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\documentclass{article}
\usepackage{axiom}
\begin{document}
\title{\$SPAD/src/input vectors.input}
\author{The Axiom Team}
\maketitle
\begin{abstract}
\end{abstract}
\eject
\tableofcontents
\eject
\section{License}
<<license>>=
--Copyright The Numerical Algorithms Group Limited 1991.
@
<<*>>=
<<license>>
)r arrows
clipValue :SF := 6
clipFun(x) == min(max(x,-clipValue),clipValue)
realSteps :INT := 25
imagSteps :INT := 25
C := Complex SF
S := Segment SF
drawComplexVectorField :(C -> C, S, S) -> VIEW3D
drawComplexVectorField(f,realRange,imagRange) ==
delReal := (hi realRange - lo realRange)/realSteps
delImag := (hi imagRange - lo imagRange)/imagSteps
sp := create3Space()$ThreeSpace SF
real := lo realRange
for i in 1..realSteps + 1 repeat
imag := lo imagRange
for j in 1..imagSteps + 1 repeat
z := f complex(real, imag)
arg := argument z
len := clipFun sqrt norm z
p1 := point[real, imag, 0.0@SF, arg]
scaleLen := delReal * len
p2 := point[p1.1 + scaleLen * cos(arg),
p1.2 + scaleLen * sin(arg), 0.0@SF, arg]
arrow := makeArrow(p1, p2)
for a in arrow repeat curve(sp, a)
imag := imag + delImag
real := real + delReal
makeViewport3D(sp, "Complex Vector Field")$VIEW3D
drawComplex :(C->C, S, S) -> VIEW3D
drawComplex(f, realRange, imagRange) ==
deltaReal :SF := (hi realRange - lo realRange)/realSteps
deltaImag :SF := (hi imagRange - lo imagRange)/imagSteps
llp:List List Point SF := []
real :SF := lo realRange
for i in 1..realSteps + 1 repeat
imag :SF := lo imagRange
lp := []$(List Point SF)
for j in 1..imagSteps + 1 repeat
z :COMPLEX SF := f(complex(real, imag))
pt :Point SF := point[real, imag, clipFun sqrt norm z, argument z]
lp := cons(pt, lp)
imag := imag + deltaImag
real := real + deltaReal
llp := cons(reverse! lp, llp)
llp := reverse! llp
makeViewport3D(mesh(llp), "Complex Function")$VIEW3D
@
\eject
\begin{thebibliography}{99}
\bibitem{1} nothing
\end{thebibliography}
\end{document}
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