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authorNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
committerNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
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+%
+% \iffalse
+%
+% The first part is a comment to the reader(s) of `deleq.dtx'.
+%
+% deleq.dtx Version 4.41b, June 5, 1998
+% (c) 1994-98 by Mats Dahlgren (matsd@sssk.se)
+%
+% Please see the information in file `deleq.ins' on how you
+% may use and (re-)distribute this file. Run LaTeX on the file
+% `deleq.ins' to get a .sty-file, instructions, and an example.
+%
+% This file may NOT be distributed if not accompanied by 'deleq.ins'.
+%
+%<*driver>
+\documentclass[a4paper]{ltxdoc}
+\textwidth=150mm
+\textheight=210mm
+\topmargin=0mm
+\oddsidemargin=5mm
+\evensidemargin=5mm
+%\begin{document}
+ \DocInput{deleq.dtx}
+% \PrintChanges
+\end{document}
+%</driver>
+% \fi
+%
+% \CheckSum{645}
+%
+% \def\filename{deleq.dtx}
+% \def\fileversion{4.41a}
+% \def\filedate{1997/07/07}\def\docdate{1997/06/05}
+% \MakeShortVerb{\|}
+% \date{\docdate}
+% \title{\textsf{deleq} -- a \LaTeX{} Macro for Partial
+% Numbering of Equations\thanks{This document describes
+% \textsf{deleq} version \fileversion , last revised \docdate}}
+% \author{Mats Dahlgren\footnote{Email:\ \texttt{matsd@sssk.se}\ \ \
+% Web:\ \texttt{http://www.homenet.se/matsd/}}}
+% \begin{document}
+% \maketitle
+% \begin{abstract}
+% To enable a more flexible equation numbering, especially
+% ``partial'' equation numbers (`3a', `3b' \textit{etc.}),
+% the \textsf{deleq} package has been developed. It can produce
+% partial equation numbers intermixed with ordinary
+% equation numbers also in an |eqnarray|-like environment,
+% the intermixing can occur within one environment.
+% References to a partially numbered equation can be both the
+% complete equation number (`3b') or only the main equation
+% number (`3').
+% Furthermore, equation numbers can be recycled without
+% disturbing the ordinary equation numbers. The
+% package also provides commands for putting commentatory
+% text in an |eqnarray| environment.
+% Both standard \LaTeX{} class options
+% |leqno| and |fleqn|\footnote{Not all commands of
+% \textsf{deleq} work with the \texttt{fleqn} option.}
+% work with \textsf{deleq}.\\
+% \small This file and the package:\
+% Copyright \copyright\ 1994-1998 by Mats Dahlgren.
+% All rights reserved.
+% \end{abstract}
+%
+% \section{Introduction}
+% \textsf{deleq} is a \LaTeX{} package which makes partial
+% numbering of equations possible. It is meant to be used
+% when numbering such as 3a, 3b, \textit{etc.} is desired.
+% The default is to give an equation number like `3a'
+% without period and with the `a' typeset in roman font.
+% It can be used in |article| as well as |book| and
+% |report| document classes. The examples given below are
+% valid for the |article| class. \textsf{deleq} is fully
+% compatible with the |leqno| documentclass option and
+% almost fully with the |fleqn| class option.
+% Equations can be numbered either 3, 3a, 3b, $\ldots$, or
+% 2, 3a, 3b, $\ldots$. Also, equation numbers within
+% |eqnarray|-like environments can be numbered 3, 3a, 3b,
+% $\ldots$ or starting at 3a, which can follow both after
+% equation 2b or 3. An |eqnarray|-like environment can have
+% its first equation numbered 3b if the nearest previous
+% equation is 3a. Within one |eqnarray|-like environment,
+% equations can be numbered 3a, 3b, 4, 4a, 4b, 5a, 5b,
+% \textit{etc.}, and also not numbered lines are possible
+% (`|\nonumber|' works with some limitations).
+% Furthermore, equation numbers can
+% be ``recycled''. If equation 3 is repeated after
+% equation 8, it can still have the numbering set to 3,
+% and be followed by (a new) equation 9. ``Recycled''
+% equation numbers can receive partial numbers (3a, 3b,
+% $\ldots$); partially numbered equations can also be
+% ``recycled'' (but at this stage, the latter can not
+% receive new partial numbers neatly, it will come out
+% like `3ba' if eqution 3b is the ``recycled'' equation).
+% Two commands are supplied which enable the user to write
+% commentary texts in |eqnarray|-like environments without
+% interfering with the alignment.
+%
+% This userguide is also available in \texttt{.pdf}-format
+% on the internet. It is found from my \LaTeX\ web page:
+% \texttt{http://www.homenet.se/matsd/latex/}
+%
+% \subsection{History}
+% |deleq.sty| was originally written for \LaTeX{} 2.09,
+% and contained several commands which became obsolete
+% with the introduction of \LaTeXe. These commands have
+% been removed. The first release for \LaTeXe{} was v.4.0,
+% of Oct.~14, 1994. The December 1994 release
+% (v.4.1, Dec.~27, 1994) was the first which was compatible with the
+% |docstrip| utility of Johannes Braams, Denys Duchier and
+% Frank Mittelbach. In release v.4.2 new
+% abilities to reference entire |deqarr| and |ddeqar|
+% environments and enhanced abilities for recycled
+% equation numbers were introduced.
+% Also in \textsf{deleq} v.4.2 this
+% documentation was revised and some internal commands
+% compacted.
+% A previous release, v.4.3, was made nessecary
+% because the changed handeling of arguments in connection
+% with the options in \LaTeXe{} of 1995/06/01.
+% In release v.4.4, compatibility with the \LaTeX{}
+% class option |fleqn| was
+% introduced.\footnote{\texttt{fleqn} incompatibility was
+% pointed out by Peter Kruijt (\texttt{peterk@wfw.wtb.tue.nl})}
+% In v.4.41 only some changes to the documentation have been introduced.
+%
+% \textsf{deleq} version 4.41 has been tested with \LaTeXe{}
+% of 1997/06/01 running \TeX{} 3.14159 in MiK\TeX{} 1.07
+% under Windows~95. Please send bug reports (see below),
+% corrections, additions, suggestions, \textit{etc.}\ to
+% me at \texttt{matsd@sssk.se}.
+% Version 3.02 is the last
+% (non-supported) version for \LaTeX{} 2.09. (Command names
+% are a mixture of \LaTeX , Swedish and a bit of the
+% author's fantasy$\ldots$)
+%
+% \subsection{Known Problems}
+% \begin{itemize}
+% \item \DescribeMacro{\eqreqno} \DescribeMacro{\deqreqno}
+% \DescribeMacro{\ddeqreqno} \DescribeEnv{deqarr}
+% \DescribeEnv{ddeqar} \DescribeMacro{\jotbaseline}
+% When using |\eqreqno|, |\deqreqno|, and |\ddeqreqno|
+% on the last line in a |deqarr|, |ddeqar|, |eqnarray|, or
+% |eqnarray*|, there will be an extra blank line with an
+% equation number (not in the |*| form) at the end of the
+% environment. To avoid this problem, use\\
+% | \eqreqno[-\jotbaseline]{FOO} \nonumber|\\
+% instead of
+% |\eqreqno{FOO}| (the analogues for |\deqreqno| and
+% |\ddeqreqno| are obvious).
+% \end{itemize}
+%
+% \section{Userguide}
+% \subsection{Requirements}
+% The file |deleq.sty| must be available in the user's
+% |TEXINPUTS| directories.
+% It requires \LaTeXe{} of 1996/12/01 (or newer).
+%
+% \subsection{Usage}
+% The package is included by stating\\
+% | \usepackage{deleq}| \\
+% In the document preamble.
+% The documentclass option |leqno| is fully supported,
+% and the option |fleqn| is recognized by the environments
+% defined in \textsf{deleq}.
+% Other class or package options do not have any effect on
+% \textsf{deleq}.
+%
+% \subsection{Environments}
+% The package defines the following five environments:
+% \begin{description}
+% \item{\texttt{deqn}} \DescribeEnv{deqn}
+% is an equation environment for automatic
+% numbering of the first equation of type `3a';
+% \item{\texttt{ddeqn}} \DescribeEnv{ddeqn}
+% is an equation used for automatic numbering
+% of the equations following the one in |deqn|, see also details
+% below;
+% \item{\texttt{deqarr}} \DescribeEnv{deqarr}
+% is an environment for automatic partial equation
+% numbering in |eqnarray|-like environment with
+% |deqn| functionality for the first equation;
+% \item{\texttt{ddeqar}} \DescribeEnv{ddeqar}
+% similar to |deqarr| environment, but
+% with |ddeqn| behaviour for the first equation, see details below;
+% \item{\texttt{deqrarr}} \DescribeEnv{deqrarr}
+% this is an `|eqnarray|'-like environment
+% specially designed for recycled equation numbers.
+% \end{description}
+%
+% \subsection{Commands}
+% The package defines the following fourteen user commands:\\
+% \hspace*{5mm}|\nydeqno|\\
+% \hspace*{5mm}|\heqno|\\
+% \hspace*{5mm}|\reqno{FOO}|\\
+% \hspace*{5mm}|\rndeqno{FOO}|\\
+% \hspace*{5mm}|\rdeqno{FOO}|\\
+% \hspace*{5mm}|\eqreqno[|\textit{len}|]{FOO}|\\
+% \hspace*{5mm}|\deqreqno[|\textit{len}|]{FOO}|\\
+% \hspace*{5mm}|\ddeqreqno[|\textit{len}|]{FOO}|\\
+% \hspace*{5mm}|\arrlabel{FOO}|\\
+% \hspace*{5mm}|\where|\\
+% \hspace*{5mm}|\rem{|\textit{text}|}|\\
+% \hspace*{5mm}|\nydeleqno|\\
+% \hspace*{5mm}|\deleqno|\\
+% \hspace*{5mm}|\jotbaseline|\\
+%
+% \subsection{Notice}
+% \begin{enumerate}
+% \item
+% \DescribeMacro{\nydeqno} \DescribeMacro{\heqno}
+% \DescribeMacro{\arrlabel} \DescribeEnv{deqarr}
+% \DescribeEnv{ddeqarr}
+% The use of |\arrlabel| may give unexpected results if
+% any of the commands |\nydeqno| or |\heqno| is used in the
+% same |deqarr| or |ddeqar| environment.
+% \item If you use |\nydeqno|,
+% |\heqno|, |\reqno|, |\rndeqno|, |\rdeqno|,
+% |\deqreqno|, |\ddeqreqno|, |\nydeleqno|, or |\deleqno| in
+% combination with |\label{FOO}|, |\label{FOO}| should
+% appear after the \textsf{deleq}-command;
+% \item If you change the appearance of equation numbers
+% (\textit{e.g.}\ use
+% `[2]' instead of `(2)'), \textsf{deleq}'s commands may not typeset
+% equations with partial numbers like your ordinary
+% equations.
+% \item The class option |fleqn| is not recognized by the
+% commands |\reqno|, |\rndeqno|, |\rdeqno|, |\nydeleqno|, and
+% |\deleqno|.
+% \end{enumerate}
+%
+% \section{Syntax}
+% Here follows a more detailed description of the
+% different environments and commands.
+% \begin{description}
+% \item{|\begin{deqn} ... \end{deqn}|} \DescribeEnv{deqn} \\
+% Typesets an equation just like
+% |\begin{equation} ... \end{equation}| does, but gives it
+% a number such as `3a' instead of `3' (always `a'). It
+% steps the main equation counter.
+%
+% \item{|\begin{ddeqn} ... \end{ddeqn}|} \DescribeEnv{ddeqn} \\
+% Typesets an equation just like
+% |\begin{equation} ... \end{equation}| does, but gives it
+% a number such as `3b', `3c', $\ldots$ instead of `3',
+% `4', $\ldots$ when following after another partially
+% numbered equation. When following after an ordinarily
+% numbered equation (`3') it gives a partial equation
+% number with the last used ordinary equation number,
+% \textit{e.g.}\ `3a'. Can be made to produce the result
+% of |deqn| environment by the use of |\nydeqno| (see
+% below). |ddeqn| does not step the main equation counter.
+%
+% \item{|\begin{deqarr} ... \end{deqarr}|} \DescribeEnv{deqarr} \\
+% Typesets an equation array just like
+% |\begin{eqnarray} ... \end{eqnarray}| does, but gives
+% the first numbered equation a number like `3a' instead
+% of `3' (always `a'), and the following `3b', `3c'
+% \textit{etc.} It steps the main equation counter.
+% The |\nonumber| command works just like
+% in the |eqnarray| environment on the partial equation
+% counter. Thus, if you use |\nonumber| on all lines in an
+% |deqarr| environment (or on all lines before or between
+% |\heqno| or |\nydeleqno|) the equation numbering in your
+% document will be incorrect. There is no warning issued by
+% \LaTeX{} if this happends. If you want blank lines and
+% then a |\heqno|'ed equation followed by partially numbered
+% equations, use the |ddeqar| environment instead. The same
+% is true for |\nydeqno|'ed equations.
+%
+% \item{|\begin{ddeqar} ... \end{ddeqar}|} \DescribeEnv{ddeqar} \\
+% Typesets an equation array just like
+% |\begin{eqnarray} ... \end{eqnarray}| does, but gives
+% the equation numbers such as `3a' if following after an
+% equation numbered `3' (ordinary equation number) and
+% numbers such as `3c' if following after a partially
+% numbered equation `3b'. Can be made to produce the
+% result of |deqarr| environment by the use of |\nydeqno|.
+% |ddeqar| does not step the main equation counter.
+% The |\nonumber| command works like in the
+% |deqarr| environment.
+%
+% \item{|\begin{deqrarr} ... \end{deqrarr}|} \DescribeEnv{deqrarr} \\
+% This environment is meant to host recycled equations and has
+% |eqnarray| structure. By default, it issues no equation
+% number at all on a line which ends with |\\|. The use of
+% |\label{FOO}| within |deqrarr| returns the present partial
+% equation number of recycled equations (just like with
+% |\rndeqno| and |\rdeqno|). Note that neither |\heqno|
+% nor |\nydeleqno| gives any equation numbers at all in the
+% |deqrarr| environment.
+%
+% \item{|\nydeqno|} \DescribeMacro{\nydeqno} \\
+% Used within |deqarr| and |ddeqar| environments to
+% step the main equation number by one and reset the
+% partial equation number to `a'; thus, |\nydeqno| gives
+% equation number `4a' when following after equation `3c'.
+%
+% \item{|\heqno|} \DescribeMacro{\heqno} \\
+% Used within |deqarr| and |ddeqar|
+% environments to step the main equation number by one and
+% to produce an ordinary equation number; thus, gives
+% equation number `4' when following equation `3c'.
+% Equations following the |\heqno|-ed will be partially
+% numbered with the |\heqno|-ed equation's number as the
+% main number, \textit{e.g.}\ `4a' (unless it has a |\nydeqno|
+% command, which in this case would produce the equation
+% number `5a').
+%
+% \item{|\reqno{FOO}|} \DescribeMacro{\reqno} \\
+% Is used when repeating an equation with its original
+% number, ``recycling'' the eqaution number.
+% |\reqno| takes the argument |FOO|, which has to be defined
+% by a |\label{FOO}| in the original equation. It can
+% only be used within |$$ ... $$|. It does not affect the
+% equation number counter, nor the ordinary partial equation number
+% counter. However, it resets the partial equation number
+% counter for the |\rndeqno|, |\rdeqno|, |\deqreqno|, and
+% |\ddeqreqno| commands. If used with a |\label{FOOO}|
+% command, the |.aux|-file will only contain the page number
+% of label |FOOO|. This command is not compatible with the
+% class option |fleqn|. Instead of |$$ ... \reqno{FOO} $$|,
+% use a one-line |deqrarr| environment with the commands
+% |\eqreqno[-\jotbaseline]{FOO} \nonumber| at the end.
+%
+% \item{|\rndeqno{FOO}|} \DescribeMacro{\rndeqno} \\
+% Adds a partial equation number to an old equation number,
+% specified by the |FOO| label. If |FOO| refers to equation
+% `4', |\rdeqno{FOO}| will result in equation number `4a'
+% (always `a'). It can only be used within
+% |$$ ... $$|. It does not affect the equation number counter,
+% nor the ordinary partial equation number counter. However, it
+% resets the partial equation number counter for the
+% |\rndeqno|, |\rdeqno|, |\deqreqno|, and |\ddeqreqno| commands.
+% The argument of |\rndeqno| follows the same rules as that of
+% |\reqno|. When used with the |\label{FOOO}| command, a
+% reference to |FOOO| will only return the partial equation
+% number (and the page number). To make a complete reference
+% to an equation which has a |\rndeqno| command, say
+% |\ref{FOO}\ref{FOOO}|. This command is not compatible with the
+% class option |fleqn|. Instead of |$$ ... \rndeqno{FOO} $$|,
+% use a one-line |deqrarr| environment with the commands
+% |\deqreqno[-\jotbaseline]{FOO} \nonumber| at the end.
+%
+% \item{|\rdeqno{FOO}|} \DescribeMacro{\rdeqno} \\
+% Same as |\rndeqno{FOO}| but without resetting any
+% equation number counter and giving consecutive partial
+% equation numbers (`4b', `4c', \textit{etc.}).
+% \textbf{Note: } There is nothing preventing the
+% repeated use of |\rndeqno{FOO}| and |\rdeqno{FOO}| for
+% the same label |FOO|. This will result in numbering such
+% as `3a' (if |FOO| refers to equation `3') occuring several
+% times. This command is not compatible with the
+% class option |fleqn|. Instead of |$$ ... \rdeqno{FOO} $$|,
+% use a one-line |deqrarr| environment with the commands
+% |\ddeqreqno[-\jotbaseline]{FOO} \nonumber| at the end.
+%
+% \item{|\eqreqno[|\textit{len}|]{FOO}|}
+% \DescribeMacro{\eqreqno} \\
+% This command is the array-like version of |\reqno{FOO}| and
+% is used in much the same way. The optional argument \textit{len}
+% is a length which is added between consecutive rows in the array-like
+% structure. When using |\eqreqno| no `|\\|' should be issued
+% at the end of the line, it is embedded in the command. This
+% is giving a strange appearance if |\eqreqno| is used on the
+% last line of the array-like sturcture, namely an extra blank
+% line (with equation number). To avoid this problem, specify
+% a negative length for \textit{len}, preferably `|-\jotbaseline|'
+% (se below), and issue a `|\nonumber|' afterwards.
+%
+% \item{|\deqreqno[|\textit{len}|]{FOO}|}
+% \DescribeMacro{\deqreqno} \\
+% This is the `|\rndeqno|' version of `|\eqreqno|' and is used
+% as the former with the latter's abilities at the end of a
+% line.
+%
+% \item{|\ddeqreqno[|\textit{len}|]{FOO}|}
+% \DescribeMacro{\ddeqreqno} \\
+% This is the `|\rdeqno|' version of `|\eqreqno|' and is used
+% as the former with the latter's abilities at the end of a
+% line.
+%
+% \item{|\arrlabel{FOO}|} \DescribeMacro{\arrlabel} \\
+% This command is a version of \LaTeX 's ordinary
+% |\label{FOO}| command meant to be used in |deqarr| and
+% |ddeqar| environments. In these environments, a
+% |\label{FOO}| command gives a reference to the specific
+% equation, \textit{e.g.}\ 3b, whereas |\arrlabel{FOO}| in the
+% same position gives a reference containing only the main
+% equation number, 3 in this example. For restrictions, see
+% the section ``Notice'' above. The four commands |\eqreqno|,
+% |\deqreqno|, |\ddeqreqno|, and |\arrlabel| were created after
+% inspiration from Larry Jones (\texttt{schnuff@mit.edu}).
+%
+% \item{|\where|} \DescribeMacro{\where} \\
+% The command |\where| typsets the text ``where'' (in
+% the default LR-font) flush left on a seperate row in
+% |eqnarray|, |deqarr|, |ddeqar|, and |deqrarr| environments,
+% and preserves the environment's alignment for rows to come.
+%
+% \item{|\rem{|\textit{text}|}|} \DescribeMacro{\rem{text}} \\
+% The command |\rem{|\textit{text}|}| typsets the text
+% ``\textit{text}'' (in the default LR-font) flush left on
+% a seperate row in |eqnarray|, |deqarr|, |ddeqar|, and |deqrarr|
+% environments, and preserves the environment's alignment
+% for rows to come. |\where| is equivalent to
+% |\rem{where}|.
+%
+% \item{|\nydeleqno|} \DescribeMacro{\nydeleqno} \\
+% Gives a new partial equation number when used within |$$ ... $$|.
+% Thus, writing |$$ ...| |\nydeleqno $$| is equivalent to
+% writing |\begin{deqn} ... \end{deqn}|.
+% This command is not compatible with the
+% class option |fleqn|, use |\begin{deqn} ... \end{deqn}|
+% instead.
+%
+% \item{|\deleqno|} \DescribeMacro{\deleqno} \\
+% Gives a partial equation number when used within |$$ ... $$|.
+% Thus, writing |$$ ...| |\deleqno| |$$| is equivalent to
+% writing |\begin{ddeqn} ... \end{ddeqn}|.
+% This command is not compatible with the
+% class option |fleqn|, use |\begin{ddeqn} ... \end{ddeqn}|
+% instead.
+%
+% \item{|\jotbaseline|} \DescribeMacro{\jotbaseline} \\
+% This is a rubber length which is set to be the sum of
+% |\baselinsekip| and |\jot| each time a |deqarr|, |ddeqar|,
+% or a |deqrarr| environment is enterd. It is meant to be
+% used with the |\eqreqno| command and its relatives to
+% eliminate the problems when these commands are used on the
+% last line of the environment. (The length |\baselineskip| +
+% |\jot| is the length \LaTeX{} skips between two
+% empty lines in an `|eqnarray|' environment and its
+% derivates defined in \textsf{deleq}.)
+%
+% \end{description}
+%
+% \section{Example}
+% After running \LaTeX{} on |deleq.ins|, there is an
+% example avaliable in the file |delex.tex|,
+% which makes use of all the environments and commands
+% defined in the \textsf{deleq} package. Typset it and see with
+% your own eyes what the results are!
+%
+%
+% \section{Sending a Bug Report}
+% \textsf{deleq} is most likely to contain bugs.
+% Reports of bugs in the package are most welcome.
+% Before filing a bug report,
+% please take the following actions:
+% \begin{enumerate}
+% \item Ensure your problem is not due to your inputfile;
+% \item Ensure your problem is not due to
+% your own package(s) or class(es);
+% \item Ensure your problem is not covered in the section
+% ''Known Problems'' above;
+% \item Try to locate the problem by writing a minimal
+% \LaTeX{} input file which reproduces the problem.
+% Include the command\\
+% | \setcounter{errorcontextlines}{999}|\\
+% in your input;
+% \item Run your file through \LaTeX{};
+% \item Send a description of your problem, the input file
+% and the log file via e-mail to:\\
+% | matsd@sssk.se|
+% \end{enumerate}
+% {\itshape Enjoy your \LaTeX!\raisebox{-\baselineskip}{mats d.}}
+% \StopEventually{\par\vfill\hfill{\scriptsize Copyright
+% \copyright{} 1994-98 by Mats Dahlgren.}}
+% \newpage
+%
+% \section{The Code}
+% For the interested reader(s), here is a short description
+% of the code. \par
+% \iffalse
+%<*paketkod>
+% Part 1: Identification etc.
+% \fi
+% First, the package is to identify itself.
+% \begin{macrocode}
+\NeedsTeXFormat{LaTeX2e}[1996/12/01]
+\ProvidesPackage{deleq}[1997/07/07 v.4.41 Partial equation numbering]
+\def\deleqver{\textsf{deleq} version 4.41 (July~7, 1997)}
+% \end{macrocode}
+% \iffalse
+% Part 2: Counters and internal commands, etc.
+% \fi
+% \par Then, we need to define the counters used for the partial
+% part of the equation number. The counter |Deleq| is used for
+% ``recycled'' equation numbers, hence no dependence on any other
+% counter.
+% \begin{macrocode}
+\newcounter{deleq}[equation]
+\newcounter{Deleq}
+\newlength{\jotbaseline}
+\renewcommand{\thedeleq}{\ensuremath{\theequation\mathrm{\alph{deleq}}}}
+\renewcommand{\theDeleq}{\ensuremath{\mathrm{\alph{Deleq}}}}
+\def\@deleqnnum{(\thedeleq)}
+\def\@deleqrnum#1{(\ref{#1}\theDeleq)}
+\def\@eqrnum#1{(\ref{#1})}
+% \end{macrocode}
+% The parts making up the |\\| command in the multiline environments
+% are similar to those used by the standard environments
+% (at least how they looked some time ago):
+% \begin{macrocode}
+\def\@deqncr{{\ifnum0=`}\fi\@ifstar{\global\@eqpen\@M
+ \@ydeqncr}{\global\@eqpen\interdisplaylinepenalty \@ydeqncr}}
+\def\@ydeqncr{\@ifnextchar [{\@xdeqncr}{\@xdeqncr[\z@]}}
+\def\@xdeqncr[#1]{\ifnum0=`{\fi}\@@deqncr
+ \noalign{\penalty\@eqpen\vskip\jot\vskip #1\relax}}
+\def\@@deqncr{\let\@tempa\relax
+ \ifcase\@eqcnt \def\@tempa{& & &}\or \def\@tempa{& &}%
+ \else \def\@tempa{&}\fi
+ \@tempa \if@eqnsw\@deleqnnum\stepcounter{deleq}\fi
+ \global\@eqnswtrue\global\@eqcnt\z@\cr}
+\newcommand{\@xeqrcr}[2]{\ifnum0=`{\fi}\@@eqrcr{#2}
+ \noalign{\penalty\@eqpen\vskip\jot\vskip #1\relax}}
+\def\@@eqrcr#1{\let\@tempa\relax
+ \ifcase\@eqcnt \def\@tempa{& & &}\or \def\@tempa{& &}%
+ \else \def\@tempa{&}\fi
+ \@tempa \if@eqnsw\@eqrnum{#1}\fi
+ \global\@eqnswtrue\global\@eqcnt\z@\cr}
+\newcommand{\@xdeqrcr}[2]{\ifnum0=`{\fi}\@@deqrcr{#2}
+ \noalign{\penalty\@eqpen\vskip\jot\vskip #1\relax}}
+\def\@@deqrcr#1{\let\@tempa\relax
+ \ifcase\@eqcnt \def\@tempa{& & &}\or \def\@tempa{& &}%
+ \else \def\@tempa{&}\fi
+ \@tempa \if@eqnsw\@deleqrnum{#1}\fi
+ \global\@eqnswtrue\global\@eqcnt\z@\cr}
+\def\@deqrarcr{{\ifnum0=`}\fi\@ifstar{\global\@eqpen\@M
+ \@ydeqrarcr}{\global\@eqpen\interdisplaylinepenalty \@ydeqrarcr}}
+\def\@ydeqrarcr{\@ifnextchar [{\@xdeqrarcr}{\@xdeqrarcr[\z@]}}
+\def\@xdeqrarcr[#1]{\ifnum0=`{\fi}\@@deqrarcr
+ \noalign{\penalty\@eqpen\vskip\jot\vskip #1\relax}}
+\def\@@deqrarcr{\let\@tempa\relax
+ \ifcase\@eqcnt \def\@tempa{& & &}\or \def\@tempa{& &}%
+ \else \def\@tempa{&}\fi
+ \@tempa \global\@eqnswtrue\global\@eqcnt\z@\cr}
+% \end{macrocode}
+% \iffalse
+% Part 3: Commands: \nydeleqno, \deleqno, \reqno, \rndeqno, \rdeqno,
+% \eqreqno, \deqreqno, \ddeqreqno, \arrlabel,
+% \nydeqno, and \heqno
+% \fi
+% \par Here the definitions of the user commands are.
+% \begin{macrocode}
+\newcommand{\nydeleqno}{\stepcounter{equation}\stepcounter{deleq}
+ \let\@currentlabel\thedeleq \eqno (\thedeleq)}
+\newcommand{\deleqno}{\refstepcounter{deleq} \let\@currentlabel\thedeleq
+ \eqno (\thedeleq)}
+\newcommand{\reqno}[1]{\setcounter{Deleq}{-1}\refstepcounter{Deleq}
+ \eqno (\ref{#1})}
+\newcommand{\rdeqno}[1]{\refstepcounter{Deleq}
+ \eqno (\ref{#1}\theDeleq)}
+\newcommand{\rndeqno}[1]{\setcounter{Deleq}{0}\refstepcounter{Deleq}
+ \eqno (\ref{#1}\theDeleq)}
+\newcommand{\eqreqno}[2][0pt]{{\ifnum0=`}\fi\@ifstar{\global\@eqpen\@M
+ \@xeqrcr{#1}{#2}}{\global\@eqpen\interdisplaylinepenalty
+ \@xeqrcr{#1}{#2}}}
+\newcommand{\deqreqno}[2][0pt]{\setcounter{Deleq}{0}\refstepcounter{Deleq}
+ {\ifnum0=`}\fi\@ifstar{\global\@eqpen\@M
+ \@xdeqrcr{#1}{#2}}{\global\@eqpen\interdisplaylinepenalty
+ \@xdeqrcr{#1}{#2}}}
+\newcommand{\ddeqreqno}[2][0pt]{\refstepcounter{Deleq}
+ {\ifnum0=`}\fi\@ifstar{\global\@eqpen\@M
+ \@xdeqrcr{#1}{#2}}{\global\@eqpen\interdisplaylinepenalty
+ \@xdeqrcr{#1}{#2}}}
+\newcommand{\arrlabel}[1]{\let\@currentlabel\theequation \label{#1}}
+\newcommand{\nydeqno}{\stepcounter{equation}\stepcounter{deleq}}
+\newcommand{\heqno}{\stepcounter{equation}}
+\def\where{\let\@tempa\relax \def\@tempa{& & &}
+ \@tempa {\hbox to .01\p@{}\rlap{\hskip -\displaywidth where}}\cr}
+\def\rem#1{\let\@tempa\relax \def\@tempa{& & &}
+ \@tempa {\hbox to .01\p@{}\rlap{\hskip -\displaywidth #1}}\cr}
+% \end{macrocode}
+% \iffalse
+% Part 4: Environments: 'deqarr', 'ddeqar', 'deqn', 'ddeqn', and 'deqrarr'
+% \fi
+% \par The five environments are slight modifications of the
+% corresponding \LaTeX{} standard environments. The main difference
+% lies in which counter(s) is stepped and which internals are used to
+% finish off the lines. Three of them have large parts in
+% common, parts which are put in one macro `|\@dlqnv|':
+% \begin{macrocode}
+\def\@dlqnv{\setlength{\jotbaseline}{\baselineskip}%
+ \addtolength{\jotbaseline}{\jot} \global\@eqnswtrue\m@th
+ \global\@eqcnt\z@\tabskip\@centering
+ $$\halign to\displaywidth\bgroup\@eqnsel\hskip\@centering
+ $\displaystyle\tabskip\z@{##}$&\global\@eqcnt\@ne
+ \hskip 2\arraycolsep \hfil${##}$\hfil
+ &\global\@eqcnt\tw@ \hskip 2\arraycolsep $\displaystyle\tabskip\z@{##}$\hfil
+ \tabskip\@centering&\llap{##}\tabskip\z@\cr}
+\newenvironment{deqarr}{\stepcounter{equation}\stepcounter{deleq}
+ \let\@currentlabel\thedeleq \let\\\@deqncr \@dlqnv}
+{\@@deqncr\egroup
+ \global\advance\c@deleq\m@ne$$\global\@ignoretrue}
+\newenvironment{ddeqar}{\stepcounter{deleq}
+ \let\@currentlabel\thedeleq \let\\\@deqncr \@dlqnv}
+{\enddeqarr}
+\newenvironment{deqn}{$$\refstepcounter{equation}\stepcounter{deleq}
+ \let\@currentlabel\thedeleq}
+ {\eqno \hbox{\@deleqnnum} $$\global\@ignoretrue}
+\newenvironment{ddeqn}{$$\refstepcounter{deleq} \let\@currentlabel\thedeleq}
+ {\enddeqn}
+\newenvironment{deqrarr}{\let\@currentlabel\theDeleq
+ \let\\\@deqrarcr \@dlqnv}
+{\@deqrarcr \egroup $$\global\@ignoretrue}
+% \end{macrocode}
+% \iffalse
+% Part 5: 'leqno' compatibility
+% \fi
+% \par If the user wants the equation numbers to the left, we have to
+% modify some of the commands and internals defined above. This is
+% done in a |\DeclareOption|-call, but first we set a
+% switch to test for the |leqno| option. Initially, it is set
+% to |F| and then changed to |T| if the |leqno| option is in effect.
+% \begin{macrocode}
+\newif\ifl@qn \l@qnfalse
+\DeclareOption{leqno}{%
+\global\l@qntrue%
+\renewcommand{\@deleqnnum}{\hbox to .01\p@{}\rlap{\reset@font\rmfamily
+ \hskip -\displaywidth(\thedeleq)}}
+\renewcommand{\nydeleqno}{\stepcounter{equation}\stepcounter{deleq}
+ \let\@currentlabel\thedeleq \leqno (\thedeleq)}
+\renewcommand{\deleqno}{\refstepcounter{deleq} \let\@currentlabel\thedeleq
+ \leqno (\thedeleq)}
+\renewcommand{\reqno}[1]{\setcounter{Deleq}{-1}\refstepcounter{Deleq}
+ \leqno (\ref{#1})}
+\renewcommand{\rdeqno}[1]{\refstepcounter{Deleq}
+ \leqno (\ref{#1}\theDeleq)}
+\renewcommand{\rndeqno}[1]{\setcounter{Deleq}{0}\refstepcounter{Deleq}
+ \leqno (\ref{#1}\theDeleq)}
+\renewcommand{\@eqrnum}[1]{\hbox to .01\p@{}\rlap{\reset@font\rmfamily
+ \hskip -\displaywidth(\ref{#1})}}
+\renewcommand{\@deleqrnum}[1]{\hbox to .01\p@{}\rlap{\reset@font\rmfamily
+ \hskip -\displaywidth(\ref{#1}\theDeleq)}}
+ }
+% \end{macrocode}
+% \iffalse
+% Part 6: `fleqn' compatibility
+% \fi
+% \par The |fleqn| option is mainly a `\textsf{deleq}-ification' of
+% the \LaTeXe{} file |fleqn.clo| (1995/06/26 v1.3g). If both
+% |leqno| and |fleqn| options are in use, the length
+% |\mathindent| should be increased to allow space for the
+% letters of the partial equation numbers. For the
+% multiline environments, it is enough to make changes to the
+% internal |\@dlqnv|.
+% \begin{macrocode}
+\DeclareOption{fleqn}{%
+\ifl@qn \AtBeginDocument{\addtolength{\mathindent}{1em}} \fi
+\renewenvironment{deqn}%
+ {\@beginparpenalty\predisplaypenalty
+ \@endparpenalty\postdisplaypenalty
+ \refstepcounter{equation}\stepcounter{deleq}
+ \let\@currentlabel\thedeleq%
+ \trivlist \item[]\leavevmode
+ \hb@xt@\linewidth\bgroup $\m@th% $
+ \displaystyle
+ \hskip\mathindent}%
+ {$\hfil % $
+ \displaywidth\linewidth\hbox{\@deleqnnum}%
+ \egroup
+ \endtrivlist}
+\renewenvironment{ddeqn}%
+ {\@beginparpenalty\predisplaypenalty
+ \@endparpenalty\postdisplaypenalty
+ \refstepcounter{deleq}
+ \let\@currentlabel\thedeleq%
+ \trivlist \item[]\leavevmode
+ \hb@xt@\linewidth\bgroup $\m@th% $
+ \displaystyle
+ \hskip\mathindent}%
+ {\enddeqn}
+\renewcommand{\@dlqnv}{%
+ \setlength{\jotbaseline}{\baselineskip}
+ \addtolength{\jotbaseline}{\jot}
+ \global\@eqcnt\z@
+ \tabskip\mathindent
+ \setlength\abovedisplayskip{\topsep}%
+ \ifvmode
+ \addtolength\abovedisplayskip{\partopsep}%
+ \fi
+ \addtolength\abovedisplayskip{\parskip}%
+ \setlength\belowdisplayskip{\abovedisplayskip}%
+ \setlength\belowdisplayshortskip{\abovedisplayskip}%
+ \setlength\abovedisplayshortskip{\abovedisplayskip}%
+ $$\everycr{}\halign to\linewidth% $$
+ \bgroup
+ \hskip\@centering
+ $\displaystyle\tabskip\z@skip{##}$\@eqnsel&%
+ \global\@eqcnt\@ne \hskip \tw@\arraycolsep \hfil${##}$\hfil&%
+ \global\@eqcnt\tw@ \hskip \tw@\arraycolsep
+ $\displaystyle{##}$\hfil \tabskip\@centering&%
+ \global\@eqcnt\thr@@
+ \hb@xt@\z@\bgroup\hss##\egroup\tabskip\z@skip\cr}
+}
+% \end{macrocode}
+% If other options were asked for, the package should make
+% these options `unused'. Then, last, the option(s)
+% is (are) processed.
+% \begin{macrocode}
+\DeclareOption*{\OptionNotUsed}
+\ProcessOptions
+% \end{macrocode}
+% That is all. Happy \TeX-ing!
+% \iffalse
+% END of it all!
+%</paketkod>
+%<*exempelkod>
+\documentclass[11pt]{article} %%% add `leqno' if you want left-aligned
+\usepackage{deleq} %%% equation numbers and `fleqn' to
+\oddsidemargin=0.5cm %%% flush the equations left.
+\evensidemargin=0.5cm
+\topmargin=-5mm
+\textheight=23.5cm
+\textwidth=15.5cm
+\begin{document}
+ \begin{center}
+ \Large Welcome to the \textsf{deleq} package!
+ \end{center}
+
+ This is a short document to demonstrate the use of the
+ \textsf{deleq} package and its commands. It uses \deleqver .
+ \textsf{deleq} was written by Mats Dahlgren
+ (\texttt{matsd@sssk.se http://www.homenet.se/matsd/}). Suggestions for
+ improvements and bug reports are most welcome, see the
+ documentation. \textsf{deleq} is fully compatible with the
+ \texttt{leqno} option and most of the \texttt{fleqn} option.
+
+ We start this demonstration by a simple and well-known
+ equation to get the equation number counter going:
+ \begin{equation}
+ \sin^2\alpha + \cos^2\alpha = 1
+ \end{equation}
+ The first example will be to make use of the
+ \texttt{deqn} environment to get a partially numbered
+ equation:
+ \begin{deqn}
+ \sin (-\alpha) = - \sin \alpha
+ \end{deqn}
+ This equation has its cosine companion, here written in
+ the \texttt{ddeqn} environment:
+ \begin{ddeqn}
+ \cos (-\alpha) = \cos \alpha
+ \end{ddeqn}
+ Not so exciting, so far. :--)
+
+ In the next example we introduce the \texttt{deqarr}
+ environment for writing equations:
+ \begin{deqarr}
+ \sin ( \alpha + \beta ) & =
+ & \sin \alpha \cos \beta + \sin \beta \cos \alpha \\
+ \sin ( \alpha - \beta ) & =
+ & \sin \alpha \cos \beta - \sin \beta \cos \alpha
+ \label{Demo1}
+ \end{deqarr}
+ where we also have put in the label \texttt{Demo1} in
+ the second equation. Next, notice how the environment
+ \texttt{ddeqar} uses the same main equation number as
+ the previous equations:
+ \begin{ddeqar}
+ \cos ( \alpha + \beta ) & =
+ & \cos \alpha \cos \beta - \sin \alpha \sin \beta
+ \arrlabel{Demo2} \\
+ \cos ( \alpha - \beta ) & =
+ & \cos \alpha \cos \beta + \sin \alpha \sin \beta
+ \end{ddeqar}
+ In the first of these equations, an \verb+\arrlabel+ command
+ with the label \texttt{Demo2} is included.
+ Now, we will make another \texttt{eqnarray}-like
+ structure, again in the \texttt{ddeqar} environment:
+ \begin{ddeqar}
+ \sin 2\alpha & =
+ & 2 \sin \alpha \cos \alpha \heqno \label{Demo3} \\
+ \cos 2\alpha & =
+ & \cos ^2 \alpha - \sin ^2 \alpha \nydeqno \\
+ \rem{or}
+ & = & 2\cos ^2 \alpha - 1
+ \end{ddeqar}
+ This example shows the use of \verb$\heqno$ in the first
+ equation, which produces an ordinary equation number.
+ The first equation is also labelled, with the label
+ \texttt{Demo3}. The next equation's number was produced
+ by the command \verb$\nydeqno$. Also, notice the use of
+ \verb+\rem{or}+, which results in the text ``or'' without
+ changing the alignment. To illustrate the use of
+ \verb+\arrlabel{Demo2}+ above, we here make a reference to it:
+ \ldots{} in equations \ref{Demo2} \ldots which was
+ created by typing
+ `\verb+\ldots{} in equations \ref{Demo2} \ldots+'.
+
+ To step the equation number counter, we want the
+ following equations typeset in ordinary
+ \texttt{eqnarray} environment:
+ \begin{eqnarray}
+ \tan ^2 \alpha & =
+ & \frac{\sin ^2 \alpha}{\cos ^2 \alpha} \label{Demo4} \\
+ \tan \alpha & =
+ & \frac{\sin \alpha}{\cos \alpha}
+ \end{eqnarray}
+ The upper equation was given the label \texttt{Demo4}.
+
+ Now one of the ``recycling'' commands is to be
+ demonstrated. First of all, let's make an ordinary
+ reference to equation~\ref{Demo3}, and then ``recycle'' it:
+ $$ \sin 2\alpha = 2 \sin \alpha \cos \alpha \reqno{Demo3} $$
+ This was obtained with \verb#$$ ... $$# with the command
+ \verb#\reqno{Demo3}# at the end. Also partially
+ numbered equations can be recycled with the
+ \verb#\reqno{FOO}# command, as with
+ equation~\ref{Demo1}:
+ $$ \sin ( \alpha - \beta ) = \sin \alpha \cos \beta -
+ \sin \beta \cos \alpha \reqno{Demo1} $$
+ (However, the use of \verb#\rndeqno{FOO}# and
+ \verb#\rdeqno{FOO}# will produce strange results with
+ two (different) partial equation numbers if \texttt{FOO}
+ refers to a partially numbered equation.)
+
+ The next equation was written with \verb#$$ ... $$# and
+ a \verb#\deleqno# command at the end:
+ $$ \tan 2\alpha = \frac{2\tan \alpha}{1 - \tan ^2 \alpha} \deleqno $$
+ Notice how the main equation number counter is still the
+ same, despite that we now are outside of the
+ \texttt{ddeqar} environment. Also, notice how the use of
+ \verb#\reqno# above did not affect the equation number
+ counter. The following equation is also set within
+ \verb#$$ ... $$#, but it uses the command
+ \verb#\nydeleqno# to produce an equation number with a
+ new main number:
+ $$ \sin ^2 \alpha = 1 - \cos ^2 \alpha \nydeleqno $$
+
+ Now we will elaborate a little on \verb#\rndeqno{FOO}#
+ and \verb#\rdeqno{FOO}#. Let us use
+ equation~\ref{Demo4}, and see what happens if we use the
+ \verb#\rndeqno{FOO}# command:
+ $$ \tan ^2 \alpha = \frac{\sin ^2 \alpha}
+ {\cos ^2 \alpha} \rndeqno{Demo4} $$
+ which we rewrite:
+ $$ \tan ^2 \alpha = \frac{\sin ^2 \alpha}
+ {1 - \sin ^2 \alpha} \rdeqno{Demo4} \label{Demo5} $$
+ with \verb#\rdeqno{Demo4}# at the end. This is great
+ fun, so why not one more:
+ \begin{deqrarr}
+ \tan ^2 \alpha = \frac{1 - \cos ^2 \alpha}
+ {\cos ^2 \alpha} \ddeqreqno[-\jotbaseline]{Demo4}
+ \nonumber
+ \end{deqrarr}
+ Also, the middle form of equation~\ref{Demo4} got a
+ label, \texttt{Demo5}. In the last example, the construct\\
+ \verb+ \ddeqreqno[-\jotbaseline]{Demo4} \nonumber+\\ in a
+ \texttt{deqrarr} environment is used, to obtain
+ \texttt{fleqn} compatibility.
+
+ There is still one equation to write. This time we
+ again use the \texttt{deqarr} environment:
+ \begin{deqarr}
+ \cot \alpha & = & \frac{\cos \alpha}{\sin \alpha} \\
+ \where
+ & = & \frac{1}{\tan \alpha}
+ \end{deqarr}
+ This example also shows the use of the \verb+\where+
+ command, which is a special case of the \verb+\rem+ command.
+ Now, the interesting thing of referring to the recycled
+ equations is ahead. If one writes \verb#\ref{Demo5}#,
+ this is what \LaTeX\ will return:~\ref{Demo5}. That is
+ not too instructive, since the partial equation numbers
+ are quite common in this document. To make the complete
+ reference, use \verb#\ref{Demo4}\ref{Demo5}#. The
+ reference~\ref{Demo4}\ref{Demo5} is much more
+ comprehensible, right? (If you get bad line-breaks at
+ such references, put them in an \verb#\mbox{...}#.)
+
+
+ Now we will show the use of the commands to recycle equation
+ numbers in \verb+eqnarray+-like structures. These commands
+ are \verb+\eqreqno{FOO}+, \verb+\deqreqno{FOO}+, and
+ \verb+\ddeqreqno{FOO}+. We start by repeating equation
+ \ref{Demo1} in an \verb+deqrarr+ environment:
+ \begin{deqrarr}
+ \sin ( \alpha - \beta ) & =
+ & \sin \alpha \cos \beta - \sin \beta \cos \alpha
+ \eqreqno{Demo1}
+ \sin 2\alpha & = & 2 \sin\alpha \cos\alpha
+ \end{deqrarr}
+ The second equation here shows how the alignment of the
+ equations is preserved. Next, we can use the equation
+ \ref{Demo3} for some variations:
+ \begin{deqrarr}
+ \sin 2\alpha & = & 2 \sin\alpha \cos\alpha
+ \deqreqno{Demo3}
+ \sin 4\alpha & = & 2 \sin 2\alpha \cos 2\alpha \\
+ & = & 2\left( 2\sin\alpha \cos\alpha
+ \left( \cos^2 \alpha - \sin^2 \alpha\right)\right)
+ \ddeqreqno{Demo3}
+ & = & 4\left(\sin\alpha \cos\alpha
+ \left( \cos^2 \alpha - \sin^2 \alpha\right)\right)
+ \ddeqreqno[-\jotbaseline]{Demo3}
+ \end{deqrarr}
+ The features used here are \verb+\deqreqno{Demo3}+
+ on the first line, \verb+\ddeqreqno{Demo3}+ on the
+ second line, and \verb+\deqreqno[-\jotbaseline]{Demo3}+
+ on the third. Note how the inclusion of
+ \verb+[-\jotbaseline]+ on the third line prevents
+ \LaTeX{} from inserting an extra blank line. The
+ second line ends with `\verb+\\+', and has thus no
+ equation number at all.
+
+ The last part shows how you may use \verb+\eqreqno+ and its
+ relatives in \verb+deqarr+ environment:
+ \begin{deqarr}
+ \sin\alpha & = & \sin\alpha \cos 0 + \sin 0 \cos\alpha \\
+ \sin 2\alpha & = & 2 \sin\alpha \cos\alpha \eqreqno{Demo3}
+ \sin 3\alpha & = & \sin 2\alpha \cos\alpha +
+ \sin\alpha \cos 2\alpha \\
+ \sin 4\alpha & = & 2 \sin 2\alpha \cos 2\alpha \\
+ \sin 5\alpha & = & \sin 3\alpha \cos 2\alpha +
+ \sin 2\alpha \cos 3\alpha \ddeqreqno{Demo3}
+ \sin 6\alpha & = & 2 \sin 3\alpha \cos 3\alpha
+ \end{deqarr}
+ The interesting part here is an `\verb+\eqreqno{Demo3}+' at
+ the end of the second line and a `\verb+\ddeqreqno{Demo3}+' at
+ the end of the fifth line. Notice how the partial
+ equation number counter in unaffected by the enetering of
+ the \verb+deqarr+ environment.
+
+
+ Finally, the $\mathcal{END}$! If you want your
+ equation numbers left-aligned, just specify the \texttt{leqno}
+ option for the \texttt{documentclass} you are using. It
+ should work! If you have any suggestions, corrections
+ or contributions, please contact me. Enjoy \LaTeX !
+
+ {\itshape mats d.}
+\end{document}
+%</exempelkod>
+% \fi
+%
+% \Finale
+%
+\endinput