%%
%% This is file `graphics.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% graphics.dtx  (with options: `package')
%% 
%% The source is maintained by the LaTeX Project team and bug
%% reports for it can be opened at https://latex-project.org/bugs/
%% (but please observe conditions on bug reports sent to that address!)
%% 
%% 
%% graphics.dtx Copyright (C) 1994      David Carlisle Sebastian Rahtz
%%              Copyright (C) 1995-2024 LaTeX Project
%% The LaTeX Project and any individual authors listed elsewhere
%% in this file.
%%
%% This file is part of the Standard LaTeX `Graphics Bundle'.
%% It may be distributed under the terms of the LaTeX Project Public
%% License, as described in lppl.txt in the base LaTeX distribution.
%% Either version 1.3c or, at your option, any later version.
%%
%% This file has the LPPL maintenance status "maintained".
%%
\NeedsTeXFormat{LaTeX2e}[1995/12/01]

\DeclareRelease{}{1994-06-01}{graphics-2017-06-25.sty}
\DeclareRelease{}{2017-06-25}{graphics-2017-06-25.sty}
\DeclareCurrentRelease{}{2019-10-01}

\ProvidesPackage{graphics}
          [2024/05/23 v1.4g  Standard LaTeX Graphics (DPC,SPQR)]
\edef\Gin@codes{%
 \catcode`\noexpand\^^A\the\catcode`\^^A\relax
 \catcode`\noexpand\"\the\catcode`\"\relax
 \catcode`\noexpand\*\the\catcode`\*\relax
 \catcode`\noexpand\!\the\catcode`\!\relax
 \catcode`\noexpand\:\the\catcode`\:\relax}
\catcode`\^^A=\catcode`\%
\@makeother\"%
\catcode`\*=11
\@makeother\!%
\@makeother\:%
\RequirePackage{trig}
\providecommand\Grot@start{\@latex@error{Rotation not supported}\@ehc
            \global\let\Grot@start\relax}
\providecommand\Grot@end{}
\providecommand\Gscale@start{\@latex@error{Scaling not supported}\@ehc
            \global\let\Gscale@start\relax}
\providecommand\Gscale@end{}
\edef\Gread@BBox{\@percentchar\@percentchar BoundingBox}
\DeclareOption{draft}{\Gin@drafttrue}
\DeclareOption{final}{\Gin@draftfalse}
\newif\ifGin@draft
\DeclareOption{hiresbb}{%
  \edef\Gread@BBox{\@percentchar\@percentchar HiResBoundingBox}}
\DeclareOption{demo}{%
  \AtBeginDocument{%
    \def\Ginclude@graphics#1{%
      \rule{\@ifundefined{Gin@@ewidth}{150pt}{\Gin@@ewidth}}%
      {\@ifundefined{Gin@@eheight}{100pt}{\Gin@@eheight}}}}}
\newif\ifGin@setpagesize\Gin@setpagesizetrue
\DeclareOption{setpagesize}{\Gin@setpagesizetrue}
\DeclareOption{nosetpagesize}{\Gin@setpagesizefalse}
\providecommand\Gin@driver{}
\DeclareOption{dvips}{\def\Gin@driver{dvips.def}}
\DeclareOption{xdvi}{\ExecuteOptions{dvips}}
\DeclareOption{dvipdf}{\def\Gin@driver{dvipdf.def}}
\DeclareOption{dvipdfm}{\def\Gin@driver{dvipdfmx.def}}
\DeclareOption{dvipdfmx}{\def\Gin@driver{dvipdfmx.def}}
\DeclareOption{xetex}{\def\Gin@driver{xetex.def}}
\DeclareOption{pdftex}{\def\Gin@driver{pdftex.def}}
\DeclareOption{luatex}{\def\Gin@driver{luatex.def}}
\DeclareOption{dvisvgm}{\def\Gin@driver{dvisvgm.def}}
\DeclareOption{dvipsone}{\def\Gin@driver{dvipsone.def}}
\DeclareOption{dviwindo}{\ExecuteOptions{dvipsone}}
\DeclareOption{emtex}{\def\Gin@driver{emtex.def}}
\DeclareOption{dviwin}{\def\Gin@driver{dviwin.def}}
\DeclareOption{oztex}{\ExecuteOptions{dvips}}
\DeclareOption{textures}{\def\Gin@driver{textures.def}}
\DeclareOption{pctexps}{\def\Gin@driver{pctexps.def}}
\DeclareOption{pctexwin}{\def\Gin@driver{pctexwin.def}}
\DeclareOption{pctexhp}{\def\Gin@driver{pctexhp.def}}
\DeclareOption{pctex32}{\def\Gin@driver{pctex32.def}}
\DeclareOption{truetex}{\def\Gin@driver{truetex.def}}
\DeclareOption{tcidvi}{\def\Gin@driver{tcidvi.def}}
\DeclareOption{vtex}{\def\Gin@driver{vtex.def}}
\DeclareOption{debugshow}{\catcode`\^^A=9 \let\GDebug\typeout}
\InputIfFileExists{graphics.cfg}{}{}
\DeclareOption{hiderotate}{%
  \def\Grot@start{\begingroup\setbox\z@\hbox\bgroup}
  \def\Grot@end{\egroup\endgroup}}
\DeclareOption{hidescale}{%
  \def\Gscale@start{\begingroup\setbox\z@\hbox\bgroup}
  \def\Gscale@end{\egroup\endgroup}}
\ProcessOptions
\if!\Gin@driver!
  \PackageError{graphics}
    {No driver specified}
    {You should make a default driver option in a file \MessageBreak
     graphics.cfg\MessageBreak
     eg: \protect\ExecuteOptions{textures}%
     }
\else
  \PackageInfo{graphics}{Driver file: \Gin@driver}
  \@ifundefined{ver@\Gin@driver}{\input{\Gin@driver}}{}
\fi
\def\Gin@llx{0}
\let\Gin@lly\Gin@llx
\let\Gin@urx\Gin@llx
\let\Gin@ury\Gin@llx
\let\Gin@nat@width\leftmarginv
\let\Gin@nat@height\leftmarginvi
\newif\ifGin@clip
\newcommand\DeclareGraphicsExtensions[1]{%
  \edef\Gin@extensions{\zap@space#1 \@empty}}
\providecommand\Gin@extensions{}
\protected\def\includegraphics{%
  \leavevmode
  \@ifstar
    {\Gin@cliptrue\Gin@i}%
    {\Gin@clipfalse\Gin@i}}
\def\Gin@i{%
  \@ifnextchar[%]
    \Gin@ii
    {\Gin@bboxfalse\Ginclude@graphics}}
\def\Gin@ii[#1]{%
  \@ifnextchar[%]
    {\Gin@iii[#1]}
    {\Gin@iii[0,0][#1]}}
\def\Gin@iii[#1,#2][#3,#4]#5{%
  \begingroup
  \Gin@bboxtrue
  \Gin@defaultbp\Gin@llx{#1}%
  \Gin@defaultbp\Gin@lly{#2}%
  \Gin@defaultbp\Gin@urx{#3}%
  \Gin@defaultbp\Gin@ury{#4}%
  \Ginclude@graphics{#5}%
  \endgroup}
\def\Gin@defaultbp#1#2{%
  \afterassignment\Gin@def@bp\dimen@#2bp\relax{#1}{#2}}
\def\Gin@def@bp#1\relax#2#3{%
   \if!#1!%
     \def#2{#3}%
    \else
      \dimen@.99626\dimen@
      \edef#2{\strip@pt\dimen@}%
    \fi}
\def\DeclareGraphicsRule#1#2#3#4{%
  \edef\@tempa{\string *}\def\@tempb{#3}%
  \expandafter\edef\csname Gin@rule@#1\endcsname##1%
       {{#2}%
        {\ifx\@tempa\@tempb\noexpand\Gin@ext\else#3\fi}%
        {\ifx\indent#4\indent##1\else#4\fi}}}
\def\graphicspath#1{\def\Ginput@path{#1}}
\ifx\Ginput@path\@undefined
  \let\Ginput@path\input@path
\fi
\def\Gin@getbase#1{%
  \edef\Gin@tempa{%
    \def\noexpand\@tempa####1#1\space{%
      \def\noexpand\Gin@base{####1}}}%
  \IfFileExists{\filename@area\filename@base#1}%
    {\Gin@tempa
     \edef\uq@filef@und{\expandafter\unquote@name
                        \expandafter{\@filef@und}}%
     \expandafter\@tempa\uq@filef@und
     \edef\Gin@ext{#1}}{}}%
\let\Gin@ext\relax
\def\Gin@sepdefault{.}
\edef\Gin@gzext{\detokenize{gz}}
\def\Gin@set@curr@file#1{%
  \begingroup
    \escapechar\m@ne
    \xdef\@curr@file{\expandafter\string\csname\@firstofone#1\@empty\endcsname}%
  \endgroup}
\ifx\set@curr@file@nosearch\@undefined
  \ifx\set@curr@file\@undefined
    \def\quote@name#1{"\quote@@name#1\@gobble""}
    \def\quote@@name#1"{#1\quote@@name}
    \def\unquote@name#1{\quote@@name#1\@gobble"}
  \else
    \let\Gin@set@curr@file\set@curr@file
  \fi
\else
  \let\Gin@set@curr@file\set@curr@file@nosearch
\fi
\def\Ginclude@graphics#1{%
  \ifx\detokenize\@undefined\else
    \edef\Gin@extensions{\detokenize\expandafter{\Gin@extensions}}%
  \fi
  \begingroup
  \let\input@path\Ginput@path
  \Gin@set@curr@file{#1}%
  \expandafter\filename@parse\expandafter{\@curr@file}%
  \ifx\filename@ext\Gin@gzext
    \expandafter\filename@parse\expandafter{\filename@base}%
    \ifx\filename@ext\relax
      \let\filename@ext\Gin@gzext
    \else
      \edef\filename@ext{\filename@ext\Gin@sepdefault\Gin@gzext}%
    \fi
  \fi
  \ifx\filename@ext\relax
    \@for\Gin@temp:=\Gin@extensions\do{%
      \ifx\Gin@ext\relax
        \Gin@getbase\Gin@temp
      \fi}%
  \else
    \Gin@getbase{\Gin@sepdefault\filename@ext}%
    \ifnum0%
        \ifx\Gin@ext\relax 1%
        \else \@ifundefined{Gin@rule@\Gin@ext}{1}{0}%
        \fi >0
      \let\Gin@extsaved\Gin@ext
      \let\Gin@savedbase\filename@base
      \let\Gin@savedext\filename@ext
      \let\Gin@ext\relax
      \edef\filename@base{\filename@base\Gin@sepdefault\filename@ext}%
      \let\filename@ext\relax
      \@for\Gin@temp:=\Gin@extensions\do{%
          \ifx\Gin@ext\relax
            \Gin@getbase\Gin@temp
          \fi}%
      \ifx\Gin@ext\relax
        \let\Gin@ext\Gin@extsaved
        \let\filename@base\Gin@savedbase
        \let\filename@ext\Gin@savedext
      \fi
    \fi
    \ifx\Gin@ext\relax
       \@warning{File `#1' not found}%
       \def\Gin@base{\filename@area\filename@base}%
       \edef\Gin@ext{\Gin@sepdefault\filename@ext}%
    \fi
  \fi
    \ifx\Gin@ext\relax
         \@latex@error{File `#1' not found}%
         {I could not locate the file with any of these extensions:^^J%
          \Gin@extensions^^J\@ehc}%
    \else
       \@ifundefined{Gin@rule@\Gin@ext}%
         {\ifx\Gin@rule@*\@undefined
            \@latex@error{Unknown graphics extension: \Gin@ext}\@ehc
          \else
            \expandafter\Gin@setfile\Gin@rule@*{\Gin@base\Gin@ext}%
           \fi}%
         {\expandafter\expandafter\expandafter\Gin@setfile
             \csname Gin@rule@\Gin@ext\endcsname{\Gin@base\Gin@ext}}%
    \fi
  \endgroup}
\newif\ifGread@\Gread@true
\def\Gin@setfile#1#2#3{%
  \ifx\\#2\\\Gread@false\fi
  \ifGin@bbox\else
    \ifGread@
      \csname Gread@%
         \expandafter\ifx\csname Gread@#1\endcsname\relax
           eps%
         \else
           #1%
         \fi
      \endcsname{\Gin@base#2}%
    \else
      \Gin@nosize{#3}%
    \fi
  \fi
  \Gin@viewport@code
  \Gin@nat@height\Gin@ury bp%
  \advance\Gin@nat@height-\Gin@lly bp%
  \Gin@nat@width\Gin@urx bp%
  \advance\Gin@nat@width-\Gin@llx bp%
  \Gin@req@sizes
  \expandafter\ifx\csname Ginclude@#1\endcsname\relax
    \Gin@drafttrue
    \expandafter\ifx\csname Gread@#1\endcsname\relax
      \@latex@error{Can not include graphics of type: #1}\@ehc
      \global\expandafter\let\csname Gread@#1\endcsname\@empty
    \fi
  \fi
  \leavevmode
  \ifGin@draft
      \hb@xt@\Gin@req@width{%
        \vrule\hss
        \vbox to \Gin@req@height{%
           \hrule \@width \Gin@req@width
           \vss
           \edef\@tempa{#3}%
           \rlap{ \ttfamily\expandafter\strip@prefix\meaning\@tempa}%
           \vss
           \hrule}%
        \hss\vrule}%
  \else
    \@addtofilelist{#3}%
    \ProvidesFile{#3}[Graphic file (type #1)]%
    \setbox\z@\hbox{\csname Ginclude@#1\endcsname{#3}}%
    \dp\z@\z@
    \ht\z@\Gin@req@height
    \wd\z@\Gin@req@width
  \box\z@
  \fi}
\let\Gin@decode\@empty
\def\Gin@exclamation{!}
\let\Gin@page\@empty
\def\Gin@pagebox{cropbox}
\newif\ifGin@interpolate
\let\Gin@log\wlog
\let\Gin@req@sizes\relax
\def\Gin@scalex{1}%
\let\Gin@scaley\Gin@exclamation
\let\Gin@req@height\Gin@nat@height
\let\Gin@req@width\Gin@nat@width
\let\Gin@viewport@code\relax
\def\Gin@nosize#1{%
  \@latex@error
      {Cannot determine size of graphic in #1 (no size specified)}%
      \@ehc}
\newif\ifGin@bbox
\def\Gread@generic#1#2{%
  \edef\Gread@attr@hash{%
    \ifx\Gin@pagebox\@empty\else
      :\Gin@pagebox
    \fi
    \ifx\Gin@page\@empty\else
      :P\Gin@page
    \fi
  }%
  \@ifundefined{#1 bbox\Gread@attr@hash}%
    {\Gread@generic@aux{#1}{#2}}
    {%
      \expandafter\global\expandafter\let\expandafter\@gtempa
        \csname #1 bbox\Gread@attr@hash\endcsname
    }%
  \expandafter\Gread@parse@bb\@gtempa\\%
}
\def\Gread@generic@aux#1#2{%
  \begingroup
  \@tempcnta\z@
  \loop\ifnum\@tempcnta<\@xxxii
     \catcode\@tempcnta14 %
     \advance\@tempcnta\@ne
  \repeat
  \catcode`\^^?14 %
  \let\do\@makeother
  \dospecials
  \catcode`\ 10 %
  \catcode`\^^I10 %
  \endlinechar13 %
  \catcode\endlinechar5 %
  \@makeother\:%
  \@makeother\-%
  \immediate\openin\@inputcheck\quote@name{#1} %
  #2{#1}%
  \ifGin@bbox
    \expandafter\xdef\csname #1 bbox\Gread@attr@hash\endcsname{\@gtempa}%
  \else
    \@latex@error
      {Cannot determine size of graphic in #1 (no BoundingBox)}%
      \@ehc
    \gdef\@gtempa{0 0 72 72 }%
  \fi
  \endgroup
}
\def\Gread@eps#1{%
  \Gread@generic{#1}\Gread@eps@aux
}
\def\Gread@eps@aux#1{%
  \ifeof\@inputcheck
    \@latex@error{File `#1' not found}\@ehc
  \else
     \Gread@true
     \let\@tempb\Gread@false
     \loop
       \read\@inputcheck to\@tempa
       \ifeof\@inputcheck
         \Gread@false
       \else
         \expandafter\Gread@find@bb\@tempa:.\\%
       \fi
     \ifGread@
     \repeat
    \immediate\closein\@inputcheck
  \fi
}
\long\def\Gread@find@bb#1:#2#3\\{%
  \def\@tempa{#1}%
  \ifx\@tempa\Gread@BBox
    \Gread@test@atend#2#3()\\%
  \fi}
\def\Gread@test@atend#1(#2)#3\\{%
  \def\@tempa{#2}%
  \ifx\@tempa\Gread@atend
    \Gread@true
    \let\@tempb\relax
  \else
    \gdef\@gtempa{#1}%
    \@tempb
    \Gin@bboxtrue
  \fi}
\def\Gread@parse@bb#1 #2 #3 #4 #5\\{%
  \Gin@defaultbp\Gin@llx{#1}%
  \Gin@defaultbp\Gin@lly{#2}%
  \Gin@defaultbp\Gin@urx{#3}%
  \Gin@defaultbp\Gin@ury{#4}}%
\def\Gread@atend{atend}
\def\Gin@viewport{%
  \let\Gin@ollx\Gin@llx
  \let\Gin@olly\Gin@lly
  \let\Gin@ourx\Gin@urx
  \let\Gin@oury\Gin@ury
  \dimen@\Gin@llx\p@\advance\dimen@ \Gin@vurx\p@
                      \edef\Gin@urx{\strip@pt\dimen@}%
  \dimen@\Gin@lly\p@\advance\dimen@ \Gin@vury\p@
                      \edef\Gin@ury{\strip@pt\dimen@}%
  \dimen@\Gin@llx\p@\advance\dimen@ \Gin@vllx\p@
                      \edef\Gin@llx{\strip@pt\dimen@}%
  \dimen@\Gin@lly\p@\advance\dimen@ \Gin@vlly\p@
                      \edef\Gin@lly{\strip@pt\dimen@}}
\def\Gin@trim{%
  \let\Gin@ollx\Gin@llx
  \let\Gin@olly\Gin@lly
  \let\Gin@ourx\Gin@urx
  \let\Gin@oury\Gin@ury
  \dimen@\Gin@llx\p@\advance\dimen@ \Gin@vllx\p@
                      \edef\Gin@llx{\strip@pt\dimen@}%
  \dimen@\Gin@lly\p@\advance\dimen@ \Gin@vlly\p@
                      \edef\Gin@lly{\strip@pt\dimen@}%
  \dimen@\Gin@urx\p@\advance\dimen@ -\Gin@vurx\p@
                      \edef\Gin@urx{\strip@pt\dimen@}%
  \dimen@\Gin@ury\p@\advance\dimen@ -\Gin@vury\p@
                      \edef\Gin@ury{\strip@pt\dimen@}}
\let\Gin@vllx\Gin@llx\let\Gin@vlly\Gin@llx
\let\Gin@vurx\Gin@llx\let\Gin@vury\Gin@llx
\let\Grot@height\@ovxx
\let\Grot@left\@ovyy
\let\Grot@right\@ovdx
\let\Grot@depth\@ovdy
\let\Grot@l\@ovro
\let\Grot@r\@ovri
\let\Grot@h\@xdim
\let\Grot@d\@ydim
\let\Grot@x\@linelen
\let\Grot@y\@dashdim
\protected\long\def\rotatebox#1#2{%
  \leavevmode
  \Grot@setangle{#1}%
  \setbox\z@\hbox{{#2}}%
  \Grot@x\z@
  \Grot@y\z@
  \Grot@box}
\def\Grot@setangle#1{\edef\Grot@angle{#1}}
\def\Grot@Px#1#2#3{%
        #1\Grot@cos#2%
        \advance#1-\Grot@sin#3}
\def\Grot@Py#1#2#3{%
        #1\Grot@sin#2%
        \advance#1\Grot@cos#3}
\def\Grot@box{%
  \begingroup
  \CalculateSin\Grot@angle
  \CalculateCos\Grot@angle
  \edef\Grot@sin{\UseSin\Grot@angle}%
  \edef\Grot@cos{\UseCos\Grot@angle}%
^^A   \GDebug{Rotate: angle \Grot@angle, sine is \Grot@sin,
^^A             cosine is \Grot@cos}%
  \Grot@r\wd\z@  \advance\Grot@r-\Grot@x
  \Grot@l\z@     \advance\Grot@l-\Grot@x
  \Grot@h\ht\z@  \advance\Grot@h-\Grot@y
  \Grot@d-\dp\z@ \advance\Grot@d-\Grot@y
  \ifdim\Grot@sin\p@>\z@
    \ifdim\Grot@cos\p@>\z@
      \Grot@Py\Grot@height \Grot@r\Grot@h%B
      \Grot@Px\Grot@right  \Grot@r\Grot@d%E
      \Grot@Px\Grot@left   \Grot@l\Grot@h%C
      \Grot@Py\Grot@depth  \Grot@l\Grot@d%D
    \else
      \Grot@Py\Grot@height \Grot@r\Grot@d%E
      \Grot@Px\Grot@right  \Grot@l\Grot@d%D
      \Grot@Px\Grot@left   \Grot@r\Grot@h%B
      \Grot@Py\Grot@depth  \Grot@l\Grot@h%C
    \fi
  \else
    \ifdim\Grot@cos\p@<\z@
      \Grot@Py\Grot@height \Grot@l\Grot@d%D
      \Grot@Px\Grot@right  \Grot@l\Grot@h%C
      \Grot@Px\Grot@left   \Grot@r\Grot@d%E
      \Grot@Py\Grot@depth  \Grot@r\Grot@h%B
    \else
      \Grot@Py\Grot@height \Grot@l\Grot@h%C
      \Grot@Px\Grot@right  \Grot@r\Grot@h%B
      \Grot@Px\Grot@left   \Grot@l\Grot@d%D
      \Grot@Py\Grot@depth  \Grot@r\Grot@d%E
    \fi
  \fi
  \advance\Grot@height\Grot@y
  \advance\Grot@depth\Grot@y
  \Grot@Px\dimen@  \Grot@x\Grot@y
  \Grot@Py\dimen@ii \Grot@x\Grot@y
  \dimen@-\dimen@     \advance\dimen@-\Grot@left
  \dimen@ii-\dimen@ii \advance\dimen@ii\Grot@y
^^A   \GDebug{Rotate: (l,r,h,d)^^J%
^^A Original \the\Grot@l,\the\Grot@r,\the\Grot@h,\the\Grot@d,^^J%
^^A New..... \the\Grot@left,\the\Grot@right,%
^^A          \the\Grot@height,\the\Grot@depth}%
  \setbox\z@\hbox{%
    \kern\dimen@
    \raise\dimen@ii\hbox{\Grot@start\box\z@\Grot@end}}%
  \ht\z@\Grot@height
  \dp\z@-\Grot@depth
  \advance\Grot@right-\Grot@left\wd\z@\Grot@right
  \leavevmode\box\z@
  \endgroup}
\protected\def\scalebox#1{%
  \@ifnextchar[{\Gscale@box{#1}}{\Gscale@box{#1}[#1]}}
\long\def\Gscale@box#1[#2]#3{%
  \leavevmode
  \def\Gscale@x{#1}\def\Gscale@y{#2}%
  \setbox\z@\hbox{{#3}}%
  \setbox\tw@\hbox{\Gscale@start\rlap{\copy\z@}\Gscale@end}%
  \ifdim#2\p@<\z@
    \ht\tw@-#2\dp\z@
    \dp\tw@-#2\ht\z@
  \else
    \ht\tw@#2\ht\z@
    \dp\tw@#2\dp\z@
  \fi
  \ifdim#1\p@<\z@
    \hb@xt@-#1\wd\z@{\kern-#1\wd\z@\box\tw@\hss}%
  \else
    \hb@xt@#1\wd\z@{\box\tw@\kern#1\wd\z@\hss}%
  \fi}
\protected\def\reflectbox{\Gscale@box-1[1]}
\protected\def\resizebox{%
  \leavevmode
  \@ifstar{\Gscale@@box\totalheight}{\Gscale@@box\height}}
\def\Gscale@@box#1#2#3{%
  \let\@tempa\Gin@exclamation
  \expandafter\def\expandafter\@tempb\expandafter{\string#2}%
  \expandafter\def\expandafter\@tempc\expandafter{\string#3}%
  \ifx\@tempb\@tempa
    \ifx\@tempc\@tempa
      \toks@{\mbox}%
    \else
      \toks@{\Gscale@box@dd{#3}#1}%
    \fi
  \else
    \ifx\@tempc\@tempa
      \toks@{\Gscale@box@dd{#2}\width}%
    \else
      \toks@{\Gscale@box@dddd{#2}\width{#3}#1}%
    \fi
  \fi
  \the\toks@}
\long\def\Gscale@box@dd#1#2#3{%
  \@begin@tempboxa\hbox{#3}%
    \setlength\@tempdima{#1}%
    \setlength\@tempdimb{#2}%
    \Gscale@div\@tempa\@tempdima\@tempdimb
    \Gscale@box\@tempa[\@tempa]{\box\@tempboxa}%
  \@end@tempboxa}
\long\def\Gscale@box@dddd#1#2#3#4#5{%
  \@begin@tempboxa\hbox{#5}%
    \setlength\@tempdima{#1}%
    \setlength\@tempdimb{#2}%
    \Gscale@div\@tempa\@tempdima\@tempdimb
    \setlength\@tempdima{#3}%
    \setlength\@tempdimb{#4}%
    \Gscale@div\@tempb\@tempdima\@tempdimb
    \ifGin@iso
      \ifdim\@tempa\p@>\@tempb\p@
        \let\@tempa\@tempb
      \else
        \let\@tempb\@tempa
      \fi
    \fi
    \Gscale@box\@tempa[\@tempb]{\box\@tempboxa}%
  \@end@tempboxa}
\newif\ifGin@iso
\def\Gscale@div#1#2#3{%
  \setlength\dimen@{#3}%
  \ifdim\dimen@=\z@
    \PackageError{graphics}{Division by 0}\@eha
    \dimen@#2%
  \fi
  \edef\@tempd{\the\dimen@}%
  \setlength\dimen@{#2}%
  \count@65536\relax
  \ifdim\dimen@<\z@
    \dimen@-\dimen@
    \count@-\count@
  \fi
  \ifdim\dimen@>\z@
    \loop
      \ifdim\ifnum\count@<\tw@\maxdimen\else\dimen@\fi<8192\p@
        \dimen@\tw@\dimen@
        \divide\count@\tw@
    \repeat
    \dimen@ii\@tempd\relax
    \divide\dimen@ii\count@
    \divide\dimen@\dimen@ii
  \fi
  \edef#1{\strip@pt\dimen@}}
\Gin@codes
\let\Gin@codes\relax
\endinput
%%
%% End of file `graphics.sty'.