add graph for all functions

8 files changed, 164 insertions, 14 deletions

diff --git a/buch/chapters/110-elliptisch/images/Makefile b/buch/chapters/110-elliptisch/images/Makefile
index 3074994..cd8e905 100644
--- a/buch/chapters/110-elliptisch/images/Makefile
+++ b/buch/chapters/110-elliptisch/images/Makefile
@@ -6,7 +6,7 @@
 all:	lemniskate.pdf ellipsenumfang.pdf unvollstaendig.pdf rechteck.pdf \
 	ellipse.pdf pendel.pdf jacobiplots.pdf jacobidef.pdf jacobi12.pdf \
 	sncnlimit.pdf slcl.pdf torusschnitt.pdf kegelpara.pdf lemnispara.pdf \
-	ellpolnul.pdf
+	ellpolnul.pdf ellall.pdf
 
 lemniskate.pdf:	lemniskate.tex
 	pdflatex lemniskate.tex
@@ -115,5 +115,7 @@ lemnispara.pdf:	lemnispara.tex lemnisparadata.tex
 
 ltest:	lemnispara.pdf
 
-ellpolnul.pdf:	ellpolnul.tex
+ellpolnul.pdf:	ellpolnul.tex ellcommon.tex
 	pdflatex ellpolnul.tex
+ellall.pdf:	ellall.tex ellcommon.tex
+	pdflatex ellall.tex
diff --git a/buch/chapters/110-elliptisch/images/ellall.pdf b/buch/chapters/110-elliptisch/images/ellall.pdf
new file mode 100644
index 0000000..0047a52
--- /dev/null
+++ b/buch/chapters/110-elliptisch/images/ellall.pdf
diff --git a/buch/chapters/110-elliptisch/images/ellall.tex b/buch/chapters/110-elliptisch/images/ellall.tex
new file mode 100644
index 0000000..5d63322
--- /dev/null
+++ b/buch/chapters/110-elliptisch/images/ellall.tex
@@ -0,0 +1,148 @@
+%
+% 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]
+
+%\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=-3cm,yshift=0cm]
+\rechteck{gray}{1}
+\end{scope}
+
+\definecolor{sccolor}{rgb}{0.8,0.2,0.8}
+\definecolor{sdcolor}{rgb}{0.8,0.8,0.2}
+\definecolor{cdcolor}{rgb}{0.2,0.8,0.8}
+
+\begin{scope}[xshift=0cm]
+\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=3cm]
+\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) {$\frac{ik'}k$};
+\node at (-1,1) {$\infty$};
+\end{scope}
+
+\begin{scope}[xshift=6cm]
+\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}
+
+%
+% start row with denominator sn(u,k)
+%
+
+\begin{scope}[xshift=-3cm,yshift=-3cm]
+\rechteck{rot}{\operatorname{ns}(u,k)}
+\pol{(-1,-1)}{rot}
+\nullstelle{(-1,1)}{rot}
+\end{scope}
+
+\begin{scope}[xshift=0cm,yshift=-3cm]
+\rechteck{gray}{1}
+\end{scope}
+
+\begin{scope}[xshift=3cm,yshift=-3cm]
+\rechteck{sccolor}{\operatorname{cs}(u,k)}
+\pol{(1,-1)}{sccolor}
+\nullstelle{(-1,-1)}{sccolor}
+\end{scope}
+
+\begin{scope}[xshift=6cm,yshift=-3cm]
+\rechteck{sdcolor}{\operatorname{ds}(u,k)}
+\pol{(-1,1)}{sdcolor}
+\nullstelle{(-1,-1)}{sdcolor}
+\nullstelle{(1,1)}{sdcolor}
+\end{scope}
+
+%
+% start row with denominator cn(u,k)
+%
+
+\begin{scope}[xshift=-3cm,yshift=-6cm]
+\rechteck{blau}{\operatorname{nc}(u,k)}
+\pol{(1,-1)}{blau}
+\nullstelle{(-1,1)}{blau}
+\end{scope}
+
+\begin{scope}[xshift=0cm,yshift=-6cm]
+\rechteck{sccolor}{\operatorname{sc}(u,k)}
+\nullstelle{(1,-1)}{sccolor}
+\pol{(-1,-1)}{sccolor}
+\end{scope}
+
+\begin{scope}[xshift=3cm,yshift=-6cm]
+\rechteck{gray}{1}
+\end{scope}
+
+\begin{scope}[xshift=6cm,yshift=-6cm]
+\rechteck{cdcolor}{\operatorname{dc}(u,k)}
+\nullstelle{(1,1)}{cdcolor}
+\nullstelle{(1,-1)}{cdcolor}
+\pol{(-1,1)}{cdcolor}
+\end{scope}
+
+%
+% start row with denominator dn(u,k)
+%
+
+\begin{scope}[xshift=-3cm,yshift=-9cm]
+\rechteck{gruen}{\operatorname{nd}(u,k)}
+\pol{(1,1)}{gruen}
+\nullstelle{(-1,1)}{gruen}
+\end{scope}
+
+\begin{scope}[xshift=0cm,yshift=-9cm]
+\rechteck{sdcolor}{\operatorname{sd}(u,k)}
+\nullstelle{(-1,1)}{sdcolor}
+\pol{(-1,-1)}{sdcolor}
+\pol{(1,1)}{sdcolor}
+\end{scope}
+
+\begin{scope}[xshift=3cm,yshift=-9cm]
+\rechteck{cdcolor}{\operatorname{cd}(u,k)}
+\pol{(1,1)}{cdcolor}
+\pol{(1,-1)}{cdcolor}
+\nullstelle{(-1,1)}{cdcolor}
+\end{scope}
+
+\begin{scope}[xshift=6cm,yshift=-9cm]
+\rechteck{gray}{1}
+\end{scope}
+
+
+\end{tikzpicture}
+\end{document}
+
diff --git a/buch/chapters/110-elliptisch/images/ellpolnul.pdf b/buch/chapters/110-elliptisch/images/ellpolnul.pdf
index ca52cdf..d6549c4 100644
--- a/buch/chapters/110-elliptisch/images/ellpolnul.pdf
+++ b/buch/chapters/110-elliptisch/images/ellpolnul.pdf
diff --git a/buch/chapters/110-elliptisch/images/ellpolnul.tex b/buch/chapters/110-elliptisch/images/ellpolnul.tex
index 831b477..1ed6b22 100644
--- a/buch/chapters/110-elliptisch/images/ellpolnul.tex
+++ b/buch/chapters/110-elliptisch/images/ellpolnul.tex
@@ -1,5 +1,5 @@
 %
-% tikztemplate.tex -- template for standalon tikz images
+% ellpolnul.tex -- template for standalon tikz images
 %
 % (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
 %
@@ -9,15 +9,12 @@
 \usepackage{txfonts}
 \usepackage{pgfplots}
 \usepackage{csvsimple}
-\usetikzlibrary{arrows,intersections,math}
+\usetikzlibrary{arrows,intersections,math,calc}
 \begin{document}
+\input{ellcommon.tex}
 \def\skala{1}
 \begin{tikzpicture}[>=latex,thick,scale=\skala]
 
-\definecolor{rot}{rgb}{0.8,0,0}
-\definecolor{blau}{rgb}{0,0,1}
-\definecolor{gruen}{rgb}{0,0.6,0}
-
 \draw (-1,-1) rectangle (1,1);
 \node at (-1,-1) [below left] {$0$};
 \node at (1,-1) [below right] {$K$};
@@ -26,30 +23,33 @@
 \node at (0,0) {$u$};
 
 \begin{scope}[xshift=4cm]
-\fill[color=rot!20] (-1,-1) rectangle (1,1);
+\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) {$\infty$};
-\node[color=rot] at (0,0) {$\operatorname{sn}(u,k)$};
 \end{scope}
 
 \begin{scope}[xshift=7cm]
-\fill[color=blau!20] (-1,-1) rectangle (1,1);
+\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) {$\frac{ik'}k$};
 \node at (-1,1) {$\infty$};
-\node[color=blau] at (0,0) {$\operatorname{cn}(u,k)$};
 \end{scope}
 
 \begin{scope}[xshift=10cm]
-\fill[color=gruen!20] (-1,-1) rectangle (1,1);
+\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) {$\infty$};
-\node[color=gruen] at (0,0) {$\operatorname{dn}(u,k)$};
 \end{scope}
 
 \end{tikzpicture}
diff --git a/buch/chapters/110-elliptisch/images/jacobiplots.pdf b/buch/chapters/110-elliptisch/images/jacobiplots.pdf
index d30f670..49bfeb2 100644
--- a/buch/chapters/110-elliptisch/images/jacobiplots.pdf
+++ b/buch/chapters/110-elliptisch/images/jacobiplots.pdf
diff --git a/buch/chapters/110-elliptisch/images/kegelpara.pdf b/buch/chapters/110-elliptisch/images/kegelpara.pdf
index 65b097f..65a5b45 100644
--- a/buch/chapters/110-elliptisch/images/kegelpara.pdf
+++ b/buch/chapters/110-elliptisch/images/kegelpara.pdf
diff --git a/buch/chapters/110-elliptisch/images/torusschnitt.pdf b/buch/chapters/110-elliptisch/images/torusschnitt.pdf
index 2eba07e..519a5a3 100644
--- a/buch/chapters/110-elliptisch/images/torusschnitt.pdf
+++ b/buch/chapters/110-elliptisch/images/torusschnitt.pdf