[texhax] nyj (New York Journal) macros

Gerree Pecht gerree at Math.Princeton.EDU
Thu Oct 27 18:53:09 CEST 2005


To Whom It May Concern:

Professor Pali of Princeton University submitted a paper to the
New York Journal which they are rejecting due to the fact that he
seems not to be using "their" macro package.  Unfortunately, he
typeset the paper BEFORE receiving their instructions/macros ...
the paper is typeset in French.  I have taken a look at his
preamble (macro package(s)) he is using ... I don't want to
destroy his input ... is there anyway we could "bundle" nyj's
macro package on top of the package Prof. Pali's is using?

I'm attaching all the files he has sent to me for your review and
perhaps suggestions on how to "convert" his input to that of
the nyj's style package(s) without too much effort or difficulty?

I believe they denied him publication unless he follows their
instructions/package.

Any suggestions/help TUG suppor/org can give him is greatly appreciated.

Thanking you all in advance on behalf of Prof. Pali ...

Please direct your response/help to Professor Pali at

npali at math.princeton.edu

Prof. Pali is a Visiting Fellow from France ...

Thanks!!!!


-- 

Gerree P. Pecht
Princeton University Mathematics Department
(609) 258-3011
-------------- next part --------------
% This is nyj.cls, the document class for latex2e publications in the
% New York Journal of Mathematics. It is a modified version of the AMS
% amsart class, prepared and maintained by Mark Steinberger. 
% It includes contributions by Phil Hirschhorn.
%
% If you like the style and want to use it for documents other than NYJM
% submissions, use the declaration \documentclass[np]{nyj}. The np option
% turns off the special handling features to make space for the logo, etc.
%
% The np option should definitely _not_ be used in papers being prepared
% for submission to the journal, as it will change all the pagebreaks.
%
% With the hyp option, this style may be used to create HyperTeX
% documents, adding automatic hypertext links and anchors to table of
% contents entries and sectional headings, as well as to \cite,
% \bibitem, \ref, and \label commands. It also enables authors to put
% their own links in via the new commands \href and \hlabel (for
% internal references), as well as \hyperlink for links to external
% resources. The syntax is:
%
%    \hlabel{label of "name" anchor}{text inside anchor}
%    \href{label of "name" anchor referenced}{text highlighted by link}
%
% In both of these cases, the # is inserted automatically by the macro.
% The syntax for \hyperlink is
%
%    \hyperlink{full URL for external reference}{text highlighted by link}
%
% You may use \hyperhash in the URL to insert a #.
%
% Warning: \label does not insert hypertext anchors in display mode: For
% some reason, "name" anchor \specials do not function in display mode
% unless the anchor surrounds a nonempty section of type. So you
% should use a construction like:
%
%              \label{foo}\hlabel{foo}{bar}
%
% in display mode, where "bar" is nonempty. Note that display mode
% includes environments like equation, eqnarray, align, etc.
%
% The hypertex macros are set up in such a way that if you omit "hyp"
% from your documentclass options, the hypertex macros will be
% nonfunctional, but will not cause error messages.
%
\NeedsTeXFormat{LaTeX2e}% LaTeX 2.09 can't be used (nor non-LaTeX)
[1994/12/01]% LaTeX date must December 1994 or later
\ProvidesClass{nyj}[1997/11/20]
\def\@tempa#1#2\@nil{\edef\@classname{#1}}
\expandafter\@tempa\@currnamestack{}{}{}\@nil
\ifx\@classname\@empty \edef\@classname{\@currname}\fi
\newcommand{\runhdfnt}{\itshape\bfseries\mathversion{bold}}
\newif\ifpub
\pubtrue
\newif\iffin
\newif\ifhyp
\newif\ifyandy
\DeclareOption{np}{\pubfalse}
\DeclareOption{production}{\fintrue}
\DeclareOption{hyp}{\hyptrue}
\DeclareOption{yandy}{\yandytrue}
\DeclareOption{dvips}{}
\DeclareOption{a4paper}{\paperheight 297mm\paperwidth 210mm
  \textheight 54.5pc }
\DeclareOption{letterpaper}{\paperheight 11in\paperwidth 8.5in }
\DeclareOption{landscape}{\@tempdima\paperheight
  \paperheight\paperwidth \paperwidth\@tempdima}
\DeclareOption{portrait}{}
\DeclareOption{oneside}{\@twosidefalse \@mparswitchfalse}
\DeclareOption{twoside}{\@twosidetrue  \@mparswitchtrue}
\DeclareOption{draft}{\overfullrule5\p@ }
\DeclareOption{final}{\overfullrule\z@ }
\def\dateposted#1{\def\@dateposted{\ (#1)}}%
\let\@dateposted\@empty
\DeclareOption{e-only}{%
  \def\volinfo{Volume \currentvolume}%
  \dateposted{Xxxx XX, XXXX}%
}
\newif\if at titlepage
\DeclareOption{titlepage}{\@titlepagetrue}
\DeclareOption{notitlepage}{\@titlepagefalse}
\newif\if at openright
\DeclareOption{openright}{\@openrighttrue}
\DeclareOption{openany}{\@openrightfalse}
\DeclareOption{onecolumn}{\@twocolumnfalse}
\DeclareOption{twocolumn}{\@twocolumntrue}
\DeclareOption{nomath}{}
\DeclareOption{noamsfonts}{}
\DeclareOption{psamsfonts}{%
  \PassOptionsToPackage{psamsfonts}{amsfonts}%
  \PassOptionsToPackage{cmex10}{amsmath}}
\newif\iftagsleft@
\DeclareOption{leqno}{%
  \tagsleft at true \PassOptionsToPackage{leqno}{amsmath}}
\DeclareOption{reqno}{%
  \tagsleft at false \PassOptionsToPackage{reqno}{amsmath}}
\newif\ifctagsplit@
\DeclareOption{centertags}{%
  \ctagsplit at true \PassOptionsToPackage{centertags}{amsmath}}
\DeclareOption{tbtags}{%
  \ctagsplit at false \PassOptionsToPackage{tbtags}{amsmath}}
\DeclareOption{fleqn}{%
  \def\[{\relax
    \ifmmode\@badmath
    \else
      \begin{trivlist}%
      \@beginparpenalty\predisplaypenalty
      \@endparpenalty\postdisplaypenalty
      \item[]\leavevmode
      \hbox to\linewidth\bgroup$\displaystyle
      \hskip\mathindent\bgroup
    \fi}%
  \def\]{\relax
    \ifmmode
      \egroup \m at th$\hfil \egroup
      \end{trivlist}%
    \else \@badmath
    \fi}%
  \renewenvironment{equation}{%
    \@beginparpenalty\predisplaypenalty
    \@endparpenalty\postdisplaypenalty
    \refstepcounter{equation}%
    \@topsep\abovedisplayskip \trivlist
    \item[]\leavevmode
    \hbox to\linewidth\bgroup\hskip\mathindent$\displaystyle
  }{%
    \m at th$\hfil \displaywidth\linewidth \hbox{\@eqnnum}\egroup
    \endtrivlist
  }%
  \renewenvironment{eqnarray}{%
    \stepcounter{equation}\let\@currentlabel\theequation
    \global\@eqnswtrue \global\@eqcnt\z@ \tabskip\mathindent
    \let\\=\@eqncr \abovedisplayskip\topsep
    \ifvmode \advance\abovedisplayskip\partopsep \fi
    \belowdisplayskip\abovedisplayskip
    \belowdisplayshortskip\abovedisplayskip
    \abovedisplayshortskip\abovedisplayskip
    $$\everycr{}\halign to\linewidth\bgroup
      \hskip\@centering
      $\displaystyle\tabskip\z at skip####\m at th$&%
      \@eqnsel \global\@eqcnt\@ne
      \hfil${}####{}\m at th$\hfil&%
      \global\@eqcnt\tw@
      $\displaystyle ####\m at th$\hfil\tabskip\@centering&%
      \global\@eqcnt\thr@@
      \hbox to \z@\bgroup\hss####\egroup\tabskip\z at skip\cr
    }{%
      \@@eqncr \egroup \global\advance\c at equation\m at ne$$%
      \global\@ignoretrue
    }%
  \newdimen\mathindent \mathindent\leftmargini
}
\newcommand{\@mainsize}{10}
\newcommand{\@ptsize}{0}
\newcommand{\larger}[1][1]{%
  \count@\@currsizeindex \advance\count@#1\relax
  \ifnum\count@<\z@ \count@\z@ \else\ifnum\count@>12 \count at 12 \fi\fi
  \ifcase\count@
    \Tiny\or\Tiny\or\tiny\or\SMALL\or\Small\or\small
    \or\normalsize
    \or\large\or\Large\or\LARGE\or\huge\or\Huge\else\Huge
  \fi
}
\newcommand{\smaller}[1][1]{\larger[-#1]}
\def\@adjustvertspacing{%
  \bigskipamount.7\baselineskip plus.7\baselineskip
  \medskipamount\bigskipamount \divide\medskipamount\tw@
  \smallskipamount\medskipamount \divide\smallskipamount\tw@
  \abovedisplayskip\medskipamount
  \belowdisplayskip \abovedisplayskip
  \abovedisplayshortskip\abovedisplayskip
  \advance\abovedisplayshortskip-1\abovedisplayskip
  \belowdisplayshortskip\abovedisplayshortskip
  \advance\belowdisplayshortskip 1\smallskipamount
  \jot\baselineskip \divide\jot 4 \relax
}
\renewcommand\normalsize{\@xsetfontsize\normalsize 6%
  \@adjustvertspacing \let\@listi\@listI}
\newcommand\Tiny{\@xsetfontsize\Tiny 1}
\newcommand\tiny{\@xsetfontsize\tiny 2}
\newcommand\SMALL{\@xsetfontsize\SMALL 3}
\newcommand\Small{\@xsetfontsize\Small 4%
  \@adjustvertspacing
  \def\@listi{\topsep\smallskipamount \parsep\z at skip \itemsep\z at skip}}
\newcommand\small{\@xsetfontsize\small 5\@adjustvertspacing}
\def\footnotesize{\Small}
\def\scriptsize{\SMALL}
\newcommand\large{\@xsetfontsize\large 7\@adjustvertspacing}
\newcommand\Large{\@xsetfontsize\Large 8\@adjustvertspacing}
\newcommand\LARGE{\@xsetfontsize\LARGE 9}
\newcommand\huge{\@xsetfontsize\huge{10}}
\newcommand\Huge{\@xsetfontsize\Huge{11}}
\def\@xsetfontsize#1#2{%
  \chardef\@currsizeindex#2\relax
  \edef\@tempa{\@nx\@setfontsize\@nx#1%
    \@xp\ifcase\@xp\@currsizeindex\@typesizes
      \else{99}{99}\fi}%
  \@tempa
}
\chardef\@currsizeindex=6
\widowpenalty=10000
\clubpenalty=10000
\brokenpenalty=10000
\newdimen\linespacing
\lineskip=1pt \lineskiplimit=1pt
\normallineskip=1pt \normallineskiplimit=1pt
\let\baselinestretch=\@empty
\headheight=10pt \headsep=16pt
\footskip=24pt
\textheight=50pc \topskip=10pt
\textwidth=30pc
\columnsep=10pt \columnseprule=0pt
\marginparwidth=90pt
\marginparsep=11pt
\marginparpush=5pt
\AtBeginDocument{\settoheight{\footnotesep}{\footnotesize M$^1$}}
\skip\footins=7pt plus11pt
\skip\@mpfootins=\skip\footins
\fboxsep=3pt \fboxrule=.4pt
\arrayrulewidth=.4pt    \doublerulesep=2pt
\labelsep=5pt           \arraycolsep=\labelsep
\tabcolsep=\labelsep    \tabbingsep=\labelsep
\floatsep=15pt plus 12pt    \dblfloatsep=15pt plus 12pt
\textfloatsep=\floatsep  \dbltextfloatsep=15pt plus 12pt
\intextsep=\floatsep
\@fptop=0pt plus1fil     \@dblfptop=0pt plus1fil
\@fpbot=0pt plus1fil     \@dblfpbot=0pt plus1fil
\@fpsep=8pt plus2fil     \@dblfpsep=8pt plus2fil\relax
\parskip=0pt \relax
\newdimen\normalparindent
\normalparindent=12pt
\parindent=\normalparindent
\partopsep=0pt \relax \parsep=0pt \relax \itemsep=0pt \relax
\@lowpenalty=51         \@medpenalty=151        \@highpenalty=301
\@beginparpenalty=-\@lowpenalty
\@endparpenalty=-\@lowpenalty
\@itempenalty=-\@lowpenalty
\DeclareOption{10pt}{\def\@mainsize{10}\def\@ptsize{0}%
  \def\@typesizes{%
    \or{5}{6}\or{6}{7}\or{7}{8}\or{8}{10}\or{9}{11}%
    \or{10}{12}% normalsize
    \or{\@xipt}{13}\or{\@xiipt}{14}\or{\@xivpt}{17}%
    \or{\@xviipt}{20}\or{\@xxpt}{24}}%
  \normalsize \linespacing=\baselineskip
}
\DeclareOption{11pt}{\def\@mainsize{11}\def\@ptsize{1}%
  \def\@typesizes{%
    \or{6}{7}\or{7}{8}\or{8}{10}\or{9}{11}\or{10}{12}%
    \or{\@xipt}{13}% normalsize
    \or{\@xiipt}{14}\or{\@xivpt}{17}\or{\@xviipt}{20}%
    \or{\@xxpt}{24}\or{\@xxvpt}{30}}%
  \normalsize \linespacing=\baselineskip
}
\DeclareOption{12pt}{\def\@mainsize{12}\def\@ptsize{2}%
  \def\@typesizes{%
    \or{7}{8}\or{8}{10}\or{9}{11}\or{10}{12}\or{\@xipt}{13}%
    \or{\@xiipt}{14}% normalsize
    \or{\@xivpt}{17}\or{\@xviipt}{20}\or{\@xxpt}{24}%
    \or{\@xxvpt}{30}\or{\@xxvpt}{30}}%
  \normalsize \linespacing=\baselineskip
}
\DeclareOption{8pt}{\def\@mainsize{8}\def\@ptsize{8}%
  \def\@typesizes{%
    \or{5}{6}\or{5}{6}\or{5}{6}\or{6}{7}\or{7}{8}%
    \or{8}{10}% normalsize
    \or{9}{11}\or{10}{12}\or{\@xipt}{13}%
    \or{\@xiipt}{14}\or{\@xivpt}{17}}%
  \normalsize \linespacing=\baselineskip
}
\DeclareOption{9pt}{\def\@mainsize{9}\def\@ptsize{9}%
  \def\@typesizes{%
    \or{5}{6}\or{5}{6}\or{6}{7}\or{7}{8}\or{8}{10}%
    \or{9}{11}% normalsize
    \or{10}{12}\or{\@xipt}{13}\or{\@xiipt}{14}%
    \or{\@xivpt}{17}\or{\@xviipt}{20}}%
  \normalsize \linespacing=\baselineskip
}
\def\ps at empty{\let\@mkboth\@gobbletwo
  \def\@oddhead{\hyper at anchor{page.\thepage}{}} \let\@evenhead\@oddhead
  \let\@oddfoot\@empty \let\@evenfoot\@empty
  \global\topskip\normaltopskip}
\def\ps at plain{\ps at empty
  \def\@oddfoot{\normalfont \hfil\thepage\hfil}% removed \scriptsize
  \let\@evenfoot\@oddfoot}
\def\ps at headings{\ps at empty
  \def\@evenhead{\normalfont\normalsize
\rlap{\hyper at anchor{page.\thepage}\thepage}\hfil \runhdfnt\leftmark{}{}\hfil}%
  \def\@oddhead{\normalsize\runhdfnt \hfil
 \rightmark{}{}\hfil \normalfont\llap{\hyper at anchor{page.\thepage}\thepage}}%
  \let\@mkboth\markboth
}
\let\sectionname\@empty
\let\subsectionname\@empty
\let\subsubsectionname\@empty
\let\paragraphname\@empty
\let\subparagraphname\@empty
\def\leftmark{\expandafter\@firstoftwo\topmark{}{}}
\def\rightmark{\expandafter\@secondoftwo\botmark{}{}}
\def\ps at firstpage{\ps at plain}
%  \def\@oddfoot{\normalfont \hfil\thepage\hfil % removed \scriptsize
%     \global\topskip\normaltopskip}%
%  \let\@evenfoot\@oddfoot
%  \def\@oddhead{\@serieslogo\hss}%
%  \let\@evenhead\@oddhead % in case an article starts on a left-hand page
%}
\long\def\@nilgobble#1\@nil{}
\def\markboth#1#2{%
  \begingroup
    \@temptokena{{#1}{#2}}\xdef\@themark{\the\@temptokena}%
    \mark{\the\@temptokena}%
  \endgroup
  \if at nobreak\ifvmode\nobreak\fi\fi}
\def\ps at myheadings{\ps at headings \let\@mkboth\@gobbletwo}
\newskip\normaltopskip
\normaltopskip=10pt \relax
\let\sectionmark\@gobble
\let\subsectionmark\@gobble
\let\subsubsectionmark\@gobble
\let\paragraphmark\@gobble

\DeclareOption{makeidx}{}
\input{amsgen.sty}
\ExecuteOptions{leqno,centertags,letterpaper,portrait,%
  10pt,twoside,onecolumn,final}
\ProcessOptions\relax
\if at compatibility
  \def\@tempa{\RequirePackage{amstex}\relax}
\else
  \@ifclasswith{\@classname}{nomath}{%
    \let\@tempa\relax
  }{%
    \def\@tempa{\RequirePackage{amsmath}\relax}%
  }%
\fi
\@tempa % load amstex.sty or amsmath.sty
\providecommand\numberwithin[2]{%
  \@ifundefined{c@#1}{\@nocounterr{#1}}{%
    \@ifundefined{c@#2}{\@nocounterr{#2}}{%
    \@addtoreset{#1}{#2}%
    \toks@\@xp\@xp\@xp{\csname the#1\endcsname}%
    \@xp\xdef\csname the#1\endcsname
      {\@xp\@nx\csname the#2\endcsname
       .\the\toks@}}}}
\if at compatibility
\else
  \@ifclasswith{\@classname}{noamsfonts}{%
    % amsfonts package is not wanted
  }{%
    % amsfonts package IS wanted; test whether a recent enough version
    % seems to be installed
    \begingroup \fontencoding{U}\fontfamily{msa}\try at load@fontshape\endgroup
    \global\@xp\let\csname U+msa\endcsname\relax % reset
    \@ifundefined{U/msa/m/n}{%
      \ClassError{\@classname}{%
  Package `amsfonts' not installed, or version too old?\MessageBreak
  Unable to get font info for the `msam' fonts in the expected form%
      }{%
  The amsfonts package will not be loaded, to avoid probable\MessageBreak
  incompatibility problems. You can (a) use the `noamsfonts'
      documentclass\MessageBreak
  option next time, or (b) check that the amsfonts package is
      installed\MessageBreak
  correctly, and is not too old to be compatible.%
      }%
    }{%
      \RequirePackage{amsfonts}[1995/01/01]\relax
    }%
  }
\fi % end yesamsfonts branch
\ifhyp  %%%%%%%%%%%%%%%%%%%%%% If using hypertex macros
\newcommand{\hyper at quote}{\string"}
\edef\hyper at hash{\string#}
\edef\hyperhash{\string#}
\newcommand{\hyper at link}[2]{%
\special{html:<a href=\hyper at quote#1\hyper at quote>}#2\special{html:</a>}}
\newcommand{\hyper at anchor}[1]{%
\special{html:<a name=\hyper at quote#1\hyper at quote>}\special{html:</a>}}
\newcommand{\anchor at ref}[2]{\hyper at link{\hyper at hash#1}{\mbox{#2}}}
\newcommand{\anchor at longref}[2]{\hyper at link{\hyper at hash#1}{#2}}
\else  %%%%%%%%%%%%%%%%%%%%%%% If not using hypertex macros
\newcommand{\hyper at link}[2]{#2}
\edef\hyperhash{}
\newcommand{\hyper at anchor}[1]{}
\newcommand{\anchor at ref}[2]{\mbox{#2}}
\newcommand{\anchor at longref}[2]{#2}
\fi    %%%%%%%%%%%%%%%%%%%%%%% End of conditional for for hypertex
\ifyandy
\def\bluetext#1{\special{color push}\special{color rgb 0 0 1}#1\special{color pop}}
\newcount\height
\newcount\width
\long\def\anchor at ref#1#2{\leavevmode\setbox0\hbox{#2}\height=\ht0\width=\wd0%
\special{button: \the\width\space \the\height\space #1}\bluetext{\box0}}
\long\def\anchor at longref#1#2{\leavevmode\setbox0\hbox{#2}\height=\ht0\width=\wd0%
\special{button: \the\width\space \the\height\space #1}\bluetext{\unhbox0}}
\def\hyper at anchor#1{\special{mark: #1}}
\def\hyper at link#1#2{\leavevmode\setbox0\hbox{#2}\height=\ht0\width=\wd0%
\special{button: \the\width\space \the\height\space #1}\bluetext{\unhbox0}}
\fi   %%%%%%%%%%%%%%%%%%%% End of conditional for yandy

\newcommand{\bib at link}[2]{\anchor at ref{bibcite#1}{#2}}
\newcommand{\bib at anchor}[1]{\hyper at anchor{bibcite#1}}
\newcommand{\hyperlink}[2]{\hyper at link{#1}{#2}}
\newcommand{\hlabel}[1]{\hyper at anchor{#1}}
\newcommand{\shlabel}[1]{\hyper at anchor{#1}{#1}}
\newcommand{\href}[2]{\anchor at ref{#1}{#2}}
\newcommand{\shref}[1]{\anchor at ref{#1}{#1}}
\newcommand{\shyperlink}[1]{\hyper at link{#1}{#1}}
%%@ Here are hypertex versions of various macros defined in the format
\def\@citex[#1]#2{%
  \let\@citea\@empty
  \@cite{\@for\@citeb:=#2\do
    {\@citea\def\@citea{,\penalty\@m\ }%
     \edef\@citeb{\expandafter\@iden\@citeb}%
     \if at filesw\immediate\write\@auxout{\string\citation{\@citeb}}\fi
     \@ifundefined{b@\@citeb}{{\reset at font\bfseries ?}%
       \G at refundefinedtrue\@latex at warning
       {Citation `\@citeb' on page \thepage \space undefined}}%
     {\hbox{\bib at link{\@citeb}{\csname b@\@citeb\endcsname}}}}}{#1}}

\def\@bibitem#1{\item\if at filesw \immediate\write\@auxout
       {\string\bibcite{#1}{\the\value{\@listctr}}}\fi%
     \hyper at anchor{bibcite#1}\ignorespaces}

\def\@lbibitem[#1]#2{\item[\@biblabel{\bib at anchor{#2}#1}\hfill]\if at filesw
      {\let\protect\noexpand
       \immediate
       \write\@auxout{\string\bibcite{#2}{#1}}}\fi\ignorespaces}

%\def\@setref#1#2#3{\ifx#1\relax
%    \protect\@noref{#3}%
%  \else
%    \anchor at ref{#3}{\protect\textup{\expandafter#2#1\hbox{}}}%
%  \fi}
\newcommand{\@noref}[1]{%
  \G at refundefinedtrue
  \nfss at text{\reset at font\bfseries ??}%
  \@latex at warning{Reference `#1' on page \thepage\space undefined}%
}

\def\old at setref#1#2#3{\ifx#1\relax
    \protect\@noref{#3}%
  \else
    \protect\textup{\expandafter#2#1\hbox{}}%
  \fi}

\def\page at setref#1#2#3{\ifx#1\relax
    \protect\@noref{#3}%
  \else
   \anchor at ref{page\expandafter#2#1}{\protect\textup{\expandafter#2#1\hbox{}}}%
  \fi}

\def\sectionlabel#1{\@bsphack
  \protected at write\@auxout{}%
         {\string\newlabel{#1}{{\@currentlabel}{\thepage}}}%
  \protected at write\@auxout{}%
         {\string\newlabel{sectionlabel@#1}{sectunit\thetoclink}}%
  \@esphack\hyper at anchor{#1}}
\def\@setref#1#2#3{\ifx#1\relax
    \protect\@noref{#3}%
  \else
  \@ifundefined{r at sectionlabel@#3}{\anchor at ref{#3}}{\anchor at ref{\csname r at sectionlabel@#3\endcsname}}%
  {\protect\textup{\expandafter#2#1\hbox{}}}%
  \fi}



\def\label#1{\@bsphack
  \protected at write\@auxout{}%
         {\string\newlabel{#1}{{\@currentlabel}{\thepage}}}%
  \@esphack\hyper at anchor{#1}}
  

\def\oldpageref#1{\expandafter\old at setref\csname r@#1\endcsname
                                   \@secondoftwo{#1}}


\def\pageref#1{\expandafter\page at setref\csname r@#1\endcsname
                                   \@secondoftwo{#1}}

\newcounter{totfootns}

\def\footnote{\stepcounter{totfootns}\@ifnextchar[\@xfootnote{\stepcounter\@mpfn
     \protected at xdef\@thefnmark{\thempfn}%
     \h at footnotemark\h at footnotetext}}

\def\@xfootnote[#1]{%
   \begingroup 
     \csname c@\@mpfn\endcsname #1\relax
     \unrestored at protected@xdef\@thefnmark{\thempfn}%
   \endgroup
   \h at footnotemark\@hfootnotetext}

\long\def\h at footnotetext#1{\insert\footins{%
  \normalfont\footnotesize
  \interlinepenalty\interfootnotelinepenalty
  \splittopskip\footnotesep \splitmaxdepth \dp\strutbox
  \floatingpenalty\@MM \hsize\columnwidth
  \@parboxrestore \parindent\normalparindent \sloppy
  \edef\@currentlabel{\p at footnote\@thefnmark}%
  \@makefntext{\rule\z@\footnotesep\ignorespaces%
\hyper at anchor{footnote\thetotfootns}#1\unskip\strut\par}}}

\def\h at footnotemark{%
  \leavevmode
  \ifhmode\edef\@x at sf{\the\spacefactor}\nobreak\fi
  \anchor at ref{footnote\thetotfootns}{\@makefnmark}
  \ifhmode\spacefactor\@x at sf\fi
  \relax}

%% End of redefinitions for hypertex

\newcommand{\uppercasenonmath}[1]{\toks@\@emptytoks
  \@xp\@skipmath\@xp\@empty#1$$%
  \edef#1{\@nx\@upprep\the\toks@}%
}
\newcommand{\@upprep}{%
  \spaceskip1.3\fontdimen2\font plus1.3\fontdimen3\font
  \upchars@}
\newcommand{\upchars@}{%
  \def\ss{SS}\def\i{I}\def\j{J}\def\ae{\AE}\def\oe{\OE}%
  \def\o{\O}\def\aa{\AA}\def\l{\L}\def\Mc{M{\scshape c}}}
\newcommand{\@skipmath}{}
\long\def\@skipmath#1$#2${%
  \@xskipmath#1\(\)%
  \@ifnotempty{#2}{\toks@\@xp{\the\toks@$#2$}\@skipmath\@empty}}%
\newcommand{\@xskipmath}{}
\long\def\@xskipmath#1\(#2\){%
  \uppercase{\toks@\@xp\@xp\@xp{\@xp\the\@xp\toks@#1}}%
  \@ifnotempty{#2}{\toks@\@xp{\the\toks@\(#2\)}\@xskipmath\@empty}}%
\newcommand{\today}{%
  \relax\ifcase\month\or
  January\or February\or March\or April\or May\or June\or
  July\or August\or September\or October\or November\or December\fi
  \space\number\day, \number\year}
\DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm}
\DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf}
\DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt}
\DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf}
\DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit}
\DeclareOldFontCommand{\sl}{\normalfont\slshape}{\@nomath\sl}
\DeclareOldFontCommand{\sc}{\normalfont\scshape}{\@nomath\sc}
\renewcommand*{\title}[2][]{\gdef\shorttitle{#1}\gdef\@title{#2}}
\edef\title{\@nx\@dblarg
  \@xp\@nx\csname\string\title\endcsname}
\renewcommand{\author}[2][]{%
  \ifx\@empty\authors
    \gdef\shortauthors{#1}\gdef\authors{#2}%
  \else
    \g at addto@macro\shortauthors{\and#1}%
    \g at addto@macro\authors{\and#2}%
    \g at addto@macro\addresses{\author{}}%
  \fi
}
\newcommand{\papnum}[1]{\def\papnumber{#1}}
\edef\author{\@nx\@dblarg
  \@xp\@nx\csname\string\author\endcsname}
\let\shortauthors\@empty   \let\authors\@empty
\let\addresses\@empty      \let\thankses\@empty \let\papernum\@empty
\newcommand{\address}[2][]{\g at addto@macro\addresses{\address{#1}{#2}}}
\newcommand{\curraddr}[2][]{\g at addto@macro\addresses{\curraddr{#1}{#2}}}
\newcommand{\email}[2][]{\g at addto@macro\addresses{\email{#1}{#2}}}
\newcommand{\urladdr}[2][]{\g at addto@macro\addresses{\urladdr{#1}{#2}}}
\renewcommand{\thanks}[1]{\g at addto@macro\thankses{\thanks{#1}}}
\def\enddoc at text{\ifx\@empty\@translators \else\@settranslators\fi
  \ifx\@empty\addresses \else\@setaddresses\fi \iffin\@setpaphomepage\fi
\iffin\label{finalpage}\fi}
\AtEndDocument{\enddoc at text}
\def\@setaddresses{\par
  \nobreak \begingroup
\footnotesize
  \def\author##1{\nobreak\addvspace\bigskipamount}%
  \def\\{\unskip, \ignorespaces}%
  \interlinepenalty\@M
  \def\address##1##2{\begingroup
    \par\addvspace\bigskipamount\indent
    \@ifnotempty{##1}{(\ignorespaces##1\unskip) }%
    {\scshape\ignorespaces##2}\par\endgroup}%
  \def\curraddr##1##2{\begingroup
    \@ifnotempty{##2}{\nobreak\indent{\itshape Current address}%
      \@ifnotempty{##1}{, \ignorespaces##1\unskip}\/:\space
      ##2\par\endgroup}}%
  \def\email##1##2{\begingroup
    \@ifnotempty{##2}{\nobreak\indent%{\itshape E-mail address}%
      \@ifnotempty{##1}{\ignorespaces##1\unskip\/:\space}%
      ##2\par\endgroup}}%
  \def\urladdr##1##2{\begingroup
    \@ifnotempty{##2}{\nobreak\indent%{\itshape URL}%
      \@ifnotempty{##1}{\ignorespaces##1\unskip\/:\space}%
      \url{##2}\par\endgroup}}%
  \addresses
  \endgroup
}
\let\@date\@empty
\newcommand\recdate[1]{\gdef\@recdate{#1}}
\let\@recdate\@empty
\def\dedicatory#1{\def\@dedicatory{#1}}
\let\@dedicatory=\@empty
\def\keywords#1{\def\@keywords{#1}}
\let\@keywords=\@empty
\def\subjclass#1{\def\@subjclass{#1}}
\let\@subjclass=\@empty
\def\commby#1{\def\@commby{(Communicated by #1)}}
\let\@commby=\@empty
\def\translator#1{%
  \ifx\@empty\@translators \def\@translators{#1}%
  \else\g at addto@macro\@translators{\and#1}\fi}
\let\@translators=\@empty
\def\@settranslators{\par\begingroup
  \addvspace{6\p@\@plus9\p@}%
  \hbox to\columnwidth{\hss\normalfont\normalsize
    Translated by %
    \andify\@translators %\uppercasenonmath\@translators
    \@translators}
  \endgroup
}
\newcommand{\xandlist}[4]{\@andlista{{#1}{#2}{#3}}#4\and\and}
\def\@andlista#1#2\and#3\and{\@andlistc{#2}\@ifnotempty{#3}{%
  \@andlistb#1{#3}}}
\def\@andlistb#1#2#3#4#5\and{%
  \@ifempty{#5}{%
    \@andlistc{#2#4}%
  }{%
    \@andlistc{#1#4}\@andlistb{#1}{#3}{#3}{#5}%
  }}
\let\@andlistc\@iden
\newcommand{\nxandlist}[4]{%
  \def\@andlistc##1{\toks@\@xp{\the\toks@##1}}%
  \toks@{\toks@\@emptytoks \@andlista{{#1}{#2}{#3}}}%
  \the\@xp\toks@#4\and\and
  \edef#4{\the\toks@}%
  \let\@andlistc\@iden}
\newcommand{\andify}{%
  \nxandlist{\unskip, }{\unskip{} and~}{\unskip, and~}}
\def\and{\unskip{ }and \ignorespaces}
\def\maketitle{\par
  \@topnum\z@ % this prevents figures from falling at the top of page 1
  \ifx\@empty\shortauthors \let\shortauthors\shorttitle
  \else \andify\shortauthors \fi 
  \@maketitle at hook
  \begingroup
  \@maketitle
  \toks@\@xp{\shortauthors}\@temptokena\@xp{\shorttitle}%
  \edef\@tempa{\@nx\markboth{\the\toks@}{\the\@temptokena}}\@tempa
  \endgroup
  \thispagestyle{firstpage}% this sets first page specifications
  \c at footnote\z@
  \def\do##1{\let##1\relax}%
  \do\maketitle \do\@maketitle \do\title \do\@xtitle \do\@title
  \do\author \do\@xauthor \do\address \do\@xaddress
  \do\email \do\@xemail \do\curraddr \do\@xcurraddr
  \do\commby \do\@commby
  \do\dedicatory \do\@dedicatory \do\thanks \do\thankses
  \do\keywords \do\@keywords \do\subjclass \do\@subjclass
}
\def\@maketitle at hook{\global\let\@maketitle at hook\@empty}
\def\@setrecdate{\ifx\@empty\@recdate%
         \@footnotetext{\bfseries Please supply date!}
         \else\@footnotetext{Received \@recdate.}\fi}
\def\@maketitle{%
  \normalfont\normalsize
  \let\@makefnmark\relax  \let\@thefnmark\relax
  \ifpub\iffin\@setrecdate\else\@footnotetext{\phantom{Received}}\fi\fi
  \ifpub\else \ifx\@empty\@date\else \@footnotetext{\@setdate}\fi\fi
  \ifx\@empty\@subjclass\else \@footnotetext{\@setsubjclass}\fi
  \ifx\@empty\@keywords\else \@footnotetext{\@setkeywords}\fi
  \ifx\@empty\thankses\else \@footnotetext{%
    \def\par{\let\par\@par}\@setthanks}\fi
  \@mkboth{\@nx\shortauthors}{\@nx\shorttitle}%
  \global\topskip42\p@\relax % 5.5pc   "   "   "     "     "
  \@settitle
  \ifx\@empty\authors \else \@setauthors \fi
  \ifx\@empty\@dedicatory
  \else
    \baselineskip18\p@
    \vtop{\centering{\footnotesize\itshape\@dedicatory\@@par}%
      \global\dimen at i\prevdepth}\prevdepth\dimen at i
  \fi
  \@setabstract
  \normalsize
  \if at titlepage
    \newpage
  \else
    \dimen at 20\p@ \advance\dimen at -\baselineskip
    \vskip\dimen@ plus 14\p@\relax
  \fi
} % end \@maketitle
\@ifundefined{ISSN}{\def\ISSN{0000-0000}}{}
\newcommand\PII[1]{\def\@PII{#1}}
\PII{S \ISSN(XX)0000-0}
\newinsert\copyins
\skip\copyins=1.5pc
\count\copyins=1000 % magnification factor, 1000 = 100%
\dimen\copyins=.5\textheight % maximum allowed per page
\def\@combinefloats{%
  \ifx \@toplist\@empty \else \@cflt \fi
  \ifx \@botlist\@empty \else \@cflb \fi
  \ifvoid\copyins \else \@cflci \fi
}
\newcommand{\abstractname}{Abstract}
\newcommand{\keywordsname}{Key words and phrases}
\newcommand{\subjclassname}{Mathematics Subject
     Classification}
\def\@tempb{nyj}
\ifx\@classname\@tempb
  \newcommand{\datename}{Date}
\else
  \newcommand{\datename}{Received}
\fi
\def\@settitle{\begin{center}\LARGE\bfseries\mathversion{bold}\@title\end{center}}
\def\@setauthors{%
  \begingroup
  \trivlist
  \centering\footnotesize \@topsep28\p@\relax
  \advance\@topsep by -\baselineskip
  \item\relax
  \andify\authors \Large\bfseries
  \leavevmode\authors
  \endtrivlist
  \endgroup
}
\def\@setdate{\datename\ \@date\@addpunct.}
\def\@setsubjclass{%
  {\itshape\subjclassname.}\enspace\@subjclass\@addpunct.}
\def\@setkeywords{%
  {\itshape \keywordsname.}\enspace \@keywords\@addpunct.}
\def\@setthanks{\def\thanks##1{\par##1\@addpunct.}\thankses}
\newbox\abstractbox
\newenvironment{abstract}{%
  \ifx\maketitle\relax
    \ClassWarning{\@classname}{Abstract should precede
      \protect\maketitle\space in AMS documentclasses; reported}%
  \fi
  \global\setbox\abstractbox=\vtop \bgroup
  \normalfont\Small
  \Small
  \list{}{\labelwidth\z@
    \leftmargin3pc \rightmargin\leftmargin
    \listparindent\normalparindent \itemindent\z@
    \parsep\z@ \@plus\p@
    \let\fullwidthdisplay\relax
    }%
  \item[\hskip\labelsep\scshape\abstractname.]%
}{%
  \endlist\egroup
  \ifx\@setabstract\relax \@setabstracta \fi
}
\def\@setabstract{\@setabstracta \global\let\@setabstract\relax}
\def\@setabstracta{%
  \ifvoid\abstractbox
  \else
    \skip at 24\p@ plus 10\p@ \advance\skip at -\lastskip
    \advance\skip at -\baselineskip \vskip\skip@
    \box\abstractbox
    \prevdepth\z@ % because \abstractbox is a vtop
  \fi
}
\def\titlepage{%
  \clearpage
  \thispagestyle{empty}\setcounter{page}{0}}
\def\endtitlepage{\newpage}
\def\labelenumi{\theenumi.}
\def\theenumi{\@arabic\c at enumi}
\def\labelenumii{\theenumii)}
\def\theenumii{\@alph\c at enumii}
\def\p at enumii{\theenumi}
\def\labelenumiii{(\theenumiii)}
\def\theenumiii{\@roman\c at enumiii}
\def\p at enumiii{\theenumi(\theenumii)}
\def\labelenumiv{(\theenumiv)}
\def\theenumiv{\@Alph\c at enumiv}
\def\p at enumiv{\p at enumiii\theenumiii}
\def\labelitemi{$\m at th\bullet$}
\def\labelitemii{\bfseries --}% \upshape already done by \itemize
\def\labelitemiii{$\m at th\ast$}
\def\labelitemiv{$\m at th\cdot$}
\newenvironment{verse}{\let\\\@centercr
  \list{}{\itemsep\z@ \itemindent -1.5em\listparindent\itemindent
  \rightmargin\leftmargin \advance\leftmargin 1.5em}\item[]%
}{%
  \endlist
}
\let\endverse=\endlist % for efficiency
\newenvironment{quotation}{\list{}{%
    \leftmargin3pc \listparindent\normalparindent
    \itemindent\z@
    \rightmargin\leftmargin \parsep\z@ \@plus\p@}%
  \item[]%
}{%
  \endlist
}
\let\endquotation=\endlist % for efficiency
\newenvironment{quote}{%
  \list{}{\rightmargin\leftmargin}\item[]%
}{%
  \endlist
}
\let\endquote=\endlist % for efficiency
\def\trivlist{\parsep\parskip\@nmbrlistfalse
  \@trivlist \labelwidth\z@ \leftmargin\z@
  \itemindent\z@
  \let\@itemlabel\@empty
  \def\makelabel##1{\upshape##1}}
\renewenvironment{enumerate}{%
  \ifnum \@enumdepth >3 \@toodeep\else
      \advance\@enumdepth \@ne
      \edef\@enumctr{enum\romannumeral\the\@enumdepth}\list
      {\csname label\@enumctr\endcsname}{\usecounter
        {\@enumctr}\def\makelabel##1{\hss\llap{\upshape##1}}}\fi
}{%
  \endlist
}
\let\endenumerate=\endlist % for efficiency
\renewenvironment{itemize}{%
  \ifnum\@itemdepth>3 \@toodeep
  \else \advance\@itemdepth\@ne
    \edef\@itemitem{labelitem\romannumeral\the\@itemdepth}%
    \list{\csname\@itemitem\endcsname}%
      {\def\makelabel##1{\hss\llap{\upshape##1}}}%
  \fi
}{%
  \endlist
}
\let\enditemize=\endlist % for efficiency
\newcommand{\descriptionlabel}[1]{\hspace\labelsep \upshape\bfseries #1:}
\newenvironment{description}{\list{}{%
  \advance\leftmargini6\p@ \itemindent-12\p@
  \labelwidth\z@ \let\makelabel\descriptionlabel}%
}{
  \endlist
}
\let\enddescription=\endlist % for efficiency
\let\upn=\textup
\AtBeginDocument{%
  \settowidth\leftmargini{\labelenumi\hskip\labelsep}%
  \advance\leftmargini by \normalparindent
  \settowidth\leftmarginii{\labelenumii\hskip\labelsep}%
  \advance\leftmarginii by 6pt
  \settowidth\leftmarginiii{\labelenumiii\hskip\labelsep}%
  \advance\leftmarginiii by 6pt
  \settowidth\leftmarginiv{\labelenumiv\hskip\labelsep}%
  \advance\leftmarginiv by 10pt
  \leftmarginv=10pt
  \leftmarginvi=10pt
  \leftmargin=\leftmargini
  \labelsep=5pt
  \labelwidth=\leftmargini \advance\labelwidth-\labelsep
  \@listi}
\newskip\listisep
\listisep\smallskipamount
\def\@listI{\leftmargin\leftmargini \parsep\z at skip
  \topsep\listisep \itemsep\z at skip
  \listparindent\normalparindent}
\let\@listi\@listI
\def\@listii{\leftmargin\leftmarginii
  \labelwidth\leftmarginii \advance\labelwidth-\labelsep
  \topsep\z at skip \parsep\z at skip \partopsep\z at skip \itemsep\z at skip}
\def\@listiii{\leftmargin\leftmarginiii
  \labelwidth\leftmarginiii \advance\labelwidth-\labelsep}
\def\@listiv{\leftmargin\leftmarginiv
  \labelwidth\leftmarginiv \advance\labelwidth-\labelsep}
\def\@listv{\leftmargin\leftmarginv
  \labelwidth\leftmarginv \advance\labelwidth-\labelsep}
\def\@listvi{\leftmargin\leftmarginvi
  \labelwidth\leftmarginvi \advance\labelwidth-\labelsep}
\def\@startsection#1#2#3#4#5#6{%
 \if at noskipsec \leavevmode \fi
 \par \@tempskipa #4\relax
 \@afterindenttrue
 \ifdim \@tempskipa <\z@ \@tempskipa -\@tempskipa \@afterindentfalse\fi
 \if at nobreak \everypar{}\else
     \addpenalty\@secpenalty\addvspace\@tempskipa\fi
 \@ifstar{\@dblarg{\@sect{#1}{\@m}{#3}{#4}{#5}{#6}}}%
         {\@dblarg{\@sect{#1}{#2}{#3}{#4}{#5}{#6}}}%
}
\def\@secnumfont{\mdseries}
\setcounter{tocdepth}{2}
\newcounter{toclink}\setcounter{toclink}{\m at ne}
\def\@sect#1#2#3#4#5#6[#7]#8{\stepcounter{toclink}%
  \edef\@toclevel{\ifnum#2=\@m 0\else\number#2\fi}%
  \ifnum #2>\c at secnumdepth \let\@secnumber\@empty
  \else \@xp\let\@xp\@secnumber\csname the#1\endcsname\fi
 \ifnum #2>\c at secnumdepth
   \let\@svsec\@empty
 \else
    \refstepcounter{#1}%
    \edef\@svsec{\ifnum#2<\@m
       \@ifundefined{#1name}{}{%
         \ignorespaces\csname #1name\endcsname\space}\fi
       \@nx\textup{%
      \@nx\@secnumfont
         \csname the#1\endcsname.}\enspace
    }%
  \fi
  \@tempskipa #5\relax
  \ifdim \@tempskipa>\z@ % then this is not a run-in section heading
    \begingroup #6\relax\hyper at anchor{sectunit\thetoclink}%
    \@hangfrom{\hskip #3\relax\@svsec}{\interlinepenalty\@M #8\par}%
    \endgroup
    \ifnum#2>\@m \else \@tocwrite{#1}{\protect\anchor at longref{sectunit\thetoclink}{#7}}\fi
  \else
  \def\@svsechd{\hyper at anchor{sectunit\thetoclink}#6\hskip #3\@svsec
    \@ifnotempty{#8}{\ignorespaces#8\unskip
       \@addpunct.}%
        \ifnum#2>\c at tocdepth \else 
     \@tocwrite{#1}{\protect\anchor at longref{sectunit\thetoclink}{#7}}\fi
  }%
  \fi
  \global\@nobreaktrue
  \@xsect{#5}}
\let\@ssect\relax
\newcounter{part}
\newcounter{section}
\newcounter{subsection}[section]
\newcounter{subsubsection}[subsection]
\newcounter{paragraph}[subsubsection]
\renewcommand\thepart          {\Roman{part}}
\renewcommand\thesection       {\arabic{section}}
\renewcommand\thesubsection    {\thesection.\arabic{subsection}}
\renewcommand\thesubsubsection {\thesubsection .\arabic{subsubsection}}
\renewcommand\theparagraph     {\thesubsubsection.\arabic{paragraph}}
\setcounter{secnumdepth}{3}
\def\partname{Part}
\def\part{\@startsection{part}{0}%
  \z@{\linespacing\@plus\linespacing}{.5\linespacing}%
  {\normalfont\Large\bfseries\mathversion{bold}\centering}}
\def\specialsection{\@startsection{section}{1}%
  \z@{\linespacing\@plus\linespacing}{.5\linespacing}%
  {\normalfont\Large\bfseries\mathversion{bold}\raggedright}}
\def\section{\@startsection{section}{1}%
  \z@{.7\linespacing\@plus\linespacing}{.5\linespacing}%
  {\normalfont\Large\bfseries\mathversion{bold}\raggedright}}
\def\subsection{\@startsection{subsection}{2}%
  \z@{.5\linespacing\@plus.7\linespacing}{-.5em}%
  {\normalfont\bfseries\mathversion{bold}}}
\def\subsubsection{\@startsection{subsubsection}{3}%
  \z@{.5\linespacing\@plus.7\linespacing}{-.5em}%
  {\normalfont\scshape}}
\def\paragraph{\@startsection{paragraph}{4}%
  \z@\z@{-\fontdimen2\font}%
  {\normalfont\itshape}}
\def\subparagraph{\@startsection{subparagraph}{5}%
  \z@\z@{-\fontdimen2\font}%
  {\normalfont}}
\def\appendix{\par\c at section\z@ \c at subsection\z@
   \let\sectionname\appendixname
   \def\thesection{\@Alph\c at section}}
\def\appendixname{Appendix}
\def\@Roman#1{\@xp\@slowromancap
  \romannumeral#1@}%
\def\@slowromancap#1{\ifx @#1% then terminate
  \else
    \if i#1I\else\if v#1V\else\if x#1X\else\if l#1L\else\if
    c#1C\else\if m#1M\else#1\fi\fi\fi\fi\fi\fi
    \@xp\@slowromancap
  \fi
}
\newcommand{\@pnumwidth}{1.6em}
\newcommand{\@tocrmarg}{2.6em}
\setcounter{tocdepth}{2}
\def\@starttoc#1#2{\begingroup
  \par\removelastskip\vskip\z at skip
  \@startsection{}\@M\z@{\linespacing\@plus\linespacing}%
    {.5\linespacing}{\centering\scshape}{#2}%
  \ifx\contentsname#2%
  \else \addcontentsline{toc}{section}{#2}\fi
  \makeatletter
  \@input{\jobname.#1}%
  \if at filesw
    \@xp\newwrite\csname tf@#1\endcsname
    \immediate\@xp\openout\csname tf@#1\endcsname \jobname.#1\relax
  \fi
  \global\@nobreakfalse \endgroup
  \addvspace{20\p@\@plus14\p@}%
  \let\tableofcontents\relax
}
\def\contentsname{Contents}
\def\listfigurename{List of Figures}
\def\listtablename{List of Tables}
\def\tableofcontents{\@starttoc{toc}\contentsname}
\def\listoffigures{\@starttoc{lof}\listfigurename}
\def\listoftables{\@starttoc{lot}\listtablename}
\AtBeginDocument{%
  \@for\@tempa:=-1,0,1,2,3\do{%
    \@ifundefined{r at tocindent\@tempa}{%
      \@xp\gdef\csname r at tocindent\@tempa\endcsname{0pt}}{}%
  }%
}
\def\@writetocindents{%
  \begingroup
  \@for\@tempa:=-1,0,1,2,3\do{%
    \immediate\write\@auxout{%
      \string\newlabel{tocindent\@tempa}{%
        \csname r at tocindent\@tempa\endcsname}}%
  }%
  \endgroup}
\AtEndDocument{\@writetocindents}

\let\indentlabel\@empty
\def\@tochangmeasure#1{\sbox\z@{#1}%
  \ifdim\wd\z@>\csname r at tocindent\@toclevel\endcsname\relax
    \@xp\xdef\csname r at tocindent\@toclevel\endcsname{\the\wd\z@}%
  \fi
}
\def\@toclevel{0}
\def\@tocline#1#2#3#4#5#6#7{\relax
  \ifnum #1>\c at tocdepth % then omit
  \else
    \par \addpenalty\@secpenalty\addvspace{#2}%
    \begingroup \hyphenpenalty\@M
    \@ifempty{#4}{%
      \@tempdima\csname r at tocindent\number#1\endcsname\relax
    }{%
      \@tempdima#4\relax
    }%
    \parindent\z@ \leftskip#3\relax \advance\leftskip\@tempdima\relax
    \rightskip\@pnumwidth plus1em \parfillskip-\@pnumwidth
    #5\leavevmode\hskip-\@tempdima #6\relax
    \hfil\hbox to\@pnumwidth{\@tocpagenum{#7}}\par
    \nobreak
    \endgroup
  \fi}
\def\@tocpagenum#1{\hss{\mdseries #1}}
\def\@tocwrite#1{\@xp\@tocwriteb\csname toc#1\endcsname{#1}}
\def\@tocwriteb#1#2#3{%
  \begingroup
    \def\@tocline##1##2##3##4##5##6{%
      \ifnum##1>\c at tocdepth
      \else \sbox\z@{##5\let\indentlabel\@tochangmeasure##6}\fi}%
    \csname l@#2\endcsname{#1{\csname#2name\endcsname}{\@secnumber}{}}%
  \endgroup
  \addcontentsline{toc}{#2}%
    {\protect#1{\csname#2name\endcsname}{\@secnumber}{#3}}}
\def\l at section{\@tocline{1}{2pt}{1pc}{}{}}
\newcommand{\tocsection}[3]{%
  \indentlabel{\@ifnotempty{#2}{\ignorespaces#1 #2.\quad}}#3}
\def\l at subsection{\@tocline{2}{2pt}{3pc}{5pc}{}}
\let\tocsubsection\tocsection
\def\l at subsubsection{\@tocline{3}{2pt}{5pc}{7pc}{}}
\let\tocparagraph\tocsection
\let\tocsubsubsection\tocsection
\def\l at part{\@tocline{-1}{12pt plus2pt}{0pt}{}{\bfseries}}
\let\tocpart\tocsection
\def\l at chapter{\@tocline{0}{8pt plus1pt}{0pt}{}{}}
\let\tocchapter\tocsection
\let\tocappendix\tocchapter
\def\l at figure{\@tocline{0}{3pt plus2pt}{0pt}{}{}}
\let\l at table=\l at figure
\def\refname{References}
\def\bibname{Bibliography}
\def\bibliographystyle#1{%
   \if at filesw\immediate\write\@auxout
    {\string\bibstyle{#1}}\fi
        \def\@tempa{#1}%
        \def\@tempb{amsplain}%
        \def\@tempc{}%
        \ifx\@tempa\@tempb
                \def\@biblabel##1{##1.}%
                \def\bibsetup{}%
        \else
                \def\bibsetup{\labelsep6\p@}%
        \ifx\@tempa\@tempc
                \def\@biblabel##1{}%
                \def\bibsetup{\labelwidth\z@ \leftmargin24\p@
                \itemindent-24\p@
                          \labelsep\z@ }%
        \fi
\fi}
\newenvironment{thebibliography}[1]{%
  \@xp\section\@xp*\@xp{\refname}%
  \normalfont\footnotesize\labelsep .5em\relax
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%
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% 
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%
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\begin{footnotesize}\textit{% adresse nouvelle version
\textbf{Institut Fourier}\\
UMR 5582 CNRS-UJF\\
UFR de Math{\'e}matiques\\
Universit{\'e} de Grenoble I\\
 B.P. 74 \\
F-38402 St-Martin d'H{\`e}res Cedex}
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                        Berlin, New York}
\providecommand{\lnm}{~Lecture Notes in Math.~}
\providecommand{\cm}{~Compositio Math.}
\providecommand{\cmh}{~Comment. Math. Helv.}
\providecommand{\aif}{~Ann. Inst. Fourier (Grenoble)~}
\providecommand{\aom}{~Ann. of Math.}
\providecommand{\jmpa}{~J. Math. Pures Appl.}
\providecommand{\jfa}{~J. Funct. Anal.}
\providecommand{\cras}{~C. R. Acad. Sci.  Paris S\'er. I Math.}
\providecommand{\asens}{~Ann. Sci. \'Ecole Norm. Sup.}
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\providecommand{\inm}{~Invent. Math.}
\providecommand{\pspm}{~Proc. Sympos. Pure Math.}
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\providecommand{\cpde}{~Comm. Partial Differential Equations~}
\providecommand{\prsl}{~Proc. Roy. Soc. London Ser. A~}
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\providecommand{\pams}{~Proc. Amer. Math. Soc.}

 




%Alphabet rond``\cal"            %Alphabet double``\ Bbb"      

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\newcommand\dc{\mathcal{D}}      \newcommand\db{\mathbb{D}}         
\newcommand\ec{\mathcal{E}}      \newcommand\eb{\mathbb{E}}       
\newcommand\fc{\mathcal{F}}      \newcommand\fb{\mathbb{F}}         
\newcommand\gc{\mathcal{G}}      \newcommand\gb{\mathbb{G}}         
\newcommand\hc{\mathcal{H}}      \newcommand\hb{\mathbb{H}}         
\newcommand\ic{\mathcal{I}}      \newcommand\ib{\mathbb{I}}         
\newcommand\jc{\mathcal{J}}      \newcommand\jb{\mathbb{J}}        
\newcommand\kc{\mathcal{K}}      \newcommand\kb{\mathbb{K}}        
\newcommand\lc{\mathcal{L}}      \newcommand\lb{\mathbb{L}}         
\newcommand\mc{\mathcal{M}}      \newcommand\mb{\mathbb{M}}         
\newcommand\nc{\mathcal{N}}      \newcommand\nb{\mathbb{N}}         
\newcommand\oc{\mathcal{O}}      \newcommand\obb{\mathbb{O}}        
\newcommand\pcc{\mathcal{P}}     \newcommand\pb{\mathbb{P}}
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\newcommand\xc{\mathcal{X}}      \newcommand\xb{\mathbb{X}}
\newcommand\yc{\mathcal{Y}}      \newcommand\yb{\mathbb{Y}}
\newcommand\zc{\mathcal{Z}}      \newcommand\zb{\mathbb{Z}}




%Alphabet gras``\bf"  
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\newcommand\ddf{\mathbf{D}}
\newcommand\eef{\mathbf{E}}
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\newcommand\vvf{\mathbf{V}}
\newcommand\wwf{\mathbf{W}}
\newcommand\xxf{\mathbf{X}}
\newcommand\yyf{\mathbf{Y}}
\newcommand\zzf{\mathbf{Z}}


%Alphabet gothique ``\goth" MAJUSCULE   %Alphabet gothique ``\goth" minus
\newcommand\Ag{{\frak A}}                      \newcommand\ag{{\frak a}}
\newcommand\Bg{{\frak B}}                      \newcommand\bg{{\frak b}}
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\newcommand\Ngg{{\frak N}}                     \newcommand\ngg{{\frak n}}
\newcommand\Og{{\frak O}}                      \newcommand\og{{\frak o}}
\newcommand\Pg{{\frak P}}                      \newcommand\pg{{\frak p}}
\newcommand\Qg{{\frak Q}}                      \newcommand\qg{{\frak q}}
\newcommand\Rg{{\frak R}}                      \newcommand\rg{{\frak r}}
\newcommand\Sg{{\frak S}}                      \newcommand\sg{{\frak s}}
\newcommand\Tg{{\frak T}}                      \newcommand\tg{{\frak t}}
\newcommand\Ug{{\frak U}}                      \newcommand\ug{{\frak u}}                      
\newcommand\Vg{{\frak V}}                      \newcommand\vg{{\frak v}}
\newcommand\Wg{{\frak W}}                      \newcommand\wg{{\frak w}}
\newcommand\Xg{{\frak X}}                      \newcommand\xg{{\frak x}}
\newcommand\Yg{{\frak Y}}                      \newcommand\yg{{\frak y}}
\newcommand\Zg{{\frak Z}}                      \newcommand\zg{{\frak z}}



\newcommand{\clearemptydoublepage}{\newpage\thispagestyle{empty}\cleardoublepage}
\let\eightpoint\footnotesize
\let\ept\eightpoint

\if at anglais
% 
% Version coup{\'e}e
\theoremstyle{break}
\newtheorem{theoc}{Theorem}[section]
\newtheorem{propc}[theoc]{Proposition}
\newtheorem{coroc}[theoc]{Corollary}
\newtheorem{lemmc}[theoc]{Lemma}
\newtheorem{conjc}{Conjecture}
\newtheorem{quesc}{Question}
\newtheorem{defic}[theoc]{Definition}
\newenvironment{teoc}[1][\hskip-1ex]{\vskip\theorempreskipamount %
\reset at font{\scshape %
Theorem\hskip1ex#1.\newline}\slshape}{\vskip\theorempostskipamount}
% En anglais, utiliser plut{\^o}t thb ci-dessous
\newenvironment{democ}[1][\hskip-1ex]{\par\reset at font{\slshape %
    Proof\hskip1ex#1.\newline}}{\hfill\finpr\par}
\newenvironment{remac}[1][\hskip-1ex]{\par\reset at font{\slshape %
    Remarks\hskip1ex#1.\newline}}{\par} 
% Enfin, un environnement g{\'e}n{\'e}rique pour les autres th{\'e}or{\`e}mes ``{\`a} la
% main'' {\`a} utiliser de la fa{\c c}on suivante \begin{thb}{Main
% Theorem}blabla\end{thb} 
\newenvironment{thb}[1][!!!]{ %
\vskip\theorempreskipamount\noindent\hskip\parindent %
\reset at font{\scshape %
    #1.\newline}}{\vskip\theorempostskipamount} 
%
%  Version habituelle
%
\theoremstyle{plain}
\newtheorem{theo}[theoc]{Theorem}
\newtheorem{prop}[theoc]{Proposition}
\newtheorem{coro}[theoc]{Corollary}
\newtheorem{lemm}[theoc]{Lemma}
\newtheorem{conj}[conjc]{Conjecture}
\newtheorem{ques}[quesc]{Question}
\newtheorem{defi}[theoc]{Definition}
\newenvironment{teo}[1][\hskip-1ex]{\vskip\theorempreskipamount %
\reset at font{\scshape %
Theorem\hskip1ex#1\pointir}\slshape}{\vskip\theorempostskipamount}                               
\newenvironment{demo}[1][\hskip-1ex]{\par\reset at font{\slshape %
    Proof\hskip1ex#1\pointir}}{\hfill\finpr\par}
\newenvironment{rema}[1][\hskip-1ex]{\par\reset at font{\slshape %
    Remark\hskip1ex#1\pointir}}{\vskip\theorempostskipamount} 
%
% La version non coup{\'e}e de 'thb'
%
\newenvironment{tha}[1][!!!]{ %
\vskip\theorempreskipamount\noindent\hskip\parindent %
\reset at font{\scshape %
    #1\pointir}}{\vskip\theorempostskipamount} 

\else % fran{\c c}ais

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Les th{\'e}or{\`e}mes, et analogues
% le style a {\'e}t{\'e} d{\'e}fini dans if.sty, ils ne sont pas pr{\'e}cis{\'e}s ici pour
% des raisons de portabilit{\'e}. Pour une utilisation non conjugu{\'e}e avec
% iffra.sty, il vaut mieux employer \usepackage{theorem} dans le document.
% 
% Version coup{\'e}e
\theoremstyle{break}
\newtheorem{theoc}{Th{\'e}or{\`e}me}[section]
\newtheorem{propc}[theoc]{Proposition}
\newtheorem{coroc}[theoc]{Corollaire}
\newtheorem{lemmc}[theoc]{Lemme}
\newtheorem{conjc}{Conjecture}
\newtheorem{quesc}{Question}
\newtheorem{defic}[theoc]{D{\'e}finition}
\newenvironment{teoc}[1][\hskip-1ex]{\vskip\theorempreskipamount %
\reset at font{\scshape %
Th{\'e}or{\`e}me\hskip1ex#1.\newline}\slshape}{\vskip\theorempostskipamount}                               
\newenvironment{democ}[1][\hskip-1ex]{\par\reset at font{\slshape %
    D{\'e}monstration\hskip1ex#1.\newline}}{\hfill\finpr\par}
\newenvironment{remac}[1][\hskip-1ex]{\par\reset at font{\slshape %
    Remarques\hskip1ex#1.\newline}}{\par} 

%  Version habituelle
%
\theoremstyle{plain}
\newtheorem{theo}[theoc]{Th{\'e}or{\`e}me}
\newtheorem{prop}[theoc]{Proposition}
\newtheorem{coro}[theoc]{Corollaire}
\newtheorem{lemm}[theoc]{Lemme}
\newtheorem{conj}[conjc]{Conjecture}
\newtheorem{ques}[quesc]{Question}
\newtheorem{defi}[theoc]{D{\'e}finition}
\newenvironment{teo}[1][\hskip-1ex]{\vskip\theorempreskipamount %
\reset at font{\scshape %
Th{\'e}or{\`e}me\hskip1ex#1\pointir}\slshape}{\vskip\theorempostskipamount}                               
\newenvironment{demo}[1][\hskip-1ex]{\par\reset at font{\slshape %
    D{\'e}monstration\hskip1ex#1\pointir}}{\hfill\finpr\par}
\newenvironment{rema}[1][\hskip-1ex]{\par\reset at font{\slshape %
    Remarque\hskip1ex#1\pointir}}{\vskip\theorempostskipamount} 
% Enfin, un environnement g{\'e}n{\'e}rique pour les autres th{\'e}or{\`e}mes ``{\`a} la
% main'' {\`a} utiliser de la fa{\c c}on suivante \begin{tha}{Main
% Theorem}blabla\end{tha} 
\newenvironment{tha}[1][!!!]{% %
\vskip\theorempreskipamount\noindent\hskip\parindent %
\reset at font{\scshape %
    #1\pointir}\slshape}{\vskip\theorempostskipamount} 
\newenvironment{thb}[1][!!!]{%\noindent
\vskip\theorempreskipamount\noindent\hskip\parindent %
\reset at font{\scshape %
    #1.\newline}\slshape}{\vskip\theorempostskipamount} 
\fi

\let\paragraphc\paragraph
\let\subparagraphc\subparagraph

\ififp at these
\pagestyle{headings}
%\numberwithin{equation}{chapter}
\else
\pagestyle{plain}
%\numberwithin{equation}{section}
\fi
\providecommand\ufootnote[1]{{\let\thefootnote\relax\footnote[0]{#1}}}
\providecommand\unn{\mbox{\usefont{U}{bbold}{m}{n}1}}

\endinput
-------------- next part --------------
% mangletex (24 Nov 1995) run at 16:39 BST Tuesday 05 September 2000
\message{<Paul Taylor's commutative diagrams, version 3.88, September 2000>}%
%%======================================================================%
%%      TeX  macros for drawing category-theoretic diagrams             %
%%                                                                      %
%%                              Paul  Taylor                            %
%%                                                                      %
%%                       Department of Computer Science,                %
%%                      Queen Mary and Westfield College,               %
%%                              London E1 4NS                           %
%%                            +44 20 7882 5241                          %
%%                             pt at dcs.qmw.ac.uk                         %
%%                                                                      %
%%                           PLEASE READ THE MANUAL!                    %
%%                                                                      %
%%      http://www.dcs.qmw.ac.uk/~pt/diagrams/index.html
%% ftp://ftp.tex.ac.uk/tex-archive/macros/generic/diagrams/taylor/index.html
%%                                                                      %
%%      Please ensure that you are registered with me as a user so that %
%%      you can be informed of future releases.  Any electronic mail    %
%%      message with "commutative" or "diagram" in the subject line     %
%%      (such as your request for the package, a question about it, or  %
%%      even an otherwise blank message) automatically registers you.   %
%%                                                                      %
%%                                                                      %
%% CONTENTS:                                                            %
%%  (O) corruption-sensitive hacks    (to approx line 340)              %
%%              Arrow components & commands - starts approx line 1250   %
%% (21) auxillary macros for adjustment of components                   %
%% (22) bits of arrows  (\rhvee etc)                                    %
%% (23) arrow commands  (\rTo etc)                                      %
%% (24) miscellaneous                                                   %
%% Apart from these five sections, the rest is intended to be totally   %
%% meaningless in the undocumented version, which is approximately 1900 %
%% lines long. Please do not waste trees by printing it out.            %
%%                                                                      %
%% COPYRIGHT NOTICE:                                                    %
%%      This package may be copied and used freely for any academic     %
%%      (not commercial or military) purpose, on condition that it      %
%%      is not altered in any way, and that an acknowledgement is       %
%%      included in any published work making substantial use of it.    %
%%                                                                      %
%%      IT IS SUPPLIED "AS IS", WITHOUT WARRANTY, EXPRESS OR IMPLIED.   %
%%                                                                      %
%%      If you are doing something where mistakes cost money (or where  %
%%      success brings financial profit) then you must use commercial   %
%%      software, not this package. In any case, please remember to     %
%%      keep several backup copies of all files, and check everything   %
%%      visually before sending final copy to the publishers.           %
%%                                                                      %
%%      You may use this package as a (substantial) aid to writing an   %
%%      academic research or text book on condition that                %
%%       (i) you contact me at a suitable time to ensure that you have  %
%%           an up-to-date version (and any infelicities can be fixed), %
%%      (ii) you send me a copy of the book when it's published.        %
%%                                                                      %
%% HISTORY                                                              %
%% 3.88 Released 1 September 2000                                       %
%%      Square hook tail: \newarrow{SquareInto}{sqhook}--->             %
%%      Five-year (instead of one-year) time-bombs.                     %
%% 3.87 Released 1 September 1999                                       %
%%      This version was used for the final 1200dpi PS copy of my book  %
%%      ``Practical Foundations of Mathematics'' (Cambridge Univ Press) %
%%      see   http://www.dcs.qmw.ac.uk/~pt/Practical_Foundations        %
%% 3.86 Released 1 September 1998                                       %
%%      New options hug and nohug in PostScript mode: [PS,nohug] uses   %
%%      PS for the arrows without rotating the labels, but the way of   %
%%      calculating the actual position of these horizontal labels on   %
%%      will remain subject to alteration for some period of time ---   %
%%      please send me examples if you feel that adjustment is needed.  %
%%                                                                      %
%%      Suppress indentation of following text (due to LaTeX change)    %
%%      Mangle \left at label and \right at label (conflict with Elsevier).   %
%%      midvshaft and snake for vertical arrows                         %
%%      New option [gap=width] (default=shortfall) to use instead of    %
%%      ~{\;} on horizontals and PS diagonals, as this caused ^ and _   %
%%      Added >-> and <-< heads and tails, same as >> and << but the    %
%%      shaft goes *through* the extra arrowhead.                       %
%% 3.85 Released 20 August 1997                                         %
%%      New option [crab=distance] shifts horizontals and PS diagonals  %
%%      transversally by the specified distance (positive=upward).      %
%%      New option [snake=distance] shifts midshaft horizontals and     %
%%      PS diagonals longitudinally by the specified distance.          %
%%      New option [leftflush], like [flushleft] but reckons alignment  %
%%      from multiple verticals, or from text if there's no vertical.   %
%%      Most of the history has been suppressed from the user version.  %
%% 3.84 Released 2 September 1996                                       %
%% 3.83 Released 18 May 1995                                            %
%%      "dotted" option (set dot filler on maps)                        %
%%      Parallel maps (\pile) outside diagrams stretch correctly.       %
%%      Option "LaTeXeqno" uses LaTeX's equation number and style       %
%%      for "eqno";  LaTeX's \label command picks this up.              %
%%      Suppress warnings & 2nd pass errors with "silent" option.       %
%% 3.82                                                                 %
%% 3.81 Second alpha release 18 July 1994                               %
%%      Fixed displaced parenthesis instead of hook tails in manual p8. %
%%      \overprint{text} sets text in maths and overprints it in the    %
%%      current cell, centered in the column irrespective of other stuff%
%%      "repositionpullbacks" option uses this for \SEpbk etc           %
%%      \newdiagramgrid declaration, grid option and pentagon grid.     %
%% 3.80 Alpha release for adjusted diagonals 15 July 1994.              %
%%      Some options can now take (x,y) values.                         %
%%      Name of DVI->PS translator as argument to PostScript option.    %
%%      Loading after \begin{document} in LaTeX2e possible.             %
%%      Loading before \documentstyle or \documentclass possible.       %
%%      Equilateral triangle or regular hexagon size options.           %
%%      Introduced landscape and portrait options.                      %
%%      Parse []-options during label processing.                       %
%%      Made midhshaft work; always set it for single-row diagrams.     %
%%      \diagramstyle may be used within diagrams.                      %
%%      Vertical maps targetted at labels of horizontals avoid them.    %
%%      Diagonals adjusted to meet their endpoints, at last!!!!         %
%% 3.29 Released 11 March 1994                                          %
%% 3.28 Released 30 November 1993                                       %
%%      Peter Freyd's \puncture symbol provided.                        %
%% 3.27 Released 26 March 1993                                          %
%% 3.26 Released 11 February 1993                                       %
%% 3.25 Released 30 January 1993                                        %
%%      LaTeX heads made default (unless \tenln undefined, when vee)    %
%%      Circle, cross, little vee, little black triangle heads.         %
%%      First-use warning when defaulted diagonal components are used.  %
%%      Warning if diagonals used & columns stretched significantly.    %
%%      AMSTEX emulation - works at least when amstex not present.      %
%% 3.24 Release 7 Sept 1992 advertised to users.                        %
%%      PostScript option introduced:                                   %
%%      LaTeX, vee, curlyvee, triangle & blacktriangle heads & tails    %
%%      TPIC option introduced as an alternative to \LaTeX at make@line.   %
%%      New reformatting program.                                       %
%%      Optional arguments on \diagram, maps and \diagramstyle.         %
%% 3.20 (29.4.92) early release of version 4                            %
%%      Postscript arrows (basic code).                                 %
%%      Implemented \newarrow \newarrowhead etc.                        %
%%      Corruption-sensitive characters avoided wherever possible.      %
%%      Reloading prevented.                                            %
%%      Horizontal arrows outside diagram can stretch by wordspacing.   %
%%      Added < and > for labels on left and right of arrow;            %
%% 3.16 (20.7.90) as mass mailed; only have mangled version             %
%% -- all following version numbers are post-facto --                   %
%%  3   (Jan 90) stretching vertical arrows                             %
%%  2   (Sept 89) horizontals stretch to objects; "superscript" labels  %
%%  1   (1987) horizontal arrows stretch to edge of cell                %
%%  0   (1986) implementation of Knuth's TeXercise 18.46                %
%%======================================================================%

%%======================================================================%
%%                                                                      %
%%      (1) CORRUPTION-SENSITIVE HACKS                                  %
%%                                                                      %
%%======================================================================%

%%                      CORRUPTION & \catcode WARNING

%% BITNET (IBM) machines may corrupt certain important characters
%% in transmission by electronic mail:
%%        0123456789=digits, abcdefghijklmnopqrstuvwxyz=lowers,
%%        ABCDEFGHIJKLMNOPQRSTUVWXYZ=uppers, @=at (internal names),
%%        {}=curly braces (grouping), \=backslash (keywords),
%%        %=percent (comment), #=hash/sharp (argument), +=plus, -=minus,
%%        <>=angle brackets (relations \ifnum,\ifdim), ==equals,
%%        ,=comma, .=dot, :=colon, ;=semicolon,  =space
%% $=dollar (maths) is only used in the "bits of maps" section

%% The following characters are marked by a comment including the word "ASCII",
%% except in comments and messages:
%%        &=and (alignment), ~=tilde, |=vertical, []=square brackets,
%%        ^=caret (superscript), _=underline (subscript),
%%        `=grave/backquote (catcodes), '=acute/single quote (octal),
%%        "=double quote (hex), ()=round brackets,
%%        /=slash, ?=query, !=pling/bang, 

%% The \catcode's marked * are assumed for reading this file:
%%          \=0* {=1* }=2* $=3 &=4 return=5* #=6 ^=7 _=8 ignored=9*
%%          space=10* letter=11* other=12 active=13 %=14* invalid=15
%% If you want to load this package inside Stallman's "texinfo", you must do
%%% @catcode`@\=0 \catcode`\%=14 \input diagrams \catcode`\%=12 \catcode`\\=13
%% and then use @diagram @rTo @\ @enddiagram etc. (braces {} stay the same).
%% Also need @catcode`@&=4.

%%*** You *MUST NOT* use the internal commands (with names beginning \CD@)****

%% don't load me twice!
\ifx\diagram\undefined\else\message{WARNING: the \string\diagram\space command
is already defined and will not be loaded again}\expandafter\endinput\fi

%% make @ letter, saving its old code to restore at the end of this file
%%% look for this on the last line of the file if you think something's missing!
%% the other \catcode assignments are to make it work with texinfo.
\edef\cdrestoreat{%%
\noexpand\catcode\lq\noexpand\@=\the\catcode\lq\@%%
\noexpand\catcode\lq\noexpand\#=\the\catcode\lq\#%%
\noexpand\catcode\lq\noexpand\$=\the\catcode\lq\$%%
\noexpand\catcode\lq\noexpand\<=\the\catcode\lq\<%%
\noexpand\catcode\lq\noexpand\>=\the\catcode\lq\>%%
\noexpand\catcode\lq\noexpand\:=\the\catcode\lq\:%% Johannes L. Braams's
\noexpand\catcode\lq\noexpand\;=\the\catcode\lq\;%% Babel languages package
\noexpand\catcode\lq\noexpand\!=\the\catcode\lq\!%% makes these \active.
\noexpand\catcode\lq\noexpand\?=\the\catcode\lq\?%%
\noexpand\catcode\lq\noexpand\+=\the\catcode\rq53%
%% texinfo @+ is @outer at active
}\catcode\lq\@=11 \catcode\lq\#=6 \catcode\lq\<=12 \catcode\lq\>=12 \catcode
\rq53=12 \catcode\lq\:=12 \catcode\lq\;=12 \catcode\lq\!=12 \catcode\lq\?=12

%% Change y to n if pool_size in your implementation of TeX is small.
%% This is reasonable if you have a small ("personal") computer, but if you
%%% have a sun, dec, hp, ... workstation or a mainframe, complain to your local
%% system manager and get him/her to install a version of TeX with bigger
%% parameters. The "hash size" (number of command names) gets you next.
\ifx\diagram at help@messages\undefined\let\diagram at help@messages y\fi

%% The following macro is used to include literal PostScript commands in the
%% DVI file for rotation, etc.  Since this goes beyond standard TeX, it is
%%% dependent on the convention used by your local DVI-to-PostScript translator.
%% Choose whichever line applies to the program used at your site, or, if
%% yours is not listed, consult the manual, experiment with this macro and
%% (please) tell me what is needed to make it work.
%%
%%
%%% dvips (Tomas Rokicki, Radical Eye) labrea.stanford.edu /pub/dvips9999.tar.Z
%% CTAN: dviware/dvips
\def\cdps at Rokicki#1{\special{ps:#1}}\let\cdps at dvips\cdps at Rokicki\let
\cdps at RadicalEye\cdps at Rokicki\let\CD at IK\cdps at Rokicki\let\CD at HB\cdps at Rokicki
%%
%% I'm not sure that the rest work.
%%
%% dvitps (Stephan Bechtolsheim, Integrated Computer Systems)
%% arthur.cs.purdue.edu /pub/TeXPS-9.99.tar.Z
\def\cdps at Bechtolsheim#1{\special{dvitps: Literal "#1"}}%
%% ASCII two dbl quotes
\let\cdps at dvitps\cdps at Bechtolsheim\let\cdps at IntegratedComputerSystems
\cdps at Bechtolsheim%%
%% dvitops (James Clark)
%% CTAN: dviware/dvitops
\def\cdps at Clark#1{\special{dvitops: inline #1}}%%
\let\cdps at dvitops\cdps at Clark%%
%% OzTeX (Andrew Trevorrow) cannot be used
\let\cdps at OzTeX\empty\let\cdps at oztex\empty\let\cdps at Trevorrow\empty%%
%% dvi3ps (Kevin Coombes)
%% CTAN: dviware/dvi2ps/dvi3ps
\def\cdps at Coombes#1{\special{ps-string #1}}%%
%% psprint (Trevorrow) CTAN: dviware/psprint
%% dvi2ps (Senn) CTAN: dviware/dvi2ps
%% psdvi (Elwell) CTAN: dviware/dvi2ps/psdvi

\count@=\year\multiply\count at 12 \advance\count@\month%%
\ifnum\count@>24068 %% (August 2005) It's changing very fast at the moment!
\message{***********************************************************}%%ascii
\message{! YOU HAVE AN OUT OF DATE VERSION OF COMMUTATIVE DIAGRAMS! *}%%
\message{! it expired in August 2005 and is time-bombed for January *}%%
\message{! You may get an up to date version of this package from *}%%ascii
\message{! ftp://ftp.dcs.qmw.ac.uk/pub/tex/contrib/pt/diagrams/ *}%%
\message{***********************************************************}%%ascii
\ifnum\count@>24071 %% (November 2005)
\errhelp{You may press RETURN and carry on for the time being.}\message{! It
is embarrassing to see papers in conference proceedings}\message{! and
journals containing bugs which I had fixed years before.}\message{! It is easy
to obtain and install a new version, which will}\errmessage{! remain
compatible with your files. Please get it NOW.}\fi\fi

\def\CD at DE{\global\let}\def\CD at RH{\outer\def}

%% safe names for braces, tab (&) and maths ($), as commands and for messages
{\escapechar\m at ne\xdef\CD at o{\string\{}\xdef\CD at yC{\string\}}%%
%%
%% three ASCII ampersands (ands) (&&&) appear on the next line
\catcode\lq\&=4 \CD at DE\CD at Q=&\xdef\CD at S{\string\&}%%ascii three ands
%%
%% ASCII ^ and _ each appear twice on next line
%% six ASCII dollars ($$$$$$) appear on the next two lines.
\catcode\lq\$=3 \CD at DE\CD at k=$\CD at DE\CD at ND=$%%ascii three dollars
\xdef\CD at nC{\string\$}\gdef\CD at LG{$$}%%ascii three dollars
%%
%% two ASCII underlines (__) appear on the next line.
\catcode\lq\_=8 \CD at DE\CD at lJ=_%%ascii two underlines
%%
%% six ASCII carets (^^^^^^) appear on the next three lines.
\obeylines\catcode\lq\^=7 \CD at DE\@super=^%%ascii two carets
\ifnum\newlinechar=10 \gdef\CD at uG{^^J}%%ascii two carets
\else\ifnum\newlinechar=13 \gdef\CD at uG{^^M}%%ascii two carets
\else\CD at DE\CD at uG\space\expandafter\message{! input error: \noexpand
\newlinechar\space is ASCII \the\newlinechar, not LF=10 or CR=13.}%%
\fi\fi}%%

%% avoid using <> (because I personally re-define them to mean \langle\rangle)
\mathchardef\lessthan=\rq30474 \mathchardef\greaterthan=\rq30476

%% LaTeX line and arrowhead font
%% the "hit return" comments show up if the font is missing.
\ifx\tenln\undefined%%
\font\tenln=line10\relax%% Hit return - who needs diagonals?
\fi\ifx\tenlnw\undefined\ifx\tenln\nullfont\let\tenlnw\nullfont\else%%
\font\tenlnw=linew10\relax%% Hit return - who needs diagonals?
\fi\fi%%

%% report line numbers in TeX3 only
\ifx\inputlineno\undefined\csname newcount\endcsname\inputlineno\inputlineno
\m at ne\message{***************************************************}\message{!
Obsolete TeX (version 2). You should upgrade to *}\message{! version 3, which
has been available since 1990. *}\message{***********************************%
****************}\fi

\def\cd at shouldnt#1{\CD at KB{* THIS (#1) SHOULD NEVER HAPPEN! *}}

%% turn round- and square-bracketed arguments into curly-bracketed
\def\get at round@pair#1(#2,#3){#1{#2}{#3}}%%ascii round brackets ()
\def\get at square@arg#1[#2]{#1{#2}}%%ascii square brackets []
\def\CD at AE#1{\CD at PK\let\CD at DH\CD@@E\CD@@E#1,],}%%ascii sq brackets
\def\CD at m{[}\def\CD at RD{]}\def\commdiag#1{{\let\enddiagram\relax\diagram[]#1%
\enddiagram}}

%% ASCII open square bracket occurs on next line
\def\CD at BF{{\ifx\CD at EH[\aftergroup\get at square@arg\aftergroup\CD at YH\else
\aftergroup\CD at JH\fi}}%%
\def\CD at CF#1#2{\def\CD at YH{#1}\def\CD at JH{#2}\futurelet\CD at EH\CD at BF}

%% ASCII vertical bar (|) occurs on the next line
\def\CD at KK{|}

\def\CD at PB{%% arguments to maps inside diagrams
\tokcase\CD at DD:\CD at y\break at args;\catcase\@super:\upper at label;\catcase\CD at lJ:%
\lower at label;\tokcase{~}:\middle at label;%%ascii tilde
\tokcase<:\CD at iF;%%ascii less-than
\tokcase>:\CD at iI;%%ascii greater-than
\tokcase(:\CD at BC;%%)%ascii open round bracket
\tokcase[:\optional@;%%]%ascii open square bracket
\tokcase.:\CD at JJ;%%ascii dot 12.7.94
\catcase\space:\eat at space;\catcase\bgroup:\positional@;\default:\CD@@A
\break at args;\endswitch}

\def\switch at arg{%% arguments to horizontal maps outside diagrams
\catcase\@super:\upper at label;\catcase\CD at lJ:\lower at label;\tokcase[:\optional@
;%%]%ascii open square bracket
\tokcase.:\CD at JJ;%%ascii dot 12.7.94 % ; was : before 15.6.97
\catcase\space:\eat at space;\catcase\bgroup:\positional@;\tokcase{~}:%
\middle at label;%%ascii tilde (questionable!)
\default:\CD at y\break at args;\endswitch}

%% That's as much as you get to read "in clear" - the rest is private!

\let\CD at tJ\relax\ifx\protect\undefined\let\protect\relax\fi\ifx\AtEndDocument
\undefined\def\CD at PG{\CD at gB}\def\CD at GF#1#2{}\else\def\CD at PG#1{\edef\CD at CH{#1}%
\expandafter\CD at oC\CD at CH\CD at OD}\def\CD at oC#1\CD at OD{\AtEndDocument{\typeout{%
\CD at tA: #1}}}\def\CD at GF#1#2{\gdef#1{#2}\AtEndDocument{#1}}\fi\def\CD at ZA#1#2{%
\def#1{\CD at PG{#2\CD at mD\CD at W}\CD at DE#1\relax}}\def\CD at uF#1\repeat{\def\CD at p{#1}%
\CD at OF}\def\CD at OF{\CD at p\relax\expandafter\CD at OF\fi}\def\CD at sF#1\repeat{\def
\CD at q{#1}\CD at PF}\def\CD at PF{\CD at q\relax\expandafter\CD at PF\fi}\def\CD at tF#1%
\repeat{\def\CD at r{#1}\CD at QF}\def\CD at QF{\CD at r\relax\expandafter\CD at QF\fi}\def
\CD at tG#1#2#3{\def#2{\let#1\iftrue}\def#3{\let#1\iffalse}#3}\if y%
\diagram at help@messages\def\CD at rG#1#2{\csname newtoks\endcsname#1#1=%
\expandafter{\csname#2\endcsname}}\else\csname newtoks\endcsname\no at cd@help
\no at cd@help{See the manual}\def\CD at rG#1#2{\let#1\no at cd@help}\fi\chardef\CD at lF
=1 \chardef\CD at lI=2 \chardef\CD at MH=5 \chardef\CD at tH=6 \chardef\CD at sH=7
\chardef\CD at PC=9 \dimendef\CD at hI=2 \dimendef\CD at hF=3 \dimendef\CD at mF=4
\dimendef\CD at mI=5 \dimendef\CD at wJ=6 \dimendef\CD at tI=8 \dimendef\CD at sI=9
\skipdef\CD at uB=1 \skipdef\CD at NF=2 \skipdef\CD at tB=3 \skipdef\CD at ZE=4 \skipdef
\CD at JK=5 \skipdef\CD at kI=6 \skipdef\CD at kF=7 \skipdef\CD at qI=8 \skipdef\CD at pI=9
\countdef\CD at JC=9 \countdef\CD at gD=8 \countdef\CD at A=7 \def\sdef#1#2{\def#1{#2}%
}\def\CD at L#1{\expandafter\aftergroup\csname#1\endcsname}\def\CD at RC#1{%
\expandafter\def\csname#1\endcsname}\def\CD at sD#1{\expandafter\gdef\csname#1%
\endcsname}\def\CD at vC#1{\expandafter\edef\csname#1\endcsname}\def\CD at nF#1#2{%
\expandafter\let\csname#1\expandafter\endcsname\csname#2\endcsname}\def\CD at EE
#1#2{\expandafter\CD at DE\csname#1\expandafter\endcsname\csname#2\endcsname}%
\def\CD at AK#1{\csname#1\endcsname}\def\CD at XJ#1{\expandafter\show\csname#1%
\endcsname}\def\CD at ZJ#1{\expandafter\showthe\csname#1\endcsname}\def\CD at WJ#1{%
\expandafter\showbox\csname#1\endcsname}\def\CD at tA{Commutative Diagram}\edef
\CD at kH{\string\par}\edef\CD at dC{\string\diagram}\edef\CD at HD{\string\enddiagram
}\edef\CD at EC{\string\\}\def\CD at eF{LaTeX}\ifx\@ignoretrue\undefined
\expandafter\CD at tG\csname if at ignore\endcsname\ignore at true\ignore at false\def
\@ignoretrue{\global\ignore at true}\def\@ignorefalse{\global\ignore at false}\fi

\def\CD at g{{\ifnum0=\lq}\fi}\def\CD at wC{\ifnum0=\lq{\fi}}\def\catcase#1:{\ifcat
\noexpand\CD at EH#1\CD at tJ\expandafter\CD at kC\else\expandafter\CD at dJ\fi}\def
\tokcase#1:{\ifx\CD at EH#1\CD at tJ\expandafter\CD at kC\else\expandafter\CD at dJ\fi}%
\def\CD at kC#1;#2\endswitch{#1}\def\CD at dJ#1;{}\let\endswitch\relax\def\default:%
#1;#2\endswitch{#1}\ifx\at@\undefined\def\at@{@}\fi\edef\CD at P{\CD at o pt\CD at yC}%
\CD at RC{\CD at P>}#1>#2>{\CD at z\rTo\sp{#1}\sb{#2}\CD at z}\CD at RC{\CD at P<}#1<#2<{\CD at z
\lTo\sp{#1}\sb{#2}\CD at z}\CD at RC{\CD at P)}#1)#2){\CD at z\rTo\sp{#1}\sb{#2}\CD at z}%
%%ascii round
\CD at RC{\CD at P(}#1(#2({\CD at z\lTo\sp{#1}\sb{#2}\CD at z}%%ascii brack
\def\CD at O{\def\endCD{\enddiagram}\CD at RC{\CD at P A}##1A##2A{\uTo<{##1}>{##2}%
\CD at z\CD at z}\CD at RC{\CD at P V}##1V##2V{\dTo<{##1}>{##2}\CD at z\CD at z}\CD at RC{\CD at P=}{%
\CD at z\hEq\CD at z}\CD at RC{\CD at P\CD at KK}{\vEq\CD at z\CD at z}\CD at RC{\CD at P\string\vert}{%
\vEq\CD at z\CD at z}\CD at RC{\CD at P.}{\CD at z\CD at z}\let\CD at z\CD at Q}\def\CD at IE{\let\tmp
\CD at JE\ifcat A\noexpand\CD at CH\else\ifcat=\noexpand\CD at CH\else\ifcat\relax
\noexpand\CD at CH\else\let\tmp\at@\fi\fi\fi\tmp}\def\CD at JE#1{\CD at nF{tmp}{\CD at P
\string#1}\ifx\tmp\relax\def\tmp{\at@#1}\fi\tmp}\def\CD at z{}\begingroup
\aftergroup\def\aftergroup\CD at T\aftergroup{\aftergroup\def\catcode\lq\@%
\active\aftergroup @\endgroup{\futurelet\CD at CH\CD at IE}}\newcount\CD at uA
\newcount\CD at vA\newcount\CD at wA\newcount\CD at xA\newdimen\CD at OA\newdimen\CD at PA
\CD at tG\CD at gE\CD@@A\CD at y\CD at tG\CD at hE\CD at EA\CD at BA\newdimen\CD at RA\newdimen\CD at SA
\newcount\CD at yA\newcount\CD at zA\newdimen\CD at QA\newbox\CD at DA\CD at tG\CD at lE\CD at dA
\CD at bA\newcount\CD at LH\newcount\CD at TC\def\CD at V#1#2{\ifdim#1<#2\relax#1=#2%
\relax\fi}\def\CD at X#1#2{\ifdim#1>#2\relax#1=#2\relax\fi}\newdimen\CD at XH\CD at XH
=1sp \newdimen\CD at zC\CD at zC\z@\def\CD at cJ{\ifdim\CD at zC=1em\else\CD at nJ\fi}\def
\CD at nJ{\CD at zC1em\def\CD at NC{\fontdimen8\textfont3 }\CD@@J\CD at NJ\setbox0=\vbox{%
\CD at t\noindent\CD at k\null\penalty-9993\null\CD at ND\null\endgraf\setbox0=%
\lastbox\unskip\unpenalty\setbox1=\lastbox\global\setbox\CD at IG=\hbox{\unhbox0%
\unskip\unskip\unpenalty\setbox0=\lastbox}\global\setbox\CD at KG=\hbox{\unhbox1%
\unskip\unpenalty\setbox1=\lastbox}}}\newdimen\CD@@I\CD@@I=1true in \divide
\CD@@I300 \def\CD at zH#1{\multiply#1\tw@\advance#1\ifnum#1<\z at -\else+\fi\CD@@I
\divide#1\tw@\divide#1\CD@@I\multiply#1\CD@@I}\def\MapBreadth{%
\afterassignment\CD at gI\CD at LF}\newdimen\CD at LF\newdimen\CD at oI\def\CD at gI{\CD at oI
\CD at LF\CD at V\CD@@I{4\CD at XH}\CD at X\CD@@I\p@\CD at zH\CD at oI\ifdim\CD at LF>\z@\CD at V
\CD at oI\CD@@I\fi\CD at cJ}\def\CD at RJ#1{\CD at zD\count@\CD@@I#1\ifnum\count@>\z@
\divide\CD@@I\count@\fi\CD at gI\CD at NJ}\def\CD at NJ{\dimen@\CD at QC\count@\dimen@
\divide\count at 5\divide\count@\CD@@I\edef\CD at OC{\the\count@}}\def\CD at AJ{\CD at QJ
\z@}\def\CD at QJ#1{\CD at tI\axisheight\advance\CD at tI#1\relax\advance\CD at tI-.5%
\CD at oI\CD at zH\CD at tI\CD at sI-\CD at tI\advance\CD at tI\CD at LF}\newdimen\CD at DC\CD at DC\z@
\newdimen\CD at eJ\CD at eJ\z@\def\CD at CJ#1{\CD at sI#1\relax\CD at tI\CD at sI\advance\CD at tI
\CD at LF\relax}\def\horizhtdp{height\CD at tI depth\CD at sI}\def\axisheight{%
\fontdimen22\the\textfont\tw@}\def\script at axisheight{\fontdimen22\the
\scriptfont\tw@}\def\ss at axisheight{\fontdimen22\the\scriptscriptfont\tw@}\def
\CD at NC{0.4pt}\def\CD at VK{\fontdimen3\textfont\z@}\def\CD at UK{\fontdimen3%
\textfont\z@}\newdimen\PileSpacing\newdimen\CD at nA\CD at nA\z@\def\CD at RG{%
\ifincommdiag1.3em\else2em\fi}\newdimen\CD at YB\def\CellSize{\afterassignment
\CD at kB\DiagramCellHeight}\newdimen\DiagramCellHeight\DiagramCellHeight-%
\maxdimen\newdimen\DiagramCellWidth\DiagramCellWidth-\maxdimen\def\CD at kB{%
\DiagramCellWidth\DiagramCellHeight}\def\CD at QC{3em}\newdimen\MapShortFall\def
\MapsAbut{\MapShortFall\z@\objectheight\z@\objectwidth\z@}\newdimen\CD at iA
\CD at iA\z@\def\newarrowhead{\CD at mG h\CD at BG\CD at GG>}\def\newarrowtail{\CD at mG t%
\CD at BG\CD at GG>}\def\newarrowmiddle{\CD at mG m\CD at BG\hbox at maths\empty}\def
\newarrowfiller{\CD at mG f\CD at bE\CD at MK-}\def\CD at mG#1#2#3#4#5#6#7#8#9{\CD at RC{r#1%
:#5}{#2{#6}}\CD at RC{l#1:#5}{#2{#7}}\CD at RC{d#1:#5}{#3{#8}}\CD at RC{u#1:#5}{#3{#9}%
}\CD at vC{-#1:#5}{\expandafter\noexpand\csname-#1:#4\endcsname\noexpand\CD at MC}%
\CD at vC{+#1:#5}{\expandafter\noexpand\csname+#1:#4\endcsname\noexpand\CD at MC}}%
\CD at ZA\CD at MC{\CD at eF\space diagonals are used unless PostScript is set}\def
\defaultarrowhead#1{\edef\CD at sJ{#1}\CD@@J}\def\CD@@J{\CD at IJ\CD at sJ<>ht\CD at IJ
\CD at sJ<>th}\def\CD at IJ#1#2#3#4#5{\CD at HJ{r#4}{#3}{l#5}{#2}{r#4:#1}\CD at HJ{r#5}{#%
2}{l#4}{#3}{l#4:#1}\CD at HJ{d#4}{#3}{u#5}{#2}{d#4:#1}\CD at HJ{d#5}{#2}{u#4}{#3}{u%
#4:#1}}\def\CD at HJ#1#2#3#4#5{\begingroup\aftergroup\CD at GJ\CD at L{#1+:#2}\CD at L{#1%
:#2}\CD at L{#3:#4}\CD at L{#5}\endgroup}\def\CD at GJ#1#2#3#4{\csname newbox%
\endcsname#1\def#2{\copy#1}\def#3{\copy#1}\setbox#1=\box\voidb at x}\def\CD at sJ{}%
\CD@@J\def\CD at GJ#1#2#3#4{\setbox#1=#4}\ifx\tenln\nullfont\def\CD at sJ{vee}\else
\let\CD at sJ\CD at eF\fi\def\CD at xF#1#2#3{\begingroup\aftergroup\CD at wF\CD at L{#1#2:#3%
#3}\CD at L{#1#2:#3}\aftergroup\CD at yF\CD at L{#1#2:#3-#3}\CD at L{#1#2:#3}\endgroup}%
\def\CD at wF#1#2{\def#1{\hbox{\rlap{#2}\kern.4\CD at zC#2}}}\def\CD at yF#1#2{\def#1{%
\hbox{\rlap{#2}\kern.4\CD at zC#2\kern-.4\CD at zC}}}\CD at xF lh>\CD at xF rt>\CD at xF rh<%
\CD at xF rt<\def\CD at yF#1#2{\def#1{\hbox{\kern-.4\CD at zC\rlap{#2}\kern.4\CD at zC#2}%
}}\CD at xF rh>\CD at xF lh<\CD at xF lt>\CD at xF lt<\def\CD at wF#1#2{\def#1{\vbox{\vbox to%
\z@{#2\vss}\nointerlineskip\kern.4\CD at zC#2}}}\def\CD at yF#1#2{\def#1{\vbox{%
\vbox to\z@{#2\vss}\nointerlineskip\kern.4\CD at zC#2\kern-.4\CD at zC}}}\CD at xF uh>%
\CD at xF dt>\CD at xF dh<\CD at xF dt<\def\CD at yF#1#2{\def#1{\vbox{\kern-.4\CD at zC\vbox
to\z@{#2\vss}\nointerlineskip\kern.4\CD at zC#2}}}\CD at xF dh>\CD at xF ut>\CD at xF uh<%
\CD at xF ut<\def\CD at BG#1{\hbox{\mathsurround\z@\offinterlineskip\CD at k\mkern-1.5%
mu{#1}\mkern-1.5mu\CD at ND}}\def\hbox at maths#1{\hbox{\CD at k#1\CD at ND}}\def\CD at GG#1%
{\hbox to\CD at LF{\setbox0=\hbox{\offinterlineskip\mathsurround\z@\CD at k{#1}%
\CD at ND}\dimen0.5\wd0\advance\dimen0-.5\CD at oI\CD at zH{\dimen0}\kern-\dimen0%
\unhbox0\hss}}\def\CD at sB#1{\hbox to2\CD at LF{\hss\offinterlineskip\mathsurround
\z@\CD at k{#1}\CD at ND\hss}}\def\CD at vF#1{\hbox{\mathsurround\z@\CD at k{#1}\CD at ND}}%
\def\CD at bE#1{\hbox{\kern-.15\CD at zC\CD at k{#1}\CD at ND\kern-.15\CD at zC}}\def\CD at MK#%
1{\vbox{\offinterlineskip\kern-.2ex\CD at GG{#1}\kern-.2ex}}\def\@fillh{%
\xleaders\vrule\horizhtdp}\def\@fillv{\xleaders\hrule width\CD at LF}\CD at nF{rf:-%
}{@fillh}\CD at nF{lf:-}{@fillh}\CD at nF{df:-}{@fillv}\CD at nF{uf:-}{@fillv}\CD at nF{%
rh:}{null}\CD at nF{rm:}{null}\CD at nF{rt:}{null}\CD at nF{lh:}{null}\CD at nF{lm:}{null%
}\CD at nF{lt:}{null}\CD at nF{dh:}{null}\CD at nF{dm:}{null}\CD at nF{dt:}{null}\CD at nF{%
uh:}{null}\CD at nF{um:}{null}\CD at nF{ut:}{null}\CD at nF{+h:}{null}\CD at nF{+m:}{null%
}\CD at nF{+t:}{null}\CD at nF{-h:}{null}\CD at nF{-m:}{null}\CD at nF{-t:}{null}\def
\CD@@D{\hbox{\vrule height 1pt depth-1pt width 1pt}}\CD at RC{rf:}{\CD@@D}\CD at nF
{lf:}{rf:}\CD at nF{+f:}{rf:}\CD at RC{df:}{\CD@@D}\CD at nF{uf:}{df:}\CD at nF{-f:}{df:}%
\def\CD at BD{\CD at U\null\CD@@D\null\CD@@D\null}\edef\CD at lG{\string\newarrow}\def
\newarrow#1#2#3#4#5#6{\begingroup\edef\@name{#1}\edef\CD at oJ{#2}\edef\CD at iD{#3%
}\edef\CD at QG{#4}\edef\CD at jD{#5}\edef\CD at LE{#6}\let\CD at HE\CD at sG\let\CD at FK
\CD at BH\let\@x\CD at AH\ifx\CD at oJ\CD at iD\let\CD at oJ\empty\fi\ifx\CD at LE\CD at jD\let
\CD at LE\empty\fi\def\CD at LI{r}\def\CD at SF{l}\def\CD at IC{d}\def\CD at yJ{u}\def\CD at gH
{+}\def\@m{-}\ifx\CD at iD\CD at jD\ifx\CD at QG\CD at iD\let\CD at QG\empty\fi\ifx\CD at LE
\empty\ifx\CD at iD\CD at aE\let\@x\CD at yG\else\let\@x\CD at zG\fi\fi\else\edef\CD at a{%
\CD at iD\CD at oJ}\ifx\CD at a\empty\ifx\CD at QG\CD at jD\let\CD at QG\empty\fi\fi\fi\ifmmode
\aftergroup\CD at kG\else\CD@@A\CD at oB rh{head\space\space}\CD at LE\CD at oB rf{filler%
}\CD at iD\CD at oB rm{middle}\CD at QG\ifx\CD at jD\CD at iD\else\CD at oB rf{filler}\CD at jD\fi
\CD at oB rt{tail\space\space}\CD at oJ\CD at gE\CD at HE\CD at FK\@x\CD at nG l-2+2{lu}{nw}%
\NorthWest\CD at nG r+2+2{ru}{ne}\NorthEast\CD at nG l-2-2{ld}{sw}\SouthWest\CD at nG r%
+2-2{rd}{se}\SouthEast\else\aftergroup\CD at b\CD at L{r\@name}\fi\fi\endgroup}\def
\CD at sG{\CD at vG\CD at LI\CD at SF rl\Horizontal at Map}\def\CD at BH{\CD at vG\CD at IC\CD at yJ du%
\Vertical at Map}\def\CD at AH{\CD at vG\CD at gH\@m+-\Vector at Map}\def\CD at yG{\CD at vG\CD at gH
\@m+-\Slant at Map}\def\CD at zG{\CD at vG\CD at gH\@m+-\Slope at Map}\catcode\lq\/=\active
\def\CD at vG#1#2#3#4#5{\CD at jG#1#3#5t:\CD at oJ/f:\CD at iD/m:\CD at QG/f:\CD at jD/h:\CD at LE
//\CD at jG#2#4#5h:\CD at LE/f:\CD at jD/m:\CD at QG/f:\CD at iD/t:\CD at oJ//}\def\CD at jG#1#2#3%
#4//{\edef\CD at fG{#2}\aftergroup\sdef\CD at L{#1\@name}\aftergroup{\aftergroup#3%
\CD at M#4//\aftergroup}}\def\CD at M#1/{\edef\CD at EH{#1}\ifx\CD at EH\empty\else\CD at L{%
\CD at fG#1}\expandafter\CD at M\fi}\catcode\lq\/=12 \def\CD at nG#1#2#3#4#5#6#7#8{%
\aftergroup\sdef\CD at L{#6\@name}\aftergroup{\CD at L{#2\@name}\if#2#4\aftergroup
\CD at CI\else\aftergroup\CD at BI\fi\CD at L{#1\@name}%
%% ASCII round brackets and comma (,) appear on the next line
\aftergroup(\aftergroup#3\aftergroup,\aftergroup#5\aftergroup)\aftergroup}}%
\def\CD at oB#1#2#3#4{\expandafter\ifx\csname#1#2:#4\endcsname\relax\CD at y\CD at gB{%
arrow#3 "#4" undefined}\fi}\CD at rG\CD at VE{All five components must be defined
before an arrow.}\CD at rG\CD at SE{\CD at lG, unlike \string\HorizontalMap, is a
declaration.}\def\CD at b#1{\CD at YA{Arrows \string#1 etc could not be defined}%
\CD at VE}\def\CD at kG{\CD at YA{misplaced \CD at lG}\CD at SE}\def\newdiagramgrid#1#2#3{%
\CD at RC{cdgh@#1}{#2,],}%% ASCII close square bracket
\CD at RC{cdgv@#1}{#3,],}}%% ASCII close square bracket
\CD at tG\ifincommdiag\incommdiagtrue\incommdiagfalse\CD at tG\CD@@F\CD at IF\CD at HF
\newcount\CD at VA\CD at VA=0 \def\CD at yH{\CD at VA6 }\def\CD at OB{\CD at VA1 \global\CD at yA1
\CD at DE\CD at YF\empty}\def\CD at YF{}\def\CD at nB#1{\relax\CD at MD\edef\CD at vJ{#1}%
\begingroup\CD at rE\else\ifcase\CD at VA\ifmmode\else\CD at YG\CD at E0\fi\or\CD at cE5\or
\CD at YG\CD at F5\or\CD at YG\CD at B5\or\CD at YG\CD at B5\or\CD at YG\CD at C5\or\CD at cE7\or\CD at YG
\CD at D7\fi\fi\endgroup\xdef\CD at YF{#1}}\def\CD at pB#1#2#3#4#5{\relax\CD at MD\xdef
\CD at vJ{#4}\begingroup\ifnum\CD at VA<#1 \expandafter\CD at cE\ifcase\CD at VA0\or#2\or
#3\else#2\fi\else\ifnum\CD at VA<6 \CD at tJ\CD at YG\CD at B#2\else\CD at YG\CD at G#2\fi\fi
\endgroup\CD at DE\CD at YF\CD at vJ\ifincommdiag\let\CD at ZD#5\else\let\CD at ZD\CD at LK\fi}%
\def\CD at yI{\global\CD at yA=\ifnum\CD at VA<5 1\else2\fi\relax}\def\CD at OI{\CD at VA
\CD at yA}\def\CD at cE#1{\aftergroup\CD at VA\aftergroup#1\aftergroup\relax}\def
\CD at HH{\def\CD at nB##1{\relax}\let\CD at pB\CD at FH\let\CD at yH\relax\let\CD at OB\relax
\let\CD at yI\relax\let\CD at OI\relax}\def\CD at FH#1#2#3#4#5{\ifincommdiag\let\CD at ZD
#5\else\xdef\CD at vJ{#4}\let\CD at ZD\CD at LK\fi}\def\CD at YG#1{\aftergroup#1%
\aftergroup\relax\CD at cE}\def\CD at B{\CD at YE\CD at S\CD at ME\CD at Q}\def\CD at G{\CD at YE{%
\CD at yC\CD at S}\CD at XE\CD at QD\CD at Q}\def\CD at F{\CD at YE{*\CD at S}\CD at RE\clubsuit\CD at Q}%
\def\CD at C{\CD at YE{\CD at S*\CD at S}\CD at RE\CD at Q\clubsuit\CD at Q}\def\CD at D{\CD at YE\CD at EC
\CD at TE\\}\def\CD at E{\CD at YE\CD at nC\CD at QE\CD at k}\def\CD at LK{\CD at YA{\CD at vJ\space
ignored \CD at dH}\CD at WE}\def\CD at FE{}\def\CD at d{\CD at YA{maps must never be enclosed
in braces}\CD at OE}\def\CD at dH{outside diagram}\def\CD at FC{\string\HonV, \string
\VonH\space and \string\HmeetV}\CD at rG\CD at ME{The way that horizontal and
vertical arrows are terminated implicitly means\CD at uG that they cannot be
mixed with each other or with \CD at FC.}\CD at rG\CD at XE{\string\pile\space is for
parallel horizontal arrows; verticals can just be put together in\CD at uG a cell%
. \CD at FC\space are not meaningful in a \string\pile.}\CD at rG\CD at RE{The
horizontal maps must point to an object, not each other (I've put in\CD at uG one
which you're unlikely to want). Use \string\pile\space if you want them
parallel.}\CD at rG\CD at TE{Parallel horizontal arrows must be in separate layers
of a \string\pile.}\CD at rG\CD at QE{Horizontal arrows may be used \CD at dH s, but
must still be in maths.}\CD at rG\CD at WE{Vertical arrows, \CD at FC\space\CD at dH s don%
't know where\CD at uG where to terminate.}\CD at rG\CD at OE{This prevents them from
stretching correctly.}\def\CD at YE#1{\CD at YA{"#1" inserted \ifx\CD at YF\empty
before \CD at vJ\else between \CD at YF\ifx\CD at YF\CD at vJ s\else\space and \CD at vJ\fi
\fi}}\count@=\year\multiply\count at 12 \advance\count@\month\ifnum\count@>24073
\message{because this one expired in August 2005!}\expandafter\endinput\fi
\def\Horizontal at Map{\CD at nB{horizontal map}\CD at LC\CD at TJ\CD at qD}\def\CD at TJ{%
\CD at GB-9999 \let\CD at ZD\CD at XD\ifincommdiag\else\CD at cJ\ifinpile\else\skip2\z@
plus 1.5\CD at VK minus .5\CD at UK\skip4\skip2 \fi\fi\let\CD at kD\@fillh\CD at nF{%
fill at dot}{rf:.}}\def\Vector at Map{\CD at HK4}\def\Slant at Map{\CD at HK{\CD at EF255\else6%
\fi}}\def\Slope at Map{\CD at HK\CD at OC}\def\CD at HK#1#2#3#4#5#6{\CD at LC\def\CD at WK{2}%
\def\CD at aK{2}\def\CD at ZK{1}\def\CD at bK{1}\let\Horizontal at Map\CD at nI\def\CD at OG{#1%
}\def\CD at NI{\CD at U#2#3#4#5#6}}\def\CD at nI{\CD at TJ\CD at JB\let\CD at ZD\CD at TD\CD at qD}%
\CD at tG\CD at pE\CD at rA\CD at qA\CD at rA\def\cds at missives{\CD at rA}\def\CD at TD{\CD at vE\let
\CD at OG\CD at OC\CD at x\CD at zE\CD at WF\fi\setbox0\hbox{\incommdiagfalse\CD at HI}\CD at pE
\CD at aD\else\global\CD at YC\CD at bD\fi\ifvoid6 \ifvoid7 \CD at eE\fi\fi\CD at zE\else
\CD at BD\global\CD at YC\let\CD at CG\CD at IH\CD at YD\fi\else\CD at NI\CD at MI\global\CD at YC
\CD at YD\fi}\def\CD at LC{\begingroup\dimen1=\MapShortFall\dimen2=\CD at RG\dimen5=%
\MapShortFall\setbox3=\box\voidb at x\setbox6=\box\voidb at x\setbox7=\box\voidb at x
\CD at pD\mathsurround\z@\skip2\z@ plus1fill minus 1000pt\skip4\skip2 \CD at TB}%
\CD at tG\CD at tE\CD at UB\CD at TB\def\CD at U#1#2#3#4#5{\let\CD at oJ#1\let\CD at iD#2\let
\CD at QG#3\let\CD at jD#4\let\CD at LE#5\CD at TB\ifx\CD at iD\CD at jD\CD at UB\fi}\def\CD at qD#1#%
2#3#4#5{\CD at U#1#2#3#4#5\CD at tD}\def\Vertical at Map{\CD at pB433{vertical map}\CD at cD
\CD at LC\CD at GB-9995 \let\CD at kD\@fillv\CD at nF{fill at dot}{df:.}\CD at qD}\def
\break at args{\def\CD at tD{\CD at ZD}\CD at ZD\endgroup\aftergroup\CD at FE}\def\CD at MJ{%
\setbox1=\CD at oJ\setbox5=\CD at LE\ifvoid3 \ifx\CD at QG\null\else\setbox3=\CD at QG\fi
\fi\CD@@G2\CD at iD\CD@@G4\CD at jD}\def\CD at pF#1{\ifvoid1\else\CD at oF1#1\fi\ifvoid2%
\else\CD at oF2#1\fi\ifvoid3\else\CD at oF3#1\fi\ifvoid4\else\CD at oF4#1\fi\ifvoid5%
\else\CD at oF5#1\fi} \def\CD at oF#1#2{\setbox#1\vbox{\offinterlineskip\box#1%
\dimen@\prevdepth\advance\dimen at -#2\relax\setbox0\null\dp0\dimen@\ht0-\dimen@
\box0}}\def\CD@@G#1#2{\ifx#2\CD at kD\setbox#1=\box\voidb at x\else\setbox#1=#2\def
#2{\xleaders\box#1}\fi}\CD at ZA\CD at BK{\string\HorizontalMap, \string
\VerticalMap\space and \string\DiagonalMap\CD at uG are obsolete - use \CD at lG
\space to pre-define maps}\def\HorizontalMap#1#2#3#4#5{\CD at BK\CD at nB{old
horizontal map}\CD at LC\CD at TJ\def\CD at oJ{\CD at UH{#1}}\CD at SH\CD at iD{#2}\def\CD at QG{%
\CD at UH{#3}}\CD at SH\CD at jD{#4}\def\CD at LE{\CD at UH{#5}}\CD at tD}\def\VerticalMap#1#2#%
3#4#5{\CD at BK\CD at pB433{vertical map}\CD at cD\CD at LC\CD at GB-9995 \let\CD at kD\@fillv
\def\CD at oJ{\CD at GG{#1}}\CD at VH\CD at iD{#2}\def\CD at QG{\CD at GG{#3}}\CD at VH\CD at jD{#4}%
\def\CD at LE{\CD at GG{#5}}\CD at tD}\def\DiagonalMap#1#2#3#4#5{\CD at BK\CD at LC\def
\CD at OG{4}\let\CD at kD\undefined\let\CD at ZD\CD at YD\def\CD at WK{2}\def\CD at aK{2}\def
\CD at ZK{1}\def\CD at bK{1}\def\CD at QG{\CD at vF{#3}}\ifPositiveGradient\let\mv\raise
\def\CD at oJ{\CD at vF{#5}}\def\CD at iD{\CD at vF{#4}}\def\CD at jD{\CD at vF{#2}}\def\CD at LE{%
\CD at vF{#1}}\else\let\mv\lower\def\CD at oJ{\CD at vF{#1}}\def\CD at iD{\CD at vF{#2}}\def
\CD at jD{\CD at vF{#4}}\def\CD at LE{\CD at vF{#5}}\fi\CD at tD}\def\CD at aE{-}\def\CD at AD{%
\empty}\def\CD at SH{\CD at EG\CD at bE\CD at aE\@fillh}\def\CD at VH{\CD at EG\CD at MK\CD at KK
\@fillv}\def\CD at EG#1#2#3#4#5{\def\CD at CH{#5}\ifx\CD at CH#2\let#4#3\else\let#4%
\null\ifx\CD at CH\empty\else\ifx\CD at CH\CD at AD\else\let#4\CD at CH\fi\fi\fi}\def
\CD at UH#1{\hbox{\mathsurround\z@\offinterlineskip\def\CD at CH{#1}\ifx\CD at CH
\empty\else\ifx\CD at CH\CD at AD\else\CD at k\mkern-1.5mu{\CD at CH}\mkern-1.5mu\CD at ND
\fi\fi}}\def\CD at yD#1#2{\setbox#1=\hbox\bgroup\setbox0=\hbox{\CD at k\labelstyle(%
)\CD at ND}%% ASCII round brackets
\setbox1=\null\ht1\ht0\dp1\dp0\box1 \kern.1\CD at zC\CD at k\bgroup\labelstyle
\aftergroup\CD at LD\CD at xD}\def\CD at LD{\CD at ND\kern.1\CD at zC\egroup\CD at tD}\def
\CD at xD{\futurelet\CD at EH\CD at mJ}\def\CD at mJ{%% qualifiers on label arguments
\catcase\bgroup:\CD at v;\catcase\egroup:\missing at label;\catcase\space:\CD at TF;%
\tokcase[:\CD at XF;%%]%ascii close square bracket 
\default:\CD at zJ;\endswitch}\def\CD at v{\let\CD at MD\CD at c\let\CD at CH}\def\CD at zJ#1{%
\let\CD at UF\egroup{\let\actually at braces@missing at around@macro at in@label\CD at ZH
\let\CD at MD\CD at xC\let\CD at UF\CD at VF#1%
\actually at braces@missing at around@macro at in@label}\CD at UF}\def
\actually at braces@missing at around@macro at in@label{\let\CD at CH=}\def\missing at label
{\egroup\CD at YA{missing label}\CD at PE}\def\CD at xC{\egroup\missing at label}\outer
\def\CD at ZH{}\def\CD at UF{}\def\CD at VF{\CD at wC\CD at UF}\def\CD at MD{}\def\CD at XF{\let
\CD at N\CD at xD\get at square@arg\CD at AE}\CD at rG\CD at PE{The text which has just been
read is not allowed within map labels.}\def\CD at c{\egroup\CD at YA{missing \CD at yC
\space inserted after label}\CD at PE}\def\upper at label{\CD at oD\CD at yD6}\def
\lower at label{\def\positional@{\CD@@A\break at args}\CD at yD7}\def\middle at label{%
\CD at yD3}\CD at tG\CD at yE\CD at pD\CD at oD\def\CD at iF{\ifPositiveGradient\CD at tJ
\expandafter\upper at label\else\expandafter\lower at label\fi}\def\CD at iI{%
\ifPositiveGradient\CD at tJ\expandafter\lower at label\else\expandafter
\upper at label\fi}\CD at ZA\CD at QH{labels as positional arguments are obsolete}\def
\positional@{\CD at QH\CD at yE\CD at tJ\expandafter\upper at label\else\expandafter
\lower at label\fi-}\def\CD at tD{\futurelet\CD at EH\switch at arg}\def\eat at space{%
\afterassignment\CD at tD\let\CD at EH= }\def\CD at TF{\afterassignment\CD at xD\let
\CD at EH= }\def\CD at BC{\get at round@pair\CD at uD}\def\CD at uD#1#2{\def\CD at WK{#1}\def
\CD at aK{#2}\CD at tD}\def\optional@{\let\CD at N\CD at tD\get at square@arg\CD at AE}\def
\CD at JJ.{\CD at sC\CD at tD}\def\CD at sC{\let\CD at iD\fill at dot\let\CD at jD\fill at dot\def
\CD at MI{\let\CD at iD\dfdot\let\CD at jD\dfdot}}\def\CD at MI{}\def\CD@@E#1,{\CD at nH#1,%
\begingroup\ifx\@name\CD at RD\CD at FF\aftergroup\CD at e\fi\aftergroup\CD at jC\else
\expandafter\def\expandafter\CD at RF\expandafter{\csname\@name\endcsname}%
\expandafter\CD at vD\CD at RF\CD at KD\ifx\CD at RF\empty\aftergroup\CD at pC\expandafter
\aftergroup\csname\CD at FB\@name\endcsname\expandafter\aftergroup\csname\CD at FB @%
\@name\endcsname\else\gdef\CD at GE{#1}\CD at gB{\string\relax\space inserted before
`[\CD at GE'}\message{(I was trying to read this as a \CD at tA\ option.)}%
\aftergroup\CD at H\fi\fi\endgroup}\def\CD at vD#1#2\CD at KD{\def\CD at RF{#2}}\def
\CD at jC{\let\CD at CH\CD at N\let\CD at N\relax\CD at CH}\def\CD at H#1],{%
%% ASCII close square bracket
\CD at jC\relax\def\CD at RF{#1}\ifx\CD at RF\empty\def\CD at RF{[\CD at GE]}%
%% ASCII open and close square bracket
\else\def\CD at RF{[\CD at GE,#1]}%% ASCII open and close square bracket
\fi\CD at RF}\def\CD at pC#1#2{\ifx#2\undefined\ifx#1\undefined\CD at gB{option `%
\@name' undefined}\else#1\fi\else\CD at FF\expandafter#2\CD at GK\CD at PK\else\CD at QK
\fi\fi\CD at DH}\CD at tG\CD at FF\CD at QK\CD at PK\def\CD at nH#1,{\CD at FF\ifx\CD at GK\undefined
\CD at e\else\expandafter\CD at oH\CD at GK,#1,(,),(,)[]%
%%ASCII 5commas two pairs round, pair square
\fi\fi\CD at FF\else\CD at mH#1==,\fi}\def\CD at e{\CD at gB{option `\@name' needs (x,y)
value}\CD at PK\let\@name\empty}\def\CD at mH#1=#2=#3,{\def\@name{#1}\def\CD at GK{#2}%
\def\CD at RF{#3}\ifx\CD at RF\empty\let\CD at GK\undefined\fi}%
%% ASCII 2commas 2pair round, pair square on next line
\def\CD at oH#1(#2,#3)#4,(#5,#6)#7[]{\def\CD at GK{{#2}{#3}}\def\CD at RF{#1#4#5#6}%
\ifx\CD at RF\empty\def\CD at RF{#7}\ifx\CD at RF\empty\CD at e\fi\else\CD at e\fi}\def
\CD at FB{cds@}\let\CD at N\relax\def\CD at zD#1{\ifx\CD at GK\undefined\CD at gB{option `%
\@name' needs a value}\else#1\CD at GK\relax\fi}\def\CD at BE#1#2{\ifx\CD at GK
\undefined#1#2\relax\else#1\CD at GK\relax\fi}\def\cds@@showpair#1#2{\message{x=%
#1,y=#2}}\def\cds@@diagonalbase#1#2{\edef\CD at ZK{#1}\edef\CD at bK{#2}}\def\CD at DI
#1{\CD at nF{@x}{cdps@#1}\ifx\@x\relax\CD at f{unknown}\else\ifx\@x\empty\CD at f{%
cannot be used}\else\let\CD at IK\@x\fi\fi}\def\CD at f#1{\CD at gB{PostScript
translator `\CD at GK' #1}\CD at ZB\let\cds at PS\empty\let\cds at noPS\empty}\def\CD at PH{%
}\def\CD at PJ{\CD at fA\edef\CD at PH{\noexpand\CD at KB{\@name\space ignored within
maths}}}\def\diagramstyle{\CD at cJ\let\CD at N\relax\CD at CF\CD at AE\CD at AE}\let
\diagramsstyle\diagramstyle\CD at tG\CD at sE\CD at SB\CD at RB\CD at tG\CD at qE\CD at EB\CD at DB
\CD at tG\CD at oE\CD at pA\CD at oA\CD at tG\CD at iE\CD at HA\CD at GA\CD at HA\CD at tG\CD at jE\CD at JA
\CD at IA\CD at tG\CD at kE\CD at LA\CD at KA\CD at tG\CD at vE\CD at aB\CD at ZB\CD at tG\CD at EF\CD at DK
\CD at CK\CD at tG\CD at rE\CD at JB\CD at IB\CD at tG\CD at mE\CD at gA\CD at fA\CD at tG\CD at nE\CD at kA
\CD at jA\CD at tG\CD at AF\CD at iG\CD at hG\CD at RC{cds@ }{}\CD at RC{cds@}{}\CD at RC{cds at 1em}{%
\CellSize1\CD at zC}\CD at RC{cds at 1.5em}{\CellSize1.5\CD at zC}\CD at RC{cds at 2em}{%
\CellSize2\CD at zC}\CD at RC{cds at 2.5em}{\CellSize2.5\CD at zC}\CD at RC{cds at 3em}{%
\CellSize3\CD at zC}\CD at RC{cds at 3.5em}{\CellSize3.5\CD at zC}\CD at RC{cds at 4em}{%
\CellSize4\CD at zC}\CD at RC{cds at 4.5em}{\CellSize4.5\CD at zC}\CD at RC{cds at 5em}{%
\CellSize5\CD at zC}\CD at RC{cds at 6em}{\CellSize6\CD at zC}\CD at RC{cds at 7em}{\CellSize7%
\CD at zC}\CD at RC{cds at 8em}{\CellSize8\CD at zC}\def\cds at abut{\MapsAbut\dimen1\z@
\dimen5\z@}\def\cds at alignlabels{\CD at IA\CD at KA}\def\cds at amstex{\ifincommdiag
\CD at O\else\def\CD{\diagram[amstex]}%%ascii square brackets []
\fi\CD at T\catcode\lq\@\active}\def\cds at b{\let\CD at dB\CD at bB}\def\cds at balance{%
\let\CD at hA\CD at AA}\let\cds at bottom\cds at b\def\cds at center{\cds at vcentre
\cds at nobalance}\let\cds at centre\cds at center\def\cds at centerdisplay{\CD at HA\CD at PJ
\cds at balance}\let\cds at centredisplay\cds at centerdisplay\def\cds at crab{\CD at BE
\CD at DC{.5\PileSpacing}}\CD at RC{cds at crab-}{\CD at DC-.5\PileSpacing}\CD at RC{%
cds at crab+}{\CD at DC.5\PileSpacing}\CD at RC{cds at crab++}{\CD at DC1.5\PileSpacing}%
\CD at RC{cds at crab--}{\CD at DC-1.5\PileSpacing}\def\cds at defaultsize{\CD at BE{\let
\CD at QC}{3em}\CD at NJ}\def\cds at displayoneliner{\CD at DB}\let\cds at dotted\CD at sC\def
\cds at dpi{\CD at RJ{1truein}}\def\cds at dpm{\CD at RJ{100truecm}}\let\CD at XA\undefined
\def\cds at eqno{\let\CD at XA\CD at GK\let\CD at EJ\empty}\def\cds at fixed{\CD at qA}\CD at tG
\CD at fE\CD at J\CD at I\def\cds at flushleft{\CD at I\CD at GA\CD at PJ\cds at nobalance\CD at BE
\CD at nA\CD at nA}\def\cds at gap{\CD at AJ\setbox3=\null\ht3=\CD at tI\dp3=\CD at sI\CD at BE{%
\wd3=}\MapShortFall} \def\cds at grid{\ifx\CD at GK\undefined\let\h at grid\relax\let
\v at grid\relax\else\CD at nF{h at grid}{cdgh@\CD at GK}\CD at nF{v at grid}{cdgv@\CD at GK}\ifx
\h at grid\relax\CD at gB{unknown grid `\CD at GK'}\else\CD at WB\fi\fi}\let\h at grid\relax
\let\v at grid\relax\def\cds at gridx{\ifx\CD at GK\undefined\else\cds at grid\fi\let
\CD at CH\h at grid\let\h at grid\v at grid\let\v at grid\CD at CH}\def\cds at h{\CD at zD
\DiagramCellHeight}\def\cds at hcenter{\let\CD at hA\CD at aA}\let\cds at hcentre
\cds at hcenter\def\cds at heads{\CD at BE{\let\CD at sJ}\CD at sJ\CD@@J\CD at vE\else\ifx
\CD at sJ\CD at eF\else\CD at MC\fi\fi}\let\cds at height\cds at h\let\cds at hmiddle
\cds at balance\def\cds at htriangleheight{\CD at BE\DiagramCellHeight
\DiagramCellHeight\DiagramCellWidth1.73205\DiagramCellHeight}\def
\cds at htrianglewidth{\CD at BE\DiagramCellWidth\DiagramCellWidth
\DiagramCellHeight.57735\DiagramCellWidth}\CD at tG\CD at zE\CD at eE\CD at dE\CD at eE\def
\cds at hug{\CD at eE} \def\cds at inline{\CD at gA\let\CD at PH\empty}\def
\cds at inlineoneliner{\CD at EB}\CD at RC{cds at l>}{\CD at zD{\let\CD at RG}\dimen2=\CD at RG}%
\def\cds at labelstyle{\CD at zD{\let\labelstyle}}\def\cds at landscape{\CD at kA}\def
\cds at large{\CellSize5\CD at zC}\let\CD at EJ\empty\def\CD at FJ{\refstepcounter{%
equation}\def\CD at XA{\hbox{\@eqnnum}}}\def\cds at LaTeXeqno{\let\CD at EJ\CD at FJ}\def
\cds at lefteqno{\CD at pA}\def\cds at leftflush{\cds at flushleft\CD at J}\def
\cds at leftshortfall{\CD at zD{\dimen1 }}\def\cds at lowershortfall{%
\ifPositiveGradient\cds at leftshortfall\else\cds at rightshortfall\fi}\def
\cds at loose{\CD at VB}\def\cds at midhshaft{\CD at JA}\def\cds at midshaft{\CD at JA}\def
\cds at midvshaft{\CD at LA}\def\cds at moreoptions{\CD@@A}\let\cds at nobalance
\cds at hcenter\def\cds at nohcheck{\CD at HH}\def\cds at nohug{\CD at dE} \def
\cds at nooptions{\def\CD at aC{\CD at WD}}\let\cds at noorigin\cds at nobalance\def
\cds at nopixel{\CD@@I4\CD at XH\CD at cJ}\def\cds at noPostScript{\global\let\CD at n\empty
\CD at BE\CD at DI\empty\CD at ZB\let\cds at PS\empty\let\cds at noPS\empty}\def\cds at noPS{%
\CD at ZB\global\let\CD at n\empty}\def\cds at notextflow{\CD at RB}\def\cds at noTPIC{%
\CD at CK}\def\cds at objectstyle{\CD at zD{\let\objectstyle}}\def\cds at origin{\let
\CD at hA\CD at iB}\def\cds at p{\CD at zD\PileSpacing}\let\cds at pilespacing\cds at p\def
\cds at pixelsize{\CD at zD\CD@@I\CD at gI}\def\cds at portrait{\CD at jA}\def
\cds at PostScript{\CD at aB\global\let\CD at n\empty\let\cds at PS\CD at aB\let\cds at noPS
\CD at ZB\CD at BE\CD at DI\empty}\def\cds at PS{\CD at aB\global\let\CD at n\empty}\CD at GF\CD at n
{\typeout{\CD at tA: try the PostScript option for better results}}\def
\cds at repositionpullbacks{\let\make at pbk\CD at fH\let\CD at qH\CD at pH}\def
\cds at righteqno{\CD at oA}\def\cds at rightshortfall{\CD at zD{\dimen5 }}\def
\cds at ruleaxis{\CD at zD{\let\axisheight}}\def\cds at cmex{\let\CD at GG\CD at sB\let
\CD at QJ\CD at CJ}\def\cds at s{\cds at height\DiagramCellWidth\DiagramCellHeight}\def
\cds at scriptlabels{\let\labelstyle\scriptstyle}\def\cds at shortfall{\CD at zD
\MapShortFall\dimen1\MapShortFall\dimen5\MapShortFall}\def\cds at showfirstpass{%
\CD at BE{\let\CD at nD}\z@}\def\cds at silent{\def\CD at KB##1{}\def\CD at gB##1{}}\let
\cds at size\cds at s\def\cds at small{\CellSize2\CD at zC}\def\cds at snake{\CD at BE\CD at eJ\z@
}\def\cds at t{\let\CD at dB\CD at fB}\def\cds at textflow{\CD at SB\CD at PJ}\def\cds at thick{%
\let\CD at rF\tenlnw\CD at LF\CD at NC\CD at BE\MapBreadth{2\CD at LF}\CD@@J}\def\cds at thin{%
\let\CD at rF\tenln\CD at BE\MapBreadth{\CD at NC}\CD@@J}\def\cds at tight{\CD at WB}\let
\cds at top\cds at t\def\cds at TPIC{\CD at DK}\def\cds at uppershortfall{%
\ifPositiveGradient\cds at rightshortfall\else\cds at leftshortfall\fi}\def
\cds at vcenter{\let\CD at dB\CD at cB}\let\cds at vcentre\cds at vcenter\def
\cds at vtriangleheight{\CD at BE\DiagramCellHeight\DiagramCellHeight
\DiagramCellWidth.577035\DiagramCellHeight}\def\cds at vtrianglewidth{\CD at BE
\DiagramCellWidth\DiagramCellWidth\DiagramCellHeight1.73205\DiagramCellWidth}%
\def\cds at vmiddle{\let\CD at dB\CD at eB}\def\cds at w{\CD at zD\DiagramCellWidth}\let
\cds at width\cds at w\def\diagram{\relax\protect\CD at bC}\def\enddiagram{\protect
\CD at SG}\def\CD at bC{\CD at g\CD at uI\incommdiagtrue\edef\CD at wI{\the\CD at NB}\global
\CD at NB\z@\boxmaxdepth\maxdimen\everycr{}\CD at aC}\def\CD at aC{\CD at y\let\CD at N
\CD at ZC\CD at CF\CD at AE\CD at WD}\def\CD at ZC{\CD at gE\expandafter\CD at aC\else\expandafter
\CD at WD\fi}\def\CD at WD{\let\CD at EH\relax\CD at nE\CD at vE\else\CD at KB{landscape ignored
without PostScript}\CD at jA\fi\fi\CD at EJ\setbox2=\vbox\bgroup\CD at JF\CD at VD}\def
\CD at cH{\CD at nE\CD at fB\else\CD at dB\fi\CD at hA\nointerlineskip\setbox0=\null\ht0-%
\CD at pI\dp0\CD at pI\wd0\CD at kI\box0 \global\CD at QA\CD at kF\global\CD at yA\CD at XB\ifx
\CD at NK\undefined\global\CD at RA\CD at kF\else\global\CD at RA\CD at NK\fi\egroup\CD at zF
\CD at nE\setbox2=\hbox to\dp2{\dp2=\CD at QA\global\CD at QA\ht2\ht2\wd2\global\CD at iG
\CD at IK{0 1 bturn}\box2\CD at IK{eturn}\hss}\CD at DB\fi\ifnum\CD at yA=1 \else\CD at DB
\fi\global\@ignorefalse\CD at mE\leavevmode\fi\ifvmode\CD at TA\else\ifmmode\CD at PH
\CD at GI\else\CD at qE\CD at gA\fi\ifinner\CD at gA\fi\CD at mE\CD at GI\else\CD at sE\CD at QB\else
\CD at TA\fi\fi\fi\fi\CD at dD}\def\CD at dD{\global\CD at NB\CD at wI\relax\CD at xE\global
\CD at ID\else\aftergroup\CD at mC\fi\if at ignore\aftergroup\ignorespaces\fi\CD at wC
\ignorespaces}\def\CD at fB{\advance\CD at pI\dimen1\relax}\def\CD at eB{\advance
\CD at pI.5\dimen1\relax}\def\CD at bB{}\def\CD at cB{\CD at fB\advance\CD at pI\CD at YB
\divide\CD at pI2 \advance\CD at pI-\axisheight\relax}\def\CD at aA{}\def\CD at iB{\CD at kF
\z@}\def\CD at AA{\ifdim\dimen2>\CD at kF\CD at kF\dimen2 \else\dimen2\CD at kF\CD at kI
\dimen0 \advance\CD at kI\dimen2 \fi}\def\CD at QB{\skip0\z@\relax\loop\skip1%
\lastskip\ifdim\skip1>\z@\unskip\advance\skip0\skip1 \repeat\vadjust{%
\prevdepth\dp\strutbox\penalty\predisplaypenalty\vskip\abovedisplayskip\CD at UA
\penalty\postdisplaypenalty\vskip\belowdisplayskip}\ifdim\skip0=\z@\else
\hskip\skip0 \global\@ignoretrue\fi}\def\CD at TA{\CD at LG\kern-\displayindent
\CD at UA\CD at LG\global\@ignoretrue}\def\CD at UA{\hbox to\hsize{\CD at fE\ifdim\CD at RA=%
\z@\else\advance\CD at QA-\CD at RA\setbox2=\hbox{\kern\CD at RA\box2}\fi\fi\setbox1=%
\hbox{\ifx\CD at XA\undefined\else\CD at k\CD at XA\CD at ND\fi}\CD at oE\CD at iE\else\advance
\CD at QA\wd1 \fi\wd1\z@\box1 \fi\dimen0\wd2 \advance\dimen0\wd1 \advance\dimen0%
-\hsize\ifdim\dimen0>-\CD at nA\CD at HA\fi\advance\dimen0\CD at QA\ifdim\dimen0>\z@
\CD at KB{wider than the page by \the\dimen0 }\CD at HA\fi\CD at iE\hss\else\CD at V
\CD at QA\CD at nA\fi\CD at GI\hss\kern-\wd1\box1 }}\def\CD at GI{\CD at AF\CD@@F\else\CD at SC
\global\CD at hG\fi\fi\kern\CD at QA\box2 }\CD at tG\CD at wE\CD at YC\CD at XC\def\CD at JF{%
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\advance\CD at PA.99\CD at zC\count@\CD at PA\divide\count@\CD at zC\CD at KB{increase cell #%
3 to \the\count@ em}\fi}\def\CD at rI{\CD at FA=\CD at LB\penalty4 \noindent\unhbox
\CD at NB\CD at sF\unskip\setbox0=\lastbox\ifhbox0 \advance\CD at FA\m at ne\setbox\CD at FA
\hbox to\wd0{\null\penalty-9990\null\unhbox0}\repeat\CD at lA\CD at FA\advance
\CD at FA\CD at MB\advance\CD at FA-\CD at mA\ifnum\CD at FA<\CD at LB\count@\CD at FA\advance
\count@\m at ne\dimen0=\wd\count@\count@\CD at MB\advance\count@\m at ne\CD at tB\wd
\count@\CD at sF\ifnum\CD at FA<\CD at LB\CD at DJ\CD at XG\dimen0\wd\CD at FA\advance\CD at FA1
\repeat\fi\CD at sF\CD at GB\lastpenalty\unpenalty\ifnum\CD at GB>\z@\CD at vA
\lastpenalty\unpenalty\CD at VG\repeat\endgraf\unskip\ifnum\lastpenalty=4
\unpenalty\else\cd at shouldnt S\fi}\def\CD at VG{\advance\CD at vA\CD at lA\advance
\CD at vA\m at ne\setbox0=\lastbox\ifnum\CD at vA<\CD at LB\setbox\CD at vA\hbox{\box0%
\penalty\CD at GB\unhbox\CD at vA}\else\CD at UG\fi}\def\CD at bG{}\CD at tG\CD at uE\CD at WB
\CD at VB\def\CD at DJ{\advance\dimen0\wd\CD at FA\divide\dimen0\tw@\CD at uE\dimen0%
\DiagramCellWidth\else\CD at V{\dimen0}\DiagramCellWidth\CD at pJ\fi\advance\CD at tB
\dimen0 }\def\CD at XG{\setbox\CD at MB=\vbox{}\dp\CD at MB=\CD at uB\wd\CD at MB\CD at tB
\advance\CD at MB1 }\def\CD at LJ#1,{\def\CD at GK{#1}\ifx\CD at GK\CD at RD\else\advance
\CD at tB\CD at GK\DiagramCellWidth\CD at XG\expandafter\CD at LJ\fi}\def\CD at VJ#1,{\def
\CD at GK{#1}\ifx\CD at GK\CD at RD\else\ifnum\CD at NB>\CD at CA\CD at NF\CD at GK
\DiagramCellHeight\advance\CD at NF-\dp\CD at NB\advance\CD at NB\m at ne\ht\CD at NB\CD at NF
\fi\expandafter\CD at VJ\fi}\def\CD at pJ{\CD at wE\CD at OA\dimen0 \advance\CD at OA-%
\DiagramCellWidth\ifdim\CD at OA>2\MapShortFall\CD at KB{badly drawn diagonals (see
manual)}\let\CD at pJ\empty\fi\else\let\CD at pJ\empty\fi}\def\CD at KC{\CD at VA\CD at mA
\CD at sF\ifnum\CD at VA<\CD at MB\dimen0\dp\CD at VA\advance\dimen0\CD at NF\dp\CD at VA\dimen
0 \advance\CD at VA1 \repeat}\def\CD at bH#1#2#3#4{\ifnum\CD at FA<\CD at LB\CD at OA=#1%
\relax\setbox\CD at FA=\hbox{\setbox0=#2\dimen7=#4\relax\dimen8=#3\relax\ifhbox
\CD at FA\unhbox\CD at FA\advance\CD at OA-\lastkern\unkern\fi\ifdim\CD at OA=\z@\else
\kern-\CD at OA\fi\raise\dimen7\box0 \kern-\dimen8 }\ifnum\CD at FA=\CD at lA\CD at V
\CD at kF\CD at OA\fi\else\cd at shouldnt O\fi}\def\CD at w{\setbox\CD at NB=\hbox{\CD at FA
\CD at lA\CD at VA\CD at mA\CD at PA\z@\relax\CD at sF\ifnum\CD at FA<\CD at LB\CD at tB\wd\CD at VA
\relax\CD at eI\advance\CD at FA1 \advance\CD at VA1 \repeat}\CD at V\CD at kI{\wd\CD at NB}\wd
\CD at NB\z@}\def\CD at eI{\ifhbox\CD at FA\CD at OA\CD at tB\relax\advance\CD at OA-\CD at PA
\relax\ifdim\CD at OA=\z@\else\kern\CD at OA\fi\CD at PA\CD at tB\advance\CD at PA\wd\CD at FA
\relax\unhbox\CD at FA\advance\CD at PA-\lastkern\unkern\fi}\def\CD at ZI{\setbox
\CD at sH=\box\voidb at x\CD at VA=\CD at MB\CD at FA\CD at LB\CD at VA\CD at mA\advance\CD at VA\CD at FA
\advance\CD at VA-\CD at lA\advance\CD at VA\m at ne\CD at tB\wd\CD at VA\count@\CD at LB\advance
\count@\m at ne\CD at hF.5\wd\count@\advance\CD at hF\CD at tB\CD at A\m at ne\CD at gD\@m\CD at sF
\ifnum\CD at FA>\CD at lA\advance\CD at FA\m at ne\advance\CD at hF-\CD at tB\CD at PI\wd\CD at VA
\CD at tB\advance\CD at hF\CD at tB\advance\CD at VA\m at ne\CD at tB\wd\CD at VA\repeat\CD at mF
\CD at kF\CD at mI-\CD at mF\CD at vB}\newcount\CD at GB\def\CD at s{}\def\CD at t{\mathsurround
\z@\hsize\z@\rightskip\z@ plus1fil minus\maxdimen\parfillskip\z@\linepenalty
9000 \looseness0 \hfuzz\maxdimen\hbadness10000 \clubpenalty0 \widowpenalty0
\displaywidowpenalty0 \interlinepenalty0 \predisplaypenalty0
\postdisplaypenalty0 \interdisplaylinepenalty0 \interfootnotelinepenalty0
\floatingpenalty0 \brokenpenalty0 \everypar{}\leftskip\z@\parskip\z@
\parindent\z@\pretolerance10000 \tolerance10000 \hyphenpenalty10000
\exhyphenpenalty10000 \binoppenalty10000 \relpenalty10000 \adjdemerits0
\doublehyphendemerits0 \finalhyphendemerits0 \CD at IA\prevdepth\z@}\newbox
\CD at KG\newbox\CD at IG\def\CD at JG{\unhcopy\CD at KG}\def\CD at HG{\unhcopy\CD at IG}\def
\CD at iJ{\hbox{}\penalty1\nointerlineskip}\def\CD at PI{\penalty5 \noindent\setbox
\CD at MH=\null\CD at mF\z@\CD at mI\z@\ifnum\CD at FA<\CD at LB\ht\CD at MH\ht\CD at FA\dp\CD at MH
\dp\CD at FA\unhbox\CD at FA\skip0=\lastskip\unskip\else\CD at OK\skip0=\z@\fi\endgraf
\ifcase\prevgraf\cd at shouldnt Y \or\cd at shouldnt Z \or\CD at RI\or\CD at XI\else
\CD at QI\fi\unskip\setbox0=\lastbox\unskip\unskip\unpenalty\noindent\unhbox0%
\setbox0\lastbox\unpenalty\unskip\unskip\unpenalty\setbox0\lastbox\CD at tF
\CD at GB\lastpenalty\unpenalty\ifnum\CD at GB>\z@\setbox\z@\lastbox\CD at lB\repeat
\endgraf\unskip\unskip\unpenalty}\def\CD at YJ{\CD at uA\CD at XB\advance\CD at uA-\CD at NB
\CD at vA\CD at FA\advance\CD at vA-\CD at lA\advance\CD at vA1 \expandafter\message{%
prevgraf=\the\prevgraf at (\the\CD at uA,\the\CD at vA)}}\def\CD at XI{\CD at CE\setbox
\CD at lI=\lastbox\setbox\CD at lI=\hbox{\unhbox\CD at lI\unskip\unpenalty}\unskip
\ifdim\ht\CD at lI>\ht\CD at PC\setbox\CD at MH=\copy\CD at lI\else\ifdim\dp\CD at lI>\dp
\CD at PC\setbox\CD at MH=\copy\CD at lI\else\CD at FG\CD at lI\fi\fi\advance\CD at mF.5\wd
\CD at lI\advance\CD at mI.5\wd\CD at lI\setbox\CD at lI=\hbox{\unhbox\CD at lI\CD at HG}\CD at bH
\CD at mF{\box\CD at lI}\CD at mI\z@\CD at yB\CD at vB}\def\CD at CE{\ifnum\CD at A>0 \advance
\dimen0-\CD at tB\CD at iA-.5\dimen0 \CD at A-\CD at A\else\CD at A0 \CD at iA\z@\fi\setbox
\CD at MH=\lastbox\setbox\CD at MH=\hbox{\unhbox\CD at MH\unskip\unskip\unpenalty
\setbox0=\lastbox\global\CD at QA\lastkern\unkern}\advance\CD at iA-.5\CD at QA\unskip
\setbox\CD at MH=\null\CD at mI\CD at iA\CD at mF-\CD at iA}\def\CD at Z{\ht\CD at MH\CD at tI\dp
\CD at MH\CD at sI}\def\CD at FG#1{\setbox\CD at MH=\hbox{\CD at V{\ht\CD at MH}{\ht#1}\CD at V{%
\dp\CD at MH}{\dp#1}\CD at V{\wd\CD at MH}{\wd#1}\vrule height\ht\CD at MH depth\dp\CD at MH
width\wd\CD at MH}}\def\CD at QI{\CD at CE\CD at Z\setbox\CD at lI=\lastbox\unskip\setbox
\CD at lF=\lastbox\unskip\setbox\CD at lF=\hbox{\unhbox\CD at lF\unskip\global\CD at yA
\lastpenalty\unpenalty}\advance\CD at yA9999 \ifcase\CD at yA\CD at VI\or\CD at YI\or
\CD at TI\or\CD at dI\or\CD at cI\or\CD at SI\else\cd at shouldnt9\fi}\def\CD at VI{\CD at FG
\CD at lI\CD at UI\setbox\CD at sH=\box\CD at lF\setbox\CD at tH=\box\CD at lI}\def\CD at YI{%
\CD at FG\CD at lF\setbox\CD at lI\hbox{\penalty8 \unhbox\CD at lI\unskip\unpenalty\ifnum
\lastpenalty=8 \else\CD at xH\fi}\CD at UI\setbox\CD at lF=\hbox{\unhbox\CD at lF\unskip
\unpenalty\global\setbox\CD at DA=\lastbox}\ifdim\wd\CD at lF=\z@\else\CD at xH\fi
\setbox\CD at sH=\box\CD at DA}\def\CD at xH{\CD at KB{extra material in \string\pile
\space cell (lost)}}\def\CD at UI{\CD at yB\ifvoid\CD at sH\else\CD at KB{Clashing
horizontal arrows}\CD at mI.5\CD at hF\CD at mF-\CD at mI\CD at vB\CD at mI\z@\CD at mF\z@\fi
\CD at hI\CD at hF\advance\CD at hI-\CD at mI\CD at hF-\CD at mF\CD at JC\CD at FA}\def\CD at RI{\setbox
0\lastbox\unskip\CD at iA\z@\CD at Z\ifdim\skip0>\z@\CD at tJ\CD at A0 \else\ifnum\CD at A<1
\CD at A0 \dimen0\CD at tB\fi\advance\CD at A1 \fi}\def\VonH{\CD at MA46\VonH{.5\CD at LF}}%
\def\HonV{\CD at MA57\HonV{.5\CD at LF}}\def\HmeetV{\CD at MA44\HmeetV{-\MapShortFall}%
}\def\CD at MA#1#2#3#4{\CD at pB34#1{\string#3}\CD at SD\CD at GB-999#2 \dimen0=#4\CD at tI
\dimen0\advance\CD at tI\axisheight\CD at sI\dimen0\advance\CD at sI-\axisheight\CD at CF
\CD at HC\CD at ZD}\def\CD at HC#1{\setbox0=\hbox{\CD at k#1\CD at ND}\dimen0.5\wd0 \CD at tI
\ht0 \CD at sI\dp0 \CD at ZD}\def\CD at SD{\setbox0=\null\ht0=\CD at tI\dp0=\CD at sI\wd0=%
\dimen0 \copy0\penalty\CD at GB\box0 }\def\CD at TI{\CD at GC\CD at yB}\def\CD at dI{\CD at GC
\CD at vB}\def\CD at SI{\CD at GC\CD at yB\CD at vB}\def\CD at GC{\setbox\CD at lI=\hbox{\unhbox
\CD at lI}\setbox\CD at lF=\hbox{\unhbox\CD at lF\global\setbox\CD at DA=\lastbox}\ht
\CD at MH\ht\CD at DA\dp\CD at MH\dp\CD at DA\advance\CD at mF\wd\CD at DA\advance\CD at mI\wd
\CD at lI}\CD at tG\ifPositiveGradient\CD at CI\CD at BI\CD at CI\CD at tG\ifClimbing\CD at rB
\CD at qB\CD at rB\newcount\DiagonalChoice\DiagonalChoice\m at ne\ifx\tenln\nullfont
\CD at tJ\def\CD at qF{\CD at KH\ifPositiveGradient/\else\CD at k\backslash\CD at ND\fi}%
\else\def\CD at qF{\CD at rF\char\count@}\fi\let\CD at rF\tenln\def\Use at line@char#1{%
\hbox{#1\CD at rF\ifPositiveGradient\else\advance\count at 64 \fi\char\count@}}\def
\CD at cF{\Use at line@char{\count@\CD at TC\multiply\count at 8\advance\count at -9\advance
\count@\CD at LH}}\def\CD at ZF{\Use at line@char{\ifcase\DiagonalChoice\CD at gF\or
\CD at fF\or\CD at fF\else\CD at gF\fi}}\def\CD at gF{\ifnum\CD at TC=\z@\count@\rq33 \else
\count@\CD at TC\multiply\count@\sixt@@n\advance\count at -9\advance\count@\CD at LH
\advance\count@\CD at LH\fi}\def\CD at fF{\count@\rq\ifcase\CD at LH55\or\ifcase\CD at TC
66\or22\or52\or61\or72\fi\or\ifcase\CD at TC66\or25\or22\or63\or52\fi\or\ifcase
\CD at TC66\or16\or36\or22\or76\fi\or\ifcase\CD at TC66\or27\or25\or67\or22\fi\fi
\relax}\def\CD at uC#1{\hbox{#1\setbox0=\Use at line@char{#1}\ifPositiveGradient
\else\raise.3\ht0\fi\copy0 \kern-.7\wd0 \ifPositiveGradient\raise.3\ht0\fi
\box0}}\def\CD at jF#1{\hbox{\setbox0=#1\kern-.75\wd0 \vbox to.25\ht0{%
\ifPositiveGradient\else\vss\fi\box0 \ifPositiveGradient\vss\fi}}}\def\CD at jI#%
1{\hbox{\setbox0=#1\dimen0=\wd0 \vbox to.25\ht0{\ifPositiveGradient\vss\fi
\box0 \ifPositiveGradient\else\vss\fi}\kern-.75\dimen0 }}\CD at RC{+h:>}{%
\Use at line@char\CD at fF}\CD at RC{-h:>}{\Use at line@char\CD at gF}\CD at nF{+t:<}{-h:>}%
\CD at nF{-t:<}{+h:>}\CD at RC{+t:>}{\CD at jF{\Use at line@char\CD at fF}}\CD at RC{-t:>}{%
\CD at jI{\Use at line@char\CD at gF}}\CD at nF{+h:<}{-t:>}\CD at nF{-h:<}{+t:>}\CD at RC{+h:>>%
}{\CD at uC\CD at fF}\CD at RC{-h:>>}{\CD at uC\CD at gF}\CD at nF{+t:<<}{-h:>>}\CD at nF{-t:<<}{+%
h:>>}\CD at nF{+h:>->}{+h:>>}\CD at nF{-h:>->}{-h:>>}\CD at nF{+t:<-<}{-h:>>}\CD at nF{-t%
:<-<}{+h:>>}\CD at RC{+t:>>}{\CD at jF{\CD at uC\CD at fF}}\CD at RC{-t:>>}{\CD at jI{\CD at uC
\CD at gF}}\CD at nF{+h:<<}{-t:>>}\CD at nF{-h:<<}{+t:>>}\CD at nF{+t:>->}{+t:>>}\CD at nF{-%
t:>->}{-t:>>}\CD at nF{+h:<-<}{-t:>>}\CD at nF{-h:<-<}{+t:>>}\CD at RC{+f:-}{\CD at EF
\null\else\CD at cF\fi}\CD at nF{-f:-}{+f:-}\def\CD at tC#1#2{\vbox to#1{\vss\hbox to#%
2{\hss.\hss}\vss}}\def\hfdot{\CD at tC{2\axisheight}{.5em}}%
%% % .7em until 29.7.98
\def\vfdot{\CD at tC{1ex}\z@}%% % 1.46ex until 29.7.98
\def\CD at bF{\hbox{\dimen0=.3\CD at zC\dimen1\dimen0 \ifnum\CD at LH>\CD at TC\CD at iC{%
\dimen1}\else\CD at dG{\dimen0}\fi\CD at tC{\dimen0}{\dimen1}}}\newarrowfiller{.}%
\hfdot\hfdot\vfdot\vfdot\def\dfdot{\CD at bF\CD at CK}\CD at RC{+f:.}{\dfdot}\CD at RC{-f%
:.}{\dfdot}\def\CD@@K#1{\hbox\bgroup\def\CD at CH{#1\egroup}\afterassignment
\CD at CH%%
\count@=\rq}\def\lnchar{\CD@@K\CD at qF}\let\laf\lnchar\let\lah\lnchar\def\lad{%
\CD@@K\xlad}\def\xlad{\setbox2=\hbox{\CD at qF}\setbox0=\hbox to.3\wd2{\hss.\hss
}\dimen0=\ht0 \advance\dimen0-\dp0 \dimen1=.3\ht2 \advance\dimen1-\dimen0 \dp
0=.5\dimen1 \dimen1=.3\ht2 \advance\dimen1\dimen0 \ht0=.5\dimen1 \raise\dp0%
\box0}\def\lahh{\CD@@K\xlahh}\def\lat{\CD@@K\xlat}\def\xlat{\setbox0=\hbox{%
\CD at qF}\dimen0=\ht0 \setbox1=\hbox to.25\wd0{\ifcase\DiagonalChoice\box0\hss
\or\hss\box0 \or\hss\box0 \or\box0\hss\fi}\vbox to.25\dimen0{\ifClimbing\box1%
\vss\else\vss\box1\fi\kern\z@}}\def\xlahh{\setbox0=\hbox{\CD at qF}%
\ifPositiveGradient\CD at tJ\copy0 \kern-.7\wd0 \mv.3\ht0\box0 \else\ifClimbing
\CD at tJ\copy0 \kern-.7\wd0 \mv.3\ht0\box0 \else\mv-.3\ht0\copy0 \kern-.7\wd0
\box0 \fi\fi}\def\CD at dF#1{\setbox#1=\hbox{\dimen5\dimen#1 \setbox8=\box#1
\dimen1\wd8 \count@\dimen5 \divide\count@\dimen1 \ifnum\count@=0 \box8 \ifdim
\dimen5<.95\dimen1 \CD at gB{diagonal line too short}\fi\else\dimen3=\dimen5
\advance\dimen3-\dimen1 \divide\dimen3\count@\dimen4\dimen3 \CD at dG{\dimen4}%
\ifPositiveGradient\multiply\dimen4\m at ne\fi\dimen6\dimen1 \advance\dimen6-%
\dimen3 \loop\raise\count@\dimen4\copy8 \ifnum\count@>0 \kern-\dimen6 \advance
\count@\m at ne\repeat\fi}}\def\CD at CG#1{\CD at EF\CD at xJ{#1}\else\CD at dF{#1}\fi}\def
\CD at IH#1{}\newdimen\objectheight\objectheight1.8ex \newdimen\objectwidth
\objectwidth1em \def\CD at YD{\dimen6=\CD at aK\DiagramCellHeight\dimen7=\CD at WK
\DiagramCellWidth\CD at KJ\ifnum\CD at LH>0 \ifnum\CD at TC>0 \CD at aF\else\aftergroup
\CD at VC\fi\else\aftergroup\CD at UC\fi}\def\CD at VC{\CD at YA{diagonal map is nearly
vertical}\CD at NA}\def\CD at UC{\CD at YA{diagonal map is nearly horizontal}\CD at NA}%
\CD at rG\CD at NA{Use an orthogonal map instead}\def\CD at aF{\CD at MJ\dimen3\dimen7%
\dimen7\dimen6\CD at iC{\dimen7}\advance\dimen3-\dimen7 \CD at MF\ifnum\CD at LH>%
\CD at TC\advance\dimen6-\dimen1\advance\dimen6-\dimen5 \CD at iC{\dimen1}\CD at iC{%
\dimen5}\else\dimen0\dimen1\advance\dimen0\dimen5\CD at dG{\dimen0}\advance
\dimen6-\dimen0 \fi\dimen2.5\dimen7\advance\dimen2-\dimen1 \dimen4.5\dimen7%
\advance\dimen4-\dimen5 \ifPositiveGradient\dimen0\dimen5 \advance\dimen1-%
\CD at WK\DiagramCellWidth\advance\dimen1 \CD at ZK\DiagramCellWidth\setbox6=\llap{%
\unhbox6\kern.1\ht2}\setbox7=\rlap{\kern.1\ht2\unhbox7}\else\dimen0\dimen1
\advance\dimen1-\CD at ZK\DiagramCellWidth\setbox7=\llap{\unhbox7\kern.1\ht2}%
\setbox6=\rlap{\kern.1\ht2\unhbox6}\fi\setbox6=\vbox{\box6\kern.1\wd2}\setbox
7=\vtop{\kern.1\wd2\box7}\CD at dG{\dimen0}\advance\dimen0-\axisheight\advance
\dimen0-\CD at bK\DiagramCellHeight\dimen5-\dimen0 \advance\dimen0\dimen6
\advance\dimen1.5\dimen3 \ifdim\wd3>\z@\ifdim\ht3>-\dp3\CD at TB\fi\fi\dimen3%
\dimen2 \dimen7\dimen2\advance\dimen7\dimen4 \ifvoid3 \else\CD at tE\else\dimen8%
\ht3\advance\dimen8-\axisheight\CD at iC{\dimen8}\CD at X{\dimen8}{.5\wd3}\dimen9%
\dp3\advance\dimen9\axisheight\CD at iC{\dimen9}\CD at X{\dimen9}{.5\wd3}%
\ifPositiveGradient\advance\dimen2-\dimen9\advance\dimen4-\dimen8 \else
\advance\dimen4-\dimen9\advance\dimen2-\dimen8 \fi\fi\advance\dimen3-.5\wd3
\fi\dimen9=\CD at aK\DiagramCellHeight\advance\dimen9-2\DiagramCellHeight\CD at tE
\advance\dimen2\dimen4 \CD at CG{2}\dimen2-\dimen0\advance\dimen2\dp2 \else
\CD at CG{2}\CD at CG{4}\ifPositiveGradient\dimen2-\dimen0\advance\dimen2\dp2 \dimen
4\dimen5\advance\dimen4-\ht4 \else\dimen4-\dimen0\advance\dimen4\dp4 \dimen2%
\dimen5\advance\dimen2-\ht2 \fi\fi\setbox0=\hbox to\z@{\kern\dimen1 \ifvoid1
\else\ifPositiveGradient\advance\dimen0-\dp1 \lower\dimen0 \else\advance
\dimen5-\ht1 \raise\dimen5 \fi\rlap{\unhbox1}\fi\raise\dimen2\rlap{\unhbox2}%
\ifvoid3 \else\lower.5\dimen9\rlap{\kern\dimen3\unhbox3}\fi\kern.5\dimen7
\lower.5\dimen9\box6 \lower.5\dimen9\box7 \kern.5\dimen7 \CD at tE\else\raise
\dimen4\llap{\unhbox4}\fi\ifvoid5 \else\ifPositiveGradient\advance\dimen5-\ht
5 \raise\dimen5 \else\advance\dimen0-\dp5 \lower\dimen0 \fi\llap{\unhbox5}\fi
\hss}\ht0=\axisheight\dp0=-\ht0\box0 }\def\NorthWest{\CD at BI\CD at rB
\DiagonalChoice0 }\def\NorthEast{\CD at CI\CD at rB\DiagonalChoice1 }\def\SouthWest
{\CD at CI\CD at qB\DiagonalChoice3 }\def\SouthEast{\CD at BI\CD at qB\DiagonalChoice2 }%
\def\CD at aD{\vadjust{\CD at uA\CD at FA\advance\CD at uA\ifPositiveGradient\else-\fi
\CD at ZK\relax\CD at vA\CD at NB\advance\CD at vA-\CD at bK\relax\hbox{\advance\CD at uA
\ifPositiveGradient-\fi\CD at WK\advance\CD at vA\CD at aK\hbox{\box6 \kern\CD at DC\kern
\CD at eJ\penalty1 \box7 \box\z@}\penalty\CD at uA\penalty\CD at vA}\penalty\CD at uA
\penalty\CD at vA\penalty104}}\def\CD at eH#1{\relax\vadjust{\hbox at maths{#1}%
\penalty\CD at FA\penalty\CD at NB\penalty\tw@}}\def\CD at lB{\ifcase\CD at GB\or\or
\CD at bH{.5\wd0}{\box0}{.5\wd0}\z@\or\unhbox\z@\setbox\z@\lastbox\CD at bH{.5\wd0}%
{\box0}{.5\wd0}\z@\unpenalty\unpenalty\setbox\z@\lastbox\or\CD at TG\else
\advance\CD at GB-100 \ifnum\CD at GB<\z@\cd at shouldnt B\fi\setbox\z@\hbox{\kern
\CD at mF\copy\CD at MH\kern\CD at mI\CD at uA\CD at XB\advance\CD at uA-\CD at NB\penalty\CD at uA
\CD at uA\CD at FA\advance\CD at uA-\CD at lA\penalty\CD at uA\unhbox\z@\global\CD at yA
\lastpenalty\unpenalty\global\CD at zA\lastpenalty\unpenalty}\CD at uA-\CD at yA\CD at vA
\CD at zA\CD at fI\fi}\def\CD at TG{\global\CD at iG\unhbox\z@\setbox\z@\lastbox\CD at uA
\lastpenalty\unpenalty\advance\CD at uA\CD at mA\CD at vA\CD at XB\advance\CD at vA-%
\lastpenalty\unpenalty\dimen1\lastkern\unkern\setbox3\lastbox\dimen0\lastkern
\unkern\setbox0=\hbox to\z@{\unhbox0\setbox0\lastbox\setbox7\lastbox
\unpenalty\CD at eJ\lastkern\unkern\CD at DC\lastkern\unkern\setbox6\lastbox\dimen7%
\CD at tB\advance\dimen7-\wd\CD at uA\ifdim\dimen7<\z@\CD at CI\multiply\dimen7\m at ne
\let\mv\empty\else\CD at BI\def\mv{\raise\ht1}\kern-\dimen7 \fi\ifnum\CD at vA>%
\CD at NB\dimen6\CD at uB\advance\dimen6-\ht\CD at vA\else\dimen6\z@\fi\CD at jJ\setbox0%
\hbox{\CD at eD{\the\CD at TC\space\ifPositiveGradient\else-\fi\the\CD at LH\space
bturn}\box0 \CD at IK{eturn}}\setbox1\null\ht1\dimen6\wd1\dimen7 \dimen7\dimen2
\dimen6\wd1 \CD at KJ\CD at uA\CD at LH\CD at vA\CD at TC\dimen6\ht1 \CD at KJ\setbox2\null
\divide\dimen2\tw@\advance\dimen2\CD at eJ\CD at eG{\dimen2}\wd2\dimen2 \dimen0.5%
\dimen7 \advance\dimen0\ifPositiveGradient\else-\fi\CD at eJ\CD at dG{\dimen0}%
\advance\dimen0-\axisheight\ht2\dimen0 \dimen0\CD at DC\CD at eG{\dimen0}\advance
\dimen0\ht2\ht2\dimen0 \dimen0\ifPositiveGradient-\fi\CD at DC\CD at dG{\dimen0}%
\advance\dimen0\wd2\wd2\dimen0 \setbox4\null\dimen0 .6\CD at zC\CD at eG{\dimen0}%
\ht4\dimen0 \dimen0 .2\CD at zC\CD at dG{\dimen0}\wd4\dimen0 \dimen0\wd2 \ifvoid6%
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\ifPositiveGradient\advance\dimen0-\wd6\advance\dimen0-\wd4 \else\advance
\dimen0\wd4 \fi\kern\dimen0\box6}\fi\dimen0\wd2 \ifvoid7\else\dimen1\ht4
\advance\dimen1-\ht2 \CD at CC7-+\lower\dimen1\rlap{\ifPositiveGradient\advance
\dimen0\wd4 \else\advance\dimen0-\wd7\advance\dimen0-\wd4 \fi\kern\dimen0\box
7}\fi\mv\box0\hss}\ht0\z@\dp0\z@\CD at bH{\z@}{\box\z@}{\z@}{\axisheight}}\def
\CD at CC#1#2#3{\dimen4.5\wd#1 \ifdim\dimen4>.25\dimen7\dimen4=.25\dimen7\fi
\ifdim\dimen4>\CD at zC\dimen4.4\dimen4 \advance\dimen4.6\CD at zC\fi\CD at eG{\dimen4%
}\dimen5\axisheight\CD at dG{\dimen5}\advance\dimen4-\dimen5 \dimen5\dimen4%
\CD at eG{\dimen5}\advance\dimen0\ifPositiveGradient#2\else#3\fi\dimen5 \CD at dG{%
\dimen4}\advance\dimen1\dimen4 } \def\CD at eD#1{\expandafter\CD at IK{#1}}\CD at ZA
\CD at EK{output is PostScript dependent}\def\CD at SC{\CD at IK{/bturn {gsave
currentpoint currentpoint translate 4 2 roll neg exch atan rotate neg exch neg
exch translate } def /eturn {currentpoint grestore moveto} def}}\def\CD at OJ#1{%
\count@#1\relax\multiply\count at 7\advance\count at 16577\divide\count at 33154 }\def
\CD at fD#1{\expandafter\special{#1}} \def\CD at xJ#1{\setbox#1=\hbox{\dimen0\dimen
#1\CD at dG{\dimen0}\CD at OJ{\dimen0}\setbox0=\null\ifPositiveGradient\count at -%
\count@\ht0\dimen0 \else\dp0\dimen0 \fi\box0 \CD at uA\count@\CD at OJ\CD at LF\CD at fD{%
pn \the\count@}\CD at fD{pa 0 0}\CD at OJ{\dimen#1}\CD at fD{pa \the\count@\space\the
\CD at uA}\CD at fD{fp}\kern\dimen#1}}\def\CD at JI{\CD at KJ\begingroup\ifdim\dimen7<%
\dimen6 \dimen2=\dimen6 \dimen6=\dimen7 \dimen7=\dimen2 \count@\CD at LH\CD at LH
\CD at TC\CD at TC\count@\else\dimen2=\dimen7 \fi\ifdim\dimen6>.01\p@\CD at KI\global
\CD at QA\dimen0 \else\global\CD at QA\dimen7 \fi\endgroup\dimen2\CD at QA}\def\CD at KI{%
\CD at hJ\ifdim\dimen7>1.73\dimen6 \divide\dimen2 4 \multiply\CD at TC2 \else\dimen
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\ifodd\count@\advance\count at 1\CD@@A\else\CD at y\fi\advance\dimen0-\count@\dimen
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1.5}\CD at ZG{0.3}\divide\count at 2 \CD at gE\multiply\dimen1\m at ne\fi\ifodd\count@
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\multiply\dimen0\m at ne\multiply\dimen1\m at ne\fi\global\CD at QA\dimen0\global
\CD at RA\dimen1\endgroup\dimen6\CD at QA\dimen7\CD at RA}\def\CD at OC{255}\let\CD at OG
\CD at OC\def\CD at KJ{\begingroup\ifdim\dimen7<\dimen6 \dimen9\dimen7\dimen7\dimen
6\dimen6\dimen9\CD@@A\else\CD at y\fi\dimen2\z@\dimen3\CD at XH\dimen4\CD at XH\dimen0%
\z@\dimen8=\CD at OG\CD at XH\CD at lC\global\CD at yA\dimen\CD at gE0\else3\fi\global\CD at zA
\dimen\CD at gE3\else0\fi\endgroup\CD at LH\CD at yA\CD at TC\CD at zA}\def\CD at lC{\count@
\dimen6 \divide\count@\dimen7 \advance\dimen6-\count@\dimen7 \dimen9\dimen4
\advance\dimen9\count@\dimen0 \ifdim\dimen9>\dimen8 \CD@@C\else\CD at AC\ifdim
\dimen6>\z@\dimen9\dimen6 \dimen6\dimen7 \dimen7\dimen9 \expandafter
\expandafter\expandafter\CD at lC\fi\fi}\def\CD@@C{\ifdim\dimen0=\z@\ifdim\dimen
9<2\dimen8 \dimen0\dimen8 \fi\else\advance\dimen8-\dimen4 \divide\dimen8%
\dimen0 \ifdim\count@\CD at XH<2\dimen8 \count@\dimen8 \dimen9\dimen4 \advance
\dimen9\count@\dimen0 \CD at AC\fi\fi}\def\CD at AC{\dimen4\dimen0 \dimen0\dimen9
\advance\dimen2\count@\dimen3 \dimen9\dimen2 \dimen2\dimen3 \dimen3\dimen9 }%
\def\CD at ZG#1{\CD at dG{\dimen2}\advance\dimen0 #1\dimen2 }\def\CD at dG#1{\divide#1%
\CD at TC\multiply#1\CD at LH}\def\CD at eG#1{\divide#1\CD at vA\multiply#1\CD at uA}\def
\CD at iC#1{\divide#1\CD at LH\multiply#1\CD at TC}\def\CD at hJ{\dimen6\CD at LH\CD at XH
\multiply\dimen6\CD at LH\dimen7\CD at TC\CD at XH\multiply\dimen7\CD at TC\CD at KJ}\ifx
\errorcontextlines\undefined\CD at tJ\let\CD at GH\relax\else\def\CD at GH{%
\errorcontextlines\m at ne}\fi\ifnum\inputlineno<0 \let\CD at CD\empty\let\CD at W
\empty\let\CD at mD\relax\let\CD at uI\relax\let\CD at vI\relax\let\CD at zF\relax
\message{! Why not upgrade to TeX version 3? (available since 1990)}\else\def
\CD at W{ at line \number\inputlineno}\def\CD at mD{ - first occurred}\def\CD at uI{%
\edef\CD at h{\the\inputlineno}\global\let\CD at jB\CD at h}\def\CD at h{9999}\def\CD at vI{%
\xdef\CD at jB{\the\inputlineno}}\def\CD at jB{\CD at h}\def\CD at zF{\ifnum\CD at h<%
\inputlineno\edef\CD at CD{\space at lines \CD at h--\the\inputlineno}\else\edef
\CD at CD{\CD at W}\fi}\fi\let\CD at CD\empty\def\CD at YA#1#2{\CD at GH\errhelp=#2%
\expandafter\errmessage{\CD at tA: #1}}\def\CD at KB#1{\begingroup\expandafter
\message{! \CD at tA: #1\CD at CD}\ifnum\CD at XB>\CD at NB\ifnum\CD at CA>\CD at NB\else\ifnum
\CD at lA>\CD at FA\else\ifnum\CD at LB>\CD at FA\advance\CD at XB-\CD at NB\advance\CD at FA-%
\CD at lA\advance\CD at FA1\relax\expandafter\message{! (error detected at row \the
\CD at XB, column \the\CD at FA, but probably caused elsewhere)}\fi\fi\fi\fi
\endgroup}\def\CD at gB#1{{\expandafter\message{\CD at tA\space Warning: #1\CD at W}}}%
\def\CD at CB#1#2{\CD at gB{#1 \string#2 is obsolete\CD at mD}}\def\CD at AB#1{\CD at CB{%
Dimension}{#1}\CD at DE#1\CD at BB\CD at BB}\def\CD at BB{\CD at OA=}\def\CD@@B#1{\CD at CB{%
Count}{#1}\CD at DE#1\CD at OH\CD at OH}\def\CD at OH{\count@=}\def\HorizontalMapLength{%
\CD at AB\HorizontalMapLength}\def\VerticalMapHeight{\CD at AB\VerticalMapHeight}%
\def\VerticalMapDepth{\CD at AB\VerticalMapDepth}\def\VerticalMapExtraHeight{%
\CD at AB\VerticalMapExtraHeight}\def\VerticalMapExtraDepth{\CD at AB
\VerticalMapExtraDepth}\def\DiagonalLineSegments{\CD@@B\DiagonalLineSegments}%
\ifx\tenln\nullfont\CD at ZA\CD at KH{\CD at eF\space diagonal line and arrow font not
available}\else\let\CD at KH\relax\fi\def\CD at aG#1#2<#3:#4:#5#6{\begingroup\CD at PA
#3\relax\advance\CD at PA-#2\relax\ifdim.1em<\CD at PA\CD at uA#5\relax\CD at vA#6\relax
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\CD at uA--\the\CD at vA}\fi\divide\CD at PA\count@\ifdim\CD at CH<\CD at PA\global\CD at CH
\CD at PA\fi\fi\fi\endgroup}\CD at tG\CD at xE\CD at JD\CD at ID\CD at rG\CD at xI{See the message
above.}\CD at rG\CD at lH{Perhaps you've forgotten to end the diagram before
resuming the text, in\CD at uG which case some garbage may be added to the
diagram, but we should be ok now.\CD at uG Alternatively you've left a blank line
in the middle - TeX will now complain\CD at uG that the remaining \CD at S s are
misplaced - so please use comments for layout.}\CD at rG\CD at hD{You have already
closed too many brace pairs or environments; an \CD at HD\CD at uG command was (%
over)due.}\CD at rG\CD at hH{\CD at dC\space and \CD at HD\space commands must match.}%
\def\CD at jH{\ifnum\inputlineno=0 \else\expandafter\CD at iH\fi}\def\CD at iH{\CD at MD
\CD at GD\crcr\CD at YA{missing \CD at HD\space inserted before \CD at kH- type "h"}%
\CD at lH\enddiagram\CD at AG\CD at kH\par}\def\CD at AG#1{\edef\enddiagram{\noexpand
\CD at rD{#1\CD at W}}}\def\CD at rD#1{\CD at YA{\CD at HD\space(anticipated by #1) ignored}%
\CD at xI\let\enddiagram\CD at SG}\def\CD at SG{\CD at YA{misplaced \CD at HD\space ignored}%
\CD at hH}\def\CD at mC{\CD at YA{missing \CD at HD\space inserted.}\CD at hD\CD at AG{closing
group}}\ifx\DeclareOption\undefined\else\ifx\DeclareOption\@notprerr\else
\DeclareOption*{\let\CD at N\relax\let\CD at DH\relax\expandafter\CD@@E
\CurrentOption,}\fi\fi
%%======================================================================%
%%                                                                      %
%%      (21) AUXILLARY MACROS FOR ADJUSTMENT OF COMPONENTS              %
%%                                                                      %
%%======================================================================%

%% NOTE: The recommended way of defining arrow commands is now
%%      \newarrow{Name}{tail}{filler}{middle}{filler}{head}
%% which defines \rName, \lName, \dName and \uName using arrow parts which
%% have themselves previously been defined using the commands
%% \newarrowtail, \newarrowfiller, \newarrowmiddle and \newarrowhead.

%% The components \rhvee etc have been retained for the time being, as an
%% intermediate stage and to continue to support the old \HorizontalMap and
%% \VerticalMap commands, but you should not rely on the continued existence
%% of these macros.

%% The various components usually need some correction
%% - longitudinally, ie to prevent gaps and overprints with the shaft,
%% - transversally,  ie to prevent "steps" in the junction with the shaft.
%% The former can be done safely ad hoc, eg with \mkern1mu.
%% The latter are now done with the macros \scriptaxis, \boldscriptaxis,
%% \shifthook and \raisehook, which include pixel corrections.

%% Please note that these and the other auxillary macros which follow are
%% interim. When it becomes clear exactly what kinds of adjustments are
%% needed for characters, this job will be done by a suitable extension
%% to the language of \newarrowhead, etc. If you have any other ideas for
%% transformations of general use please tell me.

%% By all means experiment with other characters for arrowheads, but
%% please, in your own interests, do not rely on macros like \rhvee,
%% send me a copy of your definitions for distribution to other users
%% in this file, and keep track of where your efforts get copied so
%% that they can be replaced with the "official" version when it is
%% incorporated.

%% ***** DONT use macros with mangled names like \Cd at gH. *****

\catcode\lq\$=3 %% make sure that $ means maths-shift
\def\vboxtoz{\vbox to\z@}%% \z@ is in plain TeX and means 0pt

%% print #1 in \scriptstyle, adjusting for the maths axis height
\def\scriptaxis#1{\@scriptaxis{$\scriptstyle#1$}}%%
\def\ssaxis#1{\@ssaxis{$\scriptscriptstyle#1$}}%%
\def\@scriptaxis#1{\dimen0\axisheight\advance\dimen0-\ss at axisheight\raise
\dimen0\hbox{#1}}\def\@ssaxis#1{\dimen0\axisheight\advance\dimen0-%
\ss at axisheight\raise\dimen0\hbox{#1}}

%% Some of the characters would look better in bold since they're
%% taken from sub/superscript fonts; we use LaTeX's \boldmath to
%% do this, defining this to do nothing if it doesn't exist.
%% With the old LaTeX font selection at other than 10pt you may still
%% get nothing happenning.  Also, PK fonts may be missing.
%% If you have problems, DONT use boldhook or boldlittlevee.
\ifx\boldmath\undefined%%
\let\boldscriptaxis\scriptaxis%%
\def\boldscript#1{\hbox{$\scriptstyle#1$}}%%
\def\boldscriptscript#1{\hbox{$\scriptscriptstyle#1$}}%%
\else\def\boldscriptaxis#1{\@scriptaxis{\boldmath$\scriptstyle#1$}}%%
\def\boldscript#1{\hbox{\boldmath$\scriptstyle#1$}}%%
\def\boldscriptscript#1{\hbox{\boldmath$\scriptscriptstyle#1$}}%%
\fi

%%  #1= {} or \boldmath; #2= + or -; #3=\subset or \supset
\def\raisehook#1#2#3{\hbox{\setbox3=\hbox{#1$\scriptscriptstyle#3$}%
%% the character to use
\dimen0\ss at axisheight%% \scriptscriptstyle axis height
\dimen1\axisheight\advance\dimen1-\dimen0%% difference in axis heights
\dimen2\ht3\advance\dimen2-\dimen0%
%%  height of char above axis (half spread)
\advance\dimen2-0.021em\advance\dimen1 #2\dimen2%
%% shift = axis_difference +/- half_spread
\raise\dimen1\box3}}%% print the character
%% Mark Dawson suggested using the width
\def\shifthook#1#2#3{\setbox1=\hbox{#1$\scriptscriptstyle#3$}\dimen0\wd1%
\divide\dimen0 12\CD at zH{\dimen0}%%  "u"
\dimen1\wd1\advance\dimen1-2\dimen0 \advance\dimen1-2\CD at oI\CD at zH{\dimen1}%
\kern#2\dimen1\box1}%% print

%% use the extension font (cmex) for double vertical arrows
\def\@cmex{\mathchar"03}%%ascii double quote

%%      ************* P U L L B A C K S ************

%% These will probably be replaced by something less ad hoc
%% in a future version.

\def\make at pbk#1{\setbox\tw@\hbox to\z@{#1}\ht\tw@\z@\dp\tw@\z@\box\tw@}\def
\CD at fH#1{\overprint{\hbox to\z@{#1}}}\def\CD at qH{\kern0.11em}\def\CD at pH{\kern0%
.35em}

%% This is a hack for my book ``Practical Foundations of Mathematics''
%% and WILL NOT BE SUPPORTED --- DO NOT USE IT!
\def\dblvert{\def\CD at rH{\kern.5\PileSpacing}}\def\CD at rH{}

\def\SEpbk{\make at pbk{\CD at qH\CD at rH\vrule depth 2.87ex height -2.75ex width 0.%
95em \vrule height -0.66ex depth 2.87ex width 0.05em \hss}}

\def\SWpbk{\make at pbk{\hss\vrule height -0.66ex depth 2.87ex width 0.05em
\vrule depth 2.87ex height -2.75ex width 0.95em \CD at qH\CD at rH}}

\def\NEpbk{\make at pbk{\CD at qH\CD at rH\vrule depth -3.81ex height 4.00ex width 0.%
95em \vrule height 4.00ex depth -1.72ex width 0.05em \hss}}

\def\NWpbk{\make at pbk{\hss\vrule height 4.00ex depth -1.72ex width 0.05em
\vrule depth -3.81ex height 4.00ex width 0.95em \CD at qH\CD at rH}}

%%  Freyd & Scedrov puncture symbol for non-commuting polygon
\def\puncture{{\setbox0\hbox{A}\vrule height.53\ht0 depth-.47\ht0 width.35\ht
0 \kern.12\ht0 \vrule height\ht0 depth-.65\ht0 width.06\ht0 \kern-.06\ht0
\vrule height.35\ht0 depth0pt width.06\ht0 \kern.12\ht0 \vrule height.53\ht0
depth-.47\ht0 width.35\ht0 }}

%% 2-cells: (24.11.95)
%%% \NEclck puts a clockwise (ie southeast) arrow to the northwest of cell etc
\def\NEclck{\overprint{\raise2.5ex\rlap{ \CD at rH$\scriptstyle\searrow$}}}%%
\def\NEanti{\overprint{\raise2.5ex\rlap{ \CD at rH$\scriptstyle\nwarrow$}}}%%
\def\NWclck{\overprint{\raise2.5ex\llap{$\scriptstyle\nearrow$ \CD at rH}}}%%
\def\NWanti{\overprint{\raise2.5ex\llap{$\scriptstyle\swarrow$ \CD at rH}}}%%
\def\SEclck{\overprint{\lower1ex\rlap{ \CD at rH$\scriptstyle\swarrow$}}}%%
\def\SEanti{\overprint{\lower1ex\rlap{ \CD at rH$\scriptstyle\nearrow$}}}%%
\def\SWclck{\overprint{\lower1ex\llap{$\scriptstyle\nwarrow$ \CD at rH}}}%%
\def\SWanti{\overprint{\lower1ex\llap{$\scriptstyle\searrow$ \CD at rH}}}

%%======================================================================%
%%                                                                      %
%%      (22) BITS OF ARROWS                                             %
%%                                                                      %
%%======================================================================%

%%       **********  H E A D S ***********

%% \diagramstyle[heads=xxx] defines {>} as {xxx} where xxx
%% has been defined by \newarrowhead{xxx} and \newarrowtail{xxx}

%% vee head
\def\rhvee{\mkern-10mu\greaterthan}%%
\def\lhvee{\lessthan\mkern-10mu}%%
\def\dhvee{\vboxtoz{\vss\hbox{$\vee$}\kern0pt}}%%
\def\uhvee{\vboxtoz{\hbox{$\wedge$}\vss}}%%
\newarrowhead{vee}\rhvee\lhvee\dhvee\uhvee

%% little vee head
\def\dhlvee{\vboxtoz{\vss\hbox{$\scriptstyle\vee$}\kern0pt}}%%
\def\uhlvee{\vboxtoz{\hbox{$\scriptstyle\wedge$}\vss}}%%
\newarrowhead{littlevee}{\mkern1mu\scriptaxis\rhvee}{\scriptaxis\lhvee}%
\dhlvee\uhlvee\ifx\boldmath\undefined%%
\newarrowhead{boldlittlevee}{\mkern1mu\scriptaxis\rhvee}{\scriptaxis\lhvee}%
\dhlvee\uhlvee\else%%
\def\dhblvee{\vboxtoz{\vss\boldscript\vee\kern0pt}}%%
\def\uhblvee{\vboxtoz{\boldscript\wedge\vss}}%%
\newarrowhead{boldlittlevee}{\mkern1mu\boldscriptaxis\rhvee}{\boldscriptaxis
\lhvee}\dhblvee\uhblvee%%
\fi

%% curly vee head (uses AMS symbols fonts)
\def\rhcvee{\mkern-10mu\succ}%%
\def\lhcvee{\prec\mkern-10mu}%%
\def\dhcvee{\vboxtoz{\vss\hbox{$\curlyvee$}\kern0pt}}%%
\def\uhcvee{\vboxtoz{\hbox{$\curlywedge$}\vss}}%%
\newarrowhead{curlyvee}\rhcvee\lhcvee\dhcvee\uhcvee

%% double vee head %% will probably be withdrawn later
\def\rhvvee{\mkern-13mu\gg}%% 24.8.92 changed 10mu to 13mu
\def\lhvvee{\ll\mkern-13mu}%% to make rule go through
\def\dhvvee{\vboxtoz{\vss\hbox{$\vee$}\kern-.6ex\hbox{$\vee$}\kern0pt}}%%
\def\uhvvee{\vboxtoz{\hbox{$\wedge$}\kern-.6ex \hbox{$\wedge$}\vss}}%%
\newarrowhead{doublevee}\rhvvee\lhvvee\dhvvee\uhvvee

%% open and closed triangles (uses AMS symbols fonts)
\def\triangleup{{\scriptscriptstyle\bigtriangleup}}%%
\def\littletriangledown{{\scriptscriptstyle\triangledown}}%% AMS
\def\rhtriangle{\triangleright\mkern1.2mu}%% 29.1.93
\def\lhtriangle{\triangleleft\mkern.8mu}%%
\def\uhtriangle{\vbox{\kern-.2ex \hbox{$\scriptscriptstyle\bigtriangleup$}%
\kern-.25ex}}%%
%% Changed \scriptstyle\triangledown to \scriptscriptstyle\bigtriangledown
%% at the suggestion of Martin Hofmann (25.11.92) to avoid using AMS symbols
%% and also for compatibility with upward arrow.
\def\dhtriangle{\vbox{\kern-.28ex \hbox{$\scriptscriptstyle\bigtriangledown$}%
\kern-.1ex}}%% 15.1.93 from -.25ex
\def\dhblack{\vbox{\kern-.25ex\nointerlineskip\hbox{$\blacktriangledown$}}}%
%% AMS
\def\uhblack{\vbox{\kern-.25ex\nointerlineskip\hbox{$\blacktriangle$}}}%
%% AMS
\def\dhlblack{\vbox{\kern-.25ex\nointerlineskip\hbox{$\scriptstyle
\blacktriangledown$}}}%% AMS
\def\uhlblack{\vbox{\kern-.25ex\nointerlineskip\hbox{$\scriptstyle
\blacktriangle$}}}%% AMS
\newarrowhead{triangle}\rhtriangle\lhtriangle\dhtriangle\uhtriangle
\newarrowhead{blacktriangle}{\mkern-1mu\blacktriangleright\mkern.4mu}{%
\blacktriangleleft}\dhblack\uhblack\newarrowhead{littleblack}{\mkern-1mu%
\scriptaxis\blacktriangleright}{\scriptaxis\blacktriangleleft\mkern-2mu}%
\dhlblack\uhlblack

%% LaTeX arrowheads
\def\rhla{\hbox{\setbox0=\lnchar55\dimen0=\wd0\kern-.6\dimen0\ht0\z@\raise
\axisheight\box0\kern.1\dimen0}}%%
\def\lhla{\hbox{\setbox0=\lnchar33\dimen0=\wd0\kern.05\dimen0\ht0\z@\raise
\axisheight\box0\kern-.5\dimen0}}%%
\def\dhla{\vboxtoz{\vss\rlap{\lnchar77}}}%%
\def\uhla{\vboxtoz{\setbox0=\lnchar66 \wd0\z@\kern-.15\ht0\box0\vss}}%% 1/93
\newarrowhead{LaTeX}\rhla\lhla\dhla\uhla

%% double LaTeX arrowheads %% will probably be withdrawn later
\def\lhlala{\lhla\kern.3em\lhla}%%
\def\rhlala{\rhla\kern.3em\rhla}%%
\def\uhlala{\hbox{\uhla\raise-.6ex\uhla}}%%
\def\dhlala{\hbox{\dhla\lower-.6ex\dhla}}%%
\newarrowhead{doubleLaTeX}\rhlala\lhlala\dhlala\uhlala

%% circles % \rho is a Greek letter!
\def\hhO{\scriptaxis\bigcirc\mkern.4mu} \def\hho{{\circ}\mkern1.2mu}%
\newarrowhead{o}\hho\hho\circ\circ%%
\newarrowhead{O}\hhO\hhO{\scriptstyle\bigcirc}{\scriptstyle\bigcirc}%%

%% crosses
\def\rhtimes{\mkern-5mu{\times}\mkern-.8mu}\def\lhtimes{\mkern-.8mu{\times}%
\mkern-5mu}\def\uhtimes{\setbox0=\hbox{$\times$}\ht0\axisheight\dp0-\ht0%
\lower\ht0\box0 }\def\dhtimes{\setbox0=\hbox{$\times$}\ht0\axisheight\box0 }%
\newarrowhead{X}\rhtimes\lhtimes\dhtimes\uhtimes\newarrowhead+++++

%% empty head {} is also available

%% Y from stmaryrd (vertical ones still need large adjustment)
\newarrowhead{Y}{\mkern-3mu\Yright}{\Yleft\mkern-3mu}\Yup\Ydown

%%       **********  H E A D S  with  S H A F T S  ***********

%% little arrow with shaft
\newarrowhead{->}\rightarrow\leftarrow\downarrow\uparrow

%% arrow with double shaft
%%\newarrowhead{=>}\Rightarrow\Leftarrow\Downarrow\Uparrow
\newarrowhead{=>}\Rightarrow\Leftarrow{\@cmex7F}{\@cmex7E}

%% harpoon with shaft (trailing up/left can be changed to down/right)
\newarrowhead{harpoon}\rightharpoonup\leftharpoonup\downharpoonleft
\upharpoonleft

%% little double-headed arrow with shaft (uses AMS symbols fonts)
\def\twoheaddownarrow{\rlap{$\downarrow$}\raise-.5ex\hbox{$\downarrow$}}%%
\def\twoheaduparrow{\rlap{$\uparrow$}\raise.5ex\hbox{$\uparrow$}}%%
\newarrowhead{->>}\twoheadrightarrow\twoheadleftarrow\twoheaddownarrow
\twoheaduparrow

%%       **********  T A I L S ***********

%% vee tail
\def\rtvee{\greaterthan}%%
\def\ltvee{\mkern-1mu{\lessthan}\mkern.4mu}%% \mkern added 15.1.93
\def\dtvee{\vee}%%
\def\utvee{\wedge}%%
\newarrowtail{vee}\greaterthan\ltvee\vee\wedge

%% little vee tail
\newarrowtail{littlevee}{\scriptaxis\greaterthan}{\mkern-1mu\scriptaxis
\lessthan}{\scriptstyle\vee}{\scriptstyle\wedge}\ifx\boldmath\undefined
\newarrowtail{boldlittlevee}{\scriptaxis\greaterthan}{\mkern-1mu\scriptaxis
\lessthan}{\scriptstyle\vee}{\scriptstyle\wedge}\else\newarrowtail{%
boldlittlevee}{\boldscriptaxis\greaterthan}{\mkern-1mu\boldscriptaxis
\lessthan}{\boldscript\vee}{\boldscript\wedge}\fi

%% curly vee tail (uses AMS symbols fonts)
\newarrowtail{curlyvee}\succ{\mkern-1mu{\prec}\mkern.4mu}\curlyvee\curlywedge

%% open and closed triangle tails (uses AMS symbols fonts)
\def\rttriangle{\mkern1.2mu\triangleright}%% 29.1.93
\newarrowtail{triangle}\rttriangle\lhtriangle\dhtriangle\uhtriangle
\newarrowtail{blacktriangle}\blacktriangleright{\mkern-1mu\blacktriangleleft
\mkern.4mu}\dhblack\uhblack\newarrowtail{littleblack}{\scriptaxis
\blacktriangleright\mkern-2mu}{\mkern-1mu\scriptaxis\blacktriangleleft}%
\dhlblack\uhlblack

%% LaTeX tails
\def\rtla{\hbox{\setbox0=\lnchar55\dimen0=\wd0\kern-.5\dimen0\ht0\z@\raise
\axisheight\box0\kern-.2\dimen0}}%%
\def\ltla{\hbox{\setbox0=\lnchar33\dimen0=\wd0\kern-.15\dimen0\ht0\z@\raise
\axisheight\box0\kern-.5\dimen0}}%%
\def\dtla{\vbox{\setbox0=\rlap{\lnchar77}\dimen0=\ht0\kern-.7\dimen0\box0%
\kern-.1\dimen0}}%% 15.1.93 from -.6
\def\utla{\vbox{\setbox0=\rlap{\lnchar66}\dimen0=\ht0\kern-.1\dimen0\box0%
\kern-.6\dimen0}}%%
\newarrowtail{LaTeX}\rtla\ltla\dtla\utla

%% double vee tail %% will probably be withdrawn later
\def\rtvvee{\gg\mkern-3mu}%%
\def\ltvvee{\mkern-3mu\ll}%%
\def\dtvvee{\vbox{\hbox{$\vee$}\kern-.6ex \hbox{$\vee$}\vss}}%%
\def\utvvee{\vbox{\vss\hbox{$\wedge$}\kern-.6ex \hbox{$\wedge$}\kern\z@}}%%
\newarrowtail{doublevee}\rtvvee\ltvvee\dtvvee\utvvee

%% double LaTeX tails %% will probably be withdrawn later
\def\ltlala{\ltla\kern.3em\ltla}%%
\def\rtlala{\rtla\kern.3em\rtla}%%
\def\utlala{\hbox{\utla\raise-.6ex\utla}}%%
\def\dtlala{\hbox{\dtla\lower-.6ex\dtla}}%%
\newarrowtail{doubleLaTeX}\rtlala\ltlala\dtlala\utlala

%% bar (as in \mapsto)
\def\utbar{\vrule height 0.093ex depth0pt width 0.4em}%%
\let\dtbar\utbar%%
\def\rtbar{\mkern1.5mu\vrule height 1.1ex depth.06ex width .04em\mkern1.5mu}%
%%
\let\ltbar\rtbar%%
\newarrowtail{mapsto}\rtbar\ltbar\dtbar\utbar%%
\newarrowtail{|}\rtbar\ltbar\dtbar\utbar%%ascii vertical bar (|)

%% hooks (as in \into): choice of after/above and before/below

\def\rthooka{\raisehook{}+\subset\mkern-1mu}%%
\def\lthooka{\mkern-1mu\raisehook{}+\supset}%%
\def\rthookb{\raisehook{}-\subset\mkern-2mu}%%
\def\lthookb{\mkern-1mu\raisehook{}-\supset}%%

\def\dthooka{\shifthook{}+\cap}%%
\def\dthookb{\shifthook{}-\cap}%%
\def\uthooka{\shifthook{}+\cup}%%
\def\uthookb{\shifthook{}-\cup}%%

\newarrowtail{hooka}\rthooka\lthooka\dthooka\uthooka\newarrowtail{hookb}%
\rthookb\lthookb\dthookb\uthookb

\ifx\boldmath\undefined\newarrowtail{boldhooka}\rthooka\lthooka\dthooka
\uthooka\newarrowtail{boldhookb}\rthookb\lthookb\dthookb\uthookb\newarrowtail
{boldhook}\rthooka\lthooka\dthookb\uthooka\else\def\rtbhooka{\raisehook
\boldmath+\subset\mkern-1mu}%%
\def\ltbhooka{\mkern-1mu\raisehook\boldmath+\supset}%%
\def\rtbhookb{\raisehook\boldmath-\subset\mkern-2mu}%%
\def\ltbhookb{\mkern-1mu\raisehook\boldmath-\supset}%%
\def\dtbhooka{\shifthook\boldmath+\cap}%%
\def\dtbhookb{\shifthook\boldmath-\cap}%%
\def\utbhooka{\shifthook\boldmath+\cup}%%
\def\utbhookb{\shifthook\boldmath-\cup}%%
\newarrowtail{boldhooka}\rtbhooka\ltbhooka\dtbhooka\utbhooka\newarrowtail{%
boldhookb}\rtbhookb\ltbhookb\dtbhookb\utbhookb\newarrowtail{boldhook}%
\rtbhooka\ltbhooka\dtbhooka\utbhooka\fi

%% square-ended hooks (used for closed subsets in ``lifting and gluing'')
\def\dtsqhooka{\shifthook{}+\sqcap}%%
\def\dtsqhookb{\shifthook{}-\sqcap}%%
\def\ltsqhooka{\mkern-1mu\raisehook{}+\sqsupset}%%
\def\ltsqhookb{\mkern-1mu\raisehook{}-\sqsupset}%%
\def\rtsqhooka{\raisehook{}+\sqsubset\mkern-1mu}%%
\def\rtsqhookb{\raisehook{}-\sqsubset\mkern-2mu}%%
\def\utsqhooka{\shifthook{}+\sqcup}%%
\def\utsqhookb{\shifthook{}-\sqcup}%%
\newarrowtail{sqhook}\rtsqhooka\ltsqhooka\dtsqhooka\utsqhooka

%% the following seem the better choices at 10pt & 300dpi
\newarrowtail{hook}\rthooka\lthookb\dthooka\uthooka\newarrowtail{C}\rthooka
\lthookb\dthooka\uthooka

%% circles
\newarrowtail{o}\hho\hho\circ\circ%%
\newarrowtail{O}\hhO\hhO{\scriptstyle\bigcirc}{\scriptstyle\bigcirc}%%

%% crosses
\newarrowtail{X}\lhtimes\rhtimes\uhtimes\dhtimes\newarrowtail+++++

%% empty tail {} is also available

%% Y from stmaryrd (vertical ones still need adjustment)
\newarrowtail{Y}\Yright\Yleft\Yup\Ydown

%% harpoon with shaft (trailing up/left can be changed to down/right)
\newarrowtail{harpoon}\leftharpoondown\rightharpoondown\upharpoonright
\downharpoonright

%%      **********  F I L L E R S ***********

%% shortening is up to 0.15em=2.7mu horiz and 0.35ex vertically at each end.

%% dot {.}, single rule {-} and empty {} fillers are also available

%% double and triple lines
%%\newarrowfiller{=}==\Vert\Vert%%
\newarrowfiller{=}=={\@cmex77}{\@cmex77}%% 16.1.93
\def\vfthree{\mid\!\!\!\mid\!\!\!\mid}%%ascii
\newarrowfiller{3}\equiv\equiv\vfthree\vfthree

%% dashed line
\def\vfdashstrut{\vrule width0pt height1.3ex depth0.7ex}%%
\def\vfthedash{\vrule width\CD at LF height0.6ex depth 0pt}%%
\def\hfthedash{\CD at AJ\vrule\horizhtdp width 0.26em}%%
\def\hfdash{\mkern5.5mu\hfthedash\mkern5.5mu}%%
\def\vfdash{\vfdashstrut\vfthedash}%%
\newarrowfiller{dash}\hfdash\hfdash\vfdash\vfdash

%%      ************* M I D D L E S ************

%% plus
\newarrowmiddle+++++

%%      ************* D I A G O N A L S ************

%% simple arrow heads
%%\def\nwhTO{\nwarrow\mkern-1mu}%%
%%\def\nehTO{\mkern-.1mu\nearrow}%%
%%\def\sehTO{\searrow\mkern-.02mu}%%
%%\def\swhTO{\mkern-.8mu\swarrow}%%

%%======================================================================%
%%                                                                      %
%%      (22) ARROW COMMANDS                                             %
%%                                                                      %
%%======================================================================%

%% change to \iftrue to get mixed heads
\iffalse%%
\newarrow{To}----{vee}%%
\newarrow{Arr}----{LaTeX}%%
\newarrow{Dotsto}....{vee}%%
\newarrow{Dotsarr}....{LaTeX}%%
\newarrow{Dashto}{}{dash}{}{dash}{vee}%%
\newarrow{Dasharr}{}{dash}{}{dash}{LaTeX}%%
\newarrow{Mapsto}{mapsto}---{vee}%%
\newarrow{Mapsarr}{mapsto}---{LaTeX}%%
\newarrow{IntoA}{hooka}---{vee}%%
\newarrow{IntoB}{hookb}---{vee}%%
\newarrow{Embed}{vee}---{vee}%%
\newarrow{Emarr}{LaTeX}---{LaTeX}%%
\newarrow{Onto}----{doublevee}%%
\newarrow{Dotsonarr}....{doubleLaTeX}%%
\newarrow{Dotsonto}....{doublevee}%%
\newarrow{Dotsonarr}....{doubleLaTeX}%%
\else%%
\newarrow{To}---->%%
\newarrow{Arr}---->%%
\newarrow{Dotsto}....>%%
\newarrow{Dotsarr}....>%%
\newarrow{Dashto}{}{dash}{}{dash}>%%
\newarrow{Dasharr}{}{dash}{}{dash}>%%
\newarrow{Mapsto}{mapsto}--->%%
\newarrow{Mapsarr}{mapsto}--->%%
\newarrow{IntoA}{hooka}--->%%
\newarrow{IntoB}{hookb}--->%%
\newarrow{Embed}>--->%%
\newarrow{Emarr}>--->%%
\newarrow{Onto}----{>>}%%
\newarrow{Dotsonarr}....{>>}%%
\newarrow{Dotsonto}....{>>}%%
\newarrow{Dotsonarr}....{>>}%%
\fi%%

\newarrow{Implies}===={=>}%% minimum cell height 9.5pt
\newarrow{Project}----{triangle}%%
\newarrow{Pto}----{harpoon}%% partial function
\newarrow{Relto}{harpoon}---{harpoon}%% binary relation

\newarrow{Eq}=====%%
\newarrow{Line}-----%%
\newarrow{Dots}.....%%
\newarrow{Dashes}{}{dash}{}{dash}{}%%

%% square hooked arrow (used in my ``gluing and lifting'' paper)
\newarrow{SquareInto}{sqhook}--->

%% braces and parentheses
%% \newarrow gives inappropriate directions, so we change the names
%% the vertical filler is too far to the right; horizontal too high
%% the vertical middles are too low with midvshaft
%% maybe we'll add square brackets and the integral sign one day
\newarrowhead{cmexbra}{\@cmex7B}{\@cmex7C}{\@cmex3B}{\@cmex38}%%
\newarrowtail{cmexbra}{\@cmex7A}{\@cmex7D}{\@cmex39}{\@cmex3A}%%
\newarrowmiddle{cmexbra}{\braceru\bracelu}{\bracerd\braceld}{\vcenter{%
\hbox at maths{\@cmex3D\mkern-2mu}}}%% right
{\vcenter{\hbox at maths{\mkern2mu\@cmex3C}}}%% left
\newarrow{@brace}{cmexbra}-{cmexbra}-{cmexbra}%% braces
\newarrow{@parenth}{cmexbra}---{cmexbra}%% straight parentheses
\def\rightBrace{\d at brace[thick,cmex]}%%ASCII square brackets []
\def\leftBrace{\u at brace[thick,cmex]}%%ASCII square brackets []
\def\upperBrace{\r at brace[thick,cmex]}%%ASCII square brackets []
\def\lowerBrace{\l at brace[thick,cmex]}%%ASCII square brackets []
\def\rightParenth{\d at parenth[thick,cmex]}%%ASCII square brackets []
\def\leftParenth{\u at parenth[thick,cmex]}%%ASCII square brackets []
\def\upperParenth{\r at parenth[thick,cmex]}%%ASCII square brackets []
\def\lowerParenth{\l at parenth[thick,cmex]}%%ASCII square brackets []

%% synonyms for reverse compatibility

\let\uFrom\uTo%%
\let\lFrom\lTo%%
\let\uDotsfrom\uDotsto%%
\let\lDotsfrom\lDotsto%%
\let\uDashfrom\uDashto%%
\let\lDashfrom\lDashto%%
\let\uImpliedby\uImplies%%
\let\lImpliedby\lImplies%%
\let\uMapsfrom\uMapsto%%
\let\lMapsfrom\lMapsto%%
\let\lOnfrom\lOnto%%
\let\uOnfrom\uOnto%%
\let\lPfrom\lPto%%
\let\uPfrom\uPto%%

\let\uInfromA\uIntoA%%
\let\uInfromB\uIntoB%%
\let\lInfromA\lIntoA%%
\let\lInfromB\lIntoB%%
\let\rInto\rIntoA%%
\let\lInto\lIntoA%%
\let\dInto\dIntoB%%
\let\uInto\uIntoA%%
\let\ruInto\ruIntoA%%
\let\luInto\luIntoA%%
\let\rdInto\rdIntoA%%
\let\ldInto\ldIntoA%%
%%
\let\hEq\rEq%%
\let\vEq\uEq%%
\let\hLine\rLine%%
\let\vLine\uLine%%
\let\hDots\rDots%%
\let\vDots\uDots%%
\let\hDashes\rDashes%%
\let\vDashes\uDashes%%

%%=========================================================================%
%% The following are included for reverse compatibility only.
%%=========================================================================%
\let\NW\luTo\let\NE\ruTo\let\SW\ldTo\let\SE\rdTo\def\nNW{\luTo(2,3)}\def\nNE{%
\ruTo(2,3)}%%ascii
\def\sSW{\ldTo(2,3)}\def\sSE{\rdTo(2,3)}%%ascii
\def\wNW{\luTo(3,2)}\def\eNE{\ruTo(3,2)}%%ascii
\def\wSW{\ldTo(3,2)}\def\eSE{\rdTo(3,2)}%%ascii
\def\NNW{\luTo(2,4)}\def\NNE{\ruTo(2,4)}%%ascii
\def\SSW{\ldTo(2,4)}\def\SSE{\rdTo(2,4)}%%ascii
\def\WNW{\luTo(4,2)}\def\ENE{\ruTo(4,2)}%%ascii
\def\WSW{\ldTo(4,2)}\def\ESE{\rdTo(4,2)}%%ascii
\def\NNNW{\luTo(2,6)}\def\NNNE{\ruTo(2,6)}%%ascii
\def\SSSW{\ldTo(2,6)}\def\SSSE{\rdTo(2,6)}%%ascii
\def\WWNW{\luTo(6,2)}\def\EENE{\ruTo(6,2)}%%ascii
\def\WWSW{\ldTo(6,2)}\def\EESE{\rdTo(6,2)}%%ascii

\let\NWd\luDotsto\let\NEd\ruDotsto\let\SWd\ldDotsto\let\SEd\rdDotsto\def\nNWd
{\luDotsto(2,3)}\def\nNEd{\ruDotsto(2,3)}%%ascii
\def\sSWd{\ldDotsto(2,3)}\def\sSEd{\rdDotsto(2,3)}%%ascii
\def\wNWd{\luDotsto(3,2)}\def\eNEd{\ruDotsto(3,2)}%%ascii
\def\wSWd{\ldDotsto(3,2)}\def\eSEd{\rdDotsto(3,2)}%%ascii
\def\NNWd{\luDotsto(2,4)}\def\NNEd{\ruDotsto(2,4)}%%ascii
\def\SSWd{\ldDotsto(2,4)}\def\SSEd{\rdDotsto(2,4)}%%ascii
\def\WNWd{\luDotsto(4,2)}\def\ENEd{\ruDotsto(4,2)}%%ascii
\def\WSWd{\ldDotsto(4,2)}\def\ESEd{\rdDotsto(4,2)}%%ascii
\def\NNNWd{\luDotsto(2,6)}\def\NNNEd{\ruDotsto(2,6)}%%ascii
\def\SSSWd{\ldDotsto(2,6)}\def\SSSEd{\rdDotsto(2,6)}%%ascii
\def\WWNWd{\luDotsto(6,2)}\def\EENEd{\ruDotsto(6,2)}%%ascii
\def\WWSWd{\ldDotsto(6,2)}\def\EESEd{\rdDotsto(6,2)}%%ascii

\let\NWl\luLine\let\NEl\ruLine\let\SWl\ldLine\let\SEl\rdLine\def\nNWl{\luLine
(2,3)}\def\nNEl{\ruLine(2,3)}%%ascii
\def\sSWl{\ldLine(2,3)}\def\sSEl{\rdLine(2,3)}%%ascii
\def\wNWl{\luLine(3,2)}\def\eNEl{\ruLine(3,2)}%%ascii
\def\wSWl{\ldLine(3,2)}\def\eSEl{\rdLine(3,2)}%%ascii
\def\NNWl{\luLine(2,4)}\def\NNEl{\ruLine(2,4)}%%ascii
\def\SSWl{\ldLine(2,4)}\def\SSEl{\rdLine(2,4)}%%ascii
\def\WNWl{\luLine(4,2)}\def\ENEl{\ruLine(4,2)}%%ascii
\def\WSWl{\ldLine(4,2)}\def\ESEl{\rdLine(4,2)}%%ascii
\def\NNNWl{\luLine(2,6)}\def\NNNEl{\ruLine(2,6)}%%ascii
\def\SSSWl{\ldLine(2,6)}\def\SSSEl{\rdLine(2,6)}%%ascii
\def\WWNWl{\luLine(6,2)}\def\EENEl{\ruLine(6,2)}%%ascii
\def\WWSWl{\ldLine(6,2)}\def\EESEl{\rdLine(6,2)}%%ascii

\let\NWld\luDots\let\NEld\ruDots\let\SWld\ldDots\let\SEld\rdDots\def\nNWld{%
\luDots(2,3)}\def\nNEld{\ruDots(2,3)}%%ascii
\def\sSWld{\ldDots(2,3)}\def\sSEld{\rdDots(2,3)}%%ascii
\def\wNWld{\luDots(3,2)}\def\eNEld{\ruDots(3,2)}%%ascii
\def\wSWld{\ldDots(3,2)}\def\eSEld{\rdDots(3,2)}%%ascii
\def\NNWld{\luDots(2,4)}\def\NNEld{\ruDots(2,4)}%%ascii
\def\SSWld{\ldDots(2,4)}\def\SSEld{\rdDots(2,4)}%%ascii
\def\WNWld{\luDots(4,2)}\def\ENEld{\ruDots(4,2)}%%ascii
\def\WSWld{\ldDots(4,2)}\def\ESEld{\rdDots(4,2)}%%ascii
\def\NNNWld{\luDots(2,6)}\def\NNNEld{\ruDots(2,6)}%%ascii
\def\SSSWld{\ldDots(2,6)}\def\SSSEld{\rdDots(2,6)}%%ascii
\def\WWNWld{\luDots(6,2)}\def\EENEld{\ruDots(6,2)}%%ascii
\def\WWSWld{\ldDots(6,2)}\def\EESEld{\rdDots(6,2)}%%ascii

\let\NWe\luEmbed\let\NEe\ruEmbed\let\SWe\ldEmbed\let\SEe\rdEmbed\def\nNWe{%
\luEmbed(2,3)}\def\nNEe{\ruEmbed(2,3)}%%ascii
\def\sSWe{\ldEmbed(2,3)}\def\sSEe{\rdEmbed(2,3)}%%ascii
\def\wNWe{\luEmbed(3,2)}\def\eNEe{\ruEmbed(3,2)}%%ascii
\def\wSWe{\ldEmbed(3,2)}\def\eSEe{\rdEmbed(3,2)}%%ascii
\def\NNWe{\luEmbed(2,4)}\def\NNEe{\ruEmbed(2,4)}%%ascii
\def\SSWe{\ldEmbed(2,4)}\def\SSEe{\rdEmbed(2,4)}%%ascii
\def\WNWe{\luEmbed(4,2)}\def\ENEe{\ruEmbed(4,2)}%%ascii
\def\WSWe{\ldEmbed(4,2)}\def\ESEe{\rdEmbed(4,2)}%%ascii
\def\NNNWe{\luEmbed(2,6)}\def\NNNEe{\ruEmbed(2,6)}%%ascii
\def\SSSWe{\ldEmbed(2,6)}\def\SSSEe{\rdEmbed(2,6)}%%ascii
\def\WWNWe{\luEmbed(6,2)}\def\EENEe{\ruEmbed(6,2)}%%ascii
\def\WWSWe{\ldEmbed(6,2)}\def\EESEe{\rdEmbed(6,2)}%%ascii

\let\NWo\luOnto\let\NEo\ruOnto\let\SWo\ldOnto\let\SEo\rdOnto\def\nNWo{\luOnto
(2,3)}\def\nNEo{\ruOnto(2,3)}%%ascii
\def\sSWo{\ldOnto(2,3)}\def\sSEo{\rdOnto(2,3)}%%ascii
\def\wNWo{\luOnto(3,2)}\def\eNEo{\ruOnto(3,2)}%%ascii
\def\wSWo{\ldOnto(3,2)}\def\eSEo{\rdOnto(3,2)}%%ascii
\def\NNWo{\luOnto(2,4)}\def\NNEo{\ruOnto(2,4)}%%ascii
\def\SSWo{\ldOnto(2,4)}\def\SSEo{\rdOnto(2,4)}%%ascii
\def\WNWo{\luOnto(4,2)}\def\ENEo{\ruOnto(4,2)}%%ascii
\def\WSWo{\ldOnto(4,2)}\def\ESEo{\rdOnto(4,2)}%%ascii
\def\NNNWo{\luOnto(2,6)}\def\NNNEo{\ruOnto(2,6)}%%ascii
\def\SSSWo{\ldOnto(2,6)}\def\SSSEo{\rdOnto(2,6)}%%ascii
\def\WWNWo{\luOnto(6,2)}\def\EENEo{\ruOnto(6,2)}%%ascii
\def\WWSWo{\ldOnto(6,2)}\def\EESEo{\rdOnto(6,2)}%%ascii

\let\NWod\luDotsonto\let\NEod\ruDotsonto\let\SWod\ldDotsonto\let\SEod
\rdDotsonto\def\nNWod{\luDotsonto(2,3)}\def\nNEod{\ruDotsonto(2,3)}%%ascii
\def\sSWod{\ldDotsonto(2,3)}\def\sSEod{\rdDotsonto(2,3)}%%ascii
\def\wNWod{\luDotsonto(3,2)}\def\eNEod{\ruDotsonto(3,2)}%%ascii
\def\wSWod{\ldDotsonto(3,2)}\def\eSEod{\rdDotsonto(3,2)}%%ascii
\def\NNWod{\luDotsonto(2,4)}\def\NNEod{\ruDotsonto(2,4)}%%ascii
\def\SSWod{\ldDotsonto(2,4)}\def\SSEod{\rdDotsonto(2,4)}%%ascii
\def\WNWod{\luDotsonto(4,2)}\def\ENEod{\ruDotsonto(4,2)}%%ascii
\def\WSWod{\ldDotsonto(4,2)}\def\ESEod{\rdDotsonto(4,2)}%%ascii
\def\NNNWod{\luDotsonto(2,6)}\def\NNNEod{\ruDotsonto(2,6)}%%ascii
\def\SSSWod{\ldDotsonto(2,6)}\def\SSSEod{\rdDotsonto(2,6)}%%ascii
\def\WWNWod{\luDotsonto(6,2)}\def\EENEod{\ruDotsonto(6,2)}%%ascii
\def\WWSWod{\ldDotsonto(6,2)}\def\EESEod{\rdDotsonto(6,2)}%%ascii

%%======================================================================%
%%                                                                      %
%%      (23) MISCELLANEOUS                                              %
%%                                                                      %
%%======================================================================%

\def\labelstyle{%%
\ifincommdiag%%
\textstyle%%
\else%%
\scriptstyle%%
\fi}%%
\let\objectstyle\displaystyle

\newdiagramgrid{pentagon}{0.618034,0.618034,1,1,1,1,0.618034,0.618034}{1.%
17557,1.17557,1.902113,1.902113}

\newdiagramgrid{perspective}{0.75,0.75,1.1,1.1,0.9,0.9,0.95,0.95,0.75,0.75}{0%
.75,0.75,1.1,1.1,0.9,0.9}

\diagramstyle[%%ascii open square bracket
dpi=300,%%              office laserwriters are usually 300 dots per inch
vmiddle,nobalance,%%    vertical and horizontal positioning
loose,%%                allow rows and columns to stretch
thin,%%                 line10 arrows; default rule thickness (TeXbook p447)
pilespacing=10pt,%
%%     parallel vertical separation (horizontals: half this)
shortfall=4pt,%%        distance between arrowheads and their targets
%% The following are defaulted on entry to the diagram itself.
%% l>=2em               minimum length of horizontal arrow shafts in text
%% l>=1em               ditto in diagrams
%% size=3em             cell size
%% heads=LaTeX          arrowheads
]%%ascii close square bracket

%% process options to LaTeX2e's \usepackage[options]{diagrams}
\ifx\ProcessOptions\undefined\else\CD at PK\ProcessOptions\relax\CD at FF\CD at e\fi
\fi

\cdrestoreat%% restore old category code for @ etc
%%============================== THE END ==============================

\dimen0 200pt \dimen1 210pt \dimen2 220pt \dimen3 230pt \dimen4 240pt \dimen5
250pt \dimen6 260pt \dimen7 270pt \dimen8 280pt \dimen9 290pt

%% This is the end of Paul Taylor's commutative diagrams package.

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