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使用 pgfplots 標記的正方形子集繪製正方形網格

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使用 pgfplots 標記的正方形子集繪製正方形網格

最近我發現了 pgfplots，這個包的功能給我留下了深刻的印象。然而，有一種類型的圖我無法弄清楚如何使用 pgfplots 方便地定義。

基本上我想繪製一個正方形網格，並標記了正方形的子集（很抱歉，作為新用戶，我不允許發布圖像）。我知道我可以遵循/修改手冊中繪製閉合形狀的範例：

% Preamble: \pgfplotsset{width=7cm,compat=1.6}
\begin{tikzpicture}
\begin{axis}
\addplot+[fill] coordinates
{(0,1) (1,2) (0,3) (-1,2)} --cycle;
\end{axis}
\end{tikzpicture}

但我想知道 - 是否可以僅通過正方形的整數座標來標記，而不是列出每個正方形的四個精確角？

答案1

我不確定你想要堆疊還是平板，所以這兩者都是：

\documentclass[parskip]{scrartcl}
\usepackage[margin=15mm]{geometry}
\usepackage{tikz}
\usepackage{arrayjobx}
\usepackage{trimspaces}
\usepackage{xifthen}

\makeatletter
\def\trimspace#1{\trim@spaces@in{#1}}
\makeatother

\newcommand{\getslab}[2]{\checkdrawsquares(#1,#2)\trimspace\cachedata}

\newcommand{\drawstacks}[3]% fillheights, baroptions, gridoptions
{   \draw[#3] (0,0) grid (\gridwidth,\gridheight);
    \foreach \x [count=\c] in {#1}
    {   \fill[#2] (\c-1,0) rectangle (\c,\x);
    }
}

\newcommand{\drawslabs}[3]% dataarray, slaboptions, gridoptions
{   \draw[#3] (0,0) grid (\gridwidth,\gridheight);
    \foreach \x in {1,...,\gridwidth}
    { \foreach \y in {1,...,\gridheight}
        {   \pgfmathtruncatemacro{\colnum}{\x}
            \pgfmathtruncatemacro{\rownum}{\gridheight+1-\y}
            \getslab{\rownum}{\colnum}
            \ifthenelse{\cachedata>0}
                {\fill[#2] (\x-1,\y-1) rectangle (\x,\y);}
                {}
        }
    }
}

\begin{document}

\pgfmathtruncatemacro{\gridwidth}{13}
\pgfmathtruncatemacro{\gridheight}{7}

\newarray\drawsquares
\readarray{drawsquares}{%
1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 1 &%
0 & 0 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 &%
1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 1 &%
1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 &%
1 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 &%
1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 &%
0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 1}
\dataheight=\gridwidth%

\begin{tikzpicture}
    \drawstacks{1,7,5,0,3,0,0,2,3,4,6,4,7}{red!50!gray,fill opacity=0.5,draw=red!50!gray,thick}{gray,densely dashed}
\end{tikzpicture}

\begin{tikzpicture}
    \drawslabs{drawsquares}{red!50!gray,fill opacity=0.5,draw=red!50!gray,thick}{gray,densely dashed}{red}{gray}
\end{tikzpicture}

\end{document}

在此輸入影像描述

編輯1：我成功了，只是忘記了\expandafter昨天的事\csname。

更新\getslab

\newcommand{\getslab}[3]{\expandafter\csname check#1\endcsname(#2,#3)\trimspace\cachedata}

更新\drawslabs

\newcommand{\drawslabs}[3]% arraname, slaboptions, gridoptions
{   \draw[#3] (0,0) grid (\gridwidth,\gridheight);
    \foreach \x in {1,...,\gridwidth}
    { \foreach \y in {1,...,\gridheight}
        {   \pgfmathtruncatemacro{\colnum}{\x}
            \pgfmathtruncatemacro{\rownum}{\gridheight+1-\y}
            \getslab{#1}{\rownum}{\colnum}
            \ifthenelse{\cachedata>0}
                {\fill[#2] (\x-1,\y-1) rectangle (\x,\y);}
                {}
        }
    }
}

新樣本輸入

\pgfmathtruncatemacro{\gridwidth}{13}
\pgfmathtruncatemacro{\gridheight}{7}

\newarray\drawsquares
\readarray{drawsquares}{%
1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 1 &%
0 & 0 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 &%
1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 1 &%
1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 &%
1 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 &%
1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 &%
0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 1}
\dataheight=\gridwidth%

\begin{tikzpicture}
    \drawstacks{1,7,5,0,3,0,0,2,3,4,6,4,7}{red!50!gray,fill opacity=0.5,draw=red!50!gray,thick}{gray,densely dashed}
\end{tikzpicture}

\begin{tikzpicture}
    \drawslabs{drawsquares}{red!50!gray,fill opacity=0.5,draw=red!50!gray,thick}{gray,densely dashed}{red}{gray}
\end{tikzpicture}

\delarray\drawsquares% Deleting the old array; don't reuse names of deleted arrays!

% define a "new array" by just interchanging width and height

\pgfmathtruncatemacro{\gridwidth}{7}% changed from 13 to 7
\pgfmathtruncatemacro{\gridheight}{13}% changed from 7 to 13

\newarray\verticalarray% new name
\readarray{verticalarray}{%
1 & 1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 1 & 1 &%
0 & 0 & 1 & 1 & 1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 0 &%
1 & 0 & 0 & 0 & 0 & 1 & 0 & 0 & 1 & 1 & 1 & 0 & 1 &%
1 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 &%
1 & 0 & 0 & 0 & 0 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 &%
1 & 1 & 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 0 & 1 & 0 &%
0 & 1 & 0 & 1 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 1}
\dataheight=\gridwidth% similar array as before, but this time interpreted as 7x13 instead of 13x7

\begin{tikzpicture}
    \drawslabs{verticalarray}{red!50!gray,fill opacity=0.5,draw=red!50!gray,thick}{gray,densely dashed}{red}{gray}
\end{tikzpicture}

新的範例輸出（帶有geometry選項a3paper）

在此輸入影像描述

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