尽管进行了测量计算，但仍出现“非法测量单位（插入 pt）”？

Question

按照以下提示操作后这个答案@JasperHabricht，我正在尝试改进以下宏，但我得到的只是Illegal unit of measure (pt inserted)，尽管进行了测量计算，而且在用于\pgfmathsetmacro其他宏之前，一切都运行良好。是的，我确实尝试用 s 替换\newlengths 和\setlengths \pgfmathsetmacro。

\newcounter{coordinateCounter}
\setcounter{coordinateCounter}{1}
\newlength{\coordinateShift}
\newlength{\leftRightShift}
\newlength{\topBottomShift}
% Parameters
%
% 1: dimension (in cm)
% 2: board size (square)
% 3: step
% 
% Example: A 19x19 board with size 10cm x 10cm: `\coordinates{10}{19}{\step}'
\newcommand{\coordinates}[3]{
  % For some reason, TeX doesn't like dividin by non-integers?
  \setlength{\leftRightShift}{\dimexpr #3 * 10 / 14 \relax}
  \setlength{\topBottomShift}{\dimexpr #3 * 10 / 15 \relax}

  \foreach [count=\i] \l in {A, B, ..., Z} {
    \ifthenelse{\equal{\l}{I} \OR \i > \numexpr #2 + 1 \relax}{}{
      \setlength{\coordinateShift}{\dimexpr #3 * (\thecoordinateCounter - 1) \relax}

      % Top
      \draw[
        xshift = \coordinateShift,
        yshift = #1cm + \topBottomShift,
      ] node {\l};
      % Right
      \draw[
        xshift = #1cm + \leftRightShift,
        yshift = \coordinateShift,
      ] node {\thecoordinateCounter};
      % Bottom
      \draw[
        xshift = \coordinateShift,
        yshift = -(\leftRightShift),
      ] node {\l};
      % Left
      \draw[
        xshift = -(\leftRightShift),
        yshift = \coordinateShift,
      ] node {\thecoordinateCounter};

      \stepcounter{coordinateCounter}
    }
  }
  \setcounter{coordinateCounter}{1}
}

完整的最小示例：

\documentclass{article}

\usepackage{tikz}
\usepackage{ifthen}

% Parameters
%
% 1: dimension (in cm)
% 2: board size (square)
% 
% Example: A 19x19 board with size 10cm x 10cm: `\gogrid{10}{19}'
\newcommand{\goGrid}[2]{
  \pgfmathsetmacro{\step}{#1 / (#2 - 1)} % chktex 1

  \draw[step=\step] (0, 0) grid (#1, #1);
  
  \boardOutline{#1}
  
  \coordinates{#1}{#2}{\step} % chktex 1
  
  \drawHoshis{#1}{#2}{\step}
}

% Parameters
%
% 1: dimension (in cm)
% 2: board size (square)
% 3: step
% 
% Example: A 19x19 board with size 10cm x 10cm: `\drawHoshis{10}{19}{\step}'
\newcommand{\drawHoshis}[3]{
  \ifnum#2=9\relax
    \foreach \sloc in {{3, 3}, {3, 7}, {7, 3}, {7, 7}, {5, 5}}{
      \pgfmathsetmacro{\hoshiCoordX}{#3 * ({\sloc}[0] - 1)}
      \pgfmathsetmacro{\hoshiCoordY}{#3 * ({\sloc}[1] - 1)}

      \filldraw (\hoshiCoordX, \hoshiCoordY)
        circle [radius=#3 / 10];
    }
  \fi
}

% Parameters
%
% 1: dimension (in cm)
% 
% Example: \boardOutline{10}
\newcommand{\boardOutline}[1]{
  \pgfmathsetmacro{\boardOutlineLineWidth}{#1 * 5 / 1000}
  % Just so the board outline isn't jagged
  \pgfmathsetmacro{\boardOutlinePadding}{\boardOutlineLineWidth / 2}

  % Top
  \draw[black, line width = \boardOutlineLineWidth]
    (-\boardOutlinePadding, #1) -- (#1 + \boardOutlinePadding, #1); % chktex 1 chktex 8
  % Right
  \draw[black, line width = \boardOutlineLineWidth] 
    (#1, 0) -- (#1, #1); % chktex 8
  % Bottom
  \draw[black, line width = \boardOutlineLineWidth]
    (-\boardOutlinePadding, 0) -- (#1 + \boardOutlinePadding, 0); % chktex 1 chktex 8
  % Left
  \draw[black, line width = \boardOutlineLineWidth]
    (0, 0) -- (0, #1); % chktex 8
}

\newcounter{coordinateCounter}
\setcounter{coordinateCounter}{1}
\newlength{\coordinateShift}
\newlength{\leftRightShift}
\newlength{\topBottomShift}
% Parameters
%
% 1: dimension (in cm)
% 2: board size (square)
% 3: step
% 
% Example: A 19x19 board with size 10cm x 10cm: `\coordinates{10}{19}{\step}'
\newcommand{\coordinates}[3]{
  % For some reason, TeX doesn't like dividin by non-integers?
  \setlength{\leftRightShift}{\dimexpr #3 * 10 / 14 \relax}
  \setlength{\topBottomShift}{\dimexpr #3 * 10 / 15 \relax}

  \foreach [count=\i] \l in {A, B, ..., Z} {
    \ifthenelse{\equal{\l}{I} \OR \i > \numexpr #2 + 1 \relax}{}{
      \setlength{\coordinateShift}{\dimexpr #3 * (\thecoordinateCounter - 1) \relax}

      % Top
      \draw[
        xshift = \coordinateShift,
        yshift = #1cm + \topBottomShift,
      ] node {\l};
      % Right
      \draw[
        xshift = #1cm + \leftRightShift,
        yshift = \coordinateShift,
      ] node {\thecoordinateCounter};
      % Bottom
      \draw[
        xshift = \coordinateShift,
        yshift = -(\leftRightShift),
      ] node {\l};
      % Left
      \draw[
        xshift = -(\leftRightShift),
        yshift = \coordinateShift,
      ] node {\thecoordinateCounter};

      \stepcounter{coordinateCounter}
    }
  }
  \setcounter{coordinateCounter}{1}
}

\begin{document}
  \begin{figure}[ht]
    \begin{center}
      \begin{tikzpicture}
        \goGrid{5}{9}
      \end{tikzpicture}
      \caption{Goban 1}\label{my_goban_1}
    \end{center}
  \end{figure}
\end{document}

Answer 1

你可以从示例中删掉 100 行左右。错误消息突出显示了错误的位置

! Illegal unit of measure (pt inserted).
<to be read again> 
                   *

你有

\setlength{\leftRightShift}{\dimexpr #3 * 10 / 14 \relax}

此时，#3其\step定义基本上为

\def\step{0.625}

正如错误消息所说，这个表达式中没有单位。

例如，您可以使用以下任一方法：

\pgfmathsetmacro{\leftRightShift}{#3 * 10 / 14}

或这个：

\setlength{\leftRightShift}{\dimexpr #3cm * 10 / 15 \relax}