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-rw-r--r--Master/texmf-dist/doc/latex/cases/README14
-rw-r--r--Master/texmf-dist/doc/latex/cases/cases.pdfbin319574 -> 334794 bytes
-rw-r--r--Master/texmf-dist/doc/latex/cases/cases.tex232
-rw-r--r--Master/texmf-dist/tex/latex/cases/cases.sty249
4 files changed, 324 insertions, 171 deletions
diff --git a/Master/texmf-dist/doc/latex/cases/README b/Master/texmf-dist/doc/latex/cases/README
new file mode 100644
index 00000000000..ee694332bfb
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/cases/README
@@ -0,0 +1,14 @@
+cases.sty version 3.0 2020/02/22
+
+Copyright 1993, 1994, 1995, 2000, 2002, 2020 by Donald Arseneau,
+asnd@triumf.ca, Vancouver, Canada.
+These macros may be freely transmitted, reproduced, or modified
+provided that this notice is left intact. Sub-equation numbering
+is based on subeqn.sty by Stephen Gildea; parts are based on LaTeX's
+eqnarray by Leslie Lamport and the LaTeX3 team; and some on
+amsmath.sty by the American Mathematical Society.
+
+This package provides a LaTeX environment "numcases" to produce
+multi-case equations with a separate equation number for each case.
+There is also a "subnumcases" environment which numbers each case
+with the overall equation number plus a letter [8a, 8b, etc.].
diff --git a/Master/texmf-dist/doc/latex/cases/cases.pdf b/Master/texmf-dist/doc/latex/cases/cases.pdf
index 2274952e82f..21e48d54ff8 100644
--- a/Master/texmf-dist/doc/latex/cases/cases.pdf
+++ b/Master/texmf-dist/doc/latex/cases/cases.pdf
Binary files differ
diff --git a/Master/texmf-dist/doc/latex/cases/cases.tex b/Master/texmf-dist/doc/latex/cases/cases.tex
index 93311c2b1d9..f2bb343590b 100644
--- a/Master/texmf-dist/doc/latex/cases/cases.tex
+++ b/Master/texmf-dist/doc/latex/cases/cases.tex
@@ -1,148 +1,210 @@
\documentclass[DIV=9, pagesize=auto]{scrartcl}
-\usepackage{fixltx2e}
\usepackage{lmodern}
\usepackage[T1]{fontenc}
\usepackage{textcomp}
\usepackage{amsmath}
\usepackage{cases}
\usepackage{microtype}
-\usepackage{hyperref}
-
+\usepackage{shortvrb}
+\usepackage[colorlinks]{hyperref}
+\MakeShortVerb"
+\newcommand*\kp[1]{\kern#1pt}
\newcommand*{\fancybreak}{%
- \par
- \nopagebreak\medskip\nopagebreak
- \noindent\null\hfill$*\quad*\quad*\quad$\hfill\null\par
- \nopagebreak\medskip\pagebreak[0]%
+ \par \medbreak \vspace{0pt plus 1cm}\penalty 500 \vspace{0pt plus -1cm}%
}
\newcommand*{\mail}[1]{\href{mailto:#1}{\texttt{#1}}}
\newcommand*{\pkg}[1]{\textsf{#1}}
\newcommand*{\cmd}[1]{\texttt{\string#1}}
\newcommand*{\env}[1]{\texttt{#1}}
\newcommand*{\meta}[1]{\textlangle\textsl{#1}\textrangle}
+\newcommand*{\opt}[1]{\texttt{[#1]}}
-\addtokomafont{title}{\rmfamily}
+%\addtokomafont{title}{\rmfamily}
-\title{The \pkg{cases} package\thanks{This manual corresponds to \pkg{cases}~v2.5, dated~May 2002.}}
+\title{The \pkg{cases} package%
+ \textnormal{\thanks{~~This manual corresponds to \pkg{cases}~v3.0, dated 2020/02/22.}}}
\author{Donald Arseneau\\\mail{asnd@triumf.ca}}
-\date{May 2002}
+\date{Feb 2020}
\begin{document}
\maketitle
-\begingroup
-\small
+\begin{small}
\noindent
-Copyright \textcopyright~1993, 1994, 1995, 2000, 2002 by Donald Arseneau, \mail{asnd@triumf.ca}.
+Copyright \textcopyright~1993, 1994, 1995, 2000, 2002, 2020 by Donald Arseneau, \mail{asnd@triumf.ca}.
These macros may be freely transmitted, reproduced, or modified
provided that this notice is left intact. Sub-equation numbering
-is based on \pkg{subeqn.sty} by Stephen Gildea; most of the rest is based
-on \LaTeX's \cmd{\eqnarray} by Leslie Lamport and the \LaTeX3 team.
+is based on \pkg{subeqn.sty} by Stephen Gildea; parts are based
+on \LaTeX's \env{eqnarray} by Leslie Lamport and the \LaTeX3 team;
+and some on amsmath.sty by the American Mathematical Society.
\par
-\endgroup
+\end{small}
-\fancybreak
+\section*{Description}
-This provides a \LaTeX\ environment \verb+{numcases}+ to produce multi-case
-equations with a separate equation number for each case. There is
-also \verb+{subnumcases}+ which numbers each case with the overall equation
+The \pkg{cases} package provides a \LaTeX\ environment \env{numcases} to produce
+multi-case equations with a separate equation number for each case. There is
+also \env{subnumcases} which numbers each case with the overall equation
number plus a letter [8a, 8b, etc.]. The syntax is
%
-\begin{verbatim}
-\begin{numcases}{left_side}
- case_1 & explanation_1 \\
- case_2 & explanation_2 \\
- ...
- case_n & explanation_n
-\end{numcases}
-\end{verbatim}
+\begin{flushleft}
+"\begin{numcases}{"~\meta{left side}~"}"\\
+\quad \meta{case 1\kp1} "&" \meta{explanation 1\kp1} "\\" \\
+\quad \meta{case 2\kp2} "&" \meta{explanation 2\kp2} "\\" \\
+\quad .~.~.\\
+\quad \meta{case $n$} "&" \meta{explanation $n$} \\
+"\end{numcases}"
+\end{flushleft}
%
-Each \meta{case} is a math formula, and each \meta{explanation} is a piece of lr mode
-text (which may contain math mode in \verb+\(...\)+ or \verb+$...$+). The explanations
+Each \meta{case} is a math formula, to be typeset in display-math mode, like
+in a regular numbered equation. Each \meta{explanation} is a piece of lr-mode
+text (which may contain math mode in "\("\,\dots"\)" or "$"\,\dots"$"). The explanations
are optional. Equation numbers are inserted automatically, just as for
the \env{eqnarray} environment. In particular, the \cmd{\nonumber} command suppresses
an equation number and the \cmd{\label} command allows reference to a particular
-case. In a \env{subnumcases} environment, a \cmd{\label} in the \meta{left\_side} of the
+case. In a \env{subnumcases} environment, a \cmd{\label} in the \meta{left side} of the
equation gives the overall equation number, without any letter.
To use this package,
-include ``\verb+\usepackage{cases}+'' after ``\cmd{\documentclass}''. You may also
-specify ``\verb+\usepackage[subnum]{cases}+'' to force \emph{all} \env{numcases}
-environments to be treated as \env{subnumcases}.
-
-\emph{Question:} Is there a \verb+{numcases*}+ environment for
-unnumbered cases?\\
-\emph{Answer:} There is a \verb+{cases}+
-environment in \AmS-\LaTeX, but it is just as convenient to stick
-with the canonical \LaTeX\ array:
-%
-\begin{verbatim}
-\[ left side = \left\{ \begin{array}...\end{array} \right. \]
-\end{verbatim}
-%
-Speaking of \pkg{\AmS-math}, they use an entirely different system
-of equation numbering, and this package uses ordinary \LaTeX\ %
-numbering.
+include "\usepackage{cases}" after \cmd{\documentclass}, and also after
+"\usepackage{amsmath}" if you are using that.
\fancybreak
-\noindent
+\noindent \emph{Question:} Is there a \env{numcases*} environment for
+unnumbered cases?\\
+\emph{Answer:} That would have the natural name \env{cases}, and it is
+provided by \AmS-\LaTeX\ (\pkg{amsmath} package), or by this package given
+the \opt{cases} option. It can also be achieved by using an ordinary \LaTeX\ array
+between `"\left\lbrace\ "' and `"\right."'.
+
+Speaking of \pkg{amsmath} and package options, there are differences between the
+style used for this package and the cases done by \pkg{amsmath} (see below), but cases.sty
+has options to increase compatibility. Here is the full list of options for
+this package.
+\begin{description}
+\item[\opt{subnum}] Force all \env{numcases} environments to be treated as
+ \env{subnumcases}.
+\item[\opt{amsstyle}] For compatibility with \pkg{amsmath}'s \env{cases}, make \env{numcases}
+ use cramped math style ("\textstyle"), and put explanations in the same math style.
+\item[\opt{casesstyle}] Change \pkg{amsmath}'s \env{cases} environment to work in the text/math style
+ of \env{numcases}.
+\item[\opt{cases}] Define a \env{cases} environment for use without \pkg{amsmath}. (This
+ is actually the same as the \opt{casesstyle} option.)
+\item[\opt{fleqn}] Flush-left equation alignment, indented by \cmd{\mathindent}
+ or \cmd{\mathmargin}. (Usually inherited from the \cmd{\documentclass} options.)
+\item[\opt{leqno}] Left-side equation numbering (usually inherited from the \cmd{\documentclass}
+ options). This looks silly with numbered cases!
+\end{description}
+
+\section*{Examples}
+
A simple example is:
%
\begin{verbatim}
-\begin{numcases}{|x|=}
- x, & for $x \geq 0$\\
- -x, & for $x < 0$
-\end{numcases}
+ \begin{numcases} {|x|=}
+ x, & for $x \geq 0$\\
+ -x, & for $x < 0$
+ \end{numcases}
\end{verbatim}
%
Giving:
%
-\begin{numcases}{|x|=}
+\begin{numcases} {|x|=}
x, & for $x \geq 0$\\
-x, & for $x < 0$
\end{numcases}
\fancybreak
-
\noindent
-Another example is calculating the square root of $c+id$. First compute
-\phantomsection
-\begin{subnumcases}{\label{w} w\equiv}
- 0 & $c = d = 0$\label{wzero}\\
- \sqrt{|c|}\,\sqrt{\frac{1 + \sqrt{1+(d/c)^2}}{2}} & $|c| \geq |d|$ \\
- \sqrt{|d|}\,\sqrt{\frac{|c/d| + \sqrt{1+(c/d)^2}}{2}} & $|c| < |d|$
+Another example, employing sub-numbering, is calculating the square root
+of a complex number $c+id$. First compute
+\begin{subnumcases} {\label{weqn} w\equiv}
+ 0 & for $c = d = 0$\label{wzero}\\
+ \sqrt{|c|}\,\sqrt{\frac{1 + \sqrt{1+(d/c)^2}}{2}} & for $|c| \geq |d|$ \\
+ \sqrt{|d|}\,\sqrt{\frac{|c/d| + \sqrt{1+(c/d)^2}}{2}} & for $|c| < |d|$
\end{subnumcases}
-Then, using $w$ from eq.~(\ref{w}), the square root is
-\begin{subnumcases}{\sqrt{c+id}=}
- 0 & $w=0$ (case \ref{wzero})\\
- w+i\frac{d}{2w} & $w \neq 0$, $c \geq 0$ \\
- \frac{|d|}{2w} + iw & $w \neq 0$, $c < 0$, $d \geq 0$ \\
- \frac{|d|}{2w} - iw & $w \neq 0$, $c < 0$, $d < 0$
+Then, using $w$ from eq.~(\ref{weqn}), the square root is
+\begin{subnumcases}{\label{sqrteqn} \sqrt{c+id}=}
+ 0\,, \label{aaa} & $w=0$ (case \ref{wzero})\\
+ w+i\frac{d}{2w}\,, & $w \neq 0$, $c \geq 0$ \\
+ \frac{|d|}{2w} + iw\,, & $w \neq 0$, $c < 0$, $d \geq 0$ \\
+ \frac{|d|}{2w} - iw\,,\label{ddd} & $w \neq 0$, $c < 0$, $d < 0$
\end{subnumcases}
-
-\pagebreak[2]
-
-\noindent
-This was produced by:
-%
-\small
+These equations, eq.~(\ref{weqn}) and (\ref{sqrteqn}), were produced by:
+\begin{small}
\begin{verbatim}
-Another example is calculating the square root of $c+id$. First compute
-\begin{subnumcases}{\label{w} w\equiv}
- 0 & $c = d = 0$\label{wzero}\\
-\sqrt{|c|}\,\sqrt{\frac{1 + \sqrt{1+(d/c)^2}}{2}} & $|c| \geq |d|$ \\
-\sqrt{|d|}\,\sqrt{\frac{|c/d| + \sqrt{1+(c/d)^2}}{2}} & $|c| < |d|$
+Another example, employing sub-numbering, is calculating the square root
+of a complex number $c+id$. First compute
+\begin{subnumcases} {\label{weqn} w\equiv}
+ 0 & for $c = d = 0$\label{wzero}\\
+ \sqrt{|c|}\,\sqrt{\frac{1 + \sqrt{1+(d/c)^2}}{2}} & for $|c| \geq |d|$ \\
+ \sqrt{|d|}\,\sqrt{\frac{|c/d| + \sqrt{1+(c/d)^2}}{2}} & for $|c| < |d|$
\end{subnumcases}
-Then, using $w$ from eq.~(\ref{w}), the square root is
-\begin{subnumcases}{\sqrt{c+id}=}
-0 & $w=0$ (case \ref{wzero})\\
-w+i\frac{d}{2w} & $w \neq 0$, $c \geq 0$ \\
-\frac{|d|}{2w} + iw & $w \neq 0$, $c < 0$, $d \geq 0$ \\
-\frac{|d|}{2w} - iw & $w \neq 0$, $c < 0$, $d < 0$
+Then, using $w$ from eq.~(\ref{weqn}), the square root is
+\begin{subnumcases}{\label{sqrteqn} \sqrt{c+id}=}
+ 0\,, & $w=0$ (case \ref{wzero})\\
+ w+i\frac{d}{2w}\,, & $w \neq 0$, $c \geq 0$ \\
+ \frac{|d|}{2w} + iw\,, & $w \neq 0$, $c < 0$, $d \geq 0$ \\
+ \frac{|d|}{2w} - iw\,, & $w \neq 0$, $c < 0$, $d < 0$
\end{subnumcases}
\end{verbatim}
+\end{small}
+
+\section*{Compatibilibility with amsmath}
+
+When used in conjunction with amsmath.sty, the cases package will obey the the variant
+commands \cmd{\tag}, \cmd{\notag}, and \cmd{\mathmargin}, however the formatting details
+differ between \pkg{amsmath}'s \env{cases} environment and \env{numcases}.
+For comparison, equation~(\ref{weqn}) formatted by \pkg{amsmath} and its \env{cases} environment
+may be entered as
+\begin{flushleft}\small
+\begin{verbatim}
+\begin{equation}
+\label{wams} w \equiv
+\begin{cases}
+ 0 & \text{for}\ c = d = 0\\
+ \sqrt{|c|}\,\sqrt{\frac{1+\sqrt{1+(d/c)^2}}{2}} &\text{for}\ |c| \geq |d|\\
+ \sqrt{|d|}\,\sqrt{\frac{|c/d| + \sqrt{1+(c/d)^2}}{2}} &\text{for}\ |c|<|d|
+\end{cases}
+\end{equation}
+\end{verbatim}
+\end{flushleft}
+which produces
+\begin{equation}
+\label{wams} w\equiv
+\begin{cases}
+ 0 & \text{for }c = d = 0\\
+ \sqrt{|c|}\,\sqrt{\frac{1+\sqrt{1+(d/c)^2}}{2}} & \text{for}\ |c| \geq |d| \\
+ \sqrt{|d|}\,\sqrt{\frac{|c/d| + \sqrt{1+(c/d)^2}}{2}} & \text{for}\ |c| < |d|
+\end{cases}
+\end{equation}
+To get this more compact layout with \env{numcases} you can insert "\textstyle"
+at the beginning of each case, as needed, or use the \pkg{cases}
+package option \opt{amsstyle}.
+To have the \env{cases} environment give the more open layout of eq.~(\ref{weqn})
+you can put "\displaystyle" at the beginning of each case, or use the
+option \opt{casesstyle} for the \pkg{cases} package. (Yes these go with the cases package, they
+are not options for amsmath.)
+
+For full disclosure, even without any relevant package options, cases.sty will
+slightly adjust the \env{cases} environment from \pkg{amsmath}, by adding a little
+space after the left brace.
+
+\section*{Sub-numbering}
+For control of the sub-equation-numbering style, see the
+\AmS-\LaTeX\ documentation for \env{subequations}, currently
+in section 3.11.3. If you are not using amsmath, that documentation
+still mostly applies, except the name for regular equation numbers
+is then `mainequation' instead of `parentequation'. Also, the
+sub-numbering style can be controlled more easily by defining
+\cmd{\thesubequation}. An example for capitalized letters is
+\begin{verbatim}
+\renewcommand\thesubequation{\themainequation.\Alph{equation}} % 13.C
+\end{verbatim}
+
\end{document}
diff --git a/Master/texmf-dist/tex/latex/cases/cases.sty b/Master/texmf-dist/tex/latex/cases/cases.sty
index b82f010a02a..66609ee492c 100644
--- a/Master/texmf-dist/tex/latex/cases/cases.sty
+++ b/Master/texmf-dist/tex/latex/cases/cases.sty
@@ -1,11 +1,12 @@
-% C A S E S . S T Y ver 2.5 May 2002
+% C A S E S . S T Y ver 3.0 Feb 2020
%
-% Copyright (C) 1993,1994,1995,2000,2002 by Donald Arseneau
+% Copyright (C) 1993,1994,1995,2000,2002,2020 by Donald Arseneau
% asnd@triumf.ca
% These macros may be freely transmitted, reproduced, or modified
% provided that this notice is left intact. Sub-equation numbering
% is based on subeqn.sty by Stephen Gildea; most of the rest is based
-% on LaTeX's \eqnarray by Leslie Lamport and the LaTeX3 team.
+% on LaTeX's \eqnarray by Leslie Lamport and the LaTeX3 team,
+% and parts of amsmath.sty by the American Mathematical Society.
%
% This provides a LaTeX environment {numcases} to produce multi-case
% equations with a separate equation number for each case. There is
@@ -27,96 +28,111 @@
% case. In a subnumcases environment, a \label in the left_side of the
% equation gives the overall equation number, without any letter.
%
-% To use this package,
-% include "\usepackage{cases}" after \documentclass. You may also
-% specify "\usepackage[subnum]{cases}" to force *all* numcases
-% environments to be treated as subnumcases.
-%
-% Question: Is there a {numcases*} environment for unnumbered cases?
-% Answer: There is a {cases} environment in AMS-LaTeX, but it is just as
-% convenient to stick with the canonical LaTeX array:
-% \[ left side = \left\{ \begin{array}...\end{array} \right. \]
-%
-% Speaking of AMS-math, they use an entirely different system of equation
-% numbering, and this package uses ordinary LaTeX numbering.
-%
-% - - - - -
-% A simple example is:
-% \begin{numcases}{|x|=}
-% x, & for $x \geq 0$\\
-% -x, & for $x < 0$
-% \end{numcases}
-%
-% Giving:
-% / x for x > 0 (1)
-% |x| = < -
-% \ -x for x < 0 (2)
-%
-% - - - - -
-%
-% Another example is calculating the square root of $c+id$. First compute
-% \begin{subnumcases}{\label{w} w\equiv}
-% 0 & $c = d = 0$\label{wzero}\\
-% \sqrt{|c|}\,\sqrt{\frac{1 + \sqrt{1+(d/c)^2}}{2}} & $|c| \geq |d|$ \\
-% \sqrt{|d|}\,\sqrt{\frac{|c/d| + \sqrt{1+(c/d)^2}}{2}} & $|c| < |d|$
-% \end{subnumcases}
-% Then, using $w$ from eq.~(\ref{w}), the square root is
-% \begin{subnumcases}{\sqrt{c+id}=}
-% 0 & $w=0$ (case \ref{wzero})\\
-% w+i\frac{d}{2w} & $w \neq 0$, $c \geq 0$ \\
-% \frac{|d|}{2w} + iw & $w \neq 0$, $c < 0$, $d \geq 0$ \\
-% \frac{|d|}{2w} - iw & $w \neq 0$, $c < 0$, $d < 0$
-% \end{subnumcases}
-%
-% - - - begin definitions - - -
+% For detailed description and package options, see cases.pdf (cases.tex).
-\ProvidesPackage{cases}[2002/05/02 ver 2.5 ]
+\ProvidesPackage{cases}[2020/02/22 ver 3.0]
+
+\newdimen\numc@numwid
+
+% copy \@@eqncr but change error message and handle \tag{} for amsmath:
+\def\@@numc@cr{\let\reserved@a\relax
+ \ifcase\@eqcnt \def\reserved@a{& & &}\or \def\reserved@a{& &}%
+ \or \def\reserved@a{&}\else
+ \let\reserved@a\@empty
+ \@latex@error{Too many columns in numcases environment}\@ehc\fi
+ \reserved@a \if@eqnsw\@eqnnum\stepcounter{equation}\else \iftag@ \df@tag\fi\fi
+ \global\@eqnswtrue\global\@eqcnt\z@\cr}
+
+\let\iftag@=\iffalse
\newenvironment{numcases}[1]%
-{$$\numc@opts \setbox\z@\hbox
- {\advance\c@equation\@ne\def\@currentlabel{\p@equation\theequation}% local
- $\displaystyle {#1\null}\m@th$}%
- \numc@setsub
+{$$\numc@opts
+ \refstepcounter{equation}% Needed for LHS \label
+ \setbox\z@\hbox {% typeset LHS
+ \def\@currentlabel{\p@equation\theequation}% local def
+ $\displaystyle {#1{}}\m@th$}%
+ \numc@setsub % maybe \subequations (handling \refstepcounter)
+ \def\@currentlabel{\p@equation\theequation}%
+ \global\@eqnswtrue\m@th
+ \def\tag##1{\def\@currentlabel{##1}\tag@in@align{##1}}%
+ \settowidth{\numc@numwid}{\ \advance\c@equation\tw@\numc@eqnnum}%
+ \@tempskipb\@centering
+ \ifx\numc@left\mathindent % fleqn:
+ \@tempskipa=\@ne\mathindent\@minus\@ne\mathindent
+ \ifx\numc@forcenumwid\z@ % leqno
+ \ifdim \numc@numwid>\mathindent % enlarge left space for equation number
+ \@tempskipa=\numc@numwid\@minus\numc@numwid
+ \fi\fi
+ \else % not fleqn:
+ \@tempskipa=\@centering
+ \advance\@tempskipa \numc@numwid\@minus\numc@numwid
+ \advance\@tempskipa \numc@numwid\@minus\numc@forcenumwid
+ \advance\@tempskipb \tw@\numc@numwid\@minus\tw@\numc@numwid
+ \advance\@tempskipb -\numc@forcenumwid\@minus-\numc@forcenumwid
+ \fi
\setbox\tw@\vbox\bgroup
- \stepcounter{equation}\def\@currentlabel{\p@equation\theequation}%
- \global\@eqnswtrue\m@th \everycr{}\tabskip\numc@left\let\\\@eqncr
- \halign to\dimen@ii \bgroup \kern\wd\z@ \kern14\p@ % assume width of brace
- \tabskip\z@skip \global\@eqcnt\@ne $\displaystyle{##}$\hfil
- &\global\@eqcnt\tw@ \skip@10\p@ \advance\skip@\tw@\arraycolsep \hskip\skip@
- ##\unskip\hfil\tabskip\@centering% \unskip removes space if no explanations
- &\global\@eqcnt\thr@@\hbox to\z@\bgroup\hss##\egroup\tabskip\z@skip\cr
-}{\@@eqncr \egroup % end \halign, which does not contain first column or brace
- \global\advance\c@equation\m@ne
-%Measure the natural width of the alignment
- \unskip\unpenalty\unskip\unpenalty \setbox\z@\lastbox % grab last line
- \nointerlineskip \copy\z@ % then put it back
- \global\dimen@i\wd\z@
- \setbox\z@\hbox{\hskip-\numc@left\unhbox\z@}% Measure its natural width
- \ifdim \wd\z@<\dimen@i \global\dimen@i\wd\z@ \fi
-\egroup% end \vbox (box\tw@, box\z@ is restored to LHS)
-\hbox to\dimen@ii{\m@th % assemble the whole equation
- \hskip\numc@left
- \hbox to\dimen@i{$\displaystyle \box\z@ % parameter #1
+ \everycr{}\let\\\@eqncr \let\@@eqncr\@@numc@cr
+ \tabskip\@tempskipa
+ \halign to\dimen@ii \bgroup % white space for LHS followed by RHS
+ \kern\wd\z@ \kern10\p@ % assume width of brace
+ \global\let\iftag@=\iffalse % for amsmath (make sure this is not in if block)
+ \global\@eqcnt\@ne $\numc@dispstyle{##}$\hfil
+ \tabskip\z@skip &% explanation
+ \global\@eqcnt\tw@
+ \numc@expstyle\quad ##\unskip\numc@expstyle\hfil % \unskip removes quad if no explanation
+ \tabskip\@tempskipb &% equation number
+ \global\@eqcnt\thr@@\hbox to\numc@forcenumwid\bgroup\hss##\egroup
+ \tabskip\z@skip\cr
+}{%
+ \@@numc@cr \egroup % end \halign, which does not contain first column or brace
+ \global\advance\c@equation\m@ne
+ % Measure the natural width of the alignment
+ \unskip\unpenalty\unskip\unpenalty \setbox\z@\lastbox % grab last line
+ \nointerlineskip \copy\z@ % then put it back
+ \global\dimen@i\wd\z@
+ \setbox\z@\hbox{\unhbox\z@}% Measure its natural width in \dimen@i
+ \global\dimen@i\wd\z@
+ \egroup% end \vbox (\tw@) box\z@ is restored to LHS; \dimen@i is retained
+ \advance\dimen@i-\@tempskipa \advance\dimen@i-\wd\z@ \advance\dimen@i-10\p@
+ \advance\dimen@i-\@tempskipb
+ % now \@dimen@i is natural width of RHS + explanation + eqno columns
+ \hbox to\wd\tw@{\m@th % assemble the whole equation stretched to display width
+ \hskip\@tempskipa
+ \box\z@ % LHS - parameter #1
+ \hbox to10\p@{\hss$\displaystyle
\dimen@\ht\tw@ \advance\dimen@\dp\tw@ % get size of brace
- \left\{\vcenter to\dimen@{\vfil}\right.\n@space % make brace
- $\hfil}\hskip\@centering % finished first part (filled whole line)
- \kern-\dimen@ii % backspace the full width
- $\vcenter{\box\tw@}$% overlay the alignment
- }% end the \hbox to\dimen@ii
+ \ifdim\dimen@<1.5em\dimen@=1.5em\fi % don't allow really small brace
+ \left\lbrace\vcenter to\dimen@{\vfil}\,\right.\n@space % make brace
+ $\hss}% end 10pt brace box
+ \kern\dimen@i
+ \hskip\@tempskipb
+ }% finished first part (filled whole line) end the \hbox to\wd\tw@
+ \kern-\wd\tw@ % backspace the full width
+ \vcenter{\box\tw@}% overlay the alignment
\numc@resetsub
$$\global\@ignoretrue}
+% a wrapper around \subequations so it works in cases with hyperref and amsmath
+\def\numc@subequations{% skip the \refstepcounter inside \subequations
+ \let\numc@opts\refstepcounter
+ \def\refstepcounter##1{\let\refstepcounter\numc@opts}%
+ \subequations
+ \refstepcounter{equation}}
+
\let\numc@setsub\relax
\let\numc@resetsub\relax
-\def\subnumcases{\let\numc@setsub\subequations
- \let\numc@resetsub\endsubequations \numcases}
+\def\subnumcases{%
+ \let\numc@setsub\numc@subequations
+ \let\numc@resetsub\endsubequations
+ \numcases}
\let\endsubnumcases\endnumcases
% declare subequations -- either defining them following the style of
-% Gildea's subeqn.sty, or using the syntax of AMS-LaTeX if that is loaded.
+% Gildea's subeqn.sty, or using the version from AMS-LaTeX if that is loaded.
-\@ifundefined{c@parentequation}{% No AMS, define subequations from scratch:
+\@ifundefined{c@parentequation}{% No AMS
+\def\numc@eqnnum{\@eqnnum}
%
% These versions of subequations follow the style of Gildea's subeqn.sty,
% but are thoroughly rewritten.
@@ -163,21 +179,82 @@ $$\global\@ignoretrue}
\def\@lab@subeqnarray#1#2{\begingroup
\let\@currentlabel\themainequation #1{#2}\endgroup}
%
-}{}% AMS \subequations already defined
+}{% AMS
+
+% \subequations already defined;
+% use tag format
+\def\numc@eqnnum{\tagform@{\theequation}}
+% add little space after brace to amsmath's cases
+
+\def\@tempa{%
+ \let\@ifnextchar\new@ifnextchar
+ \left\lbrace
+ \def\arraystretch{1.2}%
+ \array{@{}l@{\quad}l@{}}%
+}
+\ifx \env@cases\@tempa % add a bit of space after brace in amsmath cases env
+\def\env@cases{%
+ \let\@ifnextchar\new@ifnextchar
+ \left\lbrace\hskip 2\p@
+ \def\arraystretch{1.2}%
+ \array{@{}l@{\quad}l@{}}%
+}
+\fi
+}% end amsmath branch
\def\numc@left{\@centering}
\def\numc@opts{\dimen@ii\displaywidth}
+\def\numc@forcenumwid{\numc@numwid}
-\DeclareOption{subnum}{
- \let\numc@setsub\subequations
- \let\numc@resetsub\endsubequations }
+\DeclareOption{subnum}{%
+ \let\numc@setsub\numc@subequations
+ \let\numc@resetsub\endsubequations
+}
\DeclareOption{fleqn}{
- \def\numc@left{\mathindent}
- \def\numc@opts{\displaywidth\linewidth
- \dimen@ii\linewidth }
+ \let\numc@left\mathindent
+ \def\numc@opts{\displaywidth\linewidth
+ \dimen@ii\linewidth }
+}
+
+\DeclareOption{leqno}{
+ \let\numc@forcenumwid\z@
}
-\ProcessOptions
+
+\let\numc@expstyle\@empty
+\let\numc@dispstyle\displaystyle
+\DeclareOption{amsstyle}{
+ \def\numc@expstyle{$}% used in pairs for math-mode ($) explanation
+ \let\numc@dispstyle\textstyle
+}
+
+\DeclareOption{casesstyle}{
+ \newcommand\@unnc@casecr[1][\z@skip]{%
+ \cr \noalign{\vskip #1}%
+ }
+ \renewenvironment{cases}{%
+ \let\@ifnextchar\new@ifnextchar
+ \left\lbrace\hskip 2\p@
+ \vcenter to1.3em{}%
+ \vcenter\bgroup
+ \let\\\@unnc@casecr
+ \openup\jot
+ \tabskip\z@skip
+ \halign \bgroup
+ $\numc@dispstyle{##}\m@th$\hfil
+ &\numc@expstyle\quad ##\unskip\numc@expstyle\hfil % \unskip removes space if no explanations
+ \cr
+ }{%
+ \crcr
+ \egroup
+ \egroup
+ \right.\n@space
+ }
+}
+
+\DeclareOption{cases}{\ExecuteOptions{casesstyle}}
+
+\ProcessOptions
\endinput