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%
% jacobiplots.tex -- template for standalon tikz images
%
% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
%
\documentclass[tikz]{standalone}
\usepackage{amsmath}
\usepackage{times}
\usepackage{txfonts}
\usepackage{pgfplots}
\usepackage{csvsimple}
\usetikzlibrary{arrows,intersections,math}
\begin{document}
\def\skala{1}
\def\dx{1}
\def\dy{2}
\definecolor{darkgreen}{rgb}{0,0.6,0}
\input{jacobipaths.tex}
\def\piticks{
\draw (3.1415,-0.1) -- (3.1415,0.1);
\node at (3.1415,0) [below] {$\pi$};
\draw (6.2831,-0.1) -- (6.2831,0.1);
\node at (6.2831,0) [below] {$2\pi$};
\draw (9.4248,-0.1) -- (9.4248,0.1);
\node at (9.4248,0) [below] {$3\pi$};
\draw (12.5664,-0.1) -- (12.5664,0.1);
\node at (12.5664,0) [below] {$4\pi$};
}
\def\mlabel#1{
%\fill[color=gray!50] (-0.2,-6) rectangle (7.0,2.3);
\fill[color=gray!50] (-0.2,1.65) rectangle (7.0,2.3);
\draw[line width=0.5pt] (-0.2,-6) rectangle (7.0,2.3);
\begin{scope}[scale=0.5]
\node at (6.5,{\dy+2}) {$k^2 = #1$};
\end{scope}
}
\def\jacobiplot#1#2#3#4{
\begin{scope}[scale=0.5]
\draw[->] (-0.1,0) -- (13.5,0) coordinate[label={$u$}];
\piticks
\draw[->] (0,-2.1) -- (0,2.5) coordinate[label={right:$\operatorname{sn}(u,k)$}];
\draw[color=red#4] #1;
\end{scope}
\begin{scope}[yshift=-2.5cm,scale=0.5]
\draw[->] (-0.1,0) -- (13.5,0) coordinate[label={$u$}];
\piticks
\draw[->] (0,-2.1) -- (0,2.5) coordinate[label={right:$\operatorname{cn}(u,k)$}];
\draw[color=blue#4] #2;
\end{scope}
\begin{scope}[yshift=-5.5cm,scale=0.5]
\draw[->] (-0.1,0) -- (13.5,0) coordinate[label={$u$}];
\piticks
\draw[->] (0,-0.1) -- (0,3.5) coordinate[label={right:$\operatorname{dn}(u,k)$}];
\draw[color=darkgreen#4] #3;
\end{scope}
}
%\input{blubb.tex}
\begin{tikzpicture}[>=latex,thick,scale=\skala]
\begin{scope}
\mlabel{\mone}
\jacobiplot{\snzero}{\cnzero}{\dnzero}{!50}
\jacobiplot{\snone}{\cnone}{\dnone}{}
\end{scope}
\begin{scope}[xshift=7.3cm]
\mlabel{\mfive}
\jacobiplot{\snzero}{\cnzero}{\dnzero}{!50}
\jacobiplot{\snfive}{\cnfive}{\dnfive}{}
\end{scope}
\begin{scope}[xshift=0cm,yshift=-8.4cm]
\mlabel{\mseven}
\jacobiplot{\snzero}{\cnzero}{\dnzero}{!50}
%\jacobiplot{\sneight}{\cneight}{\dneight}{}
\jacobiplot{\snseven}{\cnseven}{\dnseven}{}
\end{scope}
\begin{scope}[xshift=7.3cm,yshift=-8.4cm]
\mlabel{\mnine}
\jacobiplot{\snzero}{\cnzero}{\dnzero}{!50}
\jacobiplot{\snnine}{\cnnine}{\dnnine}{}
\end{scope}
\end{tikzpicture}
\end{document}
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