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+%TUGBoat article A Multienumerate Package
+
+\documentclass{article}
+\usepackage{multicol,multienum}
+\pagestyle{headings}
+\begin{document}
+\title{A Multienumerate Package}
+\author{Dennis Kletzing\\Stetson University} \date{\today}
+\maketitle
+\begin{abstract}
+{\it The {\tt multienum.sty} package  allows
+the user to produce an enumerated array of multiple
+columns, each vertically aligned on the counter. An optional
+argument provides  for consecutive numbering of the array items,
+or an even-only or odd-only numbering scheme.}
+\end{abstract}
+Typesetting the solutions manual for a text frequently involves creating an
+enumerated list involving many short answers. Typically these are set with
+several items per
+line, with no attempt made to vertically align the exercise numbers. The
+{\tt multienum.sty} package provides an environment, {\tt multienumerate},
+that produces  an enumerated array in which columns are vertically aligned
+on the counter. If the user wishes, the enumeration counter can
+ be changed to give a list of even-only  numbers or odd-only
+ numbers.
+
+\begin{table}[b]
+\caption{An enumerate array  of solutions}
+\parbox[t]{.99\hsize}{%
+\hrule\hrule
+\begin{multienumerate}
+\mitemxxxx{Not}{Linear}{Not}{Quadratic}
+\mitemxxxo{Not}{Linear}{No; if $x=3$, then $y=-2$.}
+\mitemxx{$(x_1,x_2)=(2+\frac{1}{3}t,t)$ or
+$(s,3s-6)$}{$(x_1,x_2,x_3)=(2+\frac{5}{2}s-3t,s,t)$}
+\mitemx{$(x_1,x_2,x_3,x_4)= (\frac{1}{4}+\frac{5}{4}s+\frac{3}{4}t-u,s,t,u)$
+or $(s,t,u,\frac{1}{4}-s+\frac{5}{4}t+\frac{3}{4}u)$}
+\mitemxxxx{$(2,-1,3)$}{None}{$(2,1,0,1)$}{$(0,0,0,0)$}
+\end{multienumerate}}\hrule
+\end{table}
+
+\section*{What the package does}
+Table 1 shows  a typical enumerated array. The fourth entry in
+the second row is left blank since the next item is too long to
+fit in space. The third row has only two entries. To get the
+vertical alignment of the counter in column 3, we set row three
+as  four entries, but left entry 2 and entry 4 blank thus
+giving more space for the first and third entries. To produce
+the enumerated array shown above, we typed the following:
+
+
+
+
+\begin{verbatim}
+  \begin{multienumerate}
+  \mitemxxxx{Not}{Linear}{Not}{Quadratic}
+  \mitemxxxo{Not}{Linear}{Not}
+  \mitemxx{$(x_1,x_2)=(2+\frac{1}{3}t,t)$ or
+    $(s,3s-6)$}{$(x_1,x_2,x_3)=(2+\frac{5}{2}s-3t,s,t)$}
+  \mitemx{$(x_1,x_2,x_3,x_4)=
+    (\frac{1}{4}+\frac{5}{4}s+\frac{3}{4}t-u,s,t,u)$
+    or $(s,t,u,\frac{1}{4}-s+\frac{5}{4}t+\frac{3}{4}u)$}
+  \mitemxxxx{$(2,-1,3)$}{None}{$(2,1,0,1)$}{$(0,0,0,0)$}
+  \end{multienumerate}
+\end{verbatim}
+The environment {\tt multienumerate} has an optional argument
+for enumerating even-only or odd-only  arrays.\footnote{The
+optional arguments works only in \LaTeX2e.}
+
+\begin{itemize}
+\item \verb|\begin{multienumerate} ... \end{multienumerate}|
+\item[]   produces a consecutively enumerated  array
+\item \verb|\begin{multienumerate}[evenlist] ...\end{multienumerate}|
+\item[]  produces an enumerated  array using only even numbers
+\item \verb|\begin{multienumerate}[oddlist] ...\end{multienumerate}|
+\item[]  produces an enumerated  array using only odd numbers
+\end{itemize}
+
+\section*{Using the package}
+Each row of the enumerated  array is set using
+one of the nine commands:
+
+\begin{small}
+\renewcommand{\arraystretch}{1.2}%1.4
+\begin{tabular}{@{}lp{3in}}
+\verb|\mitemx{}|&A single item in the row.\\
+\verb|\mitemxx{}{}|&Two items in the row.\\
+\verb|\mitemxxx{}{}{}|&Three items in the row.\\
+\verb|\mitemxox{}{}|&Three items in the row with the
+center item space left blank so the first item can extend
+into its space.\\
+\verb|\mitemxxo{}{}|&Three items in the row with the last
+item left blank so the second item can extend into
+ its space.\\
+\verb|\mitemxxxx{}{}{}{}|&Four items in the row.\\
+\verb|\mitemxoxx{}{}{}|& Four items in the row with the
+second space left blank so the first item can extend into
+its space.\\
+\verb|\mitemxxox{}{}{}|&Four items in the row with the
+third space left blank so the second item can extend into
+its space.\\
+\verb|\mitemxxxo{}{}{}|&Four items in the row with the
+last space left blank so the third item can extend into
+its space.
+\end{tabular}
+\end{small}
+
+For example, \verb|\mitemxxx{a}{b}{c}| sets three items, a, b, c equally
+spaced  across the row; \verb|\mitemxox{a}{c}| sets the two
+items, a and c, across the row {\em as if\/} there were three items, leaving
+the second entry blank so that the first entry can extend into
+its space; and \verb|\mitemxxo{a}{b}| sets the two items, a and
+b, {\em as if\/} there were three items, but leaves the space
+for the third item blank, allowing the second entry to extend
+into its space.
+
+A convenient way to use the multienumerate
+package is with a two column layout using multicols. Page 7
+illustrates  a typical page from a solutions manual  set in
+two columns format using multicols and multienumerate.
+
+A disadvantage of the package is that the user must choose how
+to typeset each line in the array rather than letting \TeX\
+decide how to do it. This creates a lot of overhead in the
+macro since separate commands are needed for each possibility.
+It is not difficult to write a macro that will let
+ \TeX\  decide how many items to set on each line. This
+approach, while the most efficient, does not always give the
+visual appearance that the user may want.
+
+
+\section{How the package works}
+We illustrate how the package typesets a line
+containing two items. The other
+situations are similar.
+
+\noindent
+\setlength{\unitlength}{1.3pt}
+\begin{picture}(240,50)(0,0)
+
+
+\put(0,0){\framebox(35,10)[b]{\hfill 1.}}
+\put(40,0){\framebox(30,10)[b]{}}
+\put(75,0){\framebox(50,10)[bl]{stuff}}
+
+\put(0,30){\makebox(35,10)[b]{\small
+\texttt{$\backslash$labelwidth}}}
+\put(40,30){\makebox(30,10)[b]{\small
+\texttt{$\backslash$labelsep}}}
+\put(75,30){\makebox(50,10)[b]{\small
+\texttt{$.5\backslash$remainxx}}}
+
+\put(17.5,20){\vector(-1,0){17.5}}
+\put(17.5,20){\vector(1,0){17.5}}
+
+\put(55,20){\vector(-1,0){15}}
+\put(55,20){\vector(1,0){15}}
+
+\put(100,20){\vector(-1,0){25}}
+\put(100,20){\vector(1,0){25}}
+
+\put(147.5,20){\vector(-1,0){17.5}}
+\put(147.5,20){\vector(1,0){17.5}}
+
+\put(185,20){\vector(-1,0){15}}
+\put(185,20){\vector(1,0){15}}
+
+\put(230,20){\vector(-1,0){25}}
+\put(230,20){\vector(1,0){25}}
+
+\put(130,0){\framebox(35,10)[b]{\hfill 2.}}
+\put(170,0){\framebox(30,10)[b]{}}
+\put(205,0){\framebox(50,10)[bl]{stuff}}
+
+\put(130,30){\makebox(35,10)[b]{\small
+\texttt{$\backslash$labelwidth}}}
+\put(170,30){\makebox(30,10)[b]{\small
+\texttt{$\backslash$labelsep}}}
+\put(205,30){\makebox(50,10)[b]{\small
+\texttt{$.5\backslash$remainxx}}}
+\end{picture}
+
+\bigskip
+The total width of the line is then set equal to \verb|\hsize|:
+\[\underbrace{2\texttt{$\backslash$labelwidth}+
+2\texttt{$\backslash$labelsep}}_{\texttt{$\backslash$usedxx}}+
+\texttt{$\backslash$remainxx}=\texttt{$\backslash$hsize}\]
+\[\texttt{$\backslash$remainxx}=
+\texttt{$\backslash$hsize}-
+\texttt{$\backslash$usedxx}\]
+
+\bigskip
+In this way the macro determines the width of each box
+ when two items are typeset on the line.
+
+\section{The macro}
+Here is the package \texttt{multienum.sty}.
+\begin{verbatim}
+\setlength{\hsize}{\textwidth}
+
+%First define new lengths
+
+\newlength{\usedx}
+\newlength{\remainx}
+\newlength{\usedxx}
+\newlength{\remainxx}
+\newlength{\usedxxx}
+\newlength{\remainxxx}
+\newlength{\usedxxxx}
+\newlength{\remainxxxx}
+\newlength{\remainxox}
+\newlength{\remainxoxx}
+
+%Define new item control sequences
+
+\newcommand{\itemx}[1]{\parbox[t]%
+{\labelwidth}{\hfill\labelenumi}\hskip\labelsep%
+\parbox[t]{\remainx}{\raggedright #1}\smallskip}
+
+\newcommand{\itemxx}[2]{\parbox[t]%
+{\labelwidth}{\hfill\labelenumi}\hskip\labelsep
+\parbox[t]{.5\remainxx}{\raggedright #1}\hfill\parbox[t]%
+{\labelwidth}{\hfill\labelenumi}\hskip\labelsep
+\parbox[t]{0.5\remainxx}{\raggedright #2}\smallskip}
+
+\newcommand{\itemxxx}[3]{\parbox[t]%
+{\labelwidth}{\hfill\labelenumi}\hskip\labelsep%
+\parbox[t]{.3333\remainxxx}{\raggedright #1}\hfill\parbox[t]%
+{\labelwidth}{\hfill\labelenumi}\hskip\labelsep%
+\parbox[t]{0.3333\remainxxx}{\raggedright #2}\hfill%
+\parbox[t]{\labelwidth}{\hfill\labelenumi}\hskip\labelsep%
+\parbox[t]{0.3333\remainxxx}{\raggedright #3}\smallskip}
+
+\newcommand{\itemxxxx}[4]{\parbox[t]%
+{\labelwidth}{\hfill\labelenumi}\hskip\labelsep
+\parbox[t]{.25\remainxxxx}{\raggedright #1}\hfill\parbox[t]%
+{\labelwidth}{\hfill\labelenumi}\hskip\labelsep
+\parbox[t]{0.25\remainxxxx}{\raggedright #2}\hfill%
+\parbox[t]{\labelwidth}{\hfill\labelenumi}\hskip\labelsep
+\parbox[t]{0.25\remainxxxx}{\raggedright #3}\hfill%
+\parbox[t]{\labelwidth}{\hfill\labelenumi}\hskip\labelsep
+\parbox[t]{0.25\remainxxxx}{\raggedright #4}\smallskip}
+
+\newcommand{\itemxox}[2]{\parbox[t]%
+{\labelwidth}{\hfill\labelenumi}\hskip\labelsep
+\parbox[t]{\remainxox}{\raggedright #1}\hfill%
+\parbox[t]{\labelwidth}{\hfill\labelenumi}\hskip\labelsep
+\parbox[t]{0.3333\remainxxx}{\raggedright #2}\smallskip}
+
+\newcommand{\itemxxo}[2]{\parbox[t]%
+{\labelwidth}{\hfill\labelenumi}\hskip\labelsep
+\parbox[t]{0.3333\remainxxx}{\raggedright #1}\hfill%
+\parbox[t]{\labelwidth}{\hfill\labelenumi}\hskip\labelsep
+\parbox[t]{\remainxox}{\raggedright #2}\smallskip}
+
+\newcommand{\itemxoxx}[3]{\parbox[t]%
+{\labelwidth}{\hfill\labelenumi}\hskip\labelsep
+\parbox[t]{\remainxoxx}{\raggedright #1}\hfill%
+\parbox[t]{\labelwidth}{\hfill\labelenumi}\hskip\labelsep
+\parbox[t]{0.25\remainxxxx}{\raggedright #2}\hfill%
+\parbox[t]{\labelwidth}{\hfill\labelenumi}\hskip\labelsep
+\parbox[t]{0.25\remainxxxx}{\raggedright #3}\smallskip}
+
+\newcommand{\itemxxox}[3]{\parbox[t]%
+{\labelwidth}{\hfill\labelenumi}\hskip\labelsep
+\parbox[t]{.25\remainxxxx}{\raggedright #1}\hfill%
+\parbox[t]{\labelwidth}{\hfill\labelenumi}\hskip\labelsep
+\parbox[t]{\remainxoxx}{\raggedright #2}\hfill%
+\parbox[t]{\labelwidth}{\hfill\labelenumi}\hskip\labelsep
+\parbox[t]{0.25\remainxxxx}{\raggedright #3}\smallskip}
+
+\newcommand{\itemxxxo}[3]{\parbox[t]%
+{\labelwidth}{\hfill\labelenumi}\hskip\labelsep
+\parbox[t]{.25\remainxxxx}{\raggedright #1}\hfill%
+\parbox[t]{\labelwidth}{\hfill\labelenumi}\hskip\labelsep
+\parbox[t]{.25\remainxxxx}{\raggedright #2}\hfill%
+\parbox[t]{\labelwidth}{\hfill\labelenumi}\hskip\labelsep
+\parbox[t]{\remainxoxx}{\raggedright #3}\smallskip}
+
+\newcommand{\mitemx}[1]{\item[] \itemx{#1}}
+\newcommand{\mitemxx}[2]{\item[] \itemxx{#1}{#2}}
+\newcommand{\mitemxxx}[3]{\item[] \itemxxx{#1}{#2}{#3}}
+\newcommand{\mitemxox}[2]{\item[] \itemxox{#1}{#2}}
+\newcommand{\mitemxxo}[2]{\item[] \itemxxo{#1}{#2}}
+\newcommand{\mitemxxxx}[4]{\item[] \itemxxxx{#1}{#2}{#3}{#4}}
+\newcommand{\mitemxoxx}[3]{\item[] \itemxoxx{#1}{#2}{#3}}
+\newcommand{\mitemxxox}[3]{\item[] \itemxxox{#1}{#2}{#3}}
+\newcommand{\mitemxxxo}[3]{\item[] \itemxxxo{#1}{#2}{#3}}
+\newcommand{\mitemxxoo}[2]{\item[] \itemxxoo{#1}{#2}}
+
+%Create counter options
+
+\newcommand{\oddlist}{\setcounter{enumi}{-1}
+\renewcommand{\labelenumi}
+{\ifodd\value{enumi}\addtocounter{enumi}{2}%
+\arabic{enumi}.\else
+\addtocounter{enumi}{1}\arabic{enumi}.%
+\addtocounter{enumi}{-2}\fi}}
+
+\newcommand{\evenlist}{\setcounter{enumi}{0}
+\renewcommand{\labelenumi}
+{\ifodd\value{enumi}\addtocounter{enumi}{1}\arabic{enumi}.%
+\addtocounter{enumi}{-2}\else
+\addtocounter{enumi}{2}\arabic{enumi}.\fi}}
+
+\newcommand{\regularlist}{\setcounter{enumi}{0}
+\renewcommand{\labelenumi}
+{\addtocounter{enumi}{1}\arabic{enumi}.}}
+
+\newcommand{\listtype}[1]{#1}
+
+%Create the environment
+
+\newenvironment{multienumerate}[1][\regularlist]{%
+\listtype{#1}
+\begin{trivlist}%
+\setlength{\labelwidth}{18pt}
+\setlength{\labelsep}{5pt}%
+\setlength{\usedx}{\labelwidth}%
+\addtolength{\usedx}{\labelsep}%
+\setlength{\remainx}{\hsize}%
+\addtolength{\remainx}{-\usedx}%
+\setlength{\usedxx}{2\labelwidth}%
+\addtolength{\usedxx}{2\labelsep}%
+\setlength{\remainxx}{\hsize}%
+\addtolength{\remainxx}{-\usedxx}%
+\setlength{\usedxxx}{3\labelwidth}%
+\addtolength{\usedxxx}{3\labelsep}%
+\setlength{\remainxxx}{\hsize}%
+\addtolength{\remainxxx}{-\usedxxx}%
+\setlength{\usedxxxx}{4\labelwidth}%
+\addtolength{\usedxxxx}{4\labelsep}%
+\setlength{\remainxxxx}{\hsize}%
+\addtolength{\remainxxxx}{-\usedxxxx}%
+\setlength{\remainxox}{.666\remainxxx}%
+\addtolength{\remainxox}{\labelwidth}%
+\addtolength{\remainxox}{\labelsep}%
+\setlength{\remainxoxx}{.5\remainxxxx}%
+\addtolength{\remainxoxx}{\labelwidth}%
+\addtolength{\remainxoxx}{\labelsep}%
+\setlength{\itemindent}{0pt}}{\end{trivlist}}
+
+%%End of file `multienum.sty'
+\end{verbatim}
+\pagebreak
+
+\markboth{}{SAMPLE}
+\subsection*{Answers to Even Exercises}
+\begin{multicols}{2}
+\subsection*{Chapter 1}
+\subsection*{Section 1}
+\begin{multienumerate}[evenlist]
+\mitemxxx{2}{5}{$-4$}
+\mitemxxx{$x=1$}{$y=-7$}{$z=3$}
+\mitemxox{$x^2-3x+7=0$}{Yes}
+\mitemxxx{2}{5}{$-4$}
+\mitemxxx{$x=1$}{$y=-7$}{$z=3$}
+\mitemxox{$x^2-3x+7=0$}{Yes}
+\mitemxxx{2}{5}{$-4$}
+\mitemxxx{$x=1$}{$y=-7$}{$z=3$}
+\mitemxox{$x^2-3x+7=0$}{Yes}
+\mitemxxx{2}{5}{$-4$}
+\mitemxxx{$x=1$}{$y=-7$}{$z=3$}
+\mitemxxx{2}{5}{$-4$}
+\mitemxxx{$x=1$}{$y=-7$}{$z=3$}
+\mitemxxx{2}{5}{$-4$}
+\end{multienumerate}
+\subsection*{Section 2}
+\begin{multienumerate}[evenlist]
+\mitemxxo{Yes}{$3x^2+x=-2$}
+\mitemx{If $x=1$, the only solution is $y=3$.}
+\mitemxxx{$x=1$}{$y=-7$}{$z=3$}
+\mitemxxx{Yes}{No}{No}
+\mitemxxx{2}{5}{$-4$}
+\mitemxox{$x^2-3x+7=0$}{Yes}
+\mitemxxx{2}{5}{$-4$}
+\mitemxxx{$x=1$}{$y=-7$}{$z=3$}
+\mitemxox{$x^2-3x+7=0$}{Yes}
+\mitemxxx{2}{5}{$-4$}
+\newsavebox{\diagonal}
+\savebox{\diagonal}{\setlength{\unitlength}{.6pt}
+\begin{picture}(70,70)(0,0)
+\put(0,0){\framebox(70,70){}}
+\put(35,5){\vector(0,1){60}}
+\put(5,35){\vector(1,0){60}}
+\put(10,10){\line(1,1){50}}
+\end{picture}}
+\mitemxx{\vskip0pt\usebox{\diagonal}}{\vskip0pt\usebox{\diagonal }}
+\mitemx{Johnie should sell 3 red marbles, buy 2 white marbles, and keep the
+rest.}
+\mitemx{Sarah should buy 2 pounds of squash, 3 pounds of potatoes, and 4
+pounds of fish.}
+\end{multienumerate}
+\subsection*{Answers to Odd Exercises} \subsection*{Chapter 2}
+\subsection*{Section 1}
+\begin{multienumerate}[oddlist]
+\mitemxxx{Yes}{No}{No}
+\mitemxxxx{3}{5}{2}{$-8$}
+\mitemxxox{7}{$2x-3y=6$}{1}
+\mitemxxx{2}{5}{$-4$}
+\mitemxxx{$x=1$}{$y=-7$}{$z=3$}
+\mitemxox{$x^2-3x+7=0$}{Yes}
+\mitemxxx{2}{5}{$-4$}
+\mitemxxx{$x=1$}{$y=-7$}{$z=3$}
+\mitemxxx{2}{5}{$-4$}
+\mitemxxx{$x=1$}{$y=-7$}{$z=3$}
+\mitemxxx{$x=1$}{$y=-7$}{$z=3$}
+\mitemxxx{2}{5}{$-4$}
+\end{multienumerate}
+\end{multicols}
+
+\end{document}
+
+\noindent
+\rule{\hsize}{2pt}
+\begin{multienumerate}
+\mitemxxxx{Not}{Linear}{Not}{Quadratic}
+\mitemxxxo{Not}{Linear}{No; if $x=3$, then $y=-2$.}
+\mitemxx{$(x_1,x_2)=(2+\frac{1}{3}t,t)$ or
+$(s,3s-6)$}{$(x_1,x_2,x_3)=(2+\frac{5}{2}s-3t,s,t)$}
+\mitemx{$(x_1,x_2,x_3,x_4)= (\frac{1}{4}+\frac{5}{4}s+\frac{3}{4}t-u,s,t,u)$
+or $(s,t,u,\frac{1}{4}-s+\frac{5}{4}t+\frac{3}{4}u)$}
+\mitemxxxx{$(2,-1,3)$}{None}{$(2,1,0,1)$}{$(0,0,0,0)$}
+\end{multienumerate}
+\noindent
+\rule{\hsize}{1pt}
+
+