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%% file: TXSeqns.tex - Equation Numbering - TeXsis version 2.18
%% @(#) $Id: TXSeqns.tex,v 18.0 1999/07/09 17:24:29 myers Exp $
%======================================================================*
%
% These macros use \tag from TXStags to number equations automatically,
% including chapter and section numbers if \showchapIDtrue and
% \showsectIDtrue are used. To obtain automatic equation numbers in
% ordinary displayed equations, use \EQN in place of \eqno:
% $$
% <math mode material> \EQN <tag>
% $$
% The <tag> can include almost anything, including a number. A ; is used
% for multi-part equations, with the equation number only being
% incremented for <tag>;a. For example,
% $$ <first part> \EQN <tag>;a $$
% ...
% $$ <second part> \EQN <tag>;b $$
% This usage requires that <tag>;<letter> NOT be surrounded by {}; \EQN
% takes as its argument everything up to the $$.
%
% To construct multi-part equations with \EQN, use \EQNalign and
% \EQNdisplaylines in place of the \eqalign and \displaylines of plain
% TeX. For equations aligned at the & sign, use
% $$
% \EQNalign{
% <eqn 1 left> & <eqn 1 right> \EQN <tag1> \cr
% <eqn 2 left> & <eqn 2 right> \EQN <tag2> \cr
% ...}
% $$
% For centered equations with less space than between separate equations,
% use instead
% $$
% \EQNdisplaylines{
% <eqn 1 > \EQN <tag1> \cr
% <eqn 2 > \EQN <tag2> \cr
% ...}
% $$
% The \EQN can be omitted on any of the lines, or the ; construction can be
% used for multi-part numbers. (Note that these macros actually redefine
% \EQN to be & inside of the \halign and typeset the equation number in the
% same way as does \eqalignno in plain TeX.)
%
% Several macros are provided to use a tag to refer to a previous
% equation:
% \Eq{<tag>} ==> Eq.~(<number>)
% \Eqs{<tag>} ==> Eqs.~(<number>)
% \Ep{<tag>} ==> (<number>)
% Compound constructions are possible, e.g.
% \Eqs{<tag1>}-\Ep{<tag2>} ==> Eqs.~(<number1>)-(<number2>)
%
% Note: there may be difficulties with using parentheses in labels
% if \onparens is set.
%
% This file is a part of TeXsis.
% (C) Copyright 1986, 1997 by Eric Myers and Frank E. Paige
%======================================================================*
\message{Equation numbering.}
% Counters and such:
\newcount\eqnum \eqnum=\z@ % equation number in section
\def\@chaptID{} \def\@sectID{} % start with these null
% Equation Label Tracing: \eqnotracetrue allows you to trace equation
% numbers by internal label when you print a rough draft of the document.
% Both the external sequential equation number and the internal label are
% printed, one over the other.
\newif\ifeqnotrace \eqnotracefalse % start with it off
%----------------------------------------------------------------------*
% \EQN <label> $$ gets everything up to the "$$" as the equation
% label and passes it to \EQNOparse for processing. Then it does the
% final "$$". \@EQN does the work.
\def\EQN{% turns off special characters and calls \@EQN
\begingroup % what follows is local
\quoteoff\offparens % make sure ",(, ) not active
\@EQN} % go get label
\def\@EQN#1$${% gets everything up to $$ and parses as the label
\endgroup % end group from \EQN
\if ?#1? \EQNOparse *;;\endlist % if no label, tag with "*"
\else \EQNOparse#1;;\endlist\fi % parse the label
$$} % then end equation with $$
% \EQNOparse <label>;;\endlist parses <text> as an equation number
% label. It separates out letters, if present. (eg. label;a for equation a,
% but ";" does not appear in output.) It tags the label and puts the equation
% number in the display by calling \@EQNOdisplay.
\def\EQNOparse#1;#2;#3\endlist{% parse equation label, look for ``;''
\if ?#3?\relax % if #3 is null, no ";" present
\global\advance\eqnum by\@ne % so advance count
\edef\tnum{\@chaptID\@sectID\the\eqnum}% % construct eqn number
\Eqtag{#1}{\tnum}% % tag the eqn number
\@EQNOdisplay{#1}% % display equation number
\else\stripblanks #2\endlist % remove any blanks
\edef\p@rt{\tok}% % and save in \p@rt
\if a\p@rt\relax % if ";" present is it ";a"?
\global\advance\eqnum by\@ne\fi % yes: advance counter anyway
\edef\tnum{\@chaptID\@sectID\the\eqnum}% % construct eqn number
\Eqtag{#1}{\tnum}% % and tag equation #nn
\edef\tnum{\@chaptID\@sectID\the\eqnum\p@rt}% also make eqn # w/ letter
\Eqtag{#1;\p@rt}{\tnum}% % and tag #nn;x
\@EQNOdisplay{#1;#2}% % display equation number
\fi %
\global\let\?=\tnum % \? is last eqn # (ala PHYZZX)
\relax}% % end of definition
% \Eqtag#1#2 is like \tag for the equation number, (in future, have it
% not write to the .aux file if the label begins with "*").
\def\Eqtag#1#2{\tag{Eq.#1}{#2}}
% \@EQNOdisplay{<label>} writes the equation number, which is in \tnum.
% If \eqnotracetrue then we also put the label in the margin, in \tt.
\def\@EQNOdisplay#1{% display equation number besides equation
\@eqno % begin eqn number
\ifeqnotrace % tracing labels? then...
\rlap{\phantom{(\tnum)}% % skip over number to margin
\quad{\tenpoint\tt["#1"]}}\fi % put ["label"] in margin
\linkname{Eq.#1}{(\tnum)}% % and the equation number
}
\let\@eqno=\eqno % usual interpretation
\def\endlist{\endlist} % just so it has a def
%----------------------------------------------------------------------*
% Reference equations in the text. The \linkto makes these HyperTeXt
% links if \htmltrue is set.
\def\Eq#1{\linkto{Eq.#1}{Eq.~($\use{Eq.#1}$)}} % \Eq prints "Eq. (nn)"
\def\Eqs#1{\linkto{Eq.#1}{Eqs.~($\use{Eq.#1}$)}}% \Eqs prints "Eqs. (nn)"
\def\Ep#1{\linkto{Eq.#1}{($\use{Eq.#1}$)}} % \Ep prints just "(nn)"
%----------------------------------------------------------------------*
% \EQNdisplaylines is just like \displaylines, as described in
% The TeXbook, except that you can also use \EQN for equation numbers.
% syntax: "\EQNdisplaylines{... <equation> \EQN <label> \cr ...ditto...\cr}"
\def\EQNdisplaylines#1{% % make \EQN re-\def local
\@EQNcr % change \def of \EQN to get label
\displ@y % reduce interline spacing (from Plain)
\halign{% % alignment
\hbox to\displaywidth{% % full width
$\@lign\hfil\displaystyle##\hfil$}% centered displaystyle
&\llap{$\@lign\@@EQN{##}$}\crcr % then eqn number template
#1\crcr}% % now apply template to argument
\@EQNuncr} % put \EQN back to normal
% \EQNalign is just like \eqalign except that you can use \EQN to get
% equation numbers. Just put ...\EQN <label> \cr on a line you want to get
% a label.
\long\def\EQNalign#1{% replacement for \eqalign using \EQN
\@EQNcr % re-def \EQN to see label before \cr
\displ@y % reduce interline spacing
\tabskip=\centering % leftskip for LHS
\halign to\displaywidth{% % alignment
\hfil$\relax\displaystyle{##}$% % template for LHS
\tabskip=0pt % no skip between LHS and RHS
&$\relax\displaystyle{{}##}$\hfil % template for RHS
\tabskip=\centering % rightskip for RHS
&\llap{$\relax\@@EQN{##}$}% % template for eqn number, parses label
\tabskip=0pt\crcr % no skip at end of eqn number
#1\crcr}% % now apply template to argument
}
% \@@EQN parses and displays the equation number using \EQNOparse.
% Here \@eqno is disabled in \@EQNOdisplay by \@EQNcr.
\def\@@EQN#1{\if ?#1? \EQNOparse *;;\endlist % if empty, label *
\else \EQNOparse#1;;\endlist\fi} % otherwise label with #1
% \@EQNcr changes definition of \EQN so it is an alignment tab.
% Everything up to the \cr is then passed to \EQNOparse by the \@@EQN in
% the template. Also changes \@eqno to \relax for \@EQNOdisplay.
% \@EQNuncr changes everything back to normal.
\def\@EQNcr{% changes definition of \EQN to & for aligned equations
\let\EQN=& % \EQN is alignment tab
\let\@eqno=\relax} % don't do \eqno in \EQNalign
\def\@EQNuncr{% changes definition of \EQN back to normal
\let\EQN=\@EQN % \EQN is as usual
\let\@eqno=\eqno} % make \@eqno be \eqno
% \EQNdoublealign makes a double equation alignment, i.e. three
% columns. \EQN works as usual.
\def\EQNdoublealign#1{% % make re-def of \EQN local
\@EQNcr % re-def \EQN to see label before \cr
\displ@y % reduce interline spacing
\tabskip=\centering % leftskip for LHS
\halign to\displaywidth{% %
\hfil$\relax\displaystyle{##}$% % template for LHS
\tabskip=0pt % no skip between LHS and middle
&$\relax\displaystyle{{}##}$\hfil% % template for middle
\tabskip=0pt % no skip between middle and RHS
&$\relax\displaystyle{{}##}$\hfil% % template for RHS
\tabskip=\centering % rightskip for RHS
&\llap{$\relax\@@EQN{##}$}% % eqn number template parses label
\tabskip=0pt\crcr % no skip at end of eqn number
#1\crcr}% % now apply template to argument
\@EQNuncr}% % put \EQN back to normal
%----------------------------------------------------------------------*
% Alternate def of \displaylines lets you put in equation numbers
% just like \eqalignno (or use \EQNdisplaylines in eqns.tex).
%
%%\def\displaylines#1{%
%% \displ@y % reduce interline spacing
%% \halign{\hbox to \displaywidth{$\hfil\displaystyle##\hfil$}%
%% &\llap{$##$}\crcr % then eqn number
%% #1\crcr}} % now apply template
%----------------------------------------------------------------------*
% \eqn<label> $$ is like \EQN except that it uses the PHYZZX
% protocols. It defines the control sequence \"label" to be the equation
% number.
\def\eqn#1$${\edef\tok\string#1 % expand cs name to letters
\xdef#1{\NX\use{Eq.\tok}}% % make cs refer to this eqn number
\EQNOparse \tok;;\endlist $$} % now process eqn number as usual
%----------------------------------------------------------------------*
% \eqnmark puts a marker at the left edge of a displayed equation to
% show that it's important. This is better than putting a box around
% the equation. Change \eqnmarker to be whatever symbol you want.
% Note that this works with \eqno and \EQN and \eqalign{ }\eqno or
% \EQN, but not \eqalignno oe \EQNalign.
\def\eqnmarker{\triangleright} % change to whatever mark you want
\def\eqnmark{\quoteoff\offparens\@eqnmark}
\def\@eqnmark#1$${\@@eqnmark#1\eqno\eqno\endlist}
\def\@@eqnmark#1\eqno#2\eqno#3\endlist{\def\EQN{\relax}%
\if ?#3? \@EQNmark#1\EQN\EQN\endlist %
\else\displaylines{\hbox to 0pt{$\eqnmarker$\hss}\hfill{#1}\hfill %
\hbox to 0pt{\hss$#2$}}\fi$$}
\def\@EQNmark#1\EQN#2\EQN#3\endlist{%
\if ?#3?\displaylines{\hbox to 0pt{$\eqnmarker$\hss}\hfill{#1}\hfill}%
\else \let\@eqno=\relax %
\EQNdisplaylines{\hbox to 0pt{$\eqnmarker$\hss}\hfill{#1}\hfill %
\hbox to 0pt{\hss$\EQNOparse#2;;\endlist$}}\fi}
%>>> EOF TXSeqns.tex <<<
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