# [pstricks] multido

Zbigniew Nitecki zbigniew.nitecki at tufts.edu
Fri Nov 21 19:26:31 CET 2008

The following is copied from one of Herbert's responses to someone else:
********************************************************************************
\documentclass{article}
\usepackage{amsmath}

\begin{document}

\begin{center}
\psset{xunit=2cm,yunit=2cm,algebraic=true}
\begin{pspicture}[showgrid=true](-5,-5)(1,1)
\psaxes{->}(0,0)(-5,-5)(1,1)[$x$,-90][$y$,180]%
\rput(-2,-3){{$y=\dfrac{-2x+8}{~~2x-2}$}}%
\psplot {-5}{0.10}{x }%
\psplot[linecolor=red,linewidth=1.5pt]{-5}{0.10}{(-2*x+8)/(2*x-2)}%
\def\function{ -2 xVal mul 8 add 2 xVal mul -2 add div }%
\pstVerb{ /xVal 0 def }% start value
\multido{\nA=0+1}{4}{%
\psline[linecolor=blue,linewidth=1.5pt]{->}(! xVal xVal )(! xVal
\function )
\psline[linecolor=blue,linewidth=1.5pt]{->}(! xVal \function )(!
\function\space dup)
\pstVerb{ /xVal \function\space def}
\psline[linestyle=dashed,linecolor=blue]{->}(! xVal xVal)(! xVal 0 )
\uput{1ex}[90](! xVal 0 ){$v_{\nA}$}
}
\end{pspicture}
\end{center}

\end{document}
********************************************************************************************
I am trying to use this as a model for plotting a function using a
rectangular grid, but over
a non-rectangular region.  My basic question can be formulated even
letting the function be
the zero constant:  so filling say the circle of radius 1 in the xy-
plane with lines parallel to the
coordinate axes, spaced 0.25 apart.  My model is as follows, but my
question is what goes in the places marked with ??: I can't understand
where in the example above the value of xVal is
incremented, or equivalently, the role of \nA.  Of course, if I am
making other sytactic errors,
***********************************************************************************************
\def\function{1 tVal dup mul sub exp 0.5}
\pstVerb{tVal -0.75 def}
\multido{??=??}{6}{%
\psline(!\function \neg tVal)(!\function tVal)
\psline{!tVal \function \neg){!tVal \function)
}
***************************************************************************************************

Zbigniew Nitecki
Department of Mathematics
Tufts University
Medford, MA 02155

telephones:
Office    (617)627-3843
Dept.    (617)627-3234
Dept. fax    (617)627-3966
http://www.tufts.edu/~znitecki/

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