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¿Por qué tikz informa que mis dimensiones son demasiado grandes?

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¿Por qué tikz informa que mis dimensiones son demasiado grandes?

Estoy intentando crear una figura usando Tikz, pero me da el "Error de dimensiones demasiado grandes". Sospecho que es porque estoy intentando graficar funciones que se acercan a 0 y 1 en los límites, y Tikz no puede manejar esto exactamente. ¿Algún consejo sobre cómo puedo hacer que Tikz funcione?

\documentclass{article}
\begin{document}
\begin{tikzpicture}
    \begin{groupplot}[group style={group size= 2 by 1},height=6cm,width=6cm,xmin=0.5,ymin=0.5,ymax=1,xmax=1,samples=500,ytick={0.5,1},xtick={0.5,1}, xlabel={$v_1$},
    axis lines=left]
        \nextgroupplot[title={}, ylabel={$x_1$}]
              \addplot[blue,]{min(1,(\x/(2*(1-min(1,\x)))))};\label{plots:plot1};   

              \addplot[black] {((3*\x-1)/(2*\x))};\label{plots:plot2};
                \addplot[black, dashed] {(\x)};\label{plots:plot3};
         \nextgroupplot[title={}, ylabel={$x_2$}]
              \addplot[blue]{(max((2-3*\x)/(2-2*\x),0))};\label{plots:plot1};        \addplot[black] {(1-\x)/(2*\x)};\label{plots:plot2};
                \addplot[black, dashed] {(1-\x)};\label{plots:plot3};
                \coordinate (top) at (rel axis cs:0,1);% coordinate at top of the first plot
                \coordinate (bot) at (rel axis cs:1,0);% coordinate at bottom of the last plot
    \end{groupplot}
    \path (top-|current bounding box.west)-- 
          node[anchor=south,rotate=90] { } 
          (bot-|current bounding box.west);
% legend
\path (top|-current bounding box.south)--
      coordinate(legendpos) 
      (bot|-current bounding box.south);
\matrix[
    matrix of nodes,
    anchor=north,
    draw,
    inner sep=0.2em,
    draw
  ]at([yshift=-1ex, xshift=-17ex]legendpos)
  {
    \ref{plots:plot1}& F(x)&[5pt]
    \ref{plots:plot2}& G(x)&[5pt]
    \ref{plots:plot3}& H(x)& \\};
\end{tikzpicture} 
\end{document}

Respuesta1

Intente con el siguiente código y debe ejecutarlo LuaLaTeXpara obtener el resultado:

\documentclass{article}
\usepackage{pgfplots,tikz}
\usetikzlibrary{matrix,calc,arrows,shapes,positioning}
\usepgfplotslibrary{groupplots}
\pgfplotsset{compat=1.12}
\begin{document}
\begin{tikzpicture}
    \begin{groupplot}[group style={group size= 2 by 1},height=6cm,width=6cm,xmin=0.5,ymin=0.5,ymax=1,xmax=1,samples=500,ytick={0.5,1},xtick={0.5,1}, xlabel={$v_1$},
    axis lines=left]
        \nextgroupplot[title={}, ylabel={$x_1$}]
              \addplot[blue,]{min(1,(\x/(2*(1-min(1,\x)))))};\label{plots:plot1};   

              \addplot[black] {((3*\x-1)/(2*\x))};\label{plots:plot2};
                \addplot[black, dashed] {(\x)};\label{plots:plot3};
         \nextgroupplot[title={}, ylabel={$x_2$}]
              \addplot[blue]{(max((2-3*\x)/(2-2*\x),0))};\label{plots:plot1};        \addplot[black] {(1-\x)/(2*\x)};\label{plots:plot2};
                \addplot[black, dashed] {(1-\x)};\label{plots:plot3};
                \coordinate (top) at (rel axis cs:0,1);% coordinate at top of the first plot
                \coordinate (bot) at (rel axis cs:1,0);% coordinate at bottom of the last plot
    \end{groupplot}
    \path (top-|current bounding box.west)-- 
          node[anchor=south,rotate=90] { } 
          (bot-|current bounding box.west);
% legend
\path (top|-current bounding box.south)--
      coordinate(legendpos) 
      (bot|-current bounding box.south);
\matrix[
    matrix of nodes,
    anchor=north,
    draw,
    inner sep=0.2em,
    draw
  ]at([yshift=-1ex, xshift=-17ex]legendpos)
  {
    \ref{plots:plot1}& F(x)&[5pt]
    \ref{plots:plot2}& G(x)&[5pt]
    \ref{plots:plot3}& H(x)& \\};
\end{tikzpicture} 
\end{document}

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