%PDF-
%PDF-
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%% This is file `revtex4-1.cls',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% revtex4-1.dtx (with options: `kernel')
%% ltxutil.dtx (with options: `kernel')
%% ltxfront.dtx (with options: `kernel')
%% ltxgrid.dtx (with options: `kernel')
%% revtex4-1.dtx (with options: `options')
%% ltxutil.dtx (with options: `options')
%% ltxfront.dtx (with options: `options')
%% ltxgrid.dtx (with options: `options')
%% revtex4-1.dtx (with options: `package')
%%
%% This file is part of the APS files in the REVTeX 4 distribution.
%% For the version number, search on the string
%% Original version by David Carlisle
%% Modified by Arthur Ogawa (mailto:arthur_ogawa at sbcglobal dot net)
%%
%% Copyright (c) 2009 The American Physical Society.
%% http://publish.aps.org/revtex4/
%% mailto:revtex4@aps.org
%%
%% See the REVTeX 4 README file for restrictions and more information.
%%
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[2010/07/25/20:33:00 4.1r (http://publish.aps.org/revtex4/ for documentation)]% \fileversion
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Copyright (c) 2009 The American Physical Society.^^J
mailto:revtex@aps.org^^J
Licensed under the LPPL:^^Jhttp://www.ctan.org/tex-archive/macros/latex/base/lppl.txt^^J
Arthur Ogawa <arthur_ogawa at sbcglobal dot net>^^J
Based on work by David Carlisle <david at dcarlisle.demon.co.uk>%
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\def\){\string\)}%
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\def\tally@float#1{%
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\@booleanfalse\@temp@sw
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\divide\dimen@\@twopowerfourteen
\@ifdim{\wd\@tempboxa<\textwidth}{%
\advance\dimen@\ht\@tempa
\global\ht\@tempa\dimen@
}{%
\advance\dimen@\dp\@tempa
\global\dp\@tempa\dimen@
}%
}{}%
}{}%
}%
\def\total@float#1{%
\expandafter\let
\expandafter\@tempa
\csname fbox@\csname ftype@#1\endcsname\endcsname
\@ifnotrelax\@tempa{%
\@ifhbox\@tempa{%
\@tempdima\the\ht\@tempa\divide\@tempdima\@twopowertwo\@tempcnta\@tempdima
\@tempdimb\the\dp\@tempa\divide\@tempdimb\@twopowertwo\@tempcntb\@tempdimb
\class@info{Total #1: Column(\the\@tempcnta pt), Page(\the\@tempcnta pt)}%
}{}%
}{}%
}%
\def\write@float#1{\write@@float{#1}{#1}}%
\def\endwrite@float{\@Esphack}%
\def\write@floats#1{\write@@float{#1*}{#1}}%
\def\endwrite@floats{\@Esphack}%
\def\write@@float#1#2{%
\ifhmode
\@bsphack
\fi
\chardef\@tempc\csname#2write\endcsname
\toks@{\begin{#1}}%
\def\@tempb{#1}%
\expandafter\let\csname end#1\endcsname\endwrite@float
\catcode`\^^M\active
\@makeother\{\@makeother\}\@makeother\%
\write@floatline
}%
\begingroup
\catcode`\[\the\catcode`\{\catcode`\]\the\catcode`\}\@makeother\{\@makeother\}%
\gdef\float@end@tag#1\end{#2}#3\@nul[%
\def\@tempa[#2]%
\@ifx[\@tempa\@tempb][\end[#2]][\write@floatline]%
]%
\obeylines%
\gdef\write@floatline#1^^M[%
\begingroup%
\newlinechar`\^^M%
\toks@\expandafter[\the\toks@#1]\immediate\write\@tempc[\the\toks@]%
\endgroup%
\toks@[]%
\float@end@tag#1\end{}\@nul%
]%
\endgroup
\def\@alph#1{\ifcase#1\or a\or b\or c\or d\else\@ialph{#1}\fi}
\def\@ialph#1{\ifcase#1\or \or \or \or \or e\or f\or g\or h\or i\or j\or
k\or l\or m\or n\or o\or p\or q\or r\or s\or t\or u\or v\or w\or x\or
y\or z\or aa\or bb\or cc\or dd\or ee\or ff\or gg\or hh\or ii\or jj\or
kk\or ll\or mm\or nn\or oo\or pp\or qq\or rr\or ss\or tt\or uu\or
vv\or ww\or xx\or yy\or zz\else\@ctrerr\fi}
\def\@startsection#1#2#3#4#5#6{%
\@startsection@hook
\if@noskipsec \leavevmode \fi
\par
\@tempskipa #4\relax
\@afterindenttrue
\ifdim \@tempskipa <\z@
\@tempskipa -\@tempskipa \@afterindentfalse
\fi
\if@nobreak
\everypar{}%
\else
\addpenalty\@secpenalty\addvspace\@tempskipa
\fi
\@ifstar
{\@dblarg{\@ssect@ltx{#1}{#2}{#3}{#4}{#5}{#6}}}%
{\@dblarg{\@sect@ltx {#1}{#2}{#3}{#4}{#5}{#6}}}%
}%
\def\@startsection@hook{}%
\class@info{Repairing broken LateX \string\@sect}%
\def\@sect@ltx#1#2#3#4#5#6[#7]#8{%
\@ifnum{#2>\c@secnumdepth}{%
\def\H@svsec{\phantomsection}%
\let\@svsec\@empty
}{%
\H@refstepcounter{#1}%
\def\H@svsec{%
\phantomsection
}%
\protected@edef\@svsec{{#1}}%
\@ifundefined{@#1cntformat}{%
\prepdef\@svsec\@seccntformat
}{%
\expandafter\prepdef
\expandafter\@svsec
\csname @#1cntformat\endcsname
}%
}%
\@tempskipa #5\relax
\@ifdim{\@tempskipa>\z@}{%
\begingroup
\interlinepenalty \@M
#6{%
\@ifundefined{@hangfrom@#1}{\@hang@from}{\csname @hangfrom@#1\endcsname}%
{\hskip#3\relax\H@svsec}{\@svsec}{#8}%
}%
\@@par
\endgroup
\@ifundefined{#1mark}{\@gobble}{\csname #1mark\endcsname}{#7}%
\addcontentsline{toc}{#1}{%
\@ifnum{#2>\c@secnumdepth}{%
\protect\numberline{}%
}{%
\protect\numberline{\csname the#1\endcsname}%
}%
#8}%
}{%
\def\@svsechd{%
#6{%
\@ifundefined{@runin@to@#1}{\@runin@to}{\csname @runin@to@#1\endcsname}%
{\hskip#3\relax\H@svsec}{\@svsec}{#8}%
}%
\@ifundefined{#1mark}{\@gobble}{\csname #1mark\endcsname}{#7}%
\addcontentsline{toc}{#1}{%
\@ifnum{#2>\c@secnumdepth}{%
\protect\numberline{}%
}{%
\protect\numberline{\csname the#1\endcsname}%
}%
#8}%
}%
}%
\@xsect{#5}%
}%
\def\@hang@from#1#2#3{\@hangfrom{#1#2}#3}%
\def\@runin@to #1#2#3{#1#2#3}%
\def\@ssect@ltx#1#2#3#4#5#6[#7]#8{%
\def\H@svsec{\phantomsection}%
\@tempskipa #5\relax
\@ifdim{\@tempskipa>\z@}{%
\begingroup
\interlinepenalty \@M
#6{%
\@ifundefined{@hangfroms@#1}{\@hang@froms}{\csname @hangfroms@#1\endcsname}%
{\hskip#3\relax\H@svsec}{#8}%
}%
\@@par
\endgroup
\@ifundefined{#1smark}{\@gobble}{\csname #1smark\endcsname}{#7}%
\addcontentsline{toc}{#1}{\protect\numberline{}#8}%
}{%
\def\@svsechd{%
#6{%
\@ifundefined{@runin@tos@#1}{\@runin@tos}{\csname @runin@tos@#1\endcsname}%
{\hskip#3\relax\H@svsec}{#8}%
}%
\@ifundefined{#1smark}{\@gobble}{\csname #1smark\endcsname}{#7}%
\addcontentsline{toc}{#1}{\protect\numberline{}#8}%
}%
}%
\@xsect{#5}%
}%
\def\@hang@froms#1#2{#1#2}%
\def\@runin@tos #1#2{#1#2}%
\def\init@hyperref{%
\providecommand\phantomsection{}%
\providecommand\hyper@makecurrent[1]{}%
\providecommand\Hy@raisedlink[1]{}%
\providecommand\hyper@anchorstart[1]{}%
\providecommand\hyper@anchorend{}%
\providecommand\hyper@linkstart[2]{}%
\providecommand\hyper@linkend{}%
\providecommand\@currentHref{}%
}%
\let\H@refstepcounter\refstepcounter
\appdef\document@inithook{%
\init@hyperref
}%
\def\sec@upcase#1{\relax{#1}}%
\appdef\document@inithook{%
\@ifpackageloaded{array}{\switch@array}{\switch@tabular}%
\prepdef\endtabular{\endtabular@hook}%
\@provide\endtabular@hook{}%
\prepdef\endarray{\endarray@hook}%
\@provide\endarray@hook{}%
\providecommand\array@hook{}%
\prepdef\@tabular{\tabular@hook}%
\@provide\tabular@hook{}%
}%
\def\switch@tabular{%
\let\@array@sw\@array@sw@array
\@ifx{\@array\@array@LaTeX}{%
\@ifx{\multicolumn\multicolumn@LaTeX}{%
\@ifx{\@tabular\@tabular@LaTeX}{%
\@ifx{\@tabarray\@tabarray@LaTeX}{%
\@ifx{\array\array@LaTeX}{%
\@ifx{\endarray\endarray@LaTeX}{%
\@ifx{\endtabular\endtabular@LaTeX}{%
\@ifx{\@mkpream\@mkpream@LaTeX}{%
\@ifx{\@addamp\@addamp@LaTeX}{%
\@ifx{\@arrayacol\@arrayacol@LaTeX}{%
\@ifx{\@tabacol\@tabacol@LaTeX}{%
\@ifx{\@arrayclassz\@arrayclassz@LaTeX}{%
\@ifx{\@tabclassiv\@tabclassiv@LaTeX}{%
\@ifx{\@arrayclassiv\@arrayclassiv@LaTeX}{%
\@ifx{\@tabclassz\@tabclassz@LaTeX}{%
\@ifx{\@classv\@classv@LaTeX}{%
\@ifx{\hline\hline@LaTeX}{%
\@ifx{\@tabularcr\@tabularcr@LaTeX}{%
\@ifx{\@xtabularcr\@xtabularcr@LaTeX}{%
\@ifx{\@xargarraycr\@xargarraycr@LaTeX}{%
\@ifx{\@yargarraycr\@yargarraycr@LaTeX}{%
\true@sw
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
{%
\class@info{Patching LaTeX tabular.}%
}{%
\class@info{Unrecognized LaTeX tabular. Please update this document class! (Proceeding with fingers crossed.)}%
}%
\let\@array\@array@ltx
\let\multicolumn\multicolumn@ltx
\let\@tabular\@tabular@ltx
\let\@tabarray\@tabarray@ltx
\let\array\array@ltx
\let\endarray\endarray@ltx
\let\endtabular\endtabular@ltx
\let\@mkpream\@mkpream@ltx
\let\@addamp\@addamp@ltx
\let\@arrayacol\@arrayacol@ltx
\let\@tabacol\@tabacol@ltx
\let\@arrayclassz\@arrayclassz@ltx
\let\@tabclassiv\@tabclassiv@ltx
\let\@arrayclassiv\@arrayclassiv@ltx
\let\@tabclassz\@tabclassz@ltx
\let\@classv\@classv@ltx
\let\hline\hline@ltx
\let\@tabularcr\@tabularcr@ltx
\let\@xtabularcr\@xtabularcr@ltx
\let\@xargarraycr\@xargarraycr@ltx
\let\@yargarraycr\@yargarraycr@ltx
}%
\def\switch@array{%
\@ifpackageloaded{colortbl}{\let\switch@array@info\colortbl@message}{\let\switch@array@info\array@message}%
\let\@array@sw\@array@sw@LaTeX
\@ifx{\@array\@array@array}{%
\@ifx{\@tabular\@tabular@array}{%
\@ifx{\@tabarray\@tabarray@array}{%
\@ifx{\array\array@array}{%
\@ifx{\endarray\endarray@array}{%
\@ifx{\endtabular\endtabular@array}{%
\@ifx{\@mkpream\@mkpream@array}{%
\@ifx{\@classx\@classx@array}{%
\@ifx{\insert@column\insert@column@array}{%
\@ifx{\@arraycr\@arraycr@array}{%
\@ifx{\@xarraycr\@xarraycr@array}{%
\@ifx{\@xargarraycr\@xargarraycr@array}{%
\@ifx{\@yargarraycr\@yargarraycr@array}{%
\true@sw
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}{%
\false@sw
}{%
\class@info{Patching array package.}%
}{%
\switch@array@info
}%
\let\@array \@array@array@new
\let\@@array \@array % Cosi fan tutti
\let\@tabular \@tabular@array@new
\let\@tabarray \@tabarray@array@new
\let\array \array@array@new
\let\endarray \endarray@array@new
\let\endtabular\endtabular@array@new
\let\@mkpream \@mkpream@array@new
\let\@classx \@classx@array@new
\let\@arrayacol\@arrayacol@ltx
\let\@tabacol \@tabacol@ltx
\let\insert@column\insert@column@array@new
\expandafter\let\csname endtabular*\endcsname\endtabular % Cosi fan tutti
\let\@arraycr \@arraycr@new
\let\@xarraycr \@xarraycr@new
\let\@xargarraycr\@xargarraycr@new
\let\@yargarraycr\@yargarraycr@new
}%
\def\array@message{%
\class@info{Unrecognized array package. Please update this document class! (Proceeding with fingers crossed.)}%
}%
\def\colortbl@message{%
\class@info{colortbl package is loaded. (Proceeding with fingers crossed.)}%
}%
\def\@array@sw@LaTeX{\@ifx{\\\@tabularcr}}%
\def\@array@sw@array{\@ifx{\d@llarbegin\begingroup}}%
\def\@tabular@LaTeX{%
\leavevmode
\hbox\bgroup$%
\let\@acol\@tabacol
\let\@classz\@tabclassz
\let\@classiv\@tabclassiv
\let\\\@tabularcr
\@tabarray
}%
\def\@tabular@ltx{%
\let\@acoll\@tabacoll
\let\@acolr\@tabacolr
\let\@acol\@tabacol
\let\@classz\@tabclassz
\let\@classiv\@tabclassiv
\let\\\@tabularcr
\@tabarray
}%
\def\@tabular@array{%
\leavevmode
\hbox\bgroup$%
\col@sep\tabcolsep
\let\d@llarbegin\begingroup
\let\d@llarend\endgroup
\@tabarray
}%
\def\@tabular@array@new{%
\let\@acoll\@tabacoll
\let\@acolr\@tabacolr
\let\@acol\@tabacol
\let\d@llarbegin\begingroup
\let\d@llarend\endgroup
\@tabarray
}%
\def\@tabarray@LaTeX{%
\m@th\@ifnextchar[\@array{\@array[c]}%
}%
\def\@tabarray@ltx{%
\m@th\@ifnextchar[\@array{\expandafter\@array\expandafter[\array@default]}%
}%
\def\@tabarray@array{%
\@ifnextchar[{\@@array}{\@@array[c]}%
}%
\def\@tabarray@array@new{%
\@ifnextchar[{\@@array}{\expandafter\@@array\expandafter[\array@default]}%
}%
\newcount\intertabularlinepenalty
\intertabularlinepenalty=100
\newcount\@tbpen
\appdef\samepage{\intertabularlinepenalty\@M}%
\def\@tabularcr@LaTeX{{\ifnum 0=`}\fi \@ifstar \@xtabularcr \@xtabularcr}%
\def\@tabularcr@ltx{{\ifnum 0=`}\fi \@ifstar {\global \@tbpen \@M \@xtabularcr }{\global \@tbpen \intertabularlinepenalty \@xtabularcr }}%
\def\@xtabularcr@LaTeX{\@ifnextchar [\@argtabularcr {\ifnum 0=`{\fi }\cr }}%
\def\@xtabularcr@ltx{\@ifnextchar [\@argtabularcr {\ifnum 0=`{\fi }\cr \noalign {\penalty \@tbpen }}}%
\def\@xargarraycr@LaTeX#1{\@tempdima #1\advance \@tempdima \dp \@arstrutbox \vrule \@height \z@ \@depth \@tempdima \@width \z@ \cr}%
\def\@xargarraycr@ltx#1{\@tempdima #1\advance \@tempdima \dp \@arstrutbox \vrule \@height \z@ \@depth \@tempdima \@width \z@ \cr \noalign {\penalty \@tbpen }}%
\def\@yargarraycr@LaTeX#1{\cr \noalign {\vskip #1}}%
\def\@yargarraycr@ltx#1{\cr \noalign {\penalty \@tbpen \vskip #1}}%
\def\@arraycr@array{%
\relax
\iffalse{\fi\ifnum 0=`}\fi
\@ifstar \@xarraycr \@xarraycr
}%
\def\@arraycr@new{%
\relax
\iffalse{\fi\ifnum 0=`}\fi
\@ifstar {\global \@tbpen \@M \@xarraycr }{\global \@tbpen \intertabularlinepenalty \@xarraycr }%
}%
\def\@xarraycr@array{%
\@ifnextchar [%]
\@argarraycr {\ifnum 0=`{}\fi\cr}%
}%
\def\@xarraycr@new{%
\@ifnextchar [%]
\@argarraycr {\ifnum 0=`{}\fi\cr \noalign {\penalty \@tbpen }}%
}%
\def\@xargarraycr@array#1{%
\unskip
\@tempdima #1\advance\@tempdima \dp\@arstrutbox
\vrule \@depth\@tempdima \@width\z@
\cr
}%
\def\@xargarraycr@new#1{%
\unskip
\@tempdima #1\advance\@tempdima \dp\@arstrutbox
\vrule \@depth\@tempdima \@width\z@
\cr
\noalign {\penalty \@tbpen }%
}%
\def\@yargarraycr@array#1{%
\cr
\noalign{\vskip #1}%
}%
\def\@yargarraycr@new#1{%
\cr
\noalign{\penalty \@tbpen \vskip #1}%
}%
\def\array@LaTeX{%
\let\@acol\@arrayacol
\let\@classz\@arrayclassz
\let\@classiv\@arrayclassiv
\let\\\@arraycr
\let\@halignto\@empty
\@tabarray
}%
\def\array@ltx{%
\@ifmmode{}{\@badmath$}%
\let\@acoll\@arrayacol
\let\@acolr\@arrayacol
\let\@acol\@arrayacol
\let\@classz\@arrayclassz
\let\@classiv\@arrayclassiv
\let\\\@arraycr
\let\@halignto\@empty
\@tabarray
}%
\def\array@array{%
\col@sep\arraycolsep
\def\d@llarbegin{$}\let\d@llarend\d@llarbegin\gdef\@halignto{}%
\@tabarray
}
\def\array@array@new{%
\@ifmmode{}{\@badmath$}%
\let\@acoll\@arrayacol
\let\@acolr\@arrayacol
\let\@acol\@arrayacol
\def\d@llarbegin{$}%
\let\d@llarend\d@llarbegin
\gdef\@halignto{}%
\@tabarray
}%
\def\@array@LaTeX[#1]#2{%
\if #1t\vtop \else \if#1b\vbox \else \vcenter \fi\fi
\bgroup
\setbox\@arstrutbox\hbox{%
\vrule \@height\arraystretch\ht\strutbox
\@depth\arraystretch \dp\strutbox
\@width\z@}%
\@mkpream{#2}%
\edef\@preamble{%
\ialign \noexpand\@halignto
\bgroup \@arstrut \@preamble \tabskip\z@skip \cr}%
\let\@startpbox\@@startpbox \let\@endpbox\@@endpbox
\let\tabularnewline\\%
\let\par\@empty
\let\@sharp##%
\set@typeset@protect
\lineskip\z@skip\baselineskip\z@skip
\ifhmode \@preamerr\z@ \@@par\fi
\@preamble
}%
\def\@array@ltx[#1]#2{%
\@nameuse{@array@align@#1}%
\set@arstrutbox
\@mkpream{#2}%
\prepdef\@preamble{%
\tabskip\tabmid@skip
\@arstrut
}%
\appdef\@preamble{%
\tabskip\tabright@skip
\cr
\array@row@pre
}%
\let\tabularnewline\\%
\let\par\@empty
\let\@sharp##%
\set@typeset@protect
\lineskip\z@skip\baselineskip\z@skip
\tabskip\tableft@skip\relax
\ifhmode \@preamerr\z@ \@@par\fi
\everycr{}%
\expandafter\halign\expandafter\@halignto\expandafter\bgroup\@preamble
}%
\def\set@arstrutbox{%
\setbox\@arstrutbox\hbox{%
\vrule \@height\arraystretch\ht\strutbox
\@depth\arraystretch \dp\strutbox
\@width\z@
}%
}%
\def\@array@array[#1]#2{%
\@tempdima \ht \strutbox
\advance \@tempdima by\extrarowheight
\setbox \@arstrutbox \hbox{\vrule
\@height \arraystretch \@tempdima
\@depth \arraystretch \dp \strutbox
\@width \z@}%
\begingroup
\@mkpream{#2}%
\xdef\@preamble{\noexpand \ialign \@halignto
\bgroup \@arstrut \@preamble
\tabskip \z@ \cr}%
\endgroup
\@arrayleft
\if #1t\vtop \else \if#1b\vbox \else \vcenter \fi \fi
\bgroup
\let \@sharp ##\let \protect \relax
\lineskip \z@
\baselineskip \z@
\m@th
\let\\\@arraycr \let\tabularnewline\\\let\par\@empty \@preamble
}%
\def\@array@array@new[#1]#2{%
\@tempdima\ht\strutbox
\advance\@tempdima by\extrarowheight
\setbox\@arstrutbox\hbox{%
\vrule \@height\arraystretch\@tempdima
\@depth \arraystretch\dp\strutbox
\@width \z@
}%
\begingroup
\@mkpream{#2}%
\xdef\@preamble{\@preamble}%
\endgroup
\prepdef\@preamble{%
\tabskip\tabmid@skip
\@arstrut
}%
\appdef\@preamble{%
\tabskip\tabright@skip
\cr
\array@row@pre
}%
\@arrayleft
\@nameuse{@array@align@#1}%
\m@th
\let\\\@arraycr
\let\tabularnewline\\%
\let\par\@empty
\let\@sharp##%
\set@typeset@protect
\lineskip\z@\baselineskip\z@
\tabskip\tableft@skip
\everycr{}%
\expandafter\halign\expandafter\@halignto\expandafter\bgroup\@preamble
}%
\def\endarray@LaTeX{%
\crcr\egroup\egroup
}%
\def\endarray@ltx{%
\crcr\array@row@pst\egroup\egroup
}%
\def\endarray@array{%
\crcr \egroup \egroup \@arrayright \gdef\@preamble{}%
}%
\def\endarray@array@new{%
\crcr\array@row@pst\egroup\egroup % Same as \endarray@ltx
\@arrayright
\global\let\@preamble\@empty
}%
\def\endtabular@LaTeX{%
\crcr\egroup\egroup $\egroup
}%
\def\endtabular@ltx{%
\endarray
}%
\def\endtabular@array{%
\endarray $\egroup
}%
\def\endtabular@array@new{%
\endarray
}%
\@namedef{endtabular*}{\endtabular}%
\long\def\multicolumn@LaTeX#1#2#3{%
\multispan{#1}\begingroup
\@mkpream{#2}%
\def\@sharp{#3}\set@typeset@protect
\let\@startpbox\@@startpbox\let\@endpbox\@@endpbox
\@arstrut \@preamble\hbox{}\endgroup\ignorespaces
}%
\long\def\multicolumn@ltx#1#2#3{%
\multispan{#1}%
\begingroup
\@mkpream{#2}%
\def\@sharp{#3}%
\set@typeset@protect
%\let\@startpbox\@@startpbox\let\@endpbox\@@endpbox
\@arstrut
\@preamble
\hbox{}%
\endgroup
\ignorespaces
}%
\def\@array@align@t{\leavevmode\vtop\bgroup}%
\def\@array@align@b{\leavevmode\vbox\bgroup}%
\def\@array@align@c{\leavevmode\@ifmmode{\vcenter\bgroup}{$\vcenter\bgroup\aftergroup$\aftergroup\relax}}%
\def\@array@align@v{%
\@ifmmode{%
\@badmath
\vcenter\bgroup
}{%
\@ifinner{%
$\vcenter\bgroup\aftergroup$
}{%
\@@par\bgroup
}%
}%
}%
\def\array@default{c}%
\def\array@row@rst{%
\let\@array@align@v\@array@align@c
}%
\def\array@row@pre{}%
\def\array@row@pst{}%
\newcommand\toprule{\tab@rule{\column@font}{\column@fil}{\frstrut}}%
\newcommand\colrule{\unskip\lrstrut\\\tab@rule{\body@font}{}{\frstrut}}%
\newcommand\botrule{\unskip\lrstrut\\\noalign{\hline@rule}{}}%
\def\hline@LaTeX{%
\noalign{\ifnum0=`}\fi\hrule \@height \arrayrulewidth \futurelet
\reserved@a\@xhline
}%
\def\hline@ltx{%
\noalign{%
\ifnum0=`}\fi
\hline@rule
\futurelet\reserved@a\@xhline
% \noalign ended in \@xhline
}%
\def\@xhline@unneeded{%
\say\reserved@a
\ifx\reserved@a\hline
\vskip\doublerulesep
\vskip-\arrayrulewidth
\fi
\ifnum0=`{\fi}%
}%
\def\tab@rule#1#2#3{%
\crcr
\noalign{%
\hline@rule
\gdef\@arstrut@hook{%
\global\let\@arstrut@hook\@empty
#3%
}%
\gdef\cell@font{#1}%
\gdef\cell@fil{#2}%
}%
}%
\def\column@font{}%
\def\column@fil{}%
\def\body@font{}%
\def\cell@font{}%
\def\frstrut{}%
\def\lrstrut{}%
\def\@arstrut@hline{%
\relax
\@ifmmode{\copy}{\unhcopy}\@arstrutbox@hline
\@arstrut@hook
}%
\let\@arstrut@org\@arstrut
\def\@arstrut@hook{%
\global\let\@arstrut\@arstrut@org
}%
\newbox\@arstrutbox@hline
\appdef\set@arstrutbox{%
\setbox\@arstrutbox@hline\hbox{%
\setbox\z@\hbox{$0^{0}_{}$}%
\dimen@\ht\z@\advance\dimen@\@arstrut@hline@clnc
\@ifdim{\dimen@<\arraystretch\ht\strutbox}{\dimen@=\arraystretch\ht\strutbox}{}%
\vrule \@height\dimen@
\@depth\arraystretch \dp\strutbox
\@width\z@
}%
}%
\def\hline@rule{%
\hrule \@height \arrayrulewidth
\global\let\@arstrut\@arstrut@hline
}%
\def\@arstrut@hline@clnc{2\p@}% % Klootch: magic number
\def\tableft@skip{\z@skip}%
\def\tabmid@skip{\z@skip}%\@flushglue
\def\tabright@skip{\z@skip}%
\def\tableftsep{\tabcolsep}%
\def\tabmidsep{\tabcolsep}%
\def\tabrightsep{\tabcolsep}%
\def\cell@fil{}%
\def\pbox@hook{}%
\appdef\@arstrut{\@arstrut@hook}%
\let\@arstrut@hook\@empty
\def\@addtopreamble{\appdef\@preamble}%
\def\@mkpream@LaTeX#1{%
\@firstamptrue\@lastchclass6
\let\@preamble\@empty
\let\protect\@unexpandable@protect
\let\@sharp\relax
\let\@startpbox\relax\let\@endpbox\relax
\@expast{#1}%
\expandafter\@tfor \expandafter
\@nextchar \expandafter:\expandafter=\reserved@a\do
{\@testpach\@nextchar
\ifcase \@chclass \@classz \or \@classi \or \@classii \or \@classiii
\or \@classiv \or\@classv \fi\@lastchclass\@chclass}%
\ifcase \@lastchclass \@acol
\or \or \@preamerr \@ne\or \@preamerr \tw@\or \or \@acol \fi
}%
\def\@mkpream@ltx#1{%
\@firstamptrue
\@lastchclass6
\let\@preamble\@empty
\let\protect\@unexpandable@protect
\let\@sharp\relax
\@expast{#1}%
\expandafter\@tfor\expandafter\@nextchar\expandafter:\expandafter=\reserved@a
\do{%
\expandafter\@testpach\expandafter{\@nextchar}%
\ifcase\@chclass
\@classz
\or
\@classi
\or
\@classii
\or
\@classiii
\or
\@classiv
\or
\@classv
\fi
\@lastchclass\@chclass
}%
\ifcase\@lastchclass
\@acolr % right-hand column
\or
\or
\@preamerr\@ne
\or
\@preamerr\tw@
\or
\or
\@acolr % right-hand column
\fi
}%
\def\insert@column@array{%
\the@toks \the \@tempcnta
\ignorespaces \@sharp \unskip
\the@toks \the \count@ \relax
}%
\def\insert@column@array@new{%
\the@toks\the\@tempcnta
\array@row@rst\cell@font
\ignorespaces\@sharp\unskip
\the@toks\the\count@
\relax
}%
\def\@mkpream@relax{%
\let\tableftsep \relax
\let\tabmidsep \relax
\let\tabrightsep \relax
\let\array@row@rst\relax
\let\cell@font \relax
\let\@startpbox \relax
}%
\def\@mkpream@array#1{%
\gdef\@preamble{}\@lastchclass 4 \@firstamptrue
\let\@sharp\relax \let\@startpbox\relax \let\@endpbox\relax
\@temptokena{#1}\@tempswatrue
\@whilesw\if@tempswa\fi{\@tempswafalse\the\NC@list}%
\count@\m@ne
\let\the@toks\relax
\prepnext@tok
\expandafter \@tfor \expandafter \@nextchar
\expandafter :\expandafter =\the\@temptokena \do
{\@testpach
\ifcase \@chclass \@classz \or \@classi \or \@classii
\or \save@decl \or \or \@classv \or \@classvi
\or \@classvii \or \@classviii
\or \@classx
\or \@classx \fi
\@lastchclass\@chclass}%
\ifcase\@lastchclass
\@acol \or
\or
\@acol \or
\@preamerr \thr@@ \or
\@preamerr \tw@ \@addtopreamble\@sharp \or
\or
\else \@preamerr \@ne \fi
\def\the@toks{\the\toks}%
}%
\def\@mkpream@array@new#1{%
\gdef\@preamble{}%
\@lastchclass\f@ur
\@firstamptrue
\let\@sharp\relax
\@mkpream@relax
\@temptokena{#1}\@tempswatrue
\@whilesw\if@tempswa\fi{\@tempswafalse\the\NC@list}%
\count@\m@ne
\let\the@toks\relax
\prepnext@tok
\expandafter\@tfor\expandafter\@nextchar\expandafter:\expandafter=\the\@temptokena
\do{%
\@testpach
\ifcase\@chclass
\@classz
\or
\@classi
\or
\@classii
\or
\save@decl
\or
\or
\@classv
\or
\@classvi
\or
\@classvii
\or
\@classviii
\or
\@classx
\or
\@classx
\fi
\@lastchclass\@chclass
}%
\ifcase\@lastchclass
\@acolr % right-hand column
\or
\or
\@acolr % right-hand column
\or
\@preamerr\thr@@
\or
\@preamerr\tw@\@addtopreamble\@sharp
\or
\or
\else
\@preamerr\@ne
\fi
\def\the@toks{\the\toks}%
}%
\appdef\@mkpream@relax{%
\let\CT@setup \relax
\let\CT@color \relax
\let\CT@do@color \relax
\let\color \relax
\let\CT@column@color\relax
\let\CT@row@color \relax
\let\CT@cell@color \relax
}%
\def\@addamp@LaTeX{%
\if@firstamp\@firstampfalse\else\edef\@preamble{\@preamble &}\fi
}%
\def\@addamp@ltx{%
\if@firstamp\@firstampfalse\else\@addtopreamble{&}\fi
}%
\def\@arrayacol@LaTeX{%
\edef\@preamble{\@preamble \hskip \arraycolsep}%
}%
\def\@arrayacol@ltx{%
\@addtopreamble{\hskip\arraycolsep}%
}%
\def\@tabacoll{%
\@addtopreamble{\hskip\tableftsep\relax}%
}%
\def\@tabacol@LaTeX{%
\edef\@preamble{\@preamble \hskip \tabcolsep}%
}%
\def\@tabacol@ltx{%
\@addtopreamble{\hskip\tabmidsep\relax}%
}%
\def\@tabacolr{%
\@addtopreamble{\hskip\tabrightsep\relax}%
}%
\def\@arrayclassz@LaTeX{%
\ifcase \@lastchclass \@acolampacol \or \@ampacol \or
\or \or \@addamp \or
\@acolampacol \or \@firstampfalse \@acol \fi
\edef\@preamble{\@preamble
\ifcase \@chnum
\hfil$\relax\@sharp$\hfil \or $\relax\@sharp$\hfil
\or \hfil$\relax\@sharp$\fi}%
}%
\def\@arrayclassz@ltx{%
\ifcase\@lastchclass
\@acolampacol
\or
\@ampacol
\or
\or
\or
\@addamp
\or
\@acolampacol
\or
\@firstampfalse\@acoll
\fi
\ifcase\@chnum
\@addtopreamble{%
\hfil\array@row@rst$\relax\@sharp$\hfil
}%
\or
\@addtopreamble{%
\array@row@rst$\relax\@sharp$\hfil
}%
\or
\@addtopreamble{%
\hfil\array@row@rst$\relax\@sharp$%
}%
\fi
}%
\def\@tabclassz@LaTeX{%
\ifcase\@lastchclass
\@acolampacol
\or
\@ampacol
\or
\or
\or
\@addamp
\or
\@acolampacol
\or
\@firstampfalse\@acol
\fi
\edef\@preamble{%
\@preamble{%
\ifcase\@chnum
\hfil\ignorespaces\@sharp\unskip\hfil
\or
\hskip1sp\ignorespaces\@sharp\unskip\hfil
\or
\hfil\hskip1sp\ignorespaces\@sharp\unskip
\fi}}%
}%
\def\@tabclassz@ltx{%
\ifcase\@lastchclass
\@acolampacol
\or
\@ampacol
\or
\or
\or
\@addamp
\or
\@acolampacol
\or
\@firstampfalse\@acoll
\fi
\ifcase\@chnum
\@addtopreamble{%
{\hfil\array@row@rst\cell@font\ignorespaces\@sharp\unskip\hfil}%
}%
\or
\@addtopreamble{%
{\cell@fil\hskip1sp\array@row@rst\cell@font\ignorespaces\@sharp\unskip\hfil}%
}%
\or
\@addtopreamble{%
{\hfil\hskip1sp\array@row@rst\cell@font\ignorespaces\@sharp\unskip\cell@fil}%
}%
\fi
}%
\def\@tabclassiv@LaTeX{%
\@addtopreamble\@nextchar
}%
\def\@tabclassiv@ltx{%
\expandafter\@addtopreamble\expandafter{\@nextchar}%
}%
\def\@arrayclassiv@LaTeX{%
\@addtopreamble{$\@nextchar$}%
}%
\def\@arrayclassiv@ltx{%
\expandafter\@addtopreamble\expandafter{\expandafter$\@nextchar$}%
}%
\def\@classv@LaTeX{%
\@addtopreamble{\@startpbox{\@nextchar}\ignorespaces
\@sharp\@endpbox}%
}%
\def\@classv@ltx{%
\expandafter\@addtopreamble
\expandafter{%
\expandafter \@startpbox
\expandafter {\@nextchar}%
\pbox@hook\array@row@rst\cell@font\ignorespaces\@sharp\@endpbox
}%
}%
\def\@classx@array{%
\ifcase \@lastchclass
\@acolampacol \or
\@addamp \@acol \or
\@acolampacol \or
\or
\@acol \@firstampfalse \or
\@addamp
\fi
}%
\def\@classx@array@new{%
\ifcase \@lastchclass
\@acolampacol
\or
\@addamp \@acol
\or
\@acolampacol
\or
\or
\@firstampfalse\@acoll
\or
\@addamp
\fi
}%
\def\@xbitor@LaTeX #1{\@tempcntb \count#1
\ifnum \@tempcnta =\z@
\else
\divide\@tempcntb\@tempcnta
\ifodd\@tempcntb \@testtrue\fi
\fi}%
\def\@xbitor@ltx#1{%
\@tempcntb\count#1\relax
\@ifnum{\@tempcnta=\z@}{}{%
\divide\@tempcntb\@tempcnta
\@ifodd\@tempcntb{\@testtrue}{}%
}%
}%
\@ifx{\@xbitor\@xbitor@LaTeX}{%
\class@info{Repairing broken LaTeX \string\@xbitor}%
}{%
\class@info{Unrecognized LaTeX \string\@xbitor. Please update this document class! (Proceeding with fingers crossed.)}%
}%
\let\@xbitor\@xbitor@ltx
\newcommand*\@gobble@opt@one[2][]{}%
\def\@starttoc#1{%
\begingroup
\toc@pre
\makeatletter
\@input{\jobname.#1}%
\if@filesw
\expandafter\newwrite\csname tf@#1\endcsname
\immediate\openout \csname tf@#1\endcsname \jobname.#1\relax
\fi
\@nobreakfalse
\toc@post
\endgroup
}%
\def\toc@pre{}%
\def\toc@post{}%
\def\toc@@font{}%
\def\ltxu@dotsep{\z@}%
\let\tocdim@section \leftmargini
\let\tocdim@subsection \leftmarginii
\let\tocdim@subsubsection \leftmarginiii
\let\tocdim@paragraph \leftmarginiv
\let\tocdim@appendix \leftmarginv
\let\tocdim@pagenum \leftmarginvi
\def\toc@pre@auto{%
\toc@@font
\@tempdima\z@
\toc@setindent\@tempdima{section}%
\toc@setindent\@tempdima{subsection}%
\toc@setindent\@tempdima{subsubsection}%
\toc@setindent\@tempdima{paragraph}%
\toc@letdimen{appendix}%
\toc@letdimen{pagenum}%
}%
\def\toc@post@auto{%
\if@filesw
\begingroup
\toc@writedimen{section}%
\toc@writedimen{subsection}%
\toc@writedimen{subsubsection}%
\toc@writedimen{paragraph}%
\toc@writedimen{appendix}%
\toc@writedimen{pagenum}%
\endgroup
\fi
}%
\def\toc@setindent#1#2{%
\csname tocdim@#2\endcsname\tocdim@min\relax
\@ifundefined{tocmax@#2}{\@namedef{tocmax@#2}{\z@}}{}%
\advance#1\@nameuse{tocmax@#2}\relax
\expandafter\edef\csname tocleft@#2\endcsname{\the#1}%
}%
\def\toc@letdimen#1{%
\csname tocdim@#1\endcsname\tocdim@min\relax
\@ifundefined{tocmax@#1}{\@namedef{tocmax@#1}{\z@}}{}%
\expandafter\let\csname tocleft@#1\expandafter\endcsname\csname tocmax@#1\endcsname
}%
\def\toc@writedimen#1{%
\immediate\write\@auxout{%
\gdef\expandafter\string\csname tocmax@#1\endcsname{%
\expandafter\the\csname tocdim@#1\endcsname
}%
}%
}%
\def\l@@sections#1#2#3#4{%
\begingroup
\everypar{}%
\set@tocdim@pagenum\@tempboxa{#4}%
\global\@tempdima\csname tocdim@#2\endcsname
\leftskip\csname tocleft@#2\endcsname\relax
\dimen@\csname tocleft@#1\endcsname\relax
\parindent-\leftskip\advance\parindent\dimen@
\rightskip\tocleft@pagenum plus 1fil\relax
\skip@\parfillskip\parfillskip\z@
\let\numberline\numberline@@sections
\@nameuse{l@f@#2}%
\ignorespaces#3\unskip\nobreak\hskip\skip@
\hb@xt@\rightskip{\hfil\unhbox\@tempboxa}\hskip-\rightskip\hskip\z@skip
\expandafter\par
\expandafter\aftergroup\csname tocdim@#2%
\expandafter\endcsname
\expandafter\endgroup
\the\@tempdima\relax
}%
\def\set@tocdim@pagenum#1#2{%
\setbox#1\hbox{\ignorespaces#2}%
\@ifdim{\tocdim@pagenum<\wd#1}{\global\tocdim@pagenum\wd#1}{}%
}%
\def\numberline@@sections#1{%
\leavevmode\hb@xt@-\parindent{%
\hfil
\@if@empty{#1}{}{%
\setbox\z@\hbox{#1.\kern\ltxu@dotsep}%
\@ifdim{\@tempdima<\wd\z@}{\global\@tempdima\wd\z@}{}%
\unhbox\z@
}%
}%
\ignorespaces
}%
\def\tocdim@min{\z@}%
\def\list#1#2{%
\ifnum \@listdepth >5\relax
\@toodeep
\else
\global\advance\@listdepth\@ne
\fi
\rightmargin\z@
\listparindent\z@
\itemindent\z@
\csname @list\romannumeral\the\@listdepth\endcsname
\def\@itemlabel{#1}%
\let\makelabel\@mklab
\@nmbrlistfalse
#2\relax
\@trivlist
\parskip\parsep
\set@listindent
\ignorespaces
}%
\def\set@listindent@parshape{%
\parindent\listparindent
\advance\@totalleftmargin\leftmargin
\advance\linewidth-\rightmargin
\advance\linewidth-\leftmargin
\parshape\@ne\@totalleftmargin\linewidth
}%
\def\set@listindent@{%
\parindent\listparindent
\advance\@totalleftmargin\leftmargin
\advance\rightskip\rightmargin
\advance\leftskip\@totalleftmargin
}%
\let\set@listindent\set@listindent@parshape
\providecommand\href[0]{\begingroup\@sanitize@url\@href}%
\def\@href#1{\@@startlink{#1}\endgroup\@@href}%
\def\@@href#1{#1\@@endlink}%
\providecommand \url [0]{\begingroup\@sanitize@url \@url }%
\def \@url #1{\endgroup\@href {#1}{\URL@prefix#1}}%
\providecommand \URL@prefix [0]{URL }%
\providecommand\doi[0]{\begingroup\@sanitize@url\@doi}%
\def\@doi#1{\endgroup\@@startlink{\doibase#1}doi:\discretionary {}{}{}#1\@@endlink }%
\providecommand \doibase [0]{http://dx.doi.org/}%
\providecommand \@sanitize@url[0]{\chardef\cat@space\the\catcode`\ \@sanitize\catcode`\ \cat@space}%
\def\@@startlink#1{}%
\def\@@endlink{}%
\@ifxundefined \pdfoutput {\true@sw}{\@ifnum{\z@=\pdfoutput}{\true@sw}{\false@sw}}%
{%
\def\@@startlink@hypertext#1{\leavevmode\special{html:<a href="#1">}}%
\def\@@endlink@hypertext{\special{html:</a>}}%
}{%
\def\@@startlink@hypertext#1{%
\leavevmode
\pdfstartlink\pdfstartlink@attr
user{/Subtype/Link/A<</Type/Action/S/URI/URI(#1)>>}%
\relax
}%
\def\@@endlink@hypertext{\pdfendlink}%
\def\pdfstartlink@attr{attr{/Border[0 0 1 ]/H/I/C[0 1 1]}}%
}%
\def\hypertext@enable@ltx{%
\let\@@startlink\@@startlink@hypertext
\let\@@endlink\@@endlink@hypertext
}%
\def\href@Hy{\hyper@normalise \href@ }%
\def\href@Hy@ltx{\@ifnextchar\bgroup\Hy@href{\hyper@normalise\href@}}%
\def\Hy@href#{\hyper@normalise\href@}%
\begingroup
\endlinechar=-1 %
\catcode`\^^A=14 %
\catcode`\^^M\active
\catcode`\%\active
\catcode`\#\active
\catcode`\_\active
\catcode`\$\active
\catcode`\&\active
\gdef\hyper@normalise@ltx{^^A
\begingroup
\catcode`\^^M\active
\def^^M{ }^^A
\catcode`\%\active
\let%\@percentchar
\let\%\@percentchar
\catcode`\#\active
\def#{\hyper@hash}^^A
\def\#{\hyper@hash}^^A
\@makeother\&^^A
\edef&{\string&}^^A
\edef\&{\string&}^^A
\edef\textunderscore{\string_}^^A
\let\_\textunderscore
\catcode`\_\active
\let_\textunderscore
\let~\hyper@tilde
\let\~\hyper@tilde
\let\textasciitilde\hyper@tilde
\let\\\@backslashchar
\edef${\string$}^^A
\Hy@safe@activestrue
\hyper@n@rmalise
}^^A
\catcode`\#=6 ^^A
\gdef\Hy@ActiveCarriageReturn@ltx{^^M}^^A
\gdef\hyper@n@rmalise@ltx#1#2{^^A
\def\Hy@tempa{#2}^^A
\ifx\Hy@tempa\Hy@ActiveCarriageReturn
\Hy@ReturnAfterElseFi{^^A
\hyper@@normalise{#1}^^A
}^^A
\else
\Hy@ReturnAfterFi{^^A
\hyper@@normalise{#1}{#2}^^A
}^^A
\fi
}^^A
\gdef\hyper@@normalise@ltx#1#2{^^A
\edef\Hy@tempa{^^A
\endgroup
\noexpand#1{\Hy@RemovePercentCr#2%^^M\@nil}^^A
}^^A
\Hy@tempa
}^^A
\gdef\Hy@RemovePercentCr@ltx#1%^^M#2\@nil{^^A
#1^^A
\ifx\limits#2\limits
\else
\Hy@ReturnAfterFi{^^A
\Hy@RemovePercentCr #2\@nil
}^^A
\fi
}^^A
\endgroup
\def\switch@hyperref@href{%
\expandafter\@ifx\expandafter{\csname href \endcsname\href@Hy}{
\class@info{Repairing hyperref 6.75r \string\href}%
\let\hyper@normalise\hyper@normalise@ltx
\let\hyper@@normalise\hyper@@normalise@ltx
\let\hyper@n@rmalise\hyper@n@rmalise@ltx
\let\Hy@ActiveCarriageReturn\Hy@ActiveCarriageReturn@ltx
\let\Hy@RemovePercentCr\Hy@RemovePercentCr@ltx
\let\href\href@Hy@ltx
}{}%
}%
\appdef\document@inithook{\switch@hyperref@href}%
\def\typeout@org#1{%
\begingroup
\set@display@protect
\immediate\write\@unused{#1}%
\endgroup
}%
\long\def\typeout@ltx#1{%
\begingroup
\set@display@protect
\immediate\write\@unused{#1}%
\endgroup
}%
\@ifx{\typeout\typeout@org}{%
\class@info{Making \string\typeout\space \string\long}%
\let\typeout\typeout@ltx
}{}%
\typeout{%
ltxfront%
[2010/07/25/20:33:00 4.1r frontmatter package (AO,DPC)]% \fileversion
}%
\appdef\class@documenthook{\frontmatter@init}%
\let\frontmatter@init\@empty
\newcommand\frontmatter@title[2][]{%
\def\@title{#2}%
\def\@shorttitle{#1}%
\let\@AF@join\@title@join
}%
\appdef\frontmatter@init{%
\def\@title{\class@warn{No title}}%
\let\@shorttitle\@empty
\let\@title@aux\@title@aux@cleared
}%
\def\@title@join{\expandafter\@title@join@\@title@aux}%
\def\@title@join@#1#2{%
\def\@title@aux{{\@join{\@separator}{#1}{#2}}}%
}%
\def\@title@aux@cleared{{}}%
\newcounter{affil}%
\newcounter{collab}%
\appdef\frontmatter@init{%
\c@affil\z@
\c@collab\z@
}%
\newcommand\frontmatter@author{% implicit #1
\@author@def{}% implicit #2
}%
\def\collaboration{% implicit #1
\@author@def{\@booleantrue\collaboration@sw}% implicit #2
}%
\appdef\frontmatter@init{%
\@booleanfalse\collaboration@sw
}%
\def\@author@cleared{{}{}{}}%
\def\@author@gobble#1#2#3{}%
\def\@author@init{%
\let\@author\@author@cleared
\@booleanfalse\collaboration@sw
}%
\def\@authorclear@sw{\@ifx{\@author\@author@cleared}}%
\appdef\frontmatter@init{%
\@author@init
}%
\def\@author@def#1#2{%
\frontmatterverbose@sw{\typeout{\string\author\space\string\collaboration}}{}%
\move@AU\move@AF\move@AUAF
\let\@AF@join\@author@join
#1%
\def\@author{{#2}{}}%
}%
\def\@author@join@#1#2#3{%
\def\@author{{#1}{\@join{\@separator}{#2}{#3}}}%
}%
\def\@author@join{\expandafter\@author@join@\@author}%
\def\move@AU{%
\@authorclear@sw{}{%
\collaboration@sw{%
\advance\c@collab\@ne
\@argswap{\CO@grp\CO@opr}%
}{%
\@argswap{\AU@grp\AU@opr}%
}%
{%
\expandafter\@argswap@val
\expandafter{\@author}%
{\expandafter\@argswap@val\expandafter{\the\c@collab}{\add@AUCO@grp}}%
}%
}%
\@author@init
}%
\def\add@AUCO@grp#1#2#3#4{%
\appdef#3{#4{#1}#2}%
\frontmatterverbose@sw{\say#3}{}%
}%
\def\@author@finish{%
\frontmatterverbose@sw{\typeout{\string\@author@finish}}{}%
\move@AU\move@AF
\@ifx{\AU@grp\@empty}{%
\@ifx{\CO@grp\@empty}%
}{%
\false@sw
}%
{}{%
\@ifx{\AF@grp\@empty}{%
\begingroup
\let\href\@secondoftwo
\let\AU@opr\@secondofthree
\let\CO@opr\@secondofthree
\let\footnote\@gobble
\@ifx{\CO@grp\@empty}{%
\class@warn{Assuming \string\noaffiliation\space for authors}%
\frontmatterverbose@sw{\say\AU@grp}%
}{%
\class@warn{Assuming \string\noaffiliation\space for collaboration}%
\frontmatterverbose@sw{\say\CO@grp}{}%
}%
\endgroup
\@affil@none\move@AF
}{}%
}%
\move@AUAF
}%
\def\@secondofthree#1#2#3{#2}%
\def\@join#1#2#3{%
\@if@empty{#2}{#3}{#2#1#3}%
}%
\def\@separator{;\space}%
\let\surname\@firstofone
\let\firstname\@firstofone
\newcommand\frontmatter@and{\class@err{\protect\and\space is not supported}}
\def\cat@comma@active{\catcode`\,\active}%
{\cat@comma@active\gdef,{\active@comma}}%
\def\active@comma{,\penalty-300\relax}%
\newcommand\affiliation{%
\frontmatterverbose@sw{\typeout{\string\affiliation}}{}%
\move@AU\move@AF
\begingroup
\cat@comma@active
\@affiliation
}%
\def\@affiliation#1{%
\endgroup
\let\@AF@join\@affil@join
\@affil@def{#1}%
}%
\newcommand\frontmatter@noaffiliation{%
\frontmatterverbose@sw{\typeout{\string\noaffiliation}}{}%
\move@AU\move@AF
\@affil@none\move@AF
\move@AUAF
}%
\def\blankaffiliation{{}}%
\def\@affil@cleared{{{}}{}}%
\def\@affil@nil{{\relax}{}}%
\appdef\frontmatter@init{%
\@affil@init
}%
\def\@affil@none{%
\let\@affil\@affil@nil
}%
\def\@affil@init{%
\let\@affil\@affil@cleared
}%
\def\@affilclear@sw{\@ifx{\@affil\@affil@cleared}}%
\def\@affil@def#1{%
\def\@affil{{#1}{}}%
}%
\def\@affil@join@#1#2#3{%
\def\@affil{{#1}{\@join{\@separator}{#2}{#3}}}%
}%
\def\@affil@join{\expandafter\@affil@join@\@affil}%
\def\move@AF{%
\@affilclear@sw{}{%
\@booleanfalse\temp@sw
\let\@tempd\@empty
\@affils@sw{%
\expandafter\@affil@addr@def\expandafter\@tempa\@affil
\def\AFF@opr{\@affil@match\@tempa}%
\@AFF@list
}{}\temp@sw
{%
\expandafter\@affil@aux@def\expandafter\@tempb\@affil
\@ifx{\@tempb\@empty}{}{%
\@ifx{\@tempb\@tempd}{}{%
\class@warn{%
Ancillary information for \@tempa\space must not be different!
Please put all of it on the first instance%
}%
}%
}%
}%
{%
\@ifx{\@affil\@affil@nil}{%
\def\@tempc{0}%
\@argswap@val{0}%
}{%
\advance\c@affil\@ne
\expandafter\def\expandafter\@tempc\expandafter{\the\c@affil}%
\expandafter\@argswap@val\expandafter{\the\c@affil}%
}%
{%
\expandafter\@argswap@val\expandafter{\the\c@collab}{%
\expandafter\@argswap@val\expandafter{\@affil}{%
\add@list@val@val@val\@AFF@list\AFF@opr
}%
}%
}%
}%
\appdef@eval\AF@grp\@tempc
\frontmatterverbose@sw{\say\AF@grp}{}%
\@affil@init
}%
}%
\def\@affil@addr@def#1#2#3{%
\def#1{#2}%
}%
\def\@affil@aux@def#1#2#3{%
\def#1{#3}%
}%
\def\add@list@val@val@val#1#2#3#4#5{%
\appdef#1{#2{#5}{#4}#3}%
\frontmatterverbose@sw{\say#1}{}%
}%
\def\@affil@match#1#2#3#4#5{%
\temp@sw{}{%
\def\@tempifx{#4}%
\@ifx{\@tempifx#1}{%
\groupauthors@sw{%
\@ifnum{#3=\c@collab}{%
\true@sw
}{%
\false@sw
}%
}{%
\true@sw
}%
}{%
\false@sw
}%
{%
\@booleantrue\temp@sw
\def\@tempc{#2}%
\def\@tempd{#5}%
}{%
}%
}%
}%
\def\move@AUAF{%
\frontmatterverbose@sw{\say\AU@grp\say\AF@grp\say\CO@grp}{}%
\@ifx{\AF@grp\@empty}{%
\@ifx{\@empty\CO@grp}{%
}{%
\appdef \@AAC@list{\AF@opr{{0}}}%
\appdef@e \@AAC@list{\CO@grp}%
\appdef@e \@AFG@list{\CO@grp}%
\let\CO@grp\@empty
}%
}{%
\appdef \@AAC@list{\AF@opr}%
\appdef@eval\@AAC@list{\AF@grp}%
\appdef@e \@AAC@list{\AU@grp}%
\@ifx{\@empty\AU@grp}{%
\@ifx{\@empty\CO@grp}%
}{%
\false@sw
}%
{%
}{%
\@booleanfalse\temp@sw
\def\AFG@opr{\x@match\AF@grp}%
\let\CO@opr\@author@gobble
\@AFG@list
\temp@sw{}{%
\appdef \@AFG@list{\AFG@opr}%
\appdef@eval\@AFG@list{\AF@grp}%
}%
\@ifx{\@empty\CO@grp}{}{%
\appdef@e \@AAC@list{\CO@grp}%
\appdef@e \@AFG@list{\CO@grp}%
\let\CO@grp\@empty
}%
}%
\let\CO@grp\@empty
\let\AU@grp\@empty
\let\AF@grp\@empty
}%
\frontmatterverbose@sw{\say\@AAC@list\say\@AFG@list}{}%
}%
\appdef\frontmatter@init{%
\let\AU@grp\@empty
\let\CO@grp\@empty
\let\AF@grp\@empty
\let\@AAC@list\@empty
\let\@AFG@list\@empty
\let\@AFF@list\@empty
}%
\appdef\frontmatter@init{%
\let\@AF@join\@AF@join@error
}%
\def\@AF@join@error#1{%
\class@warn{%
\string\email, \string\homepage, \string\thanks, or \string\altaffiliation\space
appears in wrong context.
}%
}%
\def\sanitize@url{%
\@makeother\%%
\@makeother\~%
\@makeother\_%
}%
\newcommand*\email[1][]{\begingroup\sanitize@url\@email{#1}}%
\def\@email#1#2{%
\endgroup
\@AF@join{#1\href{mailto:#2}{#2}}%
}%
\newcommand*\homepage[1][]{\begingroup\sanitize@url\@homepage{#1}}%
\def\@homepage#1#2{%
\endgroup
\@AF@join{#1\href{#2}{#2}}%
}%
\appdef\class@documenthook{%
\providecommand\href[1]{}%
}%
\def\frontmatter@thanks{% implicit #1
\@AF@join
}%
\newcommand*\altaffiliation[2][]{%
\@AF@join{#1#2}%
}%
\def\set@listcomma@list#1{%
\expandafter\@reset@ac\expandafter#1#1{0}\@reset@ac{%
\let\@listcomma\relax
}{%
\let\@listcomma\@listcomma@comma
}%
}%
\def\set@listcomma@count#1{%
\@ifnum{#1=\tw@}{%
\let\@listcomma\relax
}{%
\let\@listcomma\@listcomma@comma
}%
}%
\def\@reset@ac#1#2#3\@reset@ac{%
\def#1{#3}%
\@tempcnta#2\relax
\@ifnum{#2=\tw@}%
}%
\def\@listand{\@ifnum{\@tempcnta=\tw@}{\andname\space}{}}%
\def\@listcomma@comma{\@ifnum{\@tempcnta>\@ne}{,}{}}%
\def\@listcomma@comma@UK{\@ifnum{\@tempcnta>\tw@}{,}{}}%
\def\@collaboration@gobble#1#2#3{}%
\def\doauthor#1#2#3{%
\ignorespaces#1\unskip\@listcomma
\begingroup
#3%
\@if@empty{#2}{\endgroup{}{}}{\endgroup{\comma@space}{}\frontmatter@footnote{#2}}%
\space \@listand
}%
\def\x@match#1#2{%
\temp@sw{}{%
\def\@tempifx{#2}%
\@ifx{\@tempifx#1}{%
\@booleantrue\temp@sw
}{%
}%
}%
}%
\def\y@match#1#2#3{%
\temp@sw{}{%
\def\@tempifx{#3}%
\@ifx{\@tempifx#1}{%
\@booleantrue\temp@sw
\def\@tempb{#2}%
}{%
}%
}%
}%
\def\frontmatter@footnote#1{%
\begingroup
\@booleanfalse\temp@sw
\def\@tempa{#1}%
\let\@tempb\@empty
\def\@TBN@opr{\y@match\@tempa}%
\@FMN@list
\temp@sw{%
\expandafter\frontmatter@footnotemark
\expandafter{\@tempb}%
}{%
\stepcounter\@mpfn
\expandafter\expandafter
\expandafter\frontmatter@foot@mark
\expandafter\expandafter
\expandafter{%
\expandafter \the\csname c@\@mpfn\endcsname
}{#1}%
}%
\endgroup
}%
\def\frontmatter@foot@mark#1#2{%
\frontmatter@footnotemark{#1}%
\g@addto@macro\@FMN@list{\@TBN@opr{#1}{#2}}%
}%
\appdef\frontmatter@init{%
\global\let\@FMN@list\@empty
}%
\def\frontmatter@footnotemark#1{%
\leavevmode
\ifhmode\edef\@x@sf{\the\spacefactor}\nobreak\fi
\begingroup
\hyper@linkstart {link}{frontmatter.#1}%
\csname c@\@mpfn\endcsname#1\relax
\def\@thefnmark{\frontmatter@thefootnote}%
\@makefnmark
\hyper@linkend
\endgroup
\ifhmode\spacefactor\@x@sf\fi
\relax
}%
\def\keywords#1{%
\aftermaketitle@chk{\keywords}%
\gdef\@keywords{#1}%
}%
\appdef\frontmatter@init{%
\let\@keywords\@empty
}%
\newcommand*\frontmatter@date[2][\Dated@name]{\def\@date{#1#2}}%
\def\@date{}%
\newcommand*\received[2][\Received@name]{\def\@received{#1#2}}%
\def\@received{}%
\newcommand*\revised[2][\Revised@name]{\def\@revised{#1#2}}%
\def\@revised{}%
\newcommand*\accepted[2][\Accepted@name]{\def\@accepted{#1#2}}%
\def\@accepted{}%
\newcommand*\published[2][\Published@name]{\def\@published{#1#2}}%
\def\@published{}%
\def\pacs#1{%
\aftermaketitle@chk{\pacs}%
\gdef\@pacs{#1}%
}%
\appdef\frontmatter@init{%
\let\@pacs\@empty
}%
\def\preprint#1{\gappdef\@preprint{\preprint{#1}}}%
\appdef\frontmatter@init{%
\let\@preprint\@empty
}%
\newbox\absbox
\def\toclevel@abstract{1}%
\def\addcontents@abstract{%
\phantomsection
\expandafter\def\csname Parent0\endcsname{section*.2}%
\expandafter\@argswap@val\expandafter{\abstractname}{\addcontentsline{toc}{abstract}}%
}%
\newenvironment{frontmatter@abstract}{%
\aftermaketitle@chk{\begin{abstract}}%
\global\setbox\absbox\vbox\bgroup
\color@begingroup
\columnwidth\textwidth
\hsize\columnwidth
\@parboxrestore
\def\@mpfn{mpfootnote}\def\thempfn{\thempfootnote}\c@mpfootnote\z@
\let\@footnotetext\frontmatter@footnotetext
\minipagefootnote@init
\let\set@listindent\set@listindent@
\let\@listdepth\@mplistdepth \@mplistdepth\z@
\let@environment{description}{frontmatter@description}%
\@minipagerestore
\@setminipage
\frontmatter@abstractheading
\frontmatter@abstractfont
\let\footnote\mini@note
\expandafter\everypar\expandafter{\the\everypar\addcontents@abstract\everypar{}}%
}{%
\par
\unskip
\minipagefootnote@here
\@minipagefalse %% added 24 May 89
\color@endgroup
\egroup
}%
\long\def\frontmatter@footnotetext#1{%
\minipagefootnote@pick
\set@footnotefont
\set@footnotewidth
\@parboxrestore
\protected@edef\@currentlabel{\csname p@\@mpfn\endcsname\@thefnmark}%
\color@begingroup
\frontmatter@makefntext{%
\rule\z@\footnotesep\ignorespaces#1\@finalstrut\strutbox\vadjust{\vskip\z@skip}%
}%
\color@endgroup
\minipagefootnote@drop
}%
\def\ltx@no@footnote{%
\let\ltx@xfootnote\ltx@no@xfootnote\let\ltx@yfootnote\ltx@no@yfootnote
\let\ltx@xfootmark\ltx@no@xfootmark\let\ltx@yfootmark\ltx@no@yfootmark
\let\ltx@xfoottext\ltx@no@xfoottext\let\ltx@yfoottext\ltx@no@yfoottext
}%
\def\ltx@no@xfootnote[#1]#2{\ltx@no@footwarn\footnote}%
\def\ltx@no@yfootnote#1{\ltx@no@footwarn\footnote}%
\def\ltx@no@xfootmark[#1]{\ltx@no@footwarn\footnotemark}%
\def\ltx@no@yfootmark{\ltx@no@footwarn\footnotemark}%
\def\ltx@no@xfoottext[#1]#2{\ltx@no@footwarn\footnotetext}%
\def\ltx@no@yfoottext#1{\ltx@no@footwarn\footnotetext}%
\def\ltx@no@footwarn#1{%
\class@warn{%
The \string#1\space command is not legal on the title page;
using \string\thanks\space instead might suit you: consult the manual for details%
}%
}%
\def\frontmatter@abstractheading{%
\begingroup
\centering\large
\abstractname
\par
\endgroup
}%
\def\frontmatter@abstractfont{}%
\newenvironment{frontmatter@description}{%
\list{}{%
\leftmargin\z@
\labelwidth\z@
\itemindent\z@
\let\makelabel\frontmatter@descriptionlabel
}%
}{%
\endlist
}%
\def\frontmatter@descriptionlabel#1{%
\hspace\labelsep
\normalfont\bfseries
#1:%
}%
\def\frontmatter@abstractwidth{\textwidth}
\def\frontmatter@abstract@produce{%
\par
\preprintsty@sw{%
\do@output@MVL{%
\vskip\frontmatter@preabstractspace
\vskip200\p@\@plus1fil
\penalty-200\relax
\vskip-200\p@\@plus-1fil
}%
}{%
\addvspace{\frontmatter@preabstractspace}%
}%
\begingroup
\dimen@\baselineskip
\setbox\z@\vtop{\unvcopy\absbox}%
\advance\dimen@-\ht\z@\advance\dimen@-\prevdepth
\@ifdim{\dimen@>\z@}{\vskip\dimen@}{}%
\endgroup
\begingroup
\prep@absbox
\unvbox\absbox
\post@absbox
\endgroup
\@ifx{\@empty\mini@notes}{}{\mini@notes\par}%
\addvspace\frontmatter@postabstractspace
}%
\appdef\frontmatter@init{\let\mini@notes\@empty}%
\let\prep@absbox\@empty
\let\post@absbox\@empty
\def\frontmatter@preabstractspace{.5\baselineskip}
\def\frontmatter@postabstractspace{.5\baselineskip}
\newenvironment{frontmatter@titlepage}{%
\twocolumn@sw{\onecolumngrid}{\newpage}%
\thispagestyle{titlepage}%
\setcounter{page}\@ne
}{%
\twocolumn@sw{\twocolumngrid}{\newpage}%
\twoside@sw{}{%
\setcounter{page}\@ne
}%
}%
\def\frontmatter@maketitle{%
\@author@finish
\title@column\titleblock@produce
\suppressfloats[t]%
\let\and\relax
\let\affiliation\@gobble
\let\author\@gobble
\let\@AAC@list\@empty
\let\@AFF@list\@empty
\let\@AFG@list\@empty
\let\@AF@join\@AF@join@error
\let\email\@gobble
\let\@address\@empty
\let\maketitle\relax
\let\thanks\@gobble
\let\abstract\@undefined\let\endabstract\@undefined
\titlepage@sw{%
\vfil
\clearpage
}{}%
}%
\def\maketitle@Hy{%
\let\Hy@saved@footnotemark\@footnotemark
\let\Hy@saved@footnotetext\@footnotetext
\let\@footnotemark\H@@footnotemark
\let\@footnotetext\H@@footnotetext
\@ifnextchar[%]
\Hy@maketitle@optarg
{%
\HyOrg@maketitle
\Hy@maketitle@end
}%
}%
\appdef\class@documenthook{%
\@ifx{\maketitle\maketitle@Hy}{%
\class@info{Taking \string\maketitle\space back from hyperref}%
\let\maketitle\frontmatter@maketitle
}{%
}%
}%
\def\titleblock@produce{%
\begingroup
\ltx@footnote@pop
\def\@mpfn{mpfootnote}%
\def\thempfn{\thempfootnote}%
\c@mpfootnote\z@
\let\@makefnmark\frontmatter@makefnmark
\frontmatter@setup
\thispagestyle{titlepage}\label{FirstPage}%
\frontmatter@title@produce
\groupauthors@sw{%
\frontmatter@author@produce@group
}{%
\frontmatter@author@produce@script
}%
\frontmatter@RRAPformat{%
\expandafter\produce@RRAP\expandafter{\@date}%
\expandafter\produce@RRAP\expandafter{\@received}%
\expandafter\produce@RRAP\expandafter{\@revised}%
\expandafter\produce@RRAP\expandafter{\@accepted}%
\expandafter\produce@RRAP\expandafter{\@published}%
}%
\frontmatter@abstract@produce
\@ifx@empty\@pacs{}{%
\@pacs@produce\@pacs
}%
\@ifx@empty\@keywords{}{%
\@keywords@produce\@keywords
}%
\par
\frontmatter@finalspace
\endgroup
}%
\def\toclevel@title{0}%
\def\frontmatter@title@produce{%
\begingroup
\frontmatter@title@above
\frontmatter@title@format
\@title
\unskip
\phantomsection\expandafter\@argswap@val\expandafter{\@title}{\addcontentsline{toc}{title}}%
\@ifx{\@title@aux\@title@aux@cleared}{}{%
\expandafter\frontmatter@footnote\expandafter{\@title@aux}%
}%
\par
\frontmatter@title@below
\endgroup
}%
\appdef\let@mark{\let\\\relax}%
\def\frontmatter@title@above{}%
\def\frontmatter@title@format{}%
\def\frontmatter@title@below{\addvspace{\baselineskip}}%
\def\frontmatter@author@produce@script{%
\begingroup
\let\@author@present\@author@present@script
\frontmatterverbose@sw{\typeout{\string\frontmatter@author@produce@script:}\say\@AAC@list\say\@AFF@list\say\@AFG@list}{}%
\let\AU@temp\@empty
\@tempcnta\z@
\let\AF@opr \@gobble
\def\AU@opr{\@author@count\@tempcnta}%
\def\CO@opr{\@collaboration@count\AU@temp\@tempcnta}%
\@AAC@list
\expandafter\CO@opr\@author@cleared
\begingroup
\frontmatter@authorformat
\let\AF@opr \@affilID@def
\let\AU@opr \@author@present
\def\CO@opr{\@collaboration@present\AU@temp}%
\set@listcomma@list\AU@temp
\@AAC@list
\unskip\unskip
\par
\endgroup
\begingroup
\frontmatter@above@affiliation@script
\let\AFF@opr \@affil@script
\@AFF@list
\frontmatter@footnote@produce
\par
\endgroup
\endgroup
}%
\def\@author@count#1{%
\advance#1\@ne
\@author@gobble
}%
\def\@collaboration@present#1#2#3#4{%
\par
\begingroup
\frontmatter@collaboration@above
\@affilID@def{}%
\@tempcnta\z@
\@author@present{}{(\ignorespaces#3\unskip)}{#4}%
\par
\endgroup
\set@listcomma@list#1%
}%
\def\frontmatter@collaboration@above{}%
\def\@collaboration@count#1#2{%
\appdef@eval#1{\the#2}#2\z@
\@author@gobble
}%
\def\@affilID@def{\def\@affilID@temp}%
\let\@affilID@temp\@empty
\def\affil@script#1#2#3{%
\def\@tempifx{#1}\@ifx{\@tempifx\@tempa}{%
\@if@empty{#2}{}{%
\par
\begingroup
\def\@thefnmark{#1}\@makefnmark\ignorespaces
#2%
\@if@empty{#3}{}{\frontmatter@footnote{#3}}%
\par
\endgroup
}%
}{}%
}%
\def\@affil@script#1#2#3#4{%
\@ifnum{#1=\z@}{}{%
\par
\begingroup
\frontmatter@affiliationfont
\@ifnum{\c@affil<\affil@cutoff}{}{%
\def\@thefnmark{#1}\@makefnmark
}%
\ignorespaces#3%
\@if@empty{#4}{}{\frontmatter@footnote{#4}}%
\par
\endgroup
}%
}%
\let\affil@cutoff\@ne
\def\@author@present@script#1#2#3{%
\begingroup
\gdef\comma@space{\textsuperscript{,\,}}%
\doauthor{#2}{#3}{\@affil@present@script}%
\endgroup
\advance\@tempcnta\m@ne
}%
\def\@affilcomma#1#2{%
\@ifx{\z@#1}{%
\@ifx{\relax#2}{}{%
\@affilcomma{#2}%
}%
}{%
#1%
\@ifx{\relax#2}{}{%
\@ifx{\z@#2}{%
\@affilcomma
}{%
,\,\@affilcomma{#2}%
}%
}%
}%
}%
\def\@affil@present@script{%
\let\@tempa\@empty
\expandafter\@affil@present@script@\@affilID@temp\relax
}%
\def\@affil@present@script@#1{%
\@ifx{\relax#1}{%
\@ifx{\@tempa\@empty}{%
\aftergroup\false@sw
}{%
\textsuperscript{\expandafter\@affilcomma\@tempa\relax\relax}%
\aftergroup\true@sw
}%
}{%
\@ifnum{#1=\z@}{}{\appdef\@tempa{{#1}}}%
\@affil@present@script@
}%
}%
\@provide\@author@parskip{\z@skip}%
\def\frontmatter@author@produce@group{%
\begingroup
\let\@author@present\@author@present@group
\frontmatter@authorformat
\frontmatterverbose@sw{\typeout{\string\frontmatter@author@produce@group:}\say\@AAC@list\say\@AFF@list\say\@AFG@list}{}%
\let\AU@temp\@empty
\set@listcomma@list\AU@temp
\def\CO@opr{\@collaboration@present\AU@temp}%
\let\AFG@opr \affils@present@group
\let\@listcomma\relax
\@AFG@list
\frontmatter@footnote@produce
\par
\endgroup
\frontmatter@authorbelow
}%
\@provide\frontmatter@authorbelow{}%
\def\affils@present@group#1{%
\begingroup
\def\AF@temp{#1}%
\@tempcnta\z@
\let\AU@opr \@undefined
\let\CO@opr \@undefined
\def\AF@opr{\@affilID@count\AF@temp\@tempcnta}%
\@AAC@list
\@ifnum{\@tempcnta=\z@}{}{%
\begingroup
\frontmatter@above@affilgroup
\set@listcomma@count\@tempcnta
\let\AU@opr \@undefined
\let\CO@opr \@undefined
\def\AF@opr{\@affilID@match\AF@temp}%
\@AAC@list
\endgroup
\begingroup
\par
\frontmatter@above@affiliation
\frontmatter@affiliationfont
\let\\\frontmatter@addressnewline
\@tempcnta\z@
\@tfor\AF@temp:=#1\do{%
\expandafter\@ifx\expandafter{\expandafter\z@\AF@temp}{}{%
\advance\@tempcnta\@ne
}%
}%
\@ifnum{\@tempcnta=\tw@}{%
\let\@listcomma\relax
}{}%
\def@after@address
\runinaddress@sw{%
}{%
\tightenlines@sw{}{%
\parskip\z@
}%
\appdef\after@address\par
}%
\let\AFF@opr \@affil@group
\do@affil@fromgroup\@AFF@list#1\relax
\endgroup
}%
\par
\endgroup
}%
\def\def@after@address{\def\after@address{\@listcomma\ \@listand}}%
\def\def@after@address@empty{\let\after@address\@empty}%
\def\@affilID@count#1#2#3{%
\def\@tempifx{#3}%
\@ifx{\@tempifx#1}{%
\def\AU@opr{\@author@count#2}%
}{%
\let\AU@opr \@author@gobble
}%
\let\CO@opr \@collaboration@gobble
}%
\def\@affilID@match#1#2{%
\def\@tempifx{#2}%
\@ifx{\@tempifx#1}{%
\let\AU@opr \@author@present
}{%
\let\AU@opr \@author@gobble
}%
\let\CO@opr \@collaboration@gobble
}%
\def\do@affil@fromgroup#1#2{%
\@ifx{\relax#2}{}{%
\count@#2\relax
\@ifnum{\z@=\count@}{}{#1}%
\do@affil@fromgroup#1%
}%
}%
\def\@affil@group#1#2#3#4{%
\@ifnum{#1=\count@}{%
\def\@tempa{#3}%
\@ifx{\@tempa\blankaffiliation}{}{%
#3%
\@if@empty{#4}{}{%
\frontmatter@footnote{#4}%
}%
\after@address
}%
\advance\@tempcnta\m@ne
}{}%
}%
\def\@author@present@group#1#2#3{%
\gdef\comma@space{\gdef\comma@space{\textsuperscript{,\,}}}%
\doauthor{#2}{#3}{\@affil@present@group}%
\advance\@tempcnta\m@ne
}%
\def\@affil@present@group{%
\aftergroup\false@sw
}%
\def\@pacs@produce#1{%
\showPACS@sw{%
\begingroup
\frontmatter@PACS@format
\@pacs@name#1\par
\endgroup
}{%
\@if@empty{#1}{}{%
\class@warn{\PACS@warn}%
}%
}%
}%
\def\PACS@warn{If you want your PACS to appear in your output, use document class option showpacs}%
\def\@keywords@produce#1{%
\showKEYS@sw{%
\begingroup
\frontmatter@keys@format
\@keys@name#1\par
\endgroup
}{%
\@if@empty{#1}{}{%
\class@warn{If you want your keywords to appear in your output, use document class option showkeys}%
}%
}%
}%
\def\frontmatter@footnote@produce@footnote{%
\let\@TBN@opr\present@FM@footnote
\@FMN@list
\global\let\@FMN@list\@empty
}%
\def\present@FM@footnote#1#2{%
\begingroup
\csname c@\@mpfn\endcsname#1\relax
\def\@thefnmark{\frontmatter@thefootnote}%
\frontmatter@footnotetext{#2}%
\endgroup
}%
\def\frontmatter@footnote@produce@endnote{%
}%
\appdef\frontmatter@init{%
\@ifxundefined\title@column {\let\title@column\@empty}{}%
\@ifxundefined\preprintsty@sw {\@booleanfalse\preprintsty@sw}{}%
\@ifxundefined\frontmatter@footnote@produce{\let\frontmatter@footnote@produce\frontmatter@footnote@produce@footnote}{}%
\@ifxundefined\do@output@MVL {\let\do@output@MVL\@firstofone}{}%
\@ifxundefined\comma@space {\let\comma@space\@empty}{}%
}%
\def\frontmatter@thefootnote{%
\altaffilletter@sw{\@alph}{\@fnsymbol}{\csname c@\@mpfn\endcsname}%
}%
\@ifx{\altaffilletter@sw\@undefined}{\@booleantrue\altaffilletter@sw}{}%
\def\frontmatter@makefnmark{%
\@textsuperscript{%
\normalfont\@thefnmark
}%
}%
\long\def\frontmatter@makefntext#1{%
\parindent 1em
\noindent
\Hy@raisedlink{\hyper@anchorstart{frontmatter.\expandafter\the\csname c@\@mpfn\endcsname}\hyper@anchorend}%
\@makefnmark
#1%
}%
\def\frontmatter@setup{}%
\def\frontmatter@RRAPformat#1{%
\removelastskip
\begingroup
\frontmatter@RRAP@format
#1\par
\endgroup
}%
\def\punct@RRAP{; }%
\def\produce@RRAP#1{%
\@if@empty{#1}{}{%
\@ifvmode{\leavevmode}{\unskip\punct@RRAP\ignorespaces}%
#1%
}%
}%
\def\frontmatter@authorformat{}%
\def\frontmatter@above@affilgroup{}%
\def\frontmatter@above@affiliation{}%
\def\frontmatter@above@affiliation@script{}%
\def\frontmatter@affiliationfont{\itshape\selectfont}%
\def\frontmatter@RRAP@format{}%
\def\frontmatter@PACS@format{}%
\def\frontmatter@keys@format{}%
\def\frontmatter@finalspace{\addvspace{18\p@}}
\def\frontmatter@addressnewline{%
\@ifhmode{\skip@\lastskip\unskip\unpenalty\break\hskip\skip@}{}%
% was: \vskip-.5ex
}%
\def\frontmatter@preabstractspace{5.5\p@}
\def\frontmatter@postabstractspace{6.5\p@}
\def\aftermaketitle@chk#1{%
\@ifx{\maketitle\relax}{%
\class@err{\protect#1 must be used before \protect\maketitle}%
}{}%
}%
\def\ps@titlepage{\ps@empty}%
\def\volumeyear#1{\gdef\@volumeyear{#1}}%
\def\@volumeyear{}%
\def\volumenumber#1{\gdef\@volumenumber{#1}}%
\def\@volumenumber{}%
\def\issuenumber#1{\gdef\@issuenumber{#1}}%
\def\@issuenumber{}%
\def\eid#1{\gdef\@eid{#1}}%
\def\@eid{}%
\def\startpage#1{\gdef\@startpage{#1}\c@page#1\relax}%
\def\@startpage{\pageref{FirstPage}}%
\def\endpage#1{\gdef\@endpage{#1}}%
\def\@endpage{\pageref{LastPage}}%
\def\print@toc#1{%
\begingroup
\expandafter\section
\expandafter*%
\expandafter{%
\csname#1name\endcsname
}%
\let\appendix\appendix@toc
\@starttoc{#1}%
\endgroup
}%
\def\appendix@toc{}%
\def\Dated@name{Dated }%
\def\Received@name{Received }%
\def\Revised@name{Revised }%
\def\Accepted@name{Accepted }%
\def\Published@name{Published }%
\appdef\robustify@contents{%
\let\thanks\@gobble\let\class@warn\@gobble
\def\begin{\string\begin}\def\end{\string\end}%
}%
\@ifxundefined\frontmatter@syntax@sw{\@booleantrue\frontmatter@syntax@sw}{}%
\frontmatter@syntax@sw{%
\let\title \frontmatter@title
\let\author \frontmatter@author
\let\date \frontmatter@date
\@ifxundefined\@maketitle{%
\let\maketitle \frontmatter@maketitle
\@booleantrue \titlepage@sw
}{%
\let\@maketitle \frontmatter@maketitle
\prepdef\maketitle\@author@finish
}%
\let\noaffiliation \frontmatter@noaffiliation
\let\thanks@latex \thanks
\let\thanks \frontmatter@thanks
\let\and@latex \and
\let\and \frontmatter@and
\let@environment{titlepage}{frontmatter@titlepage}%
\let@environment{abstract}{frontmatter@abstract}%
}{%
\let\noaffiliation\@empty
}%
\typeout{%
ltxgrid%
[2010/07/25/20:33:00 4.1r page grid package (portions licensed from W. E. Baxter web at superscript.com)]% \fileversion
}%
\newcounter{linecount}
\def\loop@line#1#2{%
\par
\hb@xt@\hsize{%
\global\advance#1\@ne
\edef\@tempa{\@ifnum{100>#1}{0}{}\@ifnum{10>#1}{0}{}\number#1}%
\@tempa\edef\@tempa{\special{line:\@tempa}}\@tempa
\vrule depth2.5\p@#2\leaders\hrule\hfil
}%
}%
\def\lineloop#1{%
\loopwhile{\loop@line\c@linecount{}\@ifnum{#1>\c@linecount}}%
}%
\def\linefoot#1{%
\loop@line\c@linecount{%
\footnote{%
#1\special{foot:#1}\vrule depth2.5\p@\leaders\hrule\hfill
}%
}%
}%
\let\@@mark\mark
\let\@@topmark\topmark
\let\@@firstmark\firstmark
\let\@@botmark\botmark
\let\@@splitfirstmark\splitfirstmark
\let\@@splitbotmark\splitbotmark
\def\@themark{{}{}{}{}}%
\def\nul@mark{{}{}{}{}\@@nul}%
\def\set@mark@netw@#1#2#3#4#5#6#7{\gdef#1{{#6}{#7}{#4}{#5}}\do@mark}%
\def\set@marktw@#1#2#3#4#5#6{\gdef#1{{#2}{#6}{#4}{#5}}\do@mark}%
\def\set@markthr@@#1#2#3#4#5#6{\gdef#1{{#2}{#3}{#6}{#5}}\do@mark}%
\def\get@mark@@ne#1#2#3#4#5\@@nul{#1}%
\def\get@mark@tw@#1#2#3#4#5\@@nul{#2}%
\def\get@mark@thr@@#1#2#3#4#5\@@nul{#3}%
\def\get@mark@f@ur#1#2#3#4#5\@@nul{#4}%
\def\mark@netw@{\expandafter\set@mark@netw@\expandafter\@themark\@themark}%
\def\marktw@{\expandafter\set@marktw@\expandafter\@themark\@themark}%
\def\markthr@@{\expandafter\set@markthr@@\expandafter\@themark\@themark}%
\def\do@mark{\do@@mark\@themark\nobreak@mark}%
\def\do@@mark#1{%
\begingroup
\let@mark
\@@mark{#1}%
\endgroup
}%
\def\let@mark{%
\let\protect\@unexpandable@protect
\let\label\relax
\let\index\relax
\let\glossary\relax
}%
\def\nobreak@mark{%
\@if@sw\if@nobreak\fi{\@ifvmode{\nobreak}{}}{}%
}%
\def\mark@envir{\markthr@@}%
\def\bot@envir{%
\expandafter\expandafter
\expandafter\get@mark@thr@@
\expandafter\@@botmark
\nul@mark
}%
\def\markboth{\mark@netw@}%
\def\markright{\marktw@}%
\def\leftmark{%
\expandafter\expandafter
\expandafter\get@mark@@ne
\expandafter\saved@@botmark
\nul@mark
}%
\def\rightmark{%
\expandafter\expandafter
\expandafter\get@mark@tw@
\expandafter\saved@@firstmark
\nul@mark
}%
\let\primitive@output\output
\long\def\@tempa#1\@@nil{#1}%
\toks@
\expandafter\expandafter
\expandafter{%
\expandafter \@tempa
\the\primitive@output
\@@nil
}%
\newtoks\output@latex
\output@latex\expandafter{\the\toks@}%
\let\output\output@latex
\primitive@output{\dispatch@output}%
\def\dispatch@output{%
\let\par\@@par
\expandafter\let\expandafter\output@procedure\csname output@\the\outputpenalty\endcsname
\@ifnotrelax\output@procedure{}{%
\expandafter\def\expandafter\output@procedure\expandafter{\the\output@latex}%
}%
\expandafter\@ifx\expandafter{\csname output@-\the\execute@message@pen\endcsname\output@procedure}{%
\let\output@procedure\@message@saved
}{}%
\ltxgrid@info@sw{\class@info{\string\dispatch@output}\say\output@procedure\saythe\holdinginserts}{}%
\outputdebug@sw{\output@debug}{}%
\output@procedure
}%
\def\set@output@procedure#1#2{%
\count@\outputpenalty\advance\count@-#2%
\expandafter\let\expandafter#1\csname output@\the\count@\endcsname
}%
\def\output@debug{%
\def\@tempa{\save@message}%
\@ifx{\output@procedure\@tempa}{%
\true@sw
}{%
\@ifnum{\outputpenalty=-\save@column@insert@pen}{%
\@ifnum{\holdinginserts>\z@}%
}{%
\false@sw
}%
}%
{}{\output@debug@}%
}%
\def\output@debug@{%
\saythe\outputpenalty
\saythe\interlinepenalty
\saythe\brokenpenalty
\saythe\clubpenalty
\saythe\widowpenalty
\saythe\displaywidowpenalty
\saythe\predisplaypenalty
\saythe\interdisplaylinepenalty
\saythe\postdisplaypenalty
\saythe\badness
\say\thepagegrid
\saythe\pagegrid@col
\saythe\pagegrid@cur
\saythe\insertpenalties
\say\@@botmark
\saythe\pagegoal
\saythe\pagetotal
\saythe{\badness\@cclv}%
\say\@toplist
\say\@botlist
\say\@dbltoplist
\say\@deferlist
\trace@scroll{%
\showbox\@cclv
\showbox\@cclv@saved
\showbox\pagesofar
\showbox\csname col@1\endcsname
\showbox\footsofar
\showbox\footins
\showbox\footins@saved
\showlists
}%
}%
\@ifxundefined{\outputdebug@sw}{%
\@booleanfalse\outputdebug@sw
}{}%
\def\trace@scroll#1{\begingroup\showboxbreadth\maxdimen\showboxdepth\maxdimen\scrollmode#1\endgroup}%
\def\trace@box#1{\trace@scroll{\showbox#1}}%
\prepdef\@outputpage{\@outputpage@head}%
\let\@outputpage@head\@empty
\appdef\@outputpage{\@outputpage@tail}%
\let\@outputpage@tail\@empty
\def\show@box@size#1#2{%
\show@box@size@sw{%
\begingroup
\setbox\z@\vbox{\unvcopy#2\hrule}%
\class@info{Show box size: #1^^J%
(\the\ht\z@\space X \the\wd\z@)
\the\c@page\space\space\the\pagegrid@cur\space\the\pagegrid@col
}%
\endgroup
}{}%
}%
\def\show@text@box@size{%
\show@box@size{Text column}\@outputbox
\tally@box@size@sw{%
\@ifdim{\wd\@outputbox>\z@}{%
\dimen@\ht\@outputbox\divide\dimen@\@twopowerfourteen
\advance\dimen@-\dp\csname box@size@\the\pagegrid@col\endcsname
\@ifdim{\dimen@>\z@}{%
\advance\dimen@ \ht\csname box@size@\the\pagegrid@col\endcsname
\global\ht\csname box@size@\the\pagegrid@col\endcsname\dimen@
\show@box@size@sw{%
\class@info{Column: \the\dimen@}%
}{}%
}{}%
}{}%
\global\dp\csname box@size@\the\pagegrid@col\endcsname\z@
}{}%
}%
\def\show@pagesofar@size{%
\show@box@size{Page so far}\pagesofar
\dimen@\ht\pagesofar\divide\dimen@\@twopowerfourteen
\global\dp\csname box@size@1\endcsname\dimen@
\show@box@size@sw{%
\class@info{Pagesofar: \the\dimen@}%
}{}%
}%
\@booleanfalse\tally@box@size@sw
\@booleanfalse\show@box@size@sw
\expandafter\newbox\csname box@size@1\endcsname
\expandafter\setbox\csname box@size@1\endcsname\hbox{}%
\expandafter\newbox\csname box@size@2\endcsname
\expandafter\setbox\csname box@size@2\endcsname\hbox{}%
\def\total@text{%
\@tempdima\the\ht\csname box@size@2\endcsname\divide\@tempdima\@twopowertwo\@tempcnta\@tempdima
\@tempdimb\the\ht\csname box@size@1\endcsname\divide\@tempdimb\@twopowertwo\@tempcntb\@tempdimb
\class@info{Total text: Column(\the\@tempcnta pt), Page(\the\@tempcntb pt)}%
}%
\def\natural@output{\toggle@insert{\output@holding}{\output@moving}}%
\output@latex{\natural@output}%
\def\output@holding{%
\csname output@init@\bot@envir\endcsname
\@if@exceed@pagegoal{\unvcopy\@cclv}{%
\setbox\z@\vbox{\unvcopy\@cclv}%
\outputdebug@sw{\trace@box\z@}{}%
\dimen@\ht\@cclv\advance\dimen@-\ht\z@
\dead@cycle@repair\dimen@
}{%
\dead@cycle
}%
}%
\def\@if@exceed@pagegoal#1{%
\begingroup
\setbox\z@\vbox{#1}%
\dimen@\ht\z@\advance\dimen@\dp\z@
\outputdebug@sw{\saythe\dimen@}{}%
\@ifdim{\dimen@>\pagegoal}{%
\setbox\z@\vbox{\@@mark{}\unvbox\z@}%
\splittopskip\topskip
\splitmaxdepth\maxdepth
\vbadness\@M
\vfuzz\maxdimen
\setbox\tw@\vsplit\z@ to\pagegoal
\outputdebug@sw{\trace@scroll{\showbox\tw@\showbox\z@}}{}%
\setbox\tw@\vbox{\unvbox\tw@}%
\@ifdim{\ht\tw@=\z@}{%
\ltxgrid@info{Found overly large chunk while preparing to move insertions. Attempting repairs}%
\aftergroup\true@sw
}{%
\aftergroup\false@sw
}%
}{%
\aftergroup\false@sw
}%
\endgroup
}%
\def\output@moving{%
\set@top@firstmark
\@ifnum{\outputpenalty=\do@newpage@pen}{%
\setbox\@cclv\vbox{%
\unvbox\@cclv
\remove@lastbox
\@ifdim{\ht\z@=\ht\@protection@box}{\box\lastbox}{\unskip}%
}%
}{}%
\@cclv@nontrivial@sw{%
\expandafter\output@do@prep\csname output@prep@\bot@envir \endcsname
\@makecolumn\true@sw
\expandafter\output@column@do\csname output@column@\thepagegrid\endcsname
\protect@penalty\do@startcolumn@pen
\clearpage@sw{%
\protect@penalty\do@endpage@pen
}{}%
\expandafter\let\expandafter\output@post@\csname output@post@\bot@envir \endcsname
\outputdebug@sw{\say\output@post@}{}%
\@ifx{\output@post@\relax}{\output@post@document}{\output@post@}%
}{%
\void@cclv
}%
\set@colht
\global\@mparbottom\z@
\global\@textfloatsheight\z@
}%
\def\output@do@prep#1{%
\outputdebug@sw{\class@info{Prep: \string#1}}{}%
\@ifx{#1\relax}{\output@prep@document}{#1}%
}%
\def\output@column@do#1{%
\outputdebug@sw{\class@info{Output column: \string#1}}{}%
\@ifx{#1\relax}{\output@column@one}{#1}%
}%
\def\void@cclv{\begingroup\setbox\z@\box\@cclv\endgroup}%
\def\remove@lastbox{\setbox\z@\lastbox}%
\def\@cclv@nontrivial@sw{%
\@ifx@empty\@toplist{%
\@ifx@empty\@botlist{%
\@ifvoid\footins{%
\@ifvoid\@cclv{%
\false@sw
}{%
\setbox\z@\vbox{\unvcopy\@cclv}%
\@ifdim{\ht\z@=\topskip}{%
\setbox\z@\vbox\bgroup
\unvbox\z@
\remove@lastbox
\dimen@\lastskip\unskip
\@ifdim{\ht\z@=\ht\@protection@box}{%
\advance\dimen@\ht\z@
\@ifdim{\dimen@=\topskip}{%
\aftergroup\true@sw
}{%
\aftergroup\false@sw
}%
}{%
\aftergroup\false@sw
}%
\egroup
{%
\false@sw
}{%
\true@sw
}%
}{%
\@ifdim{\ht\z@=\z@}{%
\ltxgrid@info{Found trivial column. Discarding it}%
\outputdebug@sw{\trace@box\@cclv}{}%
\false@sw
}{%
\true@sw
}%
}%
}%
}{%
\true@sw
}%
}{%
\true@sw
}%
}{%
\true@sw
}%
}%
\def\protect@penalty#1{\protection@box\penalty-#1\relax}%
\newbox\@protection@box
\setbox\@protection@box\vbox to1986sp{\vfil}%
\def\protection@box{\nointerlineskip\copy\@protection@box}%
\def\dead@cycle@repair#1{%
\expandafter\do@@mark
\expandafter{%
\@@botmark
}%
\unvbox\@cclv
\nointerlineskip
\vbox to#1{\vss}%
\@ifnum{\outputpenalty<\@M}{\penalty\outputpenalty}{}%
}%
\def\dead@cycle@repair@protected#1{%
\expandafter\do@@mark
\expandafter{%
\@@botmark
}%
\begingroup
\unvbox\@cclv
\remove@lastbox
\nointerlineskip
\advance#1-\ht\@protection@box
\vbox to#1{\vss}%
\protection@box % Reinsert protection box
\@ifnum{\outputpenalty<\@M}{\penalty\outputpenalty}{}%
\endgroup
}%
\def\dead@cycle{%
\expandafter\do@@mark
\expandafter{%
\@@botmark
}%
\unvbox\@cclv
\@ifnum{\outputpenalty<\@M}{\penalty\outputpenalty}{}%
}%
\def\output@init@document{%
\ltxgrid@info@sw{\class@info{\string\output@init@document}}{}%
\global\vsize\vsize
}%
\def\output@prep@document{%
\ltxgrid@foot@info@sw{\class@info{\string\output@prep@document}\trace@scroll{\showbox\footins\showbox\footsofar}}{}%
\@ifvoid\footsofar{%
}{%
\global\setbox\footins\vbox\bgroup
\unvbox\footsofar
\@ifvoid\footins{}{%
\marry@baselines
\unvbox\footins
}%
\egroup
\ltxgrid@foot@info@sw{\trace@box\footins}{}%
}%
}%
\def\output@post@document{}%
\let\@opcol\@undefined
\def\@makecolumn#1{%
\ltxgrid@foot@info@sw{\class@info{\string\@makecolumn\string#1}}{}%
\setbox\@outputbox\vbox\bgroup
\boxmaxdepth\@maxdepth
\@tempdima\dp\@cclv
\unvbox\@cclv
\vskip-\@tempdima
\egroup
\xdef\@freelist{\@freelist\@midlist}\global\let\@midlist\@empty
\show@text@box@size
\@combinefloats
#1{%
\@combineinserts\@outputbox\footins
}{%
\combine@foot@inserts\footsofar\footins
}%
\set@adj@colht\dimen@
\count@\vbadness
\vbadness\@M
\setbox\@outputbox\vbox to\dimen@\bgroup
\@texttop
\dimen@\dp\@outputbox
\unvbox\@outputbox
\vskip-\dimen@
\@textbottom
\egroup
\vbadness\count@
\global\maxdepth\@maxdepth
}%
\let\@makespecialcolbox\@undefined
\def\@combineinserts#1#2{%
\ltxgrid@foot@info@sw{\class@info{\string\@combineinserts\string#1\string#2}\trace@box#2}{}%
\setbox#1\vbox\bgroup
\unvbox#1%
\@ifvoid{#2}{}{%
\dimen@\ht#2\advance\dimen@\dp#2\advance\dimen@\skip#2%
\show@box@size{Combining inserts}#2%
\vskip\skip#2%
\setbox\z@\vbox{\footnoterule}\dimen@i\ht\z@
\color@begingroup
\normalcolor
\cleaders\box\z@\vskip\dimen@i\kern-\dimen@i
\csname combine@insert@\the\pagegrid@col\endcsname#2%
\color@endgroup
\kern-\dimen@\kern\dimen@
}%
\egroup
\ltxgrid@foot@info@sw{\trace@box#1}{}%
}%
\def\combine@insert@tw@#1{%
\compose@footnotes@two#1\@ifvbox{#1}{\unvbox}{\box}#1%
}%
\def\combine@insert@@ne#1{%
\compose@footnotes@one#1\@ifvbox{#1}{\unvbox}{\box}#1%
}%
\def\twocolumn@grid@setup{%
\expandafter\let\csname combine@insert@1\endcsname\combine@insert@tw@
\expandafter\let\csname combine@insert@2\endcsname\combine@insert@@ne
}%
\def\onecolumn@grid@setup{%
\expandafter\let\csname combine@insert@1\endcsname\combine@insert@@ne
\expandafter\let\csname combine@insert@2\endcsname\combine@insert@@ne
}%
\let\columngrid@setup\onecolumn@grid@setup
\columngrid@setup
\appdef\@floatplacement{%
\global\@fpmin\@fpmin
}%
\mathchardef\pagebreak@pen=\@M
\expandafter\let\csname output@-\the\pagebreak@pen\endcsname\relax
\mathchardef\do@startcolumn@pen=10005
\@namedef{output@-\the\do@startcolumn@pen}{\do@startcolumn}%
\def\do@startcolumn{%
\setbox\@cclv\vbox{\unvbox\@cclv\remove@lastbox\unskip}%
\clearpage@sw{\@clearfloatplacement}{\@floatplacement}%
\set@colht
\@booleanfalse\pfloat@avail@sw
\begingroup
\@colht\@colroom
\@booleanfalse\float@avail@sw
\@tryfcolumn\test@colfloat
\float@avail@sw{\aftergroup\@booleantrue\aftergroup\pfloat@avail@sw}{}%
\endgroup
\fcolmade@sw{%
\setbox\@cclv\vbox{\unvbox\@outputbox\unvbox\@cclv}%
\outputpenalty-\pagebreak@pen
\dead@cycle
}{%
\begingroup
\let\@elt\@scolelt
\let\reserved@b\@deferlist\global\let\@deferlist\@empty\reserved@b
\endgroup
\clearpage@sw{%
\outputpenalty\@M
}{%
\outputpenalty\do@newpage@pen
}%
\dead@cycle
}%
\check@deferlist@stuck\do@startcolumn
\set@vsize
}%
\def\@scolelt#1{\def\@currbox{#1}\@addtonextcol}%
\def\test@colfloat#1{%
\csname @floatselect@sw@\thepagegrid\endcsname#1{}{\@testtrue}%
\@if@sw\if@test\fi{}{\aftergroup\@booleantrue\aftergroup\float@avail@sw}%
}%
\def\@addtonextcol{%
\begingroup
\@insertfalse
\@setfloattypecounts
\csname @floatselect@sw@\thepagegrid\endcsname\@currbox{%
\@ifnum{\@fpstype=8 }{}{%
\@ifnum{\@fpstype=24 }{}{%
\@flsettextmin
\@reqcolroom \ht\@currbox
\advance \@reqcolroom \@textmin
\advance \@reqcolroom \vsize % take into account split insertions
\advance \@reqcolroom -\pagegoal
\@ifdim{\@colroom>\@reqcolroom}{%
\@flsetnum \@colnum
\@ifnum{\@colnum>\z@}{%
\@bitor\@currtype\@deferlist
\@if@sw\if@test\fi{}{%
\@addtotoporbot
}%
}{}%
}{}%
}%
}%
}{}%
\@if@sw\if@insert\fi{}{%
\@cons\@deferlist\@currbox
}%
\endgroup
}%
\mathchardef\do@startpage@pen=10006
\@namedef{output@-\the\do@startpage@pen}{\do@startpage}%
\def\do@startpage{%
\setbox\@cclv\vbox{\unvbox\@cclv\remove@lastbox\unskip}%
\clearpage@sw{\@clearfloatplacement}{\@dblfloatplacement}%
\set@colht
\@booleanfalse\pfloat@avail@sw
\begingroup
\@booleanfalse\float@avail@sw
\@tryfcolumn\test@dblfloat
\float@avail@sw{\aftergroup\@booleantrue\aftergroup\pfloat@avail@sw}{}%
\endgroup
\fcolmade@sw{%
\global\setbox\pagesofar\vbox{\unvbox\pagesofar\unvbox\@outputbox}%
\@output@combined@page
}{%
\begingroup
\@booleanfalse\float@avail@sw
\let\@elt\@sdblcolelt
\let\reserved@b\@deferlist\global\let\@deferlist\@empty\reserved@b
\endgroup
\@ifdim{\@colht=\textheight}{% No luck...
\pfloat@avail@sw{% ...but a float *was* available!
\forcefloats@sw{%
\ltxgrid@warn{Forced dequeueing of floats stalled}%
}{%
\ltxgrid@warn{Dequeueing of floats stalled}%
}%
}{}%
}{}%
\outputpenalty\@M
\dead@cycle
}%
\check@deferlist@stuck\do@startpage
\set@colht
}%
\def\@output@combined@page{%
\@combinepage\true@sw
\@combinedblfloats
\@outputpage
\global\pagegrid@cur\@ne
\protect@penalty\do@startpage@pen
}%
\def\@sdblcolelt#1{\def\@currbox{#1}\@addtodblcol}%
\def\test@dblfloat#1{%
\@if@notdblfloat{#1}{\@testtrue}{}%
\@if@sw\if@test\fi{}{\aftergroup\@booleantrue\aftergroup\float@avail@sw}%
}%
\def\@if@notdblfloat#1{\@ifdim{\wd#1<\textwidth}}%
\@booleanfalse\forcefloats@sw
\def\@addtodblcol{%
\begingroup
\@if@notdblfloat{\@currbox}{%
\false@sw
}{%
\@setfloattypecounts
\@getfpsbit \tw@
\@bitor \@currtype \@deferlist
\@if@sw\if@test\fi{%
\false@sw
}{%
\@ifodd\@tempcnta{%
\aftergroup\@booleantrue\aftergroup\float@avail@sw
\@flsetnum \@dbltopnum
\@ifnum{\@dbltopnum>\z@}{%
\@ifdim{\@dbltoproom>\ht\@currbox}{%
\true@sw
}{%
\@ifnum{\@fpstype<\sixt@@n}{%
\begingroup
\advance \@dbltoproom \@textmin
\@ifdim{\@dbltoproom>\ht\@currbox}{%
\endgroup\true@sw
}{%
\endgroup\false@sw
}%
}{%
\false@sw
}%
}%
}{%
\false@sw
}%
}{%
\false@sw
}%
}%
}%
{%
\@tempdima -\ht\@currbox
\advance\@tempdima
-\@ifx{\@dbltoplist\@empty}{\dbltextfloatsep}{\dblfloatsep}%
\global \advance \@dbltoproom \@tempdima
\global \advance \@colht \@tempdima
\global \advance \@dbltopnum \m@ne
\@cons \@dbltoplist \@currbox
}{%
\@cons \@deferlist \@currbox
}%
\endgroup
}%
\def\@tryfcolumn#1{%
\global\@booleanfalse\fcolmade@sw
\@ifx@empty\@deferlist{}{%
\global\let\@trylist\@deferlist
\global\let\@failedlist\@empty
\begingroup
\dimen@\vsize\advance\dimen@-\pagegoal\@ifdim{\dimen@>\z@}{%
\advance\@fpmin-\dimen@
}{}%
\def\@elt{\@xtryfc#1}\@trylist
\endgroup
\fcolmade@sw{%
\global\setbox\@outputbox\vbox{\vskip \@fptop}%
\let \@elt \@wtryfc \@flsucceed
\global\setbox\@outputbox\vbox{\unvbox\@outputbox
\unskip \vskip \@fpbot
}%
\let \@elt \relax
\xdef\@deferlist{\@failedlist\@flfail}%
\xdef\@freelist{\@freelist\@flsucceed}%
}{}%
}%
}%
\def\@wtryfc #1{%
\global\setbox\@outputbox\vbox{\unvbox\@outputbox
\box #1\vskip\@fpsep
}%
}%
\def\@xtryfc#1#2{%
\@next\reserved@a\@trylist{}{}% trim \@trylist. Ugly!
\@currtype \count #2%
\divide\@currtype\@xxxii\multiply\@currtype\@xxxii
\@bitor \@currtype \@failedlist
\@testfp #2%
#1#2%
\@ifdim{\ht #2>\@colht }{\@testtrue}{}%
\@if@sw\if@test\fi{%
\@cons\@failedlist #2%
}{%
\begingroup
\gdef\@flsucceed{\@elt #2}%
\global\let\@flfail\@empty
\@tempdima\ht #2%
\def \@elt {\@ztryfc#1}\@trylist
\@ifdim{\@tempdima >\@fpmin}{%
\global\@booleantrue\fcolmade@sw
}{%
\@cons\@failedlist #2%
}%
\endgroup
\fcolmade@sw{%
\let \@elt \@gobble
}{}%
}%
}%
\def\@ztryfc #1#2{%
\@tempcnta \count#2%
\divide\@tempcnta\@xxxii\multiply\@tempcnta\@xxxii
\@bitor \@tempcnta {\@failedlist \@flfail}%
\@testfp #2%
#1#2%
\@tempdimb\@tempdima
\advance\@tempdimb \ht#2\advance\@tempdimb\@fpsep
\@ifdim{\@tempdimb >\@colht}{%
\@testtrue
}{}%
\@if@sw\if@test\fi{%
\@cons\@flfail #2%
}{%
\@cons\@flsucceed #2%
\@tempdima\@tempdimb
}%
}%
\def\newpage@prep{%
\if@noskipsec
\ifx \@nodocument\relax
\leavevmode
\global \@noskipsecfalse
\fi
\fi
\if@inlabel
\leavevmode
\global \@inlabelfalse
\fi
\if@nobreak \@nobreakfalse \everypar{}\fi
\par
}%
\def \newpage {%
\newpage@prep
\do@output@MVL{%
\vfil
\penalty-\pagebreak@pen
}%
}%
\def\clearpage{%
\newpage@prep
\do@output@MVL{%
\vfil
\penalty-\pagebreak@pen
\global\@booleantrue\clearpage@sw
\protect@penalty\do@startcolumn@pen
\protect@penalty\do@endpage@pen
}%
\do@output@MVL{%
\global\@booleanfalse\clearpage@sw
}%
}%
\def\cleardoublepage{%
\clearpage
\@if@sw\if@twoside\fi{%
\@ifodd\c@page{}{%
\null\clearpage
}%
}{}%
}%
\@booleanfalse\clearpage@sw
\mathchardef\do@endpage@pen=10007
\@namedef{output@-\the\do@endpage@pen}{\csname end@column@\thepagegrid\endcsname}%
\mathchardef\do@newpage@pen=10001
\expandafter\let\csname output@-\the\do@newpage@pen\endcsname\relax
\def\@clearfloatplacement{%
\global\@topnum \maxdimen
\global\@toproom \maxdimen
\global\@botnum \maxdimen
\global\@botroom \maxdimen
\global\@colnum \maxdimen
\global\@dbltopnum \maxdimen
\global\@dbltoproom \maxdimen
\global\@textmin \z@
\global\@fpmin \z@
\let\@testfp\@gobble
\appdef\@setfloattypecounts{\@fpstype16\advance\@fpstype\m@ne}%
}%
\let\@doclearpage\@undefined
\let\@makefcolumn\@undefined
\let\@makecol\@undefined
\def\clr@top@firstmark{%
\global\let\saved@@topmark\@undefined
\global\let\saved@@firstmark\@empty
\global\let\saved@@botmark\@empty
}%
\clr@top@firstmark
\def\set@top@firstmark{%
\@ifxundefined\saved@@topmark{\expandafter\gdef\expandafter\saved@@topmark\expandafter{\@@topmark}}{}%
\@if@empty\saved@@firstmark{\expandafter\gdef\expandafter\saved@@firstmark\expandafter{\@@firstmark}}{}%
\@if@empty\@@botmark{}{\expandafter\gdef\expandafter\saved@@botmark\expandafter{\@@botmark}}%
}%
\appdef\@outputpage@tail{%
\clr@top@firstmark
}%
\def\@float#1{%
\@ifnextchar[{%
\@yfloat\width@float{#1}%
}{%
\@ifxundefined@cs{fps@#1}{}{\expandafter\let\expandafter\fps@\csname fps@#1\endcsname}%
\expandafter\@argswap\expandafter{\expandafter[\fps@]}{\@yfloat\width@float{#1}}%
}%
}%
\def\@dblfloat#1{%
\@ifnum{\pagegrid@col=\@ne}{%
\@float{#1}%
}{%
\@ifnextchar[{%
\@yfloat\widthd@float{#1}%
}{%
\@ifxundefined@cs{fpsd@#1}{}{\expandafter\let\expandafter\fpsd@\csname fpsd@#1\endcsname}%
\expandafter\@argswap\expandafter{\expandafter[\fpsd@]}{\@yfloat\widthd@float{#1}}%
}%
}%
}%
\def\@yfloat#1#2[#3]{%
\@xfloat{#2}[#3]%
\hsize#1\linewidth\hsize
\let\set@footnotewidth\@empty
\minipagefootnote@init
}%
\def\fps@{tbp}%
\def\fpsd@{tp}%
\def\width@float{\columnwidth}%
\def\widthd@float{\textwidth}%
\def\end@float{%
\end@@float{%
\check@currbox@count
}%
}%
\def\end@dblfloat{%
\@ifnum{\pagegrid@col=\@ne}{%
\end@float
}{%
\end@@float{%
\@iffpsbit\@ne{\global\advance\count\@currbox\m@ne}{}%
\@iffpsbit\f@ur{\global\advance\count\@currbox-4\relax}{}%
\global\wd\@currbox\textwidth % Klootch
\check@currbox@count
}%
}%
}%
\def\end@@float#1{%
\minipagefootnote@here
\@endfloatbox
#1%
\@ifnum{\@floatpenalty <\z@}{%
\@largefloatcheck
\@cons\@currlist\@currbox
\@ifnum{\@floatpenalty <-\@Mii}{%
\do@output@cclv{\@add@float}%
}{%
\vadjust{\do@output@cclv{\@add@float}}%
\@Esphack
}%
}{}%
}%
\newcommand\float@end@float{%
\@endfloatbox
\global\setbox\@currbox\float@makebox\columnwidth
\let\@endfloatbox\relax
\end@float
}%
\newcommand\float@end@ltx{%
\end@@float{%
\global\setbox\@currbox\float@makebox\columnwidth
\check@currbox@count
}%
}%
\newcommand\newfloat@float[3]{%
\@namedef{ext@#1}{#3} %!
\let\float@do=\relax
\xdef\@tempa{\noexpand\float@exts{\the\float@exts \float@do{#3}}}%
\@tempa
\floatplacement{#1}{#2}%
\@ifundefined{fname@#1}{\floatname{#1}{#1}}{} %!
\expandafter\edef\csname ftype@#1\endcsname{\value{float@type}}%
\addtocounter{float@type}{\value{float@type}} %!
\restylefloat{#1}%
\expandafter\edef\csname fnum@#1\endcsname{%
\expandafter\noexpand\csname fname@#1\endcsname{} %!
\expandafter\noexpand\csname the#1\endcsname
}
\@ifnextchar[%]
{%
\float@newx{#1}%
}{%
\@ifundefined{c@#1}{\newcounter{#1}\@namedef{the#1}{\arabic{#1}}}{}%
}%
}%
\newcommand\newfloat@ltx[3]{%
\@namedef{ext@#1}{#3}%
\let\float@do=\relax
\xdef\@tempa{\noexpand\float@exts{\the\float@exts \float@do{#3}}}%
\@tempa
\floatplacement{#1}{#2}%
\@ifundefined{fname@#1}{\floatname{#1}{#1}}{}%
\expandafter\edef\csname ftype@#1\expandafter\endcsname\expandafter{\the\c@float@type}%
\addtocounter{float@type}{\value{float@type}}%
\restylefloat{#1}%
\expandafter\edef\csname fnum@#1\endcsname{%
\expandafter\noexpand\csname fname@#1\endcsname{}%
\expandafter\noexpand\csname the#1\endcsname
}
\@ifnextchar[%]
{%
\float@newx{#1}%
}{%
\@ifundefined{c@#1}{\newcounter{#1}\@namedef{the#1}{\arabic{#1}}}{}%
}%
}%
\appdef\document@inithook{%
\@ifxundefined\newfloat{}{%
\@ifx{\float@end\float@end@float}{%
\@ifx{\newfloat\newfloat@float}{\true@sw}{\false@sw}%
}{\false@sw}%
{%
\class@warn{Repair the float package}%
\let\float@end\float@end@ltx
\let\newfloat\newfloat@ltx
}{%
\class@warn{Failed to patch the float package}%
}%
}%
}%
\def\@iffpsbit#1{%
\begingroup
\@tempcnta\count\@currbox
\divide\@tempcnta#1\relax
\@ifodd\@tempcnta{\aftergroup\true@sw}{\aftergroup\false@sw}%
\endgroup
}%
\def\check@currbox@count{%
\@ifnum{\count\@currbox>\z@}{%
\count@\count\@currbox\divide\count@\sixt@@n\multiply\count@\sixt@@n
\@tempcnta\count\@currbox\advance\@tempcnta-\count@
\@ifnum{\@tempcnta=\z@}{%
\ltxgrid@warn{Float cannot be placed}%
}{}%
\expandafter\tally@float\expandafter{\@captype}%
}{%
}%
}%
\providecommand\minipagefootnote@init{}%
\providecommand\minipagefootnote@here{}%
\providecommand\tally@float[1]{}%
\let\@specialoutput\@undefined
\def\@add@float{%
\@pageht\ht\@cclv\@pagedp\dp\@cclv
\unvbox\@cclv
\@next\@currbox\@currlist{%
\csname @floatselect@sw@\thepagegrid\endcsname\@currbox{%
\@ifnum{\count\@currbox>\z@}{%
\advance \@pageht \@pagedp
\advance \@pageht \vsize \advance \@pageht -\pagegoal
\@addtocurcol
}{%
\@addmarginpar
}%
}{%
\@resethfps
\@cons\@deferlist\@currbox
}%
}{\@latexbug}%
\@ifnum{\outputpenalty<\z@}{%
\@if@sw\if@nobreak\fi{%
\nobreak
}{%
\addpenalty \interlinepenalty
}%
}{}%
\set@vsize
}%
\let\@reinserts\@undefined
\def \@addtocurcol {%
\@insertfalse
\@setfloattypecounts
\ifnum \@fpstype=8
\else
\ifnum \@fpstype=24
\else
\@flsettextmin
\advance \@textmin \@textfloatsheight
\@reqcolroom \@pageht
\ifdim \@textmin>\@reqcolroom
\@reqcolroom \@textmin
\fi
\advance \@reqcolroom \ht\@currbox
\ifdim \@colroom>\@reqcolroom
\@flsetnum \@colnum
\ifnum \@colnum>\z@
\@bitor\@currtype\@deferlist
\if@test
\else
\@bitor\@currtype\@botlist
\if@test
\@addtobot
\else
\ifodd \count\@currbox
\advance \@reqcolroom \intextsep
\ifdim \@colroom>\@reqcolroom
\global \advance \@colnum \m@ne
\global \advance \@textfloatsheight \ht\@currbox
\global \advance \@textfloatsheight 2\intextsep
\@cons \@midlist \@currbox
\if@nobreak
\nobreak
\@nobreakfalse
\everypar{}%
\else
\addpenalty \interlinepenalty
\fi
\vskip \intextsep
\unvbox\@currbox %AO
\penalty\interlinepenalty
\vskip\intextsep
\ifnum\outputpenalty <-\@Mii \vskip -\parskip\fi
\outputpenalty \z@
\@inserttrue
\fi
\fi
\if@insert
\else
\@addtotoporbot
\fi
\fi
\fi
\fi
\fi
\fi
\fi
\if@insert
\else
\@resethfps
\@cons\@deferlist\@currbox
\fi
}%
\@twocolumnfalse
\let\@twocolumntrue\@twocolumnfalse
\def\@addmarginpar{%
\@next\@marbox\@currlist{%
\@cons\@freelist\@marbox\@cons\@freelist\@currbox
}\@latexbug
\setbox\@marbox\hb@xt@\columnwidth{%
\csname @addmarginpar@\thepagegrid\endcsname{%
\hskip-\marginparsep\hskip-\marginparwidth
\box\@currbox
}{%
\hskip\columnwidth\hskip\marginparsep
\box\@marbox
}%
\hss
}%
\setbox\z@\box\@currbox
\@tempdima\@mparbottom
\advance\@tempdima -\@pageht
\advance\@tempdima\ht\@marbox
\@ifdim{\@tempdima >\z@}{%
\@latex@warning@no@line {Marginpar on page \thepage\space moved}%
}{%
\@tempdima\z@
}%
\global\@mparbottom\@pageht
\global\advance\@mparbottom\@tempdima
\global\advance\@mparbottom\dp\@marbox
\global\advance\@mparbottom\marginparpush
\advance\@tempdima -\ht\@marbox
\global\setbox \@marbox
\vbox {\vskip \@tempdima
\box \@marbox}%
\global \ht\@marbox \z@
\global \dp\@marbox \z@
\kern -\@pagedp
\nointerlineskip
\box\@marbox
\nointerlineskip
\hbox{\vrule \@height\z@ \@width\z@ \@depth\@pagedp}%
}%
\newenvironment{turnpage}{%
\def\width@float{\textheight}%
\def\widthd@float{\textheight}%
\appdef\@endfloatbox{%
\@ifxundefined\@currbox{%
\ltxgrid@warn{Cannot rotate! Not a float}%
}{%
\setbox\@currbox\vbox to\textwidth{\vfil\unvbox\@currbox\vfil}%
\global\setbox\@currbox\vbox{\rotatebox{90}{\box\@currbox}}%
}%
}%
}{%
}%
\def\rotatebox@dummy#1#2{%
\ltxgrid@warn{You must load the graphics or graphicx package in order to use the turnpage environment}%
#2%
}%
\appdef\document@inithook{%
\@ifxundefined\rotatebox{\let\rotatebox\rotatebox@dummy}{}%
}%
\@namedef{output@-1073741824}{%
\deadcycles\z@
\void@cclv
}%
\mathchardef\save@column@pen=10016
\@namedef{output@-\the\save@column@pen}{\save@column}%
\let \@cclv@saved \@holdpg
\let \@holdpg \@undefined
\def\save@column{%
\@ifvoid\@cclv@saved{%
\set@top@firstmark
\global\@topmark@saved\expandafter{\@@topmark}%
}{}%
\global\setbox\@cclv@saved\vbox{%
\@ifvoid\@cclv@saved{}{%
\unvbox\@cclv@saved
\marry@baselines
}%
\unvbox\@cclv
\lose@breaks
\remove@lastbox
}%
}%
\newtoks\@topmark@saved
\def\prep@cclv{%
\void@cclv
\setbox\@cclv\box\@cclv@saved
\vbadness\@M
}%
\mathchardef\save@column@insert@pen=10017
\@namedef{output@-\the\save@column@insert@pen}{\toggle@insert{\savecolumn@holding}{\savecolumn@moving}}%
\def\savecolumn@holding{%
\@if@exceed@pagegoal{\unvcopy\@cclv\remove@lastbox}{%
\setbox\z@\vbox{\unvcopy\@cclv\remove@lastbox}%
\outputdebug@sw{\trace@box\z@}{}%
\dimen@\ht\@cclv\advance\dimen@-\ht\z@
\dead@cycle@repair@protected\dimen@
}{%
\dead@cycle
}%
}%
\def\savecolumn@moving{%
\ltxgrid@info@sw{\class@info{\string\savecolumn@moving}}{}%
\@cclv@nontrivial@sw{%
\save@column
}{%
\void@cclv
}%
\@ifvoid\footins{}{%
\ltxgrid@foot@info@sw{\class@info{\string\savecolumn@moving}\trace@scroll{\showbox\footins@saved\showbox\footins}}{}%
\@ifvoid\footins@saved{%
\global\setbox\footins@saved\box\footins
}{%
\global\setbox\footins@saved\vbox\bgroup
\unvbox\footins@saved
\marry@baselines
\unvbox\footins
\egroup
}%
\ltxgrid@foot@info@sw{\trace@box\footins@saved}{}%
\protect@penalty\save@column@insert@pen
}%
}%
\newbox\footins@saved
\newbox\footins@recovered
\newbox\column@recovered
\mathchardef\save@message@pen=10018
\@namedef{output@-\the\save@message@pen}{\save@message}%
\def\save@message{%
\void@cclv
\toks@\expandafter{\@@firstmark}%
\expandafter\gdef\expandafter\@message@saved\expandafter{\the\toks@}%
\expandafter\do@@mark\expandafter{\the\@topmark@saved}%
}%
\gdef\@message@saved{}%
\mathchardef\execute@message@pen=10019
\@namedef{output@-\the\execute@message@pen}{\@message@saved}%
\def\execute@message{%
\@execute@message\save@column@pen
}%
\def\execute@message@insert#1{%
\@execute@message\save@column@insert@pen{%
\setbox \footins \box \footins@saved
\ltxgrid@foot@info@sw{\class@info{\string\execute@message@insert}\trace@box\footins}{}%
#1%
}%
}%
\long\def\@execute@message#1#2{%
\begingroup
\dimen@\prevdepth\@ifdim{\dimen@<\z@}{\dimen@\z@}{}%
\setbox\z@\vbox{%
\protect@penalty#1%
\protection@box
\toks@{\prep@cclv#2}%
\@@mark{\the\toks@}%
\penalty-\save@message@pen
\setbox\z@\null\dp\z@\dimen@\ht\z@-\dimen@
\nointerlineskip\box\z@
\penalty-\execute@message@pen
}\unvbox\z@
\endgroup
}%
\def\do@output@cclv{\execute@message}%
\def\do@output@MVL#1{%
\@ifvmode{%
\begingroup\execute@message{\unvbox\@cclv#1}\endgroup
}{%
\@ifhmode{%
\vadjust{\execute@message{\unvbox\@cclv#1}}%
}{%
\@latexerr{\string\do@output@MVL\space cannot be executed in this mode!}\@eha
}%
}%
}%
\def\lose@breaks{%
\loopwhile{%
\count@\lastpenalty
\@ifnum{\count@=\@M}{%
\unpenalty\true@sw
}{%
\false@sw
}%
}%
}%
\def\removestuff{\do@output@MVL{\unskip\unpenalty}}%
\def\removephantombox{%
\vadjust{%
\execute@message{%
\unvbox\@cclv
\remove@lastbox
\unskip
\unskip
\unpenalty
\penalty\predisplaypenalty
\vskip\abovedisplayskip
}%
}%
}%
\def\addstuff#1#2{\edef\@tempa{\noexpand\do@output@MVL{\noexpand\@addstuff{#1}{#2}}}\@tempa}%
\def\@addstuff#1#2{%
\skip@\lastskip\unskip
\count@\lastpenalty\unpenalty
\@if@empty{#1}{}{\penalty#1\relax}%
\@ifnum{\count@=\z@}{}{\penalty\count@}%
\vskip\skip@
\@if@empty{#2}{}{\vskip#2\relax}%
}%
\def\replacestuff#1#2{\edef\@tempa{\noexpand\do@output@MVL{\noexpand\@replacestuff{#1}{#2}}}\@tempa}%
\def\@replacestuff#1#2{%
\skip@\lastskip\unskip
\count@\lastpenalty\unpenalty
\@if@empty{#1}{}{%
\@ifnum{\count@>\@M}{}{%
\@ifnum{\count@=\z@}{\count@=#1\relax}{%
\@ifnum{\count@<#1\relax}{}{%
\count@=#1\relax
}%
}%
}%
}%
\@ifnum{\count@=\z@}{}{\penalty\count@}%
\@if@empty{#2}{}{%
\@tempskipa#2\relax
\@ifdim{\z@>\@tempskipa}{%
\advance\skip@-\@tempskipa
}{%
\@ifdim{\skip@>\@tempskipa}{}{%
\skip@\@tempskipa
}%
}%
}%
\vskip\skip@
}%
\def\move@insertions{\global\holdinginserts\z@}%
\def\hold@insertions{\global\holdinginserts\@ne}%
\hold@insertions
\def\toggle@insert#1#2{%
\@ifnum{\holdinginserts>\z@}{\move@insertions#1}{\hold@insertions#2}%
}%
\def\do@columngrid#1#2{%
\par
\expandafter\let\expandafter\@tempa\csname open@column@#1\endcsname
\@ifx{\relax\@tempa}{%
\ltxgrid@warn{Unknown page grid #1. No action taken}%
}{%
\do@output@MVL{\start@column{#1}{#2}}%
}%
}%
\def\start@column#1#2{%
\def\@tempa{#1}\@ifx{\@tempa\thepagegrid}{%
\ltxgrid@info{Already in page grid \thepagegrid. No action taken}%
}{%
\expandafter\execute@message@insert
\expandafter{%
\csname shut@column@\thepagegrid\expandafter\endcsname
\csname open@column@#1\endcsname{#2}%
\set@vsize
}%
}%
}%
\def\thepagegrid{one}%
\newbox\pagesofar
\newbox\footsofar
\def\combine@foot@inserts#1#2{%
\ltxgrid@info@sw{\class@info{\string\combine@foot@inserts\string#1\string#2}}{}%
\@ifvoid#1{%
\ltxgrid@foot@info@sw{\trace@box#2}{}\global\setbox#1\box#2%
}{%
\global\setbox#1\vbox\bgroup
\ltxgrid@foot@info@sw{\trace@box#1}{}\unvbox#1%
\@ifvoid#2{}{%
\marry@baselines
\ltxgrid@foot@info@sw{\trace@box#2}{}\unvbox#2%
}%
\egroup
}%
\ltxgrid@foot@info@sw{\trace@scroll{\showbox#1\showbox#2}}{}%
}%
\newcommand\onecolumngrid{\do@columngrid{one}{\@ne}}%
\let\onecolumn\@undefined
\def\open@column@one#1{%
\ltxgrid@info@sw{\class@info{\string\open@column@one\string#1}}{}%
\unvbox\pagesofar
\@ifvoid{\footsofar}{}{%
\insert\footins\bgroup\unvbox\footsofar\egroup
\penalty\z@
}%
\gdef\thepagegrid{one}%
\global\pagegrid@col#1%
\global\pagegrid@cur\@ne
\global\count\footins\@m
\global\divide\count\footins\tw@
\set@column@hsize\pagegrid@col
\set@colht
}%
\def\shut@column@one{%
\ltxgrid@info@sw{\class@info{\string\shut@column@one}}{}%
\@makecolumn\false@sw
\global\setbox\pagesofar\vbox\bgroup
\recover@column\@outputbox\footsofar\column@recovered\footins@recovered
\egroup
\begingroup\setbox\z@\box\@outputbox\endgroup
\combine@foot@inserts\footsofar\footins
\set@colht
}%
\def\float@column@one{%
\@makecolumn\true@sw
\@outputpage
}%
\def\end@column@one{%
\unvbox\@cclv\remove@lastbox
\protect@penalty\do@newpage@pen
}%
\def\output@column@one{%
\@outputpage
}%
\def\@addmarginpar@one{%
\@if@sw\if@mparswitch\fi{%
\@ifodd\c@page{\false@sw}{\true@sw}%
}{\false@sw}{%
\@if@sw\if@reversemargin\fi{\false@sw}{\true@sw}%
}{%
\@if@sw\if@reversemargin\fi{\true@sw}{\false@sw}%
}%
}%
\def\@floatselect@sw@one#1{\true@sw}%
\def\onecolumngrid@push{%
\do@output@MVL{%
\@ifnum{\pagegrid@col=\@ne}{%
\global\let\restorecolumngrid\@empty
}{%
\xdef\restorecolumngrid{%
\noexpand\start@column{\thepagegrid}{\the\pagegrid@col}%
}%
\start@column{one}{\@ne}%
}%
}%
}%
\def\onecolumngrid@pop{%
\do@output@MVL{\restorecolumngrid}%
}%
\newcommand\twocolumngrid{\do@columngrid{mlt}{\tw@}}%
\let\twocolumn\@undefined
\let\@topnewpage\@undefined
\def\open@column@mlt#1{%
\ltxgrid@info@sw{\class@info{\string\open@column@mlt\string#1}}{}%
\@ifvoid{\footsofar}{}{%
\insert\footins\bgroup\unvbox\footsofar\egroup
}%
\gdef\thepagegrid{mlt}%
\global\pagegrid@col#1%
\global\pagegrid@cur\@ne
\global\count\footins\@m
\set@column@hsize\pagegrid@col
\set@colht
}%
\def\shut@column@mlt{%
\ltxgrid@info@sw{\class@info{\string\shut@column@mlt}}{}%
\@cclv@nontrivial@sw{%
\@makecolumn\false@sw
\@ifnum{\pagegrid@cur<\pagegrid@col}{%
\expandafter\global\expandafter\setbox\csname col@\the\pagegrid@cur\endcsname\box\@outputbox
\global\advance\pagegrid@cur\@ne
}{}%
}{%
\void@cclv
}%
\@ifnum{\pagegrid@cur>\@ne}{%
\csname balance@\the\pagegrid@col\endcsname
\grid@column\@outputbox{}%
\@combinepage\false@sw
\@combinedblfloats
\global\setbox\pagesofar\box\@outputbox
\show@pagesofar@size
}{}%
\set@colht
}%
\def\float@column@mlt{%
\@output@combined@page
}%
\def\end@column@mlt{%
\@ifx@empty\@toplist{%
\@ifx@empty\@botlist{%
\@ifx@empty\@dbltoplist{%
\@ifx@empty\@deferlist{%
\@ifnum{\pagegrid@cur=\@ne}{%
\false@sw
}{%
\true@sw
}%
}{%
\true@sw
}%
}{%
\true@sw
}%
}{%
\true@sw
}%
}{%
\true@sw
}%
% true = kick out a column and try again
{%
\@cclv@nontrivial@sw{%
\unvbox\@cclv\remove@lastbox
}{%
\unvbox\@cclv\remove@lastbox\unskip\null
}%
\protect@penalty\do@newpage@pen
\protect@penalty\do@endpage@pen
}{%
\unvbox\@cclv\remove@lastbox
}%
}%
\def\output@column@mlt{%
\@ifnum{\pagegrid@cur<\pagegrid@col}{%
\expandafter\global\expandafter\setbox\csname col@\the\pagegrid@cur\endcsname\box\@outputbox
\global\advance\pagegrid@cur\@ne
}{%
\set@adj@colht\dimen@
\grid@column\@outputbox{}%
\@output@combined@page
}%
}%
\let\@outputdblcol\@undefined
\def\@floatselect@sw@mlt#1{\@if@notdblfloat{#1}}%
\def\@addmarginpar@mlt{% emits a boolean
\@ifnum{\pagegrid@cur=\@ne}%
}%
\def\set@footnotewidth@one{%
\hsize\columnwidth
\linewidth\hsize
}%
\def\set@footnotewidth@two{\set@footnotewidth@mlt\tw@}%
\def\set@footnotewidth@mlt#1{%
\hsize\textwidth
\advance\hsize\columnsep
\divide\hsize#1%
\advance\hsize-\columnsep
\linewidth\hsize
}%
\def\compose@footnotes@one#1{%
\ltxgrid@foot@info@sw{\class@info{\string\compose@footnotes@one\string#1}\trace@box#1}{}%
}%
\let\compose@footnotes\compose@footnotes@one
\def\compose@footnotes@two#1{%
\ltxgrid@foot@info@sw{\class@info{\string\compose@footnotes@two\string#1}\trace@box#1}{}%
\setbox\z@\box\@tempboxa
\let\recover@column\recover@column@null
\let\marry@baselines\@empty
\balance@two#1\@tempboxa
\global\setbox#1\hbox to\textwidth{\box#1\hfil\box\@tempboxa}%
\ltxgrid@foot@info@sw{\trace@box#1}{}%
}%
\let\pagegrid@cur\col@number
\let\col@number\@undefined
\newcount\pagegrid@col
\pagegrid@cur\@ne
\expandafter\let\csname col@\the\pagegrid@cur\endcsname\@leftcolumn
\let\@leftcolumn\@undefined
\pagegrid@col\tw@
\def\pagegrid@init{%
\advance\pagegrid@cur\@ne
\@ifnum{\pagegrid@cur<\pagegrid@col}{%
\csname newbox\expandafter\endcsname\csname col@\the\pagegrid@cur\endcsname
\pagegrid@init
}{%
}%
}%
\appdef\class@documenthook{%
\pagegrid@init
}%
\def\grid@column#1#2{%
\ltxgrid@info@sw{\class@info{\string\grid@column\string#1}}{}%
\global\setbox#1\vbox\bgroup
\hb@xt@\textwidth\bgroup
\vrule\@height\z@\@width\z@\@if@empty{#2}{}{\@depth#2}%
\pagegrid@cur\@ne
\@ifnum{\pagegrid@cur<\pagegrid@col}{\loopwhile{\append@column@\pagegrid@cur\pagegrid@col}}{}%
\box@column#1%
\egroup
\vskip\z@skip
\egroup
}%
\def\append@column@#1#2{%
\expandafter\box@column\csname col@\the#1\endcsname
\hfil\vrule\@width\columnseprule\hfil
\advance#1\@ne
\@ifnum{#1<#2}%
}%
\def\box@column#1{%
\ltxgrid@info@sw{\class@info{\string\box@column\string#1}}{}%
\raise\topskip
\hb@xt@\columnwidth\bgroup
\dimen@\ht#1\@ifdim{\dimen@>\@colht}{\dimen@\@colht}{}%
\count@\vbadness\vbadness\@M
\dimen@ii\vfuzz\vfuzz\maxdimen
\ltxgrid@info@sw{\saythe\@colht\saythe\dimen@}{}%
\vtop to\dimen@\bgroup
\hrule\@height\z@
\unvbox#1%
\raggedcolumn@skip
\egroup
\vfuzz\dimen@ii
\vbadness\count@
\hss
\egroup
}%
\def\marry@baselines{%
\begingroup
\setbox\z@\lastbox
\@ifvoid{\z@}{%
\endgroup
}{%
\aftergroup\kern
\aftergroup-%
\expandafter\box\expandafter\z@\expandafter\endgroup\the\dp\z@\relax
}%
\vskip\marry@skip\relax
}%
\gdef\marry@skip{\z@skip}%
\def\set@marry@skip{%
\begingroup
\skip@\baselineskip\advance\skip@-\topskip
\@ifdim{\skip@>\z@}{%
\xdef\marry@skip{\the\skip@}%
}{}%
\endgroup
}%
\appdef\document@inithook{%
\@ifxundefined\raggedcolumn@sw{\@booleanfalse\raggedcolumn@sw}{}%
}%
\def\raggedcolumn@skip{%
\vskip\z@\raggedcolumn@sw{\@plus.0001fil\@minus.0001fil}{}\relax
}%
\def\@combinepage#1{%
\ltxgrid@foot@info@sw{\class@info{\string\@combinepage\string#1}}{}%
\@ifvoid\pagesofar{}{%
\setbox\@outputbox\vbox{%
\unvbox\pagesofar
\marry@baselines
\unvbox\@outputbox
}%
}%
#1{%
\@ifvoid\footsofar{}{%
\show@box@size{Combining page footnotes}\footsofar
\setbox\footins\box\footsofar
\compose@footnotes
\@combineinserts\@outputbox\footins
}%
}{%
}%
}%
\def \@cflt{%
\let \@elt \@comflelt
\setbox\@tempboxa \vbox{}%
\@toplist
\setbox\@outputbox \vbox{%
\boxmaxdepth \maxdepth
\unvbox\@tempboxa\unskip
\topfigrule\vskip \textfloatsep
\unvbox\@outputbox
}%
\let\@elt\relax
\xdef\@freelist{\@freelist\@toplist}%
\global\let\@toplist\@empty
}%
\def \@cflb {%
\let\@elt\@comflelt
\setbox\@tempboxa \vbox{}%
\@botlist
\setbox\@outputbox \vbox{%
\unvbox\@outputbox
\vskip \textfloatsep\botfigrule
\unvbox\@tempboxa\unskip
}%
\let\@elt\relax
\xdef\@freelist{\@freelist\@botlist}%
\global \let \@botlist\@empty
}%
\def\@combinedblfloats{%
\@ifx@empty\@dbltoplist{}{%
\setbox\@tempboxa\vbox{}%
\let\@elt\@comdblflelt\@dbltoplist
\let\@elt\relax\xdef\@freelist{\@freelist\@dbltoplist}%
\global\let\@dbltoplist\@empty
\setbox\@outputbox\vbox{%
%\boxmaxdepth\maxdepth %% probably not needed, CAR
\unvbox\@tempboxa\unskip
\@ifnum{\@dbltopnum>\m@ne}{\dblfigrule}{}%FIXME: how is \@dbltopnum maintained?
\vskip\dbltextfloatsep
\unvbox\@outputbox
}%
}%
}%
\def\set@column@hsize#1{%
\pagegrid@col#1%
\global\columnwidth\textwidth
\global\advance\columnwidth\columnsep
\global\divide\columnwidth\pagegrid@col
\global\advance\columnwidth-\columnsep
\global\hsize\columnwidth
\global\linewidth\columnwidth
\skip@\baselineskip\advance\skip@-\topskip
\@ifnum{\pagegrid@col>\@ne}{\set@marry@skip}{}%
}%
\def\set@colht{%
\set@adj@textheight\@colht
\global\let\enlarge@colroom\@empty
\set@colroom
}%
\def\set@adj@textheight#1{%
\ltxgrid@info@sw{\class@info{\string\set@adj@textheight\string#1}\saythe\textheight}{}%
#1\textheight
\def\@elt{\adj@page#1}%
\@booleantrue\firsttime@sw\@dbltoplist
\let\@elt\relax
\global#1#1\relax
\ltxgrid@info@sw{\saythe#1}{}%
}%
\def\set@colroom{%
\ltxgrid@info@sw{\class@info{\string\set@colroom}}{}%
\set@adj@colht\@colroom
\@if@empty\enlarge@colroom{}{%
\global\advance\@colroom\enlarge@colroom\relax
\ltxgrid@info@sw{\saythe\@colroom}{}%
}%
\@ifdim{\@colroom>\topskip}{}{%
\ltxgrid@info{Not enough room: \string\@colroom=\the\@colroom; increasing to \the\topskip}%
\@colroom\topskip
}%
\global\@colroom\@colroom
\set@vsize
}%
\def\set@vsize{%
\global\vsize\@colroom
\ltxgrid@info@sw{\class@info{\string\set@vsize\string\vsize=\string\colroom}\saythe\vsize}{}%
}%
\def\set@adj@colht#1{%
#1\@colht
\ltxgrid@info@sw{\class@info{\string\set@adj@colht\string#1-\string\pagesofar}\saythe#1}{}%
\@ifvoid\pagesofar{}{%
\advance#1-\ht\pagesofar\advance#1-\dp\pagesofar
\ltxgrid@info@sw{\class@info{\string\pagesofar}\saythe#1}{}%
}%
\def\@elt{\adj@column#1}%
\@booleantrue\firsttime@sw\@toplist
\@booleantrue\firsttime@sw\@botlist
\let\@elt\relax
}%
\def\adj@column#1#2{%
\advance#1-\ht#2%
\advance#1-\firsttime@sw{\textfloatsep\@booleanfalse\firsttime@sw}{\floatsep}%
\ltxgrid@info@sw{\class@info{\string\adj@column\string#1-\string#2}\saythe#1}{}%
}%
\def\adj@page#1#2{%
\advance#1-\ht#2%
\advance#1-\firsttime@sw{\dbltextfloatsep\@booleanfalse\firsttime@sw}{\dblfloatsep}%
\ltxgrid@info@sw{\class@info{\string\adj@page\string#1-\string#2}\saythe#1}{}%
}%
\def\set@adj@box#1#2{%
\@ifvoid#2{}{%
\advance#1-\ht#2\advance#1-\dp#2%
\@booleantrue\temp@sw
\ltxgrid@foot@info@sw{\class@info{\string\set@adj@box\string#2}\saythe#1}{}%
}%
}%
\appdef\@outputpage@tail{%
\set@colht % FIXME: needed?
\@floatplacement % FIXME: needed?
\@dblfloatplacement % FIXME: needed?
}%
\begingroup
\catcode`\1=\cat@letter
\catcode`\2=\cat@letter
\toks@{%
\setbox\footins\box\footsofar
\balance@two\col@1\@outputbox
\global\setbox\col@1\box\col@1
\global\setbox\@outputbox\box\@outputbox
\combine@foot@inserts\footsofar\footins
}%
\aftergroup\def\aftergroup\balance@2\expandafter
\endgroup\expandafter{\the\toks@}%
\def\balance@two#1#2{%
\ltxgrid@info@sw{\class@info{\string\balance@two\string#1\string#2}}{}%
\outputdebug@sw{\trace@scroll{\showbox#1\showbox#2}}{}%
\setbox\thr@@\copy\footsofar
\setbox\@ne\vbox\bgroup
\@ifvoid{#1}{}{%
\recover@column#1\footsofar\column@recovered\footins@recovered
\@ifvoid{#2}{}{\marry@baselines}%
}%
\@ifvoid{#2}{}{%
\recover@column#2\footsofar\column@recovered\footins@recovered
}%
\egroup
\outputdebug@sw{\trace@scroll{\showbox\@ne}}{}%
\ltxgrid@foot@info@sw{\trace@scroll{\showbox\footsofar}}{}%
\dimen@\ht\@ne\divide\dimen@\tw@
\dimen@i\dimen@
\vbadness\@M
\vfuzz\maxdimen
\splittopskip\topskip
\loopwhile{%
\setbox\z@\copy\@ne\setbox\tw@\vsplit\z@ to\dimen@
\remove@depth\z@\remove@depth\tw@
\dimen@ii\ht\tw@\advance\dimen@ii-\ht\z@
\dimen@i=.5\dimen@i
\ltxgrid@info@sw{\saythe\dimen@\saythe\dimen@i\saythe\dimen@ii}{}%
\@ifdim{\dimen@ii<.5\p@}{%
\@ifdim{\dimen@ii>-.5\p@}%
}{%
\false@sw
}%
{%
\true@sw
}{%
\@ifdim{\dimen@i<.5\p@}%
}%
{%
\false@sw
}%
{%
\advance\dimen@\@ifdim{\dimen@ii<\z@}{}{-}\dimen@i
\true@sw
}%
}%
\ltxgrid@info@sw{\saythe\dimen@\saythe\dimen@i\saythe\dimen@ii}{}%
\@ifdim{\ht\z@=\z@}{%
\@ifdim{\ht\tw@=\z@}%
}{%
\true@sw
}%
{%
}{%
\ltxgrid@info{Unsatifactorily balanced columns: giving up}%
\setbox\tw@\box#1%
\setbox\z@ \box#2%
\global\setbox\footsofar\box\thr@@
}%
\setbox\tw@\vbox{\unvbox\tw@\vskip\z@skip}%
\setbox\z@ \vbox{\unvbox\z@ \vskip\z@skip}%
\set@colht
\dimen@\ht\z@\@ifdim{\dimen@<\ht\tw@}{\dimen@\ht\tw@}{}%
\@ifdim{\dimen@>\@colroom}{\dimen@\@colroom}{}%
\ltxgrid@info@sw{\saythe{\ht\z@}\saythe{\ht\tw@}\saythe\@colroom\saythe\dimen@}{}%
\setbox#1\vbox to\dimen@{\unvbox\tw@\unskip\raggedcolumn@skip}%
\setbox#2\vbox to\dimen@{\unvbox\z@ \unskip\raggedcolumn@skip}%
\outputdebug@sw{\trace@scroll{\showbox#1\showbox#2}}{}%
}%
\def\remove@depth#1{%
\setbox#1\vbox\bgroup
\unvcopy#1%
\setbox\z@\vbox\bgroup
\unvbox#1%
\setbox\z@\lastbox
\aftergroup\kern\aftergroup-\expandafter
\egroup
\the\dp\z@\relax
\egroup
}%
\def\recover@column#1#2#3#4{%
\ltxgrid@info@sw{\class@info{\string\recover@column\string#1\string#2\string#3\string#4}}{}%
\setbox#4\vbox{\unvcopy#1}%
\ltxgrid@foot@info@sw{\trace@scroll{\showbox#4}}{}%
\dimen@\ht#4%
\ltxgrid@foot@info@sw{\saythe\dimen@}{}%
\setbox#4\vbox\bgroup
\unvbox#4\unskip
\dimen@i\lastkern\unkern\advance\dimen@i\lastkern
\@ifdim{\dimen@i=\z@}{%
\dimen@i\lastkern\unkern
\ltxgrid@foot@info@sw{\saythe\dimen@i}{}%
\aftergroup\dimen@i
\expandafter\egroup\the\dimen@i\relax
}{%
\egroup
}%
\@ifdim{\dimen@i<\z@}{%
\advance\dimen@\dimen@i
\ltxgrid@foot@info@sw{\saythe\dimen@i\saythe\dimen@}{}%
\splittopskip\z@skip
\global\setbox#3\vsplit#4 to\dimen@
\global\setbox#4\vbox{\unvbox#4}%
\ltxgrid@foot@info@sw{\trace@scroll{\showbox#1\showbox#2\showbox#3\showbox#4}}{}%
\global\setbox#2\vbox\bgroup\unvbox#2\vskip\z@skip\unvbox#4\egroup
}{%
\setbox#3\box#4%
\ltxgrid@foot@info@sw{\trace@scroll{\showbox#1\showbox#2\showbox#3\showbox#4}}{}%
}%
\unvbox#3%
\loopwhile{\dimen@\lastskip\@ifdim{\dimen@>\z@}{\unskip\true@sw}{\false@sw}}%
}%
\def\recover@column@null#1#2#3#4{%
\unvcopy#1%
}%
\prepdef\@begindocumenthook{%
\open@column@one\@ne
\set@colht
\@floatplacement
\@dblfloatplacement
}%
\def\longtable@longtable{%
\par
\ifx\multicols\@undefined\else\ifnum\col@number>\@ne\@twocolumntrue\fi\fi
\if@twocolumn\LT@err{longtable not in 1-column mode}\@ehc\fi
\begingroup
\@ifnextchar[\LT@array{\LT@array[x]}%
}%
\def\longtable@new{%
\par
\@ifnextchar[\LT@array{\LT@array[x]}%
}%
\def\endlongtable@longtable{%
\crcr
\noalign{%
\let\LT@entry\LT@entry@chop
\xdef\LT@save@row{\LT@save@row}}%
\LT@echunk
\LT@start
\unvbox\z@
\LT@get@widths
\if@filesw
{\let\LT@entry\LT@entry@write\immediate\write\@auxout{%
\gdef\expandafter\noexpand
\csname LT@\romannumeral\c@LT@tables\endcsname
{\LT@save@row}}}%
\fi
\ifx\LT@save@row\LT@@save@row
\else
\LT@warn{Column \@width s have changed\MessageBreak
in table \thetable}%
\LT@final@warn
\fi
\endgraf\penalty -\LT@end@pen
\endgroup
\global\@mparbottom\z@
\pagegoal\vsize
\endgraf\penalty\z@\addvspace\LTpost
\ifvoid\footins\else\insert\footins{}\fi
}%
\def\endlongtable@new{%
\crcr
\noalign{%
\let\LT@entry\LT@entry@chop
\xdef\LT@save@row{\LT@save@row}%
}%
\LT@echunk
\LT@start
\unvbox\z@
\LT@get@widths
\@if@sw\if@filesw\fi{%
{%
\let\LT@entry\LT@entry@write
\immediate\write\@auxout{%
\gdef\expandafter\noexpand\csname LT@\romannumeral\c@LT@tables\endcsname
{\LT@save@row}%
}%
}%
}{}%
\@ifx{\LT@save@row\LT@@save@row}{}{%
\LT@warn{%
Column \@width s have changed\MessageBreak in table \thetable
}\LT@final@warn
}%
\endgraf
\nobreak
\box\@ifvoid\LT@lastfoot{\LT@foot}{\LT@lastfoot}%
\global\@mparbottom\z@
\endgraf
\LT@post
}%
\def\LT@start@longtable{%
\let\LT@start\endgraf
\endgraf\penalty\z@\vskip\LTpre
\dimen@\pagetotal
\advance\dimen@ \ht\ifvoid\LT@firsthead\LT@head\else\LT@firsthead\fi
\advance\dimen@ \dp\ifvoid\LT@firsthead\LT@head\else\LT@firsthead\fi
\advance\dimen@ \ht\LT@foot
\dimen@ii\vfuzz
\vfuzz\maxdimen
\setbox\tw@\copy\z@
\setbox\tw@\vsplit\tw@ to \ht\@arstrutbox
\setbox\tw@\vbox{\unvbox\tw@}%
\vfuzz\dimen@ii
\advance\dimen@ \ht
\ifdim\ht\@arstrutbox>\ht\tw@\@arstrutbox\else\tw@\fi
\advance\dimen@\dp
\ifdim\dp\@arstrutbox>\dp\tw@\@arstrutbox\else\tw@\fi
\advance\dimen@ -\pagegoal
\ifdim \dimen@>\z@\vfil\break\fi
\global\@colroom\@colht
\ifvoid\LT@foot\else
\advance\vsize-\ht\LT@foot
\global\advance\@colroom-\ht\LT@foot
\dimen@\pagegoal\advance\dimen@-\ht\LT@foot\pagegoal\dimen@
\maxdepth\z@
\fi
\ifvoid\LT@firsthead\copy\LT@head\else\box\LT@firsthead\fi
\nobreak
\output{\LT@output}%
}%
\def\LT@start@new{%
\let\LT@start\endgraf
\endgraf
\markthr@@{}%
\LT@pre
\@ifvoid\LT@firsthead{\LT@top}{\box\LT@firsthead\nobreak}%
\mark@envir{longtable}%
}%
\def\LT@end@hd@ft@longtable#1{%
\LT@echunk
\ifx\LT@start\endgraf
\LT@err{Longtable head or foot not at start of table}{Increase LTchunksize}%
\fi
\setbox#1\box\z@
\LT@get@widths\LT@bchunk
}%
\def\LT@end@hd@ft@new#1{%
\LT@echunk
\@ifx{\LT@start\endgraf}{%
\LT@err{Longtable head or foot not at start of table}{Increase LTchunksize}%
}%
\global\setbox#1\box\z@
\LT@get@widths
\LT@bchunk
}%
\def\LT@array@longtable[#1]#2{%
\refstepcounter{table}\stepcounter{LT@tables}%
\if l#1%
\LTleft\z@ \LTright\fill
\else\if r#1%
\LTleft\fill \LTright\z@
\else\if c#1%
\LTleft\fill \LTright\fill
\fi\fi\fi
\let\LT@mcol\multicolumn
\let\LT@@tabarray\@tabarray
\let\LT@@hl\hline
\def\@tabarray{%
\let\hline\LT@@hl
\LT@@tabarray}%
\let\\\LT@tabularcr\let\tabularnewline\\%
\def\newpage{\noalign{\break}}%
\def\pagebreak{\noalign{\ifnum`}=0\fi\@testopt{\LT@no@pgbk-}4}%
\def\nopagebreak{\noalign{\ifnum`}=0\fi\@testopt\LT@no@pgbk4}%
\let\hline\LT@hline \let\kill\LT@kill\let\caption\LT@caption
\@tempdima\ht\strutbox
\let\@endpbox\LT@endpbox
\ifx\extrarowheight\@undefined
\let\@acol\@tabacol
\let\@classz\@tabclassz \let\@classiv\@tabclassiv
\def\@startpbox{\vtop\LT@startpbox}%
\let\@@startpbox\@startpbox
\let\@@endpbox\@endpbox
\let\LT@LL@FM@cr\@tabularcr
\else
\advance\@tempdima\extrarowheight
\col@sep\tabcolsep
\let\@startpbox\LT@startpbox\let\LT@LL@FM@cr\@arraycr
\fi
\setbox\@arstrutbox\hbox{\vrule
\@height \arraystretch \@tempdima
\@depth \arraystretch \dp \strutbox
\@width \z@}%
\let\@sharp##\let\protect\relax
\begingroup
\@mkpream{#2}%
\xdef\LT@bchunk{%
\global\advance\c@LT@chunks\@ne
\global\LT@rows\z@\setbox\z@\vbox\bgroup
\LT@setprevdepth
\tabskip\LTleft \noexpand\halign to\hsize\bgroup
\tabskip\z@ \@arstrut \@preamble \tabskip\LTright \cr}%
\endgroup
\expandafter\LT@nofcols\LT@bchunk&\LT@nofcols
\LT@make@row
\m@th\let\par\@empty
\everycr{}\lineskip\z@\baselineskip\z@
\LT@bchunk}%
\def\LT@LR@l{\LTleft\z@ \LTright\fill}%
\def\LT@LR@r{\LTleft\fill \LTright\z@ }%
\def\LT@LR@c{\LTleft\fill \LTright\fill}%
\def\LT@array@new[#1]#2{%
\refstepcounter{table}\stepcounter{LT@tables}%
\table@hook
\LTleft\fill \LTright\fill
\csname LT@LR@#1\endcsname
\let\LT@mcol\multicolumn
\let\LT@@hl\hline
\prepdef\@tabarray{\let\hline\LT@@hl}%
\let\\\LT@tabularcr
\let\tabularnewline\\%
\def\newpage{\noalign{\break}}%
\def\pagebreak{\noalign{\ifnum`}=0\fi\@testopt{\LT@no@pgbk-}4}%
\def\nopagebreak{\noalign{\ifnum`}=0\fi\@testopt\LT@no@pgbk4}%
\let\hline\LT@hline
\let\kill\LT@kill
\let\caption\LT@caption
\@tempdima\ht\strutbox
\let\@endpbox\LT@endpbox
\@ifxundefined\extrarowheight{%
\let\@acol\@tabacol
\let\@classz\@tabclassz
\let\@classiv\@tabclassiv
\def\@startpbox{\vtop\LT@startpbox}%
\let\@@startpbox\@startpbox
\let\@@endpbox\@endpbox
\let\LT@LL@FM@cr\@tabularcr@LaTeX
\let\@xtabularcr\@xtabularcr@LaTeX
}{%
\advance\@tempdima\extrarowheight
\col@sep\tabcolsep
\let\@startpbox\LT@startpbox
\let\LT@LL@FM@cr\@arraycr@array
}%
\let\@acoll\@tabacoll
\let\@acolr\@tabacolr
\let\@acol\@tabacol
\setbox\@arstrutbox\hbox{%
\vrule
\@height \arraystretch \@tempdima
\@depth \arraystretch \dp \strutbox
\@width \z@
}%
\let\@sharp##%
\let\protect\relax
\begingroup
\@mkpream{#2}%
\@mkpream@relax
\edef\@preamble{\@preamble}%
\prepdef\@preamble{%
\global\advance\c@LT@chunks\@ne
\global\LT@rows\z@
\setbox\z@\vbox\bgroup
\LT@setprevdepth
\tabskip\LTleft
\halign to\hsize\bgroup
\tabskip\z@
\@arstrut
}%
\appdef\@preamble{%
\tabskip\LTright
\cr
}%
\global\let\LT@bchunk\@preamble
\endgroup
\expandafter\LT@nofcols\LT@bchunk&\LT@nofcols
\LT@make@row
\m@th
\let\par\@empty
\everycr{}%
\lineskip\z@
\baselineskip\z@
\LT@bchunk
}%
\appdef\table@hook{}%
\def\switch@longtable{%
\@ifpackageloaded{longtable}{%
\@ifx{\longtable\longtable@longtable}{%
\@ifx{\endlongtable\endlongtable@longtable}{%
\@ifx{\LT@start\LT@start@longtable}{%
\@ifx{\LT@end@hd@ft\LT@end@hd@ft@longtable}{%
\@ifx{\LT@array\LT@array@longtable}{%
\true@sw
}{\false@sw}%
}{\false@sw}%
}{\false@sw}%
}{\false@sw}%
}{\false@sw}%
{%
\class@info{Patching longtable package}%
}{%
\class@info{Patching unrecognized longtable package. (Proceeding with fingers crossed)}%
}%
\let\longtable\longtable@new
\let\endlongtable\endlongtable@new
\let\LT@start\LT@start@new
\let\LT@end@hd@ft\LT@end@hd@ft@new
\let\LT@array\LT@array@new
\newenvironment{longtable*}{%
\onecolumngrid@push
\longtable
}{%
\endlongtable
\onecolumngrid@pop
}%
}{}%
}%
\def\LT@pre{\penalty\z@\vskip\LTpre}%
\def\LT@bot{\nobreak\copy\LT@foot\vfil}%
\def\LT@top{\copy\LT@head\nobreak}%
\def\LT@post{\penalty\z@\addvspace\LTpost\mark@envir{\curr@envir}}%
\def\LT@adj{%
\setbox\z@\vbox{\null}\dimen@-\ht\z@
\setbox\z@\vbox{\unvbox\z@\LT@bot}\advance\dimen@\ht\z@
\global\advance\vsize-\dimen@
}%
\def\output@init@longtable{\LT@adj}%
\def\output@prep@longtable{\setbox\@cclv\vbox{\unvbox\@cclv\LT@bot}}%
\def\output@post@longtable{\LT@top}%
\let\output@init@theindex\@empty
\let\output@prep@theindex\@empty
\def\output@post@theindex{%
\@ifodd\c@page{}{%
\@ifnum{\pagegrid@cur=\@ne}{%
}%
}%
}%
\def\check@aux{\do@output@MVL{\do@check@aux}}%
\def\check@deferlist@stuck#1{%
\@ifx{\@deferlist@postshipout\@empty}{}{%
\@ifx{\@deferlist@postshipout\@deferlist}{%
\@fltstk
\clearpage@sw{%
\ltxgrid@warn{Deferred float stuck during \string\clearpage\space processing}%
}{%
\force@deferlist@stuck#1%
}%
}{%
}%
\global\let\@deferlist@postshipout\@empty
}%
}%
\def\@fltstk{%
\@latex@warning{A float is stuck (cannot be placed without \string\clearpage)}%
}%
\appdef\@outputpage@tail{%
\global\let\@deferlist@postshipout\@deferlist
}%
\def\@next#1#2{%
\@ifx{#2\@empty}{\false@sw}{%
\expandafter\@xnext#2\@@#1#2%
\true@sw
}%
}%
\def\@xnext\@elt#1#2\@@#3#4{%
\def#3{#1}%
\gdef#4{#2}%
\def\@tempa{#4}\def\@tempb{\@freelist}%
\@ifx{\@tempa\@tempb}{%
\@ifx{#4\@empty}{%
\force@deferlist@empty%{Float register pool exhausted}%
}{}%
}{}%
}%
\def\force@deferlist@stuck#1{%
\force@deferlist@sw{%
\@booleantrue\clearpage@sw
\@booleantrue\forcefloats@sw
#1%
}{%
}%
}%
\def\force@deferlist@empty{%
\force@deferlist@sw{%
\penalty-\pagebreak@pen
\protect@penalty\do@forcecolumn@pen
}{%
}%
}%
\@booleanfalse\force@deferlist@sw
\mathchardef\do@forcecolumn@pen=10009
\@namedef{output@-\the\do@forcecolumn@pen}{\do@forcecolumn}%
\def\do@forcecolumn{%
\@booleantrue\clearpage@sw
\@booleantrue\forcefloats@sw
\do@startcolumn
}%
\def\enlargethispage{%
\@ifstar{%
\@enlargethispage{}%
}{%
\@enlargethispage{}%
}%
}%
\def\@enlargethispage#1#2{%
\begingroup
\dimen@#2\relax
\edef\@tempa{#1}%
\edef\@tempa{\noexpand\@@enlargethispage{\@tempa}{\the\dimen@}}%
\expandafter\do@output@MVL\expandafter{\@tempa}%
\endgroup
}%
\def\@@enlargethispage#1#2{%
\def\@tempa{one}%
\@ifx{\thepagegrid\@tempa}{%
\true@sw
}{%
\def\@tempa{mlt}%
\@ifx{\thepagegrid\@tempa}{%
\@ifnum{\pagegrid@cur=\@ne}{%
\gdef\enlarge@colroom{#2}%
\true@sw
}{%
\ltxgrid@warn{Too late to enlarge this page; move the command to the first column.}%
\false@sw
}%
}{%
\ltxgrid@warn{Unable to enlarge a page of this kind.}%
\false@sw
}%
}%
{%
\class@info{Enlarging page \thepage\space by #2}%
\global\advance\@colroom#2\relax
\set@vsize
}{%
}%
}%
\let\enlarge@colroom\@empty
\let\@kludgeins\@undefined
\@booleantrue\textheight@sw
\prepdef\@outputpage@head{%
\textheight@sw{%
\count@\vbadness\vbadness\@M
\dimen@\vfuzz\vfuzz\maxdimen
\setbox\@outputbox\vbox to\textheight{\unvbox\@outputbox}%
\vfuzz\dimen@
\vbadness\count@
}{}%
}%
\appdef\@outputpage@head{%
\@ifx{\LS@rot\@undefined}{}{\LS@rot}%
}%
\def\ltxgrid@info{%
\ltxgrid@info@sw{\class@info}{\@gobble}%
}%
\@booleanfalse\ltxgrid@info@sw
\def\ltxgrid@warn{%
\ltxgrid@warn@sw{\class@warn}{\@gobble}%
}%
\@booleantrue\ltxgrid@warn@sw
\@booleanfalse\ltxgrid@foot@info@sw
\def\def@next@handler#1#2#3{%
\advance#1\@ne\mathchardef#2\the#1%
\expandafter\def\csname output@-\the#1\endcsname{#3}%
}%
\def\def@line@handler#1#2{%
\begingroup
\@tempcnta\int@parpenalty
\advance\@tempcnta-#1%
\aftergroup\def
\expandafter\aftergroup\csname output@-\the\@tempcnta\endcsname
\endgroup{#2}%
}%
\mathchardef\int@parpenalty11012
\def@line@handler\z@{\@handle@line@ltx{}{}{}}%
\def@line@handler\@ne{\@handle@line@ltx{}{}{\brokenpenalty@ltx}}%
\def@line@handler\tw@{\@handle@line@ltx{}{\clubpenalty@ltx}{}}%
\def@line@handler\thr@@{\@handle@line@ltx{\clubpenalty@ltx}{}{\brokenpenalty@ltx}}%
\def@line@handler\f@ur{\@handle@line@ltx{\widowpenalty@ltx}{}{}}%
\def@line@handler{5}{\@handle@line@ltx{\widowpenalty@ltx}{}{\brokenpenalty@ltx}}%
\def@line@handler{6}{\@handle@line@ltx{\widowpenalty@ltx}{\clubpenalty@ltx}{}}%
\def@line@handler{7}{\@handle@line@ltx{\widowpenalty@ltx}{\clubpenalty@ltx}{\brokenpenalty@ltx}}%
\def@line@handler{8}{\@handle@line@ltx{\displaywidowpenalty@ltx}{}{}}%
\def@line@handler{9}{\@handle@line@ltx{\displaywidowpenalty@ltx}{}{\brokenpenalty@ltx}}%
\def@line@handler{10}{\@handle@line@ltx{\displaywidowpenalty@ltx}{\clubpenalty@ltx}{}}%
\def@line@handler{11}{\@handle@line@ltx{\displaywidowpenalty@ltx}{\clubpenalty@ltx}{\brokenpenalty@ltx}}%
\def\@handle@line@ltx#1#2#3{%
\@@handle@line@ltx
\@tempcnta\lastpenalty
\@tempcntb\interlinepenalty@ltx\relax
\@if@empty{#1}{}{\advance\@tempcntb#1\relax}%
\@if@empty{#2}{}{\advance\@tempcntb#2\relax}%
\@if@empty{#3}{}{\advance\@tempcntb#3\relax}%
\penalty\@ifnum{\@tempcnta<\@tempcntb}{\@tempcntb}{\@tempcnta}%
}%
\let\@@handle@line@ltx\@empty
\@tempcnta\int@parpenalty
\def@next@handler\@tempcnta\int@postparpenalty{\reset@queues@ltx\handle@par@ltx}%
\def@next@handler\@tempcnta\int@vadjustpenalty{\handle@vadjust@ltx}%
\def@next@handler\@tempcnta\int@whatsitpenalty{\handle@whatsit@ltx}%
\def@next@handler\@tempcnta\int@predisplaypenalty{\reset@queues@ltx\@handle@display@ltx{\predisplaypenalty@ltx}}%
\def@next@handler\@tempcnta\int@interdisplaylinepenalty{\@handle@display@ltx{\interdisplaylinepenalty@ltx}}%
\def@next@handler\@tempcnta\int@postdisplaypenalty{\@handle@display@ltx{\postdisplaypenalty@ltx}}%
\def\@handle@display@ltx#1{%
\@@handle@display@ltx
\@tempcnta\lastpenalty
\@tempcntb#1%
\penalty\@ifnum{\@tempcnta<\@tempcntb}{\@tempcntb}{\@tempcnta}%
}%
\let\@@handle@display@ltx\@empty
\def\handle@par@ltx{}%
\def\set@linepenalties{%
\expandafter\def\expandafter\interlinepenalty@ltx\expandafter{\the\interlinepenalty}%
\interlinepenalty-\int@parpenalty
\expandafter\def\expandafter\brokenpenalty@ltx\expandafter{\the\brokenpenalty}%
\brokenpenalty\@ne
\expandafter\def\expandafter\clubpenalty@ltx\expandafter{\the\clubpenalty}%
\clubpenalty\tw@
\expandafter\def\expandafter\widowpenalty@ltx\expandafter{\the\widowpenalty}%
\widowpenalty\f@ur
\expandafter\def\expandafter\displaywidowpenalty@ltx\expandafter{\the\displaywidowpenalty}%
\displaywidowpenalty8\relax
}%
\def\restore@linepenalties{%
\interlinepenalty\interlinepenalty@ltx
\brokenpenalty\brokenpenalty@ltx
\clubpenalty\clubpenalty@ltx
\widowpenalty\widowpenalty@ltx
\displaywidowpenalty\displaywidowpenalty@ltx
\relax
}%
\def\set@displaypenalties#1{%
\expandafter\def\expandafter\predisplaypenalty@ltx\expandafter{\the\predisplaypenalty}%
\expandafter\def\expandafter\interdisplaylinepenalty@ltx\expandafter{\the\interdisplaylinepenalty}%
\expandafter\def\expandafter\postdisplaypenalty@ltx\expandafter{\the\postdisplaypenalty}%
\@ifhmode{\predisplaypenalty-\int@predisplaypenalty\relax}{}%
#1{\interdisplaylinepenalty-\int@interdisplaylinepenalty\relax}{}%
#1{\postdisplaypenalty-\int@postdisplaypenalty\relax}{}%
}%
\def\enqueue@whatsit@ltx#1{%
\gappdef\g@whatsit@queue{{#1}}%
\vadjust{\penalty-\int@whatsitpenalty}%
}%
\def\handle@whatsit@ltx{%
\unvbox\@cclv
\g@pop@ltx\g@whatsit@queue\@tempa
\expandafter\do@whatsit\expandafter{\@tempa}%
}%
\def\do@whatsit#1{}%
\def\g@pop@ltx#1#2{%
\expandafter\@g@pop@ltx#1{}{}\@@#1#2%
}%
\def\@g@pop@ltx#1#2\@@#3#4{%
\gdef#3{#2}%
\def#4{#1}%
}%
\let\vspace@ltx\vspace
\let\pagebreak@ltx\pagebreak
\let\nopagebreak@ltx\nopagebreak
\let\endline@ltx\\
\let\@arrayparboxrestore@ltx\@arrayparboxrestore
\def\@vspace@org #1{%
\ifvmode
\vskip #1
\vskip\z@skip
\else
\@bsphack
\vadjust{\@restorepar
\vskip #1
\vskip\z@skip
}%
\@esphack
\fi
}%
\def\@vspace@ltx#1{%
\@ifvmode{%
\vskip#1\vskip\z@skip
}{%
\@bsphack
\ex@vadjust@ltx{%
\@restorepar
\nobreak
\vskip#1\vskip\z@skip
}%
\@esphack
}%
}%
\def\@vspacer@org#1{%
\ifvmode
\dimen@\prevdepth
\hrule \@height\z@
\nobreak
\vskip #1
\vskip\z@skip
\prevdepth\dimen@
\else
\@bsphack
\vadjust{\@restorepar
\hrule \@height\z@
\nobreak
\vskip #1
\vskip\z@skip}%
\@esphack
\fi
}%
\def\@vspacer@ltx#1{%
\@ifvmode{%
\dimen@\prevdepth
\hrule\@height\z@
\nobreak
\vskip#1\vskip\z@skip
\prevdepth\dimen@
}{%
\@bsphack
\ex@vadjust@ltx{%
\@restorepar
\hrule\@height\z@
\nobreak
\vskip#1\vskip\z@skip
}%
\@esphack
}%
}%
\def\@no@pgbk@org #1[#2]{%
\ifvmode
\penalty #1\@getpen{#2}%
\else
\@bsphack
\vadjust{\penalty #1\@getpen{#2}}%
\@esphack
\fi
}%
\def\@no@pgbk@ltx#1[#2]{%
\@ifvmode{%
\penalty#1\@getpen{#2}%
}{%
\@bsphack
\ex@vadjust@ltx{%
\penalty#1\@getpen{#2}%
}%
\@esphack
}%
}%
\long\def\end@line@org{%
\let\reserved@e\relax
\let\reserved@f\relax
\@ifstar{%
\let\reserved@e\vadjust
\let\reserved@f\nobreak
\@xnewline
}%
\@xnewline
}%
\long\def\end@line@ltx{%
\let\reserved@e\relax
\let\reserved@f\relax
\@ifstar{%
\let\reserved@e\ex@vadjust@ltx
\let\reserved@f\nobreak
\@xnewline
}{%
\@xnewline
}%
}%
\def\@newline@org[#1]{%
\let\reserved@e\vadjust
\@gnewline{\vskip#1}%
}%
\def\@newline@ltx[#1]{%
\let\reserved@e\ex@vadjust@ltx
\@gnewline{\vskip#1}%
}%
\@ifx{\@vspace\@vspace@org}{%
\@ifx{\@vspacer\@vspacer@org}{%
\@ifx{\@no@pgbk\@no@pgbk@org}{%
\@ifx{\@newline\@newline@org}{%
\expandafter\@ifx\expandafter{\csname\expandafter\@gobble\string\\ \endcsname\end@line@org}{%
\true@sw
}{\false@sw}%
}{\false@sw}%
}{\false@sw}%
}{\false@sw}%
}{\false@sw}%
{%
\class@info{Overriding \string\@vspace, \string\@vspacer, \string\@no@pgbk, \string\@newline, and \string\\ }%
\let\@normalcr\end@line@ltx
\expandafter\let\csname\expandafter\@gobble\string\\ \endcsname\@normalcr
\let\@newline\@newline@ltx
\let\@vspace\@vspace@ltx
\let\@vspacer\@vspacer@ltx
\let\@no@pgbk\@no@pgbk@ltx
}{%
\class@warn{%
Failed to recognize \string\@vspace, \string\@vspacer, \string\@no@pgbk, \string\@newline, and \string\\;
no patches applied. Please get a more up-to-date class,
}%
}%
\let\ex@vadjust@ltx\vadjust
\def\enqueue@vadjust@ltx#1{%
\gappdef\g@vadjust@queue{{#1}}%
\vadjust{\penalty-\int@vadjustpenalty}%
}%
\def\handle@vadjust@ltx{%
\unvbox\@cclv
\g@pop@ltx\g@vadjust@queue\@tempa
\expandafter\gappdef\expandafter\g@vadjust@line\expandafter{\@tempa}%
}%
\let\g@vadjust@line\@empty
\def\reset@queues@ltx{%
\global\let\g@whatsit@queue\@empty
\global\let\g@vadjust@queue\@empty
}%
\newcommand\linenomathWithnumbers@LN{%
\ifLineNumbers
\ifnum\interlinepenalty>-\linenopenaltypar
\global\holdinginserts\thr@@
\advance\interlinepenalty \linenopenalty
\ifhmode
\advance\predisplaypenalty \linenopenalty
\fi
\advance\postdisplaypenalty \linenopenalty
\advance\interdisplaylinepenalty \linenopenalty
\fi
\fi
\ignorespaces
}%
\newcommand\linenomathNonumbers@LN{%
\ifLineNumbers
\ifnum\interlinepenalty>-\linenopenaltypar
\global\holdinginserts\thr@@
\advance\interlinepenalty \linenopenalty
\ifhmode
\advance\predisplaypenalty \linenopenalty
\fi
\fi
\fi
\ignorespaces
}%
\def\endlinenomath@LN{%
\ifLineNumbers
\global\holdinginserts\@LN@outer@holdins
\fi
\global\@ignoretrue
}
\def\linenumberpar@LN{%
\ifvmode \@@@par \else
\ifinner \@@@par \else
\xdef\@LN@outer@holdins{\the\holdinginserts}%
\advance \interlinepenalty \linenopenalty
\linenoprevgraf \prevgraf
\global \holdinginserts \thr@@
\@@@par
\ifnum\prevgraf>\linenoprevgraf
\penalty-\linenopenaltypar
\fi
\@LN@parpgbrk
\global\holdinginserts\@LN@outer@holdins
\advance\interlinepenalty -\linenopenalty
\fi
\fi
}%
\appdef\class@documenthook{%
\@ifpackageloaded{lineno}{%
\@ifx{\linenomathWithnumbers\linenomathWithnumbers@LN}{%
\@ifx{\linenomathNonumbers\linenomathNonumbers@LN}{%
\@ifx{\endlinenomath\endlinenomath@LN}{%
\@ifx{\linenumberpar\linenumberpar@LN}{%
\true@sw
}{\false@sw}%
}{\false@sw}%
}{\false@sw}%
}{\false@sw}%
{%
\class@info{Overriding lineo.sty, restoring output routine,}%
\let\linenumberpar\linenumberpar@ltx
\let\endlinenomath\endlinenomath@ltx
\expandafter\let\csname endlinenomath*\endcsname\endlinenomath@ltx
\let\linenomathWithnumbers\linenomathWithnumbers@ltx
\let\linenomathNonumbers\linenomathNonumbers@ltx
\let\ex@vadjust@ltx\ex@vadjust@line
\let\@LN@postlabel\enqueue@whatsit@ltx
\let\do@whatsit\write@linelabel
\let\handle@par@ltx\handle@par@LN
\let\@@handle@line@ltx\Make@LineNo@ltx
\let\@@handle@display@ltx\Make@LineNo@ltx
\output@latex{\natural@output}%
\let\vspace\vspace@ltx
\let\pagebreak\pagebreak@ltx
\let\nopagebreak\nopagebreak@ltx
\let\@arrayparboxrestore\@arrayparboxrestore@ltx
\let\\\endline@ltx
\appdef\set@footnotefont{%
\let\par\@@@par
\let\@@par\@@@par
}%
\@if@sw\ifLineNumbers\fi{%
\class@info{Reinvoke \string\linenumbers}%
\let\@@par\linenumberpar
\@ifx{\@par\linenumberpar@LN}{\let\@par\linenumberpar}{}%
\@ifx{\par\linenumberpar@LN}{\let\par\linenumberpar}{}%
}{%
\class@info{Line numbering not turned on yet}%
}%
}{%
\class@warn{Failed to recognize lineno.sty procedures; no patches applied. Please get a more up-to-date class.}%
}%
}{%
}%
}%
\def\linenumberpar@ltx{\@ifvmode{\@@@par}{\@linenumberpar}}%
\def\@linenumberpar{%
\linenoprevgraf\prevgraf
\set@linepenalties
\@@@par
\@ifnum{\prevgraf>\linenoprevgraf}{
\penalty-\int@postparpenalty
}{}%
\@LN@parpgbrk
\restore@linepenalties
}%
\newcommand\linenomathWithnumbers@ltx{\@linenomathnumbers@ltx\true@sw}%
\newcommand\linenomathNonumbers@ltx{\@linenomathnumbers@ltx\false@sw}%
\def\@linenomathnumbers@ltx#1{%
\@if@sw\ifLineNumbers\fi{%
\set@linepenalties
\set@displaypenalties#1%
}{}%
\ignorespaces
}%
\def\endlinenomath@ltx{%
\global\@ignoretrue
}%
\def\handle@par@LN{%
\Make@LineNo@ltx
\@tempcnta\lastpenalty
\@ifnum{\@tempcnta=\z@}{}{%
\expandafter\gdef
\expandafter\@LN@parpgbrk
\expandafter{%
\expandafter\penalty
\the\@tempcnta
\global\let\@LN@parpgbrk\@LN@screenoff@pen
}%
}%
}%
\def\Make@LineNo@ltx{%
\@LN@maybe@normalLineNumber
\boxmaxdepth\maxdimen\setbox\z@\vbox{\unvbox\@cclv}%
\@tempdima\dp\z@
\unvbox\z@
\sbox\@tempboxa{\hb@xt@\z@{\makeLineNumber}}%
\ht\@tempboxa\z@
\@LN@depthbox
\stepLineNumber
\g@vadjust@line
\global\let\g@vadjust@line\@empty
}%
\def\write@linelabel#1{%
\protected@write\@auxout{}{%
\string\newlabel{#1}{{\theLineNumber}{\thepage}{}{}{}}%
}%
}%
\def\ex@vadjust@line{%
\@if@sw\ifLineNumbers\fi{\enqueue@vadjust@ltx}{\vadjust}%
}%
\let\setup@hook\@empty
\appdef\document@inithook{%
\switch@longtable
\let\LT@makecaption\LT@makecaption@rtx
}%
\def\LT@makecaption@rtx#1#2#3{%
\LT@mcol\LT@cols c{%
\hbox to\z@{%
\hss
\parbox[t]\LTcapwidth{%
\sbox\@tempboxa{#1{#2: }#3\unskip\nobreak\vrule\@width\z@\@height\z@\@depth .5\baselineskip}%
\ifdim\wd\@tempboxa>\hsize
#1{#2: }#3\unskip\nobreak\vrule\@width\z@\@height\z@\@depth .5\baselineskip
\else
\hbox to\hsize{\hfil\box\@tempboxa\hfil}%
\fi
\endgraf
}%
\hss
}%
}%
}%
\def\protectdef@boldmath{%
\expandafter\@ifnotrelax\csname boldmath \endcsname{}{%
\class@info{Robustifying \string\LaTeX's \string\boldmath\space command}%
\expandafter\let\csname boldmath \endcsname\boldmath
\expandafter\def\expandafter\boldmath\expandafter{\expandafter\protect\csname boldmath \endcsname}%
}%
}%
\appdef\document@inithook{%
\protectdef@boldmath
}%
\DeclareOption{checkin}{%
\@booleantrue\dateinRH@sw
\@booleantrue\preprintsty@sw
\def\@pointsize{12}%
\@booleantrue\showPACS@sw
\@booleantrue\showKEYS@sw
\def\fp@proc@h{\allow@breaking@tables}%
\def\fp@proc@H{\allow@breaking@tables}%
}%
\@booleanfalse\dateinRH@sw
\def\checkindate{\dateinRH@sw{{\tiny(\today)}}{}}%
\def\allow@breaking@tables{%
\def\array@default{v}% tabular can break over pages
\@booleanfalse\floats@sw % table can break over pages
}%
\DeclareOption{preprint}{%
\@booleantrue\preprintsty@sw
\ExecuteOptions{12pt}%
}%
\DeclareOption{reprint}{%
\@booleanfalse\preprintsty@sw
\@booleantrue\twocolumn@sw
\ExecuteOptions{10pt}%
}%
\DeclareOption{manuscript}{%
\class@warn{Document class option manuscript is obsolete; use preprint instead}%
\ExecuteOptions{preprint}%
}%
\@booleanfalse\preprintsty@sw
\DeclareOption{showpacs}{%
\@booleantrue\showPACS@sw
}%
\DeclareOption{noshowpacs}{%
\@booleanfalse\showPACS@sw
}%
\DeclareOption{showkeys}{%
\@booleantrue\showKEYS@sw
}%
\DeclareOption{noshowkeys}{%
\@booleanfalse\showKEYS@sw
}%
\@booleanfalse\showPACS@sw
\@booleanfalse\showKEYS@sw
\DeclareOption{balancelastpage}{%
\@booleantrue\balancelastpage@sw
}%
\DeclareOption{nobalancelastpage}{%
\@booleanfalse\balancelastpage@sw
}%
\@booleantrue\balancelastpage@sw
\DeclareOption{nopreprintnumbers}{\@booleanfalse\preprint@sw}%
\DeclareOption{preprintnumbers}{\@booleantrue\preprint@sw}%
\appdef\setup@hook{%
\@ifxundefined\preprint@sw{\let\preprint@sw\preprintsty@sw}{}%
}%
\DeclareOption{hyperref}{%
\class@warn{Class option "hyperref" is no longer supported.^^JEmploy \string\usepackage{hyperref} instead}%
}%
\DeclareOption{10pt}{\def\@pointsize{10}}%
\DeclareOption{11pt}{\def\@pointsize{11}}%
\DeclareOption{12pt}{\def\@pointsize{12}}%
\let\@pointsize\@undefined
\DeclareOption{a4paper}{%
\setlength\paperheight {297mm}%
\setlength\paperwidth {210mm}%
}%
\DeclareOption{a5paper}{%
\setlength\paperheight {210mm}%
\setlength\paperwidth {148mm}%
}%
\DeclareOption{b5paper}{%
\setlength\paperheight {250mm}%
\setlength\paperwidth {176mm}%
}%
\DeclareOption{letterpaper}{%
\setlength\paperheight {11in}%
\setlength\paperwidth {8.5in}%
}%
\DeclareOption{legalpaper}{%
\setlength\paperheight {14in}%
\setlength\paperwidth {8.5in}%
}%
\DeclareOption{executivepaper}{%
\setlength\paperheight {10.5in}%
\setlength\paperwidth {7.25in}%
}%
\DeclareOption{landscape}{%
\setlength\@tempdima {\paperheight}%
\setlength\paperheight {\paperwidth}%
\setlength\paperwidth {\@tempdima}%
}%
\ds@letterpaper
\DeclareOption{bibnotes}{\let\frontmatter@footnote@produce\frontmatter@footnote@produce@endnote}%
\DeclareOption{nobibnotes}{\let\frontmatter@footnote@produce\frontmatter@footnote@produce@footnote}%
\let\frontmatter@footnote@produce\frontmatter@footnote@produce@footnote
\appdef\class@enddocumenthook{\auto@bib}%
\DeclareOption{footinbib}{\@booleantrue\footinbib@sw}
\DeclareOption{nofootinbib}{\@booleanfalse\footinbib@sw}
\@booleanfalse\footinbib@sw
\DeclareOption{altaffilletter}{\@booleantrue\altaffilletter@sw}%
\DeclareOption{altaffilsymbol}{\@booleanfalse\altaffilletter@sw}%
\@booleanfalse\altaffilletter@sw
\DeclareOption{superbib}{%
\let\place@bibnumber\place@bibnumber@sup
}%
\def\place@bibnumber{\NATx@bibnumfmt}%
\def\place@bibnumber@sup#1{\textsuperscript{#1}}%
\def\place@bibnumber@inl#1{[#1]}%
\DeclareOption{citeautoscript}{\@booleantrue\citeautoscript@sw}%
\@booleanfalse\citeautoscript@sw
\DeclareOption{longbibliography}{\@booleantrue\longbibliography@sw}%
\DeclareOption{nolongbibliography}{\@booleanfalse\longbibliography@sw}%
\@booleanfalse\longbibliography@sw
\DeclareOption{eprint}{\@booleantrue\eprint@enable@sw}%
\DeclareOption{noeprint}{\@booleanfalse\eprint@enable@sw}%
\@booleantrue\eprint@enable@sw
\@booleanfalse\twoside@sw
\appdef\document@inithook{%
\twoside@sw{\@twosidetrue}{\@twosidefalse}%
}%
\DeclareOption{twoside}{\@booleantrue \twoside@sw\@mparswitchfalse}%
\DeclareOption{oneside}{\@booleanfalse\twoside@sw\@mparswitchtrue}%
\DeclareOption{onecolumn}{\@booleanfalse\twocolumn@sw}%
\DeclareOption{twocolumn}{\@booleantrue \twocolumn@sw}%
\@booleanfalse\twocolumn@sw
\def\select@column@grid{%
\twocolumn@sw{%
\twocolumn@grid@setup
\open@twocolumn
}{%
\onecolumn@grid@setup
}%
}%
\appdef\class@documenthook{%
\select@column@grid
}%
\appdef\setup@hook{%
\let\clearpage@ltx\clearpage
\prepdef\clear@document{\let\clearpage\clearpage@ltx\let\clear@document\@empty\close@column}%
\appdef\class@documenthook{%
\appdef\class@enddocumenthook{%
\let\clearpage\clear@document
}%
}%
}%
\DeclareOption{author-year}{\@booleantrue\authoryear@sw}%
\DeclareOption{numerical}{\@booleanfalse\authoryear@sw}%
\@booleanfalse\authoryear@sw
\DeclareOption{galley}{%
\ExecuteOptions{onecolumn}%
\@booleantrue\galley@sw
\@booleanfalse\preprintsty@sw
\appdef\setup@hook{%
\advance\textwidth-\columnsep
\textwidth.5\textwidth
}%
}%
\@booleanfalse\galley@sw
\DeclareOption{raggedbottom}{\@booleantrue\raggedcolumn@sw}
\DeclareOption{flushbottom}{\@booleanfalse\raggedcolumn@sw}
\@booleanfalse\raggedcolumn@sw
\appdef\setup@hook{%
\raggedcolumn@sw{\raggedbottom}{\flushbottom}%
}%
\DeclareOption{tightenlines}{\@booleantrue\tightenlines@sw}
\@booleanfalse\tightenlines@sw
\@booleanfalse\lengthcheck@sw
\DeclareOption{lengthcheck}{%
\@booleantrue\lengthcheck@sw
\ExecuteOptions{reprint}%
}%
\appdef\setup@hook{%
\lengthcheck@sw{\@booleantrue\tally@box@size@sw}{}%
}%
\appdef\setup@hook{%
\draft@sw{\overfullrule 5\p@}{\overfullrule\z@}%
}%
\DeclareOption{draft}{\@booleantrue\draft@sw}%
\DeclareOption{final}{\@booleanfalse\draft@sw}%
\@booleanfalse\draft@sw
\appdef\setup@hook{%
\eqsecnum@sw{%
\@addtoreset{equation}{section}%
\def\theequation@prefix{\arabic{section}.}%
}{}%
}%
\DeclareOption{eqsecnum}{\@booleantrue\eqsecnum@sw}%
\@booleanfalse\eqsecnum@sw
\appdef\setup@hook{%
\setup@secnums
}%
\DeclareOption{secnumarabic}{%
\def\setup@secnums{\secnums@arabic}%
}%
\def\setup@secnums{\secnums@rtx}%
\DeclareOption{fleqn}{%
\input{fleqn.clo}%
}%
\DeclareOption{floats}{\@booleantrue\floats@sw\@booleanfalse\floatp@sw}
\DeclareOption{endfloats}{\@booleanfalse\floats@sw\@booleanfalse\floatp@sw}
\DeclareOption{endfloats*}{\@booleanfalse\floats@sw\@booleantrue\floatp@sw}
\@booleantrue\floats@sw
\@booleantrue\floatp@sw
\DeclareOption{titlepage}{\@booleantrue\titlepage@sw}
\DeclareOption{notitlepage}{\@booleanfalse\titlepage@sw}
\@booleanfalse\titlepage@sw
\def\change@society#1{%
\def\@tempa{#1}%
\@ifxundefined\@society{%
\class@info{Selecting society \@tempa}%
\let\@society\@tempa
}{%
\@ifx{\@tempa\@society}{}{%
\class@warn{Conflicting society \@tempa<>\@society; not selected}%
}%
}%
}%
\def\change@journal#1{%
\def\@tempa{#1}%
\@ifxundefined\@journal{%
\class@info{Selecting journal \@tempa}%
\let\@journal\@tempa
}{%
\@ifx{\@tempa\@journal}{}{%
\class@warn{Conflicting journal \@tempa<>\@journal; not selected}%
}%
}%
}%
\DeclareOption{osa}{\change@society{osa}\let\@journal\@undefined}%
\DeclareOption{osameet}{\change@society{osa}\def\@journal{osameet}}%
\DeclareOption{opex}{\change@society{osa}\def\@journal{opex}}%
\DeclareOption{tops}{\change@society{osa}\def\@journal{tops}}%
\DeclareOption{josa}{\change@society{osa}\def\@journal{josa}}%
\let\rtx@require@packages\@empty
\appdef\rtx@require@packages{%
\RequirePackage[overload]{textcase}%
}%
\DeclareOption{amsfonts}{%
\def\class@amsfonts{\RequirePackage{amsfonts}}%
}%
\DeclareOption{noamsfonts}{%
\let\class@amsfonts\@empty
}%
\appdef\rtx@require@packages{%
\@ifxundefined\class@amsfonts{}{\class@amsfonts}%
}%
\DeclareOption{amssymb}{%
\def\class@amssymb{\RequirePackage{amssymb}}%
}%
\DeclareOption{noamssymb}{%
\let\class@amssymb\@empty
}%
\appdef\rtx@require@packages{%
\@ifxundefined\class@amssymb{}{\class@amssymb}%
}%
\DeclareOption{amsmath}{%
\def\class@amsmath{\RequirePackage{amsmath}[\ver@amsmath@prefer]}%
}%
\DeclareOption{noamsmath}{%
\let\class@amsmath\@empty
}%
\appdef\rtx@require@packages{%
\preserve@LaTeX
\@ifxundefined\class@amsmath{}{\class@amsmath}%
\appdef\class@enddocumenthook{\test@amsmath@ver}%
}%
\appdef\preserve@LaTeX{%
\let\@ifl@aded@LaTeX\@ifl@aded
\let\@ifpackageloaded@LaTeX\@ifpackageloaded
\let\@pkgextension@LaTeX\@pkgextension
\let\@ifpackagelater@LaTeX\@ifpackagelater
\let\@ifl@ter@LaTeX\@ifl@ter
\let\@ifl@t@r@LaTeX\@ifl@t@r
\let\@parse@version@LaTeX\@parse@version
}%
\appdef\restore@LaTeX{%
\let\@ifl@aded\@ifl@aded@LaTeX
\let\@ifpackageloaded\@ifpackageloaded@LaTeX
\let\@pkgextension\@pkgextension@LaTeX
\let\@ifpackagelater\@ifpackagelater@LaTeX
\let\@ifl@ter\@ifl@ter@LaTeX
\let\@ifl@t@r\@ifl@t@r@LaTeX
\let\@parse@version\@parse@version@LaTeX
}%
\def\test@amsmath@ver{%
\begingroup
\restore@LaTeX
\@ifpackageloaded{amsmath}{%
\@ifpackagelater{amsmath}{\ver@amsmath@prefer}{}{%
\class@warn{%
You have loaded amsmath, version "\csname ver@amsmath.sty\endcsname",\MessageBreak
but this class requires version "\ver@amsmath@prefer", or later.\MessageBreak
Please update your LaTeX installation.
}%
}%
}{%
}%
\endgroup
}%
\def\ver@amsmath@prefer{2000/01/15 v2.05 AMS math features}%
\DeclareOption{byrevtex}{\@booleantrue\byrevtex@sw}%
\@booleanfalse\byrevtex@sw
\DeclareOption{floatfix}{\@booleantrue\force@deferlist@sw}%
\DeclareOption{nofloatfix}{\@booleanfalse\force@deferlist@sw}%
\@booleanfalse\force@deferlist@sw
\gdef\@fltovf{%
\@latex@error{%
Too many unprocessed floats%
\force@deferlist@sw{}{; try class option [floatfix]}%
}\@ehb
}%
\def\@fltstk{%
\@latex@warning{%
A float is stuck (cannot be placed)%
\force@deferlist@sw{}{; try class option [floatfix]}%
}%
}%
\DeclareOption{ltxgridinfo}{%
\@booleantrue\ltxgrid@info@sw
}%
\DeclareOption{outputdebug}{%
\@booleantrue\outputdebug@sw
\@booleantrue\ltxgrid@info@sw
\@booleantrue\ltxgrid@foot@info@sw
\traceoutput
}%
\DeclareOption{raggedfooter}{\@booleanfalse\textheight@sw}%
\DeclareOption{noraggedfooter}{\@booleantrue\textheight@sw}%
\DeclareOption{frontmatterverbose}{\@booleantrue\frontmatterverbose@sw}%
\@booleanfalse\frontmatterverbose@sw
\DeclareOption{linenumbers}{%
\appdef
\class@documenthook{%
\RequirePackage{lineno}[2005/11/02 v4.41]%
\linenumbersep4pt\relax
\linenumbers\relax
}%
}%
\DeclareOption{nomerge}{%
\appdef\setup@hook{%
\@ifnum{\NAT@merge>\z@}{\let\NAT@merge\z@}{}%
}%
}%
\def\@parse@class@options@society{%
\edef\@tempa{\@ptionlist{\@currname.\@currext}}%
\expandafter\@for\expandafter\CurrentOption\expandafter:\expandafter=\@tempa\do{%
\expandafter\@ifnotrelax\csname ds@\CurrentOption\endcsname{}{%
\IfFileExists{\CurrentOption\substyle@post.\substyle@ext}{%
\expandafter\change@society\expandafter{\CurrentOption}%
\expandafter\let\csname ds@\CurrentOption\endcsname\@empty
}{}%
}%
}%
}%
\def\@parse@class@options@#1{%
\edef\@tempa{\@ptionlist{\@currname.\@currext}}%
\expandafter\@for\expandafter\CurrentOption\expandafter:\expandafter=\@tempa\do{%
\expandafter\@ifnotrelax\csname ds@\CurrentOption\endcsname{%
\begingroup\csname ds@\CurrentOption\endcsname
\@ifxundefined#1{%
\endgroup
}{%
\expandafter\endgroup\expandafter\def\expandafter#1\expandafter{#1}%
}%
}{}%
}%
}%
\def\@parse@class@options@journal{%
\edef\@tempa{\@ptionlist{\@currname.\@currext}}%
\expandafter\@for\expandafter\CurrentOption\expandafter:\expandafter=\@tempa\do{%
\expandafter\@ifnotrelax\csname ds@\CurrentOption\endcsname{%
\begingroup
\csname ds@\CurrentOption\endcsname
\@ifxundefined\@journal{%
\endgroup
}{%
\expandafter\endgroup\expandafter\def\expandafter\@journal\expandafter{\@journal}%
}%
}{}%
}%
}%
\def\@parse@class@options{%
\edef\@tempa{\@ptionlist{\@currname.\@currext}}%
\expandafter\@for\expandafter\CurrentOption\expandafter:\expandafter=\@tempa\do{%
\expandafter\@ifnotrelax\csname ds@\CurrentOption\endcsname{%
\begingroup
\csname ds@\CurrentOption\endcsname
\@ifxundefined\@pointsize{%
\endgroup
}{%
\expandafter\endgroup\expandafter\def\expandafter\@pointsize\expandafter{\@pointsize}%
}%
}{%
\IfFileExists{\CurrentOption\substyle@post.\substyle@ext}{%
\expandafter\change@society\expandafter{\CurrentOption}%
\expandafter\let\csname ds@\CurrentOption\endcsname\@empty
}{}%
}%
}%
}%
\DeclareOption{hypertext}{\hypertext@enable@ltx}%
\appdef\document@inithook{\@ifpackageloaded{hyperref}{\hypertext@enable@ltx}{}}%
\DeclareOption{frontmatterverbose}{\@booleantrue\frontmatterverbose@sw}%
\@booleanfalse\frontmatterverbose@sw
\DeclareOption{inactive}{\@booleanfalse\frontmatter@syntax@sw}%
\@booleantrue\frontmatter@syntax@sw
\@booleanfalse\runinaddress@sw
\@booleantrue\@affils@sw
\@booleanfalse\groupauthors@sw
\DeclareOption{groupedaddress}{\clo@groupedaddress}%
\def\clo@groupedaddress{%
\@booleantrue\groupauthors@sw
\@booleantrue\@affils@sw
\@booleanfalse\runinaddress@sw
}%
\DeclareOption{unsortedaddress}{\clo@unsortedaddress}%
\def\clo@unsortedaddress{%
\@booleantrue\groupauthors@sw
\@booleanfalse\@affils@sw
\@booleanfalse\runinaddress@sw
}%
\DeclareOption{runinaddress}{\clo@runinaddress}%
\def\clo@runinaddress{%
\@booleantrue\groupauthors@sw
\@booleantrue\@affils@sw
\@booleantrue\runinaddress@sw
}%
\DeclareOption{superscriptaddress}{\clo@superscriptaddress}%
\def\clo@superscriptaddress{%
\@booleanfalse\groupauthors@sw
\@booleantrue\@affils@sw
\@booleanfalse\runinaddress@sw
}%
%%% @LaTeX-file{
%%% filename = "revtex4-1.dtx",
%%% version = "4.1r",
%%% date = "2010/07/25",
%%% time = "20:33:00 UT-8",
%%% checksum = "7177",
%%% author = "Arthur Ogawa (mailto:arthur_ogawa at sbcglobal.net),
%%% commissioned by the American Physical Society.
%%% ",
%%% copyright = "Copyright (C) 1999, 2009 Arthur Ogawa,
%%% distributed under the terms of the
%%% LaTeX Project Public License, see
%%% ftp://ctan.tug.org/macros/latex/base/lppl.txt
%%% ",
%%% address = "Arthur Ogawa,
%%% USA",
%%% telephone = "",
%%% FAX = "",
%%% email = "mailto colon arthur_ogawa at sbcglobal.net",
%%% codetable = "ISO/ASCII",
%%% keywords = "latex, page grid, main vertical list",
%%% supported = "yes",
%%% abstract = "package to change page grid, MVL",
%%% docstring = "The checksum field above generated by ltxdoc",
%%% }
\def\substyle@post{4-1}%
\def\substyle@ext{rtx}%
\DeclareOption*{\OptionNotUsed}%
\def\@process@society#1{%
\@ifxundefined\@society{%
\class@warn{No Society specified, using default society #1}%
\def\@society{#1}\let\@journal\@undefined
}{}%
\expandafter\input\expandafter{\@society\substyle@post.\substyle@ext}%
}%
\def\@process@journal#1{%
\@ifxundefined\@journal{%
\class@warn{No journal specified, using default #1}%
\def\@journal{#1}%
}{}%
\expandafter\expandafter
\expandafter\rtx@do@substyle
\expandafter\expandafter
\expandafter{\expandafter\@society\@journal}%
}%
\def\rtx@do@substyle#1{%
\InputIfFileExists{#1\substyle@post.\substyle@ext}{}{\csname rtx@#1\endcsname}%
}%
\def\@process@pointsize#1{%
\@ifxundefined\@pointsize{%
\def\@pointsize{#1}%
\class@warn{No type size specified, using default \@pointsize}%
}{}%
\expandafter\expandafter
\expandafter\rtx@do@substyle
\expandafter\expandafter
\expandafter{\expandafter\@society\@pointsize pt}%
}%
\def\ps@headings{%
\let\@oddfoot\@empty\let\@evenfoot\@empty
\def\@evenhead{\thepage\hfil\slshape\leftmark}%
\def\@oddhead{{\slshape\rightmark}\hfil\thepage}%
\let\@mkboth\markboth
\def\sectionmark##1{%
\markboth {\MakeUppercase{%
\ifnum \c@secnumdepth >\z@
\thesection\quad
\fi
##1}}{}}%
\def\subsectionmark##1{%
\markright {%
\ifnum \c@secnumdepth >\@ne
\thesubsection\quad
\fi
##1}}}%
\def\ps@myheadings{%
\let\@oddfoot\@empty\let\@evenfoot\@empty
\def\@evenhead{\thepage\hfil\slshape\leftmark}%
\def\@oddhead{{\slshape\rightmark}\hfil\thepage}%
\let\@mkboth\@gobbletwo
\let\sectionmark\@gobble
\let\subsectionmark\@gobble
}%
\def\ps@article{%
\def\@evenhead{\let\\\heading@cr\thepage\quad\checkindate\hfil{\leftmark}}%
\def\@oddhead{\let\\\heading@cr{\rightmark}\hfil\checkindate\quad\thepage}%
\def\@oddfoot{}%
\def\@evenfoot{}%
\let\@mkboth\markboth
\let\sectionmark\@gobble
\let\subsectionmark\@gobble
}%
\def\ps@article@final{%
\def\@evenhead{\let\\\heading@cr\thepage\quad\checkindate\hfil{\leftmark}}%
\def\@oddhead{\let\\\heading@cr{\rightmark}\hfil\checkindate\quad\thepage}%
\def\@oddfoot{}%
\def\@evenfoot{}%
\let\@mkboth\markboth
\def\sectionmark##1{%
\markboth{%
\MakeTextUppercase{%
\@ifnum{\c@secnumdepth >\z@}{\thesection\hskip 1em\relax}{}%
##1%
}%
}{}%
}%
\def\subsectionmark##1{%
\markright {%
\@ifnum{\c@secnumdepth >\@ne}{\thesubsection\hskip 1em\relax}{}%
##1%
}%
}%
}%
\def\heading@cr{\unskip\space\ignorespaces}%
\def\ps@preprint{%
\def\@oddfoot{\hfil\thepage\quad\checkindate\hfil}%
\def\@evenfoot{\hfil\thepage\quad\checkindate\hfil}%
\def\@oddhead{}%
\def\@evenhead{}%
\let\@mkboth\@gobbletwo
\let\sectionmark\@gobble
\let\subsectionmark\@gobble
}%
\let\@oddhead\@empty
\let\@evenhead\@empty
\let\@oddfoot\@empty
\let\@evenfoot\@empty
\def\lastpage@putlabel{%
\if@filesw
\begingroup
\advance\c@page\m@ne
\immediate\write\@auxout{\string\newlabel{LastPage}{{}{\thepage}{}{}{}}}%
\endgroup
\fi
}%
\appdef\clear@document{%
\do@output@cclv{%
\lastpage@putlabel
\tally@box@size@sw{\total@text}{}%
}%
}%
\providecommand\write@column@totals{}%
\appdef\rtx@require@packages{%
\RequirePackage{url}%
}%
\appdef\document@inithook{%
\incompatible@package{cite}%
\incompatible@package{mcite}%
\incompatible@package{multicol}%
}%
\def\labelenumi{\theenumi.}
\def\theenumi{\arabic{enumi}}
\def\labelenumii{(\theenumii)}
\def\theenumii{\alph{enumii}}
\def\p@enumii{\theenumi}
\def\labelenumiii{\theenumiii.}
\def\theenumiii{\roman{enumiii}}
\def\p@enumiii{\theenumi(\theenumii)}
\def\labelenumiv{\theenumiv.}
\def\theenumiv{\Alph{enumiv}}
\def\p@enumiv{\p@enumiii\theenumiii}
\def\labelitemi{\textbullet}
\def\labelitemii{\normalfont\bfseries\textendash}
\def\labelitemiii{\textasteriskcentered}
\def\labelitemiv{\textperiodcentered}
\pagenumbering{arabic}
\setcounter{topnumber}{2}
\def\topfraction{.9}
\setcounter{bottomnumber}{1}
\def\bottomfraction{.9}
\setcounter{totalnumber}{3}
\def\textfraction{.1}
\def\floatpagefraction{.9}
\setcounter{dbltopnumber}{2}
\def\dbltopfraction{.9}
\def\dblfloatpagefraction{.9}
\newenvironment{verse}{%
\let\\=\@centercr
\list{}{%
\itemsep\z@ \itemindent -1.5em\listparindent \itemindent
\rightmargin\leftmargin\advance\leftmargin 1.5em}\item[]%
}{%
\endlist
}%
\newenvironment{quotation}{%
\list{}{%
\listparindent 1.5em
\itemindent\listparindent
\rightmargin\leftmargin \parsep \z@ \@plus\p@}\item[]%
}{%
\endlist
}%
\newenvironment{quote}{%
\list{}{%
\rightmargin\leftmargin}\item[]%
}{%
\endlist
}%
\def\descriptionlabel#1{%
\hspace\labelsep \normalfont\bfseries #1\unskip:%
}%
\newenvironment{description}{%
\list{}{%
\labelwidth\z@ \itemindent-\leftmargin
\let\makelabel\descriptionlabel
}%
}{%
\endlist
}%
\newcounter{part}%
\let\thepart\@undefined
\newcounter{section}%
\let\thesection\@undefined
\newcounter{subsection}[section]%
\let\thesubsection\@undefined
\newcounter{subsubsection}[subsection]%
\let\thesubsubsection\@undefined
\newcounter{paragraph}[subsubsection]%
\let\theparagraph\@undefined
\newcounter{subparagraph}[paragraph]%
\let\thesubparagraph\@undefined
\def\secnums@rtx{%
\@ifxundefined\thepart{%
\def\thepart{\Roman{part}}%
}{}%
\@ifxundefined\thesection{%
\def\thesection {\Roman{section}}%
\def\p@section {}%
}{}%
\@ifxundefined\thesubsection{%
\def\thesubsection {\Alph{subsection}}%
\def\p@subsection {\thesection\,}%
}{}%
\@ifxundefined\thesubsubsection{%
\def\thesubsubsection {\arabic{subsubsection}}%
\def\p@subsubsection {\thesection\,\thesubsection\,}%
}{}%
\@ifxundefined\theparagraph{%
\def\theparagraph {\alph{paragraph}}%
\def\p@paragraph {\thesection\,\thesubsection\,\thesubsubsection\,}%
}{}%
\@ifxundefined\thesubparagraph{%
\def\thesubparagraph {\arabic{subparagraph}}%
\def\p@subparagraph {\thesection\,\thesubsection\,\thesubsubsection\,\theparagraph\,}%
}{}%
}%
\def\secnums@arabic{%
\@ifxundefined\thepart{%
\def\thepart {\Roman{part}}%
}{}%
\@ifxundefined\thesection{%
\def\thesection {\Roman{section}}%
\def\p@section {}%
}{}%
\@ifxundefined\thesubsection{%
\def\thesubsection {\thesection.\arabic{subsection}}%
\def\p@subsection {}%
}{}%
\@ifxundefined\thesubsubsection{%
\def\thesubsubsection {\thesubsection.\arabic{subsubsection}}%
\def\p@subsubsection {}%
}{}%
\@ifxundefined\theparagraph{%
\def\theparagraph {\thesubsubsection.\arabic{paragraph}}%
\def\p@paragraph {}%
}{}%
\@ifxundefined\thesubparagraph{%
\def\thesubparagraph {\theparagraph.\arabic{subparagraph}}%
\def\p@subparagraph {}%
}{}%
}%
\newenvironment{acknowledgments}{%
\acknowledgments@sw{%
\expandafter\section\expandafter*\expandafter{\acknowledgmentsname}%
}{%
\par
\phantomsection
\addcontentsline{toc}{section}{\protect\numberline{}\acknowledgmentsname}%
}%
}{%
\par
}%
\@booleantrue\acknowledgments@sw
\newenvironment{acknowledgements}{%
\replace@environment{acknowledgements}{acknowledgments}%
}{%
\endacknowledgments
}%
\def\part{\par
\addvspace{4ex}%
\@afterindentfalse
\secdef\@part\@spart}%
\def\@part[#1]#2{%
\@ifnum{\c@secnumdepth >\m@ne}{%
\refstepcounter{part}%
\addcontentsline{toc}{part}{\thepart\hspace{1em}#1}%
}{%
\addcontentsline{toc}{part}{#1}%
}%
\begingroup
\parindent \z@ \raggedright
\interlinepenalty\@M
\@ifnum{\c@secnumdepth >\m@ne}{%
\Large \bf \partname~\thepart%
\par\nobreak
}{}%
\huge \bf
#2%
\markboth{}{}\par
\endgroup
\nobreak
\vskip 3ex
\@afterheading
}%
\def\@spart#1{{\parindent \z@ \raggedright
\interlinepenalty\@M
\huge \bf
#1\par}
\nobreak
\vskip 3ex
\@afterheading}
\def\section{%
\@startsection
{section}%
{1}%
{\z@}%
{0.8cm \@plus1ex \@minus .2ex}%
{0.5cm}%
{\normalfont\small\bfseries}%
}%
\def\subsection{%
\@startsection
{subsection}%
{2}%
{\z@}%
{.8cm \@plus1ex \@minus .2ex}%
{.5cm}%
{\normalfont\small\bfseries}%
}%
\def\subsubsection{%
\@startsection
{subsubsection}%
{3}%
{\z@}%
{.8cm \@plus1ex \@minus .2ex}%
{.5cm}%
{\normalfont\small\itshape}%
}%
\def\paragraph{%
\@startsection
{paragraph}%
{4}%
{\parindent}%
{\z@}%
{-1em}%
{\normalfont\normalsize\itshape}%
}%
\def\subparagraph{%
\@startsection
{subparagraph}%
{5}%
{\parindent}%
{3.25ex \@plus1ex \@minus .2ex}%
{-1em}%
{\normalfont\normalsize\bfseries}%
}%
\def\theequation{%
\theequation@prefix\arabic{equation}%
}%
\def\theequation@prefix{}%
\setcounter{secnumdepth}{4}
\lineskip 1pt
\normallineskip 1pt
\def\baselinestretch{1}%
\@lowpenalty 51
\@medpenalty 151
\@highpenalty 301
\@beginparpenalty -\@lowpenalty
\@endparpenalty -\@lowpenalty
\@itempenalty -\@lowpenalty
\arraycolsep 3pt
\tabcolsep 2pt
\arrayrulewidth .4pt
\doublerulesep 2pt
\skip\@mpfootins = 0pt
\fboxsep = 3.0pt
\fboxrule = 0.4pt
\newenvironment{figure}
{\@float{figure}}
{\end@float}
\newenvironment{figure*}
{\@dblfloat{figure}}
{\end@dblfloat}
\def\listoffigures{\print@toc{lof}}%
\def\l@figure{\@dottedtocline{1}{1.5em}{2.3em}}%
\newlength\abovecaptionskip
\newlength\belowcaptionskip
\setlength\abovecaptionskip{10\p@}
\setlength\belowcaptionskip{2\p@}
\long\def\@makecaption#1#2{%
\par
\vskip\abovecaptionskip
\begingroup
\small\rmfamily
\sbox\@tempboxa{%
\let\\\heading@cr
\@make@capt@title{#1}{#2}%
}%
\@ifdim{\wd\@tempboxa >\hsize}{%
\begingroup
\samepage
\flushing
\let\footnote\@footnotemark@gobble
\@make@capt@title{#1}{#2}\par
\endgroup
}{%
\global \@minipagefalse
\hb@xt@\hsize{\hfil\unhbox\@tempboxa\hfil}%
}%
\endgroup
\vskip\belowcaptionskip
}%
\def\@make@capt@title#1#2{%
\@ifx@empty\float@link{\@firstofone}{\expandafter\href\expandafter{\float@link}}%
{#1}\@caption@fignum@sep#2%
}%
\def\@footnotemark@gobble{%
\@footnotemark
\@ifnextchar[{\@gobble@opt@i}{\@gobble}%
}%
\def\@gobble@opt@i[#1]#2{}%
\def\@mpmakefntext#1{%
\flushing
\parindent=1em
\noindent
\hb@xt@1em{\hss\@makefnmark}%
#1%
}%
\def\@caption@fignum@sep{. }%
\def\setfloatlink{\def\float@link}%
\let\float@link\@empty
\newcounter{figure}
\renewcommand \thefigure {\@arabic\c@figure}
\def\fps@figure{tbp}
\def\ftype@figure{1}
\def\ext@figure{lof}
\def\fnum@figure{\figurename~\thefigure}
\expandafter\newbox\csname fbox@\ftype@figure\endcsname
\expandafter\setbox\csname fbox@\ftype@figure\endcsname\hbox{}%
\appdef\class@documenthook{%
\do@if@floats{figure}{.fgx}%
}%
\appdef\class@enddocumenthook{%
\printfigures\relax
}%
\newcommand\printfigures{%
\@ifstar{\true@sw}{\floatp@sw{\true@sw}{\false@sw}}%
{%
\print@float{figure}{\oneapage}%
}{%
\print@float{figure}{}%
}%
}%
\appdef\@xfloat@prep{%
\appdef\@parboxrestore{\centering}%
}%
\newenvironment{table}
{\@float{table}}
{\end@float}
\newenvironment{table*}
{\@dblfloat{table}}
{\end@dblfloat}
\newcounter{table}
\renewcommand\thetable{\@Roman\c@table}
\def\fps@table{tbp}
\def\ftype@table{2}
\def\ext@table{lot}
\def\fnum@table{\tablename~\thetable}
\expandafter\newbox\csname fbox@\ftype@table\endcsname
\expandafter\setbox\csname fbox@\ftype@table\endcsname\hbox{}%
\def\listoftables{\print@toc{lot}}%
\let\l@table\l@figure
\def\table@hook{\small}%
\def\squeezetable{\def\table@hook{\scriptsize}}%
\appdef\@floatboxreset{\table@hook}%
\def\set@table@environments{%
\floats@sw{}{%
\let@environment{longtable@float}{longtable}%
\let@environment{longtable}{longtable@write}%
\let@environment{longtable*@float}{longtable*}%
\let@environment{longtable*}{longtable*@write}%
\let@environment{turnpage@float}{turnpage}%
\let@environment{turnpage}{turnpage@write}%
}%
\do@if@floats{table}{.tbx}%
}%
\appdef\document@inithook{%
\set@table@environments
}%
\appdef\class@enddocumenthook{%
\printtables\relax
}%
\newenvironment{longtable@write}{%
\write@@float{longtable}{table}%
}{%
\endwrite@float
}%
\newenvironment{longtable*@write}{%
\write@@float{longtable*}{table}%
}{%
\endwrite@float
}%
\newenvironment{turnpage@write}{%
\immediate\write\tablewrite{\string\begin{turnpage}}%
}{%
\immediate\write\tablewrite{\string\end{turnpage}}%
}%
\newcommand\printtables{%
\begingroup
\let@environment{longtable}{longtable@float}%
\let@environment{longtable*}{longtable*@float}%
\let@environment{turnpage}{turnpage@anchored}%
\prepdef\longtable{\trigger@float@par}%
\expandafter\prepdef\csname longtable*\endcsname{\trigger@float@par}%
\expandafter\prepdef\csname table@floats\endcsname{%
\onecolumngrid@push
}%
\expandafter\appdef\csname endtable@floats\endcsname{%
\onecolumngrid@pop
}%
\@ifstar{\true@sw}{\floatp@sw{\true@sw}{\false@sw}}%
{%
\print@float{table}{\oneapage}%
}{%
\print@float{table}{}%
}%
\endgroup
}%
\newenvironment{turnpage@anchored}{%
\onecolumngrid@push
\setbox\z@\vbox to\textwidth\bgroup
\columnwidth\textheight
}{%
\vfil
\egroup
\rotatebox{90}{\box\z@}%
\onecolumngrid@pop
}%
\newenvironment{video}
{\@float{video}}
{\end@float}%
\newenvironment{video*}
{\@dblfloat{video}}
{\end@dblfloat}%
\newcounter{video}
\renewcommand \thevideo {\@arabic\c@video}
\def\ext@video{lov}%
\def\fname@video{Video}%
\def\lovname{List of Videos}%
\def\fps@video{tbp}%
\def\ftype@video{4}%
\def\fnum@video{\fname@video~\thevideo}%
\appdef\document@inithook{%
\@ifxundefined\c@float@type{}{%
\global\setcounter{float@type}{8}%
}%
}%
\expandafter\newbox\csname fbox@\ftype@video\endcsname
\expandafter\setbox\csname fbox@\ftype@video\endcsname\hbox{}%
\let\theHvideo\thevideo
\def\listofvideos{\print@toc{lov}}%
\let\l@video\l@figure
\appdef\class@documenthook{%
\do@if@floats{video}{.vdx}%
}%
\appdef\class@enddocumenthook{%
\printvideos\relax
}%
\newcommand\printvideos{%
\@ifstar{\true@sw}{\floatp@sw{\true@sw}{\false@sw}}%
{%
\print@float{video}{\oneapage}%
}{%
\print@float{video}{}%
}%
}%
\def\endtabular@hook{}%
\appdef\document@inithook{%
\@ifpackageloaded{dcolumn}{%
\expandafter\@ifnotrelax\csname NC@find@d\endcsname{}{%
\newcolumntype{d}{D{.}{.}{-1}}%
}%
}{}%
}%
\def\toprule{\hline\hline}%
\def\colrule{\hline}%
\def\botrule{\hline\hline}%
\newenvironment{ruledtabular}{%
\def\array@default{v}%
\appdef\tabular@hook{\def\@halignto{to\hsize}}%
\let\tableft@skip@default\tableft@skip
\let\tableft@skip\tableft@skip@float
\let\tabmid@skip@default\tabmid@skip
\let\tabmid@skip\tabmid@skip@float
\let\tabright@skip@default\tabright@skip
\let\tabright@skip\tabright@skip@float
\let\array@row@pre@default\array@row@pre
\let\array@row@pre\array@row@pre@float
\let\array@row@pst@default\array@row@pst
\let\array@row@pst\array@row@pst@float
\appdef\array@row@rst{%
\let\array@row@pre\array@row@pre@default
\let\array@row@pst\array@row@pst@default
\let\tableft@skip\tableft@skip@default
\let\tabmid@skip\tabmid@skip@default
\let\tabright@skip\tabright@skip@default
\appdef\tabular@hook{\let\@halignto\@empty}%
}%
}{%
}%
\def\@makefntext#1{%
\def\baselinestretch{1}%
\parindent1em%
\noindent
\hb@xt@1.8em{%
\hss\@makefnmark
}%
#1%
\par
}%
\def\@makefnmark{%
\hbox{%
\@textsuperscript{%
\normalfont\@thefnmark
}%
}%
}%
\expandafter\DeclareRobustCommand
\expandafter\rev@citet
\expandafter{%
\expandafter\begingroup
\expandafter\rtx@swap@citea
\expandafter\g@bblefirsttoken
\csname citet \endcsname
}%
\expandafter\DeclareRobustCommand
\expandafter\rev@citealp
\expandafter{%
\expandafter\begingroup
\expandafter\rtx@swap@citea
\expandafter\g@bblefirsttoken
\csname citealp \endcsname
}%
\expandafter\DeclareRobustCommand
\expandafter\rev@citealpnum
\expandafter{%
\expandafter\begingroup
\expandafter\rtx@swap@citenum
\expandafter\g@bblefirsttoken
\csname citealp \endcsname
}%
\def\rtx@swap@citenum{%
\rtx@swap@citea
\let\@cite\NAT@citenum
\let\NAT@mbox\mbox
\let\citeyear\NAT@citeyear
\let\NAT@space\NAT@spacechar
}%
\def\g@bblefirsttoken{%
\expandafter\true@sw
\expandafter\@empty
}%
\newcommand\rtx@citesuper[3]{%
\ifNAT@swa
\leavevmode
\unskip
\textsuperscript{\normalfont#1}%
\if*#3*\else\ (#3)\fi
\else
#1%
\fi
\endgroup
}%
\def\@makefnmark@cite{\begingroup\NAT@swatrue\@cite{{\@thefnmark}}{}{}}%
\def\rtx@bibsection{%
\@ifx@empty\refname{%
\par
}{%
\expandafter\section\expandafter*\expandafter{\refname}%
\@nobreaktrue
}%
}%
\def\rtx@swap@citea{%
\let\NAT@def@citea\rtx@def@citea
\let\NAT@def@citea@close\rtx@def@citea@close
\let\NAT@def@citea@box\rtx@def@citea@box
}%
\def\rtx@def@citea{%
\def\@citea{\NAT@separator\NAT@space}%
\advance\c@NAT@ctr\@ne
\@ifnum{\count@>\tw@}{%
\@ifnum{\c@NAT@ctr=\count@}{\appdef\@citea{\NAT@conj\NAT@space}}{}%
}{%
\def\@citea{\NAT@space\NAT@conj\NAT@space}%
}%
}%
\def\rtx@def@citea@close{%
\rtx@def@citea
\prepdef\@citea{\NAT@@close}%
}%
\def\rtx@def@citea@box{%
\rtx@def@citea@close
\expandafter\def\expandafter\@citea\expandafter{\expandafter\NAT@mbox\expandafter{\@citea}}%
}%
\def\NAT@conj{and}%
\def\NAT@BibitemShut#1{%
\def\@bibstop{#1}%
\let\bibitem@Stop\bibitemStop
\let\bibitem@NoStop\bibitemNoStop
\@ifx{\bibitemShut\relax}{\let\@bibitemShut\@empty}{%
\expandafter\def\expandafter\@bibitemShut\expandafter{\bibitemShut}%
}%
}%
\def\BibitemShut@ltx#1{%
\unskip
\def\@bibstop{#1}%
\let\bibitem@Stop\bibitemStop
\let\bibitem@NoStop\bibitemNoStop
\@ifx{\bibitemShut\relax}{\let\@bibitemShut\@empty}{%
\expandafter\def\expandafter\@bibitemShut\expandafter{\bibitemShut}%
}%
}%
\newenvironment{thebibliography}{}{}%
\let\@listi\@empty
\appdef\rtx@require@packages{%
\RequirePackage[sort&compress]{natbib}[2009/11/07 8.31a (PWD, AO)]%
\let@environment{NAT@thebibliography}{thebibliography}%
\let@environment{thebibliography}{rtx@thebibliography}%
\let\bibliographystyle@latex\bibliographystyle
\let\NAT@citesuper\rtx@citesuper
\let\bibsection\rtx@bibsection
\let\NATx@bibsetnum\NAT@bibsetnum
\def\NAT@bibsetnum#1{%
\setlength{\topsep}{\z@}%
\NATx@bibsetnum{\ref{LastBibItem}}%
}%
\let\NATx@bibsetup\NAT@bibsetup
\def\NAT@bibsetup{%
\setlength{\labelwidth}{\z@}%
\setlength{\labelsep}{\z@}%
\setlength{\itemindent}{\z@}%
\setlength{\listparindent}{\z@}%
\setlength{\topsep}{\z@}%
\setlength{\parsep}{\z@}%
\NATx@bibsetup
}%
\let\bibpreamble\@empty
\def\newblock{\ }%
\let\NATx@bibnumfmt\bibnumfmt
\def\bibnumfmt{\place@bibnumber}%
\let\NAT@merge\thr@@
\let\NAT@citeyear\citeyear
\let\onlinecite\rev@citealp
\let\textcite\rev@citet
\@ifx{\BibitemShut\NAT@BibitemShut}{%
\class@info{Repairing natbib's \string\BibitemShut}%
\let\BibitemShut\BibitemShut@ltx
}{}%
\let\bibliographystyle@latex\bibliographystyle
\def\bibliographystyle{\@booleantrue\bibliographystyle@sw\def\@bibstyle}%
\@booleanfalse\bibliographystyle@sw
\def\NAT@bibitem@cont{%
\let\bibitem@Stop\bibitemContinue@Stop
\let\bibitem@NoStop\bibitemContinue
}%
\def\bibitemNoStop{%
\@ifx@empty\@bibitemShut{.\spacefactor\@mmm\space}{\@bibitemShut}%
}%
\def\bibitemContinue{%
\@ifx@empty\@bibitemShut{;\spacefactor\@mmm\space}{\@bibitemShut}%
}%
\def\bibitemContinue@Stop{%
\@ifx@empty\@bibitemShut{\spacefactor\@mmm\space}{\@bibitemShut}%
}%
}%
\DeclareRobustCommand\onlinecite{\@onlinecite}%
\DeclareRobustCommand\textcite{\@textcite}%
\let\bibliography@latex\bibliography
\def\bibliography#1{%
\auto@bib@empty
\begingroup
\let\auto@bib@innerbib\@empty
\@ifx@empty{\pre@bibdata}{%
\bibliography@latex{#1}%
}{%
\@if@empty{#1}{%
\expandafter\bibliography@latex\expandafter{\pre@bibdata}%
}{%
\expandafter\bibliography@latex\expandafter{\pre@bibdata,#1}%
}%
}%
\endgroup
}%
\let\pre@bibdata\@empty
\newenvironment{rtx@thebibliography}[1]{%
\NAT@thebibliography{#1}%
\let\@TBN@opr\present@bibnote
\@FMN@list
}{%
\auto@bib@innerbib
\edef\@currentlabel{\arabic{NAT@ctr}}%
\label{LastBibItem}%
\endNAT@thebibliography
\aftergroup\auto@bib@empty
}%
\def\present@bibnote#1#2{%
\item[%
\textsuperscript{%
\normalfont
\Hy@raisedlink{\hyper@anchorstart{frontmatter.#1}\hyper@anchorend}%
\begingroup
\csname c@\@mpfn\endcsname#1\relax
\frontmatter@thefootnote
\endgroup
}%
]#2\par
}%
\def\write@bibliographystyle{%
\@ifxundefined\@bibstyle{}{%
\expandafter\bibliographystyle@latex\expandafter{\@bibstyle}%
\bibliographystyle@sw{}{\@bibdataout@rev}%
}%
\global\let\write@bibliographystyle\relax
}%
\AtEndDocument{\write@bibliographystyle}%
\def\rtx@@citetp[#1]{\@ifnextchar[{\rtx@citex[#1]}{\rtx@citex[][#1]}}%
\def\rtx@citex[#1][#2]#3{%
\begingroup
\def\@tempa{[#1][#2]{#3}}%
\@ifx{\@cite\NAT@citesuper}{%
\leavevmode
\skip@\lastskip
\unskip
\super@cite@let
}{%
\super@cite@end
}%
}%
\def\super@cite@let{%
\futurelet\@let@token\super@cite@check
}%
\def\super@cite@end{%
\aftergroup\@citex\expandafter\endgroup\@tempa
}%
\def\super@cite@check{%
\@ifx{\@let@token\@sptoken}{%
\super@cite@end
}{%
\super@cite@swap
}%
}%
\long\def\super@cite@swap#1{%
\expandafter\@ifx\expandafter{\csname rtx@automove#1\endcsname\@empty}{%
#1%
\super@cite@let
}{%
\super@cite@end
#1%
}%
}%
\expandafter\let\csname rtx@automove.\endcsname\@empty
\expandafter\let\csname rtx@automove,\endcsname\@empty
\expandafter\let\csname rtx@automove:\endcsname\@empty
\expandafter\let\csname rtx@automove;\endcsname\@empty
\appdef\class@documenthook{%
\citeautoscript@sw{%
\@ifx{\@cite\NAT@citesuper}{%
\let\NAT@@citetp\rtx@@citetp
}{}%
}{}%
}%
\def\mini@note{\save@note\mini@notes}%Implicit #2
\def\save@note#1#2{%
\stepcounter\@mpfn
\protected@xdef\@thefnmark{\thempfn}%
\@footnotemark
\expandafter\g@addto@macro
\expandafter#1%
\expandafter{%
\expandafter \@@footnotetext
\expandafter {\@thefnmark}{#2}%
}%
}%
\long\def\@@footnotetext#1{\def\@thefnmark{#1}\@footnotetext}%
\let\mini@notes\@empty
\def\rev@citemark#1{%
\expandafter\cite\expandafter{\@thefnmark}%
}%
\def\rev@endtext#1{%
\let\@endnotelabel\@thefnmark
\@endnotetext
}%
\def\endnote@ext{.end}%
\def\bibdata@app{Notes}%
\def\bibdata@ext{bib}%
\long\def\@endnotetext#1{%
\begingroup
\endnote@relax
\immediate\write\@bibdataout{%
@FOOTNOTE{%
\@endnotelabel,%
key="\@endnotelabel",%
note="#1"%
}%
}%
\endgroup
}%
\newwrite\@bibdataout
\def\endnote@relax{%
\let\label\relax \let\index\relax \let\glossary\relax
\let\cite \relax \let\ref \relax \let\pageref \relax
\let\( \relax \let\) \relax \let\\ \relax
\let~\relax
\let \protect \@unexpandable@protect
\newlinechar`\^^M%
\let\begin\relax \let\end\relax
}%
\appdef\class@documenthook{\@bibdataout@init}%
\def\@bibdataout@init{%
\immediate\openout\@bibdataout\pre@bibdata.\bibdata@ext\relax
}%
\def\@bibdataout@rev{%
\immediate\write\@bibdataout{%
@CONTROL{%
REVTEX41Control%
\eprint@enable@sw{}{,eprint=""}%
}%
}%
\if@filesw
\immediate\write\@auxout{\string\citation{REVTEX41Control}}%
\fi
}%
\def\printendnotes{%
\class@warn{The \string\printendnotes\space command no longer serves any function. Please remove it from your document.}%
}%
\def\make@footnote@endnote{%
\footinbib@sw{%
\authoryear@sw{}{%
\ltx@footnote@push
\def\thempfn{Note\thefootnote}%
\let\ltx@footmark\rev@citemark
\let\ltx@foottext\rev@endtext
}%
}{}%
}%
\def\ltx@footnote@push{%
\let\ltx@footmark@latex\ltx@footmark
\let\ltx@foottext@latex\ltx@foottext
\let\thempfn@latex\thempfn
\def\ltx@footnote@pop{%
\let\ltx@footmark\ltx@footmark@latex
\let\ltx@foottext\ltx@foottext@latex
\let\thempfn\thempfn@latex
}%
}%
\appdef\class@documenthook{%
\make@footnote@endnote
}%
\def\auto@bib{%
\@ifx@empty\@FMN@list{%
\footinbib@sw{%
\@ifnum{\csname c@\@mpfn\endcsname>\z@}{%
\true@sw
}{%
\test@bbl@sw
}%
}{%
\test@bbl@sw
}%
}{%
\true@sw
}%
{%
\bibliography{}%
}{}%
}%
\def\auto@bib@empty{%
\let\auto@bib\@empty
}%
\def\test@bbl@sw{%
\setbox\z@\vbox\bgroup
\let\providecommand\providecommand@j@nk
\let\bibfield\@gobbletwo
\let\bibinfo\@gobbletwo
\let\translation\@gobble
\let\BibitemOpen\@empty
\let\bibitemStop\@empty
\let\bibitemNoStop\@empty
\let\EOS\@empty
\let\BibitemShut\@gobble
\let\bibAnnoteFile\@gobbletwo
\let\bibAnnote\@gobblethree
\let\textbf\@gobble
\let\emph\@gobble
\@booleanfalse\bibitem@sw
\let\bibitem\bibitem@set
\auto@bib@innerbib
\bibitem@sw{\aftergroup\true@sw}{\aftergroup\false@sw}%
\egroup
}%
\newcommand\bibitem@set[1][]{%
\bibitem@sw{}{%
\@booleantrue\bibitem@sw
\aftergroup\@booleantrue\aftergroup\bibitem@sw
}%
}%
\def\auto@bib@innerbib{%
\begingroup
\let@environment{thebibliography}{thebibliography@nogroup}%
\bibliography{}%
\endgroup
}%
\def\thebibliography@nogroup#1{%
\endgroup
\def\@currenvir{thebibliography}%
}%
\def\endthebibliography@nogroup{\begingroup}%
\long\def \@gobblethree #1#2#3{}%
\def\providecommand@j@nk#1[#2]{%
\@ifnum{#2=\z@}{\def\j@nk}{%
\@ifnum{#2=\@ne}{\def\j@nk##1}{%
\@ifnum{#2=\tw@}{\def\j@nk##1##2}{%
\@ifnum{#2=\thr@@}{\def\j@nk##1##2##3}{%
}%
}%
}%
}%
}%
\def\thepage{\@arabic\c@page}%
\appdef\setup@hook{%
\tabbingsep \labelsep
\leftmargin\leftmargini
\labelwidth\leftmargin\advance\labelwidth-\labelsep
\let\@listi\@listI
\@listi
}%
\appdef\class@documenthook{%
\global\c@page\@ne
\def\curr@envir{document}%
\mark@envir{\curr@envir}%
}%
\def\open@onecolumn{%
\open@column@one\@ne
\set@colht
\@floatplacement
\@dblfloatplacement
}%
\def\open@twocolumn{%
\open@column@mlt\tw@
\set@colht
\@floatplacement
\@dblfloatplacement
\sloppy
\let\set@listindent\set@listindent@
}%
\def\appendix{%
\par
\setcounter{section}\z@
\setcounter{subsection}\z@
\setcounter{subsubsection}\z@
\def\thesubsection{\arabic{subsection}}%
\def\thesubsubsection{\alph{subsubsection}}%
\@addtoreset{equation}{section}%
\def\theequation@prefix{\thesection}%
\addtocontents{toc}{\protect\appendix}%
\@ifstar{%
\def\thesection{\unskip}%
\def\theequation@prefix{A.}%
}{%
\def\thesection{\Alph{section}}%
}%
}%
\def\title@column#1{%
\minipagefootnote@init
#1%
\minipagefootnote@foot
}%
\def\close@column{%
\newpage
}%
\def\galley@outdent{\rightmargin-\columnwidth\advance\rightmargin-\columnsep}%
\let\widetext@outdent\@empty
\newenvironment{widetext@galley}{%
\list{}{%
\topsep \z@skip
\listparindent \parindent
\itemindent \parindent
\leftmargin \z@
\parsep \z@\@plus\p@
\widetext@outdent
\relax
}%
\item\relax
}{
\endlist
}%
\def\title@column@grid#1{%
\minipagefootnote@init
\onecolumngrid
\begingroup
\let\@footnotetext\frontmatter@footnotetext
\ltx@no@footnote
#1%
\endgroup
\twocolumngrid
\minipagefootnote@foot
}%
\def\close@column@grid{%
\balancelastpage@sw{%
\onecolumngrid
}{}%
}%
\newenvironment{widetext@grid}{%
\par\ignorespaces
\setbox\widetext@top\vbox{%
\hb@xt@\hsize{%
\leaders\hrule\hfil
\vrule\@height6\p@
}%
}%
\setbox\widetext@bot\hb@xt@\hsize{%
\vrule\@depth6\p@
\leaders\hrule\hfil
}%
\onecolumngrid
\vskip10\p@
\dimen@\ht\widetext@top\advance\dimen@\dp\widetext@top
\cleaders\box\widetext@top\vskip\dimen@
\vskip6\p@
\prep@math@patch
}{%
\par
\vskip6\p@
\setbox\widetext@bot\vbox{%
\hb@xt@\hsize{\hfil\box\widetext@bot}%
}%
\dimen@\ht\widetext@bot\advance\dimen@\dp\widetext@bot
\cleaders\box\widetext@bot\vskip\dimen@
\vskip8.5\p@
\twocolumngrid\global\@ignoretrue
\@endpetrue
}%
\newbox\widetext@top
\newbox\widetext@bot
\def\set@page@grid{%
\twocolumn@sw{%
\let\set@footnotewidth\set@footnotewidth@two
\let\compose@footnotes\compose@footnotes@two
\let@environment{widetext}{widetext@grid}%
\let\title@column\title@column@grid
\let\close@column\close@column@grid
}{%
\let@environment{widetext}{widetext@galley}%
\preprintsty@sw{%
}{%
\galley@sw{%
\let\widetext@outdent\galley@outdent
}{}%
}%
}%
}%
\appdef\setup@hook{\set@page@grid}%
\DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm}
\DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf}
\DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt}
\DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf}
\DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit}
\DeclareOldFontCommand{\sl}{\normalfont\slshape}{\@nomath\sl}
\DeclareOldFontCommand{\sc}{\normalfont\scshape}{\@nomath\sc}
\DeclareRobustCommand*\cal{\@fontswitch\relax\mathcal}
\DeclareRobustCommand*\mit{\@fontswitch\relax\mathnormal}
\def\today{\ifcase\month\or
January\or February\or March\or April\or May\or June\or
July\or August\or September\or October\or November\or December\fi
\space\number\day, \number\year}
\def\partname{Part}
\def\tocname{Contents}
\def\lofname{List of Figures}
\def\lotname{List of Tables}
\def\refname{References}
\def\indexname{Index}
\def\figurename{FIG.}
\def\figuresname{Figures}%
\def\tablename{TABLE}
\def\tablesname{Tables}%
\def\abstractname{Abstract}
\def\appendixesname{Appendixes}%
\def\appendixname{Appendix}%
\def\acknowledgmentsname{Acknowledgments}
\def\journalname{??}
\def\copyrightname{??}
\def\andname{and}
\def\@pacs@name{PACS numbers: }%
\def\@keys@name{Keywords: }%
\def\ppname{pp}
\def\numbername{number}
\def\volumename{volume}
\def\Dated@name{Dated: }%
\def\Received@name{Received }%
\def\Revised@name{Revised }%
\def\Accepted@name{Accepted }%
\def\Published@name{Published }%
\def\address{\replace@command\address\affiliation}%
\def\altaddress{\replace@command\altaddress\altaffiliation}%
\newenvironment{references}{%
\class@warn@end{The references environment is not supported; use thebibliography instead.}
\gdef\references{\thebibliography{}}\references
}{%
\endthebibliography
}%
\def\draft{%
\class@warn@end{Command \string\draft\space is obsolete;^^JInvoke option draft instead.}%
\@booleantrue\draft@sw
}%
\def\tighten{%
\class@warn@end{Command \string\tighten\space is obsolete;^^JInvoke option tightenlines instead.}%
\@booleantrue\tightenlines@sw
}%
\def\tableline{%
\noalign{%
\class@warn@end{Command \string\tableline\space is obsolete;^^JUse \string\colrule\space instead.}%
\global\let\tableline\colrule
}%
\tableline
}%
\def\case{\replace@command\case\frac}%
\def\slantfrac{\replace@command\slantfrac\frac}%
\def\tablenote{\replace@command\tablenote\footnote}%
\def\tablenotemark{\replace@command\tablenotemark\footnotemark}%
\def\tablenotetext{\replace@command\tablenotetext\footnotetext}%
\DeclareRobustCommand\REV@text[1]{%
\relax
\ifmmode
\mathchoice
{\hbox{{\everymath{\displaystyle }#1}}}%
{\hbox{{\everymath{\textstyle }#1}}}%
{\hbox{{\everymath{\scriptstyle }\let\f@size\sf@size\selectfont#1}}}%
{\hbox{{\everymath{\scriptscriptstyle}\let\f@size\ssf@size\selectfont#1}}}%
\glb@settings
\else
\mbox{#1}%
\fi
}%
\DeclareRobustCommand\REV@bbox[1]{%
\relax
\ifmmode
\mathchoice
{\hbox{{\everymath{\displaystyle }\boldmath$#1$}}}%
{\hbox{{\everymath{\textstyle }\boldmath$#1$}}}%
{\hbox{{\everymath{\scriptstyle }\boldmath$#1$}}}%
{\hbox{{\everymath{\scriptscriptstyle}\boldmath$#1$}}}%
\glb@settings
\else
\mbox{#1}%
\fi
}%
\DeclareRobustCommand\REV@bm[1]{%
\class@warn@end{To use \string\bm, please load the bm package!}%
\global\let\bm\relax
}%
\def\FL{\obsolete@command\FL}%
\def\FR{\obsolete@command\FR}%
\def\narrowtext{\obsolete@command\narrowtext}%
\def\mediumtext{\obsolete@command\mediumtext}%
\newenvironment{quasitable}{%
\let@environment{tabular}{longtable}%
}{%
}%
\let\text\REV@text
\let\bm\REV@bm
\appdef\setup@hook{%
\providecommand\bibinfo[2]{#2}%
\providecommand\eprint[2][]{#2}%
}%
\def\bbox#1{%
\class@warn@end{\string\bbox\space is obsolete,^^Jload the bm package and use \string\bm\space instead.}%
\global\let\bbox\relax
}%
\newenvironment{mathletters}{%
\class@warn@end{Environment {mathletters} is obsolete;^^Jload the amsmath package and use {subequations}!}%
\global\let\mathletters\@empty
}{%
}%
\def\eqnum#1{%
\class@warn@end{\string\eqnum\space is obsolete, load the amsmath package and use \string\tag!}%
\global\let\eqnum\@gobble
}%
\appdef\rtx@require@packages{%
\RequirePackage{revsymb4-1}%
}%
\appdef\class@documenthook{\revsymb@inithook}%
\def\@LN@LLerror@org{%
\PackageError{lineno}{%
\string\linelabel\space without \string\linenumbers
}{%
Just see documentation. (New feature v4.11)%
}%
\@gobble
}%
\def\@LN@LLerror@ltx{%
\PackageWarning{lineno}{%
To make the \string\linelabel\space command work, you must issue the \string\linenumbers\ command
}%
\@gobble
}%
\appdef\class@documenthook{%
\@ifx{\@LN@LLerror\@LN@LLerror@org}{%
\class@info{Overriding \string\@LN@LLerror}%
\let\@LN@LLerror\@LN@LLerror@ltx
}{}%
\@ifpackageloaded{lineno}{%
\@ifxundefined{\set@linepenalties}{}{%
\def\prep@absbox{\set@linepenalties}%
\def\post@absbox{\let\@LN@parpgbrk\@empty\@linenumberpar}%
}%
}{}%
}%
\appdef\rtx@require@packages{%
\InputIfFileExists{\jobname.rty}{}{}%
}%
\@parse@class@options@society
\@process@society{aps}%
\@parse@class@options@\@journal
\expandafter\@process@journal\expandafter{\@journal@default}%
\@parse@class@options@\@pointsize
\expandafter\@process@pointsize\expandafter{\@pointsize@default}%
\@options
\rtx@require@packages
\setup@hook
\endinput
%%
%% End of file `revtex4-1.cls'.
Zerion Mini Shell 1.0