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-% cancel.sty  version  2.1  12-Mar-2000.
-% Donald Arseneau         asnd@triumf.ca
-% I contribute this software to the public domain.  No rights reserved.
-%
-% Commands:
-% ~~~~~~~~~
-% \cancel    draws a diagonal line (slash) through its argument. 
-% \bcancel   uses the negative slope (a backslash). 
-% \xcancel   draws an X (actually \cancel plus \bcancel).
-% \cancelto{<value>}{<expression>} draws a diagonal arrow through the 
-%            expression, pointing to the value.
-%
-% The first three work in math and text mode, but \cancelto is only
-% for math mode.
-% The slope of the line or arrow depends on what is being cancelled.  
-%
-% Options:
-% ~~~~~~~~
-% Bt default, none of these commands affects the horizontal spacing, 
-% so they might over-print neighboring parts of the formula (or text).
-% They do add their height to the expression, so there should never be 
-% unintended vertical overlap.  There is a package option [makeroom] to 
-% increase the horizontal spacing to make room for the cancellation value.  
-% 
-% If you use the color package, then you can declare 
-%   \renewcommand{\CancelColor}{<color_command>}
-% and the cancellation marks will be printed in that color (e.g., \blue).
-% However, if you are using color, I recommend lightly shaded blocks rather
-% than diagonal arrows for cancelling.
-%
-% The option [thicklines] asks for heavier lines and arrows. This may be
-% useful when the lines are colored a light shade.
-%
-% The size (math style) of the \cancelto value depends on package options 
-% according to this table:
-%
-% Current style       [samesize]         [smaller]          [Smaller]
-% -------------       ----------------   ----------------   ----------------
-% \displaystyle       \displaystyle      \textstyle         \scriptstyle
-% \textstyle          \textstyle         \scriptstyle       \scriptstyle
-% \scriptstyle        \scriptstyle       \scriptscriptstyle \scriptscriptstyle 
-% \scriptscriptstyle  \scriptscriptstyle \scriptscriptstyle \scriptscriptstyle
-%
-% ("smaller" is the default behavior.  It gives textstyle limits in 
-% displaystyle, whereas "Smaller" gives scriptstyle limits.)
-%
-% This package is provided without guarantees or support.  Drawing slashes
-% through math to indicate "cancellation" is poor design.  I don't recommend
-% that you use this package at all.
-
-\ProvidesPackage{cancel}[2000/03/12 v2.1 Cancel math terms]
-
-\newcommand{\CancelColor}{}
-\newcommand{\cancelto}{1}% default option = smaller
-\let\canto@fil\hidewidth
-\let\canc@thinlines\thinlines
-
-\DeclareOption{samesize}{\def\cancelto{999}}
-\DeclareOption{smaller}{\def\cancelto{1}}
-\DeclareOption{Smaller}{\def\cancelto{0}}
-\DeclareOption{makeroom}{\def\canto@fil{\hfil}}
-\DeclareOption{overlap}{\let\canto@fil\hidewidth}
-\DeclareOption{thicklines}{\let\canc@thinlines\thicklines}
-
-\ProcessOptions
-
-\DeclareRobustCommand\cancel[1]{\ifmmode
-  \mathpalette{\@cancel{\@can@slash{}}}{#1}\else 
-  \@cancel{\@can@slash{}}\hbox{#1}\fi}
-\DeclareRobustCommand\bcancel[1]{\ifmmode
-  \mathpalette{\@cancel{\@can@slash{-}}}{#1}\else 
-  \@cancel{\@can@slash{-}}\hbox{#1}\fi}
-\DeclareRobustCommand\xcancel[1]{\ifmmode
-  \mathpalette{\@cancel{\@can@slash{+}\@can@slash{-}}}{#1}\else 
-  \@cancel{\@can@slash{+}\@can@slash{-}}\hbox{#1}\fi}
-
-\newcommand\@cancel[3]{%
-\@begin@tempboxa\hbox{\m@th$#2{#3}$}%
-\dimen@\height
-\setbox\@tempboxa\hbox{$\m@th\vcenter{\box\@tempboxa}$}%
-\advance\dimen@-\height % the difference in height
-\unitlength\p@ \canc@thinlines
-{\/\raise\dimen@\hbox{\ooalign{#1\hfil\box\@tempboxa\hfil \cr}}}%
-\@end@tempboxa
-}
-
-\def\@can@slash#1{\canto@fil$\m@th \CancelColor\vcenter{\hbox{%
-\dimen@\width \@min@pt\dimen@ 2\@min@pt\totalheight6%
-\ifdim\totalheight<\dimen@ % wide
- \@min@pt\dimen@ 8%
- \@tempcnta\totalheight \multiply\@tempcnta 5 \divide\@tempcnta\dimen@
- \advance\dimen@ 2\p@ %  "+2"
- \edef\@tempa{(\ifcase\@tempcnta 6,#11\or 4,#11\or 2,#11\or 4,#13\else 1,#11\fi
-   ){\strip@pt\dimen@}}%
-\else % tall
- \@min@pt\totalheight8% 
- \advance\totalheight2\p@ % "+2"
- \@tempcnta\dimen@ \multiply\@tempcnta 5 \divide\@tempcnta\totalheight
- \dimen@ \ifcase\@tempcnta .16\or .25\or .5\or .75\else 1\fi \totalheight
- \edef\@tempa{(\ifcase\@tempcnta 1,#16\or 1,#14\or 1,#12\or 3,#14\else 1,#11\fi
-   ){\strip@pt\dimen@}}%
-\fi
-\expandafter\line\@tempa}}$\canto@fil \cr}
-
-\ifcase\cancelto
- \def\cancelto#1#2{\mathchoice    %  Smaller option
-  {\@cancelto\scriptstyle{#1}\displaystyle{#2}}%
-  {\@cancelto\scriptstyle{#1}\textstyle{#2}}%
-  {\@cancelto\scriptscriptstyle{#1}\scriptstyle{#2}}%
-  {\@cancelto\scriptscriptstyle{#1}\scriptscriptstyle{#2}}%
-  }
-\or
- \def\cancelto#1#2{\mathchoice    %  smaller option (default)
-  {\@cancelto\textstyle{#1}\displaystyle{#2}}%
-  {\@cancelto\scriptstyle{#1}\textstyle{#2}}%
-  {\@cancelto\scriptscriptstyle{#1}\scriptstyle{#2}}%
-  {\@cancelto\scriptscriptstyle{#1}\scriptscriptstyle{#2}}%
-  }
-\else
- \def\cancelto#1#2{\mathchoice    %  samesize option
-  {\@cancelto\textstyle{#1}\displaystyle{#2}}%
-  {\@cancelto\textstyle{#1}\textstyle{#2}}%
-  {\@cancelto\scriptstyle{#1}\scriptstyle{#2}}%
-  {\@cancelto\scriptscriptstyle{#1}\scriptscriptstyle{#2}}%
-  }
-\fi
-
-\newcommand\@cancelto[4]{%
-\@begin@tempboxa\hbox{\m@th$#3{#4}$}%
-\dimen@\width % wide
-\@min@pt\dimen@ 2\@min@pt\totalheight4
-\ifdim\totalheight<\dimen@
- \@tempcnta\totalheight \multiply\@tempcnta 5 \divide\@tempcnta\dimen@
- \@tempdimb 3\p@ % extra width for arrowhead ("+2")
- \advance\dimen@ \ifcase\@tempcnta 5\or 5\or 4\or 3\else 2\fi \p@
- \@min@pt\dimen@9\advance\dimen@\p@ 
- \edef\@tempa{\ifcase\@tempcnta 5441\or 5441\or 5421\or 4443\else 3611\fi
-      {\strip@pt\dimen@}{\strip@pt\@tempdimb}}%
- \def\@tempb{Cancel #4 to #2; case wide }%
-\else % tall
- \advance\totalheight3\p@ % "+2"
- \@tempcnta\dimen@ \multiply\@tempcnta 5 \divide\@tempcnta\totalheight
- \advance\totalheight3\p@ % "+2"
- \dimen@ \ifcase\@tempcnta .25\or .25\or .5\or .75\else 1\fi \totalheight
- \@tempdimb \ifcase\@tempcnta .8\or .8\or 1.2\or 1.5\else 2\fi \p@
- \edef\@tempa{\ifcase\@tempcnta 0814\or 0814\or 1812\or 2734\else 3611\fi
-      {\strip@pt\dimen@}{\strip@pt\@tempdimb}}%
-\fi
-\dimen@\height
-\setbox\@tempboxa\hbox{$\m@th\vcenter{\box\@tempboxa}$}%
-\advance\dimen@-\height % the difference in height
-\unitlength\p@ \canc@thinlines
-{\/\raise\dimen@\hbox{\expandafter\canto@vector\@tempa{#1}{#2}}}%
-\@end@tempboxa
-}
-
-% #1, #2 offset of label   #6 extra width to clear arrowhead
-% #3, #4 vector direction  #7 superscript label style
-% #5 vector width          #8 superscript label
-\def\canto@vector#1#2#3#4#5#6#7#8{%
-  \dimen@.5\p@
-  \setbox\z@\vbox{\boxmaxdepth.5\p@
-   \hbox{\kern-1.2\p@\kern#1\dimen@$#7{#8}\m@th$}}%
-  \ifx\canto@fil\hidewidth  \wd\z@\z@ \else \kern-#6\unitlength \fi
-  \ooalign{%
-    \canto@fil$\m@th \CancelColor
-    \vcenter{\hbox{\dimen@#6\unitlength \kern\dimen@
-      \multiply\dimen@#4\divide\dimen@#3 \vrule\@depth\dimen@\@width\z@
-      \vector(#3,#4){#5}%
-    }}^{\raise#2\dimen@\copy\z@\kern-\scriptspace}$%
-    \canto@fil \cr
-    \hfil \box\@tempboxa \kern\wd\z@ \hfil \cr}}
-
-\def\@min@pt#1#2{\ifdim#1<#2\p@ #1#2\p@ \relax\fi}