%%%%%%%%%%%%%%%%%%%%%%%%  fullpict.sty  %%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%       Written by Bruce Shawyer 14 March 1995       %%%%%%
%%%%%%       Updated and improved 14 November 1995        %%%%%%
%%%%%%       Second update September 1996                 %%%%%%
%%%%%%       Third  update August    1998                 %%%%%%
%%%%%%       Fourth update March     2001                 %%%%%%
%%%%%%       Fifth  update April     2001                 %%%%%%
%%%%%%       Sixth  update October   2003                 %%%%%%
\makeatletter
\newcount\gs@ \newcount\gs@d \newcount\a@@@a

\def\g@odfullunit#1{\gs@=\number\hsize
\divide\gs@ by72820\divide\gs@ by#1\setlength\unitlength{\gs@ pt}}

\def\fullpicture(#1,#2){\@ifnextchar({\@fullpicture(#1,#2)}%
{\@fullpicture(#1,#2)(0,0)}}
\def\@fullpicture(#1,#2)(#3,#4){\begin{center}
\g@odfullunit{#1}\@picht #2\unitlength
\setbox\@picbox\hbox to#1\unitlength\bgroup
\hskip -#3\unitlength \lower #4\unitlength \hbox\bgroup\ignorespaces}
\def\endfullpicture{\egroup\hss\egroup\ht\@picbox\@picht
\dp\@picbox\z@\mbox{\box\@picbox}\end{center}}

\def\g@odhalfunit#1{\gs@=\number\hsize
\divide\gs@ by145640\divide\gs@ by#1\setlength\unitlength{\gs@ pt}}

\def\halfpicture(#1,#2){\@ifnextchar({\@halfpicture(#1,#2)}%
{\@halfpicture(#1,#2)(0,0)}}
\def\@halfpicture(#1,#2)(#3,#4){\begin{center}
\g@odhalfunit{#1}\@picht #2\unitlength
\setbox\@picbox\hbox to#1\unitlength\bgroup
\hskip -#3\unitlength \lower #4\unitlength \hbox\bgroup\ignorespaces}
\def\endhalfpicture{\egroup\hss\egroup\ht\@picbox\@picht
\dp\@picbox\z@\mbox{\box\@picbox}\end{center}}

\def\sc@leunit#1#2{\gs@=\number\hsize
\divide\gs@ by72820\divide\gs@ by#1\multiply\gs@ by#2\divide\gs@ by100
\setlength\unitlength{\gs@ pt}}

\def\scalepicture#1(#2,#3){\@ifnextchar({\@scalepicture#1(#2,#3)}%
{\@scalepicture#1(#2,#3)(0,0)}}
\def\@scalepicture#1(#2,#3)(#4,#5){\begin{center}
\sc@leunit{#2}{#1}\@picht #3\unitlength
\setbox\@picbox\hbox to#2\unitlength\bgroup
\hskip -#4\unitlength \lower #5\unitlength \hbox\bgroup\ignorespaces}
\def\endscalepicture{\egroup\hss\egroup\ht\@picbox\@picht
\dp\@picbox\z@\mbox{\box\@picbox}\end{center}}

\def\sc@leunit#1#2{\gs@=\number\hsize
\divide\gs@ by72820\divide\gs@ by#1\multiply\gs@ by#2\divide\gs@ by100
\setlength\unitlength{\gs@ pt}}

\def\Scalepicture#1(#2,#3){\@ifnextchar({\@Scalepicture#1(#2,#3)}%
{\@Scalepicture#1(#2,#3)(0,0)}}
\def\@Scalepicture#1(#2,#3)(#4,#5){
\sc@leunit{#2}{#1}\@picht #3\unitlength
\setbox\@picbox\hbox to#2\unitlength\bgroup
\hskip -#4\unitlength \lower #5\unitlength \hbox\bgroup\ignorespaces}
\def\endScalepicture{\egroup\hss\egroup\ht\@picbox\@picht
\dp\@picbox\z@\mbox{\box\@picbox}}

% new environments July 1998
%  ticks2.sty %  version  beta3 % 13 March 2001 % Bruce Shawyer

\newcount\t@ck\newcount\s@ck \newcount\xt@ck\newcount\yt@ck
\newdimen\t@@k\newdimen\t@@k@\newdimen\s@@k
\newdimen\t@y@k\newdimen\t@x@k\newdimen\t@z@k
\newdimen\ty@@k\newdimen\sy@@k \newdimen\xt@@k\newdimen\xs@@k
\newdimen\yt@@k\newdimen\ys@@k
\def\scaledpicture#1(#2,#3){\@ifnextchar({\@scaledpicture#1(#2,#3)}%
{\@scaledpicture#1(#2,#3)(0,0)}}
\def\@scaledpicture#1(#2,#3)(#4,#5){\t@x{#1}\begin{center}\a@@@a=#1
\sc@leunit{#2}{#1}\@picht #3\unitlength
\setbox\@picbox\hbox to#2\unitlength\bgroup
\hskip -#4\unitlength \lower #5\unitlength \hbox\bgroup\ignorespaces

\def\xaxis{\put(#4,0){\Vector(1,0){#2}}}
\def\yaxis{\put(0,#5){\Vector(0,1){#3}}}
\def\axes{\xaxis\yaxis}

\t@@k=#2pt \t@y@k=#3pt \xt@@k=#4pt \divide\xt@@k by65536
\yt@@k=#5pt \divide\yt@@k by65536
}
\def\endscaledpicture{\egroup\hss\egroup\ht\@picbox\@picht
\dp\@picbox\z@\mbox{\box\@picbox}\end{center}}

\def\Scaledpicture#1(#2,#3){\@ifnextchar({\@Scaledpicture#1(#2,#3)}%
{\@Scaledpicture#1(#2,#3)(0,0)}}
\def\@Scaledpicture#1(#2,#3)(#4,#5){\t@x{#1}
\sc@leunit{#2}{#1}\@picht #3\unitlength
\setbox\@picbox\hbox to#2\unitlength\bgroup
\hskip -#4\unitlength \lower #5\unitlength \hbox\bgroup\ignorespaces

\def\xaxis{\put(#4,0){\Vector(1,0){#2}}}
\def\yaxis{\put(0,#5){\Vector(0,1){#3}}}
\def\axes{\xaxis\yaxis}

\t@@k=#2pt \t@y@k=#3pt \xt@@k=#4pt \divide\xt@@k by65536
\yt@@k=#5pt \divide\yt@@k by65536
}
\def\endScaledpicture{\egroup\hss\egroup\ht\@picbox\@picht
\dp\@picbox\z@\mbox{\box\@picbox}}

\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 \divide\@linelen by200 \multiply\@linelen by203
  \ifnum\a@@@a<86  \divide\@linelen by200 \multiply\@linelen by201\fi
  \ifnum\a@@@a<76  \divide\@linelen by200 \multiply\@linelen by201\fi
  \ifnum\a@@@a<51  \divide\@linelen by200 \multiply\@linelen by202\fi
  \ifnum\a@@@a<46  \divide\@linelen by200 \multiply\@linelen by201\fi
  \ifnum\a@@@a<41  \divide\@linelen by200 \multiply\@linelen by201\fi
  \ifnum\a@@@a<36  \divide\@linelen by200 \multiply\@linelen by201\fi
  \ifnum\a@@@a<31  \divide\@linelen by200 \multiply\@linelen by201\fi
  \ifnum\a@@@a<26  \divide\@linelen by200 \multiply\@linelen by201\fi
  \ifnum\a@@@a<21  \divide\@linelen by200 \multiply\@linelen by201\fi
  \ifdim\@linelen<\z@\@badlinearg\else
    \ifnum\@xarg =\z@ \@vvector
      \else \ifnum\@yarg =\z@ \@hvector \else \@svector\fi
    \fi
  \fi
  \else\@badlinearg\fi}

\newdimen\xy@@
\def\xticks#1{\@ifnextchar [{\@xticks#1}{\@xticks#1[1]}}
\def\@xticks#1[#2]{\t@@k@=\t@@k\s@@k=#1pt\divide\s@@k by256 \advance\t@@k@
by-1pt
\ifnum\s@@k<65536 \advance\t@@k@ by1pt \fi \multiply\t@@k@ by256
\divide\t@@k@ by\number\s@@k \t@ck=\number\t@@k@ \divide\t@ck by65536
\advance\t@ck by1
\xy@@=#2pt
\ifnum\xy@@>0
\multiput(\number\xt@@k,0)(#1,0){\t@ck}{\line(0,-1){#2}} \else
\multiput(\number\xt@@k,0)(#1,0){\t@ck}{\line(0,1){-#2}} \fi}

\def\yticks#1{\@ifnextchar [{\@yticks#1}{\@yticks#1[1]}}
\def\@yticks#1[#2]{\t@@k@=\t@y@k\s@@k=#1pt\divide\s@@k by256 \advance\t@@k@
by-1pt
\ifnum\s@@k<65536 \advance\t@@k@ by1pt \fi \multiply\t@@k@ by256
\divide\t@@k@ by\number\s@@k \t@ck=\number\t@@k@ \divide\t@ck by65536
\advance\t@ck by1
\xy@@=#2pt
\ifnum\xy@@>0
\multiput(0,\number\yt@@k)(0,#1){\t@ck}{\line(-1,0){#2}}\else
\multiput(0,\number\yt@@k)(0,#1){\t@ck}{\line(1,0){-#2}}\fi}

\def\ticks#1{\@ifnextchar [{\@ticks#1}{\@ticks#1[1]}}
\def\@ticks#1[#2]{\xticks{#1}[#2]\yticks{#1}[#2]}

\def\origin#1{\put(0,0){\circle{#1}}}

\def\xnums#1{\@ifnextchar [{\@xnums#1}{\@xnums#1[.25]}}
\def\@xnums#1[#2]{
\cput(\number\xt@@k,-#2){\number\xt@@k}
\xt@ck=\number\xt@@k
\s@ck=\xt@@k\multiply\s@ck by 65536 \advance\s@ck by\t@@k
\divide\s@ck by65536
\loop \advance\xt@ck by#1 \ifnum\xt@ck=0 \advance\xt@ck by#1 \fi
\ifnum\xt@ck<\number\s@ck
\cput(\number\xt@ck,-#2){\number\xt@ck}\repeat
\ifnum\xt@ck=\number\s@ck\cput(\number\xt@ck,-#2){\number\xt@ck}\fi
}

\def\ynums#1{\@ifnextchar [{\@ynums#1}{\@ynums#1[.25]}}
\def\@ynums#1[#2]{
\cput(-#2,\number\yt@@k){\number\yt@@k} \xt@ck=\number\yt@@k
\s@ck=\yt@@k\multiply\s@ck by 65536 \advance\s@ck by\t@y@k
\divide\s@ck by65536
\loop \advance\xt@ck by#1 \ifnum\xt@ck=0 \advance\xt@ck by#1 \fi
\ifnum\xt@ck<\number\s@ck
\cput(-#2,\number\xt@ck){\number\xt@ck}\repeat
\ifnum\xt@ck=\number\s@ck\cput(-#2,\number\xt@ck){\number\xt@ck}\fi
}
\def\nums#1{\@ifnextchar [{\@nums#1}{\@nums#1[.25]}}
\def\@nums#1[#2]{\xnums{#1}[#2]\ynums{#1}[#2]}

% font size calculation

\newcount\gs@dfont
\newcount\gs@done\newcount\gs@dtwo\newcount\gs@dthree\newcount\gs@dfour
\gs@done=39\gs@dtwo=49\gs@dthree=59\gs@dfour=74
%                                   % percentages for font size changes
\def\t@x#1{\gs@d=\number\textwidth\divide\gs@d by\number\hsize
\multiply\gs@done by\number\gs@d \multiply\gs@dtwo by\number\gs@d
\multiply\gs@dthree by\number\gs@d \multiply\gs@dfour by\number\gs@d
\gs@dfont=5
\tiny\ifnum#1>\gs@done\scriptsize \gs@dfont=4
\ifnum#1>\gs@dtwo\footnotesize \gs@dfont=3
\ifnum#1>\gs@dthree\small \gs@dfont=2
\ifnum#1>\gs@dfour\normalsize \gs@dfont=1
\fi\fi\fi\fi}

% additions August 1998
\newdimen\@dx\newdimen\@dy\newdimen\@dz\newdimen\@d@x\newdimen\@d@y
\newdimen\@d@z\newdimen\@dzz\newcount\s@c

% calculation of  #1*#2 +#3 or  xa+b  -  answer is \@d@x
\def\m@l#1#2#3{\@d@z=#1 \divide\@d@z by32
\@d@x=#2pt \multiply\@d@x by\@d@z \divide\@d@x by2048
\@d@y=#3pt \advance\@d@x by\@d@y}
% main macro calculation - #1 is the angle in degrees, #x is the object put
%                          #3 is the multiplier for extra distance
\def\@x@p#1#2#3{\rm\@dz=#1pt \@dzz=720pt \advance\@dz by2\@dzz
\divide\@dz by65536 \s@c=\number\@dz \divide\s@c by360 \multiply\s@c by360
\@dzz=\s@c pt \divide\@dzz by65536 \advance\@dz by-1\@dzz
% \@dz is now in [0,360)
\@d@z=1\@dz \divide\@dz by15 \s@c=\number\@dz \multiply\@dz by15
\advance\@dzz by-1\@dz \advance\s@c by1 \@dz=65536\@d@z
% \@d@z is angle in range[0,15) in dodecant \s@c all measured positively
\ifnum\s@c=1            %time zone 1
\m@l{\@dz}{-0.00227161}{+1}
\@dx=\@d@x
\m@l{\@dz}{0.0172546}{+0}
\@dy=\@d@x\fi
\ifnum\s@c=2            %time zone 2
\m@l{\@dz}{-0.00666002}{+1.06582}
\@dx=\@d@x
\m@l{\@dz}{0.0160787}{+0.0176380}
\@dy=\@d@x\fi
\ifnum\s@c=3            %time zone 3
\m@l{\@dz}{-0.0105945}{+1.18386}
\@dx=\@d@x
\m@l{\@dz}{0.0138071}{+0.0857865}
\@dy=\@d@x\fi
\ifnum\s@c=4            %time zone 4
\m@l{\@dz}{-0.0138071}{+1.32842}
\@dx=\@d@x
\m@l{\@dz}{0.0105945}{+0.230350}
\@dy=\@d@x\fi
\ifnum\s@c=5            %time zone 5
\m@l{\@dz}{-0.0160787}{+1.46472}
\@dx=\@d@x
\m@l{\@dz}{0.00666002}{+0.466424}
\@dy=\@d@x\fi
\ifnum\s@c=6            %time zone 6
\m@l{\@dz}{-0.0172546}{+1.55291}
\@dx=\@d@x
\m@l{\@dz}{0.00227161}{+0.795555}
\@dy=\@d@x\fi
\ifnum\s@c=7            %time zone 7
\m@l{\@dz}{-0.0172546}{+1.55291}
\@dx=\@d@x
\m@l{\@dz}{-0.00227161}{+1.20444}
\@dy=\@d@x\fi
\ifnum\s@c=8            %time zone 8
\m@l{\@dz}{-0.0160787}{+1.42944}
\@dx=\@d@x
\m@l{\@dz}{-0.00666002}{+1.66522}
\@dy=\@d@x\fi
\ifnum\s@c=9            %time zone 9
\m@l{\@dz}{-0.0138071}{+1.15685}
\@dx=\@d@x
\m@l{\@dz}{-0.0105945}{+2.13737}
\@dy=\@d@x\fi
\ifnum\s@c=10           %time zone 10
\m@l{\@dz}{-0.0105945}{+0.723161}
\@dx=\@d@x
\m@l{\@dz}{-0.0138071}{+2.57106}
\@dy=\@d@x\fi
\ifnum\s@c=11           %time zone 11
\m@l{\@dz}{-0.00666002}{+0.132979}
\@dx=\@d@x
\m@l{\@dz}{-0.0160787}{+2.91180}
\@dy=\@d@x\fi
\ifnum\s@c=12           %time zone 12
\m@l{\@dz}{-0.00227161}{-0.591111}
\@dx=\@d@x
\m@l{\@dz}{-0.0172546}{+3.10582}
\@dy=\@d@x\fi
\ifnum\s@c=13           %time zone 13
\m@l{\@dz}{0.00227161}{-1.40889}
\@dx=\@d@x
\m@l{\@dz}{-0.0172546}{+3.10582}
\@dy=\@d@x\fi
\ifnum\s@c=14           %time zone 14
\m@l{\@dz}{0.00666002}{-2.26462}
\@dx=\@d@x
\m@l{\@dz}{-0.0160787}{+2.87653}
\@dy=\@d@x\fi
\ifnum\s@c=15           %time zone 15
\m@l{\@dz}{0.0105945}{-3.09088}
\@dx=\@d@x
\m@l{\@dz}{-0.0138071}{+2.39949}
\@dy=\@d@x\fi
\ifnum\s@c=16           %time zone 16
\m@l{\@dz}{0.0138071}{-3.81370}
\@dx=\@d@x
\m@l{\@dz}{-0.0105945}{+1.67667}
\@dy=\@d@x\fi
\ifnum\s@c=17           %time zone 17
\m@l{\@dz}{0.0160787}{-4.35889}
\@dx=\@d@x
\m@l{\@dz}{-0.00666002}{+0.732385}
\@dy=\@d@x\fi
\ifnum\s@c=18           %time zone 18
\m@l{\@dz}{0.0172546}{-4.65874}
\@dx=\@d@x
\m@l{\@dz}{-0.00227161}{-0.386666}
\@dy=\@d@x\fi
\ifnum\s@c=19           %time zone 19
\m@l{\@dz}{0.0172546}{-4.65874}
\@dx=\@d@x
\m@l{\@dz}{0.00227161}{-1.61333}
\@dy=\@d@x\fi
\ifnum\s@c=20           %time zone 20
\m@l{\@dz}{0.0160787}{-4.32361}
\@dx=\@d@x
\m@l{\@dz}{0.00666002}{-2.86403}
\@dy=\@d@x\fi
\ifnum\s@c=21           %time zone 21
\m@l{\@dz}{0.0138071}{-3.64213}
\@dx=\@d@x
\m@l{\@dz}{0.0105945}{-4.04439}
\@dy=\@d@x\fi
\ifnum\s@c=22           %time zone 22
\m@l{\@dz}{0.0105945}{-2.63018}
\@dx=\@d@x
\m@l{\@dz}{0.0138071}{-5.05635}
\@dy=\@d@x\fi
\ifnum\s@c=23           %time zone 23
\m@l{\@dz}{0.00666002}{-1.33178}
\@dx=\@d@x
\m@l{\@dz}{0.0160787}{-5.80598}
\@dy=\@d@x\fi
\ifnum\s@c=24           %time zone 24
\m@l{\@dz}{0.00227161}{+0.182227}
\@dx=\@d@x
\m@l{\@dz}{0.0172546}{-6.21165}
\@dy=\@d@x\fi

\@d@x=1.25pt \divide\@d@x by2048
\multiply\@dx by\@d@x \divide\@dx by32
\multiply\@dy by\@d@x \divide\@dy by32

% increasing the distance by  #3
\@dz=#3pt \divide\@dz by2048
\multiply\@dx by\number\@dz \multiply\@dy by\number\@dz
\divide\@dx by32 \divide\@dy by32
% adjusting for font size
% normal 8, small 7, foot 6, script 5, tiny 4
% what we have here is for  crux.sty -3.8, -3.95, -4.1,  -4.4, -5.5
% and we need for           2130.sty -3.8, -3.95, -3.95, -4.1, -4.8
\rm
\ifnum\gs@dfont=1 \multiply\@dx by8 \multiply\@dy by8 \advance\@dx by-3.8ex
\fi
\ifnum\gs@dfont=2 \multiply\@dx by7 \multiply\@dy by7 \advance\@dx by-3.95ex
\fi
\ifnum\gs@dfont=3 \multiply\@dx by6 \multiply\@dy by6 \advance\@dx by-3.95ex
\fi
\ifnum\gs@dfont=4 \multiply\@dx by5 \multiply\@dy by5 \advance\@dx by-4.1ex
\fi
\ifnum\gs@dfont=5 \multiply\@dx by4 \multiply\@dy by4 \advance\@dx by-4.8ex
\fi
% moving the origin - #2 is the object to be put
\setbox0=\hbox{#2} \advance\@dx by-0.5\wd0
\@dz=\dp0\advance\@dz by-\ht0 \divide\@dz by2
\advance\@dy by\@dz \raisebox{\@dy}{\kern\@dx #2}}
% the MAIN macro
\def\angleput#1{\@ifnextchar [{\@ngleput#1}{\@ngleput#1[1]}}
\def\@ngleput#1[#2](#3,#4)#5{\put(#3,#4){\@x@p{#1}{#5}{#2}}}
% USAGE
% \angleput{degrees}[multiplier](xcoord,ycoord){object}
% SHORTFORMS
% geographic putting commands
\def\cput(#1,#2)#3{\angleput{0}[0](#1,#2){#3}}  % centre #3 on (#1,#2)
\def\eput(#1,#2)#3{\angleput{0}(#1,#2){#3}}     % put #3 east  of (#1,#2)
\def\nput(#1,#2)#3{\angleput{90}(#1,#2){#3}}    % put #3 north of (#1,#2)
\def\sput(#1,#2)#3{\angleput{270}(#1,#2){#3}}   % put #3 south of (#1,#2)
\def\wput(#1,#2)#3{\angleput{180}(#1,#2){#3}}   % put #3 west  of (#1,#2)
\def\neput(#1,#2)#3{\angleput{45}(#1,#2){#3}}   % put #3 ne of (#1,#2)
\def\seput(#1,#2)#3{\angleput{315}(#1,#2){#3}}  % put #3 se of (#1,#2)
\def\nwput(#1,#2)#3{\angleput{135}(#1,#2){#3}}  % put #3 nw of (#1,#2)
\def\swput(#1,#2)#3{\angleput{225}(#1,#2){#3}}  % put #3 sw of (#1,#2)
\def\lcm{\mathop{\operator@font lcm}}
\makeatother

%%%%%%%%%%%%%%%%%%%%%%%  END  fullpict.sty  %%%%%%%%%%%%%%%%%%%%%%%%%%