%
% ellpolnul.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,calc}
\begin{document}
\input{ellcommon.tex}
\def\skala{1}
\begin{tikzpicture}[>=latex,thick,scale=\skala]

\input rechteckpfade3.tex

\pgfmathparse{1/\xmax}
\xdef\dx{\pgfmathresult}
\xdef\dy{\dx}

\netz{0.1pt}
\draw[line width=0.1pt] (-1,0) -- (1,0);
\fill[color=white,opacity=0.5] (-1,-1) rectangle (1,1);
\draw (-1,-1) rectangle (1,1);
\node at (-1,-1) [below left] {$0$};
\node at (1,-1) [below right] {$K$};
\node at (1,1) [above right] {$K+iK'$};
\node at (-1,1) [above left] {$iK'$};
\node at (0,0) {$u$};

\begin{scope}[xshift=4cm]
\rechteck{rot}{\operatorname{sn}(u,k)}
\nullstelle{(-1,-1)}{rot}
\pol{(-1,1)}{rot}
\node at (-1,-1) {$0$};
\node at (1,-1) {$1$};
\node at (1,1) {$\frac1k$};
\node at (-1,1) {$\infty$};
\end{scope}

\begin{scope}[xshift=7cm]
\rechteck{blau}{\operatorname{cn}(u,k)}
\nullstelle{(1,-1)}{blau}
\pol{(-1,1)}{blau}
\node at (-1,-1) {$1$};
\node at (1,-1) {$0$};
\node at (1,1) {$\frac{k'}{ik}$};
\node at (-1,1) {$\infty$};
\end{scope}

\begin{scope}[xshift=10cm]
\rechteck{gruen}{\operatorname{dn}(u,k)}
\nullstelle{(1,1)}{gruen}
\pol{(-1,1)}{gruen}
\node at (-1,-1) {$1$};
\node at (1,-1) {$k'$};
\node at (1,1) {$0$};
\node at (-1,1) {$\infty$};
\end{scope}

\end{tikzpicture}
\end{document}