summaryrefslogtreecommitdiff
path: root/macros/latex/contrib/ran_toks/ran_toks.dtx
blob: 89aafdc826a6e94291bfe67d57ac832d4cf55e6a (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
%\iffalse
% makeindex -s gglo.ist -o ran_toks.gls ran_toks.glo
% makeindex -s gind.ist -o ran_toks.ind ran_toks.idx
%<*copyright>
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% ran_toks package,                                    %%
%% Copyright (C) 1999-2019  D. P. Story                 %%
%%   dpstory@uakron.edu, dpstory@acrotex.net            %%
%%                                                      %%
%% This program can redistributed and/or modified under %%
%% the terms of the LaTeX Project Public License        %%
%% Distributed from CTAN archives in directory          %%
%% macros/latex/base/lppl.txt; either version 1 of the  %%
%% License, or (at your option) any later version.      %%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%</copyright>
%<package>\NeedsTeXFormat{LaTeX2e}[1997/12/01]
%<package>\ProvidesPackage{ran_toks}
%<package> [2019/12/28 v1.2 Randomizing tokens (dps)]
%<*driver>
\documentclass{ltxdoc}
\usepackage[colorlinks,hyperindex=false]{hyperref}
%\def\texorpdfstring#1#2{#1}
%\pdfstringdefDisableCommands{\let\\\textbackslash}
\OnlyDescription  % comment out for implementation details
\EnableCrossrefs
\CodelineIndex
\RecordChanges
\bgroup\ttfamily
\gdef\brpr#1{\char123\relax#1\char125\relax}\egroup
\let\darg\brpr
\let\env\texttt
\let\opt\texttt
\let\app\textsf
\def\visispace{\symbol{32}}
\def\ameta#1{\ensuremath{\langle\textit{\texttt{#1}}\rangle}}
\def\meta#1{\textsl{\texttt{#1}}}
\def\SUB#1{\ensuremath{{}_{\mbox{\scriptsize\ttfamily#1}}}}
\def\cs#1{\texttt{\bslash#1}}
\InputIfFileExists{aebdocfmt.def}{\PackageInfo{ran_toks}{Inputting aebdocfmt.def}}
    {\def\IndexOpt{\DescribeMacro}\def\IndexKey{\DescribeMacro}\let\setupFullwidth\relax
     \PackageInfo{ran_toks}{aebdocfmt.def cannot be found}}
\begin{document}
\def\CMD#1{\textbackslash#1}
\let\pkg\textsf
\let\opt\texttt
\addtolength{\marginparwidth}{3pt}
  \GetFileInfo{ran_toks.sty}
  \title{The  \textsf{ran\_toks} Package}
  \author{D. P. Story\\
    Email: \texttt{dpstory@uakron.edu}}
  \date{processed \today}
  \maketitle
  \tableofcontents
  \DocInput{ran_toks.dtx}
\IfFileExists{\jobname.ind}{\newpage\setupFullwidth\par\PrintIndex}{\paragraph*{Index} The index goes here.\\Execute
    \texttt{makeindex -s gind.ist -o ran\_toks.ind ran\_toks.idx} on the command line and recompile
    \texttt{ran\_toks.dtx}.}
\IfFileExists{\jobname.gls}{\PrintChanges}{\paragraph*{Change History} The list of changes goes here.\\Execute
    \texttt{makeindex -s gglo.ist -o ran\_toks.gls ran\_toks.glo} on the command line and recompile
    \texttt{ran\_toks.dtx}.}
\end{document}
%</driver>
% \fi
% \MakeShortVerb{|}
% \InputIfFileExists{aebdonotindex.def}{\PackageInfo{ran_toks}{Inputting aebdonotindex.def}}
%    {\PackageInfo{ran_toks}{cannot find aebdonotindex.def}}
%
%    \begin{macrocode}
%<*package>
%    \end{macrocode}
% \paragraph*{Description.}
% This short package randomizes a list of tokens. The command, \cs{ranToks},
% takes one argument, which is a list of tokens:
%\begin{quote}\ttfamily
%   \string\ranToks\darg{\ameta{name}}\\
%   \darg{\\\null
%   \qquad\darg{\ameta{tok\SUB1}}\darg{\ameta{tok\SUB2}}...\darg{\ameta{tok\SUB{n}}}\\
%   }
%\end{quote}
% The command defines a series of $n$ internal commands, one for each of the tokens.
% The definitions are essentially randomized. The randomized tokens are accessed through
% the command \cs{useRanTok}. For example
%\begin{quote}\ttfamily
%\cs{useRanTok\darg{1}}, \cs{useRanTok\darg{2}},..., \cs{useRanTok\darg{n}}
%\end{quote}
% gives a random listing of the $n$ tokens. These can be arranged on the page
% as desired.
%
% There is a second construct, designed for more elaborate randomization.
%\begin{quote}\ttfamily
%\string\bRTVToks\darg{\ameta{name}}\\
%\string\begin\darg{rtVW}\\
%\null\qquad\ameta{some content}\\
%\string\end\darg{rtVW}\\
%...\\
%...\\
%\string\begin\darg{rtVW}\\
%\null\qquad\ameta{some content}\\
%\string\end\darg{rtVW}\\
%\string\eRTVToks
%\end{quote}
% The contents of each of the \texttt{rtVW} environments are written to the computers hard drive, then input
% back in random order, using \cs{useRanTok}, eg,
%\begin{quote}\ttfamily
%\cs{useRanTok\darg{1}}, \cs{useRanTok\darg{2}},..., \cs{useRanTok\darg{n}}
%\end{quote}
% Other details are left to the readers' imagination.
%
% \paragraph{Requirements.} As of this writing, we require only the \texttt{verbatim} package
% and \texttt{random.tex}, the package was written by Donald Arseneau.
%    \begin{macrocode}
\RequirePackage{verbatim}
%    \end{macrocode}
% \paragraph*{Input \texttt{random.tex}.} Input \texttt{random.tex} if not already input.
%\changes{v1.0d}{2013/08/03}{Added conditional input of random.tex}
%    \begin{macrocode}
\@ifundefined{nextrandom}{\input{random.tex}}{}
%    \end{macrocode}
% We redefine \cs{nextrandom} from \texttt{random.tex} to save the initializing seed.
%    \begin{macrocode}
\def\nextrandom{\begingroup
  \ifnum\randomi<\@ne % then initialize with time
    \global\randomi\time
    \global\multiply\randomi388 \global\advance\randomi\year
    \global\multiply\randomi31 \global\advance\randomi\day
    \global\multiply\randomi97 \global\advance\randomi\month
    \message{Randomizer initialized to \the\randomi.}%
    \nextrandom \nextrandom \nextrandom
%    \end{macrocode}
% Save the initial seed value to \cs{rtInitSeedValue}.
% \changes{v1.0c}{2013/08/03}{Save the initial seed value to \string\cs{rtInitSeedValue}.}
%    \begin{macrocode}
    \xdef\InitSeedValue{\the\randomi}%
 \fi
 \count@ii\randomi
 \divide\count@ii 127773 % modulus = multiplier * 127773 + 2836
 \count@\count@ii
 \multiply\count@ii 127773
 \global\advance\randomi-\count@ii % random mod 127773
 \global\multiply\randomi 16807
 \multiply\count@ 2836
 \global\advance\randomi-\count@
 \ifnum\randomi<\z@ \global\advance\randomi 2147483647\relax\fi
 \endgroup
}
%    \end{macrocode}
% The code for this package was taken from the \textsf{dps} package, and modified
% suitably. We use several token registers and count registers. This can probably
% be optimized.
%    \begin{macrocode}
\newtoks\rt@listIn \rt@listIn={}
\newtoks\rt@newListIn \rt@newListIn={}
\newtoks\rt@listOut \rt@listOut={}
\newcount\rt@nMax
\newcount\rt@nCnt
\newcount\rt@getRanNum
\newif\ifrtdebug \rtdebugfalse
\newif\ifwerandomize \werandomizetrue
\newif\ifsaveseed\saveseedtrue
\newwrite\rt@Verb@write
%    \end{macrocode}
%    \begin{macrocode}
\def\rt@nameedef#1{\expandafter\edef\csname #1\endcsname}
%    \end{macrocode}
%    \begin{macrocode}
%</package>
%<*altpkgname>
%    \end{macrocode}
%
% \section{Alternate package name: \texorpdfstring{\protect\pkg{ran-toks}}{ran-toks}}
% CTAN lists this package (\pkg{ran\_toks}) as \pkg{ran-toks}, so we'll create
% a dummy package by that name.
% \changes{v1.2}{2019/12/28}{Added dummy package \string\pkg{ran-toks}}
%    \begin{macrocode}
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{ran-toks}
 [2019/12/28 v1.0 ran-toks Alt-name (dps)]
\DeclareOption*{\PassOptionsToPackage{\CurrentOption}{ran_toks}}
\ProcessOptions
\RequirePackage{ran_toks}[2019/12/28]
%    \end{macrocode}
%    \begin{macrocode}
%</altpkgname>
%<*package>
%    \end{macrocode}
% \section{Commands for controlling the process}
%
% \DescribeMacro{\ranToksOn}\DescribeMacro{\ranToksOff} These two turn on and turn off
% randomization.
%    \begin{macrocode}
\def\ranToksOn{\werandomizetrue}
\def\ranToksOff{\werandomizefalse}
%    \end{macrocode}
% \DescribeMacro{\useThisSeed} initializes the random number generator. Use this to reproduce
% the same sequence of pseudo-random numbers from an earlier run. We also set
% \cs{saveseedfalse} so we do not write the initial seed to the disk.
%    \begin{macrocode}
\def\useThisSeed#1{\saveseedfalse\randomi=#1}
\@onlypreamble\useThisSeed
%    \end{macrocode}
% \DescribeMacro{\useLastAsSeed} initializes the random number generator using the
% last random seed. If the file \cs{jobname\_rt.sav} does not exist, the generator will be
% initialized using time and date data.
%    \begin{macrocode}
\def\useLastAsSeed{\rt@useLastAsSeed}
\@onlypreamble\useLastAsSeed
\def\rt@useLastAsSeed{%
  \IfFileExists{\jobname_rt.sav}{%
    \PackageInfo{ran_toks}{Inputting \jobname_rt.sav}%
    \@ifundefined{readsavfile}{\newread\readsavfile}{}%
    \openin\readsavfile=\jobname_rt.sav
    \read\readsavfile to \InitSeedValue
    \read\readsavfile to \lastRandomNum
    \closein\readsavfile
    \randomi=\lastRandomNum
%    \end{macrocode}
% When \cs{useLastAsSeed}, the last becomes the first.
%    \begin{macrocode}
        \xdef\InitSeedValue{\the\randomi}
  }{%
    \PackageInfo{ran_toks}{\jobname_rt.sav cannot
      be found, \MessageBreak
      using the random initializer}%
  }%
}
\@ifundefined{aeb@randomizeChoices}{%
    \let\inputRandomSeed\useLastAsSeed
    \let\useRandomSeed\useThisSeed}{}
%    \end{macrocode}
%
% \section{Utility commands}
%
% A standard \cs{verbatim} write used in exerquiz and other package in the AeB family.
%    \begin{macrocode}
\def\verbatimwrite{\@bsphack
  \let\do\@makeother\dospecials
  \catcode`\^^M\active \catcode`\^^I=12
  \def\verbatim@processline{%
    \immediate\write\verbatim@out
    {\the\verbatim@line}}%
  \verbatim@start}
\def\endverbatimwrite{\@esphack}
\def\rt@IWVO{\immediate\write\verbatim@out}
%    \end{macrocode}
% We write only if \cs{ifsaveseed} is true.
%    \begin{macrocode}
\def\InitSeedValue{\the\randomi}
\def\rt@writeSeedData{\ifsaveseed
  \@ifundefined{saveseedinfo}{\newwrite\saveseedinfo}{}
  \immediate\openout \saveseedinfo \jobname_rt.sav
  \let\verbatim@out\saveseedinfo
  \def\rt@msgi{initializing seed value}%
  \def\rt@msgii{last random number used}%
  \uccode`c=`\%\uppercase{%
  \rt@IWVO{\InitSeedValue\space c \rt@msgi}%
  \rt@IWVO{\the\randomi\space c \rt@msgii}}\immediate
  \closeout\saveseedinfo\fi}
%    \end{macrocode}
% Save the initial seed value to hard drive.
%    \begin{macrocode}
\AtEndDocument{\rt@writeSeedData}%
%    \end{macrocode}
% \DescribeMacro{\rt@populateList}\hskip-\marginparsep|{|\ameta{n}|}| is a utility command,
% its argument \ameta{n} is a positive integer,
% and it generates a list of the form \verb!\\{1}\\{2}...\\{n}! and is held in the
% token register \cs{rt@listIn}  This listing is later
% randomly permuted by \cs{rt@RandomizeList}.
%    \begin{macrocode}
\def\rt@populateList#1{\rt@listIn={}\rt@nCnt\z@
  \@whilenum\rt@nCnt<#1\do{\advance\rt@nCnt\@ne
    \edef\rt@listInHold{\the\rt@listIn\noexpand\\{\the\rt@nCnt}}%
    \rt@listIn=\expandafter{\rt@listInHold}}}
%    \end{macrocode}
% \DescribeMacro{\rt@RandomizeList}\hskip-\marginparsep\thinspace|{|\ameta{n}|}|
% is the command that gets the process of randomizing
% the input list going. The argument is the number \ameta{n} of tokens. If
% \cs{werandomize} is false, it just returns the input list; otherwise, it
% calls \cs{rt@randomizeList} to actually do the work.
%    \begin{macrocode}
\def\rt@RandomizeList#1{\global
  \rt@listIn={}\global\rt@newListIn={}\global\rt@listOut={}%
  \rt@nMax=#1\relax\rt@populateList{\the\rt@nMax}%
  \ifwerandomize
    \expandafter\rt@randomizeList\else
    \global\rt@listOut=\expandafter{\the\rt@listIn}\fi
%    \end{macrocode}
%    Save the list out as \cs{rt@BaseName-List} for later retrieval. This is the randomized
%    list of integers for this base name.
%    \changes{v1.1}{2017/05/04}{Save out list for later use}
%    \begin{macrocode}
  \global\rt@nameedef{\rt@BaseName-List}{\the\rt@listOut}}
%    \end{macrocode}
% \DescribeMacro{\rt@randomizeList} randomizes the list of consecutive integers, and leaves the
% results,
%\begin{verbatim}
%    \\{k_1}\\{k_2}...\\{k_n}
%\end{verbatim}
% in the token register \cs{rt@listOut}.
% \cs{rt@randomizeList} is a loop, looping between itself and \cs{rt@loopTest}.
%    \begin{macrocode}
\def\rt@randomizeList{\let\\=\rt@processi
  \setrannum{\rt@getRanNum}{1}{\the\rt@nMax}%
\ifrtdebug\typeout{\string\rt@getRanNum=\the\rt@getRanNum}\fi
  \rt@nCnt\z@
\ifrtdebug\typeout{LISTING: \the\rt@listIn}\fi
  \the\rt@listIn
  \rt@loopTest
}
\def\rt@loopTest{\advance\rt@nMax\m@ne
  \ifnum\rt@nMax>\z@
    \def\rt@next{%
      \rt@listIn=\expandafter{\the\rt@newListIn}%
      \rt@newListIn={}\rt@randomizeList}%
  \else
    \let\rt@next\relax
    \global\rt@listOut=\expandafter{\the\rt@listOut}%
    \ifrtdebug
      \typeout{Final Result: \string\rt@listOut=\the\rt@listOut}\fi
  \fi\rt@next
}
%    \end{macrocode}
% In \cs{rt@randomizeList}, we \verb~\let\\=\rt@processi~ before dumping the
% contents of \cs{rt@listIn}. We then go into a loop \cs{rt@loopTest}. \cs{rt@getRanNum}
% is the random integer between 1 and \cs{rt@nMax}.
%    \begin{macrocode}
\def\rt@processi#1{\advance\rt@nCnt\@ne
  \ifnum\rt@nCnt=\rt@getRanNum
    \edef\rt@listOutHold{\the\rt@listOut}%
    \global\rt@listOut=\expandafter{\rt@listOutHold\\{#1}}%
    \ifrtdebug\typeout{Found it: \string\\{#1}}%
    \typeout{New \string\rt@listOut: \the\rt@listOut}\fi
  \else
    \edef\rt@listInHold{\the\rt@newListIn}%
      \rt@newListIn=\expandafter{\rt@listInHold\\{#1}}%
    \ifrtdebug\typeout{\string\rt@newListIn: \the\rt@newListIn}\fi
  \fi
}
%    \end{macrocode}
%    We perform modular arithmetic when the index of \cs{useRanTok} is too large.
%    \DescribeMacro{\rt@modarith}\cs{rt@modarith} performs modular arithmetic on its arguments (\texttt{\#1 mod \#2})
%    and returns the result in the macro \cs{rt@mod}.
%    \begin{macrocode}
\def\rt@modarith#1#2{\count\z@=#1\relax\count\tw@=#1\relax
%    \end{macrocode}
%    This macro uses \cs{dimen0} and
%    \cs{dimen2}, so it should be called within a group.
%    \begin{macrocode}
  \advance\count\z@\m@ne\divide\count\z@ #2\relax
  \multiply\count\z@ #2\relax
  \advance\count\tw@-\count\z@
  \edef\rt@mod{\the\count\tw@}}
%    \end{macrocode}
%    Warning messages, these are \DescribeMacro{\rt@badIndex}\cs{rt@badIndex} and
%    \cs{rt@badTokName}\DescribeMacro{\rt@badTokName}.
%    \begin{macrocode}
\def\rt@badIndex#1#2{\PackageWarningNoLine{ran_toks}
    {The argument of \string\useRanTok{#1} on line
      \the\inputlineno\space is\MessageBreak
        greater than \string\nToksFor{#2} (\nToksFor{#2}),
        instead will use\MessageBreak
        \string\useRanTok{\rt@mod}, obtained from modular
        arithmetic.\MessageBreak
        You might want to fix this}
}
\def\rt@badTokName#1{%
  \PackageWarningNoLine{ran_toks}
    {The token list `#1' on line \the\inputlineno\space
      is undefined,\MessageBreak
      possibly simply mispelled; check spelling.\MessageBreak
      If undefined, use \string\ranToks\space or \string\bRTVToks/%
      \string\eRTVToks\space\MessageBreak
      to define a list with the name `#1'}%
}
\def\rt@warnTokName#1{%
  \PackageWarningNoLine{ran_toks}
    {The token list `#1' on line \the\inputlineno\space
      is already defined,\MessageBreak
      will overwrite this list}%
}
%    \end{macrocode}
% \section{The main commands}
%    \begin{macro}{\ranToks}\hskip-\marginparsep\,\texttt{\darg{\ameta{token-list}}}
% takes one argument, \texttt{\darg{\ameta{token-list}}}, a list of tokens. It randomizes them.
% The randomized listing can be accessed using \cs{useRanTok}.
%    \begin{macrocode}
\def\ranToks#1{\begingroup
  \useRTName{#1}%
  \r@nToks
}
\long\def\r@nToks#1{\rt@nMax\z@\r@ndToks#1\rt@NIL}
\def\rt@NIL{@nil}
%    \end{macrocode}
%    \end{macro}
%    \begin{macro}{\useRTName}\hskip-\marginparsep\,\texttt{\darg{\ameta{name}}}
% sets the base name (use prior to the use of \cs{useRanTok}).
%    \begin{macrocode}
\newcommand{\useRTName}[1]{\gdef\rt@BaseName{#1}}%
\let\rt@BaseName\@empty
%    \end{macrocode}
%    \end{macro}
%    \begin{macro}{\bRTVToks}\hskip-\marginparsep\,\texttt{\darg{\ameta{name}}}
% \cs{bRTVToks} and \cs{eRTVToks} enclose a series
% of \texttt{rtVW} environments. The single argument is the name of this set of
% verbatim write ``tokens''.
%    \begin{macrocode}
\newcommand{\bRTVToks}[1]{\rt@nCnt\z@\useRTName{#1}}
%    \end{macrocode}
%    \end{macro}
%    \begin{macro}{\eRTVToks}
% At the end of the \texttt{rtVW} environments, initiated by \cs{bRTVToks}, the
% \cs{eRTVToks} command saves the number of tokens counted, and randomizes the
% access to the contents of the \texttt{rtVW} environments, this done by
% \cs{r@nVToks}.
%    \begin{macrocode}
\newcommand{\eRTVToks}{\global
  \rt@nameedef{\rt@BaseName Cnt}{\the\rt@nCnt}%
  \expandafter\r@nVToks\expandafter{\rt@BaseName}}
%    \end{macrocode}
%    \end{macro}
%    \begin{environment}{rtVW}
% \cs{rtVW} is a verbatim write environment. It saves its contents to the file
% \verb!\jobname_\rt@BaseName\the\rt@nCnt.cut!. The file is later input back into
% the source file in a random way.
%    \begin{macrocode}
\def\reVerbEnd{\ifhmode\unskip\fi}
%    \end{macrocode}
%    Insert the hook \cs{rtVWHook} prior to writing the verbatim content.
%    The default is \cs{relax}.
%    \changes{v1.2}{2019/12/28}{Defined \string\cs{rtVWHook}}
%    \begin{macrocode}
\def\rtVWHook#1{\def\@rgi{#1}\ifx\@rgi\@empty
  \let\RTVWHook\relax\else\def\RTVWHook{#1}\fi}
\rtVWHook{}
\newenvironment{rtVW}{\global\advance\rt@nCnt\@ne
  \immediate\openout\rt@Verb@write
    \jobname_\rt@BaseName\the\rt@nCnt.cut
  \let\verbatim@out\rt@Verb@write
  \rt@IWVO{\string\RTVWHook}%
  \verbatimwrite
}{%
  \endverbatimwrite
  \immediate\write\rt@Verb@write{\string\reVerbEnd}%
  \immediate\closeout\rt@Verb@write
}
%    \end{macrocode}
%    \end{environment}
% \DescribeMacro{\r@nVToks} randomizes the contents of the \texttt{rtVW}
% environment.
%    \begin{macrocode}
\def\r@nVToks#1{\begingroup
  \gdef\rt@BaseName{#1}%
  \expandafter\rt@nMax\@nameuse{#1Cnt}%
  \rt@listIn={}\rt@nCnt=0\relax\let\rt@listInHold\@empty
  \@whilenum\rt@nCnt<\rt@nMax\do{\advance\rt@nCnt\@ne
    \edef\rt@listInHold{%
      \the\rt@listIn{\noexpand\rt@inputVerb{#1\the\rt@nCnt}}}%
    \rt@listIn=\expandafter{\rt@listInHold}}\ifrtdebug
  \typeout{\string\r@nVToks: \the\rt@listIn}\fi
  \expandafter\r@nToks\expandafter{\the\rt@listIn}}
\def\rt@inputVerb#1{\input{\jobname_#1.cut}}
%    \end{macrocode}
% \DescribeMacro{\r@ndToks} is main looping command for \cs{ranToks}
% and \cs{eRTVToks} (through \cs{r@nVToks}).  If the ending token \cs{rt@NIL} is detected, we
% break off and go to \cs{rt@endToks}.
% \changes{v1.0e}{2016/02/06}{Fixed a bug, when the first two tokens \string\texttt{\#1} are the same,
% we get an incorrect decision}
%    \begin{macrocode}
\def\rt@PAR{\par}
\long\def\r@ndToks#1{\def\rt@rgi{#1}%
%    \end{macrocode}
% If the current argument is \cs{par}, we skip it
%    \begin{macrocode}
  \ifx\rt@rgi\rt@PAR\def\rt@next{\r@ndToks}\else
    \advance\rt@nMax\@ne
    \global\@namedef{rtTok\the\rt@nMax\rt@BaseName}{#1}%
    \def\rt@next{\@ifnextchar\rt@NIL
      {\rt@endToks\@gobble}{\r@ndToks}}\fi\rt@next}
%    \end{macrocode}
%    \hskip-\marginparsep|{|\ameta{n}|}| The \DescribeMacro{\rt@performRanDefns}\cs{rt@performRanDefns} performs code that
%    is repeated in several other macros: \cs{rt@endToks}, \cs{reorderRanToks}, and
%    \cs{copyRanToks}. It randomizes the list {\cs{rt@RandomizeList}, then assignments
%    the randomized list to the definitions.
%    \begin{macrocode}
\def\rt@performRanDefns#1{%
%    \end{macrocode}
% Now we randomize the order of the integers 1, 2,\dots \texttt{\#1}.
%    \begin{macrocode}
  \rt@RandomizeList{#1}\rt@nCnt\z@
%    \end{macrocode}
% Now we randomize the definitions. We \verb!\let\\=\rt@ssign!, then
% let loose the tokens!
%    \begin{macrocode}
  \let\\\rt@ssign\the\rt@listOut}
%    \end{macrocode}
% The final destination for \DescribeMacro{\rt@endToks}\cs{r@ndToks}.
%    \begin{macrocode}
\def\rt@endToks{\global
%    \end{macrocode}
% Save the number of tokens counted
%    \begin{macrocode}
  \rt@nameedef{nMax4\rt@BaseName}{\the\rt@nMax}%
  \rt@performRanDefns{\the\rt@nMax}\endgroup}
%    \end{macrocode}
%    \begin{macro}{\reorderRanToks}\hskip-\marginparsep\,\texttt{\darg{\ameta{name}}}
%    The \cs{reorderRanToks} command reorders (or re-indexes)
%    the family with name \ameta{name} (\texttt{\#1}).
%    \begin{macrocode}
\def\reorderRanToks#1{\begingroup\useRTName{#1}\expandafter
  \ifx\csname nMax4#1\endcsname\relax
%    \end{macrocode}
%    Document author has not run \cs{ranToks} yet for this basename (\texttt{\#1})
%    \begin{macrocode}
    \rt@badTokName{#1}\else
%    \end{macrocode}
%    Good to go. We reorder this list.
%    \begin{macrocode}
    \rt@performRanDefns{\@nameuse{nMax4#1}}\fi
\endgroup}
%    \end{macrocode}
%    \end{macro}
%    \begin{macro}{\copyRanToks}\hskip-\marginparsep
%       \texttt{\darg{\ameta{name1}}\darg{\ameta{name2}}}
%       Use this command to copy \ameta{name1} to \ameta{name2}. This gives
%       a randomization of the same list, without affecting the original order of \ameta{name1}.
%    \begin{macrocode}
\newcommand\copyRanToks[2]{\begingroup\expandafter
  \ifx\csname nMax4#1\endcsname\relax
%    \end{macrocode}
%    Source list is not defined
%    \begin{macrocode}
        \rt@badTokName{#1}%
  \else\expandafter
%    \end{macrocode}
%    Source list is defined
%    \begin{macrocode}
    \ifx\csname nMax4#2\endcsname\relax
%    \end{macrocode}
%    Destination list is not defined, which is good in this instance. This is
%    the case we copy the list.
%    \begin{macrocode}
      \useRTName{#2}\global
      \rt@nameedef{nMax4#2}{\@nameuse{nMax4#1}}%
      \rt@nCnt=\csname nMax4#2\endcsname\relax
      \@whilenum\rt@nCnt>\z@\do{\global
        \rt@nameedef{rtTok\the\rt@nCnt#2}%
          {\noexpand\@nameuse{rtTok\the\rt@nCnt#1}}%
        \advance\rt@nCnt\m@ne}%
      \rt@performRanDefns{\@nameuse{nMax4#2}}\else
%    \end{macrocode}
%    Destination list is defined already, warn the user.
%    \begin{macrocode}
      \rt@warnTokName{#2}\fi
  \fi
\endgroup}
%    \end{macrocode}
%    \end{macro}
%\DescribeMacro{\rt@ssign}\hskip-\marginparsep\texttt{\darg{\ameta{name}}} makes the assignments that are expanded by \cs{useRanTok}.
% We \cs{let} the assignment \verb!\let\\=\rt@ssign! in \cs{rt@endToks}, just before we dump out the
% contents of \verb!\the\rt@listOut!.
%    \begin{macrocode}
\def\rt@ssign#1{\advance\rt@nCnt\@ne\global
  \rt@nameedef{rtRanTok\the\rt@nCnt\rt@BaseName}{\noexpand
  \@nameuse{rtTok#1\rt@BaseName}}}
%    \end{macrocode}
% \subsection{Additional user access commands}
% \DescribeMacro{\nToksFor}\hskip-\marginparsep\texttt{\darg{\ameta{name}}}
% expands the the number of tokens whose name is \ameta{name} (\texttt{\#1}).
%    \begin{macrocode}
\newcommand{\nToksFor}[1]{\expandafter
  \ifx\csname nMax4#1\endcsname\relax
    \textbf{??}\rt@badTokName{#1}\else
    \@nameuse{nMax4#1}\fi}
%    \end{macrocode}
% \DescribeMacro{\rtTokByNum}\hskip-\marginparsep\texttt{[\ameta{name}]\darg{\ameta{num}}} is an internal macro, but it can be used publicly.
% The argument of it is an integer, eg, \verb!\rtTokByNum{3}! is the third token, as listed in the order
% given in the argument of \cs{ranToks}.
%    \begin{macrocode}
\newcommand{\rtTokByNum}[2][\rt@BaseName]{\expandafter
  \ifx\csname nMax4#1\endcsname\relax
    \textbf{??}\rt@badTokName{#1}\else
    \@nameuse{rtTok#2#1}\expandafter\ignorespaces\fi}
%    \end{macrocode}
%\DescribeMacro{\useRanTok}\hskip-\marginparsep\texttt{[\ameta{name}]\darg{\ameta{num}}}
%   After \cs{ranToks} has been executed, the user has access to the
%   randomized tokens through \cs{useRanTok}. The argument \ameta{num} is an integer 1 through max.
%    \begin{macrocode}
\newcommand{\useRanTok}[2][\rt@BaseName]{\bgroup
  \expandafter\ifx\csname nMax4#1\endcsname\relax
    \rt@badTokName{#1}\else
    \ifnum#2>\nToksFor{#1}\rt@modarith{#2}{\nToksFor{#1}}%
%    \end{macrocode}
%    If index (\texttt{\#2}) is greater than array length, use modular arithmetic to resolve
%    the issue, and send a warning to the user.
%    \changes{v1.1}{2017/05/04}{Add modular arithmetic to resolve case where index is greater than length}
%    \begin{macrocode}
      \rt@badIndex{#2}{#1}\@nameuse{rtRanTok\rt@mod#1}\else
      \@nameuse{rtRanTok#2#1}\fi\fi\egroup}
%    \end{macrocode}
% \DescribeMacro{\displayListRandomly}\hskip-\marginparsep\texttt{[\ameta{prior}][\ameta{post}]\darg{\ameta{name}}}
% lists all items in the list as passed
% by the required argument. For expanding in a list environment, use \cs{item} as
% the optional argument. Designed for listing all question in an eqexam
% document in random order.
%\changes{v1.0b}{2013/07/29}{Added \string\cs{displayListRandomly}}
%\changes{v1.0e}{2016/02/06}{Added optional argument to \string\cs{displayListRandomly}}
%\changes{v1.1}{2017/05/04}{Added second optional argument to \string\cs{displayListRandomly}}
%    \begin{macrocode}
\newcommand{\displayListRandomly}[1][]{\bgroup\def\rt@prior{#1}%
  \displ@yListRandomly}
\newcommand{\displ@yListRandomly}[2][]{\rt@nCnt\z@
  \expandafter\ifx\csname nMax4#2\endcsname\relax
    \rt@rgi\space\textbf{??}\rt@badTokName{#2}#1%
  \else
%    \end{macrocode}
%   Within the optional arguments, we define \DescribeMacro{\i}\cs{i},
%   \DescribeMacro{\first}\cs{first}, \DescribeMacro{\last}\cs{last}, and
%   \DescribeMacro{\lessone}\cs{lessone} to do some logic on the arguments.
%   These four macro are defined locally and not available outside the command
%   \cs{displayListRandomly}.
%    \begin{macrocode}
    \def\rt@post{#1}\useRTName{#2}\let\i\rt@nCnt
    \def\first{1}\edef\last{\@nameuse{nMax4#2}}%
    \@tempcnta\last \advance\@tempcnta\m@ne
    \edef\lessone{\the\@tempcnta}%
    \@whilenum\rt@nCnt<\last\advance\rt@nCnt\@ne
    \do{\rt@prior\useRanTok{\the\rt@nCnt}\rt@post}%
  \fi
\egroup}
%    \end{macrocode}
%    \section{Commands that support a DB application}
%    We begin with some utility commands to help parse the argument of \cs{useProbDBs}.
%    \begin{macrocode}
\def\rt@gettonil#1\@nil{\def\to@nilarg{#1}}
\def\rt@ifspc{\ifx\@let@token\@sptoken
  \let\rt@next\rt@xifspc\else
  \let\rt@next\rt@gettonil\fi\rt@next}
\begingroup
\def\:{\rt@xifspc}
\expandafter\gdef\: {\futurelet\@let@token\rt@ifspc}
\endgroup
\def\rt@strpspcs{\futurelet\@let@token\rt@ifspc}
%    \end{macrocode}
%    \begin{macro}{\useTheseDBs}\hskip-\marginparsep\thinspace|{|\ameta{list}|}|
%    Inputs any files included in the comma-delimited list. The base names need only be listed,
%    as the extension is assumed to be \texttt{.tex}. The command \cs{useProbDBs} can only be used
%    in the preamble. Refer to the demo file \texttt{mc\_db.tex} for an illustration of its intended use.
%    \begin{macrocode}
\def\ProbDBWarningMsg#1{\filename@parse{#1}
  \PackageWarning{ran_toks}
  {The file \filename@area\filename@base.\ifx\filename@ext\relax
      tex\else\filename@ext\fi\space cannot be found}}
\def\useTheseDBs#1{\def\rt@dblist{#1}\ifx\rt@dblist\@empty\else
  \let\rt@DB@List\@empty
  \edef\temp@expand{\noexpand\@for\noexpand\@@tmp:=\rt@dblist}%
  \temp@expand\do{\ifx\@@tmp\@empty\else
    \expandafter\rt@strpspcs\@@tmp\@nil\edef\@@tmp{\to@nilarg}%
    \edef\rt@nextDB{\noexpand
      \InputIfFileExists{\@@tmp}{}{\noexpand
      \ProbDBWarningMsg{\@@tmp}}}%
    \toks\tw@=\expandafter{\rt@DB@List}%
    \toks@=\expandafter{\rt@nextDB}%
    \edef\rt@DB@List{\the\toks\tw@\space\the\toks@}\fi
  }\expandafter\rt@DB@List\fi}
\let\useProbDBs\useTheseDBs
%    \end{macrocode}
%    \end{macro}
%    \begin{macrocode}
%</package>
%    \end{macrocode}
%  \Finale
\endinput