revtex 4.1 (14oct09)

git-svn-id: svn://tug.org/texlive/trunk@15832 c570f23f-e606-0410-a88d-b1316a301751

13 files changed, 10122 insertions, 2277 deletions

diff --git a/Master/texmf-dist/tex/latex/revtex/aip4-1.rtx b/Master/texmf-dist/tex/latex/revtex/aip4-1.rtx
new file mode 100644
index 00000000000..bf8e232054f
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/revtex/aip4-1.rtx
@@ -0,0 +1,651 @@
+%%
+%% This is file `aip4-1.rtx',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% aip.dtx  (with options: `package')
+%% 
+%% This is a generated file;
+%% altering it directly is inadvisable;
+%% instead, modify the original source file.
+%% See the URL in the file README.
+%% 
+%% Copyright (c) 2008 American Institute of Physics.
+%% mailto:tex@aip.org
+%% 
+%% Maintained by Arthur Ogawa (mailto:arthur_ogawa at sbcglobal.net)
+%% under contract to American Institute of Physics.
+%% 
+%% License
+%%    You may distribute this file under the conditions of the
+%%    LaTeX Project Public License 1.3 or later
+%%    (http://www.latex-project.org/lppl.txt).
+%% 
+%%    This file is distributed WITHOUT ANY WARRANTY;
+%%    without even the implied warranty of MERCHANTABILITY
+%%    or FITNESS FOR A PARTICULAR PURPOSE.
+%% 
+%%%  @LaTeX-file{
+%%%     filename        = "aip.dtx",
+%%%     version         = "4.1h",
+%%%     date            = "2009/10/09",
+%%%     time            = "11:23:00 GMT+8",
+%%%     checksum        = "1163",
+%%%     author          = "Arthur Ogawa (mailto:arthur_ogawa at sbcglobal.net),
+%%%                        commissioned by the American Institute of Physics.
+%%%                        ",
+%%%     copyright       = "Copyright (C) 2008 American Institute of Physics,
+%%%                        distributed under the terms of the
+%%%                        LaTeX Project Public License, see
+%%%                        ftp://ctan.tug.org/macros/latex/base/lppl.txt
+%%%                        ",
+%%%     address         = "AIP Journal Program
+%%%                        American Institute of Physics,
+%%%                        Suite 1NO1, 2 Huntington Quadrangle,
+%%%                        Melville, NY 11747 USA",
+%%%     telephone       = "",
+%%%     FAX             = "",
+%%%     email           = "mailto colon tex at aip.org",
+%%%     codetable       = "ISO/ASCII",
+%%%     keywords        = "latex, page grid, main vertical list",
+%%%     supported       = "yes",
+%%%     abstract        = "aip substyle for REVTeX",
+%%%     docstring       = "The checksum field above generated by ltxdoc",
+%%%  }
+\NeedsTeXFormat{LaTeX2e}[1996/12/01]%
+\ProvidesFile{aip4-1.rtx}%
+ [2009/10/09 4.1h AIP substyle for REVTeX]% \fileversion
+\ifx\undefined\substyle@ext
+ \def\@tempa{%
+  \endinput
+  \GenericWarning{I must be read in by REVTeX! (Bailing out)}%
+ }%
+ \expandafter\else
+  \def\@tempa{}%
+ \expandafter\fi\@tempa
+ \class@info{RevTeX society AIP selected}%
+\DeclareOption{jcp}{\change@journal{jcp}}%
+\DeclareOption{pop}{\change@journal{pop}}%
+\DeclareOption{rsi}{\change@journal{rsi}}%
+\DeclareOption{jap}{\change@journal{jap}}%
+\DeclareOption{apl}{\change@journal{apl}}%
+\DeclareOption{cha}{\change@journal{cha}}%
+\DeclareOption{pof}{\change@journal{pof}}%
+\DeclareOption{bmf}{\change@journal{bmf}}%
+\DeclareOption{rse}{\change@journal{rse}}%
+\DeclareOption{jmp}{\change@journal{jmp}}%
+\DeclareOption{author-numerical}{%
+  \@booleantrue\authoryear@sw
+  \@booleantrue\authornum@sw
+}%
+\DeclareOption{article-title}{%
+  \@booleanfalse\aip@jtitx@sw
+}%
+\@booleantrue \aip@jtitx@sw
+\@booleanfalse\authoryear@sw
+\@booleanfalse\authornum@sw
+\@booleantrue\preprintsty@sw
+\@booleantrue\showPACS@sw
+\@booleantrue\showKEYS@sw
+\appdef\setup@hook{%
+ \preprintsty@sw{}{%
+  \let\refname\@empty
+ }%
+}%
+\appdef\setup@hook{%
+ \preprintsty@sw{%
+  \ps@preprint
+ }{%
+  \ps@article
+ }%
+}%
+\def\ps@preprint{%
+  \def\@oddhead{\@runningtitle\hfil}%
+  \def\@evenhead{\@runningtitle\hfil}%
+  \def\@oddfoot{\hfil\thepage\quad\checkindate\hfil}%
+  \def\@evenfoot{\hfil\thepage\quad\checkindate\hfil}%
+  \let\@mkboth\@gobbletwo
+  \let\sectionmark\@gobble
+  \let\subsectionmark\@gobble
+}%
+\def\ps@article{%
+  \def\@evenhead{\let\\\heading@cr\thepage\quad\checkindate\hfil\@runningtitle}%
+  \def\@oddhead{\let\\\heading@cr\@runningtitle\hfil\checkindate\quad\thepage}%
+  \def\@oddfoot{}%
+  \def\@evenfoot{}%
+  \let\@mkboth\@gobbletwo
+  \let\sectionmark\@gobble
+  \let\subsectionmark\@gobble
+}%
+\def\@runningtitle{\@shorttitle}%
+\renewenvironment{titlepage}{%
+  \let\wastwocol@sw\twocolumn@sw
+  \onecolumngrid
+  \newpage
+  \thispagestyle{titlepage}%
+  \c@page\z@% article sets this to one not zero???
+}{%
+  \wastwocol@sw{\twocolumngrid}{\newpage}%
+}%
+\let\@fnsymbol@latex\@fnsymbol
+\let\@fnsymbol\@alph
+\def\adjust@abstractwidth{%
+ \parindent1em\relax
+ \advance\leftskip.5in\relax
+ \@totalleftmargin\leftskip
+ \@afterheading\@afterindentfalse
+}%
+\def\frontmatter@abstractheading{}%
+\def\frontmatter@abstractfont{%
+ \adjust@abstractwidth
+}%
+\appdef\setup@hook{%
+ \preprintsty@sw{%
+  \@booleantrue\titlepage@sw
+  \let\section\section@preprintsty
+  \let\subsection\subsection@preprintsty
+  \let\subsubsection\subsubsection@preprintsty
+ }{}%
+}%
+\def\frontmatter@@indent{%
+ \skip@\@flushglue
+ \@flushglue\z@ plus.3\hsize\relax
+ \raggedright
+ \advance\leftskip.5in\relax
+ \@totalleftmargin\leftskip
+ \@flushglue\skip@
+}%
+\def\frontmatter@authorformat{%
+ \frontmatter@@indent
+ \sffamily
+}%
+\renewcommand*\email[1][Electronic mail: ]{\begingroup\sanitize@url\@email{#1}}%
+\def\frontmatter@above@affilgroup{%
+}%
+\def\frontmatter@above@affiliation@script{%
+ \frontmatter@@indent
+}%
+\def\frontmatter@above@affiliation{%
+}%
+\def\frontmatter@affiliationfont{%
+ \frontmatter@@indent
+ \preprintsty@sw{}{\small}%
+ \it
+}%
+\def\frontmatter@collaboration@above{%
+}%
+\def\frontmatter@setup{%
+ \normalfont
+}%
+\def\frontmatter@title@above{\addvspace{6\p@}}%
+\def\frontmatter@title@format{%
+ \preprintsty@sw{}{\Large}%
+ \sffamily
+ \bfseries
+ \raggedright
+ \parskip\z@skip
+}%
+\def\frontmatter@title@below{\addvspace{3\p@}}%
+\def\@author@parskip{3\p@}%
+\@booleantrue\altaffilletter@sw
+\def\frontmatter@makefnmark{%
+ \@textsuperscript{%
+  \normalfont\@thefnmark%(
+  )%
+ }%
+}%
+\def\frontmatter@authorbelow{%
+\addvspace{3\p@}%
+}%
+\let\affil@cutoff\tw@
+\def\frontmatter@RRAP@format{%
+  \addvspace{5\p@}%
+  \small
+  \raggedright
+  \advance\leftskip.5in\relax
+ \@totalleftmargin\leftskip
+  \everypar{%
+   \hbox\bgroup(\@gobble@leavemode@uppercase%)
+  }%
+  \def\par{%
+   \@ifvmode{}{%(
+    \unskip)\egroup\@@par
+   }%
+  }%
+}%
+\def\punct@RRAP{;\egroup\ \hbox\bgroup}%
+\def\@gobble@leavemode@uppercase#1#2{\expandafter\MakeTextUppercase}%
+\def\frontmatter@PACS@format{%
+   \addvspace{11\p@}%
+   \adjust@abstractwidth
+   \parskip\z@skip
+   \samepage
+}%
+\def\frontmatter@keys@format{%
+   \adjust@abstractwidth
+   \samepage
+}%
+\def\ps@titlepage{%
+  \def\@oddhead{%
+   \@runningtitle
+   \hfill
+   \produce@preprints\@preprint
+  }%
+  \let\@evenhead\@oddhead
+  \def\@oddfoot{%
+   \hb@xt@\z@{\byrevtex\hss}%
+   \hfil
+   \preprintsty@sw{\thepage}{}%
+   \quad\checkindate
+   \hfil
+  }%
+  \let\@evenfoot\@oddfoot
+}%
+\def\byrevtex{\byrevtex@sw{Typeset by REV\TeX and AIP}{}}%
+\def\produce@preprints#1{%
+ \preprint@sw{%
+  \vtop to \z@{%
+   \def\baselinestretch{1}%
+   \small
+   \let\preprint\preprint@count
+   \count@\z@#1\@ifnum{\count@>\tw@}{%
+    \hbox{%
+     \let\preprint\preprint@hlist
+     #1\setbox\z@\lastbox
+    }%
+   }{%
+    \let\preprint\preprint@cr
+    \halign{\hfil##\cr#1\crcr}%
+    \par
+    \vss
+   }%
+  }%
+ }{}%
+}%
+\def\preprint@cr#1{#1\cr}%
+\def\preprint@count#1{\advance\count@\@ne}%
+\def\preprint@hlist#1{#1\hbox{, }}%
+\newenvironment{Lead@inParagraph}{%
+ \par
+ \bfseries
+ \@afterheading\@afterindentfalse
+}{%
+ \par
+ \hb@xt@\hsize{\hfil\leaders\hrule\hfil\leaders\hrule\hfil\hfil}%
+}%
+\appdef\frontmatter@init{%
+ \let@environment{quotation@ltx}{quotation}%
+ \let@environment{quotation}{Lead@inParagraph}%
+}%
+\appdef\@startsection@hook{%
+ \let@environment{quotation}{quotation@ltx}%
+}%
+\def\@seccntformat#1{\csname the#1\endcsname.\quad}%
+\def\@hang@from#1#2#3{#1#2#3}%
+\def\section{%
+  \@startsection
+    {section}%
+    {1}%
+    {\z@}%
+    {0.8cm \@plus1ex \@minus .2ex}%
+    {0.5cm}%
+    {%
+     \normalfont
+     \small
+     \sffamily
+     \bfseries
+     \raggedright
+    }%
+}%
+\def\@hangfrom@section#1#2#3{\@hangfrom{#1#2}\MakeTextUppercase{#3}}%
+\def\@hangfroms@section#1#2{#1\MakeTextUppercase{#2}}%
+\def\subsection{%
+  \@startsection
+    {subsection}%
+    {2}%
+    {\z@}%
+    {.8cm \@plus1ex \@minus .2ex}%
+    {.5cm}%
+    {%
+     \normalfont
+     \small
+     \sffamily
+     \bfseries
+     \raggedright
+    }%
+}%
+\def\subsubsection{%
+  \@startsection
+    {subsubsection}%
+    {3}%
+    {\z@}%
+    {.8cm \@plus1ex \@minus .2ex}%
+    {.5cm}%
+    {%
+     \normalfont
+     \small
+     \sffamily
+     \bfseries
+     \itshape
+     \raggedright
+    }%
+}%
+\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\section@preprintsty{%
+  \@startsection
+    {section}%
+    {1}%
+    {\z@}%
+    {0.8cm \@plus1ex \@minus .2ex}%
+    {0.5cm}%
+    {%
+     \normalfont
+     \bfseries
+     \raggedright
+    }%
+}%
+\def\subsection@preprintsty{%
+  \@startsection
+    {subsection}%
+    {2}%
+    {\z@}%
+    {.8cm \@plus1ex \@minus .2ex}%
+    {.5cm}%
+    {%
+     \normalfont
+     \bfseries
+     \raggedright
+    }%
+}%
+\def\subsubsection@preprintsty{%
+  \@startsection
+    {subsubsection}%
+    {3}%
+    {\z@}%
+    {.8cm \@plus1ex \@minus .2ex}%
+    {.5cm}%
+    {%
+     \normalfont
+     \itshape\bfseries
+     \raggedright
+    }%
+}%
+\let\frontmatter@footnote@produce\frontmatter@footnote@produce@footnote
+\def\@pnumwidth{1.55em}
+\def\@tocrmarg {2.55em}
+\def\@dotsep{2}
+\def\ltxu@dotsep{4.5pt}
+\setcounter{tocdepth}{3}
+\def\tableofcontents{%
+ \addtocontents{toc}{\string\tocdepth@munge}%
+ \print@toc{toc}%
+ \addtocontents{toc}{\string\tocdepth@restore}%
+}%
+\def\tocdepth@munge{%
+  \let\l@section@saved\l@section
+  \let\l@section\@gobble@tw@
+}%
+\def\@gobble@tw@#1#2{}%
+\def\tocdepth@restore{%
+  \let\l@section\l@section@saved
+}%
+\def\l@part#1#2{\addpenalty{\@secpenalty}%
+ \begingroup
+  \set@tocdim@pagenum{#2}%
+  \parindent \z@
+  \rightskip\tocleft@pagenum plus 1fil\relax
+  \skip@\parfillskip\parfillskip\z@
+  \addvspace{2.25em plus\p@}%
+  \large \bf %
+  \leavevmode\ignorespaces#1\unskip\nobreak\hskip\skip@
+  \hb@xt@\rightskip{\hfil\unhbox\z@}\hskip-\rightskip\hskip\z@skip
+  \par
+  \nobreak %
+ \endgroup
+}%
+\def\tocleft@{\z@}%
+\def\tocdim@min{5\p@}%
+\def\l@section{%
+ \l@@sections{}{section}% Implicit #3#4
+}%
+\def\l@f@section{%
+ \addpenalty{\@secpenalty}%
+ \addvspace{1.0em plus\p@}%
+ \bf
+}%
+\def\l@subsection{%
+ \l@@sections{section}{subsection}% Implicit #3#4
+}%
+\def\l@subsubsection{%
+ \l@@sections{subsection}{subsubsection}% Implicit #3#4
+}%
+\def\l@paragraph#1#2{}%
+\def\l@subparagraph#1#2{}%
+\let\toc@pre\toc@pre@auto
+\let\toc@post\toc@post@auto
+\def\listoffigures{\print@toc{lof}}%
+\def\l@figure{\@dottedtocline{1}{1.5em}{2.3em}}
+\def\listoftables{\print@toc{lot}}%
+\let\l@table\l@figure
+\@booleanfalse\raggedcolumn@sw
+\def\tableft@skip@float{\z@ plus\hsize}%
+\def\tabmid@skip@float{\@flushglue}%
+\def\tabright@skip@float{\z@ plus\hsize}%
+\def\array@row@pre@float{\hline\hline\noalign{\vskip\doublerulesep}}%
+\def\array@row@pst@float{\noalign{\vskip\doublerulesep}\hline\hline}%
+\def\@makefntext#1{%
+ \def\baselinestretch{1}%
+ \leftskip1em%
+ \parindent1em%
+ \noindent
+ \nobreak\hskip-\leftskip
+ \hb@xt@\leftskip{%
+  \hss\@makefnmark\ %
+ }%
+ #1%
+ \par
+}%
+\prepdef\appendix{%
+ \par
+ \let\@hangfrom@section\@hangfrom@appendix
+ \let\@sectioncntformat\@appendixcntformat
+}%
+\def\@hangfrom@appendix#1#2#3{%
+ #1%
+ \@if@empty{#2}{%
+  #3%
+ }{%
+  #2\@if@empty{#3}{}{:\ #3}%
+ }%
+}%
+\def\@hangfroms@appendix#1#2{%
+ #1#2%
+}%
+\def\@appendixcntformat#1{\appendixname\ \csname the#1\endcsname}%
+ \def\pre@bibdata{\jobname\bibdata@app}%
+\def\refname{References}%
+\def\rtx@bibsection{%
+ \@ifx@empty\refname{%
+  \par\vspace{6\p@ plus 6\p@}%
+ }{%
+  \expandafter\section\expandafter*\expandafter{\refname}%
+  \@nobreaktrue
+ }%
+}%
+\let\bibpreamble\@empty
+\appdef\setup@hook{%
+ \bibsep\z@\relax
+}%
+\def\newblock{\ }%
+\appdef\setup@hook{%
+ \def\bibfont{%
+  \preprintsty@sw{}{\footnotesize}%
+  \@clubpenalty\clubpenalty
+  \labelsep\z@
+ }%
+}%
+\let\place@bibnumber\place@bibnumber@sup
+\newenvironment{theindex}{%
+ \columnseprule \z@
+ \columnsep 35\p@
+ \c@secnumdepth-\maxdimen
+ \onecolumngrid@push
+ \section{\indexname}%
+ \thispagestyle{plain}%
+ \parindent\z@
+ \parskip\z@ plus.3\p@\relax
+ \let\item\@idxitem
+ \onecolumngrid@pop
+}{%
+}%
+\def\@idxitem{\par\hangindent 40\p@}
+\def\subitem{\par\hangindent 40\p@ \hspace*{20\p@}}
+\def\subsubitem{\par\hangindent 40\p@ \hspace*{30\p@}}
+\def\indexspace{\par \vskip 10\p@ plus5\p@ minus3\p@\relax}
+\expandafter\def\csname rtx@aip10pt\endcsname{%
+ \let\@currname@class\@currname
+ \def\@currname{aps10pt\substyle@post}%
+ \class@info{Reading file \@currname.\substyle@ext}%
+ \input{\@currname.\substyle@ext}%
+ \let\@currname\@currname@class
+ \class@info{Overriding 10pt}%
+ \aipreprint
+}%
+\expandafter\def\csname rtx@aip11pt\endcsname{\csname rtx@aip12pt\endcsname}%
+\expandafter\def\csname rtx@aip12pt\endcsname{%
+ \let\@currname@class\@currname
+ \def\@currname{aps12pt\substyle@post}%
+ \class@info{Reading file \@currname.\substyle@ext}%
+ \input{\@currname.\substyle@ext}%
+ \let\@currname\@currname@class
+ \class@info{Overriding 12pt}%
+ \aippreprint
+}%
+\def\today{%
+  \number\day\space
+  \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\year
+}%
+ \clo@superscriptaddress
+\def\@journal@default{cha}%
+\def\@pointsize@default{12}%
+\def\rtx@aipjcp{%
+ \typeout{Using journal substyle \@journal.}%
+ \@booleanfalse\authoryear@sw
+}%
+\def\rtx@aippop{%
+ \typeout{Using journal substyle \@journal.}%
+ \@booleanfalse\authoryear@sw
+}%
+\def\rtx@aiprsi{%
+ \typeout{Using journal substyle \@journal.}%
+ \@booleanfalse\authoryear@sw
+}%
+\def\rtx@aipjap{%
+ \typeout{Using journal substyle \@journal.}%
+ \@booleanfalse\authoryear@sw
+ \let\@runningtitle\@empty
+}%
+\def\rtx@aipapl{%
+ \typeout{Using journal substyle \@journal.}%
+ \@booleanfalse\authoryear@sw
+ \let\@runningtitle\@empty
+}%
+\def\rtx@aipcha{%
+ \typeout{Using journal substyle \@journal.}%
+ \@booleanfalse\aip@jtitx@sw
+}%
+\def\rtx@aippof{%
+ \typeout{Using journal substyle \@journal.}%
+ \@booleanfalse\authoryear@sw
+ \@booleanfalse\aip@jtitx@sw
+}%
+\def\rtx@aipbmf{%
+ \typeout{Using journal substyle \@journal.}%
+ \@booleanfalse\authoryear@sw
+ \@booleanfalse\twocolumn@sw
+}%
+\def\rtx@aiprse{%
+ \typeout{Using journal substyle \@journal.}%
+ \@booleanfalse\authoryear@sw
+}%
+\def\rtx@aipjmp{%
+ \typeout{Using journal substyle \@journal.}%
+ \@booleanfalse\aip@jtitx@sw
+ \@booleanfalse\twocolumn@sw
+}%
+\@booleantrue\footinbib@sw
+\let\place@bibnumber\place@bibnumber@sup
+\appdef\setup@hook{%
+ \authoryear@sw{%
+  \aip@jtitx@sw{%
+   \def\@bibstyle{aipauth\substyle@post}%
+  }{%
+   \def\@bibstyle{aipauth\substyle@post long}%
+  }%
+  \authornum@sw{%
+   \bibpunct{}{}{,}{s}{}{\textsuperscript{,}}%
+   \let\onlinecite\rev@citealpnum
+  }{%
+   \bibhang10\p@
+   \bibpunct{(%)
+              }{%(
+                )}{; }{a}{,}{,}%
+   \@booleanfalse\footinbib@sw
+   \let\NAT@mcite\@ne
+   \let\NAT@sort\z@
+   \def\NAT@cmprs{\z@}%
+   \let\NAT@def@citea\rtx@def@citea
+   \let\NAT@def@citea@close\rtx@def@citea@close
+  }%
+ }{%
+  \aip@jtitx@sw{%
+   \def\@bibstyle{aipnum\substyle@post}%
+  }{%
+   \def\@bibstyle{aipnum\substyle@post long}%
+  }%
+  \bibpunct{}{}{,}{s}{}{\textsuperscript{,}}%
+  \let\onlinecite\rev@citealpnum
+ }%
+}%
+\def\make@footnote@endnote{%
+ \footinbib@sw{%
+  \authoryear@sw{\authornum@sw{\false@sw}{\true@sw}}{\false@sw}%
+  {}{%
+   \ltx@footnote@push
+   \def\thempfn{Note\thefootnote}%
+   \let\ltx@footmark\rev@citemark
+   \let\ltx@foottext\rev@endtext
+   \appdef\class@enddocumenthook{\auto@bib}%
+   \let\printendnotes\relax
+  }%
+ }{}%
+}%
+\def\aipreprint{%
+}%
+\def\aippreprint{%
+}%
+\endinput
+%%
+%% End of file `aip4-1.rtx'.
diff --git a/Master/texmf-dist/tex/latex/revtex/10pt.rtx b/Master/texmf-dist/tex/latex/revtex/aps10pt4-1.rtx
index 73557631c48..05f992d53da 100644
--- a/Master/texmf-dist/tex/latex/revtex/10pt.rtx
+++ b/Master/texmf-dist/tex/latex/revtex/aps10pt4-1.rtx
@@ -1,24 +1,33 @@
 %%
-%% This is file `10pt.rtx',
+%% This is file `aps10pt4-1.rtx',
 %% generated with the docstrip utility.
 %%
 %% The original source files were:
 %%
-%% revtex4.dtx  (with options: `10pt')
+%% revtex4-1.dtx  (with options: `10pt')
 %% 
 %% 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:ogawa@teleport.com)
+%% Modified by Arthur Ogawa (mailto:arthur_ogawa at sbcglobal dot net)
 %% 
-%% Copyright (c) 1999 The American Physical Society.
+%% Copyright (c) 2009 The American Physical Society.
 %% http://publish.aps.org/revtex4/
 %% mailto:revtex4@aps.org
 %% 
 %% See the REVTeX 4 README file for restrictions and more information.
 %% 
-\ProvidesFile{10pt.rtx}
-          [2001/08/02 v4.0 (http://publish.aps.org/revtex4/ for documentation)]%FileInfo
+\ProvidesFile{aps10pt4-1}
+ [2009/10/08:11:23 4.1g (http://publish.aps.org/revtex4/ for documentation)]%FileInfo
+\ifx\undefined\substyle@ext
+ \def\@tempa{%
+  \endinput
+  \GenericWarning{I must be read in by REVTeX! (Bailing out)}%
+ }%
+ \expandafter\else
+  \def\@tempa{}%
+ \expandafter\fi\@tempa
+ \class@info{RevTeX pointsize 10pt selected}%
 \def\normalsize{%
    \@setfontsize\normalsize\@xpt{11.5}%
    \abovedisplayskip 10\p@ \@plus2\p@ \@minus5\p@
@@ -74,7 +83,7 @@
 \def\Huge{%
  \@setfontsize\Huge\@xxvpt{30pt}%
 }%
- \@ifxundefined\twoside@sw{\@booleanfalse\twoside@sw}{}%
+\appdef\setup@hook{%
  \twoside@sw{%
     \oddsidemargin  -20pt
     \evensidemargin -20pt
@@ -84,6 +93,7 @@
     \evensidemargin -.25in
     \marginparwidth 30pt
  }%
+}%
 \marginparsep 6pt
 \topmargin -61pt
 \headheight 25pt
@@ -160,4 +170,4 @@
 }%
 \endinput
 %%
-%% End of file `10pt.rtx'.
+%% End of file `aps10pt4-1.rtx'.
diff --git a/Master/texmf-dist/tex/latex/revtex/11pt.rtx b/Master/texmf-dist/tex/latex/revtex/aps11pt4-1.rtx
index d80c3857bc6..51c472301ce 100644
--- a/Master/texmf-dist/tex/latex/revtex/11pt.rtx
+++ b/Master/texmf-dist/tex/latex/revtex/aps11pt4-1.rtx
@@ -1,24 +1,33 @@
 %%
-%% This is file `11pt.rtx',
+%% This is file `aps11pt4-1.rtx',
 %% generated with the docstrip utility.
 %%
 %% The original source files were:
 %%
-%% revtex4.dtx  (with options: `11pt')
+%% revtex4-1.dtx  (with options: `11pt')
 %% 
 %% 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:ogawa@teleport.com)
+%% Modified by Arthur Ogawa (mailto:arthur_ogawa at sbcglobal dot net)
 %% 
-%% Copyright (c) 1999 The American Physical Society.
+%% Copyright (c) 2009 The American Physical Society.
 %% http://publish.aps.org/revtex4/
 %% mailto:revtex4@aps.org
 %% 
 %% See the REVTeX 4 README file for restrictions and more information.
 %% 
-\ProvidesFile{11pt.rtx}
-          [2001/08/02 v4.0 (http://publish.aps.org/revtex4/ for documentation)]%FileInfo
+\ProvidesFile{aps11pt4-1}
+ [2009/10/08:11:23 4.1g (http://publish.aps.org/revtex4/ for documentation)]%FileInfo
+\ifx\undefined\substyle@ext
+ \def\@tempa{%
+  \endinput
+  \GenericWarning{I must be read in by REVTeX! (Bailing out)}%
+ }%
+ \expandafter\else
+  \def\@tempa{}%
+ \expandafter\fi\@tempa
+ \class@info{RevTeX pointsize 11pt selected}%
 \def\normalsize{%
     \@setfontsize\normalsize\@xipt{13.6}%
     \abovedisplayskip 11\p@ \@plus3\p@ \@minus6\p@
@@ -72,7 +81,7 @@
 \def\Huge{%
   \@setfontsize\Huge\@xxvpt{30pt}%
 }%
- \@ifxundefined\twoside@sw{\@booleanfalse\twoside@sw}{}%
+\appdef\setup@hook{%
  \twoside@sw{%
   \oddsidemargin   0pt
   \evensidemargin  0pt
@@ -82,19 +91,21 @@
   \evensidemargin 0pt
   \marginparwidth 44pt
  }%
+}%
 \marginparsep 10pt
 \topmargin -37pt
 \headheight 12pt
 \headsep 25pt
 \topskip 10pt
 \footskip 30pt
- \@ifxundefined\tightenlines@sw{\@booleanfalse\tightenlines@sw}{}%
- \textheight=665.5\p@
+\textheight=665.5\p@
+\appdef\setup@hook{%
  \tightenlines@sw{%
   \def\baselinestretch{1}%
  }{%
   \def\baselinestretch{1.5}%
  }%
+}%
 \textwidth 468pt
 \columnsep 10pt
 \columnseprule 0pt
@@ -151,4 +162,4 @@
 }%
 \endinput
 %%
-%% End of file `11pt.rtx'.
+%% End of file `aps11pt4-1.rtx'.
diff --git a/Master/texmf-dist/tex/latex/revtex/12pt.rtx b/Master/texmf-dist/tex/latex/revtex/aps12pt4-1.rtx
index b33c2797e20..e818991105b 100644
--- a/Master/texmf-dist/tex/latex/revtex/12pt.rtx
+++ b/Master/texmf-dist/tex/latex/revtex/aps12pt4-1.rtx
@@ -1,24 +1,33 @@
 %%
-%% This is file `12pt.rtx',
+%% This is file `aps12pt4-1.rtx',
 %% generated with the docstrip utility.
 %%
 %% The original source files were:
 %%
-%% revtex4.dtx  (with options: `12pt')
+%% revtex4-1.dtx  (with options: `12pt')
 %% 
 %% 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:ogawa@teleport.com)
+%% Modified by Arthur Ogawa (mailto:arthur_ogawa at sbcglobal dot net)
 %% 
-%% Copyright (c) 1999 The American Physical Society.
+%% Copyright (c) 2009 The American Physical Society.
 %% http://publish.aps.org/revtex4/
 %% mailto:revtex4@aps.org
 %% 
 %% See the REVTeX 4 README file for restrictions and more information.
 %% 
-\ProvidesFile{12pt.rtx}
-          [2001/08/02 v4.0 (http://publish.aps.org/revtex4/ for documentation)]%FileInfo
+\ProvidesFile{aps12pt4-1}
+ [2009/10/08:11:23 4.1g (http://publish.aps.org/revtex4/ for documentation)]%FileInfo
+\ifx\undefined\substyle@ext
+ \def\@tempa{%
+  \endinput
+  \GenericWarning{I must be read in by REVTeX! (Bailing out)}%
+ }%
+ \expandafter\else
+  \def\@tempa{}%
+ \expandafter\fi\@tempa
+ \class@info{RevTeX pointsize 12pt selected}%
 \def\normalsize{%
   \@setfontsize\normalsize\@xiipt{14pt}%
   \abovedisplayskip 12\p@ \@plus3\p@ \@minus7\p@
@@ -72,7 +81,7 @@
     \@setfontsize\huge\@xxvpt{30pt}%
 }%
 \let\Huge=\huge
- \@ifxundefined\twoside@sw{\@booleanfalse\twoside@sw}{}%
+\appdef\setup@hook{%
  \twoside@sw{%
   \oddsidemargin   0pt
   \evensidemargin  0pt
@@ -82,19 +91,21 @@
   \evensidemargin 0pt
   \marginparwidth 44pt
  }%
+}%
 \marginparsep 10pt
 \topmargin -37pt
 \headheight 12pt
 \headsep 25pt
 \topskip 10pt
 \footskip 30pt
- \@ifxundefined\tightenlines@sw{\@booleanfalse\tightenlines@sw}{}%
- \textheight=665.5\p@
+\textheight=665.5\p@
+\appdef\setup@hook{%
  \tightenlines@sw{%
   \def\baselinestretch{1}%
  }{%
   \def\baselinestretch{1.5}%
  }%
+}%
 \textwidth 468pt
 \columnsep 10pt
 \columnseprule 0pt
@@ -151,4 +162,4 @@
 }%
 \endinput
 %%
-%% End of file `12pt.rtx'.
+%% End of file `aps12pt4-1.rtx'.
diff --git a/Master/texmf-dist/tex/latex/revtex/aps.rtx b/Master/texmf-dist/tex/latex/revtex/aps4-1.rtx
index d594319714b..f395d9c9e9f 100644
--- a/Master/texmf-dist/tex/latex/revtex/aps.rtx
+++ b/Master/texmf-dist/tex/latex/revtex/aps4-1.rtx
@@ -1,25 +1,25 @@
 %%
-%% This is file `aps.rtx',
+%% This is file `aps4-1.rtx',
 %% generated with the docstrip utility.
 %%
 %% The original source files were:
 %%
-%% revtex4.dtx  (with options: `aps')
+%% revtex4-1.dtx  (with options: `aps')
 %% 
 %% 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:ogawa@teleport.com)
+%% Modified by Arthur Ogawa (mailto:arthur_ogawa at sbcglobal dot net)
 %% 
-%% Copyright (c) 1999 The American Physical Society.
+%% Copyright (c) 2009 The American Physical Society.
 %% http://publish.aps.org/revtex4/
 %% mailto:revtex4@aps.org
 %% 
 %% See the REVTeX 4 README file for restrictions and more information.
 %% 
-\NeedsTeXFormat{LaTeX2e}[1996/12/01]
-\ProvidesFile{aps.rtx}
-          [2001/08/02 v4.0 (http://publish.aps.org/revtex4/ for documentation)]%FileInfo
+\NeedsTeXFormat{LaTeX2e}[1996/12/01]%
+\ProvidesFile{aps4-1}
+ [2009/10/08:11:23 4.1g (http://publish.aps.org/revtex4/ for documentation)]%FileInfo
 \ifx\undefined\substyle@ext
  \def\@tempa{%
   \endinput
@@ -28,59 +28,81 @@
  \expandafter\else
   \def\@tempa{}%
  \expandafter\fi\@tempa
-\def\ao{Appl.\  Opt.\ }
-\def\ap{Appl.\  Phys.\ }
-\def\apl{Appl.\ Phys.\ Lett.\ }
-\def\apj{Astrophys.\ J.\ }
-\def\bell{Bell Syst.\ Tech.\ J.\ }
-\def\jqe{IEEE J.\ Quantum Electron.\ }
-\def\assp{IEEE Trans.\ Acoust.\ Speech Signal Process.\ }
-\def\aprop{IEEE Trans.\ Antennas Propag.\ }
-\def\mtt{IEEE Trans.\ Microwave Theory Tech.\ }
-\def\iovs{Invest.\ Ophthalmol.\ Vis.\ Sci.\ }
-\def\jcp{J.\ Chem.\ Phys.\ }
-\def\jmo{J.\ Mod.\ Opt.\ }
-\def\josa{J.\ Opt.\ Soc.\ Am.\ }
-\def\josaa{J.\ Opt.\ Soc.\ Am.\ A }
-\def\josab{J.\ Opt.\ Soc.\ Am.\ B }
-\def\jpp{J.\ Phys.\ (Paris) }
-\def\nat{Nature (London) }
-\def\oc{Opt.\ Commun.\ }
-\def\ol{Opt.\ Lett.\ }
-\def\pl{Phys.\ Lett.\ }
-\def\pra{Phys.\ Rev.\ A }
-\def\prb{Phys.\ Rev.\ B }
-\def\prc{Phys.\ Rev.\ C }
-\def\prd{Phys.\ Rev.\ D }
-\def\pre{Phys.\ Rev.\ E }
-\def\prl{Phys.\ Rev.\ Lett.\ }
-\def\rmp{Rev.\ Mod.\ Phys.\ }
-\def\pspie{Proc.\ Soc.\ Photo-Opt.\ Instrum.\ Eng.\ }
-\def\sjqe{Sov.\ J.\ Quantum Electron.\ }
-\def\vr{Vision Res.\ }
+ \class@info{RevTeX society APS selected}%
+\DeclareOption{pra}{\change@journal{pra}}%
+\DeclareOption{prb}{\change@journal{prb}}%
+\DeclareOption{prc}{\change@journal{prc}}%
+\DeclareOption{prd}{\change@journal{prd}}%
+\DeclareOption{pre}{\change@journal{pre}}%
+\DeclareOption{prl}{\change@journal{prl}}%
+\DeclareOption{prstab}{\change@journal{prstab}}%
+\DeclareOption{prstper}{\change@journal{prstper}}%
+\DeclareOption{rmp}{\change@journal{rmp}}%
+\def\ao{Appl.\  Opt.\ }%
+\def\ap{Appl.\  Phys.\ }%
+\def\apl{Appl.\ Phys.\ Lett.\ }%
+\def\apj{Astrophys.\ J.\ }%
+\def\bell{Bell Syst.\ Tech.\ J.\ }%
+\def\jqe{IEEE J.\ Quantum Electron.\ }%
+\def\assp{IEEE Trans.\ Acoust.\ Speech Signal Process.\ }%
+\def\aprop{IEEE Trans.\ Antennas Propag.\ }%
+\def\mtt{IEEE Trans.\ Microwave Theory Tech.\ }%
+\def\iovs{Invest.\ Ophthalmol.\ Vis.\ Sci.\ }%
+\def\jcp{J.\ Chem.\ Phys.\ }%
+\def\jmo{J.\ Mod.\ Opt.\ }%
+\def\josa{J.\ Opt.\ Soc.\ Am.\ }%
+\def\josaa{J.\ Opt.\ Soc.\ Am.\ A }%
+\def\josab{J.\ Opt.\ Soc.\ Am.\ B }%
+\def\jpp{J.\ Phys.\ (Paris) }%
+\def\nat{Nature (London) }%
+\def\oc{Opt.\ Commun.\ }%
+\def\ol{Opt.\ Lett.\ }%
+\def\pl{Phys.\ Lett.\ }%
+\def\pra{Phys.\ Rev.\ A }%
+\def\prb{Phys.\ Rev.\ B }%
+\def\prc{Phys.\ Rev.\ C }%
+\def\prd{Phys.\ Rev.\ D }%
+\def\pre{Phys.\ Rev.\ E }%
+\def\prl{Phys.\ Rev.\ Lett.\ }%
+\def\rmp{Rev.\ Mod.\ Phys.\ }%
+\def\pspie{Proc.\ Soc.\ Photo-Opt.\ Instrum.\ Eng.\ }%
+\def\sjqe{Sov.\ J.\ Quantum Electron.\ }%
+\def\vr{Vision Res.\ }%
 \def\@fnsymbol#1{%
  \ensuremath{%
   \ifcase#1\or
-   *\or                        \dagger                   \or
-   \ddagger                \or \mathsection              \or
+   *\or
+   \dagger\or
+   \ddagger\or
+   \mathsection\or
    \mathparagraph\or
-   **\or                       \dagger\dagger            \or
-   \ddagger\ddagger        \or \mathsection \mathsection \or
+   **\or
+   \dagger\dagger\or
+   \ddagger\ddagger\else
+   \mathsection\mathsection\or
    \mathparagraph\mathparagraph\or
-   *{*}*\ignorespaces      \or \dagger\dagger\dagger     \or
-   \ddagger\ddagger\ddagger\or \mathsection \mathsection \mathsection \or
+   ***\or
+   \dagger\dagger\dagger\or
+   \ddagger\ddagger\ddagger\else
+   \mathsection\mathsection\mathsection\or
    \mathparagraph\mathparagraph\mathparagraph\or
-  \else
    \@ctrerr
   \fi
  }%
 }%
+\appdef\document@inithook{%
+ \@ifxundefined\TextOrMath{%
+  \DeclareRobustCommand\TextOrMath{\@ifmmode{\false@sw}{\true@sw}}%
+ }{}%
+}%
+\let\thefootnote@latex\thefootnote
+\clo@groupedaddress
 \renewenvironment{titlepage}{%
   \let\wastwocol@sw\twocolumn@sw
   \onecolumngrid
   \newpage
   \thispagestyle{titlepage}%
-  \c@page\z@% article sets this to one not zero???
+  \c@page\z@
 }{%
   \wastwocol@sw{\twocolumngrid}{\newpage}%
 }%
@@ -108,17 +130,22 @@
   \advance\leftskip\dimen@
   \advance\rightskip\dimen@
  }%
+ \@totalleftmargin\leftskip
 }%
-\appdef\class@documenthook{%
+\@booleanfalse\preprintsty@sw
+\@booleantrue\titlepage@sw
+\appdef\setup@hook{%
   \preprintsty@sw{%
-   \@ifxundefined\titlepage@sw{\@booleantrue\titlepage@sw}{}%
+   \ps@preprint
    \def\frontmatter@abstractwidth{\textwidth}%
    \def\frontmatter@affiliationfont{\it}%
    \let\section\section@preprintsty
    \let\subsection\subsection@preprintsty
    \let\subsubsection\subsubsection@preprintsty
-  }{}%
- }%
+  }{%
+   \ps@article
+  }%
+}%
 \def\frontmatter@authorformat{%
  \skip@\@flushglue
  \@flushglue\z@ plus.3\hsize\relax
@@ -149,9 +176,6 @@
   \parskip1.5\p@\relax
  }%
 }%
-\@ifxundefined\groupauthors@sw{%
- \clo@groupedaddress
-}{}%
 \def\frontmatter@setup{%
  \normalfont
 }%
@@ -165,7 +189,7 @@
  }%
 }%
 \def\frontmatter@authorbelow{%
-\addvspace{3\p@}%
+ \addvspace{3\p@}%
 }%
 \def\frontmatter@RRAP@format{%
   \small
@@ -192,7 +216,9 @@
 \def\ps@titlepage{%
   \def\@oddhead{%
    \hfill
-   \produce@preprints\@preprint
+   \preprint@sw{%
+    \expandafter\produce@preprints\expandafter{\@preprint}%
+   }{}%
   }%
   \let\@evenhead\@oddhead
   \def\@oddfoot{%
@@ -206,24 +232,25 @@
 }%
 \def\byrevtex{\byrevtex@sw{Typeset by REV\TeX}{}}%
 \def\produce@preprints#1{%
- \preprint@sw{%
-  \vtop to \z@{%
-   \def\baselinestretch{1}%
-   \small
-   \let\preprint\preprint@count
-   \count@\z@#1\@ifnum{\count@>\tw@}{%
-    \hbox{%
-     \let\preprint\preprint@hlist
-     #1\setbox\z@\lastbox
-    }%
-   }{%
-    \let\preprint\preprint@cr
-    \halign{\hfil##\cr#1\crcr}%
-    \par
-    \vss
+ \vtop to \z@{%
+  \def\baselinestretch{1}%
+  \small
+  \let\preprint\preprint@count
+  \count@\z@
+  #1%
+  \@ifnum{\count@>\tw@}{%
+   \hbox{%
+    \let\preprint\preprint@hlist
+    #1%
+    \setbox\z@\lastbox
    }%
+  }{%
+   \let\preprint\preprint@cr
+   \halign{\hfil##\cr#1\crcr}%
+   \par
+   \vss
   }%
- }{}%
+ }%
 }%
 \def\preprint@cr#1{#1\cr}%
 \def\preprint@count#1{\advance\count@\@ne}%
@@ -243,6 +270,7 @@
     }%
 }%
 \def\@hangfrom@section#1#2#3{\@hangfrom{#1#2}\MakeTextUppercase{#3}}%
+\def\@hangfroms@section#1#2{#1\MakeTextUppercase{#2}}%
 \def\subsection{%
   \@startsection
     {subsection}%
@@ -318,13 +346,12 @@
      \normalfont\small\itshape
     }%
 }%
- \@ifxundefined\frontmatter@footnote@produce{%
-  \let\frontmatter@footnote@produce\frontmatter@footnote@produce@endnote
- }{}%
-\def\@pnumwidth{1.55em}
-\def\@tocrmarg {2.55em}
-\def\@dotsep{4.5pt}
-\setcounter{tocdepth}{3}
+\let\frontmatter@footnote@produce\frontmatter@footnote@produce@footnote
+\def\@pnumwidth{1.55em}%
+\def\@tocrmarg {2.55em}%
+\def\@dotsep{2}%
+\def\ltxu@dotsep{4.5pt}%
+\setcounter{tocdepth}{3}%
 \def\tableofcontents{%
  \addtocontents{toc}{\string\tocdepth@munge}%
  \print@toc{toc}%
@@ -340,14 +367,14 @@
 }%
 \def\l@part#1#2{\addpenalty{\@secpenalty}%
  \begingroup
-  \set@tocdim@pagenum{#2}%
+  \set@tocdim@pagenum\@tempboxa{#2}%
   \parindent \z@
   \rightskip\tocleft@pagenum plus 1fil\relax
   \skip@\parfillskip\parfillskip\z@
   \addvspace{2.25em plus\p@}%
   \large \bf %
   \leavevmode\ignorespaces#1\unskip\nobreak\hskip\skip@
-  \hb@xt@\rightskip{\hfil\unhbox\z@}\hskip-\rightskip\hskip\z@skip
+  \hb@xt@\rightskip{\hfil\unhbox\@tempboxa}\hskip-\rightskip\hskip\z@skip
   \par
   \nobreak %
  \endgroup
@@ -360,7 +387,7 @@
 \def\l@f@section{%
  \addpenalty{\@secpenalty}%
  \addvspace{1.0em plus\p@}%
- \bf
+ %\bf
 }%
 \def\l@subsection{%
  \l@@sections{section}{subsection}% Implicit #3#4
@@ -372,14 +399,7 @@
 \def\l@subparagraph#1#2{}%
 \let\toc@pre\toc@pre@auto
 \let\toc@post\toc@post@auto
-\def\listoffigures{\print@toc{lof}}%
-\def\l@figure{\@dottedtocline{1}{1.5em}{2.3em}}
-\def\listoftables{\print@toc{lot}}%
-\let\l@table\l@figure
-\appdef\class@documenthook{%
- \@ifxundefined\raggedcolumn@sw{\@booleantrue\raggedcolumn@sw}{}%
- \raggedcolumn@sw{\raggedbottom}{\flushbottom}%
-}%
+\@booleantrue\raggedcolumn@sw
 \def\tableft@skip@float{\z@ plus\hsize}%
 \def\tabmid@skip@float{\@flushglue}%
 \def\tabright@skip@float{\z@ plus\hsize}%
@@ -387,14 +407,12 @@
 \def\array@row@pst@float{\noalign{\vskip\doublerulesep}\hline\hline}%
 \def\@makefntext#1{%
  \def\baselinestretch{1}%
- \reset@font
- \footnotesize
- \leftskip1em
- \parindent1em
- \noindent\nobreak\hskip-\leftskip
+ \leftskip1em%
+ \parindent1em%
+ \noindent
+ \nobreak\hskip-\leftskip
  \hb@xt@\leftskip{%
-  \Hy@raisedlink{\hyper@anchorstart{footnote@\the\c@footnote}\hyper@anchorend}%
-  \hss\@makefnmark\
+  \hss\@makefnmark\ %
  }%
  #1%
  \par
@@ -402,7 +420,6 @@
 \prepdef\appendix{%
  \par
  \let\@hangfrom@section\@hangfrom@appendix
- \let\@hangfroms@section\@hangfroms@appendix
  \let\@sectioncntformat\@appendixcntformat
 }%
 \def\@hangfrom@appendix#1#2#3{%
@@ -417,43 +434,59 @@
  #1#2%
 }%
 \def\@appendixcntformat#1{\appendixname\ \csname the#1\endcsname}%
+\@booleanfalse\authoryear@sw
+\appdef\setup@hook{%
  \bibpunct{[}{]}{,}{n}{}{,}%
+}%
+ \def\pre@bibdata{\jobname\bibdata@app}%
+\appdef\setup@hook{%
  \def\bibsection{%
   \par
   \onecolumngrid@push
   \begingroup
    \baselineskip26\p@
    \bib@device{\textwidth}{245.5\p@}%
- \endgroup
+  \endgroup
   \nobreak\@nobreaktrue
   \addvspace{19\p@}%
   \par
   \onecolumngrid@pop
  }%
+}%
 \def\bib@device#1#2{%
-\hb@xt@#1{%
- \hfil
- \phantomsection
-  \addcontentsline {toc}{section}{\protect\numberline{}\refname}%
- \hb@xt@#2{%
-  \skip@\z@\@plus-1fil\relax
-                        \leaders\hrule height.25 \p@ depth.25 \p@ \hskip\z@\@plus1fil
-\hskip\skip@
-\hskip\z@\@plus0.125fil\leaders\hrule height.375\p@ depth.375\p@ \hskip\z@\@plus0.75fil \hskip\z@\@plus0.125fil
-\hskip\skip@
-\hskip\z@\@plus0.25 fil\leaders\hrule height.5  \p@ depth.5  \p@ \hskip\z@\@plus0.5 fil \hskip\z@\@plus0.25 fil
-\hskip\skip@
-\hskip\z@\@plus0.375fil\leaders\hrule height.625\p@ depth.625\p@ \hskip\z@\@plus0.25fil \hskip\z@\@plus0.375fil
+ \hb@xt@\z@{%
+  \hb@xt@#1{%
+   \hfil
+   \phantomsection
+   \addcontentsline {toc}{section}{\protect\numberline{}\refname}%
+   \hb@xt@#2{%
+    \skip@\z@\@plus-1fil\relax
+                           \leaders\hrule height.25 \p@ depth.25 \p@ \hskip\z@\@plus1fil
+    \hskip\skip@
+    \hskip\z@\@plus0.125fil\leaders\hrule height.375\p@ depth.375\p@ \hskip\z@\@plus0.75fil \hskip\z@\@plus0.125fil
+    \hskip\skip@
+    \hskip\z@\@plus0.25 fil\leaders\hrule height.5  \p@ depth.5  \p@ \hskip\z@\@plus0.5 fil \hskip\z@\@plus0.25 fil
+    \hskip\skip@
+    \hskip\z@\@plus0.375fil\leaders\hrule height.625\p@ depth.625\p@ \hskip\z@\@plus0.25fil \hskip\z@\@plus0.375fil
+ %  \hskip\skip@
+ %  \hfil
+   }%
+   \hfil
+  }%
+  \hss
  }%
-\hfil
 }%
+\appdef\setup@hook{%
+ \let\bibpreamble\@empty
+ \bibsep\z@\relax
+ \def\newblock{\ }%
 }%
-\let\bibpreamble\@empty
-\bibsep\z@\relax
-\def\newblock{\ }%
+\appdef\setup@hook{%
  \def\bibfont{%
   \small
+  \@clubpenalty\clubpenalty
  }%
+}%
 \newenvironment{theindex}{%
  \columnseprule \z@
  \columnsep 35\p@
@@ -467,55 +500,56 @@
  \onecolumngrid@pop
 }{%
 }%
-\def\@idxitem{\par\hangindent 40\p@}
-\def\subitem{\par\hangindent 40\p@ \hspace*{20\p@}}
-\def\subsubitem{\par\hangindent 40\p@ \hspace*{30\p@}}
-\def\indexspace{\par \vskip 10\p@ plus5\p@ minus3\p@\relax}
-\def\journal@pra{pra}%
-\def\journal@prb{prb}%
-\def\journal@prc{prc}%
-\def\journal@prd{prd}%
-\def\journal@pre{pre}%
-\def\journal@prl{prl}%
-\def\journal@prstab{prstab}%
-\def\journal@rmp{rmp}%
-\@ifx{\@journal\journal@pra}{%
-}{}%
-\@ifx{\@journal\journal@prb}{%
- \@ifxundefined\bibnotes@sw{\@booleantrue\bibnotes@sw}{}%
- \bibpunct{}{}{,}{s}{}{\textsuperscript{,}}%
- \def\@onlinecite#1{\begingroup\let\@cite\NAT@citenum\citealp{#1}\endgroup}%
- \appdef\class@documenthook{%
-  \@ifxundefined\place@bibnumber{%
-   \let\place@bibnumber\place@bibnumber@sup
-  }{}%
+\def\@idxitem{\par\hangindent 40\p@}%
+\def\subitem{\par\hangindent 40\p@ \hspace*{20\p@}}%
+\def\subsubitem{\par\hangindent 40\p@ \hspace*{30\p@}}%
+\def\indexspace{\par \vskip 10\p@ plus5\p@ minus3\p@\relax}%
+\def\@journal@default{pra}%
+\def\@pointsize@default{10}%
+\def\rtx@apspra{%
+ \class@info{APS journal PRA selected}%
+}%
+\def\rtx@apsprb{%
+ \class@info{APS journal PRB selected}%
+ \let\frontmatter@footnote@produce\frontmatter@footnote@produce@endnote
+ \appdef\setup@hook{%
+  \bibpunct{}{}{,}{s}{}{\textsuperscript{,}}%
+  \let\onlinecite\rev@citealpnum
  }%
-}{}%
-\@ifx{\@journal\journal@prc}{%
-}{}%
-\@ifx{\@journal\journal@prd}{%
-}{}%
-\@ifx{\@journal\journal@pre}{%
-}{}%
-\@ifx{\@journal\journal@prl}{%
- \@ifxundefined\bibnotes@sw{\@booleantrue\bibnotes@sw}{}%
+ \def\pre@bibdata{\jobname\bibdata@app}%
+ \let\place@bibnumber\place@bibnumber@sup
+}%
+\def\rtx@apsprc{%
+ \class@info{APS journal PRC selected}%
+}%
+\def\rtx@apsprd{%
+ \class@info{APS journal PRD selected}%
+}%
+\def\rtx@apspre{%
+ \class@info{APS journal PRE selected}%
+}%
+\def\rtx@apsprl{%
+ \class@info{APS journal PRL selected}%
+ \let\frontmatter@footnote@produce\frontmatter@footnote@produce@endnote
  \@booleanfalse\acknowledgments@sw
- \def\bibsection{%
-  \par
-  \begingroup
-   \baselineskip26\p@
-   \bib@device{\hsize}{72\p@}%
- \endgroup
-  \nobreak\@nobreaktrue
-  \addvspace{19\p@}%
+ \appdef\setup@hook{%
+  \def\bibsection{%
+   \par
+   \begingroup
+    \baselineskip26\p@
+    \bib@device{\hsize}{72\p@}%
+   \endgroup
+   \nobreak\@nobreaktrue
+   \addvspace{19\p@}%
+  }%
  }%
- \@ifxundefined\lengthcheck@sw{\@booleanfalse\lengthcheck@sw}{}%
+\appdef\setup@hook{%
   \lengthcheck@sw{%
    \RequirePackage{times}%
-  }{%
-  }%
+  }{}%
+}%
  \c@secnumdepth=-\maxdimen
- \appdef\set@typesize@hook{%
+ \appdef\setup@hook{%
   \@ifnum{\@pointsize=10\relax}{%
    \lengthcheck@sw{%
     \def\large{%
@@ -552,22 +586,31 @@
    }%
   }{}%
  }%
-  \@ifnum{\@pointsize=10\relax}{%
-   \textheight = 694.0\p@
-  }{}%
-}{}%
-\@ifx{\@journal\journal@prstab}{%
-}{}%
-\@ifx{\@journal\journal@rmp}{\input{\@journal\substyle@ext}}{}%
-\@ifxundefined\footinbib@sw{\@booleantrue\footinbib@sw}{}%
-\appdef\class@documenthook{%
- \@ifxundefined\place@bibnumber{%
-  \let\place@bibnumber\place@bibnumber@inl
+ \textheight = 694.0\p@
+}%
+\def\rtx@apsprstper{%
+ \class@info{APS journal PRST-PER selected}%
+ \rtx@apsprb
+}%
+\def\rtx@apsprstab{%
+ \class@info{APS journal PRSTAB selected}%
+}%
+\@booleantrue\footinbib@sw
+\let\place@bibnumber\place@bibnumber@inl
+\def\@bibstyle{apsrev\substyle@post}%
+\appdef\setup@hook{%
+ \longbibliography@sw{%
+  \appdef\@bibstyle{long}%
  }{}%
- \@ifxundefined\@bibstyle{%
-  \def\@bibstyle{apsrev}%
+}%
+\appdef\setup@hook{%
+ \@ifx{\place@bibnumber\place@bibnumber@sup}{%
+  \footinbib@sw{}{%
+   \class@warn{Citations are superscript numbers: footnotes must be endnotes; changing to that configuration}%
+   \@booleantrue\footinbib@sw
+  }%
  }{}%
 }%
 \endinput
 %%
-%% End of file `aps.rtx'.
+%% End of file `aps4-1.rtx'.
diff --git a/Master/texmf-dist/tex/latex/revtex/rmp.rtx b/Master/texmf-dist/tex/latex/revtex/apsrmp4-1.rtx
index fef6a4785e0..d62f853a0b8 100644
--- a/Master/texmf-dist/tex/latex/revtex/rmp.rtx
+++ b/Master/texmf-dist/tex/latex/revtex/apsrmp4-1.rtx
@@ -1,25 +1,25 @@
 %%
-%% This is file `rmp.rtx',
+%% This is file `apsrmp4-1.rtx',
 %% generated with the docstrip utility.
 %%
 %% The original source files were:
 %%
-%% revtex4.dtx  (with options: `rmp')
+%% revtex4-1.dtx  (with options: `rmp')
 %% 
 %% 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:ogawa@teleport.com)
+%% Modified by Arthur Ogawa (mailto:arthur_ogawa at sbcglobal dot net)
 %% 
-%% Copyright (c) 1999 The American Physical Society.
+%% Copyright (c) 2009 The American Physical Society.
 %% http://publish.aps.org/revtex4/
 %% mailto:revtex4@aps.org
 %% 
 %% See the REVTeX 4 README file for restrictions and more information.
 %% 
-\NeedsTeXFormat{LaTeX2e}[1996/12/01]
-\ProvidesFile{rmp.rtx}
-          [2001/08/02 v4.0 (http://publish.aps.org/revtex4/ for documentation)]%FileInfo
+\NeedsTeXFormat{LaTeX2e}[1996/12/01]%
+\ProvidesFile{apsrmp4-1}
+ [2009/10/08:11:23 4.1g (http://publish.aps.org/revtex4/ for documentation)]%FileInfo
 \ifx\undefined\substyle@ext
  \def\@tempa{%
   \endinput
@@ -28,12 +28,12 @@
  \expandafter\else
   \def\@tempa{}%
  \expandafter\fi\@tempa
-\@ifx@empty\@journal{%
- \class@warn{I have to read in the aps substyle first!}%
- \endinput
- \def\@society{aps}\def\@journal{rmp}%
- \expandafter\input\expandafter{\@society\substyle@ext}%
+\@ifxundefined\@journal{%
+ \class@warn{Please specify the REVTeX options [aps,rmp]!}%
+ \@@end
 }{}%
+ \class@info{APS journal RMP selected}%
+\clo@groupedaddress
 \def\frontmatter@setup{%
  \normalfont\sffamily\raggedright
 }%
@@ -44,28 +44,30 @@
 \def\frontmatter@authorformat{%
  \preprintsty@sw{\vskip0.5pc\relax}{}%
  \@tempskipa\@flushglue
- \@flushglue\z@ plus50\p@\relax
+ \@flushglue\z@ plus.8\hsize
  \raggedright\advance\leftskip.5in\relax
  \@flushglue\@tempskipa
  \parskip\z@skip
+ \@totalleftmargin\leftskip
 }%
 \def\frontmatter@affiliationfont{% Helvetica 9/10.2
  \small\slshape\selectfont\baselineskip10.5\p@\relax
  \@tempskipa\@flushglue
- \@flushglue\z@ plus50\p@\relax
+ \@flushglue\z@ plus.8\hsize
  \raggedright\advance\leftskip.5in\relax
  \@flushglue\@tempskipa
+ \@totalleftmargin\leftskip
+ \let\def@after@address\def@after@address@empty
 }%
 \def\frontmatter@above@affilgroup{\addvspace{7.2\p@}}% additional leading above an author
 \def\frontmatter@above@affiliation{\addvspace{5.3\p@}}%
 \def\frontmatter@above@affiliation@script{}%
-\@ifxundefined\groupauthors@sw{%
- \clo@groupedaddress
-}{}%
+\clo@groupedaddress
 \def\frontmatter@RRAP@format{%
   \addvspace{7.3\p@}%
   \small
   \raggedright\advance\leftskip.5in\relax
+ \@totalleftmargin\leftskip
 }%
 \def\produce@RRAP#1{%
   \@if@empty{#1}{}{%
@@ -87,39 +89,51 @@
  \footnotesize
  \hsize360\p@
  \leftskip=0.5in
- \advance\hsize\leftskip
  \parindent\z@
+ \@totalleftmargin\leftskip
 }%
 \def\frontmatter@preabstractspace{7.7\p@}%
 \def\frontmatter@postabstractspace{24.6\p@}%
- \appdef\set@typesize@hook{%
-  \@ifxundefined\preprintsty@sw{}{%
-   \preprintsty@sw{}{%
-    \def\normalsize{%
-     \@setsize\normalsize{12pt}\xpt\@xpt
-     \abovedisplayskip 10\p@ plus2\p@ minus5\p@
-     \belowdisplayskip \abovedisplayskip
-     \abovedisplayshortskip  \abovedisplayskip
-     \belowdisplayshortskip \abovedisplayskip
-     \let\@listi\@listI
-    }%
+ \appdef\setup@hook{%
+  \preprintsty@sw{}{%
+   \def\normalsize{%
+    \@setsize\normalsize{12pt}\xpt\@xpt
+    \abovedisplayskip 10\p@ plus2\p@ minus5\p@
+    \belowdisplayskip \abovedisplayskip
+    \abovedisplayshortskip  \abovedisplayskip
+    \belowdisplayshortskip \abovedisplayskip
+    \let\@listi\@listI
    }%
   }%
  }%
  \footnotesep 9.25pt
  \skip\footins 36pt plus 4pt minus 2pt
  \def\footnoterule{\kern-13pt\hrule width.5in\kern15.6pt\relax}%
-\def\thepart{\Roman{part}} %
-\def\thesection{\Roman{section}}
-\def\p@section{}
-\def\thesubsection{\Alph{subsection}}
-\def\p@subsection{\thesection.}
-\def\thesubsubsection{\arabic{subsubsection}}
-\def\p@subsubsection{\thesection.\thesubsection.}
-\def\theparagraph{\alph{paragraph}}
-\def\p@paragraph{\thesection.\thesubsection.\thesubsubsection.}
-\def\thesubparagraph{\arabic{subparagraph}}
-\def\p@subparagraph{\thesection.\thesubsection.\thesubsubsection.\theparagraph.}
+\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\@seccntformat#1{\csname the#1\endcsname.\hskip0.5em\relax}%
  \def\section{%
   \@startsection{section}{1}{\z@}{0.8cm plus1ex minus.2ex}{0.4cm}%
@@ -130,6 +144,7 @@
   }%
  }%
  \def\@hangfrom@section#1#2#3{\@hangfrom{#1#2}\MakeTextUppercase{#3}}%
+ \def\@hangfroms@section#1#2{#1\MakeTextUppercase{#2}}%
  \def\subsection{%
   \@startsection{subsection}{2}{\z@}{0.8cm plus1ex minus.2ex}{0.4cm}%
   {%
@@ -161,7 +176,6 @@
  \setcounter{tocdepth}{4}% FIXME: has no effect
 \appdef\appendix{%
  \let\@hangfrom@section\@hangfrom@appendix
- \let\@hangfroms@section\@hangfroms@appendix
  \let\@sectioncntformat\@appendixcntformat
 }%
 \def\@hangfrom@appendix#1#2#3{%
@@ -183,41 +197,43 @@
    \flushing
    \small\rmfamily
    \noindent
-   #1\nobreak\hskip.5em plus.2em\ignorespaces#2\par
+   #1\@caption@fignum@sep#2\par
   }%
   \vskip\belowcaptionskip
 }%
-\appdef\class@documenthook{%
- \@ifxundefined\@bibstyle{%
-  \def\@bibstyle{apsrmp}%
- }{}%
-}%
+\def\@caption@fignum@sep{\nobreak\hskip.5em plus.2em\ignorespaces}%
+\def\@bibstyle{apsrmp\substyle@post}%
+\@booleantrue\authoryear@sw
+\let\cite\citep
+\appdef\setup@hook{%
  \bibpunct{(}{)}{;}{a}{,}{,}%
- \let\cite\citep
-\def\bibsection{%
- \let\@hangfroms@section\@hang@froms
- \section*{\refname}%
- \@nobreaktrue
-}%
-\let\bibpreamble\@empty
-\def\newblock{\ }%
-\bibhang10\p@
-\bibsep\z@
-\@ifxundefined\footinbib@sw{}{%
+ \def\bibsection{%
+  \expandafter\section\expandafter*\expandafter{\refname}%
+  \@nobreaktrue
+ }%
+ \let\bibpreamble\@empty
+ \def\newblock{\ }%
+ \bibhang10\p@
+ \bibsep\z@
+}%
+\@booleanfalse\footinbib@sw
+\appdef\setup@hook{%
  \footinbib@sw{%
   \class@warn{%
    Footnotes in bibliography are incompatible with RMP.^^J%
    Undoing the footinbib option.
   }%
+  \@booleanfalse\footinbib@sw
  }{}%
+ \@ifnum{\NAT@merge>\@ne}{\let\NAT@merge\@ne}{}%
+ \def\NAT@cmprs{\z@}%
 }%
-\@booleanfalse\footinbib@sw
 \def\eprint#1{eprint #1}%
 \def\toc@@font{%
  \footnotesize\rmfamily
  \def\\{\space\ignorespaces}%
 }%
-\def\@dotsep{5.5pt}%
+\def\ltxu@dotsep{5.5pt}%
 \def\tocleft@{\z@}%
 \def\tocdim@min{5\p@}%
 \def\l@section{%
@@ -235,4 +251,4 @@
 \let\toc@post\toc@post@auto
 \endinput
 %%
-%% End of file `rmp.rtx'.
+%% End of file `apsrmp4-1.rtx'.
diff --git a/Master/texmf-dist/tex/latex/revtex/docs.sty b/Master/texmf-dist/tex/latex/revtex/docs.sty
deleted file mode 100644
index f401506cb63..00000000000
--- a/Master/texmf-dist/tex/latex/revtex/docs.sty
+++ /dev/null
@@ -1,129 +0,0 @@
-% authguide.rty - macros for processing revguide.tex under \documentclass{revtex4}
-% Text entities
-\DeclareRobustCommand\SNG{\emph{Physical Review Style and Notation Guide}}
-\DeclareRobustCommand\LUG{\emph{\LaTeX{} User's Guide \& Reference Manual}}
-\DeclareRobustCommand\revtex{REV\TeX}
-\DeclareRobustCommand\marglat{\marginpar[\textbf{2e}]{\textbf{2e}}} 
-\DeclareRobustCommand\margrev{\marginpar[\textbf{4}]{\textbf{4}}} 
-\DeclareRobustCommand\AmS{%
- {\protect\the\textfont\tw@ A\kern-.1667em\lower.5ex\hbox{M}\kern-.125emS}%
-}%
-\DeclareRobustCommand\AmSLaTeX{\AmS-\LaTeX}
-\DeclareRobustCommand\BibTeX{{\rm B}{\sc ib}\TeX}
-%
-% Various forms of self-indexing commands:
-%    \begin{macrocode}
-\DeclareRobustCommand{\m}[1]{%
- \meta{#1}%
- \index{#1=\string\meta{#1} placeholder}\index{placeholder>#1=\string\meta{#1}}%
-}%
-\DeclareRobustCommand\meta[1]{%
- \mbox{\m@th\LANGLE\itshape#1\/\RANGLE}%
-}%
-\def\LANGLE{$\langle$}%
-\def\RANGLE{$\rangle$}%
-\DeclareRobustCommand{\marg}[1]{%
- {\ttfamily\string{}\meta{#1}{\ttfamily\string}}%
- \index{#1=\string\ttt{#1}, argument}\index{argument>#1=\string\ttt{#1}}%
-}%
-\DeclareRobustCommand{\aarg}[1]{%
- {\ttfamily\string{}#1{\ttfamily\string}}%
-}%
-\let\oarg\undefined
-\DeclareRobustCommand{\oarg}[1]{%
- {\ttfamily[%]
-  }\meta{#1}{\ttfamily%[
- ]}%
- \index{#1=\string\ttt{#1}, optional argument}%
- \index{argument, optional>#1=\string\ttt{#1}}%
-}%
-\DeclareRobustCommand\cmd{\begingroup\makeatletter\@cmd}%
-\long\def\@cmd#1{%
- \endgroup
- \cs{\expandafter\cmd@to@cs\string#1}%
- \expandafter\cmd@to@index\string#1\@nil
-}%
-\def\cmd@to@cs#1#2{\char\number`#2\relax}%
-\def\cmd@to@index#1#2\@nil{%
- \index{#2=\string\cmd#1#2}%\index{command>#2=\string\cmd#1#2}%
-}%
-\DeclareRobustCommand\cs[1]{{\ttfamily\char`\\#1}}%
-\def\scmd#1{%
- \cs{\expandafter\cmd@to@cs\string#1}%
- \expandafter\scmd@to@index\string#1\@nil
-}%
-\def\scmd@to@index#1#2\@nil#3{%
- \index{\string$#3=\string\cmd#1#2---#3}%
-%\index{command>\string$#3=\string\cmd#1#2---#3}%
-}%
-\DeclareRobustCommand\env{\name@idx{environment}}%
-\DeclareRobustCommand\envb[1]{%
- {\ttfamily\string\begin\string{}\env{#1}{\ttfamily\string}}%
-}%
-\DeclareRobustCommand\enve[1]{{\ttfamily\string\end\string{}\env{#1}{\ttfamily\string}}}%
-\DeclareRobustCommand*{\file}[1]{%
- {\ttfamily#1}%
- \index{#1=\string\ttt{#1}}\index{file>#1=\string\ttt{#1}}%
-}%
-\DeclareRobustCommand\substyle{\name@idx{document substyle}}%
-\DeclareRobustCommand\classoption{\name@idx{document class option}}%
-\DeclareRobustCommand\classname{\name@idx{document class}}%
-\def\name@idx#1#2{%
- {\ttfamily#2}%
- \index{#2\space#1=\string\ttt{#2}\space#1}\index{#1>#2=\string\ttt{#2}}%
-}%
-%
-% Needed for index:
-%
-\def\ttt{\texttt}%
-\def\pfill{\ }%
-\def\efill{\ }%
-\let\scan@allowedfalse\relax
-%\makeindex
-\AtEndDocument{\@input@{\jobname.ind}\null}%
-%
-% Processing options
-%
-%
-% Layout: override revtex4|aps
-\c@secnumdepth2
-\prepdef\@verbatim{\topsep.5\baselineskip}%
-\renewenvironment{quotation}{%
- \list{}{%
-    \listparindent 10\p@
-    \itemindent\listparindent
-    \leftmargin10\p@
-    \rightmargin\leftmargin
-    \parsep \z@ \@plus\p@
-    \small
- }%
- \item[]%
-}{%
- \endlist
-}%
-\renewenvironment{quote}{%
- \list{}{%
-  \leftmargin\z@
-  \rightmargin\leftmargin
- }\item[]%
-}{%
- \endlist
-}%
-\leftmargini\parindent
-\def\descriptionlabel#1{%
-  \hspace\labelsep\ignorespaces
-  #1\unskip
-}%
-\def\toprule{\hline\hline\frstrut}%
-\def\colrule{\hline\frstrut}%
-\def\frstrut{\vrule height2.5ex width\z@ depth\z@\relax}%
-\def\lrstrut{\vrule height\z@ width\z@ depth.5ex\relax}%
-%
-% Klootches
-%
-\let\savenofiles\nofiles
-%
-% Patches:
-%
-%
-\endinput
diff --git a/Master/texmf-dist/tex/latex/revtex/ltxdocext.sty b/Master/texmf-dist/tex/latex/revtex/ltxdocext.sty
new file mode 100644
index 00000000000..eea5fcc9cac
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/revtex/ltxdocext.sty
@@ -0,0 +1,296 @@
+%%
+%% This is file `ltxdocext.sty',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% ltxdocext.dtx  (with options: `package,kernel')
+%% 
+%% This is a generated file;
+%% altering it directly is inadvisable;
+%% instead, modify the original source file.
+%% See the URL in the file README.
+%% 
+%% License
+%%    You may distribute this file under the conditions of the
+%%    LaTeX Project Public License 1.3 or later
+%%    (http://www.latex-project.org/lppl.txt).
+%% 
+%%    This file is distributed WITHOUT ANY WARRANTY;
+%%    without even the implied warranty of MERCHANTABILITY
+%%    or FITNESS FOR A PARTICULAR PURPOSE.
+%% 
+\NeedsTeXFormat{LaTeX2e}[1995/12/01]%
+\ProvidesFile{ltxdocext.sty}%
+ [2008/08/04 1.1b2 ltxdoc extensions package]% \fileversion
+\def\class@name{ltxdocext}%
+\expandafter\PackageInfo\expandafter{\class@name}{%
+ An extension to the \protect\LaTeXe\space ltxdoc class
+ by A. Ogawa (arthur\_ogawa sbcglobal.net)%
+}%
+\RequirePackage{verbatim}%
+\let\o@verbatim\verbatim
+\def\verbatim{%
+  \ifhmode\unskip\par\fi
+  \ifx\@currsize\normalsize
+     \small
+  \fi
+  \o@verbatim
+}%
+\renewcommand \verbatim@font {%
+  \normalfont \ttfamily
+  \catcode`\<=\active
+  \catcode`\>=\active
+}%
+\RequirePackage{shortvrb}
+\AtBeginDocument{%
+ \MakeShortVerb{\|}%
+}%
+\begingroup
+  \catcode`\<=\active
+  \catcode`\>=\active
+  \gdef<{\@ifnextchar<\@lt\@meta}
+  \gdef>{\@ifnextchar>\@gt\@gtr@err}
+  \gdef\@meta#1>{\marg{#1}}
+  \gdef\@lt<{\char`\<}
+  \gdef\@gt>{\char`\>}
+\endgroup
+\def\@gtr@err{%
+   \ClassError{ltxguide}{%
+      Isolated \protect>%
+   }{%
+      In this document class, \protect<...\protect>
+      is used to indicate a parameter.\MessageBreak
+      I've just found a \protect> on its own.
+      Perhaps you meant to type \protect>\protect>?
+   }%
+}
+\def\verbatim@nolig@list{\do\`\do\,\do\'\do\-}
+\def\GetFileInfo#1{%
+  \def\filename{#1}%
+  \def\@tempb##1 ##2 ##3\relax##4\relax{%
+    \def\filedate{##1}%
+    \def\fileversion{##2}%
+    \def\fileinfo{##3}}%
+  \edef\@tempa{\csname ver@#1\endcsname}%
+  \expandafter\@tempb\@tempa\relax? ? \relax\relax}
+\DeclareRobustCommand{\marg}[1]{%
+ \meta{#1}%
+ \index{#1=\string\meta{#1} placeholder}\index{placeholder>#1=\string\meta{#1}}%
+}%
+\DeclareRobustCommand\meta[1]{%
+ \mbox{\LANGLE\itshape#1\/\RANGLE}%
+}%
+\def\LANGLE{$\langle$}%
+\def\RANGLE{$\rangle$}%
+\DeclareRobustCommand{\arg}[1]{%
+ {\ttfamily\string{}\meta{#1}{\ttfamily\string}}%
+ \index{#1=\string\ttt{#1}, argument}\index{argument>#1=\string\ttt{#1}}%
+}%
+\let\oarg\undefined
+\DeclareRobustCommand{\oarg}[1]{%
+ {\ttfamily[%]
+  }\meta{#1}{\ttfamily%[
+ ]}%
+ \index{#1=\string\ttt{#1}, optional argument}%
+ \index{argument, optional>#1=\string\ttt{#1}}%
+}%
+\DeclareRobustCommand\cmd{\begingroup\makeatletter\@cmd}%
+\long\def\@cmd#1{%
+ \endgroup
+ \cs{\expandafter\cmd@to@cs\string#1}%
+ \expandafter\cmd@to@index\string#1\@nil
+}%
+\def\cmd@to@cs#1#2{\char\number`#2\relax}%
+\def\cmd@to@index#1#2\@nil{%
+ \index{#2=\string\cmd#1#2}%\index{command>#2=\string\cmd#1#2}%
+}%
+\DeclareRobustCommand\cs[1]{{\ttfamily\char`\\#1}}%
+\def\scmd#1{%
+ \cs{\expandafter\cmd@to@cs\string#1}%
+ \expandafter\scmd@to@index\string#1\@nil
+}%
+\def\scmd@to@index#1#2\@nil#3{%
+ \index{\string$#3=\string\cmd#1#2---#3}%
+}%
+\DeclareRobustCommand\env{\name@idx{environment}}%
+\DeclareRobustCommand\envb[1]{%
+ {\ttfamily\string\begin\string{}\env{#1}{\ttfamily\string}}%
+}%
+\DeclareRobustCommand\enve[1]{{\ttfamily\string\end\string{}\env{#1}{\ttfamily\string}}}%
+\DeclareRobustCommand{\file}{\begingroup\@sanitize\@file}%
+\long\def\@file#1{\endgroup
+ {\ttfamily#1}%
+ \index{#1=\string\ttt{#1}}\index{file>#1=\string\ttt{#1}}%
+}%
+\DeclareRobustCommand\substyle{\name@idx{document substyle}}%
+\DeclareRobustCommand\classoption{\name@idx{document class option}}%
+\DeclareRobustCommand\classname{\name@idx{document class}}%
+\def\name@idx#1#2{%
+ {\ttfamily#2}%
+ \index{#2\space#1=\string\ttt{#2}\space#1}\index{#1>#2=\string\ttt{#2}}%
+}%
+\DeclareRobustCommand\url@ltxdocext{\begingroup\catcode`\/\active\catcode`\.\active\catcode`\:\active\@url}%
+\AtBeginDocument{%
+ \ifx\url\undefined\let\url\url@ltxdocext\fi
+}%
+\def\@url#1{%
+ \url@break{\ttfamily#1}%
+ \url@char\edef\@tempa{#1=\string\url{#1}}%
+ \expandafter\index\expandafter{\@tempa}%
+ \expandafter\index\expandafter{\expandafter u\expandafter r\expandafter l\expandafter >\@tempa}%
+ \endgroup
+}%
+{\catcode`\:\active\aftergroup\def\aftergroup:}{\active@colon}%
+\def\colon@break{\colon@char\allowbreak}%
+\def\colon@char{:}%
+{\catcode`\/\active\aftergroup\def\aftergroup/}{\active@slash}%
+\def\slash@break{\slash@char\allowbreak}%
+\def\slash@char{/}%
+{\catcode`\.\active\aftergroup\def\aftergroup.}{\active@dot}%
+\def\dot@break{\dot@char\allowbreak}%
+\def\dot@char{.}%
+\def\url@break{\let\active@slash\slash@break\let\active@dot\dot@break\let\active@colon\colon@break}%
+\def\url@char{\let\active@slash\slash@char\let\active@dot\dot@char\let\active@colon\colon@char}%
+\renewenvironment{theindex}
+               {\if@twocolumn
+                  \@restonecolfalse
+                \else
+                  \@restonecoltrue
+                \fi
+                \columnseprule \z@
+                \columnsep 35\p@
+\def\see##1##2{\textit{See} ##1}%
+\def\seealso##1##2{\textit{See also} ##1}%
+\long\def\cmd##1{\cs{\expandafter\cmd@to@cs\string##1}}%
+\def\@url##1{\url@break\ttt{##1}\endgroup}%
+\def\ttt{\begingroup\@sanitize\ttfamily\@ttt}%
+\def\@ttt##1{##1\endgroup}%
+\mathchardef\save@secnumdepth\c@secnumdepth
+\c@secnumdepth\m@ne
+                \twocolumn[\section{\indexname}]%
+\c@secnumdepth\save@secnumdepth
+                \thispagestyle{plain}\parindent\z@
+                \parskip\z@ \@plus .3\p@\relax
+                \let\item\@idxitem}
+               {\if@restonecol\onecolumn\else\clearpage\fi}
+\renewenvironment{quote}
+               {\list{}{%
+                \leftmargin1em\relax
+                \rightmargin\leftmargin
+                }%
+                \item\relax}
+               {\endlist}
+\newif\if@mainmatter
+\newif\if@openright
+\@openrighttrue
+\DeclareRobustCommand\frontmatter{%
+  \cleartorecto
+  \@mainmatterfalse
+  \pagenumbering{roman}%
+}%
+\DeclareRobustCommand\mainmatter{%
+  \cleartorecto
+  \@mainmattertrue
+  \pagenumbering{arabic}%
+}%
+\DeclareRobustCommand\backmatter{%
+  \if@openright
+    \cleartorecto
+  \else
+    \clearpage
+  \fi
+  \@mainmatterfalse
+}%
+\ifx\undefined\cleartorecto
+ \def\cleartorecto{\cleardoublepage}%
+\fi
+\def\@to{to}%
+\newenvironment{unnumtable}{%
+ \par
+ \addpenalty\predisplaypenalty
+ \addvspace\abovedisplayskip
+ \hbox\@to\hsize\bgroup\hfil\ignorespaces
+  \let\@Hline\@empty
+}{%
+ \unskip\hfil\egroup
+ \penalty\postdisplaypenalty
+ \vskip\belowdisplayskip
+ \aftergroup\ignorespaces
+ \@endpetrue
+}%
+\providecommand\toprule{\hline\hline}%
+\providecommand\colrule{\\\hline}%
+\providecommand\botrule{\\\hline\hline}%
+\DeclareRobustCommand\subsubsubsection{%
+ \@startsection{subsubsection}{4}%
+  {\z@}{-15\p@\@plus-5\p@\@minus-2\p@}%
+  {5\p@}{\normalfont\normalsize\itshape}%
+}%
+\DoNotIndex{\',\.,\@M,\@@input,\@Alph,\@alph,\@addtoreset,\@arabic}
+\DoNotIndex{\@badmath,\@centercr,\@cite}
+\DoNotIndex{\@dotsep,\@empty,\@float,\@gobble,\@gobbletwo,\@ignoretrue}
+\DoNotIndex{\@input,\@ixpt,\@m,\@minus,\@mkboth}
+\DoNotIndex{\@ne,\@nil,\@nomath,\@plus,\roman,\@set@topoint}
+\DoNotIndex{\@tempboxa,\@tempcnta,\@tempdima,\@tempdimb}
+\DoNotIndex{\@tempswafalse,\@tempswatrue,\@viipt,\@viiipt,\@vipt}
+\DoNotIndex{\@vpt,\@warning,\@xiipt,\@xipt,\@xivpt,\@xpt,\@xviipt}
+\DoNotIndex{\@xxpt,\@xxvpt,\\,\ ,\addpenalty,\addtolength,\addvspace}
+\DoNotIndex{\advance,\ast,\begin,\begingroup,\bfseries,\bgroup,\box}
+\DoNotIndex{\bullet}
+\DoNotIndex{\cdot,\cite,\CodelineIndex,\cr,\day,\DeclareOption}
+\DoNotIndex{\def,\DisableCrossrefs,\divide,\DocInput,\documentclass}
+\DoNotIndex{\DoNotIndex,\egroup,\ifdim,\else,\fi,\em,\endtrivlist}
+\DoNotIndex{\EnableCrossrefs,\end,\end@dblfloat,\end@float,\endgroup}
+\DoNotIndex{\endlist,\everycr,\everypar,\ExecuteOptions,\expandafter}
+\DoNotIndex{\fbox}
+\DoNotIndex{\filedate,\filename,\fileversion,\fontsize,\framebox,\gdef}
+\DoNotIndex{\global,\halign,\hangindent,\hbox,\hfil,\hfill,\hrule}
+\DoNotIndex{\hsize,\hskip,\hspace,\hss,\if@tempswa,\ifcase,\or,\fi,\fi}
+\DoNotIndex{\ifhmode,\ifvmode,\ifnum,\iftrue,\ifx,\fi,\fi,\fi,\fi,\fi}
+\DoNotIndex{\input}
+\DoNotIndex{\jobname,\kern,\leavevmode,\let,\leftmark}
+\DoNotIndex{\list,\llap,\long,\m@ne,\m@th,\mark,\markboth,\markright}
+\DoNotIndex{\month,\newcommand,\newcounter,\newenvironment}
+\DoNotIndex{\NeedsTeXFormat,\newdimen}
+\DoNotIndex{\newlength,\newpage,\nobreak,\noindent,\null,\number}
+\DoNotIndex{\numberline,\OldMakeindex,\OnlyDescription,\p@}
+\DoNotIndex{\pagestyle,\par,\paragraph,\paragraphmark,\parfillskip}
+\DoNotIndex{\penalty,\PrintChanges,\PrintIndex,\ProcessOptions}
+\DoNotIndex{\protect,\ProvidesClass,\raggedbottom,\raggedright}
+\DoNotIndex{\refstepcounter,\relax,\renewcommand}
+\DoNotIndex{\rightmargin,\rightmark,\rightskip,\rlap,\rmfamily}
+\DoNotIndex{\secdef,\selectfont,\setbox,\setcounter,\setlength}
+\DoNotIndex{\settowidth,\sfcode,\skip,\sloppy,\slshape,\space}
+\DoNotIndex{\symbol,\the,\trivlist,\typeout,\tw@,\undefined,\uppercase}
+\DoNotIndex{\usecounter,\usefont,\usepackage,\vfil,\vfill,\viiipt}
+\DoNotIndex{\viipt,\vipt,\vskip,\vspace}
+\DoNotIndex{\wd,\xiipt,\year,\z@}
+\DoNotIndex{\next}
+\AtEndDocument{\PrintIndex\PrintChanges}%
+\makeatletter
+\def\endfilecontents{%
+ \immediate\write\reserved@c{%
+  \string\iffalse\space ltxdoc klootch^^J%
+  \ifx\undefined\fileversion\else
+  \ifx\undefined\filedate\else
+  This file has version number \fileversion, last revised \filedate.%
+  \fi\fi
+  \string\fi
+ }%
+ \immediate\closeout\reserved@c
+ \def\T##1##2##3{%
+  \ifx##1\@undefined\else
+    \@latex@warning@no@line{##2 has been converted to Blank ##3e}%
+  \fi
+ }%
+ \T\L{Form Feed}{Lin}%
+ \T\I{Tab}{Spac}%
+ \immediate\write\@unused{}%
+}%
+\expandafter\let\csname endfilecontents*\endcsname\endfilecontents
+\makeatother
+\setlength\arraycolsep{0pt}%
+\endinput
+%%
+%% End of file `ltxdocext.sty'.
diff --git a/Master/texmf-dist/tex/latex/revtex/ltxfront.sty b/Master/texmf-dist/tex/latex/revtex/ltxfront.sty
new file mode 100644
index 00000000000..12f70824624
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/revtex/ltxfront.sty
@@ -0,0 +1,1144 @@
+%%
+%% This is file `ltxfront.sty',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% ltxfront.dtx  (with options: `package,options,kernel')
+%% 
+%% This is a generated file;
+%% altering it directly is inadvisable;
+%% instead, modify the original source file.
+%% See the URL in the file 00readme.tex.
+%% 
+%% License
+%%    You may distribute this file under the conditions of the
+%%    LaTeX Project Public License 1.3 or later
+%%    (http://www.latex-project.org/lppl.txt).
+%% 
+%%    This file is distributed WITHOUT ANY WARRANTY;
+%%    without even the implied warranty of MERCHANTABILITY
+%%    or FITNESS FOR A PARTICULAR PURPOSE.
+%% 
+%%%  @LaTeX-file{
+%%%     filename        = "ltxfront.dtx",
+%%%     version         = "4.1h",
+%%%     date            = "2009/10/09",
+%%%     time            = "11:23:00 GMT+8",
+%%%     checksum        = "2012",
+%%%     author          = "Arthur Ogawa (mailto:arthur_ogawa at sbcglobal.net),
+%%%                        commissioned by the American Physical Society.
+%%%                        ",
+%%%     copyright       = "Copyright (C) 1999, 2009 Arthur Ogawa,
+%%%                        distributed under the terms of the
+%%%                        LaTeX Project Public License, see
+%%%                        ftp://ctan.tug.org/macros/latex/base/lppl.txt
+%%%                        ",
+%%%     address         = "Arthur Ogawa,
+%%%                        USA",
+%%%     telephone       = "",
+%%%     FAX             = "",
+%%%     email           = "mailto colon arthur_ogawa at sbcglobal.net",
+%%%     codetable       = "ISO/ASCII",
+%%%     keywords        = "latex, page grid, main vertical list",
+%%%     supported       = "yes",
+%%%     abstract        = "package to change page grid, MVL",
+%%%     docstring       = "The checksum field above generated by ltxdoc",
+%%%  }
+\NeedsTeXFormat{LaTeX2e}[1995/12/01]%
+\ProvidesFile{ltxfront.sty}%
+ [2009/10/09 4.1h frontmatter package]% \fileversion
+\def\package@name{ltxfront}%
+\expandafter\PackageInfo\expandafter{\package@name}{%
+ Title page macros for \protect\LaTeXe,
+ by A. Ogawa (arthur_ogawa at sbcglobal.net)%
+}%
+\typeout{%
+ ltxfront [2009/10/06/20:20 4.1g]: Arthur Ogawa (after David P. Carlisle)%
+}%
+\let\class@name\package@name
+\RequirePackage{ltxutil}%
+\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
+}%
+\DeclareOption*{\OptionNotUsed}%
+\ProcessOptions*
+\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{%
+ \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{%
+ \move@AU\move@AF
+ \@ifx{\AU@grp\@empty}{}{%
+  \@ifx{\AF@grp\@empty}{%
+   \begingroup
+    \frontmatterverbose@sw{\say\AU@grp}{}%
+    \let\href\@secondoftwo
+    \let\AU@opr\@secondofthree
+    \let\CO@opr\@secondofthree
+    \let\footnote\@gobble
+    \class@warn{Assuming \string\noaffiliation\space for \AU@grp}%
+   \endgroup
+   \@affil@def{}\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{%
+ \move@AU\move@AF
+ \begingroup
+  \cat@comma@active
+  \@affiliation
+}%
+\def\@affiliation#1{%
+ \endgroup
+ \let\@AF@join\@affil@join
+ \@affil@def{#1}%
+}%
+\newcommand\frontmatter@noaffiliation{%
+ \move@AU\move@AF
+ \@affil@def{}\move@AF
+ \move@AUAF
+}%
+\def\blankaffiliation{{}}%
+\def\@affil@cleared{{{}}{}}%
+\appdef\frontmatter@init{%
+ \@affil@init
+}%
+\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 it on the first instance%
+     }%
+    }%
+   }%
+  }%
+  {%
+   \@if@empty{\expandafter\@firstoftwo\@affil}{%
+    \def\@tempc{\z@}%
+    \@argswap@val{\z@}%
+   }{%
+    \advance\c@affil\@ne
+    \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{\the\c@affil}%
+  }%
+  \@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{%
+ \@ifx{\AF@grp\@empty}%
+ {%
+    \@ifx{\@empty\CO@grp}{}{%
+     \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}%
+    \frontmatterverbose@sw{\say\@AAC@list}{}%
+    \@ifx{\@empty\AU@grp}{%
+     \@ifx{\@empty\CO@grp}{%
+      \false@sw
+     }{%
+      \true@sw
+     }%
+    }{%
+     \true@sw
+    }%
+    {%
+     \@ifx{\@empty\AF@grp}{}{%
+      \@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   \@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\url{#2}}%
+}%
+\appdef\class@documenthook{%
+ \providecommand\url{}%
+ \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@err#1#2{%
+}%
+\def\doauthor#1#2#3{%
+  \ignorespaces#1\unskip\@listcomma
+  \begingroup
+  \def\@tempifx{#3}%
+  \@ifx{\@tempifx\@empty}{%
+   \false@sw
+  }{%
+   \@ifnum{\c@affil<\affil@cutoff}{%
+    \false@sw
+   }{%
+    \true@sw
+   }%
+  }%
+  {%
+   #3\aftergroup\true@sw
+  }{%
+   \aftergroup\false@sw
+  }%
+  \@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
+   \protected@xdef\@tempb{\the\csname c@\@mpfn\endcsname}%
+   \expandafter\frontmatter@footnotemark
+   \expandafter{\@tempb}%
+   \expandafter\g@addto@macro
+   \expandafter\@FMN@list
+   \expandafter{%
+   \expandafter \@TBN@opr
+   \expandafter {\@tempb}{#1}%
+               }%
+  }%
+ \endgroup
+}%
+\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{\thempfn}%
+    \@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@mpfootnote\endcsname\@thefnmark}%
+    \color@begingroup
+      \frontmatter@makefntext{%
+        \rule\z@\footnotesep\ignorespaces#1\@finalstrut\strutbox
+      }%
+    \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
+  \let\thefootnote\frontmatter@thefootnote
+  \let\@makefnmark\frontmatter@makefnmark
+  \global\c@footnote\z@
+  \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{\say\@AAC@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
+     \frontmatterverbose@sw{\say\@AFF@list}{}%
+     \@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{}%
+  \@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}{%
+   \let\@tempa\@empty
+   \expandafter\@affil@present@script\@affilID@temp\relax
+  }%
+ \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#1{%
+ \@ifx{\relax#1}{%
+  \@ifx{\@tempa\@empty}{}{%
+   \textsuperscript{\expandafter\@affilcomma\@tempa\relax\relax}%
+  }%
+ }{%
+  \@ifx{\z@#1}{}{\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{\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
+   \frontmatterverbose@sw{\say\@AAC@list}{}%
+   \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@ %space between affilations in grouped mode
+      }%
+      \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@err
+}%
+\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@err
+}%
+\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}{}%
+  \advance\@tempcnta\m@ne
+}%
+\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{\thempfn}%
+  \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}\c@footnote
+}%
+\@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.\the\c@footnote}\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
+}%
+\def\thanks@latex#1{%
+ \footnotemark
+ \expandafter\gappdef
+ \expandafter\@thanks
+ \expandafter{%
+ \expandafter\footnotetext
+ \expandafter[\the\c@footnote]{#1}}%
+}%
+\@booleanfalse\altaffilletter@sw
+\@if@sw\if@titlepage\fi{\@booleantrue}{\@booleanfalse}\titlepage@sw
+\def\frontmatter@title@above{\newpage\null\vskip2em\relax}%
+\def\frontmatter@title@format{\centering\LARGE\let\thanks\thanks@latex}%
+\def\frontmatter@title@below{\vskip1.5em\relax}%
+\def\frontmatter@authorformat{\centering\large\advance\baselineskip\p@\parskip11.5\p@\let\thanks\thanks@latex\let\and\and@space}%
+\def\frontmatter@authorbelow{\vskip 1em\relax}%
+\def\frontmatter@above@affiliation{}%
+\def\frontmatter@above@affiliation@script{}%
+\def\frontmatter@affiliationfont{\centering\itshape}%
+\def\frontmatter@RRAP@format{\centering\large}%
+\def\frontmatter@preabstractspace{1.5em}%
+\def\frontmatter@footnotetext{\footnotetext[\csname c@\@mpfn\endcsname]}%
+\def\and@space{\\}%
+\def\andname{and}%
+\endinput
+%%
+%% End of file `ltxfront.sty'.
diff --git a/Master/texmf-dist/tex/latex/revtex/ltxgrid.sty b/Master/texmf-dist/tex/latex/revtex/ltxgrid.sty
new file mode 100644
index 00000000000..11331e4dc1e
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/revtex/ltxgrid.sty
@@ -0,0 +1,2592 @@
+%%
+%% This is file `ltxgrid.sty',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% ltxgrid.dtx  (with options: `package,kernel')
+%% 
+%% This is a generated file;
+%% altering it directly is inadvisable;
+%% instead, modify the original source file.
+%% See the URL in the file 00readme.tex.
+%% 
+%% License
+%%    You may distribute this file under the conditions of the
+%%    LaTeX Project Public License 1.3 or later
+%%    (http://www.latex-project.org/lppl.txt).
+%% 
+%%    This file is distributed WITHOUT ANY WARRANTY;
+%%    without even the implied warranty of MERCHANTABILITY
+%%    or FITNESS FOR A PARTICULAR PURPOSE.
+%% 
+%%%  @LaTeX-file{
+%%%     filename        = "ltxgrid.dtx",
+%%%     version         = "4.1h",
+%%%     date            = "2009/10/09",
+%%%     time            = "11:23:00 GMT+8",
+%%%     checksum        = "5462",
+%%%     author          = "Arthur Ogawa (mailto:arthur_ogawa at sbcglobal.net),
+%%%                        commissioned by the American Physical Society.
+%%%                        ",
+%%%     copyright       = "Copyright (C) 1999, 2009 Arthur Ogawa,
+%%%                        distributed under the terms of the
+%%%                        LaTeX Project Public License, see
+%%%                        ftp://ctan.tug.org/macros/latex/base/lppl.txt
+%%%                        ",
+%%%     address         = "Arthur Ogawa,
+%%%                        USA",
+%%%     telephone       = "",
+%%%     FAX             = "",
+%%%     email           = "mailto colon arthur_ogawa at sbcglobal.net",
+%%%     codetable       = "ISO/ASCII",
+%%%     keywords        = "latex, page grid, main vertical list",
+%%%     supported       = "yes",
+%%%     abstract        = "package to change page grid, MVL",
+%%%     docstring       = "The checksum field above generated by ltxdoc",
+%%%  }
+\NeedsTeXFormat{LaTeX2e}[1995/12/01]%
+\ProvidesFile{ltxgrid.sty}%
+ [2009/10/09 4.1h page grid package]% \fileversion
+\def\package@name{ltxgrid}%
+\expandafter\PackageInfo\expandafter{\package@name}{%
+ Page grid for \protect\LaTeXe,
+ by A. Ogawa (arthur_ogawa at sbcglobal.net)%
+}%
+\RequirePackage{ltxutil}%
+\typeout{%
+ ltxgrid [2009/07/07 4.1f]: portions licensed from W. E. Baxter (web at superscript.com)%
+}%
+\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{trace:\@tempa}}\@tempa
+  \vrule depth2.5\p@#2\leaders\hrule\hfil
+ }%
+}%
+\def\lineloop#1{%
+ \loopwhile{\loop@line\c@linecount{}\@ifnum{#1>\c@linecount}}%
+}%
+\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
+ }{}%
+ \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{%
+ \saythe\inputlineno
+ \saythe\holdinginserts
+ \saythe\outputpenalty
+ \saythe\interlinepenalty
+ \saythe\brokenpenalty
+ \saythe\clubpenalty
+ \saythe\widowpenalty
+ \saythe\displaywidowpenalty
+ \saythe\predisplaypenalty
+ \saythe\interdisplaylinepenalty
+ \saythe\postdisplaypenalty
+ \say\output@procedure
+ \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\footsofar
+  \showbox\footins@saved
+  \showbox\footins
+  \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\let\expandafter\output@prep@\csname output@prep@\bot@envir \endcsname
+  \outputdebug@sw{\say\output@prep@}{}%
+  \@ifx{\output@prep@\relax}{\output@prep@document}{\output@prep@}%
+  \@makecolumn\true@sw
+  \expandafter\let\expandafter\output@column@\csname output@column@\thepagegrid\endcsname
+  \outputdebug@sw{\say\output@column@}{}%
+  \@ifx{\output@column@\relax}{\output@column@one}{\output@column@}%
+  \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\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{%
+ \set@adj@footins\vsize\global\vsize\vsize
+}%
+\def\output@prep@document{%
+ \@ifvoid\footsofar{}{%
+  \setbox\footins\vbox\bgroup
+   \unvbox\footsofar
+   \@ifvoid\footins{}{%
+    \marry@baselines
+    \unvbox\footins
+   }%
+  \egroup
+ }%
+}%
+\def\output@post@document{}%
+\let\@opcol\@undefined
+\def\@makecolumn#1{%
+ \setbox\@outputbox\vbox{%
+  \boxmaxdepth\@maxdepth
+  \@tempdima\dp\@cclv
+  \unvbox\@cclv
+  \vskip-\@tempdima
+ }%
+ \xdef\@freelist{\@freelist\@midlist}\global\let\@midlist\@empty
+ \show@text@box@size
+ \@combinefloats
+ #1{%
+  \@combineinserts\@outputbox\footins
+ }{%
+  \combine@foot@inserts
+ }%
+ \set@adj@colht\dimen@
+ \count@\vbadness
+ \vbadness\@M
+ \setbox\@outputbox\vbox to\dimen@{%
+  \@texttop
+  \dimen@\dp\@outputbox
+  \unvbox\@outputbox
+  \vskip-\dimen@
+  \@textbottom
+ }%
+ \vbadness\count@
+ \global\maxdepth\@maxdepth
+}%
+\let\@makespecialcolbox\@undefined
+\def\@combineinserts#1#2{%
+ \setbox#1\vbox{%
+  \unvbox#1%
+  \vbox{%
+   \@ifvoid#2{}{%
+    \show@box@size{Combining inserts}#2%
+    \vskip\skip#2%
+    \color@begingroup
+    \normalcolor
+    \footnoterule
+    \nointerlineskip
+    \box#2%
+    \color@endgroup
+   }{}%
+  }%
+ }%
+}%
+\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 % \c@topnumber
+ \global\@toproom    \maxdimen % \topfraction\@colht
+ \global\@botnum     \maxdimen % \c@bottomnumber
+ \global\@botroom    \maxdimen % \bottomfraction\@colht
+ \global\@colnum     \maxdimen % \c@totalnumber
+ \global\@dbltopnum  \maxdimen % \c@dbltopnumber
+ \global\@dbltoproom \maxdimen % \dbltopfraction\@colht
+ \global\@textmin    \z@       % \@colht\advance \@textmin -\@dbltoproom
+ \global\@fpmin      \z@       % \dblfloatpagefraction\textheight
+ \let\@testfp\@gobble
+ \appdef\@setfloattypecounts{\@fpstype16\advance\@fpstype\m@ne}%
+}%
+\let\@doclearpage\@undefined
+\let\@makefcolumn\@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{%
+ \@cclv@nontrivial@sw{%
+  \save@column
+ }{%
+  \void@cclv
+ }%
+ \@ifvoid\footins{}{%
+  \outputdebug@sw{\trace@box\footins}{}%
+  \global\setbox\footins@saved\vbox{\unvbox\footins@saved\marry@baselines\unvbox\footins}%
+  \protect@penalty\save@column@insert@pen
+ }%
+}%
+\newbox\footins@saved
+\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#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{%
+ \@ifvoid\footins{%
+ }{%
+  \@ifvoid\footsofar{%
+   \global\setbox\footsofar\box\footins
+  }{%
+   \global\setbox\footsofar\vbox\bgroup
+    \unvbox\footsofar
+    \marry@baselines
+    \unvbox\footins
+   \egroup
+  }%
+ }%
+}%
+\newcommand\onecolumngrid{\do@columngrid{one}{\@ne}}%
+\let\onecolumn\@undefined
+\def\open@column@one#1{%
+ \unvbox\pagesofar
+ \gdef\thepagegrid{one}%
+ \global\pagegrid@col#1%
+ \global\pagegrid@cur\@ne
+ \set@colht
+ \set@column@hsize\pagegrid@col
+}%
+\def\shut@column@one{%
+ \@makecolumn\false@sw
+ \global\setbox\pagesofar\vbox{\unvbox\@outputbox\recover@footins}%
+ \combine@foot@inserts
+ \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{%
+ \gdef\thepagegrid{mlt}%
+ \global\pagegrid@col#1%
+ \global\pagegrid@cur\@ne
+ \set@column@hsize\pagegrid@col
+ \set@colht
+}%
+\def\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{}%
+  \@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{}%
+  \@output@combined@page
+ }%
+}%
+\let\@outputdblcol\@undefined
+\def\@floatselect@sw@mlt#1{\@if@notdblfloat{#1}}%
+\def\@addmarginpar@mlt{% emits a boolean
+ \@ifnum{\pagegrid@cur=\@ne}%
+}%
+\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{%
+ \global\setbox\@outputbox\vbox{%
+  \hb@xt@\textwidth{%
+   \vrule\@height\z@\@width\z@\@if@empty{#1}{}{\@depth#1}%
+   \pagegrid@cur\@ne
+   \append@column
+   \box@column\@outputbox
+  }%
+  \vskip\z@skip % FIXME: page depth!
+ }%
+}%
+\def\append@column{%
+ \@ifnum{\pagegrid@cur<\pagegrid@col}{%
+  \expandafter\box@column\csname col@\the\pagegrid@cur\endcsname
+  \hfil
+  \vrule \@width\columnseprule
+  \hfil
+  \advance\pagegrid@cur\@ne
+  \append@column
+ }{%
+ }%
+}%
+\def\box@column#1{%
+ \raise\topskip
+ \hb@xt@\columnwidth{%
+  \dimen@\ht#1\@ifdim{\dimen@>\@colht}{\dimen@\@colht}{}%
+  \count@\vbadness\vbadness\@M
+  \dimen@ii\vfuzz\vfuzz\maxdimen
+  \outputdebug@sw{\saythe\@colht\saythe\dimen@}{}%
+  \vtop to\dimen@
+  {\hrule\@height\z@
+   \unvbox#1%
+   \raggedcolumn@skip
+  }%
+  \vfuzz\dimen@ii
+  \vbadness\count@
+  \hss
+ }%
+}%
+\def\marry@baselines{%
+ \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{%
+ \@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
+   \@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{%
+ #1\textheight
+ \def\@elt{\adj@page#1}%
+ \@booleantrue\firsttime@sw\@dbltoplist
+ \let\@elt\relax
+ \global#1#1\relax
+ \outputdebug@sw{\saythe#1}{}%
+}%
+\def\set@colroom{%
+ \set@adj@colht\@colroom
+ \@if@empty\enlarge@colroom{}{%
+  \global\advance\@colroom\enlarge@colroom\relax
+  \outputdebug@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
+ \outputdebug@sw{\saythe\vsize}{}%
+}%
+\def\set@adj@colht#1{%
+ #1\@colht
+ \outputdebug@sw{\saythe#1}{}%
+ \@ifvoid\pagesofar{}{%
+  \advance#1-\ht\pagesofar\advance#1-\dp\pagesofar
+  \outputdebug@sw{\saythe#1}{}%
+ }%
+ \set@adj@footins#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}%
+ \outputdebug@sw{\saythe#1}{}%
+}%
+\def\adj@page#1#2{%
+ \advance#1-\ht#2%
+ \advance#1-\firsttime@sw{\dbltextfloatsep\@booleanfalse\firsttime@sw}{\dblfloatsep}%
+ \outputdebug@sw{\saythe#1}{}%
+}%
+\def\set@adj@footins#1{%
+ \@booleanfalse\temp@sw
+ \set@adj@box#1\footins
+ \set@adj@box#1\footins@saved
+ \set@adj@box#1\footsofar
+ \temp@sw{\advance#1-\skip\footins}{}%
+}%
+\def\set@adj@box#1#2{%
+ \@ifvoid#2{}{%
+  \advance#1-\ht#2\advance#1-\dp#2%
+  \@booleantrue\temp@sw
+  \outputdebug@sw{\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
+  \combine@foot@inserts
+  \@ifvoid\footsofar{}{%
+   \global
+   \setbox\footsofar\vbox\bgroup
+    \setbox\z@\box\@tempboxa
+    \let\recover@footins\relax
+    \balance@two\footsofar\@tempboxa
+    \hb@xt@\textwidth{\box\footsofar\hfil\box\@tempboxa}%
+   \egroup
+  }%
+ }%
+ \aftergroup\def\aftergroup\balance@2\expandafter
+\endgroup\expandafter{\the\toks@}%
+\def\balance@two#1#2{%
+ \outputdebug@sw{\trace@scroll{\showbox#1\showbox#2}}{}%
+ \setbox\@ne\vbox{%
+  \@ifvoid#1{}{%
+   \unvcopy#1\recover@footins
+   \@ifvoid#2{}{\marry@baselines}%
+  }%
+  \@ifvoid#2{}{%
+   \unvcopy#2\recover@footins
+  }%
+ }%
+ \dimen@\ht\@ne\divide\dimen@\tw@
+ \dimen@i\dimen@
+ \vbadness\@M
+ \vfuzz\maxdimen
+ \loopwhile{%
+  \dimen@i=.5\dimen@i
+  \outputdebug@sw{\saythe\dimen@\saythe\dimen@i\saythe\dimen@ii}{}%
+  \setbox\z@\copy\@ne\setbox\tw@\vsplit\z@ to\dimen@
+  \setbox\z@ \vbox{%
+   \unvcopy\z@
+   \setbox\z@\vbox{\unvbox\z@ \remove@lastbox\aftergroup\vskip\aftergroup-\expandafter}\the\dp\z@\relax
+  }%
+  \setbox\tw@\vbox{%
+   \unvcopy\tw@
+   \setbox\z@\vbox{\unvbox\tw@\remove@lastbox\aftergroup\vskip\aftergroup-\expandafter}\the\dp\z@\relax
+  }%
+  \dimen@ii\ht\tw@\advance\dimen@ii-\ht\z@
+  \@ifdim{\dimen@i>.5\p@}{%
+   \advance\dimen@\@ifdim{\dimen@ii<\z@}{}{-}\dimen@i
+   \true@sw
+  }{%
+   \@ifdim{\dimen@ii<\z@}{%
+    \advance\dimen@\tw@\dimen@i
+    \true@sw
+   }{%
+    \false@sw
+   }%
+  }%
+ }%
+ \outputdebug@sw{\saythe\dimen@\saythe\dimen@i\saythe\dimen@ii}{}%
+ \@ifdim{\ht\z@=\z@}{%
+  \@ifdim{\ht\tw@=\z@}{%
+   \true@sw
+  }{%
+   \false@sw
+  }%
+ }{%
+  \true@sw
+ }%
+ {%
+ }{%
+  \ltxgrid@info{Unsatifactorily balanced columns: giving up}%
+  \setbox\tw@\box#1%
+  \setbox\z@ \box#2%
+ }%
+ \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}{}%
+ \outputdebug@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\recover@footins{%
+ \skip\z@ \lastskip\unskip
+ \skip\@ne\lastskip\unskip
+ \setbox\z@\lastbox
+ \@ifvbox\z@{%
+  \setbox\z@\vbox{%
+   \unvbox\z@
+   \setbox\z@\lastbox
+   \@ifvoid\z@{}{%
+    \global\setbox\footsofar\vbox{%
+     \unvbox\footsofar
+     \@ifvbox\z@{%
+      \unvbox\z@
+     }{%
+      \box\z@
+     }%
+    }%
+   }%
+  }%
+ }{}%
+ \outputdebug@sw{\trace@box\footsofar}{}%
+}%
+\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@
+ }{}%
+}%
+\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
+\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}%
+}%
+\endinput
+%%
+%% End of file `ltxgrid.sty'.
diff --git a/Master/texmf-dist/tex/latex/revtex/ltxutil.sty b/Master/texmf-dist/tex/latex/revtex/ltxutil.sty
new file mode 100644
index 00000000000..25d515026d0
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/revtex/ltxutil.sty
@@ -0,0 +1,1964 @@
+%%
+%% This is file `ltxutil.sty',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% ltxutil.dtx  (with options: `package,kernel')
+%% 
+%% This is a generated file;
+%% altering it directly is inadvisable;
+%% instead, modify the original source file.
+%% See the URL in the file 00readme.tex.
+%% 
+%% License
+%%    You may distribute this file under the conditions of the
+%%    LaTeX Project Public License 1.3 or later
+%%    (http://www.latex-project.org/lppl.txt).
+%% 
+%%    This file is distributed WITHOUT ANY WARRANTY;
+%%    without even the implied warranty of MERCHANTABILITY
+%%    or FITNESS FOR A PARTICULAR PURPOSE.
+%% 
+%%%  @LaTeX-file{
+%%%     filename        = "ltxutil.dtx",
+%%%     version         = "4.1h",
+%%%     date            = "2009/10/09",
+%%%     time            = "11:23:00 GMT+8",
+%%%     checksum        = "4094",
+%%%     author          = "Arthur Ogawa (mailto:arthur_ogawa at sbcglobal.net),
+%%%                        commissioned by the American Physical Society.
+%%%                        ",
+%%%     copyright       = "Copyright (C) 1999, 2009 Arthur Ogawa,
+%%%                        distributed under the terms of the
+%%%                        LaTeX Project Public License, see
+%%%                        ftp://ctan.tug.org/macros/latex/base/lppl.txt
+%%%                        ",
+%%%     address         = "Arthur Ogawa,
+%%%                        USA",
+%%%     telephone       = "",
+%%%     FAX             = "",
+%%%     email           = "mailto colon arthur_ogawa at sbcglobal.net",
+%%%     codetable       = "ISO/ASCII",
+%%%     keywords        = "latex, page grid, main vertical list",
+%%%     supported       = "yes",
+%%%     abstract        = "utilities package",
+%%%     docstring       = "The checksum field above generated by ltxdoc",
+%%%  }
+\NeedsTeXFormat{LaTeX2e}[1995/12/01]%
+\ProvidesFile{ltxutil.sty}%
+ [2009/10/09 4.1h utilities package]% \fileversion
+\def\package@name{ltxutil}%
+\expandafter\PackageInfo\expandafter{\package@name}{%
+ Utility macros for \protect\LaTeXe,
+ by A. Ogawa (arthur_ogawa at sbcglobal.net)%
+}%
+\typeout{%
+ ltxutil [2009/07/07 4.1f]: portions licensed from W. E. Baxter (web at superscript.com)%
+}%
+\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{%
+ \@enddocumenthook
+ \@checkend{document}%
+ \clear@document
+ \check@aux
+ \deadcycles\z@
+ \@@end
+}%
+\def\clear@document{\clearpage}%
+\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\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@footnote\endcsname\@thefnmark
+  }%
+  \color@begingroup
+   \@makefntext{%
+    \rule\z@\footnotesep\ignorespaces#1\@finalstrut\strutbox
+   }%
+  \color@endgroup
+ \minipagefootnote@drop
+}%
+\def\set@footnotefont{%
+  \reset@font\footnotesize
+  \interlinepenalty\interfootnotelinepenalty
+  \splittopskip\footnotesep
+  \splitmaxdepth\dp\strutbox
+}%
+\def\set@footnotewidth{%
+ \hsize\columnwidth
+ \linewidth\hsize
+}%
+\def\set@footnotewidth@ii{%
+ \hsize\textwidth
+ \advance\hsize\columnsep
+ \divide\hsize\tw@
+ \advance\hsize-\columnsep
+ \linewidth\hsize
+}%
+\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
+  \par
+  \expandafter\aftergroup\csname tocdim@#2\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\@href}%
+\def\@href#1{\@@startlink{#1}\@@href}%
+\def\@@href#1{\endgroup#1\@@endlink}%
+\providecommand \url  [0]{\begingroup\@sanitize \@url }%
+\def \@url #1{\endgroup\@href {#1}{\URL@prefix#1}}%
+\providecommand \URL@prefix [0]{URL }%
+\@ifxundefined \pdfoutput {\true@sw}{\@ifnum{\z@=\pdfoutput}{\true@sw}{\false@sw}}%
+{%
+ \def\@@startlink#1{\leavevmode\special{html:<a href="#1">}}%
+ \def\@@endlink{\special{html:</a>}}%
+}{%
+ \def\@@startlink#1{%
+  \leavevmode
+  \pdfstartlink\pdfstartlink@attr
+   user{/Subtype/Link/A<</Type/Action/S/URI/URI(#1)>>}%
+  \relax
+ }%
+ \def\@@endlink{\pdfendlink}%
+ \def\pdfstartlink@attr{attr{/Border[0 0 1 ]/H/I/C[0 1 1]}}%
+}%
+\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
+}{}%
+\endinput
+%%
+%% End of file `ltxutil.sty'.
diff --git a/Master/texmf-dist/tex/latex/revtex/revsymb.sty b/Master/texmf-dist/tex/latex/revtex/revsymb4-1.sty
index b60cbb46b3b..fb84d0641df 100644
--- a/Master/texmf-dist/tex/latex/revtex/revsymb.sty
+++ b/Master/texmf-dist/tex/latex/revtex/revsymb4-1.sty
@@ -1,24 +1,25 @@
 %%
-%% This is file `revsymb.sty',
+%% This is file `revsymb4-1.sty',
 %% generated with the docstrip utility.
 %%
 %% The original source files were:
 %%
-%% revtex4.dtx  (with options: `revsymb')
+%% revtex4-1.dtx  (with options: `revsymb')
 %% 
 %% 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:ogawa@teleport.com)
+%% Modified by Arthur Ogawa (mailto:arthur_ogawa at sbcglobal dot net)
 %% 
-%% Copyright (c) 1999 The American Physical Society.
+%% Copyright (c) 2009 The American Physical Society.
 %% http://publish.aps.org/revtex4/
 %% mailto:revtex4@aps.org
 %% 
 %% See the REVTeX 4 README file for restrictions and more information.
 %% 
-\ProvidesPackage{revsymb}
-          [2001/08/02 v4.0 (http://publish.aps.org/revtex4/ for documentation)]%FileInfo
+\NeedsTeXFormat{LaTeX2e}[1996/12/01]%
+\ProvidesPackage{revsymb4-1}
+ [2009/10/08:11:23 4.1g (http://publish.aps.org/revtex4/ for documentation)]%FileInfo
 \def\REVSYMB@warn#1{\PackageWarningNoLine{revsymb}{#1}}%
 \DeclareRobustCommand\lambdabar{%
   \bgroup
@@ -154,4 +155,4 @@
 }%
 \endinput
 %%
-%% End of file `revsymb.sty'.
+%% End of file `revsymb4-1.sty'.
diff --git a/Master/texmf-dist/tex/latex/revtex/revtex4.cls b/Master/texmf-dist/tex/latex/revtex/revtex4-1.cls
index 854db7169ae..a463a6c5619 100644
--- a/Master/texmf-dist/tex/latex/revtex/revtex4.cls
+++ b/Master/texmf-dist/tex/latex/revtex/revtex4-1.cls
@@ -1,36 +1,40 @@
 %%
-%% This is file `revtex4.cls',
+%% This is file `revtex4-1.cls',
 %% generated with the docstrip utility.
 %%
 %% The original source files were:
 %%
-%% revtex4.dtx  (with options: `class-pre')
-%% ltxutil.dtx  (with options: `ltxutil-krn')
-%% ltxgrid.dtx  (with options: `ltxgrid-krn')
-%% textcase.dtx  (with options: `package')
-%% revtex4.dtx  (with options: `class-pst')
+%% revtex4-1.dtx  (with options: `kernel')
+%% ltxutil.dtx  (with options: `kernel')
+%% ltxfront.dtx  (with options: `kernel')
+%% ltxgrid.dtx  (with options: `kernel')
+%% revtex4-1.dtx  (with options: `options')
+%% ltxutil.dtx  (with options: `options')
+%% ltxfront.dtx  (with options: `options')
+%% ltxgrid.dtx  (with options: `options')
+%% revtex4-1.dtx  (with options: `package')
 %% 
 %% This file is part of the APS files in the REVTeX 4 distribution.
 %% For the version number, search on the string 
 %% Original version by David Carlisle
-%% Modified by Arthur Ogawa (mailto:ogawa@teleport.com)
+%% Modified by Arthur Ogawa (mailto:arthur_ogawa at sbcglobal dot net)
 %% 
-%% Copyright (c) 1999 The American Physical Society.
+%% Copyright (c) 2009 The American Physical Society.
 %% http://publish.aps.org/revtex4/
 %% mailto:revtex4@aps.org
 %% 
 %% See the REVTeX 4 README file for restrictions and more information.
 %% 
-\NeedsTeXFormat{LaTeX2e}[1996/12/01]
-\ProvidesClass{revtex4}
-          [2001/08/02 v4.0 (http://publish.aps.org/revtex4/ for documentation)]%FileInfo
-\def\class@name{revtex4}%
+\NeedsTeXFormat{LaTeX2e}[1996/12/01]%
+\ProvidesClass{revtex4-1}
+ [2009/10/08:11:23 4.1g (http://publish.aps.org/revtex4/ for documentation)]%FileInfo
+\let\class@name\@gtempa
 \GenericInfo{}{\space
- Copyright (c) 2001 The American Physical Society.^^J
+ Copyright (c) 2009 The American Physical Society.^^J
  mailto:revtex@aps.org^^J
  Licensed under the LPPL:^^Jhttp://www.ctan.org/tex-archive/macros/latex/base/lppl.txt^^J
- Arthur Ogawa <ogawa@teleport.com>^^J
- Based on work by David Carlisle <david@dcarlisle.demon.co.uk>%
+ Arthur Ogawa <arthur_ogawa at sbcglobal dot net>^^J
+ Based on work by David Carlisle <david at dcarlisle.demon.co.uk>%
  \@gobble
 }%
 \if@compatibility
@@ -41,16 +45,8 @@
   \errmessage{You cannot run \class@name\space in compatability mode}%
   \expandafter\@@end
 \fi
-\let\DeclareOption@latex\DeclareOption
-\let\DeclareOption\@gobbletwo
-\let\ProcessOptions@latex\ProcessOptions
-\let\ProcessOptions\@empty
-\let\ProvidesPackage@latex\ProvidesPackage
-\def\ProvidesPackage#1[#2]{%
- \class@info{Incorporating package #1 [#2].}%
-}%
 \typeout{%
- ltxutil: portions licensed from W. E. Baxter (web@superscript.com)%
+ ltxutil [2009/07/07 4.1f]: portions licensed from W. E. Baxter (web at superscript.com)%
 }%
 \def\class@err#1{\ClassError{\class@name}{#1}\@eha}%
 \def\class@warn#1{\ClassWarningNoLine{\class@name}{#1}}%
@@ -82,9 +78,10 @@
 \def\class@warn@end#1{%
  \gappdef\class@enddocumenthook{\class@warn{#1}}%
 }%
-\AtEndOfClass{%
- \@ifxundefined\class@name{\def\class@name{Generic Class}}{}%
-}%
+\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@}%
@@ -188,23 +185,18 @@
 }%
 \prepdef\document{%
  \endgroup
- \init@documenthook
- \set@typesize@hook
- \normalsize
- \set@pica@hook
+ \document@inithook
  \true@sw{}%
 }%
-\def\init@documenthook{}%
-\AtBeginDocument{%
- \class@documenthook
+\let\document@inithook\@empty
+\appdef\document@inithook{%
+ \AtBeginDocument{\class@documenthook}%
 }%
 \AtEndDocument{%
  \class@enddocumenthook
 }%
-\def\class@documenthook{}%
-\def\class@enddocumenthook{}%
-\def\set@typesize@hook{}%
-\def\set@pica@hook{}%
+\let\class@documenthook\@empty
+\let\class@enddocumenthook\@empty
 \def\enddocument{%
  \@enddocumenthook
  \@checkend{document}%
@@ -246,6 +238,56 @@
   }%
  }{}%
 }%
+\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
@@ -253,6 +295,7 @@
   \@rightskip\z@skip
   \parfillskip\@flushglue
 }%
+\expandafter\DeclareRobustCommand\expandafter\@centercr\expandafter{\@centercr}%
 \def\eqnarray@LaTeX{%
    \stepcounter{equation}%
    \def\@currentlabel{\p@equation\theequation}%
@@ -261,7 +304,7 @@
    \global\@eqcnt\z@
    \tabskip\@centering
    \let\\\@eqncr
-   $$\everycr{}\halign\t@\displaywidth\bgroup
+   $$\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
@@ -273,7 +316,7 @@
 \long\def\eqnarray@fleqn@fixed{%
  \stepcounter{equation}\def\@currentlabel{\p@equation\theequation}%
  \global\@eqnswtrue\m@th\global\@eqcnt\z@
- \tabskip\mathindent
+ \tabskip\ltx@mathindent
  \let\\=\@eqncr
  \setlength\abovedisplayskip{\topsep}%
  \ifvmode\addtolength\abovedisplayskip{\partopsep}\fi
@@ -303,35 +346,87 @@
  \let\eqnarray@LaTeX\relax
  \let\eqnarray@fleqn@fixed\relax
 }{}%
-\def\mathindent{\@centering}%
+\def\ltx@mathindent{\@centering}%
 \def\set@eqnarray@skips{}%
-\def\footnote{%
- \@ifnextchar[\@xfootnote{\@yfootnote\@footnotetext}%
-}%
-\def\footnotemark{%
- \@ifnextchar[\@xfootnotemark{\@yfootnote}%
+\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\@xfootnote[#1]{%
- \@xfootnotemark[#1]%
- \@footnotetext
+\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\@xfootnotemark@ltx[#1]{%
+\def\ltx@def@footproc#1[#2]{%
  \begingroup
-   \csname c@\@mpfn\endcsname #1\relax
+   \csname c@\@mpfn\endcsname #2\relax
    \unrestored@protected@xdef\@thefnmark{\thempfn}%
- \endgroup
- \H@@footnotemark
+ \expandafter\endgroup
+ \expandafter#1%
+ \expandafter{\the\csname c@\@mpfn\endcsname}%
 }%
-\def\@yfootnote{%
- \stepcounter\@mpfn
+\def\ltx@stp@footproc#1{%
+ \expandafter\stepcounter\expandafter{\@mpfn}%
  \protected@xdef\@thefnmark{\thempfn}%
- \H@@footnotemark
+ \expandafter#1%
+ \expandafter{\the\csname c@\@mpfn\endcsname}%
 }%
 \appdef\class@documenthook{%
- \@ifxundefined\H@@footnotemark{%
-  \let\H@@footnotemark\@footnotemark
- }{}%
- \let\@xfootnotemark\@xfootnotemark@ltx
+ \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
@@ -341,11 +436,8 @@
  \minipagefootnote@pick
   \make@footnotetext
 }%
-\def\make@footnotetext#1{%
-  \reset@font\footnotesize
-  \interlinepenalty\interfootnotelinepenalty
-  \splittopskip\footnotesep
-  \splitmaxdepth\dp\strutbox
+\long\def\make@footnotetext#1{%
+  \set@footnotefont
   \set@footnotewidth
   \@parboxrestore
   \protected@edef\@currentlabel{%
@@ -358,6 +450,12 @@
   \color@endgroup
  \minipagefootnote@drop
 }%
+\def\set@footnotefont{%
+  \reset@font\footnotesize
+  \interlinepenalty\interfootnotelinepenalty
+  \splittopskip\footnotesep
+  \splitmaxdepth\dp\strutbox
+}%
 \def\set@footnotewidth{%
  \hsize\columnwidth
  \linewidth\hsize
@@ -369,22 +467,23 @@
  \advance\hsize-\columnsep
  \linewidth\hsize
 }%
-\def\addtocontents#1#2{%
- \protected@write\@auxout{%
-  \let \label \@gobble \let \index \@gobble \let \glossary \@gobble
-  \def\({\string\(}%
-  \def\){\string\)}%
-  \def\\{\string\\}%
- }{\string \@writefile {#1}{#2}}%
+\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\contentsline#1#2#3#4{%
- \csname l@#1\endcsname{#2}{#3}%
-}%
 \def\label#1{%
  \@bsphack
   \protected@write\@auxout{}{%
@@ -392,6 +491,16 @@
   }%
  \@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}%
 }%
@@ -431,25 +540,21 @@
   \egroup
   \expandafter\@iiiparbox\@mpargs{\unvbox\@tempboxa}%
 }%
+\@booleantrue\floats@sw
 \let\@xfloat@LaTeX\@xfloat
 \def\@xfloat#1[#2]{%
   \@xfloat@prep
   \@nameuse{fp@proc@#2}%
-  \@ifxundefined\floats@sw{\global\@booleantrue\floats@sw}{}%
   \floats@sw{\@xfloat@LaTeX{#1}[#2]}{\@xfloat@anchored{#1}[]}%
 }%
 \def\@xfloat@prep{%
-  \let\footnote\footnote@latex
+  \ltx@footnote@pop
   \def\@mpfn{mpfootnote}%
   \def\thempfn{\thempfootnote}%
   \c@mpfootnote\z@
-  \let\@footnotetext\@mpfootnotetext
-  \let\H@@footnotetext\@mpfootnotetext
-  \let\@makefntext\@mpmakefntext
-}%
-\appdef\class@documenthook{%
- \let\footnote@latex\footnote
+  \let\H@@footnotetext\H@@mpfootnotetext
 }%
+\let\ltx@footnote@pop\@empty
 \def\@xfloat@anchored#1[#2]{%
  \def\@captype{#1}%
  \begin@float@pagebreak
@@ -462,7 +567,7 @@
 }%
 \def\end@float@anchored{%
   \minipagefootnote@here
-  \par\vskip\z@skip      %% \par\vskip\z@ added 15 Dec 87
+  \par\vskip\z@skip
  \par
  \end@float@pagebreak
 }%
@@ -475,7 +580,6 @@
  #1%
 }%
 \def\do@if@floats#1#2{%
- \@ifxundefined\floats@sw{\global\@booleantrue\floats@sw}{}%
  \floats@sw{}{%
   \expandafter\newwrite
               \csname#1write\endcsname
@@ -501,6 +605,9 @@
 \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
@@ -535,6 +642,58 @@
   \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}}%
@@ -592,8 +751,7 @@
   {\@dblarg{\@sect@ltx {#1}{#2}{#3}{#4}{#5}{#6}}}%
 }%
 \def\@startsection@hook{}%
-\class@info
-  {Repairing broken LateX \string\@sect}%
+\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}%
@@ -678,19 +836,22 @@
 }%
 \def\@hang@froms#1#2{#1#2}%
 \def\@runin@tos #1#2{#1#2}%
-\appdef\init@documenthook{%
+\def\init@hyperref{%
  \providecommand\phantomsection{}%
- \providecommand\hyper@anchor[1]{}%
- \providecommand\hyper@last{}%
- \providecommand\Hy@raisedlink[1]{#1}%
+ \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\class@documenthook{%
+\appdef\document@inithook{%
  \@ifpackageloaded{array}{\switch@array}{\switch@tabular}%
  \prepdef\endtabular{\endtabular@hook}%
  \@provide\endtabular@hook{}%
@@ -815,6 +976,7 @@
  \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}{%
@@ -830,18 +992,18 @@
             \@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
          }%
@@ -871,7 +1033,7 @@
  }{%
   \class@info{Patching array package.}%
  }{%
-  \class@info{Unrecognized array package. Please update this document class! (Proceeding with fingers crossed.)}%
+  \switch@array@info
  }%
  \let\@array    \@array@array@new
  \let\@@array   \@array % Cosi fan tutti
@@ -891,6 +1053,12 @@
  \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{%
@@ -923,7 +1091,6 @@
   \let\@acoll\@tabacoll
   \let\@acolr\@tabacolr
   \let\@acol\@tabacol
-  \let\col@sep\@undefined
   \let\d@llarbegin\begingroup
   \let\d@llarend\endgroup
   \@tabarray
@@ -1020,7 +1187,6 @@
  \let\@acoll\@arrayacol
  \let\@acolr\@arrayacol
  \let\@acol\@arrayacol
-\let\col@sep\@undefined
  \def\d@llarbegin{$}%
  \let\d@llarend\d@llarbegin
  \gdef\@halignto{}%
@@ -1341,12 +1507,12 @@
  \relax
 }%
 \def\@mkpream@relax{%
- \let\tableftsep\relax
- \let\tabmidsep\relax
- \let\tabrightsep\relax
+ \let\tableftsep   \relax
+ \let\tabmidsep    \relax
+ \let\tabrightsep  \relax
  \let\array@row@rst\relax
- \let\cell@font\relax
- \let\@startpbox\relax
+ \let\cell@font    \relax
+ \let\@startpbox   \relax
 }%
 \def\@mkpream@array#1{%
    \gdef\@preamble{}\@lastchclass 4 \@firstamptrue
@@ -1429,6 +1595,15 @@
  \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
 }%
@@ -1597,7 +1772,7 @@
      \ifodd\@tempcntb \@testtrue\fi
    \fi}%
 \def\@xbitor@ltx#1{%
- \@tempcntb\count#1%
+ \@tempcntb\count#1\relax
  \@ifnum{\@tempcnta=\z@}{}{%
   \divide\@tempcntb\@tempcnta
   \@ifodd\@tempcntb{\@testtrue}{}%
@@ -1625,8 +1800,8 @@
 }%
 \def\toc@pre{}%
 \def\toc@post{}%
-\def\toc@@font{}%{\footnotesize\rmfamily}%
-\def\@dotsep{\z@}%{5.5pt}%
+\def\toc@@font{}%
+\def\ltxu@dotsep{\z@}%
 \let\tocdim@section       \leftmargini
 \let\tocdim@subsection    \leftmarginii
 \let\tocdim@subsubsection \leftmarginiii
@@ -1674,13 +1849,9 @@
  }%
 }%
 \def\l@@sections#1#2#3#4{%
- % #1 - superior section
- % #2 - this section
- % #3 - content, including possible \numberline
- % #4 - page number
  \begingroup
   \everypar{}%
-  \set@tocdim@pagenum{#4}%
+  \set@tocdim@pagenum\@tempboxa{#4}%
   \global\@tempdima\csname tocdim@#2\endcsname
   \leftskip\csname tocleft@#2\endcsname\relax
   \dimen@\csname tocleft@#1\endcsname\relax
@@ -1695,15 +1866,15 @@
   \expandafter\aftergroup\csname tocdim@#2\endcsname\expandafter
  \endgroup\the\@tempdima\relax
 }%
-\def\set@tocdim@pagenum#1{%
- \setbox\@tempboxa\hbox{\ignorespaces#1}%
- \@ifdim{\tocdim@pagenum<\wd\z@}{\global\tocdim@pagenum\wd\z@}{}%
+\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\@dotsep}%
+   \setbox\z@\hbox{#1.\kern\ltxu@dotsep}%
    \@ifdim{\@tempdima<\wd\z@}{\global\@tempdima\wd\z@}{}%
    \unhbox\z@
   }%
@@ -1744,22 +1915,1085 @@
  \advance\leftskip\@totalleftmargin
 }%
 \let\set@listindent\set@listindent@parshape
+\providecommand\href[0]{\begingroup\@sanitize\@href}%
+\def\@href#1{\@@startlink{#1}\@@href}%
+\def\@@href#1{\endgroup#1\@@endlink}%
+\providecommand \url  [0]{\begingroup\@sanitize \@url }%
+\def \@url #1{\endgroup\@href {#1}{\URL@prefix#1}}%
+\providecommand \URL@prefix [0]{URL }%
+\@ifxundefined \pdfoutput {\true@sw}{\@ifnum{\z@=\pdfoutput}{\true@sw}{\false@sw}}%
+{%
+ \def\@@startlink#1{\leavevmode\special{html:<a href="#1">}}%
+ \def\@@endlink{\special{html:</a>}}%
+}{%
+ \def\@@startlink#1{%
+  \leavevmode
+  \pdfstartlink\pdfstartlink@attr
+   user{/Subtype/Link/A<</Type/Action/S/URI/URI(#1)>>}%
+  \relax
+ }%
+ \def\@@endlink{\pdfendlink}%
+ \def\pdfstartlink@attr{attr{/Border[0 0 1 ]/H/I/C[0 1 1]}}%
+}%
+\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{%
- ltxgrid: portions licensed from W. E. Baxter (web@superscript.com)%
+ ltxfront [2009/10/06/20:20 4.1g]: Arthur Ogawa (after David P. Carlisle)%
 }%
-\newcounter{linecount}
-\def\lineloop#1{%
- \loop
- \ifnum\c@linecount<#1\relax
-  \global\advance\c@linecount\@ne
+\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{%
+ \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{%
+ \move@AU\move@AF
+ \@ifx{\AU@grp\@empty}{}{%
+  \@ifx{\AF@grp\@empty}{%
+   \begingroup
+    \frontmatterverbose@sw{\say\AU@grp}{}%
+    \let\href\@secondoftwo
+    \let\AU@opr\@secondofthree
+    \let\CO@opr\@secondofthree
+    \let\footnote\@gobble
+    \class@warn{Assuming \string\noaffiliation\space for \AU@grp}%
+   \endgroup
+   \@affil@def{}\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{%
+ \move@AU\move@AF
+ \begingroup
+  \cat@comma@active
+  \@affiliation
+}%
+\def\@affiliation#1{%
+ \endgroup
+ \let\@AF@join\@affil@join
+ \@affil@def{#1}%
+}%
+\newcommand\frontmatter@noaffiliation{%
+ \move@AU\move@AF
+ \@affil@def{}\move@AF
+ \move@AUAF
+}%
+\def\blankaffiliation{{}}%
+\def\@affil@cleared{{{}}{}}%
+\appdef\frontmatter@init{%
+ \@affil@init
+}%
+\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 it on the first instance%
+     }%
+    }%
+   }%
+  }%
+  {%
+   \@if@empty{\expandafter\@firstoftwo\@affil}{%
+    \def\@tempc{\z@}%
+    \@argswap@val{\z@}%
+   }{%
+    \advance\c@affil\@ne
+    \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{\the\c@affil}%
+  }%
+  \@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{%
+ \@ifx{\AF@grp\@empty}%
+ {%
+    \@ifx{\@empty\CO@grp}{}{%
+     \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}%
+    \frontmatterverbose@sw{\say\@AAC@list}{}%
+    \@ifx{\@empty\AU@grp}{%
+     \@ifx{\@empty\CO@grp}{%
+      \false@sw
+     }{%
+      \true@sw
+     }%
+    }{%
+     \true@sw
+    }%
+    {%
+     \@ifx{\@empty\AF@grp}{}{%
+      \@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   \@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\url{#2}}%
+}%
+\appdef\class@documenthook{%
+ \providecommand\url{}%
+ \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@err#1#2{%
+}%
+\def\doauthor#1#2#3{%
+  \ignorespaces#1\unskip\@listcomma
+  \begingroup
+  \def\@tempifx{#3}%
+  \@ifx{\@tempifx\@empty}{%
+   \false@sw
+  }{%
+   \@ifnum{\c@affil<\affil@cutoff}{%
+    \false@sw
+   }{%
+    \true@sw
+   }%
+  }%
+  {%
+   #3\aftergroup\true@sw
+  }{%
+   \aftergroup\false@sw
+  }%
+  \@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
+   \protected@xdef\@tempb{\the\csname c@\@mpfn\endcsname}%
+   \expandafter\frontmatter@footnotemark
+   \expandafter{\@tempb}%
+   \expandafter\g@addto@macro
+   \expandafter\@FMN@list
+   \expandafter{%
+   \expandafter \@TBN@opr
+   \expandafter {\@tempb}{#1}%
+               }%
+  }%
+ \endgroup
+}%
+\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{\thempfn}%
+    \@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@mpfootnote\endcsname\@thefnmark}%
+    \color@begingroup
+      \frontmatter@makefntext{%
+        \rule\z@\footnotesep\ignorespaces#1\@finalstrut\strutbox
+      }%
+    \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
-  \hb@xt@\hsize{%
-   \ifnum\c@linecount<100 0\fi\ifnum\c@linecount<10 0\fi\number\c@linecount
-   \vrule depth2.5\p@
-   \leaders\hrule\hfil
+ \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}%
   }%
-  \penalty\interlinepenalty
- \repeat
+   \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
+  \let\thefootnote\frontmatter@thefootnote
+  \let\@makefnmark\frontmatter@makefnmark
+  \global\c@footnote\z@
+  \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{\say\@AAC@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
+     \frontmatterverbose@sw{\say\@AFF@list}{}%
+     \@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{}%
+  \@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}{%
+   \let\@tempa\@empty
+   \expandafter\@affil@present@script\@affilID@temp\relax
+  }%
+ \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#1{%
+ \@ifx{\relax#1}{%
+  \@ifx{\@tempa\@empty}{}{%
+   \textsuperscript{\expandafter\@affilcomma\@tempa\relax\relax}%
+  }%
+ }{%
+  \@ifx{\z@#1}{}{\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{\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
+   \frontmatterverbose@sw{\say\@AAC@list}{}%
+   \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@ %space between affilations in grouped mode
+      }%
+      \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@err
+}%
+\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@err
+}%
+\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}{}%
+  \advance\@tempcnta\m@ne
+}%
+\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{\thempfn}%
+  \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}\c@footnote
+}%
+\@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.\the\c@footnote}\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 [2009/07/07 4.1f]: portions licensed from W. E. Baxter (web at superscript.com)%
+}%
+\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{trace:\@tempa}}\@tempa
+  \vrule depth2.5\p@#2\leaders\hrule\hfil
+ }%
+}%
+\def\lineloop#1{%
+ \loopwhile{\loop@line\c@linecount{}\@ifnum{#1>\c@linecount}}%
 }%
 \let\@@mark\mark
 \let\@@topmark\topmark
@@ -1818,200 +3052,273 @@
 }%
 \let\primitive@output\output
 \long\def\@tempa#1\@@nil{#1}%
-\toks@
+            \toks@
 \expandafter\expandafter
 \expandafter{%
 \expandafter \@tempa
-             \the\output
+             \the\primitive@output
              \@@nil
              }%
-\newtoks\output
-\output\expandafter{\the\toks@}%
+\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\@tempa\csname output@\the\outputpenalty\endcsname
- \outputdebug@sw{%
-  \saythe\badness
-  \saythe\outputpenalty
-  \saythe\holdinginserts
-  \say\thepagegrid
-  \saythe\pagegrid@col
-  \saythe\pagegrid@cur
- %\say\bot@envir
-  \saythe\insertpenalties
- %\say\@@topmark
- %\say\saved@@topmark
- %\say\@@firstmark
- %\say\saved@@firstmark
-  \say\@@botmark
- %\say\saved@@botmark
-  \saythe\pagegoal
-  \saythe\pagetotal
-  \saythe{\badness\@cclv}%
-  \expandafter\@ifx\expandafter{\csname output@-\the\execute@message@pen\endcsname\@tempa}{%
-   \say\@message@saved
-  }{%
-   \expandafter\say\csname output@\the\outputpenalty\endcsname
-  }%
-  \say\@toplist
-  \say\@botlist
-  \say\@dbltoplist
-  \say\@deferlist
-  {\tracingall\scrollmode
-   \showbox\@cclv
-   \showbox\@cclv@saved
-   \showbox\pagesofar
-   \showbox\footbox
-   \showbox\footins@saved
-   \showbox\footins
-   \showlists
-  }%
+ \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
  }{}%
- \@ifnotrelax\@tempa{\@tempa}{\the\output}%
+ \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{%
+ \saythe\inputlineno
+ \saythe\holdinginserts
+ \saythe\outputpenalty
+ \saythe\interlinepenalty
+ \saythe\brokenpenalty
+ \saythe\clubpenalty
+ \saythe\widowpenalty
+ \saythe\displaywidowpenalty
+ \saythe\predisplaypenalty
+ \saythe\interdisplaylinepenalty
+ \saythe\postdisplaypenalty
+ \say\output@procedure
+ \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\footsofar
+  \showbox\footins@saved
+  \showbox\footins
+  \showlists
+ }%
 }%
 \@ifxundefined{\outputdebug@sw}{%
  \@booleanfalse\outputdebug@sw
 }{}%
-\output={\toggle@insert\output@holding\output@moving}%
+\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}{%
+ \csname output@init@\bot@envir\endcsname
+ \@if@exceed@pagegoal{\unvcopy\@cclv}{%
   \setbox\z@\vbox{\unvcopy\@cclv}%
-\outputdebug@sw{{\tracingall\scrollmode\showbox\z@}}{}%
-\dimen@\ht\@cclv\advance\dimen@-\ht\z@
-\dead@cycle@repair\dimen@
-}{%
-\dead@cycle
-}%
+  \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@
+  \dimen@\ht\z@\advance\dimen@\dp\z@
   \outputdebug@sw{\saythe\dimen@}{}%
   \@ifdim{\dimen@>\pagegoal}{%
-  \setbox\z@\vbox{\@@mark{}\unvbox\z@}%
+   \setbox\z@\vbox{\@@mark{}\unvbox\z@}%
    \splittopskip\topskip
    \splitmaxdepth\maxdepth
    \vbadness\@M
    \vfuzz\maxdimen
    \setbox\tw@\vsplit\z@ to\pagegoal
-  \outputdebug@sw{{\tracingall\scrollmode\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}%
+   \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
+  \aftergroup\false@sw
  }%
-\endgroup
+ \endgroup
 }%
-%% \item
-%%  Put down the same interrupts as for the non-trivial case above.
 \def\output@moving{%
  \set@top@firstmark
  \@ifnum{\outputpenalty=\do@newpage@pen}{%
   \setbox\@cclv\vbox{%
    \unvbox\@cclv
-   \setbox\z@\lastbox
+   \remove@lastbox
    \@ifdim{\ht\z@=\ht\@protection@box}{\box\lastbox}{\unskip}%
   }%
  }{}%
  \@cclv@nontrivial@sw{%
-  \csname output@prep@\bot@envir \endcsname
-  \@makecol\csname output@column@\thepagegrid\endcsname
+  \expandafter\let\expandafter\output@prep@\csname output@prep@\bot@envir \endcsname
+  \outputdebug@sw{\say\output@prep@}{}%
+  \@ifx{\output@prep@\relax}{\output@prep@document}{\output@prep@}%
+  \@makecolumn\true@sw
+  \expandafter\let\expandafter\output@column@\csname output@column@\thepagegrid\endcsname
+  \outputdebug@sw{\say\output@column@}{}%
+  \@ifx{\output@column@\relax}{\output@column@one}{\output@column@}%
   \protect@penalty\do@startcolumn@pen
   \clearpage@sw{%
    \protect@penalty\do@endpage@pen
   }{}%
-  \csname output@post@\bot@envir \endcsname
+  \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@}%
  }{%
-  {\setbox\z@\box\@cclv}%
+  \void@cclv
  }%
- \set@colroom
+ \set@colht
  \global\@mparbottom\z@
- \global\@textfloatsheight\z@ %FIXME: this legacy LaTeX variable is set, but never queried!
+ \global\@textfloatsheight\z@
 }%
+\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
+ \@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
+  }%
  }{%
-\setbox\z@\vbox{\unvcopy\@cclv}%
-\@ifdim{\ht\z@=\topskip}{%
-\setbox\z@\vbox{%
-\unvbox\z@
-\setbox\z@\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
-}%
-}%
-{%
-\false@sw % Normal for \clearpage
-}{%
-\true@sw
-}%
-}{%
-\@ifdim{\ht\z@=\z@}{%
-\ltxgrid@info{Found trivial column. Discarding it}%
-\outputdebug@sw{{\tracingall\scrollmode\showbox\@cclv}}{}%
-\false@sw
-}{%
-\true@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}{}%
+ \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
+ \expandafter\do@@mark
+ \expandafter{%
+              \@@botmark
+             }%
+ \begingroup
   \unvbox\@cclv
-  \setbox\z@\lastbox % Remove protection box
- \nointerlineskip
+  \remove@lastbox
+  \nointerlineskip
   \advance#1-\ht\@protection@box
- \vbox to#1{\vss}%
+  \vbox to#1{\vss}%
   \protection@box % Reinsert protection box
- \@ifnum{\outputpenalty<\@M}{\penalty\outputpenalty}{}%
-\endgroup
+  \@ifnum{\outputpenalty<\@M}{\penalty\outputpenalty}{}%
+ \endgroup
 }%
 \def\dead@cycle{%
  \expandafter\do@@mark
@@ -2022,19 +3329,22 @@
  \@ifnum{\outputpenalty<\@M}{\penalty\outputpenalty}{}%
 }%
 \def\output@init@document{%
- \@ifvoid\footbox{}{%
-  \global\advance\vsize-\ht\footbox
-  \global\advance\vsize-\dp\footbox
- }%
+ \set@adj@footins\vsize\global\vsize\vsize
 }%
 \def\output@prep@document{%
- \@ifvoid\footbox{}{%
-  \setbox\footins\vbox{\unvbox\footbox\unvbox\footins}%
+ \@ifvoid\footsofar{}{%
+  \setbox\footins\vbox\bgroup
+   \unvbox\footsofar
+   \@ifvoid\footins{}{%
+    \marry@baselines
+    \unvbox\footins
+   }%
+  \egroup
  }%
 }%
 \def\output@post@document{}%
 \let\@opcol\@undefined
-\def\@makecol{%
+\def\@makecolumn#1{%
  \setbox\@outputbox\vbox{%
   \boxmaxdepth\@maxdepth
   \@tempdima\dp\@cclv
@@ -2042,19 +3352,24 @@
   \vskip-\@tempdima
  }%
  \xdef\@freelist{\@freelist\@midlist}\global\let\@midlist\@empty
+ \show@text@box@size
  \@combinefloats
- \@combineinserts\@outputbox\footins
-  \set@adj@colht\dimen@
-  \count@\vbadness
-  \vbadness\@M
-  \setbox\@outputbox\vbox to\dimen@{%
-   \@texttop
-   \dimen@\dp\@outputbox
-   \unvbox\@outputbox
-   \vskip-\dimen@
-   \@textbottom
-  }%
-  \vbadness\count@
+ #1{%
+  \@combineinserts\@outputbox\footins
+ }{%
+  \combine@foot@inserts
+ }%
+ \set@adj@colht\dimen@
+ \count@\vbadness
+ \vbadness\@M
+ \setbox\@outputbox\vbox to\dimen@{%
+  \@texttop
+  \dimen@\dp\@outputbox
+  \unvbox\@outputbox
+  \vskip-\dimen@
+  \@textbottom
+ }%
+ \vbadness\count@
  \global\maxdepth\@maxdepth
 }%
 \let\@makespecialcolbox\@undefined
@@ -2063,7 +3378,8 @@
   \unvbox#1%
   \vbox{%
    \@ifvoid#2{}{%
-    \vskip\skip\footins
+    \show@box@size{Combining inserts}#2%
+    \vskip\skip#2%
     \color@begingroup
     \normalcolor
     \footnoterule
@@ -2082,9 +3398,9 @@
 \mathchardef\do@startcolumn@pen=10005
 \@namedef{output@-\the\do@startcolumn@pen}{\do@startcolumn}%
 \def\do@startcolumn{%
- \setbox\@cclv\vbox{\unvbox\@cclv\setbox\z@\lastbox\unskip}%
+ \setbox\@cclv\vbox{\unvbox\@cclv\remove@lastbox\unskip}%
  \clearpage@sw{\@clearfloatplacement}{\@floatplacement}%
- \set@colroom
+ \set@colht
  \@booleanfalse\pfloat@avail@sw
  \begingroup
   \@colht\@colroom
@@ -2094,7 +3410,7 @@
  \endgroup
  \fcolmade@sw{%
   \setbox\@cclv\vbox{\unvbox\@outputbox\unvbox\@cclv}%
-  \outputpenalty-\pagebreak@pen % ask for a return visit, this time with insertions and all.
+  \outputpenalty-\pagebreak@pen
   \dead@cycle
  }{%
   \begingroup
@@ -2148,7 +3464,7 @@
 \mathchardef\do@startpage@pen=10006
 \@namedef{output@-\the\do@startpage@pen}{\do@startpage}%
 \def\do@startpage{%
- \setbox\@cclv\vbox{\unvbox\@cclv\setbox\z@\lastbox\unskip}%
+ \setbox\@cclv\vbox{\unvbox\@cclv\remove@lastbox\unskip}%
  \clearpage@sw{\@clearfloatplacement}{\@dblfloatplacement}%
  \set@colht
  \@booleanfalse\pfloat@avail@sw
@@ -2159,11 +3475,7 @@
  \endgroup
  \fcolmade@sw{%
   \global\setbox\pagesofar\vbox{\unvbox\pagesofar\unvbox\@outputbox}%
-  \@combinepage
-  \@combinedblfloats
-  \@outputpage
-  \global\pagegrid@cur\@ne
-  \protect@penalty\do@startpage@pen
+  \@output@combined@page
  }{%
   \begingroup
    \@booleanfalse\float@avail@sw
@@ -2185,6 +3497,13 @@
  \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}{}%
@@ -2360,9 +3679,7 @@
 }%
 \@booleanfalse\clearpage@sw
 \mathchardef\do@endpage@pen=10007
-\@namedef{output@-\the\do@endpage@pen}{%
- \csname end@column@\thepagegrid\endcsname
-}%
+\@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{%
@@ -2391,38 +3708,33 @@
  \@if@empty\saved@@firstmark{\expandafter\gdef\expandafter\saved@@firstmark\expandafter{\@@firstmark}}{}%
  \@if@empty\@@botmark{}{\expandafter\gdef\expandafter\saved@@botmark\expandafter{\@@botmark}}%
 }%
-\appdef\@outputpage{%
+\appdef\@outputpage@tail{%
  \clr@top@firstmark
 }%
 \def\@float#1{%
- \@ifnextchar[{%}]{%Brace-matching klootch
+ \@ifnextchar[{%
   \@yfloat\width@float{#1}%
  }{%
-  \@ifxundefined@cs{fps@#1}{%
-   \edef\reserved@a{\noexpand\@yfloat\noexpand\width@float{#1}[\csname fps@\endcsname]}\reserved@a
-  }{%
-   \edef\reserved@a{\noexpand\@yfloat\noexpand\width@float{#1}[\csname fps@#1\endcsname]}\reserved@a
-  }%
+  \@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[{%}]{%Brace-matching klootch
+  \@ifnextchar[{%
    \@yfloat\widthd@float{#1}%
   }{%
-   \@ifxundefined@cs{fpsd@#1}{%
-    \edef\reserved@a{\noexpand\@yfloat\noexpand\widthd@float{#1}[\csname fpsd@\endcsname]}\reserved@a
-   }{%
-    \edef\reserved@a{\noexpand\@yfloat\noexpand\widthd@float{#1}[\csname fpsd@#1\endcsname]}\reserved@a
-   }%
+   \@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}%
@@ -2439,8 +3751,8 @@
   \end@float
  }{%
   \end@@float{%
-   \@boxfpsbit\@currbox{1}\@ifodd\@tempcnta{\global\advance\count\@currbox\m@ne}{}%
-   \@boxfpsbit\@currbox{4}\@ifodd\@tempcnta{\global\advance\count\@currbox-4\relax}{}%
+   \@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
   }%
@@ -2461,19 +3773,95 @@
   }%
  }{}%
 }%
+\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@}{%
+  \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}%
  }{%
-  % Is a \marginpar
  }%
 }%
 \providecommand\minipagefootnote@init{}%
 \providecommand\minipagefootnote@here{}%
+\providecommand\tally@float[1]{}%
 \let\@specialoutput\@undefined
 \def\@add@float{%
  \@pageht\ht\@cclv\@pagedp\dp\@cclv
@@ -2482,11 +3870,11 @@
   \csname @floatselect@sw@\thepagegrid\endcsname\@currbox{%
    \@ifnum{\count\@currbox>\z@}{%
     \advance \@pageht \@pagedp
-    \advance \@pageht \vsize \advance \@pageht -\pagegoal % do not assume \holdinginserts is cleared!
-    \@addtocurcol % Commit an h float
-  }{%
-   \@addmarginpar
-  }%
+    \advance \@pageht \vsize \advance \@pageht -\pagegoal
+    \@addtocurcol
+   }{%
+    \@addmarginpar
+   }%
   }{%
    \@resethfps
    \@cons\@deferlist\@currbox
@@ -2623,12 +4011,12 @@
  \ltxgrid@warn{You must load the graphics or graphicx package in order to use the turnpage environment}%
  #2%
 }%
-\AtBeginDocument{%
+\appdef\document@inithook{%
  \@ifxundefined\rotatebox{\let\rotatebox\rotatebox@dummy}{}%
 }%
-\@namedef{output@-1073741824}{%"40000000
+\@namedef{output@-1073741824}{%
  \deadcycles\z@
- \setbox\z@\box\@cclv
+ \void@cclv
 }%
 \mathchardef\save@column@pen=10016
 \@namedef{output@-\the\save@column@pen}{\save@column}%
@@ -2636,54 +4024,54 @@
 \let \@holdpg \@undefined
 \def\save@column{%
  \@ifvoid\@cclv@saved{%
-\set@top@firstmark
-\global\@topmark@saved\expandafter{\@@topmark}%
+  \set@top@firstmark
+  \global\@topmark@saved\expandafter{\@@topmark}%
  }{}%
-\global\setbox\@cclv@saved\vbox{%
+ \global\setbox\@cclv@saved\vbox{%
   \@ifvoid\@cclv@saved{}{%
- \unvbox\@cclv@saved
- \marry@baselines
-}%
-\unvbox\@cclv
-\lose@breaks
-\setbox\z@\lastbox
-}%
+   \unvbox\@cclv@saved
+   \marry@baselines
+  }%
+  \unvbox\@cclv
+  \lose@breaks
+  \remove@lastbox
+ }%
 }%
 \newtoks\@topmark@saved
 \def\prep@cclv{%
- \setbox\z@\box\@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}%
+\@namedef{output@-\the\save@column@insert@pen}{\toggle@insert{\savecolumn@holding}{\savecolumn@moving}}%
 \def\savecolumn@holding{%
-\@if@exceed@pagegoal{\unvcopy\@cclv\setbox\z@\lastbox}{%
-  \setbox\z@\vbox{\unvcopy\@cclv\setbox\z@\lastbox}%
-  \outputdebug@sw{{\tracingall\scrollmode\showbox\z@}}{}%
-\dimen@\ht\@cclv\advance\dimen@-\ht\z@
-\dead@cycle@repair@protected\dimen@
-}{%
-\dead@cycle
-}%
+ \@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{%
  \@cclv@nontrivial@sw{%
   \save@column
  }{%
-  {\setbox\z@\box\@cclv}%
+  \void@cclv
+ }%
+ \@ifvoid\footins{}{%
+  \outputdebug@sw{\trace@box\footins}{}%
+  \global\setbox\footins@saved\vbox{\unvbox\footins@saved\marry@baselines\unvbox\footins}%
+  \protect@penalty\save@column@insert@pen
  }%
-\@ifvoid\footins{}{%
-\outputdebug@sw{{\tracingall\scrollmode\showbox\footins}}{}%
-\global\setbox\footins@saved\vbox{\unvbox\footins@saved\marry@baselines\unvbox\footins}%
-\protect@penalty\save@column@insert@pen
-}%
 }%
 \newbox\footins@saved
 \mathchardef\save@message@pen=10018
 \@namedef{output@-\the\save@message@pen}{\save@message}%
 \def\save@message{%
- \setbox\z@\box\@cclv %FIXME: what if \box\@cclv is not empty?
+ \void@cclv
  \toks@\expandafter{\@@firstmark}%
  \expandafter\gdef\expandafter\@message@saved\expandafter{\the\toks@}%
  \expandafter\do@@mark\expandafter{\the\@topmark@saved}%
@@ -2692,10 +4080,10 @@
 \mathchardef\execute@message@pen=10019
 \@namedef{output@-\the\execute@message@pen}{\@message@saved}%
 \def\execute@message{%
- \@execute@message\save@column@pen %Implicit #2
+ \@execute@message\save@column@pen
 }%
 \def\execute@message@insert#1{%
- \@execute@message\save@column@insert@pen{\setbox\footins\box\footins@saved#1}%
+ \@execute@message\save@column@insert@pen{\setbox \footins \box \footins@saved#1}%
 }%
 \long\def\@execute@message#1#2{%
  \begingroup
@@ -2727,7 +4115,7 @@
 \def\lose@breaks{%
  \loopwhile{%
   \count@\lastpenalty
-  \@ifnum{\count@=\@M}{% 10000 is a TeX magic number!
+  \@ifnum{\count@=\@M}{%
    \unpenalty\true@sw
   }{%
    \false@sw
@@ -2739,7 +4127,7 @@
  \vadjust{%
   \execute@message{%
    \unvbox\@cclv
-   \setbox\z@\lastbox
+   \remove@lastbox
    \unskip
    \unskip
    \unpenalty
@@ -2786,9 +4174,8 @@
 \def\move@insertions{\global\holdinginserts\z@}%
 \def\hold@insertions{\global\holdinginserts\@ne}%
 \hold@insertions
-\def\move@insert@sw{\@ifnum{\holdinginserts=\z@}}%
 \def\toggle@insert#1#2{%
- \@ifnum{\holdinginserts=\z@}{\hold@insertions#2}{\move@insertions#1}%
+ \@ifnum{\holdinginserts>\z@}{\move@insertions#1}{\hold@insertions#2}%
 }%
 \def\do@columngrid#1#2{%
  \par
@@ -2813,7 +4200,21 @@
 }%
 \def\thepagegrid{one}%
 \newbox\pagesofar
-\newbox\footbox
+\newbox\footsofar
+\def\combine@foot@inserts{%
+ \@ifvoid\footins{%
+ }{%
+  \@ifvoid\footsofar{%
+   \global\setbox\footsofar\box\footins
+  }{%
+   \global\setbox\footsofar\vbox\bgroup
+    \unvbox\footsofar
+    \marry@baselines
+    \unvbox\footins
+   \egroup
+  }%
+ }%
+}%
 \newcommand\onecolumngrid{\do@columngrid{one}{\@ne}}%
 \let\onecolumn\@undefined
 \def\open@column@one#1{%
@@ -2825,16 +4226,17 @@
  \set@column@hsize\pagegrid@col
 }%
 \def\shut@column@one{%
- \@makecol
+ \@makecolumn\false@sw
  \global\setbox\pagesofar\vbox{\unvbox\@outputbox\recover@footins}%
+ \combine@foot@inserts
  \set@colht
 }%
 \def\float@column@one{%
- \@makecol
+ \@makecolumn\true@sw
  \@outputpage
 }%
 \def\end@column@one{%
- \unvbox\@cclv\setbox\z@\lastbox
+ \unvbox\@cclv\remove@lastbox
  \protect@penalty\do@newpage@pen
 }%
 \def\output@column@one{%
@@ -2877,29 +4279,26 @@
 }%
 \def\shut@column@mlt{%
  \@cclv@nontrivial@sw{%
-\@makecol
-\@ifnum{\pagegrid@cur<\pagegrid@col}{%
-\expandafter\global\expandafter\setbox\csname col@\the\pagegrid@cur\endcsname\box\@outputbox
-\global\advance\pagegrid@cur\@ne
-}{}%
+  \@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
+  }{}%
  }{%
-  {\setbox\z@\box\@cclv}%
- }%
-\@ifnum{\pagegrid@cur>\@ne}{%
-\csname balance@\the\pagegrid@col\endcsname
-\grid@column{}%
-\@combinepage
-\@combinedblfloats
-\global\setbox\pagesofar\box\@outputbox
+  \void@cclv
+ }%
+ \@ifnum{\pagegrid@cur>\@ne}{%
+  \csname balance@\the\pagegrid@col\endcsname
+  \grid@column{}%
+  \@combinepage\false@sw
+  \@combinedblfloats
+  \global\setbox\pagesofar\box\@outputbox
+  \show@pagesofar@size
  }{}%
  \set@colht
 }%
 \def\float@column@mlt{%
-  \@combinepage
-  \@combinedblfloats
-  \@outputpage
-  \global\pagegrid@cur\@ne
-  \protect@penalty\do@startpage@pen
+  \@output@combined@page
 }%
 \def\end@column@mlt{%
  \@ifx@empty\@toplist{%
@@ -2926,14 +4325,14 @@
  % true = kick out a column and try again
  {%
   \@cclv@nontrivial@sw{%
-   \unvbox\@cclv\setbox\z@\lastbox
+   \unvbox\@cclv\remove@lastbox
   }{%
-   \unvbox\@cclv\setbox\z@\lastbox\unskip\null
+   \unvbox\@cclv\remove@lastbox\unskip\null
   }%
   \protect@penalty\do@newpage@pen
   \protect@penalty\do@endpage@pen
  }{%
-  \unvbox\@cclv\setbox\z@\lastbox
+  \unvbox\@cclv\remove@lastbox
  }%
 }%
 \def\output@column@mlt{%
@@ -2942,12 +4341,8 @@
   \global\advance\pagegrid@cur\@ne
  }{%
   \set@adj@colht\dimen@
-  \grid@column{}%{\dimen@}%
-  \@combinepage
-  \@combinedblfloats
-  \@outputpage
-  \global\pagegrid@cur\@ne
-  \protect@penalty\do@startpage@pen
+  \grid@column{}%
+  \@output@combined@page
  }%
 }%
 \let\@outputdblcol\@undefined
@@ -3017,20 +4412,20 @@
 }%
 \gdef\marry@skip{\z@skip}%
 \def\set@marry@skip{%
-\begingroup
+ \begingroup
   \skip@\baselineskip\advance\skip@-\topskip
   \@ifdim{\skip@>\z@}{%
    \xdef\marry@skip{\the\skip@}%
   }{}%
  \endgroup
 }%
-\AtBeginDocument{%
+\appdef\document@inithook{%
  \@ifxundefined\raggedcolumn@sw{\@booleanfalse\raggedcolumn@sw}{}%
 }%
 \def\raggedcolumn@skip{%
  \vskip\z@\raggedcolumn@sw{\@plus.0001fil\@minus.0001fil}{}\relax
 }%
-\def\@combinepage{%
+\def\@combinepage#1{%
  \@ifvoid\pagesofar{}{%
   \setbox\@outputbox\vbox{%
    \unvbox\pagesofar
@@ -3038,13 +4433,41 @@
    \unvbox\@outputbox
   }%
  }%
- \@ifvoid\footbox{}{%
-  \setbox\@outputbox\vbox{%
-   \unvbox\@outputbox
-   \marry@baselines
-   \unvbox\footbox
+ #1{%
+  \@ifvoid\footsofar{}{%
+   \show@box@size{Combining page footnotes}\footsofar
+   \setbox\footins\box\footsofar
+   \@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{}{%
@@ -3089,8 +4512,8 @@
  \set@adj@colht\@colroom
  \@if@empty\enlarge@colroom{}{%
   \global\advance\@colroom\enlarge@colroom\relax
+  \outputdebug@sw{\saythe\@colroom}{}%
  }%
- \outputdebug@sw{\saythe\@colroom}{}%
  \@ifdim{\@colroom>\topskip}{}{%
   \ltxgrid@info{Not enough room: \string\@colroom=\the\@colroom; increasing to \the\topskip}%
   \@colroom\topskip
@@ -3104,46 +4527,67 @@
 }%
 \def\set@adj@colht#1{%
  #1\@colht
+ \outputdebug@sw{\saythe#1}{}%
  \@ifvoid\pagesofar{}{%
   \advance#1-\ht\pagesofar\advance#1-\dp\pagesofar
+  \outputdebug@sw{\saythe#1}{}%
  }%
- \@ifvoid\footbox{}{%
-  \advance#1-\ht\footbox\advance#1-\dp\footbox
- }%
+ \set@adj@footins#1%
  \def\@elt{\adj@column#1}%
  \@booleantrue\firsttime@sw\@toplist
  \@booleantrue\firsttime@sw\@botlist
  \let\@elt\relax
- \outputdebug@sw{\saythe#1}{}%
 }%
 \def\adj@column#1#2{%
  \advance#1-\ht#2%
  \advance#1-\firsttime@sw{\textfloatsep\@booleanfalse\firsttime@sw}{\floatsep}%
+ \outputdebug@sw{\saythe#1}{}%
 }%
 \def\adj@page#1#2{%
  \advance#1-\ht#2%
  \advance#1-\firsttime@sw{\dbltextfloatsep\@booleanfalse\firsttime@sw}{\dblfloatsep}%
+ \outputdebug@sw{\saythe#1}{}%
+}%
+\def\set@adj@footins#1{%
+ \@booleanfalse\temp@sw
+ \set@adj@box#1\footins
+ \set@adj@box#1\footins@saved
+ \set@adj@box#1\footsofar
+ \temp@sw{\advance#1-\skip\footins}{}%
+}%
+\def\set@adj@box#1#2{%
+ \@ifvoid#2{}{%
+  \advance#1-\ht#2\advance#1-\dp#2%
+  \@booleantrue\temp@sw
+  \outputdebug@sw{\saythe#1}{}%
+ }%
 }%
-\appdef\@outputpage{%
+\appdef\@outputpage@tail{%
  \set@colht          % FIXME: needed?
  \@floatplacement    % FIXME: needed?
  \@dblfloatplacement % FIXME: needed?
 }%
-\@namedef{balance@2}{%
- \expandafter\balance@two\csname col@1\endcsname\@outputbox
- % Avoid a bug by preventing a restore when leaving this group
- \global\setbox\csname col@1\endcsname\box\csname col@1\endcsname
- \@ifvoid\footbox{}{%
-  \global\setbox\footbox\vbox{%
-   \setbox\z@\box\@tempboxa
-   \let\recover@footins\relax
-   \balance@two\footbox\@tempboxa
-   \hb@xt@\textwidth{\box\footbox\hfil\box\@tempboxa}%
+\begingroup
+ \catcode`\1=\cat@letter
+ \catcode`\2=\cat@letter
+ \toks@{%
+  \setbox\footins\box\footsofar
+  \balance@two\col@1\@outputbox
+  \combine@foot@inserts
+  \@ifvoid\footsofar{}{%
+   \global
+   \setbox\footsofar\vbox\bgroup
+    \setbox\z@\box\@tempboxa
+    \let\recover@footins\relax
+    \balance@two\footsofar\@tempboxa
+    \hb@xt@\textwidth{\box\footsofar\hfil\box\@tempboxa}%
+   \egroup
   }%
  }%
-}%
+ \aftergroup\def\aftergroup\balance@2\expandafter
+\endgroup\expandafter{\the\toks@}%
 \def\balance@two#1#2{%
-\outputdebug@sw{{\tracingall\scrollmode\showbox#1\showbox#2}}{}%
+ \outputdebug@sw{\trace@scroll{\showbox#1\showbox#2}}{}%
  \setbox\@ne\vbox{%
   \@ifvoid#1{}{%
    \unvcopy#1\recover@footins
@@ -3163,11 +4607,11 @@
   \setbox\z@\copy\@ne\setbox\tw@\vsplit\z@ to\dimen@
   \setbox\z@ \vbox{%
    \unvcopy\z@
-   \setbox\z@\vbox{\unvbox\z@ \setbox\z@\lastbox\aftergroup\vskip\aftergroup-\expandafter}\the\dp\z@\relax
+   \setbox\z@\vbox{\unvbox\z@ \remove@lastbox\aftergroup\vskip\aftergroup-\expandafter}\the\dp\z@\relax
   }%
   \setbox\tw@\vbox{%
    \unvcopy\tw@
-   \setbox\z@\vbox{\unvbox\tw@\setbox\z@\lastbox\aftergroup\vskip\aftergroup-\expandafter}\the\dp\z@\relax
+   \setbox\z@\vbox{\unvbox\tw@\remove@lastbox\aftergroup\vskip\aftergroup-\expandafter}\the\dp\z@\relax
   }%
   \dimen@ii\ht\tw@\advance\dimen@ii-\ht\z@
   \@ifdim{\dimen@i>.5\p@}{%
@@ -3183,52 +4627,52 @@
   }%
  }%
  \outputdebug@sw{\saythe\dimen@\saythe\dimen@i\saythe\dimen@ii}{}%
-\@ifdim{\ht\z@=\z@}{%
-\@ifdim{\ht\tw@=\z@}{%
-\true@sw
-}{%
-\false@sw
-}%
-}{%
-\true@sw
-}%
-{%
-}{%
-\ltxgrid@info{Unsatifactorily balanced columns: giving up}%
-\setbox\tw@\box#1%
-\setbox\z@ \box#2%
-}%
+ \@ifdim{\ht\z@=\z@}{%
+  \@ifdim{\ht\tw@=\z@}{%
+   \true@sw
+  }{%
+   \false@sw
+  }%
+ }{%
+  \true@sw
+ }%
+ {%
+ }{%
+  \ltxgrid@info{Unsatifactorily balanced columns: giving up}%
+  \setbox\tw@\box#1%
+  \setbox\z@ \box#2%
+ }%
  \setbox\tw@\vbox{\unvbox\tw@\vskip\z@skip}%
  \setbox\z@ \vbox{\unvbox\z@ \vskip\z@skip}%
- \set@colroom
-\dimen@\ht\z@\@ifdim{\dimen@<\ht\tw@}{\dimen@\ht\tw@}{}%
-\@ifdim{\dimen@>\@colroom}{\dimen@\@colroom}{}%
+ \set@colht
+ \dimen@\ht\z@\@ifdim{\dimen@<\ht\tw@}{\dimen@\ht\tw@}{}%
+ \@ifdim{\dimen@>\@colroom}{\dimen@\@colroom}{}%
  \outputdebug@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{{\tracingall\scrollmode\showbox#1\showbox#2}}{}%
+ \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\recover@footins{%
  \skip\z@ \lastskip\unskip
  \skip\@ne\lastskip\unskip
  \setbox\z@\lastbox
  \@ifvbox\z@{%
-\setbox\z@\vbox{%
-\unvbox\z@
-\setbox\z@\lastbox
-\@ifvoid\z@{}{%
-\global\setbox\footbox\vbox{%
- \unvbox\footbox
-     \@ifvbox\z@{%
+  \setbox\z@\vbox{%
    \unvbox\z@
-  }{%
-   \box\z@
+   \setbox\z@\lastbox
+   \@ifvoid\z@{}{%
+    \global\setbox\footsofar\vbox{%
+     \unvbox\footsofar
+     \@ifvbox\z@{%
+      \unvbox\z@
+     }{%
+      \box\z@
+     }%
+    }%
+   }%
   }%
-}%
-}%
-}%
  }{}%
- \outputdebug@sw{{\tracingall\scrollmode\showbox\footbox}}{}%
+ \outputdebug@sw{\trace@box\footsofar}{}%
 }%
 \prepdef\@begindocumenthook{%
  \open@column@one\@ne
@@ -3294,7 +4738,7 @@
     }%
    }%
   }{}%
-  \@ifx\LT@save@row\LT@@save@row{}{%
+  \@ifx{\LT@save@row\LT@@save@row}{}{%
    \LT@warn{%
     Column \@width s have changed\MessageBreak in table \thetable
    }\LT@final@warn
@@ -3307,34 +4751,34 @@
  \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
- \output{\LT@output}%
+  \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
@@ -3406,15 +4850,14 @@
        \global\advance\c@LT@chunks\@ne
        \global\LT@rows\z@\setbox\z@\vbox\bgroup
        \LT@setprevdepth
-       \tabskip\LTleft\halign to\hsize\bgroup
+       \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
-}%
+  \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}%
@@ -3443,12 +4886,13 @@
   \def\@startpbox{\vtop\LT@startpbox}%
   \let\@@startpbox\@startpbox
   \let\@@endpbox\@endpbox
-  \let\LT@LL@FM@cr\@tabularcr
+  \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
+  \let\LT@LL@FM@cr\@arraycr@array
  }%
  \let\@acoll\@tabacoll
  \let\@acolr\@tabacolr
@@ -3491,11 +4935,6 @@
  \LT@bchunk
 }%
 \appdef\table@hook{}%
-%% Note that it is not enough to define the environment itself; we also have to create the corresponding
-%% \cmd\output\ routine procedures, which provide for continued footers and headers
-%% (the very feature of \env{longtable} requiring support in the output routine).
-%% This same consideration would arise in defining any syntactic extension to \env{longtable}, because
-%% the environment name itself is exposed in the output routine.
 \def\switch@longtable{%
  \@ifpackageloaded{longtable}{%
   \@ifx{\longtable\longtable@longtable}{%
@@ -3544,8 +4983,7 @@
 \let\output@prep@theindex\@empty
 \def\output@post@theindex{%
  \@ifodd\c@page{}{%
-  \@ifnum{\pagegrid@cur=\@ne}{% we have the leftmost column of a verso page
-   % insert the current top-level continued head
+  \@ifnum{\pagegrid@cur=\@ne}{%
   }%
  }%
 }%
@@ -3560,7 +4998,6 @@
     \force@deferlist@stuck#1%
    }%
   }{%
-   %Successfully committed float(s)
   }%
   \global\let\@deferlist@postshipout\@empty
  }%
@@ -3568,7 +5005,7 @@
 \def\@fltstk{%
  \@latex@warning{A float is stuck (cannot be placed without \string\clearpage)}%
 }%
-\appdef\@outputpage{%
+\appdef\@outputpage@tail{%
  \global\let\@deferlist@postshipout\@deferlist
 }%
 \def\@next#1#2{%
@@ -3588,12 +5025,12 @@
  }{}%
 }%
 \def\force@deferlist@stuck#1{%
-\force@deferlist@sw{%
+ \force@deferlist@sw{%
   \@booleantrue\clearpage@sw
   \@booleantrue\forcefloats@sw
   #1%
-}{%
-}%
+ }{%
+ }%
 }%
 \def\force@deferlist@empty{%
  \force@deferlist@sw{%
@@ -3611,11 +5048,11 @@
  \do@startcolumn
 }%
 \def\enlargethispage{%
-\@ifstar{%
-\@enlargethispage{}%
-}{%
-\@enlargethispage{}%
-}%
+ \@ifstar{%
+  \@enlargethispage{}%
+ }{%
+  \@enlargethispage{}%
+ }%
 }%
 \def\@enlargethispage#1#2{%
  \begingroup
@@ -3632,14 +5069,14 @@
  }{%
   \def\@tempa{mlt}%
   \@ifx{\thepagegrid\@tempa}{%
-   \@ifnum{\pagegrid@cur=\@ne}{% OK to adjust this page
+   \@ifnum{\pagegrid@cur=\@ne}{%
     \gdef\enlarge@colroom{#2}%
     \true@sw
-   }{% Can only adjust this column; give up
+   }{%
     \ltxgrid@warn{Too late to enlarge this page; move the command to the first column.}%
     \false@sw
    }%
-  }{% Unknown page grid
+  }{%
    \ltxgrid@warn{Unable to enlarge a page of this kind.}%
    \false@sw
   }%
@@ -3649,13 +5086,12 @@
   \global\advance\@colroom#2\relax
   \set@vsize
  }{%
-  % Could not adjust this page
  }%
 }%
 \let\enlarge@colroom\@empty
 \let\@kludgeins\@undefined
 \@booleantrue\textheight@sw
-\prepdef\@outputpage{%
+\prepdef\@outputpage@head{%
  \textheight@sw{%
   \count@\vbadness\vbadness\@M
   \dimen@\vfuzz\vfuzz\maxdimen
@@ -3672,121 +5108,441 @@
  \ltxgrid@warn@sw{\class@warn}{\@gobble}%
 }%
 \@booleantrue\ltxgrid@warn@sw
-%% Source File: textcase.dtx
-%% Copyright 1997 1998 David Carlisle
-%%
-%% This file may be distributed under the terms of the LPPL.
-%% See 00readme.txt for details.
-\NeedsTeXFormat{LaTeX2e}
-\ProvidesPackage{textcase}
-       [1998/11/12 v0.06 Text only upper/lower case changing (DPC)]
-\def\@uclcnotmath#1#2#3#4{\begingroup
-      #1%
-      \def\({$}\let\)\(%
-      \def\NoCaseChange##1{\noexpand\NoCaseChange{\noexpand##1}}%
-      \@nonchangecase\label
-      \@nonchangecase\ref
-      \@nonchangecase\ensuremath
-      \def\cite##1##{\toks@{\noexpand\cite##1}\@citex}%
-      \def\@citex##1{\NoCaseChange{\the\toks@{##1}}}%
-      \def\reserved@a##1##2{\let#2\reserved@a}%
-      \expandafter\reserved@a\@uclclist\reserved@b{\reserved@b\@gobble}%
-      \protected@edef\reserved@a{\endgroup
-          \noexpand\@skipmath#3#4$\valign$}%
-      \reserved@a}
-\def\@nonchangecase#1{\def#1##1{\NoCaseChange{#1{##1}}}}
-\let\NoCaseChange\@firstofone
-\def\@skipmath#1#2$#3${%
-  \@skip@nonchangecase#1#2\NoCaseChange\valign
-  \ifx\valign#3%
-  \else
-    $#3$%
-    \expandafter\@skipmath\expandafter#1%
-  \fi}
-\def\@skip@nonchangecase#1#2\NoCaseChange#3{%
-  #1{#2}%
-  \ifx\valign#3%
+\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
-    #3%
-    \expandafter\@skip@nonchangecase\expandafter#1%
-  \fi}
-\DeclareRobustCommand\MakeTextUppercase{%
-  \@uclcnotmath{\def\i{I}\def\j{J}}{##1##2}\uppercase}
-\protected@edef\MakeTextUppercase#1{\MakeTextUppercase{#1}}
-\DeclareRobustCommand\MakeTextLowercase{%
-  \@uclcnotmath{}{##2##1}\lowercase}
-\protected@edef\MakeTextLowercase#1{\MakeTextLowercase{#1}}
-\DeclareOption{overload}{%
-  \expandafter\let\csname MakeUppercase \expandafter\endcsname
-                  \csname MakeTextUppercase \endcsname
-  \expandafter\let\csname MakeLowercase \expandafter\endcsname
-                  \csname MakeTextLowercase \endcsname}
-\ProcessOptions
-\let\ProvidesPackage\ProvidesPackage@latex
-\let\ProcessOptions\ProcessOptions@latex
-\let\DeclareOption\DeclareOption@latex
-\expandafter
-\let\csname MakeUppercase \expandafter\endcsname
-    \csname MakeTextUppercase \endcsname
-\expandafter
-\let\csname MakeLowercase \expandafter\endcsname
-    \csname MakeTextLowercase \endcsname
-\appdef\class@documenthook{%
- \switch@longtable
+    \@bsphack
+    \vadjust{\@restorepar
+             \hrule \@height\z@
+             \nobreak
+             \vskip #1
+             \vskip\z@skip}%
+    \@esphack
+\fi
 }%
-\appdef\class@documenthook{%
- \expandafter\@ifnotrelax\csname boldmath \endcsname{}{%
-  \expandafter\let\csname boldmath \endcsname\boldmath
-  \expandafter\def\expandafter\boldmath\expandafter{\expandafter\protect\csname boldmath \endcsname}%
+\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
  }%
 }%
-\appdef\class@documenthook{%
- \class@inithook
+\def\@no@pgbk@org #1[#2]{%
+  \ifvmode
+    \penalty #1\@getpen{#2}%
+  \else
+    \@bsphack
+    \vadjust{\penalty #1\@getpen{#2}}%
+    \@esphack
+  \fi
 }%
-\def\class@inithook{}%
-\appdef\class@inithook{%
- \@ifxundefined\twocolumn@sw{\@booleanfalse\twocolumn@sw}{}%
+\def\@no@pgbk@ltx#1[#2]{%
+ \@ifvmode{%
+  \penalty#1\@getpen{#2}%
+ }{%
+  \@bsphack
+  \ex@vadjust@ltx{%
+   \penalty#1\@getpen{#2}%
+  }%
+  \@esphack
+ }%
 }%
-\appdef\class@inithook{%
- \@ifxundefined\footinbib@sw{\@booleanfalse\footinbib@sw}{}%
+\long\def\end@line@org{%
+ \let\reserved@e\relax
+ \let\reserved@f\relax
+ \@ifstar{%
+  \let\reserved@e\vadjust
+  \let\reserved@f\nobreak
+  \@xnewline
+ }%
+ \@xnewline
 }%
-\appdef\class@inithook{%
- \@ifxundefined\preprintsty@sw{\@booleanfalse\preprintsty@sw}{}%
+\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
+ }%
 }%
-\appdef\class@inithook{%
- \@ifxundefined\preprint@sw{\@booleanfalse\preprint@sw}{}%
- \preprintsty@sw{\@booleantrue\preprint@sw}{}%
+\def\@newline@org[#1]{%
+ \let\reserved@e\vadjust
+ \@gnewline{\vskip#1}%
 }%
-\appdef\class@inithook{%
- \@ifxundefined\galley@sw{\@booleanfalse\galley@sw}{}%
+\def\@newline@ltx[#1]{%
+ \let\reserved@e\ex@vadjust@ltx
+ \@gnewline{\vskip#1}%
 }%
-\appdef\class@inithook{%
- \@ifxundefined\showPACS@sw{\@booleanfalse\showPACS@sw}{}%
- \@ifxundefined\showKEYS@sw{\@booleanfalse\showKEYS@sw}{}%
+ \@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}%
 }%
-\appdef\class@inithook{%
- \@ifxundefined\twoside@sw{\@booleanfalse\twoside@sw}{}%
- \twoside@sw{\@twosidetrue}{\@twosidefalse}%
+\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
 }%
-\appdef\class@inithook{%
- \@ifxundefined\draft@sw{\@booleanfalse\draft@sw}{}%
- \draft@sw{\overfullrule 5\p@}{\overfullrule\z@}%
+\newcommand\linenomathNonumbers@LN{%
+  \ifLineNumbers
+    \ifnum\interlinepenalty>-\linenopenaltypar
+      \global\holdinginserts\thr@@
+      \advance\interlinepenalty \linenopenalty
+     \ifhmode
+      \advance\predisplaypenalty \linenopenalty
+     \fi
+    \fi
+  \fi
+  \ignorespaces
 }%
-\appdef\class@inithook{%
- \@ifxundefined\tightenlines@sw{\@booleanfalse\tightenlines@sw}{}%
+\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@inithook{%
- \@ifxundefined\lengthcheck@sw{\@booleanfalse\lengthcheck@sw}{}%
+\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.}%
+  }%
+ }{%
+ }%
 }%
-\appdef\class@inithook{%
- \@ifxundefined\eqsecnum@sw{\@booleanfalse\eqsecnum@sw}{}%
- \eqsecnum@sw{%
-  \@addtoreset{equation}{section}%
-  \def\theequation@prefix{\arabic{section}.}%
+\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
 }%
-\appdef\class@inithook{%
- \@ifxundefined\byrevtex@sw{\@booleanfalse\byrevtex@sw}{}%
+\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
@@ -3804,13 +5560,19 @@
  \@booleanfalse\floats@sw % table can break over pages
 }%
 \DeclareOption{preprint}{%
-  \@booleantrue\preprintsty@sw
-  \def\@pointsize{12}%
+ \@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
 }%
@@ -3823,157 +5585,196 @@
 \DeclareOption{noshowkeys}{%
   \@booleanfalse\showKEYS@sw
 }%
+\@booleanfalse\showPACS@sw
+\@booleanfalse\showKEYS@sw
 \DeclareOption{balancelastpage}{%
   \@booleantrue\balancelastpage@sw
 }%
 \DeclareOption{nobalancelastpage}{%
   \@booleanfalse\balancelastpage@sw
 }%
-\appdef\class@inithook{%
- \@ifxundefined\balancelastpage@sw{%
-  \@booleantrue\balancelastpage@sw
- }{}%
-}%
+\@booleantrue\balancelastpage@sw
 \DeclareOption{nopreprintnumbers}{\@booleanfalse\preprint@sw}%
 \DeclareOption{preprintnumbers}{\@booleantrue\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}}
-\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}%
+\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}}
-\DeclareOption{bibnotes}{\@booleantrue\bibnotes@sw}%
-\DeclareOption{nobibnotes}{\@booleanfalse\bibnotes@sw}%
-\appdef\class@enddocumenthook{\auto@bib}%
-\appdef\class@inithook{%
- \@ifxundefined\bibnotes@sw{\@booleanfalse\bibnotes@sw}{}%
- \bibnotes@sw{%
-  \let\frontmatter@footnote@produce\frontmatter@footnote@produce@endnote
- }{%
-  \let\frontmatter@footnote@produce\frontmatter@footnote@produce@footnote
- }%
+    \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}%
-\appdef\class@inithook{%
- \@ifxundefined\altaffilletter@sw{\@booleanfalse\altaffilletter@sw}{}%
-}%
+\@booleanfalse\altaffilletter@sw
 \DeclareOption{superbib}{%
- \def\place@bibnumber{\place@bibnumber@sup}%
-}%
-\DeclareOption{citeautoscript}{%
- \@booleantrue\citeautoscript@sw
+ \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{twoside}{\@booleantrue\twoside@sw \@mparswitchfalse}
-\DeclareOption{oneside}{\@booleanfalse\twoside@sw\@mparswitchtrue}
-\AtEndOfClass{%
- \def\clear@document{%
-  \close@column
- }%
- \appdef\class@inithook{%
-  \@ifxundefined\close@column{%
-   \let\close@column\close@column@default
-  }{}%
- }%
+\DeclareOption{longbibliography}{\@booleantrue\longbibliography@sw}%
+\DeclareOption{nolongbibliography}{\@booleanfalse\longbibliography@sw}%
+\@booleanfalse\longbibliography@sw
+\@booleanfalse\twoside@sw
+\appdef\document@inithook{%
+ \twoside@sw{\@twosidetrue}{\@twosidefalse}%
 }%
-\DeclareOption{twocolumn}{%
-  \@booleantrue\twocolumn@sw
+\DeclareOption{twoside}{\@booleantrue \twoside@sw\@mparswitchfalse}%
+\DeclareOption{oneside}{\@booleanfalse\twoside@sw\@mparswitchtrue}%
+\def\clear@document{%
+ \close@column
 }%
-\DeclareOption{onecolumn}{%
-  \@booleanfalse\twocolumn@sw
+\DeclareOption{onecolumn}{\@booleanfalse\twocolumn@sw}%
+\DeclareOption{twocolumn}{\@booleantrue \twocolumn@sw}%
+\@booleanfalse\twocolumn@sw
+\def\select@column@grid{%
+ \twocolumn@sw{%
+  \open@twocolumn
+ }{%
+ }%
+}%
+\appdef\class@documenthook{%
+ \select@column@grid
 }%
+\DeclareOption{author-year}{\@booleantrue\authoryear@sw}%
+\DeclareOption{numerical}{\@booleanfalse\authoryear@sw}%
+\@booleanfalse\authoryear@sw
 \DeclareOption{galley}{%
   \ExecuteOptions{onecolumn}%
   \@booleantrue\galley@sw
-  \appdef\set@pica@hook{%
+  \@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
- \@booleantrue\twoside@sw
- \@booleantrue\twocolumn@sw
+ \ExecuteOptions{reprint}%
 }%
-\DeclareOption{draft}{%
- \@booleantrue\draft@sw
+\appdef\setup@hook{%
+ \lengthcheck@sw{\@booleantrue\tally@box@size@sw}{}%
 }%
-\DeclareOption{final}{%
- \@booleanfalse\draft@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{eqsecnum}{\@booleantrue\eqsecnum@sw}
-\DeclareOption{secnumarabic}{\@booleantrue\secnumarabic@sw}
-\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}
-\appdef\class@inithook{%
- \@ifxundefined\floats@sw{\@booleantrue\floats@sw}{}%
- \@ifxundefined\floatp@sw{\@booleantrue\floatp@sw}{}%
-}%
+\@booleantrue\floats@sw
+\@booleantrue\floatp@sw
 \DeclareOption{titlepage}{\@booleantrue\titlepage@sw}
 \DeclareOption{notitlepage}{\@booleanfalse\titlepage@sw}
-\appdef\defaults@hook{%
- \@ifxundefined\titlepage@sw{\@booleanfalse\titlepage@sw}{}%
-}%
+\@booleanfalse\titlepage@sw
 \def\change@society#1{%
  \def\@tempa{#1}%
- \@ifxundefined\@society{}{%
+ \@ifxundefined\@society{%
+  \class@info{Selecting society \@tempa}%
+  \let\@society\@tempa
+ }{%
   \@ifx{\@tempa\@society}{}{%
-   \class@warn{Conflicting society \@tempa<>\@society.}%
+   \class@warn{Conflicting society \@tempa<>\@society; not selected}%
   }%
  }%
- \let\@society\@tempa
 }%
-\DeclareOption{aps}{\change@society{aps}\def\@journal{}}%
-\DeclareOption{pra}{\change@society{aps}\def\@journal{pra}}%
-\DeclareOption{prb}{\change@society{aps}\def\@journal{prb}}%
-\DeclareOption{prc}{\change@society{aps}\def\@journal{prc}}%
-\DeclareOption{prd}{\change@society{aps}\def\@journal{prd}}%
-\DeclareOption{pre}{\change@society{aps}\def\@journal{pre}}%
-\DeclareOption{prl}{\change@society{aps}\def\@journal{prl}}%
-\DeclareOption{prstab}{\change@society{aps}\def\@journal{prstab}}%
-\DeclareOption{rmp}{\change@society{aps}\def\@journal{rmp}}%
-\DeclareOption{osa}{\change@society{osa}\def\@journal{}}%
+\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
 }%
-\AtEndOfClass{%
+\appdef\rtx@require@packages{%
  \@ifxundefined\class@amsfonts{}{\class@amsfonts}%
 }%
 \DeclareOption{amssymb}{%
@@ -3982,7 +5783,7 @@
 \DeclareOption{noamssymb}{%
   \let\class@amssymb\@empty
 }%
-\AtEndOfClass{%
+\appdef\rtx@require@packages{%
  \@ifxundefined\class@amssymb{}{\class@amssymb}%
 }%
 \DeclareOption{amsmath}{%
@@ -3991,7 +5792,7 @@
 \DeclareOption{noamsmath}{%
   \let\class@amsmath\@empty
 }%
-\AtEndOfClass{%
+\appdef\rtx@require@packages{%
  \preserve@LaTeX
  \@ifxundefined\class@amsmath{}{\class@amsmath}%
  \appdef\class@enddocumenthook{\test@amsmath@ver}%
@@ -4030,15 +5831,111 @@
  \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}%
+\DeclareOption{raggedfooter}{\@booleanfalse\textheight@sw}%
+\DeclareOption{noraggedfooter}{\@booleantrue\textheight@sw}%
+\DeclareOption{frontmatterverbose}{\@booleantrue\frontmatterverbose@sw}%
+\@booleanfalse\frontmatterverbose@sw
+\DeclareOption{linenumbers}{%
+ \appdef\rtx@require@packages{%
+  \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{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
 }%
-\appdef\class@inithook{%
- \@ifxundefined\groupauthors@sw{\clo@groupedaddress}{}%
-}%
 \DeclareOption{unsortedaddress}{\clo@unsortedaddress}%
 \def\clo@unsortedaddress{%
  \@booleantrue\groupauthors@sw
@@ -4057,53 +5954,64 @@
  \@booleantrue\@affils@sw
  \@booleanfalse\runinaddress@sw
 }%
-\DeclareOption{byrevtex}{\@booleantrue\byrevtex@sw}%
-\DeclareOption{floatfix}{\@booleantrue\force@deferlist@sw}%
-\DeclareOption{nofloatfix}{\@booleanfalse\force@deferlist@sw}%
-\appdef\class@inithook{%
- \@ifxundefined\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]}%
- }%
+%%%  @LaTeX-file{
+%%%     filename        = "revtex4-1.dtx",
+%%%     version         = "4.1g",
+%%%     date            = "2009/10/08",
+%%%     time            = "11:23:00 GMT+8",
+%%%     checksum        = "7177",
+%%%     author          = "Arthur Ogawa (mailto:arthur_ogawa at sbcglobal.net),
+%%%                        commissioned by the American Physical Society.
+%%%                        ",
+%%%     copyright       = "Copyright (C) 1999, 2009 Arthur Ogawa,
+%%%                        distributed under the terms of the
+%%%                        LaTeX Project Public License, see
+%%%                        ftp://ctan.tug.org/macros/latex/base/lppl.txt
+%%%                        ",
+%%%     address         = "Arthur Ogawa,
+%%%                        USA",
+%%%     telephone       = "",
+%%%     FAX             = "",
+%%%     email           = "mailto colon arthur_ogawa at sbcglobal.net",
+%%%     codetable       = "ISO/ASCII",
+%%%     keywords        = "latex, page grid, main vertical list",
+%%%     supported       = "yes",
+%%%     abstract        = "package to change page grid, MVL",
+%%%     docstring       = "The checksum field above generated by ltxdoc",
+%%%  }
+\def\substyle@post{4-1}%
+\def\substyle@ext{rtx}%
+\DeclareOption*{\OptionNotUsed}%
+\def\@process@society#1{%
+ \@ifxundefined\@society{%
+  \class@warn{No Society specified, using default society #1}%
+  \def\@society{#1}\let\@journal\@undefined
+ }{}%
+ \expandafter\input\expandafter{\@society\substyle@post.\substyle@ext}%
 }%
-\DeclareOption{ltxgridinfo}{\@booleantrue\ltxgrid@info@sw}%
-\DeclareOption{outputdebug}{\@booleantrue\outputdebug@sw}%
-\DeclareOption{raggedfooter}{\@booleanfalse\textheight@sw}%
-\DeclareOption{noraggedfooter}{\@booleantrue\textheight@sw}%
-\DeclareOption{newabstract}{\@booleanfalse\oldabstract@sw}%
-\DeclareOption{oldabstract}{\@booleantrue \oldabstract@sw}%
-\appdef\class@inithook{%
- \@ifxundefined\oldabstract@sw{\@booleanfalse\oldabstract@sw}{}%
- \oldabstract@sw{%
-  \let@environment{abstract}{abstract-old}%
+\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}%
 }%
-\DeclareOption*{%
- \IfFileExists{\CurrentOption\substyle@ext}{%
-  \expandafter\change@society\expandafter{\CurrentOption}%
- }{%
-  \OptionNotUsed
- }%
+\def\rtx@do@substyle#1{%
+ \InputIfFileExists{#1\substyle@post.\substyle@ext}{}{\csname rtx@#1\endcsname}%
 }%
-\def\substyle@ext{.rtx}%
-\AtEndOfClass{%
- \@ifxundefined\@society{%
-  \class@warn{No Society specified, using generic APS style}%
-  \def\@society{aps}\def\@journal{}%
+\def\@process@pointsize#1{%
+ \@ifxundefined\@pointsize{%
+  \def\@pointsize{#1}%
+  \class@warn{No type size specified, using default \@pointsize}%
  }{}%
- \expandafter\input\expandafter{\@society\substyle@ext}%
+ \expandafter\expandafter
+ \expandafter\rtx@do@substyle
+ \expandafter\expandafter
+ \expandafter{\expandafter\@society\@pointsize pt}%
 }%
-\ExecuteOptions{10pt}
-\ProcessOptions\relax
   \def\ps@headings{%
       \let\@oddfoot\@empty\let\@evenfoot\@empty
       \def\@evenhead{\thepage\hfil\slshape\leftmark}%
@@ -4130,19 +6038,19 @@
     \let\subsectionmark\@gobble
     }%
 \def\ps@article{%
-    \@provide\@evenhead{\let\\\heading@cr\thepage\quad\checkindate\hfil{\leftmark}}%
-    \@provide\@oddhead{\let\\\heading@cr{\rightmark}\hfil\checkindate\quad\thepage}%
-    \@provide\@oddfoot{}%
-    \@provide\@evenfoot{}%
+    \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{%
-    \@provide\@evenhead{\let\\\heading@cr\thepage\quad\checkindate\hfil{\leftmark}}%
-    \@provide\@oddhead{\let\\\heading@cr{\rightmark}\hfil\checkindate\quad\thepage}%
-    \@provide\@oddfoot{}%
-    \@provide\@evenfoot{}%
+    \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{%
@@ -4159,30 +6067,20 @@
       }%
     }%
 }%
-\appdef\class@inithook{%
-}%
 \def\heading@cr{\unskip\space\ignorespaces}%
 \def\ps@preprint{%
-  \@provide\@oddfoot{\hfil\thepage\quad\checkindate\hfil}%
-  \@provide\@evenfoot{\hfil\thepage\quad\checkindate\hfil}%
-  \@provide\@oddhead{}%
-  \@provide\@evenhead{}%
+  \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\@undefined
-\let\@evenhead\@undefined
-\let\@oddfoot\@undefined
-\let\@evenfoot\@undefined
-\AtEndOfClass{%
- \appdef\class@documenthook{%
-  \@provide\@oddhead{}%
-  \@provide\@evenhead{}%
-  \@provide\@oddfoot{}%
-  \@provide\@evenfoot{}%
- }%
-}%
+\let\@oddhead\@empty
+\let\@evenhead\@empty
+\let\@oddfoot\@empty
+\let\@evenfoot\@empty
 \def\lastpage@putlabel{%
  \if@filesw
   \begingroup
@@ -4191,853 +6089,20 @@
   \endgroup
  \fi
 }%
-\AtEndOfClass{%
- \appdef\clear@document{%
-  \clearpage
-  \lastpage@putlabel
- }%
+\appdef\clear@document{%
+ \clearpage
+ \lastpage@putlabel
+ \tally@box@size@sw{\total@text}{}%
 }%
-\RequirePackage{url}%
-\appdef\class@inithook{%
+\providecommand\write@column@totals{}%
+\appdef\rtx@require@packages{%
+ \RequirePackage{url}%
+}%
+\appdef\document@inithook{%
  \incompatible@package{cite}%
+ \incompatible@package{mcite}%
  \incompatible@package{multicol}%
 }%
-\renewcommand\title[2][]{%
- \def\@title{#2}%
- \def\@shorttitle{#1}%
- \let\@AF@join\@title@join
-}%
-\appdef\class@inithook{%
- \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}
-\renewcommand\author{% implicit #1
- \@author@def{}% implicit #2
-}%
-\def\collaboration{% implicit #1
- \groupauthors@sw{%
-  \class@warn{%
-   \string\collaboration\space is only allowed with superscriptaddress option.
-   Use superscriptaddress in place of groupedaddress, unsortedaddress, or runinaddress%
-  }%
- }{}%
- \@author@def{\@booleantrue\collaboration@sw}% implicit #2
-}%
-\def\@author@cleared{{}{}}%
-\def\@author@init{%
- \let\@author\@author@cleared
-}%
-\def\@authorclear@sw{\@ifx{\@author\@author@cleared}}%
-\appdef\class@inithook{%
- \@author@init
-}%
-\def\@author@def#1#2{%
- \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\@author@gobble#1#2{}%
-\def\move@AU{%
- \@authorclear@sw{}{%
-  \collaboration@sw{%
-    \expandafter\appdef
-    \expandafter\AU@grp
-    \expandafter{%
-    \expandafter \CO@opr
-                 \@author
-                }%
-  }{%
-    \expandafter\appdef
-    \expandafter\AU@grp
-    \expandafter{%
-    \expandafter \AU@opr
-                 \@author
-                }%
-  }%
- }%
- \@author@init
- \@booleanfalse\collaboration@sw
-}%
-\def\@author@finish{%
- \move@AU\move@AF
- \@ifx{\AU@grp\@empty}{}{%
-  \@ifx{\AF@grp\@empty}{%
-   \begingroup
-    \let\href\@secondoftwo
-    \let\AU@opr\@firstoftwo
-    \let\CO@opr\@firstoftwo
-    \class@warn{Assuming \string\noaffiliation\space for \AU@grp}%
-   \endgroup
-   \begingroup\@affiliation{\blankaffiliation}%\endgroup in \@affiliation
-   \move@AF
-  }{}%
- }%
- \move@AUAF
-}%
-\def\@join#1#2#3{%
-  \@if@empty{#2}{#3}{#2#1#3}%
-}%
-\def\@separator{;\space}%
-\let\surname\@firstofone
-\let\firstname\@firstofone
-\let\AU@grp\@empty
-\renewcommand\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{%
- \move@AU\move@AF
- \begingroup
-  \cat@comma@active
-  \@affiliation
-}%
-\def\@affiliation#1{%
- \endgroup
- \let\@AF@join\@affil@join
- \@affil@def{#1}%
-}%
-\newcommand\noaffiliation{%
-  \move@AU\move@AF
-  \begingroup\@affiliation{\blankaffiliation}%
-}%
-\def\blankaffiliation{}%
-\def\@affil@cleared{{}{}}%
-\def\@affil@init{%
- \let\@affil\@affil@cleared
-}%
-\def\@affilclear@sw{\@ifx{\@affil\@affil@cleared}}%
-\appdef\class@inithook{%
- \@affil@init
-}%
-\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\@firstoftwodef\expandafter\@tempa\@affil
-    \def\AFF@opr{\@affil@match\@tempa}%
-    \@AFF@list
-  }{}\temp@sw
-  {%
-   \expandafter\@secondoftwodef\expandafter\@tempb\@affil
-   \@ifx{\@tempb\@empty}{}{%
-    \@ifx{\@tempb\@tempd}{}{%
-     \class@warn{%
-      Ancillary information for \@tempa\space must not be different!
-      Please put it on the first instance%
-     }%
-    }%
-   }%
-   \appdef@eval\AF@grp\@tempc
-  }%
-  {%
-    \@if@empty{\expandafter\@firstoftwo\@affil}{%
-\edef\@tempc{\z@}%
-    }{%
-\stepcounter{affil}%
-\edef\@tempc{\theaffil}%
-    }%
-\appdef     \@AFF@list{\AFF@opr}%
-\appdef@eval\@AFF@list\@tempc
-\appdef@e   \@AFF@list{\@affil}%
-\appdef@eval\AF@grp\@tempc
-  }%
-  \@affil@init
- }%
-}%
-\def\@firstoftwodef#1#2#3{%
- \def#1{#2}%
-}%
-\def\@secondoftwodef#1#2#3{%
- \def#1{#3}%
-}%
-\def\move@AUAF{%
- \@ifx{\AF@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\AF@grp}{}{%
-      \@booleanfalse\temp@sw
-      \def\AFS@opr{\x@match\AF@grp}%
-      \@AFG@list
-      \temp@sw{}{%
-        \appdef     \@AFG@list{\AFS@opr}%
-        \appdef@eval\@AFG@list{\AF@grp}%
-      }%
-     }%
-    }%
-    \let\AU@grp\@empty
-    \let\AF@grp\@empty
- }%
-}%
-\appdef\class@inithook{%
- \let\@AAC@list\@empty
-}%
-\appdef\class@inithook{%
- \let\@AFG@list\@empty
-}%
-\appdef\class@inithook{%
- \let\@AFF@list\@empty
-}%
-\let\AF@grp\@empty
-\def\@affil@match#1#2#3#4{%
- \temp@sw{}{%
-  \def\@tempifx{#3}%
-  \@ifx{\@tempifx#1}{%
-    \@booleantrue\temp@sw
-    \def\@tempc{#2}%
-    \def\@tempd{#4}%
-  }{%
-  }%
- }%
-}%
-\appdef\class@inithook{%
- \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][Electronic address: ]{\begingroup\sanitize@url\@email{#1}}%
-\def\@email#1#2{%
- \endgroup
- \@AF@join{#1\href{mailto:#2}{#2}}%
-}%
-\newcommand*\homepage[1][URL:~]{\begingroup\sanitize@url\@homepage{#1}}%
-\def\@homepage#1#2{%
- \endgroup
- \@AF@join{#1\url{#2}}%
-}%
-\appdef\class@documenthook{%
- \providecommand\url{\texttt}%
- \providecommand\href[2]{\url{#2}}%
-}%
-\def\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@err#1#2{%
-}%
-\def\doauthor#1#2#3{%
-  \ignorespaces#1\unskip\@listcomma
-  \def\@tempifx{#3}%
-  \@ifx{\@tempifx\@empty}{%
-   \def\@tempifx{#2}%
-   \@ifx{\@tempifx\@empty}{}{\frontmatter@footnote{#2}}%
-  }{%
-   #3%
-   \def\@tempifx{#2}%
-   \@ifx{\@tempifx\@empty}{}{\comma@space\frontmatter@footnote{#2}}%
-  }%
-  \space \@listand
-}%
-\def\@thanks{\comma@space\footnote}
-\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
-   \protected@xdef\@tempb{\the\csname c@\@mpfn\endcsname}%
-   \expandafter\frontmatter@footnotemark
-   \expandafter{\@tempb}%
-   \expandafter\g@addto@macro
-   \expandafter\@FMN@list
-   \expandafter{%
-   \expandafter \@TBN@opr
-   \expandafter {\@tempb}{#1}%
-               }%
-  }%
- \endgroup
-}%
-\appdef\class@inithook{%
- \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{\thempfn}%
-    \@makefnmark
-   \hyper@linkend
-  \endgroup
- \ifhmode\spacefactor\@x@sf\fi
- \relax
-}%
-\def\keywords#1{%
-  \aftermaketitle@chk{\keywords}%
-  \gdef\@keywords{#1}%
-}%
-\def\@keywords{}%
-\renewcommand*\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}%
-}%
-\def\@pacs{}%{\class@warn{No PACS numbers}}%
-\def\preprint#1{\gappdef\@preprint{\preprint{#1}}}%
-\let\@preprint\@empty
-\newbox\absbox
-\newenvironment{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\@listdepth\@mplistdepth \@mplistdepth\z@
-   \@minipagerestore
-   \@setminipage
-    \frontmatter@abstractheading
-    \frontmatter@abstractfont
-    \let\footnote\mini@note
-}{%
-    \par
-    \unskip
-    \minipagefootnote@here
-    \@minipagefalse   %% added 24 May 89
-    \color@endgroup
-  \egroup
-}%
-\long\def\frontmatter@footnotetext#1{%
-  \minipagefootnote@pick
-    \reset@font\footnotesize
-    \interlinepenalty \interfootnotelinepenalty
-    \splittopskip \footnotesep
-    \splitmaxdepth \dp \strutbox
-    \set@footnotewidth
-    \@parboxrestore
-    \protected@edef\@currentlabel{\csname p@mpfootnote\endcsname\@thefnmark}%
-    \color@begingroup
-      \frontmatter@makefntext{%
-        \rule\z@\footnotesep\ignorespaces#1\@finalstrut\strutbox
-      }%
-    \color@endgroup
-  \minipagefootnote@drop
-}%
-\def\frontmatter@abstractheading{%
- \begingroup
-  \centering\large
-  \abstractname
-  \par
- \endgroup
-}%
-\def\frontmatter@abstractfont{}%
-\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
-   \unvbox\absbox
-  \@ifx{\@empty\mini@notes}{}{\mini@notes\par}%
-  \addvspace\frontmatter@postabstractspace
-}%
-\def\frontmatter@preabstractspace{.5\baselineskip}
-\def\frontmatter@postabstractspace{.5\baselineskip}
-\newenvironment{titlepage}{%
-      \twocolumn@sw{\onecolumngrid}{\newpage}%
-      \thispagestyle{titlepage}%
-      \setcounter{page}\@ne
-}{%
-     \twocolumn@sw{\twocolumngrid}{\newpage}%
-     \twoside@sw{}{%
-        \setcounter{page}\@ne
-     }%
-}%
-\def\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
-  \titlepage@sw{%
-   \vfil
-   \clearpage
-  }{}%
-}%
-\def\titleblock@produce{%
- \begingroup
-  \let\footnote\footnote@latex
-  \let\@makefnmark\@makefnmark@latex
-  \let\@footnotemark\@footnotemark@latex
-  \let\thefootnote\frontmatter@thefootnote
-  \global\c@footnote\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
-  \@pacs@produce\@pacs
-  \@keywords@produce\@keywords
-  \par
-  \frontmatter@finalspace
- \endgroup
-}%
-\def\frontmatter@title@produce{%
- \begingroup
-  \frontmatter@title@above
-  \frontmatter@title@format
-  \@title
-  \@ifx{\@title@aux\@title@aux@cleared}{}{%
-   \expandafter\frontmatter@footnote\expandafter{\@title@aux}%
-  }%
-  \par
-%% \class@warn{Unused short title ignored}%
-  \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
-    \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{%
- \par
- \begingroup
-  \frontmatter@collaboration@above
-  \@author@present{(\ignorespaces#2\unskip)}{#3}%
-  \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
-    \textsuperscript{\normalfont#1}%
-    #2%
-    \@if@empty{#3}{}{\frontmatter@footnote{#3}}%
-    \par
-   \endgroup
-  }%
- }{}%
-}%
-\def\@affil@script#1#2#3{%
- \@ifnum{#1=\z@}{}{%
-  \par
-  \begingroup
-   \frontmatter@affiliationfont
-   \textsuperscript{#1}%
-   #2%
-   \@if@empty{#3}{}{\frontmatter@footnote{#3}}%
-   \par
-  \endgroup
- }%
-}%
-\def\@author@present@script#1#2{%
- \begingroup
-  \gdef\comma@space{\textsuperscript{,\,}}%
- \doauthor{#1}{#2}{%
-  \let\@tempa\@empty
-  \expandafter\@affil@present@script\@affilID@temp\relax
- }%
- \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#1{%
- \@ifx{\relax#1}{%
-  \@ifx{\@tempa\@empty}{}{%
-   \textsuperscript{\expandafter\@affilcomma\@tempa\relax\relax}%
-  }%
- }{%
-  \@ifx{\z@#1}{}{\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
-    \let\AFS@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}%               % 0B13
-   \@tempcnta\z@
-   \let\AU@opr \undefined          % 0B13
-   \let\CO@opr \undefined          % 0B13
-   \def\AF@opr{\@affilID@count\AF@temp\@tempcnta}% 0B13
-   \@AAC@list
-   \@ifnum{\@tempcnta=\z@}{}{%
-    \begingroup
-     \frontmatter@above@affilgroup
-     \set@listcomma@count\@tempcnta
-     \let\AU@opr \undefined          % 0B13
-     \let\CO@opr \undefined          % 0B13
-     \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{\z@\AF@temp}{}{%
-       \advance\@tempcnta\@ne
-      }%
-     }%
-     \@ifnum{\@tempcnta=\tw@}{%
-      \let\@listcomma\relax
-     }{}%
-     \def\after@address{\@listcomma\ \@listand}%
-     \runinaddress@sw{%
-     }{%
-      \tightenlines@sw{%
-      }{%
-       \parskip\z@ %space between affilations in grouped mode
-      }%
-      \appdef\after@address\par
-     }%
-     \let\AFF@opr \@affil@group
-     \do@affil@fromgroup\@AFF@list#1\relax
-    \endgroup
-   }%
-   \par
- \endgroup
-}%
-\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@err
-}%
-\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@err
-}%
-\def\do@affil@fromgroup#1#2{%
-  \@ifx{\relax#2}{}{%
-\count@#2\relax
-\@ifnum{\count@=\z@}{}{#1}%
-    \do@affil@fromgroup#1%
-  }%
-}%
-\def\@affil@group#1#2#3{%
-  \@ifnum{\count@=#1\relax}{%
-    \@ifx{#2\blankaffiliation}{}{%
-#2%
-\@if@empty{#3}{}{%
-\frontmatter@footnote{#3}%
-}%
-\after@address
-    }%
-    \advance\@tempcnta\m@ne
-  }{}%
-}%
-\def\@author@present@group#1#2{%
-  \gdef\comma@space{\gdef\comma@space{\textsuperscript{,\,}}}%
-  \doauthor{#1}{#2}{}%
-  \advance\@tempcnta\m@ne
-}%
-\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{\thempfn}%
-  \frontmatter@footnotetext{#2}%
- \endgroup
-}%
-\def\frontmatter@footnote@produce@endnote{%
-}%
-\def\frontmatter@thefootnote{%
- \altaffilletter@sw{\@alph}{\@fnsymbol}\c@footnote
-}%
-\def\frontmatter@makefnmark{%
- \@textsuperscript{%
-  \normalfont\@thefnmark
- }%
-}%
-\long\def\frontmatter@makefntext#1{%
- \parindent 1em
- \noindent
- \Hy@raisedlink{\hyper@anchorstart{frontmatter@\the\c@footnote}\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{}%
-\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\labelenumi{\theenumi.}
 \def\theenumi{\arabic{enumi}}
 \def\labelenumii{(\theenumii)}
@@ -5087,7 +6152,7 @@
  \endlist
 }%
 \def\descriptionlabel#1{%
-  \hspace\labelsep \normalfont\bfseries #1%
+  \hspace\labelsep \normalfont\bfseries #1\unskip:%
 }%
 \newenvironment{description}{%
  \list{}{%
@@ -5097,29 +6162,74 @@
 }{%
  \endlist
 }%
-\newcounter{part}
-\newcounter{section}
-\newcounter{subsection}[section]
-\newcounter{subsubsection}[subsection]
-\newcounter{paragraph}[subsubsection]
-\newcounter{subparagraph}[paragraph]
-\def\thepart          {\Roman{part}} %
-\def\thesection       {\Roman{section}}
-\def\p@section        {}
-\def\thesubsection    {\Alph{subsection}}
-\def\p@subsection     {\thesection\,}
-\def\thesubsubsection {\arabic{subsubsection}}
-\def\p@subsubsection  {\thesection\,\thesubsection\,}
-\def\theparagraph     {\alph{paragraph}}
-\def\p@paragraph      {\thesection\,\thesubsection\,\thesubsubsection\,}
-\def\thesubparagraph  {\arabic{subparagraph}}
-\def\p@subparagraph   {\thesection\,\thesubsection\,\thesubsubsection\,\theparagraph\,}
+\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{%
-  \section*{\acknowledgmentsname}%
+  \expandafter\section\expandafter*\expandafter{\acknowledgmentsname}%
  }{%
   \par
- \phantomsection
+  \phantomsection
   \addcontentsline{toc}{section}{\protect\numberline{}\acknowledgmentsname}%
  }%
 }{%
@@ -5213,9 +6323,6 @@
  \theequation@prefix\arabic{equation}%
 }%
 \def\theequation@prefix{}%
-\AtEndOfClass{%
- \expandafter\input\expandafter{\@pointsize pt\substyle@ext}%
-}%
 \setcounter{secnumdepth}{4}
 \lineskip 1pt
 \normallineskip 1pt
@@ -5239,6 +6346,8 @@
 \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@}
@@ -5250,14 +6359,14 @@
    \small\rmfamily
    \sbox\@tempboxa{%
     \let\\\heading@cr
-    #1: #2%
+    \@make@capt@title{#1}{#2}%
    }%
    \@ifdim{\wd\@tempboxa >\hsize}{%
     \begingroup
      \samepage
      \flushing
      \let\footnote\@footnotemark@gobble
-     #1: #2\par
+     \@make@capt@title{#1}{#2}\par
     \endgroup
    }{%
      \global \@minipagefalse
@@ -5266,6 +6375,10 @@
   \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}%
@@ -5278,12 +6391,17 @@
  \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}%
 }%
@@ -5300,8 +6418,6 @@
 }%
 \appdef\@xfloat@prep{%
  \appdef\@parboxrestore{\centering}%
- \let\@makefnmark\@makefnmark@latex
- \let\@footnotemark\@footnotemark@latex
 }%
 \newenvironment{table}
                {\@float{table}}
@@ -5315,10 +6431,14 @@
 \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}%
-\appdef\class@documenthook{%
+\def\set@table@environments{%
  \floats@sw{}{%
   \let@environment{longtable@float}{longtable}%
   \let@environment{longtable}{longtable@write}%
@@ -5329,6 +6449,9 @@
  }%
  \do@if@floats{table}{.tbx}%
 }%
+\appdef\document@inithook{%
+ \set@table@environments
+}%
 \appdef\class@enddocumenthook{%
  \printtables\relax
 }%
@@ -5378,10 +6501,49 @@
  \rotatebox{90}{\box\z@}%
  \onecolumngrid@pop
 }%
-\def\endtabular@hook{}%
+\newenvironment{video}
+ {\@float{video}}
+ {\end@float}%
+\newenvironment{video*}
+ {\@dblfloat{video}}
+ {\end@dblfloat}%
+\newcounter{video}
+\renewcommand \thevideo {\@arabic\c@video}
+\def\fps@video{tbp}%
+\def\ftype@video{4}%
+\def\ext@video{lov}%
+\def\fnum@video{\fname@video~\thevideo}%
+\def\fname@video{Video}%
+\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}{%
-  \newcolumntype{d}{D{.}{.}{-1}}%
+  \expandafter\@ifnotrelax\csname NC@find@d\endcsname{}{%
+   \newcolumntype{d}{D{.}{.}{-1}}%
+  }%
  }{}%
 }%
 \def\toprule{\hline\hline}%
@@ -5412,26 +6574,61 @@
 }%
 \def\@makefntext#1{%
   \def\baselinestretch{1}%
-  \reset@font\footnotesize
-  \parindent 1em%
+  \parindent1em%
   \noindent
   \hb@xt@1.8em{%
-   \Hy@raisedlink{\hyper@anchorstart{footnote@\the\c@footnote}\hyper@anchorend}%
    \hss\@makefnmark
   }%
-  #1\par
+  #1%
+  \par
 }%
-\newenvironment{thebibliography}{}{}%
-\let\@listi\@empty
-\RequirePackage[sort&compress]{natbib}[1999/05/28 7.0]%
-\let\NAT@thebibliography\thebibliography
-\let\NAT@endthebibliography\endthebibliography
-\let\bibliographystyle@latex\bibliographystyle
-\renewcommand\NAT@citesuper[3]{%
+\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{#1}%
+  \textsuperscript{\normalfont#1}%
   \if*#3*\else\ (#3)\fi
  \else
   #1%
@@ -5439,17 +6636,46 @@
  \endgroup
 }%
 \def\@makefnmark@cite{\begingroup\NAT@swatrue\@cite{{\@thefnmark}}{}{}}%
-\let\bibliographystyle@latex\bibliographystyle
-\def\bibliographystyle{\def\@bibstyle}%
-\def\bibsection{%
+\def\rtx@bibsection{%
  \@ifx@empty\refname{%
   \par
  }{%
-  \let\@hangfroms@section\@hang@froms
-  \section*{\refname}%
+  \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{%
+ \advance\c@NAT@ctr\@ne
+ \let\@citea\NAT@separator
+ \@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}%
+\newenvironment{thebibliography}{}{}%
+\let\@listi\@empty
+\appdef\rtx@require@packages{%
+ \RequirePackage[sort&compress]{natbib}[2008/12/08 8.3a (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@}%
@@ -5469,46 +6695,46 @@
 \def\newblock{\ }%
 \let\NATx@bibnumfmt\bibnumfmt
 \def\bibnumfmt{\place@bibnumber}%
-\AtEndOfClass{%
- \appdef\class@documenthook{%
-  \@ifxundefined\place@bibnumber{%
-   \let\place@bibnumber\NATx@bibnumfmt
-  }{}%
- }%
-}%
+\let\NAT@merge\thr@@
 \let\NAT@citeyear\citeyear
-\def\NAT@onlinecite#1{%
- \begingroup
-  \let\@cite\NAT@citenum
-  \let\NAT@mbox\mbox
-  \let\citeyear\NAT@citeyear
-  \def\NAT@space{ }%
-  \cite{#1}%
- \endgroup
-}%
-\appdef\class@inithook{%
- \@ifxundefined\@onlinecite{\def\@onlinecite{\citealp}}{}%
- \@ifxundefined\@textcite{\def\@textcite{\citet}}{}%
+\let\onlinecite\rev@citealp
+\let\textcite\rev@citet
+\let\bibliographystyle@latex\bibliographystyle
+\def\bibliographystyle{\def\@bibstyle}%
+\let\bibitemContinue\bibitemContinue@rtx
 }%
+\def\bibitemContinue@rtx{;\spacefactor\@mmm\space}%
 \DeclareRobustCommand\onlinecite{\@onlinecite}%
 \DeclareRobustCommand\textcite{\@textcite}%
-\renewenvironment{thebibliography}[1]{%
+\let\bibliography@latex\bibliography
+\def\bibliography#1{%
+ \@ifx@empty{\pre@bibdata}{%
+  \bibliography@latex{#1}%
+ }{%
+  \@if@empty{#1}{%
+   \expandafter\bibliography@latex\expandafter{\pre@bibdata}%
+  }{%
+   \expandafter\bibliography@latex\expandafter{\pre@bibdata,#1}%
+  }%
+ }%
+ \let\auto@bib\@empty
+}%
+\let\pre@bibdata\@empty
+\newenvironment{rtx@thebibliography}[1]{%
  \NAT@thebibliography{#1}%
- \@clubpenalty\clubpenalty
  \let\@TBN@opr\present@bibnote
  \@FMN@list
 }{%
- \@endnotesinbib
  \edef\@currentlabel{\arabic{NAT@ctr}}%
  \label{LastBibItem}%
- \NAT@endthebibliography
+ \endNAT@thebibliography
  \global\let\auto@bib\@empty
 }%
 \def\present@bibnote#1#2{%
  \item[%
   \textsuperscript{%
    \normalfont
-   \Hy@raisedlink{\hyper@anchorstart{frontmatter@#1}\hyper@anchorend}%
+   \Hy@raisedlink{\hyper@anchorstart{frontmatter.#1}\hyper@anchorend}%
    \begingroup
     \c@footnote#1\relax
     \frontmatter@thefootnote
@@ -5516,20 +6742,6 @@
   }%
  ]#2\par
 }%
-\def\place@bibnumber@sup#1{\textsuperscript{#1}}%
-\def\place@bibnumber@inl#1{[#1]}%
-%% \begin{macro}{\@cite}
-%% \begin{macro}{\nocite}
-%% For the sake of Bib\TeX, we must execute the \cmd\bibliographystyle\ command
-%% (putting a \cmd\bibstyle\ command into the auxiliary file)
-%% somewhere before the first \cmd\cite\ command (or any other like command),
-%% which puts a \cmd\citation\ command into the auxiliary file.
-%%
-%% Therefore, we headpatch the two procedures in \classname{natbib} that can result in
-%% the appearance in the auxiliary file of a \cmd\citation\ command.
-%% These two procedures are \cmd\@cite\ and \cmd\nocite.
-%%
-%% Not!
 \def\write@bibliographystyle{%
  \@ifxundefined\@bibstyle{}{%
   \expandafter\bibliographystyle@latex\expandafter{\@bibstyle}%
@@ -5537,50 +6749,53 @@
  \global\let\write@bibliographystyle\relax
 }%
 \AtEndDocument{\write@bibliographystyle}%
-%% \end{macro}
-%% \end{macro}
-\def\super@cite[#1][#2]#3{%
- \leavevmode
- \skip@\lastskip
- \unskip
+\def\rtx@@citetp[#1]{\@ifnextchar[{\rtx@citex[#1]}{\rtx@citex[][#1]}}%
+\def\rtx@citex[#1][#2]#3{%
  \begingroup
   \def\@tempa{[#1][#2]{#3}}%
-  \super@cite@
+  \@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@{%
- \futurelet\@let@token\super@cite@@
+\def\super@cite@end{%
+ \aftergroup\@citex\expandafter\endgroup\@tempa
 }%
-\long\def\super@cite@@#1{%
+\def\super@cite@check{%
  \@ifx{\@let@token\@sptoken}{%
-  \aftergroup\@sptoken\false@sw
+  \super@cite@end
  }{%
-  \@ifx{\@let@token.}{\true@sw}{%
-   \@ifx{\@let@token,}{\true@sw}{%
-    \@ifx{\@let@token'}{\true@sw}{%
-     \@ifx{\@let@token)}{\true@sw}{%
-      \false@sw
-     }%
-    }%
-   }%
-  }%
+  \super@cite@swap
  }%
- {%
+}%
+\long\def\super@cite@swap#1{%
+ \expandafter\@ifx\expandafter{\csname rtx@automove#1\endcsname\@empty}{%
   #1%
-  \super@cite@
+  \super@cite@let
  }{%
-  \expandafter\@citex@NAT\@tempa\endgroup
+  \super@cite@end
   #1%
  }%
 }%
-\AtBeginDocument{%
+\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{\place@bibnumber\place@bibnumber@sup}{%
-   \let\@citex@NAT\@citex\let\@citex\super@cite
+  \@ifx{\@cite\NAT@citesuper}{%
+   \let\NAT@@citetp\rtx@@citetp
   }{}%
  }{}%
 }%
-\@ifx{\chapter\relax}{\let\chapter\@undefined}{}%
-\def\mini@note{\save@note\mini@notes}%Implicit #1
+\def\mini@note{\save@note\mini@notes}%Implicit #2
 \def\save@note#1#2{%
   \stepcounter{footnote}%
   \protected@xdef\@thefnmark{\the\c@footnote}%
@@ -5594,77 +6809,37 @@
 }%
 \long\def\@@footnotetext#1{\def\@thefnmark{#1}\@footnotetext}%
 \let\mini@notes\@empty
-\def\endnote{%
- \begingroup
-  \aftergroup\@footnotemark
-  \aftergroup\@endnotetext
-  \@ifnextchar[{%
-   \@xendnote
-  }{%
-   \stepcounter{footnote}%
-   \protected@xdef\@tempa{\thefootnote}%
-   \expandafter\@xendnote\expandafter[\@tempa]%
- }%
-}%
-\def\@xendnote[#1]{%
-  \begingroup
-   \c@footnote#1\relax
-   \unrestored@protected@xdef\@thefnmark{endnote\thefootnote}%
-  \endgroup
- \endgroup
-}%
-\def\@endnotemark{%
+\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{%
-  \@ifxundefined\@endnoteout{%
-    \newwrite\@endnoteout
-    \gdef\endnote@stream{\jobname\endnote@ext}%
-    \immediate\openout\@endnoteout\endnote@stream\relax
-  }{}%
   \begingroup
-    \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 \protect \@unexpandable@protect
-    \newlinechar`\^^M%
-    \immediate\write\@endnoteout{\string\@doendnote{\@thefnmark}{#1}}%
+    \endnote@relax
+    \immediate\write\@bibdataout{@MISC{\@endnotelabel,note="#1"}}%year="\@endnotelabel",
   \endgroup
 }%
-\def\endnotetext{%
-  \@ifnextchar[{%
-   \@xendnotenext
-  }{%
-   \protected@xdef\@thefnmark{\thefootnote}%
-   \@endnotetext
-  }%
+\newwrite\@bibdataout
+\appdef\class@documenthook{%
+ \immediate\openout\@bibdataout\pre@bibdata.\bibdata@ext\relax
 }%
-\def\@xendnotenext[#1]{%
-  \begingroup
-     \c@footnote#1\relax
-     \unrestored@protected@xdef\@thefnmark{\thefootnote}%
-  \endgroup
-  \@endnotetext
+\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
 }%
 \def\printendnotes{%
- \@ifx{\@endnoteout\@undefined}{}{%
-  \begingroup
-   \c@secnumdepth-\maxdimen
-   \section{%
-    \notesname
-   }%
-   \immediate\closeout\@endnoteout
-   \global\let\@endnoteout\@undefined
-   \begin{enumerate}%
-   \makeatletter
-   \input{\endnote@stream}%
-   \end{enumerate}%
-  \endgroup
- }%
-}%
-\appdef\class@enddocumenthook{%
- \printendnotes
+ \class@warn{The \string\printendnotes\space command no longer serves any function. Please remove it from your document.}%
 }%
 \mathchardef\firstnote@num\z@
 \appdef\class@documenthook{%
@@ -5676,86 +6851,117 @@
   \class@warn@end{Endnote numbers changed: rerun LaTeX}%
  }%
  \immediate\write\@mainaux{%
-   \global\chardef\string\firstnote@num#1\relax
+  \global\mathchardef\string\firstnote@num#1\relax
  }%
 }%
-\def\@endnotesinbib{%
- \set@firstnote\z@
+\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\@endnotesinbibliography{%
- \expandafter\set@firstnote\expandafter{\the\c@NAT@ctr}%
- \@ifx{\@endnoteout\@undefined}{}{%
-  \immediate\closeout\@endnoteout
-  \global\let\@endnoteout\@undefined
-  \makeatletter
-  \input{\endnote@stream}%
+\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{%
- \let\@makefnmark@latex\@makefnmark
- \let\@footnotemark@latex\@footnotemark
- \footinbib@sw{%
-  \let\footnote\endnote
-  \let\@footnotemark\@endnotemark
-  \let\@makefnmark\@makefnmark@cite
-  \let\@endnotesinbib\@endnotesinbibliography
-  \appdef\class@enddocumenthook{\auto@bib}%
-  \let\printendnotes\relax
- }{}%
+ \make@footnote@endnote
 }%
 \def\auto@bib{%
  \@ifx@empty\@FMN@list{%
-  \@ifxundefined\@endnoteout{%
-   \false@sw
+  \footinbib@sw{%
+   \@ifnum{\thefootnote>\z@}{%
+    \true@sw
+   }{%
+    \test@bbl@sw
+   }%
   }{%
-   \true@sw
+   \test@bbl@sw
   }%
  }{%
   \true@sw
- }{%
-  \begin{thebibliography}{}\end{thebibliography}%
  }%
+ {%
+  \bibliography{}%
+ }{}%
 }%
-\def\@doendnote#1#2{\bibitem{#1}#2}
-\appdef\class@documenthook{%
-\@ifxundefined\@evenhead{%
-\@ifxundefined\@oddhead{%
-\@ifxundefined\@oddfoot{%
-\@ifxundefined\@evenfoot{%
-\preprintsty@sw{%
-\ps@preprint
-}{%
-\ps@article
+\def\test@bbl@sw{%
+ \begingroup
+  \let\providecommand\providecommand@j@nk
+  \let@environment{thebibliography}{thebibliography@nogroup}%
+  \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
+  \setbox\z@\vbox{\IfFileExists {\jobname.bbl}{\@@input\@filef@und}{}}%
+  \bibitem@sw{\aftergroup\true@sw}{\aftergroup\false@sw}%
+ \endgroup
 }%
-}{}%
-}{}%
-}{}%
-}{}%
- \pagenumbering{arabic}%
- \normalsize
+\newcommand\bibitem@set[1][]{%
+ \bibitem@sw{}{%
+  \@booleantrue\bibitem@sw
+  \aftergroup\@booleantrue\aftergroup\bibitem@sw
+ }%
+}%
+\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\thebibliography@nogroup#1{\endgroup\def\@currenvir{thebibliography}}%
+\def\endthebibliography@nogroup{\begingroup}%
+\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}%
- \twocolumn@sw{%
-  \open@column@mlt\tw@
-  \set@colht
-  \@floatplacement
-  \@dblfloatplacement
-  \sloppy
-  \@booleanfalse\raggedcolumn@sw
-  \let\set@listindent\set@listindent@
- }{%
-  \open@column@one\@ne
-  \set@colht
-  \@floatplacement
-  \@dblfloatplacement
-  \sloppy
-  \let\set@listindent\set@listindent@parshape
- }%
+}%
+\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
@@ -5774,12 +6980,12 @@
   \def\thesection{\Alph{section}}%
  }%
 }%
-\def\title@column@default#1{%
+\def\title@column#1{%
  \minipagefootnote@init
  #1%
  \minipagefootnote@foot
 }%
-\def\close@column@default{%
+\def\close@column{%
  \newpage
 }%
 \def\galley@outdent{\rightmargin-\columnwidth\advance\rightmargin-\columnsep}%
@@ -5804,6 +7010,7 @@
   \begingroup
    \let\@footnotetext\frontmatter@footnotetext
    \let\set@footnotewidth\set@footnotewidth@ii
+   \ltx@no@footnote
    #1%
   \endgroup
   \twocolumngrid
@@ -5832,6 +7039,7 @@
   \dimen@\ht\widetext@top\advance\dimen@\dp\widetext@top
   \cleaders\box\widetext@top\vskip\dimen@
   \let\set@footnotewidth\set@footnotewidth@ii
+  \prep@math@patch
 }{%
   \par
   \setbox\widetext@bot\vbox{%
@@ -5845,7 +7053,7 @@
 }%
 \newbox\widetext@top
 \newbox\widetext@bot
-\appdef\class@documenthook{%
+\def\set@page@grid{%
  \twocolumn@sw{%
   \let@environment{widetext}{widetext@grid}%
   \let\title@column\title@column@grid
@@ -5856,16 +7064,11 @@
   }{%
    \galley@sw{%
     \let\widetext@outdent\galley@outdent
-   }{%
-   }%
+   }{}%
   }%
  }%
 }%
-\appdef\class@inithook{%
- \@ifxundefined\title@column{%
-  \let\title@column\title@column@default
- }{}%
-}%
+\appdef\setup@hook{\set@page@grid}%
 \DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm}
 \DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf}
 \DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt}
@@ -5879,7 +7082,6 @@
   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\notesname{Notes}
 \def\partname{Part}
 \def\tocname{Contents}
 \def\lofname{List of Figures}
@@ -5973,12 +7175,11 @@
  \let@environment{tabular}{longtable}%
 }{%
 }%
-\appdef\class@inithook{%
- \@ifxundefined\text{\let\text\REV@text}{}%
- \@ifxundefined\bm{\let\bm\REV@bm}{}%
+\let\text\REV@text
+\let\bm\REV@bm
+\appdef\setup@hook{%
  \providecommand\bibinfo[2]{#2}%
  \providecommand\eprint[2][]{#2}%
- \providecommand\url[1]{#1}%
 }%
 \def\bbox#1{%
  \class@warn@end{\string\bbox\space is obsolete,^^Jload the bm package and use \string\bm\space instead.}%
@@ -5993,28 +7194,62 @@
  \class@warn@end{\string\eqnum\space is obsolete, load the amsmath package and use \string\tag!}%
  \global\let\eqnum\@gobble
 }%
-\RequirePackage{revsymb}%
-\appdef\class@inithook{\revsymb@inithook}%
-\AtEndOfClass{%
- \InputIfFileExists{\jobname.rty}{}{}%
+\appdef\rtx@require@packages{%
+ \RequirePackage{revsymb4-1}%
 }%
-\AtEndOfClass{%
- \@ifxundefined\secnumarabic@sw{\@booleanfalse\secnumarabic@sw}{}%
- \secnumarabic@sw{%
-  \def\p@section        {}%
-  \def\thesection       {\arabic{section}}%
-  \def\p@subsection     {}%
-  \def\thesubsection    {\thesection.\arabic{subsection}}%
-  \def\p@subsubsection  {}%
-  \def\thesubsubsection {\thesubsection.\arabic{subsubsection}}%
+\appdef\class@documenthook{\revsymb@inithook}%
+\def\@LN@LLerror@org{%
+ \PackageError{lineno}{%
+  \string\linelabel\space without \string\linenumbers
+ }{%
+  Just see documentation. (New feature v4.11)%
+ }%
+ \@gobble
+}%
+\def\@LN@LLerror@ltx{%
+ \PackageWarning{lineno}{%
+  To make the \string\linelabel\space command work, you must issue the \string\linenumbers\ command
+ }%
+ \@gobble
+}%
+\appdef\class@documenthook{%
+ \@ifx{\@LN@LLerror\@LN@LLerror@org}{%
+  \class@info{Overriding \string\@LN@LLerror}%
+  \let\@LN@LLerror\@LN@LLerror@ltx
+ }{}%
+ \@ifpackageloaded{lineno}{%
+  \@ifxundefined{\set@linepenalties}{}{%
+   \def\prep@absbox{\set@linepenalties}%
+   \def\post@absbox{\let\@LN@parpgbrk\@empty\@linenumberpar}%
+  }%
  }{}%
 }%
-\AtEndOfClass{%
- \appdef\class@documenthook{%
-  \defaults@hook
+\appdef\rtx@require@packages{%
+ \InputIfFileExists{\jobname.rty}{}{}%
+}%
+\@parse@class@options@society
+\@process@society{aps}%
+\@parse@class@options@\@journal
+\expandafter\@process@journal\expandafter{\@journal@default}%
+\@parse@class@options@\@pointsize
+\expandafter\@process@pointsize\expandafter{\@pointsize@default}%
+\@options
+\rtx@require@packages
+\setup@hook
+\def\rtx@fin@warn{%
+ \@ifnum{\rtx@fin@year>\the\year\relax}{\true@sw}{%
+  \@ifnum{\rtx@fin@month>\the\month\relax}{\true@sw}{%
+   \@ifnum{\rtx@fin@day>\the\day\relax}{\true@sw}{%
+    \false@sw
+   }%
+  }%
+ }%
+ {%
+  \class@info{Beta software expires \rtx@fin@year-\rtx@fin@month-\rtx@fin@day; updates available at http://publish.aps.org/revtex4/}%
+ }{%
+  \class@warn{Outdated software expired \rtx@fin@year-\rtx@fin@month-\rtx@fin@day; please retrieve an update at http://publish.aps.org/revtex4/}%
  }%
 }%
-\@ifxundefined\defaults@hook{\let\defaults@hook\@empty}{}%
 \endinput
 %%
-%% End of file `revtex4.cls'.
+%% End of file `revtex4-1.cls'.