[Tex/LaTex] How to fill between three circles like this pictures

fillbetweenpgfplots

I am trying to fill like this picture,

but I can not. My code is

\documentclass[12pt]{standalone}
\usepackage{pgfplots}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{patterns}
\pgfplotsset{compat=1.15}
\usepackage{fouriernc}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
    axis line style = very thick,   
    axis lines = center,
    xlabel=$x$,ylabel=$y$,
        domain=-5:4.7,
        ymin=-5,
        ymax=5,
        xmin=-5,
        xmax=4.7,
        xticklabels={},yticklabels={},
 samples=100,xtick distance=1,
ytick distance=1,unit vector ratio*=1 1 1,
    width=10cm,
    grid=major,
    grid style={gray!30}]
% Draw circles
\draw[thick] (axis cs:0,-2) circle[radius=2];
\draw[thick] (axis cs:0,2) circle[radius=2];
\draw[thick] (axis cs:0,0) circle[radius=4];
\node at (axis cs:-0.25, -0.25) {$O$} ;
\node at (axis cs:-4.5, -0.25) {$-4$} ;
\node at (axis cs:4.2, -0.25) {$4$} ;
\node at (axis cs:-0.5, -4.3) {$-4$} ;
\node at (axis cs:-0.5, 4.3) {$-4$} ;
\node at (axis cs:-0.5, -2) {$-2$} ;
\node at (axis cs:-0.5, 2) {$2$} ;
\addplot[mark=*] coordinates {(0,-2) (0,2) (0,-4) (0,4)
};
\end{axis}
\end{tikzpicture}
\end{document}

Best Answer

Use the even odd rule. Also, I changed to 1.14 just to compile in my local machine

\documentclass[12pt]{standalone}
\usepackage{pgfplots}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{patterns}
\pgfplotsset{compat=1.14}
%\usepackage{fouriernc}
\begin{document}
\begin{tikzpicture}
  \begin{axis}[
    axis line style = very thick,   
    axis lines = center,
    xlabel=$x$,ylabel=$y$,
    domain=-5:4.7,
    ymin=-5,
    ymax=5,
    xmin=-5,
    xmax=4.7,
    xticklabels={},yticklabels={},
    samples=100,xtick distance=1,
    ytick distance=1,unit vector ratio*=1 1 1,
    width=10cm,
    grid=major,
    grid style={gray!30}]
    % Draw circles
    \draw[fill, even odd rule, pattern = north west lines] (axis cs:0,0) circle[radius=4] {(axis cs:0,-2) circle[radius=2] (axis cs:0,2) circle[radius=2]};
    %\draw[thick] (axis cs:0,-2) circle[radius=2];
    %\draw[thick] (axis cs:0,2) circle[radius=2];
    %\draw[thick] (axis cs:0,0) circle[radius=4];
    \node at (axis cs:-0.25, -0.25) {$O$} ;
    \node at (axis cs:-4.5, -0.25) {$-4$} ;
    \node at (axis cs:4.2, -0.25) {$4$} ;
    \node at (axis cs:-0.5, -4.3) {$-4$} ;
    \node at (axis cs:-0.5, 4.3) {$-4$} ;
    \node at (axis cs:-0.5, -2) {$-2$} ;
    \node at (axis cs:-0.5, 2) {$2$} ;
    \addplot[mark=*] coordinates {(0,-2) (0,2) (0,-4) (0,4)
    };
  \end{axis}
\end{tikzpicture}
\end{document}

Related Solutions

[Tex/LaTex] plotting two time series with bounds

This happens because PGFPlots only uses one "stack" per axis: You're stacking the second confidence interval on top of the first. The easiest way to fix this is probably to use the approach described in "Is there an easy way of using line thickness as error indicator in a plot?": After plotting the first confidence interval, stack the upper bound on top again, using stack dir=minus. That way, the stack will be reset to zero, and you can draw the second confidence interval in the same fashion as the first:

\documentclass{standalone}
\usepackage{pgfplots, tikz}

\usepackage{pgfplotstable}

\pgfplotstableread{
temps   y_h y_h__inf    y_h__sup    y_f y_f__inf    y_f__sup    

1   0.237340    0.135170    0.339511    0.237653    0.135482    0.339823    
2   0.561320    0.422007    0.700633    0.165871    0.026558    0.305184    
3   0.694760    0.534205    0.855314    0.074856    -0.085698   0.235411    
4   0.728306    0.560179    0.896432    0.003361    -0.164765   0.171487    
5   0.711710    0.544944    0.878477    -0.044582   -0.211349   0.122184    
6   0.671241    0.511191    0.831291    -0.073347   -0.233397   0.086703    
7   0.621177    0.471219    0.771135    -0.088418   -0.238376   0.061540    
8   0.569354    0.431826    0.706882    -0.094382   -0.231910   0.043146    
9   0.519973    0.396571    0.643376    -0.094619   -0.218022   0.028783    
10  0.475121    0.366990    0.583251    -0.091467   -0.199598   0.016664    
}{\table}

\begin{document}
\begin{tikzpicture}

    \begin{axis}
    % y_h confidence interval
    \addplot [stack plots=y, fill=none, draw=none, forget plot]   table [x=temps, y=y_h__inf]   {\table} \closedcycle;
    \addplot [stack plots=y, fill=gray!50, opacity=0.4, draw opacity=0, area legend]   table [x=temps, y expr=\thisrow{y_h__sup}-\thisrow{y_h__inf}]   {\table} \closedcycle;
    % subtract the upper bound so our stack is back at zero
    \addplot [stack plots=y, stack dir=minus, forget plot, draw=none] table [x=temps, y=y_h__sup] {\table};

    % y_f confidence interval
    \addplot [stack plots=y, fill=none, draw=none, forget plot]   table [x=temps, y=y_f__inf]   {\table} \closedcycle;
    \addplot [stack plots=y, fill=gray!50, opacity=0.4, draw opacity=0, area legend]   table [x=temps, y expr=\thisrow{y_f__sup}-\thisrow{y_f__inf}]   {\table} \closedcycle;

    % the line plots (y_h and y_f)    
    \addplot [stack plots=false, very thick,smooth,blue]  table [x=temps, y=y_h]   {\table};
    \addplot [stack plots=false, very thick,smooth,blue]  table [x=temps, y=y_f]   {\table};
    \end{axis}

\end{tikzpicture}
\end{document}

[Tex/LaTex] Fill intersection between two parametric paths (e.g. circles) in pgfplots

You can use intersection segments:

\documentclass[margin=5pt]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\begin{document}
  \begin{tikzpicture}
%
    \pgfdeclarelayer{pre main}
    \pgfsetlayers{pre main,main}
%
    \begin{axis}[axis equal,no markers,hide axis,samples=100]
      \addplot+[domain=360:0,name path=k1] ({1.5*cos(x)},{1.5*sin(x)});
      \addplot+[domain=360:0,name path=k2] ({cos(x) + 2},{sin(x)});
%
      \begin{pgfonlayer}{pre main}
        \fill [orange!50,
          intersection segments={
            of=k1 and k2,
            sequence={L0--L1--R2}
          }];
      \end{pgfonlayer}
%
    \end{axis} 
  \end{tikzpicture}
\end{document}

enter image description here

To show the intersection segments:

enter image description here

So the green (L0), orange (L1) and yellow (R2) segments are needed in the sequence to fill the intersection of the two cirles.

Code:

\documentclass[margin=5pt]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\begin{document}
  \begin{tikzpicture}
    \pgfdeclarelayer{pre main}
  \pgfsetlayers{pre main,main}
    \begin{axis}[axis equal,no markers,hide axis,samples=100]
      \addplot+[domain=360:0,name path=k1] ({1.5*cos(x)},{1.5*sin(x)});
      \addplot+[domain=360:0,name path=k2] ({cos(x) + 2},{sin(x)});
%
      \begin{scope}[line width=2pt]
        \foreach[count=\i from 0] \c in {green,orange,purple}{
          \edef\temp{\noexpand\draw [\c,
            intersection segments={of=k1 and k2,sequence={L\i}}]node[right]{L\i};}
          \temp}
        \foreach[count=\i from 0] \c in {blue,gray,yellow}{
          \edef\temp{\noexpand\draw [\c,
            intersection segments={of=k1 and k2,sequence={R\i}}]node[left]{R\i};}
          \temp}
      \end{scope}
%
  \end{axis} 
  \end{tikzpicture}
\end{document}

Best Answer

Related Solutions

[Tex/LaTex] plotting two time series with bounds

[Tex/LaTex] Fill intersection between two parametric paths (e.g. circles) in pgfplots

Related Question