我可以缩放 tikzpicture 中的所有线宽吗？

Question

我有一些tikzpicture为 a4 纸设计的 s，现在应该用在 a0 海报上。图片中的所有坐标都可以使用选项进行缩放scale=4，但这不会影响线宽。

thin我可以在整个过程中缩放线宽吗，即使是直接设置的线宽，而不是使用类似 的样式tikzpicture？图片中包含的文本应该不是以此来缩放。

Answer 1

这类似于Phelype 的评论（我刚才看到的）但是它使用当前变换矩阵的雅可比矩阵（的平方根）来确定比例因子。

\documentclass{article}
\usepackage{tikz}
% Jacobians have already been used in https://tex.stackexchange.com/q/86897/138900
% https://tex.stackexchange.com/a/496418 and https://tex.stackexchange.com/a/506249/194703
\makeatletter
\tikzset{scale line widths/.style={%
/utils/exec=\pgfgettransformentries{\tmpa}{\tmpb}{\tmpc}{\tmpd}{\tmp}{\tmp}%
\pgfmathsetmacro{\myJacobian}{sqrt(abs(\tmpa*\tmpd-\tmpb*\tmpc))}%
\pgfmathsetlength\pgflinewidth{\myJacobian*0.4pt}%
\def\tikz@semiaddlinewidth##1{\pgfmathsetmacro{\my@lw}{\myJacobian*##1}%
\tikz@addoption{\pgfsetlinewidth{\my@lw pt}}\pgfmathsetlength\pgflinewidth{\my@lw pt}},%
thin}}
\makeatother
\begin{document}
\subsubsection*{Original}
\begin{tikzpicture}
 \draw (0,0) rectangle (1,1);
 \draw[thick] (0,0) -- (1,1);
 \draw[line width=2pt] (0,1) -- (1,0);
\end{tikzpicture}

\subsubsection*{Just scale}
\begin{tikzpicture}[scale=4]
 \draw (0,0) rectangle (1,1);
 \draw[thick] (0,0) -- (1,1);
 \draw[line width=2pt] (0,1) -- (1,0);
\end{tikzpicture}

\subsubsection*{Scale and \texttt{scale line widths}}
\begin{tikzpicture}[scale=4,scale line widths]
 \draw (0,0) rectangle (1,1);
 \draw[thick] (0,0) -- (1,1);
 \draw[line width=2pt] (0,1) -- (1,0);
 \typeout{\the\pgflinewidth}
\end{tikzpicture}
\end{document}

（是的，我也看到线连接不太好，但这不是这篇文章的重点。;-)

这是一个本地检索比例因子的版本。

\documentclass{article}
\usepackage{tikz}
% Jacobians have already been used in https://tex.stackexchange.com/q/86897/138900
% https://tex.stackexchange.com/a/496418 and https://tex.stackexchange.com/a/506249/194703
\makeatletter
\tikzset{scale line widths/.style={%
/utils/exec=\def\tikz@semiaddlinewidth##1{%
\pgfgettransformentries{\tmpa}{\tmpb}{\tmpc}{\tmpd}{\tmp}{\tmp}%
\pgfmathsetmacro{\myJacobian}{sqrt(abs(\tmpa*\tmpd-\tmpb*\tmpc))}%
\pgfmathsetlength\pgflinewidth{\myJacobian*0.4pt}%
\pgfmathsetmacro{\my@lw}{\myJacobian*##1}%
\tikz@addoption{\pgfsetlinewidth{\my@lw pt}}\pgfmathsetlength\pgflinewidth{\my@lw pt}},%
thin}}
\makeatother
\begin{document}
\subsubsection*{Original}
\begin{tikzpicture}
 \draw (0,0) rectangle (1,1);
 \draw[thick] (0,0) -- (0,1);
 \draw[line width=2pt] (1,0) -- (1,1);
 \begin{scope}[scale=2]
  \draw[line width=2pt] (1,0) -- (1,0.5);
 \end{scope} 
\end{tikzpicture}

\subsubsection*{Just scale}
\begin{tikzpicture}[scale=4]
 \draw (0,0) rectangle (1,1);
 \draw[thick] (0,0) -- (0,1);
 \draw[line width=2pt] (1,0) -- (1,1);
 \begin{scope}[scale=2]
  \draw[line width=2pt] (1,0) -- (1,0.5);
 \end{scope} 
\end{tikzpicture}

\subsubsection*{Scale and \texttt{scale line widths}}
\begin{tikzpicture}[scale=4,scale line widths]
 \draw (0,0) rectangle (1,1);
 \draw[thick] (0,0) -- (0,1);
 \draw[line width=2pt] (1,0) -- (1,1);
 \begin{scope}[scale=2]
  \draw[line width=2pt] (1,0) -- (1,0.5);
 \end{scope} 
\end{tikzpicture}
\end{document}