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-% LAST EDIT: Fri Oct 4 14:30:31 1991 by Michael Janich (massa)
-\makeatletter
-\typeout{%
-Enhancements to Picture Environment. Version 1.2 - Released June 1, 1986}
-%----------------------------------------------------------------------
-% Copyright (C) podar@sbcs (Sunil Podar) July 14,1986.
-% You may use this file in whatever way you wish. You are requested to
-% leave this notice intact, and report any bugs, enhancements, comments,
-% suggestions, etc. to:
-% USmail: Sunil Podar,Dept. of Computer Science,SUNY at Stony Brook,NY 11794.
-% CSNET: podar@sbcs.csnet
-% ARPA: podar%suny-sb.csnet@csnet-relay.arpa
-% UUCP: {allegra, hocsd, philabs, ogcvax}!sbcs!podar
-%----------------------------------------------------------------------
-% This file contains implementation of:
-% \multiputlist \matrixput \grid \picsquare
-% \dottedline \dashline \drawline \jput
-% \putfile
-% Environments: dottedjoin, dashjoin and drawjoin
-%
-% For documentation, see the accompanying manual.
-%----------------------------------------------------------------------
-% usage: \multiputlist(x,y)(delta-x,delta-y)[tbrl]{item1,item2,item3,.....}
-% \lop and \lopoff taken from TeXbook.
-%----------------------------------------------------------------------
-\def\lop#1\to#2{\expandafter\lopoff#1\lopoff#1#2}
-\long\def\lopoff,#1,#2\lopoff#3#4{\def#4{#1}\def#3{,#2}}
-\def\@@mlistempty{,}
-\newif\iflistnonempty
-\def\multiputlist(#1,#2)(#3,#4){\@ifnextchar
-[{\@imultiputlist(#1,#2)(#3,#4)}{\@imultiputlist(#1,#2)(#3,#4)[]}}
-
-\long\def\@imultiputlist(#1,#2)(#3,#4)[#5]#6{{%
-\@xdim=#1\unitlength \@ydim=#2\unitlength
-\listnonemptytrue \def\@@mlist{,#6,} % need this for end condition
-\loop
-\lop\@@mlist\to\@@firstoflist
-\@killglue\raise\@ydim\hbox to\z@{\hskip
-\@xdim\@imakepicbox(0,0)[#5]{\@@firstoflist}\hss}
-\advance\@xdim #3\unitlength\advance\@ydim #4\unitlength
-\ifx\@@mlist\@@mlistempty \listnonemptyfalse\fi
-\iflistnonempty
-\repeat\relax
-\ignorespaces}}
-%----------------------------------------------------------------------
-% two-dimensional version of \multiput
-% \matrixput(0,0)(20,0){5}(0,20){3}{\circle{2}}
-%----------------------------------------------------------------------
-\newcount\@@multicnt
-\def\matrixput(#1,#2)(#3,#4)#5(#6,#7)#8#9{%
-\ifnum#5>#8\@matrixput(#1,#2)(#3,#4){#5}(#6,#7){#8}{#9}%
-\else\@matrixput(#1,#2)(#6,#7){#8}(#3,#4){#5}{#9}\fi}
-
-%% here #5 >= #8
-\long\def\@matrixput(#1,#2)(#3,#4)#5(#6,#7)#8#9{{\@killglue%
-\@multicnt=#5\relax\@@multicnt=#8\relax%
-\@xdim=0pt%
-\@ydim=0pt%
-\setbox\@tempboxa\hbox{\@whilenum \@multicnt > 0\do {%
-%%\typeout{\the\@multicnt, \the\@@multicnt}%
-\raise\@ydim\hbox to \z@{\hskip\@xdim #9\hss}%
-\advance\@multicnt \m@ne%
-\advance\@xdim #3\unitlength\advance\@ydim #4\unitlength}}%
-\@xdim=#1\unitlength%
-\@ydim=#2\unitlength%
-\@whilenum \@@multicnt > 0\do {%
-\raise\@ydim\hbox to \z@{\hskip\@xdim \copy\@tempboxa\hss}%
-\advance\@@multicnt \m@ne%
-\advance\@xdim #6\unitlength\advance\@ydim #7\unitlength}%
-\ignorespaces}}
-%----------------------------------------------------------------------
-%\grid(wd,ht)(delta-wd,delta-ht)[initial-X-integer,initial-Y-integer]
-% example: 1. \put(0,0){\grid(95,100)(9.5,10)}
-% 2. \put(0,0){\grid(100,100)(10,5)[-10,0]}
-% or \put(0,0){\tiny \grid(100,100)(5,5)[0,0]}%numbers in \tiny font
-%----------------------------------------------------------------------
-\newcount\d@lta
-\newdimen\@delta
-\newdimen\@@delta
-\newcount\@gridcnt
-\def\grid(#1,#2)(#3,#4){\@ifnextchar [{\@igrid(#1,#2)(#3,#4)}%
-{\@igrid(#1,#2)(#3,#4)[@,@]}}
-
-\long\def\@igrid(#1,#2)(#3,#4)[#5,#6]{%
-\makebox(#1,#2){%
-\@delta=#1pt\@@delta=#3pt\divide\@delta \@@delta\d@lta=\@delta%
-\advance\d@lta \@ne\relax\message{grid=\the\d@lta\space x}%
-%% copied the definition of \line(0,1){#2} for some efficiency!.
-\multiput(0,0)(#3,0){\d@lta}{\hbox to\z@{\hskip -\@halfwidth \vrule
- \@width \@wholewidth \@height #2\unitlength \@depth \z@\hss}}%
-\ifx#5@\relax\else%
-\global\@gridcnt=#5%
-\multiput(0,0)(#3,0){\d@lta}{%
-\makebox(0,-2)[t]{\number\@gridcnt\global\advance\@gridcnt by #3}}%
-\global\@gridcnt=#5%
-\multiput(0,#2)(#3,0){\d@lta}{\makebox(0,0)[b]{\number\@gridcnt\vspace{2mm}%
-\global\advance\@gridcnt by #3}}%
-\fi%
-\@delta=#2pt\@@delta=#4pt\divide\@delta \@@delta\d@lta=\@delta%
-\advance\d@lta \@ne\relax\message{\the\d@lta . }%
-%% copied the definition of \line(1,0){#1} for some efficiency!.
-\multiput(0,0)(0,#4){\d@lta}{\vrule \@height \@halfwidth \@depth \@halfwidth
- \@width #1\unitlength}%
-\ifx#6@\relax\else
-\global\@gridcnt=#6%
-\multiput(0,0)(0,#4){\d@lta}{%
-\makebox(0,0)[r]{\number\@gridcnt\ \global\advance\@gridcnt by #4}}%
-\global\@gridcnt=#6%
-\multiput(#1,0)(0,#4){\d@lta}{%
-\makebox(0,0)[l]{\ \number\@gridcnt\global\advance\@gridcnt by #4}}%
-\fi}}
-%----------------------------------------------------------------------
-% \picsquare is a centered square of dimensions governed by \thinlines,
-% \thicklines or \linethickness declarations.
-\def\picsquare{\hskip -0.5\@wholewidth%
-\vrule height \@halfwidth depth \@halfwidth width \@wholewidth}
-%
-% just a square dot with reference point at bottom-left
-\def\picsquare@bl{\vrule height \@wholewidth depth \z@ width \@wholewidth}
-%----------------------------------------------------------------------
-% \begin{dottedjoin}{interdot-gap in units}
-% .....
-% \end{dottedjoin}
-% \begin{dashjoin}{dash-length in units}{interdotgap in each dash}
-% .....
-% \end{dashjoin}
-% \begin{drawjoin}
-% .....
-% \end{drawjoin}
-% \jput(x,y){character}
-% \dottedline[opt. dotcharacter]{dotgap in units}(x1,y1)(x2,y2)...(xN,yN)
-% \dashline[#]{dash-length}[opt. dotgap](x1,y1)(x2,y2)...(xN,yN)
-% \drawline[#](x1,y1)(x2,y2)...(xN,yN)
-%----------------------------------------------------------------------
-% definitions for *join environment. had to do all this mess because of
-% optional arguments.
-%----------------------------------------------------------------------
-\newif\if@jointhem \global\@jointhemfalse
-\newif\if@firstpoint \global\@firstpointtrue
-\newcount\@joinkind
-%\newenvironment{dottedjoin}[1]%[opt char]{dotgap}
-%{\global\@jointhemtrue \gdef\dotgap@join{#1}\global\@joinkind=0\relax}%
-%{\global\@jointhemfalse \global\@firstpointtrue}
-%----------------------------------------------------------------------
-\def\dottedjoin{\global\@jointhemtrue \global\@joinkind=0\relax
- \bgroup\@ifnextchar[{\@idottedjoin}{\@idottedjoin[\picsquare@bl]}}
-\def\@idottedjoin[#1]#2{\gdef\dotchar@join{#1}\gdef\dotgap@join{#2}}
-\def\enddottedjoin{\global\@jointhemfalse \global\@firstpointtrue\egroup}
-%----------------------------------------------------------------------
-\def\dashjoin{\global\@jointhemtrue \global\@joinkind=1\relax
- \bgroup\@ifnextchar[{\@idashjoin}{\@idashjoin[\dashlinestretch]}}
-\def\@idashjoin[#1]#2{\edef\dashlinestretch{#1}\gdef\dashlen@join{#2}%
-\@ifnextchar[{\@iidashjoin}{\gdef\dotgap@join{}}}
-\def\@iidashjoin[#1]{\gdef\dotgap@join{#1}}
-\let\enddashjoin\enddottedjoin
-%----------------------------------------------------------------------
-\def\drawjoin{\global\@jointhemtrue \global\@joinkind=2\relax
- \bgroup\@ifnextchar[{\@idrawjoin}{}}
-\def\@idrawjoin[#1]{\def\drawlinestretch{#1}}
-\let\enddrawjoin\enddottedjoin
-%----------------------------------------------------------------------
-%% this is equiv to \put(x,y){#1} when not in {dot*join} environment.
-\long\def\jput(#1,#2)#3{{\@killglue\raise#2\unitlength\hbox to \z@{\hskip
-#1\unitlength #3\hss}\ignorespaces}
-\if@jointhem
- \if@firstpoint \gdef\x@one{#1} \gdef\y@one{#2} \global\@firstpointfalse
- \else\ifcase\@joinkind
- \@dottedline[\dotchar@join]{\dotgap@join\unitlength}%
-(\x@one\unitlength,\y@one\unitlength)(#1\unitlength,#2\unitlength)
- \or\@dashline[\dashlinestretch]{\dashlen@join}[\dotgap@join]%
-(\x@one,\y@one)(#1,#2)
- \else\@drawline[\drawlinestretch](\x@one,\y@one)(#1,#2)\fi
- \gdef\x@one{#1} \gdef\y@one{#2}
- \fi
-\fi}
-%----------------------------------------------------------------------
-\newdimen\@dotgap
-\newdimen\@ddotgap
-\newcount\@x@diff
-\newcount\@y@diff
-\newdimen\x@diff
-\newdimen\y@diff
-\newbox\@dotbox
-\newcount\num@segments
-\newcount\num@segmentsi
-\newif\ifsqrt@done
-%% from sqrtandstuff func basically need \num@segments.
-%% given a deltax, deltay and dotgap, it calculates \num@segments = number of
-%% segments along the hypotenuse. used by \dottedline & \dashline.
-%% It finishes quickly if any of deltax or deltay are zero or close to zero.
-\def\sqrtandstuff#1#2#3{
-\ifdim #1 <0pt \@x@diff= -#1 \else\@x@diff=#1\fi
-\ifdim #2 <0pt \@y@diff= -#2 \else\@y@diff=#2\fi
-%% @diff's will be positive and diff's will retain their sign.
-\@dotgap=#3 \divide\@dotgap \tw@
-\advance\@x@diff \@dotgap \advance\@y@diff \@dotgap% for round-off errors
-\@dotgap=#3
-\divide\@x@diff \@dotgap \divide\@y@diff \@dotgap
-\sqrt@donefalse
-\ifnum\@x@diff < 2
- \ifnum\@y@diff < 2 \num@segments=\@x@diff \advance\num@segments \@y@diff
- \sqrt@donetrue
- \else\num@segments=\@y@diff \sqrt@donetrue\fi
- \else\ifnum\@y@diff < 2 \num@segments=\@x@diff \sqrt@donetrue\fi
-\fi
-\ifsqrt@done \ifnum\num@segments=\z@ \num@segments=\@ne\fi\relax
- \else \ifnum\@y@diff >\@x@diff
- \@tempcnta=\@x@diff \@x@diff=\@y@diff \@y@diff=\@tempcnta
- \fi %exchange @x@diff & @y@diff, so now @x@diff > @y@diff
- \num@segments=\@y@diff
- \multiply\num@segments \num@segments
- \multiply\num@segments by 457
- \divide\num@segments \@x@diff
- \advance\num@segments by 750 % for round-off, going to divide by 1000.
- \divide\num@segments \@m
- \advance\num@segments \@x@diff
- %num@segments = @x@diff + (0.457*sqr(@y@diff)/@x@diff)
-\fi}
-%----------------------------------------------------------------------
-% \dottedline[opt. char]{interdot gap in units}(x1,y1)(x2,y2)....(xN,yN)
-%----------------------------------------------------------------------
-%% Used the following construction earlier but that results in box memory
-%% full much too soon although it works perfectly.
-%% \setbox\@dotbox\vbox to\z@{\vss \hbox to\z@{\hss #1\hss}\vss}\relax}
-%% The cenetering of characters is achieved by substracting half the ht, wd
-%% of character from the (x,y) coordinates where they are to be put. We
-%% chose to use a macro for the ``dot'' instead of \copy\box to save memory
-%% at the expense of extra cpu, since memory becomes an issue very soon.
-%% \picsquare is already centered, whereas other characters, except \circle,
-%% will not be cenetered, hence to handle them all in a similar fashion,
-%% used \picsquare@bl.
-%
-% kind of tail recursion.
-\def\dottedline{\@ifnextchar [{\@idottedline}{\@idottedline[\picsquare@bl]}}
-\def\@idottedline[#1]#2(#3,#4){\@ifnextchar (%
-{\@iidottedline[#1]{#2}(#3,#4)}{\relax}}
-\def\@iidottedline[#1]#2(#3,#4)(#5,#6){\@dottedline[#1]{#2\unitlength}%
-(#3\unitlength,#4\unitlength)(#5\unitlength,#6\unitlength)%
-\@idottedline[#1]{#2}(#5,#6)}
-%
-%% user not supposed to use this directly. arguments in absolute dimensions.
-%% need to pass absolute dimens here because dashline calls dottedline and
-%% can supply only absolute dimensions.
-\long\def\@dottedline[#1]#2(#3,#4)(#5,#6){{%
-\x@diff=#5\relax\advance\x@diff by -#3\relax
-\y@diff=#6\relax\advance\y@diff by -#4\relax
-\sqrtandstuff{\x@diff}{\y@diff}{#2}
-\divide\x@diff \num@segments
-\divide\y@diff \num@segments
-\advance\num@segments \@ne % to put the last point at destination.
-%%\typeout{num@segments= \the\num@segments}
-\setbox\@dotbox\hbox{#1}% just to get the dimensions of the character.
-\@xdim=#3 \@ydim=#4
-\ifdim\ht\@dotbox >\z@% otherwise its a circle.
- \advance\@xdim -0.5\wd\@dotbox
- \advance\@ydim -0.5\ht\@dotbox
- \advance\@ydim .5\dp\@dotbox\fi
-%%circle's have a ht=0, this is one way I could think of to catch circles.
-%%following loop is equiv to
-%%\multiput(\@xdim,\@ydim)(\x@diff,\y@diff){\num@segments}{#1}
-%%with arguments in absolute dimensions.
-\@killglue
-\loop \ifnum\num@segments > 0
-\unskip\raise\@ydim\hbox to\z@{\hskip\@xdim #1\hss}%
-\advance\num@segments \m@ne\advance\@xdim\x@diff\advance\@ydim\y@diff%
-\repeat
-\ignorespaces}}
-%----------------------------------------------------------------------
-% \dashline[#]{dash-length}[optional dotgap](x1,y1)(x2,y2)...(xN,yN)
-% The minimum # of dashes put is 2, one at either end point; dash-length is
-% reduced accordingly if necessary. Also have to some dirty work to account
-% for stretch & shrink.
-% \renewcommand{\dashlinestretch}{-50} %ONLY INTEGERS PERMITTED.
-%----------------------------------------------------------------------
-\def\dashlinestretch{0} %well, could have used a counter.
-\def\dashline{\@ifnextchar [{\@idashline}{\@idashline[\dashlinestretch]}}
-\def\@idashline[#1]#2{\@ifnextchar [{\@iidashline[#1]{#2}}%
-{\@iidashline[#1]{#2}[\@empty]}} %\@empty needed-- later checked with \ifx
-\def\@iidashline[#1]#2[#3](#4,#5){\@ifnextchar (%
-{\@iiidashline[#1]{#2}[#3](#4,#5)}{\relax}}
-%
-\def\@iiidashline[#1]#2[#3](#4,#5)(#6,#7){%
-\@dashline[#1]{#2}[#3](#4,#5)(#6,#7)%
-\@iidashline[#1]{#2}[#3](#6,#7)}
-%
-\long\def\@dashline[#1]#2[#3](#4,#5)(#6,#7){{%
-\x@diff=#6\unitlength \advance\x@diff by -#4\unitlength
-\y@diff=#7\unitlength \advance\y@diff by -#5\unitlength
-%% correction to get actual width since the dash-length as taken in arguement
-%% is the center-to-center of the end-points.
-\@tempdima=#2\unitlength \advance\@tempdima -\@wholewidth
-\sqrtandstuff{\x@diff}{\y@diff}{\@tempdima}
-\ifnum\num@segments <3 \num@segments=3\fi% min number of dashes I can plot
-% is 2, 1 at either end, thus min num@segments is 3 (including 'empty dash').
-\@tempdima=\x@diff \@tempdimb=\y@diff
-\divide\@tempdimb by\num@segments
-\divide\@tempdima by\num@segments
-%% ugly if-then-else. If optional dotgap specified, then use it otherwise
-%% make a solid looking dash.
-{\ifx#3\@empty \relax
- \ifdim\@tempdima < 0pt \x@diff=-\@tempdima\else\x@diff=\@tempdima\fi
- \ifdim\@tempdimb < 0pt \y@diff=-\@tempdimb\else\y@diff=\@tempdimb\fi
- \ifdim\x@diff < 0.3pt %it's a vertical dashline
- \ifdim\@tempdimb > 0pt
- \global\setbox\@dotbox\hbox{\hskip -\@halfwidth \vrule
- \@width \@wholewidth \@height \@tempdimb}
- \else\global\setbox\@dotbox\hbox{\hskip -\@halfwidth \vrule
- \@width \@wholewidth \@height\z@ \@depth -\@tempdimb}\fi
- \else\ifdim\y@diff < 0.3pt %it's a horizontal dashline
- \ifdim\@tempdima >0pt
- \global\setbox\@dotbox\hbox{\vrule \@height \@halfwidth
- \@depth \@halfwidth \@width \@tempdima}
- \else\global\setbox\@dotbox\hbox{\hskip \@tempdima
- \vrule \@height \@halfwidth \@depth \@halfwidth
- \@width -\@tempdima \hskip \@tempdima}\fi
- \else\global\setbox\@dotbox\hbox{%
-\@dottedline[\picsquare]{0.98\@wholewidth}(0pt,0pt)(\@tempdima,\@tempdimb)}
-\fi\fi
-\else\global\setbox\@dotbox\hbox{%
-\@dottedline[\picsquare]{#3\unitlength}(0pt,0pt)(\@tempdima,\@tempdimb)}
-\fi}
-\advance\x@diff by -\@tempdima % both have same sign
-\advance\y@diff by -\@tempdimb
-%
-%%here we correct the number of dashes to be put by reducing them
-%%appropriately. (num@segments*\@wholewidth) is in some way the slack we
-%%have,and division by dash-length gives the reduction. reduction =
-%%(2*num@segments*\@wholewidth)/dash-length
-%% (num@segments includes empty ones)
-\@tempdima=\num@segments\@wholewidth \@tempdima=2\@tempdima
-\@tempcnta=\@tempdima \@tempdima=#2\unitlength \@tempdimb=0.5\@tempdima
-\@tempcntb=\@tempdimb \advance\@tempcnta by \@tempcntb % round-off error
-\divide\@tempcnta by\@tempdima \advance\num@segments by -\@tempcnta
-%
-\ifnum #1=0 \relax\else\ifnum #1 < -100
- \typeout{***dashline: reduction > -100 percent implies blankness!***}
-\else\num@segmentsi=#1 \advance\num@segmentsi by 100
- \multiply\num@segments by\num@segmentsi \divide\num@segments by 100
-\fi\fi
-%
-\divide\num@segments by 2 % earlier num@segments included 'empty dashes' too.
-\ifnum\num@segments >0 % if =0 then don't divide => \x@diff & \y@diff
- \divide\x@diff by\num@segments% remain same.
- \divide\y@diff by\num@segments
- \advance\num@segments by\@ne %for the last segment for which I subtracted
- %\@tempdima & \@tempdimb from \x@diff & \y@diff
- \else\num@segments=2 % one at each end.
-\fi
-%%\typeout{num@segments finally = \the\num@segments}
-%% equiv to \multiput(#4,#5)(\x@diff,\y@diff){\num@segments}{\copy\@dotbox}
-%% with arguements in absolute dimensions.
-\@xdim=#4\unitlength \@ydim=#5\unitlength
-\@killglue
-\loop \ifnum\num@segments > 0
-\unskip\raise\@ydim\hbox to\z@{\hskip\@xdim \copy\@dotbox\hss}%
-\advance\num@segments \m@ne\advance\@xdim\x@diff\advance\@ydim\y@diff%
-\repeat
-\ignorespaces}}
-%----------------------------------------------------------------------
-%%1.00 .833333 .80 .75 .66666 .60 .50 .40 .33333 .25 .20 .16666
-%% .916666 .816666 .775 .708333 .633333 .55 .45 .366666 .291666 .225 .183333
-%% 0.0
-%%0.083333
-%% the first line has absolute slopes corresponding to various permissible
-%% integer combinations representing slopes. The second line is the midpoint
-%% of all those slopes (attempted to show them in the middle of two entries).
-%%
-%% \lineslope(x@diff dimen, y@diff dimen)
-%% Given base (x@diff) and height (y@diff) in dimensions, determines the
-%% closest available slope and returns the two required integers in \@xarg
-%% and \@yarg. The given base and height can be ANYTHING, -ve or +ve, or
-%% even 0pt. \lineslope knows about (0,1) and (1,0) slopes too and returns
-%% correct values if the conditions regarding x@diff & y@diff are obeyed
-%% (see NOTE). Used by \drawline. This is the simplest and only way I could
-%% figure out to accomplish it!.
-%% NOTE: both the dimensions (x@diff & y@diff) must be in SAME units and the
-%% larger of the two dimensions must be atleast 1pt (i.e. 65536sp). To avoid
-%% dividing by 0, I make the larger dimension = 1pt if it is < 1pt.
-%% will need a similar one for vectors, or maybe this can be used. For
-%% vectors the range is -4, 4 unlike lines where it is -6, 6.
-\newif\if@flippedargs
-\def\lineslope(#1,#2){%
-\ifdim #1 <0pt \@xdim= -#1 \else\@xdim=#1\fi
-\ifdim #2 <0pt \@ydim= -#2 \else\@ydim=#2\fi
-%%\typeout{xdim,ydim= \the\@xdim, \the\@ydim}
-\ifdim\@xdim >\@ydim \@tempdima=\@xdim \@xdim=\@ydim \@ydim=\@tempdima
-\@flippedargstrue\else\@flippedargsfalse\fi% x < y
-\ifdim\@ydim >1pt \@tempcnta=\@ydim
- \divide\@tempcnta by 65536% now \@tempcnta=integral part of #1.
- \divide\@xdim \@tempcnta\fi
-\ifdim\@xdim <.083333pt \@xarg=1 \@yarg=0
- \else\ifdim\@xdim <.183333pt \@xarg=6 \@yarg=1
- \else\ifdim\@xdim <.225pt \@xarg=5 \@yarg=1
- \else\ifdim\@xdim <.291666pt \@xarg=4 \@yarg=1
- \else\ifdim\@xdim <.366666pt \@xarg=3 \@yarg=1
- \else\ifdim\@xdim <.45pt \@xarg=5 \@yarg=2
- \else\ifdim\@xdim <.55pt \@xarg=2 \@yarg=1
- \else\ifdim\@xdim <.633333pt \@xarg=5 \@yarg=3
- \else\ifdim\@xdim <.708333pt \@xarg=3 \@yarg=2
- \else\ifdim\@xdim <.775pt \@xarg=4 \@yarg=3
- \else\ifdim\@xdim <.816666pt \@xarg=5 \@yarg=4
- \else\ifdim\@xdim <.916666pt \@xarg=6 \@yarg=5
- \else \@xarg=1 \@yarg=1%
-\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi\fi
-\if@flippedargs\relax\else\@tempcnta=\@xarg \@xarg=\@yarg
- \@yarg=\@tempcnta\fi
-\ifdim #1 <0pt \@xarg= -\@xarg\fi
-\ifdim #2 <0pt \@yarg= -\@yarg\fi
-%%\typeout{closest slope integers = \the\@xarg, \the\@yarg}
-}
-%----------------------------------------------------------------------
-% usage: \drawline[#](x1,y1)(x2,y2)....(xN,yN)
-% % # is an optional integer between -100 & infinity.
-% \renewcommand{\drawlinestretch}{-50} %ONLY INTEGERS PERMITTED.
-%----------------------------------------------------------------------
-\newif\if@toosmall
-\newif\if@drawit
-\newif\if@horvline
-\def\drawlinestretch{0} %well, could have used a counter.
-% kind of tail recursion.
-\def\drawline{\@ifnextchar [{\@idrawline}{\@idrawline[\drawlinestretch]}}
-\def\@idrawline[#1](#2,#3){\@ifnextchar ({\@iidrawline[#1](#2,#3)}{\relax}}
-\def\@iidrawline[#1](#2,#3)(#4,#5){\@drawline[#1](#2,#3)(#4,#5)
-\@idrawline[#1](#4,#5)}
-%
-\def\@drawline[#1](#2,#3)(#4,#5){{%
-\x@diff=#4\unitlength \advance\x@diff by -#2\unitlength
-\y@diff=#5\unitlength \advance\y@diff by -#3\unitlength
-%% override any linethickness declarations, and since horiz & vertical lines
-%% come out thinner than the slanted ones, assign slightly larger values.
-%% default values are: thinlines=0.4pt, thicklines=0.8pt
-\ifx\@linefnt\tenln \linethickness{0.5pt} \else \linethickness{0.9pt}\fi
-\lineslope(\x@diff,\y@diff)% returns the two integers in \@xarg & \@yarg.
-%------
-\@toosmalltrue
-{\ifdim\x@diff <\z@ \x@diff=-\x@diff\fi
- \ifdim\y@diff <\z@ \y@diff=-\y@diff\fi
- \ifdim\x@diff >10pt \global\@toosmallfalse\fi
- \ifdim\y@diff >10pt \global\@toosmallfalse\fi}
-%------
-%% For efficiency, if the line is horiz or vertical then we draw it in one
-%% shot, only if the stretch is not -ve and the line is not too small.
-\@drawitfalse\@horvlinefalse
-\ifnum#1 <0 \relax\else\@horvlinetrue\fi
-\if@toosmall\@horvlinetrue\fi% to get 'or' condition. We necessarily draw a
-% solid line if the line is too small ignoring any -ve stretch.
-\if@horvline
- \ifdim\x@diff =0pt \put(#2,#3){\ifdim\y@diff >0pt \@linelen=\y@diff \@upline
- \else\@linelen=-\y@diff \@downline\fi}%
- \else\ifdim\y@diff =0pt
- \ifdim\x@diff >0pt \put(#2,#3){\vrule \@height \@halfwidth \@depth
- \@halfwidth \@width \x@diff}
- \else \put(#4,#5){\vrule \@height \@halfwidth \@depth
- \@halfwidth \@width -\x@diff}\fi
- \else\@drawittrue\fi\fi % construct the line explicitly
-\else\@drawittrue\fi
-%-------------------------------
-\if@drawit
-\ifnum\@xarg< 0 \@negargtrue\else\@negargfalse\fi
-\ifnum\@xarg =0 \setbox\@linechar%
-\hbox{\hskip -\@halfwidth \vrule \@width \@wholewidth \@height 10.2pt
- \@depth \z@}
-\else \ifnum\@yarg =0 \setbox\@linechar%
-\hbox{\vrule \@height \@halfwidth \@depth \@halfwidth \@width 10.2pt}
-\else \if@negarg \@xarg -\@xarg \@yyarg -\@yarg
- \else \@yyarg \@yarg\fi
-\ifnum\@yyarg >0 \@tempcnta\@yyarg \else \@tempcnta -\@yyarg\fi
-\setbox\@linechar\hbox{\@linefnt\@getlinechar(\@xarg,\@yyarg)}%
-\fi\fi
-%------
-\if@toosmall% => it isn't a horiz or vert line and is toosmall.
- \@dottedline[\picsquare]{.98\@wholewidth}%
-(#2\unitlength,#3\unitlength)(#4\unitlength,#5\unitlength)%
-\else
-%% following is neat. The last segment takes \wd\@linechar & \ht\@linechar
-%% so plot the line as though it were from (#2,#3) to
-%% (#4-\wd\@linechar,#5-\ht\@linechar) (i.e. for positive slope; of course,
-%% signs are reversed for other slopes). For horizontal & vertical dashes we
-%% don't have to subtract the ht & wd resp. since they are already centered.
-\ifnum\@xarg=0\relax\else\ifdim\x@diff >\z@ \advance\x@diff -\wd\@linechar
- \else\advance\x@diff \wd\@linechar\fi\fi
-\ifnum\@yarg=0\relax\else\ifdim\y@diff >\z@\advance\y@diff -\ht\@linechar
- \else\advance\y@diff \ht\@linechar\fi\fi
-\ifdim\x@diff <\z@ \@x@diff=-\x@diff \else\@x@diff=\x@diff\fi
-\ifdim\y@diff <\z@ \@y@diff=-\y@diff \else\@y@diff=\y@diff\fi
-%%\typeout{x@diff,y@diff=\the\x@diff , \the\y@diff}
-\num@segments=0 \num@segmentsi=0
-\ifdim\wd\@linechar >1pt
- \num@segmentsi=\@x@diff \divide\num@segmentsi \wd\@linechar\fi
-\ifdim\ht\@linechar >1pt
- \num@segments=\@y@diff \divide\num@segments \ht\@linechar\fi
-\ifnum\num@segmentsi >\num@segments \num@segments=\num@segmentsi\fi
-\advance\num@segments \@ne %to account for round-off error
-%
-\ifnum #1=0 \relax \else\ifnum #1 < -99
- \typeout{***drawline: reduction <= -100 percent implies blankness!***}
-\else\num@segmentsi=#1 \advance\num@segmentsi by 100
- \multiply\num@segments \num@segmentsi
- \divide\num@segments by 100
-\fi\fi
-%%\typeout{num@segments after = \the\num@segments}
-%
-\divide\x@diff \num@segments
-\divide\y@diff \num@segments
-\advance\num@segments \@ne %for the last segment for which I subtracted
- %\wd & \ht of \@linechar from \@x@diff & \@y@diff.
-%%\typeout{numseg,x@diff,y@diff= \the\num@segments, \the\x@diff, \the\y@diff}
-%
-\@xdim=#2\unitlength \@ydim=#3\unitlength
-\if@negarg \advance\@xdim -\wd\@linechar\fi
-\ifnum\@yarg <0 \advance\@ydim -\ht\@linechar\fi
-%%following loop equiv to \multiput@abs(\@xdim,\@ydim)%
-%%(\x@diff,\y@diff){\num@segments}{\copy\@linechar}
-%%with arguements in absolute dimensions.
-\@killglue
-\loop \ifnum\num@segments > 0
-\unskip\raise\@ydim\hbox to\z@{\hskip\@xdim \copy\@linechar\hss}%
-\advance\num@segments \m@ne\advance\@xdim\x@diff\advance\@ydim\y@diff%
-\repeat
-\ignorespaces
-\fi%the if of @toosmall
-\fi}}% for \if@drawit
-%----------------------------------------------------------------------
-%usage: \putfile{datafile}{OBJECT}
-% The OBJECT is plotted at EACH of the coordinates read from the datafile.
-% The idea of these macros is to generate (x,y) pairs using some program
-% and then directly use those coordinates. Since TeX doesn't have real
-% floating point calculations, it is much more efficient and accurate to do
-% things this way. One can also use the unix facility 'spline' now to
-% generate smooth curves with equidistant ``dots''.
-% NOTE: the external file of coordinates must have x y pairs with a space
-% between them. Also it is suggested that some extension such as '.put'
-% be used for such datafiles to distinguish them in which case it must
-% be explicitely specified in the 1st argument so that TeX doesn't look
-% for a .tex extension.
-% The % char remains valid as a comment char and such lines are ignored;
-% however, there should be atleast one space after the second entry if a
-% comment is on the same line as data since % eats up the newline.
-%-----------------------------------------------------------------------
-\long\def\splittwoargs#1 #2 {(#1,#2)}
-%
-\newif\if@stillmore
-\newread\@datafile
-\long\def\putfile#1#2{\openin\@datafile = #1
-\@stillmoretrue
-\loop
-\ifeof\@datafile\relax\else\read\@datafile to\@dataline\fi
-%if file nonexistent, do nothing.
-\ifeof\@datafile\@stillmorefalse
-\else\ifx\@dataline\@empty \relax
- \else
-\expandafter\expandafter\expandafter\put\expandafter\splittwoargs%
-\@dataline{#2}
- \fi
-\fi
-\if@stillmore
-\repeat
-\closein\@datafile
-}
-%----------------------------------------------------------------------
-\makeatother
-