summaryrefslogtreecommitdiff
path: root/ipl/gprogs/julia1.icn
diff options
context:
space:
mode:
Diffstat (limited to 'ipl/gprogs/julia1.icn')
-rw-r--r--ipl/gprogs/julia1.icn79
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