MathematicalEngineeringDeepLearning/tikz/figure8-8-DIFFERENT-LATEX-COMPILER-wgan-joint-distribution.tex at master · yoninazarathy/MathematicalEngineeringDeepLearning · GitHub

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\documentclass[border=1cm]{standalone}
\usepackage{pgfplots}
\usetikzlibrary{arrows.meta}
\usetikzlibrary{shapes.geometric, shapes.misc, calc}
\usepackage{medl_colors}
\usetikzlibrary{intersections, patterns}
\pgfplotsset{compat=1.18}


\begin{document}

\pgfmathdeclarefunction{gauss}{3}{%
  \pgfmathparse{1/(#3*sqrt(2*pi))*exp(-((#1-#2)^2)/(2*#3^2))}%
}

\begin{tikzpicture}
\begin{axis}[
  name=axis,
  axis line style={very thick},
  clip=false,
  samples=1000,
  ymin=0, xmin=0, xmax=40, ymax=1,
  axis lines*=left,
  xtick=\empty, ytick=\empty,
  enlargelimits=false,
  axis on top,
  no markers,
  every axis y label/.style={at=(current axis.above origin),anchor=south},
  every axis x label/.style={at=(current axis.right of origin),anchor=west},
  width=10cm,
  height=10cm,
  xlabel={$p_{{\cal D}}$},
  ylabel={$p_G$},
]

\addplot[border-red,thick, rotate=180, xshift=-100] {gauss(x, 0, 1.2)}   coordinate [pos=0.5] (g1);
\addplot[border-green,thick, rotate=180, xshift=-200] {gauss(x, 0, 1.2)}   coordinate [pos=0.5] (g2);
\addplot[border-red,thick, rotate=90, xshift=170, yshift=-30] {gauss(x, 0, 1.2)}   coordinate [pos=0.5] (g3);
\addplot[border-green,thick, rotate=90,  xshift=172, yshift=-30] {gauss(x, 0, 1.2)}   coordinate [pos=0.5] (g4);

\end{axis}

\path[draw, thick, name path=splitline]  (axis.south west) -- ($(axis.north east)+(-2, -2)$);

\path[name path=r1line] (g1 |- g3) -- (g1);
\path[name path=r2line] (g1 |- g3) -- ++(100,0);
\path[name intersections={of=splitline and r1line, by=ra}];
\path[name intersections={of=splitline and r2line, by=rb}];

\path[name path=g1line] (g2 |- g3) -- (g2);
\path[name path=g2line] (g2 |- g3) -- ++(100,0);
\path[name intersections={of=splitline and g1line, by=ga}];
\path[name intersections={of=splitline and g2line, by=gb}];

\def\radius{1}
\pgfmathsetseed{4}
% % Draw the circle
  \draw[border-red, thick, draw=none] (g1 |- g3) circle (\radius);
  \foreach \i in {1,...,1000} {
     \pgfmathsetmacro{\angle}{random(0,360)}
    \pgfmathsetmacro{\r}{min(1.5\radius, -0.3*ln(random())*\radius)}
     \draw[fill=border-red, draw=none] ($(g1 |- g3)+(\angle:\r)$) circle (1pt);
  }
  \foreach \i in {1,...,1000} {
     \pgfmathsetmacro{\angle}{random(0,360)}
    \pgfmathsetmacro{\r}{min(1.5\radius, -0.3*ln(random())*\radius)}
     \draw[fill=border-green, draw=none] ($(g2 |- g3)+(\angle:\r)$) circle (1pt);
  }

\draw[-,thick]  (g2 |- g3) -- (ga) node[pos=.7, left, border-green] {$W(p_{{\cal D}}, p_G)$};
\draw[-,thick]  (g1 |- g3) -- (ra) node[pos=.6, right, border-red] {$W(p_{{\cal D}}, p_G)$};
\end{tikzpicture}

\end{document}