diff options
| author | Karl Berry <karl@freefriends.org> | 2008-09-08 00:42:04 +0000 |
|---|---|---|
| committer | Karl Berry <karl@freefriends.org> | 2008-09-08 00:42:04 +0000 |
| commit | 036469499e69e21110bdbbd77af3e90de86a382a (patch) | |
| tree | 34d517f0b3490d8eed24f45e7bd1ce7ab63ab825 | |
| parent | 2f2e79372e149e87d92bdd0d33d596793e6b1252 (diff) | |
probsoln 3.0 (27aug08)
git-svn-id: svn://tug.org/texlive/trunk@10474 c570f23f-e606-0410-a88d-b1316a301751
25 files changed, 4586 insertions, 1376 deletions
diff --git a/Master/texmf-dist/doc/latex/probsoln/CHANGES b/Master/texmf-dist/doc/latex/probsoln/CHANGES index 764317dda61..d360323d06f 100644 --- a/Master/texmf-dist/doc/latex/probsoln/CHANGES +++ b/Master/texmf-dist/doc/latex/probsoln/CHANGES @@ -1,5 +1,9 @@ probsoln package versions: +Version 3.0: Rewrote package to use data sets to make it easy +to reuse problems so that the solutions can be placed in +a different section of the document to the questions. + Version 2.04: fixed license text Version 2.03: Added starred form of \newproblem for problems without diff --git a/Master/texmf-dist/doc/latex/probsoln/README b/Master/texmf-dist/doc/latex/probsoln/README index 2edd170d254..a6da627ffdd 100644 --- a/Master/texmf-dist/doc/latex/probsoln/README +++ b/Master/texmf-dist/doc/latex/probsoln/README @@ -1,6 +1,6 @@ -LaTeX Package : probsoln v 2.04 +LaTeX Package : probsoln v 3.0 -Last Modified : 21 Aug 2007 +Last Modified : 26 Aug 2008 Author : Nicola L.C. Talbot diff --git a/Master/texmf-dist/doc/latex/probsoln/probsoln-manual.html b/Master/texmf-dist/doc/latex/probsoln/probsoln-manual.html index 0e24ce57ccd..74e787ec6b0 100644 --- a/Master/texmf-dist/doc/latex/probsoln/probsoln-manual.html +++ b/Master/texmf-dist/doc/latex/probsoln/probsoln-manual.html @@ -7,9 +7,9 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> <HTML> <HEAD> -<TITLE>probsoln.sty v2.04: LATEX2e Package to help create problem sheets</TITLE> -<META NAME="description" CONTENT="probsoln.sty v2.04: LATEX2e Package to help create problem sheets"> -<META NAME="keywords" CONTENT="manual"> +<TITLE>probsoln v3.0: creating problem sheets optionally with solutions</TITLE> +<META NAME="description" CONTENT="probsoln v3.0: creating problem sheets optionally with solutions"> +<META NAME="keywords" CONTENT="probsoln-manual"> <META NAME="resource-type" CONTENT="document"> <META NAME="distribution" CONTENT="global"> @@ -21,11 +21,27 @@ original version by: Nikos Drakos, CBLU, University of Leeds </HEAD> <BODY > +<A NAME="top"></A> - <H1 ALIGN="CENTER">probsoln.sty v2.04: L<SUP><SMALL>A</SMALL></SUP>T<SMALL>E</SMALL>X2<SUB>e</SUB> Package to help create problem sheets</H1> -<P ALIGN="CENTER"><STRONG>Nicola L.C. Talbot</STRONG></P> -<P ALIGN="CENTER"><STRONG>21st August 2007</STRONG></P> - <BR> +<P> + +<P> + + <H1 ALIGN="CENTER">probsoln v3.0: creating problem sheets optionally with solutions</H1> +<P ALIGN="CENTER"><STRONG>Nicola L.C. Talbot +<BR> +<BR> +School of Computing Sciences +<BR> +University of East Anglia +<BR> +Norwich. Norfolk +<BR> +NR4 7TJ. United Kingdom. +<BR><TT><A NAME="tex2html1" + HREF="http://theoval.cmp.uea.ac.uk/~nlct/">http://theoval.cmp.uea.ac.uk/~nlct/</A></TT></STRONG></P> +<P ALIGN="CENTER"><STRONG>26th August 2008</STRONG></P> +<BR> <H2><A NAME="SECTION00010000000000000000"> Contents</A> @@ -33,41 +49,34 @@ Contents</A> <!--Table of Contents--> <UL> +<LI><A NAME="tex2html16" + HREF="probsoln-manual.html#SECTION00020000000000000000">1 Introduction</A> +<LI><A NAME="tex2html17" + HREF="probsoln-manual.html#SECTION00030000000000000000">2 Package Options</A> <LI><A NAME="tex2html18" - HREF="#SECTION00020000000000000000">Introduction</A> + HREF="probsoln-manual.html#SECTION00040000000000000000">3 Showing and Hiding Solutions</A> <LI><A NAME="tex2html19" - HREF="#SECTION00030000000000000000">Package Options</A> + HREF="probsoln-manual.html#SECTION00050000000000000000">4 General Formatting Commands</A> <LI><A NAME="tex2html20" - HREF="#SECTION00040000000000000000">Creating a New Problem</A> + HREF="probsoln-manual.html#SECTION00060000000000000000">5 Defining a Problem</A> <LI><A NAME="tex2html21" - HREF="#SECTION00050000000000000000">Creating a Database</A> + HREF="probsoln-manual.html#SECTION00070000000000000000">6 Using a Problem</A> <LI><A NAME="tex2html22" - HREF="#SECTION00060000000000000000">Displaying a Problem</A> + HREF="probsoln-manual.html#SECTION00080000000000000000">7 Loading Problems From External Files</A> <LI><A NAME="tex2html23" - HREF="#SECTION00070000000000000000">Selecting All Problems</A> + HREF="probsoln-manual.html#SECTION00090000000000000000">8 Iterating Through Datasets</A> <LI><A NAME="tex2html24" - HREF="#SECTION00080000000000000000">Selecting Problems at Random</A> + HREF="probsoln-manual.html#SECTION000100000000000000000">9 Random Number Generator</A> <LI><A NAME="tex2html25" - HREF="#SECTION00090000000000000000">Other Commands</A> + HREF="probsoln-manual.html#SECTION000110000000000000000">10 Compatibility With Versions Prior to 3.0</A> <LI><A NAME="tex2html26" - HREF="#SECTION000100000000000000000">Troubleshooting</A> -<UL> -<LI><A NAME="tex2html27" - HREF="#SECTION000101000000000000000">Unexpected Output</A> -<LI><A NAME="tex2html28" - HREF="#SECTION000102000000000000000">Error Messages</A> -</UL> -<BR> -<LI><A NAME="tex2html29" - HREF="#SECTION000110000000000000000">Contact Details</A> -<LI><A NAME="tex2html30" - HREF="#SECTION000120000000000000000">Index</A> + HREF="probsoln-manual.html#SECTION000120000000000000000">Index</A> </UL> <!--End of Table of Contents--> <P> <H1><A NAME="SECTION00020000000000000000"> -Introduction</A> +1 Introduction</A> </H1> The <TT>probsoln</TT> package is designed for teachers or lecturers who want to create problem sheets for their @@ -75,7 +84,7 @@ students. This package was designed with specifically mathematics problems in mind, but can be used for other subjects as well. The idea is to create a file containing a large number of problems with their solutions which can be -read in by L<SUP><SMALL>A</SMALL></SUP>T<SMALL>E</SMALL>X, and then select a number of problems to +read in by LaTeX, and then select a number of problems to typeset. This means that once the database has been set up, each year you can easily create a new problem sheet that is sufficiently different from the previous year, thus @@ -87,666 +96,898 @@ printed. In this way, one file can either produce the student's version or the teacher's version. <P> +<A HREF="probsoln-manual.html#top">Top</A> + +<P> -<H1><A NAME="SECTION00030000000000000000"> -Package Options</A> +<H1><A NAME="SECTION00030000000000000000"></A><A NAME="sec:pkgopt"></A> +<BR> +2 Package Options </H1> The following options may be passed to this package: -<DIV ALIGN="CENTER"> -<TABLE CELLPADDING=3> -<TR><TD ALIGN="LEFT"><TT></TD><TD ALIGN="LEFT">answers </TT></TD> -<TD ALIGN="LEFT">Show the answers</TD> -</TR> -<TR><TD ALIGN="LEFT"><TT></TD><TD ALIGN="LEFT">noanswers </TT></TD> -<TD ALIGN="LEFT">Don't show the answers (default)</TD> -</TR> -</TABLE> -</DIV> +<DL> +<DT><STRONG><TT>answers</TT><A NAME="673"></A></STRONG></DT> +<DD>Show the answers +</DD> +<DT><STRONG><TT>noanswers</TT><A NAME="676"></A></STRONG></DT> +<DD>Don't show the answers (default) +</DD> +<DT><STRONG><TT>draft</TT><A NAME="679"></A></STRONG></DT> +<DD>Display the label and dataset name when a problem is used +</DD> +<DT><STRONG><TT>final</TT><A NAME="682"></A></STRONG></DT> +<DD>Don't display label and dataset name when a problem is used +</DD> +</DL> <P> +<A HREF="probsoln-manual.html#top">Top</A> -<H1><A NAME="SECTION00040000000000000000"> -Creating a New Problem</A> -</H1> +<P> -<A NAME="newproblem"></A><TT>newproblem</TT><A NAME="386"></A><code>[</code><I>nargs</I><code>]{</code><I>label</I><code>}{</code><I>problem</I><code>}{</code><I>solution</I><code>}</code> -<BR> -<BR> -A new problem is defined using the command -<TT>\newproblem</TT><A NAME="389"></A>. This does not print anything, -but merely stores the problem. As from version 2.03, there is also -a starred version of this command for problems without a solution -(for example, essay style questions): +<H1><A NAME="SECTION00040000000000000000"></A><A NAME="sec:showanswers"></A> <BR> -<BR> -<A NAME="newproblem_"></A><TT>newproblem*</TT><A NAME="393"></A><code>[</code><I>nargs</I><code>]{</code><I>label</I><code>}{</code><I>problem</I><code>}</code> -<BR> -<BR> -The argument <I>label</I> is -a unique string that is assigned to this problem so that it -can be used later. The argument <I>problem</I> is normal -L<SUP><SMALL>A</SMALL></SUP>T<SMALL>E</SMALL>X code that should be used to typeset the problem. -The argument <I>solution</I> is normal L<SUP><SMALL>A</SMALL></SUP>T<SMALL>E</SMALL>X code that -should be used to typeset the solution, if required. For -example, the following defines a problem with the label -<A NAME="quaddiff"></A><TT>quaddiff</TT>: +3 Showing and Hiding Solutions +</H1> + +<P> +In addition to the <TT>answers</TT><A NAME="688"></A> and <TT>noanswers</TT><A NAME="691"></A> package +options, it is also possible to show or suppress the solutions +using <TT>\showanswers</TT> and +<TT>\hideanswers</TT>, respectively. +The boolean variable <TT>showanswers</TT><A NAME="694"></A> determines whether the +answers should be displayed. You can use this value with the +<TT>ifthen</TT><A NAME="697"></A> package to specify different text depending on +whether the solutions should be displayed. For example: <PRE> - \newproblem{quaddiff}{% - %This is the problem - \begin{displaymath} - f(x) = x^2 + 3x + 4 - \end{displaymath} - }{% - %This is the solution - \begin{displaymath} - f'(x) = 2x + 3 - \end{displaymath} - } +Assignment 1\ifthenelse{\boolean{showanswers}}{ (Solution Sheet)}{} </PRE> -The following is an essay question, so doesn't come with a solution: +Alternatively you can use <TT>\ifshowanswers</TT><A NAME="700"></A>...<TT>\else</TT>... +<TT>\fi</TT>: <PRE> -\newproblem*{inheritance}{Describe what is meant by the term -\emph{inheritance} in object-oriented programming. Use examples.} +Assignment 1\ifshowanswers\space (Solution Sheet)\fi </PRE> <P> -The optional argument <I>nargs</I> specifies the number of -parameters this problem will take. By default this value is -0, but any value from 1 to 9 may be used. Each parameter is -referred to by <code>#1</code>, <code>#2</code>, ..., <code>#9</code>. -For example, the following problem, labelled <A NAME="sindiff"></A><TT>sindiff</TT>, -takes one parameter: +For longer passages, you can use the environments <A NAME="1547"></A><TT>onlyproblem</TT> +and <A NAME="1551"></A><TT>onlysolution</TT>. For example: <PRE> -\newproblem[1]{sindiff}{% -\(f(x) = \sin(#1x)\) -}{% -\(f'(x) = #1\cos(#1x)\) -} +\begin{onlyproblem}% +What is the derivative of $f(x) = x^2$? +\end{onlyproblem}% +\begin{onlysolution}% +$f'(x) = 2x$ +\end{onlysolution} </PRE> - -<P> -The <A HREF="#quaddiff"><TT>quaddiff</TT></A> problem shown above can be made more -generic by using parameters<A NAME="diff:quad"></A>: +The above will only display the question if <TT>showanswers</TT><A NAME="705"></A> +is false and will only display the solution if <TT>showanswers</TT><A NAME="708"></A> +is true. If you want the question to appear in the answer +sheet as well as the solution, then don't put the question in +the <TT>onlyproblem</TT> environment: <PRE> -\newcount\ctr -\newproblem[3]{diff:quad}{% -\(f(x) = -\ifnum#1=0 -\else -\ifnum#1=1\else#1\fi x^2 -\fi -\ifnum#2=0 -\else -\ifnum#2>0 \ifnum#1=0 \else + \fi \fi -\ifnum#2=1\else#2\fi x -\fi -\ifnum#3=0 -\else -\ifnum#3>0 \ifnum#2=0 \ifnum#1=0 \else + \fi \else + \fi\fi -#3 -\fi\) -}{% -\(f'(x) = -\ifnum#1=0 -\else -\ctr=2 -\multiply\ctr by #1 -\the\ctr x -\fi -\ifnum#2=0 -\else -\ifnum#2>0 \ifnum#1=0 \else + \fi \fi -#2 -\fi - % print 0 if both #1 and #2 are 0 -\ifnum#1=0 \ifnum#2=0 0 \fi\fi -\) -} +What is the derivative of $f(x) = x^2$? +\begin{onlysolution}% +Solution: $f'(x) = 2x$ +\end{onlysolution} </PRE> -The three parameters correspond to the coefficients. Note -that they must all be integers since T<SMALL>E</SMALL>X only performs -integer arithmetic. +<B>NOTE:</B> You can't use verbatim text in the body of the +<TT>onlyproblem</TT><A NAME="712"></A> or <TT>onlysolution</TT><A NAME="715"></A> environments. +If you need verbatim-like text, then try packages such as +<TT>alltt</TT><A NAME="718"></A>. Remember that you also can't use verbatim +text in command arguments. <P> +<A HREF="probsoln-manual.html#top">Top</A> -<H1><A NAME="SECTION00050000000000000000"> -Creating a Database</A> +<P> + +<H1><A NAME="SECTION00050000000000000000"></A><A NAME="sec:formatting"></A> +<BR> +4 General Formatting Commands </H1> <P> -To generate a database, simply create a <TT>.tex</TT> file -where all the problems are defined using <A HREF="#newproblem"><TT>newproblem</TT><A NAME="407"></A></A> or -<A HREF="#newproblem_"><TT>newproblem*</TT><A NAME="412"></A></A>, -and either <TT>\input</TT><A NAME="415"></A> it at the start of your document if -you want to use <A HREF="#sec:useprob">specific problems</A>, or pass it to -<A HREF="#sec:selran"><TT>\selectrandomly</TT><A NAME="421"></A></A>. This package -comes with some sample databases, along with some sample documents -that use these databases. +The commands and environments described in this section are +provided to assist formatting problems and their solutions. +<A NAME="1556"></A> +<BR CLEAR="ALL"> +<HR><code>\begin{solution}</code><I>text</I><code>\end{solution}</code> +<BR CLEAR="ALL"> +<HR>This is equivalent to +<code>\par\noindent\textbf{\solutionname}:</code><I>text</I> +where <TT>\solutionname</TT> defaults +to "Solution". Note that you must place the <TT>solution</TT> +environment inside the <TT>onlysolution</TT><A NAME="725"></A> environment or +between <TT>\ifshowanswers</TT><A NAME="728"></A>...<TT>\fi</TT> to ensure that it +is suppressed when the solutions are not wanted. (See +<A HREF="probsoln-manual.html#sec:showanswers">Showing and +Hiding Solutions</A>.) + +<P> +Note that the <TT>probsoln</TT> package will only define the +<TT>solution</TT> environment if it is not already defined. + +<P> +<A NAME="1560"></A> +<BR CLEAR="ALL"> +<HR><code>\begin{textenum}</code>...<code>\end{textenum}</code> +<BR CLEAR="ALL"> +<HR>The <TT>textenum</TT> environment is like the <TT>enumerate</TT><A NAME="734"></A> +environment but is in-line. It uses the same counter that the +<TT>enumerate</TT> environment would use at that level so the +question can be compact but the answer can use <TT>enumerate</TT> +instead. For example: +<PRE> +\begin{onlyproblem}% +Differentiate the following: +\begin{textenum} +\item $f(x)=2^x$; +\item $f(x)=\cot(x)$ +\end{textenum} +\end{onlyproblem} +\begin{onlysolution} +\begin{enumerate} +\item +\begin{align*} +f(x) &= 2^x = \exp(\ln(x^2)) =\exp(2\ln(x))\\ +f'(x) &= \exp(2\ln(x))\times \frac{2}{x}\\ + &= f(x)\frac{2}{x} +\end{align*} +\item +\begin{align*} +f(x) &= \cot(x) = (\tan(x))^{-2}\\ +f'(x) &= -(\tan(x))^{-2}\times\sec^2(x)\\ +&=-\csc^2x +\end{align*} +\end{enumerate} +\end{onlysolution} +</PRE> +In this example, the items in the question are brief, so an +<TT>enumerate</TT><A NAME="739"></A> environment would result in a lot of +unnecessary white space, +but the answers require more space, so an <TT>enumerate</TT> +environment is more appropriate. Since the <TT>textenum</TT><A NAME="743"></A> +environment uses the same counters as the <TT>enumerate</TT> +environment, the question and answer sheets use consistent +labelling. Note that there are other packages available on +CTAN that you can use to create in-line lists. Check the +<A NAME="tex2html2" + HREF="http://www.tex.ac.uk/tex-archive/help/Catalogue/bytopic.html#enumeration">TeX +Catalogue</A> for +further details. + +<P> + +<BR CLEAR="ALL"> +<HR><TT>\correctitem</TT><A NAME="747"></A> +<BR><TT>\incorrectitem</TT><A NAME="750"></A> +<BR CLEAR="ALL"> +<HR>You can use the commands <TT>\correctitem</TT> and <TT>\incorrectitem</TT> +in place of <TT>\item</TT><A NAME="753"></A>. If the solutions are suppressed, these +commands behave in the same way as <TT>\item</TT>, otherwise they +format the item label using one of the commands: + +<BR CLEAR="ALL"> +<HR><TT>\correctitemformat</TT><A NAME="756"></A><TT>{</TT><EM>label</EM><TT>}</TT> +<BR><TT>\incorrectitemformat</TT><A NAME="759"></A><TT>{</TT><EM>label</EM><TT>}</TT> +<BR CLEAR="ALL"> +<HR>For example: +<PRE> +Under which of the following functions does $S=\{a_1,a_2\}$ +become a probability space? +\begin{enumerate} +\incorrectitem $P(a_1)=\frac{1}{3}$, $P(a_2)=\frac{1}{2}$ +\correctitem $P(a_1)=\frac{3}{4}$, $P(a_2)=\frac{1}{4}$ +\correctitem $P(a_1)=1$, $P(a_2)=0$ +\incorrectitem $P(a_1)=\frac{5}{4}$, $P(a_2)=-\frac{1}{4}$ +\end{enumerate} +</PRE> + +<P> +<A HREF="probsoln-manual.html#top">Top</A> <P> -<H1><A NAME="SECTION00060000000000000000"></A> -<A NAME="sec:useprob"></A> +<H1><A NAME="SECTION00060000000000000000"></A><A NAME="sec:defproblem"></A> <BR> -Displaying a Problem +5 Defining a Problem </H1> - -<A NAME="useproblem"></A><TT>useproblem</TT><A NAME="425"></A><code>{</code><I>label</I><code>}</code> -<BR> -<BR> -Once a problem has been defined using <A HREF="#newproblem"><TT>newproblem</TT><A NAME="430"></A></A>, it -can be typeset using the command <TT>\useproblem</TT><A NAME="433"></A>. If the -problem was defined to take arguments, the arguments to the -problem should come after the label. In the case of the -<A HREF="#sindiff"><TT>sindiff</TT></A> example above, the command -<code>\useproblem{sindiff}{2}</code> would produce the following: -<BR> -<BR> <I>f</I>(<I>x</I>) = sin(2<I>x</I>) - -<H4><A NAME="SECTION00060010000000000000"> -Solution:</A> -</H4> <I>f'</I>(<I>x</I>) = 2cos(2<I>x</I>) -<BR> -<BR> -whereas the command <code>\useproblem{diff:quad}{3}{0}{-2}</code> would produce: -<BR> -<BR> <I>f</I>(<I>x</I>) = 3<I>x</I><SUP>2</SUP> - 2 - -<H4><A NAME="SECTION00060020000000000000"> -Solution:</A> -</H4> <I>f'</I>(<I>x</I>) = 6<I>x</I> -<BR> -<BR> <P> -Suppose all the above problems are defined in the file -<TT>probs.tex</TT>, then the following code will create a -problem sheet with four questions in it: +It is possible to construct a problem sheet with solutions using +the commands described in the previous sections, however it is +also possible to define a set of problems for later use. In this +way you can create an external file containing many problems some +or all of which can be loaded and used in a document. The +<TT>probsoln</TT> package has a default data set labelled +"default" in which you can store problems or you can create +multiple data sets. You can then iterate through each problem +in a problem set. You can use a previously defined problem more +than once, which means that by judicious use of <TT>onlyproblem</TT><A NAME="766"></A>, +<TT>onlysolution</TT><A NAME="769"></A> or the <TT>showanswers</TT><A NAME="772"></A> boolean variable +in conjunction with <TT>\showanswers</TT><A NAME="775"></A> and <TT>\hideanswers</TT><A NAME="778"></A>, +you can print the solutions in a different location to the +questions (for example in an appendix). + +<P> +<A NAME="1565"></A> +<BR CLEAR="ALL"> +<HR><code>\begin{defproblem}</code><TT>[</TT><EM>n</EM><TT>]{</TT><EM>label</EM><TT>}</TT><I>definition</I><code>\end{defproblem}</code> +<BR CLEAR="ALL"> +<HR>This defines the problem whose label is given by <I>label</I>. +The label must be unique for a given data set and should not +contain active characters. (Active characters include the special +characters such as $ and &, but some packages may make other +symbols active. For example, the <TT>ngerman</TT><A NAME="781"></A> and <TT>babel</TT><A NAME="784"></A> +packages make certain punctuation active. Check the relevant +package documentation for details.) + +<P> +If <TT>defproblem</TT> occurs in the document or is included via +<TT>\input</TT> or <TT>\include</TT>, then the problem will be added to +the default data set. If <TT>defproblem</TT> occurs in an external +file that is loaded using one of the commands defined in +<A HREF="probsoln-manual.html#sec:load">Loading Problems From +External Files</A> then the problem will be added to +the specified data set. + +<P> +The contents of the <TT>defproblem</TT> environment should be the +text that defines the problem. This may include any of the +commands defined in +<A HREF="probsoln-manual.html#sec:showanswers">Showing and Hiding +Solutions</A> and <A HREF="probsoln-manual.html#sec:formatting">General Formatting +Commands</A>. + +<P> +The problem may optionally take <I>n</I> arguments (where +<I>n</I> is from 0 to 9). The arguments can be referenced +in the definition via <TT>#1</TT>,...,<TT>#9</TT>. +If <I>n</I> is omitted then the problem doesn't take any +arguments. +The following example defines a problem with one argument: <PRE> -\documentclass{article} +\begin{defproblem}[1]{diffsin} +Differentiate $f(x)=\sin(#1x)$. +\begin{onlysolution}% +\begin{solution} +$f'(x) = #1\cos(#1x)$ +\end{solution} +\end{onlysolution} +\end{defproblem} +</PRE> -\usepackage{probsoln} -\input{probs} +<P> -\begin{document} -Differentiate the following functions with respect to $x$: -\begin{enumerate} -\item \useproblem{quaddiff} -\item \useproblem{sindiff}{4} -\item \useproblem{diff:quad}{2}{3}{1} -\item \useproblem{diff:quad}{0}{1}{2} -\end{enumerate} -\end{document} +<BR CLEAR="ALL"> +<HR><TT>\newproblem</TT><A NAME="790"></A><TT>[</TT><EM>n</EM><TT>]{</TT><EM>label</EM><TT>}{</TT><EM>problem</EM><TT>}{</TT><EM>solution</EM><TT>}</TT> +<BR CLEAR="ALL"> +<HR>This is a shortcut command for: +<TT> +<TT>\begin</TT>{defproblem}<TT>[</TT><EM>n</EM><TT>]{</TT><EM>label</EM><TT>}</TT>% +<I>problem</I>% +<TT>\begin</TT>{onlysolution}% +<TT>\begin</TT>{solution}% +<I>solution</I>% +<TT>\end</TT>{solution}% +<TT>\end</TT>{onlysolution}% +<TT>\end</TT>{defproblem} +</TT> +For example: +<PRE> +\newproblem[1]{diffsin}{% +\(f(x) = \sin(#1x)\) +}{% +\(f'(x) = #1\cos(#1x)\) +} +</PRE> +is equivalent to +<PRE> +\begin{defproblem}[1]{diffcos}% +\(f(x) = \cos(#1x)\) +\begin{onlysolution}% +\begin{solution}% +\(f'(x) = -#1\sin(#1x)\) +\end{solution}% +\end{onlysolution}% +\end{defproblem} </PRE> -The answer sheet can then be generated by passing the option -<TT>answers</TT> to the <TT>probsoln</TT> package. +(In this example, the argument will need to be a positive number +to avoid a double minus in the answer. If you want to perform +floating point arithmetic on the arguments, then try the +<TT>fp</TT><A NAME="793"></A> package.) <P> -<H1><A NAME="SECTION00070000000000000000"> -Selecting All Problems</A> -</H1> +<BR CLEAR="ALL"> +<HR><TT>\newproblem*</TT><A NAME="796"></A><TT>[</TT><EM>n</EM><TT>]{</TT><EM>label</EM><TT>}{</TT><EM>definition</EM><TT>}</TT> +<BR CLEAR="ALL"> +<HR>This is a shortcut for: +<TT> +<TT>\begin</TT>{defproblem}<TT>[</TT><EM>n</EM><TT>]{</TT><EM>label</EM><TT>}</TT>% +<I>definition</I>% +<TT>\end</TT>{defproblem} +</TT> <P> -To select all problems defined in a database, in the order in -which they were defined, use the command: +<B>NOTE:</B> Verbatim text must not be used in the contents of <TT>defproblem</TT><A NAME="799"></A> +or in any of the arguments to <TT>\newproblem</TT> or +<TT>\newproblem*</TT>. If you need verbatim-like text consider using +<TT>\texttt</TT> or the <TT>alltt</TT><A NAME="802"></A> package. -<A NAME="selectallproblems"></A><TT>selectallproblems</TT><A NAME="440"></A><code>{</code><I>filename</I><code>}</code> -For example, suppose the problems are defined in the file -<TT>easy.tex</TT>, then the following will create a problem sheet -which uses all these problems: -<PRE> -\documentclass[a4paper]{article} +<P> +<A HREF="probsoln-manual.html#top">Top</A> -\usepackage{probsoln} +<P> -\begin{document} -Differentiate the following functions: -\begin{enumerate} -\selectallproblems{easy} -\end{enumerate} -\end{document} +<H1><A NAME="SECTION00070000000000000000"></A><A NAME="sec:useproblem"></A> +<BR> +6 Using a Problem +</H1> + +<P> +Once you have defined a problem using <TT>defproblem</TT><A NAME="808"></A> or +<TT>\newproblem</TT> (see +<A HREF="probsoln-manual.html#sec:defproblem">Defining a +Problem</A>), you can later display the problem +using: + +<BR CLEAR="ALL"> +<HR><TT>\useproblem</TT><A NAME="811"></A><TT>[</TT><EM>data set</EM><TT>]{</TT><EM>label</EM><TT>}{</TT><EM>arg<SUB>1</SUB></EM><TT>}</TT>... +<TT>{</TT><EM>arg<SUB>N</SUB></EM><TT>}</TT> +<BR CLEAR="ALL"> +<HR>where <I>data set</I> is the name of the data set that contains +the problem (the default data set is used if omitted), +<I>label</I> is the label identifying the required problem and +<I>arg<SUB>1</SUB></I>, ..., +<I>arg<SUB>N</SUB></I> +are the arguments to pass to the problem, if the problem was +defined to have arguments (where N is the number +of arguments specified when the problem was defined). + +<P> +For example, in the previous section the problem <TT>diffcos</TT> +was defined to have one argument, so it can be used as follows: +<PRE> +\useproblem{diffcos}{3} +</PRE> +This will be equivalent to: +<PRE> +\(f(x) = \cos(3x)\) +\begin{onlysolution}% +\begin{solution}% +\(f'(x) = -3\sin(3x)\) +\end{solution}% +\end{onlysolution}% </PRE> <P> +<A HREF="probsoln-manual.html#top">Top</A> -<H1><A NAME="SECTION00080000000000000000"></A> -<A NAME="sec:selran"></A> +<P> + +<H1><A NAME="SECTION00080000000000000000"></A><A NAME="sec:load"></A> <BR> -Selecting Problems at Random +7 Loading Problems From External Files </H1> - -<A NAME="selectrandomly"></A><TT>selectrandomly</TT><A NAME="444"></A><code>{</code><I>filename</I><code>}{</code><I>n</I><code>}</code> -<BR> -<BR> -The command <TT>\selectrandomly</TT><A NAME="447"></A> will select <I>n</I> -problems that are defined in the file <I>filename</I>. Each -problem is proceeded by -<A NAME="PSitem"></A><TT>PSitem</TT><A NAME="451"></A> which is -defined to be <TT>\item</TT><A NAME="454"></A>, so the command -<TT>\selectrandomly</TT><A NAME="457"></A> should occur within one of the -list-like environments, such as <TT>enumerate</TT>. -For example: + +<P> +You can store all your problem definitions (see +<A HREF="probsoln-manual.html#sec:defproblem">Defining New +Problems</A>) in an external file. +These problems can all be appended to the default data set by +including the file via <TT>\input</TT><A NAME="817"></A> or they can be appended +to other data sets using one of the commands described below. +Once you have loaded all the required problems, you can +iterate through the data sets using the commands described +in <A HREF="probsoln-manual.html#sec:foreach">Iterating +Through Datasets</A>. Note that the commands below +will create a new data set, if the named data set doesn't +exist. + +<P> + +<BR CLEAR="ALL"> +<HR><TT>\loadallproblems</TT><A NAME="820"></A><TT>[</TT><EM>data set</EM><TT>]{</TT><EM>filename</EM><TT>}</TT> +<BR CLEAR="ALL"> +<HR>This will load all problems defined in <I>filename</I> and +append them to the specified data set, in the order in which +they are defined in the file. If <I>data set</I> is +omitted, the default data set will be used. If <I>data set</I> +doesn't exist, it will be created. + +<P> + +<BR CLEAR="ALL"> +<HR><TT>\loadselectedproblems</TT><A NAME="823"></A><TT>[</TT><EM>data set</EM><TT>]{</TT><EM>labels</EM><TT>}{</TT><EM>filename</EM><TT>}</TT> +<BR CLEAR="ALL"> +<HR>This is like <TT>\loadproblems</TT>, but only those problems whose +label is listed in the comma-separated list <I>labels</I> are +loaded. For example, if I have some problems defined in the +file <TT>derivatives.tex</TT>, then <PRE> -\begin{enumerate} -\selectrandomly{easy.tex}{4} -\end{enumerate} +\loadselectedproblems{diffsin,diffcos}{derivatives} </PRE> -will result in four numbered problems, selected at random -from the file <TT>easy.tex</TT>. (The <TT>.tex</TT> extension -may be omitted.) Each problem is followed by the command -<A NAME="endPSNitem"></A><TT>endPSNitem</TT><A NAME="461"></A> which by default does nothing. +will only load the problems whose labels are <TT>diffsin</TT> +and <TT>diffcos</TT>, respectively. All the other problems in +the file will remain undefined. <P> -Multiple <TT>\selectrandomly</TT><A NAME="464"></A> commands may be used, however a -different file must be used each time. For -example: -<PRE> -\begin{enumerate} -\item Differentiate the following functions with respect to $x$: -\begin{enumerate} -\selectrandomly{samples/easy.tex}{3} -\selectrandomly{samples/args.tex}{1} -\end{enumerate} +<BR CLEAR="ALL"> +<HR><TT>\loadrandomproblems</TT><A NAME="826"></A><TT>[</TT><EM>data set</EM><TT>]{</TT><EM>n</EM><TT>}{</TT><EM>filename</EM><TT>}</TT> +<BR CLEAR="ALL"> +<HR>This randomly loads <I>n</I> problems from <I>filename</I> and +adds them to the given data set. If <I>data set</I> is omitted, +the default data set is assumed. Note that the problems will be +added to the data set in a random order, not in the order in +which they were defined. There must be at least <I>n</I> problems +defined in <I>filename</I>. -\selectrandomly{samples/implicit.tex}{1} -\selectrandomly{samples/1stprncpl.tex}{1} +<P> +<B>NOTE:</B> It is generally not a good idea to place anything in +<I>filename</I> that is not inside the body of <TT>defproblem</TT><A NAME="829"></A> +or in the arguments to <TT>\newproblem</TT><A NAME="832"></A> or <TT>\newproblem*</TT><A NAME="835"></A>. +All the commands in this section input the external file within +a local scope, so commands definitions would need to be made +global to have any effect. In addition, <TT>\loadrandomproblems</TT> +has to load each file twice, which means that anything outside +a problem definition will be parsed twice. -\end{enumerate} -</PRE> -This will result in a total of 6 problems, numbered 1(a), -1(b), 1(c), 1(d), 2 and 3. +<P> <P> -If a randomly selected problem requires arguments, a message -similar to the following will be displayed: -<PRE> -Problem diff:quad requires 3 argument(s), please specify (e.g. {5}{3}): -</PRE> -Enter the required arguments, where each argument is -enclosed in braces ({ }). +<A HREF="probsoln-manual.html#top">Top</A> <P> -<H1><A NAME="SECTION00090000000000000000"> -Other Commands</A> +<H1><A NAME="SECTION00090000000000000000"></A><A NAME="sec:foreach"></A> +<BR> +8 Iterating Through Datasets </H1> -The command <A NAME="PSNrandseed"></A><TT>PSNrandseed</TT><A NAME="468"></A><code>{</code><I>n</I><code>}</code> specifies -the seed for the random number generator. For example, -if you are using <A HREF="#selectrandomly"><TT>selectrandomly</TT><A NAME="473"></A></A>, -<code>\PSNrandseed{\year}</code> will produce a different set of -problems each year, whereas <code>\PSNrandseed{\time}</code> -will produce a different set of problems each time you -L<SUP><SMALL>A</SMALL></SUP>T<SMALL>E</SMALL>X the problem sheet (as long as you leave at least a -minute between runs.) - -<P> -The command <A NAME="random"></A><TT>random</TT><A NAME="477"></A><code>{</code><I>counter</I><code>}{</code><I>a</I><code>}{</code><I>b</I><code>}</code> -generates a random number from <I>a</I> to <I>b</I> and -stores it in the L<SUP><SMALL>A</SMALL></SUP>T<SMALL>E</SMALL>X counter <I>counter</I>. For example, -to select 2, 3 or 4 problems from the file -<TT>implicit.tex</TT>: +<P> +Once you have defined all your problems for a given data set, +you can use an individual problem with <TT>\useproblem</TT><A NAME="841"></A> +(see <A HREF="probsoln-manual.html#sec:useproblem">Using a +Problem</A>) but it is more likely that you will +want to iterate through all the problems so that you don't need +to remember the labels of all the problems you have defined. + +<P> + +<BR CLEAR="ALL"> +<HR><TT>\foreachproblem</TT><A NAME="844"></A><TT>[</TT><EM>data set</EM><TT>]{</TT><EM>body</EM><TT>}</TT> +<BR CLEAR="ALL"> +<HR>This does <I>body</I> for each problem in the given data set. +If <I>data set</I> is omitted, the default data set is used. +Within <I>body</I> you can use +<TT>\thisproblem</TT> to use the +current problem and <TT>\thisproblemlabel</TT> +to access the current label. If the problem requires arguments, +you will be prompted for them, so if you want to use this +approach you will need to use LaTeX in interactive mode. If +you do provide arguments, they will be stored in the event that +you need to iterate through the data set again. The +arguments will be included in <TT>\thisproblem</TT>, so you only +need to use <TT>\thisproblem</TT> without having to specify +<TT>\useproblem</TT><A NAME="847"></A>. For example, to iterate through all problems +in the default data set: <PRE> -\newcounter{numproblems} \begin{enumerate} -\random{numproblems}{2}{4} -\selectrandomly{implicit.tex}{\value{numproblems}} +\foreachproblem{\item\thisproblem} \end{enumerate} </PRE> -(Note the use of <TT>\value</TT><A NAME="480"></A>.) <P> -This command can also be used to generate random values for -problems that take arguments. Consider the problem <A HREF="#diff:quad"><TT>diff:quad</TT></A> -defined earlier. Three counters can be defined to represent the -three coefficients: -<PRE> -\newcounter{A} -\newcounter{B} -\newcounter{C} -</PRE> -Random values can now be assigned to these counters: + +<BR CLEAR="ALL"> +<HR><TT>\foreachdataset</TT><A NAME="850"></A><TT>{</TT><EM>cmd</EM><TT>}{</TT><EM>body</EM><TT>}</TT> +<BR CLEAR="ALL"> +<HR>This does <I>body</I> for each of the defined data sets. Within +<I>body</I>, <I>cmd</I> will be set to the name of the current +data set. For example, to display all problems in all data sets: <PRE> -\random{A}{-5}{5} -\random{B}{-5}{5} -\random{C}{-5}{5} +\begin{enumerate} +\foreachdataset{\thisdataset}{% +\foreachproblem[\thisdataset]{\item\thisproblem}} +\end{enumerate} </PRE> -Finally, the problem can be used (note the use of <TT>\arabic</TT><A NAME="486"></A>): -<PRE> -\useproblem{diff:quad}{\arabic{A}}{\arabic{B}}{\arabic{C}} -</PRE> - -<P> -The command -<A NAME="doforrandN"></A><TT>doforrandN</TT><A NAME="490"></A><code>{</code><I>n</I><code>}{</code><I>cmd</I><code>}{</code><I>list</I><code>}{</code><I>text</I><code>}</code> will apply -<I>text</I> for a random selection of <I>n</I> items in the -comma separated <I>list</I>. In each iteration the list -item is denoted by <I>cmd</I>. For example, suppose you -have three files called <TT>file1.tex</TT>, -<TT>file2.tex</TT> and <TT>file3.tex</TT>, and you want to -select 1 problem from two of the three files, then you can -do: + +<P> +Suppose I have two external files called +<TT>derivatives.tex</TT> and <TT>probspaces.tex</TT> which +define problems using both <TT>onlyproblem</TT><A NAME="853"></A> and +<TT>onlysolution</TT><A NAME="856"></A> for example: <PRE> -\doforrandN{2}{\file}{file1,file2,file3}{\selectrandomly{\file}{1}} +\begin{defproblem}{cosxsqsinx}% +\begin{onlyproblem}% +$y = \cos(x^2)\sin x$.% +\end{onlyproblem}% +\begin{onlysolution}% +\[\frac{dy}{dx} = -\sin(x^2)2x\sin x + \cos(x^2)\cos x\] +\end{onlysolution}% +\end{defproblem} </PRE> -Note that it is also possible to do +I can write a document that creates two data sets, one for +the derivative problems and one for the problems about +probability spaces. I can then use <TT>\hideanswers</TT><A NAME="859"></A> and +iterate through the require data set to produce the problems. +Later, I can use <TT>\showanswers</TT><A NAME="862"></A> and iterate over all problems defined in both data +sets to produce the chapter containing all the answers. When +displaying the questions, I have taken advantage of the fact that +I can cross-reference items within an <TT>enumerate</TT><A NAME="865"></A> environment, +and redefined <TT>\theenumi</TT><A NAME="868"></A> to label the questions according to +the chapter. The cross-reference label is constructed from +the problem label and is referenced in the answer section to +ensure that the answers have the same label as the questions. <PRE> -\newcounter{numproblems} -\random{numproblems}{1}{3} -\selectrandomly{file\arabic{numproblems}}{1} -\random{numproblems}{1}{3} -\selectrandomly{file\arabic{numproblems}}{1} +\documentclass{report} +\usepackage{probsoln} +\begin{document} +\hideanswers +\chapter{Differentiation} +% randomly select 25 problems from derivatives.tex and add to +% the data set called 'deriv' +\loadrandomproblems[deriv]{25}{derivatives} + +% Display the problems +\renewcommand{\theenumi}{\thechapter.\arabic{enumi}} +\begin{enumerate} +\foreachproblem[deriv]{\item\label{prob:\thisproblemlabel}\thisproblem} +\end{enumerate} +% You may need to change \theenumi back here + +\chapter{Probability Spaces} +% randomly select 25 problems from probspaces.tex and add to +% the data set called 'spaces' +\loadrandomproblems[spaces]{25}{probspaces} + +% Display the problems +\renewcommand{\theenumi}{\thechapter.\arabic{enumi}} +\begin{enumerate} +\foreachproblem[spaces]{\item\label{prob:\thisproblemlabel}\thisproblem} +\end{enumerate} +% You may need to change \theenumi back here + +\appendix + +\chapter{Solutions} +\showanswers +\begin{itemize} +\foreachdataset{\thisdataset}{% +\foreachproblem[\thisdataset]{\item[\ref{prob:\thisproblemlabel}]\thisproblem} +} +\end{itemize} + +\end{document} </PRE> -however there is a possibility that the same file may be -selected twice which will cause an error. <P> -The command <A NAME="showanswers"></A><TT>showanswers</TT><A NAME="494"></A> will show the solutions from -that point on. May be localised by placing within a group. <P> -The command <A NAME="hideanswers"></A><TT>hideanswers</TT><A NAME="498"></A> will hide the solutions from -that point on. May be localised by placing within a group. +<A HREF="probsoln-manual.html#top">Top</A> <P> -The solution is placed inside the <TT>solution</TT> -environment. By default this environment simply does -<code>\par\noindent\textbf{\solutionname:} </code> at the start, where -<A NAME="solutionname"></A><TT>solutionname</TT><A NAME="503"></A> -has the value: Solution. See the file <TT>sample3.tex</TT>, which -comes with this package, for an illustration of how to -customise the way in which the randomly selected problems are -displayed. This sample file randomly selects multiple choice -problems stored in the file <TT>tabmchoice.tex</TT>, and displays them -in a longtable <TT>environment</TT>. As from version 2.03, the package -will not define this environment if another package or class file has -already defined it. + +<H1><A NAME="SECTION000100000000000000000"></A><A NAME="sec:random"></A> +<BR> +9 Random Number Generator +</H1> <P> -The boolean variable <TT>showanswers</TT> is defined to be -true if the answers are shown and false otherwise. You can -therefore do something like: -<PRE> -\ifthenelse{\boolean{showanswers}}{\textbf{Solution Sheet}}{} -</PRE> -and <B>Solution Sheet</B> will be printed only if the -answers are displayed. (For more information on -<TT>\ifthenelse</TT><A NAME="507"></A> and <TT>\boolean</TT><A NAME="510"></A> see the -documentation for the <TT>ifthen</TT> package by -David Carlisle.) +This package provides a pseudo-random number generator that is used +by <TT>\loadrandomproblems</TT><A NAME="874"></A>. <P> -The <TT>showanswers</TT> switch can also be used within the definition -of a problem, if you want the question to appear differently if the -solution is displayed. For example: + +<BR CLEAR="ALL"> +<HR><TT>\PSNrandseed</TT><A NAME="877"></A><TT>{</TT><EM>n</EM><TT>}</TT> +<BR CLEAR="ALL"> +<HR>This sets the seed to <I>n</I> which must be a non-zero integer. +For example, to generate a different set of random numbers +every time you LaTeX your document,<A NAME="tex2html3" + HREF="#foot462"><SUP>1</SUP></A> put the following in your +preamble: <PRE> -\newproblem{mc:prod}{% -Which of the following is the derivative of $x\sin(x)$? -(Circle the correct answer.) -\ifthenelse{\boolean{showanswers}}{}% -{\begin{description} -\item[A] $\sin(x)$ -\item[B] $x\cos(x)$ -\item[C] $\sin(x) + x\cos(x)$ -\end{description} -}}{% -\begin{description} -\item[A] $\sin(x)$ -\item[B] $x\cos(x)$ -\item[\textcircled{C}] $\sin(x) + x\cos(x)$ (product rule). -\end{description} -} +\PSNrandseed{\time} +</PRE> +or to generate a different set of random numbers every year you +LaTeX your document: +<PRE> +\PSNrandseed{\year} </PRE> -If the solutions are not displayed, the question will appear -as -<DL> -<DT></DT> -<DD>Which of the following is the derivative of -<I>x</I>sin(<I>x</I>)? -(Circle the correct answer.) -<DL> -<DT><STRONG>A</STRONG></DT> -<DD>sin(<I>x</I>) -</DD> -<DT><STRONG>B</STRONG></DT> -<DD><I>x</I>cos(<I>x</I>) -</DD> -<DT><STRONG>C</STRONG></DT> -<DD>sin(<I>x</I>)+<I>x</I>cos(<I>x</I>) -</DD> -</DL> -</DD> -</DL> -otherwise it will appear as: -<DL> -<DT></DT> -<DD>Which of the following is the derivative of -<I>x</I>sin(<I>x</I>)? -(Circle the correct answer.) -<DL> -<DT><STRONG>A</STRONG></DT> -<DD>sin(<I>x</I>) -</DD> -<DT><STRONG>B</STRONG></DT> -<DD><I>x</I>cos(<I>x</I>) -</DD> -<DT><STRONG><FONT SIZE="+2">©</FONT></STRONG></DT> -<DD>sin(<I>x</I>) + <I>x</I>cos(<I>x</I>) (product rule) -</DD> -</DL> -</DD> -</DL> <P> -<H1><A NAME="SECTION000100000000000000000"> -Troubleshooting</A> -</H1> +<BR CLEAR="ALL"> +<HR><TT>\PSNgetrandseed</TT><A NAME="880"></A><TT>{</TT><EM>register</EM><TT>}</TT> +<BR CLEAR="ALL"> +<HR>This stores the current seed in the count register specified by +<I>register</I>. +For example: +<PRE> +\newcount\myseed +\PSNgetrandseed{\myseed} +</PRE> -<H2><A NAME="SECTION000101000000000000000"> -Unexpected Output</A> -</H2> +<P> -<UL> -<LI>I have lots of blank space before the first problem when -using <A HREF="#selectrandomly"><TT>selectrandomly</TT><A NAME="515"></A></A>. +<BR CLEAR="ALL"> +<HR><TT>\PSNrandom</TT><A NAME="883"></A><TT>{</TT><EM>register</EM><TT>}{</TT><EM>n</EM><TT>}</TT> +<BR CLEAR="ALL"> +<HR>Generates a random integer from 1 to <I>n</I> and stores in +the count register specified by <I>register</I>. For example, +the following generates an integer from 1 to 10 and stores it +in the register <TT>\myreg</TT>: +<PRE> +\newcount\myreg +\PSNrandom{\myreg}{10} +</PRE> <P> -This is probably because you have lots of extraneous white space -in your database. <A HREF="#selectrandomly"><TT>selectrandomly</TT><A NAME="520"></A></A> will input the entire -file, so any extra space will be included. Try commenting out the -extra space using %. -</LI> -</UL> -<P> +<BR CLEAR="ALL"> +<HR><TT>\random</TT><A NAME="886"></A><TT>{</TT><EM>counter</EM><TT>}{</TT><EM>min</EM><TT>}{</TT><EM>max</EM><TT>}</TT> +<BR CLEAR="ALL"> +<HR>Generates a random integer from <I>min</I> to <I>max</I> and +stores in the given counter. For example, the following generates +a random number between 3 and 8 (inclusive) and stores it in +the counter <TT>myrand</TT>. +<PRE> +\newcounter{myrand} +\random{myrand}{3}{8} +</PRE> -<H2><A NAME="SECTION000102000000000000000"> -Error Messages</A> -</H2> +<P> -<UL> -<LI><TT>! Package probsoln Error: Label ... already used. -</TT> +<BR CLEAR="ALL"> +<HR><TT>\doforrandN</TT><A NAME="889"></A><TT>{</TT><EM>n</EM><TT>}{</TT><EM>cmd</EM><TT>}{</TT><EM>list</EM><TT>}{</TT><EM>text</EM><TT>}</TT> +<BR CLEAR="ALL"> +<HR>Randomly selects <I>n</I> values from the comma-separated list +given by <I>list</I> and iterates through this subset. On +each iteration it sets <I>cmd</I> to the current value and +does <I>text</I>. For example, the following will load a +randomly selected problem from two of the listed files (where +<TT>file1.tex</TT>, <TT>file2.tex</TT> and <TT>file3.tex</TT> +are files containing at least one problem): +<PRE> +\doforrandN{2}{\thisfile}{file1,file2,file3}{% +\loadrandomproblems{1}{\thisfile}} +</PRE> <P> -Each label identifier used in <A HREF="#newproblem"><TT>newproblem</TT><A NAME="525"></A></A> must be -unique. Check to make sure you haven't used the same label -more than once. Also check to make sure you haven't -<TT>\input</TT><A NAME="528"></A>ed or randomly selected from the same file more -than once. (Or <TT>\input</TT><A NAME="531"></A>ed and randomly selected from -the same file.) <P> -</LI> -<LI><TT>! Package probsoln Error: Label ... undefined. -</TT> +<A HREF="probsoln-manual.html#top">Top</A> <P> -You need to define a problem before you can use it. Check to -make sure you haven't mis-spelt it, and check to make sure you -have <TT>\input</TT><A NAME="534"></A>ed the file in which it is defined. -<P> -</LI> -<LI><TT>! Package probsoln Error: Requested number too large. -</TT> +<H1><A NAME="SECTION000110000000000000000"> +10 Compatibility With Versions Prior to 3.0</A> +</H1> <P> -You have asked for more problems than are defined within the -specified file. All problems in that file will be selected. +Version 3.0 of the <TT>probsoln</TT> package completely changed the +structure of the package, but the commands described in this +section have been provided to maintain compatibility with +earlier versions. The only problems that are likely to occur are +those where commands are contained within groups. This will +effect any commands that are contained in external files that are +outside of the arguments to <TT>\newproblem</TT><A NAME="896"></A> and <TT>\newproblem*</TT><A NAME="899"></A>. +However, since the external files had to be parsed twice in +order to load the problems, this shouldn't be an issue as adding +anything other than problem definitions in those files would +be problematic anyway. <P> -</LI> -<LI><TT>! Package probsoln Error: Can't randomly select <I>n</I> -item(s) -</TT> +The other likely difference is where the random generator is +used in a group. This includes commands such as +<TT>\selectrandomly</TT><A NAME="902"></A>. For example, if your document contained +something like: +<PRE> +\begin{enumerate} +\selectrandomly{file1}{8} -<P> -You have asked to randomly select <I>n</I> items from a list -that has less than <I>n</I> elements. For example, the -following will generate this error: +\item Solve the following: +\begin{enumerate} +\selectrandomly{file2}{4} +\end{enumerate} + +\selectrandomly{file3}{2} +\end{enumerate} +</PRE> +Then using versions prior to v3.0 will produce a different +set of random numbers since the second <TT>\selectrandomly</TT> +is in a different level of grouping. If you want to ensure +that the document produces exactly the same random set with +the new version as with the old version, you will need to +get and set the random number seed. For example, the above +would need to be modified so that it becomes: <PRE> -\doforrandN{10}{\file}{file1,file2,file3}{% -\selectrandomly{\file}{1}} +\begin{enumerate} +\selectrandomly{file1}{8} + +\item Solve the following: +\newcount\oldseed +\PSNgetrandseed{\oldseed} +\begin{enumerate} +\selectrandomly{file2}{4} +\end{enumerate} +\PSNrandseed{\oldseed} + +\selectrandomly{file3}{2} +\end{enumerate} </PRE> -In this case the list, <TT>file1,file2,file3</TT> has only 3 -elements, but the user has asked for 10 elements. If you type -`h' at the L<SUP><SMALL>A</SMALL></SUP>T<SMALL>E</SMALL>X prompt it will tell you how many items it thinks -there are in the list. Remember that each item must be separated by a -comma. <P> -</LI> -<LI><TT>! LaTeX Error: Lonely <TT>\item</TT><A NAME="537"></A>-perhaps missing list -environment. + +<BR CLEAR="ALL"> +<HR><TT>\selectrandomly</TT><A NAME="905"></A><TT>{</TT><EM>filename</EM><TT>}{</TT><EM>n</EM><TT>}</TT> +<BR CLEAR="ALL"> +<HR>This is now equivalent to: +<TT> +{<TT>\loadrandomproblems[</TT><EM>filename</EM><TT>]{</TT><EM>n</EM><TT>}{</TT><EM>filename</EM><TT>}</TT>}% +<TT>\foreachproblem[</TT><EM>filename</EM><TT>]{</TT><EM><TT>\PSNitem\thisproblem\endPSNitem</TT></EM><TT>}</TT> </TT> <P> -Each problem selected using <A HREF="#selectrandomly"><TT>selectrandomly</TT><A NAME="542"></A></A> is -proceeded by <A HREF="#PSNitem"><TT>PSNitem</TT><A NAME="547"></A></A> which by default is defined -as <TT>\item</TT><A NAME="550"></A>, and should therefore be -placed in one of the list environments, such as -<TT>enumerate</TT>. Alternatively, redefine <A HREF="#PSNitem"><TT>PSNitem</TT><A NAME="555"></A></A>. + +<BR CLEAR="ALL"> +<HR><TT>\selectallproblems</TT><A NAME="908"></A><TT>{</TT><EM>filename</EM><TT>}</TT> +<BR CLEAR="ALL"> +<HR>This is now equivalent to: +<TT> +{<TT>\loadallproblems[</TT><EM>filename</EM><TT>]{</TT><EM>filename</EM><TT>}</TT>}% +<TT>\foreachproblem[</TT><EM>filename</EM><TT>]{</TT><EM><TT>\PSNitem\thisproblem\endPSNitem</TT></EM><TT>}</TT> +</TT> <P> -</LI> -<LI>I get an error when I put a command definition in my database -when using <TT>\selectrandomly</TT><A NAME="558"></A>. +Note that in both the above cases, a new data set is created +with the same name as the file name. <P> -<A HREF="#selectrandomly"><TT>selectrandomly</TT><A NAME="563"></A></A> inputs the database twice, so any -command definition will be read twice, causing an error. You -can use the switch <TT>\iffirstpass</TT><A NAME="566"></A> to prevent the error. For -example: -<PRE> -\iffirstpass -\newcommand{\mycmd}{} -\fi -</PRE> -It is generally not a good idea to put anything other than -<A HREF="#newproblem"><TT>newproblem</TT><A NAME="571"></A></A> commands within the database. <P> -</LI> -</UL> +<A HREF="probsoln-manual.html#top">Top</A> <P> -<H1><A NAME="SECTION000110000000000000000"> -Contact Details</A> -</H1> -Dr Nicola Talbot -<BR> -School of Computing Sciences -<BR> -University of East Anglia -<BR> -Norwich. NR4 7TJ -<BR><TT><A NAME="tex2html1" - HREF="http://theoval.cmp.uea.ac.uk/~nlct/">http://theoval.cmp.uea.ac.uk/~nlct/</A></TT> <P> <BR> <H2><A NAME="SECTION000120000000000000000"> Index</A> </H2><DL COMPACT> -<DT><STRONG><TT>\arabic</TT></STRONG> -<DD><A HREF="#486">Other Commands</A> -<DT><STRONG><TT>\boolean</TT></STRONG> -<DD><A HREF="#510">Other Commands</A> -<DT><STRONG><TT>\doforrandN</TT></STRONG> -<DD><A HREF="#490">Other Commands</A> -<DT><STRONG><TT>\endPSNitem</TT></STRONG> -<DD><A HREF="#461">Selecting Problems at Random</A> -<DT><STRONG><TT>\hideanswers</TT></STRONG> -<DD><A HREF="#498">Other Commands</A> -<DT><STRONG><TT>\iffirstpass</TT></STRONG> -<DD><A HREF="#566">Error Messages</A> -<DT><STRONG><TT>\ifthenelse</TT></STRONG> -<DD><A HREF="#507">Other Commands</A> -<DT><STRONG><TT>\input</TT></STRONG> -<DD><A HREF="#415">Creating a Database</A> - | <A HREF="#528">Error Messages</A> - | <A HREF="#531">Error Messages</A> - | <A HREF="#534">Error Messages</A> -<DT><STRONG><TT>\item</TT></STRONG> -<DD><A HREF="#454">Selecting Problems at Random</A> - | <A HREF="#537">Error Messages</A> - | <A HREF="#550">Error Messages</A> -<DT><STRONG><TT>\newproblem</TT></STRONG> -<DD><A HREF="#386">Creating a New Problem</A> - | <A HREF="#389">Creating a New Problem</A> - | <A HREF="#407">Creating a Database</A> - | <A HREF="#430">Displaying a Problem</A> - | <A HREF="#525">Error Messages</A> - | <A HREF="#571">Error Messages</A> -<DT><STRONG><TT>\newproblem*</TT></STRONG> -<DD><A HREF="#393">Creating a New Problem</A> - | <A HREF="#412">Creating a Database</A> -<DT><STRONG><TT>\PSitem</TT></STRONG> -<DD><A HREF="#451">Selecting Problems at Random</A> -<DT><STRONG><TT>\PSNitem</TT></STRONG> -<DD><A HREF="#547">Error Messages</A> - | <A HREF="#555">Error Messages</A> -<DT><STRONG><TT>\PSNrandseed</TT></STRONG> -<DD><A HREF="#468">Other Commands</A> -<DT><STRONG><TT>\random</TT></STRONG> -<DD><A HREF="#477">Other Commands</A> -<DT><STRONG><TT>\selectallproblems</TT></STRONG> -<DD><A HREF="#440">Selecting All Problems</A> -<DT><STRONG><TT>\selectrandomly</TT></STRONG> -<DD><A HREF="#418">Creating a Database</A> - | <A HREF="#421">Creating a Database</A> - | <A HREF="#444">Selecting Problems at Random</A> - | <A HREF="#447">Selecting Problems at Random</A> - | <A HREF="#457">Selecting Problems at Random</A> - | <A HREF="#464">Selecting Problems at Random</A> - | <A HREF="#473">Other Commands</A> - | <A HREF="#515">Unexpected Output</A> - | <A HREF="#520">Unexpected Output</A> - | <A HREF="#542">Error Messages</A> - | <A HREF="#563">Error Messages</A> - | <A HREF="#558">Error Messages</A> -<DT><STRONG><TT>\showanswers</TT></STRONG> -<DD><A HREF="#494">Other Commands</A> -<DT><STRONG><TT>\solutionname</TT></STRONG> -<DD><A HREF="#503">Other Commands</A> -<DT><STRONG><TT>\useproblem</TT></STRONG> -<DD><A HREF="#425">Displaying a Problem</A> - | <A HREF="#433">Displaying a Problem</A> -<DT><STRONG><TT>\value</TT></STRONG> -<DD><A HREF="#480">Other Commands</A> +<DT><STRONG><TT>alltt</TT></STRONG> +<DD><A HREF="probsoln-manual.html#718">3</A> + | <A HREF="probsoln-manual.html#802">5</A> +<DT><STRONG><TT>babel</TT></STRONG> +<DD><A HREF="probsoln-manual.html#784">5</A> +<DT><STRONG><TT>\correctitem</TT></STRONG> +<DD><A HREF="probsoln-manual.html#747">4</A> +<DT><STRONG><TT>\correctitemformat</TT></STRONG> +<DD><A HREF="probsoln-manual.html#756">4</A> +<DT><STRONG><TT>defproblem</TT> environment</STRONG> +<DD><A HREF="probsoln-manual.html#1565">5</A> + | <A HREF="probsoln-manual.html#799">5</A> + | <A HREF="probsoln-manual.html#808">6</A> + | <A HREF="probsoln-manual.html#829">7</A> +<DT><STRONG><TT>\doforrandN</TT></STRONG> +<DD><A HREF="probsoln-manual.html#889">9</A> +<DT><STRONG><TT>enumerate</TT> environment</STRONG> +<DD><A HREF="probsoln-manual.html#734">4</A> + | <A HREF="probsoln-manual.html#739">4</A> + | <A HREF="probsoln-manual.html#865">8</A> +<DT><STRONG><TT>\foreachdataset</TT></STRONG> +<DD><A HREF="probsoln-manual.html#850">8</A> +<DT><STRONG><TT>\foreachproblem</TT></STRONG> +<DD><A HREF="probsoln-manual.html#844">8</A> +<DT><STRONG><TT>fp</TT></STRONG> +<DD><A HREF="probsoln-manual.html#793">5</A> +<DT><STRONG><TT>\hideanswers</TT></STRONG> +<DD><A HREF="probsoln-manual.html#778">5</A> + | <A HREF="probsoln-manual.html#859">8</A> +<DT><STRONG><TT>\ifshowanswers</TT></STRONG> +<DD><A HREF="probsoln-manual.html#700">3</A> + | <A HREF="probsoln-manual.html#728">4</A> +<DT><STRONG><TT>ifthen</TT></STRONG> +<DD><A HREF="probsoln-manual.html#697">3</A> +<DT><STRONG><TT>\incorrectitem</TT></STRONG> +<DD><A HREF="probsoln-manual.html#750">4</A> +<DT><STRONG><TT>\incorrectitemformat</TT></STRONG> +<DD><A HREF="probsoln-manual.html#759">4</A> +<DT><STRONG><TT>\input</TT></STRONG> +<DD><A HREF="probsoln-manual.html#817">7</A> +<DT><STRONG><TT>\item</TT></STRONG> +<DD><A HREF="probsoln-manual.html#753">4</A> +<DT><STRONG><TT>\loadallproblems</TT></STRONG> +<DD><A HREF="probsoln-manual.html#820">7</A> +<DT><STRONG><TT>\loadrandomproblems</TT></STRONG> +<DD><A HREF="probsoln-manual.html#826">7</A> + | <A HREF="probsoln-manual.html#874">9</A> +<DT><STRONG><TT>\loadselectedproblems</TT></STRONG> +<DD><A HREF="probsoln-manual.html#823">7</A> +<DT><STRONG><TT>\newproblem</TT></STRONG> +<DD><A HREF="probsoln-manual.html#790">5</A> + | <A HREF="probsoln-manual.html#832">7</A> + | <A HREF="probsoln-manual.html#896">10</A> +<DT><STRONG><TT>\newproblem*</TT></STRONG> +<DD><A HREF="probsoln-manual.html#796">5</A> + | <A HREF="probsoln-manual.html#835">7</A> + | <A HREF="probsoln-manual.html#899">10</A> +<DT><STRONG><TT>ngerman</TT></STRONG> +<DD><A HREF="probsoln-manual.html#781">5</A> +<DT><STRONG><TT>onlyproblem</TT> environment</STRONG> +<DD><A HREF="probsoln-manual.html#1547">3</A> + | <A HREF="probsoln-manual.html#712">3</A> + | <A HREF="probsoln-manual.html#766">5</A> + | <A HREF="probsoln-manual.html#853">8</A> +<DT><STRONG><TT>onlysolution</TT> environment</STRONG> +<DD><A HREF="probsoln-manual.html#1551">3</A> + | <A HREF="probsoln-manual.html#715">3</A> + | <A HREF="probsoln-manual.html#725">4</A> + | <A HREF="probsoln-manual.html#769">5</A> + | <A HREF="probsoln-manual.html#856">8</A> +<DT><STRONG>package options</STRONG> +<DD><DL COMPACT> +<DT><STRONG><TT>answers</TT></STRONG> +<DD><A HREF="probsoln-manual.html#673">2</A> + | <A HREF="probsoln-manual.html#688">3</A> +<DT><STRONG><TT>draft</TT></STRONG> +<DD><A HREF="probsoln-manual.html#679">2</A> +<DT><STRONG><TT>final</TT></STRONG> +<DD><A HREF="probsoln-manual.html#682">2</A> +<DT><STRONG><TT>noanswers</TT></STRONG> +<DD><A HREF="probsoln-manual.html#676">2</A> + | <A HREF="probsoln-manual.html#691">3</A> +</DL> +<DT><STRONG><TT>\PSNgetrandseed</TT></STRONG> +<DD><A HREF="probsoln-manual.html#880">9</A> +<DT><STRONG><TT>\PSNrandom</TT></STRONG> +<DD><A HREF="probsoln-manual.html#883">9</A> +<DT><STRONG><TT>\PSNrandseed</TT></STRONG> +<DD><A HREF="probsoln-manual.html#877">9</A> +<DT><STRONG><TT>\random</TT></STRONG> +<DD><A HREF="probsoln-manual.html#886">9</A> +<DT><STRONG><TT>\selectallproblems</TT></STRONG> +<DD><A HREF="probsoln-manual.html#908">10</A> +<DT><STRONG><TT>\selectrandomly</TT></STRONG> +<DD><A HREF="probsoln-manual.html#902">10</A> + | <A HREF="probsoln-manual.html#905">10</A> +<DT><STRONG><TT>\showanswers</TT></STRONG> +<DD><A HREF="probsoln-manual.html#775">5</A> + | <A HREF="probsoln-manual.html#862">8</A> +<DT><STRONG><TT>showanswers</TT> boolean variable</STRONG> +<DD><A HREF="probsoln-manual.html#694">3</A> + | <A HREF="probsoln-manual.html#705">3</A> + | <A HREF="probsoln-manual.html#708">3</A> + | <A HREF="probsoln-manual.html#772">5</A> +<DT><STRONG>\textttsolution environment</STRONG> +<DD><A HREF="probsoln-manual.html#1556">4</A> +<DT><STRONG><TT>textenum</TT> environment</STRONG> +<DD><A HREF="probsoln-manual.html#1560">4</A> + | <A HREF="probsoln-manual.html#743">4</A> +<DT><STRONG><TT>\theenumi</TT></STRONG> +<DD><A HREF="probsoln-manual.html#868">8</A> +<DT><STRONG><TT>\useproblem</TT></STRONG> +<DD><A HREF="probsoln-manual.html#811">6</A> + | <A HREF="probsoln-manual.html#841">8</A> + | <A HREF="probsoln-manual.html#847">8</A> </DL> +<P> +<A HREF="probsoln-manual.html#top">Top</A> +<BR><HR><H4>Footnotes</H4> +<DL> +<DT><A NAME="foot462">... document,</A><A + HREF="probsoln-manual.html#tex2html3"><SUP>1</SUP></A></DT> +<DD>assuming you +leave at least a minute between runs. + +</DD> +</DL> <BR><HR> -<ADDRESS> -<A href=http://theoval.cmp.uea.ac.uk/~nlct/>Nicola L. C. Talbot</A>. -<A HREF=http://www.cmp.uea.ac.uk/>School of Computing Sciences</A>. -<A HREF=http://www.uea.ac.uk/>University of East Anglia.</A> -Last Modified: 2007-08-21 -</ADDRESS> + </BODY> </HTML> diff --git a/Master/texmf-dist/doc/latex/probsoln/probsoln-manual.tex b/Master/texmf-dist/doc/latex/probsoln/probsoln-manual.tex new file mode 100644 index 00000000000..aae8befbed2 --- /dev/null +++ b/Master/texmf-dist/doc/latex/probsoln/probsoln-manual.tex @@ -0,0 +1,781 @@ +\documentclass[a4paper]{ltxdoc} +\usepackage[colorlinks, + bookmarks, + hyperindex=false, + pdfauthor={Nicola L.C. Talbot}, + pdftitle={probsoln: creating problem sheets optionally with solutions}]{hyperref} + +\usepackage{color} +\usepackage{creatdtx} +\ifmakedtx{ +\usepackage{probsoln} +\RecordChanges +\PageIndex +\CheckSum{886} + +\renewcommand{\usage}[1]{\textit{\hyperpage{#1}}} +\renewcommand{\main}[1]{\hyperpage{#1}} +\newcommand{\see}[2]{\emph{see} #1} +\makeatletter +\def\index@prologue{\section*{Index}} +\makeatother +\CodelineNumbered +\newcommand{\dq}[1]{``#1''} + +\definecolor{defbackground}{rgb}{0.8,1,1} + +\newsavebox\defsbox +\newlength\defwidth +\newenvironment{definition}{% +\setlength{\fboxsep}{4pt}\setlength{\fboxrule}{1.25pt}% +\begin{lrbox}{\defsbox}% +\setlength\defwidth\linewidth +\addtolength\defwidth{-2\fboxrule}% +\addtolength\defwidth{-2\fboxsep}% +\begin{minipage}{\defwidth}\flushleft +}{% +\end{minipage} +\end{lrbox}% +\vskip10pt +\noindent +\fcolorbox{black}{defbackground}{\usebox\defsbox}% +\vskip10pt +} + +\newlength\boxlength +\newsavebox\importantbox +\newenvironment{important}{% +\setlength{\fboxrule}{4pt}% +\setlength\boxlength{\linewidth}% +\addtolength\boxlength{-2\fboxsep}% +\addtolength\boxlength{-2\fboxrule}% +\begin{lrbox}{\importantbox}% +\begin{minipage}{\boxlength}% +}{\end{minipage}\end{lrbox}% +\par\vskip10pt\noindent +\fcolorbox{red}{white}{\usebox{\importantbox}}\par\vskip10pt} +} +{ +\usepackage{html} +\usepackage{makeidx} +\renewcommand{\LaTeX}{LaTeX} +\renewcommand{\LaTeXe}{LaTeX2e} +\newcommand{\dq}[1]{"#1"} +\newenvironment{important}{\textbf{NOTE:} }{} +\newenvironment{definition}{\htmlrule}{\htmlrule} +\html{\newcommand{\SpecialMainIndex}[1]{\index{#1@\cs{#1}}}} +} + +\newcommand*{\ics}[1]{\cs{#1}\SpecialMainIndex{#1}} + +\ifmakedtx{ +\newcommand{\pkgopt}[1]{\textsf{#1}\index{package options>#1=\textsf{#1}|hyperpage}} +\newcommand*{\sty}[1]{\textsf{#1}} +\newcommand*{\isty}[1]{\sty{#1}\index{#1 package=\sty{#1} package|hyperpage}} +\newcommand*{\env}[1]{\textsf{#1}} +\newcommand{\ienv}[1]{\env{#1}\index{#1 environment=\env{#1} environment|hyperpage}} +\newcommand*{\bool}[1]{\textsf{#1}\index{#1 boolean variable=\textsf{#1} boolean variable|hyperpage}} +\newcommand{\csdef}[1]{\cs{#1}} +} +{ +\newcommand{\pkgopt}[1]{\texttt{#1}\index{package options!#1@\texttt{#1}}} +\newcommand{\sty}[1]{\texttt{#1}} +\newcommand{\isty}[1]{\sty{#1}\index{#1@\sty{#1}}} +\newcommand{\env}[1]{\texttt{#1}} +\newcommand{\ienv}[1]{\env{#1}\index{#1 environment@\env{#1} environment}} +\newcommand*{\bool}[1]{\texttt{#1}\index{#1 boolean variable@\texttt{#1} boolean variable}} +\newcommand{\csdef}[1]{\ics{#1}} +\renewcommand{\DescribeEnv}[1]{\index{#1 environment@\env{#1} environment}} +\newcommand{\toTop}{\mbox{}\par\htmlref{Top}{top}} +} + +\begin{document}\ifmakedtx{}{\label{top}} +\MakeShortVerb{"} +\DeleteShortVerb{\|} + + \title{probsoln v3.0: creating problem sheets optionally with solutions} + \author{Nicola L.C. Talbot\\[10pt] +School of Computing Sciences\\ +University of East Anglia\\ +Norwich. Norfolk\\ +NR4 7TJ. United Kingdom.\\ +\url{http://theoval.cmp.uea.ac.uk/~nlct/}} + + \date{26th August 2008} + \maketitle +\tableofcontents + + \section{Introduction} +The \sty{probsoln} package is designed for teachers or +lecturers who want to create problem sheets for their +students. This package was designed with specifically +mathematics problems in mind, but can be used for other +subjects as well. The idea is to create a file containing a +large number of problems with their solutions which can be +read in by \LaTeX, and then select a number of problems to +typeset. This means that once the database has been set up, +each year you can easily create a new problem sheet that is +sufficiently different from the previous year, thus +preventing the temptation of current students seeking out +the previous year's students, and checking out their +answers. There is also an option that can be passed to the +package to determine whether or not the solutions should be +printed. In this way, one file can either produce the +student's version or the teacher's version. +\ifmakedtx{}{\toTop} + +\section{Package Options}\label{sec:pkgopt} +The following options may be passed to this package: +\begin{description} +\item[\pkgopt{answers}] Show the answers +\item[\pkgopt{noanswers}] Don't show the answers (default) +\item[\pkgopt{draft}] Display the label and dataset name when a problem is used +\item[\pkgopt{final}] Don't display label and dataset name when a problem is used +\end{description} +\ifmakedtx{}{\toTop} + +\section{Showing and Hiding Solutions}\label{sec:showanswers} + +In addition to the \pkgopt{answers} and \pkgopt{noanswers} package +options, it is also possible to show or suppress the solutions +using \DescribeMacro{\showanswers}\cs{showanswers} and +\DescribeMacro{\hideanswers}\cs{hideanswers}, respectively. +The boolean variable \bool{showanswers} determines whether the +answers should be displayed. You can use this value with the +\isty{ifthen} package to specify different text depending on +whether the solutions should be displayed. For example: +\begin{verbatim} +Assignment 1\ifthenelse{\boolean{showanswers}}{ (Solution Sheet)}{} +\end{verbatim} +Alternatively you can use \ics{ifshowanswers}\ldots\cs{else}\ldots +\cs{fi}: +\begin{verbatim} +Assignment 1\ifshowanswers\space (Solution Sheet)\fi +\end{verbatim} + +For longer passages, you can use the environments \DescribeEnv{onlyproblem}\env{onlyproblem} +and \DescribeEnv{onlysolution}\env{onlysolution}. For example: +\begin{verbatim} +\begin{onlyproblem}% +What is the derivative of $f(x) = x^2$? +\end{onlyproblem}% +\begin{onlysolution}% +$f'(x) = 2x$ +\end{onlysolution} +\end{verbatim} +The above will only display the question if \bool{showanswers} +is false and will only display the solution if \bool{showanswers} +is true. If you want the question to appear in the answer +sheet as well as the solution, then don't put the question in +the \env{onlyproblem} environment: +\begin{verbatim} +What is the derivative of $f(x) = x^2$? +\begin{onlysolution}% +Solution: $f'(x) = 2x$ +\end{onlysolution} +\end{verbatim} +\begin{important} +You can't use verbatim text in the body of the +\ienv{onlyproblem} or \ienv{onlysolution} environments. +If you need verbatim-like text, then try packages such as +\isty{alltt}. Remember that you also can't use verbatim +text in command arguments. +\end{important} +\ifmakedtx{}{\toTop} + +\section{General Formatting Commands}\label{sec:formatting} + +The commands and environments described in this section are +provided to assist formatting problems and their solutions. +\DescribeEnv{solution} +\begin{definition} +\verb|\begin{solution}|\meta{text}\verb|\end{solution}| +\end{definition} +This is equivalent to +\verb|\par\noindent\textbf{\solutionname}:|\meta{text} +where \DescribeMacro{\solutionname}\cs{solutionname} defaults +to \dq{Solution}. Note that you must place the \env{solution} +environment inside the \ienv{onlysolution} environment or +between \ics{ifshowanswers}\ldots\cs{fi} to ensure that it +is suppressed when the solutions are not wanted. (See +\ifmakedtx{\autoref{sec:showanswers}}{\htmlref{Showing and +Hiding Solutions}{sec:showanswers}}.) + + +Note that the \sty{probsoln} package will only define the +\env{solution} environment if it is not already defined. + +\DescribeEnv{textenum} +\begin{definition} +\verb|\begin{textenum}|\ldots\verb|\end{textenum}| +\end{definition} +The \env{textenum} environment is like the \ienv{enumerate} +environment but is in-line. It uses the same counter that the +\env{enumerate} environment would use at that level so the +question can be compact but the answer can use \env{enumerate} +instead. For example: +\begin{verbatim} +\begin{onlyproblem}% +Differentiate the following: +\begin{textenum} +\item $f(x)=2^x$; +\item $f(x)=\cot(x)$ +\end{textenum} +\end{onlyproblem} +\begin{onlysolution} +\begin{enumerate} +\item +\begin{align*} +f(x) &= 2^x = \exp(\ln(x^2)) =\exp(2\ln(x))\\ +f'(x) &= \exp(2\ln(x))\times \frac{2}{x}\\ + &= f(x)\frac{2}{x} +\end{align*} +\item +\begin{align*} +f(x) &= \cot(x) = (\tan(x))^{-2}\\ +f'(x) &= -(\tan(x))^{-2}\times\sec^2(x)\\ +&=-\csc^2x +\end{align*} +\end{enumerate} +\end{onlysolution} +\end{verbatim} +In this example, the items in the question are brief, so an +\ienv{enumerate} environment would result in a lot of +unnecessary white space, +but the answers require more space, so an \env{enumerate} +environment is more appropriate. Since the \ienv{textenum} +environment uses the same counters as the \env{enumerate} +environment, the question and answer sheets use consistent +labelling. Note that there are other packages available on +CTAN that you can use to create in-line lists. Check the +\ifmakedtx{\href{http://www.tex.ac.uk/tex-archive/help/Catalogue/bytopic.html\#enumeration}{TeX +Catalogue}}{\htmladdnormallink{TeX +Catalogue}{http://www.tex.ac.uk/tex-archive/help/Catalogue/bytopic.html\#enumeration}} for +further details. + +\DescribeMacro{\correctitem}\DescribeMacro{\incorrectitem} +\begin{definition} +\csdef{correctitem}\\ +\csdef{incorrectitem} +\end{definition} +You can use the commands \cs{correctitem} and \cs{incorrectitem} +in place of \ics{item}. If the solutions are suppressed, these +commands behave in the same way as \cs{item}, otherwise they +format the item label using one of the commands: +\DescribeMacro{\correctitemformat}\DescribeMacro{\incorrectitemformat} +\begin{definition} +\csdef{correctitemformat}\marg{label}\\ +\csdef{incorrectitemformat}\marg{label} +\end{definition} +For example: +\begin{verbatim} +Under which of the following functions does $S=\{a_1,a_2\}$ +become a probability space? +\begin{enumerate} +\incorrectitem $P(a_1)=\frac{1}{3}$, $P(a_2)=\frac{1}{2}$ +\correctitem $P(a_1)=\frac{3}{4}$, $P(a_2)=\frac{1}{4}$ +\correctitem $P(a_1)=1$, $P(a_2)=0$ +\incorrectitem $P(a_1)=\frac{5}{4}$, $P(a_2)=-\frac{1}{4}$ +\end{enumerate} +\end{verbatim} +\ifmakedtx{}{\toTop} + +\section{Defining a Problem}\label{sec:defproblem} + +It is possible to construct a problem sheet with solutions using +the commands described in the previous sections, however it is +also possible to define a set of problems for later use. In this +way you can create an external file containing many problems some +or all of which can be loaded and used in a document. The +\sty{probsoln} package has a default data set labelled +\dq{default} in which you can store problems or you can create +multiple data sets. You can then iterate through each problem +in a problem set. You can use a previously defined problem more +than once, which means that by judicious use of \ienv{onlyproblem}, +\ienv{onlysolution} or the \bool{showanswers} boolean variable +in conjunction with \ics{showanswers} and \ics{hideanswers}, +you can print the solutions in a different location to the +questions (for example in an appendix). + +\DescribeEnv{defproblem} +\begin{definition} +\verb|\begin{defproblem}|\oarg{n}\marg{label}\meta{definition}\verb|\end{defproblem}| +\end{definition} +This defines the problem whose label is given by \meta{label}. +The label must be unique for a given data set and should not +contain active characters. (Active characters include the special +characters such as \$ and \&, but some packages may make other +symbols active. For example, the \isty{ngerman} and \isty{babel} +packages make certain punctuation active. Check the relevant +package documentation for details.) + +If \env{defproblem} occurs in the document or is included via +\cs{input} or \cs{include}, then the problem will be added to +the default data set. If \env{defproblem} occurs in an external +file that is loaded using one of the commands defined in +\ifmakedtx{\autoref{sec:load}}{\htmlref{Loading Problems From +External Files}{sec:load}} then the problem will be added to +the specified data set. + +The contents of the \env{defproblem} environment should be the +text that defines the problem. This may include any of the +commands defined in +\ifmakedtx{\autoref{sec:showanswers} and +\autoref{sec:formatting}}{\htmlref{Showing and Hiding +Solutions}{sec:showanswers} and \htmlref{General Formatting +Commands}{sec:formatting}}. + +The problem may optionally take \meta{n} arguments (where +\meta{n} is from 0 to 9). The arguments can be referenced +in the definition via \texttt{\#1},\ldots,\texttt{\#9}. +If \meta{n} is omitted then the problem doesn't take any +arguments. +The following example defines a problem with one argument: +\begin{verbatim} +\begin{defproblem}[1]{diffsin} +Differentiate $f(x)=\sin(#1x)$. +\begin{onlysolution}% +\begin{solution} +$f'(x) = #1\cos(#1x)$ +\end{solution} +\end{onlysolution} +\end{defproblem} +\end{verbatim} + +\DescribeMacro{\newproblem} +\begin{definition} +\csdef{newproblem}\oarg{n}\marg{label}\marg{problem}\marg{solution} +\end{definition} +This is a shortcut command for: +\begin{ttfamily}\obeylines +\cs{begin}\{defproblem\}\oarg{n}\marg{label}\% +\meta{problem}\% +\cs{begin}\{onlysolution\}\% +\cs{begin}\{solution\}\% +\meta{solution}\% +\cs{end}\{solution\}\% +\cs{end}\{onlysolution\}\% +\cs{end}\{defproblem\} +\end{ttfamily} +For example: +\begin{verbatim} +\newproblem[1]{diffsin}{% +\(f(x) = \sin(#1x)\) +}{% +\(f'(x) = #1\cos(#1x)\) +} +\end{verbatim} +is equivalent to +\begin{verbatim} +\begin{defproblem}[1]{diffcos}% +\(f(x) = \cos(#1x)\) +\begin{onlysolution}% +\begin{solution}% +\(f'(x) = -#1\sin(#1x)\) +\end{solution}% +\end{onlysolution}% +\end{defproblem} +\end{verbatim} +(In this example, the argument will need to be a positive number +to avoid a double minus in the answer. If you want to perform +floating point arithmetic on the arguments, then try the +\isty{fp} package.) + +\DescribeMacro{\newproblem*} +\begin{definition} +\csdef{newproblem*}\oarg{n}\marg{label}\marg{definition} +\end{definition} +This is a shortcut for: +\begin{ttfamily}\obeylines +\cs{begin}\{defproblem\}\oarg{n}\marg{label}\% +\meta{definition}\% +\cs{end}\{defproblem\} +\end{ttfamily} + +\begin{important} +Verbatim text must not be used in the contents of \ienv{defproblem} +or in any of the arguments to \cs{newproblem} or +\cs{newproblem*}. If you need verbatim-like text consider using +\cs{texttt} or the \isty{alltt} package. +\end{important} +\ifmakedtx{}{\toTop} + +\section{Using a Problem}\label{sec:useproblem} + +Once you have defined a problem using \ienv{defproblem} or +\cs{newproblem} (see +\ifmakedtx{\autoref{sec:defproblem}}{\htmlref{Defining a +Problem}{sec:defproblem}}), you can later display the problem +using: +\DescribeMacro{\useproblem} +\begin{definition} +\csdef{useproblem}\oarg{data set}\marg{label}\marg{arg\ifmakedtx{$_1$}{\HTMLcode{SUB}{1}}}\ldots +\marg{arg\ifmakedtx{$_N$}{\HTMLcode{SUB}{N}}} +\end{definition} +where \meta{data set} is the name of the data set that contains +the problem (the default data set is used if omitted), +\meta{label} is the label identifying the required problem and +\meta{arg\ifmakedtx{$_1$}{\HTMLcode{SUB}{1}}}, \ldots, +\meta{arg\ifmakedtx{$N$}{\HTMLcode{SUB}{N}}} +are the arguments to pass to the problem, if the problem was +defined to have arguments (where \ifmakedtx{$N$}{N} is the number +of arguments specified when the problem was defined). + +For example, in the previous section the problem \texttt{diffcos} +was defined to have one argument, so it can be used as follows: +\begin{verbatim} +\useproblem{diffcos}{3} +\end{verbatim} +This will be equivalent to: +\begin{verbatim} +\(f(x) = \cos(3x)\) +\begin{onlysolution}% +\begin{solution}% +\(f'(x) = -3\sin(3x)\) +\end{solution}% +\end{onlysolution}% +\end{verbatim} +\ifmakedtx{}{\toTop} + +\section{Loading Problems From External Files}\label{sec:load} + +You can store all your problem definitions (see +\ifmakedtx{\autoref{sec:defproblem}}{\htmlref{Defining New +Problems}{sec:defproblem}}) in an external file. +These problems can all be appended to the default data set by +including the file via \ics{input} or they can be appended +to other data sets using one of the commands described below. +Once you have loaded all the required problems, you can +iterate through the data sets using the commands described +in \ifmakedtx{\autoref{sec:foreach}}{\htmlref{Iterating +Through Datasets}{sec:foreach}}. Note that the commands below +will create a new data set, if the named data set doesn't +exist. + +\DescribeMacro{\loadallproblems} +\begin{definition} +\csdef{loadallproblems}\oarg{data set}\marg{filename} +\end{definition} +This will load all problems defined in \meta{filename} and +append them to the specified data set, in the order in which +they are defined in the file. If \meta{data set} is +omitted, the default data set will be used. If \meta{data set} +doesn't exist, it will be created. + +\DescribeMacro{\loadselectedproblems} +\begin{definition} +\csdef{loadselectedproblems}\oarg{data set}\marg{labels}\marg{filename} +\end{definition} +This is like \cs{loadproblems}, but only those problems whose +label is listed in the comma-separated list \meta{labels} are +loaded. For example, if I have some problems defined in the +file \texttt{derivatives.tex}, then +\begin{verbatim} +\loadselectedproblems{diffsin,diffcos}{derivatives} +\end{verbatim} +will only load the problems whose labels are \texttt{diffsin} +and \texttt{diffcos}, respectively. All the other problems in +the file will remain undefined. + +\DescribeMacro{\loadrandomproblems} +\begin{definition} +\csdef{loadrandomproblems}\oarg{data set}\marg{n}\marg{filename} +\end{definition} +This randomly loads \meta{n} problems from \meta{filename} and +adds them to the given data set. If \meta{data set} is omitted, +the default data set is assumed. Note that the problems will be +added to the data set in a random order, not in the order in +which they were defined. There must be at least \meta{n} problems +defined in \meta{filename}. + +\begin{important} +It is generally not a good idea to place anything in +\meta{filename} that is not inside the body of \ienv{defproblem} +or in the arguments to \ics{newproblem} or \ics{newproblem*}. +All the commands in this section input the external file within +a local scope, so commands definitions would need to be made +global to have any effect. In addition, \cs{loadrandomproblems} +has to load each file twice, which means that anything outside +a problem definition will be parsed twice. +\end{important} + +\ifmakedtx{}{\toTop} + +\section{Iterating Through Datasets}\label{sec:foreach} + +Once you have defined all your problems for a given data set, +you can use an individual problem with \ics{useproblem} +(see \ifmakedtx{\autoref{sec:useproblem}}{\htmlref{Using a +Problem}{sec:useproblem}}) but it is more likely that you will +want to iterate through all the problems so that you don't need +to remember the labels of all the problems you have defined. + +\DescribeMacro{\foreachproblem} +\begin{definition} +\csdef{foreachproblem}\oarg{data set}\marg{body} +\end{definition} +This does \meta{body} for each problem in the given data set. +If \meta{data set} is omitted, the default data set is used. +Within \meta{body} you can use +\DescribeMacro{\thisproblem}\cs{thisproblem} to use the +current problem and \DescribeMacro{\thisproblemlabel}\cs{thisproblemlabel} +to access the current label. If the problem requires arguments, +you will be prompted for them, so if you want to use this +approach you will need to use \LaTeX\ in interactive mode. If +you do provide arguments, they will be stored in the event that +you need to iterate through the data set again. The +arguments will be included in \cs{thisproblem}, so you only +need to use \cs{thisproblem} without having to specify +\ics{useproblem}. For example, to iterate through all problems +in the default data set: +\begin{verbatim} +\begin{enumerate} +\foreachproblem{\item\thisproblem} +\end{enumerate} +\end{verbatim} + +\DescribeMacro{\foreachdataset} +\begin{definition} +\csdef{foreachdataset}\marg{cmd}\marg{body} +\end{definition} +This does \meta{body} for each of the defined data sets. Within +\meta{body}, \meta{cmd} will be set to the name of the current +data set. For example, to display all problems in all data sets: +\begin{verbatim} +\begin{enumerate} +\foreachdataset{\thisdataset}{% +\foreachproblem[\thisdataset]{\item\thisproblem}} +\end{enumerate} +\end{verbatim} + +Suppose I have two external files called +\texttt{derivatives.tex} and \texttt{probspaces.tex} which +define problems using both \ienv{onlyproblem} and +\ienv{onlysolution} for example: +\begin{verbatim} +\begin{defproblem}{cosxsqsinx}% +\begin{onlyproblem}% +$y = \cos(x^2)\sin x$.% +\end{onlyproblem}% +\begin{onlysolution}% +\[\frac{dy}{dx} = -\sin(x^2)2x\sin x + \cos(x^2)\cos x\] +\end{onlysolution}% +\end{defproblem} +\end{verbatim} +I can write a document that creates two data sets, one for +the derivative problems and one for the problems about +probability spaces. I can then use \ics{hideanswers} and +iterate through the require data set to produce the problems. +Later, I can use \ics{showanswers} and iterate over all problems defined in both data +sets to produce the chapter containing all the answers. When +displaying the questions, I have taken advantage of the fact that +I can cross-reference items within an \ienv{enumerate} environment, +and redefined \ics{theenumi} to label the questions according to +the chapter. The cross-reference label is constructed from +the problem label and is referenced in the answer section to +ensure that the answers have the same label as the questions. +\begin{verbatim} +\documentclass{report} +\usepackage{probsoln} +\begin{document} +\hideanswers +\chapter{Differentiation} +% randomly select 25 problems from derivatives.tex and add to +% the data set called 'deriv' +\loadrandomproblems[deriv]{25}{derivatives} + +% Display the problems +\renewcommand{\theenumi}{\thechapter.\arabic{enumi}} +\begin{enumerate} +\foreachproblem[deriv]{\item\label{prob:\thisproblemlabel}\thisproblem} +\end{enumerate} +% You may need to change \theenumi back here + +\chapter{Probability Spaces} +% randomly select 25 problems from probspaces.tex and add to +% the data set called 'spaces' +\loadrandomproblems[spaces]{25}{probspaces} + +% Display the problems +\renewcommand{\theenumi}{\thechapter.\arabic{enumi}} +\begin{enumerate} +\foreachproblem[spaces]{\item\label{prob:\thisproblemlabel}\thisproblem} +\end{enumerate} +% You may need to change \theenumi back here + +\appendix + +\chapter{Solutions} +\showanswers +\begin{itemize} +\foreachdataset{\thisdataset}{% +\foreachproblem[\thisdataset]{\item[\ref{prob:\thisproblemlabel}]\thisproblem} +} +\end{itemize} + +\end{document} +\end{verbatim} + +\ifmakedtx{}{\toTop} + +\section{Random Number Generator}\label{sec:random} + +This package provides a pseudo-random number generator that is used +by \ics{loadrandomproblems}. + +\DescribeMacro{\PSNrandseed} +\begin{definition} +\csdef{PSNrandseed}\marg{n} +\end{definition} +This sets the seed to \meta{n} which must be a non-zero integer. +For example, to generate a different set of random numbers +every time you \LaTeX\ your document,\footnote{assuming you +leave at least a minute between runs.} put the following in your +preamble: +\begin{verbatim} +\PSNrandseed{\time} +\end{verbatim} +or to generate a different set of random numbers every year you +\LaTeX\ your document: +\begin{verbatim} +\PSNrandseed{\year} +\end{verbatim} + +\DescribeMacro{\PSNgetrandseed} +\begin{definition} +\csdef{PSNgetrandseed}\marg{register} +\end{definition} +This stores the current seed in the count register specified by +\meta{register}. +For example: +\begin{verbatim} +\newcount\myseed +\PSNgetrandseed{\myseed} +\end{verbatim} + +\DescribeMacro{\PSNrandom} +\begin{definition} +\csdef{PSNrandom}\marg{register}\marg{n} +\end{definition} +Generates a random integer from 1 to \meta{n} and stores in +the count register specified by \meta{register}. For example, +the following generates an integer from 1 to 10 and stores it +in the register \cs{myreg}: +\begin{verbatim} +\newcount\myreg +\PSNrandom{\myreg}{10} +\end{verbatim} + +\DescribeMacro{\random} +\begin{definition} +\csdef{random}\marg{counter}\marg{min}\marg{max} +\end{definition} +Generates a random integer from \meta{min} to \meta{max} and +stores in the given counter. For example, the following generates +a random number between 3 and 8 (inclusive) and stores it in +the counter \texttt{myrand}. +\begin{verbatim} +\newcounter{myrand} +\random{myrand}{3}{8} +\end{verbatim} + +\DescribeMacro{\doforrandN} +\begin{definition} +\csdef{doforrandN}\marg{n}\marg{cmd}\marg{list}\marg{text} +\end{definition} +Randomly selects \meta{n} values from the comma-separated list +given by \meta{list} and iterates through this subset. On +each iteration it sets \meta{cmd} to the current value and +does \meta{text}. For example, the following will load a +randomly selected problem from two of the listed files (where +\texttt{file1.tex}, \texttt{file2.tex} and \texttt{file3.tex} +are files containing at least one problem): +\begin{verbatim} +\doforrandN{2}{\thisfile}{file1,file2,file3}{% +\loadrandomproblems{1}{\thisfile}} +\end{verbatim} + +\ifmakedtx{}{\toTop} + +\section{Compatibility With Versions Prior to 3.0} + +Version 3.0 of the \sty{probsoln} package completely changed the +structure of the package, but the commands described in this +section have been provided to maintain compatibility with +earlier versions. The only problems that are likely to occur are +those where commands are contained within groups. This will +effect any commands that are contained in external files that are +outside of the arguments to \ics{newproblem} and \ics{newproblem*}. +However, since the external files had to be parsed twice in +order to load the problems, this shouldn't be an issue as adding +anything other than problem definitions in those files would +be problematic anyway. + +The other likely difference is where the random generator is +used in a group. This includes commands such as +\ics{selectrandomly}. For example, if your document contained +something like: +\begin{verbatim} +\begin{enumerate} +\selectrandomly{file1}{8} + +\item Solve the following: +\begin{enumerate} +\selectrandomly{file2}{4} +\end{enumerate} + +\selectrandomly{file3}{2} +\end{enumerate} +\end{verbatim} +Then using versions prior to v3.0 will produce a different +set of random numbers since the second \cs{selectrandomly} +is in a different level of grouping. If you want to ensure +that the document produces exactly the same random set with +the new version as with the old version, you will need to +get and set the random number seed. For example, the above +would need to be modified so that it becomes: +\begin{verbatim} +\begin{enumerate} +\selectrandomly{file1}{8} + +\item Solve the following: +\newcount\oldseed +\PSNgetrandseed{\oldseed} +\begin{enumerate} +\selectrandomly{file2}{4} +\end{enumerate} +\PSNrandseed{\oldseed} + +\selectrandomly{file3}{2} +\end{enumerate} +\end{verbatim} + +\DescribeMacro{\selectrandomly} +\begin{definition} +\csdef{selectrandomly}\marg{filename}\marg{n} +\end{definition} +This is now equivalent to: +\begin{ttfamily}\obeylines +\{\cs{loadrandomproblems}\oarg{filename}\marg{n}\marg{filename}\}\% +\cs{foreachproblem}\oarg{filename}\marg{\cs{PSNitem}\cs{thisproblem}\cs{endPSNitem}} +\end{ttfamily} + +\DescribeMacro{\selectallproblems} +\begin{definition} +\csdef{selectallproblems}\marg{filename} +\end{definition} +This is now equivalent to: +\begin{ttfamily}\obeylines +\{\cs{loadallproblems}\oarg{filename}\marg{filename}\}\% +\cs{foreachproblem}\oarg{filename}\marg{\cs{PSNitem}\cs{thisproblem}\cs{endPSNitem}} +\end{ttfamily} + +Note that in both the above cases, a new data set is created +with the same name as the file name. + +\ifmakedtx{}{\toTop} + + \StopEventually{\clearpage\phantomsection\addcontentsline{toc}{section}{Index}\PrintIndex} + +\ifmakedtx{}{\printindex\toTop} +\end{document} diff --git a/Master/texmf-dist/doc/latex/probsoln/probsoln.pdf b/Master/texmf-dist/doc/latex/probsoln/probsoln.pdf Binary files differindex 958fa8996a8..4d5494880fd 100644 --- a/Master/texmf-dist/doc/latex/probsoln/probsoln.pdf +++ b/Master/texmf-dist/doc/latex/probsoln/probsoln.pdf diff --git a/Master/texmf-dist/doc/latex/probsoln/sample.tex b/Master/texmf-dist/doc/latex/probsoln/sample.tex deleted file mode 100644 index 472bd51276c..00000000000 --- a/Master/texmf-dist/doc/latex/probsoln/sample.tex +++ /dev/null @@ -1,35 +0,0 @@ -\documentclass[a4paper]{article} - -\usepackage{probsoln} -%uncomment the following line to display the answers -\showanswers - -% The following will generate a different set of -% problems in subsequent years -\PSNrandseed{\year} - -\begin{document} -\title{Sample Problem Sheet} -\author{Nicola Talbot} -\maketitle - -\begin{enumerate} -% Differentiation from first principles -\selectrandomly{1stprncp}{1} - -\item Differentiate the following functions: -\begin{enumerate} -\selectrandomly{easy}{5} -\end{enumerate} - -% Implicit differentiation -\selectrandomly{implicit}{2} - -% Multiple choice question -\selectrandomly{mchoice}{1} - -% select one essay style question that doesn't come with a solution - -\selectrandomly{nosoln}{1} -\end{enumerate} -\end{document} diff --git a/Master/texmf-dist/doc/latex/probsoln/1stprncp.tex b/Master/texmf-dist/doc/latex/probsoln/samples/1stprncp.tex index f857392a6ef..514abf57763 100644 --- a/Master/texmf-dist/doc/latex/probsoln/1stprncp.tex +++ b/Master/texmf-dist/doc/latex/probsoln/samples/1stprncp.tex @@ -1,4 +1,4 @@ -% These all involve differentiating from 1st principles + % These all involve differentiating from 1st principles \newproblem{dfp:xcube}{% Differentiate $f(x) = x^3$ with respect to $x$ by first principles.}{% diff --git a/Master/texmf-dist/doc/latex/probsoln/args.tex b/Master/texmf-dist/doc/latex/probsoln/samples/args.tex index e3bd7de75ec..77278d86530 100644 --- a/Master/texmf-dist/doc/latex/probsoln/args.tex +++ b/Master/texmf-dist/doc/latex/probsoln/samples/args.tex @@ -1,7 +1,7 @@ -% These problems require arguments + % These problems require arguments -% Arguments: #1->a_2, #2->a_1 and #3->a_0 -% (Arguments must be integers) + % Arguments: #1->a_2, #2->a_1 and #3->a_0 + % (Arguments must be integers) \newcount\ctr \newproblem[3]{diff:quad}{% \(f(x) = @@ -32,7 +32,7 @@ \ifnum#2>0 \ifnum#1=0 \else + \fi \fi #2 \fi -% print 0 if both #1 and #2 are 0 + % print 0 if both #1 and #2 are 0 \ifnum#1=0 \ifnum#2=0 0 \fi\fi \) } diff --git a/Master/texmf-dist/doc/latex/probsoln/easy.tex b/Master/texmf-dist/doc/latex/probsoln/samples/easy.tex index 3106fcfdb9a..0833f7e9527 100644 --- a/Master/texmf-dist/doc/latex/probsoln/easy.tex +++ b/Master/texmf-dist/doc/latex/probsoln/samples/easy.tex @@ -1,4 +1,4 @@ -% These are all easy differentiation problems + % These are all easy differentiation problems \newproblem{diffeasy:gpowh}{% \(f(x) = g(x)^{h(x)}.\)}{% diff --git a/Master/texmf-dist/doc/latex/probsoln/samples/easy2.tex b/Master/texmf-dist/doc/latex/probsoln/samples/easy2.tex new file mode 100644 index 00000000000..9958efcb41c --- /dev/null +++ b/Master/texmf-dist/doc/latex/probsoln/samples/easy2.tex @@ -0,0 +1,135 @@ + % These are all easy differentiation problems + +\begin{defproblem}{diffeasy:gpowh}% +\begin{onlyproblem}% +\(f(x) = g(x)^{h(x)}.\)% +\end{onlyproblem}% +\begin{onlysolution}% +\begin{eqnarray*} +f(x) & = & e^{\ln g(x)^{h(x)}}\\ + & = & e^{h(x)\ln g(x)}\\ +f'(x) & = & e^{h(x)\ln g(x)}(h'(x)\ln g(x) + h(x)\frac{g'(x)}{g(x)})\\ + & = & g(x)^{h(x)}(h'(x)\ln g(x) + \frac{h(x)g'(x)}{g(x)}) +\end{eqnarray*}% +\end{onlysolution}% +\end{defproblem} + +\begin{defproblem}{diffeasy:arcsin}% +\begin{onlyproblem}% +\(y = \arcsin(x)\)% +\end{onlyproblem}% +\begin{onlysolution}% +\[\sin(y) = x\] +diff. w.r.t. $x$: +\begin{eqnarray*} +\cos y \frac{dy}{dx} & = & 1\\ +\frac{dy}{dx} & = & \frac{1}{\cos y}\\ + & = & \frac{1}{\sqrt{1 - \sin^2y}}\\ + & = & \frac{1}{\sqrt{1-x^2}}. +\end{eqnarray*} +\end{onlysolution}% +\end{defproblem} + +\begin{defproblem}{diffeasy:arccos}% +\begin{onlyproblem}% +$y = \arccos x$.% +\end{onlyproblem}% +\begin{onlysolution}% +\(\cos y = x\) +diff. w.r.t. $x$: +\begin{eqnarray*} +-\sin y \frac{dy}{dx} & = & 1\\ +\frac{dy}{dx} & = & \frac{-1}{\sin y}\\ + & = & \frac{-1}{\sqrt{1-\cos^2y}}\\ + & = & \frac{-1}{\sqrt{1-x^2}} +\end{eqnarray*} +\end{onlysolution}% +\end{defproblem} + +\begin{defproblem}{diffeasy:tan}% +\begin{onlyproblem}% +\(y = \tan x\)% +\end{onlyproblem} +\begin{onlysolution}% +\begin{eqnarray*} +y & = & \tan x\\ + & = & \frac{\sin x}{\cos x}\\ +\frac{dy}{dx} & = & \frac{\cos x}{\cos x} + \sin x\times\frac{-1}{\cos^2x}\times -\sin x\\ + & = & 1 + \tan^2x\\ + & = & \sec^2x. +\end{eqnarray*} +\end{onlysolution}% +\end{defproblem} + +\begin{defproblem}{diffeasy:arctan}% +\begin{onlyproblem}% +\(y = \arctan x = \tan^{-1}x\)% +\end{onlyproblem}% +\begin{onlysolution}% +\[\tan y = x\] +diff w.r.t. $x$: +\begin{eqnarray*} +\sec^2y\frac{dy}{dx} & = & 1\\ +\frac{dy}{dx} & = & \frac{1}{\sec^2y}\\ + & = & \frac{1}{1+\tan^2y}\\ + & = & \frac{1}{1+x^2} +\end{eqnarray*} +\end{onlysolution}% +\end{defproblem} + +\begin{defproblem}{diffeasy:cot}% +\begin{onlyproblem}% +\(y = (\tan x)^{-1} = \cot x\)% +\end{onlyproblem} +\begin{onlysolution}% +\begin{eqnarray*} +\frac{dy}{dx} & = & -(\tan x)^{-2}\sec^2x\\ + & = & -\frac{\cos^2x}{\sin^2x}\cdot\frac{1}{\cos^2x}\\ + & = & \frac{-1}{\sin^2x}\\ + & = & -\csc^2x. +\end{eqnarray*} +\end{onlysolution}% +\end{defproblem} + +\begin{defproblem}{diffeasy:cosxsqsinx}% +\begin{onlyproblem}% +$y = \cos(x^2)\sin x$.% +\end{onlyproblem}% +\begin{onlysolution}% +\[\frac{dy}{dx} = -\sin(x^2)2x\sin x + \cos(x^2)\cos x\] +\end{onlysolution}% +\end{defproblem} + +\begin{defproblem}{diffeasy:xlnx}% +\begin{onlyproblem}% +$y = (x+1)\ln(x+1)$. +\end{onlyproblem}% +\begin{onlysolution}% +\begin{eqnarray*} +\frac{dy}{dx} & = & \ln(x+1) + \frac{x+1}{x+1}\\ + & = & 1 + \ln(x+1). +\end{eqnarray*} +\end{onlysolution} +\end{defproblem} + +\begin{defproblem}{diffeasy:glng}% +\begin{onlyproblem}% +$f(x) = g(x)\ln(g(x))$. +\end{onlyproblem} +\begin{onlysolution}% +\begin{eqnarray*} +f'(x) & = & g'(x)\ln(g(x)) + \frac{g(x)}{g(x)}g'(x)\\ + & = & g'(x)(1+\ln(g(x))). +\end{eqnarray*} +\end{onlysolution}% +\end{defproblem} + +\begin{defproblem}{diffeasy:sinx/x} +\begin{onlyproblem}% +$y = \frac{\sin x}{x}$. +\end{onlyproblem} +\begin{onlysolution}% +\[\frac{dy}{dx} = \frac{\cos x}{x} - \frac{\sin x}{x^2}\] +\end{onlysolution}% +\end{defproblem} + diff --git a/Master/texmf-dist/doc/latex/probsoln/implicit.tex b/Master/texmf-dist/doc/latex/probsoln/samples/implicit.tex index 00453df3045..7f37fe0041f 100644 --- a/Master/texmf-dist/doc/latex/probsoln/implicit.tex +++ b/Master/texmf-dist/doc/latex/probsoln/samples/implicit.tex @@ -1,4 +1,4 @@ -% These are all implicit differentiation problems + % These are all implicit differentiation problems \newproblem{imd:circ}{% Find the gradient of the unit circle ($x^2 + y^2 = 1$).}{% diff --git a/Master/texmf-dist/doc/latex/probsoln/mchoice.tex b/Master/texmf-dist/doc/latex/probsoln/samples/mchoice.tex index 7add557a680..7add557a680 100644 --- a/Master/texmf-dist/doc/latex/probsoln/mchoice.tex +++ b/Master/texmf-dist/doc/latex/probsoln/samples/mchoice.tex diff --git a/Master/texmf-dist/doc/latex/probsoln/samples/newdata.tex b/Master/texmf-dist/doc/latex/probsoln/samples/newdata.tex new file mode 100644 index 00000000000..82179a34ef0 --- /dev/null +++ b/Master/texmf-dist/doc/latex/probsoln/samples/newdata.tex @@ -0,0 +1,26 @@ +\begin{defproblem}{sample} +\begin{onlyproblem} +Differentiate $y=\sin x$ +\end{onlyproblem} +\begin{onlysolution} +$y'=\cos x$ +\end{onlysolution} +\end{defproblem} + +\begin{defproblem}[1]{sample2} +\begin{onlyproblem} +Differentiate $y = \sin(#1x)$ +\end{onlyproblem} +\begin{onlysolution} +$y'=#1\cos #1x$ +\end{onlysolution} +\end{defproblem} + +\begin{defproblem}{sample3} +\begin{onlyproblem} +Differentiate $y = x^2$. +\end{onlyproblem} +\begin{onlysolution} +$y' = 2x$ +\end{onlysolution} +\end{defproblem} diff --git a/Master/texmf-dist/doc/latex/probsoln/nosoln.tex b/Master/texmf-dist/doc/latex/probsoln/samples/nosoln.tex index 322701f965c..96ea6438aaa 100644 --- a/Master/texmf-dist/doc/latex/probsoln/nosoln.tex +++ b/Master/texmf-dist/doc/latex/probsoln/samples/nosoln.tex @@ -1,4 +1,4 @@ -% these problems don't have solutions + % these problems don't have solutions \newproblem*{oop}{Describe what is meant by object-oriented programming.} diff --git a/Master/texmf-dist/doc/latex/probsoln/samples/probspaces.tex b/Master/texmf-dist/doc/latex/probsoln/samples/probspaces.tex new file mode 100644 index 00000000000..48f7c3c53d8 --- /dev/null +++ b/Master/texmf-dist/doc/latex/probsoln/samples/probspaces.tex @@ -0,0 +1,31 @@ + % Finite probability spaces +\newproblem{weightedcoin}{% +A coin is weighted so that heads is four times as likely +as tails. Find the probability that: +\begin{textenum} +\item tails appears, +\item heads appears +\end{textenum}}{% +Let $p=P(T)$, then $P(H)=4p$. We require $P(H)+P(T)=1$, +so $4p+p=1$, hence $p=\frac{1}{5}$. Therefore: +\begin{textenum} +\item $P(T)=\frac{1}{5}$, +\item $P(H)=\frac{4}{5}$ +\end{textenum}} + +\newproblem*{validprobspaces}{% +Under which of the following functions does +$S=\{a_1,a_2\}$ become a probability space? +\par +\begin{textenum} +\begin{tabular}{ll} +\incorrectitem $P(a_1)=\frac{1}{3}$, $P(a_2)=\frac{1}{2}$ +& +\correctitem $P(a_1)=\frac{3}{4}$, $P(a_2)=\frac{1}{4}$ +\\ +\correctitem $P(a_1)=1$, $P(a_2)=0$ +& +\incorrectitem $P(a_1)=\frac{5}{4}$, $P(a_2)=-\frac{1}{4}$ +\end{tabular} +\end{textenum} +} diff --git a/Master/texmf-dist/doc/latex/probsoln/samples/probspaces2.tex b/Master/texmf-dist/doc/latex/probsoln/samples/probspaces2.tex new file mode 100644 index 00000000000..26839b65293 --- /dev/null +++ b/Master/texmf-dist/doc/latex/probsoln/samples/probspaces2.tex @@ -0,0 +1,41 @@ + % Finite probability spaces +\begin{defproblem}{weightedcoin} +\begin{onlyproblem}% +A coin is weighted so that heads is four times as likely +as tails. Find the probability that: +\begin{textenum} +\item tails appears, +\item heads appears +\end{textenum} +\end{onlyproblem} +\begin{onlysolution}% +Let $p=P(T)$, then $P(H)=4p$. We require $P(H)+P(T)=1$, +so $4p+p=1$, hence $p=\frac{1}{5}$. Therefore: +\begin{textenum} +\item $P(T)=\frac{1}{5}$, +\item $P(H)=\frac{4}{5}$ +\end{textenum} +\end{onlysolution} +\end{defproblem} + +\begin{defproblem}{validprobspaces} +\begin{onlyproblem}% +Under which of the following functions does +$S=\{a_1,a_2\}$ become a probability space? +\par +\begin{textenum} +\begin{tabular}{ll} +\item $P(a_1)=\frac{1}{3}$, $P(a_2)=\frac{1}{2}$ +& +\item\label{validprobspacescorrect1} $P(a_1)=\frac{3}{4}$, $P(a_2)=\frac{1}{4}$ +\\ +\item\label{validprobspacescorrect2} $P(a_1)=1$, $P(a_2)=0$ +& +\item $P(a_1)=\frac{5}{4}$, $P(a_2)=-\frac{1}{4}$ +\end{tabular} +\end{textenum} +\end{onlyproblem}% +\begin{onlysolution}% +\ref{validprobspacescorrect1} and \ref{validprobspacescorrect2}% +\end{onlysolution} +\end{defproblem} diff --git a/Master/texmf-dist/doc/latex/probsoln/samples/sample.tex b/Master/texmf-dist/doc/latex/probsoln/samples/sample.tex new file mode 100644 index 00000000000..e80c8dff020 --- /dev/null +++ b/Master/texmf-dist/doc/latex/probsoln/samples/sample.tex @@ -0,0 +1,42 @@ +\documentclass[a4paper]{article} + +\usepackage{probsoln} + %uncomment the following line to display the answers +\showanswers + + % The following will generate a different set of + % problems in subsequent years + %\PSNrandseed{\year} +\PSNrandseed{2007} + +\begin{document} +\title{Sample Problem Sheet} +\author{Nicola Talbot} +\maketitle + +\begin{enumerate} + % Differentiation from first principles +\selectrandomly{1stprncp}{1} + +\item Differentiate the following functions: +\newcount\oldseed +\PSNgetrandseed\oldseed +\begin{enumerate} +\selectrandomly{easy}{5} +\end{enumerate} +\PSNrandseed\oldseed + + % Implicit differentiation +\selectrandomly{implicit}{2} + + % Finite probability spaces +\selectrandomly{probspaces}{2} + + % Multiple choice question +\selectrandomly{mchoice}{1} + + % select one essay style question that doesn't come with a solution + +\selectrandomly{nosoln}{1} +\end{enumerate} +\end{document} diff --git a/Master/texmf-dist/doc/latex/probsoln/sample2.tex b/Master/texmf-dist/doc/latex/probsoln/samples/sample2.tex index abc7c0d7bd3..e82656c9f3a 100644 --- a/Master/texmf-dist/doc/latex/probsoln/sample2.tex +++ b/Master/texmf-dist/doc/latex/probsoln/samples/sample2.tex @@ -1,16 +1,16 @@ \documentclass[a4paper]{article} \usepackage{probsoln} -%uncomment the following line to display the answers + %uncomment the following line to display the answers \showanswers -% The following will generate a different set of -% problems in subsequent years -%\PSNrandseed{\year} + % The following will generate a different set of + % problems in subsequent years + %\PSNrandseed{\year} -% The following will generate a different set of -% problems on every run (where each run is at -% least a minute apart from the previous one) + % The following will generate a different set of + % problems on every run (where each run is at + % least a minute apart from the previous one) \PSNrandseed{\time} \begin{document} @@ -21,10 +21,10 @@ \begin{enumerate} \newcounter{numproblems} -% store a random number from 1 to 3 in the counter numproblems + % store a random number from 1 to 3 in the counter numproblems \random{numproblems}{1}{3} -% selects 1,2 or 3 problems from 1 of the given files: + % selects 1,2 or 3 problems from 1 of the given files: \doforrandN{1}{\file}{1stprncp,implicit}{\selectrandomly{\file}{\value{numproblems}}} \item Differentiate the following functions: @@ -39,7 +39,7 @@ \item \useproblem{diff:quad}{\arabic{A}}{\arabic{B}}{\arabic{C}} \random{A}{-5}{5} -% make sure its not 0 + % make sure its not 0 \whiledo{\value{A}=0}{\random{A}{-5}{5}} \item \useproblem{diff:sin}{\arabic{A}} \end{enumerate} diff --git a/Master/texmf-dist/doc/latex/probsoln/sample3.tex b/Master/texmf-dist/doc/latex/probsoln/samples/sample3.tex index 0a605526fcf..35252593b33 100644 --- a/Master/texmf-dist/doc/latex/probsoln/sample3.tex +++ b/Master/texmf-dist/doc/latex/probsoln/samples/sample3.tex @@ -3,7 +3,7 @@ \usepackage{longtable} \usepackage{probsoln} -%\showanswers + %\showanswers \newcounter{problem} \renewcommand{\PSNitem}{\refstepcounter{problem}% diff --git a/Master/texmf-dist/doc/latex/probsoln/sample4.tex b/Master/texmf-dist/doc/latex/probsoln/samples/sample4.tex index 798214cfbd1..f82eef21182 100644 --- a/Master/texmf-dist/doc/latex/probsoln/sample4.tex +++ b/Master/texmf-dist/doc/latex/probsoln/samples/sample4.tex @@ -2,9 +2,9 @@ \usepackage{probsoln} -% Sample file illustrating use of \selectallproblems -% All problems defined in specified file will be used -% in order of definition + % Sample file illustrating use of \selectallproblems + % All problems defined in specified file will be used + % in order of definition \showanswers diff --git a/Master/texmf-dist/doc/latex/probsoln/samples/sample5.tex b/Master/texmf-dist/doc/latex/probsoln/samples/sample5.tex new file mode 100644 index 00000000000..531170b1d6d --- /dev/null +++ b/Master/texmf-dist/doc/latex/probsoln/samples/sample5.tex @@ -0,0 +1,34 @@ +\documentclass[a4paper]{report} + +\usepackage{probsoln} + +\begin{document} + +\hideanswers + +\chapter{Easy Problems} +\loadrandomproblems[easyproblems]{5}{easy2} + +\renewcommand{\theenumi}{\thechapter.\arabic{enumi}} +\begin{enumerate} +\foreachproblem[easyproblems]{\item\label{prob:\thisproblemlabel}\thisproblem} +\end{enumerate} + +\chapter{Probability Spaces} +\loadrandomproblems[probspaces]{2}{probspaces2} + +\renewcommand{\theenumi}{\thechapter.\arabic{enumi}} +\begin{enumerate} +\foreachproblem[probspaces]{\item\label{prob:\thisproblemlabel}\thisproblem} +\end{enumerate} + +\appendix +\chapter{Solutions} +\showanswers +\begin{enumerate} +\foreachdataset{\thisdataset}{% +\foreachproblem[\thisdataset]{\item[\ref{prob:\thisproblemlabel}]\thisproblem} +} +\end{enumerate} + +\end{document} diff --git a/Master/texmf-dist/doc/latex/probsoln/tabmchoice.tex b/Master/texmf-dist/doc/latex/probsoln/samples/tabmchoice.tex index 055affdb944..39cd1f10e41 100644 --- a/Master/texmf-dist/doc/latex/probsoln/tabmchoice.tex +++ b/Master/texmf-dist/doc/latex/probsoln/samples/tabmchoice.tex @@ -1,13 +1,13 @@ -% These problems are designed to be placed in a -% tabular environment -% + % These problems are designed to be placed in a + % tabular environment + % \newproblem{tab:1}{% What is $(3+2)\times5$? & 25 \ifshowanswers\selected\else\notselected\fi & 13 \notselected & 10 \notselected & }{Brackets come first}% -% + \newproblem{tab:2}{% What is $-1+2\times3$? & 3 \notselected & diff --git a/Master/texmf-dist/source/latex/probsoln/probsoln.dtx b/Master/texmf-dist/source/latex/probsoln/probsoln.dtx index b15dc024005..a92e37f6598 100644 --- a/Master/texmf-dist/source/latex/probsoln/probsoln.dtx +++ b/Master/texmf-dist/source/latex/probsoln/probsoln.dtx @@ -1,12 +1,16 @@ %\iffalse % probsoln.dtx generated using makedtx version 0.94b (c) Nicola Talbot % Command line args: -% -src "(.+)\.(sty)=>\1.\2" -% -doc "manual.tex" +% -macrocode ".*\.tex" +% -setambles ".*\.tex=>\nopreamble\nopostamble" +% -comment ".*\.tex" +% -src "(.+\.sty)\Z=>\1" +% -src "(.+\.tex)\Z=>\1" +% -doc "probsoln-manual.tex" % -author "Nicola Talbot" % -dir "source" % probsoln -% Created on 2007/8/21 16:58 +% Created on 2008/8/27 14:19 %\fi %\iffalse %<*package> @@ -29,49 +33,96 @@ %\fi % \iffalse % Doc-Source file to use with LaTeX2e -% Copyright (C) 2007 Nicola Talbot, all rights reserved. +% Copyright (C) 2008 Nicola Talbot, all rights reserved. % \fi % \iffalse %<*driver> -\documentclass{ltxdoc} +\documentclass[a4paper]{ltxdoc} \usepackage[colorlinks, bookmarks, hyperindex=false, - pdfauthor=Nicola Talbot, - pdftitle={probsoln.sty : a LaTeX2e package to help create problem sheets}]{hyperref} + pdfauthor={Nicola L.C. Talbot}, + pdftitle={probsoln: creating problem sheets optionally with solutions}]{hyperref} +\usepackage{color} +\usepackage{probsoln} +\RecordChanges +\PageIndex +\CheckSum{886} -\newcommand{\sty}[1]{\textsf{#1}}\newcommand{\env}[1]{\textsf{#1}} -\newcommand{\cmddef}[1]{\hypertarget{#1}{\cmdname{#1}}} -\newcommand{\cmdlink}[1]{\hyperlink{#1}{\cmdname{#1}}} -\newcommand{\problabel}[2]{\hypertarget{#1}{\texttt{#2}}} -\newcommand{\probref}[1]{\hyperlink{#1}{\texttt{#1}}} -\newcommand{\cmdname}[1]{\cs{#1}} - %hyperindex conflicts with doc - %(end up with |usage|hyperpage in indexentry) \renewcommand{\usage}[1]{\textit{\hyperpage{#1}}} \renewcommand{\main}[1]{\hyperpage{#1}} \newcommand{\see}[2]{\emph{see} #1} \makeatletter \def\index@prologue{\section*{Index}} \makeatother -\CheckSum{499} -\OnlyDescription +\CodelineNumbered +\newcommand{\dq}[1]{``#1''} +\definecolor{defbackground}{rgb}{0.8,1,1} + +\newsavebox\defsbox +\newlength\defwidth +\newenvironment{definition}{% +\setlength{\fboxsep}{4pt}\setlength{\fboxrule}{1.25pt}% +\begin{lrbox}{\defsbox}% +\setlength\defwidth\linewidth +\addtolength\defwidth{-2\fboxrule}% +\addtolength\defwidth{-2\fboxsep}% +\begin{minipage}{\defwidth}\flushleft +}{% +\end{minipage} +\end{lrbox}% +\vskip10pt +\noindent +\fcolorbox{black}{defbackground}{\usebox\defsbox}% +\vskip10pt +} + +\newlength\boxlength +\newsavebox\importantbox +\newenvironment{important}{% +\setlength{\fboxrule}{4pt}% +\setlength\boxlength{\linewidth}% +\addtolength\boxlength{-2\fboxsep}% +\addtolength\boxlength{-2\fboxrule}% +\begin{lrbox}{\importantbox}% +\begin{minipage}{\boxlength}% +}{\end{minipage}\end{lrbox}% +\par\vskip10pt\noindent +\fcolorbox{red}{white}{\usebox{\importantbox}}\par\vskip10pt} -\PageIndex -\begin{document} -\DocInput{probsoln.dtx} +\newcommand*{\ics}[1]{\cs{#1}\SpecialMainIndex{#1}} + +\newcommand{\pkgopt}[1]{\textsf{#1}\index{package options>#1=\textsf{#1}|hyperpage}} +\newcommand*{\sty}[1]{\textsf{#1}} +\newcommand*{\isty}[1]{\sty{#1}\index{#1 package=\sty{#1} package|hyperpage}} +\newcommand*{\env}[1]{\textsf{#1}} +\newcommand{\ienv}[1]{\env{#1}\index{#1 environment=\env{#1} environment|hyperpage}} +\newcommand*{\bool}[1]{\textsf{#1}\index{#1 boolean variable=\textsf{#1} boolean variable|hyperpage}} +\newcommand{\csdef}[1]{\cs{#1}} + + +\begin{document}\DocInput{probsoln.dtx} \end{document} %</driver> %\fi -% \title{probsoln.sty v2.04: \LaTeXe\ Package to help create problem sheets} -% \author{Nicola L.C. Talbot} -% \date{21st August 2007} +%\MakeShortVerb{"} +%\DeleteShortVerb{\|} +% +% \title{probsoln v3.0: creating problem sheets optionally with solutions} +% \author{Nicola L.C. Talbot\\[10pt] +%School of Computing Sciences\\ +%University of East Anglia\\ +%Norwich. Norfolk\\ +%NR4 7TJ. United Kingdom.\\ +%\url{http://theoval.cmp.uea.ac.uk/~nlct/}} +% +% \date{26th August 2008} % \maketitle -% \tableofcontents +%\tableofcontents % % \section{Introduction} %The \sty{probsoln} package is designed for teachers or @@ -91,466 +142,635 @@ %printed. In this way, one file can either produce the %student's version or the teacher's version. % -%\section{Package Options} +%\section{Package Options}\label{sec:pkgopt} %The following options may be passed to this package: -%\begin{center} -%\begin{tabular}{@{\ttfamily}ll} -%answers & Show the answers\\ -%noanswers & Don't show the answers (default) -%\end{tabular} -%\end{center} -% -%\section{Creating a New Problem} -%\DescribeMacro{\newproblem} -%\cmddef{newproblem}\verb|[|\meta{nargs}\verb/]{/\meta{label}\verb!}{!\meta{problem}\verb+}{+\meta{solution}\verb=}=\\[10pt] -%A new problem is defined using the command -%\cmdname{newproblem}. This does not print anything, -%but merely stores the problem. As from version 2.03, there is also -%a starred version of this command for problems without a solution -%(for example, essay style questions):\\[10pt] -%\DescribeMacro{\newproblem*} -%\cmddef{newproblem*}\verb|[|\meta{nargs}\verb/]{/\meta{label}\verb!}{!\meta{problem}\verb+}+\\[10pt] -%The argument \meta{label} is -%a unique string that is assigned to this problem so that it -%can be used later. The argument \meta{problem} is normal -%\LaTeX\ code that should be used to typeset the problem. -%The argument \meta{solution} is normal \LaTeX\ code that -%should be used to typeset the solution, if required. For -%example, the following defines a problem with the label -%\problabel{quaddiff}{quaddiff}: +%\begin{description} +%\item[\pkgopt{answers}] Show the answers +%\item[\pkgopt{noanswers}] Don't show the answers (default) +%\item[\pkgopt{draft}] Display the label and dataset name when a problem is used +%\item[\pkgopt{final}] Don't display label and dataset name when a problem is used +%\end{description} +% +%\section{Showing and Hiding Solutions}\label{sec:showanswers} +% +%In addition to the \pkgopt{answers} and \pkgopt{noanswers} package +%options, it is also possible to show or suppress the solutions +%using \DescribeMacro{\showanswers}\cs{showanswers} and +%\DescribeMacro{\hideanswers}\cs{hideanswers}, respectively. +%The boolean variable \bool{showanswers} determines whether the +%answers should be displayed. You can use this value with the +%\isty{ifthen} package to specify different text depending on +%whether the solutions should be displayed. For example: +%\begin{verbatim} +%Assignment 1\ifthenelse{\boolean{showanswers}}{ (Solution Sheet)}{} +%\end{verbatim} +%Alternatively you can use \ics{ifshowanswers}\ldots\cs{else}\ldots +%\cs{fi}: +%\begin{verbatim} +%Assignment 1\ifshowanswers\space (Solution Sheet)\fi +%\end{verbatim} +% +%For longer passages, you can use the environments \DescribeEnv{onlyproblem}\env{onlyproblem} +%and \DescribeEnv{onlysolution}\env{onlysolution}. For example: +%\begin{verbatim} +%\begin{onlyproblem}% +%What is the derivative of $f(x) = x^2$? +%\end{onlyproblem}% +%\begin{onlysolution}% +%$f'(x) = 2x$ +%\end{onlysolution} +%\end{verbatim} +%The above will only display the question if \bool{showanswers} +%is false and will only display the solution if \bool{showanswers} +%is true. If you want the question to appear in the answer +%sheet as well as the solution, then don't put the question in +%the \env{onlyproblem} environment: %\begin{verbatim} -% \newproblem{quaddiff}{% -% %This is the problem -% \begin{displaymath} -% f(x) = x^2 + 3x + 4 -% \end{displaymath} -% }{% -% %This is the solution -% \begin{displaymath} -% f'(x) = 2x + 3 -% \end{displaymath} -% } +%What is the derivative of $f(x) = x^2$? +%\begin{onlysolution}% +%Solution: $f'(x) = 2x$ +%\end{onlysolution} %\end{verbatim} -%The following is an essay question, so doesn't come with a solution: +%\begin{important} +%You can't use verbatim text in the body of the +%\ienv{onlyproblem} or \ienv{onlysolution} environments. +%If you need verbatim-like text, then try packages such as +%\isty{alltt}. Remember that you also can't use verbatim +%text in command arguments. +%\end{important} +% +%\section{General Formatting Commands}\label{sec:formatting} +% +%The commands and environments described in this section are +%provided to assist formatting problems and their solutions. +%\DescribeEnv{solution} +%\begin{definition} +%\verb|\begin{solution}|\meta{text}\verb|\end{solution}| +%\end{definition} +%This is equivalent to +%\verb|\par\noindent\textbf{\solutionname}:|\meta{text} +%where \DescribeMacro{\solutionname}\cs{solutionname} defaults +%to \dq{Solution}. Note that you must place the \env{solution} +%environment inside the \ienv{onlysolution} environment or +%between \ics{ifshowanswers}\ldots\cs{fi} to ensure that it +%is suppressed when the solutions are not wanted. (See +%\autoref{sec:showanswers}.) +% +% +%Note that the \sty{probsoln} package will only define the +%\env{solution} environment if it is not already defined. +% +%\DescribeEnv{textenum} +%\begin{definition} +%\verb|\begin{textenum}|\ldots\verb|\end{textenum}| +%\end{definition} +%The \env{textenum} environment is like the \ienv{enumerate} +%environment but is in-line. It uses the same counter that the +%\env{enumerate} environment would use at that level so the +%question can be compact but the answer can use \env{enumerate} +%instead. For example: %\begin{verbatim} -%\newproblem*{inheritance}{Describe what is meant by the term -%\emph{inheritance} in object-oriented programming. Use examples.} +%\begin{onlyproblem}% +%Differentiate the following: +%\begin{textenum} +%\item $f(x)=2^x$; +%\item $f(x)=\cot(x)$ +%\end{textenum} +%\end{onlyproblem} +%\begin{onlysolution} +%\begin{enumerate} +%\item +%\begin{align*} +%f(x) &= 2^x = \exp(\ln(x^2)) =\exp(2\ln(x))\\ +%f'(x) &= \exp(2\ln(x))\times \frac{2}{x}\\ +% &= f(x)\frac{2}{x} +%\end{align*} +%\item +%\begin{align*} +%f(x) &= \cot(x) = (\tan(x))^{-2}\\ +%f'(x) &= -(\tan(x))^{-2}\times\sec^2(x)\\ +%&=-\csc^2x +%\end{align*} +%\end{enumerate} +%\end{onlysolution} %\end{verbatim} +%In this example, the items in the question are brief, so an +%\ienv{enumerate} environment would result in a lot of +%unnecessary white space, +%but the answers require more space, so an \env{enumerate} +%environment is more appropriate. Since the \ienv{textenum} +%environment uses the same counters as the \env{enumerate} +%environment, the question and answer sheets use consistent +%labelling. Note that there are other packages available on +%CTAN that you can use to create in-line lists. Check the +%\href{http://www.tex.ac.uk/tex-archive/help/Catalogue/bytopic.html\#enumeration}{TeX Catalogue} for +%further details. % -%The optional argument \meta{nargs} specifies the number of -%parameters this problem will take. By default this value is -%0, but any value from 1 to 9 may be used. Each parameter is -%referred to by \verb|#1|, \verb/#2/, \ldots, \verb!#9!. -%For example, the following problem, labelled \problabel{sindiff}{sindiff}, -%takes one parameter: +%\DescribeMacro{\correctitem}\DescribeMacro{\incorrectitem} +%\begin{definition} +%\csdef{correctitem}\\ +%\csdef{incorrectitem} +%\end{definition} +%You can use the commands \cs{correctitem} and \cs{incorrectitem} +%in place of \ics{item}. If the solutions are suppressed, these +%commands behave in the same way as \cs{item}, otherwise they +%format the item label using one of the commands: +%\DescribeMacro{\correctitemformat}\DescribeMacro{\incorrectitemformat} +%\begin{definition} +%\csdef{correctitemformat}\marg{label}\\ +%\csdef{incorrectitemformat}\marg{label} +%\end{definition} +%For example: %\begin{verbatim} -%\newproblem[1]{sindiff}{% +%Under which of the following functions does $S=\{a_1,a_2\}$ +%become a probability space? +%\begin{enumerate} +%\incorrectitem $P(a_1)=\frac{1}{3}$, $P(a_2)=\frac{1}{2}$ +%\correctitem $P(a_1)=\frac{3}{4}$, $P(a_2)=\frac{1}{4}$ +%\correctitem $P(a_1)=1$, $P(a_2)=0$ +%\incorrectitem $P(a_1)=\frac{5}{4}$, $P(a_2)=-\frac{1}{4}$ +%\end{enumerate} +%\end{verbatim} +% +%\section{Defining a Problem}\label{sec:defproblem} +% +%It is possible to construct a problem sheet with solutions using +%the commands described in the previous sections, however it is +%also possible to define a set of problems for later use. In this +%way you can create an external file containing many problems some +%or all of which can be loaded and used in a document. The +%\sty{probsoln} package has a default data set labelled +%\dq{default} in which you can store problems or you can create +%multiple data sets. You can then iterate through each problem +%in a problem set. You can use a previously defined problem more +%than once, which means that by judicious use of \ienv{onlyproblem}, +%\ienv{onlysolution} or the \bool{showanswers} boolean variable +%in conjunction with \ics{showanswers} and \ics{hideanswers}, +%you can print the solutions in a different location to the +%questions (for example in an appendix). +% +%\DescribeEnv{defproblem} +%\begin{definition} +%\verb|\begin{defproblem}|\oarg{n}\marg{label}\meta{definition}\verb|\end{defproblem}| +%\end{definition} +%This defines the problem whose label is given by \meta{label}. +%The label must be unique for a given data set and should not +%contain active characters. (Active characters include the special +%characters such as \$ and \&, but some packages may make other +%symbols active. For example, the \isty{ngerman} and \isty{babel} +%packages make certain punctuation active. Check the relevant +%package documentation for details.) +% +%If \env{defproblem} occurs in the document or is included via +%\cs{input} or \cs{include}, then the problem will be added to +%the default data set. If \env{defproblem} occurs in an external +%file that is loaded using one of the commands defined in +%\autoref{sec:load} then the problem will be added to +%the specified data set. +% +%The contents of the \env{defproblem} environment should be the +%text that defines the problem. This may include any of the +%commands defined in +%\autoref{sec:showanswers} and \autoref{sec:formatting}. +% +%The problem may optionally take \meta{n} arguments (where +%\meta{n} is from 0 to 9). The arguments can be referenced +%in the definition via \texttt{\#1},\ldots,\texttt{\#9}. +%If \meta{n} is omitted then the problem doesn't take any +%arguments. +%The following example defines a problem with one argument: +%\begin{verbatim} +%\begin{defproblem}[1]{diffsin} +%Differentiate $f(x)=\sin(#1x)$. +%\begin{onlysolution}% +%\begin{solution} +%$f'(x) = #1\cos(#1x)$ +%\end{solution} +%\end{onlysolution} +%\end{defproblem} +%\end{verbatim} +% +%\DescribeMacro{\newproblem} +%\begin{definition} +%\csdef{newproblem}\oarg{n}\marg{label}\marg{problem}\marg{solution} +%\end{definition} +%This is a shortcut command for: +%\begin{ttfamily}\obeylines +%\cs{begin}\{defproblem\}\oarg{n}\marg{label}\% +%\meta{problem}\% +%\cs{begin}\{onlysolution\}\% +%\cs{begin}\{solution\}\% +%\meta{solution}\% +%\cs{end}\{solution\}\% +%\cs{end}\{onlysolution\}\% +%\cs{end}\{defproblem\} +%\end{ttfamily} +%For example: +%\begin{verbatim} +%\newproblem[1]{diffsin}{% %\(f(x) = \sin(#1x)\) %}{% %\(f'(x) = #1\cos(#1x)\) %} %\end{verbatim} +%is equivalent to +%\begin{verbatim} +%\begin{defproblem}[1]{diffcos}% +%\(f(x) = \cos(#1x)\) +%\begin{onlysolution}% +%\begin{solution}% +%\(f'(x) = -#1\sin(#1x)\) +%\end{solution}% +%\end{onlysolution}% +%\end{defproblem} +%\end{verbatim} +%(In this example, the argument will need to be a positive number +%to avoid a double minus in the answer. If you want to perform +%floating point arithmetic on the arguments, then try the +%\isty{fp} package.) +% +%\DescribeMacro{\newproblem*} +%\begin{definition} +%\csdef{newproblem*}\oarg{n}\marg{label}\marg{definition} +%\end{definition} +%This is a shortcut for: +%\begin{ttfamily}\obeylines +%\cs{begin}\{defproblem\}\oarg{n}\marg{label}\% +%\meta{definition}\% +%\cs{end}\{defproblem\} +%\end{ttfamily} +% +%\begin{important} +%Verbatim text must not be used in the contents of \ienv{defproblem} +%or in any of the arguments to \cs{newproblem} or +%\cs{newproblem*}. If you need verbatim-like text consider using +%\cs{texttt} or the \isty{alltt} package. +%\end{important} +% +%\section{Using a Problem}\label{sec:useproblem} % -%The \probref{quaddiff} problem shown above can be made more -%generic by using parameters\problabel{diff:quad}{}: +%Once you have defined a problem using \ienv{defproblem} or +%\cs{newproblem} (see +%\autoref{sec:defproblem}), you can later display the problem +%using: +%\DescribeMacro{\useproblem} +%\begin{definition} +%\csdef{useproblem}\oarg{data set}\marg{label}\marg{arg$_1$}\ldots\marg{arg$_N$}\end{definition} +%where \meta{data set} is the name of the data set that contains +%the problem (the default data set is used if omitted), +%\meta{label} is the label identifying the required problem and +%\meta{arg$_1$}, \ldots, \meta{arg$N$} are the arguments to pass to the problem, if the problem was +%defined to have arguments (where $N$ is the number of arguments specified when the problem was defined). +% +%For example, in the previous section the problem \texttt{diffcos} +%was defined to have one argument, so it can be used as follows: %\begin{verbatim} -%\newcount\ctr -%\newproblem[3]{diff:quad}{% -%\(f(x) = -%\ifnum#1=0 -%\else -%\ifnum#1=1\else#1\fi x^2 -%\fi -%\ifnum#2=0 -%\else -%\ifnum#2>0 \ifnum#1=0 \else + \fi \fi -%\ifnum#2=1\else#2\fi x -%\fi -%\ifnum#3=0 -%\else -%\ifnum#3>0 \ifnum#2=0 \ifnum#1=0 \else + \fi \else + \fi\fi -%#3 -%\fi\) -%}{% -%\(f'(x) = -%\ifnum#1=0 -%\else -%\ctr=2 -%\multiply\ctr by #1 -%\the\ctr x -%\fi -%\ifnum#2=0 -%\else -%\ifnum#2>0 \ifnum#1=0 \else + \fi \fi -%#2 -%\fi -% % print 0 if both #1 and #2 are 0 -%\ifnum#1=0 \ifnum#2=0 0 \fi\fi -%\) -%} +%\useproblem{diffcos}{3} %\end{verbatim} -%The three parameters correspond to the coefficients. Note -%that they must all be integers since \TeX\ only performs -%integer arithmetic. -% -%\section{Creating a Database} -% -%To generate a database, simply create a \texttt{.tex} file -%where all the problems are defined using \cmdlink{newproblem} or -%\cmdlink{newproblem*}, -%and either \cmdname{input} it at the start of your document if -%you want to use specific problems (see Section~\ref{sec:useprob}), or pass it to -%\cmdname{selectrandomly} (see Section~\ref{sec:selran}). This package -%comes with some sample databases, along with some sample documents -%that use these databases. -% -%\section{Displaying a Problem} -%\label{sec:useprob} -% \DescribeMacro{\useproblem} -%\cmddef{useproblem}\verb|{|\meta{label}\verb/}/\\[10pt] -%Once a problem has been defined using \cmdlink{newproblem}, it -%can be typeset using the command \cmdname{useproblem}. If the -%problem was defined to take arguments, the arguments to the -%problem should come after the label. In the case of the -%\probref{sindiff} example above, the command -%\verb|\useproblem{sindiff}{2}| would produce the following:\\[10pt] -% $f(x) = \sin(2x)$ \paragraph{Solution:} $f'(x) = 2\cos(2x)$\\[10pt]whereas the command \verb|\useproblem{diff:quad}{3}{0}{-2}| would produce:\\[10pt] -% $f(x) = 3x^2 - 2$ \paragraph{Solution:} $f'(x) = 6x$\vspace{10pt} -% -%Suppose all the above problems are defined in the file -%\texttt{probs.tex}, then the following code will create a -%problem sheet with four questions in it: +%This will be equivalent to: %\begin{verbatim} -%\documentclass{article} +%\(f(x) = \cos(3x)\) +%\begin{onlysolution}% +%\begin{solution}% +%\(f'(x) = -3\sin(3x)\) +%\end{solution}% +%\end{onlysolution}% +%\end{verbatim} % -%\usepackage{probsoln} -%\input{probs} +%\section{Loading Problems From External Files}\label{sec:load} % -%\begin{document} -%Differentiate the following functions with respect to $x$: -%\begin{enumerate} -%\item \useproblem{quaddiff} -%\item \useproblem{sindiff}{4} -%\item \useproblem{diff:quad}{2}{3}{1} -%\item \useproblem{diff:quad}{0}{1}{2} -%\end{enumerate} -%\end{document} -%\end{verbatim} -%The answer sheet can then be generated by passing the option -%\texttt{answers} to the \texttt{probsoln} package. +%You can store all your problem definitions (see +%\autoref{sec:defproblem}) in an external file. +%These problems can all be appended to the default data set by +%including the file via \ics{input} or they can be appended +%to other data sets using one of the commands described below. +%Once you have loaded all the required problems, you can +%iterate through the data sets using the commands described +%in \autoref{sec:foreach}. Note that the commands below +%will create a new data set, if the named data set doesn't +%exist. % -%\section{Selecting All Problems} +%\DescribeMacro{\loadallproblems} +%\begin{definition} +%\csdef{loadallproblems}\oarg{data set}\marg{filename} +%\end{definition} +%This will load all problems defined in \meta{filename} and +%append them to the specified data set, in the order in which +%they are defined in the file. If \meta{data set} is +%omitted, the default data set will be used. If \meta{data set} +%doesn't exist, it will be created. % -%To select all problems defined in a database, in the order in -%which they were defined, use the command: -%\DescribeMacro{\selectallproblems} -%\cmddef{selectallproblems}\verb|{|\meta{filename}\verb/}/ -%For example, suppose the problems are defined in the file -%\texttt{easy.tex}, then the following will create a problem sheet -%which uses all these problems: +%\DescribeMacro{\loadselectedproblems} +%\begin{definition} +%\csdef{loadselectedproblems}\oarg{data set}\marg{labels}\marg{filename} +%\end{definition} +%This is like \cs{loadproblems}, but only those problems whose +%label is listed in the comma-separated list \meta{labels} are +%loaded. For example, if I have some problems defined in the +%file \texttt{derivatives.tex}, then %\begin{verbatim} -%\documentclass[a4paper]{article} +%\loadselectedproblems{diffsin,diffcos}{derivatives} +%\end{verbatim} +%will only load the problems whose labels are \texttt{diffsin} +%and \texttt{diffcos}, respectively. All the other problems in +%the file will remain undefined. % -%\usepackage{probsoln} +%\DescribeMacro{\loadrandomproblems} +%\begin{definition} +%\csdef{loadrandomproblems}\oarg{data set}\marg{n}\marg{filename} +%\end{definition} +%This randomly loads \meta{n} problems from \meta{filename} and +%adds them to the given data set. If \meta{data set} is omitted, +%the default data set is assumed. Note that the problems will be +%added to the data set in a random order, not in the order in +%which they were defined. There must be at least \meta{n} problems +%defined in \meta{filename}. % -%\begin{document} -%Differentiate the following functions: +%\begin{important} +%It is generally not a good idea to place anything in +%\meta{filename} that is not inside the body of \ienv{defproblem} +%or in the arguments to \ics{newproblem} or \ics{newproblem*}. +%All the commands in this section input the external file within +%a local scope, so commands definitions would need to be made +%global to have any effect. In addition, \cs{loadrandomproblems} +%has to load each file twice, which means that anything outside +%a problem definition will be parsed twice. +%\end{important} +% +% +%\section{Iterating Through Datasets}\label{sec:foreach} +% +%Once you have defined all your problems for a given data set, +%you can use an individual problem with \ics{useproblem} +%(see \autoref{sec:useproblem}) but it is more likely that you will +%want to iterate through all the problems so that you don't need +%to remember the labels of all the problems you have defined. +% +%\DescribeMacro{\foreachproblem} +%\begin{definition} +%\csdef{foreachproblem}\oarg{data set}\marg{body} +%\end{definition} +%This does \meta{body} for each problem in the given data set. +%If \meta{data set} is omitted, the default data set is used. +%Within \meta{body} you can use +%\DescribeMacro{\thisproblem}\cs{thisproblem} to use the +%current problem and \DescribeMacro{\thisproblemlabel}\cs{thisproblemlabel} +%to access the current label. If the problem requires arguments, +%you will be prompted for them, so if you want to use this +%approach you will need to use \LaTeX\ in interactive mode. If +%you do provide arguments, they will be stored in the event that +%you need to iterate through the data set again. The +%arguments will be included in \cs{thisproblem}, so you only +%need to use \cs{thisproblem} without having to specify +%\ics{useproblem}. For example, to iterate through all problems +%in the default data set: +%\begin{verbatim} %\begin{enumerate} -%\selectallproblems{easy} +%\foreachproblem{\item\thisproblem} %\end{enumerate} -%\end{document} %\end{verbatim} % -%\section{Selecting Problems at Random} -%\label{sec:selran} -% \DescribeMacro{\selectrandomly} -%\cmddef{selectrandomly}\verb|{|\meta{filename}\verb/}{/\meta{n}\verb!}!\\[10pt] -%The command \cmdname{selectrandomly} will select \meta{n} -%problems that are defined in the file \meta{filename}. Each -%problem is proceeded by -%\DescribeMacro{\PSNitem}\cmddef{PSitem} which is -%defined to be \cmdname{item}, so the command -%\cmdname{selectrandomly} should occur within one of the -%list-like environments, such as \texttt{enumerate}. -%For example: +%\DescribeMacro{\foreachdataset} +%\begin{definition} +%\csdef{foreachdataset}\marg{cmd}\marg{body} +%\end{definition} +%This does \meta{body} for each of the defined data sets. Within +%\meta{body}, \meta{cmd} will be set to the name of the current +%data set. For example, to display all problems in all data sets: %\begin{verbatim} %\begin{enumerate} -%\selectrandomly{easy.tex}{4} +%\foreachdataset{\thisdataset}{% +%\foreachproblem[\thisdataset]{\item\thisproblem}} %\end{enumerate} %\end{verbatim} -%will result in four numbered problems, selected at random -%from the file \texttt{easy.tex}. (The \texttt{.tex} extension -%may be omitted.) Each problem is followed by the command -%\cmddef{endPSNitem} which by default does nothing. -% -%Multiple \cmdname{selectrandomly} commands may be used, however a -%different file must be used each time. For -%example: +% +%Suppose I have two external files called +%\texttt{derivatives.tex} and \texttt{probspaces.tex} which +%define problems using both \ienv{onlyproblem} and +%\ienv{onlysolution} for example: +%\begin{verbatim} +%\begin{defproblem}{cosxsqsinx}% +%\begin{onlyproblem}% +%$y = \cos(x^2)\sin x$.% +%\end{onlyproblem}% +%\begin{onlysolution}% +%\[\frac{dy}{dx} = -\sin(x^2)2x\sin x + \cos(x^2)\cos x\] +%\end{onlysolution}% +%\end{defproblem} +%\end{verbatim} +%I can write a document that creates two data sets, one for +%the derivative problems and one for the problems about +%probability spaces. I can then use \ics{hideanswers} and +%iterate through the require data set to produce the problems. +%Later, I can use \ics{showanswers} and iterate over all problems defined in both data +%sets to produce the chapter containing all the answers. When +%displaying the questions, I have taken advantage of the fact that +%I can cross-reference items within an \ienv{enumerate} environment, +%and redefined \ics{theenumi} to label the questions according to +%the chapter. The cross-reference label is constructed from +%the problem label and is referenced in the answer section to +%ensure that the answers have the same label as the questions. %\begin{verbatim} -%\begin{enumerate} -%\item Differentiate the following functions with respect to $x$: +%\documentclass{report} +%\usepackage{probsoln} +%\begin{document} +%\hideanswers +%\chapter{Differentiation} +%% randomly select 25 problems from derivatives.tex and add to +%% the data set called 'deriv' +%\loadrandomproblems[deriv]{25}{derivatives} % +%% Display the problems +%\renewcommand{\theenumi}{\thechapter.\arabic{enumi}} %\begin{enumerate} -%\selectrandomly{samples/easy.tex}{3} -%\selectrandomly{samples/args.tex}{1} +%\foreachproblem[deriv]{\item\label{prob:\thisproblemlabel}\thisproblem} %\end{enumerate} +%% You may need to change \theenumi back here % -%\selectrandomly{samples/implicit.tex}{1} -%\selectrandomly{samples/1stprncpl.tex}{1} +%\chapter{Probability Spaces} +%% randomly select 25 problems from probspaces.tex and add to +%% the data set called 'spaces' +%\loadrandomproblems[spaces]{25}{probspaces} % +%% Display the problems +%\renewcommand{\theenumi}{\thechapter.\arabic{enumi}} +%\begin{enumerate} +%\foreachproblem[spaces]{\item\label{prob:\thisproblemlabel}\thisproblem} %\end{enumerate} -%\end{verbatim} -%This will result in a total of 6 problems, numbered 1(a), -%1(b), 1(c), 1(d), 2 and 3. +%% You may need to change \theenumi back here % -%If a randomly selected problem requires arguments, a message -%similar to the following will be displayed: -%\begin{verbatim} -%Problem diff:quad requires 3 argument(s), please specify (e.g. {5}{3}): -%\end{verbatim} -%Enter the required arguments, where each argument is -%enclosed in braces (\{ \}). +%\appendix % -%\section{Other Commands} -%\DescribeMacro{\PSNrandseed} -%The command \cmddef{PSNrandseed}\verb|{|\meta{n}\verb/}/ specifies -%the seed for the random number generator. For example, -%if you are using \cmdlink{selectrandomly}, -%\verb|\PSNrandseed{\year}| will produce a different set of -%problems each year, whereas \verb|\PSNrandseed{\time}| -%will produce a different set of problems each time you -%\LaTeX\ the problem sheet (as long as you leave at least a -%minute between runs.) +%\chapter{Solutions} +%\showanswers +%\begin{itemize} +%\foreachdataset{\thisdataset}{% +%\foreachproblem[\thisdataset]{\item[\ref{prob:\thisproblemlabel}]\thisproblem} +%} +%\end{itemize} % -%\DescribeMacro{\random} -%The command \cmddef{random}\verb|{|\meta{counter}\verb/}{/\meta{a}\verb!}{!\meta{b}\verb-}- -%generates a random number from \meta{a} to \meta{b} and -%stores it in the \LaTeX\ counter \meta{counter}. For example, -%to select 2, 3 or 4 problems from the file -%\texttt{implicit.tex}: -%\begin{verbatim} -%\newcounter{numproblems} -%\begin{enumerate} -%\random{numproblems}{2}{4} -%\selectrandomly{implicit.tex}{\value{numproblems}} -%\end{enumerate} +%\end{document} %\end{verbatim} -%(Note the use of \cmdname{value}.) % -%This command can also be used to generate random values for -%problems that take arguments. Consider the problem \probref{diff:quad} -%defined earlier. Three counters can be defined to represent the -%three coefficients: +% +%\section{Random Number Generator}\label{sec:random} +% +%This package provides a pseudo-random number generator that is used +%by \ics{loadrandomproblems}. +% +%\DescribeMacro{\PSNrandseed} +%\begin{definition} +%\csdef{PSNrandseed}\marg{n} +%\end{definition} +%This sets the seed to \meta{n} which must be a non-zero integer. +%For example, to generate a different set of random numbers +%every time you \LaTeX\ your document,\footnote{assuming you +%leave at least a minute between runs.} put the following in your +%preamble: %\begin{verbatim} -%\newcounter{A} -%\newcounter{B} -%\newcounter{C} +%\PSNrandseed{\time} %\end{verbatim} -%Random values can now be assigned to these counters: +%or to generate a different set of random numbers every year you +%\LaTeX\ your document: %\begin{verbatim} -%\random{A}{-5}{5} -%\random{B}{-5}{5} -%\random{C}{-5}{5} +%\PSNrandseed{\year} %\end{verbatim} -%Finally, the problem can be used (note the use of \cmdname{arabic}): -%\begin{verbatim} -%\useproblem{diff:quad}{\arabic{A}}{\arabic{B}}{\arabic{C}} -%\end{verbatim} -% -%\DescribeMacro{\doforrandN}% -%The command -%\cmddef{doforrandN}\verb|{|\meta{n}\verb/}{/\meta{cmd}\verb!}{!\meta{list}\verb+}{+\meta{text}\verb-}- will apply -%\meta{text} for a random selection of \meta{n} items in the -%comma separated \meta{list}. In each iteration the list -%item is denoted by \meta{cmd}. For example, suppose you -%have three files called \texttt{file1.tex}, -%\texttt{file2.tex} and \texttt{file3.tex}, and you want to -%select 1 problem from two of the three files, then you can -%do: +% +%\DescribeMacro{\PSNgetrandseed} +%\begin{definition} +%\csdef{PSNgetrandseed}\marg{register} +%\end{definition} +%This stores the current seed in the count register specified by +%\meta{register}. +%For example: %\begin{verbatim} -%\doforrandN{2}{\file}{file1,file2,file3}{\selectrandomly{\file}{1}} +%\newcount\myseed +%\PSNgetrandseed{\myseed} %\end{verbatim} -%Note that it is also possible to do +% +%\DescribeMacro{\PSNrandom} +%\begin{definition} +%\csdef{PSNrandom}\marg{register}\marg{n} +%\end{definition} +%Generates a random integer from 1 to \meta{n} and stores in +%the count register specified by \meta{register}. For example, +%the following generates an integer from 1 to 10 and stores it +%in the register \cs{myreg}: %\begin{verbatim} -%\newcounter{numproblems} -%\random{numproblems}{1}{3} -%\selectrandomly{file\arabic{numproblems}}{1} -%\random{numproblems}{1}{3} -%\selectrandomly{file\arabic{numproblems}}{1} +%\newcount\myreg +%\PSNrandom{\myreg}{10} %\end{verbatim} -%however there is a possibility that the same file may be -%selected twice which will cause an error. -% -%\DescribeMacro{\showanswers} -%The command \cmddef{showanswers} will show the solutions from -%that point on. May be localised by placing within a group. -% -%\DescribeMacro{\hideanswers} -%The command \cmddef{hideanswers} will hide the solutions from -%that point on. May be localised by placing within a group. -% -%The solution is placed inside the \DescribeEnv{solution}\env{solution} -%environment. By default this environment simply does -%\verb|\par\noindent\textbf{\solutionname:} | at the start, where -%\DescribeMacro{\solutionname}\cmddef{solutionname} -%has the value: Solution. See the file \texttt{sample3.tex}, which -%comes with this package, for an illustration of how to -%customise the way in which the randomly selected problems are -%displayed. This sample file randomly selects multiple choice -%problems stored in the file \texttt{tabmchoice.tex}, and displays them -%in a longtable \env{environment}. As from version 2.03, the package -%will not define this environment if another package or class file has -%already defined it. -% -%\DescribeMacro{showanswers} -%The boolean variable \texttt{showanswers} is defined to be -%true if the answers are shown and false otherwise. You can -%therefore do something like: +% +%\DescribeMacro{\random} +%\begin{definition} +%\csdef{random}\marg{counter}\marg{min}\marg{max} +%\end{definition} +%Generates a random integer from \meta{min} to \meta{max} and +%stores in the given counter. For example, the following generates +%a random number between 3 and 8 (inclusive) and stores it in +%the counter \texttt{myrand}. %\begin{verbatim} -%\ifthenelse{\boolean{showanswers}}{\textbf{Solution Sheet}}{} +%\newcounter{myrand} +%\random{myrand}{3}{8} %\end{verbatim} -%and \textbf{Solution Sheet} will be printed only if the -%answers are displayed. (For more information on -%\cmdname{ifthenelse} and \cmdname{boolean} see the -%documentation for the \texttt{ifthen} package by -%David Carlisle.) -% -%The \texttt{showanswers} switch can also be used within the definition -%of a problem, if you want the question to appear differently if the -%solution is displayed. For example: +% +%\DescribeMacro{\doforrandN} +%\begin{definition} +%\csdef{doforrandN}\marg{n}\marg{cmd}\marg{list}\marg{text} +%\end{definition} +%Randomly selects \meta{n} values from the comma-separated list +%given by \meta{list} and iterates through this subset. On +%each iteration it sets \meta{cmd} to the current value and +%does \meta{text}. For example, the following will load a +%randomly selected problem from two of the listed files (where +%\texttt{file1.tex}, \texttt{file2.tex} and \texttt{file3.tex} +%are files containing at least one problem): %\begin{verbatim} -%\newproblem{mc:prod}{% -%Which of the following is the derivative of $x\sin(x)$? -%(Circle the correct answer.) -%\ifthenelse{\boolean{showanswers}}{}% -%{\begin{description} -%\item[A] $\sin(x)$ -%\item[B] $x\cos(x)$ -%\item[C] $\sin(x) + x\cos(x)$ -%\end{description} -%}}{% -%\begin{description} -%\item[A] $\sin(x)$ -%\item[B] $x\cos(x)$ -%\item[\textcircled{C}] $\sin(x) + x\cos(x)$ (product rule). -%\end{description} -%} +%\doforrandN{2}{\thisfile}{file1,file2,file3}{% +%\loadrandomproblems{1}{\thisfile}} %\end{verbatim} -%If the solutions are not displayed, the question will appear -%as -%\begin{description} -%\item Which of the following is the derivative of -%$x\sin(x)$? (Circle the correct answer.) -%\begin{description} -%\item[A] $\sin(x)$\item[B] $x\cos(x)$\item[C] $\sin(x) + x\cos(x)$\end{description} -%\end{description} -%otherwise it will appear as: -%\begin{description} -%\item Which of the following is the derivative of -%$x\sin(x)$? (Circle the correct answer.) -%\begin{description} -%\item[A] $\sin(x)$\item[B] $x\cos(x)$\item[\textcircled{C}] $\sin(x) + x\cos(x)$ (product rule)\end{description} -%\end{description} % -%\section{Troubleshooting} -%\subsection{Unexpected Output} -%\begin{itemize} -%\item I have lots of blank space before the first problem when -%using \cmdlink{selectrandomly}. -% -%This is probably because you have lots of extraneous white space -%in your database. \cmdlink{selectrandomly} will input the entire -%file, so any extra space will be included. Try commenting out the -%extra space using \%. -%\end{itemize} -% -%\subsection{Error Messages} -%\begin{itemize} -%\item -%\begin{ttfamily} -%! Package probsoln Error: Label \ldots\ already used. -%\end{ttfamily} % -%Each label identifier used in \cmdlink{newproblem} must be -%unique. Check to make sure you haven't used the same label -%more than once. Also check to make sure you haven't -%\cmdname{input}ed or randomly selected from the same file more -%than once. (Or \cmdname{input}ed and randomly selected from -%the same file.) +%\section{Compatibility With Versions Prior to 3.0} % -%\item -%\begin{ttfamily} -%! Package probsoln Error: Label \ldots\ undefined. -%\end{ttfamily} +%Version 3.0 of the \sty{probsoln} package completely changed the +%structure of the package, but the commands described in this +%section have been provided to maintain compatibility with +%earlier versions. The only problems that are likely to occur are +%those where commands are contained within groups. This will +%effect any commands that are contained in external files that are +%outside of the arguments to \ics{newproblem} and \ics{newproblem*}. +%However, since the external files had to be parsed twice in +%order to load the problems, this shouldn't be an issue as adding +%anything other than problem definitions in those files would +%be problematic anyway. % -%You need to define a problem before you can use it. Check to -%make sure you haven't mis-spelt it, and check to make sure you -%have \cmdname{input}ed the file in which it is defined. +%The other likely difference is where the random generator is +%used in a group. This includes commands such as +%\ics{selectrandomly}. For example, if your document contained +%something like: +%\begin{verbatim} +%\begin{enumerate} +%\selectrandomly{file1}{8} % -%\item -%\begin{ttfamily} -%! Package probsoln Error: Requested number too large. -%\end{ttfamily} +%\item Solve the following: +%\begin{enumerate} +%\selectrandomly{file2}{4} +%\end{enumerate} % -%You have asked for more problems than are defined within the -%specified file. All problems in that file will be selected. +%\selectrandomly{file3}{2} +%\end{enumerate} +%\end{verbatim} +%Then using versions prior to v3.0 will produce a different +%set of random numbers since the second \cs{selectrandomly} +%is in a different level of grouping. If you want to ensure +%that the document produces exactly the same random set with +%the new version as with the old version, you will need to +%get and set the random number seed. For example, the above +%would need to be modified so that it becomes: +%\begin{verbatim} +%\begin{enumerate} +%\selectrandomly{file1}{8} % -%\item -%\begin{ttfamily} -%! Package probsoln Error: Can't randomly select \meta{n} -%item(s) -%\end{ttfamily} +%\item Solve the following: +%\newcount\oldseed +%\PSNgetrandseed{\oldseed} +%\begin{enumerate} +%\selectrandomly{file2}{4} +%\end{enumerate} +%\PSNrandseed{\oldseed} % -%You have asked to randomly select \meta{n} items from a list -%that has less than \meta{n} elements. For example, the -%following will generate this error: -%\begin{verbatim} -%\doforrandN{10}{\file}{file1,file2,file3}{% -%\selectrandomly{\file}{1}} +%\selectrandomly{file3}{2} +%\end{enumerate} %\end{verbatim} -%In this case the list, \texttt{file1,file2,file3} has only 3 -%elements, but the user has asked for 10 elements. If you type -%`h' at the \LaTeX\ prompt it will tell you how many items it thinks -%there are in the list. Remember that each item must be separated by a -%comma. % -%\item -%\begin{ttfamily} -%! LaTeX Error: Lonely \cmdname{item}--perhaps missing list -%environment. +%\DescribeMacro{\selectrandomly} +%\begin{definition} +%\csdef{selectrandomly}\marg{filename}\marg{n} +%\end{definition} +%This is now equivalent to: +%\begin{ttfamily}\obeylines +%\{\cs{loadrandomproblems}\oarg{filename}\marg{n}\marg{filename}\}\% +%\cs{foreachproblem}\oarg{filename}\marg{\cs{PSNitem}\cs{thisproblem}\cs{endPSNitem}} %\end{ttfamily} % -%Each problem selected using \cmdlink{selectrandomly} is -%proceeded by \cmdlink{PSNitem} which by default is defined -%as \cmdname{item}, and should therefore be -%placed in one of the list environments, such as -%\texttt{enumerate}. Alternatively, redefine \cmdlink{PSNitem}. +%\DescribeMacro{\selectallproblems} +%\begin{definition} +%\csdef{selectallproblems}\marg{filename} +%\end{definition} +%This is now equivalent to: +%\begin{ttfamily}\obeylines +%\{\cs{loadallproblems}\oarg{filename}\marg{filename}\}\% +%\cs{foreachproblem}\oarg{filename}\marg{\cs{PSNitem}\cs{thisproblem}\cs{endPSNitem}} +%\end{ttfamily} % -%\item I get an error when I put a command definition in my database -%when using \cmdname{selectrandomly}. +%Note that in both the above cases, a new data set is created +%with the same name as the file name. % -%\cmdlink{selectrandomly} inputs the database twice, so any -%command definition will be read twice, causing an error. You -%can use the switch \cmdname{iffirstpass} to prevent the error. For -%example: -%\begin{verbatim} -%\iffirstpass -%\newcommand{\mycmd}{} -%\fi -%\end{verbatim} -%It is generally not a good idea to put anything other than -%\cmdlink{newproblem} commands within the database. % -%\end{itemize} +% \StopEventually{\clearpage\phantomsection\addcontentsline{toc}{section}{Index}\PrintIndex} % -%\section{Contact Details} -%Dr Nicola Talbot\\ -%School of Computing Sciences\\ -%University of East Anglia\\ -%Norwich. NR4 7TJ\\ -%\url{http://theoval.cmp.uea.ac.uk/~nlct/} % -%\StopEventually{\PrintIndex} % %\section{The Code} %\iffalse @@ -558,147 +778,641 @@ %<*probsoln.sty> % \end{macrocode} %\fi -% At the start of the package, specify that the \LaTeXe\ format is -% required. And specify the package provided. +%\subsection{Package Definition} +% This package requires \LaTeXe. % \begin{macrocode} \NeedsTeXFormat{LaTeX2e} -\ProvidesPackage{probsoln}[2007/08/21 v2.04 Problems and their Solutions Package (NLCT)] +% \end{macrocode} +% Identify this package and version: +% \begin{macrocode} +\ProvidesPackage{probsoln}[2008/08/25 v3.0 (NLCT)] +% \end{macrocode} +% Required packages: +% \begin{macrocode} \RequirePackage{ifthen} +\RequirePackage{substr} +\RequirePackage{amsmath} % \end{macrocode} -% Define newif to determine whether or not to show the answers. -% (Changed to |\provideboolean| 21 Mar 2004.) +% \subsection{Package Options} +%\begin{macro}{\ifshowanswers} +% Define boolean to determine whether or not to show the +% solutions. This governs whether the contents of \env{onlysolution} +% and \env{onlyproblem} are displayed. % \begin{macrocode} -\provideboolean{showanswers} +\newif\ifshowanswers +\showanswersfalse % \end{macrocode} +%\end{macro} %\begin{macro}{\showanswers} +% Define synonym for \cs{showanswerstrue} % \begin{macrocode} -\let\showanswers=\showanswerstrue +\let\showanswers\showanswerstrue % \end{macrocode} %\end{macro} %\begin{macro}{\hideanswers} +% Define synonym for \cs{showanswersfalse} % \begin{macrocode} -\let\hideanswers=\showanswersfalse +\let\hideanswers\showanswersfalse % \end{macrocode} %\end{macro} -% Now define the package options +% The package option \pkgopt{answers} displays the solutions. % \begin{macrocode} \DeclareOption{answers}{\showanswerstrue} +% \end{macrocode} +% The package option \pkgopt{noanswers} hides the solutions. +% \begin{macrocode} \DeclareOption{noanswers}{\showanswersfalse} -\ExecuteOptions{noanswers} +% \end{macrocode} +%\begin{macro}{\prob@showdraftlabel} +%\begin{definition} +%\cs{prob@showdraftlabel}\marg{db name}\marg{label} +%\end{definition} +% Used by \cs{useproblem} to display data base name and problem +% label when in draft mode. +% \begin{macrocode} +\newcommand*{\prob@showdraftlabel}[2]{} +% \end{macrocode} +%\end{macro} +%\begin{macro}{\draftproblemlabel} +%\begin{definition} +%\cs{draftproblemlabel}\marg{db name}\marg{label} +%\end{definition} +% Displays the data base name and label. +% \begin{macrocode} +\newcommand*{\draftproblemlabel}[2]{[#1,#2]} +% \end{macrocode} +%\end{macro} +% Draft mode displays the problem label using \cs{draftproblemlabel} +% \begin{macrocode} +\DeclareOption{draft}{% +\renewcommand*{\prob@showdraftlabel}[2]{\draftproblemlabel{#1}{#2}}} +% \end{macrocode} +% Final mode: +% \begin{macrocode} +\DeclareOption{final}{% +\renewcommand*{\prob@showdraftlabel}[2]{}} +% \end{macrocode} +% Process package options: +% \begin{macrocode} \ProcessOptions +% \end{macrocode} +%\subsection{Databases} +% All the problems are stored in data bases. Each data base +% \meta{name} is represented as a macro \cs{prob@db@}\meta{name} +% which stores a comma-separated list of labels for each problem +% associated with that data base. Each problem \meta{label} is +% stored in the macro +% \cs{prob@data@}\meta{name}"@"\meta{name}"@"\meta{label}. Problems +% loaded from an external file using \cs{loadproblems} are added +% to the specified data base. Any problems that are defined in the +% document or are \cs{input}ed from another file (without the +% use of \cs{loadproblems}) are added to the default data base. +% +% Define the default data base: +% \begin{macrocode} +\newcommand*{\prob@db@default}{} % \end{macrocode} -% Create newifs for selecting randomly and parsing through file +% +%\begin{macro}{\prob@databases} +% Store a list of all the defined data bases. % \begin{macrocode} -\newif\ifselectrandom \selectrandomfalse -\newif\iffirstpass -\newif\ifselected +\newcommand*{\prob@databases}{default} % \end{macrocode} -%\begin{macro}{\newproblem} -% Define the command that creates a new problem. As from version -% 2.03 this command now has a starred version for problems without -% solutions. +%\end{macro} +% +%\begin{macro}{\prob@newdb} +%\begin{definition} +%\cs{prob@newdb}\marg{name} +%\end{definition} +% Creates a new (empty) data base. % \begin{macrocode} -\newcommand{\newproblem}{\@ifstar\@snewproblem\@newproblem} +\newcommand*{\prob@newdb}[1]{% +\@ifundefined{prob@db@#1}{% + \expandafter\gdef\csname prob@db@#1\endcsname{}% + \xdef\prob@databases{\prob@databases,#1}% + }{% + \PackageError{probsoln}{Data set `#1' is already defined}{}}} % \end{macrocode} %\end{macro} -%\begin{macro}{\@newproblem} -% The unstarred version. +% +%\begin{macro}{\prob@currentdb} +% Keep a track of the current data base % \begin{macrocode} -\newcommand{\@newproblem}[4][0]{% -\ifselectrandom -\iffirstpass -% on the first pass, just store the label, and increment \@probN -\global\advance\@probN by 1 -\expandafter\gdef\csname @problabel\romannumeral\@probN\endcsname{#2}% -\else -% check to see if this problem has been selected -\checkselected{#2}% -\ifselected -\@ifundefined{@prob@#2}{% -\ifnum#1=0 -% this problem has no arguments -\expandafter\gdef\csname @prob@#2\endcsname{% -#3 \ifshowanswers\begin{solution}#4\end{solution}\fi}% -\expandafter\gdef\csname @prob@#2@arg\endcsname{\relax}% -\else -\message{Problem #2 requires #1 argument(s), please specify (e.g. {5}{3}):}% -\read-1to\@tmp -\expandafter\xdef\csname @prob@#2@arg\endcsname{\@tmp}% -\expandafter\global\expandafter\newcommand\csname @prob@#2\endcsname[#1]{% -#3 \ifshowanswers\begin{solution}#4\end{solution}\fi}% -\fi -}{% -\PackageError{probsoln}{Label #2 already used}% -{Each problem must have a unique label identifier}% +\newcommand*{\prob@currentdb}{default} +% \end{macrocode} +%\end{macro} +% +%\begin{macro}{\moveproblem} +%\begin{definition} +%\cs{moveproblem}\marg{label}\marg{source}\marg{target} +%\end{definition} +% \begin{macrocode} +\newcommand{\moveproblem}[3]{% +\@moveproblem{#1}{#2}{#3}% +\expandafter\let\expandafter\@tmpdblist + \csname prob@db@#2\endcsname +\expandafter\gdef\csname prob@db@#2\endcsname{}% +\@for\@tmplab:=\@tmpdblist\do{% + \ifthenelse{\equal{\@tmplab}{#1}}{}{% + \expandafter\ifx\csname prob@db@#2\endcsname\@empty + \expandafter\xdef\csname prob@db@#2\endcsname{\@tmplab}% + \else + \expandafter\xdef\csname prob@db@#2\endcsname{% + \csname prob@db@#2\endcsname,% + \@tmplab}% + \fi + }% }% -\fi -\fi -\else -\@ifundefined{@prob@#2}{% -\expandafter\global\expandafter\newcommand\csname @prob@#2\endcsname[#1]{% -#3 \ifshowanswers\begin{solution}#4\end{solution}\fi}% -}{% -\PackageError{probsoln}{Label #2 already used}% -{Each problem must have a unique label identifier}% } -\fi +% \end{macrocode} +%\end{macro} +% +%\begin{macro}{\@moveproblem} +%\begin{definition} +%\cs{@moveproblem}\marg{label}\marg{source}\marg{target} +%\end{definition} +% Moves problem identified by \meta{label} from the data base +% \meta{source} to the data base \meta{target}. (Doesn't remove +% label from \meta{source} --- that needs to be done separately.) +% \begin{macrocode} +\newcommand*{\@moveproblem}[3]{% +% \end{macrocode} +% Add label to target data base +% \begin{macrocode} + \expandafter\ifx\csname prob@db@#3\endcsname\@empty + \expandafter\xdef\csname prob@db@#3\endcsname{#1}% + \else + \expandafter\xdef\csname prob@db@#3\endcsname{% + \csname prob@db@#3\endcsname,#1}% + \fi +% \end{macrocode} +% Redefine \cs{prob@data@}\meta{source}"@"\meta{label} as +% \cs{prob@data@}\meta{target}"@"\meta{label}. +% \begin{macrocode} + \edef\do@movedata{% + \noexpand\global\noexpand\let\expandafter\noexpand + \csname prob@data@#3@#1\endcsname=% + \expandafter\noexpand\csname prob@data@#2@#1\endcsname + \noexpand\global\noexpand\let + \expandafter\noexpand + \csname prob@data@#2@#1\endcsname=\noexpand\undefined + }% + \do@movedata +% \end{macrocode} +% Redefine \cs{prob@argN@}\meta{source}"@"\meta{label} as +% \cs{prob@argN@}\meta{target}"@"\meta{label}. +% \begin{macrocode} + \edef\do@moveargN{% + \noexpand\global\noexpand\let\expandafter\noexpand + \csname prob@argN@#3@#1\endcsname=% + \expandafter\noexpand\csname prob@argN@#2@#1\endcsname + \noexpand\global\noexpand\let + \expandafter\noexpand + \csname prob@argN@#2@#1\endcsname=\noexpand\undefined + }% + \do@moveargN +% \end{macrocode} +% Redefine \cs{prob@args@}\meta{source}"@"\meta{label} as +% \cs{prob@args@}\meta{target}"@"\meta{label}, if defined. +% \begin{macrocode} + \@ifundefined{prob@args@#2@#1}{}{% + \edef\do@moveargs{% + \noexpand\global\noexpand\let\expandafter\noexpand + \csname prob@args@#3@#1\endcsname=% + \expandafter\noexpand\csname prob@args@#2@#1\endcsname + \noexpand\global\noexpand\let + \expandafter\noexpand + \csname prob@args@#2@#1\endcsname=\noexpand\undefined + }% + \do@moveargs + }% } % \end{macrocode} %\end{macro} -%\begin{macro}{\@snewproblem} -% The starred version (new to version 2.03). Note that there is one -% less argument, because the problem doesn't have a solution. +% +%\subsection{Defining New Problems} +%\begin{macro}{\prob@newproblem} +%\begin{definition} +%\cs{prob@newproblem}\marg{n}\marg{db name}\marg{label}\marg{definition} +%\end{definition} +% Define a new problem identified by \meta{label} for data base +% \meta{db name} with the given definition. The problem has \meta{n} +% arguments (each represented by "#1" etc). The arguments may +% either be appended to \cs{useproblem}\marg{label} or may +% be stored in \cs{prob@args@}\meta{db name}"@"\meta{label} if +% the problem is to be accessed via \cs{foreachproblem}. The +% number of arguments is stored in +% \cs{prob@argN@}\meta{db name}"@"\meta{label} % \begin{macrocode} -\newcommand{\@snewproblem}[3][0]{% -\ifselectrandom -\iffirstpass -% on the first pass, just store the label, and increment \@probN -\global\advance\@probN by 1 -\expandafter\gdef\csname @problabel\romannumeral\@probN\endcsname{#2}% -\else -% check to see if this problem has been selected -\checkselected{#2}% -\ifselected -\@ifundefined{@prob@#2}{% -\ifnum#1=0 -% this problem has no arguments -\expandafter\gdef\csname @prob@#2\endcsname{#3}% -\expandafter\gdef\csname @prob@#2@arg\endcsname{\relax}% +\newcommand{\prob@newproblem}[4]{% +% \end{macrocode} +% If the given data base is not defined, create it: +% \begin{macrocode} +\@ifundefined{prob@db@#2}{\prob@newdb{#2}}{}% +% \end{macrocode} +% Check whether this entry has already been defined: +% \begin{macrocode} +\@ifundefined{prob@data@#2@#3}{% +% \end{macrocode} +% Define the new problem and make it global: +% \begin{macrocode} +\let\@tmp=\undefined +\newcommand\@tmp[#1]{#4}% +\expandafter\global\expandafter\let + \csname prob@data@#2@#3\endcsname=\@tmp +\expandafter\xdef\csname prob@argN@#2@#3\endcsname{\number#1}% +\let\@tmp=\undefined +% \end{macrocode} +% Add the label to the data base: +% \begin{macrocode} +\expandafter\ifx\csname prob@db@#2\endcsname\@empty + \expandafter\xdef\csname prob@db@#2\endcsname{#3}% \else -\message{Problem #2 requires #1 argument(s), please specify (e.g. {5}{3}):}% -\read-1to\@tmp -\expandafter\xdef\csname @prob@#2@arg\endcsname{\@tmp}% -\expandafter\global\expandafter\newcommand\csname @prob@#2\endcsname[#1]{#3}% -\fi -}{% -\PackageError{probsoln}{Label #2 already used}% -{Each problem must have a unique label identifier}% -}% + \expandafter\xdef\csname prob@db@#2\endcsname{% + \csname prob@db@#2\endcsname,#3}% \fi +% \end{macrocode} +% If the problem requires arguments, prompt the user if necessary: +% \begin{macrocode} +\ifnum#1>0\relax + \@prob@do@getargs{#1}{#2}{#3}% \fi + }{% + \PackageError{probsoln}{Problem `#3' is already defined for + data base `#2'}{Problem labels must be unique for each data base}}% +} +% \end{macrocode} +%\end{macro} +% +%\begin{macro}{\@prob@gobblethree} +% Ignore all three arguments +% \begin{macrocode} +\newcommand{\@prob@gobblethree}[3]{} +% \end{macrocode} +%\end{macro} +%\begin{macro}{\@prob@getargs} +%\begin{definition} +%\cs{@prob@getargs}\meta{n}\meta{db name}\meta{label} +%\end{definition} +% Prompt user for \meta{n} arguments for problem \meta{label} +% in data base \meta{db name}. +% \begin{macrocode} +\newcommand{\@prob@getargs}[3]{% +\message{Problem `#3' (in data base `#2') requires #1 argument(s).^^J +Please specify (e.g. {5}{3}):}% +\read-1to\@tmp +\expandafter\global\expandafter\let + \csname prob@args@#2@#3\endcsname=\@tmp +} +% \end{macrocode} +%\end{macro} +%\begin{macro}{\@prob@do@getargs} +% \begin{macrocode} +\let\@prob@do@getargs\@prob@gobblethree +% \end{macrocode} +%\end{macro} +% +%\begin{macro}{\long@collect@body} +% Need long versions of \cs{collect@body}. These macros are +% adapted from the macros defined by \sty{amsmath}. +% \begin{macrocode} +\long\def\long@collect@body#1{% + \@envbody{\@xp#1\@xp{\the\@envbody}}% + \edef\process@envbody{\the\@envbody\@nx\end{\@currenvir}}% + \@envbody\@emptytoks \def\begin@stack{b}% + \begingroup + \@xp\let\csname\@currenvir\endcsname\long@collect@@body + \edef\process@envbody{\@xp\@nx\csname\@currenvir\endcsname}% + \process@envbody +} +% \end{macrocode} +%\end{macro} +%\begin{macro}{\long@addto@envbody} +% \begin{macrocode} +\long\def\long@addto@envbody#1{\global\@envbody\@xp{\the\@envbody#1}} +% \end{macrocode} +%\end{macro} +%\begin{macro}{\long@collect@@body} +% \begin{macrocode} +\long\def\long@collect@@body#1\end#2{% + \edef\begin@stack{\long@push@begins#1\begin\end \@xp\@gobble\begin@stack}% + \ifx\@empty\begin@stack + \endgroup + \@checkend{#2}% + \long@addto@envbody{#1}% + \else + \long@addto@envbody{#1\end{#2}}% + \fi + \process@envbody +} +% \end{macrocode} +%\end{macro} +%\begin{macro}{\long@push@begins} +% \begin{macrocode} +\long\def\long@push@begins#1\begin#2{% + \ifx\end#2\else b\@xp\long@push@begins\fi +} +% \end{macrocode} +%\end{macro} +% +%\begin{environment}{defproblem} +%\begin{definition} +%"\begin{defproblem}"\oarg{n}\marg{label} +%\end{definition} +% Define a new problem identified by \meta{label} with +% \meta{n} arguments to add to the current data base. Note that +% since the contents of the environment are passed to a command, +% the contents can't contain any verbatim text. +% \begin{macrocode} +\newenvironment{defproblem}[2][0]{% + \def\@prob@currentargN{#1}% + \def\@prob@currentlabel{#2}% + \long@collect@body\prob@do@defproblem +}{} +% \end{macrocode} +%\end{environment} +%\begin{macro}{\prob@do@newproblem} +%\begin{definition} +%\cs{prob@do@newproblem}\marg{definition} +%\end{definition} +% Defines a new problem given by \meta{definition}, where +% the number of arguments is given by \cs{@prob@currentargN}, +% the label is given by \cs{@prob@currentlabel} and the data base +% is given by \cs{prob@currentdb}. +% \begin{macrocode} +\newcommand{\prob@do@newproblem}[1]{% +\prob@newproblem\@prob@currentargN\prob@currentdb + \@prob@currentlabel{#1}} +% \end{macrocode} +%\end{macro} +% +%\begin{macro}{\prob@do@defproblem} +% The default action of the \env{defproblem} environment is to +% define a new problem. +% \begin{macrocode} +\let\prob@do@defproblem=\prob@do@newproblem +% \end{macrocode} +%\end{macro} +% +%\begin{environment}{onlysolution} +% Define an environment that only displays its contents if the +% solutions should be displayed. +% \begin{macrocode} +\newenvironment{onlysolution}{% + \long@collect@body\do@onlysolution +}{} +% \end{macrocode} +%\end{environment} +%\begin{macro}{\do@onlysolution} +% \begin{macrocode} +\newcommand{\do@onlysolution}[1]{% +\ifshowanswers + #1% +\fi} +% \end{macrocode} +%\end{macro} +% +%\begin{environment}{onlyproblem} +% Define an environment that only displays its contents if the +% solutions should not be displayed. +% \begin{macrocode} +\newenvironment{onlyproblem}{% + \long@collect@body\do@onlyproblem +}{} +% \end{macrocode} +%\end{environment} +%\begin{macro}{\do@onlyproblem} +% \begin{macrocode} +\newcommand{\do@onlyproblem}[1]{% +\ifshowanswers \else -\@ifundefined{@prob@#2}{% -\expandafter\global\expandafter\newcommand\csname @prob@#2\endcsname[#1]{#3}% + #1% +\fi} +% \end{macrocode} +%\end{macro} +% +%\subsection{Using Problems} +%\begin{macro}{\useproblem} +%\begin{definition} +%\cs{useproblem}\oarg{db name}\marg{label}\marg{arg1}\ldots +%\marg{argN} +%\end{definition} +% Use problem identified by \meta{label} in data base +% \meta{db name} where \meta{arg1}\ldots\meta{argN} are the +% arguments to pass to the problem, if the problem was defined +% to take arguments. +% \begin{macrocode} +\newcommand{\useproblem}[2][default]{% +\prob@showdraftlabel{#1}{#2}% +\let\@next=\relax +\@ifundefined{prob@data@#1@#2}{% + \PackageError{probsoln}{Problem `#2' is not defined in data set + `#1'}{}% }{% -\PackageError{probsoln}{Label #2 already used}% -{Each problem must have a unique label identifier}% + \def\@next{\csname prob@data@#1@#2\endcsname}% +}% +\@next} +% \end{macrocode} +%\end{macro} +%\subsection{Loading Problems From Another File} +%\begin{macro}{\loadallproblems} +%\begin{definition} +%\cs{loadallproblems}\oarg{db name}\marg{filename} +%\end{definition} +% Loads all the problems defined in \meta{filename} and adds +% them to data base \meta{db name}. (\cs{par} is temporarily +% disabled to allow for blank lines between problems.) +% \begin{macrocode} +\newcommand*{\loadallproblems}[2][default]{% +\bgroup + \let\par\relax + \edef\prob@currentdb{#1}% + \input{#2}% +\egroup } +% \end{macrocode} +%\end{macro} +%\begin{macro}{\prob@do@selectedproblem} +% Only define problem if the label is listed in +% \cs{prob@selectedlabels}. (The current label is +% given by \cs{@prob@currentlabel}.) +% \begin{macrocode} +\newcommand{\prob@do@selectedproblem}[1]{% +\IfSubStringInString{,\@prob@currentlabel,}{,\prob@selectedlabels,}{% +\prob@do@newproblem{#1}}{}% +} +% \end{macrocode} +%\end{macro} +% +%\begin{macro}{\loadselectedproblems} +%\begin{definition} +%\cs{loadselectedproblems}\oarg{db name}\marg{list}\marg{filename} +%\end{definition} +% Loads only those problems whose labels are listed in +% \meta{list}. +% \begin{macrocode} +\newcommand{\loadselectedproblems}[3][default]{% +\bgroup + \let\par\relax + \edef\prob@currentdb{#1}% + \edef\prob@selectedlabels{#2}% + \let\prob@do@defproblem=\prob@do@selectedproblem + \input{#3}% +\egroup +} +% \end{macrocode} +%\end{macro} +% +%\begin{macro}{\prob@add@currentlabel} +% Adds the current label to \cs{prob@selectedlabels} (ignores +% argument.) +% \begin{macrocode} +\newcommand{\prob@add@currentlabel}[1]{% +\ifx\prob@selectedlabels\@empty + \xdef\prob@selectedlabels{\@prob@currentlabel}% +\else + \xdef\prob@selectedlabels{\prob@selectedlabels,\@prob@currentlabel}% \fi } % \end{macrocode} %\end{macro} -%\begin{macro}{\useproblem} -% Define the command that uses a problem +%\begin{macro}{\iffirstpass} +% Determines if this is the first pass of the filename when loading +% a data base. +% \begin{macrocode} +\newif\iffirstpass +\firstpasstrue +% \end{macrocode} +%\end{macro} +%\begin{macro}{\loadrandomproblems} +%\begin{definition} +%\cs{loadrandomproblems}\oarg{db name}\marg{n}\marg{filename} +%\end{definition} +% Loads \meta{n} randomly selected problems from \meta{filename}. +% Needs to input \meta{filename} twice: the first time just gathers +% all the labels, the second time only loads the selected problems. +% \begin{macrocode} +\newcommand{\loadrandomproblems}[3][default]{% +\bgroup + \let\par\relax + \def\prob@db@reserved{}% + \def\prob@currentdb{reserved}% + \edef\prob@selectedlabels{}% +% \end{macrocode} +% Collect labels: +% \begin{macrocode} + \let\prob@do@defproblem=\prob@add@currentlabel + \firstpasstrue + \input{#3}% +% \end{macrocode} +% Shuffle labels. +% \begin{macrocode} + \@probselN=0\relax + \@for\@thislabel:=\prob@selectedlabels\do{% + \advance\@probselN by 1\relax + \expandafter + \edef\csname @prob@tmp@\romannumeral\@probselN\endcsname{% + \@thislabel}% + }% + \shuffle{@prob@tmp@}{\@probselN}% + \ifnum\@probselN<#2\relax + \PackageError{probsoln}{% + Can't select \number#2\space\space problem(s):^^J + '#3' only contains \number\@probselN\space problem(s)}{% + Only \number\@probselN\space problem(s) will be selected}% + \else + \@probselN=#2\relax + \fi +% \end{macrocode} +% Store only the first \meta{n} of the shuffled labels. +% \begin{macrocode} + \@probN=0\relax + \def\prob@selectedlabels{}% + \whiledo{\@probN<\@probselN}{% + \advance\@probN by 1\relax + \ifx\prob@selectedlabels\@empty + \edef\prob@selectedlabels{% + \csname @prob@tmp@\romannumeral\@probN\endcsname}% + \else + \edef\prob@selectedlabels{% + \prob@selectedlabels,% + \csname @prob@tmp@\romannumeral\@probN\endcsname}% + \fi + }% +% \end{macrocode} +% Only load selected labels. % \begin{macrocode} -\newcommand*{\useproblem}[1]{% -\@ifundefined{@prob@#1}{% -\PackageError{probsoln}{Label #1 undefined}% -{Can't find problem defined with label identifier `#1'}% -}{\csname @prob@#1\endcsname}% + \let\prob@do@defproblem=\prob@do@selectedproblem + \firstpassfalse + \input{#3}% +% \end{macrocode} +% Move them from the reserved data base into the required data base +% in the order specified by \cs{prob@selectedlabels} +% \begin{macrocode} +\@ifundefined{prob@db@#1}{\prob@newdb{#1}}{}% +\@for\@thislabel:=\prob@selectedlabels\do{% + \@moveproblem{\@thislabel}{reserved}{#1}% +}% +% \end{macrocode} +% \cs{prob@selectedlabels} had to be globally defined. It's no +% longer required to undefine it. +% \begin{macrocode} + \let\prob@selectedlabels=\undefined +\egroup +} +% \end{macrocode} +%\end{macro} +% +%\subsection{Iterating Through a Data Base} +%\begin{macro}{\foreachproblem} +%\begin{definition} +%\cs{foreachproblem}\oarg{db name}\marg{body} +%\end{definition} +% Does \meta{body} for each problem defined in the data base +% \meta{db name}. Within \meta{body}, the command \cs{thisproblem} +% can be used to do the current problem and the command +% \cs{thisproblemlabel} can be used to access the current label. +% \begin{macrocode} +\newcommand{\foreachproblem}[2][default]{% +\@ifundefined{prob@db@#1}{% + \PackageError{probsoln}{Data base `#1' is not defined}{}% +}{% + \expandafter\let\expandafter\@tmp\csname prob@db@#1\endcsname + \@for\thisproblemlabel:=\@tmp\do{% + \expandafter\ifnum + \csname prob@argN@#1@\thisproblemlabel\endcsname>0\relax + \@ifundefined{prob@args@#1@\thisproblemlabel}{% + \expandafter\@prob@getargs + \csname prob@argN@#1@\thisproblemlabel\endcsname + {#1}{\thisproblemlabel}}{}% + \expandafter\let\expandafter\thisproblemargs + \csname prob@args@#1@\thisproblemlabel\endcsname + \else + \let\thisproblemargs\@empty + \fi + \expandafter\toks@\expandafter{\thisproblemargs}% + \edef\thisproblem{\noexpand\useproblem[#1]{\thisproblemlabel}% + \the\toks@}% + #2% + }% +}% } % \end{macrocode} %\end{macro} -% Now deal with the stuff for random selection. +% +%\begin{macro}{\foreachdataset} +%\begin{definition} +%\cs{foreachdataset}\marg{cmd}\marg{body} +%\end{definition} +% Iterates through all defined data sets. Assigns \meta{cmd} to the +% name of the data base. +% \begin{macrocode} +\newcommand{\foreachdataset}[2]{% +\@for#1:=\prob@databases\do{#2}} +% \end{macrocode} +%\end{macro} +% +%\subsection{Random Numbers} % First define some registers for later use. % \begin{macrocode} \newcount\@probN \newcount\@probselN \newcount\@rndselctr @@ -712,14 +1426,19 @@ \newcommand*{\PSNrandseed}[1]{% \ifnum#1=0\relax \PackageWarning{probsoln}{Can't have 0 as random seed, changing to 1}% - \r@ndcur=1\relax + \global\r@ndcur=1\relax \else - \r@ndcur=#1\relax + \global\r@ndcur=#1\relax \fi \PackageInfo{probsoln}{Random Seed = \number\r@ndcur}% } % \end{macrocode} %\end{macro} +%\begin{macro}{\PSNgetrandseed} +% \begin{macrocode} +\newcommand*{\PSNgetrandseed}[1]{#1=\r@ndcur\relax} +% \end{macrocode} +%\end{macro} %\begin{macro}{\PSNrand} % Generate a random integer. % \begin{macrocode} @@ -727,17 +1446,21 @@ \@ps@randtmp=\r@ndcur \multiply\@ps@randtmp by 16807\relax \r@ndcur=\@ps@randtmp -\divide\r@ndcur by 120001\relax -\multiply\r@ndcur by 120001\relax +\global\divide\r@ndcur by 120001\relax +\global\multiply\r@ndcur by 120001\relax \advance\@ps@randtmp by -\r@ndcur -\r@ndcur = \@ps@randtmp -\ifnum\r@ndcur=0\relax\r@ndcur=1\fi +\global\r@ndcur = \@ps@randtmp +\ifnum\r@ndcur=0\relax + \global\r@ndcur=1\relax +\fi } % \end{macrocode} %\end{macro} %\begin{macro}{\PSNrandom} -% \cs{PSNrandom}\marg{count}\marg{n} stores a random number -% from 1 to \meta{n} +%\begin{definition} +%\cs{PSNrandom}\marg{count}\marg{n} +%\end{definition} +% stores a random number from 1 to \meta{n} % in the TeX count register \meta{count} % \begin{macrocode} \newcommand{\PSNrandom}[2]{% @@ -758,7 +1481,9 @@ % \end{macrocode} %\end{macro} %\begin{macro}{\random} -% \cs{random}\marg{counter}\marg{a}\marg{b}: +%\begin{definition} +% \cs{random}\marg{counter}\marg{a}\marg{b} +%\end{definition} % Generate a random number in the range $[a,b]$, and store this % number in the \LaTeX\ counter \meta{counter}. % \begin{macrocode} @@ -776,101 +1501,12 @@ } % \end{macrocode} %\end{macro} -%\begin{macro}{\selectallproblems} -% Define command to use all problems from a given file. -% Syntax: \cs{selectallproblems}\marg{filename}. -% \begin{macrocode} -\newcommand*{\selectallproblems}[1]{% -\global\@probN=0\relax -\selectrandomtrue -\firstpasstrue -\input{#1}% -\firstpassfalse -\selectrandomfalse -\input{#1}% -\global\@rndselctr=1\relax -\whiledo{\@rndselctr < \@probN \TE@or \@rndselctr = \@probN}{% -\edef\@tmp{\csname @problabel\romannumeral\@rndselctr\endcsname}% -\edef\@probargs{{\@tmp}\csname @prob@\@tmp @arg\endcsname}% -\PSNitem \expandafter\useproblem\@probargs \endPSNitem -\global\advance\@rndselctr by 1\relax -}} -% \end{macrocode} -%\end{macro} -%\begin{macro}{\selectrandomly} -% Now define command to randomly select \meta{n} problems from -% a given file. -% Syntax: \cs{selectrandomly}\marg{filename}\meta{n}. -% \begin{macrocode} -\newcommand*{\selectrandomly}[2]{% -\global\@probselN=#2\relax -\global\@probN=0\relax -\selectrandomtrue -\firstpasstrue -\input{#1}% -\ifnum\@probselN>\@probN - \PackageError{probsoln}{Requested number too large}% - {You have asked for \the\@probselN \space problems, - but there are only \the\@probN \space problems defined in the - file #1. I will only select \the\@probN \space - problems.}% - \global\@probselN=\@probN -\fi -\shuffle{@problabel}{\@probN}% -\firstpassfalse -\input{#1}% -\selectrandomfalse -\global\@rndselctr=1\relax -\whiledo{\@rndselctr < \@probselN \TE@or \@rndselctr = \@probselN}{% -\edef\@tmp{\csname @problabel\romannumeral\@rndselctr\endcsname}% -\edef\@probargs{{\@tmp}\csname @prob@\@tmp @arg\endcsname}% -\PSNitem \expandafter\useproblem\@probargs \endPSNitem -\global\advance\@rndselctr by 1\relax -}% -} -% \end{macrocode} -%\end{macro} -%\begin{macro}{\PSNitem} -% What to do at start and end of each randomly selected item: -% (I may turn this into a normal environment at a later date. At the -% moment, I have kept \verb|\PSNitem| for compatibility with earlier -% versions.) -% \begin{macrocode} -\newcommand*{\PSNitem}{\item} -\@ifundefined{endPSNitem}{\def\endPSNitem{}}{% -\PackageError{probsoln}{\string\endPSitem\ already defined}{}} -% \end{macrocode} -%\end{macro} -%\begin{macro}{\solutionname} -% How to display each solution -% \begin{macrocode} -\providecommand*{\solutionname}{Solution} -\@ifundefined{solution}{% -\newenvironment{solution}{\par\noindent\textbf{\solutionname:} }{}}{% -} -% \end{macrocode} -%\end{macro} -%\begin{macro}{\checkselected} -% Check to see if label has been selected -% \begin{macrocode} -\newcount\@ckselctr -\newcommand*{\checkselected}[1]{% -\selectedfalse -\@ckselctr=1\relax -\whiledo{\@ckselctr < \@probselN \TE@or \@ckselctr = \@probselN}{% -\ifthenelse{\equal{#1}{\csname @problabel\romannumeral\@ckselctr\endcsname}}% -{\global\selectedtrue \global\@ckselctr=\@probselN}{}% -\advance\@ckselctr by 1\relax -}% -} -% \end{macrocode} -%\end{macro} %\begin{macro}{\shuffle} % Shuffle contents of pseudo-array. For example, suppose you have -% the following definitions: |\def\fooi{A}|, |\def\fooii{B}| and -% |\def\fooiii{C}|, then |\shuffle{foo}{3}| will shuffle the -% definitions, so you may end up with, e.g.\ |\def\fooi{C}|, -% |\def\fooii{A}|, |\def\fooiii{B}|, or some other variation. +% the following definitions: "\def\fooi{A}", "\def\fooii{B}" and +% "\def\fooiii{C}", then "\shuffle{foo}{3}" will shuffle the +% definitions, so you may end up with, e.g.\ "\def\fooi{C}", +% "\def\fooii{A}", "\def\fooiii{B}", or some other variation. % \begin{macrocode} \newcount\@shfctr \newcount\@shfA \newcount\@shfB \newcommand{\shuffle}[2]{% @@ -892,15 +1528,18 @@ % \end{macrocode} %\end{macro} %\begin{macro}{\doforrandN} -% Syntax: \cs{doforrandN}\marg{n}\marg{cmd}\marg{list}\marg{text}. -% A bit like |\@for| but only for a random subset of the given list. -% For example, +%\begin{definition} +% \cs{doforrandN}\marg{n}\marg{cmd}\marg{list}\marg{text}. +%\end{definition} +% A bit like \cs{@for} but only for a random subset of the given +% list. +% For example, the following will load one problem each from two +% out of the three listed files. %\begin{verbatim} %\doforrandN{2}{\tmp}{file1,file2,file3}{% -%\selectrandomly{\tmp}{1}} +%\loadrandomproblems{1}{\tmp}} %\end{verbatim} -%This will select one problem each from two out of the three listed -%files. +% % \begin{macrocode} \newcount\@ps@forrand \newcommand{\doforrandN}[4]{% @@ -927,10 +1566,1071 @@ are only \number\@ps@forrand item(s) in the list}% }} % \end{macrocode} %\end{macro} +%\subsection{Compatibility With Older Versions} +% These commands ensure that this version is compatible with +% versions prior to v3.0 +%\begin{macro}{\newproblem} +% Defines a new problem. +% \begin{macrocode} +\newcommand*{\newproblem}{\@ifstar\@snewproblem\@newproblem} +% \end{macrocode} +%\end{macro} +%\begin{macro}{\@snewproblem} +% \begin{macrocode} +\newcommand{\@snewproblem}[3][0]{% +\begin{defproblem}[#1]{#2}% +#3% +\end{defproblem}} +% \end{macrocode} +%\end{macro} +%\begin{macro}{\@newproblem} +% \begin{macrocode} +\newcommand{\@newproblem}[4][0]{% +\begin{defproblem}[#1]{#2}% +#3% +\begin{onlysolution}% +\begin{solution}% +#4% +\end{solution}% +\end{onlysolution}% +\end{defproblem}} +% \end{macrocode} +%\end{macro} +% +%\begin{macro}{\selectallproblems} +% \begin{macrocode} +\newcommand*{\selectallproblems}[1]{{\loadallproblems[#1]{#1}}% +\foreachproblem[#1]{\PSNitem\thisproblem\endPSNitem}} +% \end{macrocode} +%\end{macro} +%\begin{macro}{\selectrandomly} +% \begin{macrocode} +\newcommand*{\selectrandomly}[2]{% +{\loadrandomproblems[#1]{#2}{#1}}% +\foreachproblem[#1]{\PSNitem\thisproblem\endPSNitem}% +} +% \end{macrocode} +%\end{macro} +%\begin{environment}{PSNitem} +% \begin{macrocode} +\newenvironment{PSNitem}{\item}{} +% \end{macrocode} +%\end{environment} +% +%\subsection{Formatting Commands} +% These commands are provided to format parts of the +% problems/solutions. +%\begin{environment}{solution} +% \begin{macrocode} +\@ifundefined{solution}{% +\newenvironment{solution}{\par\noindent\textbf{\solutionname:}}{}% +}{} +% \end{macrocode} +%\end{environment} +%\begin{macro}{\solutioname} +% \begin{macrocode} +\newcommand*{\solutionname}{Solution} +% \end{macrocode} +%\end{macro} +% Define an in-line enumeration which uses the enumeration +% environment's counters. +%\begin{environment}{textenum} +%\changes{2007 Oct 6}{2.05}{new} +% \begin{macrocode} +\newenvironment{textenum}{% +\ifnum\@enumdepth>\thr@@ + \@toodeep +\else + \advance\@enumdepth\@ne + \edef\@enumctr{enum\romannumeral\the\@enumdepth}% + \let\@item\@textitem + \def\@itemlabel{\refstepcounter{\@enumctr}% + \csname label\@enumctr\endcsname}% + \setcounter{\@enumctr}{0}% +\fi\ignorespaces}{% +\global\advance\@enumdepth\m@ne} +% \end{macrocode} +%\end{environment} +%\begin{macro}{\@textitem} +% In-line enumeration item +% \begin{macrocode} +\def\@textitem[#1]{#1\space\ignorespaces} +% \end{macrocode} +%\end{macro} +%\begin{macro}{\correctitemformat} +% \changes{2007 Oct 6}{2.05}{new} +% Indicates how to format the item label for \cs{correctitem} when +% the solutions are shown. The argument is the label. This +% defaults to placing the argument in a box. +% \begin{macrocode} +\newcommand*{\correctitemformat}[1]{\fbox{#1}} +% \end{macrocode} +%\end{macro} +%\begin{macro}{\incorrectitemformat} +% \changes{2007 Oct 6}{2.05}{new} +% Indicates how to format the item label for \cs{incorrectitem} when +% the solutions are shown. The argument is the label. This +% defaults to just the argument shifted +% by \cs{fboxsep} + \cs{fboxrule} to ensure it aligns +% with the default \cs{correctitemformat}. +% \begin{macrocode} +\newcommand*{\incorrectitemformat}[1]{% +\hspace{\fboxsep}\hspace{\fboxrule}#1} +% \end{macrocode} +%\end{macro} +% +%\begin{macro}{\correctitem} +% \changes{2007 Oct 6}{2.05}{new} +%This can be used instead of \cs{item}. If the solutions are +% not shown, it behaves like \cs{item}, otherwise, it's like +% \cs{item}, but the label is formatted according to +% \cs{correctitemformat}. +% \begin{macrocode} +\newcommand*{\correctitem}{\@inmatherr\correctitem +\@ifnextchar[\@correctitem{\@noitemargtrue\@correctitem[\@itemlabel]}} +% \end{macrocode} +% \begin{macrocode} +\def\@correctitem[#1]{% +\ifshowanswers + \@item[\correctitemformat{#1}]% +\else + \@item[#1]% +\fi} +% \end{macrocode} +%\end{macro} +% +%\begin{macro}{\incorrectitem} +% \changes{2007 Oct 6}{2.05}{new} +%This can be used instead of \cs{item}. If the solutions are +% not shown, it behaves like \cs{item}, otherwise, it's like +% \cs{item}, but the label is formatted according to +% \cs{incorrectitemformat}. +% \begin{macrocode} +\newcommand*{\incorrectitem}{\@inmatherr\incorrectitem +\@ifnextchar[\@incorrectitem{\@noitemargtrue\@incorrectitem[\@itemlabel]}} +% \end{macrocode} +% \begin{macrocode} +\def\@incorrectitem[#1]{% +\ifshowanswers + \@item[\incorrectitemformat{#1}]% +\else + \@item[#1]% +\fi} +% \end{macrocode} +%\end{macro} %\iffalse % \begin{macrocode} %</probsoln.sty> % \end{macrocode} %\fi +%\iffalse +% \begin{macrocode} +%<*1stprncp.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} + % These all involve differentiating from 1st principles + +\newproblem{dfp:xcube}{% +Differentiate $f(x) = x^3$ with respect to $x$ by first principles.}{% +\begin{eqnarray*} +\frac{dy}{dx} & = & \lim_{\Delta x\rightarrow 0}\frac{f(x+\Delta x) - f(x)}{\Delta x}\\ + & = & \lim_{\Delta x\rightarrow 0}\frac{(x+\Delta x)^3-x^3}{\Delta x}\\ + & = & \lim_{\Delta x\rightarrow 0}\frac{(x+\Delta x)(x^2+2x\Delta x+(\Delta x)^2)-x^3}{\Delta x}\\ + & = & \lim_{\Delta x\rightarrow 0}\frac{x^3+3x^2\Delta x+3x(\Delta x)^2+(\Delta x)^3-x^3}{\Delta x}\\ + & = & \lim_{\Delta x\rightarrow 0}\frac{3x^2\Delta x+3x(\Delta x)^2+(\Delta x)^3}{\Delta x}\\ + & = & \lim_{\Delta x\rightarrow 0}3x^2+3x\Delta x + (\Delta x)^2\\ + & = & 3x^2 +\end{eqnarray*}} + +\newproblem{dfp:Ioverxsq}{% +Differentiate $\displaystyle f(x) = \frac{1}{x^2}$ with respect to $x$ by first principles.}{% +\begin{eqnarray*} +\frac{df}{dx} & = & \lim_{\Delta x\rightarrow 0}\frac{\frac{1}{(x+\Delta x)^2}-\frac{1}{x^2}}{\Delta x}\\ + & = & \lim_{\Delta x\rightarrow 0}\frac{\frac{x^2-(x+\Delta x)^2}{x^2(x+\Delta x)^2}}{\Delta x}\\ + & = & \lim_{\Delta x\rightarrow 0}\frac{x^2-(x^2+2x\Delta x+(\Delta x)^2)}{x^2\Delta x(x+\Delta x)^2}\\ + & = & \lim_{\Delta x\rightarrow 0}\frac{-2x\Delta x-(\Delta x)^2}{x^2\Delta x(x+\Delta x)^2}\\ + & = & \lim_{\Delta x\rightarrow 0}\frac{-2x-\Delta x}{x^2(x+\Delta x)^2}\\ + & = & \frac{-2x}{x^2x^2}\\ + & = & -\frac{2}{x^3} +\end{eqnarray*}} + +\newproblem{dfp:sqrtx}{% +Differentiate from first principles $f(x) = \surd x$}{% +\begin{eqnarray*} +\frac{df}{dx} & = & \lim_{\Delta x\rightarrow 0}\frac{\sqrt{x+\Delta x}-\surd x}{\Delta x}\\ + & = & \lim_{\Delta x\rightarrow 0}\frac{(\sqrt{x+\Delta x}-\surd x)(\sqrt{x+\delta x}+\surd x)}{\Delta x(\sqrt{x+\Delta x}+\surd x)}\\ + & = & \lim_{\Delta x\rightarrow 0}\frac{x+\Delta x - x}{\Delta x(\sqrt{x+\Delta x}+\surd x)}\\ + & = & \lim_{\Delta x\rightarrow 0}\frac{\Delta x}{\Delta x(\sqrt{x+\Delta x}+\Delta x)}\\ + & = & \lim_{\Delta x\rightarrow 0}\frac{1}{\sqrt{x+\Delta x}+\surd x}\\ + & = & \frac{1}{2\surd x} +\end{eqnarray*}} + +\newproblem{dfp:cons}{% +Differentiate from first principles $f(x) = c$ where $c$ is a constant.}{% +\begin{eqnarray*} +\frac{df}{dx} & = & \lim_{\Delta x\rightarrow 0}\frac{c-c}{\Delta x}\\ + & = & \lim_{\Delta x\rightarrow 0}0\\ + & = & 0 +\end{eqnarray*}} + +\newproblem{dfp:cosx}{% +Given +\begin{eqnarray*} +\lim_{x \rightarrow 0} \frac{\cos x - 1}{x} & = & 0\\ +\lim_{x \rightarrow 0} \frac{\sin x}{x} & = & 1 +\end{eqnarray*} +differentiate from first principles $f(x) = \cos x$.}{% +\begin{eqnarray*} +\frac{df}{dx} & = & \lim_{\Delta x \rightarrow 0}\frac{f(x + \Delta x) - f(x)}{\Delta x}\\ + & = & \lim_{\Delta x \rightarrow 0} \frac{\cos(x + \Delta x) - \cos(x)}{\Delta x}\\ + & = & \lim_{\Delta x \rightarrow 0} \frac{\cos x\cos\Delta x - \sin x\sin\Delta x - \cos x}{\Delta x}\\ + & = & \lim_{\Delta x \rightarrow 0} \frac{\cos x(\cos\Delta x - 1) - \sin x\sin\Delta x}{\Delta x}\\ + & = & \cos x\lim_{\Delta x \rightarrow 0}\frac{\cos\Delta x - 1}{\Delta x} + - \sin x\lim_{\Delta x \rightarrow 0}\frac{\sin\Delta x}{\Delta x}\\ + & = & -1 \qquad\mbox{(using given results)} +\end{eqnarray*}} +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%</1stprncp.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%<*args.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} + % These problems require arguments + + % Arguments: #1->a_2, #2->a_1 and #3->a_0 + % (Arguments must be integers) +\newcount\ctr +\newproblem[3]{diff:quad}{% +\(f(x) = +\ifnum#1=0 +\else +\ifnum#1=1\else#1\fi x^2 +\fi +\ifnum#2=0 +\else +\ifnum#2>0 \ifnum#1=0 \else + \fi \fi +\ifnum#2=1\else#2\fi x +\fi +\ifnum#3=0 +\else +\ifnum#3>0 \ifnum#2=0 \ifnum#1=0 \else + \fi \else + \fi\fi +#3 +\fi\) +}{% +\(f'(x) = +\ifnum#1=0 +\else +\ctr=2 +\multiply\ctr by #1 +\the\ctr x +\fi +\ifnum#2=0 +\else +\ifnum#2>0 \ifnum#1=0 \else + \fi \fi +#2 +\fi + % print 0 if both #1 and #2 are 0 +\ifnum#1=0 \ifnum#2=0 0 \fi\fi +\) +} + +\newproblem[1]{diff:sin}{% +\(f(x) = \sin(#1x)\) +}{% +\(f'(x) = #1\cos(#1x)\) +} + +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%</args.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%<*easy.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} + % These are all easy differentiation problems + +\newproblem{diffeasy:gpowh}{% +\(f(x) = g(x)^{h(x)}.\)}{% +\begin{eqnarray*} +f(x) & = & e^{\ln g(x)^{h(x)}}\\ + & = & e^{h(x)\ln g(x)}\\ +f'(x) & = & e^{h(x)\ln g(x)}(h'(x)\ln g(x) + h(x)\frac{g'(x)}{g(x)})\\ + & = & g(x)^{h(x)}(h'(x)\ln g(x) + \frac{h(x)g'(x)}{g(x)}) +\end{eqnarray*}} + +\newproblem{diffeasy:arcsin}{% +\(y = \arcsin(x)\)}{% +\[\sin(y) = x\] +diff. w.r.t. $x$: +\begin{eqnarray*} +\cos y \frac{dy}{dx} & = & 1\\ +\frac{dy}{dx} & = & \frac{1}{\cos y}\\ + & = & \frac{1}{\sqrt{1 - \sin^2y}}\\ + & = & \frac{1}{\sqrt{1-x^2}}. +\end{eqnarray*}} + +\newproblem{diffeasy:arccos}{% +$y = \arccos x$.}{% +\(\cos y = x\) +diff. w.r.t. $x$: +\begin{eqnarray*} +-\sin y \frac{dy}{dx} & = & 1\\ +\frac{dy}{dx} & = & \frac{-1}{\sin y}\\ + & = & \frac{-1}{\sqrt{1-\cos^2y}}\\ + & = & \frac{-1}{\sqrt{1-x^2}} +\end{eqnarray*}} + +\newproblem{diffeasy:tan}{% +\(y = \tan x\)}{% +\begin{eqnarray*} +y & = & \tan x\\ + & = & \frac{\sin x}{\cos x}\\ +\frac{dy}{dx} & = & \frac{\cos x}{\cos x} + \sin x\times\frac{-1}{\cos^2x}\times -\sin x\\ + & = & 1 + \tan^2x\\ + & = & \sec^2x. +\end{eqnarray*}} + +\newproblem{diffeasy:arctan}{% +\(y = \arctan x = \tan^{-1}x\)}{% +\[\tan y = x\] +diff w.r.t. $x$: +\begin{eqnarray*} +\sec^2y\frac{dy}{dx} & = & 1\\ +\frac{dy}{dx} & = & \frac{1}{\sec^2y}\\ + & = & \frac{1}{1+\tan^2y}\\ + & = & \frac{1}{1+x^2} +\end{eqnarray*}} + +\newproblem{diffeasy:cot}{% +\(y = (\tan x)^{-1} = \cot x\)}{% +\begin{eqnarray*} +\frac{dy}{dx} & = & -(\tan x)^{-2}\sec^2x\\ + & = & -\frac{\cos^2x}{\sin^2x}\cdot\frac{1}{\cos^2x}\\ + & = & \frac{-1}{\sin^2x}\\ + & = & -\csc^2x. +\end{eqnarray*}} + +\newproblem{diffeasy:cosxsqsinx}{% +$y = \cos(x^2)\sin x$.}{% +\[\frac{dy}{dx} = -\sin(x^2)2x\sin x + \cos(x^2)\cos x\]} + +\newproblem{diffeasy:xlnx}{% +$y = (x+1)\ln(x+1)$.}{% +\begin{eqnarray*} +\frac{dy}{dx} & = & \ln(x+1) + \frac{x+1}{x+1}\\ + & = & 1 + \ln(x+1). +\end{eqnarray*}} + +\newproblem{diffeasy:glng}{% +$f(x) = g(x)\ln(g(x))$.}{% +\begin{eqnarray*} +f'(x) & = & g'(x)\ln(g(x)) + \frac{g(x)}{g(x)}g'(x)\\ + & = & g'(x)(1+\ln(g(x))). +\end{eqnarray*}} + +\newproblem{diffeasy:sinx/x}{% +$y = \frac{\sin x}{x}$.}{% +\[\frac{dy}{dx} = \frac{\cos x}{x} - \frac{\sin x}{x^2}\]} + +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%</easy.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%<*easy2.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} + % These are all easy differentiation problems + +\begin{defproblem}{diffeasy:gpowh}% +\begin{onlyproblem}% +\(f(x) = g(x)^{h(x)}.\)% +\end{onlyproblem}% +\begin{onlysolution}% +\begin{eqnarray*} +f(x) & = & e^{\ln g(x)^{h(x)}}\\ + & = & e^{h(x)\ln g(x)}\\ +f'(x) & = & e^{h(x)\ln g(x)}(h'(x)\ln g(x) + h(x)\frac{g'(x)}{g(x)})\\ + & = & g(x)^{h(x)}(h'(x)\ln g(x) + \frac{h(x)g'(x)}{g(x)}) +\end{eqnarray*}% +\end{onlysolution}% +\end{defproblem} + +\begin{defproblem}{diffeasy:arcsin}% +\begin{onlyproblem}% +\(y = \arcsin(x)\)% +\end{onlyproblem}% +\begin{onlysolution}% +\[\sin(y) = x\] +diff. w.r.t. $x$: +\begin{eqnarray*} +\cos y \frac{dy}{dx} & = & 1\\ +\frac{dy}{dx} & = & \frac{1}{\cos y}\\ + & = & \frac{1}{\sqrt{1 - \sin^2y}}\\ + & = & \frac{1}{\sqrt{1-x^2}}. +\end{eqnarray*} +\end{onlysolution}% +\end{defproblem} + +\begin{defproblem}{diffeasy:arccos}% +\begin{onlyproblem}% +$y = \arccos x$.% +\end{onlyproblem}% +\begin{onlysolution}% +\(\cos y = x\) +diff. w.r.t. $x$: +\begin{eqnarray*} +-\sin y \frac{dy}{dx} & = & 1\\ +\frac{dy}{dx} & = & \frac{-1}{\sin y}\\ + & = & \frac{-1}{\sqrt{1-\cos^2y}}\\ + & = & \frac{-1}{\sqrt{1-x^2}} +\end{eqnarray*} +\end{onlysolution}% +\end{defproblem} + +\begin{defproblem}{diffeasy:tan}% +\begin{onlyproblem}% +\(y = \tan x\)% +\end{onlyproblem} +\begin{onlysolution}% +\begin{eqnarray*} +y & = & \tan x\\ + & = & \frac{\sin x}{\cos x}\\ +\frac{dy}{dx} & = & \frac{\cos x}{\cos x} + \sin x\times\frac{-1}{\cos^2x}\times -\sin x\\ + & = & 1 + \tan^2x\\ + & = & \sec^2x. +\end{eqnarray*} +\end{onlysolution}% +\end{defproblem} + +\begin{defproblem}{diffeasy:arctan}% +\begin{onlyproblem}% +\(y = \arctan x = \tan^{-1}x\)% +\end{onlyproblem}% +\begin{onlysolution}% +\[\tan y = x\] +diff w.r.t. $x$: +\begin{eqnarray*} +\sec^2y\frac{dy}{dx} & = & 1\\ +\frac{dy}{dx} & = & \frac{1}{\sec^2y}\\ + & = & \frac{1}{1+\tan^2y}\\ + & = & \frac{1}{1+x^2} +\end{eqnarray*} +\end{onlysolution}% +\end{defproblem} + +\begin{defproblem}{diffeasy:cot}% +\begin{onlyproblem}% +\(y = (\tan x)^{-1} = \cot x\)% +\end{onlyproblem} +\begin{onlysolution}% +\begin{eqnarray*} +\frac{dy}{dx} & = & -(\tan x)^{-2}\sec^2x\\ + & = & -\frac{\cos^2x}{\sin^2x}\cdot\frac{1}{\cos^2x}\\ + & = & \frac{-1}{\sin^2x}\\ + & = & -\csc^2x. +\end{eqnarray*} +\end{onlysolution}% +\end{defproblem} + +\begin{defproblem}{diffeasy:cosxsqsinx}% +\begin{onlyproblem}% +$y = \cos(x^2)\sin x$.% +\end{onlyproblem}% +\begin{onlysolution}% +\[\frac{dy}{dx} = -\sin(x^2)2x\sin x + \cos(x^2)\cos x\] +\end{onlysolution}% +\end{defproblem} + +\begin{defproblem}{diffeasy:xlnx}% +\begin{onlyproblem}% +$y = (x+1)\ln(x+1)$. +\end{onlyproblem}% +\begin{onlysolution}% +\begin{eqnarray*} +\frac{dy}{dx} & = & \ln(x+1) + \frac{x+1}{x+1}\\ + & = & 1 + \ln(x+1). +\end{eqnarray*} +\end{onlysolution} +\end{defproblem} + +\begin{defproblem}{diffeasy:glng}% +\begin{onlyproblem}% +$f(x) = g(x)\ln(g(x))$. +\end{onlyproblem} +\begin{onlysolution}% +\begin{eqnarray*} +f'(x) & = & g'(x)\ln(g(x)) + \frac{g(x)}{g(x)}g'(x)\\ + & = & g'(x)(1+\ln(g(x))). +\end{eqnarray*} +\end{onlysolution}% +\end{defproblem} + +\begin{defproblem}{diffeasy:sinx/x} +\begin{onlyproblem}% +$y = \frac{\sin x}{x}$. +\end{onlyproblem} +\begin{onlysolution}% +\[\frac{dy}{dx} = \frac{\cos x}{x} - \frac{\sin x}{x^2}\] +\end{onlysolution}% +\end{defproblem} + +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%</easy2.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%<*implicit.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} + % These are all implicit differentiation problems + +\newproblem{imd:circ}{% +Find the gradient of the unit circle ($x^2 + y^2 = 1$).}{% +Differentiating with respect to $x$ gives: +\begin{eqnarray*} +2x + 2y\frac{dy}{dx} & = & 0\\ +\frac{dy}{dx} & = & \frac{-2x}{2y}\\ + & = & \frac{-x}{\sqrt{1-x^2}}. +\end{eqnarray*}} + +\newproblem{imd:ysq:xcuov2mx}{% +Find $\frac{dy}{dx}$, given +\begin{displaymath} +y^2 = \frac{x^3}{2-x} +\end{displaymath}}{% +Differentiating both sides w.r.t.\ $x$: +\begin{eqnarray*} +2y\frac{dy}{dx} & = & \frac{(2-x)3x^2 - x^3(-1)}{(2-x)^2}\\ + & = & \frac{3x^2(2-x) + x^3}{(2-x)^2}\\ + & = & \frac{6x^2 - 3x^3 + x^3}{(2-x)^2}\\ + & = & \frac{6x^2-2x^3}{(2-x)^2}\\ + & = & 2x^2\frac{3-x}{(2-x)^2} +\end{eqnarray*} +Therefore +\begin{displaymath} +y\frac{dy}{dx} = x^2\frac{3-x}{(2-x)^2} +\end{displaymath}} + +\newproblem{imd:exy:IIxay}{% +Differentiate w.r.t.\ $x$: +\begin{displaymath} +e^{xy} = 2x + y +\end{displaymath}}{% +Differentiating both sides w.r.t.\ $x$: +\begin{eqnarray*} +e^{xy}(1y + x\frac{dy}{dx}) & = & 2 + \frac{dy}{dx}\\ +xe^{xy}\frac{dy}{dx} - \frac{dy}{dx} & = & 2 - ye^{xy} \\ +\frac{dy}{dx}(xe^{xy}-1) & = & 2 - ye^{xy}\\ +\frac{dy}{dx} & = & \frac{2-ye^{xy}}{xe^{xy}-1} +\end{eqnarray*}} +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%</implicit.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%<*mchoice.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +\newproblem{mc:prod}{% +Which of the following is the derivative of $x\sin(x)$? +(Circle the correct answer.) +\ifthenelse{\boolean{showanswers}}{}% +{\begin{description} +\item[A] $\sin(x)$ +\item[B] $x\cos(x)$ +\item[C] $\sin(x) + x\cos(x)$ +\end{description} +}}{% +\begin{description} +\item[A] $\sin(x)$ +\item[B] $x\cos(x)$ +\item[\textcircled{C}] $\sin(x) + x\cos(x)$ (product rule). +\end{description} +} + +\newproblem{mc:quot}{% +Which of the following is the derivative of $\frac{\sin(x)}{x}$? +(Circle the correct answer.) +\ifthenelse{\boolean{showanswers}}{}% +{\begin{description} +\item[A] $\sin(x)$ +\item[B] $\cos(x)$ +\item[C] $\frac{\cos(x)x-\sin(x)}{x^2}$ +\end{description} +}}{% +\begin{description} +\item[A] $\sin(x)$ +\item[B] $\cos(x)$ +\item[\textcircled{C}] $\frac{\cos(x)x-\sin(x)}{x^2}$ +(quotient rule) +\end{description} +} +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%</mchoice.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%<*newdata.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +\begin{defproblem}{sample} +\begin{onlyproblem} +Differentiate $y=\sin x$ +\end{onlyproblem} +\begin{onlysolution} +$y'=\cos x$ +\end{onlysolution} +\end{defproblem} + +\begin{defproblem}[1]{sample2} +\begin{onlyproblem} +Differentiate $y = \sin(#1x)$ +\end{onlyproblem} +\begin{onlysolution} +$y'=#1\cos #1x$ +\end{onlysolution} +\end{defproblem} + +\begin{defproblem}{sample3} +\begin{onlyproblem} +Differentiate $y = x^2$. +\end{onlyproblem} +\begin{onlysolution} +$y' = 2x$ +\end{onlysolution} +\end{defproblem} +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%</newdata.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%<*nosoln.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} + % these problems don't have solutions + +\newproblem*{oop}{Describe what is meant by object-oriented +programming.} + +\newproblem*{inheritance}{Describe what is meant by the term +\emph{inheritance} in object-oriented programming. Use examples.} +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%</nosoln.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%<*probspaces.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} + % Finite probability spaces +\newproblem{weightedcoin}{% +A coin is weighted so that heads is four times as likely +as tails. Find the probability that: +\begin{textenum} +\item tails appears, +\item heads appears +\end{textenum}}{% +Let $p=P(T)$, then $P(H)=4p$. We require $P(H)+P(T)=1$, +so $4p+p=1$, hence $p=\frac{1}{5}$. Therefore: +\begin{textenum} +\item $P(T)=\frac{1}{5}$, +\item $P(H)=\frac{4}{5}$ +\end{textenum}} + +\newproblem*{validprobspaces}{% +Under which of the following functions does +$S=\{a_1,a_2\}$ become a probability space? +\par +\begin{textenum} +\begin{tabular}{ll} +\incorrectitem $P(a_1)=\frac{1}{3}$, $P(a_2)=\frac{1}{2}$ +& +\correctitem $P(a_1)=\frac{3}{4}$, $P(a_2)=\frac{1}{4}$ +\\ +\correctitem $P(a_1)=1$, $P(a_2)=0$ +& +\incorrectitem $P(a_1)=\frac{5}{4}$, $P(a_2)=-\frac{1}{4}$ +\end{tabular} +\end{textenum} +} +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%</probspaces.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%<*probspaces2.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} + % Finite probability spaces +\begin{defproblem}{weightedcoin} +\begin{onlyproblem}% +A coin is weighted so that heads is four times as likely +as tails. Find the probability that: +\begin{textenum} +\item tails appears, +\item heads appears +\end{textenum} +\end{onlyproblem} +\begin{onlysolution}% +Let $p=P(T)$, then $P(H)=4p$. We require $P(H)+P(T)=1$, +so $4p+p=1$, hence $p=\frac{1}{5}$. Therefore: +\begin{textenum} +\item $P(T)=\frac{1}{5}$, +\item $P(H)=\frac{4}{5}$ +\end{textenum} +\end{onlysolution} +\end{defproblem} + +\begin{defproblem}{validprobspaces} +\begin{onlyproblem}% +Under which of the following functions does +$S=\{a_1,a_2\}$ become a probability space? +\par +\begin{textenum} +\begin{tabular}{ll} +\item $P(a_1)=\frac{1}{3}$, $P(a_2)=\frac{1}{2}$ +& +\item\label{validprobspacescorrect1} $P(a_1)=\frac{3}{4}$, $P(a_2)=\frac{1}{4}$ +\\ +\item\label{validprobspacescorrect2} $P(a_1)=1$, $P(a_2)=0$ +& +\item $P(a_1)=\frac{5}{4}$, $P(a_2)=-\frac{1}{4}$ +\end{tabular} +\end{textenum} +\end{onlyproblem}% +\begin{onlysolution}% +\ref{validprobspacescorrect1} and \ref{validprobspacescorrect2}% +\end{onlysolution} +\end{defproblem} +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%</probspaces2.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%<*sample.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +\documentclass[a4paper]{article} + +\usepackage{probsoln} + %uncomment the following line to display the answers +\showanswers + + % The following will generate a different set of + % problems in subsequent years + %\PSNrandseed{\year} +\PSNrandseed{2007} + +\begin{document} +\title{Sample Problem Sheet} +\author{Nicola Talbot} +\maketitle + +\begin{enumerate} + % Differentiation from first principles +\selectrandomly{1stprncp}{1} + +\item Differentiate the following functions: +\newcount\oldseed +\PSNgetrandseed\oldseed +\begin{enumerate} +\selectrandomly{easy}{5} +\end{enumerate} +\PSNrandseed\oldseed + + % Implicit differentiation +\selectrandomly{implicit}{2} + + % Finite probability spaces +\selectrandomly{probspaces}{2} + + % Multiple choice question +\selectrandomly{mchoice}{1} + + % select one essay style question that doesn't come with a solution + +\selectrandomly{nosoln}{1} +\end{enumerate} +\end{document} +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%</sample.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%<*sample2.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +\documentclass[a4paper]{article} + +\usepackage{probsoln} + %uncomment the following line to display the answers +\showanswers + + % The following will generate a different set of + % problems in subsequent years + %\PSNrandseed{\year} + + % The following will generate a different set of + % problems on every run (where each run is at + % least a minute apart from the previous one) +\PSNrandseed{\time} + +\begin{document} +\title{Sample Problem Sheet} +\author{Nicola Talbot} +\maketitle + +\begin{enumerate} + +\newcounter{numproblems} + % store a random number from 1 to 3 in the counter numproblems +\random{numproblems}{1}{3} + + % selects 1,2 or 3 problems from 1 of the given files: +\doforrandN{1}{\file}{1stprncp,implicit}{\selectrandomly{\file}{\value{numproblems}}} + +\item Differentiate the following functions: +\input{args}% load database +\begin{enumerate} +\newcounter{A} +\newcounter{B} +\newcounter{C} +\random{A}{-4}{5} +\random{B}{-3}{3} +\random{C}{-1}{10} +\item \useproblem{diff:quad}{\arabic{A}}{\arabic{B}}{\arabic{C}} + +\random{A}{-5}{5} + % make sure its not 0 +\whiledo{\value{A}=0}{\random{A}{-5}{5}} +\item \useproblem{diff:sin}{\arabic{A}} +\end{enumerate} +\end{enumerate} +\end{document} +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%</sample2.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%<*sample3.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +\documentclass[a4paper]{article} + +\usepackage{longtable} +\usepackage{probsoln} + + %\showanswers + +\newcounter{problem} +\renewcommand{\PSNitem}{\refstepcounter{problem}% +\theproblem. } +\renewcommand{\endPSNitem}{\\} + +\renewenvironment{solution}{}{} + +\newcommand{\selected}{\fbox{$\times$}} +\newcommand{\notselected}{\fbox{\phantom{$\times$}}} + +\begin{document} +\begin{longtable}{lrrrl} +\bfseries Question & \bfseries A & \bfseries B & +\bfseries C & \ifshowanswers \bfseries Reason\fi\\ +\selectrandomly{tabmchoice}{2} +\end{longtable} +\end{document} +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%</sample3.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%<*sample4.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +\documentclass[a4paper]{article} + +\usepackage{probsoln} + + % Sample file illustrating use of \selectallproblems + % All problems defined in specified file will be used + % in order of definition + +\showanswers + +\begin{document} +Differentiate the following functions: +\begin{enumerate} +\selectallproblems{easy} +\end{enumerate} +\end{document} +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%</sample4.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%<*sample5.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +\documentclass[a4paper]{report} + +\usepackage{probsoln} + +\begin{document} + +\hideanswers + +\chapter{Easy Problems} +\loadrandomproblems[easyproblems]{5}{easy2} + +\renewcommand{\theenumi}{\thechapter.\arabic{enumi}} +\begin{enumerate} +\foreachproblem[easyproblems]{\item\label{prob:\thisproblemlabel}\thisproblem} +\end{enumerate} + +\chapter{Probability Spaces} +\loadrandomproblems[probspaces]{2}{probspaces2} + +\renewcommand{\theenumi}{\thechapter.\arabic{enumi}} +\begin{enumerate} +\foreachproblem[probspaces]{\item\label{prob:\thisproblemlabel}\thisproblem} +\end{enumerate} + +\appendix +\chapter{Solutions} +\showanswers +\begin{enumerate} +\foreachdataset{\thisdataset}{% +\foreachproblem[\thisdataset]{\item[\ref{prob:\thisproblemlabel}]\thisproblem} +} +\end{enumerate} + +\end{document} +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%</sample5.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%<*tabmchoice.tex> +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} + % These problems are designed to be placed in a + % tabular environment + % +\newproblem{tab:1}{% +What is $(3+2)\times5$? & +25 \ifshowanswers\selected\else\notselected\fi & +13 \notselected & +10 \notselected & +}{Brackets come first}% + +\newproblem{tab:2}{% +What is $-1+2\times3$? & +3 \notselected & +-7 \notselected & +5 \ifshowanswers\selected\else\notselected\fi & +}{Multiplication comes first}% +% \end{macrocode} +%\fi +%\iffalse +% \begin{macrocode} +%</tabmchoice.tex> +% \end{macrocode} +%\fi %\Finale \endinput diff --git a/Master/texmf-dist/source/latex/probsoln/probsoln.ins b/Master/texmf-dist/source/latex/probsoln/probsoln.ins index d38d1a5f179..f9233c99474 100644 --- a/Master/texmf-dist/source/latex/probsoln/probsoln.ins +++ b/Master/texmf-dist/source/latex/probsoln/probsoln.ins @@ -1,10 +1,10 @@ -% probsoln.ins generated using makedtx version 0.94b 2007/8/21 16:58 +% probsoln.ins generated using makedtx version 0.94b 2008/8/27 14:19 \input docstrip \preamble probsoln.dtx - Copyright 2007 Nicola Talbot + Copyright 2008 Nicola Talbot This work may be distributed and/or modified under the conditions of the LaTeX Project Public License, either version 1.3 @@ -18,7 +18,7 @@ The Current Maintainer of this work is Nicola Talbot. - This work consists of the files probsoln.dtx and probsoln.ins and the derived file probsoln.sty. + This work consists of the files probsoln.dtx and probsoln.ins and the derived files probsoln.sty, 1stprncp.tex, args.tex, easy.tex, easy2.tex, implicit.tex, mchoice.tex, newdata.tex, nosoln.tex, probspaces.tex, probspaces2.tex, sample.tex, sample2.tex, sample3.tex, sample4.tex, sample5.tex, tabmchoice.tex. \endpreamble @@ -26,6 +26,22 @@ \generate{\file{probsoln.sty}{\usepreamble\defaultpreamble \usepostamble\defaultpostamble\from{probsoln.dtx}{probsoln.sty,package}} +\file{1stprncp.tex}{\nopreamble\nopostamble\from{probsoln.dtx}{1stprncp.tex}} +\file{args.tex}{\nopreamble\nopostamble\from{probsoln.dtx}{args.tex}} +\file{easy.tex}{\nopreamble\nopostamble\from{probsoln.dtx}{easy.tex}} +\file{easy2.tex}{\nopreamble\nopostamble\from{probsoln.dtx}{easy2.tex}} +\file{implicit.tex}{\nopreamble\nopostamble\from{probsoln.dtx}{implicit.tex}} +\file{mchoice.tex}{\nopreamble\nopostamble\from{probsoln.dtx}{mchoice.tex}} +\file{newdata.tex}{\nopreamble\nopostamble\from{probsoln.dtx}{newdata.tex}} +\file{nosoln.tex}{\nopreamble\nopostamble\from{probsoln.dtx}{nosoln.tex}} +\file{probspaces.tex}{\nopreamble\nopostamble\from{probsoln.dtx}{probspaces.tex}} +\file{probspaces2.tex}{\nopreamble\nopostamble\from{probsoln.dtx}{probspaces2.tex}} +\file{sample.tex}{\nopreamble\nopostamble\from{probsoln.dtx}{sample.tex}} +\file{sample2.tex}{\nopreamble\nopostamble\from{probsoln.dtx}{sample2.tex}} +\file{sample3.tex}{\nopreamble\nopostamble\from{probsoln.dtx}{sample3.tex}} +\file{sample4.tex}{\nopreamble\nopostamble\from{probsoln.dtx}{sample4.tex}} +\file{sample5.tex}{\nopreamble\nopostamble\from{probsoln.dtx}{sample5.tex}} +\file{tabmchoice.tex}{\nopreamble\nopostamble\from{probsoln.dtx}{tabmchoice.tex}} } \endbatchfile diff --git a/Master/texmf-dist/tex/latex/probsoln/probsoln.sty b/Master/texmf-dist/tex/latex/probsoln/probsoln.sty index 768917f9a96..fe9a6d3b2b6 100644 --- a/Master/texmf-dist/tex/latex/probsoln/probsoln.sty +++ b/Master/texmf-dist/tex/latex/probsoln/probsoln.sty @@ -7,7 +7,7 @@ %% probsoln.dtx (with options: `probsoln.sty,package') %% %% probsoln.dtx -%% Copyright 2007 Nicola Talbot +%% Copyright 2008 Nicola Talbot %% %% This work may be distributed and/or modified under the %% conditions of the LaTeX Project Public License, either version 1.3 @@ -21,7 +21,7 @@ %% %% The Current Maintainer of this work is Nicola Talbot. %% -%% This work consists of the files probsoln.dtx and probsoln.ins and the derived file probsoln.sty. +%% This work consists of the files probsoln.dtx and probsoln.ins and the derived files probsoln.sty, 1stprncp.tex, args.tex, easy.tex, easy2.tex, implicit.tex, mchoice.tex, newdata.tex, nosoln.tex, probspaces.tex, probspaces2.tex, sample.tex, sample2.tex, sample3.tex, sample4.tex, sample5.tex, tabmchoice.tex. %% %% \CharacterTable %% {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 @@ -38,95 +38,287 @@ %% Right bracket \] Circumflex \^ Underscore \_ %% Grave accent \` Left brace \{ Vertical bar \| %% Right brace \} Tilde \~} +%% randomly select 25 problems from derivatives.tex and add to +%% the data set called 'deriv' +%% Display the problems +%% You may need to change \theenumi back here +%% randomly select 25 problems from probspaces.tex and add to +%% the data set called 'spaces' +%% Display the problems +%% You may need to change \theenumi back here \NeedsTeXFormat{LaTeX2e} -\ProvidesPackage{probsoln}[2007/08/21 v2.04 Problems and their Solutions Package (NLCT)] +\ProvidesPackage{probsoln}[2008/08/25 v3.0 (NLCT)] \RequirePackage{ifthen} -\provideboolean{showanswers} -\let\showanswers=\showanswerstrue -\let\hideanswers=\showanswersfalse +\RequirePackage{substr} +\RequirePackage{amsmath} +\newif\ifshowanswers +\showanswersfalse +\let\showanswers\showanswerstrue +\let\hideanswers\showanswersfalse \DeclareOption{answers}{\showanswerstrue} \DeclareOption{noanswers}{\showanswersfalse} -\ExecuteOptions{noanswers} +\newcommand*{\prob@showdraftlabel}[2]{} +\newcommand*{\draftproblemlabel}[2]{[#1,#2]} +\DeclareOption{draft}{% +\renewcommand*{\prob@showdraftlabel}[2]{\draftproblemlabel{#1}{#2}}} +\DeclareOption{final}{% +\renewcommand*{\prob@showdraftlabel}[2]{}} \ProcessOptions -\newif\ifselectrandom \selectrandomfalse -\newif\iffirstpass -\newif\ifselected -\newcommand{\newproblem}{\@ifstar\@snewproblem\@newproblem} -\newcommand{\@newproblem}[4][0]{% -\ifselectrandom -\iffirstpass -\global\advance\@probN by 1 -\expandafter\gdef\csname @problabel\romannumeral\@probN\endcsname{#2}% -\else -\checkselected{#2}% -\ifselected -\@ifundefined{@prob@#2}{% -\ifnum#1=0 -\expandafter\gdef\csname @prob@#2\endcsname{% -#3 \ifshowanswers\begin{solution}#4\end{solution}\fi}% -\expandafter\gdef\csname @prob@#2@arg\endcsname{\relax}% -\else -\message{Problem #2 requires #1 argument(s), please specify (e.g. {5}{3}):}% -\read-1to\@tmp -\expandafter\xdef\csname @prob@#2@arg\endcsname{\@tmp}% -\expandafter\global\expandafter\newcommand\csname @prob@#2\endcsname[#1]{% -#3 \ifshowanswers\begin{solution}#4\end{solution}\fi}% -\fi -}{% -\PackageError{probsoln}{Label #2 already used}% -{Each problem must have a unique label identifier}% +\newcommand*{\prob@db@default}{} +\newcommand*{\prob@databases}{default} +\newcommand*{\prob@newdb}[1]{% +\@ifundefined{prob@db@#1}{% + \expandafter\gdef\csname prob@db@#1\endcsname{}% + \xdef\prob@databases{\prob@databases,#1}% + }{% + \PackageError{probsoln}{Data set `#1' is already defined}{}}} +\newcommand*{\prob@currentdb}{default} +\newcommand{\moveproblem}[3]{% +\@moveproblem{#1}{#2}{#3}% +\expandafter\let\expandafter\@tmpdblist + \csname prob@db@#2\endcsname +\expandafter\gdef\csname prob@db@#2\endcsname{}% +\@for\@tmplab:=\@tmpdblist\do{% + \ifthenelse{\equal{\@tmplab}{#1}}{}{% + \expandafter\ifx\csname prob@db@#2\endcsname\@empty + \expandafter\xdef\csname prob@db@#2\endcsname{\@tmplab}% + \else + \expandafter\xdef\csname prob@db@#2\endcsname{% + \csname prob@db@#2\endcsname,% + \@tmplab}% + \fi + }% }% -\fi -\fi -\else -\@ifundefined{@prob@#2}{% -\expandafter\global\expandafter\newcommand\csname @prob@#2\endcsname[#1]{% -#3 \ifshowanswers\begin{solution}#4\end{solution}\fi}% -}{% -\PackageError{probsoln}{Label #2 already used}% -{Each problem must have a unique label identifier}% } -\fi +\newcommand*{\@moveproblem}[3]{% + \expandafter\ifx\csname prob@db@#3\endcsname\@empty + \expandafter\xdef\csname prob@db@#3\endcsname{#1}% + \else + \expandafter\xdef\csname prob@db@#3\endcsname{% + \csname prob@db@#3\endcsname,#1}% + \fi + \edef\do@movedata{% + \noexpand\global\noexpand\let\expandafter\noexpand + \csname prob@data@#3@#1\endcsname=% + \expandafter\noexpand\csname prob@data@#2@#1\endcsname + \noexpand\global\noexpand\let + \expandafter\noexpand + \csname prob@data@#2@#1\endcsname=\noexpand\undefined + }% + \do@movedata + \edef\do@moveargN{% + \noexpand\global\noexpand\let\expandafter\noexpand + \csname prob@argN@#3@#1\endcsname=% + \expandafter\noexpand\csname prob@argN@#2@#1\endcsname + \noexpand\global\noexpand\let + \expandafter\noexpand + \csname prob@argN@#2@#1\endcsname=\noexpand\undefined + }% + \do@moveargN + \@ifundefined{prob@args@#2@#1}{}{% + \edef\do@moveargs{% + \noexpand\global\noexpand\let\expandafter\noexpand + \csname prob@args@#3@#1\endcsname=% + \expandafter\noexpand\csname prob@args@#2@#1\endcsname + \noexpand\global\noexpand\let + \expandafter\noexpand + \csname prob@args@#2@#1\endcsname=\noexpand\undefined + }% + \do@moveargs + }% } -\newcommand{\@snewproblem}[3][0]{% -\ifselectrandom -\iffirstpass -\global\advance\@probN by 1 -\expandafter\gdef\csname @problabel\romannumeral\@probN\endcsname{#2}% -\else -\checkselected{#2}% -\ifselected -\@ifundefined{@prob@#2}{% -\ifnum#1=0 -\expandafter\gdef\csname @prob@#2\endcsname{#3}% -\expandafter\gdef\csname @prob@#2@arg\endcsname{\relax}% +\newcommand{\prob@newproblem}[4]{% +\@ifundefined{prob@db@#2}{\prob@newdb{#2}}{}% +\@ifundefined{prob@data@#2@#3}{% +\let\@tmp=\undefined +\newcommand\@tmp[#1]{#4}% +\expandafter\global\expandafter\let + \csname prob@data@#2@#3\endcsname=\@tmp +\expandafter\xdef\csname prob@argN@#2@#3\endcsname{\number#1}% +\let\@tmp=\undefined +\expandafter\ifx\csname prob@db@#2\endcsname\@empty + \expandafter\xdef\csname prob@db@#2\endcsname{#3}% \else -\message{Problem #2 requires #1 argument(s), please specify (e.g. {5}{3}):}% -\read-1to\@tmp -\expandafter\xdef\csname @prob@#2@arg\endcsname{\@tmp}% -\expandafter\global\expandafter\newcommand\csname @prob@#2\endcsname[#1]{#3}% -\fi -}{% -\PackageError{probsoln}{Label #2 already used}% -{Each problem must have a unique label identifier}% -}% + \expandafter\xdef\csname prob@db@#2\endcsname{% + \csname prob@db@#2\endcsname,#3}% \fi +\ifnum#1>0\relax + \@prob@do@getargs{#1}{#2}{#3}% \fi + }{% + \PackageError{probsoln}{Problem `#3' is already defined for + data base `#2'}{Problem labels must be unique for each data base}}% +} +\newcommand{\@prob@gobblethree}[3]{} +\newcommand{\@prob@getargs}[3]{% +\message{Problem `#3' (in data base `#2') requires #1 argument(s).^^J +Please specify (e.g. {5}{3}):}% +\read-1to\@tmp +\expandafter\global\expandafter\let + \csname prob@args@#2@#3\endcsname=\@tmp +} +\let\@prob@do@getargs\@prob@gobblethree +\long\def\long@collect@body#1{% + \@envbody{\@xp#1\@xp{\the\@envbody}}% + \edef\process@envbody{\the\@envbody\@nx\end{\@currenvir}}% + \@envbody\@emptytoks \def\begin@stack{b}% + \begingroup + \@xp\let\csname\@currenvir\endcsname\long@collect@@body + \edef\process@envbody{\@xp\@nx\csname\@currenvir\endcsname}% + \process@envbody +} +\long\def\long@addto@envbody#1{\global\@envbody\@xp{\the\@envbody#1}} +\long\def\long@collect@@body#1\end#2{% + \edef\begin@stack{\long@push@begins#1\begin\end \@xp\@gobble\begin@stack}% + \ifx\@empty\begin@stack + \endgroup + \@checkend{#2}% + \long@addto@envbody{#1}% + \else + \long@addto@envbody{#1\end{#2}}% + \fi + \process@envbody +} +\long\def\long@push@begins#1\begin#2{% + \ifx\end#2\else b\@xp\long@push@begins\fi +} +\newenvironment{defproblem}[2][0]{% + \def\@prob@currentargN{#1}% + \def\@prob@currentlabel{#2}% + \long@collect@body\prob@do@defproblem +}{} +\newcommand{\prob@do@newproblem}[1]{% +\prob@newproblem\@prob@currentargN\prob@currentdb + \@prob@currentlabel{#1}} +\let\prob@do@defproblem=\prob@do@newproblem +\newenvironment{onlysolution}{% + \long@collect@body\do@onlysolution +}{} +\newcommand{\do@onlysolution}[1]{% +\ifshowanswers + #1% +\fi} +\newenvironment{onlyproblem}{% + \long@collect@body\do@onlyproblem +}{} +\newcommand{\do@onlyproblem}[1]{% +\ifshowanswers \else -\@ifundefined{@prob@#2}{% -\expandafter\global\expandafter\newcommand\csname @prob@#2\endcsname[#1]{#3}% + #1% +\fi} +\newcommand{\useproblem}[2][default]{% +\prob@showdraftlabel{#1}{#2}% +\let\@next=\relax +\@ifundefined{prob@data@#1@#2}{% + \PackageError{probsoln}{Problem `#2' is not defined in data set + `#1'}{}% }{% -\PackageError{probsoln}{Label #2 already used}% -{Each problem must have a unique label identifier}% + \def\@next{\csname prob@data@#1@#2\endcsname}% +}% +\@next} +\newcommand*{\loadallproblems}[2][default]{% +\bgroup + \let\par\relax + \edef\prob@currentdb{#1}% + \input{#2}% +\egroup +} +\newcommand{\prob@do@selectedproblem}[1]{% +\IfSubStringInString{,\@prob@currentlabel,}{,\prob@selectedlabels,}{% +\prob@do@newproblem{#1}}{}% +} +\newcommand{\loadselectedproblems}[3][default]{% +\bgroup + \let\par\relax + \edef\prob@currentdb{#1}% + \edef\prob@selectedlabels{#2}% + \let\prob@do@defproblem=\prob@do@selectedproblem + \input{#3}% +\egroup } +\newcommand{\prob@add@currentlabel}[1]{% +\ifx\prob@selectedlabels\@empty + \xdef\prob@selectedlabels{\@prob@currentlabel}% +\else + \xdef\prob@selectedlabels{\prob@selectedlabels,\@prob@currentlabel}% \fi } -\newcommand*{\useproblem}[1]{% -\@ifundefined{@prob@#1}{% -\PackageError{probsoln}{Label #1 undefined}% -{Can't find problem defined with label identifier `#1'}% -}{\csname @prob@#1\endcsname}% +\newif\iffirstpass +\firstpasstrue +\newcommand{\loadrandomproblems}[3][default]{% +\bgroup + \let\par\relax + \def\prob@db@reserved{}% + \def\prob@currentdb{reserved}% + \edef\prob@selectedlabels{}% + \let\prob@do@defproblem=\prob@add@currentlabel + \firstpasstrue + \input{#3}% + \@probselN=0\relax + \@for\@thislabel:=\prob@selectedlabels\do{% + \advance\@probselN by 1\relax + \expandafter + \edef\csname @prob@tmp@\romannumeral\@probselN\endcsname{% + \@thislabel}% + }% + \shuffle{@prob@tmp@}{\@probselN}% + \ifnum\@probselN<#2\relax + \PackageError{probsoln}{% + Can't select \number#2\space\space problem(s):^^J + '#3' only contains \number\@probselN\space problem(s)}{% + Only \number\@probselN\space problem(s) will be selected}% + \else + \@probselN=#2\relax + \fi + \@probN=0\relax + \def\prob@selectedlabels{}% + \whiledo{\@probN<\@probselN}{% + \advance\@probN by 1\relax + \ifx\prob@selectedlabels\@empty + \edef\prob@selectedlabels{% + \csname @prob@tmp@\romannumeral\@probN\endcsname}% + \else + \edef\prob@selectedlabels{% + \prob@selectedlabels,% + \csname @prob@tmp@\romannumeral\@probN\endcsname}% + \fi + }% + \let\prob@do@defproblem=\prob@do@selectedproblem + \firstpassfalse + \input{#3}% +\@ifundefined{prob@db@#1}{\prob@newdb{#1}}{}% +\@for\@thislabel:=\prob@selectedlabels\do{% + \@moveproblem{\@thislabel}{reserved}{#1}% +}% + \let\prob@selectedlabels=\undefined +\egroup +} +\newcommand{\foreachproblem}[2][default]{% +\@ifundefined{prob@db@#1}{% + \PackageError{probsoln}{Data base `#1' is not defined}{}% +}{% + \expandafter\let\expandafter\@tmp\csname prob@db@#1\endcsname + \@for\thisproblemlabel:=\@tmp\do{% + \expandafter\ifnum + \csname prob@argN@#1@\thisproblemlabel\endcsname>0\relax + \@ifundefined{prob@args@#1@\thisproblemlabel}{% + \expandafter\@prob@getargs + \csname prob@argN@#1@\thisproblemlabel\endcsname + {#1}{\thisproblemlabel}}{}% + \expandafter\let\expandafter\thisproblemargs + \csname prob@args@#1@\thisproblemlabel\endcsname + \else + \let\thisproblemargs\@empty + \fi + \expandafter\toks@\expandafter{\thisproblemargs}% + \edef\thisproblem{\noexpand\useproblem[#1]{\thisproblemlabel}% + \the\toks@}% + #2% + }% +}% } +\newcommand{\foreachdataset}[2]{% +\@for#1:=\prob@databases\do{#2}} \newcount\@probN \newcount\@probselN \newcount\@rndselctr \newcount\r@ndcur \newcount\@ps@randtmp @@ -134,21 +326,24 @@ \newcommand*{\PSNrandseed}[1]{% \ifnum#1=0\relax \PackageWarning{probsoln}{Can't have 0 as random seed, changing to 1}% - \r@ndcur=1\relax + \global\r@ndcur=1\relax \else - \r@ndcur=#1\relax + \global\r@ndcur=#1\relax \fi \PackageInfo{probsoln}{Random Seed = \number\r@ndcur}% } +\newcommand*{\PSNgetrandseed}[1]{#1=\r@ndcur\relax} \newcommand*{\PSNrand}{% \@ps@randtmp=\r@ndcur \multiply\@ps@randtmp by 16807\relax \r@ndcur=\@ps@randtmp -\divide\r@ndcur by 120001\relax -\multiply\r@ndcur by 120001\relax +\global\divide\r@ndcur by 120001\relax +\global\multiply\r@ndcur by 120001\relax \advance\@ps@randtmp by -\r@ndcur -\r@ndcur = \@ps@randtmp -\ifnum\r@ndcur=0\relax\r@ndcur=1\fi +\global\r@ndcur = \@ps@randtmp +\ifnum\r@ndcur=0\relax + \global\r@ndcur=1\relax +\fi } \newcommand{\PSNrandom}[2]{% \PSNrand @@ -171,64 +366,6 @@ \addtocounter{#1}{-1}% \fi } -\newcommand*{\selectallproblems}[1]{% -\global\@probN=0\relax -\selectrandomtrue -\firstpasstrue -\input{#1}% -\firstpassfalse -\selectrandomfalse -\input{#1}% -\global\@rndselctr=1\relax -\whiledo{\@rndselctr < \@probN \TE@or \@rndselctr = \@probN}{% -\edef\@tmp{\csname @problabel\romannumeral\@rndselctr\endcsname}% -\edef\@probargs{{\@tmp}\csname @prob@\@tmp @arg\endcsname}% -\PSNitem \expandafter\useproblem\@probargs \endPSNitem -\global\advance\@rndselctr by 1\relax -}} -\newcommand*{\selectrandomly}[2]{% -\global\@probselN=#2\relax -\global\@probN=0\relax -\selectrandomtrue -\firstpasstrue -\input{#1}% -\ifnum\@probselN>\@probN - \PackageError{probsoln}{Requested number too large}% - {You have asked for \the\@probselN \space problems, - but there are only \the\@probN \space problems defined in the - file #1. I will only select \the\@probN \space - problems.}% - \global\@probselN=\@probN -\fi -\shuffle{@problabel}{\@probN}% -\firstpassfalse -\input{#1}% -\selectrandomfalse -\global\@rndselctr=1\relax -\whiledo{\@rndselctr < \@probselN \TE@or \@rndselctr = \@probselN}{% -\edef\@tmp{\csname @problabel\romannumeral\@rndselctr\endcsname}% -\edef\@probargs{{\@tmp}\csname @prob@\@tmp @arg\endcsname}% -\PSNitem \expandafter\useproblem\@probargs \endPSNitem -\global\advance\@rndselctr by 1\relax -}% -} -\newcommand*{\PSNitem}{\item} -\@ifundefined{endPSNitem}{\def\endPSNitem{}}{% -\PackageError{probsoln}{\string\endPSitem\ already defined}{}} -\providecommand*{\solutionname}{Solution} -\@ifundefined{solution}{% -\newenvironment{solution}{\par\noindent\textbf{\solutionname:} }{}}{% -} -\newcount\@ckselctr -\newcommand*{\checkselected}[1]{% -\selectedfalse -\@ckselctr=1\relax -\whiledo{\@ckselctr < \@probselN \TE@or \@ckselctr = \@probselN}{% -\ifthenelse{\equal{#1}{\csname @problabel\romannumeral\@ckselctr\endcsname}}% -{\global\selectedtrue \global\@ckselctr=\@probselN}{}% -\advance\@ckselctr by 1\relax -}% -} \newcount\@shfctr \newcount\@shfA \newcount\@shfB \newcommand{\shuffle}[2]{% \@shfctr=1\relax @@ -269,6 +406,63 @@ are only \number\@ps@forrand item(s) in the list}% \fi \fi }} +\newcommand*{\newproblem}{\@ifstar\@snewproblem\@newproblem} +\newcommand{\@snewproblem}[3][0]{% +\begin{defproblem}[#1]{#2}% +#3% +\end{defproblem}} +\newcommand{\@newproblem}[4][0]{% +\begin{defproblem}[#1]{#2}% +#3% +\begin{onlysolution}% +\begin{solution}% +#4% +\end{solution}% +\end{onlysolution}% +\end{defproblem}} +\newcommand*{\selectallproblems}[1]{{\loadallproblems[#1]{#1}}% +\foreachproblem[#1]{\PSNitem\thisproblem\endPSNitem}} +\newcommand*{\selectrandomly}[2]{% +{\loadrandomproblems[#1]{#2}{#1}}% +\foreachproblem[#1]{\PSNitem\thisproblem\endPSNitem}% +} +\newenvironment{PSNitem}{\item}{} +\@ifundefined{solution}{% +\newenvironment{solution}{\par\noindent\textbf{\solutionname:}}{}% +}{} +\newcommand*{\solutionname}{Solution} +\newenvironment{textenum}{% +\ifnum\@enumdepth>\thr@@ + \@toodeep +\else + \advance\@enumdepth\@ne + \edef\@enumctr{enum\romannumeral\the\@enumdepth}% + \let\@item\@textitem + \def\@itemlabel{\refstepcounter{\@enumctr}% + \csname label\@enumctr\endcsname}% + \setcounter{\@enumctr}{0}% +\fi\ignorespaces}{% +\global\advance\@enumdepth\m@ne} +\def\@textitem[#1]{#1\space\ignorespaces} +\newcommand*{\correctitemformat}[1]{\fbox{#1}} +\newcommand*{\incorrectitemformat}[1]{% +\hspace{\fboxsep}\hspace{\fboxrule}#1} +\newcommand*{\correctitem}{\@inmatherr\correctitem +\@ifnextchar[\@correctitem{\@noitemargtrue\@correctitem[\@itemlabel]}} +\def\@correctitem[#1]{% +\ifshowanswers + \@item[\correctitemformat{#1}]% +\else + \@item[#1]% +\fi} +\newcommand*{\incorrectitem}{\@inmatherr\incorrectitem +\@ifnextchar[\@incorrectitem{\@noitemargtrue\@incorrectitem[\@itemlabel]}} +\def\@incorrectitem[#1]{% +\ifshowanswers + \@item[\incorrectitemformat{#1}]% +\else + \@item[#1]% +\fi} \endinput %% %% End of file `probsoln.sty'. |