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% $Id: pst-plot.tex 744 2013-01-03 19:54:37Z herbert $
%% BEGIN pst-plot.tex
%%
%% plotting functions and data with PSTricks.
%% See the betadoc documentation for usage.
%%
%% COPYRIGHT 1993, 1994, 1999 by Timothy Van Zandt, tvz@nwu.edu.
%% COPYRIGHT 2009-2013 by Herbert Voss, hvoss@tug.org.
%%
%% 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.
%%
%
\csname PSTplotLoaded\endcsname
\let\PSTplotLoaded\endinput
%
\ifx\PSTricksLoaded\endinput\else\input pstricks.tex\fi
\ifx\PSTXKeyLoaded\endinput\else \input pst-xkey.tex\fi
\ifx\PSTFPloaded\endinput\else \input pst-fp.tex \fi
\ifx\MultidoLoaded\endinput\else \input multido.tex \fi
%
\def\fileversion{1.44}
\def\filedate{2013/01/03}
\message{ v\fileversion, \filedate\space (tvz,hv)}
%
\edef\TheAtCode{\the\catcode`\@}
\catcode`\@=11
%
\pst@addfams{pst-plot}
%
\def\pst@linetype{2}%
\SpecialCoor
%
\def\psPiFour{12.566371}
\def\psPiTwo{6.283185}
\def\psPi{3.14159265}
\def\psPiH{1.570796327}
\newdimen\pstRadUnit
\newdimen\pstRadUnitInv
\pstRadUnit=1.047198cm % this is pi/3
\pstRadUnitInv=0.95493cm % this is 3/pi
%
% Using lists of data is optimized for \dataplot and \fileplot
% Here is the tricky part. As each line is read from file,
% we want to ignore trailing delimiters, and convert arbitrary
% strings of non-trailing delimiters to _D_.
% We end up with
% D x1 D y1 D x2 D y2 ... D xn D yn
%
\begingroup
\catcode`\{=13
\catcode`\}=13
\catcode`\(=13
\catcode`\)=13
\catcode`\,=13
\catcode`\!=1
\catcode`\*=2
\catcode`\ =13
\catcode`\_=13
\catcode`\^^M=13
\gdef\pst@datadelimiters!% Begin def
\catcode`\{=13%
\catcode`\}=13%
\catcode`\(=13%
\catcode`\)=13%
\catcode`\,=13%
\catcode`\ =13%
\catcode`\^^M=13%
\def,##1!%
\ifcat\noexpand,\noexpand##1%
\expandafter##1%
\else\space%
D\space##1%
\fi*%
\let(,\let),\let{,\let},\let ,\let^^M,\let_\@empty*% End def
\endgroup
\define@key[psset]{pst-plot}{ignoreLines}[0]{\def\psk@ignoreLines{#1}}
\psset[pst-plot]{ignoreLines=0}
%
\newcount\pst@linecnt
\begingroup
\catcode`\,=13
\catcode`\_=13
\gdef\savedata@#1[#2]{%
\xdef\pst@tempg{#2_}%
\endgroup
\let#1\pst@tempg
\global\let\pst@tempg\relax
\ignorespaces}
%
\gdef\readdata@{%
\read1 to \pst@tempA
\ifnum\pst@linecnt=\psk@nStep
\global\pst@linecnt=0
\expandafter\readdata@@\pst@tempA_\@nil
\fi
\global\advance\pst@linecnt by 1
\ifeof1\else\expandafter\readdata@\fi}
\gdef\pst@@readfile#1#2\@nil{\addto@pscode{,#1#2}}%
\gdef\readdata@@#1#2\@nil{\xdef\pst@tempg{\pst@tempg,#1#2}}%
\endgroup
%
\def\readdata{\@ifnextchar[{\readdata@i}{\readdata@i[]}}
\def\readdata@i[#1]#2#3{%
% \def\pst@tempA{#1}%
\openin1=#3
\begingroup
\ifx#1\relax#1\else\psset{#1}\fi
\def\pst@tempg{}%
\ifeof1
\@pstrickserr{Data file `#3' not found.}\@ehpa
\else
\pst@datadelimiters
\catcode`\[=1
\catcode`\]=2
\pst@cnta=0
\loop \ifnum\the\pst@cnta<\psk@ignoreLines
\advance\pst@cnta by 1\relax
\read1 to \pst@tempA
\repeat
\psDEBUG[pst-plot]{>>> ignored \the\pst@cnta\space data lines}%
\global\pst@linecnt=\psk@nStep%
\readdata@%
\fi%
\endgroup%
\global\let#2\pst@tempg%
\global\let\pst@tempg\relax%
\ignorespaces}
%
\def\pst@readfile#1{{\let\readdata@@\pst@@readfile\readdata\pst@tempg{#1}}}
\def\pst@altreadfile#1{%
\openin1=#1
\ifeof1
\@pstrickserr{Data file `#1' not found.}\@ehpa
\else
\catcode`\{=10
\catcode`\}=10
\catcode`\(=10
\catcode`\)=10
\catcode`\,=10
\catcode`\^^M=10
\catcode`\[=1
\catcode`\]=2
\pst@@altreadfile
\fi}
\def\pst@@altreadfile{%
\read1 to \pst@tempg
\expandafter\pst@@@altreadfile\pst@tempg\@empty\@nil
\ifeof1\else\expandafter\pst@@@altreadfile\fi}
\def\pst@@@altreadfile#1#2\@nil{\addto@pscode{#1#2}}%
%
\def\savedata#1{\begingroup\pst@datadelimiters\savedata@{#1}}
%
%%%%%%%%%%%%%% the plot-styles %%%%%%%%%%%%%%%%%%
%
\def\beginplot@line{\begin@OpenObj}
\def\endplot@line{\psline@ii}
%
\def\beginplot@polygon{\begin@ClosedObj}
\def\endplot@polygon{\pspolygon@ii}
%
\def\beginplot@curve{\begin@OpenObj}
\def\endplot@curve{\pscurve@ii}
%
\def\beginplot@ecurve{\begin@OpenObj}
\def\endplot@ecurve{\psecurve@ii}
%
\def\beginplot@ccurve{\begin@ClosedObj}
\def\endplot@ccurve{\psccurve@ii}
%
\def\beginplot@dots{\begin@SpecialObj}
\def\endplot@dots{\psdots@ii}
%
\define@key[psset]{pst-plot}{Hue}[180]{\pst@getint{#1}\pst@HueAngle}
\psset[pst-plot]{Hue=180}
\def\beginplot@colordots{\begin@SpecialObj}
\def\endplot@colordots{%
\addto@pscode{%
\psk@dotsize
\@nameuse{psds@\psk@dotstyle}
newpath
/MaxValue 0 def
/m n 2 mul def
n {
dup MaxValue gt { dup /MaxValue ED } if
m 2 roll
} repeat
n { dup MaxValue div % y y
\pst@number\psyunit div abs % to orig y value
\pst@HueAngle\space 360 div exch dup sethsbcolor % 180 Y Y hsb color
transform floor .5 add exch floor
.5 add exch itransform Dot stroke } repeat }%
\end@SpecialObj%
}
%
\def\beginplot@bezier{\begin@OpenObj}
\def\endplot@bezier{\psbezier@ii}
%
\def\beginplot@cbezier{\begin@ClosedObj}
\def\endplot@cbezier{\pscbezier@ii}
% added 2007-06-26 (hv)
\let\beginplot@LineToYAxis\beginplot@line % all from pst-plot
\def\endplot@LineToYAxis{\psLineToYAxis@ii}
\let\beginqp@LineToYAxis\beginqp@line
\let\doqp@LineToYAxis\doqp@line
\let\endqp@LineToYAxis\endqp@line
\let\testqp@LineToYAxis\testqp@line
\let\beginplot@LineToXAxis\beginplot@line
\def\endplot@LineToXAxis{\psLineToXAxis@ii}
\let\beginqp@LineToXAxis\beginqp@line
\let\doqp@LineToXAxis\doqp@line
\let\endqp@LineToXAxis\endqp@line
\let\testqp@LineToXAxis\testqp@line
%
\newif\ifPst@interrupt \Pst@interruptfalse
\define@key[psset]{pst-plot}{barwidth}[0.25cm]{\pst@getlength{#1}\Add@barwidth}
\psset[pst-plot]{barwidth=0.25cm}
\define@key[psset]{pst-plot}{interrupt}[]{\expandafter\pst@interrupt#1,,,\@nil}
\def\pst@interrupt#1,#2,#3,#4\@nil{%
\ifx\relax#1\relax \Pst@interruptfalse
\else
\Pst@interrupttrue
\def\pst@interrupt@YMax{#1 }%
\def\pst@interrupt@YMaxSep{#2 }%
\def\pst@interrupt@YMaxDiff{#3 }%
\fi
}
%
\def\psbar@ii{\addto@pscode{false \tx@NArray \psbar@iii}}
\def\psbar@iii{%
\ifPst@interrupt
/YMax \pst@interrupt@YMax \strip@pt\psyunit\space mul def
/YMaxSep \pst@interrupt@YMaxSep \strip@pt\psyunit\space mul def
/YMaxDiff \pst@interrupt@YMaxDiff \strip@pt\psyunit\space mul def
/Tilde { % on stack DX
/Op ED % add or sub
/DX ED
currentpoint 2 copy
/Y ED /X ED % x y
X DX add Y YMaxSep 2 div Op
X DX dup add add Y
curveto
currentpoint 2 copy pop /X ED
X DX add Y YMaxSep 2 div neg Op
X DX dup add add Y
curveto
} def
newpath
n {
/Yval exch def /Xval exch def
Xval \number\Add@barwidth 0.5 mul sub 0 moveto
Yval YMax le {
0 Yval rlineto \number\Add@barwidth 0 rlineto
0 Yval neg rlineto \number\Add@barwidth neg 0 rlineto
}{
0 YMax rlineto
\number\Add@barwidth 4 div
{ add } Tilde
0 YMax neg rlineto
\number\Add@barwidth neg 0 rlineto
closepath
Xval \number\Add@barwidth 0.5 mul sub YMax YMaxSep add moveto
0 Yval YMax sub YMaxSep sub YMaxDiff sub rlineto
\number\Add@barwidth 0 rlineto
0 Yval YMax YMaxSep add sub YMaxDiff sub neg rlineto
\number\Add@barwidth 4 div neg
{ sub } Tilde
} ifelse
} repeat
\else
newpath
n {
/Yval exch def /Xval exch def
Xval \number\Add@barwidth 0.5 mul sub 0 moveto
0 Yval rlineto \number\Add@barwidth 0 rlineto
0 Yval neg rlineto \number\Add@barwidth neg 0 rlineto
} repeat
\fi
}%
\def\beginplot@bar{\begin@SpecialObj}
\def\endplot@bar{%
\psbar@ii\psk@fillstyle\ifpsshadow\pst@closedshadow\fi%
\pst@stroke
\end@SpecialObj}
%
\def\psybar@ii{\addto@pscode{false \tx@NArray \psybar@iii}}
\def\psybar@iii{%
newpath
n {
/Yval exch def /Xval exch def
0 Yval \number\Add@barwidth 0.5 mul sub moveto
Xval 0 rlineto 0 \number\Add@barwidth rlineto
Xval neg 0 rlineto 0 \number\Add@barwidth neg rlineto
} repeat
}%
\def\beginplot@ybar{\begin@SpecialObj}
\def\endplot@ybar{%
\psybar@ii\psk@fillstyle\ifpsshadow\pst@closedshadow\fi%
\pst@stroke
\end@SpecialObj}
%
% LSM Least Square Method 2006-03-13 (hv)
\def\psLSM@ii{\addto@pscode{ false \tx@NArray \psLSM@iii }}
\def\psLSM@iii{%
/xiSquare 0 def % xi*xi
/xi 0 def % xi
/fi 0 def % f(xi)
/xifi 0 def % xi*f(xi)
exch dup dup /xEnd ED /xStart ED exch
n { % number of data pairs
/Yval ED /Xval ED % save x y values
/xi xi Xval add def % sum xi
/xiSquare xiSquare Xval dup mul add def % sum xi*xi
/xifi xifi Xval Yval mul add def % sum xi*yi, same as xi*f(xi)
/fi fi Yval add def % sum yi, same as f(xi)
Xval xStart lt { /xStart Xval def } if % find the lowest xi
Xval xEnd gt { /xEnd Xval def } if % find the largest xi
} repeat
/u xiSquare fi mul xi xifi mul sub n xiSquare mul xi dup mul sub div def
/v n xifi mul xi fi mul sub n xiSquare mul xi dup mul sub div def
\Pst@Debug\space 0 gt { % print the equation
/Helvetica findfont 12 scalefont setfont
0 -50 moveto (y=) show % print y=
v \pst@number\psyunit \pst@number\psxunit div div 20 string cvs show ( x+) show % m*x+
u \pst@number\psyunit div 20 string cvs show } if
newpath
(\psk@xStart) length 0 gt % special start value?
{ \psk@xStart\space \pst@number\psxunit mul }
{ xStart } ifelse
dup v mul u add % xStart f(xStart)
moveto % goto first point x1 y(x1)
(\psk@xEnd) length 0 gt % special end value?
{ \psk@xEnd\space \pst@number\psxunit mul }
{ xEnd } ifelse
dup v mul u add % xEnd f(xEnd)
lineto % line to second point x2 y(x2)
}%
%
\def\beginplot@LSM{\begin@SpecialObj}
\def\endplot@LSM{%
\psLSM@ii\psk@fillstyle\ifpsshadow\pst@closedshadow\fi%
\pst@stroke
\end@SpecialObj}
%
\define@key[psset]{pst-plot}{IQLfactor}{\pst@checknum{#1}\pst@IQLfactor}
\psset[pst-plot]{IQLfactor=1.5}
%
\def\psBoxplot@ii{%
\addto@pscode{
/Barwidth \number\Add@barwidth 2 div def
/Endwidth Barwidth \psk@arrowlength\space mul def
NArray bubblesort
/NArray ED % save sorted array
[ NArray { yUnit mul } forall ] /NArray ED % multiply with y unit
NArray 0 get /MinVal ED % save minimum
NArray m 1 sub get /MaxVal ED % maximum
m 2 div cvi /M ED % the middle
NArray length 2 mod 0 eq { % even numbers of entries
M 1 sub NArray exch get % even number of values
NArray M get % and the upper one
add 2 div /Median ED % the median
}{
NArray M get /Median ED % odd numbers of values
} ifelse
m 4 mod 0 eq { % get the lower Quartil even/odd
m 4 div cvi dup 1 sub NArray exch get
exch NArray exch get
% M 2 div cvi 1 add dup /M2 ED % save middle index
% 1 sub NArray exch get
% NArray M2 get
add 2 div floor /LowerQuartil ED
}{
NArray M 2 div cvi get /LowerQuartil ED
} ifelse % end even/odd
m 0.75 mul dup dup cvi sub 0 eq { % get the upper Quartil
% 0.75*m is an integer
cvi dup 1 sub NArray exch get exch NArray exch get
% M 1.5 mul cvi 1 add dup /M3 ED
% 1 sub NArray exch get
% NArray M3 get
add 2 div floor /UpperQuartil ED
}{ % upper quartil
NArray m 0.75 mul floor cvi get /UpperQuartil ED
} ifelse
%
/IQL UpperQuartil LowerQuartil sub \pst@IQLfactor\space mul def
0 1 m 1 sub { % Index on stack
dup /Index ED
NArray exch get LowerQuartil sub abs IQL sub 0 gt {
\psk@dotsize
\@nameuse{psds@\psk@dotstyle}
0 NArray Index get
Dot
NArray Index LowerQuartil UpperQuartil LowerQuartil sub \pst@IQLfactor\space mul sub
dup /MinVal ED put % replace with 1.5 IQL
% NArray Index 1 add get /MinVal ED
} { exit } ifelse
} for
m 1 sub -1 0 { % Index on stack
dup /Index ED
NArray exch get UpperQuartil sub abs IQL sub 0 gt {
% newpath
\psk@dotsize
\@nameuse{psds@\psk@dotstyle}
0 NArray Index get
Dot
NArray Index UpperQuartil LowerQuartil sub \pst@IQLfactor\space mul UpperQuartil add
dup /MaxVal ED put % replace with 1.5 IQL
}{ exit } ifelse
} for
%
Endwidth neg MaxVal moveto % we are on top
Endwidth dup add 0 rlineto
0 MaxVal moveto
0 UpperQuartil lineto % upper quartil
0 LowerQuartil moveto
0 MinVal lineto
Endwidth neg MinVal moveto
Endwidth dup add 0 rlineto
gsave
\pst@number\pslinewidth SLW
\pst@usecolor\pslinecolor
\tx@setStrokeTransparency
% \tx@setStrokeTransparency
\@nameuse{psls@\pslinestyle}
stroke
grestore
newpath
Barwidth neg LowerQuartil moveto % lower quartil
Barwidth neg UpperQuartil lineto
Barwidth dup add 0 rlineto
Barwidth LowerQuartil lineto
closepath
gsave \pst@usecolor\psfillcolor \tx@setTransparency fill grestore
Barwidth neg Median moveto % median
Barwidth dup add 0 rlineto
\pst@number\pslinewidth SLW
\pst@usecolor\pslinecolor
\tx@setStrokeTransparency
% \tx@setStrokeTransparency
\@nameuse{psls@solid}
}}%
%
\def\beginplot@Boxplot{\init@pscode}
\def\endplot@Boxplot{%
\psBoxplot@ii\psk@fillstyle\ifpsshadow\pst@closedshadow\fi%
\pst@stroke
\end@SpecialObj}
%
\def\psBoxplot{\def\pst@par{}\pst@object{psBoxplot}}
\def\psBoxplot@i#1{%
\leavevmode
\pst@killglue
\begingroup
\addbefore@par{barwidth=40pt,arrowlength=0.75}%
\addto@par{plotstyle=Boxplot}%
\use@par
\@nameuse{beginplot@\psplotstyle}%
\addto@pscode{
/D {} def
[ #1 ] /NArray ED
NArray aload length /m ED
/xUnit \pst@number\psxunit def
/yUnit \pst@number\psyunit def
}%
\@nameuse{endplot@\psplotstyle}%
\ignorespaces%
}
%
\define@key[psset]{pst-plot}{plotstyle}[line]{%
\@ifundefined{beginplot@#1}%
{\@pstrickserr{Plot style `#1' not defined}\@eha}%
{\def\psplotstyle{#1}}}
\psset[pst-plot]{plotstyle=line}
%
\define@key[psset]{pst-plot}{plotpoints}[50]{%
\pst@cntg=#1\relax
\ifnum\pst@cntg<2
\@pstrickserr{plotpoints parameter must be at least 2}\@ehpa
\else
\advance\pst@cntg-1
\edef\psk@plotpoints{\the\pst@cntg\space}%
\fi}
\psset[pst-plot]{plotpoints=50}
%
%the following works only for plotstyle line, polygon and bezier
\define@key[psset]{pst-plot}{yMaxValue}[1.e30]{\def\psk@yMaxValue{#1 }\def\psk@yMinValue{#1 neg }}
\psset{yMaxValue=1.e30}
\define@key[psset]{pst-plot}{yMinValue}[-1.e30]{\def\psk@yMinValue{#1 }}
\psset{yMinValue=-1.e30}
% can be in PS syntax (eg 1e1.2) and must be positiv! negative values
% will beignored
%
% For quick plots, define:
% \beginqp@<foo> : What to do to first point (PS code only).
% \doqp@<foo> : What to do to subsequent points (PS code only).
% \endqp@<foo> : How to end plot.
% \testqp@<foo> : Set \@psttrue if OK to use quick plot.
%
\def\beginqp@line{\pst@oplineto}
\def\doqp@line{
dup
\psk@yMaxValue \pst@number\psyunit mul gt
{ moveto }
{ dup \psk@yMinValue \pst@number\psyunit mul lt
{ moveto }
{ L } ifelse
} ifelse
}
\def\endqp@line{%
\ifPst@variableLW \addto@pscode{ \pst@flattenpath }\fi%
\end@OpenObj}%
\def\testqp@line{%
\ifdim\pslinearc>\z@\else
\ifshowpoints\else
\ifx\psk@arrowA\@empty
\ifx\psk@arrowB\@empty
\@psttrue
\fi
\fi
\fi
\fi}
%
\def\beginqp@polygon{moveto }
\def\doqp@polygon{
dup
\psk@yMaxValue \pst@number\psyunit mul gt
{ moveto }{
dup
\psk@yMinValue \pst@number\psyunit mul lt
{ moveto }{ L } ifelse
} ifelse
}
\def\endqp@polygon{%
\addto@pscode{closepath}%
\end@ClosedObj}
\def\testqp@polygon{%
\ifdim\pslinearc>\z@\else
\ifshowpoints\else
\@psttrue
\fi
\fi}
%
\def\beginqp@dots{%
\psk@dotsize
\@nameuse{psds@\psk@dotstyle}
% DG/SR modification begin - Dec. 12, 1999 - Patch 2
% /TheDot { gsave \psk@dotangle \psk@dotscale Dot grestore } def
% TheDot }
Dot }
%\def\doqp@dots{TheDot }
\def\doqp@dots{Dot }
% DG/SR modification end
\def\endqp@dots{\end@SpecialObj}
\def\testqp@dots{\@psttrue}
%
\def\beginqp@bezier{/n 0 def \pst@oplineto}
\def\doqp@bezier{/n n 1 add def n 3 mod 0 eq { % we need 3 points
dup \psk@yMaxValue\space \pst@number\psyunit mul gt
{ moveto pop pop pop pop}
{ dup \psk@yMinValue\space \pst@number\psyunit mul lt
{ moveto pop pop pop pop}{ curveto } ifelse
} ifelse
} if
}
\def\endqp@bezier{%
\addto@pscode{n 3 mod { pop pop } repeat}
\end@OpenObj}%
\def\testqp@bezier{%
\ifshowpoints\else
\ifx\psk@arrowA\@empty
\ifx\psk@arrowB\@empty
\@psttrue
\fi
\fi
\fi}
%
\def\beginqp@cbezier{/n 0 def moveto }
\def\doqp@cbezier{\doqp@bezier}
\def\endqp@cbezier{%
\addto@pscode{n 3 mod { pop pop } repeat closepath}
\end@ClosedObj}%
\def\testqp@cbezier{\ifshowpoints\else\@psttrue\fi}
%
% added 2007-06-26 (hv) -------------------------------------------------
\def\tx@LineToYAxis{LineToYAxis }
\def\psLineToYAxis@ii{%
\addto@pscode{\pst@cp \psline@iii \psk@Ox\space \pst@number\psxunit mul \tx@LineToYAxis}%
\end@OpenObj}
%
\def\tx@LineToXAxis{LineToXAxis }
\def\psLineToXAxis@ii{%
\addto@pscode{\pst@cp \psline@iii \psk@Oy\space \pst@number\psyunit mul \tx@LineToXAxis}%
\end@OpenObj}
%
\define@key[psset]{pst-plot}{PSfont}[Times-Roman]{\def\psk@PSfont{/#1 }}
\define@key[psset]{pst-plot}{valuewidth}[10]{\pst@getint{#1}\psk@valuewidth }
\define@key[psset]{pst-plot}{fontscale}[10]{\pst@checknum{#1}\psk@fontscale }
\define@key[psset]{pst-plot}{decimals}[-1]{\pst@getint{#1}\psk@decimals }
\psset[pst-plot]{PSfont=Times-Roman,fontscale=10,valuewidth=10,decimals=-1}
%
\newdimen\psxlabelsep
\newdimen\psylabelsep
\define@key[psset]{pst-plot}{xlabelsep}[5pt]{\pssetlength\psxlabelsep{#1}}
\define@key[psset]{pst-plot}{ylabelsep}[5pt]{\pssetlength\psylabelsep{#1}}
\psset[pst-plot]{xlabelsep=5pt,ylabelsep=5pt}
%
\newif\ifPst@valuesStar\Pst@valuesStarfalse
\newif\ifPst@xvalues\Pst@xvaluesfalse
%
\def\psvalues@ii{\addto@pscode{ false \tx@NArray \psvalues@iii }}
\def\psvalues@iii{
\psk@PSfont findfont \psk@fontscale scalefont setfont
newpath
n { /yO ED /xO ED
gsave
\ifPst@xvalues
xO \pst@number\psxunit div
\else
yO \pst@number\psyunit div
\fi
\psk@decimals 0 eq { cvi } if
\psk@decimals 0 gt { 10 \psk@decimals exp dup 3 1 roll mul cvi exch div } if
\psk@valuewidth string cvs /Str ED
\ifPst@valuesStar
Str stringwidth pop /yS \psk@fontscale def /xS ED
gsave newpath
xO \ifPst@xvalues \pst@number\pslabelsep add \fi
yO \ifPst@xvalues\else \pst@number\pslabelsep add \fi
moveto \ifx\psk@rot\@empty\else\psk@rot rotate \fi
xS 0 rlineto 0 yS rlineto xS neg 0 rlineto 0 yS neg rlineto
closepath 1 setgray fill stroke
grestore
\fi
xO \ifPst@xvalues \pst@number\pslabelsep add \fi
yO \ifPst@xvalues\else \pst@number\pslabelsep add \fi
moveto \ifx\psk@rot\@empty\else\psk@rot rotate \fi
Str show
grestore } repeat
}%
\def\beginplot@values{\Pst@valuesStarfalse\begin@SpecialObj}
\expandafter\def\csname beginplot@values*\endcsname{\Pst@valuesStartrue\begin@SpecialObj}
\def\beginplot@xvalues{\Pst@valuesStarfalse\begin@SpecialObj}
\expandafter\def\csname beginplot@xvalues*\endcsname{\Pst@valuesStartrue\begin@SpecialObj}
\def\endplot@values{%
\Pst@xvaluesfalse%
\psvalues@ii%
\pst@stroke
\end@SpecialObj}
\@namedef{endplot@values*}{\endplot@values}
\def\endplot@xvalues{%
\Pst@xvaluestrue%
\psvalues@ii%
\pst@stroke
\end@SpecialObj}
\@namedef{endplot@xvalues*}{\endplot@xvalues}
%
% end (hv) --------------------------------------------------------------
%
%
\def\psdataplot{\def\pst@par{}\pst@object{dataplot}}
\def\dataplot{\def\pst@par{}\pst@object{dataplot}}
\def\dataplot@i#1{%
\pst@killglue
\begingroup
\use@par
\@pstfalse
\@nameuse{testqp@\psplotstyle}%
\if@pst
\dataplot@ii{\addto@pscode{#1}}%
\else
\listplot@ii{\addto@pscode{#1}}%
\fi
\endgroup
\ignorespaces}
%
\def\dataplot@ii#1{%
\@nameuse{beginplot@\psplotstyle}%
\addto@pscode{%
/Dx { \pst@number\psxunit mul /D { Dy } def } def
/Dy { \pst@number\psyunit mul Do /D { Dx } def } def
/D { /D { Dx } def } def
/Do {
\@nameuse{beginqp@\psplotstyle}%
/Do { \@nameuse{doqp@\psplotstyle}} def
} def}%
#1% % this is \pst@readfile{#1} for fileplot
\addto@pscode{ D }%
\@nameuse{endqp@\psplotstyle}}
%
\def\psfileplot{\def\pst@par{}\pst@object{fileplot}}
\def\fileplot{\def\pst@par{}\pst@object{fileplot}}
\def\fileplot@i#1{%
\pst@killglue%
\begingroup%
\use@par%
\@pstfalse%
\@nameuse{testqp@\psplotstyle}%
\if@pst\dataplot@ii{\pst@readfile{#1}}\else\listplot@ii{\pst@altreadfile{#1}}\fi%
\endgroup%
\ignorespaces}
%
\def\pslistplot{\pst@object{listplot}}
\def\listplot{\pst@object{listplot}}
\def\listplot@i#1{\listplot@ii{\addto@pscode{#1}}}
\def\listplot@ii#1{%
\@nameuse{beginplot@\psplotstyle}%
\addto@pscode{/D {} def mark}%
#1%
\addto@pscode{
\tx@PreparePoints
\pst@number\psxunit
\pst@number\psyunit
\tx@ScalePoints
}%
\@nameuse{endplot@\psplotstyle}%
}
%
\define@boolkey[psset]{pst-plot}[Psk@]{xyValues}[true]{}
\define@boolkey[psset]{pst-plot}[Pst@]{ChangeOrder}[true]{}
\psset[pst-plot]{xyValues,ChangeOrder=false}
%
\pst@def{PreparePoints}<{%
counttomark /m exch def
/maxYValues \psk@plotNoMax\space def
/YValuePos \psk@plotNo\space def
/XValuePos \psk@plotNoX\space def
\ifPsk@xyValues\else % we have only y values
/mm m def
/M m 1 add def
m { mm exch M 2 roll /M M 1 add def /mm mm 1 sub def } repeat
/m m dup add def
\fi
\ifPst@ChangeOrder
/m0 m def
m maxYValues 1 add div 1 sub cvi {
m0 maxYValues 1 add roll /m0 m0 maxYValues 1 add sub def
} repeat
\fi
/n m maxYValues 1 add div cvi def
%
% when having multiple x values, we first delete the first X value
% and then put the plotNoX onto the first position
%
XValuePos 1 gt {% multiple x values? x y y xNo y
n {
maxYValues 1 add XValuePos neg roll % y x y y xNo
dup /XValue ED
maxYValues 1 add XValuePos 1 sub roll % y y xNo y x
pop XValue % y y xNo y xNo
maxYValues 1 add 1 roll % xNo y y xNo y
m maxYValues 1 add roll % next values
} repeat
} if % no multiple data files
maxYValues 1 gt {% multiple data files? x y y yNo y
n {
maxYValues YValuePos 1 sub neg roll % x yNo y y y ...
maxYValues 1 sub { pop } repeat % x yNo
/m m maxYValues 1 sub sub def
m 2 roll
} repeat
} if % no multiple data files
% counttomark /m exch def
% /n m 2 div cvi def
/xMax -99999 def /yMax -99999 def
/xP 0 def /yP 0 def
m copy
n {
/y exch def /x exch def
xMax x lt { /xMax x def } if
yMax y lt {/yMax y def } if
xP x gt { /xP x def } if
yP y gt { /yP y def } if
} repeat
% m 2 roll
\psk@xStep\space 0 gt \psk@yStep\space 0 gt or (\psk@xStart) length 0 gt or
(\psk@yStart) length 0 gt or (\psk@xEnd) length 0 gt or (\psk@yEnd) length 0 gt or {
%
(\psk@xStart) length 0 gt {\psk@xStart\space }{ xP } ifelse /xStart exch def
(\psk@yStart) length 0 gt {\psk@yStart\space }{ yP } ifelse /yStart exch def
(\psk@xEnd) length 0 gt { \psk@xEnd\space }{ xMax } ifelse /xEnd exch def
(\psk@yEnd) length 0 gt { \psk@yEnd\space }{ yMax } ifelse /yEnd exch def
n {
m -2 roll
2 copy /yVal exch def /xVal exch def
xVal xP ge
yVal yP ge and
xVal xEnd le and
yVal yEnd le and
xVal xStart ge and
yVal yStart ge and {
/xP xP \psk@xStep\space add def
/yP yP \psk@yStep\space add def
}{%
pop pop
/m m 2 sub def
} ifelse
} repeat
}{%
/ncount 1 def
(\psk@nEnd) length 0 gt { \psk@nEnd\space }{ m } ifelse
/nEnd exch def
n {
m -2 roll
\psk@nStep\space 1 gt { ncount \psk@nStart\space sub \psk@nStep\space mod 0 eq }{ true } ifelse
ncount nEnd le and
ncount \psk@nStart\space ge and not {
% ncount nEnd le and
% ncount \psk@nStart\space ge and not {
pop pop
/m m 2 sub def
} if
/ncount ncount 1 add def
} repeat
} ifelse
}>
%
% \psplot
% D.G. addition - Jun. 9, 1998 - Polar plots using the \psplot macro
% Code added according the way suggested by Ulrich Dirr
% For polar plots
\define@boolkey[psset]{pst-plot}[Pst@]{polarplot}[true]{}
\define@boolkey[psset]{pst-plot}[Pst@]{VarStep}[true]{}
\define@key[psset]{pst-plot}{PlotDerivative}{\def\psk@PlotDerivative{#1}}%
\define@key[psset]{pst-plot}{VarStepEpsilon}{\def\psk@VarStepEpsilon{#1}}%
\define@key[psset]{pst-plot}{method}{\def\psk@method{#1}}% adams - rk4
\def\@rkiv{rk4}% Runge-Kutta 4 method
\def\@varrkiv{varrkiv}% Runge-Kutta 4 with an adaptive step method
\def\@adams{adams}% Adams method
\def\@default{default}% Adams method
\psset[pst-plot]{VarStep=false,PlotDerivative=none,VarStepEpsilon=default,polarplot=false,method={}}
%
\def\psplotinit#1{\xdef\psplot@init{#1 }}
\def\psplot@init{}
%
\def\psplot{\def\pst@par{}\pst@object{psplot}}
\def\psplot@i#1#2{\@ifnextchar[{\psplot@x{#1}{#2}}{\psplot@x{#1}{#2}[]}}
\def\psplot@x#1#2[#3]#4{%
\pst@killglue%
\begingroup%
\use@par%
\@nameuse{beginplot@\psplotstyle}%
\ifPst@polarplot%
\addto@pscode{
\psplot@init
#3
/x #1 def
/x1 #2 def
/dx x1 x sub \psk@plotpoints div def
/F@pstplot \ifPst@algebraic (#4)
\ifx\psk@PlotDerivative\@none\else
\psk@PlotDerivative\space { (x) tx@Derive begin Derive end } repeat
\fi\space
tx@AlgToPs begin AlgToPs end cvx
\else { #4 } \fi def
\ifPst@VarStep
/StillZero 0 def /LastNonZeroStep dx def
/F2@pstplot tx@Derive begin (#4) (x) Derive (x) Derive end
\ifx\psk@PlotDerivative\@none\else
\psk@PlotDerivative\space { (x) tx@Derive begin Derive end } repeat
\fi\space
tx@AlgToPs begin AlgToPs end cvx def
%% computation of the tolerance defined by plotpoints
/epsilon12 \ifx\psk@VarStepEpsilon\@default tx@Derive begin F2@pstplot end dx 3 exp abs mul abs
\else\psk@VarStepEpsilon\space 12 mul \fi def
/ComputeStep {
dup 1e-4 lt
{ pop StillZero 2 ge { LastNonZeroStep 2 mul } { LastNonZeroStep } ifelse /StillZero StillZero 1 add def }
{ epsilon12 exch div 1 3 div exp /StillZero 0 def }
ifelse } bind def
\fi
/xy {% Adapted from \parametricplot@i
F@pstplot x \ifPst@algebraic RadtoDeg \fi PtoC
% #4 dup x cos mul exch x sin mul
\pst@number\psyunit mul exch
\pst@number\psxunit mul exch
} def}%
\else% polarplot
\addto@pscode{
\psplot@init
#3
/x #1 def
/x1 #2 def
/dx x1 x sub \psk@plotpoints div def
/F@pstplot \ifPst@algebraic (#4)
\ifx\psk@PlotDerivative\@none\else
\psk@PlotDerivative\space { (x) tx@Derive begin Derive end } repeat
\fi\space
tx@AlgToPs begin AlgToPs end cvx
\else { #4 } \fi def
\ifPst@VarStep
/StillZero 0 def /LastNonZeroStep dx def
/F2@pstplot tx@Derive begin (#4) (x) Derive (x) Derive end
\ifx\psk@PlotDerivative\@none\else
\psk@PlotDerivative\space { (x) tx@Derive begin Derive end } repeat
\fi\space
tx@AlgToPs begin AlgToPs end cvx def
%% computation of the tolerance defined by plotpoints
/epsilon12 \ifx\psk@VarStepEpsilon\@default tx@Derive begin F2@pstplot end dx 3 exp abs mul abs
\else\psk@VarStepEpsilon\space 12 mul \fi def
/ComputeStep {
dup 1e-4 lt
{ pop StillZero 2 ge { LastNonZeroStep 2 mul } { LastNonZeroStep } ifelse /StillZero StillZero 1 add def }
{ epsilon12 exch div 1 3 div exp /StillZero 0 def }
ifelse } bind def
\fi
/xy { x \pst@number\psxunit mul F@pstplot \pst@number\psyunit mul
% \ifPst@algebraic F@pstplot \else #4 \fi \pst@number\psyunit mul
} def}%
\fi%
\gdef\psplot@init{}%
\ifx\pslinestyle\psls@@symbol
\psplot@iii
\else
\@pstfalse%
\@nameuse{testqp@\psplotstyle}%
\if@pst\psplot@ii\else\psplot@iii\fi%
\fi%
\endgroup%
\ignorespaces}
%
\def\psplot@ii{%
\ifPst@VarStep%
\addto@pscode{%
mark xy \@nameuse{beginqp@\psplotstyle}
{ F2@pstplot abs ComputeStep
x 2 copy add dup x1 gt {pop x1} if /x exch def F2@pstplot abs ComputeStep
/x 3 -1 roll def 2 copy gt { exch } if pop
/x x 3 -1 roll add dup x1 gt {pop x1} if def
xy \@nameuse{doqp@\psplotstyle}
x x1 eq { exit } if} loop}%
\else
\pst@killglue%
\addto@pscode{
/ps@Exit false def
xy \@nameuse{beginqp@\psplotstyle}
\ifx\psk@method\@varrkiv\else\psk@plotpoints 1 sub \fi {
/x x dx add \ifx\psk@method\@varrkiv dup x1 gt { pop x1 } if \fi def
xy \@nameuse{doqp@\psplotstyle}
\ifx\psk@method\@varrkiv x x1 eq { exit } if \fi
}
ps@Exit { exit } if
\ifx\psk@method\@varrkiv loop \else repeat \fi
ps@Exit not {
/x x1 def
xy \@nameuse{doqp@\psplotstyle}
} if }%
\fi%
\@nameuse{endqp@\psplotstyle}}
%
\def\psplot@iii{%
\ifPst@VarStep%
\addto@pscode{
/n 2 def
mark
{ xy n 2 roll F2@pstplot abs
ComputeStep x 2 copy add dup x1 gt {pop x1} if
/x exch def F2@pstplot abs ComputeStep
/x 3 -1 roll def 2 copy gt { exch } if pop
/x x 3 -1 roll dup /LastNonZeroStep exch def add dup x1 gt {pop x1} if def /n n 2 add def
x x1 eq { exit } if } loop
xy
n 2 roll}%
\else\pst@killglue%
\addto@pscode{
mark
/n 2 def
\ifx\psk@method\@varrkiv\else\psk@plotpoints\fi {
xy
n 2 roll
/n n 2 add def
/x x dx add \ifx\psk@method\@varrkiv dup x1 gt { pop x1 } if \fi def
\ifx\psk@method\@varrkiv x x1 eq { exit } if \fi
} \ifx\psk@method\@varrkiv loop\else repeat \fi \space
/x x1 def
xy
2 copy \tx@UserCoor 2 array astore /SaveFinalState ED
n 2 roll}%
\fi%
\@nameuse{endplot@\psplotstyle}}
%
\def\psparametricplot{\pst@object{parametricplot}}% hv 2008-11-22
\def\parametricplot{\pst@object{parametricplot}}
\def\parametricplot@i#1#2{\@ifnextchar[{\parametricplot@x{#1}{#2}}{\parametricplot@x{#1}{#2}[]}}
\def\parametricplot@x#1#2[#3]{\@ifnextchar[{\parametricplot@xi{#1}{#2}[#3]}{\parametricplot@xi{#1}{#2}[#3][]}}
\def\parametricplot@xi#1#2[#3][#4]#5{%
\pst@killglue%
\begingroup%
\use@par%
\@nameuse{beginplot@\psplotstyle}%
\addto@pscode{%
#3 %prefix PS code
\psplot@init
/t #1 def
/t1 #2 def
/dt t1 t sub \psk@plotpoints div def
/F@pstplot \ifPst@algebraic (#5)
\ifx\psk@PlotDerivative\@none\else
\psk@PlotDerivative\space { (t) tx@Derive begin Derive end } repeat
\fi\space
tx@AlgToPs begin AlgToPs end cvx
\else { #5 } \fi def
\ifPst@VarStep
/StillZero 0 def /LastNonZeroStep dt def
/F2@pstplot tx@Derive begin (#5) (t) Derive (t) Derive end
\ifx\psk@PlotDerivative\@none\else
\psk@PlotDerivative\space { (t) tx@Derive begin Derive end } repeat
\fi\space
tx@AlgToPs begin AlgToPs end cvx def
%% computation of the tolerance defined by plotpoints
/epsilon12 \ifx\psk@VarStepEpsilon\@default
tx@Derive begin F2@pstplot end Pyth
dt 3 exp abs mul
\else\psk@VarStepEpsilon\space 12 mul \fi def
/ComputeStep {
dup 1e-4 lt
{ pop StillZero 2 ge { LastNonZeroStep 2 mul } { LastNonZeroStep } ifelse /StillZero StillZero 1 add def }
{ epsilon12 exch div 1 3 div exp /StillZero 0 def }
ifelse } bind def
\fi
/xy {
\ifPst@algebraic F@pstplot \else #5 \fi
\pst@number\psyunit mul exch
\pst@number\psxunit mul exch
} def
}%
\gdef\psplot@init{}%
\@pstfalse
\@nameuse{testqp@\psplotstyle}%
\if@pst\parametricplot@ii{#4}\else\parametricplot@iii{#4}\fi
\endgroup%
\ignorespaces}
%
\def\parametricplot@ii#1{% para is the post code
\ifPst@VarStep%
\addto@pscode{%
mark xy \@nameuse{beginqp@\psplotstyle}
{ F2@pstplot Pyth ComputeStep
t 2 copy add dup t1 gt {pop t1} if /t exch def F2@pstplot Pyth ComputeStep
/t 3 -1 roll def 2 copy gt { exch } if pop
/t t 3 -1 roll add dup t1 gt {pop t1} if def
xy \@nameuse{doqp@\psplotstyle}
t t1 eq { exit } if } loop}%
\else\pst@killglue%
\addto@pscode{%
/ps@Exit false def
xy \@nameuse{beginqp@\psplotstyle}
\psk@plotpoints 1 sub {
/t t dt add def
xy \@nameuse{doqp@\psplotstyle}
ps@Exit { exit } if
} repeat
ps@Exit not {
/t t1 def
xy \@nameuse{doqp@\psplotstyle}
} if
}%
\fi%
\addto@pscode{ #1 }%
\@nameuse{endqp@\psplotstyle}}
%
\def\parametricplot@iii#1{%
\ifPst@VarStep%
\addto@pscode{%
/n 2 def
mark
{ xy n 2 roll F2@pstplot Pyth
ComputeStep t 2 copy add dup t1 gt {pop t1} if
/t exch def F2@pstplot Pyth ComputeStep
/t 3 -1 roll def 2 copy gt { exch } if pop
/t t 3 -1 roll dup /LastNonZeroStep exch def add dup t1 gt {pop t1} if def /n n 2 add def
t t1 eq { exit } if } loop
xy n 2 roll}%
\else\pst@killglue%
\addto@pscode{
mark
/n 2 def
\psk@plotpoints {
xy
n 2 roll
/n n 2 add def
/t t dt add def
} repeat
/t t1 def
xy
n 2 roll}%
\fi%
\addto@pscode{ #1 }%
\@nameuse{endplot@\psplotstyle}}
%
%
\newdimen\psk@subticksize\psk@subticksize=\z@
\newdimen\pst@xticksizeA
\newdimen\pst@xticksizeB
\newdimen\pst@xticksizeC
\newdimen\pst@yticksizeA
\newdimen\pst@yticksizeB
\newdimen\pst@yticksizeC
%
\define@key[psset]{pst-plot}{ticks}[all]{\pst@expandafter\psset@@ticks{#1}\@nil\psk@ticks}
\def\psset@@ticks#1#2\@nil#3{%
\ifx#1a\let#3\z@\else% 0=a)ll
\ifx#1x\let#3\@ne\else% 1=x
\ifx#1y\let#3\tw@\else% 2=y
\ifx#1n\let#3\thr@@\else% 3=n)one
\@pstrickserr{Bad argument: `#1#2'}\@ehpa
\fi\fi\fi\fi}
\psset[pst-plot]{ticks=all}
%
\define@key[psset]{pst-plot}{labels}[all]{\pst@expandafter\psset@@ticks{#1}\@nil\psk@labels}% same as ticks
\psset[pst-plot]{labels=all}
%
\define@key[psset]{pst-plot}{Ox}[0]{\def\psk@Ox{#1}}
\psset[pst-plot]{Ox=0}
\define@key[psset]{pst-plot}{Dx}[1]{\def\psk@Dx{#1}}
\psset[pst-plot]{Dx=1}
\define@key[psset]{pst-plot}{dx}[0]{%
\pssetxlength\pst@dimg{#1}%
\edef\psk@dx{\number\pst@dimg}}
\psset[pst-plot]{dx=0}
%
\define@key[psset]{pst-plot}{Oy}[0]{\def\psk@Oy{#1}}
\psset[pst-plot]{Oy=0}
\define@key[psset]{pst-plot}{Dy}[1]{\def\psk@Dy{#1}}
\psset[pst-plot]{Dy=1}
\define@key[psset]{pst-plot}{dy}[0]{%
\pssetylength\pst@dimg{#1}%
\edef\psk@dy{\number\pst@dimg}}
\psset[pst-plot]{dy=0}
%
\define@boolkey[psset]{pst-plot}[]{showorigin}[true]{}
\psset[pst-plot]{showorigin}
%
\define@key[psset]{pst-plot}{labelFontSize}[{}]{\def\psk@labelFontSize{#1}}%
\define@boolkey[psset]{pst-plot}[Pst@]{mathLabel}[true]{%
\ifPst@mathLabel%
\def\pshlabel##1{$\psk@labelFontSize##1$}%
\def\psvlabel##1{$\psk@labelFontSize##1$}%
\else%
\def\pshlabel##1{\psk@labelFontSize##1}%
\def\psvlabel##1{\psk@labelFontSize##1}%
\fi}
\psset[pst-plot]{labelFontSize={},mathLabel}
%
\define@key[psset]{pst-plot}{decimalSeparator}[.]{\def\psk@decimalSeparator{#1}}%
\define@boolkey[psset]{pst-plot}[Pst@]{comma}[true]{%
\ifPst@comma\def\psk@decimalSeparator{,}\else\def\psk@decimalSeparator{.}\fi}
\define@boolkey[psset]{pst-plot}[Pst@]{xAxis}[true]{}
\define@boolkey[psset]{pst-plot}[Pst@]{yAxis}[true]{}
\define@boolkey[psset]{pst-plot}[Pst@]{xyAxes}[true]{%
\@nameuse{Pst@xAxis#1}\@nameuse{Pst@yAxis#1}}%
\psset[pst-plot]{decimalSeparator=.,xAxis,yAxis,comma=false,}%
%
\define@key[psset]{pst-plot}{xlabelPos}[b]{\pst@expandafter\psset@@xlabelPos{#1}\@nil}
\define@key[psset]{pst-plot}{ylabelPos}[l]{\pst@expandafter\psset@@ylabelPos{#1}\@nil}
\def\psset@@xlabelPos#1#2\@nil{%
\ifx#1t
\def\psk@xlabelPos{\tw@}% 2=top
\pst@xticksizeC=\pst@xticksizeB%
\else
\ifx#1a
\def\psk@xlabelPos{\@ne}% 1=axis
\pst@xticksizeC=\z@%
\else
\def\psk@xlabelPos{\z@}% 0=bottom
\pst@xticksizeC=\pst@xticksizeA%
\fi\fi}%
\def\psset@@ylabelPos#1#2\@nil{%
\ifx#1r
\def\psk@ylabelPos{\tw@}% 2=right
\pst@yticksizeC=\pst@yticksizeB%
\else
\ifx#1a
\def\psk@ylabelPos{\@ne}% 1=axis
\pst@yticksizeC=\z@%
\else
\def\psk@ylabelPos{\z@}% 0=left
\pst@yticksizeC=\pst@yticksizeA%
\fi\fi}
\psset[pst-plot]{xlabelPos=b, ylabelPos=l}%
%
\define@key[psset]{pst-plot}{xyDecimals}[{}]{\def\psk@xDecimals{#1}\def\psk@yDecimals{#1}}
\define@key[psset]{pst-plot}{xDecimals}[{}]{\def\psk@xDecimals{#1}}
\define@key[psset]{pst-plot}{yDecimals}[{}]{\def\psk@yDecimals{#1}}
\psset[pst-plot]{xyDecimals={}}%
%
\define@key[psset]{pst-plot}{xlogBase}[{}]{\def\psk@xlogBase{#1}}
\define@key[psset]{pst-plot}{ylogBase}[{}]{\def\psk@ylogBase{#1}}
\define@key[psset]{pst-plot}{xylogBase}[{}]{\def\psk@xlogBase{#1}\def\psk@ylogBase{#1}}%
\psset[pst-plot]{xylogBase={}}%
%
\define@key[psset]{pst-plot}{trigLabelBase}[0]{\pst@getint{#1}{\psk@trigLabelBase}}
\psset[pst-plot]{trigLabelBase=0}
%
\define@boolkey[psset]{pst-plot}[Pst@]{xtrigLabels}[true]{%
\ifPst@xtrigLabels
\def\pst@@@hlabel##1{\pshlabel{##1}}
\def\pshlabel##1{%
\ifnum\psk@trigLabelBase<2
\def\de@nominator{\@ne}\else\def\de@nominator{\psk@trigLabelBase}\fi
\def\pst@tempA{##1}
\pst@abs{\pst@tempA}\pst@cntm
\pst@mod{\pst@cntm}{\de@nominator}\pst@cntp % cntb=##1 modulo trigLabelBase
\ifnum\@ne>\pst@cntp % 1 > modulo -> then we have pi/x
\pst@cnto=\pst@cntm \divide\pst@cnto by \de@nominator
\ifPst@mathLabel%
$\psk@labelFontSize
\ifnum\pst@tempA<0 -\fi
\ifnum\pst@cnto=\@ne % #1 = trigLabelBase
\pi % print pi
\else
\the\pst@cnto\pi % print \pst@cnto/\de@nominator pi
\fi$%
\else%
\psk@labelFontSize%
\ifnum\pst@tempA<0 -\fi%
\ifnum\pst@cnto=\@ne% % #1 = trigLabelBase
$\pi$% % print pi
\else%
\the\pst@cnto$\pi$% % print \pst@cnto/\de@nominator pi
\fi%
\fi%
\else%
\ifPst@mathLabel%
$\psk@labelFontSize%
\ifnum\pst@cntp=\@ne% % < 1 pi?
\if\pst@cntm=\@ne%
\frac{\pi}{\de@nominator}% % pi/x
\else\ifnum\pst@tempA=-1 \frac{-\pi}{\de@nominator}%
\else \ifnum\pst@tempA=1 \frac{\pi}{\de@nominator}%
\else\frac{\pst@tempA\pi}{\de@nominator}% (x pi)/y
\fi\fi\fi%
\else%
\ifnum\pst@tempA=1 \frac{\pi}{\de@nominator}%
\else\ifnum\pst@tempA=\de@nominator \pi%
\else\frac{\pst@tempA\pi}{\de@nominator}%
\fi\fi\fi$%
\else%
\psk@labelFontSize%
\ifnum\pst@cntp=\@ne% % < 1 pi?
\if\pst@cntm=\@ne%
$\frac{\pi}{\de@nominator}$% % pi/x
\else\ifnum\pst@tempA=-1 $\frac{-\pi}{\de@nominator}$%
\else \ifnum\pst@tempA=1 $\frac{\pi}{\de@nominator}$%
\else$\frac{\pst@tempA\pi}{\de@nominator}$% (x pi)/y
\fi\fi\fi%
\else%
\ifnum\pst@tempA=1 $\frac{\pi}{\de@nominator}$%
\else\ifnum\pst@tempA=\de@nominator $\pi$%
\else$\frac{\pst@tempA\pi}{\de@nominator}$%
\fi\fi\fi%
\fi%
\fi%
}%
\else%
\def\pst@@@hlabel##1{%
\edef\@xyDecimals{\psk@xDecimals}%
% \ifnum\psk@ticks<\tw@ % ticks=all|x
\ifnum\psk@labels<\tw@ % labels=all|x
\ifx\psk@xlogBase\@empty%
\pshlabel{\psk@labelFontSize\expandafter\@LabelComma##1..\@nil\psk@xlabelFactor}%
\else%
\ifPst@mathLabel%
\pshlabel{\psk@labelFontSize\psk@xlogBase^{\expandafter\@stripDecimals##1..\@nil}}%
\else%
\pshlabel{\psk@labelFontSize\psk@xlogBase\textsuperscript{\expandafter\@stripDecimals##1..\@nil}}%
\fi
\fi%
\fi%
}%
\ifPst@mathLabel%
\def\pshlabel##1{$\psk@labelFontSize##1$}\else\def\pshlabel##1{\psk@labelFontSize##1}\fi%
\fi%
}%
%
\define@boolkey[psset]{pst-plot}[Pst@]{ytrigLabels}[true]{%
\ifPst@ytrigLabels
\def\pst@@@vlabel##1{\psvlabel{##1}}
\def\psvlabel##1{%
\ifnum\psk@trigLabelBase<2
\def\de@nominator{\@ne}\else\def\de@nominator{\psk@trigLabelBase}\fi
\def\pst@tempA{##1}
\pst@abs{\pst@tempA}\pst@cntm
\pst@mod{\pst@cntm}{\de@nominator}\pst@cntp % cntb=##1 modulo trigLabelBase
\ifnum\@ne>\pst@cntp % 1 > modulo -> then we have pi/x
\pst@cnto=\pst@cntm \divide\pst@cnto by \de@nominator
\ifPst@mathLabel%
$\psk@labelFontSize
\ifnum\pst@tempA<0 -\fi
\ifnum\pst@cnto=\@ne % #1 = trigLabelBase
\pi % print pi
\else
\the\pst@cnto\pi % print \pst@cnto/\de@nominator pi
\fi$%
\else%
\psk@labelFontSize%
\ifnum\pst@tempA<0 -\fi%
\ifnum\pst@cnto=\@ne% % #1 = trigLabelBase
$\pi$% % print pi
\else%
\the\pst@cnto$\pi$% % print \pst@cnto/\de@nominator pi
\fi%
\fi%
\else%
\ifPst@mathLabel%
$\psk@labelFontSize%
\ifnum\pst@cntp=\@ne% % < 1 pi?
\if\pst@cntm=\@ne%
\frac{\pi}{\de@nominator}% % pi/x
\else\ifnum\pst@tempA=-1 \frac{-\pi}{\de@nominator}%
\else \ifnum\pst@tempA=1 \frac{\pi}{\de@nominator}%
\else\frac{\pst@tempA\pi}{\de@nominator}% (x pi)/y
\fi\fi\fi%
\else%
\ifnum\pst@tempA=1 \frac{\pi}{\de@nominator}%
\else\ifnum\pst@tempA=\de@nominator \pi%
\else\frac{\pst@tempA\pi}{\de@nominator}%
\fi\fi\fi$%
\else%
\psk@labelFontSize%
\ifnum\pst@cntp=\@ne% % < 1 pi?
\if\pst@cntm=\@ne%
$\frac{\pi}{\de@nominator}$% % pi/x
\else\ifnum\pst@tempA=-1 $\frac{-\pi}{\de@nominator}$%
\else \ifnum\pst@tempA=1 $\frac{\pi}{\de@nominator}$%
\else$\frac{\pst@tempA\pi}{\de@nominator}$% (x pi)/y
\fi\fi\fi%
\else%
\ifnum\pst@tempA=1 $\frac{\pi}{\de@nominator}$%
\else\ifnum\pst@tempA=\de@nominator $\pi$%
\else$\frac{\pst@tempA\pi}{\de@nominator}$%
\fi\fi\fi%
\fi%
\fi%
}%
\else
\def\pst@@@vlabel##1{%
\edef\@xyDecimals{\psk@yDecimals}%
% \ifodd\psk@ticks % ticks=all||y (0,2)
\ifodd\psk@labels % labelss=all||y (0,2)
\else%
\ifx\psk@ylogBase\@empty%
\psvlabel{\expandafter\@LabelComma##1..\@nil\psk@ylabelFactor}%
\else%
\ifPst@mathLabel%
\psvlabel{\psk@ylogBase^{\expandafter\@stripDecimals##1..\@nil }}%
\else
\psvlabel{\psk@ylogBase\textsuperscript{\expandafter\@stripDecimals##1..\@nil }}%
\fi%
\fi%
\fi%
}%
\fi}%
\define@boolkey[psset]{pst-plot}[Pst@]{trigLabels}[true]{%
\ifPst@trigLabels\psset[pst-plot]{xtrigLabels,ytrigLabels=false}
\else \psset[pst-plot]{xtrigLabels=false,ytrigLabels=false}%
\fi}
\psset[pst-plot]{trigLabels=false}
%
%logLines=all|x|y|none (0,1,2,3)
\def\psk@logLines{3}
\define@key[psset]{pst-plot}{logLines}[none]{\pst@expandafter\psset@@logLines#1\@nil\psk@logLines}
\def\psset@@logLines#1#2\@nil#3{%
\ifx#1a
\let#3\z@
\Pst@maxxTickstrue\Pst@maxyTickstrue
\set@xticksize{0 4pt}\set@yticksize{0 4pt}%
\def\psk@xsubticksize{1}\def\psk@ysubticksize{1}%
\else
\ifx#1x
\let#3\@ne
\Pst@maxxTickstrue\Pst@maxyTicksfalse
\set@xticksize{0 4pt}\def\psk@xsubticksize{1}%
\else
\ifx#1y
\let#3\tw@
\Pst@maxyTickstrue\Pst@maxxTicksfalse
\set@yticksize{0 4pt}\def\psk@ysubticksize{1}%
\else
\ifx#1n\let#3\thr@@\else
\@pstrickserr{Bad argument: `#1#2'}\@ehpa
\fi\fi\fi\fi}
\psset[pst-plot]{logLines=none}%
%
\define@key[psset]{pst-plot}{ylabelFactor}[\relax]{\def\psk@ylabelFactor{#1}}
\define@key[psset]{pst-plot}{xlabelFactor}[\relax]{\def\psk@xlabelFactor{#1}}
\define@boolkey[psset]{pst-plot}[Pst@]{showOriginTick}[true]{}%
\psset[pst-plot]{xlabelFactor=\relax,ylabelFactor=\relax,showOriginTick}%
%% #1 : optional arguments passed to psline
%% #2 : rotating angle
%% #3 : x value
%% #4 : label
\def\psxTick{\pst@object{psxTick}}% idea by Martin Chicoine
\def\psxTick@i{\@ifnextchar({\psxTick@ii{0}}\psxTick@ii}
\def\psxTick@ii#1(#2)#3{{
\pst@killglue
\addbefore@par{arrows=-,linewidth=\psk@xtickwidth\pslinewidth}
\use@par
\psline(#2, \pst@xticksizeB)(#2,\pst@xticksizeA)
\rput[t]{#1}(! \psk@origin
#2 \pst@number\psxlabelsep \pst@number\pst@xticksizeB add
\pst@number\psyunit div neg ){\pshlabel{#3\vphantom{1}}}}\ignorespaces}
%
%% #1 : optional arguments passed to psline
%% #2 : rotating angle
%% #3 : y value
%% #4 : label
\def\psyTick{\pst@object{psyTick}}% idea by Martin Chicoine
\def\psyTick@i{\@ifnextchar({\psyTick@ii{0}}\psyTick@ii}
\def\psyTick@ii#1(#2)#3{{
\pst@killglue
\addbefore@par{arrows=-,linewidth=\psk@ytickwidth\pslinewidth}
\use@par
\psline(\pst@yticksizeB,#2)(\pst@yticksizeA,#2)
\rput[r]{#1}(! \psk@origin
\pst@number\pst@yticksizeB \pst@number\psylabelsep add
\pst@number\psxunit div neg #2){\psvlabel{#3}}}\ignorespaces}
%
\def\psCoordinates{\pst@object{psCoordinates}}
\def\psCoordinates@i(#1){%
\pst@killglue%
\begin@OpenObj
\SpecialCoor%
\psline(#1|0,0)(#1)\psline(#1)(0,0|#1)\psdot(#1)%
\end@OpenObj%
\ignorespaces%
}
%
\def\stripDecimals#1{\expandafter\@stripDecimals#1..\@nil}
%% #1 integer
%% #2 decimals
%% #3 dot
\def\@stripDecimals#1.#2.#3\@nil{%
\def\pst@dummy{#1}%
\ifx\pst@dummy\@empty\the\@zero\else#1\fi% the integer part
}
%
\newcount\@digitcounter\@digitcounter=0\relax
\def\@inc@digitcounter{\global\advance\@digitcounter by 1\relax}
\def\@get@digitcounter{\the\@digitcounter\relax}
\def\@Reset@digitcounter{\global\@digitcounter=0\relax}
\def\@zeroFill{%
\ifnum \@xyDecimals>\@get@digitcounter
\bgroup
0\@inc@digitcounter\@zeroFill
\egroup%
\fi%
}
% #1 the value, maybe empty
%
\def\@process@digits#1#2;{%
\ifx *#1\@zeroFill\else#1\@inc@digitcounter
\ifnum\@xyDecimals>\@get@digitcounter\expandafter\@process@digits#2;\fi\fi%
}
%
\def\@writeDecimals#1{%
\ifx\@xyDecimals\@empty% take value as is
\def\@tempa{#1}% write only if not empty
\ifx\@tempa\@empty% write nothing
\else\ifmmode\expandafter\mathord\expandafter{\psk@decimalSeparator}\else\psk@decimalSeparator\fi#1\fi%
% \else\psk@decimalSeparator\fi%
\else% write only \xy@decimals
\ifnum\@xyDecimals>\@zero
\ifmmode\expandafter\mathord\expandafter{\psk@decimalSeparator}\else\psk@decimalSeparator\fi%
% \psk@decimalSeparator
\@Reset@digitcounter
\expandafter\@process@digits#1*;
\fi%
\fi%
}
%% #1 integer
%% #2 decimals
%% #3 dot
\def\@LabelComma#1.#2.#3\@nil{%
\def\pst@tempA{#1}%
\ifx\pst@tempA\@empty\the\@zero\else#1\fi% the integer part
\def\pst@tempA{#2}%
\ifx\pst@tempA\@empty\@writeDecimals{}\else\@writeDecimals{#2}\fi}
%
%
\def\set@xticksize#1{%
\pst@expandafter\pst@getydimdim{#1} {} {}\@nil% y-unit!!
\ifdim\pst@dimm>\pst@dimn% % first > second value
\pst@xticksizeA=\the\pst@dimn%
\pst@xticksizeB=\the\pst@dimm%
\else%
\pst@xticksizeA=\the\pst@dimm%
\pst@xticksizeB=\the\pst@dimn% first > second value
\fi%
\edef\psk@xticksize{\pst@number\pst@xticksizeA \pst@number\pst@xticksizeB}%
\ifnum\psk@xlabelPos<\z@\relax % top
\pst@xticksizeC=\pst@dimn%
\else%
\pst@xticksizeC=\pst@dimm% bottom
\fi%
}
\def\set@yticksize#1{%
\pst@expandafter\pst@getxdimdim{#1} {} {}\@nil% x-unit!
\ifdim\pst@dimm>\pst@dimn\relax% % first > second value
\pst@yticksizeA=\the\pst@dimn%
\pst@yticksizeB=\the\pst@dimm%
\else%
\pst@yticksizeA=\the\pst@dimm%
\pst@yticksizeB=\the\pst@dimn% first > second value
\fi%
\edef\psk@yticksize{\pst@number\pst@yticksizeA \pst@number\pst@yticksizeB}%
\ifnum\psk@ylabelPos<\z@ % right
\pst@yticksizeC=\pst@dimn%
\else%
\pst@yticksizeC=\pst@dimo% left
\fi%
}
\newif\ifPst@maxxTicks
\newif\ifPst@maxyTicks
\define@key[psset]{pst-plot}{ticksize}[-4pt 4pt]{%
\def\pst@tempA{max}%
\def\pst@tempB{#1}%
\ifx\pst@tempA\pst@tempB%
\Pst@maxxTickstrue\Pst@maxyTickstrue%
\set@xticksize{0 4pt}\set@yticksize{0 4pt}%
\else%
\Pst@maxxTicksfalse\Pst@maxyTicksfalse%
\set@xticksize{#1}\set@yticksize{#1}%
\fi}
\define@key[psset]{pst-plot}{xticksize}{%
\def\pst@tempA{max}%
\def\pst@tempB{#1}%
\ifx\pst@tempA\pst@tempB
\Pst@maxxTickstrue\set@xticksize{0 4pt}%
\else\set@xticksize{#1}\Pst@maxxTicksfalse\fi}
\define@key[psset]{pst-plot}{yticksize}{%
\def\pst@tempA{max}%
\def\pst@tempB{#1}%
\ifx\pst@tempA\pst@tempB%
\Pst@maxyTickstrue\set@yticksize{0 4pt}%
\else\set@yticksize{#1}\Pst@maxyTicksfalse\fi}%
\psset[pst-plot]{ticksize=-4pt 4pt}
%
% full= 0, top=1, bottom=-1, inner=2 => -1 0 1 2
\define@key[psset]{pst-plot}{tickstyle}[full]{\pst@expandafter\psset@@tickstyle{#1}\@nil}
\def\psset@@tickstyle#1#2\@nil{%
\ifx#1f\let\psk@tickstyle\z@\else % 0=f)ull
\ifx#1t\let\psk@tickstyle\@ne % 1=t)op
\edef\psk@xticksize{0 \pst@number\pst@xticksizeB}%
\edef\psk@yticksize{0 \pst@number\pst@yticksizeB}%
\else\ifx#1b\let\psk@tickstyle\m@ne % -1=b)ottom
\edef\psk@xticksize{\pst@number\pst@xticksizeA 0}%
\edef\psk@yticksize{\pst@number\pst@yticksizeA 0}%
\else\ifx#1i\let\psk@tickstyle\tw@% % 2=i)nner (for frame)
\else\@pstrickserr{Bad tick style: `#1#2'}\@ehpa
\fi\fi\fi\fi}
\psset[pst-plot]{tickstyle=full}
%
\define@key[psset]{pst-plot}{subticks}[1]{\def\psk@xsubticks{#1}\def\psk@ysubticks{#1}}
\define@key[psset]{pst-plot}{xsubticks}[1]{\def\psk@xsubticks{#1}}
\define@key[psset]{pst-plot}{ysubticks}[1]{\def\psk@ysubticks{#1}}
%
\define@key[psset]{pst-plot}{subticksize}[0.75]{\def\psk@xsubticksize{#1}\def\psk@ysubticksize{#1}}
\define@key[psset]{pst-plot}{xsubticksize}[0.75]{\def\psk@xsubticksize{#1}}
\define@key[psset]{pst-plot}{ysubticksize}[0.75]{\def\psk@ysubticksize{#1}}
%
\define@key[psset]{pst-plot}{tickwidth}[0.5\pslinewidth]{%
\pst@getlength{#1}\psk@xtickwidth%
\pst@getlength{#1}\psk@ytickwidth}
\define@key[psset]{pst-plot}{xtickwidth}[0.5\pslinewidth]{\pst@getlength{#1}\psk@xtickwidth}
\define@key[psset]{pst-plot}{ytickwidth}[0.5\pslinewidth]{\pst@getlength{#1}\psk@ytickwidth}
\define@key[psset]{pst-plot}{subtickwidth}[0.25\pslinewidth]{%
\pst@getlength{#1}\psk@xsubtickwidth%
\pst@getlength{#1}\psk@ysubtickwidth}
\define@key[psset]{pst-plot}{xsubtickwidth}[0.25\pslinewidth]{\pst@getlength{#1}\psk@xsubtickwidth}
\define@key[psset]{pst-plot}{ysubtickwidth}[0.25\pslinewidth]{\pst@getlength{#1}\psk@ysubtickwidth}
%
\define@key[psset]{pst-plot}{labelOffset}[0pt]{%
\pst@getlength{#1}\psk@xlabelOffset%
\pst@getlength{#1}\psk@ylabelOffset}
\define@key[psset]{pst-plot}{xlabelOffset}[0pt]{\pst@getlength{#1}\psk@xlabelOffset}
\define@key[psset]{pst-plot}{ylabelOffset}[0pt]{\pst@getlength{#1}\psk@ylabelOffset}
%
\define@key[psset]{pst-plot}{tickcolor}[black]{%
\pst@getcolor{#1}\psk@xtickcolor%
\pst@getcolor{#1}\psk@ytickcolor}
\define@key[psset]{pst-plot}{xtickcolor}[black]{\pst@getcolor{#1}\psk@xtickcolor}
\define@key[psset]{pst-plot}{ytickcolor}[black]{\pst@getcolor{#1}\psk@ytickcolor}
\define@key[psset]{pst-plot}{subtickcolor}[gray]{%
\pst@getcolor{#1}\psk@xsubtickcolor%
\pst@getcolor{#1}\psk@ysubtickcolor}
\define@key[psset]{pst-plot}{xsubtickcolor}[gray]{\pst@getcolor{#1}\psk@xsubtickcolor}
\define@key[psset]{pst-plot}{ysubtickcolor}[gray]{\pst@getcolor{#1}\psk@ysubtickcolor}
%
\define@key[psset]{pst-plot}{xticklinestyle}[solid]{%
\@ifundefined{psls@#1}%
{\@pstrickserr{Line style `#1' not defined}\@eha}%
{\def\psxticklinestyle{#1}}}
\define@key[psset]{pst-plot}{xsubticklinestyle}[solid]{%
\@ifundefined{psls@#1}%
{\@pstrickserr{Line style `#1' not defined}\@eha}%
{\def\psxsubticklinestyle{#1}}}
\define@key[psset]{pst-plot}{yticklinestyle}[solid]{%
\@ifundefined{psls@#1}%
{\@pstrickserr{Line style `#1' not defined}\@eha}%
{\def\psyticklinestyle{#1}}}
\define@key[psset]{pst-plot}{ysubticklinestyle}[solid]{%
\@ifundefined{psls@#1}%
{\@pstrickserr{Line style `#1' not defined}\@eha}%
{\def\psysubticklinestyle{#1}}}
\define@key[psset]{pst-plot}{ticklinestyle}[solid]{%
\@ifundefined{psls@#1}%
{\@pstrickserr{Line style `#1' not defined}\@eha}%
{\def\psxticklinestyle{#1}\def\psyticklinestyle{#1}}}
\define@key[psset]{pst-plot}{subticklinestyle}[solid]{%
\@ifundefined{psls@#1}%
{\@pstrickserr{Line style `#1' not defined}\@eha}%
{\def\psxsubticklinestyle{#1}\def\psysubticklinestyle{#1}}}
%
\psset[pst-plot]{subticksize=0.75,subticks=1,tickcolor=black,ticklinestyle=solid,
subticklinestyle=solid,subtickcolor=gray,tickwidth=0.5\pslinewidth,
subtickwidth=0.25\pslinewidth,labelOffset=0pt}
%
\define@key[psset]{pst-plot}{nStep}[1]{\def\psk@nStep{#1}}
\define@key[psset]{pst-plot}{nStart}[0]{\def\psk@nStart{#1}}
\define@key[psset]{pst-plot}{nEnd}[{}]{\def\psk@nEnd{#1}}
\define@key[psset]{pst-plot}{xStep}[0]{\def\psk@xStep{#1}}
\define@key[psset]{pst-plot}{yStep}[0]{\def\psk@yStep{#1}}
%
\define@key[psset]{pst-plot}{xStart}[{}]{\def\psk@xStart{#1}}
\define@key[psset]{pst-plot}{xEnd}[{}]{\def\psk@xEnd{#1}}
\define@key[psset]{pst-plot}{yStart}[{}]{\def\psk@yStart{#1}}
\define@key[psset]{pst-plot}{yEnd}[{}]{\def\psk@yEnd{#1}}
%
\define@key[psset]{pst-plot}{plotNoX}[1]{\def\psk@plotNoX{#1}}
\define@key[psset]{pst-plot}{plotNo}[1]{\def\psk@plotNo{#1}}
\define@key[psset]{pst-plot}{plotNoMax}[1]{\def\psk@plotNoMax{#1}}
%
\psset[pst-plot]{nStep=1, nStart=0, nEnd={},%
xStep=0, yStep=0, xStart={}, xEnd={}, yStart={}, yEnd={}, comma=false,%
plotNo=1,plotNoMax=1,plotNoX=1}%
%
\def\pstScalePoints(#1,#2)#3#4{%
% xScale | yScale | xOperator | yOperator
% the operators can be any Postscript code
\def\pstXScale{#1 }%
\def\pstYScale{#2 }%
\def\pstXPSScale{#3 }%
\def\pstYPSScale{#4 }%
\pst@def{ScalePoints}<%
/y ED /x ED
/yPSOp { #4 y mul #2 mul } def
/xPSOp { #3 x mul #1 mul } def
counttomark dup dup cvi eq not { exch pop } if
/m exch def /n m 2 div cvi def
n {
yPSOp m 1 roll xPSOp m 1 roll
/m m 2 sub
def } repeat>%
}
\pstScalePoints(1,1){}{}% the default -> no special operators
%
\def\psxs@none{\let\psk@arrowA\@empty\let\psk@arrowB\@empty\psxs@axes}
%
\def\psxs@axes{{%
\ifPst@xAxis\psxs@@axes\pst@dima\pst@dimb\pst@dimc\pst@dimd{}{x}\fi%
\ifPst@yAxis\psxs@@axes\pst@dima\pst@dimb\pst@dimc\pst@dimd{exch}{y}\fi%
}}
%
\def\psaxes{\pst@object{psaxes}}
\def\psaxes@i{\pst@getarrows\psaxes@ii}
\def\psaxes@ii(#1){\@ifnextchar({\psaxes@iii(#1)}{\psaxes@iv(0,0)(0,0)(#1)}}
\def\psaxes@iii(#1)(#2){\@ifnextchar({\psaxes@iv(#1)(#2)}{\psaxes@iv(#1)(#1)(#2)}}
\def\psaxes@iv(#1)(#2)(#3){\@ifnextchar[{\psaxes@v(#1)(#2)(#3)}{\psaxes@vii(#1)(#2)(#3)}}%
\def\psaxes@v(#1)(#2)(#3)[#4]{\@ifnextchar[{\psaxes@vi(#1)(#2)(#3)[#4]}{\psaxes@vi(#1)(#2)(#3)[#4][]}}%
\def\psaxes@vi(#1)(#2)(#3)[#4,#5][#6,#7]{%
\psaxes@vii(#1)(#2)(#3)%
\begingroup%
\use@par%
\uput{\psxlabelsep}[#5](#3|#1){#4}\uput{\psylabelsep}[#7](#1|#3){#6}%
\endgroup%
\ignorespaces}
%
\def\psaxes@vii(#1,#2)(#3,#4)(#5,#6){%
\pst@killglue%
\begingroup%
\pssetxlength\pst@dimc{#5}% ur-x
\pssetylength\pst@dimd{#6}% ur-y
\ifdim\pst@dimc<\z@\ifdim\pst@dimd<\z@\relax% axes show to left and down
\addbefore@par{xlabelPos=top,ylabelPos=right}\fi\fi%
\setbox\pst@hbox=\hbox\bgroup%
\use@par% now the same with an optional unit=... in par
\pssetxlength\pst@dimg{#1}% o-x
\pssetylength\pst@dimh{#2}% o-y
\pssetxlength\pst@dima{#3}% ll-x
\pssetylength\pst@dimb{#4}% ll-y
\pssetxlength\pst@dimc{#5}% ur-x
\pssetylength\pst@dimd{#6}% ur-y
% If minimum values are negative in log mode, we modify Ox
% (respectively Oy) if this was not done by the user
% X axis labels (\psk@log = 0 or 1)
%
% Whole thing will be translated to origin:
\advance\pst@dima by -\pst@dimg% Dist. from ll-x to o-x
\advance\pst@dimb by -\pst@dimh% Dist. from ll-y to o-y
\advance\pst@dimc by -\pst@dimg% Dist. from ur-x to o-x
\advance\pst@dimd by -\pst@dimh% Dist. from ur-y to o-y
% Make lines/arrows or frame:
\@nameuse{psxs@\psk@axesstyle}% \psxs@axes or \psxs@frame or \psxs@polar
\ifPst@yAxis%
\begingroup%
\ifdim\pst@dima=\z@\else\showoriginfalse\fi%
\ifnum\psk@dy=\z@%
\pst@dimg=\psk@Dy\psyunit%
\ifdim\pst@dimg<\p@\pst@cnta=\psk@Dy\edef\psk@Dy{-\the\pst@cnta}\fi% v.1.21
\edef\psk@dy{\number\pst@dimg}%
\fi%
% \ifPst@xAxis\else\showorigintrue\fi% 2009-10-21
\pst@vlabels{\pst@dimd}{\psk@arrowB}{#3}{#5}%
\ifPst@xAxis\ifdim\pst@dima<\z@\showoriginfalse\fi\fi% no 0 when x- axis is crossing
\pst@vlabels{\pst@dimb}{\psk@arrowA}{#3}{#5}%
\endgroup%
\fi%
\ifPst@xAxis%
\begingroup%
\ifdim\pst@dimb=\z@\else\showoriginfalse\fi%
\ifnum\psk@dx=\z@%
\pst@dimg=\psk@Dx\psxunit%
\ifdim\pst@dimg<\p@\pst@cnta=\psk@Dx\edef\psk@Dx{-\the\pst@cnta}% v.1.21
\fi% v.1.21
\edef\psk@dx{\number\pst@dimg}%
\fi%
% \ifPst@yAxis\else\showorigintrue\fi% 2009-10-21
\pst@hlabels{\pst@dimc}{\psk@arrowB}{#4}{#6}%
\ifPst@yAxis\showoriginfalse\fi%
\pst@hlabels{\pst@dima}{\psk@arrowA}{#4}{#6}%
\endgroup%
\fi%
% Now close "\pst@hbox" (which is 0-dimensional), and put it at the origin.
\egroup%
\pssetxlength\pst@dimg{#1}%
\pssetylength\pst@dimh{#2}%
\leavevmode\psput@cartesian\pst@hbox%
\endgroup%
\ignorespaces%
}
%
\newif\ifis@yAxis%
%
\def\psxs@@axes#1#2#3#4#5#6{% llx,lly,urx,ury,exch,x|y,arrowA,arrowB
\pst@killglue%
\begin@SpecialObj%
\ifx#6x\relax% % x-axis?
\is@yAxisfalse%
\ifnum\psk@dx=\z@%
\pst@dimg=\psk@Dx\psxunit%
\def\psk@dx{\number\pst@dimg}%
\fi%
\else%
\is@yAxistrue%
\ifnum\psk@dy=\z@%
\pst@dimg=\psk@Dy\psyunit%
\def\psk@dy{\number\pst@dimg}%
\fi%
\fi%
\let\pst@linetype\pst@arrowtype%
\def\pst@axes{axes}%
\pst@addarrowdef%
\addto@pscode{
/showOrigin \ifPst@showOriginTick true \else false \fi def % ticks for 0/0 ?
\ifis@yAxis 0 \pst@number#4 \else \pst@number#3 0 \fi
\ifis@yAxis 0 \pst@number#2 \else \pst@number#1 0 \fi
ArrowA
CP 4 2 roll
ArrowB
2 copy
/yEnd exch def /xEnd exch def
\ifx\psk@axesstyle\@none
pop pop % axesstyle = none (only ticks) or frame (already drawn)
\else
L % the line with arrows
\@nameuse{psls@\pslinestyle} % linestyle for the axes
stroke % draw the main line
\fi
/yStart exch def
/xStart exch def
% \psk@ticks: all=0; x=1; y=2; none=3
\number\psk@ticks\space dup 2 mod 0 eq \ifis@yAxis true \else false \fi and
exch 2 lt \ifis@yAxis false \else true \fi and or {
/viceversa
\ifis@yAxis\pst@number#2 \pst@number#4 \else\pst@number#1 \pst@number#3 \fi
gt { true }{ false } ifelse def % other way round
/epsilon 0.01 def % rounding errors
/minTickline \ifis@yAxis \pst@number#1 \else \pst@number#2 \fi def
/maxTickline \ifis@yAxis \pst@number#3 \else \pst@number#4 \fi def
/dT \ifis@yAxis \psk@dy \else \psk@dx \fi\space abs % added abs 2006-07-07
65536 div viceversa { neg } if def % div to get pt instead of sp
/DT \ifis@yAxis \psk@Dy \else \psk@Dx \fi\space abs viceversa { neg } if def
/subTNo \ifis@yAxis\psk@ysubticks\else\psk@xsubticks\fi \space def
subTNo 0 gt { /dsubT dT subTNo div def}{ /dsubT 0 def } ifelse % deltaSubTick
\ifis@yAxis \psk@yticksize \else \psk@xticksize \fi
/tickend exch def /tickstart exch def
/Twidth \ifis@yAxis \psk@ytickwidth \else \psk@xtickwidth \fi\space def
/subTwidth \ifis@yAxis \psk@ysubtickwidth \else \psk@xsubtickwidth \fi\space def
/STsize \ifis@yAxis \psk@ysubticksize \else \psk@xsubticksize \fi\space def
/TColor {
\ifis@yAxis\pst@usecolor\psk@ytickcolor
\else\pst@usecolor\psk@xtickcolor\fi\space } def
/subTColor {
\ifis@yAxis\pst@usecolor\psk@ysubtickcolor
\else\pst@usecolor\psk@xsubtickcolor\fi\space } def
/MinValue { \ifis@yAxis yStart \else xStart \fi
\ifx\psk@arrowA\@empty\else
\psk@arrowsize\space CLW mul add \psk@arrowlength\space mul
viceversa { sub epsilon add }{ add epsilon sub } ifelse \fi } def
/MaxValue { \ifis@yAxis yEnd \else xEnd \fi
\ifx\psk@arrowB\@empty\else
\psk@arrowsize\space CLW mul add \psk@arrowlength\space mul
viceversa { add epsilon sub }{ sub epsilon add } ifelse \fi } def
/logLines {
\ifnum\psk@logLines=\z@ true \else % all axes
\ifnum\psk@logLines<\tw@ % x axis
\ifis@yAxis false \else true \fi % do we have x or y axis
\else
\ifnum\psk@logLines<\thr@@ % y axis
\ifis@yAxis true \else false \fi % do we have x or y axis
\else
false % no one
\fi
\fi
\fi
} def
/LSstroke { % set linestyle and stroke
\ifis@yAxis\@nameuse{psls@\psyticklinestyle}
\else\@nameuse{psls@\psxticklinestyle}\fi stroke} def
/subLSstroke { % set sublinestyle and stroke
\ifis@yAxis\@nameuse{psls@\psysubticklinestyle}
\else\@nameuse{psls@\psxsubticklinestyle}\fi stroke} def
%\iffalse
% start ticks ---------------------------------------------------------
% showOrigin { 0 }{ dT } ifelse
0 dT MaxValue 1 add { % the positive part of the axes, step unit is pt
/cntTick exch def % the index
logLines { % log lines?
gsave
1 1 DT {
1 sub /OffSet exch def
% 1 10 subTNo div 9.99 { % do not write a line for 1
10 subTNo 1 add div dup 10 { % do not write a line for 1
/dx exch def % save index
% /x cntTick dT dx log mul add def %
/x dx log OffSet add \ifis@yAxis\pst@number\psyunit\else\pst@number\psxunit\fi\space mul cntTick add def %
x abs MaxValue abs le { % out of range?
\ifis@yAxis
\ifPst@maxyTicks true \else false \fi
\else
\ifPst@maxxTicks true \else false \fi
\fi
{ x minTickline #5 moveto
x maxTickline #5 lineto }
{ x tickstart STsize mul #5 moveto
x tickend STsize mul #5 lineto } ifelse
} if
} for } for
subTwidth SLW subTColor % set line width and subtick color
subLSstroke
grestore % restore main tick status
stroke
/dsubT 0 def % no other subticks
} if % end logLines
dsubT abs 0 gt { % du we have subticks?
gsave % save graphic state
% start subticks ----------------------------------------------------------
/cntsubTick cntTick dsubT add def
subTNo 1 sub {
cntsubTick abs MaxValue abs le { % out of range?
\ifis@yAxis
\ifPst@maxyTicks true \else false \fi
\else
\ifPst@maxxTicks true \else false \fi
\fi
{ cntsubTick minTickline STsize mul #5 moveto
cntsubTick maxTickline STsize mul #5 lineto }
{ cntsubTick tickstart STsize mul #5 moveto
cntsubTick tickend STsize mul #5 lineto } ifelse
}{ exit } ifelse
/cntsubTick cntsubTick dsubT add def
} repeat
subTwidth SLW subTColor % set line width and subtick color
subLSstroke
% end subticks ----------------------------------------------------------
grestore % restore tick status
} if
showOrigin {
gsave
\ifis@yAxis
\ifPst@maxyTicks true \else false \fi
\else
\ifPst@maxxTicks true \else false \fi
\fi
{ cntTick minTickline #5 moveto
cntTick maxTickline #5 lineto }
{ cntTick tickstart #5 moveto % line begin main Tick
cntTick tickend #5 lineto } ifelse % lineto tick end
Twidth SLW TColor % set line width and tick color
LSstroke
grestore
}{ /showOrigin true def } ifelse % only for the very first tick valid
} for
% end ticks ----------------------------------------------------------
%\fi
%\iffalse
% ================================================ % the other side
/showOrigin \ifPst@showOriginTick true \else false \fi def % ticks for 0/0 ?
/dT dT neg def % the other side of the axis
/dsubT dsubT neg def
% start ticks ----------------------------------------------------------
% showOrigin { 0 }{ dT } ifelse
0 dT MinValue epsilon viceversa { add }{ sub } ifelse {
/cntTick exch def
logLines { % log lines?
gsave
1 1 DT cvi {
1 sub /OffSet exch def
10 subTNo 1 add div dup 10 { % do not write a line for 1
% 1 10 subTNo div 9.99 { % do not write a line for 1
/dx exch def % save index
% /x cntTick dT dx log mul add def %
/x dx log OffSet add \ifis@yAxis\pst@number\psyunit\else\pst@number\psxunit\fi\space mul cntTick add def
x abs MinValue abs le { % out of range?
\ifis@yAxis
\ifPst@maxyTicks true \else false \fi
\else
\ifPst@maxxTicks true \else false \fi
\fi
{ x minTickline #5 moveto
x maxTickline #5 lineto }
{ x tickstart STsize mul #5 moveto
x tickend STsize mul #5 lineto } ifelse
} if
} for } for
/dsubT 0 def
subTwidth SLW subTColor % set line width and subtick color
subLSstroke
grestore
} % end loglines
dsubT abs 0 gt { % do we have subticks?
gsave % save main state
% start subticks ----------------------------------------------------------
/cntsubTick cntTick dsubT add def
subTNo 1 sub {
cntsubTick abs MinValue abs le { % out of range?
cntsubTick tickstart STsize mul #5 moveto
cntsubTick tickend STsize mul #5 lineto
}{ exit } ifelse
/cntsubTick cntsubTick dsubT add def
} repeat % for
% end subticks ----------------------------------------------------------
subTwidth SLW subTColor % set line width and subtick color
subLSstroke
grestore % restore main state
} if
showOrigin {
gsave
cntTick tickstart #5 moveto % line begin main Tick
cntTick tickend #5 lineto % lineto tick end
Twidth SLW TColor % set line width and tick color
LSstroke
grestore
}{ /showOrigin true def } ifelse % only for the very first tick valid
} for
% end ticks ----------------------------------------------------------
%\fi
} if%
}% end of \pscode
\end@SpecialObj%
% now draw the axes again with the correct linecolor
\ifx\psk@axesstyle\@none\else
\ifPst@yAxis\psline[linecolor=\pslinecolor](0,#2)(0,#4)\fi%
\ifPst@xAxis\psline[linecolor=\pslinecolor](#1,0)(#3,0)\fi%
\fi%
\ignorespaces%
}%
%
%
\def\psxs@frame{%
\begin@SpecialObj%
\addto@pscode{ % the frame
\pst@number\pst@dima \pst@number\pst@dimb moveto % lower left
\pst@number\pst@dimc \pst@number\pst@dimb L % upper left
\pst@number\pst@dimc \pst@number\pst@dimd L % upper right
\pst@number\pst@dima \pst@number\pst@dimd L % lower right
closepath
}%
\pst@stroke%
\psk@fillstyle%
\end@SpecialObj%
\let\psk@arrowA\@empty%
\let\psk@arrowB\@empty%
\pst@xticksizeC=\z@\pst@yticksizeC=\z@%
\psxs@@axes\pst@dima\pst@dimb\pst@dimc\pst@dimd{}{x}% x axis
\psxs@@axes\pst@dima\pst@dimb\pst@dimc\pst@dimd{ exch }{y}% y axis
\ifnum\psk@tickstyle=\tw@ % llx,lly,urx,ury,exch,x|y,arrowA,arrowB
\psDEBUG[psxs@frame]{psk@tickstyle=2 (inner)}%
\psDEBUG[psxs@frame]{pst@dima=\pst@number\pst@dima}%
\psDEBUG[psxs@frame]{pst@dimb=\pst@number\pst@dimb}%
\psDEBUG[psxs@frame]{pst@dimc=\pst@number\pst@dimc}%
\psDEBUG[psxs@frame]{pst@dimd=\pst@number\pst@dimd}%
\psxs@@axes\pst@dima\pst@dimb\pst@dimc\pst@dimd{ neg \pst@number\pst@dimd add }{x}% % upper x axis
\psxs@@axes\pst@dima\pst@dimb\pst@dimc\pst@dimd{ neg \pst@number\pst@dimc add exch }{y}% right y axis
\fi%
}
%
\def\psxs@polar{% (rx,ry) % all other values are ignored
\pst@killglue
\begingroup
\edef\pst@dimC{\strip@pt\pst@dimc}% RadiusX
\pstFPDiv\pstR@dius{\pst@dimC}{\strip@pt\psxunit}% in cm and as integer
\addbefore@par{Dy=30}% for the angle step
\use@keep@par
\pstFPDiv\pstN@lpha{360}{\psk@Dy}% No of (int) main lines
\pstFPdiv\pstd@lpha{\psk@Dy}{\psk@ysubticks}% sub dAlpha
\pstFPdiv\pstdR@dius{1}{\psk@xsubticks}% sub dRadius
\pst@cntm=\psk@xsubticks\advance\pst@cntm by \m@ne
\multido{\iA=\psk@Dx+\psk@Dx,\rB=\pstdR@dius+\psk@Dx,\iB=0+1}{\pstR@dius}{%
\multido{\rA=\rB+\pstdR@dius}{\the\pst@cntm}{\pscircle[linestyle=\psxsubticklinestyle,
linecolor=\psk@xsubtickcolor,linewidth=\psk@xsubtickwidth pt]{\rA}}
\pscircle[linestyle=\psxticklinestyle,linecolor=\psk@xtickcolor,
linewidth=\psk@xtickwidth pt]{\iA}%
\ifnum\psk@labels<2\relax% is all or x (0,1)
\uput[-45](\iB,0){\pshlabel{\iB}}\uput[45](0,\iB){\pshlabel{\iB}}%
\fi%
}%
% \uput[-45](\pstR@dius,0){\pstR@dius}\uput[45](0,\pstR@dius){\pstR@dius}%
\pst@cntm=\psk@ysubticks\advance\pst@cntm by \m@ne
\multido{\iA=\psk@Dy+\psk@Dy,\rB=\pstd@lpha+\psk@Dy}{\pstN@lpha}{%
\multido{\rA=\rB+\pstd@lpha}{\the\pst@cntm}{\psline[linestyle=\psysubticklinestyle,
linecolor=\psk@ysubtickcolor,linewidth=\psk@ysubtickwidth pt](\pstR@dius;\rA)}
\psline[linestyle=\psyticklinestyle,
linecolor=\psk@ytickcolor,linewidth=\psk@ytickwidth pt](\pstR@dius;\iA)%
\ifodd\psk@labels\else% is all or y (0,3)
\uput[\iA](\pstR@dius;\iA){\psvlabel{\iA}}%
\fi%
}
\endgroup\ignorespaces%
\Pst@xAxisfalse\Pst@yAxisfalse%
}
%
\define@key[psset]{pst-plot}{axesstyle}[axes]{%
\@ifundefined{psxs@#1}%
{\@pstrickserr{Axes style `#1' not defined}\@eha}%
{\def\psk@axesstyle{#1}}}
\psset[pst-plot]{axesstyle=axes}
\define@key[psset]{pst-plot}{xLabels}[]{\def\psk@xLabels{#1}}
\define@key[psset]{pst-plot}{xLabelsRot}[0]{\pst@getangle{#1}\pst@xLabelsRot}
\psset[pst-plot]{xLabels=,xLabelsRot=0}
\define@key[psset]{pst-plot}{yLabels}[]{\def\psk@yLabels{#1}}
\define@key[psset]{pst-plot}{yLabelsRot}[0]{\pst@getangle{#1}\pst@yLabelsRot}
\psset[pst-plot]{yLabels=,yLabelsRot=0}
%
% #1:Max/Min in pt from origin; #2:arrow; #3:min; #4:max
\def\pst@hlabels#1#2#3#4{%
\ifx\empty\psk@xLabels
\kern\psk@xlabelOffset pt % set the x offset?
\ifdim#1=\z@\else% % start from 0 ?
\ifx#2\empty\else\advance#1\ifdim#1>\z@-\fi7\pslinewidth\fi%
\pst@cnta=#1\relax% % Distance (in sp) to end.
\divide\pst@cnta\psk@dx\relax% % Number of ticks/labels
\ifnum\pst@cnta=\z@\else%
\pst@dimb=\psk@dx sp% % Space between ticks.
\ifPst@yAxis\else\showorigintrue\fi%
\ifnum\psk@labels<\tw@\ifPst@xAxis\pst@@hlabels\fi\fi%
\showoriginfalse%
\fi%
\fi%
\else
\pst@cnta=#1\relax% % Distance (in sp) to end.
\pstFPdiv\pst@tempA{\the\pst@cnta}{\psk@dx}
\pstFPadd\pst@tempA{1.55}{\pst@tempA} % to prevent rounding errors
\edef\pst@tempB{\pst@int{\pst@tempA}}
% \divide\pst@cnta\psk@dx\relax% % Number of ticks/labels
\multido{\nA=#3+1}{\pst@tempB}{\uput{\psxlabelsep}[-90]{\pst@xLabelsRot}(\nA,0)%\psxlabelsep)
{\strut\pshlabel{\psPutXLabel{\nA}}}}%
\fi%
}
% Knows \pst@dimb and \pst@cnta
\def\pst@@hlabels{%
\psDEBUG[pst@@hlabels]{xticksizeC=\the\pst@xticksizeC}%
\setbox\z@=\vbox{% save all in a box
\ifcase\psk@xlabelPos% 0
\vskip-\pst@xticksizeA\vskip\psxlabelsep\or % 1
\vskip-1ex\vskip-\pslabelsep\or % 2
\vskip-\pst@xticksizeB\vskip-\psxlabelsep\vskip-1ex % 3
\fi
\ifnum\pst@cnta<\z@ \pst@dimb=-\pst@dimb\fi
\hbox to\z@{%
\ifshoworigin\hbox to \z@{\hss\pst@@@hlabel{\psk@Ox}\hss}\fi%
\mmultido{\nA=\psk@Ox+\psk@Dx}{\pst@cnta}{%
\hskip\pst@dimb\hbox to \z@{\hss%
\ifdim\nA pt=\z@ \pst@@@hlabel{0}%
\else\expandafter\pst@@@hlabel{\nA}%
\fi% prevent -0, doesn't work with \ifnum
\hss}%
}\hss%
}%
}\ht\z@\z@ \dp\z@\z@ \box\z@}% set all values to zero
%
% #1:Max/Min in pt from origin; #2:arrow; #3:min; #4:max
% \psk@labels 0:all; 1:x; 2:y; 3:none
\def\pst@vlabels#1#2#3#4{%
\ifx\empty\psk@yLabels
\ifdim#1=\z@\else%
\ifx#2\empty\else\advance#1\ifdim#1>\z@-\fi7\pslinewidth\fi%
\pst@cnta=#1\relax% % % Distance (in sp) to end.
\divide\pst@cnta\psk@dy\relax% % Number of ticks/labels
\ifnum\pst@cnta=\z@\else%
\pst@dima=\psk@dy sp% % Space between ticks.
\ifodd\number\psk@labels\else\ifPst@yAxis\pst@@vlabels\fi\fi%
\showoriginfalse%
\fi%
\fi%
\else%
\pst@cnta=#1\relax% % % Distance (in sp) to end.
\pstFPdiv\pst@tempA{\the\pst@cnta}{\psk@dy}
\pstFPadd\pst@tempA{1.55}{\pst@tempA} % to prevent rounding errors
\edef\pst@tempB{\pst@int{\pst@tempA}}
% \divide\pst@cnta\psk@dy\relax% % Number of ticks/labels
\multido{\nA=#3+1}{\pst@tempB}{\uput{\psylabelsep}[180]{\pst@yLabelsRot}(0,\nA){%
\strut\expandafter\psvlabel\expandafter{\psPutYLabel{\nA}}}}%
\fi%
}
% \pst@dima: the width between two labels in pt
% \pst@dimc: the coordinate of the origin in pt
% \pst@cnta: the lowest label
% \pst@ticksizeC the lowest or highest value
\def\pst@@vlabels{%
\psDEBUG[pst@@vlabels]{yticksizeC=\the\pst@yticksizeC}% for left labels we use \def\llap#1{\hb@xt@\z@{\hss#1}}
\vbox to\z@{%
\vbox to -\psk@ylabelOffset pt{}% the y label offset
\ifnum\pst@cnta>\z@ \pst@dima=-\pst@dima\fi% up or down label positions
\offinterlineskip%
\ifshoworigin%
\vbox to \z@{\vss\hbox to\z@{%
\ifcase\psk@ylabelPos%
\hss\pst@@@vlabel{\psk@Oy}\hskip\psylabelsep\hskip-\pst@yticksizeA\or%
\hskip\pslabelsep\hss\pst@@@vlabel{\psk@Oy}\hss\or % right labels
\hskip\pst@yticksizeB\hskip\psylabelsep\pst@@@vlabel{\psk@Oy}%
\fi}\vss}%
\fi%
\mmultido{\nA=\psk@Oy+\psk@Dy}{\pst@cnta}{%
\vbox to\pst@dima{\vss}%
\vbox to \z@{%
\vss\hbox to\z@{%
\ifcase\psk@ylabelPos% and also check for -0
\hss\ifdim\nA pt=\z@ \pst@@@vlabel{0}\else\pst@@@vlabel{\nA}\fi%
\hskip\psylabelsep\hskip-\pst@yticksizeA\or% top
\hss\ifdim\nA pt=\z@\pst@@@vlabel{0}\else\pst@@@vlabel{\nA}\fi%
\ifdim\psylabelsep=\z@\hss\else\kern-\psylabelsep\fi\or% axis
\hskip\pst@yticksizeB\hskip\psylabelsep%
\ifdim\nA pt=\z@\pst@@@vlabel{0}\else\pst@@@vlabel{\nA}\fi% bottom
\fi}\vss}%
}\vss}%
}
%
\define@key[psset]{pst-plot}{xAxisLabel}[x]{\def\psk@xAxisLabel{#1}}
\define@key[psset]{pst-plot}{yAxisLabel}[y]{\def\psk@yAxisLabel{#1}}
\psset[pst-plot]{xAxisLabel=x,yAxisLabel=y}
\define@key[psset]{pst-plot}{xAxisLabelPos}[{}]{\def\psk@xAxisLabelPos{#1}}
\define@key[psset]{pst-plot}{yAxisLabelPos}[{}]{\def\psk@yAxisLabelPos{#1}}
\psset[pst-plot]{yAxisLabelPos={},xAxisLabelPos={}}
%
\newdimen\psk@llx
\newdimen\psk@lly
\newdimen\psk@urx
\newdimen\psk@ury
\define@key[psset]{pst-plot}{llx}[\z@]{\pssetxlength\psk@llx{#1}}
\define@key[psset]{pst-plot}{lly}[\z@]{\pssetylength\psk@lly{#1}}
\define@key[psset]{pst-plot}{urx}[\z@]{\pssetxlength\psk@urx{#1}}
\define@key[psset]{pst-plot}{ury}[\z@]{\pssetylength\psk@ury{#1}}
\psset[pst-plot]{llx=\z@, lly=\z@, urx=\z@, ury=\z@}% prevents rounding errors
%
\define@boolkey[psset]{pst-plot}[Pst@]{psgrid}[true]{}
\define@key[psset]{pst-plot}{gridpara}[{}]{\def\psk@gridpara{#1}}
\define@key[psset]{pst-plot}{gridcoor}[\relax]{\def\psk@gridcoor{#1}}
\psset[pst-plot]{psgrid=false,gridpara={},gridcoor=\relax}
%
\newdimen\pst@xunit
\newdimen\pst@yunit
%
\def\pslegend{\@ifnextchar[\pslegend@i{\pslegend@i[rt]}}
\def\pslegend@i[#1]{\@ifnextchar({\pslegend@ii[#1]}{\pslegend@ii[#1](\pst@number\pslabelsep,\pst@number\pslabelsep)}}
\def\pslegend@ii[#1](#2,#3)#4{%
\gdef\pslegend@ref{#1}%
\xdef\pslegend@sepx{#2 }%
\xdef\pslegend@sepy{#3 }%
\gdef\pslegend@text{#4}}
%
\newpsstyle{legendstyle}{fillstyle=solid,fillcolor=white,linewidth=0.5pt}
%
\def\pslegend@iii[#1](#2){\rput[#1](#2){\psframebox[style=legendstyle]{%
\footnotesize\tabcolsep=2pt%
\tabular[t]{@{}ll@{}}\pslegend@text\endtabular}}\global\let\pslegend@text\relax}
\let\pslegend@text\relax% define it as empty
%
\def\psgraph{\pst@object{psgraph}}
\def\psgraph@i{\pst@getarrows\psgraph@ii}
\def\psgraph@ii(#1,#2){\catcode`\!=12\relax
\@ifnextchar({\psgraph@iii(#1,#2)}{\psgraph@iv(0,0)(#1,#2)}}
\def\psgraph@iii(#1,#2)(#3,#4){\@ifnextchar({\psgraph@v(#1,#2)(#3,#4)}{\psgraph@iv(#1,#2)(#3,#4)}}
%
\def\psgraph@iv(#1,#2)(#3,#4)#5#6{% no special origin defined
% minX | minY | maxX | maxY | Length x-axis | length y-axis%
\pst@killglue%
\begingroup%
\bgroup%
\use@keep@par%
\ifPst@psgrid%
\expandafter\psset\expandafter{\psk@gridpara}%
\rput(0,0){\expandafter\psgrid\psk@gridcoor}
\fi%
\egroup%
\pstFPsub\pst@tempA{#3}{#1}%
\pst@dimm=#5%
\pst@dimo=\pst@tempA pt%
\pstFPdiv\pst@@dx{\strip@pt\pst@dimm}{\pst@tempA}%
\pst@xunit=\pst@@dx\p@%
%
\ifx!#6\let\pst@yunit=\pst@xunit\else%
\pst@dimm=#6%
% \pst@dimm=\pst@@dx\pst@dimo\else\pst@dimm=#6\fi%
\pstFPsub\pst@tempA{#4}{#2}%
\pstFPdiv\pst@@dy{\strip@pt\pst@dimm}{\pst@tempA}%
\pst@yunit=\pst@@dy\p@%
\fi%
%
\pst@dimm=#1\pst@xunit\advance\pst@dimm by \psk@llx%
\pst@dimn=#2\pst@yunit\advance\pst@dimn by \psk@lly%
\pst@dimo=#3\pst@xunit\advance\pst@dimo by \psk@urx%
\pst@dimp=#4\pst@yunit\advance\pst@dimp by \psk@ury%
\if@star\pspicture*(\pst@dimm,\pst@dimn)(\pst@dimo,\pst@dimp)\else%
\pspicture(\pst@dimm,\pst@dimn)(\pst@dimo,\pst@dimp)\fi%
\let\psxunit\pst@xunit \let\psyunit\pst@yunit%
\ifdim\pst@xunit=\pst@yunit\relax\psset[pstricks]{runit=\pst@xunit}\fi%
\bgroup%
\use@par%
\psaxes(#1,#2)(#3,#4)%
\egroup%
\psgraph@vi(#1,#2)(#1,#2)(#3,#4)%
}
\def\psgraph@v(#1,#2)(#3,#4)(#5,#6)#7#8{% with special origin
% Xorig | yorig | minX | minY | maxX | maxY | Length x-axis | length y-axis%
\pst@killglue%
\begingroup%
\bgroup%
\use@keep@par%
\ifPst@psgrid%
\expandafter\psset\expandafter{\psk@gridpara}%
\rput(0,0){\expandafter\psgrid\psk@gridcoor}
\fi%
\egroup%
\pstFPsub\pst@tempA{#5}{#3}%
\pst@dimm=#7%
\pst@dimo=\pst@tempA pt%
\pstFPdiv\pst@@dx{\strip@pt\pst@dimm}\pst@tempA%
\pst@xunit=\pst@@dx\p@%
%
\ifx!#8\let\pst@yunit=\pst@xunit\else
\pst@dimm=#8%
\pstFPsub\pst@tempA{#6}{#4}%
\pstFPdiv\pst@@dy{\strip@pt\pst@dimm}\pst@tempA%
\pst@yunit=\pst@@dy\p@%
\fi%
%
\pst@dima=#3\pst@xunit \advance\pst@dima by \psk@llx%
\pst@dimb=#4\pst@yunit \advance\pst@dimb by \psk@lly%
\pst@dimc=#5\pst@xunit \advance\pst@dimc by \psk@urx%
\pst@dimd=#6\pst@yunit \advance\pst@dimd by \psk@ury%
\if@star\pspicture*(\pst@dima,\pst@dimb)(\pst@dimc,\pst@dimd)\else%
\pspicture(\pst@dima,\pst@dimb)(\pst@dimc,\pst@dimd)\fi%
\psset[pstricks]{xunit=\pst@xunit,yunit=\pst@yunit}
\ifdim\pst@xunit=\pst@yunit \psset[pstricks]{runit=\pst@xunit}\fi%
\bgroup%
\use@par%
\psaxes(#1,#2)(#3,#4)(#5,#6)%
\egroup%
\psgraph@vi(#1,#2)(#3,#4)(#5,#6)%
}
%
\def\setxLabelC@@r#1,#2(#3,#4)(#5){%
\pst@getcoor{#5}\pst@tempB%
\ifx c#1
\pssetylength\pst@dimm{#2}%
\rput(! #4 #3 add 2 div \pst@number\pst@dimm \pst@tempB\space exch pop add
\pst@number\psyunit div ){\psk@xAxisLabel}%
\else%
\pst@getcoor{\psk@xAxisLabelPos}\pst@tempA%
\rput(! \pst@tempA\space \pst@tempB\space exch pop add \tx@UserCoor ){\psk@xAxisLabel}%
\fi}
\def\setyLabelC@@r#1,#2(#3,#4)(#5){%
\pst@getcoor{#5}\pst@tempB%
\ifx c#2
\pssetxlength\pst@dimm{#1}%
\rput{90}(! \pst@number\pst@dimm \pst@tempB\space pop add \pst@number\psxunit div #4 #3 add 2 div ){\psk@yAxisLabel}%
\else%
\pst@getcoor{\psk@yAxisLabelPos}\pst@tempA%
\rput{90}(! \pst@tempB\space pop \pst@tempA\space 3 1 roll add exch \tx@UserCoor ){\psk@yAxisLabel}%
\fi}
%
\def\psgraph@vi(#1,#2)(#3,#4)(#5,#6){%
\ifx\psk@xAxisLabel\@empty\else%
\ifx\psk@xAxisLabelPos\@empty\uput[0](#5,#2){\psk@xAxisLabel}%
\else\expandafter\setxLabelC@@r\psk@xAxisLabelPos(#3,#5)(#1,#2)\fi%
\fi%
\ifx\psk@yAxisLabel\@empty\else%
\ifx\psk@yAxisLabelPos\@empty\uput[90](#1,#6){\psk@yAxisLabel}%
\else\expandafter\setyLabelC@@r\psk@yAxisLabelPos(#4,#6)(#1,#2)\fi%
\fi%
\def\lt@@{lt}\def\lb@@{lb}\def\rb@@{rb}%
\ifx\pslegend@ref\lb@@ \gdef\pslegend@coor{#3 \pslegend@sepx \pst@number\psxunit div add
\pslegend@sepy \pst@number\psyunit div}%
\else%
\ifx\pslegend@ref\lt@@ \gdef\pslegend@coor{#3 \pslegend@sepx \pst@number\psxunit div add
#6 \pslegend@sepy \pst@number\psyunit div sub}%
\else%
\ifx\pslegend@ref\rb@@\gdef\pslegend@coor{#5 \pslegend@sepx \pst@number\psxunit div sub
\pslegend@sepy \pst@number\psyunit div}%
\else \gdef\pslegend@coor{#5 \pslegend@sepx \pst@number\psxunit div sub
#6 \pslegend@sepy \pst@number\psyunit div sub}%
\fi%
\fi%
\fi%
\xdef\psgraphLLx{#3}\xdef\psgraphLLy{#4}\xdef\psgraphURx{#5}\xdef\psgraphURy{#6}%
\ignorespaces
}
%
\def\endpsgraph{%
% \pst@killglue%
\ifx\relax\pslegend@text\relax \else\pslegend@iii[\pslegend@ref](!\pslegend@coor)\fi%
\endpspicture%
\endgroup\ignorespaces}
%
\@namedef{psgraph*}{\psgraph*}
\@namedef{endpsgraph*}{\endpsgraph}
%
\def\psPutXLabel#1{%
\global\pst@cntm=0\relax
\global\pst@cntn=#1\relax
\expandafter\get@Label\psk@xLabels,\@nil
}
\def\psPutYLabel#1{%
\global\pst@cntm=0\relax
\global\pst@cntn=#1\relax
\expandafter\get@Label\psk@yLabels,\@nil
}
\def\get@Label#1,#2\@nil{%
\ifnum\the\pst@cntm=\the\pst@cntn
#1
\else\global\advance\pst@cntm by \@ne
\expandafter\get@Label#2,\@nil
\fi%
}
%
\def\psFixpoint{\pst@object{psFixpoint}}
\def\psFixpoint@i#1#2#3{% #1: xStart #2: f(x) #3: number of iterations
\pst@killglue%
\begingroup%
\use@par%
\@nameuse{beginplot@\psplotstyle}%
\addto@pscode{
\psplot@init
/x #1 def
/F@pstplot \ifPst@algebraic (#2) tx@AlgToPs begin AlgToPs end cvx
\else { #2 } \fi def
/xy { x \pst@number\psxunit mul F@pstplot dup /x ED \pst@number\psyunit mul } def
}%
\gdef\psplot@init{}%
\@pstfalse%
\@nameuse{testqp@\psplotstyle}%
\addto@pscode{
mark
x \pst@number\psxunit mul 0
/n 2 def
#3 {
xy
dup dup
/n n 4 add def
} repeat
}%
\@nameuse{endplot@\psplotstyle}%
\endgroup%
\ignorespaces}
%
\define@boolkey[psset]{pst-plot}[Pst@]{showDerivation}[true]{}
\psset{showDerivation}
%
\def\psNewton{\pst@object{psNewton}}
\def\psNewton@i#1#2{\@ifnextchar[{\psNewton@ii{#1}{#2}}{\psNewton@iii{#1}{#2}}}
\def\psNewton@ii#1#2[#3]#4{% #1:xStart #2:f(x) #3:f'(x) #4:number of iterations
\pst@killglue%
\begingroup%
\addbefore@par{showDerivation}%
\use@par%
\@nameuse{beginplot@\psplotstyle}%
\addto@pscode{
\psplot@init
/x #1 def
/F@pstplot \ifPst@algebraic (#2) tx@AlgToPs begin AlgToPs end cvx \else { #2 } \fi def
/F@pstplotDerive \ifPst@algebraic (#3) tx@AlgToPs begin AlgToPs end cvx \else { #3 } \fi def
/newxVal { % y on stack
F@pstplotDerive % we have m
div neg %\pst@number\psxunit div % new x val = -y0/m
} def
}%
\gdef\psplot@init{}%
\@pstfalse%
\@nameuse{testqp@\psplotstyle}%
\addto@pscode{
mark
x 0 \tx@ScreenCoor % start point
/n 2 def
#4 {
F@pstplot /yVal ED
x yVal \tx@ScreenCoor
/n n 2 add def
yVal newxVal x add /x ED
x 0 \tx@ScreenCoor
\ifPst@showDerivation /n n 4 add def \else moveto /n n 2 add def\fi
} repeat
pstack
}%
\@nameuse{endplot@\psplotstyle}%
\endgroup%
\ignorespaces}
\def\psNewton@iii#1#2#3{% #1:xStart #2:f(x) #3:number of iterations
\pst@killglue%
\begingroup%
\addbefore@par{VarStepEpsilon=0.01,showDerivation}%
\use@par%
\@nameuse{beginplot@\psplotstyle}%
\addto@pscode{
\psplot@init
/epsilon \psk@VarStepEpsilon\space def
/x #1 def
/F@pstplot \ifPst@algebraic (#2) tx@AlgToPs begin AlgToPs end cvx \else { #2 } \fi def
/newxVal { % y on stack
/saveX x def
saveX epsilon add /x ED F@pstplot saveX epsilon sub /x ED F@pstplot sub epsilon dup add div % we have m
div neg % new x val = -y0/m
/x saveX def
} def
}%
\gdef\psplot@init{}%
\@pstfalse%
\@nameuse{testqp@\psplotstyle}%
\addto@pscode{
mark
x 0 \tx@ScreenCoor % start point
/n 2 def
#3 {
F@pstplot /yVal ED
x yVal \tx@ScreenCoor
yVal newxVal x add /x ED
x 0 \tx@ScreenCoor
\ifPst@showDerivation /n n 4 add def \else moveto /n n 2 add def\fi
} repeat
}%
\@nameuse{endplot@\psplotstyle}%
\endgroup%
\ignorespaces}
%
\def\psResetPlotValues{%
\psset{method={}}%
}%
\catcode`\@=\TheAtCode\relax
\endinput
%%
%% END pst-plot.tex