% \iffalse meta-comment
%
% Copyright 1993 1994 1995 1996 1997
% The LaTeX3 Project and any individual authors listed elsewhere
% in this file.
%
% For further copyright information, and conditions for modification
% and distribution, see the file legal.txt, and any other copyright
% notices in this file.
%
% This file is part of the LaTeX2e system.
% ----------------------------------------
% This system 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.
%
% For error reports concerning UNCHANGED versions of this file no
% more than one year old, see bugs.txt.
%
% Please do not request updates from us directly. Primary
% distribution is through the CTAN archives.
%
%
% IMPORTANT COPYRIGHT NOTICE:
%
% You are NOT ALLOWED to distribute this file alone.
%
% You are allowed to distribute this file under the condition that it
% is distributed together with all the files listed in manifest.txt.
%
% If you receive only some of these files from someone, complain!
%
%
% Permission is granted to copy this file to another file with a
% clearly different name and to customize the declarations in that
% copy to serve the needs of your installation, provided that you
% comply with the conditions in the file legal.txt.
%
% However, NO PERMISSION is granted to produce or to distribute a
% modified version of this file under its original name.
%
% You are NOT ALLOWED to change this file.
%
%
%
% \fi
%
% \iffalse
%%% From File: ltpictur.dtx
%<def>\ProvidesFile{autopict.sty}
%<def> [1997/09/15 v1.1g Picture mode autoload file]
%<*driver>
% \fi
\ProvidesFile{ltpictur.dtx}
[1997/09/15 v1.1g 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}
\maketitle
\DocInput{\filename}
\end{document}
%</driver>
% \fi
%
% \CheckSum{1511}
%
% \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}
%
% \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 }
% heigth 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 [email protected]\endcsname\fmtversion
% \end{macrocode}
%
% \begin{macro}{\@wholewidth}
% \begin{macro}{\@halfwidth}
% \begin{macrocode}
%<*2ekernel|autoload>
\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
%</2ekernel|autoload>
% \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}
%<*2ekernel|def>
\long\gdef\picture#1{\pictur@#1}
\gdef\pictur@(#1){%
\@ifnextchar({\@picture(#1)}{\@picture(#1)(0,0)}}
%</2ekernel|def>
%<*autoload>
\def\pictur@{\@autoload{pict}}
\def\picture{\pictur@\picture}
%</autoload>
% \end{macrocode}
% \end{macro}
% \end{macro}
%
% \begin{macro}{\@picture}
% \begin{macrocode}
%<*2ekernel|def>
\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}}
%</2ekernel|def>
% \end{macrocode}
% \end{macro}
%
% \begin{macro}{\thinlines}
% \begin{macro}{\thicklines}
% \begin{macrocode}
%<*2ekernel|def>
\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}
%</2ekernel|def>
%<*autoload>
\def\thinlines{\pictur@\thinlines}
\def\thicklines{\pictur@\thicklines}
%</autoload>
% \end{macrocode}
% \end{macro}
% \end{macro}
%
% \begin{macro}{\linethickness}
% \begin{macrocode}
%<*2ekernel|def>
\gdef\linethickness#1{\@wholewidth #1\relax \@halfwidth .5\@wholewidth}
%</2ekernel|def>
%<*autoload>
\def\linethickness{\pictur@\linethickness}
%</autoload>
% \end{macrocode}
% \end{macro}
%
% \begin{macro}{\ishortstack}
% \begin{macrocode}
%<*2ekernel|def>
\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)}%
\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}
% \begin{macrocode}
\@picture@warn
\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}
% \begin{macrocode}
\gdef\@getlarrow(#1,#2){\ifnum #2=\z@ \@tempcnta'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}
%
% \begin{macro}{\@getrarrow}
% \begin{macrocode}
\gdef\@getrarrow(#1,#2){\@tempcntb #2\relax
\ifnum\@tempcntb <\z@ \@tempcntb -\@tempcntb\relax\fi
\ifcase \@tempcntb\relax \@tempcnta'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}
% \begin{macrocode}
\gdef\@upvector{\@upline\setbox\@tempboxa\hbox{\@linefnt\char'66}\raise
\@linelen \hb@xt@\z@{\lower \ht\@tempboxa\box\@tempboxa\hss}}
% \end{macrocode}
% \end{macro}
%
% \begin{macro}{\@downvector}
% \begin{macrocode}
\gdef\@downvector{\@downline\lower \@linelen
\hb@xt@\z@{\@linefnt\char'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{macrocode}
%</2ekernel|def>
%<*2ekernel|autoload>
% \end{macrocode}
%
% \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}
%
% \begin{macrocode}
%</2ekernel|autoload>
% \end{macrocode}
%
% |\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{macrocode}
%<*2ekernel|def>
% \end{macrocode}
%
% \begin{macro}{\@getcirc}
% \begin{macrocode}
\gdef\@getcirc#1{\@tempdima #1\relax \advance\@tempdima 2\p@
\@tempcnta\@tempdima
\@tempdima 4\p@ \divide\@tempcnta\@tempdima
\ifnum \@tempcnta >10\relax \@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 un |\@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{macro}{\@oval}
% \begin{macrocode}
\gdef\@oval(#1,#2)[#3]{\begingroup\boxmaxdepth \maxdimen
\@ovttrue \@ovbtrue \@ovltrue \@ovrtrue
\@tfor\reserved@a :=#3\do{\csname @ov\reserved@a false\endcsname}%
\@ovxx
#1\unitlength \@ovyy #2\unitlength
\@tempdimb \ifdim \@ovyy >\@ovxx \@ovxx\else \@ovyy \fi
\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@
\@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
\leaders\vrule \@width \@wholewidth\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
\leaders \hrule \@height \@wholewidth \hfil
\if@ovl \else \kern \@ovdx \fi
\kern \@ovri}}
% \end{macrocode}
% \end{macro}
%
% \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{macrocode}
%</2ekernel|def>
% \end{macrocode}
%
% \begin{macrocode}
%<*2ekernel|autoload>
% \end{macrocode}
%
% \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}
%
% \begin{macrocode}
%</2ekernel|autoload>
% \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}
%<*2ekernel|def>
%<def>\ifx\qbeziermax\@undefined
\gdef\qbeziermax{500}
%<def>\fi
% \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
\setbox\@tempboxa\hbox{\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|def>
% \end{macrocode}
% \end{macro}
% \end{macro}
%
% \Finale
%
|
