I've spent a bit of time fixing a few things:<br>- improved the matrix debugger and printer<br>- generalized the ExpFit for arbitrary base instead of only Euler original fit model a*exp(x) changed to a*b^x. a*exp(x) can still be fitted using gaussian curve Gauss of PolyOrder=1. <br>
<br>I hope someone finds it useful. A note on licensing - I placed a disclaimer on my last post in haste. Contrary to my last post I do not restrict the use of this code in anyway, except for the fact that I except no liability for it's use or mis-suse, accuracy or inaccuracy or any damage resulting from it's use/mis-use. This is strictly use at your own risk. <br>
<br>\documentclass{article}<br><br>\usepackage{pst-all}<br>\usepackage{pst-func}<br>\usepackage{pstricks-add}<br>\usepackage{filecontents}<br>%Exp(3*e^2x)<br>\begin{filecontents}{exp.dat}<br>1 22<br>2 164<br>3 1210<br>4 8943<br>
\end{filecontents}<br>%Recip(100/x)<br>\begin{filecontents}{recip.dat}<br>1 100<br>2 50<br>3 33<br>4 25<br>5 20<br>6 12.5<br>\end{filecontents}<br>%Poly(-7.26*x^4+57.4*x^3-142.94*x^2+294.53*x-109)<br>\begin{filecontents}{poly.dat}<br>
1 93<br>2 251<br>3 450<br>4 597<br>5 428<br>6 -498<br>\end{filecontents}<br>%Log(5+20*log(x))<br>\begin{filecontents}{logt.dat}<br>2 11<br>3 14.5<br>4 17<br>5 19<br>6 20.5<br>\end{filecontents}<br>%Log(5+20*ln(x))<br>\begin{filecontents}{loge.dat}<br>
2 19<br>3 27<br>4 33<br>5 37<br>6 41<br>\end{filecontents}<br>%Power(x^3)<br>\begin{filecontents}{power.dat}<br>2 8<br>3 27<br>4 64<br>5 125<br>6 216<br>7 343<br>8 512<br>9 729<br>10 1000<br>\end{filecontents}<br>%Gauss (e^(-x^2))<br>
\begin{filecontents}{gauss.dat}<br>-10 3.72008E-44<br>-8 1.60381E-28<br>-6 2.31952E-16<br>-4 1.12535E-07<br>-2 0.018315639<br>2 0.018315639<br>4 1.12535E-07<br>6 2.31952E-16<br>8 1.60381E-28<br>10 3.72008E-44<br>\end{filecontents}<br>
%Linear (2x+2)<br>\begin{filecontents}{linear.dat}<br>1 4<br>2 6<br>3 8<br>4 10<br>5 12<br>6 14<br>7 16<br>8 18<br>9 20<br>10 22<br>\end{filecontents}<br>%Linear (2x 3x)<br>\begin{filecontents}{linearA.dat}<br>1 2 3<br>2 4 6<br>
3 6 9<br>4 8 12<br>5 10 15<br>6 12 18<br>7 14 21<br>8 16 24<br>9 18 27<br>10 20 30<br>\end{filecontents}<br>%King (sqrt(5+4*V^0.5))<br>\begin{filecontents}{king.dat}<br>2 3.264483765<br>3 3.453723097<br>4 3.605551275<br>5 3.734202982<br>
6 3.846811533<br>7 3.947531538<br>8 4.039023211<br>9 4.123105626<br>10 4.20108446<br>\end{filecontents}<br><br>\makeatletter<br>%New PlotStyle ErrorLine<br>%%%%%%%%%%%<br>\def\beginplot@ErrorLine{\begin@OpenObj}<br>\def\endplot@ErrorLine{\psErrorLine@ii}<br>
\def\psErrorLine@ii{%<br> \addto@pscode{<br> \pst@cp % current point<br> \psline@iii % arc and lineto type<br> \tx@ErrorLine <br> }%<br> \end@OpenObj%<br>}<br>%<br>\def\tx@ErrorLine{ErrorLine }<br>\pst@def{ErrorLine}<{<br>
/copypt { dup 3 2 roll dup 4 1 roll exch } def %copy point<br> NArray n 0 eq not <br> { n { \psk@relyerr\space 0 eq not <br> {copypt copypt dup \psk@relyerr\space mul add ArrowA<br> dup \psk@relyerr\space mul sub <br>
Lineto <br> copypt dup \psk@relyerr\space mul sub ArrowB L} if<br> \psk@relxerr\space 0 eq not <br> {copypt copypt exch dup \psk@relxerr\space mul add exch ArrowA<br> exch dup \psk@relxerr\space mul sub exch<br>
Lineto <br> copypt exch dup \psk@relxerr\space mul sub exch ArrowB L pop pop }<br> { pop pop } ifelse } repeat <br> } if <br>}><br><br>\define@boolkey[psset]{pstricks-add}[Pst@]{ScyBase}[true]{}%<br>\define@boolkey[psset]{pstricks-add}[Pst@]{ScxBase}[true]{}%<br>
\psset{ScyBase=true,ScxBase=true}<br><br>\def\pstScalePoints(#1,#2)#3#4{%<br>% xScale | yScale | xOperator | yOperator <br>% the operators can be any Postscript code<br>\pst@def{ScalePoints}<%<br> /y ED /x ED<br> /yOper { #4\space y mul #2\space mul } def<br>
/xOper { #3\space x mul #1\space mul } def<br> counttomark dup dup cvi eq not { exch pop } if<br> /m exch def /n m 2 div cvi def<br> n {<br> #4\space y mul #2\space mul m 1 roll<br> #3\space x mul #1\space mul m 1 roll<br>
/m m 2 sub<br> def } repeat>%<br>}<br>\def\psLineToXAxis@ii{%<br>\addto@pscode{\pst@cp \psline@iii \tx@LineToXAxis}%<br>\end@OpenObj}<br><br>\def\tx@LineToXAxis{LineToXAxis }<br><br>\pst@def{LineToXAxis}<{%<br>
NArray<br>n 0 eq not<br> { %n 1 eq { 0 0 /n 2 def } if<br> %ArrowA<br> %/n n 2 sub def<br> %2 copy pop 0 \ifPst@ScyBase yOper \fi moveto Lineto<br> n { 2 copy 2 copy pop 0 \ifPst@ScyBase yOper \fi 4 2 roll ArrowA Lineto <br>
2 copy pop 0 \ifPst@ScyBase yOper \fi ArrowB L pop pop<br> } repeat<br> %2 copy moveto pop 0 \ifPst@ScyBase yOper \fi<br> %L<br> %pop pop <br>} if}><br><br>\def\psLineToYAxis@ii{%<br>\addto@pscode{\pst@cp \psline@iii \tx@LineToYAxis}%<br>
\end@OpenObj}<br>\def\tx@LineToYAxis{LineToYAxis }<br>\pst@def{LineToYAxis}<{<br>NArray<br>n 0 eq not<br> { %n 1 eq { 0 0 /n 2 def } if<br> %ArrowA<br> %/n n 2 sub def<br> %CP 2 copy moveto exch pop 0 \ifPst@ScxBase xOper \fi exch Lineto<br>
n { 2 copy 2 copy exch pop 0 \ifPst@ScxBase xOper \fi exch 4 2 roll ArrowA Lineto<br> 2 copy exch pop 0 \ifPst@ScxBase xOper \fi exch ArrowB L pop pop <br> } repeat<br> %2 copy moveto exch pop 0 \ifPst@ScxBase xOper \fi exch<br>
%L<br> %pop pop <br>} if}><br>%<br>%%%%%%PREPAREPOINTS<br>\define@key[psset]{pstricks-add}{plotNoTwo}{\def\psk@plotNoTwo{#1}}%<br>\define@key[psset]{pstricks-add}{plotNoTwoFunc}{\def\psk@plotNoTwoFunc{#1}} %Must operate on two stack elements and return one<br>
\psset{plotNoTwo=0,plotNoTwoFunc=dup mul exch dup mul add sqrt}<br><br>%\def\tx@PreparePoints{PreparePoints }<br>\pst@def{PreparePoints}<{%<br> counttomark /m exch def<br> \ifPsk@xyValues\else % we have only y values<br>
/mm m def<br> /M m 1 add def<br> m { mm exch M 2 roll /M M 1 add def /mm mm 1 sub def } repeat<br> /m m dup add def<br> \fi<br> \ifPst@ChangeOrder<br> /m0 m def<br> m \psk@plotNoMax\space 1 add div 1 sub cvi {<br>
m0 \psk@plotNoMax\space 1 add roll /m0 m0 \psk@plotNoMax\space 1 add sub def<br> } repeat<br> \fi<br> /n m \psk@plotNoMax\space 1 add div cvi def<br> \psk@plotNoMax\space 1 gt {% multiple data files?<br> n {<br>
\psk@plotNoTwo\space 0 gt {<br> \psk@plotNoMax\space copy<br> \psk@plotNoMax\space \psk@plotNoTwo\space 1 sub neg roll % x yNo y yNoTwo y [yNo y yNoTwo y]<br> \psk@plotNoMax\space 1 sub { pop } repeat % x yNo y yNoTwo y yNoTwo<br>
\psk@plotNoMax\space 1 add 1 roll } if<br> \psk@plotNoMax\space \psk@plotNo\space 1 sub neg roll % x yNo y y y ...<br> \psk@plotNoMax\space 1 sub { pop } repeat % x [yNoTwo] yNo<br> \psk@plotNoTwo\space 0 gt {<br>
\psk@plotNoTwoFunc\space } if %x f(yNo,yNoTwo) <br> /m m \psk@plotNoMax\space 1 sub sub def<br> m 2 roll<br> } repeat<br> } if % no multiple data files<br>% counttomark /m exch def<br>% /n m 2 div cvi def<br>
/xMax -99999 def /yMax -99999 def<br> /xP 0 def /yP 0 def<br> m copy<br> n {<br> /y exch def /x exch def<br> xMax x lt { /xMax x def } if<br> yMax y lt {/yMax y def } if<br> xP x gt { /xP x def } if<br> yP y gt { /yP y def } if<br>
} repeat<br>% m 2 roll<br> \psk@xStep\space 0 gt \psk@yStep\space 0 gt or (\psk@xStart) length 0 gt or<br> (\psk@yStart) length 0 gt or (\psk@xEnd) length 0 gt or (\psk@yEnd) length 0 gt or {<br>%<br> (\psk@xStart) length 0 gt {\psk@xStart\space }{ xP } ifelse /xStart exch def<br>
(\psk@yStart) length 0 gt {\psk@yStart\space }{ yP } ifelse /yStart exch def<br> (\psk@xEnd) length 0 gt { \psk@xEnd\space }{ xMax } ifelse /xEnd exch def<br> (\psk@yEnd) length 0 gt { \psk@yEnd\space }{ yMax } ifelse /yEnd exch def<br>
n {<br> m -2 roll<br> 2 copy /yVal exch def /xVal exch def<br> xVal xP ge<br> yVal yP ge and<br> xVal xEnd le and<br> yVal yEnd le and<br> xVal xStart ge and<br> yVal yStart ge and {<br>
/xP xP \psk@xStep\space add def<br> /yP yP \psk@yStep\space add def<br> }{%<br> pop pop<br> /m m 2 sub def<br> } ifelse<br> } repeat<br> }{%<br> /ncount 0 def<br> (\psk@nEnd) length 0 gt { \psk@nEnd\space }{ m } ifelse <br>
/nEnd exch def<br> n {<br> m -2 roll<br> \psk@nStep\space 1 gt {<br> ncount \psk@nStart\space sub \psk@nStep\space mod 0 eq }{ true } ifelse<br> ncount nEnd le and<br> ncount \psk@nStart\space ge and not {<br>
pop pop<br> /m m 2 sub def<br> } if<br> /ncount ncount 1 add def<br> } repeat<br> } ifelse<br>}><br>%<br><br>\def\beginplot@PrintCoor{\begin@SpecialObj}<br>\def\endplot@PrintCoor{%<br>
\psPrintCoor@ii %\psk@fillstyle\ifpsshadow\pst@closedshadow\fi%<br> %\pst@stroke<br> \end@SpecialObj%<br>}<br>\define@key[psset]{pstricks-add}{relxerr}{\def\psk@relxerr{#1}}<br>\define@key[psset]{pstricks-add}{relyerr}{\def\psk@relyerr{#1}}<br>
\define@key[psset]{pstricks-add}{yShift}{\def\psk@yShift{#1}}<br>\define@boolkey[psset]{pstricks-add}[Pst@]{science}[true]{}%<br>\psset[pstricks-add]{science=false,relxerr=0.1,relyerr=0.1,yShift=0}<br>%Following is new pst-func.tex key which conflicts with mine. <br>
%Must specify [pstricks-add] in psset to correct.<br>%\define@boolkey[psset]{pst-add}[Pst@]{science}[true]{%<br>% \ifPst@science\def\psk@Scin{true }\else\def\psk@Scin{false }\fi}<br><br>\def\psPrintCoor@ii{%<br> \addto@pscode{%<br>
false <br> \tx@NArray<br> \pst@number\psxunit<br> \pst@number\psyunit<br> \psPrintCoor@iii<br>}}<br><br>\def\psPrintCoor@iii{%<br> /mfont { \psk@PSfont\space findfont \psk@fontscale\space scalefont setfont } bind def<br>
/mfontexp { \psk@PSfont findfont \psk@fontscale 1.2 div scalefont setfont } bind def<br> /s1 { /Symbol findfont \psk@fontscale\space scalefont setfont } bind def<br> /ttxspc \psk@fontscale\space 4 div def<br>
/txspc ttxspc 4 div def<br> %pop<br> /ysc ED<br> /xsc ED<br> n 0 eq not {% <br> n {%<br> ysc div /Yval ED <br> xsc div /Xval ED<br> \ifPst@science<br> %X Coordinate <br> Xval 0 gt { Xval log floor }{ Xval 0 lt { Xval -1 mul log floor }{ 0 } ifelse } ifelse <br>
cvi /xcoorexp ED <br> Xval 10 xcoorexp exp div <br> \psk@decimals\space -1 gt {%<br> 10 \psk@decimals\space exp dup 3 1 roll mul round exch div } if<br> \psk@decimals\space 0 eq { cvi } if /xcoor ED<br>
%Y Coordinate<br> Yval 0 gt { Yval log floor }{ Yval 0 lt { Yval -1 mul log floor }{ 0 } ifelse } ifelse <br> cvi /ycoorexp ED <br> Yval 10 ycoorexp exp div <br> \psk@decimals\space -1 gt {%<br> 10 \psk@decimals\space exp dup 3 1 roll mul round exch div } if<br>
\psk@decimals\space 0 eq { cvi } if /ycoor exch def<br> %Prep Strings<br> xcoorexp \psk@valuewidth\space string cvs /xcoorexp ED<br> ycoorexp \psk@valuewidth\space string cvs /ycoorexp ED <br> xcoor \psk@valuewidth\space string cvs /xcoor ED<br>
ycoor \psk@valuewidth\space string cvs /ycoor ED<br> %X Error<br> \psk@relxerr\space Xval mul /delx ED \psk@relxerr\space 0 ne {%<br> delx 0 gt { delx log floor }{ delx 0 lt { delx -1 mul log floor }{ 0 } ifelse } ifelse <br>
cvi /delxexp ED<br> delx 10 delxexp exp div dup mul sqrt<br> \psk@decimals\space -1 gt {%<br> 10 \psk@decimals\space exp dup 3 1 roll mul round exch div } if<br> \psk@decimals\space 0 eq { cvi } if /delx ED<br>
%Prep Strings<br> delxexp \psk@valuewidth\space string cvs /delxexp ED<br> delx \psk@valuewidth\space string cvs /delx ED } if<br> %Y Error <br> \psk@relyerr\space Yval mul /dely ED \psk@relyerr\space 0 ne {%<br>
dely 0 gt { dely log floor }{ dely 0 lt { dely -1 mul log floor }{ 0 } ifelse } ifelse <br> cvi /delyexp ED <br> dely 10 delyexp exp div dup mul sqrt<br> \psk@decimals\space -1 gt {%<br> 10 \psk@decimals\space exp dup 3 1 roll mul round exch div } if<br>
\psk@decimals\space 0 eq { cvi } if /dely ED<br> %Prep Strings<br> delyexp \psk@valuewidth\space string cvs /delyexp ED<br> dely \psk@valuewidth\space string cvs /dely ED } if<br> \else<br> Xval \psk@decimals\space -1 gt <br>
{ 10 \psk@decimals\space exp dup 3 1 roll mul round exch div } if<br> \psk@decimals\space 0 eq {cvi} if /xcoor ED<br> Yval \psk@decimals\space -1 gt <br> { 10 \psk@decimals\space exp dup 3 1 roll mul round exch div } if<br>
\psk@decimals\space 0 eq {cvi} if /ycoor ED<br> xcoor \psk@valuewidth\space string cvs /xcoor ED<br> ycoor \psk@valuewidth\space string cvs /ycoor ED<br> %<br> \psk@relxerr\space Xval mul dup mul sqrt <br>
\psk@decimals\space -1 gt <br> { 10 \psk@decimals\space exp dup 3 1 roll mul round exch div } if<br> \psk@decimals\space 0 eq {cvi} if /delx ED<br> \psk@relyerr\space Yval mul dup mul sqrt <br> \psk@decimals\space -1 gt <br>
{ 10 \psk@decimals\space exp dup 3 1 roll mul round exch div } if<br> \psk@decimals\space 0 eq {cvi} if /dely ED<br> delx \psk@valuewidth\space string cvs /delx ED<br> dely \psk@valuewidth\space string cvs /dely ED<br>
\fi<br>% <br> newpath<br> Xval xsc mul %\psk@xShift\space xsc mul add <br> Yval ysc mul %\psk@yShift\space ysc mul add<br> moveto <br> \Pst@Debug\space 0 gt { <br> mfont <br> Xval \psk@valuewidth\space string cvs show (,) show <br>
Yval \psk@valuewidth\space string cvs show }<br> {s1 (\string\050) show <br> mfont xcoor show<br> \ifPst@science <br> mfont (x) show<br> mfont (10) show <br> 0 ttxspc rmoveto mfontexp xcoorexp show<br>
\fi<br> \psk@relxerr\space 0 ne <br> { \ifPst@science <br> 0 ttxspc neg rmoveto s1 (\string\261) show<br> mfont delx show<br> mfont (x) show<br> mfont (10) show <br> 0 ttxspc rmoveto mfontexp delxexp show<br>
0 ttxspc neg rmoveto s1 (,) show<br> \else<br> s1 (\string\261) show<br> mfont delx show<br> s1 (,) show<br> \fi } <br> { \ifPst@science <br> 0 ttxspc neg rmoveto s1 (,) show<br>
\else<br> s1 (,) show<br> \fi } ifelse<br>%start on ycoor <br> mfont ycoor show<br> \ifPst@science <br> mfont (x) show<br> mfont (10) show <br> 0 ttxspc rmoveto mfontexp ycoorexp show<br>
\fi<br> \psk@relyerr\space 0 ne <br> { \ifPst@science <br> 0 ttxspc neg rmoveto s1 (\string\261) show <br> mfont dely show<br> mfont (x) show<br> mfont (10) show <br> 0 ttxspc rmoveto mfontexp delyexp show<br>
0 ttxspc neg rmoveto s1 (\string\051) show<br> \else<br> s1 (\string\261) show <br> mfont dely show<br> s1 (\string\051) show <br> \fi }<br> { s1 (\string\051) show } ifelse } ifelse<br>
} repeat } if }<br><br>%%%POLY FIT<br>\define@key[psset]{pstricks-add}{EqPos}[{}]{\def\psk@EqPos{#1}}<br>\define@key[psset]{pstricks-add}{MaPos}[{}]{\def\psk@MaPos{#1}}%added Feb3, 2012 Matrix out<br>\define@key[psset]{pstricks-add}{MaScale}[{}]{\def\psk@MaScale{#1}}%added Feb3, 2012 Matrix out<br>
\define@boolkey[psset]{pstricks-add}[Pst@]{ShowEq}[true]{}%<br>\psset{EqPos=,ShowEq=true,MaPos=0 0,MaScale=1}<br><br>\define@key[psset]{pstricks-add}{PolyOrder}[{}]{\def\psk@PolyOrder{#1}}<br>\define@boolkey[psset]{pstricks-add}[Pst@]{ReduceOrder}[true]{%these percents are critical removal results in shift to in x-dir<br>
\ifPst@ReduceOrder%<br>\def\psk@ReduceOrder{true}\else\def\psk@ReduceOrder{false}\fi}%<br>\define@boolkey[psset]{pstricks-add}[Pst@]{PowerFit}[true]{%these percents are critical removal results in shift to in x-dir<br>\ifPst@PowerFit%<br>
\def\psk@PowerFit{true}\def\psk@LogEFit{false}%<br>\def\psk@LogTFit{false}\def\psk@ExpFit{false}%<br>\def\psk@GaussFit{false}\def\psk@CustomFit{false}\def\psk@RecipFit{false}%<br>\else\def\psk@PowerFit{false}\fi}%<br>\define@boolkey[psset]{pstricks-add}[Pst@]{LogEFit}[true]{%<br>
\ifPst@LogEFit%<br>\def\psk@PowerFit{false}\def\psk@LogEFit{true}%<br>\def\psk@LogTFit{false}\def\psk@ExpFit{false}%<br>\def\psk@GaussFit{false}\def\psk@CustomFit{false}\def\psk@RecipFit{false}%<br>\else\def\psk@LogEFit{false}\fi}%<br>
\define@boolkey[psset]{pstricks-add}[Pst@]{LogTFit}[true]{%<br>\ifPst@LogTFit%<br>\def\psk@PowerFit{false}\def\psk@LogEFit{false}%<br>\def\psk@LogTFit{true}\def\psk@ExpFit{false}%<br>\def\psk@GaussFit{false}\def\psk@CustomFit{false}\def\psk@RecipFit{false}%<br>
\else\def\psk@LogTFit{false}\fi}%<br>\define@boolkey[psset]{pstricks-add}[Pst@]{ExpFit}[true]{%<br>\ifPst@ExpFit%<br>\def\psk@PowerFit{false}\def\psk@LogEFit{false}%<br>\def\psk@LogTFit{false}\def\psk@ExpFit{true}%<br>\def\psk@GaussFit{false}\def\psk@CustomFit{false}\def\psk@RecipFit{false}%<br>
\else\def\psk@ExpFit{false}\fi}%<br>\define@boolkey[psset]{pstricks-add}[Pst@]{GaussFit}[true]{%<br>\ifPst@GaussFit%<br>\def\psk@PowerFit{false}\def\psk@LogEFit{false}%<br>\def\psk@LogTFit{false}\def\psk@ExpFit{false}%<br>
\def\psk@GaussFit{true}\def\psk@CustomFit{false}\def\psk@RecipFit{false}%<br>\else\def\psk@GaussFit{false}\fi}%<br>\define@boolkey[psset]{pstricks-add}[Pst@]{RecipFit}[true]{%<br>\ifPst@RecipFit%<br>\def\psk@PowerFit{false}\def\psk@LogEFit{false}%<br>
\def\psk@LogTFit{false}\def\psk@ExpFit{false}%<br>\def\psk@GaussFit{false}\def\psk@CustomFit{false}\def\psk@RecipFit{true}%<br>\else\def\psk@RecipFit{false}\fi}%<br>\define@boolkey[psset]{pstricks-add}[Pst@]{CustomFit}[true]{%<br>
\ifPst@CustomFit%<br>\def\psk@PowerFit{false}\def\psk@LogEFit{false}%<br>\def\psk@LogTFit{false}\def\psk@ExpFit{false}%<br>\def\psk@GaussFit{false}\def\psk@CustomFit{true}\def\psk@RecipFit{false}%<br>\else\def\psk@CustomFit{false}\fi}%<br>
\define@key[psset]{pstricks-add}{FXtrans}[{}]{\def\psk@FXtrans{#1}}<br>\define@key[psset]{pstricks-add}{FYtrans}[{}]{\def\psk@FYtrans{#1}}<br>\define@key[psset]{pstricks-add}{RYtrans}[{}]{\def\psk@RYtrans{#1}}<br>\define@key[psset]{pstricks-add}{Yint}[{}]{\def\psk@Yint{#1}}<br>
\define@key[psset]{pstricks-add}{CheckZeroX}[{}]{\def\psk@CheckZeroX{#1}}<br>\define@key[psset]{pstricks-add}{CheckZeroY}[{}]{\def\psk@CheckZeroY{#1}}<br>\psset{PolyOrder=1,ReduceOrder=false,PowerFit=false,LogEFit=false,LogTFit=false,%<br>
ExpFit=false,GaussFit=false,RecipFit=false,CustomFit=false,%<br> FXtrans=,FYtrans=,RYtrans=,Yint=,CheckZeroX=,CheckZeroY=}<br><br>\def\beginplot@GLLSR{\begin@SpecialObj}<br>\def\endplot@GLLSR{%<br> \psGLLSR@ii\psk@fillstyle\ifpsshadow\pst@closedshadow\fi%<br>
\pst@stroke<br> \end@SpecialObj%<br>}<br>\def\psGLLSR@ii{\addto@pscode{false \tx@NArray \psGLLSR@iii }}<br>\def\psGLLSR@iii{%<br> %General Fit Model: y = a0 + a1*x + a2*x^2 + ... + an*x^n <br> %Define Fonts<br> /mfont { \psk@PSfont\space findfont \psk@fontscale\space scalefont setfont } bind def<br>
/mfontbig { \psk@PSfont\space findfont \psk@fontscale\space 2 mul scalefont setfont } bind def<br> /mfontexp { \psk@PSfont\space findfont \psk@fontscale\space 2 div scalefont setfont } bind def<br> mfont<br> %Default parameters<br>
(\psk@PolyOrder) length 0 gt { \psk@PolyOrder\space /order ED }{ /order 1 def } ifelse<br> /PolyEq true def <br> (\psk@Yint) length 0 gt <br> {\psk@Yint\space /Yint ED /setYint true def /ReduceOrder true def }<br> { /Yint 0 def /setYint false def /ReduceOrder false def} ifelse<br>
/CheckZeroX false def<br> /CheckZeroY false def<br> /FXtrans {1 mul} def<br> /FYtrans { Yint sub } def<br> /RYtrans {1 mul} def<br> /xPr {(x) show} def<br> %Special Fit Functions (Linear Transforms)<br> \psk@PowerFit\space { /order 1 def /CheckZeroX true def /CheckZeroY true def /PolyEq false def <br>
/FXtrans {log} def /FYtrans {Yint sub log} def /RYtrans {10 exch exp Yint add} def /ReduceOrder false def } if <br> \psk@LogTFit\space { /order 1 def /CheckZeroX true def /PolyEq true def <br> /xPr { (log) show (\string\050) show (x) show (\string\051) show } def<br>
/FXtrans {log} def /FYtrans {1 mul} def /RYtrans {1 mul} def } if %<br> \psk@LogEFit\space { /order 1 def /CheckZeroX true def /PolyEq true def <br> /xPr { (ln) show (\string\050) show (x) show (\string\051) show } def<br>
/FXtrans {ln} def /FYtrans {1 mul} def /RYtrans {1 mul} def } if %<br> \psk@ExpFit\space { /order 1 def /CheckZeroY true def /PolyEq false def <br> /FXtrans {1 mul} def /FYtrans {Yint sub ln} def /RYtrans {Euler exch exp Yint add} def /ReduceOrder false def } if %<br>
\psk@GaussFit\space { /order 2 def /CheckZeroY true def /PolyEq false def <br> /FXtrans {1 mul} def /FYtrans {Yint sub ln} def /RYtrans {Euler exch exp Yint add} def /ReduceOrder false def } if %<br> \psk@RecipFit\space { /order 1 def /CheckZeroX true def /PolyEq true def <br>
/xPr { (\string\050) show (1) show (\string\244) show (x) show (\string\051) show } def<br> /FXtrans { 1 exch div } def /FYtrans {1 mul} def /RYtrans {1 mul} def } if <br> \psk@CustomFit\space { /PolyFit false def <br>
(\psk@FXtrans) length 0 gt { {\psk@FXtrans\space} /FXtrans ED } if <br> (\psk@FYtrans) length 0 gt { {\psk@FYtrans\space} /FYtrans ED } if<br> (\psk@RYtrans) length 0 gt { {\psk@RYtrans\space} /RYtrans ED } if<br>
(\psk@CheckZeroX) length 0 gt { {\psk@CheckZeroX\space} /CheckZeroX ED } if<br> (\psk@CheckZeroY) length 0 gt { {\psk@CheckZeroY\space} /CheckZeroY ED } if <br> (\psk@ReduceOrder) length 0 gt { {\psk@ReduceOrder\space} /ReduceOrder ED } if } if %<br>
%Initialize Arrays<br> /A order 1 add order 1 add mul array def <br> /B order 1 add array def <br> /ai order 1 add array def<br> %Coordinate Conversion Operators X Y PLU -> Plot Units (pts), X Y RLU -> Real Units (arbitrary)<br>
/PLU {exch \pst@number\psxunit\space mul exch \pst@number\psyunit\space mul } def<br> /RLU {exch \pst@number\psxunit\space div exch \pst@number\psyunit\space div } def<br> /PRA { %Inputs: Array [ #rows #cols X Y Scale boolean(print equal sign) boolean(return) ]<br>
%"pra" prefix has been added to all variables to minimize chance of naming conflicts<br>% /praSc exch def /praYc exch def /praXc exch def <br>% /praCol exch def /praRow exch def /praARY exch def <br>
/praTemp exch def /praARY exch def <br> praTemp length 7 eq {%<br> %praTemp 4 get /praSc exch def <br> %praTemp 3 get /praYc exch def <br> %praTemp 2 get /praXc exch def <br> %praTemp 1 get /praCol exch def <br>
%praTemp 0 get /praRow exch def pop<br> /tempfontscale \psk@fontscale praTemp 4 get mul def<br> %/praXc praTemp 2 get \pst@number\psxunit\space mul def<br> /praYc praTemp 3 get \pst@number\psyunit\space mul def<br>
/praXmax -999999 def<br> /praYmin 999999 def<br> /prafont {\psk@PSfont\space findfont tempfontscale scalefont setfont} bind def<br> /prasym { /Symbol findfont tempfontscale 2 mul scalefont setfont} bind def<br>
prafont<br> praTemp 2 get \pst@number\psxunit\space mul praTemp 3 get \pst@number\psyunit\space mul moveto<br> praARY length praTemp 1 get praTemp 0 get mul eq not { (Row x Col > Vector Dim) show }{%<br>
/praXstart praTemp 2 get \pst@number\psxunit\space mul def<br> 0 1 praTemp 1 get 1 sub {/praj ED<br> 0 1 praTemp 0 get 1 sub {/prai ED /prak praj praTemp 1 get prai mul add def<br> praARY prak get \psk@valuewidth string cvs show<br>
currentpoint pop dup praXmax gt { /praXmax ED }{ pop } ifelse <br> currentpoint pop praXstart sub neg tempfontscale 1.5 mul neg rmoveto<br> } for<br> currentpoint exch pop dup praYmin lt { /praYmin ED }{ pop } ifelse <br>
/praXstart praXmax tempfontscale 0.75 mul add def<br> praXstart praTemp 3 get \pst@number\psyunit\space mul moveto <br> } for <br> %Brackets<br> newpath<br> praTemp 2 get \pst@number\psxunit\space mul tempfontscale 0.125 mul add <br>
praTemp 3 get \pst@number\psyunit\space mul tempfontscale add moveto <br> praTemp 2 get \pst@number\psxunit\space mul tempfontscale 0.125 mul sub <br> praTemp 3 get \pst@number\psyunit\space mul tempfontscale add lineto <br>
praTemp 2 get \pst@number\psxunit\space mul tempfontscale 0.125 mul sub <br> praYmin tempfontscale add lineto<br> praTemp 2 get \pst@number\psxunit\space mul tempfontscale 0.125 mul add <br> praYmin tempfontscale add lineto<br>
stroke <br> newpath<br> praXmax tempfontscale 0.125 mul sub <br> praTemp 3 get \pst@number\psyunit\space mul tempfontscale add moveto <br> praXmax tempfontscale 0.125 mul add <br>
praTemp 3 get \pst@number\psyunit\space mul tempfontscale add lineto <br> praXmax tempfontscale 0.125 mul add <br> praYmin tempfontscale add lineto<br> praXmax tempfontscale 0.125 mul sub <br>
praYmin tempfontscale add lineto<br> stroke <br> praTemp 5 get { <br> praXmax tempfontscale add <br> praTemp 3 get \pst@number\psyunit\space mul tempfontscale add praYmin add 2 div moveto<br>
prasym (=) show currentpoint pop /praXmax ED} if<br> %Left Bracket<br> praTemp 2 get \pst@number\psxunit\space mul praYmin tempfontscale 2 mul sub moveto %Return to bottom left<br> %the following are defined for use with cascade calls to PRA<br>
% (Xl,Yb) - Print next matrix below last<br> % (Xr,Yt) - Print next matrix beside last<br> % (Xr,Yb) - Print next matrix beside and below last<br> tx@Dict /praYb known {<br> praYmin tempfontscale 1.5 mul sub \pst@number\psyunit\space div praYb lt {<br>
/praYb praYmin tempfontscale 1.5 mul sub \pst@number\psyunit\space div def } if }<br> { /praYb praYmin tempfontscale 1.5 mul sub \pst@number\psyunit\space div def } ifelse<br> /praYb praYmin tempfontscale 1.5 mul sub \pst@number\psyunit\space div def<br>
%<br> tx@Dict /praXl known not {/praXl praTemp 2 get def } if<br> % { praTemp 6 get {/praXl praTemp 2 get def} if } ifelse <br> tx@Dict /praYt known not {/praYt praTemp 3 get def }<br> { praTemp 6 get {/praYt praYb def} if } ifelse<br>
%<br> tx@Dict /praXr known {<br> praTemp 6 get { /praXr praXl def }{ /praXr praXmax tempfontscale add \pst@number\psxunit\space div def } ifelse }{%<br> /praXr praXmax tempfontscale add \pst@number\psxunit\space div def } ifelse<br>
\psk@PSfont\space findfont \psk@fontscale\space scalefont setfont } ifelse<br> }{ \psk@PSfont\space findfont \psk@fontscale\space scalefont setfont <br> 0 0 moveto (PRA Error Not Enough Parameters) show } ifelse } def<br>
0 1 A length 1 sub { A exch 0 put } for<br> 0 1 B length 1 sub { B exch 0 put } for<br> 0 1 ai length 1 sub { ai exch 0 put } for<br> %%%%%%%%<br> %Remove Zero Data (As Required By Transformation Functions)<br> CheckZeroX CheckZeroY or {<br>
n { /tmpx false def /tmpy false def<br> CheckZeroY { dup \pst@number\psyunit\space div Yint sub 0 le { /tmpy true def } if } if <br> CheckZeroX { exch dup \pst@number\psxunit\space div 0 le { /tmpx true def } if exch } if<br>
tmpx tmpy or { pop pop /n n 1 sub def }{ n 2 mul 2 roll } ifelse<br> } repeat } if<br> %%%<br> %%%%<br> %Determine Max/Min X for Plotting<br> exch dup dup <br> \pst@number\psxunit\space div /xEnd ED <br> \pst@number\psxunit\space div /xStart ED <br>
exch<br> /ybar 0 def<br> n { % number of data pairs<br> dup \pst@number\psyunit\space div ybar add /ybar ED <br> 2 copy %copy point<br> \pst@number\psyunit\space div /Yval ED <br>
\pst@number\psxunit\space div /Xval ED<br> Xval xStart lt { /xStart Xval def } if % find the lowest xi<br> Xval xEnd gt { /xEnd Xval def } if % find the largest xi<br> n 2 mul 2 roll %roll the original point to the bottom of the stack<br>
} repeat<br> ybar n div /ybar ED<br> %Scale X & Y variables and apply Linear Transform if applicable<br> n {<br> \pst@number\psyunit\space div FYtrans<br> n 2 mul 1 roll<br> \pst@number\psxunit\space div FXtrans<br>
n 2 mul 1 roll<br> } repeat<br> %START ASSEMBLY OF LEAST SQUARES MATRIX<br> 1 1 order 1 add { /ci exch def <br> 1 1 ci { /cj exch def<br> /epk ci cj add 2 sub def <br> /sum 0 def<br> n { n 2 mul 1 roll<br>
dup epk exp sum add /sum ED<br> n 2 mul 1 roll<br> } repeat<br> A <br> ci 1 sub order 1 add mul cj add 1 sub <br> sum put %i row, j col standard<br> A <br> cj 1 sub order 1 add mul ci add 1 sub <br>
sum put %j row, i col reversed<br> } for<br> /sum 0 def<br> 1 1 n { /cl exch def<br> 2 copy <br> exch <br> ci 1 sub exp mul sum add /sum ED<br> n 2 mul 2 roll<br> } for<br> B<br> ci 1 sub <br>
sum put<br> } for<br> \Pst@Debug\space 1 eq {<br> %A [ order 1 add order 1 add 5 20 0.5 false false ] PRA<br> A [ order 1 add order 1 add \psk@MaPos\space \psk@MaScale\space true false ] PRA<br> B [ order 1 add 1 praXr praYt \psk@MaScale\space false true ] PRA<br>
} if<br> %END OF ASSEMBLE MATRIX<br> %REDUCE ORDER FOR Y INTERCEPT FOR MODELS WHICH ARE APPROPRIATE<br> ReduceOrder {<br> /elemOld { exch 1 sub order 1 add mul add 1 sub } def<br> /elemNew { exch 2 sub order mul add 2 sub } def <br>
/dummyA order order mul array def <br> 0 1 dummyA length 1 sub { dummyA exch 0 put } for <br> /dummyB order array def <br> 0 1 dummyB length 1 sub { dummyB exch 0 put } for<br> /ai order array def<br>
0 1 ai length 1 sub { ai exch 0 put } for<br> %Translate A to dummyA<br> 2 1 order 1 add {/ci ED<br> 2 1 order 1 add {/cj ED<br> dummyA ci cj elemNew<br> A ci cj elemOld get<br> put<br>
} for <br> dummyB ci 2 sub<br> B ci 1 sub get<br> put<br> } for <br> /order order 1 sub def %temporarily reduce system order<br> /A order 1 add order 1 add mul array def 0 1 A length 1 sub {/ci ED A ci dummyA ci get put } for %put dummyA in new A<br>
/B order 1 add array def 0 1 B length 1 sub {/ci ED B ci dummyB ci get put } for %put dummyB in new B<br> \Pst@Debug\space 1 eq {<br> A [ order 1 add order 1 add praXr praYt \psk@MaScale\space true false ] PRA<br>
B [ order 1 add 1 praXr praYt \psk@MaScale\space false true ] PRA } if<br> \tx@GaussSolve<br> /order order 1 add def %restore system order<br> /m m 1 add def<br> % \Pst@Debug\space 1 eq {<br>
%ai [ order 1 add 1 praXr praYt \psk@MaScale\space false false ] PRA } if<br> /dummyai order 1 add array def<br> 0 1 dummyai length 1 sub {/ci ED dummyai ci 0 put } for<br> 0 1 ai length 1 sub {/ci ED dummyai ci 1 add ai ci get put } for<br>
/ai dummyai def<br> ai 0 Yint put<br> %ai [ order 2 sub 1 0 0 \psk@MaScale\space true false ] PRA<br> }{ \tx@GaussSolve } ifelse<br> %\Pst@Debug\space 1 eq {<br> %ai [ order 1 add 1 praXr praYt \psk@MaScale\space false false ] PRA } if<br>
%%%%%%%%%%%%%%%%%%%%%%%%%%<br> %% END SOLVE CURVE FITS %%<br> %%%%%%%%%%%%%%%%%%%%%%%%%%<br> %%%%%%%%%%%%%%%%%%%%%<br> %% PLOT CURVE FITS %%<br> %%%%%%%%%%%%%%%%%%%%%<br> newpath<br> (\psk@xStart) length 0 gt % special start value?<br>
{ \psk@xStart\space /xStart ED } if <br> (\psk@xEnd) length 0 gt % special end value?<br> { \psk@xEnd\space /xEnd ED } if <br> /xStep xEnd xStart sub \psk@plotpoints\space div def<br> /Xnow xStart def<br>
/Ynow 0 def<br> 1 1 m { /ci exch def ai ci 1 sub get ci 1 sub { Xnow FXtrans mul } repeat Ynow add /Ynow exch def } for <br> Xnow Ynow RYtrans PLU moveto<br> \psk@plotpoints\space cvi<br> { /Xnow Xnow xStep add def<br>
/Ynow 0 def<br> 1 1 m { /ci exch def ai ci 1 sub get ci 1 sub { Xnow FXtrans mul } repeat Ynow add /Ynow exch def } for<br> Xnow Ynow RYtrans PLU lineto<br> } repeat<br> %<br> /yminusdot 0 def<br> /yminusbar 0 def<br>
n {<br> 2 copy<br> /Ynow ED<br> /Xnow ED<br> /Ydot 0 def<br> 1 1 m { /ci exch def <br> ai ci 1 sub get ci 1 sub { Xnow mul } repeat Ydot add /Ydot exch def } for %<br> Ynow Ydot sub dup mul yminusdot add /yminusdot ED<br>
Ynow ybar sub dup mul yminusbar add /yminusbar ED<br> n 2 mul 2 roll<br> } repeat<br> 1 yminusdot yminusbar div sub /rsquared ED<br> %%%%%%%%%%%%%%%%%%%%%%%%%<br> %% END PLOT CURVE FITS %%<br> %%%%%%%%%%%%%%%%%%%%%%%%%<br>
%%%%%%%%%%%%%%%%%%%%%%%%%%%<br> %% START PRINT EQUATIONS %%<br> %%%%%%%%%%%%%%%%%%%%%%%%%%%<br> \ifPst@ShowEq<br> % Setup Cursor<br> (\psk@EqPos) length 0 gt<br> {\psk@EqPos\space PLU }<br> {2 -5 PLU } ifelse moveto <br>
% Power Fit Equation %<br> \psk@PowerFit\space {<br> 10 ai 0 get exp<br> \psk@decimals\space -1 gt <br> { 10 \psk@decimals exp dup 3 1 roll mul round exch div } if<br> \psk@decimals\space 0 eq { cvi } if /tmpA exch def<br>
ai 1 get <br> \psk@decimals\space -1 gt <br> { 10 \psk@decimals exp dup 3 1 roll mul round exch div } if<br> \psk@decimals\space 0 eq { cvi } if /tmpB exch def<br> (y = ) show<br> tmpA \psk@valuewidth string cvs show<br>
(x) show<br> 0 \psk@fontscale 4 div rmoveto <br> mfontexp tmpB \psk@valuewidth string cvs show mfont<br> 0 \psk@fontscale 4 div neg rmoveto<br> setYint Yint 0 ne and { Yint 0 gt { (+) show } if Yint \psk@valuewidth string cvs show } if } if<br>
% Exponential Fit Equation %<br> \psk@ExpFit\space {<br> Euler ai 0 get exp<br> \psk@decimals\space -1 gt <br> { 10 \psk@decimals exp dup 3 1 roll mul round exch div } if<br> \psk@decimals\space 0 eq { cvi } if /tmpA exch def<br>
Euler ai 1 get exp<br> \psk@decimals\space -1 gt <br> { 10 \psk@decimals exp dup 3 1 roll mul round exch div } if<br> \psk@decimals\space 0 eq { cvi } if /tmpB exch def<br> (y = ) show<br> (\string\050) show tmpA \psk@valuewidth string cvs show (\string\051) show<br>
%(e) show<br> (\string\264) show<br> %0 \psk@fontscale 4 div rmoveto <br> %mfontexp tmpB \psk@valuewidth string cvs show <br> (\string\050) show tmpB \psk@valuewidth string cvs show (\string\051) show<br> 0 \psk@fontscale 2 div rmoveto<br>
mfontexp (x) show mfont <br> 0 \psk@fontscale 2 div neg rmoveto<br> setYint Yint 0 ne and { Yint 0 gt { (+) show } if Yint \psk@valuewidth string cvs show } if} if<br> % Gaussian Fit Equation %<br> \psk@GaussFit\space {<br>
/tmpA Euler ai 0 get ai 1 get dup mul 4 div ai 2 get div sub exp def<br> /tmpB ai 1 get 2 div ai 2 get div def <br> /tmpC ai 2 get def<br> tmpA<br> \psk@decimals\space -1 gt <br> { 10 \psk@decimals exp dup 3 1 roll mul round exch div } if<br>
\psk@decimals\space 0 eq { cvi } if /tmpA exch def<br> tmpB <br> \psk@decimals\space -1 gt <br> { 10 \psk@decimals exp dup 3 1 roll mul round exch div } if<br> \psk@decimals\space 0 eq { cvi } if /tmpB exch def<br>
tmpC <br> \psk@decimals\space -1 gt <br> { 10 \psk@decimals exp dup 3 1 roll mul round exch div } if<br> \psk@decimals\space 0 eq { cvi } if /tmpC exch def<br> (y = ) show<br> tmpA 30 string cvs show<br> (e) show<br>
0 \psk@fontscale 4 div rmoveto <br> mfontexp tmpC \psk@valuewidth string cvs show <br> (\string\(x) show<br> tmpB 0 ne { tmpB 0 ge { (+) show } if tmpB \psk@valuewidth string cvs show } if<br> (\string\)) show<br> 0 \psk@fontscale 4 div rmoveto (2) show mfont<br>
0 \psk@fontscale 2 div neg rmoveto<br> setYint Yint 0 ne and { Yint 0 gt { (+) show } if Yint \psk@valuewidth string cvs show } if } if<br> %%%%%%%%%%%%%%%<br> % Round Coeff %<br> %%%%%%%%%%%%%%%<br> 0 1 ai length 1 sub {/ci exch def<br>
ai ci get <br> \psk@decimals\space -1 gt <br> { 10 \psk@decimals exp dup 3 1 roll mul round exch div } if<br> \psk@decimals\space 0 eq { cvi } if <br> ai ci 3 -1 roll put } for<br> %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%<br>
% Plot Polynomial (including Linear) Fit %<br> %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%<br> PolyEq { (y =) show <br> 1 1 m { /ci exch def <br> ai ci 1 sub get 30 string cvs show<br> ci 1 sub 0 gt { xPr } if<br>
ci 1 sub 1 gt {%<br> 0 \psk@fontscale 4 div rmoveto ci 1 sub 30 string cvs show <br> 0 \psk@fontscale 4 div neg rmoveto } if <br> ci m eq not { ai ci get 0 lt {}{ (+) show } ifelse } if<br>
} for } if<br> %Print Rsquared<br> rsquared<br> \psk@decimals\space -1 gt <br> { 10 \psk@decimals exp dup 3 1 roll mul round exch div } if<br> \psk@decimals\space 0 eq { cvi } if /rsquared exch def<br> \psk@EqPos\space PLU moveto<br>
0 \psk@fontscale 1.5 mul neg rmoveto <br> (R) show<br> 0 \psk@fontscale 2 div rmoveto<br> mfontexp (2) show mfont<br> 0 \psk@fontscale 2 div neg rmoveto<br> ( = ) show<br> rsquared \psk@valuewidth string cvs show<br>
\fi <br>} <br>%<br>\def\tx@GaussSolve{GaussSolve }<br>\pst@def{GaussSolve}<{%<br>%Required Variables<br>%order,A,B,ai<br> /er 1 def %<br> /tol 0.00001 def %<br> /m order 1 add def %number of equations<br> /Aout m m mul array def %This is for printing the scaled identity matrix which A becomes<br>
0 1 Aout length 1 sub { Aout exch 0 put } for<br> /elem { exch 1 sub m mul add 1 sub } def %Array i j<br> %DETERMINE SCALE FACTORS<br> /sc m array def %row scale factors<br> 0 1 sc length 1 sub { sc exch 0 put } for<br>
1 1 m { /ci exch def <br> sc<br> ci 1 sub<br> A ci 1 elem get <br> dup mul sqrt <br> put<br> 2 1 m { /cj exch def<br> A ci cj elem get<br> dup mul sqrt<br> sc ci 1 sub get gt {%<br> sc<br>
ci 1 sub<br> A ci cj elem get<br> dup mul sqrt<br> put } if <br> } for<br> % 1 ci mul 1 sc ci 1 sub get 30 string cvs show<br> } for <br> %END OF SCALE FACTORS<br> %CALL ELIMINATE<br> order 1 ge {%<br>
1 1 m 1 sub { /ck exch def<br> %Call Pivot<br> /p ck def<br> A ck ck elem get<br> sc ck 1 sub get div<br> dup mul sqrt<br> /big exch def<br> ck 1 add 1 m {/cii exch def<br> A cii ck elem get<br>
sc cii 1 sub get div<br> dup mul sqrt<br> /dummy exch def<br> dummy big gt { /big dummy def /p cii def } if<br> } for<br> p ck eq not { <br> ck 1 m {/cjj exch def<br> A p cjj elem get<br>
/dummy exch def<br> A p cjj elem<br> A ck cjj elem get<br> put<br> A ck cjj elem<br> dummy<br> put<br> } for<br> B p 1 sub get<br> /dummy exch def<br> B p 1 sub <br> B ck 1 sub get<br>
put<br> B ck 1 sub <br> dummy<br> put<br> sc p 1 sub get<br> /dummy exch def<br> sc p 1 sub <br> sc ck 1 sub get<br> put<br> sc ck 1 sub <br> dummy<br> put<br> } if <br> %End Pivot<br>
%Back to Eliminate<br> A ck ck elem get <br> sc ck 1 sub get div<br> dup mul sqrt tol lt { /er -1 def } if<br> ck 1 add 1 m { /ci exch def <br> A ci ck elem get<br> A ck ck elem get div<br> /factor exch def<br>
%ck 1 add 1 m { /cj exch def <br> 1 1 m { /cj exch def %Line Changed from above, requires more calcs but allows debugging of matrix ops.<br> A ci cj elem %index<br> A ci cj elem get<br> A ck cj elem get<br>
factor <br> mul sub %value<br> put<br> } for<br> B ci 1 sub %index<br> B ci 1 sub get <br> B ck 1 sub get<br> factor <br> mul sub %value<br> put<br> } for<br> } for<br>
\Pst@Debug\space 1 eq {<br> A [ order 1 add order 1 add praXr praYt \psk@MaScale\space true false ] PRA<br> B [ order 1 add 1 praXr praYt \psk@MaScale\space false true ] PRA<br> } if <br> } if<br> %Start Back Substitution<br>
%Add Error check for er -1<br> ai m 1 sub<br> B m 1 sub get<br> A m m elem get<br> div put<br> %%%%Added for debug<br> Aout m m elem<br> A m m elem get dup div <br> put<br> %%%%<br> order 1 ge {%<br> m 1 sub -1 1 { /ci exch def<br>
/sum 0 def<br> ci 1 add 1 m { /cj exch def<br> A ci cj elem get<br> ai cj 1 sub get<br> mul sum add<br> /sum exch def<br> } for<br> ai ci 1 sub<br> B ci 1 sub get<br> sum sub<br> A ci ci elem get<br>
div put<br> %%%%Added for debug<br> Aout ci ci elem<br> A ci ci elem get dup div <br> put<br> %%%%<br> } for<br> A ck ck elem get<br> sc ck 1 sub get div<br> dup mul sqrt tol lt { /er -1 def } if <br>
} if <br> \Pst@Debug\space 1 eq {<br> Aout [ order 1 add order 1 add praXr praYt \psk@MaScale\space true false ] PRA<br> ai [ order 1 add 1 praXr praYt \psk@MaScale\space false false ] PRA } if}><br><br>\makeatother<br>
<br>\begin{document}<br>\pagestyle{empty}<br>\pagenumbering{arabic}<br>%<br>\readdata[ignoreLines=0]{\Gauss}{gauss.dat}<br>\readdata[ignoreLines=0]{\Power}{power.dat}<br>\readdata[ignoreLines=0]{\King}{king.dat}<br>\readdata[ignoreLines=0]{\Exp}{exp.dat}<br>
\readdata[ignoreLines=0]{\Linear}{linear.dat}<br>\readdata[ignoreLines=0]{\LinearA}{linearA.dat}<br>\readdata[ignoreLines=0]{\Recip}{recip.dat}<br>\readdata[ignoreLines=0]{\Poly}{poly.dat}<br>\readdata[ignoreLines=0]{\Logt}{logt.dat}<br>
\readdata[ignoreLines=0]{\Loge}{loge.dat}<br>%<br>%<br>\psset{xAxisLabel=x, %Setup for psgraph env<br> yAxisLabel=y,<br> xAxisLabelPos=,<br> yAxisLabelPos=}<br>\psset{xunit=1,yunit=1}<br><br>%Fit of Linear Function<br>
%Replaces LSM using default options<br>\begin{figure}<br>\centering<br>\begin{psgraph}[arrows=->,Dx=1,Dy=2,xsubticks=1,ysubticks=1](0,0)(0,0)(10,30){4.5in}{4.5in}<br>\listplot[decimals=2,EqPos=3 15,plotstyle=GLLSR]{\Linear}<br>
\listplot[plotstyle=dots]{\Linear}<br>\end{psgraph}<br>\end{figure}<br><br>%Fit of Power Function<br>\begin{figure}<br>\centering<br>\begin{psgraph}[arrows=->,Dx=1,Dy=50,xsubticks=1,ysubticks=1](0,0)(0,0)(10,1000){4.5in}{4.5in}<br>
\listplot[decimals=2,EqPos=1 800,plotstyle=GLLSR,PowerFit]{\Power}<br>\listplot[plotstyle=dots]{\Power}<br>%\listplot[EqPos=5 4,plotstyle=GLLSR,CustomFit,CheckZeroX=true,CheckZeroY=true,FYtrans=log,RYtrans=10 exch %exp,FXtrans=log]{\Power}<br>
\end{psgraph}<br>\end{figure}<br><br>%Fit of exp Function<br>\begin{figure}<br>\centering<br>\begin{psgraph}[arrows=->,Dx=1,Dy=1000,xsubticks=1,ysubticks=1](0,0)(0,0)(10,10000){4.5in}{4.5in}<br>\listplot[PstDebug=1,decimals=2,EqPos=4 2000,MaPos=5 7000,plotstyle=GLLSR,ExpFit]{\Exp}<br>
\listplot[plotstyle=dots]{\Exp}<br>\end{psgraph}<br>\end{figure}<br><br>%Fit of Log10/Loge Functions<br>\begin{figure}<br>\centering<br>\begin{psgraph}[arrows=->,Dx=1,Dy=2,xsubticks=1,ysubticks=1](0,0)(0,0)(10,50){4.5in}{4.5in}<br>
\listplot[decimals=2,EqPos=5 10,plotstyle=GLLSR,LogTFit]{\Logt}<br>\listplot[decimals=2,plotstyle=dots]{\Logt}<br>\listplot[decimals=2,EqPos=5 28,plotstyle=GLLSR,LogEFit]{\Loge}<br>\listplot[decimals=2,plotstyle=dots]{\Loge}<br>
%\listplot[EqPos=5 4,plotstyle=GLLSR,CustomFit,CheckZeroX=true,CheckZeroY=true,FYtrans=Yint dup mul sub %log,RYtrans=10 exch exp Yint dup mul add,FXtrans=log]{\Linear}<br>\end{psgraph}<br>\end{figure}<br><br>%Fit of Recip<br>
\begin{figure}<br>\centering<br>\begin{psgraph}[arrows=<->,Dx=1,Dy=10,xsubticks=1,ysubticks=1](0,0)(0,0)(10,100){4.5in}{4.5in}<br>\listplot[decimals=2,EqPos=5 2,plotstyle=GLLSR,RecipFit]{\Recip}<br>\listplot[plotstyle=dots]{\Recip}<br>
\end{psgraph}<br>\end{figure}<br><br>%Fit of Kings Law data<br>\begin{figure}<br>\centering<br>\begin{psgraph}[arrows=->,Dx=1,Dy=1,xsubticks=1,ysubticks=1](0,0)(0,0)(10,20){4.5in}{4.5in}<br>\pstScalePoints(1,1){}{dup mul}<br>
\listplot[decimals=2,EqPos=5 2,plotstyle=GLLSR,PowerFit,Yint=5]{\King}<br>\listplot[plotstyle=dots]{\King}<br>\pstScalePoints(1,1){}{}<br>\end{psgraph}<br>\end{figure}<br><br>%Fit of Guassian<br>\begin{figure}<br>\centering<br>
\begin{psgraph}[arrows=->,Dx=1,Dy=0.1,xsubticks=1,ysubticks=1](0,0)(-10,0)(10,1){4.5in}{4.5in}<br>\listplot[plotstyle=dots]{\Gauss}<br>\listplot[decimals=2,EqPos=5 0.4,plotstyle=GLLSR,GaussFit,plotpoints=400]{\Gauss}<br>
\end{psgraph}<br>\end{figure}<br><br>%Fit of 4th Order Polynomial<br>\begin{figure}<br>\centering<br>\begin{psgraph}[arrows=->,Dx=1,Dy=100,xsubticks=1,ysubticks=1](0,0)(0,-600)(10,600){4.5in}{4.5in}<br>\listplot[plotstyle=dots]{\Poly}<br>
%note that the valuewidth needs to be large for debugging matrices<br>\listplot[valuewidth=20,PstDebug=1,decimals=2,EqPos=0.5 -200,plotstyle=GLLSR,MaPos=7 500,MaScale=0.5,PolyOrder=4,plotpoints=400,Yint=500]{\Poly}<br>\listplot[linestyle=dashed,decimals=2,EqPos=0.5 -400,plotstyle=GLLSR,PolyOrder=4,plotpoints=400]{\Poly}<br>
%\listplot[decimals=2,EqPos=0.5 -200,plotstyle=GLLSR,PolyOrder=10,plotpoints=400]{\Power}<br>\end{psgraph}<br>\end{figure}<br><br>%LinetoXAxis respects scalepoints.<br>\begin{figure}<br>\centering<br>\begin{psgraph}[arrows=<->,Dx=1,Dy=1,xsubticks=1,ysubticks=1](0,0)(0,0)(10,10){4in}{4in}<br>
\pstScalePoints(0.5,0.25){2 add}{16 add}<br>\listplot[plotstyle=line]{\Linear}<br>\listplot[arrows=<-,plotstyle=LineToXAxis]{\Linear}<br>\pstScalePoints(1,1){}{}<br>\rput[lb](1,2){Scaled fluid velocity distribution on a plot of the physical system.}<br>
\end{psgraph}<br>\end{figure}<br><br>%Prepare Points Modification<br>\begin{figure}<br>\centering<br>\begin{psgraph}[arrows=->,Dx=1,Dy=1,xsubticks=1,ysubticks=1](0,0)(0,0)(15,30){4.5in}{4.5in}<br>\listplot[plotstyle=line,plotNoMax=2,plotNo=1]{\LinearA}<br>
\listplot[plotstyle=line,plotNoMax=2,plotNo=2]{\LinearA}<br>\listplot[plotstyle=line,linestyle=dashed,plotNoMax=2,plotNo=1,plotNoTwo=2,plotNoTwoFunc=add 2 div]{\LinearA}<br>\rput[lb](10,18){1st Column}<br>\rput[lb](10,29){2nd Column}<br>
\rput[lb](10,24){Average of 1st and 2nd Columns}<br>\end{psgraph}<br>\end{figure}<br><br>%PrintCoor Demo<br>\begin{figure}<br>\centering<br>\begin{psgraph}[arrows=->,Dx=1,Dy=1,xsubticks=1,ysubticks=1](0,0)(0,0)(10,15){4.5in}{4.5in}<br>
%PrintCoor Demo<br>\psset{xEnd=,xStart=,decimals=2,valuewidth=50,fontscale=10,PstDebug=1}<br>\pstScalePoints(1,1){0.75 mul}{0.5 exp 3 mul}<br>\listplot[plotstyle=PrintCoor,plotNoMax=1,plotNo=1,PstDebug=0,relxerr=0,relyerr=0.1]{\Linear}<br>
\listplot[plotstyle=dots,plotNoMax=1,plotNo=1]{\Linear}<br>\pstScalePoints(1,1){}{}<br>\end{psgraph}<br>\end{figure}<br>\end{document}<br>