圆柱体的周期调制

圆柱体的周期调制

我必须实现一个由类似圆柱形的元素组成的数组。但是,下面的代码只能提供一个直圆柱体(代码来源:此链接),相反,我希望以周期性的方式调节圆柱体,例如以正弦方式与此链接的情况类似但我似乎无法成功。我甚至无法将气缸数从一个增加到多个。(这个问题是我上一个问题的延续,薛定谔的猫给出了一个很好的答案)在这个问题中,输出有所不同。

\documentclass[border=2mm]{standalone}
\usepackage{xcolor}
\definecolor{mycolor}{RGB}{8,108,131}
\usepackage{tikz} 
\usetikzlibrary{positioning}
\usetikzlibrary{backgrounds}
\usetikzlibrary{shapes.geometric}
\usetikzlibrary{calc}
\tikzset{cylinder end fill/.style={path picture={
            \pgftransformshift{\centerpoint}%
            \pgftransformrotate{\rotate}%  
            \pgfpathmoveto{\beforetop}%
            \pgfpatharc{90}{-270}{\xradius and \yradius}%
            \pgfpathclose
            \pgfsetfillcolor{#1}%
            \pgfusepath{fill}}
}}
\begin{document}
    \begin{tikzpicture}
    \begin{scope}[on background layer]
    \path let \p1=(0.2,8.4),
    \n1={atan2(\y1,\x1)},\n2={veclen(\y1,\x1)} in
    node[cylinder, rotate=270,
    minimum height=0.85*\n2,minimum width=1cm,aspect=1.0,
    cylinder end fill=red,
    left color=red!30,right color=black,middle color=red!80, opacity=0.7,
    draw] at (0.8,4.7) {1};
    \end{scope}
    \end{tikzpicture}
\end{document} 

在此处输入图片描述

答案1

这可能是(也可能不是)朝着正确方向迈出的一步。

\documentclass[tikz,border=3mm]{standalone}
\usetikzlibrary{decorations} 
\newcounter{icoord}
\pgfkeys{/tikz/.cd,
    curved cylinder/.cd,
    radius/.store in=\CurvedCylinderRadius,
    radius=10pt,
    step/.store in=\CurvedCylinderStep,
    step=1pt,
    shade/.style={left color=red!30,right color=black,middle color=red!80}
}

\pgfdeclaredecoration{curved cylinder}{initial}
{% 
\state{initial}[width=\CurvedCylinderStep,next state=cont] {%
    \pgfmoveto{\pgfpoint{\CurvedCylinderStep}{\CurvedCylinderRadius}}%
    \pgfpathlineto{\pgfpoint{0.3\pgflinewidth}{\CurvedCylinderRadius}}%
    \setcounter{icoord}{0}%
    \pgfcoordinate{lastup-\number\value{icoord}}{\pgfpoint{1pt}{\CurvedCylinderRadius}}%
    \pgfcoordinate{lastdown-\number\value{icoord}}{\pgfpoint{1pt}{-1*\CurvedCylinderRadius}}%
  }
  \state{cont}[width=\CurvedCylinderStep]{%
     \stepcounter{icoord}%
     \pgfcoordinate{lastup-\number\value{icoord}}{\pgfpoint{\CurvedCylinderStep}{\CurvedCylinderRadius}}
     \pgfcoordinate{lastdown-\number\value{icoord}}{\pgfpoint{\CurvedCylinderStep}{-1*\CurvedCylinderRadius}}
     \pgfcoordinate{tmpup}{\pgfpoint{\CurvedCylinderStep+0.3pt}{\CurvedCylinderRadius}}
     \pgfcoordinate{tmpdown}{\pgfpoint{\CurvedCylinderStep+0.3pt}{-1*\CurvedCylinderRadius}}
     \pgfmathanglebetweenlines{\pgfpointanchor{lastup-\the\numexpr\value{icoord}-1}{center}}%
      {\pgfpointanchor{lastup-\number\value{icoord}}{center}}%
      {\pgfpointanchor{Y}{center}}%
      {\pgfpointanchor{O}{center}}%
     \pgfmathsetmacro\myshadingangle{\pgfmathresult}%
     \path[curved cylinder/shade,shading angle=\myshadingangle] 
        (lastup-\the\numexpr\value{icoord}-1) 
     -- (tmpup) to[out=180,in=180] (tmpdown) -- (lastdown-\the\numexpr\value{icoord}-1)
     to[out=180,in=180] cycle;%
     \pgfmoveto{\pgfpointanchor{lastup-\the\numexpr\value{icoord}-1}{center}}%
     \pgfpathlineto{\pgfpointanchor{lastup-\number\value{icoord}}{center}}%
     \pgfmoveto{\pgfpointanchor{lastdown-\the\numexpr\value{icoord}-1}{center}}%
     \pgfpathlineto{\pgfpointanchor{lastdown-\number\value{icoord}}{center}}%
  }
  \state{final}[width=\CurvedCylinderStep]
  { % perhaps unnecessary but doesn't hurt either
    \pgfmoveto{\pgfpointdecoratedpathlast}
    \fill (tmpup) to[out=0,in=0] (tmpdown) to[out=-180,in=-180] cycle;
  }
}

\begin{document}
  \begin{tikzpicture}[scale=1]
   \path (0,0) coordinate (O) (0,1) coordinate (Y);
    \draw[decorate,decoration=curved cylinder,curved cylinder/radius=1cm] 
     (0,0) to[out=90,in=-90] (1,4)  to[out=90,in=-90] (0,8);
    \draw[decorate,decoration=curved cylinder,
        curved cylinder/radius=1cm,
        curved cylinder/shade/.style={left color=blue!30,right
        color=black,middle color=blue!80},looseness=0.7] 
     (4,0) to[out=90,in=-90] (5,4)  to[out=90,in=-90] (4,8);
  \end{tikzpicture}
\end{document}

在此处输入图片描述

或者

\documentclass[tikz,border=3mm]{standalone}
\usetikzlibrary{decorations} 
\newcounter{icoord}
\pgfkeys{/tikz/.cd,
    curved cylinder/.cd,
    radius/.store in=\CurvedCylinderRadius,
    radius=10pt,
    step/.store in=\CurvedCylinderStep,
    step=1pt,
    shade/.style={left color=red!30,right color=black,middle color=red!80}
}

\pgfdeclaredecoration{curved cylinder}{initial}
{% 
\state{initial}[width=\CurvedCylinderStep,next state=cont] {%
    \pgfmoveto{\pgfpoint{\CurvedCylinderStep}{\CurvedCylinderRadius}}%
    \pgfpathlineto{\pgfpoint{0.3\pgflinewidth}{\CurvedCylinderRadius}}%
    \setcounter{icoord}{0}%
    \pgfcoordinate{lastup-\number\value{icoord}}{\pgfpoint{1pt}{\CurvedCylinderRadius}}%
    \pgfcoordinate{lastdown-\number\value{icoord}}{\pgfpoint{1pt}{-1*\CurvedCylinderRadius}}%
  }
  \state{cont}[width=\CurvedCylinderStep]{%
     \stepcounter{icoord}%
     \pgfcoordinate{lastup-\number\value{icoord}}{\pgfpoint{\CurvedCylinderStep}{\CurvedCylinderRadius}}
     \pgfcoordinate{lastdown-\number\value{icoord}}{\pgfpoint{\CurvedCylinderStep}{-1*\CurvedCylinderRadius}}
     \pgfcoordinate{tmpup}{\pgfpoint{\CurvedCylinderStep+0.3pt}{\CurvedCylinderRadius}}
     \pgfcoordinate{tmpdown}{\pgfpoint{\CurvedCylinderStep+0.3pt}{-1*\CurvedCylinderRadius}}
     \pgfmathanglebetweenlines{\pgfpointanchor{lastup-\the\numexpr\value{icoord}-1}{center}}%
      {\pgfpointanchor{lastup-\number\value{icoord}}{center}}%
      {\pgfpointanchor{Y}{center}}%
      {\pgfpointanchor{O}{center}}%
     \pgfmathsetmacro\myshadingangle{\pgfmathresult}%
     \path[curved cylinder/shade,shading angle=\myshadingangle] 
        (lastup-\the\numexpr\value{icoord}-1) 
     -- (tmpup) to[out=180,in=180] (tmpdown) -- (lastdown-\the\numexpr\value{icoord}-1)
     to[out=180,in=180] cycle;%
     \pgfmoveto{\pgfpointanchor{lastup-\the\numexpr\value{icoord}-1}{center}}%
     \pgfpathlineto{\pgfpointanchor{lastup-\number\value{icoord}}{center}}%
     \pgfmoveto{\pgfpointanchor{lastdown-\the\numexpr\value{icoord}-1}{center}}%
     \pgfpathlineto{\pgfpointanchor{lastdown-\number\value{icoord}}{center}}%
  }
  \state{final}[width=\CurvedCylinderStep]
  { % perhaps unnecessary but doesn't hurt either
    \pgfmoveto{\pgfpointdecoratedpathlast}
    \fill (tmpup) to[out=0,in=0] (tmpdown) to[out=-180,in=-180] cycle;
  }
}

\begin{document}
  \begin{tikzpicture}[scale=1]
   \path (0,0) coordinate (O) (0,1) coordinate (Y);
    \draw[decorate,decoration=curved cylinder,curved cylinder/radius=1cm
    ,looseness=0.7] 
     (0,0) foreach \X in {1,2,3} 
     {to[out=90,in=-90] ++ (1,4)  to[out=90,in=-90] ++(-1,4)};
    \draw[decorate,decoration=curved cylinder,
        curved cylinder/radius=1cm,
        curved cylinder/shade/.style={left color=blue!30,right
        color=black,middle color=blue!80},looseness=0.7] 
     (6,0) foreach \X in {1,2,3} 
     {to[out=90,in=-90] ++ (-1,4)  to[out=90,in=-90] ++(1,4)};
  \end{tikzpicture}
\end{document}

在此处输入图片描述

尽管这不是一个成熟的装饰,但它仍然很容易发现dimension too large错误。

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