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% ACOMPAT.TEX VERSION 2.0
% COPYRIGHT (C) 1991 BY THE TEXPLORATORS CORPORATION
% ALL RIGHTS RESERVED
% THIS FILE SHOULD NOT BE CHANGED IN ANY WAY.
%% This file allows certain modifications that might be desired
%% if an old AmS-TeX file has to be run through LamS-TeX.
%% First of all
%%
%% \manualtags
%%
%% causes \tag to revert to its AmS-TeX usage: instead of
%% simply typing
%%
%% $$ x=y \tag $$
%%
%% and expecting LamS-TeX to supply the \tag number automatically,
%% one would type an explicit \tag like
%%
%% $$ x=y \tag 3 $$
%%
%% which would give the tag (3) [the formatting of the tag
%% number can still be changed with \newstyle\tag].
%%
%% It is possible to specify \manualtags within a group if
%% only part of a paper uses the AmS-TeX conventions.
%% Similarly, the command
%%
%% \amstexCDs
%%
%% makes \CD act exactly as in AmS-TeX, with no &'s, and
%% with @>>> and @<<< for horizontal arrows, @ AAA and @ VVV for
%% vertical arrows, @. for an `empty arrow', @= for a horizontal
%% long equal sign, and @| or @\vert for a vertical long equal sign.
%% Moreover, @))) and @((( can be used for @>>> and @<<< --- an
%% addition made in version 2.0 of AmS-TeX.
%%
%% \amstexCDs can also be used within a group, in case some \CD's
%% are in the AmS-TeX format, while others are in LamS-TeX format.
%% By the way, once this file has been \input, @>>> and @<<<
%% can even be used in math mode, outside of commutative diagrams,
%% just as in AmS-TeX, giving the same result as LamS-TeX's
%% \East and \West. [But you can't use the alternatives @((( and @)))
%% this way.]
%% Although \amstexCDs allows \CD's from an old AmS-TeX file to
%% be used with LamS-TeX, note that these rectangular \CD's will
%% not look the same as those produced by LamS-TeX. However,
%% there is also \OCD...\endOCD (`old \CD'), which gives exactly the
%% same diagrams as ordinary LamS-TeX diagrams, but which requires
%% only rather modest amounts of editing. For example, instead of
%%
%% \amstexCDs
%% $$
%% \CD
%% G @)\alpha)\beta) H @= K @>\alpha>\beta > L\\
%% @VfVgV @AfAgA @| @. \\
%% G' @(\alpha(\beta( H' @. K' @<\alpha<\beta< L'
%% \endCD
%% $$
%%
%% you can type
%%
%% $$
%% \OCD
%% G @VfVgV @)\alpha)\beta) H @= K @>\alpha>\beta > L\\
%% %
%% G' @(\alpha(\beta( H' @AfAgA @. K' @| @<\alpha<\beta< L'
%% \endOCD
%% $$
%%
%% and get a commutative diagram that looks exactly like those normally
%% produced by LamS-TeX.
%%
%% The changes that have to be made are covered by the following rules:
%%
%% (1) The `rows' with vertical arrows are eliminated.
%% (2) Vertical arrows should instead be placed after the vertex at
%% which they start. In other words, @VVV arrows should be placed
%% after the vertex above, and @AAA arrows should be placed after
%% the vertex below; a vertical long equal sign, @| or @\vert, is
%% to be treated like @AAA (i.e., it is thought of as pointing
%% upwards).
%% (3) These vertical arrows always go BEFORE any horizontal arrow
%% at the vertex.
%% (4) Horizontal `empty arrows' are retained, but vertical ones
%% are eliminated.
%%
%% Note that \OCD...\endOCD will give \tsize labels, the default for
%% commutative diagrams in LamS-TeX, but if \amstexCD's is specified,
%% then \CD...\endCD gives \ssize labels, the default in AmS-TeX.
%% If you want \OCD...\endOCD to give \ssize labels, type
%% \ssizeCDlabels\OCD ... \endOCD.
%% In LamS-TeX, \endCD is actually part of the `syntax' for \CD, not
%% an independent control sequence. So if you tried
%%
%% \define\cd{\CD}
%% \define\endcd{\endCD}
%%
%% then \cd...\endcd would not work. However, you could
%%
%% \define\cd#1\endcd{\CD#1\endCD}
%%
%% and then you could use \cd...\endcd instead of \CD...\endCD.
%% The same holds for \OCD...\endOCD. So you could, for example,
%%
%% \define\ocd#1\endocd{\ssizeCDlabels\OCD#1\endOCD}
%%
%% and then use \ocd...\endocd to have \ssizeCDlabels automatically.
%% (You could even
%%
%% \predefine\OCDoriginal{\OCD}
%% \redefine\OCD#1\endOCD{\ssizeCDlabels\OCDoriginal#1\endOCD}
%%
%% if you wanted to use \OCD...\endOCD and have \ssizeCDlabels
%% automatically.)
\catcode`\@=11
\let\alloc@\alloc@
\def\manualtags{\def\maketag@@@@##1\maketag@{\hbox{\tag@S{\tag@F
\ignorespaces##1\unskip}}}}
\let\CD@\CD
\atdef@>#1>#2>{\ampersand@
\setboxz@h{$\m@th\ssize\;{#1}\;\;$}%
\setbox\tw@\hbox{$\m@th\ssize\;{#2}\;\;$}%
\setbox4=\hbox{$\m@th#2$}%
\ifCD@\global\bigaw@\minCDaw@\else\global\bigaw@\minaw@\fi
\ifdim\wdz@>\bigaw@\global\bigaw@\wdz@\fi
\ifdim\wd\tw@>\bigaw@\global\bigaw@\wd\tw@\fi
\ifCD@\hskip.5em\fi
\ifdim\wd4 >\z@
\mathrel{\mathop{\hbox to\bigaw@{\rightarrowfill}}\limits^{#1}_{#2}}%
\else\mathrel{\mathop{\hbox to\bigaw@{\rightarrowfill}}\limits^{#1}}\fi
\ifCD@\hskip.5em\fi
\ampersand@}%
\atdef@<#1<#2<{\ampersand@\setboxz@h{$\m@th\ssize\;\;{#1}\;$}%
\setbox\tw@\hbox{$\m@th\ssize\;\;{#2}\;$}\setbox4=\hbox{$\m@th#2$}%
\ifCD@\global\bigaw@\minCDaw@\else\global\bigaw@\minaw@\fi
\ifdim\wdz@>\bigaw@\global\bigaw@\wdz@\fi
\ifdim\wd\tw@>\bigaw@\global\bigaw@\wd\tw@\fi
\ifCD@\hskip.5em\fi
\ifdim\wd4 >\z@
\mathrel{\mathop{\hbox to\bigaw@{\leftarrowfill}}\limits^{#1}_{#2}}\else
\mathrel{\mathop{\hbox to\bigaw@{\leftarrowfill}}\limits^{#1}}\fi
\ifCD@\hskip.5em\fi\ampersand@}
\let\ampersand@\relax
\newdimen\minCDaw@
\minCDaw@2.5pc
\def\minCDarrowwidth#1{\RIfMIfI@\onlydmatherr@\minCDarrowwidth
\else\minCDaw@#1\relax\fi\else\onlydmatherr@\minCDarrowwidth\fi}
\newdimen\bigaw@
\newif\ifCD@
\def\amstexCDs{%
\atdef@ A##1A##2A{\llap{$\m@th\vcenter{\hbox
{$\ssize##1$}}$}\Big\uparrow\rlap{$\m@th\vcenter{\hbox{$\ssize##2$}}$}&&}%
\atdef@ V##1V##2V{\llap{$\m@th\vcenter{\hbox{$\ssize##1$}}$}%
\Big\downarrow\rlap{$\m@th\vcenter{\hbox{$\ssize##2$}}$}&&}%
\atdef@={&\hskip.5em\mathrel
{\vbox{\hrule width\minCDaw@\vskip3\ex@\hrule width
\minCDaw@}}\hskip.5em&}%
\atdef@|{\Big\Vert&&}%
\atdef@\vert{\Big\Vert&&}%
\def\pretend##1\haswidth##2{\setboxz@h{$\m@th\scriptstyle{##2}$}\hbox
to\wdz@{\hfill$\m@th\scriptstyle{##1}$\hfill}}%
\atdef@.{&&}%
\atdef@)##1)##2){\ampersand@
\setboxz@h{$\m@th\ssize\;{##1}\;\;$}%
\setbox\tw@\hbox{$\m@th\ssize\;{##2}\;\;$}%
\setbox4=\hbox{$\m@th##2$}%
\ifCD@
\global\bigaw@\minCDaw@\else\global\bigaw@\minaw@\fi
\ifdim\wdz@>\bigaw@\global\bigaw@\wdz@\fi
\ifdim\wd\tw@>\bigaw@\global\bigaw@\wd\tw@\fi
\ifCD@\hskip.5em\fi
\ifdim\wd4 >\z@
\mathrel{\mathop{\hbox to\bigaw@{\rightarrowfill}}\limits^{##1}_{##2}}%
\else\mathrel{\mathop{\hbox to\bigaw@{\rightarrowfill}}\limits^{##1}}\fi
\ifCD@\hskip.5em\fi
\ampersand@}%
\atdef@(##1(##2({\ampersand@\setboxz@h{$\m@th\ssize\;\;{##1}\;$}%
\setbox\tw@\hbox{$\m@th\ssize\;\;{##2}\;$}\setbox4=\hbox{$\m@th##2$}%
\ifCD@\global\bigaw@\minCDaw@\else\global\bigaw@\minaw@\fi
\ifdim\wdz@>\bigaw@\global\bigaw@\wdz@\fi
\ifdim\wd\tw@>\bigaw@\global\bigaw@\wd\tw@\fi
\ifCD@\hskip.5em\fi
\ifdim\wd4 >\z@
\mathrel{\mathop{\hbox to\bigaw@{\leftarrowfill}}\limits^{##1}_{##2}}\else
\mathrel{\mathop{\hbox to\bigaw@{\leftarrowfill}}\limits^{##1}}\fi
\ifCD@\hskip.5em\fi\ampersand@}%
\def\CD{\bgroup
\vspace@\relax\iffalse{\fi\let\ampersand@&\iffalse}\fi
\CD@true\vcenter\bgroup\Let@\tabskip\z@skip\baselineskip20\ex@
\lineskip3\ex@\lineskiplimit3\ex@\halign\bgroup
&\hfill$\m@th####$\hfill\crcr}
\def\endCD{\crcr\egroup\egroup\egroup}%
}
\def\OCD{\bgroup
\DN@{\let\leftparens@}\expandafter\next@\csname\string @(\endcsname
\atdef@.{&}%
\atdef@)##1)##2){\options@true\begingroup\optioncodes@
\L@{##1}\l@{##2}\leftparens@1,0)&}%
\atdef@>##1>##2>{\options@true\begingroup\optioncodes@
\L@{##1}\l@{##2}\leftparens@1,0)&}%
\atdef@(##1(##2({\options@true\begingroup\optioncodes@
\L@{##1}\l@{##2}\zero@ h\one@ e\leftparens@1,0)&}%
\atdef@<##1<##2<{\options@true\begingroup\optioncodes@
\L@{##1}\l@{##2}\zero@ h\one@ e\leftparens@1,0)&}%
\atdef@ A##1A##2A{\options@true\begingroup\optioncodes@
\L@{##1}\l@{##2}\leftparens@0,1)}%
\atdef@ V##1V##2V{\options@true\begingroup\optioncodes@
\L@{##1}\l@{##2}\leftparens@0,-1)}%
\atdef@={\options@true\begingroup\optioncodes@
\a@=\leftparens@1,0)&}%
\atdef@|{\options@true\begingroup\optioncodes@
\a@=\leftparens@0,1)}%
\atdef@\vert{\options@true\begingroup\optioncodes@
\a@=\leftparens@0,1)}%
\def\next@##1\endOCD{\CD@##1\endCD\egroup}%
\next@}
\def\alloc@#1#2#3#4#5{\global\advance\count1#1by\@ne
\ch@ck#1#4#2\allocationnumber=\count1#1
\global#3#5=\allocationnumber
\wlog{\string#5=\string#2\the\allocationnumber}}
\catcode`\@=\active
|
