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pgf 宏的数学运算

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pgf 宏的数学运算

我正在尝试绘制一个 TikZ 图，我想从零开始计数，而不是从一开始。我已经调整了这个回答满足我的需要。

\documentclass[tikz,border=3mm]{standalone}
\usetikzlibrary{matrix}
\begin{document}
\begin{tikzpicture}[auto matrix/.style={matrix of nodes,
  draw,thick,inner sep=0pt,
  nodes in empty cells,column sep=-0.2pt,row sep=-0.2pt,
  cells={nodes={minimum width=1.9em,minimum height=1.9em,
   draw,very thin,anchor=center,fill=white,
   execute at begin node={%
   $\vphantom{x_|}\ifnum\the\pgfmatrixcurrentrow<4
     \ifnum\the\pgfmatrixcurrentcolumn<4
      {#1}^{\the\pgfmatrixcurrentrow}_{\the\pgfmatrixcurrentcolumn}
     \else 
      \ifnum\the\pgfmatrixcurrentcolumn=5
       {#1}^{\the\pgfmatrixcurrentrow}_{N}
      \fi
     \fi
    \else
     \ifnum\the\pgfmatrixcurrentrow=5
      \ifnum\the\pgfmatrixcurrentcolumn<4
       {#1}^{T}_{\the\pgfmatrixcurrentcolumn}
      \else
       \ifnum\the\pgfmatrixcurrentcolumn=5
        {#1}^{T}_{N}
       \fi 
      \fi
     \fi
    \fi  
    \ifnum\the\pgfmatrixcurrentrow\the\pgfmatrixcurrentcolumn=14
     \cdots
    \fi
    \ifnum\the\pgfmatrixcurrentrow\the\pgfmatrixcurrentcolumn=41
     \vdots
    \fi
    \ifnum\the\pgfmatrixcurrentrow\the\pgfmatrixcurrentcolumn=44
     \ddots
    \fi$
    }
  }}}]
 \matrix[auto matrix=z,xshift=3em,yshift=3em](matz){
  & & & & \\
  & & & & \\
  & & & & \\
  & & & & \\
  & & & & \\
 };
 \matrix[auto matrix=y,xshift=1.5em,yshift=1.5em](maty){
  & & & & \\
  & & & & \\
  & & & & \\
  & & & & \\
  & & & & \\
 };
 \matrix[auto matrix=x](matx){
  & & & & \\
  & & & & \\
  & & & & \\
  & & & & \\
  & & & & \\
 };
 \draw[thick,-stealth] ([xshift=1ex]matx.south east) -- ([xshift=1ex]matz.south east)
  node[midway,below] {$D$};
 \draw[thick,-stealth] ([yshift=-1ex]matx.south west) -- 
  ([yshift=-1ex]matx.south east) node[midway,below] {joints};
 \draw[thick,-stealth] ([xshift=-1ex]matx.north west)
   -- ([xshift=-1ex]matx.south west) node[midway,above,rotate=90] {time};
\end{tikzpicture}
\end{document}

此代码有以下输出。

在此处输入图片描述

我希望索引从零开始。像这样。

在此处输入图片描述

我尝试使用 calc 包从中减去类似的\the\pgfmatrixcurrentrow东西\the\pgfmatrixcurrentcolumn$\the\pgfmatrixcurrentrow - 1 = \result$但无济于事。任何帮助都将不胜感激。

答案1

您可以\pgfmathtruncatemacro在将所有代码放入矩阵定义之前使用来计算所需的数字，并用计算变量替换所有\the\pgfmatrixcurrentrow和。\the\pgfmatrixcurrentcolumn

使用 pgfmath 的多个矩阵平面

\documentclass[tikz,border=3mm]{standalone}
\usetikzlibrary{matrix}
\begin{document}
\begin{tikzpicture}[auto matrix/.style={matrix of nodes,
  draw,thick,inner sep=0pt,
  nodes in empty cells,column sep=-0.2pt,row sep=-0.2pt,
  cells={nodes={minimum width=1.9em,minimum height=1.9em,
   draw,very thin,anchor=center,fill=white,
   execute at begin node={%
   \pgfmathtruncatemacro{\nrow}{\the\pgfmatrixcurrentrow-1}%
   \pgfmathtruncatemacro{\ncol}{\the\pgfmatrixcurrentcolumn-1}%
   $\vphantom{x_|}\ifnum\the\pgfmatrixcurrentrow<4
     \ifnum\the\pgfmatrixcurrentcolumn<4
      {#1}^{\nrow}_{\ncol}     
     \else 
      \ifnum\the\pgfmatrixcurrentcolumn=5
       {#1}^{\nrow}_{N}
      \fi
     \fi
    \else
     \ifnum\the\pgfmatrixcurrentrow=5
      \ifnum\the\pgfmatrixcurrentcolumn<4
       {#1}^{T}_{\ncol}
      \else
       \ifnum\the\pgfmatrixcurrentcolumn=5
        {#1}^{T}_{N}
       \fi 
      \fi
     \fi
    \fi  
    \ifnum\the\pgfmatrixcurrentrow\the\pgfmatrixcurrentcolumn=14
     \cdots
    \fi
    \ifnum\the\pgfmatrixcurrentrow\the\pgfmatrixcurrentcolumn=41
     \vdots
    \fi
    \ifnum\the\pgfmatrixcurrentrow\the\pgfmatrixcurrentcolumn=44
     \ddots
    \fi$
    }
  }}}]
 \matrix[auto matrix=z,xshift=3em,yshift=3em](matz){
  & & & & \\
  & & & & \\
  & & & & \\
  & & & & \\
  & & & & \\
 };
 \matrix[auto matrix=y,xshift=1.5em,yshift=1.5em](maty){
  & & & & \\
  & & & & \\
  & & & & \\
  & & & & \\
  & & & & \\
 };
 \matrix[auto matrix=x](matx){
  & & & & \\
  & & & & \\
  & & & & \\
  & & & & \\
  & & & & \\
 };
 \draw[thick,-stealth] ([xshift=1ex]matx.south east) -- ([xshift=1ex]matz.south east)
  node[midway,below] {$D$};
 \draw[thick,-stealth] ([yshift=-1ex]matx.south west) -- 
  ([yshift=-1ex]matx.south east) node[midway,below] {joints};
 \draw[thick,-stealth] ([xshift=-1ex]matx.north west)
   -- ([xshift=-1ex]matx.south west) node[midway,above,rotate=90] {time};
\end{tikzpicture}
\end{document}

答案2

由于这些是整数，因此使用\the\numexpr\pgfmatrixcurrentrow-1

\documentclass[tikz,border=3mm]{standalone}
\usetikzlibrary{matrix}
\begin{document}
\begin{tikzpicture}[auto matrix/.style={matrix of nodes,
  draw,thick,inner sep=0pt,
  nodes in empty cells,column sep=-0.2pt,row sep=-0.2pt,
  cells={nodes={minimum width=1.9em,minimum height=1.9em,
   draw,very thin,anchor=center,fill=white,
   execute at begin node={%
   $\vphantom{x_|}\ifnum\the\pgfmatrixcurrentrow<4
     \ifnum\the\pgfmatrixcurrentcolumn<4
      {#1}^{\the\numexpr\pgfmatrixcurrentrow-1}_{\the\numexpr\pgfmatrixcurrentcolumn-1}
     \else 
      \ifnum\the\pgfmatrixcurrentcolumn=5
       \,{#1}^{\the\numexpr\pgfmatrixcurrentrow-1}_{N}
      \fi
     \fi
    \else
     \ifnum\the\pgfmatrixcurrentrow=5
      \ifnum\the\pgfmatrixcurrentcolumn<4
       {#1}^{T}_{\the\numexpr\pgfmatrixcurrentcolumn-1}
      \else
       \ifnum\the\pgfmatrixcurrentcolumn=5
        \,{#1}^{T}_{N}
       \fi 
      \fi
     \fi
    \fi  
    \ifnum\the\pgfmatrixcurrentrow\the\pgfmatrixcurrentcolumn=14
     \cdots
    \fi
    \ifnum\the\pgfmatrixcurrentrow\the\pgfmatrixcurrentcolumn=41
     \vdots
    \fi
    \ifnum\the\pgfmatrixcurrentrow\the\pgfmatrixcurrentcolumn=44
     \ddots
    \fi$
    }
  }}}]
 \matrix[auto matrix=z,xshift=3em,yshift=3em](matz){
  & & & & \\
  & & & & \\
  & & & & \\
  & & & & \\
  & & & & \\
 };
 \matrix[auto matrix=y,xshift=1.5em,yshift=1.5em](maty){
  & & & & \\
  & & & & \\
  & & & & \\
  & & & & \\
  & & & & \\
 };
 \matrix[auto matrix=x](matx){
  & & & & \\
  & & & & \\
  & & & & \\
  & & & & \\
  & & & & \\
 };
 \draw[thick,-stealth] ([xshift=1ex]matx.south east) -- ([xshift=1ex]matz.south east)
  node[midway,below] {$D$};
 \draw[thick,-stealth] ([yshift=-1ex]matx.south west) -- 
  ([yshift=-1ex]matx.south east) node[midway,below] {joints};
 \draw[thick,-stealth] ([xshift=-1ex]matx.north west)
   -- ([xshift=-1ex]matx.south west) node[midway,above,rotate=90] {time};
\end{tikzpicture}
\end{document}

我还在\,最后一列中添加了内容以避免过多重叠。

在此处输入图片描述

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