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authorKarl Berry <karl@freefriends.org>2019-01-11 22:30:04 +0000
committerKarl Berry <karl@freefriends.org>2019-01-11 22:30:04 +0000
commit08d349abbfdc0c3b5b82fd472d692a1783f439cb (patch)
tree722991f9c6f2e78ed890bb7f7fd5d097b1e24f29 /Master/texmf-dist/tex/latex/revtex/revtex4-2.cls
parent69f4dc372985a82d9d1e813dfb2762422205dcea (diff)
revtex (11jan19)
git-svn-id: svn://tug.org/texlive/trunk@49672 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/tex/latex/revtex/revtex4-2.cls')
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diff --git a/Master/texmf-dist/tex/latex/revtex/revtex4-2.cls b/Master/texmf-dist/tex/latex/revtex/revtex4-2.cls
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--- /dev/null
+++ b/Master/texmf-dist/tex/latex/revtex/revtex4-2.cls
@@ -0,0 +1,7593 @@
+%%
+%% This is file `revtex4-2.cls',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% revtex4-2.dtx (with options: `kernel')
+%% ltxutil.dtx (with options: `kernel')
+%% ltxfront.dtx (with options: `kernel')
+%% ltxgrid.dtx (with options: `kernel')
+%% revtex4-2.dtx (with options: `options')
+%% ltxutil.dtx (with options: `options')
+%% ltxfront.dtx (with options: `options')
+%% ltxgrid.dtx (with options: `options')
+%% revtex4-2.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)
+%%
+%% Version (4.2a, unreleased)
+%% Modified by Aptara on behalf of American Physical Society and American Institute of Physics
+%%
+%% Version (4.2b)
+%% Modified by Mark Doyle, American Physical Society (mailto:revtex at aps.org)
+%%
+%% Copyright (c) 2019 American Physical Society.
+%% https://journals.aps.org/revtex/
+%% mailto:revtex@aps.org
+%%
+%% See the REVTeX 4.2 README-REVTEX file for restrictions and more information.
+%%
+\NeedsTeXFormat{LaTeX2e}[1996/12/01]%
+\ProvidesClass{revtex4-2}
+ [2018/12/26/16:06:17 4.2b (https://journals.aps.org/revtex/ for documentation)]% \fileversion
+\let\class@name\@gtempa
+\GenericInfo{}{\space
+ Copyright (c) 2019 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>%
+ Version (4.2b): Modified by Mark Doyle^^J
+ \@gobble
+}%
+\if@compatibility
+ \edef\reserved@a{\errhelp{%
+ Change your \string\documentstyle\space statement to
+ \string\documentclass\space and rerun.
+ }}\reserved@a
+ \errmessage{You cannot run \class@name\space in compatability mode}%
+ \expandafter\@@end
+\fi
+\typeout{%
+ltxutil%
+ [2018/12/26/16:53:27 4.2a utilities package (portions licensed from W. E. Baxter web at superscript.com)]% \fileversion
+}%
+\def\class@err#1{\ClassError{\class@name}{#1}\@eha}%
+\def\class@warn#1{\ClassWarningNoLine{\class@name}{#1}}%
+\def\class@info#1{\ClassInfo{\class@name}{#1}}%
+\def\obsolete@command#1{%
+ \class@warn@end{Command \string#1\space is obsolete.^^JPlease remove from your document}%
+ \global\let#1\@empty
+ #1%
+}%
+\def\replace@command#1#2{%
+ \class@warn@end{Command \string#1\space is obsolete;^^JUse \string#2\space instead}%
+ \global\let#1#2%
+ #1%
+}%
+\def\replace@environment#1#2{%
+ \class@warn@end{Environment #1 is obsolete;^^JUse #2 instead}%
+ \glet@environment{#1}{#2}%
+ \@nameuse{#1}%
+}%
+\def\incompatible@package#1{%
+ \@ifpackageloaded{#1}{%
+ \def\@tempa{I cannot continue. You must remove the \string\usepackage\ statement that caused that package to be loaded.}%
+ \ClassError{\class@name}{The #1 package cannot be used with \class@name}%
+ \@tempa\stop
+ }{%
+ \class@info{#1 was not loaded (OK!)}%
+ }%
+}%
+\def\class@warn@end#1{%
+ \gappdef\class@enddocumenthook{\class@warn{#1}}%
+}%
+\ifx\undefined\class@name
+ \def\class@name{ltxutil}%
+ \class@warn{You should define the class name before reading in this package. Using default}%
+\fi
+\def\t@{to}%
+\dimendef\dimen@iii\thr@@
+\def\halignt@{\halign\t@}%
+\chardef\f@ur=4\relax
+\chardef\cat@letter=11\relax
+\chardef\other=12\relax
+\def\let@environment#1#2{%
+ \expandafter\let
+ \csname#1\expandafter\endcsname\csname#2\endcsname
+ \expandafter\let
+ \csname end#1\expandafter\endcsname\csname end#2\endcsname
+}%
+\def\glet@environment#1#2{%
+ \global\expandafter\let
+ \csname#1\expandafter\endcsname\csname#2\endcsname
+ \global\expandafter\let
+ \csname end#1\expandafter\endcsname\csname end#2\endcsname
+}%
+\newcommand\tracingplain{%
+ \tracingonline\z@\tracingcommands\z@\tracingstats\z@
+ \tracingpages\z@\tracingoutput\z@\tracinglostchars\@ne
+ \tracingmacros\z@\tracingparagraphs\z@\tracingrestores\z@
+ \showboxbreadth5\showboxdepth3\relax %\errorstopmode
+ }%
+\newcommand\traceoutput{%
+ \appdef\@resetactivechars{\showoutput}%
+}%
+\newcommand\say[1]{\typeout{<\noexpand#1=\meaning#1>}}%
+\newcommand\saythe[1]{\typeout{<\noexpand#1=\the#1>}}%
+\def\fullinterlineskip{\prevdepth\z@}%
+\countdef\count@i\@ne
+\countdef\count@ii\tw@
+\long\def\prepdef#1#2{%
+ \@ifxundefined#1{\toks@{}}{\toks@\expandafter{#1}}%
+ \toks@ii{#2}%
+ \edef#1{\the\toks@ii\the\toks@}%
+}%
+\long\def\appdef#1#2{%
+ \@ifxundefined#1{\toks@{}}{\toks@\expandafter{#1}}%
+ \toks@ii{#2}%
+ \edef#1{\the\toks@\the\toks@ii}%
+}%
+\long\def\gappdef#1#2{%
+ \@ifxundefined#1{\toks@{}}{\toks@\expandafter{#1}}%
+ \toks@ii{#2}%
+ \global\edef#1{\the\toks@\the\toks@ii}%
+}%
+\long\def\appdef@val#1#2{%
+ \appdef#1{{#2}}%
+}%
+\long\def\appdef@e#1#2{%
+ \expandafter\appdef
+ \expandafter#1%
+ \expandafter{#2}%
+}%
+\long\def\appdef@eval#1#2{%
+ \expandafter\appdef@val
+ \expandafter#1%
+ \expandafter{#2}%
+}%
+\toksdef\toks@ii=\tw@
+\long\def\@ifxundefined#1{\@ifx{\undefined#1}}%
+\long\def\@ifnotrelax#1#2#3{\@ifx{\relax#1}{#3}{#2}}%
+\long\def\@argswap#1#2{#2#1}%
+\long\def\@argswap@val#1#2{#2{#1}}%
+\def\@ifxundefined@cs#1{\expandafter\@ifx\expandafter{\csname#1\endcsname\relax}}%
+\def\@boolean#1#2{%
+ \long\def#1{%
+ #2% \if<something>
+ \expandafter\true@sw
+ \else
+ \expandafter\false@sw
+ \fi
+ }%
+}%
+\def\@boole@def#1#{\@boolean{#1}}% Implicit #2
+\def\@booleantrue#1{\let#1\true@sw}%
+\def\@booleanfalse#1{\let#1\false@sw}%
+\@boole@def\@ifx#1{\ifx#1}%
+\@boole@def\@ifx@empty#1{\ifx\@empty#1}%
+\@boole@def\@if@empty#1{\if!#1!}%
+\def\@if@sw#1#2{#1\expandafter\true@sw\else\expandafter\false@sw#2}%
+\@boole@def\@ifdim#1{\ifdim#1}%
+\@boole@def\@ifeof#1{\ifeof#1}%
+\@boole@def\@ifhbox#1{\ifhbox#1}%
+\@boole@def\@ifhmode{\ifhmode}%
+\@boole@def\@ifinner{\ifinner}%
+\@boole@def\@ifmmode{\ifmmode}%
+\@boole@def\@ifnum#1{\ifnum#1}%
+\@boole@def\@ifodd#1{\ifodd#1}%
+\@boole@def\@ifvbox#1{\ifvbox#1}%
+\@boole@def\@ifvmode{\ifvmode}%
+\@boole@def\@ifvoid#1{\ifvoid#1}%
+\long\def\true@sw#1#2{#1}%
+\long\def\false@sw#1#2{#2}%
+\long\def\loopuntil#1{#1{}{\loopuntil{#1}}}%
+\long\def\loopwhile#1{#1{\loopwhile{#1}}{}}%
+\def\@provide#1{%
+ \@ifx{\undefined#1}{\true@sw}{\@ifx{\relax#1}{\true@sw}{\false@sw}}%
+ {\def#1}{\def\j@nk}%
+}%
+\prepdef\document{%
+ \endgroup
+ \document@inithook
+ \true@sw{}%
+}%
+\let\document@inithook\@empty
+\appdef\document@inithook{%
+ \AtBeginDocument{\class@documenthook}%
+}%
+\AtEndDocument{%
+ \class@enddocumenthook
+}%
+\let\class@documenthook\@empty
+\let\class@enddocumenthook\@empty
+\def\enddocument{%
+ \let\AtEndDocument\@firstofone
+ \@enddocumenthook
+ \@checkend{document}%
+ \clear@document
+ \check@aux
+ \deadcycles\z@
+ \@@end
+}%
+\def\check@aux{\do@check@aux}%
+\def\do@check@aux{%
+ \@if@sw\if@filesw\fi{%
+ \immediate\closeout\@mainaux
+ \let\@setckpt\@gobbletwo
+ \let\@newl@bel\@testdef
+ \@tempswafalse
+ \makeatletter
+ \input\jobname.aux\relax
+ }{}%
+ \@dofilelist
+ \@ifdim{\font@submax >\fontsubfuzz\relax}{%
+ \@font@warning{%
+ Size substitutions with differences\MessageBreak
+ up to \font@submax\space have occured.\@gobbletwo
+ }%
+ }{}%
+ \@defaultsubs
+ \@refundefined
+ \@if@sw\if@filesw\fi{%
+ \@ifx{\@multiplelabels\relax}{%
+ \@if@sw\if@tempswa\fi{%
+ \@latex@warning@no@line{%
+ Label(s) may have changed.
+ Rerun to get cross-references right
+ }%
+ }{}%
+ }{%
+ \@multiplelabels
+ }%
+ }{}%
+}%
+\def\clear@document{%
+ \clearpage
+ \do@output@cclv{%
+ \Call@AfterLastShipout
+ }%
+}%
+\appdef\class@documenthook{%
+ \providecommand\Call@AfterLastShipout{}%
+}%
+\def\class@extension#1#2{%
+ \IfFileExists{#1.#2}{%
+ \expandafter\class@extensionfile\csname ver@\@currname.\@currext\endcsname{#1}#2%
+ }{%
+ \csname rtx@#1\endcsname
+ }%
+}%
+\def\class@extensionfile#1#2#3{%
+ \@pass@ptions#3\@unusedoptionlist{#2}%
+ \global\let\@unusedoptionlist\@empty
+ \expandafter\class@ext@hook\csname#2.#3-h@@k\endcsname#1{#2}#3%
+}%
+\def\class@ext@hook#1#2#3#4{%
+ \@pushfilename@ltx
+ \makeatletter
+ \let\CurrentOption\@empty
+ \@reset@ptions
+ \let#1\@empty
+ \xdef\@currname{#3}%
+ \global\let\@currext#4%
+ \global\let\@clsextension\@currext
+ \input{#3.#4}%
+ \@ifl@ter#4{#3}#2{%
+ \class@info{Class extension later than: #2}%
+ }{%
+ \class@info{Class extension earlier: #2}%
+ \@@end
+ }%
+ #1%
+ \let#1\@undefined
+ \expandafter\@p@pfilename@ltx\@currnamestack@ltx\@nil
+ \@reset@ptions
+}%
+\def\@pushfilename@ltx{%
+ \xdef\@currnamestack@ltx{%
+ {\@currname}%
+ {\@currext}%
+ {\@clsextension}%
+ {\the\catcode`\@}%
+ \@currnamestack@ltx
+ }%
+}%
+\def\@p@pfilename@ltx#1#2#3#4#5\@nil{%
+ \gdef\@currname{#1}%
+ \gdef\@currext{#2}%
+ \gdef\@clsextension{#3}%
+ \catcode`\@#4\relax
+ \gdef\@currnamestack@ltx{#5}%
+}%
+\global\let\@currnamestack@ltx\@empty
+\def\flushing{%
+ \let\\\@normalcr
+ \leftskip\z@skip
+ \rightskip\z@skip
+ \@rightskip\z@skip
+ \parfillskip\@flushglue
+}%
+\expandafter\DeclareRobustCommand\expandafter\@centercr\expandafter{\@centercr}%
+\def\eqnarray@LaTeX{%
+ \stepcounter{equation}%
+ \def\@currentlabel{\p@equation\theequation}%
+ \global\@eqnswtrue
+ \m@th
+ \global\@eqcnt\z@
+ \tabskip\@centering
+ \let\\\@eqncr
+ $$\everycr{}\halign to\displaywidth\bgroup
+ \hskip\@centering$\displaystyle\tabskip\z@skip{##}$\@eqnsel
+ &\global\@eqcnt\@ne\hskip \tw@\arraycolsep \hfil${##}$\hfil
+ &\global\@eqcnt\tw@ \hskip \tw@\arraycolsep
+ $\displaystyle{##}$\hfil\tabskip\@centering
+ &\global\@eqcnt\thr@@ \hb@xt@\z@\bgroup\hss##\egroup
+ \tabskip\z@skip
+ \cr
+}
+\long\def\eqnarray@fleqn@fixed{%
+ \stepcounter{equation}\def\@currentlabel{\p@equation\theequation}%
+ \global\@eqnswtrue\m@th\global\@eqcnt\z@
+ \tabskip\ltx@mathindent
+ \let\\=\@eqncr
+ \setlength\abovedisplayskip{\topsep}%
+ \ifvmode\addtolength\abovedisplayskip{\partopsep}\fi
+ \addtolength\abovedisplayskip{\parskip}%
+ \setlength\belowdisplayskip{\abovedisplayskip}%
+ \setlength\belowdisplayshortskip{\abovedisplayskip}%
+ \setlength\abovedisplayshortskip{\abovedisplayskip}%
+ $$%
+ \everycr{}%
+ \halignt@\linewidth\bgroup
+ \hskip\@centering$\displaystyle\tabskip\z@skip{##}$\@eqnsel
+ &\global\@eqcnt\@ne
+ \hskip\tw@\eqncolsep
+ \hfil${{}##{}}$\hfil
+ &\global\@eqcnt\tw@
+ \hskip\tw@\eqncolsep
+ $\displaystyle{##}$\hfil\tabskip\@centering
+ &\global\@eqcnt\thr@@\hb@xt@\z@\bgroup\hss##\egroup
+ \tabskip\z@skip
+ \cr
+}%
+\@ifx{\eqnarray\eqnarray@LaTeX}{%
+ \class@info{Repairing broken LaTeX eqnarray}%
+ \let\eqnarray\eqnarray@fleqn@fixed
+ \newlength\eqncolsep
+ \setlength\eqncolsep\z@
+ \let\eqnarray@LaTeX\relax
+ \let\eqnarray@fleqn@fixed\relax
+}{}%
+\def\ltx@mathindent{\@centering}%
+\def\set@eqnarray@skips{}%
+\def\prep@math{%
+ \@ifvmode{\everypar{{\setbox\z@\lastbox}}}{}%
+}%
+\def\prep@math@patch{%
+ \prepdef\equation{\prep@math}%
+ \prepdef\eqnarray{\prep@math}%
+}%
+\def\footnote{\@ifnextchar[\ltx@xfootnote\ltx@yfootnote}%
+\def\ltx@xfootnote[#1]{%
+ \ltx@def@footproc\ltx@footmark[#1]%
+ \expandafter\ltx@foottext\expandafter{\the\csname c@\@mpfn\endcsname}%
+}%
+\def\ltx@yfootnote{%
+ \ltx@stp@footproc\ltx@footmark
+ \expandafter\ltx@foottext\expandafter{\the\csname c@\@mpfn\endcsname}%
+}%
+\def\footnotemark{\@ifnextchar[\ltx@xfootmark\ltx@yfootmark}%
+\def\ltx@xfootmark{\ltx@def@footproc\ltx@footmark}%
+\def\ltx@yfootmark{\ltx@stp@footproc\ltx@footmark}%
+\def\ltx@footmark#1{%
+ \leavevmode
+ \ifhmode\edef\@x@sf{\the\spacefactor}\nobreak\fi
+ \begingroup
+ \expandafter\ltx@make@current@footnote\expandafter{\@mpfn}{#1}%
+ \expandafter\@argswap@val\expandafter{\Hy@footnote@currentHref}{\hyper@linkstart {link}}%
+ \@makefnmark
+ \hyper@linkend
+ \endgroup
+ \ifhmode\spacefactor\@x@sf\fi
+ \relax
+}%
+\def\footnotetext{\@ifnextchar[\ltx@xfoottext\ltx@yfoottext}%
+\def\ltx@xfoottext{\ltx@def@footproc\ltx@foottext}%
+\def\ltx@yfoottext{\ltx@stp@footproc\ltx@foottext}%
+\long\def\ltx@foottext#1#2{%
+ \begingroup
+ \expandafter\ltx@make@current@footnote\expandafter{\@mpfn}{#1}%
+ \@footnotetext{#2}%
+ \endgroup
+}%
+\def\ltx@def@footproc#1[#2]{%
+ \begingroup
+ \csname c@\@mpfn\endcsname #2\relax
+ \unrestored@protected@xdef\@thefnmark{\thempfn}%
+ \expandafter\endgroup
+ \expandafter#1%
+ \expandafter{\the\csname c@\@mpfn\endcsname}%
+}%
+\def\ltx@stp@footproc#1{%
+ \expandafter\stepcounter\expandafter{\@mpfn}%
+ \protected@xdef\@thefnmark{\thempfn}%
+ \expandafter#1%
+ \expandafter{\the\csname c@\@mpfn\endcsname}%
+}%
+\appdef\class@documenthook{%
+ \let\footnote@latex\footnote
+ \@ifpackageloaded{hyperref}{}{%
+ \let\H@@footnotetext\@footnotetext
+ \def\@footnotetext{\H@@footnotetext}%
+ \let\H@@mpfootnotetext\@mpfootnotetext
+ \def\@mpfootnotetext{\H@@mpfootnotetext}%
+ }%
+}%
+\def\ltx@make@current@footnote#1#2{%
+ \csname c@#1\endcsname#2\relax
+ \protected@edef\Hy@footnote@currentHref{\@currentHref-#1.\csname the#1\endcsname}%
+}%
+\def\thempfootnote@latex{{\itshape \@alph \c@mpfootnote }}%
+\def\ltx@thempfootnote{\@alph\c@mpfootnote}%
+\@ifx{\thempfootnote\thempfootnote@latex}{%
+ \class@info{Repairing hyperref-unfriendly LaTeX definition of \string\mpfootnote}%
+ \let\thempfootnote\ltx@thempfootnote
+}{}%
+\def\@makefnmark{%
+ \hbox{%
+ \@textsuperscript{%
+ \normalfont\itshape\@thefnmark
+ }%
+ }%
+}%
+\long\def\@footnotetext{%
+ \insert\footins\bgroup
+ \make@footnotetext
+}%
+\long\def\@mpfootnotetext{%
+ \minipagefootnote@pick
+ \make@footnotetext
+}%
+\long\def\make@footnotetext#1{%
+ \set@footnotefont
+ \set@footnotewidth
+ \@parboxrestore
+ \protected@edef\@currentlabel{%
+ \csname p@\@mpfn\endcsname\@thefnmark
+ }%
+ \color@begingroup
+ \@makefntext{%
+ \rule\z@\footnotesep\ignorespaces#1%
+ \@finalstrut\strutbox\vadjust{\vskip\z@skip}%
+ }%
+ \color@endgroup
+ \minipagefootnote@drop
+}%
+\def\set@footnotefont{%
+ \reset@font\footnotesize
+ \interlinepenalty\interfootnotelinepenalty
+ \splittopskip\footnotesep
+ \splitmaxdepth\dp\strutbox
+}%
+\def\set@footnotewidth{\set@footnotewidth@one}%
+\def\robustify@contents{%
+ \let \label \@gobble
+ \let \index \@gobble
+ \let \glossary \@gobble
+ \let\footnote \@gobble
+ \def\({\string\(}%
+ \def\){\string\)}%
+ \def\\{\string\\}%
+}%
+\long\def\addtocontents#1#2{%
+ \protected@write\@auxout{\robustify@contents}{\string \@writefile {#1}{#2}}%
+}%
+\def\addcontentsline#1#2#3{%
+ \addtocontents{#1}{%
+ \protect\contentsline{#2}{#3}{\thepage}{}%
+ }%
+}%
+\def\label#1{%
+ \@bsphack
+ \protected@write\@auxout{}{%
+ \string\newlabel{#1}{{\@currentlabel}{\thepage}{}{}{}}%
+ }%
+ \@esphack
+}%
+\def\ltx@contentsline#1{%
+ \expandafter\@ifnotrelax\csname l@#1\endcsname{}{%
+ \expandafter\let\csname l@#1\endcsname\@gobbletwo
+ }%
+ \contentsline@latex{#1}%
+}%
+\appdef\document@inithook{%
+ \let\contentsline@latex\contentsline
+ \let\contentsline\ltx@contentsline
+}%
+\appdef\class@documenthook{%
+ \prepdef\caption{\minipagefootnote@here}%
+}%
+\def\minipagefootnote@init{%
+ \setbox\@mpfootins\box\voidb@x
+}%
+\def\minipagefootnote@pick{%
+ \global\setbox\@mpfootins\vbox\bgroup
+ \unvbox\@mpfootins
+}%
+\def\minipagefootnote@drop{%
+ \egroup
+}%
+\def\minipagefootnote@here{%
+ \par
+ \@ifvoid\@mpfootins{}{%
+ \vskip\skip\@mpfootins
+ \fullinterlineskip
+ \@ifinner{%
+ \vtop{\unvcopy\@mpfootins}%
+ {\setbox\z@\lastbox}%
+ }{}%
+ \unvbox\@mpfootins
+ }%
+}%
+\def\minipagefootnote@foot{%
+ \@ifvoid\@mpfootins{}{%
+ \insert\footins\bgroup\unvbox\@mpfootins\egroup
+ }%
+}%
+\def\endminipage{%
+ \par
+ \unskip
+ \minipagefootnote@here
+ \@minipagefalse %% added 24 May 89
+ \color@endgroup
+ \egroup
+ \expandafter\@iiiparbox\@mpargs{\unvbox\@tempboxa}%
+}%
+\@booleantrue\floats@sw
+\let\@xfloat@LaTeX\@xfloat
+\def\@xfloat#1[#2]{%
+ \@xfloat@prep
+ \@nameuse{fp@proc@#2}%
+ \floats@sw{\@xfloat@LaTeX{#1}[#2]}{\@xfloat@anchored{#1}[]}%
+}%
+\def\@xfloat@prep{%
+ \ltx@footnote@pop
+ \def\@mpfn{mpfootnote}%
+ \def\thempfn{\thempfootnote}%
+ \c@mpfootnote\z@
+ \let\H@@footnotetext\H@@mpfootnotetext
+}%
+\let\ltx@footnote@pop\@empty
+\def\@xfloat@anchored#1[#2]{%
+ \def\@captype{#1}%
+ \begin@float@pagebreak
+ \let\end@float\end@float@anchored
+ \let\end@dblfloat\end@float@anchored
+ \hsize\columnwidth
+ \@parboxrestore
+ \@floatboxreset
+ \minipagefootnote@init
+}%
+\def\end@float@anchored{%
+ \minipagefootnote@here
+ \par\vskip\z@skip
+ \par
+ \end@float@pagebreak
+}%
+\def\begin@float@pagebreak{\par\addvspace\intextsep}%
+\def\end@float@pagebreak{\par\addvspace\intextsep}%
+\def\@mpmakefntext#1{%
+ \parindent=1em
+ \noindent
+ \hb@xt@1em{\hss\@makefnmark}%
+ #1%
+}%
+\def\do@if@floats#1#2{%
+ \floats@sw{}{%
+ \expandafter\newwrite
+ \csname#1write\endcsname
+ \expandafter\def
+ \csname#1@stream\endcsname{\jobname#2}%
+ \expandafter\immediate
+ \expandafter\openout
+ \csname#1write\endcsname
+ \csname#1@stream\endcsname\relax
+ \@ifxundefined\@float@LaTeX{%
+ \let\@float@LaTeX\@float
+ \let\@dblfloat@LaTeX\@dblfloat
+ \let\@float\write@float
+ \let\@dblfloat\write@floats
+ }{}%
+ \let@environment{#1@float}{#1}%
+ \let@environment{#1@floats}{#1*}%
+ \@ifxundefined@cs{#1@write}{}{%
+ \let@environment{#1}{#1@write}%
+ }%
+ }%
+}%
+\def\triggerpar{\leavevmode\@@par}%
+\def\oneapage{\def\begin@float@pagebreak{\newpage}\def\end@float@pagebreak{\newpage}}%
+\def\print@float#1#2{%
+ \lengthcheck@sw{%
+ \total@float{#1}%
+ }{}%
+ \@ifxundefined@cs{#1write}{}{%
+ \begingroup
+ \@booleanfalse\floats@sw
+ #2%
+ \raggedbottom
+ \def\array@default{v}% floats must
+ \let\@float\@float@LaTeX
+ \let\@dblfloat\@dblfloat@LaTeX
+ \let\trigger@float@par\triggerpar
+ \let@environment{#1}{#1@float}%
+ \let@environment{#1*}{#1@floats}%
+ \expandafter\prepdef\csname#1\endcsname{\trigger@float@par}%
+ \expandafter\prepdef\csname#1*\endcsname{\trigger@float@par}%
+ \@namedef{fps@#1}{h!}%
+ \expandafter\immediate
+ \expandafter\closeout
+ \csname#1write\endcsname
+ \everypar{%
+ \global\let\trigger@float@par\relax
+ \global\everypar{}\setbox\z@\lastbox
+ \@ifxundefined@cs{#1sname}{}{%
+ \begin@float@pagebreak
+ \expandafter\section
+ \expandafter*%
+ \expandafter{%
+ \csname#1sname\endcsname
+ }%
+ }%
+ }%
+ \input{\csname#1@stream\endcsname}%
+ \endgroup
+ \global\expandafter\let\csname#1write\endcsname\relax
+ }%
+}%
+\chardef\@xvi=16\relax
+\mathchardef\@twopowerfourteen="4000
+\mathchardef\@twopowertwo="4
+\def\tally@float#1{%
+ \begingroup
+ \@tempcnta\count\@currbox
+ \divide\@tempcnta\@xxxii
+ \multiply\@tempcnta\@xxxii
+ \advance\count\@currbox-\@tempcnta
+ \divide\@tempcnta\@xxxii
+ \@ifnum{\count\@currbox>\@xvi}{%
+ \advance\count\@currbox-\@xvi\@booleantrue\@temp@sw
+ }{%
+ \@booleanfalse\@temp@sw
+ }%
+ \show@box@size@sw{%
+ \class@info{Float #1
+ (\the\@tempcnta)[\@temp@sw{16+}{}\the\count\@currbox]^^J%
+ (\the\ht\@currbox+\the\dp\@currbox)X\the\wd\@currbox
+ }%
+ }{}%
+ \endgroup
+ \expandafter\let
+ \expandafter\@tempa
+ \csname fbox@\csname ftype@#1\endcsname\endcsname
+ \@ifnotrelax\@tempa{%
+ \@ifhbox\@tempa{%
+ \setbox\@tempboxa\vbox{\unvcopy\@currbox\hrule}%
+ \dimen@\ht\@tempboxa
+ \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]{https://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%
+ [2018/12/26/17:08:09 4.2a frontmatter package (AO,DPC,MD)]% \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%
+ [2018/12/26/17:28:09 4.2a 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}%
+\@booleantrue\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 = "revtex4-2.dtx",
+%%% version = "4.2b",
+%%% date = "2018/12/26",
+%%% time = "16:06:17 UT-5",
+%%% checksum = "6584",
+%%% author = "Mark Doyle (mailto: revtex at aps.org), Arthur Ogawa (mailto:arthur_ogawa at sbcglobal.net),
+%%% commissioned by the American Physical Society.
+%%% ",
+%%% copyright = "Copyright (C) 1999, 2009 Arthur Ogawa, Version 4.2 Copyright (C) 2019 American Physical Society
+%%% distributed under the terms of the
+%%% LaTeX Project Public License, see
+%%% ftp://ctan.tug.org/macros/latex/base/lppl.txt
+%%% ",
+%%% address = "Mark Doyle,
+%%% USA",
+%%% telephone = "",
+%%% FAX = "",
+%%% email = "mailto colon revtex at aps.org",
+%%% codetable = "ISO/ASCII",
+%%% keywords = "",
+%%% supported = "yes",
+%%% abstract = "",
+%%% docstring = "The checksum field above generated by ltxdoc",
+%%% }
+\def\substyle@post{4-2}%
+\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{%
+ REVTEX42Control%
+ \eprint@enable@sw{}{,eprint="1"}%
+ }%
+ }%
+ \if@filesw
+ \immediate\write\@auxout{\string\citation{REVTEX42Control}}%
+ \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{revsymb4-2}%
+}%
+\appdef\class@documenthook{\revsymb@inithook}%
+%%
+\def\@startflt#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\att@TOC{toc}%
+\def\print@toc#1{%
+ \begingroup
+ \expandafter\section
+ \expandafter*%
+ \expandafter{%
+ \csname#1name\endcsname
+ }%
+ \let\appendix\appendix@toc
+ \def\tempa{#1}%
+ \ifx\tempa\att@TOC%%
+ \@starttoc{#1}%
+ \else%%
+ \@startflt{#1}%%
+ \fi%%
+ \endgroup
+}%
+%%
+\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
+\appdef\setup@hook{\normalsize}%
+\setup@hook
+\endinput
+%%
+%% End of file `revtex4-2.cls'.