latex-macro.tex

% Latex circuit diagram macros - version 1.2 (18th August 2012)
% Kimmo Silvonen, Vesa Linja-aho (License: LGPL)
% Homepage: http://code.google.com/p/latex-circuit-diagram/

\usepackage{upgreek} % For correct micro (\mu vs. \upmu) symbol

% The following are the macros:

% v standard voltage source
\newcommand{\vst}[2]
 {\put(#1){\begin{picture}(32,50)
 \put(0,25){\circle{20}}
 \put(0,0){\line(0,1){50}}
 \put(-8,38){\makebox(0,0){$+$}}
 \put(-8,12){\makebox(0,0){$-$}}
 \put(-13,25){\makebox(0,0)[r]{$#2$}}
\end{picture}}}

% v standard voltage source down
\newcommand{\vdst}[2]
 {\put(#1){\begin{picture}(32,50)
 \put(0,25){\circle{20}}
 \put(0,0){\line(0,1){50}}
 \put(-8,38){\makebox(0,0){$-$}}
 \put(-8,12){\makebox(0,0){$+$}}
 \put(-13,25){\makebox(0,0)[r]{$#2$}}
\end{picture}}}

% v dc voltage source
\newcommand{\vba}[2]
 {\put(#1){\begin{picture}(32,50)
 \put(-5,23){\line(1,0){10}}
 \put(-10,27){\line(1,0){20}}
 \put(0,0){\line(0,1){23}}
 \put(0,27){\line(0,1){23}}
 \put(-13,25){\makebox(0,0)[r]{$#2$}}
\end{picture}}}

% v dc voltage source down
\newcommand{\vdba}[2]
 {\put(#1){\begin{picture}(32,50)
 \put(-5,27){\line(1,0){10}}
 \put(-10,23){\line(1,0){20}}
 \put(0,0){\line(0,1){23}}
 \put(0,27){\line(0,1){23}}
 \put(-13,25){\makebox(0,0)[r]{$#2$}}
\end{picture}}}

% v current source
\newcommand{\vj}[2]
 {\put(#1){\begin{picture}(32,50)
 \put(0,25){\circle{20}}
 \put(-10,25){\line(1,0){20}}
 \put(0,35){\line(0,1){15}}
 \put(0,0){\line(0,1){15}}
 \put(-13,25){\makebox(0,0)[r]{$#2$}}
 \thicklines
 \put(0,42.5){\vector(0,1){0}}
\end{picture}}}

% v current source down
\newcommand{\vdj}[2]
 {\put(#1){\begin{picture}(32,50)
 \put(0,25){\circle{20}}
 \put(-10,25){\line(1,0){20}}
 \put(0,0){\line(0,1){15}}
 \put(0,35){\line(0,1){15}}
 \put(-13,25){\makebox(0,0)[r]{$#2$}}
 \thicklines
 \put(0,7.5){\vector(0,-1){0}}
\end{picture}}}

% v line
\newcommand{\vln}[2]
 {\put(#1){\begin{picture}(10,50)
 \put(0,0){\line(0,1){#2}}
\end{picture}}}

% h standard voltage source
\newcommand{\hst}[2]
 {\put(#1){\begin{picture}(50,32)
 \put(25,0){\circle{20}}
 \put(0,0){\line(1,0){50}}
 \put(12,-8){\makebox(0,0){$-$}}
 \put(38,-8){\makebox(0,0){$+$}}
 \put(25,-19){\makebox(0,0){$#2$}}
\end{picture}}}

% h standard voltage source left
\newcommand{\hlst}[2]
 {\put(#1){\begin{picture}(50,32)
 \put(25,0){\circle{20}}
 \put(0,0){\line(1,0){50}}
 \put(12,-8){\makebox(0,0){$+$}}
 \put(38,-8){\makebox(0,0){$-$}}
 \put(25,-19){\makebox(0,0){$#2$}}
\end{picture}}}

% h dc voltage source
\newcommand{\hba}[2]
 {\put(#1){\begin{picture}(50,32)
 \put(23,-5){\line(0,1){10}}
 \put(27,-10){\line(0,1){20}}
 \put(0,0){\line(1,0){23}}
 \put(27,0){\line(1,0){23}}
 \put(25,-19){\makebox(0,0){$#2$}}
\end{picture}}}

% h dc voltage source left
\newcommand{\hlba}[2]
 {\put(#1){\begin{picture}(50,32)
 \put(27,-5){\line(0,1){10}}
 \put(23,-10){\line(0,1){20}}
 \put(0,0){\line(1,0){23}}
 \put(27,0){\line(1,0){23}}
 \put(25,-19){\makebox(0,0){$#2$}}
\end{picture}}}

% h current source
\newcommand{\hj}[2]
 {\put(#1){\begin{picture}(50,32)
 \put(25,0){\circle{20}}
 \put(25,-10){\line(0,1){20}}
 \put(35,0){\line(1,0){15}}
 \put(0,0){\line(1,0){15}}
 \put(25,-19){\makebox(0,0){$#2$}}
 \thicklines
 \put(42.5,0){\vector(1,0){0}}
\end{picture}}}

% h current source left
\newcommand{\hlj}[2]
 {\put(#1){\begin{picture}(50,32)
 \put(25,0){\circle{20}}
 \put(25,-10){\line(0,1){20}}
 \put(0,0){\line(1,0){15}}
 \put(35,0){\line(1,0){15}}
 \put(25,-19){\makebox(0,0){$#2$}}
 \thicklines
 \put(7.5,0){\vector(-1,0){0}}
\end{picture}}}

% h line
\newcommand{\hln}[2]
 {\put(#1){\begin{picture}(400,10)
 \put(0,0){\line(1,0){#2}}
\end{picture}}}

% v voltage source (old)
\newcommand{\ve}[2]
 {\put(#1){\begin{picture}(32,50)
 \put(0,25){\circle{20}}
 \put(0,0){\line(0,1){15}}
 \put(0,35){\line(0,1){15}}
 \put(-13,25){\makebox(0,0)[r]{$#2$}}
 \thicklines
 \put(0,15){\vector(0,1){20}}
\end{picture}}}

% v voltage source down (old)
\newcommand{\vde}[2]
 {\put(#1){\begin{picture}(32,50)
 \put(0,25){\circle{20}}
 \put(0,0){\line(0,1){15}}
 \put(0,35){\line(0,1){15}}
 \put(-13,25){\makebox(0,0)[r]{$#2$}}
 \thicklines
 \put(0,35){\vector(0,-1){20}}
\end{picture}}}

% h voltage source
\newcommand{\he}[2]
 {\put(#1){\begin{picture}(50,32)
 \put(25,0){\circle{20}}
 \put(0,0){\line(1,0){15}}
 \put(35,0){\line(1,0){15}}
 \put(25,-19){\makebox(0,0){$#2$}}
 \thicklines
 \put(15,0){\vector(1,0){20}}
\end{picture}}}

% h voltage source left
\newcommand{\hle}[2]
 {\put(#1){\begin{picture}(50,32)
 \put(25,0){\circle{20}}
 \put(0,0){\line(1,0){15}}
 \put(35,0){\line(1,0){15}}
 \put(25,-19){\makebox(0,0){$#2$}}
 \thicklines
 \put(35,0){\vector(-1,0){20}}
\end{picture}}}

% v controlled voltage source
\newcommand{\vcvs}[2]
 {\put(#1){\begin{picture}(32,50)
 \put(0,0){\line(0,1){15}}
 \put(0,35){\line(0,1){15}}
 \put(0,15){\line(1,1){10}}
 \put(0,15){\line(-1,1){10}}
 \put(0,35){\line(-1,-1){10}}
 \put(0,35){\line(1,-1){10}}
 \put(-13,25){\makebox(0,0)[r]{$#2$}}
 \put(-20,40){\makebox(0,0){$+$}}
 \put(-20,10){\makebox(0,0){$-$}}
\end{picture}}}

% v controlled current source
\newcommand{\vccs}[2]
 {\put(#1){\begin{picture}(32,50)
 \put(0,0){\line(0,1){15}}
 \put(0,35){\line(0,1){15}}
 \put(0,18){\vector(0,1){14}}
 \put(0,15){\line(1,1){10}}
 \put(0,15){\line(-1,1){10}}
 \put(0,35){\line(-1,-1){10}}
 \put(0,35){\line(1,-1){10}}
 \put(-13,25){\makebox(0,0)[r]{$#2$}}
\end{picture}}}

% v nonstandard voltage source
\newcommand{\vnst}[2]
 {\put(#1){\begin{picture}(32,50)
 \put(0,25){\circle{20}}
 \put(0,0){\line(0,1){15}}
 \put(0,35){\line(0,1){15}}
 \put(-20,25){\makebox(0,0)[l]{$#2$}}
\end{picture}}}

% v impedance
\newcommand{\vz}[2]
 {\put(#1){\begin{picture}(28,50)
 \put(-5,10){\framebox(10,30)}
 \put(0,0){\line(0,1){10}}
 \put(0,40){\line(0,1){10}}
 \put(-12,25){\makebox(0,0)[r]{$#2$}}
\end{picture}}}

% v capasitance
\newcommand{\vc}[2]
 {\put(#1){\begin{picture}(32,50)
 \put(0,0){\line(0,1){23}}
 \put(0,27){\line(0,1){23}}
 \put(-10,23){\line(1,0){20}}
 \put(-10,27){\line(1,0){20}}
 \put(-12,25){\makebox(0,0)[r]{${#2}$}}
\end{picture}}}

% v coil
\newcommand{\vl}[2]
 {\put(#1){\begin{picture}(22,50)
 \put(0,0){\line(0,1){10}}
 \put(0,40){\line(0,1){10}}
 \multiput(0,15)(0,10){3}{\oval(10,10)[r]}
 \put(-3,25){\makebox(0,0)[r]{${#2}$}}
\end{picture}}}

% v coil reversed
\newcommand{\vlr}[2]
 {\put(#1){\begin{picture}(22,50)
 \put(0,0){\line(0,1){10}}
 \put(0,40){\line(0,1){10}}
 \multiput(0,15)(0,10){3}{\oval(10,10)[l]}
 \put(3,25){\makebox(0,0)[l]{${#2}$}}
\end{picture}}}

% v reactance
\newcommand{\vx}[2]
 {\put(#1){\begin{picture}(28,50)
 \put(-5,10){\framebox(10,30)}
 \thicklines
 \multiput(-5,10)(1,0){11}{\line(0,1){30}}
 \multiput(-5,10)(0,1){31}{\line(1,0){10}}
 \thinlines
 \put(0,0){\line(0,1){10}}
 \put(0,40){\line(0,1){10}}
 \put(-7,25){\makebox(0,0)[r]{$#2$}}
\end{picture}}}

% v resistance
\newcommand{\vr}[2]
 {\put(#1){\begin{picture}(22,50)
 \multiput(0,10)(0,10){3}{\line(2,1){10}}
 \multiput(10,15)(0,10){3}{\line(-2,1){10}}
 \put(0,40){\line(0,1){10}}
 \put(0,0){\line(0,1){10}}
 \put(-3,25){\makebox(0,0)[r]{${#2}$}}
\end{picture}}}

% v engine
\newcommand{\veng}[2]
 {\put(#1){\begin{picture}(32,50)
 \put(0,25){\circle{20}}
 \put(-5,33){\line(0,1){5}}
 \put(5,33){\line(0,1){5}}
 \put(-5,12){\line(0,1){5}}
 \put(5,12){\line(0,1){5}}
 \put(-5,38){\line(1,0){10}}
 \put(-5,12){\line(1,0){10}}
 \put(0,0){\line(0,1){12}}
 \put(0,38){\line(0,1){12}}
 \put(-10,25){\makebox(0,0)[r]{$#2$}}
\end{picture}}}

% h impedance
\newcommand{\hz}[2]
 {\put(#1){\begin{picture}(50,22)
 \put(10,-5){\framebox(30,10)}
 \put(0,0){\line(1,0){10}}
 \put(40,0){\line(1,0){10}}
 \put(25,-12){\makebox(0,0){$#2$}}
\end{picture}}}

% h capasitance
\newcommand{\hc}[2]
 {\put(#1){\begin{picture}(50,32)
 \put(0,0){\line(1,0){23}}
 \put(27,0){\line(1,0){23}}
 \put(23,-10){\line(0,1){20}}
 \put(27,-10){\line(0,1){20}}
 \put(25,-17){\makebox(0,0){${#2}$}}
\end{picture}}}

% h coil
\newcommand{\hl}[2]
 {\put(#1){\begin{picture}(50,22)
 \put(0,0){\line(1,0){10}}
 \put(40,0){\line(1,0){10}}
 \multiput(15,0)(10,0){3}{\oval(10,10)[t]}
 \put(25,-7){\makebox(0,0){${#2}$}}
\end{picture}}}

% h coil upside down
\newcommand{\hld}[2]
 {\put(#1){\begin{picture}(50,22)
 \put(0,0){\line(1,0){10}}
 \put(40,0){\line(1,0){10}}
 \multiput(15,0)(10,0){3}{\oval(10,10)[b]}
 \put(25,7){\makebox(0,0){${#2}$}}
\end{picture}}}

% h reactance
\newcommand{\hx}[2]
 {\put(#1){\begin{picture}(50,22)
 \put(10,-5){\framebox(30,10)}
 \thicklines
 \multiput(10,-5)(0,1){11}{\line(1,0){30}}
 \multiput(10,-5)(1,0){31}{\line(0,1){10}}
 \thinlines
 \put(0,0){\line(1,0){10}}
 \put(40,0){\line(1,0){10}}
 \put(25,-12){\makebox(0,0){${#2}$}}
\end{picture}}}

% h resistance
\newcommand{\hr}[2]
 {\put(#1){\begin{picture}(50,22)
 \multiput(10,0)(10,0){3}{\line(1,2){5}}
 \multiput(15,10)(10,0){3}{\line(1,-2){5}}
 \put(0,0){\line(1,0){10}}
 \put(40,0){\line(1,0){10}}
 \put(25,-7){\makebox(0,0){${#2}$}}
\end{picture}}}

% h resistance (old)
\newcommand{\hrold}[2]
 {\put(#1){\begin{picture}(50,22)
 \multiput(10,7)(12,0){3}{\line(1,0){6}}
 \multiput(16,0)(12,0){2}{\line(1,0){6}}
 \multiput(10,0)(6,0){6}{\line(0,1){7}}
 \put(0,0){\line(1,0){10}}
 \put(40,0){\line(1,0){10}}
 \put(25,-7){\makebox(0,0){${#2}$}}
\end{picture}}}

% v transformer 1 core
\newcommand{\vmlc}[1]
 {\put(#1){\begin{picture}(60,50)
 \put(0,0){\line(0,1){10}}
 \put(0,40){\line(0,1){10}}
 \multiput(0,15)(0,10){3}{\oval(10,10)[r]}
 \put(40,0){\line(0,1){10}}
 \put(40,40){\line(0,1){10}}
 \multiput(40,15)(0,10){3}{\oval(10,10)[l]}
 \put(14,5){\line(0,1){40}}
 \put(20,5){\line(0,1){40}}
 \put(26,5){\line(0,1){40}}
\end{picture}}}

% v transformer 2
\newcommand{\vml}[4]
 {\put(#1){\begin{picture}(60,50)
 \put(0,0){\line(0,1){10}}
 \put(0,40){\line(0,1){10}}
 \multiput(0,15)(0,10){3}{\oval(10,10)[r]}
 \put(50,0){\line(0,1){10}}
 \put(50,40){\line(0,1){10}}
 \multiput(50,15)(0,10){3}{\oval(10,10)[l]}
 \put(10,40){\circle*{3}}
 \put(40,40){\circle*{3}}
 \put(25,40){\vector(-1,0){10}}
 \put(25,40){\vector(1,0){10}}
 \put(25,47){\makebox(0,0){$#4$}}
 \put(25,25){\makebox(0,0){${#2}\hspace{2mm}{#3}$}}
\end{picture}}}

% v transformer 3
\newcommand{\vt}[4]
 {\put(#1){\begin{picture}(60,50)
 \put(5,10){\framebox(10,30)}
 \put(35,10){\framebox(10,30)}
 \thicklines
 \multiput(5,10)(1,0){11}{\line(0,1){30}}
 \multiput(5,10)(0,1){31}{\line(1,0){10}}
 \multiput(35,10)(1,0){11}{\line(0,1){30}}
 \multiput(35,10)(0,1){31}{\line(1,0){10}}
 \thinlines
 \put(10,0){\line(0,1){10}}
 \put(10,40){\line(0,1){10}}
 \put(0,0){\line(1,0){10}}
 \put(0,50){\line(1,0){10}}
 \put(40,0){\line(1,0){10}}
 \put(40,50){\line(1,0){10}}
 \put(40,0){\line(0,1){10}}
 \put(40,40){\line(0,1){10}}
 \put(20,40){\circle*{3}}
 \put(30,40){\circle*{3}}
 \put(22,44){\vector(1,0){8}}
 \put(28,44){\vector(-1,0){8}}
 \put(25,30){\makebox(0,0){\footnotesize $#4$}}
 \put(5,25){\makebox(0,0)[r]{\footnotesize ${#2}$}}
 \put(47,25){\makebox(0,0)[l]{\footnotesize ${#3}$}}
\end{picture}}}

% v transformer 4
\newcommand{\vm}[4]
 {\put(#1){\begin{picture}(60,50)
 \put(-5,10){\framebox(10,30)}
 \put(45,10){\framebox(10,30)}
 \thicklines
 \multiput(-5,10)(1,0){11}{\line(0,1){30}}
 \multiput(-5,10)(0,1){31}{\line(1,0){10}}
 \multiput(45,10)(1,0){11}{\line(0,1){30}}
 \multiput(45,10)(0,1){31}{\line(1,0){10}}
 \thinlines
 \put(0,0){\line(0,1){10}}
 \put(0,40){\line(0,1){10}}
 \put(50,0){\line(0,1){10}}
 \put(50,40){\line(0,1){10}}
 \put(10,40){\circle*{3}}
 \put(40,40){\circle*{3}}
 \put(25,40){\vector(-1,0){10}}
 \put(25,40){\vector(1,0){10}}
 \put(25,47){\makebox(0,0){$#4$}}
 \put(25,25){\makebox(0,0){${#2}\hspace{2mm}{#3}$}}
\end{picture}}}

% v transformer 5
\newcommand{\vlm}[4]
 {\put(#1){\begin{picture}(60,50)
 \put(0,0){\line(0,1){10}}
 \put(0,40){\line(0,1){10}}
 \multiput(0,15)(0,10){3}{\oval(10,10)[r]}
 \put(50,0){\line(0,1){10}}
 \put(50,40){\line(0,1){10}}
 \multiput(50,15)(0,10){3}{\oval(10,10)[l]}
 \put(10,40){\circle*{3}}
 \put(40,10){\circle*{3}}
 \put(14,40){\vector(3,-4){22}}
 \put(14,40){\vector(-3,4){0}}
 \put(25,44){\makebox(0,0){$#4$}}
 \put(25,25){\makebox(0,0){${#2}\hspace{4mm}{#3}$}}
\end{picture}}}

% v transformer 6
\newcommand{\vlmi}[4]
 {\put(#1){\begin{picture}(60,50)
 \put(0,0){\line(0,1){10}}
 \put(0,40){\line(0,1){10}}
 \multiput(0,15)(0,10){3}{\oval(10,10)[r]}
 \put(50,0){\line(0,1){10}}
 \put(50,40){\line(0,1){10}}
 \multiput(50,15)(0,10){3}{\oval(10,10)[l]}
 \put(10,10){\circle*{3}}
 \put(40,40){\circle*{3}}
 \put(14,10){\vector(3,4){22}}
 \put(14,10){\vector(-3,-4){0}}
 \put(25,44){\makebox(0,0){$#4$}}
 \put(25,25){\makebox(0,0){${#2} \hspace{4mm} {#3}$}}
\end{picture}}}

% v lamp
\newcommand{\vlamp}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(0,25){\circle{20}}
 \put(0,0){\line(0,1){15}}
 \put(0,35){\line(0,1){15}}
 \put(-7,32){\line(1,-1){14}}
 \put(-7,18){\line(1,1){14}}
 \put(-12,17){\makebox(0,0)[r]{$#2$}}
\end{picture}}}

% horizontal switch open
\newcommand{\hso}[2]
 {\put(#1){\begin{picture}(50,20)
 \put(0,0){\line(1,0){15}}
 \put(35,0){\line(1,0){15}}
 \put(15,0){\line(2,1){20}}
 \put(15,0){\circle{3}}
 \put(35,0){\circle{3}}
 \put(25,-10){\makebox(0,0){$#2$}}
\end{picture}}}

% horizontal switch nearly closed
\newcommand{\hsc}[2]
 {\put(#1){\begin{picture}(50,20)
 \put(0,0){\line(1,0){15}}
 \put(35,0){\line(1,0){15}}
 \put(15,0){\line(6,1){20}}
 \put(15,0){\circle{3}}
 \put(35,0){\circle{3}}
 \put(25,-10){\makebox(0,0){$#2$}}
\end{picture}}}

% vertical switch open
\newcommand{\vso}[2]
 {\put(#1){\begin{picture}(20,50)
 \put(0,0){\line(0,1){15}}
 \put(0,35){\line(0,1){15}}
 \put(0,15){\line(1,2){10}}
 \put(0,15){\circle*{3}}
 \put(0,35){\circle*{3}}
 \put(-2,25){\makebox(0,0)[r]{$#2$}}
\end{picture}}}

% v avo meter
\newcommand{\vavo}[3]
 {\put(#1){\begin{picture}(50,50)
 \put(0,25){\circle{20}}
 \put(0,25){\makebox(0,0){$#2$}}
 \put(0,0){\line(0,1){15}}
 \put(0,35){\line(0,1){15}}
 \put(-9,15){\makebox(0,0)[r]{$#3$}}
\end{picture}}}

% h avo meter
\newcommand{\havo}[3]
 {\put(#1){\begin{picture}(50,50)
 \put(25,0){\circle{20}}
 \put(25,0){\makebox(0,0){$#2$}}
 \put(0,0){\line(1,0){15}}
 \put(35,0){\line(1,0){15}}
 \put(25,-17){\makebox(0,0){$#3$}}
\end{picture}}}

% v power meter
\newcommand{\vpm}[3]
 {\put(#1){\begin{picture}(50,65)
 \put(0,0){\circle{20}}
 \put(-3,12){\circle*{3}}
 \put(-13,3){\circle*{3}}
 \put(0,0){\makebox(0,0){$#2$}}
 \put(-10,-15){\makebox(0,0)[r]{$#3$}}
\end{picture}}}

% up voltage arrow
\newcommand{\uu}[2]
 {\put(#1){\begin{picture}(12,50)
 \put(-3,25){\makebox(0,0)[r]{${#2}$}}
% \thicklines
 \put(0,5){\vector(0,1){40}}
\end{picture}}}

% down voltage arrow
\newcommand{\du}[2]
 {\put(#1){\begin{picture}(12,50)
 \put(3,25){\makebox(0,0)[l]{$#2$}}
% \thicklines
 \put(0,45){\vector(0,-1){40}}
\end{picture}}}

% right voltage arrow
\newcommand{\ru}[2]
 {\put(#1){\begin{picture}(50,12)
 \put(25,8){\makebox(0,0){${#2}$}}
% \thicklines
 \put(5,0){\vector(1,0){40}}
\end{picture}}}

% left voltage arrow
\newcommand{\lu}[2]
 {\put(#1){\begin{picture}(50,12)
 \put(25,8){\makebox(0,0){${#2}$}}
% \thicklines
 \put(45,0){\vector(-1,0){40}}
\end{picture}}}

% down right-curved arrow
\newcommand{\dcru}[2]
 {\put(#1){\begin{picture}(32,50)
 \put(0,25){\oval(20,40)[r]}
 \put(15,25){\makebox(0,0)[l]{$#2$}}
% \thicklines
 \put(0,5){\vector(-4,-1){0}}
\end{picture}}}

% up right-curved arrow
\newcommand{\ucru}[2]
 {\put(#1){\begin{picture}(32,50)
 \put(0,25){\oval(20,40)[r]}
 \put(15,25){\makebox(0,0)[l]{${#2}$}}
% \thicklines
 \put(0,45){\vector(-4,1){0}}
\end{picture}}}

% right up-curved arrow
\newcommand{\rcuu}[2]
 {\put(#1){\begin{picture}(50,32)
 \put(25,0){\oval(40,20)[t]}
 \put(25,20){\makebox(0,0){${#2}$}}
% \thicklines
 \put(45,0){\vector(1,-4){0}}
\end{picture}}}

% left up-curved arrow
\newcommand{\lcuu}[2]
 {\put(#1){\begin{picture}(50,32)
 \put(25,0){\oval(40,20)[t]}
 \put(25,20){\makebox(0,0){${#2}$}}
% \thicklines
 \put(5,0){\vector(-1,-4){0}}
\end{picture}}}

% right current arrow
\newcommand{\ri}[2]
 {\put(#1){\begin{picture}(10,50)
 \put(0,-7){\makebox(0,0){${#2}$}}
 \thicklines
 \put(0,0){\vector(1,0){0}}
\end{picture}}}

% left current arrow
\newcommand{\li}[2]
 {\put(#1){\begin{picture}(10,50)
 \put(3,-7){\makebox(0,0)[r]{${#2}$}}
 \thicklines
 \put(0,0){\vector(-1,0){0}}
\end{picture}}}

% up current arrow
\newcommand{\ui}[2]
 {\put(#1){\begin{picture}(50,20)
 \put(5,0){\makebox(0,0)[l]{$#2$}}
 \thicklines
 \put(0,0){\vector(0,1){0}}
\end{picture}}}

% down current arrow
\newcommand{\di}[2]
 {\put(#1){\begin{picture}(50,20)
 \put(5,0){\makebox(0,0)[l]{$#2$}}
 \thicklines
 \put(0,0){\vector(0,-1){0}}
\end{picture}}}

% right current arrow (text above)
\newcommand{\rui}[2]
 {\put(#1){\begin{picture}(10,50)
 \put(0,7){\makebox(0,0){${#2}$}}
 \thicklines
 \put(0,0){\vector(1,0){0}}
\end{picture}}}

% h crossing jumper
\newcommand{\hcj}[1]
 {\put(#1){\begin{picture}(10,50)
 \put(0,0){\oval(10,10)[t]}
\end{picture}}}

% v crossing jumper
\newcommand{\vcj}[1]
 {\put(#1){\begin{picture}(10,50)
 \put(0,0){\oval(10,10)[r]}
\end{picture}}}

% h ground
\newcommand{\hg}[1]
 {\put(#1){\begin{picture}(50,10)
 \put(-10,0){\line(1,0){20}}
\end{picture}}}

% v ground
\newcommand{\vg}[1]
 {\put(#1){\begin{picture}(50,10)
 \put(0,-10){\line(0,1){20}}
\end{picture}}}

% h ground pin
\newcommand{\hgp}[1]
 {\put(#1){\begin{picture}(20,10)
 \put(-10,-10){\line(1,0){20}}
 \put(0,0){\line(0,-1){10}}
\end{picture}}}

% h ground pin upwards
\newcommand{\hgpu}[1]
 {\put(#1){\begin{picture}(20,10)
 \put(-10,10){\line(1,0){20}}
 \put(0,0){\line(0,1){10}}
\end{picture}}}

% h port
\newcommand{\hp}[3]
 {\put(#1){\begin{picture}(10,50)
 \put(0,0){\circle{3}}
 \put(0,50){\circle{3}}
 \put(0,10){\makebox(0,0){$#3$}}
 \put(0,40){\makebox(0,0){$#2$}}
\end{picture}}}

% v port
\newcommand{\vp}[3]
 {\put(#1){\begin{picture}(50,10)
 \put(0,0){\circle{3}}
 \put(50,0){\circle{3}}
 \put(40,0){\makebox(0,0){$#3$}}
 \put(10,0){\makebox(0,0){$#2$}}
\end{picture}}}

% mathematical text
\newcommand{\txt}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(0,0){\makebox(0,0){$#2$}}
\end{picture}}}

% text non math
\newcommand{\tx}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(0,0){\makebox(0,0){#2}}
\end{picture}}}

% small text
\newcommand{\stx}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(0,0){\makebox(0,0){\scriptsize #2}}
\end{picture}}}

% text non math left-aligned
\newcommand{\txl}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(0,0){\makebox(0,0)[l]{#2}}
\end{picture}}}

% output/input pin
\newcommand{\out}[1]
 {\put(#1){\begin{picture}(10,10)
 \put(0,0){\circle{3}}
\end{picture}}}

% connection node
\newcommand{\cn}[1]
 {\put(#1){\begin{picture}(10,50)
 \put(0,0){\circle*{3}}
\end{picture}}}

% big connection node
\newcommand{\cnb}[1]
 {\put(#1){\begin{picture}(10,50)
 \put(0,0){\circle*{5}}
\end{picture}}}

% down wave arrow
\newcommand{\dw}[2]
 {\put(#1){\begin{picture}(12,50)
 \put(0,50){\vector(0,-1){29}}
 \put(0,0){\line(0,1){25}}
 \put(-12,25){\makebox(0,0){${#2}$}}
\end{picture}}}

% up wave arrow
\newcommand{\uw}[2]
 {\put(#1){\begin{picture}(12,50)
 \put(0,0){\vector(0,1){29}}
 \put(0,25){\line(0,1){25}}
 \put(12,25){\makebox(0,0){${#2}$}}
\end{picture}}}

% left wave arrow
\newcommand{\lw}[2]
 {\put(#1){\begin{picture}(50,12)
 \put(50,0){\vector(-1,0){29}}
 \put(0,0){\line(1,0){25}}
 \put(25,-12){\makebox(0,0){${#2}$}}
\end{picture}}}

% right wave arrow
\newcommand{\rw}[2]
 {\put(#1){\begin{picture}(50,12)
 \put(0,0){\vector(1,0){29}}
 \put(25,0){\line(1,0){25}}
 \put(25,12){\makebox(0,0){${#2}$}}
\end{picture}}}

% h z arrow
\newcommand{\hza}[2]
 {\put(#1){\begin{picture}(50,20)
 \put(-20,25){\vector(1,0){20}}
 \put(-20,25){\line(0,-1){10}}
 \put(-20,8){\makebox(0,0){$#2$}}
\end{picture}}}

% h y arrow
\newcommand{\hya}[2]
 {\put(#1){\begin{picture}(50,20)
 \put(20,25){\vector(-1,0){20}}
 \put(20,25){\line(0,-1){10}}
 \put(20,8){\makebox(0,0){$#2$}}
\end{picture}}}

% v diode up
\newcommand{\ud}[2]
 {\put(#1){\begin{picture}(32,50)
 \put(-10,20){\line(1,0){20}}
 \put(-10,30){\line(1,0){20}}
 \put(-10,20){\line(1,1){10}}
 \put(10,20){\line(-1,1){10}}
 \put(0,0){\line(0,1){50}}
 \put(-20,25){\makebox(0,0)[r]{$#2$}}
\end{picture}}}

% v diode down
\newcommand{\dd}[2]
 {\put(#1){\begin{picture}(32,50)
 \put(-10,20){\line(1,0){20}}
 \put(-10,30){\line(1,0){20}}
 \put(-10,30){\line(1,-1){10}}
 \put(10,30){\line(-1,-1){10}}
 \put(0,0){\line(0,1){50}}
 \put(-20,25){\makebox(0,0)[r]{$#2$}}
\end{picture}}}

% h diode right
\newcommand{\rd}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(0,0){\line(1,0){50}}
 \put(20,-10){\line(1,1){10}}
 \put(20,10){\line(1,-1){10}}
 \put(20,-10){\line(0,1){20}}
 \put(30,-10){\line(0,1){20}}
 \put(25,-20){\makebox(0,0)[c]{$#2$}}
\end{picture}}}

% h diode left
\newcommand{\ld}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(0,0){\line(1,0){50}}
 \put(20,0){\line(1,1){10}}
 \put(20,0){\line(1,-1){10}}
 \put(20,-10){\line(0,1){20}}
 \put(30,-10){\line(0,1){20}}
 \put(25,-20){\makebox(0,0)[c]{$#2$}}
\end{picture}}}

% h diode right (black)
\newcommand{\rdb}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(0,0){\line(1,0){50}}
 \put(20,-10){\line(1,1){10}}
 \put(20,10){\line(1,-1){10}}
 \put(20,-10){\line(0,1){20}}
 \put(30,-10){\line(0,1){20}}
 \thicklines
 \put(20,9){\line(1,0){1}}
 \put(20,8){\line(1,0){2}}
 \put(20,7){\line(1,0){3}}
 \put(20,6){\line(1,0){4}}
 \put(20,5){\line(1,0){5}}
 \put(20,4){\line(1,0){6}}
 \put(20,3){\line(1,0){7}}
 \put(20,2){\line(1,0){8}}
 \put(20,1){\line(1,0){9}}
 \put(20,0){\line(1,0){9.5}}
 \put(20,-1){\line(1,0){9}}
 \put(20,-2){\line(1,0){8}}
 \put(20,-3){\line(1,0){7}}
 \put(20,-4){\line(1,0){6}}
 \put(20,-5){\line(1,0){5}}
 \put(20,-6){\line(1,0){4}}
 \put(20,-7){\line(1,0){3}}
 \put(20,-8){\line(1,0){2}}
 \put(20,-9){\line(1,0){1}}
 \thinlines
 \put(25,-20){\makebox(0,0)[c]{$#2$}}
\end{picture}}}

% h diode right (empty)
\newcommand{\rde}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(0,0){\line(1,0){20}}
 \put(30,0){\line(1,0){20}}
 \put(20,-10){\line(1,1){10}}
 \put(20,10){\line(1,-1){10}}
 \put(20,-10){\line(0,1){20}}
 \put(30,-10){\line(0,1){20}}
 \put(25,-20){\makebox(0,0)[c]{$#2$}}
\end{picture}}}

% h varactor diode right
\newcommand{\vrd}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(0,0){\line(1,0){30}}
 \put(20,-10){\line(1,1){10}}
 \put(20,10){\line(1,-1){10}}
 \put(20,-10){\line(0,1){20}}
 \put(30,-10){\line(0,1){20}}
 \put(33,-10){\line(0,1){20}}
 \put(33,0){\line(1,0){17}}
 \put(25,-20){\makebox(0,0)[c]{$#2$}}
\end{picture}}}

% v zener diode up
\newcommand{\zud}[2]
 {\put(#1){\begin{picture}(32,50)
 \put(-10,20){\line(1,0){20}}
 \put(-10,30){\line(1,0){20}}
 \put(-10,20){\line(1,1){10}}
 \put(10,20){\line(-1,1){10}}
 \put(10,30){\line(0,-1){4}}
 \put(0,0){\line(0,1){50}}
 \put(-20,25){\makebox(0,0)[r]{$#2$}}
\end{picture}}}

% v zener diode down
\newcommand{\zdd}[2]
 {\put(#1){\begin{picture}(32,50)
 \put(-10,20){\line(1,0){20}}
 \put(-10,30){\line(1,0){20}}
 \put(0,20){\line(1,1){10}}
 \put(0,20){\line(-1,1){10}}
 \put(10,20){\line(0,1){4}}
 \put(0,0){\line(0,1){50}}
 \put(-20,25){\makebox(0,0)[r]{$#2$}}
\end{picture}}}

% h Schottky diode right
\newcommand{\srd}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(0,0){\line(1,0){50}}
 \put(20,-10){\line(1,1){10}}
 \put(20,10){\line(1,-1){10}}
 \put(20,-10){\line(0,1){20}}
 \put(30,-10){\line(0,1){20}}
 \put(27,-10){\line(1,0){3}}
 \put(27,-10){\line(0,1){3}}
 \put(30,10){\line(1,0){3}}
 \put(33,7){\line(0,1){3}}
 \put(25,-20){\makebox(0,0)[c]{$#2$}}
\end{picture}}}

% h Schottky diode left
\newcommand{\sld}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(0,0){\line(1,0){50}}
 \put(30,-10){\line(-1,1){10}}
 \put(30,10){\line(-1,-1){10}}
 \put(30,-10){\line(0,1){20}}
 \put(20,-10){\line(0,1){20}}
 \put(17,-10){\line(1,0){3}}
 \put(17,-10){\line(0,1){3}}
 \put(20,10){\line(1,0){3}}
 \put(23,7){\line(0,1){3}}
 \put(25,-20){\makebox(0,0)[c]{$#2$}}
\end{picture}}}

% h Schottky npn transistor
\newcommand{\snpn}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(30,-13){\line(0,1){26}}
 \put(30,0){\line(-1,0){30}}
 \put(30,5){\line(1,1){20}}
 \put(30,-5){\vector(1,-1){8}}
 \put(30,-5){\line(1,-1){20}}
 \put(35,-22){\makebox(0,0){$#2$}}
 \put(27,-15){\line(1,0){3}}
 \put(27,-15){\line(0,1){3}}
 \put(30,15){\line(1,0){3}}
 \put(33,12){\line(0,1){3}}
 \put(30,-15){\line(0,1){30}}
\end{picture}}}

% h npn transistor CB
\newcommand{\npnb}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(0,30){\circle{30}}
 \put(-10,30){\line(1,0){20}}
 \put(0,30){\line(0,-1){30}}
 \put(-25,50){\line(1,-1){20}}
 \put(-5,30){\vector(-1,1){8}}
 \put(5,30){\line(1,1){20}}
 \put(0,52){\makebox(0,0){$#2$}}
\end{picture}}}

% h pnp transistor CB
\newcommand{\pnpb}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(0,30){\circle{30}}
 \put(-10,30){\line(1,0){20}}
 \put(0,30){\line(0,-1){30}}
 \put(-25,50){\line(1,-1){20}}
 \put(-14,39){\vector(1,-1){9}}
 \put(5,30){\line(1,1){20}}
 \put(0,52){\makebox(0,0){$#2$}}
\end{picture}}}

% h npn transistor
\newcommand{\npn}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(30,0){\circle{30}}
 \put(30,-10){\line(0,1){20}}
 \put(30,0){\line(-1,0){30}}
 \put(30,5){\line(1,1){20}}
 \put(30,-5){\vector(1,-1){8}}
 \put(30,-5){\line(1,-1){20}}
 \put(30,-22){\makebox(0,0){$#2$}}
\end{picture}}}

% h pnp transistor
\newcommand{\pnp}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(30,0){\circle{30}}
 \put(30,-10){\line(0,1){20}}
 \put(30,0){\line(-1,0){30}}
 \put(30,5){\line(1,1){20}}
 \put(50,-25){\vector(-1,1){20}}
 \put(30,-22){\makebox(0,0){$#2$}}
\end{picture}}}

% h npn transistor CC
\newcommand{\npnc}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(30,0){\circle{30}}
 \put(30,-10){\line(0,1){20}}
 \put(30,0){\line(-1,0){30}}
 \put(30,-5){\line(1,-1){20}}
 \put(30,5){\vector(1,1){8}}
 \put(30,5){\line(1,1){20}}
 \put(30,-22){\makebox(0,0){$#2$}}
\end{picture}}}

% h pnp transistor CC
\newcommand{\pnpc}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(30,0){\circle{30}}
 \put(30,-10){\line(0,1){20}}
 \put(30,0){\line(-1,0){30}}
 \put(30,-5){\line(1,-1){20}}
 \put(35,10){\vector(-1,-1){5}}
 \put(30,5){\line(1,1){20}}
 \put(30,-22){\makebox(0,0){$#2$}}
\end{picture}}}

% h npn transistor CC
\newcommand{\pnpcr}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(-30,0){\circle{30}}
 \put(-30,-10){\line(0,1){20}}
 \put(-30,0){\line(1,0){30}}
 \put(-30,-5){\line(-1,-1){20}}
 \put(-35,10){\vector(1,-1){5}}
 \put(-30,5){\line(-1,1){20}}
 \put(-30,-22){\makebox(0,0){$#2$}}
\end{picture}}}

% h npn transistor reversed
\newcommand{\npr}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(-30,0){\circle{30}}
 \put(-30,-10){\line(0,1){20}}
 \put(-30,0){\line(1,0){30}}
 \put(-30,5){\line(-1,1){20}}
 \put(-30,-5){\vector(-1,-1){8}}
 \put(-30,-5){\line(-1,-1){20}}
 \put(-30,-22){\makebox(0,0){$#2$}}
\end{picture}}}

% h pnp transistor reversed
\newcommand{\pnr}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(-30,0){\circle{30}}
 \put(-30,-10){\line(0,1){20}}
 \put(-30,0){\line(1,0){30}}
 \put(-30,5){\line(-1,1){20}}
 \put(-35,-10){\vector(1,1){5}}
 \put(-30,-5){\line(-1,-1){20}}
 \put(-30,-22){\makebox(0,0){$#2$}}
\end{picture}}}

% h npn transistor (no circle)
\newcommand{\npnnc}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(30,-13){\line(0,1){26}}
 \put(30,0){\line(-1,0){30}}
 \put(30,5){\line(1,1){20}}
 \put(30,-5){\vector(1,-1){8}}
 \put(30,-5){\line(1,-1){20}}
 \put(30,-22){\makebox(0,0){$#2$}}
\end{picture}}}

% h npn transistor w/o circle
\newcommand{\npnwoc}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(30,-10){\line(0,1){20}}
 \put(30,0){\line(-1,0){30}}
 \put(30,5){\line(2,1){20}}
 \put(30,-5){\vector(2,-1){8}}
 \put(30,-5){\line(2,-1){20}}
 \put(50,15){\line(0,1){10}}
 \put(50,-25){\line(0,1){10}}
 \put(30,-22){\makebox(0,0){$#2$}}
\end{picture}}}

% h pnp transistor w/o circle
\newcommand{\pnpwoc}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(30,-10){\line(0,1){20}}
 \put(30,0){\line(-1,0){30}}
 \put(30,5){\line(2,1){20}}
 \put(40,-10){\vector(-2,1){10}}
 \put(30,-5){\line(2,-1){20}}
 \put(50,15){\line(0,1){10}}
 \put(50,-25){\line(0,1){10}}
 \put(30,-22){\makebox(0,0){$#2$}}
\end{picture}}}

% h npn transistor w/o circle upside down
\newcommand{\npnwocu}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(30,-10){\line(0,1){20}}
 \put(30,0){\line(-1,0){30}}
 \put(30,5){\line(2,1){20}}
 \put(40,10){\vector(-2,-1){8}}
 \put(30,-5){\line(2,-1){20}}
 \put(50,15){\line(0,1){10}}
 \put(50,-25){\line(0,1){10}}
 \put(30,-22){\makebox(0,0){$#2$}}
\end{picture}}}

% h npn transistor w/o circle reversed
\newcommand{\nprwoc}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(-30,-10){\line(0,1){20}}
 \put(-30,0){\line(1,0){30}}
 \put(-30,5){\line(-2,1){20}}
 \put(-30,-5){\vector(-2,-1){8}}
 \put(-30,-5){\line(-2,-1){20}}
 \put(-50,15){\line(0,1){10}}
 \put(-50,-25){\line(0,1){10}}
 \put(-30,-22){\makebox(0,0){$#2$}}
\end{picture}}}

% h npn transistor w/o circle reversed upside down
\newcommand{\nprwocu}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(-30,-10){\line(0,1){20}}
 \put(-30,0){\line(1,0){30}}
 \put(-30,5){\line(-2,1){20}}
 \put(-40,10){\vector(2,-1){8}}
 \put(-30,-5){\line(-2,-1){20}}
 \put(-50,15){\line(0,1){10}}
 \put(-50,-25){\line(0,1){10}}
 \put(-30,-22){\makebox(0,0){$#2$}}
\end{picture}}}

% h enmos, no arrow
\newcommand{\enmosna}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(30,-10){\line(0,1){20}}
 \put(27,-5){\line(0,1){10}}
 \put(50,7.5){\line(0,1){17.5}}
 \put(50,-7.5){\line(0,-1){17.5}}
 \put(0,0){\line(1,0){27}}
 \put(30,7.5){\line(1,0){20}}
 \put(30,-7.5){\line(1,0){20}}
 \put(25,-22){\makebox(0,0){${#2}$}}
\end{picture}}}

% h enmos
\newcommand{\enmos}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(30,-10){\line(0,1){20}}
 \put(27,-5){\line(0,1){10}}
 \put(50,7.5){\line(0,1){17.5}}
 \put(50,-7.5){\line(0,-1){17.5}}
 \put(0,0){\line(1,0){27}}
 \put(30,7.5){\line(1,0){20}}
 \put(30,-7.5){\vector(1,0){20}}
 \put(25,-27){\makebox(0,10){${#2}$}}
\end{picture}}}

% h epmos
\newcommand{\epmos}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(30,-10){\line(0,1){20}}
 \put(27,-5){\line(0,1){10}}
 \put(50,7.5){\line(0,1){17.5}}
 \put(50,-7.5){\line(0,-1){17.5}}
 \put(0,0){\line(1,0){27}}
 \put(30,7.5){\line(1,0){20}}
 \put(50,-7.5){\vector(-1,0){20}}
 \put(25,-22){\makebox(0,0){${#2}$}}
\end{picture}}}

% h dnmos
\newcommand{\dnmos}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(30,-10){\line(0,1){20}}
 \put(27,-5){\line(0,1){10}}
 \put(50,7.5){\line(0,1){17.5}}
 \put(50,-7.5){\line(0,-1){17.5}}
 \put(0,0){\line(1,0){27}}
 \put(30,7.5){\line(1,0){20}}
 \put(30,-7.5){\vector(1,0){20}}
 \put(25,-22){\makebox(0,0){${#2}$}}
\thicklines
 \put(31,-7.5){\line(0,1){15}}
 \put(31.5,-7.5){\line(0,1){15}}
\thinlines
\end{picture}}}

% h dpmos
\newcommand{\dpmos}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(30,-10){\line(0,1){20}}
 \put(27,-5){\line(0,1){10}}
 \put(50,7.5){\line(0,1){17.5}}
 \put(50,-7.5){\line(0,-1){17.5}}
 \put(0,0){\line(1,0){27}}
 \put(30,7.5){\line(1,0){20}}
 \put(50,-7.5){\vector(-1,0){18}}
 \put(25,-22){\makebox(0,0){${#2}$}}
\thicklines
 \put(31,-7.5){\line(0,1){15}}
 \put(32,-7.5){\line(0,1){15}}
\thinlines
\end{picture}}}

% h njfet
\newcommand{\njfet}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(30,-5){\line(0,1){20}}
 \put(50,12.5){\line(0,1){12.5}}
 \put(50,-2.5){\line(0,-1){22.5}}
 \put(0,0){\vector(1,0){30}}
 \put(30,12.5){\line(1,0){20}}
 \put(30,-2.5){\line(1,0){20}}
 \put(25,-22){\makebox(0,0){${#2}$}}
\end{picture}}}

% h pjfet
\newcommand{\pjfet}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(30,-5){\line(0,1){20}}
 \put(50,12.5){\line(0,1){12.5}}
 \put(50,-2.5){\line(0,-1){22.5}}
 \put(30,0){\vector(-1,0){15}}
 \put(0,0){\line(1,0){15}}
 \put(30,12.5){\line(1,0){20}}
 \put(30,-2.5){\line(1,0){20}}
 \put(25,-22){\makebox(0,0){${#2}$}}
\end{picture}}}

% h enmos reversed, no arrow
\newcommand{\enmosrna}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(-30,-10){\line(0,1){20}}
 \put(-27,-5){\line(0,1){10}}
 \put(-50,7.5){\line(0,1){17.5}}
 \put(-50,-7.5){\line(0,-1){17.5}}
 \put(0,0){\line(-1,0){27}}
 \put(-30,7.5){\line(-1,0){20}}
 \put(-30,-7.5){\line(-1,0){20}}
 \put(-25,-22){\makebox(0,0){${#2}$}}
\end{picture}}}

% h enmos reversed
\newcommand{\enmosr}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(-30,-10){\line(0,1){20}}
 \put(-27,-5){\line(0,1){10}}
 \put(-50,7.5){\line(0,1){17.5}}
 \put(-50,-7.5){\line(0,-1){17.5}}
 \put(0,0){\line(-1,0){27}}
 \put(-30,7.5){\line(-1,0){20}}
 \put(-30,-7.5){\vector(-1,0){20}}
 \put(-25,-22){\makebox(0,0){${#2}$}}
\end{picture}}}

% h enh. pmos reversed
\newcommand{\epmosr}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(0,0){\line(-1,0){27}}
 \put(-27,-5){\line(0,1){10}}
 \put(-30,-10){\line(0,1){20}}
 \put(-50,7.5){\vector(1,0){20}}
 \put(-30,-7.5){\line(-1,0){20}}
 \put(-50,-25){\line(0,1){17.5}}
 \put(-50,7.5){\line(0,1){17.5}}
 \put(-25,-20){\makebox(0,0){$#2$}}
\end{picture}}}

% h enh. pmosfet d down
\newcommand{\epmosdd}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(0,0){\line(1,0){23}}
 \put(23,-5){\line(0,1){10}}
 \put(27,-10){\line(0,1){20}}
 \put(50,8){\vector(-1,0){23}}
 \put(27,-8){\line(1,0){23}}
% \put(50,-25){\line(1,0){0}}
% \put(50,25){\line(1,0){0}}
 \put(50,-25){\line(0,1){17}}
 \put(50,8){\line(0,1){17}}
 \put(25,-20){\makebox(0,0){$#2$}}
\end{picture}}}

% h fet (generic)
\newcommand{\fet}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(30,0){\circle{30}}
 \put(30,-10){\line(0,1){20}}
 \put(50,7.5){\line(0,1){17.5}}
% \put(0,0){\line(0,1){25}}
 \put(50,-7.5){\line(0,-1){17.5}}
 \put(30,0){\line(-1,0){30}}
 \put(30,7.5){\line(1,0){20}}
 \put(30,-7.5){\line(1,0){20}}
 \put(35,-22){\makebox(0,0){${#2}$}}
% \put(0,25){\line(-1,0){10}}
% \put(50,25){\line(1,0){10}}
\end{picture}}}

% h benmos
\newcommand{\benmos}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(30,-5){\line(0,1){5}}
 \put(30,2.5){\line(0,1){5}}
 \put(30,10){\line(0,1){5}}
 \put(27,0){\line(0,1){10}}
 \put(50,12.5){\line(0,1){12.5}}
 \put(50,-2.5){\line(0,-1){22.5}}
 \put(0,0){\line(1,0){27}}
 \put(30,12.5){\line(1,0){20}}
 \put(30,-2.5){\line(1,0){20}}
 \put(50,5){\vector(-1,0){20}}
 \put(25,-22){\makebox(0,0){${#2}$}}
\end{picture}}}

% h bdnmos
\newcommand{\bdnmos}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(30,-5){\line(0,1){20}}
 \put(27,0){\line(0,1){10}}
 \put(50,12.5){\line(0,1){12.5}}
 \put(50,-2.5){\line(0,-1){22.5}}
 \put(0,0){\line(1,0){27}}
 \put(30,12.5){\line(1,0){20}}
 \put(30,-2.5){\line(1,0){20}}
 \put(50,5){\vector(-1,0){20}}
 \put(25,-22){\makebox(0,0){${#2}$}}
\end{picture}}}

% h bepmos
\newcommand{\bepmos}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(30,-5){\line(0,1){5}}
 \put(30,2.5){\line(0,1){5}}
 \put(30,10){\line(0,1){5}}
 \put(27,0){\line(0,1){10}}
 \put(50,12.5){\line(0,1){12.5}}
 \put(50,-2.5){\line(0,-1){22.5}}
 \put(0,0){\line(1,0){27}}
 \put(30,12.5){\line(1,0){20}}
 \put(30,-2.5){\line(1,0){20}}
 \put(30,5){\vector(1,0){20}}
 \put(25,-22){\makebox(0,0){${#2}$}}
\end{picture}}}

% h bdpmos
\newcommand{\bdpmos}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(30,-5){\line(0,1){20}}
 \put(27,0){\line(0,1){10}}
 \put(50,12.5){\line(0,1){12.5}}
 \put(50,-2.5){\line(0,-1){22.5}}
 \put(0,0){\line(1,0){27}}
 \put(30,12.5){\line(1,0){20}}
 \put(30,-2.5){\line(1,0){20}}
 \put(30,5){\vector(1,0){20}}
 \put(25,-22){\makebox(0,0){${#2}$}}
\end{picture}}}

% h njfet Millman
\newcommand{\njfetm}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(30,-10){\line(0,1){20}}
 \put(50,7.5){\line(0,1){17.5}}
 \put(50,-7.5){\line(0,-1){17.5}}
 \put(0,0){\vector(1,0){30}}
 \put(30,7.5){\line(1,0){20}}
 \put(30,-7.5){\line(1,0){20}}
 \put(25,-22){\makebox(0,0){${#2}$}}
\end{picture}}}

% h njfet Rizzoni
\newcommand{\njfetr}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(30,-10){\line(0,1){20}}
 \put(27,-5){\line(0,1){10}}
 \put(50,7.5){\line(0,1){17.5}}
 \put(50,-7.5){\line(0,-1){17.5}}
 \put(0,0){\vector(1,0){27}}
 \put(30,7.5){\line(1,0){20}}
 \put(30,-7.5){\line(1,0){20}}
 \put(25,-22){\makebox(0,0){${#2}$}}
\end{picture}}}

% h opa + up
\newcommand{\hoa}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(0,0){\line(0,1){15}}
 \put(0,35){\line(0,1){15}}
 \put(0,15){\line(1,0){10}}
 \put(0,35){\line(1,0){10}}
 \put(40,25){\line(1,0){10}}
 \put(10,7){\line(0,1){36}}
 \put(10,7){\line(5,3){30}}
 \put(10,43){\line(5,-3){30}}
 \put(15,33){\makebox(0,0){$+$}}
 \put(15,17){\makebox(0,0){$-$}}
 \put(25,25){\makebox(0,0){${#2}$}}
\end{picture}}}

% h opa - up
\newcommand{\ho}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(0,0){\line(0,1){15}}
 \put(0,35){\line(0,1){15}}
 \put(0,15){\line(1,0){10}}
 \put(0,35){\line(1,0){10}}
 \put(40,25){\line(1,0){10}}
 \put(10,7){\line(0,1){36}}
 \put(10,7){\line(5,3){30}}
 \put(10,43){\line(5,-3){30}}
 \put(15,33){\makebox(0,0){$-$}}
 \put(15,17){\makebox(0,0){$+$}}
 \put(25,25){\makebox(0,0){$#2$}}
\end{picture}}}

% h opa high (+ up)
\newcommand{\hop}[2]
 {\put(#1){\begin{picture}(50,100)
 \put(0,0){\line(0,1){40}}
 \put(0,60){\line(0,1){40}}
 \put(0,40){\line(1,0){10}}
 \put(0,60){\line(1,0){10}}
 \put(40,50){\line(1,0){10}}
 \put(10,32){\line(0,1){36}}
 \put(10,32){\line(5,3){30}}
 \put(10,68){\line(5,-3){30}}
 \put(15,58){\makebox(0,0){$+$}}
 \put(15,42){\makebox(0,0){$-$}}
 \put(25,50){\makebox(0,0){${#2}$}}
\end{picture}}}

% h opa high (- up)
\newcommand{\hopi}[2]
 {\put(#1){\begin{picture}(50,100)
 \put(0,0){\line(0,1){40}}
 \put(0,60){\line(0,1){40}}
 \put(0,40){\line(1,0){10}}
 \put(0,60){\line(1,0){10}}
 \put(40,50){\line(1,0){10}}
 \put(10,32){\line(0,1){36}}
 \put(10,32){\line(5,3){30}}
 \put(10,68){\line(5,-3){30}}
 \put(15,58){\makebox(0,0){$-$}}
 \put(15,42){\makebox(0,0){$+$}}
 \put(25,50){\makebox(0,0){${#2}$}}
\end{picture}}}

% h opa reversed - up
\newcommand{\hoar}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(0,0){\line(0,1){15}}
 \put(0,35){\line(0,1){15}}
 \put(0,15){\line(-1,0){10}}
 \put(0,35){\line(-1,0){10}}
 \put(-40,25){\line(-1,0){10}}
 \put(-10,7){\line(0,1){36}}
 \put(-10,7){\line(-5,3){30}}
 \put(-10,43){\line(-5,-3){30}}
 \put(-15,33){\makebox(0,0){$-$}}
 \put(-15,17){\makebox(0,0){$+$}}
 \put(-25,25){\makebox(0,0){${#2}$}}
\end{picture}}}

% h opa output down
\newcommand{\hod}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(0,0){\line(1,0){15}}
 \put(35,0){\line(1,0){15}}
 \put(35,-10){\line(0,1){10}}
 \put(15,-10){\line(0,1){10}}
 \put(25,-50){\line(0,1){10}}
 \put(7,-10){\line(1,0){36}}
 \put(7,-10){\line(3,-5){18}}
 \put(43,-10){\line(-3,-5){18}}
 \put(15,-15){\makebox(0,0){$+$}}
 \put(35,-15){\makebox(0,0){$-$}}
 \put(25,-22){\makebox(0,0){$#2$}}
\end{picture}}}

% h opa output up
\newcommand{\hou}[2]
 {\put(#1){\begin{picture}(50,50)
 \put(0,0){\line(1,0){15}}
 \put(35,0){\line(1,0){15}}
 \put(35,0){\line(0,1){10}}
 \put(15,0){\line(0,1){10}}
 \put(25,40){\line(0,1){10}}
 \put(7,10){\line(1,0){36}}
 \put(7,10){\line(3,5){18}}
 \put(43,10){\line(-3,5){18}}
 \put(15,15){\makebox(0,0){$-$}}
 \put(35,15){\makebox(0,0){$+$}}
 \put(25,23){\makebox(0,0){$#2$}}
\end{picture}}}

% h AND-port
\newcommand{\hand}[1]
 {\put(#1){\begin{picture}(50,50)
 \put(0,-5){\framebox(20,35){$\&$}}
 \put(20,12.5){\line(1,0){10}}
\end{picture}}}

% h NAND-port
\newcommand{\hnand}[1]
 {\put(#1){\begin{picture}(50,50)
 \put(22.5,12.5){\circle{5}}
 \put(0,-5){\framebox(20,35){$\&$}}
 \put(25,12.5){\line(1,0){5}}
\end{picture}}}

% h OR-port
\newcommand{\hor}[1]
 {\put(#1){\begin{picture}(50,50)
 \put(20,12.5){\line(1,0){10}}
 \put(0,-5){\framebox(20,35){$\geq 1$}}
 \put(20,12.5){\line(1,0){10}}
\end{picture}}}

% h NOR-port
\newcommand{\hnor}[1]
 {\put(#1){\begin{picture}(50,50)
 \put(22.5,12.5){\circle{5}}
 \put(25,12.5){\line(1,0){5}}
 \put(0,-5){\framebox(20,35){$\geq 1$}}
\end{picture}}}

% h XOR-port
\newcommand{\hxor}[1]
 {\put(#1){\begin{picture}(50,50)
 \put(20,12.5){\line(1,0){10}}
 \put(0,-5){\framebox(20,35){$=1$}}
\end{picture}}}

% h XNOR-port
\newcommand{\hxnor}[1]
 {\put(#1){\begin{picture}(50,50)
 \put(22.5,12.5){\circle{5}}
 \put(25,12.5){\line(1,0){5}}
 \put(0,-5){\framebox(20,35){$=1$}}
\end{picture}}}

% h NOT-port
\newcommand{\hnot}[1]
 {\put(#1){\begin{picture}(50,50)
 \put(22.5,12.5){\circle{5}}
 \put(25,12.5){\line(1,0){5}}
 \put(0,-5){\framebox(20,35){}}
\end{picture}}}

% h SR flip-flop
\newcommand{\sr}[1]
{\put(#1){\begin{picture}(50,60)
\put(10,-10){\framebox(30,50){}}
\txt{16,0}{R}
\txt{16,30}{S}
%\txt{11,15}{\overline{CK}}
\hln{0,15}{10}
\put(13,15){\makebox(0,0){$>$}}
\put(34,0){\makebox(0,0){$\overline{Q}$}}
\put(34,30){\makebox(0,0){$Q$}}
\hln{0,30}{10}
\hln{0,0}{10}
\hln{40,30}{10}
\hln{40,0}{10}
\end{picture}}}

% h JK flip-flop with S and R inverted
\newcommand{\jk}[1]
{\put(#1){\begin{picture}(50,60)
\put(10,-10){\framebox(30,50){}}
\put(7.5,15){\circle{5}}
\put(25,42.5){\circle{5}}
\put(25,-12.5){\circle{5}}
\hln{0,15}{5}
\hln{0,30}{10}
\hln{0,0}{10}
\hln{40,30}{10}
\hln{40,0}{10}
\put(13,15){\makebox(0,0){$>$}}
\end{picture}}}

% h JK flip-flop
\newcommand{\jkff}[1]
{\put(#1){\begin{picture}(50,60)
\put(10,-10){\framebox(30,50){}}
\put(7.5,15){\circle{5}}
\hln{0,15}{5}
\hln{0,30}{10}
\hln{0,0}{10}
\hln{40,30}{10}
\hln{40,0}{10}
\put(13,15){\makebox(0,0){$>$}}
\end{picture}}}

% h D flip-flop
\newcommand{\dff}[1]
{\put(#1){\begin{picture}(50,60)
\put(10,-10){\framebox(30,50){}}
\hln{0,30}{10}
\hln{0,0}{10}
\hln{40,30}{10}
\hln{40,0}{10}
\put(13,0){\makebox(0,0){$>$}}
\end{picture}}}

% h NOT-port with a triangle
\newcommand{\hnott}[1]
 {\put(#1){\begin{picture}(50,50)
 \put(20,4){\line(3,-2){6}}
 \put(20,0){\line(1,0){10}}
 \put(0,-17.5){\framebox(20,35){}}
\end{picture}}}

% h NOT-port small
\newcommand{\hnots}[1]
 {\put(#1){\begin{picture}(50,50)
 \put(22.5,0){\circle{5}}
 \put(25,0){\line(1,0){5}}
 \put(0,-7.5){\framebox(20,15){}}
\end{picture}}}

% h twoport
\newcommand{\htp}[2]
 {\put(#1){\begin{picture}(100,74)
 \put(15,-5){\framebox(70,60)}
 \put(0,0){\line(1,0){15}}
 \put(0,50){\line(1,0){15}}
 \put(85,0){\line(1,0){15}}
 \put(85,50){\line(1,0){15}}
 \put(50,25){\makebox(0,0){$#2$}}
\end{picture}}}

% h short twoport
\newcommand{\hstp}[2]
 {\put(#1){\begin{picture}(50,74)
 \put(10,-5){\framebox(30,60)}
 \put(0,0){\line(1,0){10}}
 \put(0,50){\line(1,0){10}}
 \put(40,0){\line(1,0){10}}
 \put(40,50){\line(1,0){10}}
 \put(25,25){\makebox(0,0){$#2$}}
\end{picture}}}

% h transmission line
\newcommand{\htl}[2]
 {\put(#1){\begin{picture}(100,60)
 \put(15,-5){\framebox(70,10)}
 \put(15,45){\framebox(70,10)}
 \put(0,0){\line(1,0){15}}
 \put(0,50){\line(1,0){15}}
 \put(85,0){\line(1,0){15}}
 \put(85,50){\line(1,0){15}}
 \put(50,25){\makebox(0,0){$#2$}}
\end{picture}}}

% h transmission line stub left
\newcommand{\hs}[2]
 {\put(#1){\begin{picture}(50,60)
 \put(-40,7){\framebox(30,10)}
 \put(-40,33){\framebox(30,10)}
 \put(0,12){\line(-1,0){10}}
 \put(0,38){\line(-1,0){10}}
 \put(0,0){\line(0,1){12}}
 \put(0,38){\line(0,1){12}}
 \put(-40,12){\line(-1,0){10}}
 \put(-40,38){\line(-1,0){10}}
 \put(-25,25){\makebox(0,0){${#2}$}}
\end{picture}}}

% h transmission line stub right
\newcommand{\hsr}[2]
 {\put(#1){\begin{picture}(50,60)
 \put(10,7){\framebox(30,10)}
 \put(10,33){\framebox(30,10)}
 \put(0,12){\line(1,0){10}}
 \put(0,38){\line(1,0){10}}
 \put(0,0){\line(0,1){12}}
 \put(0,38){\line(0,1){12}}
 \put(40,12){\line(1,0){10}}
 \put(40,38){\line(1,0){10}}
 \put(25,25){\makebox(0,0){$#2$}}
\end{picture}}}

% v transmission line
\newcommand{\vtl}[2]
 {\put(#1){\begin{picture}(60,50)
 \put(-5,10){\framebox(10,30)}
 \put(45,10){\framebox(10,30)}
 \put(0,0){\line(0,1){10}}
 \put(0,40){\line(0,1){10}}
 \put(50,0){\line(0,1){10}}
 \put(50,40){\line(0,1){10}}
 \put(25,25){\makebox(0,0){$#2$}}
\end{picture}}}

% h = horizontal, v = vertical, r = reversed

% General amplifier
\newcommand{\amp}[2]
 {\put(#1){\begin{picture}(50,50)
% \put(0,0){\line(0,1){15}}
\put(0,25){\line(1,0){10}}
% \put(0,35){\line(0,1){15}}
% \put(0,15){\line(1,0){10}}
% \put(0,35){\line(1,0){10}}
 \put(40,25){\line(1,0){10}}
 \put(10,7){\line(0,1){36}}
 \put(10,7){\line(5,3){30}}
 \put(10,43){\line(5,-3){30}}
% \put(15,33){\makebox(0,0){$-$}}
% \put(15,17){\makebox(0,0){$+$}}
 \put(25,25){\makebox(0,0){$#2$}}
\end{picture}}}

% An operational amplifier with supply voltages
\newcommand{\vo}[3]
 {\put(#1){\begin{picture}(50,50)(0,15)
 %\put(0,0){\line(0,1){15}}
 %\put(0,35){\line(0,1){15}}
 \put(0,15){\line(1,0){10}}
 \put(0,35){\line(1,0){10}}
 \put(40,25){\line(1,0){10}}
 \put(10,7){\line(0,1){36}}
 \put(10,7){\line(5,3){30}}
 \put(10,43){\line(5,-3){30}}
 \put(15,33){\makebox(0,0){$-$}}
 \put(15,17){\makebox(0,0){$+$}}
 \put(25,25){\makebox(0,0){$#2$}}
 % K‰yttikset
 \put(25,8){\line(0,1){8}}
 \put(25,34){\line(0,1){8}}
 \put(29,2){\makebox(0,0){\tiny$-#3\V$}}
 \put(29,47){\makebox(0,0){\tiny$+#3\V$}}
\end{picture}}}

% An operational amplifier with supply voltages, inverted
\newcommand{\voi}[3]
 {\put(#1){\begin{picture}(50,50)(0,15)
 %\put(0,0){\line(0,1){15}}
 %\put(0,35){\line(0,1){15}}
 \put(0,15){\line(1,0){10}}
 \put(0,35){\line(1,0){10}}
 \put(40,25){\line(1,0){10}}
 \put(10,7){\line(0,1){36}}
 \put(10,7){\line(5,3){30}}
 \put(10,43){\line(5,-3){30}}
 \put(15,33){\makebox(0,0){$+$}}
 \put(15,17){\makebox(0,0){$-$}}
 \put(25,25){\makebox(0,0){$#2$}}
 % K‰yttikset
 \put(25,8){\line(0,1){8}}
 \put(25,34){\line(0,1){8}}
 \put(29,2){\makebox(0,0){\tiny$-#3\V$}}
 \put(29,47){\makebox(0,0){\tiny$+#3\V$}}
\end{picture}}}

% An operational amplifier with supply voltages, reversed
\newcommand{\vor}[3]
 {\put(#1){\begin{picture}(50,50)(0,15)
 %\put(0,0){\line(0,1){15}}
 %\put(0,35){\line(0,1){15}}
 \put(0,15){\line(-1,0){10}}
 \put(0,35){\line(-1,0){10}}
 \put(-40,25){\line(-1,0){10}}
 \put(-10,7){\line(0,1){36}}
 \put(-10,7){\line(-5,3){30}}
 \put(-10,43){\line(-5,-3){30}}
 \put(-15,33){\makebox(0,0){$+$}}
 \put(-15,17){\makebox(0,0){$-$}}
 \put(-25,25){\makebox(0,0){${#2}$}}

 % K‰yttikset
 \put(-25,8){\line(0,1){8}}
 \put(-25,34){\line(0,1){8}}
 \put(-29,2){\makebox(0,0){\tiny$-#3\V$}}
 \put(-29,47){\makebox(0,0){\tiny$+#3\V$}}

\end{picture}}}

% Node name
\newcommand{\node}[2]
 {\put(#1){\begin{picture}(10,50)
 \thinlines \put(0,0){\circle{7}}
 \put(0,0){\makebox(1,0){\tiny #2}}
\end{picture}}}

% A rectifier bridge, REQUIRES \usepackage{rotating}
\newcommand{\bridge}[1]{

\put(#1){\rotatebox{-45}{\rd{0,0}{}}}
\put(#1){\rotatebox{45}{\rd{-50,50}{}}}
\put(#1){\rotatebox{135}{\ld{-50,-50}{}}}
\put(#1){\rotatebox{-135}{\ld{-50,50}{}}}
}

% v transformer (in power engineering diagrams)
\newcommand{\htf}[2]
 {\put(#1){\begin{picture}(50,32)
 \put(20,0){\circle{20}}
 \put(30,0){\circle{20}}
 \put(0,0){\line(1,0){10}}
 \put(40,0){\line(1,0){10}}
 \put(25,-19){\makebox(0,0){$#2$}}
\end{picture}}}

\newcommand{\vtf}[2]
 {\put(#1){\begin{picture}(32,50)
 \put(0,20){\circle{20}}
 \put(0,30){\circle{20}}
 \put(0,0){\line(0,1){10}}
 \put(0,40){\line(0,1){10}}
 \put(-13,25){\makebox(0,0)[r]{$#2$}}
\end{picture}}}

% Vesan pikamakroja
\newcommand{\kohm}{\,\mathrm{k}\Omega}
\newcommand{\mohm}{\,\mathrm{M}\Omega}
\newcommand{\ohm}{\,\Omega}
\newcommand{\V}{\,\mathrm{V}}
\newcommand{\A}{\,\mathrm{A}}
\newcommand{\Siemens}{\,\mathrm{S}}
\newcommand{\mA}{\,\mathrm{mA}}
\newcommand{\Hz}{\,\mathrm{Hz}}
\newcommand{\kHz}{\,\mathrm{kHz}}
\newcommand{\Uin}{U_\mathrm{in}}
\newcommand{\Uout}{U_\mathrm{out}}
\newcommand{\al}[2]{\parbox{20pt}{$#1$\\$#2$}}
\newcommand{\ad}[2]{\vspace{-10pt}\parbox{20pt}{$#1$\\$#2$}}
\newcommand{\Umin}{U_\mathrm{min}}
\newcommand{\Umax}{U_\mathrm{max}}
\newcommand{\mV}{\,\mathrm{mV}}
\newcommand{\jj}{\mathrm{j}}
\newcommand{\nF}{\,\mathrm{nF}}
\newcommand{\ms}{\,\mathrm{ms}}
\newcommand{\us}{\,\mathrm{\upmu s}}
\newcommand{\uF}{\,\mathrm{\upmu F}}
\newcommand{\uA}{\,\mathrm{\upmu A}}
\newcommand{\Ur}[1]{U_\mathrm{#1}}
\newcommand{\Ua}{U_{\rm a}}
\newcommand{\Du}{\frac{{\rm d}u}{{\rm d}t}}
\newcommand{\Di}{\frac{{\rm d}i}{{\rm d}t}}
\newcommand{\lap}{{\mathcal L}}
\newcommand{\dt}{{\,\rm d} t}
\newcommand{\degree}{^\circ}
\newcommand{\HH}{\,\mathrm{H}}
\newcommand{\mH}{\,\mathrm{mH}}

%\newcommand{\Ub}{U_\mathrm{b}}
%\newcommand{\Ua1}{U_\mathrm{a1}}
%\newcommand{\Ub1}{U_\mathrm{b1}}
%\newcommand{\Ua2}{U_\mathrm{a2}}
%\newcommand{\Ub2}{U_\mathrm{b2}}