在投影機中使用 4up 模式開始新頁面

Question

我用來pgfpages製作 4up 講義。講義很長（整個學期），我想在新課程開始時開始新的一頁。我正在尋找的是像書中的程式碼一樣工作的程式碼，當新的章節開始時插入一個空頁面，並且新的章節將在錯誤的頁面上開始。

在 MWE 中，第 2 張之後的三張投影片應為空頁，第 2 部分應從新頁面的左上角開始。

編輯： 像這樣的事情\cleardoublepage應該可以解決問題。但必須查看頁面計數器並檢查必須插入多少空白頁，直到下一頁可被四整除。我不知道如何在 LaTeX 中進行數學計算。任何幫助，將不勝感激。

\def\cleardoublepage{%
    \clearpage%
    \if@twoside%
        \ifodd\c@page%
            % do nothing
        \else%
            \emptypage@emptypage%
        \fi%
    \fi%
}%

氣象局：

\documentclass{beamer}

\author{Stefan Müller}
\title{The great test}

\usepackage{pgfpages}
\pgfpagesuselayout{4 on 1}[a4paper, border shrink=5mm, landscape]

\pgfpageslogicalpageoptions{1}{border code=\pgfusepath{stroke},
% resized height=.65\pgfphysicalheight,
% resized width=.65\pgfphysicalwidth, 
  center = \pgfpoint{.275\pgfphysicalwidth}{.74\pgfphysicalheight}
}
\pgfpageslogicalpageoptions{2}{border code=\pgfusepath{stroke},
% resized height=.65\pgfphysicalheight,
% resized width=.65\pgfphysicalwidth,
  center = \pgfpoint{.725\pgfphysicalwidth}{.74\pgfphysicalheight}
}
\pgfpageslogicalpageoptions{3}{border code=\pgfusepath{stroke},
% resized height=.65\pgfphysicalheight,
% resized width=.65\pgfphysicalwidth,
  center = \pgfpoint{.275\pgfphysicalwidth}{.26\pgfphysicalheight}
}
\pgfpageslogicalpageoptions{4}{border code=\pgfusepath{stroke},
% resized height=.65\pgfphysicalheight,
% resized width=.65\pgfphysicalwidth,
 center = \pgfpoint{.725\pgfphysicalwidth}{.26\pgfphysicalheight}
}


\begin{document}

\frame{
\maketitle
}

\frame{
0

}

\section{1}
\subtitle{Session 1}
\frame{
\maketitle
}
\frame{1}
\section{2}
\frame{2}
\subtitle{Session 2}
\frame{
\maketitle
}


\section{3}
\frame{3}
\section{4}
\frame{4}
\section{5}
\frame{5}



\end{document}

Answer 1

您可以在字幕開頭檢查目前頁碼，然後根據需要插入空白頁：

\documentclass{beamer}

\author{Stefan Müller}
\title{The great test}

\usepackage{pgfpages}
\pgfpagesuselayout{4 on 1}[a4paper, border shrink=5mm, landscape]

\pgfpageslogicalpageoptions{1}{border code=\pgfusepath{stroke},
% resized height=.65\pgfphysicalheight,
% resized width=.65\pgfphysicalwidth, 
  center = \pgfpoint{.275\pgfphysicalwidth}{.74\pgfphysicalheight}
}
\pgfpageslogicalpageoptions{2}{border code=\pgfusepath{stroke},
% resized height=.65\pgfphysicalheight,
% resized width=.65\pgfphysicalwidth,
  center = \pgfpoint{.725\pgfphysicalwidth}{.74\pgfphysicalheight}
}
\pgfpageslogicalpageoptions{3}{border code=\pgfusepath{stroke},
% resized height=.65\pgfphysicalheight,
% resized width=.65\pgfphysicalwidth,
  center = \pgfpoint{.275\pgfphysicalwidth}{.26\pgfphysicalheight}
}
\pgfpageslogicalpageoptions{4}{border code=\pgfusepath{stroke},
% resized height=.65\pgfphysicalheight,
% resized width=.65\pgfphysicalwidth,
 center = \pgfpoint{.725\pgfphysicalwidth}{.26\pgfphysicalheight}
}

\usepackage{pgffor}

\pretocmd{\subtitle}{
  {
   \setbeamertemplate{navigation symbols}{}
   \pgfmathparse{int(mod(\thepage,4))}
   \let\foo\pgfmathresult

   \ifnum\foo=0
      \begin{frame}[plain,noframenumbering]
      \end{frame}   
   \fi      
   
   \ifnum\foo=2
      \begin{frame}[plain,noframenumbering]
      \end{frame}   
      \begin{frame}[plain,noframenumbering]
      \end{frame}   
      \begin{frame}[plain,noframenumbering]
      \end{frame}         
   \fi   
   
   \ifnum\foo=3
      \begin{frame}[plain,noframenumbering]
      \end{frame}   
      \begin{frame}[plain,noframenumbering]
      \end{frame}   
   \fi
   
  }
}{}{}

\makeatletter
\apptocmd{\beamer@subtitle}{\frame{\maketitle}}{}{}
\makeatother

\begin{document}

\frame{
\maketitle
}

\frame{
0
\pause
abc
}

\section{1}
\subtitle{Session 1}

\frame{1}
\section{2}
\frame{2}
\subtitle{Session 2}

\section{3}
\frame{3}
\section{4}
\frame{4}
\section{5}
\frame{5}

\end{document}