/usr/share/axiom-20170501/input/vectors.input is in axiom-test 20170501-3.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 | --Copyright The Numerical Algorithms Group Limited 1991.
)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
|