,0){\copy\@dashbox}
+% \put(0,Y){\lower\@dashdim\copy\@dashbox}
+% \put(X,Y){\lower\@dashdim\copy\@dashbox}
+% \@dashdim := 3 * \@dashdim
+% fi
+% \box\@dashbox := \hbox{\vrule width \@wholewidth
+% height D * \unitlength }
+% \@tempcnta := 0
+% put(0,0){\hskip -\halfwidth
+% \vbox{while \@tempcnta < \@dashcnt
+% do \vskip D*\unitlength
+% \copy\@dashbox
+% \@tempcnta := \@tempcnta + 1
+% od
+% \vskip \@dashdim
+% } }
+% \@tempcnta := 0
+% put(X,0){\hskip -\halfwidth
+% \vbox{while \@tempcnta < \@dashcnt
+% do \vskip D*\unitlength
+% \copy\@dashbox
+% \@tempcnta := \@tempcnta + 1
+% od
+% \vskip \@dashdim
+% }
+% }
+% } % END DASHES
+%
+% \@imakepicbox(X,Y)
+% END
+% \end{oldcomments}
+%
+% \begin{macro}{\dashbox}
+% \begin{macrocode}
+\gdef\dashbox#1(#2,#3){\leavevmode\hb@xt@\z@{\baselineskip \z@skip
+\lineskip \z@skip
+\@dashdim #2\unitlength
+\@dashcnt \@dashdim \advance\@dashcnt 200
+\@dashdim #1\unitlength\divide\@dashcnt \@dashdim
+\ifodd\@dashcnt\@dashdim \z@
+\advance\@dashcnt \@ne \divide\@dashcnt \tw@
+\else \divide\@dashdim \tw@ \divide\@dashcnt \tw@
+\advance\@dashcnt \m@ne
+\setbox\@dashbox \hbox{\vrule \@height \@halfwidth \@depth \@halfwidth
+\@width \@dashdim}\put(0,0){\copy\@dashbox}%
+\put(0,#3){\copy\@dashbox}%
+\put(#2,0){\hskip-\@dashdim\copy\@dashbox}%
+\put(#2,#3){\hskip-\@dashdim\box\@dashbox}%
+\multiply\@dashdim \thr@@
+\fi
+\setbox\@dashbox \hbox{\vrule \@height \@halfwidth \@depth \@halfwidth
+\@width #1\unitlength\hskip #1\unitlength}\@tempcnta\z@
+\put(0,0){\hskip\@dashdim \@whilenum \@tempcnta <\@dashcnt
+\do{\copy\@dashbox\advance\@tempcnta \@ne }}\@tempcnta\z@
+\put(0,#3){\hskip\@dashdim \@whilenum \@tempcnta <\@dashcnt
+\do{\copy\@dashbox\advance\@tempcnta \@ne }}%
+\@dashdim #3\unitlength
+\@dashcnt \@dashdim \advance\@dashcnt 200
+\@dashdim #1\unitlength\divide\@dashcnt \@dashdim
+\ifodd\@dashcnt \@dashdim \z@
+\advance\@dashcnt \@ne \divide\@dashcnt \tw@
+\else
+\divide\@dashdim \tw@ \divide\@dashcnt \tw@
+\advance\@dashcnt \m@ne
+\setbox\@dashbox\hbox{\hskip -\@halfwidth
+\vrule \@width \@wholewidth
+\@height \@dashdim}\put(0,0){\copy\@dashbox}%
+\put(#2,0){\copy\@dashbox}%
+\put(0,#3){\lower\@dashdim\copy\@dashbox}%
+\put(#2,#3){\lower\@dashdim\copy\@dashbox}%
+\multiply\@dashdim \thr@@
+\fi
+\setbox\@dashbox\hbox{\vrule \@width \@wholewidth
+\@height #1\unitlength}\@tempcnta\z@
+\put(0,0){\hskip -\@halfwidth \vbox{\@whilenum \@tempcnta <\@dashcnt
+\do{\vskip #1\unitlength\copy\@dashbox\advance\@tempcnta \@ne }%
+\vskip\@dashdim}}\@tempcnta\z@
+\put(#2,0){\hskip -\@halfwidth \vbox{\@whilenum \@tempcnta<\@dashcnt
+\do{\vskip #1\unitlength\copy\@dashbox\advance\@tempcnta \@ne }%
+\vskip\@dashdim}}}\@makepicbox(#2,#3)}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{oldcomments}
+% CIRCLES AND OVALS
+%
+% USER COMMANDS:
+%
+% \circle{D} : Produces the circle with the diameter as close as
+% possible to D * \unitlength. \put(X,Y){\circle{D}}
+% puts the circle with its center at (X,Y).
+%
+% \oval(X,Y) : Makes an oval as round as possible that fits in the
+% rectangle of width X * \unitlength and height
+% Y * \unitlength. The reference point is the center.
+%
+% \oval(X,Y)[POS] : Save as \oval(X,Y) except it draws only the
+% half or quadrant of the oval indicated by POS.
+% E.G., \oval(X,Y)[t] draws just the top half
+% and \oval(X,Y)[br] draws just the bottom right
+% quadrant. In all cases, the reference point is
+% the same as the unqualified \oval(X,Y) command.
+%
+% \@ovvert {DELTA1} {DELTA2} : Makes a vbox containing either the left
+% side or the right side of the oval being constructed. The baseline
+% will coincide with the outside bottom edge of the oval; the left
+% side of the box will coincide with the left edge of the vertical
+% rule. The width of the box will be \@tempdima.
+% DELTA1 and DELTA2 are added to the character number in \@tempcnta
+% to get the characters for the top and bottom quarter circle pieces.
+%
+% \@ovhorz : Makes an hbox containing the straight rule for either the
+% top or the bottom of the oval being constructed. The baseline
+% will coincide with bottom edge of the rule; the left side of
+% the box will coincide with the left side of the oval.
+% The width of the box will be \@ovxx.
+%
+% \@getcirc {DIAM} : Sets \@tempcnta to the character number
+% of the top-right quarter circle with the largest
+% diameter less than or equal to DIAM.
+% Sets \@tempboxa to an hbox containing that character.
+% Sets \@tempdima to \wd \@tempboxa, which is the distance
+% from the circle's left outside edge to its right
+% inside edge.
+% (These characters are like those described in the
+% TeXbook, pp. 389-90.)
+%
+% \@getcirc {DIAM} ==
+% BEGIN
+% \@tempcnta := integer coercion of (DIAM + 2pt)
+% + 2pt added 1 Nov 88
+% \@tempcnta := \@tempcnta / integer coercion of 4pt
+% if \@tempcnta > 10
+% then \@tempcnta := 10 fi
+% if \@tempcnta > 0
+% then \@tempcnta := \@tempcnta-1
+% else LaTeX Warning: Oval too small.
+% fi
+% \@tempcnta := 4 * \@tempcnta
+% \@tempboxa := \hbox{\@circlefnt \char \@tempcnta}
+% \@tempdima := \wd \@tempboxa
+% END
+%
+% \@put{X}{Y}{OBJ} ==
+% BEGIN
+% \raise Y \hb@xt@ 0pt{\hskip X OBJ \hss}
+% END
+%
+% \@oval(X,Y)[POS] ==
+% BEGIN
+% \begingroup
+% \boxmaxdepth := \maxdimen
+% @ovt := @ovb := @ovl := @ovr := true
+% for all E in POS
+% do @ovE := false od
+% \@ovxx := X * \unitlength
+% \@ovyy := Y * \unitlength
+% \@tempdimb := min(\@ovxx,\@ovyy)
+% \@getcirc{\@tempdimb-2pt} %% "-2pt" added 7 Dec 89
+% \@ovro := \ht \@tempboxa
+% \@ovri := \dp \@tempboxa
+% \@ovdx := \@ovxx - \@tempdima
+% \@ovdx := \@ovdx/2
+% \@ovdy := \@ovyy - \@tempdima
+% \@ovdy := \@ovyy/2
+% \@circlefnt
+% \@tempboxa :=
+% \hbox{
+% if @ovr
+% then \@ovvert{3}{2} \kern -\@tempdima
+% fi
+% if @ovl
+% then \kern \@ovxx \@ovvert{0}{1} \kern -\@tempdima
+% \kern -\@ovxx
+% fi
+% if @ovt
+% then \@ovhorz \kern -\@ovxx
+% fi
+% if @ovb
+% then \raise \@ovyy \@ovhorz
+% fi
+% }
+% \@ovdx := \@ovdx + \@ovro
+% \@ovdy := \@ovdy + \@ovro
+% \ht\@tempboxa := \dp\@tempboxa := 0
+% \@put{-\@ovdx}{-\@ovdy}{\box\@tempboxa}
+% \endgroup
+% END
+%
+% \@ovvert {DELTA1} {DELTA2} ==
+% BEGIN
+% \vbox to \@ovyy {
+% if @ovb
+% then \@tempcntb := \@tempcnta + DELTA1
+% \kern -\@ovro
+% \hbox { \char \@tempcntb }
+% \nointerlineskip
+% else \kern \@ovri \kern \@ovdy
+% fi
+% \leaders \vrule width \@wholewidth \vfil
+% \nointerlineskip
+% if @ovt
+% then \@tempcntb := \@tempcnta + DELTA2
+% \hbox { \char \@tempcntb }
+% else \kern \@ovdy \kern \@ovro
+% fi
+% }
+% END
+%
+% \@ovhorz ==
+% BEGIN
+% \hb@xt@ \@ovxx{
+% \kern \@ovro
+% if @ovr
+% then
+% else \kern \@ovdx
+% fi
+% \leaders \hrule height \@wholewidth \hfil
+% if @ovl
+% then
+% else \kern \@ovdx
+% fi
+% \kern \@ovri
+% }
+% END
+%
+% \circle{DIAM} ==
+% BEGIN
+% \begingroup
+% \boxmaxdepth := maxdimen
+% \@tempdimb := DIAM *\unitlength
+% if \@tempdimb > 15.5pt
+% then \@getcirc{\@tempdimb}
+% \@ovro := \ht \@tempboxa
+% \@tempboxa := \hbox{
+% \@circlefnt
+% \@tempcnta := \@tempcnta + 2
+% \char \@tempcnta
+% \@tempcnta := \@tempcnta - 1
+% \char \@tempcnta
+% \kern -2\@tempdima
+% \@tempcnta := \@tempcnta + 2
+% \raise \@tempdima \hbox { \char \@tempcnta }
+% \raise \@tempdima \box\@tempboxa
+% }
+% \ht\@tempboxa := \dp\@tempboxa := 0
+% \@put{-\@ovro}{-\@ovro}{\@tempboxa}
+% else
+% \@circ{\@tempdimb}{96}
+% fi
+% \endgroup
+% END
+%
+% \circle*{DIAM} == \@dot{DIAM} == \@circ{DIAM*\unitlength}{112}
+%
+% \@circ{DIAM}{CHAR} ==
+% BEGIN
+% \@tempcnta := integer coercion of (DIAM + .5pt)/1pt.
+% if \@tempcnta > 15 then \@tempcnta := 15 fi
+% if \@tempcnta > 1 then \@tempcnta := \@tempcnta - 1 fi
+% \@tempcnta := \@tempcnta + CHAR
+% \@circlefnt
+% \char \@tempcnta
+% END
+% \end{oldcomments}
+%
+%
+% \begin{macro}{\if@ovt}
+% \begin{macro}{\if@ovb}
+% \begin{macro}{\if@ovl}
+% \begin{macro}{\if@ovr}
+% If producing the Top Bottom Left or Right of an oval.
+% \begin{macrocode}
+\newif\if@ovt
+\newif\if@ovb
+\newif\if@ovl
+\newif\if@ovr
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+% \end{macro}
+% \end{macro}
+%
+%
+% \begin{macro}{\@ovxx}
+% \begin{macro}{\@ovyy}
+% \begin{macro}{\@ovdx}
+% \begin{macro}{\@ovdy}
+% \begin{macro}{\@ovro}
+% \begin{macro}{\@ovri}
+% \begin{macrocode}
+\newdimen\@ovxx
+\newdimen\@ovyy
+\newdimen\@ovdx
+\newdimen\@ovdy
+\newdimen\@ovro
+\newdimen\@ovri
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+% \end{macro}
+% \end{macro}
+% \end{macro}
+% \end{macro}
+%
+%
+% |\advance\@tempdima 2pt\relax| added 1 Nov 88 to fix bug in which
+% size of drawn circle not monotonic function of argument of |\circle|,
+% caused by different rounding for dimensions of large and small
+% circles.
+%
+%
+% \begin{macro}{\@getcirc}
+% \changes{v1.1j}{2003/12/30}{issue warning if circle size can't be met pr/3473}
+% \begin{macrocode}
+\gdef\@getcirc#1{\@tempdima #1\relax \advance\@tempdima 2\p@
+ \@tempcnta\@tempdima
+ \@tempdima 4\p@ \divide\@tempcnta\@tempdima
+ \ifnum \@tempcnta >10\relax
+ \@picture@warn
+ \@tempcnta 10\relax
+ \fi
+ \ifnum \@tempcnta >\z@ \advance\@tempcnta\m@ne
+% \end{macrocode}
+% Warn if requirements for oval or circle can't be met.
+% \changes{v1.1g}{1997/09/15}{Warn if lines become invisible pr/2524}
+% \begin{macrocode}
+ \else \@picture@warn \fi
+ \multiply\@tempcnta 4\relax
+ \setbox \@tempboxa \hbox{\@circlefnt
+ \char \@tempcnta}\@tempdima \wd \@tempboxa}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@picture@warn}
+% Generic warning for lines, vectors (used in |\@sline|) and
+% oval or circle (used in |\@getcirc|) are not available at
+% right size.
+% \changes{v1.1g}{1997/09/15}{Macro added pr/2524}
+% \begin{macrocode}
+\def\@picture@warn{\@latex@warning{%
+ \string\oval, \string\circle, or \string\line\space
+ size unavailable}}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@put}
+% \begin{macrocode}
+\gdef\@put#1#2#3{\raise #2\hb@xt@\z@{\hskip #1#3\hss}}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\oval}
+% \begin{macrocode}
+\gdef\oval(#1,#2){\@ifnextchar[{\@oval(#1,#2)}{\@oval(#1,#2)[]}}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macrocode}
+%</2ekernel>
+%<latexrelease>\IncludeInRelease{2016/03/31}%
+%<latexrelease> {\@ovhlinetrue}%
+%<latexrelease> {Avoid almost zero length leaders}%
+%<*2ekernel|latexrelease>
+% \end{macrocode}
+%
+% \begin{macro}{\if@ovvline}
+% \changes{v1.1l}{2016/03/29}{macro added (latex/4452)}
+% \begin{macro}{\if@ovhline}
+% \changes{v1.1l}{2016/03/29}{macro added (latex/4452)}
+% Tests whether horizontal or vertical lines are needed.
+% \begin{macrocode}
+\newif\if@ovvline \@ovvlinetrue
+\newif\if@ovhline \@ovhlinetrue
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+%
+% \begin{macro}{\@oval}
+% \begin{macrocode}
+\gdef\@oval(#1,#2)[#3]{\begingroup\boxmaxdepth \maxdimen
+ \@ovttrue \@ovbtrue \@ovltrue \@ovrtrue
+% \end{macrocode}
+% \changes{v1.1l}{2016/03/29}{initialise tests}
+% \begin{macrocode}
+ \@ovvlinefalse \@ovhlinefalse
+% \end{macrocode}
+% \begin{macrocode}
+ \@tfor\reserved@a :=#3\do{\csname @ov\reserved@a false\endcsname}%
+ \@ovxx #1\unitlength
+ \@ovyy #2\unitlength
+% \end{macrocode}
+% \changes{v1.1l}{2016/03/29}{add setting of line tests}
+% \begin{macrocode}
+ \@tempdimb \ifdim \@ovyy >\@ovxx \@ovxx \@ovvlinetrue
+ \else \@ovyy \ifdim \@ovyy =\@ovxx \else \@ovhlinetrue \fi\fi
+% \end{macrocode}
+% \begin{macrocode}
+ \advance \@tempdimb -2\p@
+ \@getcirc \@tempdimb
+ \@ovro \ht\@tempboxa \@ovri \dp\@tempboxa
+ \@ovdx\@ovxx \advance\@ovdx -\@tempdima \divide\@ovdx \tw@
+ \@ovdy\@ovyy \advance\@ovdy -\@tempdima \divide\@ovdy \tw@
+% \end{macrocode}
+% \changes{v1.1l}{2016/03/29}{add setting of line tests}
+% \begin{macrocode}
+ \ifdim \@ovdx >\z@ \@ovhlinetrue \fi
+ \ifdim \@ovdy >\z@ \@ovvlinetrue \fi
+% \end{macrocode}
+% \begin{macrocode}
+ \@circlefnt \setbox\@tempboxa
+ \hbox{\if@ovr \@ovvert32\kern -\@tempdima \fi
+ \if@ovl \kern \@ovxx \@ovvert01\kern -\@tempdima \kern -\@ovxx \fi
+ \if@ovt \@ovhorz \kern -\@ovxx \fi
+ \if@ovb \raise \@ovyy \@ovhorz \fi}\advance\@ovdx\@ovro
+ \advance\@ovdy\@ovro \ht\@tempboxa\z@ \dp\@tempboxa\z@
+ \@put{-\@ovdx}{-\@ovdy}{\box\@tempboxa}%
+ \endgroup}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@ovvert}
+% \begin{macrocode}
+\gdef\@ovvert#1#2{\vbox to\@ovyy{%
+ \if@ovb \@tempcntb \@tempcnta \advance \@tempcntb #1\relax
+ \kern -\@ovro \hbox{\char \@tempcntb}\nointerlineskip
+ \else \kern \@ovri \kern \@ovdy \fi
+% \end{macrocode}
+% \changes{v1.1l}{2016/03/29}
+% {use glue not leaders if vertical line not required}
+% \begin{macrocode}
+ \if@ovvline \leaders\vrule \@width \@wholewidth \fi
+% \end{macrocode}
+% \begin{macrocode}
+ \vfil \nointerlineskip
+ \if@ovt \@tempcntb \@tempcnta \advance \@tempcntb #2\relax
+ \hbox{\char \@tempcntb}%
+ \else \kern \@ovdy \kern \@ovro \fi}}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@ovhorz}
+% \begin{macrocode}
+\gdef\@ovhorz{\hb@xt@\@ovxx{\kern \@ovro
+ \if@ovr \else \kern \@ovdx \fi
+% \end{macrocode}
+% \changes{v1.1l}{2016/03/29}
+% {use glue not leaders if horizontal line not required}
+% \begin{macrocode}
+ \if@ovhline \leaders \hrule \@height \@wholewidth \fi
+% \end{macrocode}
+% \begin{macrocode}
+ \hfil
+ \if@ovl \else \kern \@ovdx \fi
+ \kern \@ovri}}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macrocode}
+%</2ekernel|latexrelease>
+%<latexrelease>\EndIncludeInRelease
+%<latexrelease>\IncludeInRelease{0000/00/00}%
+%<latexrelease> {\@ovhlinetrue}%
+%<latexrelease> {Avoid almost zero length leaders}%
+%<latexrelease>\let\if@ovvline\@undefined
+%<latexrelease>\let\if@ovhline\@undefined
+%<latexrelease>\gdef\@oval(#1,#2)[#3]{\begingroup\boxmaxdepth \maxdimen
+%<latexrelease> \@ovttrue \@ovbtrue \@ovltrue \@ovrtrue
+%<latexrelease> \@tfor\reserved@a :=#3\do
+%<latexrelease> {\csname @ov\reserved@a false\endcsname}%
+%<latexrelease> \@ovxx #1\unitlength
+%<latexrelease> \@ovyy #2\unitlength
+%<latexrelease> \@tempdimb \ifdim \@ovyy >\@ovxx \@ovxx\else \@ovyy \fi
+%<latexrelease> \advance \@tempdimb -2\p@
+%<latexrelease> \@getcirc \@tempdimb
+%<latexrelease> \@ovro \ht\@tempboxa \@ovri \dp\@tempboxa
+%<latexrelease> \@ovdx\@ovxx \advance\@ovdx -\@tempdima \divide\@ovdx \tw@
+%<latexrelease> \@ovdy\@ovyy \advance\@ovdy -\@tempdima \divide\@ovdy \tw@
+%<latexrelease> \@circlefnt \setbox\@tempboxa
+%<latexrelease> \hbox{\if@ovr \@ovvert32\kern -\@tempdima \fi
+%<latexrelease> \if@ovl
+%<latexrelease> \kern \@ovxx \@ovvert01\kern -\@tempdima \kern -\@ovxx
+%<latexrelease> \fi
+%<latexrelease> \if@ovt \@ovhorz \kern -\@ovxx \fi
+%<latexrelease> \if@ovb \raise \@ovyy \@ovhorz \fi}\advance\@ovdx\@ovro
+%<latexrelease> \advance\@ovdy\@ovro \ht\@tempboxa\z@ \dp\@tempboxa\z@
+%<latexrelease> \@put{-\@ovdx}{-\@ovdy}{\box\@tempboxa}%
+%<latexrelease> \endgroup}
+%<latexrelease>\gdef\@ovvert#1#2{\vbox to\@ovyy{%
+%<latexrelease> \if@ovb \@tempcntb \@tempcnta \advance \@tempcntb #1\relax
+%<latexrelease> \kern -\@ovro \hbox{\char \@tempcntb}\nointerlineskip
+%<latexrelease> \else \kern \@ovri \kern \@ovdy \fi
+%<latexrelease> \leaders\vrule \@width \@wholewidth\vfil \nointerlineskip
+%<latexrelease> \if@ovt \@tempcntb \@tempcnta \advance \@tempcntb #2\relax
+%<latexrelease> \hbox{\char \@tempcntb}%
+%<latexrelease> \else \kern \@ovdy \kern \@ovro \fi}}
+%<latexrelease>\gdef\@ovhorz{\hb@xt@\@ovxx{\kern \@ovro
+%<latexrelease> \if@ovr \else \kern \@ovdx \fi
+%<latexrelease> \leaders \hrule \@height \@wholewidth \hfil
+%<latexrelease> \if@ovl \else \kern \@ovdx \fi
+%<latexrelease> \kern \@ovri}}
+%<latexrelease>\EndIncludeInRelease
+%<*2ekernel>
+% \end{macrocode}
+%
+% \begin{macro}{\circle}
+% \changes{LaTeX2.09}{1993/08/05}
+% {(RMS) Added error message if \cs{circle} is used in math mode.}
+% \begin{macrocode}
+\gdef\circle{\@inmatherr\circle\@ifstar\@dot\@circle}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@circle}
+% \begin{macrocode}
+\gdef\@circle#1{%
+ \begingroup \boxmaxdepth \maxdimen \@tempdimb #1\unitlength
+ \ifdim \@tempdimb >15.5\p@ \@getcirc\@tempdimb
+ \@ovro\ht\@tempboxa
+ \setbox\@tempboxa\hbox{\@circlefnt
+ \advance\@tempcnta\tw@ \char \@tempcnta
+ \advance\@tempcnta\m@ne \char \@tempcnta \kern -2\@tempdima
+ \advance\@tempcnta\tw@
+ \raise \@tempdima \hbox{\char\@tempcnta}\raise \@tempdima
+ \box\@tempboxa}\ht\@tempboxa\z@ \dp\@tempboxa\z@
+ \@put{-\@ovro}{-\@ovro}{\box\@tempboxa}%
+ \else \@circ\@tempdimb{96}\fi\endgroup}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@dot}
+% Internal form of |\circle*|.
+% \begin{macrocode}
+\gdef\@dot#1{\@tempdimb #1\unitlength \@circ\@tempdimb{112}}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@circ}
+% \begin{macrocode}
+\gdef\@circ#1#2{\@tempdima #1\relax \advance\@tempdima .5\p@
+ \@tempcnta\@tempdima \@tempdima \p@
+ \divide\@tempcnta\@tempdima
+ \ifnum\@tempcnta >15\relax \@tempcnta 15\relax \fi
+ \ifnum \@tempcnta >\z@ \advance\@tempcnta\m@ne\fi
+ \advance\@tempcnta #2\relax
+ \@circlefnt \char\@tempcnta}
+% \end{macrocode}
+% \end{macro}
+%
+%
+% \begin{macro}{\@xarg}
+% \begin{macro}{\@yarg}
+% \begin{macro}{\@yyarg}
+% Counters used for manipulating the `slope' arguments.
+% \begin{macrocode}
+\newcount\@xarg
+\newcount\@yarg
+\newcount\@yyarg
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+% \end{macro}
+%
+% \begin{macro}{\@multicnt}
+% Counter used in |\multiput|, and also |\multicolumn|.
+% \begin{macrocode}
+\newcount\@multicnt
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@xdim}
+% \begin{macro}{\yxdim}
+% Length registers.
+% \begin{macrocode}
+\newdimen\@xdim
+\newdimen\@ydim
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+%
+% \begin{macro}{\@linechar}
+% Box for holding a line segment character, for sloping lines.
+% \begin{macrocode}
+\newbox\@linechar
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@linelen}
+% Length of the line currently being built.
+% \begin{macrocode}
+\newdimen\@linelen
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@clnwd}
+% \begin{macro}{\@clnht}
+% Height and width of current line segment.
+% \begin{macrocode}
+\newdimen\@clnwd
+\newdimen\@clnht
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+%
+% \begin{macro}{\@dashdim}
+% \begin{macro}{\@dashbox}
+% \begin{macro}{\@dashcnt}
+% |\dashbox| internal registers.
+% \begin{macrocode}
+\newdimen\@dashdim
+\newbox\@dashbox
+\newcount\@dashcnt
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+% \end{macro}
+%
+% Initialization: ``|\thinlines|''
+% \changes{v1.1f}{1995/10/27}
+% {Move initialisation to kernel from autoload file}
+% \begin{macrocode}
+\let\@linefnt\tenln
+\let\@circlefnt\tencirc
+\@wholewidth\fontdimen8\tenln
+\@halfwidth .5\@wholewidth
+% \end{macrocode}
+%
+%
+%
+% \subsection{Curves}
+% The new |\qbezier| command, based on the old |\bezier| defined in
+% |bezier.sty|.
+% \changes{v0.1c}{1994/04/28}{bezier curves added}
+%
+% \begin{oldcomments}
+%
+% \qbezier[N] == \bezier{N}
+%
+% \bezier{N}(AX,AY)(BX,BY)(CX,CY) ==
+% BEGIN
+% IF N = 0
+% THEN \@xdima := |BX - AX|
+% \@xb := |CX - BX|
+% \@xa := Max(\@xa, \@xb)
+% \@ya := |BY - AY|
+% \@yb := |CY - BY|
+% \@ya := Max(\@ya, \@yb)
+% @sc := Max(\@xa, \@ya)
+% %% The coefficient .5 below is the degree of overlap of
+% %% successive points, where 1 is no overlap and 0 is
+% %% complete overlap. A coefficient of C multiplies
+% %% the number of points plotted by 1/C.
+% %%
+% \@xa := .5 * \@halfwidth
+% @sc := @sc / \@halfwidth
+% @sc := Max(@sc, qbeziermax)
+% ELSE @sc := N
+% @scp := @sc+1
+% \@xb := 2 * (BX - AX) * \unitlength
+% \@xa := ((CX-AX)*\unitlength - \@xb)/@sc
+% \@yb := 2 * (BY - AY) * \unitlength
+% \@ya := ((CY-AY)*\unitlength - \@yb)/@sc
+% \@pictdot := square rule of width \@wholewidth
+% \count@ := 0
+% WHILE \count@ < @scp
+% DO \@xdim := ((\count@*\@xa + @xb) / @sc) * \count@
+% \@ydim := ((\count@*\@ya + @yb) / @sc) * \count@
+% plot pt with relative coords (\@xdim,\@ydim)
+% \count@ := \count@+1
+% OD
+%
+% \end{oldcomments}
+%
+% \begin{macro}{\qbeziermax}
+% The maximum number of points to plot.
+% \begin{macrocode}
+\gdef\qbeziermax{500}
+% \end{macrocode}
+% \end{macro}
+%
+%
+% In the code below, to save registers |\@a| \ldots\ are not used.
+% Instead other registers are reused.
+%
+% |\newcounter{@sc} -> \c@multicnt|\par
+% |\newcounter{@scp} -> \@tempcnta|\par
+% |\newdimen\@xa -> \@ovxx|\par
+%
+% |\newdimen\@xb -> \@ovdx|
+%
+% |\newdimen\@ya -> \@ovyy|\par
+% |\newdimen\@yb -> \@ovdy|
+%
+% |\newsavebox{\@pictdot} -> \@tempboxa|
+%
+% \begin{macro}{\qbezier}
+% Main user-level command to plot quadratic bezier curves.
+% |#2| should be |(|.
+% \begin{macrocode}
+\newcommand\qbezier[2][0]{\bezier{#1}#2}
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\bezier}
+% Form of |\bezier| compatible with 2.09 |bezier.sty|, but modified to
+% ignore spaces between its arguments.
+% |#2| should be white space, and |#4| should be |(|.
+% \begin{macrocode}
+\gdef\bezier#1)#2(#3)#4({\@bezier#1)(#3)(}
+% \end{macrocode}
+%
+% \begin{macro}{\@bezier}
+% \begin{macrocode}
+\gdef\@bezier#1(#2,#3)(#4,#5)(#6,#7){%
+ \ifnum #1=\z@
+ \@ovxx #4\unitlength
+ \advance\@ovxx -#2\unitlength
+ \ifdim \@ovxx<\z@ \@ovxx -\@ovxx \fi
+ \@ovdx #6\unitlength
+ \advance\@ovdx -#4\unitlength
+ \ifdim \@ovdx<\z@ \@ovdx -\@ovdx \fi
+ \ifdim \@ovxx<\@ovdx \@ovxx \@ovdx \fi
+ \@ovyy #5\unitlength
+ \advance\@ovyy -#3\unitlength
+ \ifdim \@ovyy<\z@ \@ovyy -\@ovyy \fi
+ \@ovdy #7\unitlength
+ \advance\@ovdy -#5\unitlength
+ \ifdim \@ovdy<\z@ \@ovdy -\@ovdy \fi
+ \ifdim \@ovyy<\@ovdy \@ovyy \@ovdy \fi
+ \@multicnt
+ \ifdim \@ovxx>\@ovyy \@ovxx \else \@ovyy \fi
+ \@ovxx .5\@halfwidth \divide\@multicnt\@ovxx
+ \ifnum \qbeziermax<\@multicnt \@multicnt\qbeziermax\relax \fi
+ \else \@multicnt#1\relax \fi
+ \@tempcnta\@multicnt \advance\@tempcnta\@ne
+ \@ovdx #4\unitlength \advance\@ovdx -#2\unitlength
+ \multiply\@ovdx \tw@
+ \@ovxx #6\unitlength \advance\@ovxx -#2\unitlength
+ \advance\@ovxx -\@ovdx \divide\@ovxx\@multicnt
+ \@ovdy #5\unitlength \advance\@ovdy -#3\unitlength
+ \multiply\@ovdy \tw@
+ \@ovyy #7\unitlength \advance\@ovyy -#3\unitlength
+ \advance\@ovyy -\@ovdy \divide\@ovyy\@multicnt
+% \end{macrocode}
+%
+% \changes{v1.1k}{2003/08/27}{added missing displacement pr/3566}
+% \begin{macrocode}
+ \setbox\@tempboxa\hbox{%
+ \hskip -\@halfwidth
+ \vrule \@height\@halfwidth
+ \@depth \@halfwidth
+ \@width \@wholewidth}%
+ \put(#2,#3){%
+ \count@\z@
+ \@whilenum{\count@<\@tempcnta}\do
+ {\@xdim\count@\@ovxx
+ \advance\@xdim\@ovdx
+ \divide\@xdim\@multicnt
+ \multiply\@xdim\count@
+ \@ydim\count@\@ovyy
+ \advance\@ydim\@ovdy
+ \divide\@ydim\@multicnt
+ \multiply\@ydim\count@
+ \raise \@ydim
+ \hb@xt@\z@{\kern\@xdim
+ \unhcopy\@tempboxa\hss}%
+ \advance\count@\@ne}}}
+%</2ekernel>
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+%
+% \Finale
+%
generated by cgit v1.2.3 (git 2.39.1) at 2024-11-16 09:36:13 +0000