% cd-graph.sty
% from http://www.taylorgruppe.de/circdia/
% File created by Stefan Krause -- version 1.2.
% Supports graphs in coordinate systems for circdia.sty.
% Bode diagram
\newenvironment{bodedia}[4]{
 \newcommand{\horizgrid}[4]{
  \setcounter{cdcounter}{##1}
  \whiledo{\value{cdcounter}<##2}{
   \draw [cdgridstyle] (\thecdcounter*#3, ##3*#4-0.5) -- (\thecdcounter*#3, ##4*#4+0.5);
   \draw [cdgridstyle, shift = {(0.301030*#3, 0)}] (\thecdcounter*#3, ##3*#4-0.5) -- (\thecdcounter*#3, ##4*#4+0.5);    
   \draw [cdgridstyle, shift = {(0.477121*#3, 0)}] (\thecdcounter*#3, ##3*#4-0.5) -- (\thecdcounter*#3, ##4*#4+0.5);    
   \draw [cdgridstyle, shift = {(0.602060*#3, 0)}] (\thecdcounter*#3, ##3*#4-0.5) -- (\thecdcounter*#3, ##4*#4+0.5);    
   \draw [cdgridstyle, shift = {(0.698970*#3, 0)}] (\thecdcounter*#3, ##3*#4-0.5) -- (\thecdcounter*#3, ##4*#4+0.5);    
   \draw [cdgridstyle, shift = {(0.778151*#3, 0)}] (\thecdcounter*#3, ##3*#4-0.5) -- (\thecdcounter*#3, ##4*#4+0.5);    
   \draw [cdgridstyle, shift = {(0.845098*#3, 0)}] (\thecdcounter*#3, ##3*#4-0.5) -- (\thecdcounter*#3, ##4*#4+0.5);    
   \draw [cdgridstyle, shift = {(0.903090*#3, 0)}] (\thecdcounter*#3, ##3*#4-0.5) -- (\thecdcounter*#3, ##4*#4+0.5);    
   \draw [cdgridstyle, shift = {(0.954243*#3, 0)}] (\thecdcounter*#3, ##3*#4-0.5) -- (\thecdcounter*#3, ##4*#4+0.5);    
   \stepcounter{cdcounter}
  }
  \draw [cdgridstyle] (\thecdcounter*#3, ##3*#4-0.5) -- (\thecdcounter*#3, ##4*#4+0.5);
 }
 \newcommand{\vertgrid}[5]{
  \setcounter{cdcounter}{##3}
  \whiledo{\value{cdcounter}<##4}{
   \draw [cdgridstyle] (##1*#3-0.5, \thecdcounter*#4) -- (##2*#3+0.5, \thecdcounter*#4);
   \addtocounter{cdcounter}{##5}
  }
  \draw [cdgridstyle] (##1*#3-0.5, \thecdcounter*#4) -- (##2*#3+0.5, \thecdcounter*#4);
 }
 \newcommand{\horizaxis}[4][1.5]{
  \draw (##2*#3-1, 0) -- (##3*#3+1, 0);
  \begin{scope}[shift = {(##3*#3, 0)}]
   \cdbigarrow{2}{0}{0}
   \cdputtext{2}{##1}{r}{##4}
  \end{scope}
 }
 \newcommand{\vertaxis}[5][0.75]{
  \draw (##2*#3-3, ##3*#4-1) -- (##2*#3-3, ##4*#4+1);
  \begin{scope}[shift = {(##2*#3-3, ##4*#4)}]
   \cdbigarrow{0}{2}{90}
   \ifthenelse{\lengthtest{##1pt>0pt}}{\cdputtext{##1}{1}{l}{##5}}{\cdputtext{##1}{1}{r}{##5}}
  \end{scope}
 }
 \newcommand{\horiztick}[3][-1.5]{
  \begin{scope}[shift = {(##2*#3, 0)}]
   \draw (0, -0.3) -- (0, 0.3);
   \cdputtext{0}{##1}{c}{##3}
  \end{scope}
 }
 \newcommand{\verttick}[4][-0.75]{
  \begin{scope}[shift = {(##2*#3-3, ##3*#4)}]
   \draw (-0.3, 0) -- (0.3, 0);
   \ifthenelse{\lengthtest{##1pt>0pt}}{\cdputtext{##1}{0}{l}{##4}}{\cdputtext{##1}{0}{r}{##4}}
  \end{scope}
 }
 \newcommand{\coordcurve}[2][0.6]{
  \begin{scope}[xscale = #3, yscale = #4]
   \draw [cdmedlines] plot [smooth, tension = ##1] coordinates {##2};
  \end{scope}
 }
 \newcommand{\scaledscope}[2][]{
  \begin{scope}[xscale = #3, yscale = #4, ##1]
   ##2
  \end{scope}
 }
 \begin{scope}[shift = {(#1, #2)}]
}{\end{scope}}
% General Cartesian diagram
\newenvironment{cartdia}[4]{
 \newcommand{\horizgrid}[5]{
  \FPsub\cdfloat{##2}{##1}
  \FPdiv\cdfloat\cdfloat{##5}
  \FPadd\cdfloat\cdfloat{1.001}
  \FPtrunc\cdfloat\cdfloat0
  \setcounter{cdcounter}{\FPprint\cdfloat}
  \FPset\cdfloat{##1}
  \whiledo{\value{cdcounter}>0}{
   \draw [cdgridstyle] (\FPprint\cdfloat*#3, ##3*#4-0.5) -- (\FPprint\cdfloat*#3, ##4*#4+0.5);
   \FPadd\cdfloat\cdfloat{##5}
   \addtocounter{cdcounter}{-1}
  }
 }
 \newcommand{\vertgrid}[5]{
  \FPsub\cdfloat{##4}{##3}
  \FPdiv\cdfloat\cdfloat{##5}
  \FPadd\cdfloat\cdfloat{1.001}
  \FPtrunc\cdfloat\cdfloat0
  \setcounter{cdcounter}{\FPprint\cdfloat}
  \FPset\cdfloat{##3}
  \whiledo{\value{cdcounter}>0}{
   \draw [cdgridstyle] (##1*#3-0.5, \FPprint\cdfloat*#4) -- (##2*#3+0.5, \FPprint\cdfloat*#4);
   \FPadd\cdfloat\cdfloat{##5}
   \addtocounter{cdcounter}{-1}
  }
 }
 \newcommand{\horizaxis}[4][1.5]{
  \draw (##2*#3-1, 0) -- (##3*#3+1, 0);
  \begin{scope}[shift = {(##3*#3, 0)}]
   \cdbigarrow{2}{0}{0}
   \cdputtext{2}{##1}{r}{##4}
  \end{scope}
 }
 \newcommand{\vertaxis}[4][0.75]{
  \draw (0, ##2*#4-1) -- (0, ##3*#4+1);
  \begin{scope}[shift = {(0, ##3*#4)}]
   \cdbigarrow{0}{2}{90}
   \ifthenelse{\lengthtest{##1pt>0pt}}{\cdputtext{##1}{1}{l}{##4}}{\cdputtext{##1}{1}{r}{##4}}
  \end{scope}
 }
 \newcommand{\horiztick}[3][-1.5]{
  \begin{scope}[shift = {(##2*#3, 0)}]
   \draw (0, -0.3) -- (0, 0.3);
   \cdputtext{0}{##1}{c}{##3}
  \end{scope}
 }
 \newcommand{\verttick}[3][-0.75]{
  \begin{scope}[shift = {(0, ##2*#4)}]
   \draw (-0.3, 0) -- (0.3, 0);
   \ifthenelse{\lengthtest{##1pt>0pt}}{\cdputtext{##1}{0}{l}{##3}}{\cdputtext{##1}{0}{r}{##3}}
  \end{scope}
 }
 \newcommand{\coordcurve}[2][0.6]{
  \begin{scope}[xscale = #3, yscale = #4]
   \draw [cdmedlines] plot [smooth, tension = ##1] coordinates {##2};
  \end{scope}
 }
 \newcommand{\scaledscope}[2][]{
  \begin{scope}[xscale = #3, yscale = #4, ##1]
   ##2
  \end{scope}
 }
 \begin{scope}[shift = {(#1, #2)}]
}{\end{scope}}
% Pole-zero diagram
\newenvironment{polezerodia}[3]{
 \newcommand{\drawpole}[2]{
  \draw [shift = {(##1*#3, ##2*#3)}] (-0.5, -0.5) -- (0.5, 0.5) (-0.5, 0.5) -- (0.5, -0.5);
 }
 \newcommand{\drawzero}[2]{
  \draw (##1*#3, ##2*#3) circle (0.6);
 }
 \begin{cartdia}{#1}{#2}{#3}{#3}
}{\end{cartdia}}