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Diffstat (limited to 'ipl/gprogs/julia1.icn')
-rw-r--r-- | ipl/gprogs/julia1.icn | 79 |
1 files changed, 79 insertions, 0 deletions
diff --git a/ipl/gprogs/julia1.icn b/ipl/gprogs/julia1.icn new file mode 100644 index 0000000..5ff91d8 --- /dev/null +++ b/ipl/gprogs/julia1.icn @@ -0,0 +1,79 @@ +############################################################################ +# +# File: julia1.icn +# +# Subject: Program to display the Julia set +# +# Author: Ralph E. Griswold +# +# Date: June 17, 1994 +# +############################################################################ +# +# This file is in the public domain. +# +############################################################################ +# +# This is a barebones version of a display of the Julia set. It +# has deliberately been left simple and free of options so that the +# basic idea is clear and so that it can be used as the basis of +# more capable versions. +# +# This program is based on material given in "Chaos, Fractals, +# and Dynamics", Robert L. Devaney, Addison-Wesley, 1990. +# +# The point in the complex plane for which the Julia set is computed +# is given on the command line, as in +# +# julia1 .360284 .100376 +# +# which displays the Julia set for the complex number .360284 + .100376i. +# +############################################################################ +# +# Requires: Version 9 graphics +# +############################################################################ +# +# Links: wopen +# +############################################################################ + +link wopen + +procedure main(argl) + local c1, c2, extent, half, quarter, m, n, x0, y0, x, y + local x1, y1, i, z + + c1 := real(argl[1]) | -1.0 # default is -1.0 + 0.0i + c2 := real(argl[2]) | 0.0 + + extent := 200 + half := 200 / 2 + quarter := real(extent) / 4 + + WOpen("label=julia", "height=" || extent, "width=" || extent) | + stop("*** cannot open window") + + every m := 0 to extent do { + x0 := -2 + m / quarter + every n := 0 to half do { + y0 := 2 - n / quarter + x := x0 + y := y0 + every i := 1 to 20 do { # compute orbit + x1 := x ^ 2 - y ^ 2 + c1 + y1 := 2 * x * y + c2 + x := x1 + y := y1 + z := x ^ 2 + y ^ 2 + if z > 4 then break next # if escaping, forget it + } + DrawPoint(m, n) + DrawPoint(extent - m, extent - n) + } + } + + Event() + +end |