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1 | % \begin{meta-comment} <general public licence> |
2 | %% |
3 | %% exercise package -- useful macros for setting exercises with answers |
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4 | %% Copyright (c) 2003 Mark Wooding |
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5 | %% |
6 | %% This program is free software; you can redistribute it and/or modify |
7 | %% it under the terms of the GNU General Public License as published by |
8 | %% the Free Software Foundation; either version 2 of the License, or |
9 | %% (at your option) any later version. |
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10 | %% |
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11 | %% This program is distributed in the hope that it will be useful, |
12 | %% but WITHOUT ANY WARRANTY; without even the implied warranty of |
13 | %% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
14 | %% GNU General Public License for more details. |
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15 | %% |
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16 | %% You should have received a copy of the GNU General Public License |
17 | %% along with this program; if not, write to the Free Software Foundation, |
18 | %% Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
19 | % \end{meta-comment} |
20 | % |
21 | % \begin{meta-comment} <Package preambles> |
22 | %<+package>\NeedsTeXFormat{LaTeX2e} |
23 | %<+package>\ProvidesPackage{exercise} |
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24 | %<+package> [2003/08/25 1.1 Exercies with answers] |
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25 | % \end{meta-comment} |
26 | % |
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27 | % \CheckSum{271} |
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28 | %% \CharacterTable |
29 | %% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z |
30 | %% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z |
31 | %% Digits \0\1\2\3\4\5\6\7\8\9 |
32 | %% Exclamation \! Double quote \" Hash (number) \# |
33 | %% Dollar \$ Percent \% Ampersand \& |
34 | %% Acute accent \' Left paren \( Right paren \) |
35 | %% Asterisk \* Plus \+ Comma \, |
36 | %% Minus \- Point \. Solidus \/ |
37 | %% Colon \: Semicolon \; Less than \< |
38 | %% Equals \= Greater than \> Question mark \? |
39 | %% Commercial at \@ Left bracket \[ Backslash \\ |
40 | %% Right bracket \] Circumflex \^ Underscore \_ |
41 | %% Grave accent \` Left brace \{ Vertical bar \| |
42 | %% Right brace \} Tilde \~} |
43 | %% |
44 | % |
45 | % \begin{meta-comment} |
46 | % |
47 | %<*driver> |
48 | \input{mdwtools} |
49 | \describespackage{exercise} |
50 | \let\epsilon\varepsilon |
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51 | \errorcontextlines\maxdimen |
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52 | \mdwdoc |
53 | %</driver> |
54 | % |
55 | % \end{meta-comment} |
56 | % |
57 | %^^A------------------------------------------------------------------------- |
58 | % \section{User guide} |
59 | % |
60 | % The \package{exercise} package allows you to typeset exercises and keep the |
61 | % answers together with the questions in your source (so they don't get |
62 | % lost) but typeset them all together at the end of your document. |
63 | % |
64 | % \subsection{Exercises and answers} |
65 | % |
66 | % \DescribeEnv{exercise} |
67 | % Exercises are typset in an \env{exercise} environment. This takes no |
68 | % arguments. There's a counter for exercises, named |exercise|, and you can |
69 | % cross-reference exercises in the usual way. |
70 | % |
71 | % \DescribeMacro\answer |
72 | % If you want to include an answer for your exercise, just say |\answer| |
73 | % followed by your answer. The rest of the text up to the end of the |
74 | % \env{exercise} environment is considered to be the answer, and is stored |
75 | % away until asked for. This material can contain anything you like. It |
76 | % \emph{isn't} a moving argument. |
77 | % |
78 | % \begin{figure} |
79 | %\begin{demo}[w]{The \env{exercise} environment} |
80 | %\begin{exercise} |
81 | %Show that if $F\colon \{0, 1\}^k \times \{0, 1\}^* \to \{0, 1\}^L$ |
82 | %is a $(t, q + 1, \epsilon)$-secure PRF, then $F$~is also a |
83 | %$(t, q, \epsilon + 2^{-L})$-secure MAC. |
84 | %\answer |
85 | %Let~$A$ be an adversary attacking~$F$ as a MAC. Consider the |
86 | %adversary~$B$ \ldots |
87 | %\end{exercise} |
88 | %\end{demo} |
89 | % \end{figure} |
90 | % |
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91 | % \DescribeMacro\skipanswer |
92 | % The |\skipanswer| command is similar, but just skips over the answer rather |
93 | % than writing it to the output file. It does nothing at all with counters |
94 | % -- it's as if there was no answer given at all. |
95 | % |
96 | % It's OK to use commands like |\answer| and |\skipanswer| in your own |
97 | % macros as long as they're the \emph{last} token. You can therefore say |
98 | % something like |
99 | %\begin{verbatim} |
100 | %\newcommand{\evenanswer}{% |
101 | % \ifthenelse% |
102 | % {\isodd{\value{exercise}}}% |
103 | % {\answer}% |
104 | % {\skipanswer}% |
105 | %} |
106 | %\end{verbatim} |
107 | % to get just the answers to the odd-numbered problems. (If you don't like |
108 | % \package{ifthen} then you'll need to play with |\expandafter| for a bit.) |
109 | % |
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110 | % \subsection{The answers file} |
111 | % |
112 | % \DescribeMacro\answrite |
113 | % Answers are accumulated into a file, to be read later. Additional material |
114 | % can be added to the file using the |\answrite| macro, which just writes its |
115 | % argument. Note that this is a \emph{moving} argument, so fragile commands |
116 | % need |\protect|ing. |
117 | % |
118 | % \DescribeMacro\exctrcheck |
119 | % It's common to divide up the answers by section. You can tell the package |
120 | % to check a collection of counters and perform actions if they've changed |
121 | % since last time, giving you a chance to write the correct decorations to |
122 | % the answers file. This is done by saying |
123 | % \syntax{"\\exctrcheck{"<counter>"}{"<action>"}"}. Then, each |\answer| |
124 | % command checks to see if \<counter> has changed since last time, and if it |
125 | % has, it does \<action>, For example, |
126 | %\begin{verbatim} |
127 | %\exctrcheck{section} |
128 | % {\answrite{\protect\subsection*{Section \thesection}}} |
129 | %\end{verbatim} |
130 | % starts a new (unnumbered) subsection in the answers for each section in the |
131 | % main document. |
132 | % |
133 | % \subsection{Style tweaks} |
134 | % |
135 | % The \env{exercise} environment is very simple, and can be easily rewritten |
136 | % to fit in with your style preferences. If you like exercises to look like |
137 | % theorems, the easiest thing to do is say something like |
138 | %\begin{verbatim} |
139 | %\newtheorem{doexercise}[exercise]{\exercisename} |
140 | %\renewenvironment{exercise}{\exfix\doexercise}{\enddoexercise} |
141 | %\end{verbatim} |
142 | % This makes the environment use the existing exercise counter. If you don't |
143 | % want that, say |
144 | %\begin{verbatim} |
145 | %\newtheorem{doexercise}[othercounter]{\exercisename} |
146 | %\renewenvironment{exercise}{\exfix\doexercise}{\enddoexercise} |
147 | %\let\theexercise\theothercounter |
148 | %\end{verbatim} |
149 | % and all will be well. |
150 | % |
151 | % \DescribeEnv{doanswer} |
152 | % Answers are typeset in a \env{doanswer} environment, which is given one |
153 | % argument: the exercise number (as set by |\theexercise|). This can be |
154 | % modified to do whatever you like. |
155 | % |
156 | % \DescribeMacro\exfix |
157 | % The |\exfix| is a convenient hook which is run both in the \env{exercise} |
158 | % and \env{doanswer} environments by default. The current implementation |
159 | % just skips a level of \env{enumerate} depth, which usually means that |
160 | % \env{enumerate} lists will go (a), (b), (c), \ldots\ rather than 1, 2, 3, |
161 | % \ldots |
162 | % |
163 | % \subsection{Lists in paragraphs} |
164 | % |
165 | % \DescribeEnv{parenum} |
166 | % Answers to subparts tend to be compressed together into a single |
167 | % paragraph. It's nice, when you do this, not to have to worry about losing |
168 | % your numbering of subparts. The \env{parenum} environment provides an |
169 | % enumerated list in a paragraph. So, for example, you can say something |
170 | % like this. |
171 | %\begin{demo}[w]{Example of \env{parenum}} |
172 | %\begin{exercise} |
173 | %A PRG $g\colon \{0, 1\}^k \to \{0, 1\}^L$ is \emph{trivial} if |
174 | %$k \ge L$. |
175 | %\begin{enumerate} |
176 | %\item Show that trivial PRGs exist. |
177 | %\item Show that a non-trivial $(t, \epsilon)$-secure PRG is a |
178 | % $(t, \epsilon + 2^{k-L})$-secure one-way function. |
179 | %\end{enumerate} |
180 | %\answer |
181 | %\begin{parenum} |
182 | %\item The identity function is a trivial PRG: the real and random |
183 | % games are identically distributed. |
184 | %\item Let~$A$ be an adversary attempting to invert~$g$: then we |
185 | % can construct a distinguisher~$B$ as follows \ldots |
186 | %\end{parenum} |
187 | %\end{exercise} |
188 | %\end{demo} |
189 | % |
190 | % \subsection{And finally} |
191 | % |
192 | % \DescribeMacro\answers |
193 | % In order to extract your answers, say |\answers|. |
194 | %\begin{demo}[w]{The \texttt{\string\answers} command} |
195 | %\section*{Answers} |
196 | %\answers |
197 | %\end{demo} |
198 | % |
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199 | % The |\answers| command has an optional argument, which is the file to read |
200 | % in. This allows you to make `answer booklet' documents, by saying |
201 | % something like |
202 | %\begin{verbatim} |
203 | %\answers[otherdoc] |
204 | %\end{verbatim} |
205 | % If you don't give a file extension, then |.ans| is appended automatically. |
206 | % |
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207 | % \implementation |
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208 | % |
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209 | % |
210 | %^^A------------------------------------------------------------------------- |
211 | % \section{Implementation} |
212 | % |
213 | % \begin{macrocode} |
214 | %<*package> |
215 | % \end{macrocode} |
216 | % |
217 | % \subsection{Initialization} |
218 | % |
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219 | % The \textsf{within} option is handled by the \package{mdwkey} package. |
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220 | % |
221 | % \begin{macrocode} |
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222 | \RequirePackage{mdwkey} |
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223 | % \end{macrocode} |
224 | % |
225 | % \begin{macro}{\ex@within} |
226 | % |
227 | % When the \textsf{within} option is seen, we set a command |\ex@within| to |
228 | % the correct code, to be executed later when we've made our minds up. |
229 | % |
230 | % \begin{macrocode} |
231 | \let\ex@within\relax |
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232 | \mkdef{exercise:opts}{within}{% |
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233 | \def\ex@within{% |
234 | \@addtoreset{exercise}{#1}% |
235 | \toks@\expandafter{\csname the#1\expandafter\endcsname% |
236 | \expandafter.\theexercise}% |
237 | \edef\theexercise{\the\toks@}% |
238 | }% |
239 | } |
240 | % \end{macrocode} |
241 | % \end{macro} |
242 | % |
243 | % \begin{macro}{\ex@opts} |
244 | % |
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245 | % The |\ex@opts| macro just runs the \package{mdwkey} kit to parse an option |
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246 | % string. |
247 | % |
248 | % \begin{macrocode} |
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249 | \def\ex@opts{\mkparse{exercise:opts}} |
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250 | % \end{macrocode} |
251 | % \end{macro} |
252 | % |
253 | % Now do the options thing. |
254 | % |
255 | % \begin{macrocode} |
256 | \DeclareOption*{\expandafter\ex@opts\expandafter{\CurrentOption}} |
257 | \ProcessOptions* |
258 | % \end{macrocode} |
259 | % |
260 | % Set up the |exercise| counter, and number it within some other sort of |
261 | % counter as appropriate. |
262 | % |
263 | % \begin{macrocode} |
264 | \newcounter{exercise}\ex@within |
265 | % \end{macrocode} |
266 | % |
267 | % We also need the \package{sverb} package in order to do the delaying of the |
268 | % answers. |
269 | % |
270 | % \begin{macrocode} |
271 | \RequirePackage{sverb} |
272 | % \end{macrocode} |
273 | % |
274 | % \subsection{Checking for counter changes} |
275 | % |
276 | % \begin{macro}{\ex@ctrcheck} |
277 | % |
278 | % The counter checking state is stored here. It's initially empty. |
279 | % |
280 | % \begin{macrocode} |
281 | \def\ex@ctrcheck{} |
282 | % \end{macrocode} |
283 | % \end{macro} |
284 | % |
285 | % \begin{macro}{\exctrcheck} |
286 | % |
287 | % Adding a counter to the check list is relatively easy. We expand the |
288 | % current list into a token register, add the new material to the end, and |
289 | % put the list back in our macro using |\edef|. The `last' value of the |
290 | % counter is set to |\relax|, to force out the change on the next |\answer|. |
291 | % |
292 | % \begin{macrocode} |
293 | \def\exctrcheck#1#2{% |
294 | \toks@\expandafter{\ex@ctrcheck\ex@ctrdo{#1}{#2}}% |
295 | \edef\ex@ctrcheck{\the\toks@}% |
296 | \global\expandafter\let\csname ex@ctrlast@#1\endcsname\relax% |
297 | } |
298 | % \end{macrocode} |
299 | % \end{macro} |
300 | % |
301 | % \begin{macro}{\ex@ctrdo} |
302 | % |
303 | % Here we actually check to see whether a counter has changed and execute the |
304 | % appropriate code. |
305 | % |
306 | % \begin{macrocode} |
307 | \def\ex@ctrdo#1#2{% |
308 | \edef\@tempa{\csname the#1\endcsname}% |
309 | \expandafter\ifx\csname ex@ctrlast@#1\endcsname\@tempa\else% |
310 | #2% |
311 | \global\expandafter\let\csname ex@ctrlast@#1\endcsname\@tempa% |
312 | \fi% |
313 | } |
314 | % \end{macrocode} |
315 | % \end{macro} |
316 | % |
317 | % \subsection{The \env{exercise} environment} |
318 | % |
319 | % \begin{macro}{\exercisename} |
320 | % |
321 | % We store the string to print for each exercise in |\exercisename| as a |
322 | % half-hearted attempt at internationalization. |
323 | % |
324 | % \begin{macrocode} |
325 | \providecommand\exercisename{Exercise} |
326 | % \end{macrocode} |
327 | % \end{macro} |
328 | % |
329 | % \begin{macro}{\exfix} |
330 | % |
331 | % This is a dumping ground for style fixing common to both exercises and |
332 | % answers. Here, we bump on the \env{enum} depth counter, so that it skips |
333 | % labelling with digits. |
334 | % |
335 | % \begin{macrocode} |
336 | \def\exfix{\advance\@enumdepth\@ne} |
337 | % \end{macrocode} |
338 | % \end{macro} |
339 | % |
340 | % \begin{environment}{exercise} |
341 | % |
342 | % This is pretty simple. The environment is list-based, with the number set |
343 | % in bold in a label. |
344 | % |
345 | % \begin{macrocode} |
346 | \def\exercise{% |
347 | \refstepcounter{exercise}% |
348 | \exfix% |
349 | \trivlist\advance\itemindent\labelsep% |
350 | \item[\textbf{\exercisename\ \theexercise}]% |
351 | } |
352 | \let\endexercise\endtrivlist |
353 | % \end{macrocode} |
354 | % \end{environment} |
355 | % |
356 | % \subsection{Answers} |
357 | % |
358 | % We need a file in which to store our answers. |
359 | % |
360 | % \begin{macrocode} |
361 | \newwrite\ex@ansfile |
362 | % \end{macrocode} |
363 | % |
364 | % \begin{macro}{\ex@ansfilename} |
365 | % |
366 | % In case anyone has a better idea for a filename than our default, we |
367 | % provide a hook. |
368 | % |
369 | % \begin{macrocode} |
370 | \def\ex@ansfilename{\jobname.ans} |
371 | % \end{macrocode} |
372 | % \end{macro} |
373 | % |
374 | % We open the file at the end of the preamble, to give the user a chance to |
375 | % say |\nofiles|, or change |\ex@ansfilename|. |
376 | % |
377 | % \begin{macrocode} |
378 | \AtBeginDocument{% |
379 | \if@filesw% |
380 | \immediate\openout\ex@ansfile=\ex@ansfilename\relax% |
381 | \answrite\relax% |
382 | \fi% |
383 | } |
384 | % \end{macrocode} |
385 | % |
386 | % \begin{macro}{\answrite} |
387 | % |
388 | % This writes stuff to the answers file. We make sure that it's |
389 | % appropriately protected, so that you can insert section headings and so on. |
390 | % |
391 | % \begin{macrocode} |
392 | \def\answrite#1{% |
393 | \if@filesw% |
394 | \begingroup% |
395 | \let\protect\@unexpandable@protect% |
396 | \immediate\write\ex@ansfile{#1}% |
397 | \endgroup% |
398 | \fi% |
399 | } |
400 | % \end{macrocode} |
401 | % \end{macro} |
402 | % |
403 | % \begin{macro}{\answer} |
404 | % |
405 | % The |\answer| macro needs to read until the end of the enclosing |
406 | % \env{exercise} environment (or whatever). |
407 | % |
408 | % \begin{macrocode} |
409 | \def\answer{\sv@readenv\ex@answer} |
410 | % \end{macrocode} |
411 | % |
412 | % Now for the main guts. |
413 | % |
414 | % \begin{macrocode} |
415 | \def\ex@answer#1#2{% |
416 | \begingroup% |
417 | \@bsphack% |
418 | % \end{macrocode} |
419 | % |
420 | % First of all, check to see whether any counters have changed. |
421 | % |
422 | % \begin{macrocode} |
423 | \ex@ctrcheck% |
424 | % \end{macrocode} |
425 | % |
426 | % Start a \env{doanswer} environment in the file. |
427 | % |
428 | % \begin{macrocode} |
429 | \answrite{\noexpand\begin{doanswer}{\theexercise}}% |
430 | % \end{macrocode} |
431 | % |
432 | % Set catcodes to be strange, and read lines one-at-a-time, writing them to |
433 | % the file. When finished, continue at |\ex@endanswer|. |
434 | % |
435 | % \begin{macrocode} |
436 | \let\do\@makeother\dospecials% |
437 | \sv@safespc% |
438 | \sv@read{#1}\answrite{\ex@endanswer#2}% |
439 | } |
440 | % \end{macrocode} |
441 | % |
442 | % When that's done, we wind up here. |
443 | % |
444 | % \begin{macrocode} |
445 | \def\ex@endanswer{% |
446 | \@esphack% |
447 | \answrite{\noexpand\end{doanswer}}% |
448 | \endgroup% |
449 | } |
450 | % \end{macrocode} |
451 | % \end{macro} |
452 | % |
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453 | % \begin{macro}{\skipanswer} |
454 | % |
455 | % This is much simpler. |
456 | % |
457 | % \begin{macrocode} |
458 | \let\skipanswer\ignore |
459 | % \end{macrocode} |
460 | % \end{macro} |
461 | % |
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462 | % \begin{macro}{\answers} |
463 | % |
464 | % The |\answers| macro closes the file, makes sure that future |
465 | % \env{exercise}s with answers cause an error, and reads in the file. |
466 | % |
467 | % \begin{macrocode} |
468 | \def\answers{% |
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469 | \@ifnextchar[{\answers@i\input}{\answers@i\@input[\ex@ansfilename]}% |
470 | } |
471 | \def\answers@i#1[#2]{% |
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472 | \immediate\closeout\ex@ansfile% |
473 | \global\let\answrite\exerr@toolate% |
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474 | \ex@withext{#1}{#2}{ans}% |
475 | } |
476 | \def\q@delim{\q@delim} |
477 | \def\ex@withext#1#2#3{% |
478 | \edef\next@##1{\noexpand\ex@ext@i{##1}{#2}{#3}#2.\noexpand\q@delim}% |
479 | \next@{#1}% |
480 | } |
481 | \def\ex@ext@i#1#2#3#4.#5\q@delim{% |
482 | \ifx\q@delim#5\q@delim\def\next@{#1{#2.#3}}% |
483 | \else\def\next@{#1{#2}}\fi% |
484 | \next@% |
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485 | } |
486 | % \end{macrocode} |
487 | % \end{macro} |
488 | % |
489 | % \begin{environment}{doanswer} |
490 | % |
491 | % A very simple environment. We set the exercise number in bold and then |
492 | % just write the text. |
493 | % |
494 | % \begin{macrocode} |
495 | \def\doanswer#1{% |
496 | \exfix% |
497 | \trivlist\advance\itemindent\labelsep% |
498 | \item[\textbf{#1}]% |
499 | } |
500 | \let\enddoanswer\endtrivlist |
501 | % \end{macrocode} |
502 | % \end{environment} |
503 | % |
504 | % \subsection{Lists inside paragraphs} |
505 | % |
506 | % \begin{environment}{parlist} |
507 | % |
508 | % The \env{parlist} environment is a trimmed-down version of a normal list. |
509 | % We todge the |\item| command, make |\list| and |\trivlist| make errors, and |
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510 | % do various normal list things. |
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511 | % |
512 | % \begin{macrocode} |
513 | \def\parlist#1#2{% |
514 | \let\@trivlist\exerr@parlist% |
515 | \def\@itemlabel{#1}% |
516 | \let\makelabel\relax% |
517 | \@nmbrlistfalse% |
518 | #2% |
519 | \let\item\pl@item% |
520 | \ignorespaces% |
521 | } |
522 | % \end{macrocode} |
523 | % \end{environment} |
524 | % |
525 | % \begin{macro}{\pl@item} |
526 | % |
527 | % This is the implementation of |\item| within a \env{parlist}. The main |
528 | % interesting point is the game with boxes, which has the objective of |
529 | % extracting the text of the item, together with any style changes set by |
530 | % |\makelabel|, but without any stupid bits of glue, or |\llap| or anything |
531 | % like that. |
532 | % |
533 | % \begin{macrocode} |
534 | \def\pl@item{\@ifnextchar[\pl@item@i{\pl@item@i[\@itemlabel]}} |
535 | \def\pl@item@i[#1]{% |
536 | \if@nmbrlist\refstepcounter{\@listctr}\fi% |
537 | \setbox\z@\hbox{\makelabel{\global\setbox\@ne\hbox{#1}}}% |
538 | \ifvmode\leavevmode\else\unskip\hskip1em\fi\box\@ne~\ignorespaces% |
539 | } |
540 | % \end{macrocode} |
541 | % \end{macro} |
542 | % |
543 | % \begin{macro}{\useparlist} |
544 | % |
545 | % We just set the \env{list} environment to use \env{parlist}. |
546 | % |
547 | % \begin{macrocode} |
548 | \def\useparlist{\let\list\parlist\let\endlist\relax} |
549 | % \end{macrocode} |
550 | % \end{macro} |
551 | % |
552 | % \begin{environment}{parenum} |
553 | % |
554 | % Very simple, this. Note that we don't run |\endenumerate|, because that's |
555 | % |\let| to |\endlist|. |
556 | % |
557 | % \begin{macrocode} |
558 | \def\parenum{\useparlist\enumerate} |
559 | \let\endparenum\endparlist |
560 | % \end{macrocode} |
561 | % \end{environment} |
562 | % |
563 | % \subsection{Errors} |
564 | % |
565 | % \begin{macrocode} |
566 | \def\exerr@toolate{% |
567 | \PackageError{exercise}{Too late now for \string\answrite}{% |
568 | You can't write answers after you've read the file in. I've^^J% |
569 | ignored the text you attempted to write. This is why answers^^J% |
570 | go at the end of a book!% |
571 | }% |
572 | } |
573 | \def\exerr@parlist{% |
574 | \PackageError{exercise}{You can't nest a `list' inside a `parlist'.}{% |
575 | I've found a `list' or `trivlist' environment nested inside^^J% |
db127fce |
576 | a `parlist'. This isn't allowed. You're probably doomed now.% |
86f6a31e |
577 | }% |
578 | } |
579 | %</package> |
580 | % \end{macrocode} |
581 | % |
582 | % Done. |
583 | % |
584 | % \hfill Mark Wooding, \today |
585 | % |
586 | % \Finale |
587 | % |
588 | \endinput |