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如何在 LaTeX 中生成避免重复的随机问题列表？

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如何在 LaTeX 中生成避免重复的随机问题列表？

如何在 LaTeX 中生成避免重复的随机问题列表？

\documentclass{article}
\usepackage[pdftex]{exerquiz}
\usepackage{enumitem}
\usepackage{tikz}

\newcommand*{\ListOfTopics}{%
    AlgebraQuestions,%
    TrigQuestions%
}%
\pgfmathdeclarerandomlist{AlgebraQuestions}{%
 {AlgebraQ1}%
 {AlgebraQ2}%    
 {AlgebraQ3}%          
}%
\pgfmathdeclarerandomlist{TrigQuestions}{%
    {TrigQ1}%
    {TrigQ2}%
    {TrigQ3}%
}%
\newcommand*{\NumberOfQuizes}{3}%

\begin{document}

\foreach \QuizNumber in {1,...,\NumberOfQuizes} {%
\section{Вариант}
   \noindent\textbf{\Large Quiz Number \QuizNumber}%
    \begin{enumerate}

    \foreach \Topic in \ListOfTopics {%
        \pgfmathrandomitem{\RandomQuestion}{\Topic} 
        \item Random Question from Topic='\Topic': 
            \textbf{\Large\RandomQuestion}%
    }%
    \end{enumerate}
}%
\end{document}

我读到我可以使用它，但如何适应它？

\def\prunelist#1{%
\expandafter\edef\csname pgfmath@randomlist@#1\endcsname
        {\the\numexpr\csname pgfmath@randomlist@#1\endcsname-1\relax}
\count@\pgfmath@randomtemp 
\loop
\expandafter\let
\csname pgfmath@randomlist@#1@\the\count@\expandafter\endcsname
\csname pgfmath@randomlist@#1@\the\numexpr\count@+1\relax\endcsname
\ifnum\count@<\csname pgfmath@randomlist@#1\endcsname\relax
\advance\count@\@ne
\repeat}

答案1

对于 LaTeX/pgfmath 解决方案，我会使用类似下面所示的代码。代码有点难以理解，但不幸的是这是不可避免的。由于随机列表内容都是全局分配的，因此还需要引入一个命令来复制随机列表。使用 LuaLaTeX 和表格可能会更容易。

\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage{pgfmath,pgffor}


\makeatletter
\def\pgfmathrandomitemwithoutreplacement#1#2{%
    \pgfmath@ifundefined{pgfmath@randomlist@#2}{\pgfmath@error{Unknown random list `#2'}}{%
        \edef\pgfmath@randomlistlength{\csname pgfmath@randomlist@#2\endcsname}%
        \ifnum\pgfmath@randomlistlength>0\relax%
            \pgfmathrandominteger{\pgfmath@randomtemp}{1}{\pgfmath@randomlistlength}%
            \def\pgfmath@marshal{\def#1}%
            \expandafter\expandafter\expandafter\pgfmath@marshal\expandafter\expandafter\expandafter{\csname pgfmath@randomlist@#2@\pgfmath@randomtemp\endcsname}%
            % Now prune.
            \c@pgfmath@counta=\pgfmath@randomtemp\relax%
            \c@pgfmath@countb=\c@pgfmath@counta%
            \advance\c@pgfmath@countb by1\relax%
            \pgfmathloop%
            \ifnum\c@pgfmath@counta=\pgfmath@randomlistlength\relax%
            \else%
                \def\pgfmath@marshal{\expandafter\global\expandafter\let\csname pgfmath@randomlist@#2@\the\c@pgfmath@counta\endcsname=}%
                \expandafter\pgfmath@marshal\csname pgfmath@randomlist@#2@\the\c@pgfmath@countb\endcsname%
                \advance\c@pgfmath@counta by1\relax%
                \advance\c@pgfmath@countb by1\relax%
            \repeatpgfmathloop%
            \advance\c@pgfmath@counta by-1\relax%
            \expandafter\xdef\csname pgfmath@randomlist@#2\endcsname{\the\c@pgfmath@counta}%        
        \else%
            \pgfmath@error{Random list `#2' is empty}%
        \fi%        
    }}


\def\pgfmathrandomlistcopy#1#2{%
    \pgfmath@ifundefined{pgfmath@randomlist@#2}{\pgfmath@error{Unknown random list `#2'}}{%
        \edef\pgfmath@randomlistlength{\csname pgfmath@randomlist@#2\endcsname}%
        \pgfmathloop%
        \ifnum\pgfmathcounter>\pgfmath@randomlistlength\relax%
        \else%
            \def\pgfmath@marshal{\expandafter\global\expandafter\let\csname pgfmath@randomlist@#1@\pgfmathcounter\endcsname=}%
            \expandafter\pgfmath@marshal\csname pgfmath@randomlist@#2@\pgfmathcounter\endcsname%
        \repeatpgfmathloop%
        \expandafter\xdef\csname pgfmath@randomlist@#1\endcsname{\pgfmath@randomlistlength}%
    }%  
}
\makeatother

\begin{document}

\newcommand*{\ListOfTopics}{%
    AlgebraQuestions,%
    TrigQuestions%
}%
\pgfmathdeclarerandomlist{AlgebraQuestionsMaster}{%
 {AlgebraQ1}%
 {AlgebraQ2}%    
 {AlgebraQ3}%          
}%
\pgfmathdeclarerandomlist{TrigQuestionsMaster}{%
    {TrigQ1}%
    {TrigQ2}%
    {TrigQ3}%
}%
\newcommand*{\NumberOfQuizes}{3}%


\pgfmathrandomlistcopy{AlgebraQuestions}{AlgebraQuestionsMaster}
\pgfmathrandomlistcopy{TrigQuestions}{TrigQuestionsMaster}

\foreach \QuizNumber in {1,...,\NumberOfQuizes} {%
\section{Option}% <- correct translation?
   \noindent\textbf{\Large Quiz Number \QuizNumber}%
    \begin{enumerate}
    \foreach \Topic in \ListOfTopics {%
        \pgfmathrandomitemwithoutreplacement{\RandomQuestion}{\Topic} 
        \item Random Question from Topic='\Topic': 
            \textbf{\Large\RandomQuestion}%
    }%
    \end{enumerate}
}%

\end{document}

为了提供更图形化的演示，请考虑以下代码（\usepackage{tikz}在序言中）：

\pgfmathdeclarerandomlist{some numbers}{{1}{2}{3}{4}{5}{6}{7}{8}{9}{10}}
\pgfmathrandomlistcopy{tmp}{some numbers}

\begin{tikzpicture}
    \foreach \i in {1, ..., 10}{
        \pgfmathrandomitemwithoutreplacement\j{tmp}
        \node (i-\i) at (\i, 0) {\i};
        \node (j-\j) at (\j, 2) {\j};
        \draw [->] (i-\i) -- (j-\j);
    }
\end{tikzpicture}

在此处输入图片描述

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