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| Original file line number | Diff line number | Diff line change |
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| % C A S E S . S T Y ver 3.2 Mar 2020 | ||
| % | ||
| % 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, | ||
| % 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 | ||
| % also {subnumcases} which numbers each case with the overall equation | ||
| % number plus a letter [8a, 8b, etc.]. The syntax is | ||
| % | ||
| % \begin{numcases}{left_side} | ||
| % case_1 & explanation_1 \\ | ||
| % case_2 & explanation_2 \\ | ||
| % ... | ||
| % case_n & explanation_n | ||
| % \end{numcases} | ||
| % | ||
| % Each case is a math formula, and each explanation is a piece of lr mode | ||
| % text (which may contain math mode in \(...\) or $...$). The explanations | ||
| % are optional. Equation numbers are inserted automatically, just as for | ||
| % the eqnarray environment. In particular, the \nonumber command suppresses | ||
| % an equation number and the \label command allows reference to a particular | ||
| % case. In a subnumcases environment, a \label in the left_side of the | ||
| % equation gives the overall equation number, without any letter. | ||
| % | ||
| % For detailed description and package options, see cases.pdf (cases.tex). | ||
|
|
||
| \ProvidesPackage{cases}[2020/03/29 ver 3.2] | ||
|
|
||
| \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 | ||
| \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 | ||
| \let\tag\numc@tag | ||
| \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 | ||
| \everycr{}\let\\\@eqncr \let\@@eqncr\@@numc@cr | ||
| \tabskip\@tempskipa | ||
| \halign to \ifx\numc@left\mathindent \linewidth \else \displaywidth \fi \bgroup | ||
| \kern\wd\z@ \kern10\p@ % white space for LHS; assume (and force) width of brace | ||
| \global\let\iftag@=\iffalse % for amsmath (make sure this is not in \if block) | ||
| \global\@eqcnt\@ne $\numc@dispstyle ##\relax$\hfil % RHS | ||
| \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 | ||
| \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\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 version from AMS-LaTeX if that is loaded. | ||
| \@ifundefined{c@parentequation}{% No AMS | ||
| \def\numc@eqnnum{\@eqnnum} | ||
| % for \tag (but not \tag*) without amsmath, using \@@numc@cr above. | ||
| \def\numc@tag#1{\def\@currentlabel{#1}% | ||
| \gdef\df@tag{\def\theequation{#1}\@eqnnum}% | ||
| \global\let\iftag@=\iftrue | ||
| \nonumber} | ||
| % | ||
| % These versions of subequations follow the style of Gildea's subeqn.sty, | ||
| % but are thoroughly rewritten. | ||
| % | ||
| % You can change the labelling by redefining \thesubequation, but the names | ||
| % of the counters may be confusing: The sub-number is given by counter | ||
| % {equation}, while the overall equation number is given by {mainequation}. | ||
| % There are two ways to reference the overall equation number: | ||
| % through the value of \c@mainequation, as in \Roman{mainequation}, or | ||
| % through \themainequation, which gives the text of the normal \theequation. | ||
| % Refer to the local sub-number with \c@equation, as in \alph{equation}. | ||
| % The default numbering is like 13c, given by: | ||
| % | ||
| \def\thesubequation{\themainequation\alph{equation}} | ||
| % | ||
| % Some alternatives: | ||
| % \def\thesubequation{\themainequation.\Alph{equation}} % 13.C | ||
| % \def\thesubequation{\themainequation-\roman{equation}} % 13-iii | ||
| % \def\thesubequation{(\arabic{mainequation}\alph{equation})} % (13c) | ||
| % The third alternative should be used if a document style has | ||
| % declared \renewcommand{\@eqnnum}{\theequation} and | ||
| % \renewcommand{\theequation}{(\arabic{equation})}, which makes | ||
| % \ref put parentheses around regular equation numbers automatically. | ||
| % | ||
| \def\subequations{\refstepcounter{equation}% | ||
| \mathchardef\c@mainequation\c@equation | ||
| \let\@tempa\protect % * added protection | ||
| \def\protect{\noexpand\protect\noexpand}% * | ||
| \edef\themainequation{\theequation}\let\theequation\thesubequation | ||
| \let\protect\@tempa % * | ||
| \global\c@equation\z@} | ||
| % | ||
| \def\endsubequations{% | ||
| \global\c@equation\c@mainequation | ||
| \global\@ignoretrue} | ||
| % | ||
| % \begin{subeqnarray} works like \begin{subequations}\begin{eqnarray}, | ||
| % with the added feature that a \label command given given at the very | ||
| % beginning of the first entry defines a label for the overall equation | ||
| % number. | ||
| % | ||
| \def\subeqnarray{\subequations\eqnarray\@ifnextchar\label{\@lab@subeqnarray}{}} | ||
| \def\endsubeqnarray{\endeqnarray\endsubequations} | ||
| \def\@lab@subeqnarray#1#2{\begingroup | ||
| \let\@currentlabel\themainequation #1{#2}\endgroup} | ||
| % | ||
| }{% AMS | ||
| % \subequations already defined; | ||
| % use tag format | ||
| \def\numc@eqnnum{\tagform@{\theequation}} | ||
| \def\numc@tag{\tag@in@align} | ||
| % 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{} | ||
| \def\numc@forcenumwid{\numc@numwid} | ||
| \DeclareOption{subnum}{% | ||
| \let\numc@setsub\numc@subequations | ||
| \let\numc@resetsub\endsubequations | ||
| } | ||
| \DeclareOption{fleqn}{ | ||
| \let\numc@left\mathindent | ||
| \def\numc@opts{\displaywidth\linewidth} | ||
| } | ||
| \DeclareOption{leqno}{ | ||
| \let\numc@forcenumwid\z@ | ||
| } | ||
| \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 | ||
| % Send problem reports to asnd@triumf.ca | ||
| Test file integrity: ASCII 32-57, 58-126: !"#$%&'()*+,-./0123456789 | ||
| :;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~ |