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pgfplots：设置方格纸的精确几何形状

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pgfplots：设置方格纸的精确几何形状

对于以下内容，我想要获得10mm方格纸左右边距的精确测量值，而不是20 mm。

在此处输入图片描述

% https://tex.stackexchange.com/a/356984/2288
\documentclass{article}

\usepackage{pgfplots}
\usepackage{siunitx}

\usepackage[
a4paper , right = 10mm , left = 10mm , includeheadfoot, 
]{geometry}

\begin{document}
\pagestyle{empty}
\centering

% http://tex.stackexchange.com/a/15002/100384
\newcommand*{\getlength}[2]{%
   % Convert to `cm` and round to two fractional digits:
   \pgfmathsetmacro#1{round(0.0351459804*#2)}%
}

\vspace*{\fill}

\rotatebox{0}{
    \begin{tikzpicture}
        % a factor for measures, since pfplots produces slightly bigger images than defined
        %   in width/height. This can be used to adjust that problem manually
        \pgfmathsetmacro{\factor}{0.9}% 0.9

        % we will need some length in `cm`, without units, and rounded
        \getlength{\yMax}{\factor*\textheight}
        \getlength{\xMax}{\factor*\textwidth}

        \begin{axis}[
            set layers,
            width=\factor\textwidth, height=\factor\textheight,
            x = 1cm, y = 1cm,
            xtick={0,1,...,\xMax},
            ytick={0,1,...,\yMax},
            minor xtick={0,0.1,0.2,...,\xMax},
            minor ytick={0,0.1,0.2,...,\yMax},
            tick style = {line width = 0.6pt, black!40!white},
            minor tick style = {draw = none},
            major tick style = {draw = none},
            ticklabel style = {draw = none},
            xticklabels=\empty, %xlabel = \empty,
            yticklabels=\empty, %ylabel = \empty,
            axis line style = {-latex},
            grid = both,
            minor grid style={line width=0.2pt, black!20!white},
            major grid style={line width=0.6pt, black!60!white},
            ymin=0, ymax=\yMax,
            xmin=0, xmax=\xMax,
            ]
            \begin{pgfonlayer}{axis grid}
            \draw[line width=0.40pt, step=0.5cm, black!40!white] (axis cs: 0, 0) grid (axis cs: \xMax, \yMax);
            \end{pgfonlayer}
        \end{axis}
    \end{tikzpicture}
}

\vspace*{\fill}

\end{document}

更新

编辑@JohnKormylo 的回答具有

\usepackage[
a4paper , right = 10mm , left = 10mm , 
top = 5 mm, headheight = 0 mm, headsep = 0 mm, 
foot = 0 mm, bottom = 5 mm, showframe
]{geometry}

输出有两个问题：

1- 图纸在第二页，而第一页是空白的

2- 下边距小于指定的值5 mm。

答案1

由于您的页面边距已有 1cm，我假设您希望方格纸填充文本区域（四舍五入到最接近的厘米）。

\vskip\topskip每个页面开始时都会自动设置第一个基线。

showframe 选项仅用于调试/对齐。

\documentclass{article}

\usepackage{pgfplots}
\usepackage{siunitx}

\usepackage[
a4paper , right = 10mm , left = 10mm , includeheadfoot, showframe
]{geometry}


% http://tex.stackexchange.com/a/15002/100384
\newcommand*{\getlength}[2]{%
   % Convert to `cm` and round to two fractional digits:
   \pgfmathsetmacro#1{round(0.0351459804*#2)}%
}
\pagestyle{empty}

\begin{document}
\vspace*{\fill}\vskip-\topskip
\centering
\begin{tikzpicture}
        % a factor for measures, since pfplots produces slightly bigger images than defined
        %   in width/height. This can be used to adjust that problem manually
        \pgfmathsetmacro{\factor}{1.0}% 0.9

        % we will need some length in `cm`, without units, and rounded
        \getlength{\yMax}{\factor*\textheight}
        \getlength{\xMax}{\factor*\textwidth}

        \begin{axis}[
            set layers,
            width=\factor\textwidth, height=\factor\textheight,
            scale only axis, name=border,
            x = 1cm, y = 1cm,
            xtick={0,1,...,\xMax},
            ytick={0,1,...,\yMax},
            minor xtick={0,0.1,0.2,...,\xMax},
            minor ytick={0,0.1,0.2,...,\yMax},
            tick style = {line width = 0.6pt, black!40!white},
            minor tick style = {draw = none},
            major tick style = {draw = none},
            ticklabel style = {draw = none},
            xticklabels=\empty, %xlabel = \empty,
            yticklabels=\empty, %ylabel = \empty,
            axis line style = {-latex},
            grid = both,
            minor grid style={line width=0.2pt, black!20!white},
            major grid style={line width=0.6pt, black!60!white},
            ymin=0, ymax=\yMax,
            xmin=0, xmax=\xMax,
            ]
        %\begin{pgfonlayer}{axis grid}% redundant
        %\draw[line width=0.40pt, step=0.5cm, black!40!white] (axis cs: 0, 0) grid (axis cs: \xMax, \yMax);
        %\end{pgfonlayer}
        \end{axis}
    \pgfresetboundingbox
    \path (border.south west) (border.north east);
    \draw[red] (current bounding box.south west) rectangle (current bounding box.north east);
\end{tikzpicture}\vspace*{\fill}
\end{document}

此版本将网格放入保存框，然后将其放置在(current page.center)使用处[remember picture, overlay]。请确保运行两次。

\documentclass[a4paper]{article}
\usepackage{pgfplots}
\usepackage{siunitx}

% http://tex.stackexchange.com/a/15002/100384
\newcommand*{\getlength}[2]{%
   % Convert to `cm` and round to two fractional digits:
   \pgfmathsetmacro#1{round(0.0351459804*#2)}%
}
\newsavebox{\gridbox}
\savebox\gridbox{\begin{tikzpicture}
    \pgfmathsetmacro{\width}{\paperwidth-2cm}
    \pgfmathsetmacro{\height}{\paperheight-2cm}
        % we will need some length in `cm`, without units, and rounded
        \getlength{\yMax}{\height}
        \getlength{\xMax}{\width}

        \begin{axis}[
            set layers,
            width=\width, height=\height,
            scale only axis, name=border,
            x = 1cm, y = 1cm,
            xtick={0,1,...,\xMax},
            ytick={0,1,...,\yMax},
            minor xtick={0,0.1,0.2,...,\xMax},
            minor ytick={0,0.1,0.2,...,\yMax},
            tick style = {line width = 0.6pt, black!40!white},
            minor tick style = {draw = none},
            major tick style = {draw = none},
            ticklabel style = {draw = none},
            xticklabels=\empty, %xlabel = \empty,
            yticklabels=\empty, %ylabel = \empty,
            axis line style = {-latex},
            grid = both,
            minor grid style={line width=0.2pt, black!20!white},
            major grid style={line width=0.6pt, black!60!white},
            ymin=0, ymax=\yMax,
            xmin=0, xmax=\xMax,
            ]
        %\begin{pgfonlayer}{axis grid}% redundant
        %\draw[line width=0.40pt, step=0.5cm, black!40!white] (axis cs: 0, 0) grid (axis cs: \xMax, \yMax);
        %\end{pgfonlayer}
        \end{axis}
    \pgfresetboundingbox
    \path (border.south west) (border.north east);
\end{tikzpicture}}

\pagestyle{empty}
\begin{document}
\begin{tikzpicture}[remember picture, overlay]
  \node at (current page.center) {\usebox\gridbox};
\end{tikzpicture}
\end{document}

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