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+%%
+%% This is file `pst-func.tex',
+%%
+%% IMPORTANT NOTICE:
+%%
+%% Package `pst-func.tex'
+%%
+%% Herbert Voss <voss@pstricks.de>
+%%
+%% This program can be redistributed and/or modified under the terms
+%% of the LaTeX Project Public License Distributed from CTAN archives
+%% in directory macros/latex/base/lppl.txt.
+%%
+%% DESCRIPTION:
+%% `pst-func' is a PSTricks package to plot special functions
+%%
+%% For a ChangeLog go the the end
+%%
+\csname PSTfuncLoaded\endcsname
+\let\PSTfuncLoaded\endinput
+% Requires PSTricks, pst-node
+\ifx\PSTricksLoaded\endinput\else\input pstricks.tex\fi
+\ifx\PSTnodesLoaded\endinput\else\input pst-plot.tex\fi
+\ifx\PSTXKeyLoaded\endinput\else\input pst-xkey.tex \fi
+%
+\edef\PstAtCode{\the\catcode`\@} \catcode`\@=11\relax
+% interface to the `xkeyval' package
+\pst@addfams{pst-func}
+
+\def\fileversion{0.38}
+\def\filedate{2004/11/08}
+\message{`PST-func' v\fileversion, \filedate\space (Herbert Voss)}
+%
+\pstheader{pst-func.pro}
+%\def\pst@funcdict{tx@FuncDict begin }
+%\def\tx@saveCoor{\pst@3ddict saveCoor end }
+%\def\tx@ConvertTo2D{\pst@3ddict ConvertTo2D end }
+
+\define@key[psset]{pst-func}{cosCoeff}{\edef\psk@cosCoeff{#1}}
+\define@key[psset]{pst-func}{sinCoeff}{\edef\psk@sinCoeff{#1}}
+\psset[pst-func]{cosCoeff=0,sinCoeff=1} % coeff=a0 a1 a2 a3 ...
+%
+\def\psFourier{\@ifnextchar[{\psFourier@i}{\psFourier@i[]}}
+\def\psFourier@i[#1]#2#3{{%
+ \pst@killglue
+ \psset{#1}
+ \psplot{#2}{#3}{%
+ /type (cos) def
+ /Fourier {
+ aload length /n exch def
+ n -1 roll 2 div n 1 roll % a0/2
+ n 1 sub -1 0 {
+ /i exch def
+ i x mul 180 mul 3.141592 div
+ type (sin) eq {sin}{cos} ifelse
+ mul n 1 roll
+ } for
+ n 1 sub -1 1 { pop add } for
+ } def
+ [\psk@cosCoeff] Fourier
+ /type (sin) def
+ [0 \psk@sinCoeff] Fourier add
+ }%
+}\ignorespaces}
+%
+\define@key[psset]{pst-func}{coeff}{\edef\psk@coeff{#1}}
+\define@key[psset]{pst-func}{Abbreviation}{\edef\psk@Deriviation{#1}}% compatibility
+\define@key[psset]{pst-func}{Derivation}{\edef\psk@Derivation{#1}}
+\newif\ifPst@markZeros%
+\define@key[psset]{pst-func}{markZeros}[true]{\@nameuse{Pst@markZeros#1}}
+\define@key[psset]{pst-func}{epsZero}{\edef\psk@epsZero{#1}}
+\define@key[psset]{pst-func}{dZero}{\edef\psk@dZero{#1}}
+\define@key[psset]{pst-func}{zeroLineTo}{\edef\psk@zeroLineTo{#1}}
+\define@key[psset]{pst-func}{zeroLineColor}{\pst@getcolor{#1}\psk@zeroLineColor}
+\newdimen\psk@zeroLineWidth
+\define@key[psset]{pst-func}{zeroLineWidth}{\pssetlength\psk@zeroLineWidth{#1}}
+\define@key[psset]{pst-func}{zeroLineStyle}{%
+ \@ifundefined{psls@#1}%
+ {\@pstrickserr{Line style `#1' not defined}\@eha}%
+ {\edef\psk@zeroLineStyle{#1}}%
+}
+\psset[pst-func]{%
+ coeff=0 1, % coeff=a0 a1 a2 a3 ...
+ Derivation=0, % 0 is the original function
+ markZeros=false,% no dots for the zeros
+ epsZero=0.1, % the distance between two zero points
+ dZero=0.1, % the distance of the x value for scanning the function
+ zeroLineTo=-1, % a line to the value of the lineTo's Derivation (-1= none)
+ zeroLineStyle=dashed,%
+ zeroLineWidth=0.5\pslinewidth,%
+ zeroLineColor=black}%
+%
+\def\psPolynomial{\pst@object{psPolynomial}}
+\def\psPolynomial@i#1#2{{%
+ \begin@OpenObj
+ \@nameuse{beginplot@\psplotstyle}%
+ \gdef\psplot@init{}%
+ \@nameuse{testqp@\psplotstyle}%
+ \addto@pscode{%
+ tx@FuncDict begin
+ /coeff [ \psk@coeff ] def
+ /x0 #1 def /x1 #2 def
+ /dx x1 x0 sub \psk@plotpoints\space div def
+ /Derivation \psk@Derivation\space def
+ \ifPst@markZeros
+ gsave
+ \pst@number\psk@zeroLineWidth SLW
+ \pst@usecolor\psk@zeroLineColor
+ \psk@epsZero\space \psk@dZero\space FindZeros
+ pstZeros aload length {
+ /xZero exch def
+ xZero \pst@number\psxunit mul /xPixel exch def
+ \psk@dotsize
+ \@nameuse{psds@\psk@dotstyle}%
+ xPixel 0 Dot
+ \psk@zeroLineTo\space 0 ge { % line to function \psk@lineTo
+ xPixel 0 moveto
+ xZero coeff \psk@zeroLineTo\space FuncValue
+ \pst@number\psyunit mul xPixel exch L
+ \@nameuse{psls@\psk@zeroLineStyle}
+ } if
+ } repeat
+ grestore
+ \fi
+ /x x0 def
+ /xy {
+ x coeff Derivation FuncValue \pst@number\psyunit mul
+ x \pst@number\psxunit mul exch
+ } def
+ xy moveto
+ }%
+ \if@pst% lines and dots
+ \psPolynomial@ii%
+ \else% curves
+ \psPolynomial@iii%
+ \fi%
+ \end@OpenObj
+}\ignorespaces}
+%
+\def\psPolynomial@ii{%
+ \addto@pscode{%
+ xy \@nameuse{beginqp@\psplotstyle}
+ \psk@plotpoints {
+ xy \@nameuse{doqp@\psplotstyle}
+ /x x dx add def
+ } repeat
+ xy \@nameuse{doqp@\psplotstyle}
+ end
+ }%
+ \@nameuse{endqp@\psplotstyle}%
+}
+\def\psPolynomial@iii{% curves
+ \addto@pscode{%
+ mark
+ /n 2 def
+ \psk@plotpoints {
+ xy
+ n 2 roll
+ /n n 2 add def
+ /x x dx add def
+ } repeat
+ /x x1 def
+ xy
+ n 2 roll
+ end
+ }%
+ \@nameuse{endplot@\psplotstyle}%
+}
+%
+% Bessel 2004-06-08
+% Manuel Luque, Herbert Voss
+% Look at the end for some more documentation about the algorithm
+%
+\define@key[psset]{pst-func}{constI}{\edef\psk@constI{#1}}
+\define@key[psset]{pst-func}{constII}{\edef\psk@constII{#1}}
+\psset{constI=1,constII=0}
+%
+\def\psBessel{\@ifnextchar[{\psBessel@i}{\psBessel@i[]}}
+\def\psBessel@i[#1]#2#3#4{{%%% #2 = n
+ \pst@killglue
+ \psset{plotpoints=500}%
+ \psset{#1}%
+ \parametricplot{#3}{#4}{%
+ /J1 0 def
+ /k { 57.29577951 mul } def
+ /xBessel t k def
+ 0 0.1 180 {
+ /tB exch k def
+ /J1 J1 0.1 xBessel
+ tB sin mul tB #2\space mul sub cos mul add def
+ } for
+ t J1 180 div \psk@constI\space mul \psk@constII\space add
+ }%
+}\ignorespaces}
+%
+\define@key[psset]{pst-func}{sigma}{\edef\psk@sigma{#1}}
+\psset{sigma=0.5}
+%
+\def\psGauss{\@ifnextchar[{\psGauss@i}{\psGauss@i[]}}
+\def\psGauss@i[#1]#2#3{{%
+ \pst@killglue%
+ \psset{plotpoints=200}%
+ \psset{#1}%
+ \pstVerb{%
+ /euler 2.718282 def
+ /Const 1 \psk@sigma\space div 6.2831 sqrt div def
+ }%
+ \psplot{#2}{#3}{%
+ euler x dup mul 2 div \psk@sigma\space dup mul div neg exp Const mul%
+ }%
+}\ignorespaces}
+%
+\catcode`\@=\PstAtCode\relax
+%
+%% END: pst-abspos.tex
+\endinput
+%