\documentclass{article} \usepackage[fleqn]{amsmath} \usepackage[ web={centertitlepage,designv,forcolorpaper, latextoc,pro}, %tight, eforms,aebxmp ]{aeb_pro} \usepackage{ran_toks} \useThisSeed{1441984427} %\useLastAsSeed %\useThisSeed{2001383846} %2001383846 % initializing seed value %1629639958 % last random number used \let\pkg\textsf \let\env\texttt %\rtdebugtrue %\ranToksOn %\ranToksOff %\usepackage{myriadpro} \usepackage[altbullet]{lucidbry} %\usepackage{makeidx} %\makeindex \usepackage{acroman} \makeatletter \def\eq@fititin#1{\noindent\unskip\nobreak\hfill\penalty50 \hskip2em\hbox{}\nobreak\hfill#1} \def\fitit{\eq@fititin{\exrtnlabelformat}} \@mparswitchfalse\reversemarginpar \renewcommand{\paragraph} {\@startsection{paragraph}{4}{0pt}{6pt}{-3pt} {\normalfont\normalsize\bfseries}} \renewcommand{\subparagraph} {\@startsection{subparagraph}{5}{\parindent}{6pt}{-3pt}% {\normalfont\normalsize\bfseries}} \makeatother \def\anglemeta#1{$\langle\textit{\texttt{#1}}\rangle$} \let\ameta\anglemeta \def\meta#1{\textit{\texttt{#1}}} \def\darg#1{\texttt{\{#1\}}} \def\takeMeasure{\bgroup\obeyspaces\takeMeasurei} \def\takeMeasurei#1{\global\setbox\webtempboxi\hbox{\ttfamily#1}\egroup} \def\bxSize{\wd\webtempboxi+2\fboxsep+2\fboxrule} \usepackage[active]{srcltx} \let\amtIndent\leftmargini \def\SUB#1{${}_{\text{#1}}$} \newdimen\aebdimen \aebdimen\topsep \newcommand\bVerb[1][]{\begingroup#1\vskip\aebdimen\parindent0pt}% \def\eVerb{\vskip\aebdimen\endgroup\noindent} \urlstyle{rm} \DeclareDocInfo { university={\AcroTeX.Net}, title={\texorpdfstring{The \textsf{ran\_toks}}{The manual for the ran\_toks} Package\texorpdfstring{\\[6pt]\large}{: } Randomizing the order of tokens}, author={D. P. Story}, email={dpstory@acrotex.net}, subject=Documentation for the ran\_toks package, talksite={\url{www.acrotex.net}}, version={1.2, 2019/12/28}, Keywords={LaTeX,PDF,random, tokens, JavaScript,Adobe Acrobat}, copyrightStatus=True, copyrightNotice={Copyright (C) \the\year, D. P. Story}, copyrightInfoURL={http://www.acrotex.net} } \DeclareInitView{windowoptions={showtitle}} \def\dps{$\hbox{$\mathfrak D$\kern-.3em\hbox{$\mathfrak P$}% \kern-.6em \hbox{$\mathcal S$}}$} \universityLayout{fontsize=Large} \titleLayout{fontsize=LARGE} \authorLayout{fontsize=Large} \tocLayout{fontsize=Large,color=aeb} \sectionLayout{indent=-62.5pt,fontsize=large,color=aeb} \subsectionLayout{indent=-31.25pt,color=aeb} \subsubsectionLayout{indent=0pt,color=aeb} \subsubDefaultDing{\texorpdfstring{$\bullet$}{\textrm\textbullet}} \def\exSrc{\makebox[0pt][r]{\large{\Pisymbol{webd}{157}}\enspace}} %\pagestyle{empty} %\parindent0pt\parskip\medskipamount \chngDocObjectTo{\newDO}{doc} \begin{docassembly} var titleOfManual="The ran_toks Package"; var manualfilename="Manual_BG_Print_rt.pdf"; var manualtemplate="Manual_BG_Brown.pdf"; // Blue, Green, Brown var _pathToBlank="C:/Users/Public/Documents/ManualBGs/"+manualtemplate; var doc; var buildIt=false; if ( buildIt ) { console.println("Creating new " + manualfilename + " file."); doc = \appopenDoc({cPath: _pathToBlank, bHidden: true}); var _path=this.path; var pos=_path.lastIndexOf("/"); _path=_path.substring(0,pos)+"/"+manualfilename; \docSaveAs\newDO ({ cPath: _path }); doc.closeDoc(); doc = \appopenDoc({cPath: manualfilename, oDoc:this, bHidden: true}); f=doc.getField("ManualTitle"); f.value=titleOfManual; doc.flattenPages(); \docSaveAs\newDO({ cPath: manualfilename }); doc.closeDoc(); } else { console.println("Using the current "+manualfilename+" file."); } var _path=this.path; var pos=_path.lastIndexOf("/"); _path=_path.substring(0,pos)+"/"+manualfilename; \addWatermarkFromFile({ bOnTop:false, bOnPrint:false, cDIPath:_path }); \executeSave(); \end{docassembly} %\definePath\bgPath{"C:/Users/Public/Documents/% % ManualBGs/Manual_BG_Print_AeB.pdf"} %\begin{docassembly} %\addWatermarkFromFile({% % bOnTop: false, % cDIPath: \bgPath %}) %\executeSave() %\end{docassembly} \begin{document} \maketitle \selectColors{linkColor=black} \tableofcontents \selectColors{linkColor=webgreen} \section{Introduction} This is a short package for randomizing the order of tokens. The package is long overdue; users of \textbf{AeB} and of \textsf{eqexam} have long asked for a way to randomize the order of the problems in a test or quiz, or anything for that matter. \newtopic\noindent\exSrc The \texttt{examples} folder contains three demonstration files: \begin{enumerate} \item \texttt{ran\_toks.tex} reproduces the sample code of this manual. \item \texttt{random\_tst.tex} shows how to use \pkg{ran\_toks} to randomize the \emph{questions} of an exam document created by the \pkg{eqexam} package. \item \texttt{random\_tst\_qz.tex} shows how to randomize choices of a multiple choice field in a \env{quiz} environment of the \pkg{exerquiz} package, when the choices contain verbatim text. \item \texttt{mc-db.tex} is an \pkg{eqexam} file that draws from the database files \texttt{db1.tex}, \texttt{db2.tex}, \texttt{db3.tex}, and \texttt{db4.tex}, to construct the questions of the exam. The questions are drawn at random from the DB files. Refer to \hyperref[s:DBConcept]{Section~\ref*{s:DBConcept}} for a few more details. \end{enumerate} \section{The Preamble and Package Options} The preamble for this package is \bVerb\takeMeasure{\string\usepackage\darg{ran\_toks}}% \begin{minipage}{\bxSize}\kern0pt \begin{Verbatim}[frame=single] \usepackage{ran_toks} \end{Verbatim} \end{minipage}\eVerb The package itself has no options. The requirements for \textsf{ran\_toks} are the \textsf{verbatim} package (part of the standard {\LaTeX} distribution, and the macro file \texttt{random.tex} by Donald Arseneau. \section{The main commands and environments}\label{rtmain} There are two styles for defining a series of tokens to be randomized, using either the \cs{ranToks} command or the \cs{bRTVToks}/\cs{eRTVToks} pair. Each of these is discussed in the next two subsections. \subsection{The \texorpdfstring{\protect\cs{ranToks}}{\CMD{ranToks}} command} The \cs{ranToks} command was the original concept; declare a series of tokens to be randomized. \bVerb\takeMeasure{\string\ranToks\darg{\meta{name}}\{\%\enspace}% \begin{minipage}{\bxSize}\kern0pt \begin{Verbatim}[frame=single,commandchars=!()] \ranToks{!meta(name)}{% {!meta(token!SUB(1))} {!meta(token!SUB(2))} ... {!meta(token!SUB(n))} } \end{Verbatim} \end{minipage}\eVerb were \meta{token\SUB{k}} is any non-verbatim content;\footnote{Any token that can be in the argument of a command.} each token is enclosed in braces (\darg{}), this is required. The \meta{name} parameter is required, and must be unique for the document; it is used to build the names of internal macros. Of course several such \cs{ranToks} can be used in the document, either in the preamble or in the body of the document. Multiple \cs{ranToks} commands must have a different \meta{name} parameter. \emph{After} a \cs{ranToks} command has been executed, the number of tokens counted is accessible through the \cs{nToksFor} command, \bVerb\takeMeasure{\string\nToksFor\darg{\meta{name}}}% \begin{minipage}{\bxSize}\kern0pt \begin{Verbatim}[frame=single,commandchars=!()] \nToksFor{!meta(name)} \end{Verbatim} \end{minipage}\eVerb The one argument is \meta{name}, and will expand to the total number of tokens listing as argument in the \cs{ranToks} command by the same name. The \cs{ranToks} command does not display the randomized tokens, for that the command \cs{useRanTok} is used. \bVerb\takeMeasure{\string\useRTName\darg{\meta{name}}}% \begin{minipage}{\bxSize} \begin{Verbatim}[frame=single,commandchars=!()] \useRanTok{!meta(num)} \useRTName{!meta(name)} \end{Verbatim} \end{minipage}\eVerb The argument of \cs{useRanTok} is a positive integer between 1 and \cs{nToksFor\darg{\meta{name}}}, the number of tokens declared by \cs{ranToks}, inclusive. There is no space created following the \cs{useRanTok} command, so if these are to be used ``inline'', enclose them in braces (\darg{}), for example, \darg{\cs{useRanTok\darg{1}}}. The use of \cs{useRTName} is optional unless the listing of the \cs{useRanTok} commands is separated from the \cs{ranToks} command that defined them by another \cs{ranToks} command of a different name. That should be clear! Consider this example. \begin{Verbatim}[xleftmargin=\amtIndent] \ranToks{myPals}{% {Jim}{Richard}{Don} {Alex}{Tom}{J\"{u}rgen} } \end{Verbatim} \ranToks{myPals}{% {Jim}{Richard}{Don} {Alex}{Tom}{J\"{u}rgen} } I have {\nToksFor{myPals}} pals, they are \useRanTok{1}, \useRanTok{2}, \useRanTok{3}, \useRanTok{4}, {\useRanTok{5}} and \useRanTok{6}. (Listed in the order of best friend to least best friend.) The verbatim listing is, \begin{Verbatim}[xleftmargin=\amtIndent] I have {\nToksFor{myPals}} pals, they are \useRanTok{1}, \useRanTok{2}, \useRanTok{3}, \useRanTok{4}, {\useRanTok{5}} and \useRanTok{6}. \end{Verbatim} Notice that \cs{useRanToks} are not enclosed in braces for 1--4 because they are each followed by a comma; the fifth token, \texttt{\darg{\cs{useRanTok\darg{5}}}}, is enclosed in braces to generate a space following the insertion of the text. Repeating the sentence yields, ``I have {\nToksFor{myPals}} pals, they are \useRanTok{1}, \useRanTok{2}, \useRanTok{3}, \useRanTok{4}, {\useRanTok{5}} and \useRanTok{6}'', which is the exact same random order. To obtain a different order, re-execute the \cs{ranToks} command with the same arguments.\footnote{{\ttfamily\string\ranToks\darg{myPals}\darg{\darg{Jim}\darg{Richard}\darg{Don}\darg{Alex}\darg{Tom}\darg{J\string\"\darg{u}rgen}}} in this example.} Doing just that, \ranToks{myPals}{{Jim}{Richard}{Don} {Alex}{Tom}{J\"{u}rgen}}we obtain, ``I have {\nToksFor{myPals}} pals, they are \useRanTok{1}, \useRanTok{2}, \useRanTok{3}, \useRanTok{4}, {\useRanTok{5}} and \useRanTok{6}.'' A new order? An alternative to re-executing \cs{ranToks} is to use the \cs{reorderRanToks} command: \bVerb\takeMeasure{\string\reorderRanToks\darg{\meta{name}}}% \begin{minipage}{\bxSize}\kern0pt \begin{Verbatim}[frame=single,commandchars=!()] \reorderRanToks{!meta(name)} \end{Verbatim} \end{minipage}\eVerb Now, executing \verb~\reorderRanToks{myPals}~ and compiling the sentence again yields, ``I have {\nToksFor{myPals}} pals, they are \useRanTok{1}, \useRanTok{2}, \useRanTok{3}, \useRanTok{4}, {\useRanTok{5}} and \useRanTok{6}.'' For most applications, re-randomizing the same token list in the same document is not very likely something you need to do. The \cs{reorderRanToks\darg{\meta{name}}} rearranges the list of tokens associated with \ameta{name}, which may not be what you want; the \cs{copyRanToks} command, on the other hand, makes a (randomized) copy of its first required argument \ameta{name\SUB1} and saves it as \ameta{name\SUB2}, without effecting the order of \ameta{name\SUB1}. \bVerb\takeMeasure{\string\copyRanToks\darg{\ameta{name\SUB1}}\darg{\ameta{name\SUB2}}}% \begin{minipage}{\bxSize}\kern0pt \begin{Verbatim}[frame=single,commandchars=!()] \copyRanToks{!ameta(name!SUB1)}{!ameta(name!SUB2)} \end{Verbatim} \end{minipage}\eVerb Thus, if \verb!\copyRanToks{myPals}{myPals1}! is executed, the token list name \texttt{myPals1} contains the names of my pals in another randomized order, while maintaining the same order of \texttt{myPals}. \newtopic My original application for this, the one that motivated writing this package at long last, was the need to arrange several form buttons randomly on the page. My point is that the listing given in the argument of \cs{ranToks} can pretty much be anything that is allowed to be an argument of a macro; this would exclude verbatim text created by \cs{verb} and verbatim environments. \subsection{The \texorpdfstring{\protect\cs{bRTVToks}/\protect\cs{eRTVToks}} {\CMD{bRTVToks}/\CMD{eRTVToks}} pair of commands}\label{ss:RTVToks} Sometimes the content to be randomized is quite large or contains verbatim text. For this, it may be more convenient to use the \cs{bRTVToks}/\penalty0\cs{eRTVToks} command pair. The syntax is \bVerb\takeMeasure{\string\bRTVToks\darg{\meta{name}}\quad}% \edef\WIDTH{\the\wd\webtempboxi}% \def\1{\rlap{\hspace*{\WIDTH}\texttt{\% <-{\sffamily{ End token listing}}}}}% \takeMeasure{\string\bRTVToks\darg{\meta{name}}\quad\% <-{\sffamily{ Begin token listing}}}% \begin{minipage}{\bxSize}\kern0pt \begin{Verbatim}[frame=single,commandchars=!()] \bRTVToks{!meta(name)}!quad% <-!sffamily( Begin token listing) \begin{rtVW} !qquad!ameta(content!SUB(1)) \end{rtVW} ... ... \begin{rtVW} !qquad!ameta(content!SUB(n)) \end{rtVW} !1\eRTVToks \end{Verbatim} \end{minipage}\eVerb The \cs{bRTVToks}\texttt{\{\meta{name}\}} command begins the (pseudo) environment and is ended by \cs{eRTVToks}. Between these two are a series of \texttt{rtVW} (random toks verbatim write) environments. When the document is compiled, the contents (\ameta{content\SUB{i}}) of each of these environments are written to the computer hard drive and saved under a different name (based on the parameter \meta{name}). Later, using the \cs{useRanTok} commands, they are input back into the document in a random order. The \env{rtWVW} environment also writes the command \cs{RTVWHook}\marginpar{\small\itshape\flushright\cs{RTVWHook}} to the top of the file. Its initial value is \cs{relax}. It can be redefined using the convenience command \cs{rtVWHook\darg{\ameta{arg}}}, which expands to \verb|\def\RTVWHook{|\ameta{arg}\verb|}|. The use of \cs{useRTName} and \cs{useRanTok} were explained and illustrated in the previous section. Let's go to the examples, \begin{Verbatim}[xleftmargin=\amtIndent] \bRTVToks{myThoughts} \begin{rtVW} \begin{minipage}[t]{.67\linewidth} Roses are red and violets are blue, I've forgotten the rest, have you too? \end{minipage} \end{rtVW} \begin{rtVW} \begin{minipage}[t]{.67\linewidth} I gave up saying bad things like \verb!$#%%%^*%^&#$@#! when I was just a teenager. \end{minipage} \end{rtVW} \begin{rtVW} \begin{minipage}[t]{.67\linewidth} I am a good guy, pass it on! The code for this last sentence is, \begin{verbatim} %#$% I am a good guy, pass it on! ^&*&^* \end{verbatim} How did that other stuff get in there? \end{minipage} \end{rtVW} \eRTVToks \end{Verbatim} OK, now, let's display these three in random order. Here we place them in an \texttt{enumerate} environment. \bRTVToks{myThoughts}% \begin{rtVW} \begin{minipage}[t]{.67\linewidth} Roses are red and violets are blue, I've forgotten the rest, have you too? \end{minipage} \end{rtVW} \begin{rtVW} \begin{minipage}[t]{.67\linewidth} I gave up saying bad things like \verb!$#%%%^*%^&#$@#! when I was just a teenager. \end{minipage} \end{rtVW} \begin{rtVW} \begin{minipage}[t]{.67\linewidth} I am a good guy, pass it on! The code for this last sentence is, \begin{verbatim} %#$% I am a good guy, pass it on! ^&*&^* \end{verbatim} How did that other stuff get in there? \end{minipage} \end{rtVW} \eRTVToks \begin{enumerate} \item \useRanTok{1} \item \useRanTok{2} \item \useRanTok{3} \end{enumerate} The verbatim listing of the example above is \begin{Verbatim}[xleftmargin=\amtIndent] \begin{enumerate} \item \useRanTok{1} \item \useRanTok{2} \item \useRanTok{3} \end{enumerate} \end{Verbatim} The \cs{reorderRanToks} works for lists created by the \cs{bRTVToks}/\penalty0\cs{bRTVToks} construct. If we say \cs{reorderRanToks\darg{myThoughts}} and reissue the above list, we obtain, \begin{enumerate}\ranToksOn\reorderRanToks{myThoughts} \displayListRandomly[\item]{myThoughts} \end{enumerate} The command \cs{copyRanToks} works for list created by \cs{bRTVToks}/\penalty0\cs{bRTVToks} as well. \paragraph*{On the \cs{displayListRandomly} command.}\label{para:DLR} In the enumerate example immediately above, the items in the list are explicitly listed as \cs{item \cs{useRanTok\darg{1}}} and so one; an alternate approach is to use the command \cs{displayListRandomly}, like so, \begin{Verbatim}[xleftmargin=\amtIndent] \begin{enumerate} \displayListRandomly[\item]{myThoughts} \end{enumerate} \end{Verbatim} The full syntax for \cs{displayListRandomly} is displayed next. \bVerb\takeMeasure{\string\displayListRandomly[\ameta{prior}][\ameta{post}]\darg{\meta{name}}}% \begin{minipage}{\bxSize}\kern0pt \begin{Verbatim}[frame=single,commandchars=!()] \displayListRandomly[!ameta(prior)][!ameta(post)]{!meta(name)} \end{Verbatim} \end{minipage} \eVerb The action of \cs{displayListRandomly} is to expand all tokens that are listed in the \meta{name} token list, each entry is displayed as \ameta{prior}\cs{useRanTok\darg{i}}\ameta{post}, where \texttt{i} goes from~1 to \cs{nToksFor\darg{\meta{name}}}. In the example above, \meta{prior} is \cs{item}, but normally, its default is empty. The defaults for \ameta{prior} and \ameta{post} are both empty. \subparagraph*{The optional arguments.} When only one optional argument is present, if is interpreted as \ameta{prior}. To obtain a \ameta{post} with no \ameta{prior} use the syntax, \begin{quote} \cs{displayListRandomly[][\ameta{post}]\darg{\ameta{name}}} \end{quote} Within \emph{each optional argument}, the four commands \cs{i}, \cs{first}, \cs{last}, and \cs{lessone} are (locally) defined. The \cs{i} command is the index counter of the token currently being typeset; \cs{first} is the index of the first item; \cs{last} is the index of the last item; and \cs{lessone} is one less than \cs{last}. The two optional arguments and the four commands may use to perform logic on the token as it is being typeset. For example: \begin{Verbatim}[xleftmargin=\amtIndent,fontsize=\small] List of pals: \displayListRandomly [\ifnum\i=\last and \fi] [\ifnum\i=\last.\else, \fi]{myPals} \end{Verbatim} yields, \begin{quote} List of pals: \displayListRandomly [\ifnum\i=\last and \fi] [\ifnum\i=\last.\else, \fi]{myPals} \end{quote} The optional arguments are wrapped to the next line to keep them within the margins, cool. The example above shows the list of my pals with an Oxford comma. How would you modify the optional argument to get the same listing without the Oxford comma? (\displayListRandomly[\ifnum\i=\last and \fi][\ifnum\i=\last.\else\ifnum\i=\lessone\relax\space\else, \fi\fi]{myPals}) Hint: a solution involves the other command \cs{lessone}. \section{Additional arguments and commands}\label{AddCmds} The syntax given earlier for \cs{useRanTok} was not completely specified. It is \bVerb\takeMeasure{\string\useRanTok[\meta{name}]\darg{\meta{num}}}% \begin{minipage}{\bxSize}\kern0pt \begin{Verbatim}[frame=single,commandchars=!()] \useRanTok[!meta(name)]{!meta(num)} \end{Verbatim} \end{minipage}\eVerb The optional first parameter specifies the \meta{name} of the list from which to draw a random token; \meta{num} is the number of the token in the range of 1 and \cs{nToksFor\darg{\meta{name}}}, inclusive. The optional argument is useful in special circumstances when you want to mix two random lists together. \newtopic\noindent To illustrate: \useRanTok[myPals]{1}, \useRanTok[myThoughts]{2} \newtopic\noindent The verbatim listing is \begin{Verbatim}[xleftmargin=\amtIndent] To illustrate: \useRanTok[myPals]{1}, \useRanTok[myThoughts]{2} \end{Verbatim} The typeset version looks a little strange, but recall, the text of \texttt{myThoughts} were each put in a \texttt{minipage} of width \texttt{.67\cs{linewidth}}. Without the \texttt{minipage}, the text would wrap around normally. \paragraph*{Accessing the original order.} The original order of the list of tokens is not lost, you can retrieve them using the command \cs{rtTokByNum}, \bVerb\takeMeasure{\string\rtTokByNum[\meta{name}]\darg{\meta{num}}}% \begin{minipage}{\bxSize}\kern0pt \begin{Verbatim}[frame=single,commandchars=!()] \rtTokByNum[!meta(name)]{!meta(num)} \end{Verbatim} \end{minipage}\eVerb This command expands to the token declared in the list named \meta{name} that appears at the \meta{num} place in the list. (Rather awkwardly written.) For example, my really best pals are {\rtTokByNum[myPals]{3}} and \rtTokByNum[myPals]{4}, but don't tell them. The listing is, \begin{Verbatim}[xleftmargin=\amtIndent] For example, my really best pals are {\rtTokByNum[myPals]{3}} and \rtTokByNum[myPals]{4}, but don't tell them. \end{Verbatim} In some sense, \cs{rtTokByNum[\meta{name}]} acts like a simple array, the length of which is \cs{nToksFor\{\meta{name}\}}, and whose $k^{\text{th}}$ element is \cs{rtTokByNum[\meta{name}]\{\meta{k}\}}. \paragraph*{Turning off randomization.} The randomization may be turned off using \cs{ranToksOff} or turned back on with \cs{ranToksOn}. \bVerb\takeMeasure{\string\ranToksOff\quad\string\ranToksOn}% \begin{minipage}{\bxSize}\kern0pt \begin{Verbatim}[frame=single,commandchars=!()] \ranToksOff!quad\ranToksOn \end{Verbatim} \end{minipage}\eVerb This can be done globally in the preamble for the whole of the document, or in the body of the document just prior to either \cs{ranToks} or \cs{bRTVToks}. For example, \begin{Verbatim}[xleftmargin=\amtIndent] \ranToksOff \ranToks{integers}{ {1}{2}{3}{4} } \ranToksOn \end{Verbatim} As a check, executing `$\cs{useRanTok\darg{3}} = \cs{rtTokByNum\darg{3}} = 3 $' yields `\ranToksOff\ranToks{integers}{ {1}{2}{3}{4}}\ranToksOn $\useRanTok{3} = \rtTokByNum{3} = 3 $'? As anticipated. To create a non-randomized list of tokens that already have been created (and randomized), use \cs{copyRanToks}: \begin{Verbatim}[xleftmargin=\amtIndent] \ranToksOff\copyRanToks{myPals}{myOriginalPals}\ranToksOn \end{Verbatim} Then, using \cs{displayListRandomly} in a clever way, \begin{Verbatim}[xleftmargin=\amtIndent] \displayListRandomly[\ifnum\i=\last\space and \fi(\the\i)~] [\ifnum\i=\last.\else,\fi\space]{myOriginalPals} \end{Verbatim} we obtain: \ranToksOff\copyRanToks{myPals}{myOriginalPals}\ranToksOn \displayListRandomly[\ifnum\i=\last\space and \fi(\the\i)~][\ifnum\i=\last.\else,\fi\space]{myOriginalPals} The original list for \texttt{myPals} remains unchanged: \displayListRandomly[\ifnum\i=\last\space and \fi(\the\i)~][\ifnum\i=\last.\else,\fi\space]{myPals} The \cs{useRanTok} command---whether it operates on a randomized token list or not---behaves similarly to an array. Thus, if we wanted the extract the third entry of the non-randomized token list (array) \texttt{myOriginalPals}, we do so by expanding the command \verb!\useRanTok[myOriginalPals]{3}! to produce \useRanTok[myOriginalPals]{3}. \subparagraph*{Document preparation.} The command \cs{ranToksOff} is probably best in the preamble to turn off all randomization while the rest of the document is being composed. \paragraph*{The \textsf{ran\_toks} auxiliary file.} The package writes to a file named \cs{jobname\_rt.sav}, below represents two typical lines in this file. \begin{Verbatim}[xleftmargin=\amtIndent] 1604051353 % initializing seed value 5747283528 % last random number used \end{Verbatim} The first line is the initializing seed value used for the last compilation of the document; the second line is the last value of the pseudo-random number generator used in the document. Normally, the pseudo-random number generator provided by \texttt{random.tex} produces a new initial seed value every minute. So if you recompile again before another minute, you'll get the same initial seed value. \paragraph*{Controlling the initial seed value.} To obtain a new initial seed value each time you compile, place \cs{useLastAsSeed} in the preamble. \bVerb\takeMeasure{\string\useLastAsSeed}% \begin{minipage}{\bxSize}\kern0pt \begin{Verbatim}[frame=single] \useLastAsSeed \end{Verbatim} \end{minipage}\eVerb When the document is compiled, the initial seed value taken as the second line in the \cs{jobname\_rt.sav} file, as seen in the above example. With this command in the preamble, a new set of random numbers is generated on each compile. If the file \cs{jobname\_rt.sav} does not exist, the generator will be initialized by its usual method, using the time and date. The command \cs{useThisSeed} allows you to reproduce a previous pseudo-random sequence. \bVerb\takeMeasure{\string\useThisSeed\darg{\meta{init\_seed\_value}}}% \begin{minipage}{\bxSize}\kern0pt \begin{Verbatim}[frame=single,commandchars=!()] \useThisSeed{!meta(init_seed_value)} \end{Verbatim} \end{minipage}\eVerb This command needs to be placed in the preamble. The value of \meta{init\_seed\_value} is an integer, normally taken from the first line of the \cs{jobname\_rt.sav} file. When creating tests (possibly using \textsf{eqexam}), the problems, or contiguous collections of problems, can be randomly ordered using the \cs{bRTVToks}/\penalty0\cs{eRTVToks} command pair paradigm. For example, suppose there are two classes and you want a random order (some of) the problems for each of the two classes. Proceed as follows: \begin{enumerate} \item Compile the document, open \cs{jobname\_rt.sav}, and copy the first line (in the above example, that would be \texttt{1604051353}). \item Place \cs{useThisSeed\darg{1604051353}} in the preamble. Compiling will bring back the same pseudo-random sequence very time. \item Comment this line out, and repeat the process (use \cs{useLastAsSeed} to generate new random sequences at each compile) until you get another distinct randomization, open \cs{jobname\_rt.sav}, and copy the first line again, say its \texttt{735794511}. \item Place \cs{useThisSeed\darg{735794511}} in the preamble. \item Label each \begin{Verbatim} %\useThisSeed{1604051353} % 11:00 class %\useThisSeed{735794511} % 12:30 class \end{Verbatim} To reproduce the random sequence for the class, just uncomment the random seed used for that class. \end{enumerate} If you are using \textsf{eqexam}, the process can be automated as follows: \begin{Verbatim}[xleftmargin=\amtIndent,commandchars=!()] \vA{\useThisSeed{1604051353}} % 11:00 class \vB{\useThisSeed{735794511}} % 12:30 class \end{Verbatim} Again, this goes in the preamble. \section{Commands to support a DB application}\label{s:DBConcept} One user wanted to create exams using \pkg{eqexam}, but wanted to randomly select questions from a series of `database' files. My thought was that \pkg{ran\_toks} would do the job for him. After setting up a demo for him, I added the new command \cs{useTheseDBs} to \pkg{ran\_toks}: \bVerb\takeMeasure{\string\useTheseDBs\darg{\ameta{db\SUB{1}},\ameta{db\SUB{2}},...,\ameta{db\SUB{n}}}}% \begin{minipage}{\bxSize}\kern0pt \begin{Verbatim}[frame=single,commandchars=!()] \useTheseDBs{!ameta(db!SUB(1)),!ameta(db!SUB(2)),...,!ameta(db!SUB(n))} \useProbDBs{!ameta(db!SUB(1)),!ameta(db!SUB(2)),...,!ameta(db!SUB(n))} \end{Verbatim} \end{minipage}\eVerb The argument of \cs{useTheseDBs} is a comma-delimited list of file names. Each file name contains a \cs{bRTVToks}/\penalty0\cs{eRTVToks} construct. Within this pair are \env{rtVW} environments, as described in \hyperref[ss:RTVToks]{Section~\ref*{ss:RTVToks}}. The \cs{useTheseDBs} command inputs the files listed in its comma-delimited argument; a warning is emitted if one or more of the files are not found. The default extension is \texttt{.tex}, \cs{useTheseDBs\darg{db1,db2}} inputs the files \texttt{db1.tex} and \texttt{db2.tex}, if they exist, while \cs{useTheseDBs\darg{db1.def,db2.db}} inputs the files \texttt{db1.def} and \texttt{db2.db}, if they exist. The command \cs{useProbDBs} is an alias for \cs{useTheseDBs}. The placement of \cs{useTheseDBs} is anywhere prior to the insertion of the problems into the document, usually in the preamble. Refer to the demonstration file \texttt{mc-db.tex} for an example. \newtopic\noindent Now, I simply must get back to my retirement. \dps \end{document}