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############################################################################
#
# File: ca21.icn
#
# Subject: Program to investigate cellular automata
#
# Author: Ralph E. Griswold
#
# Date: May 2, 2001
#
############################################################################
#
# This file is in the public domain.
#
############################################################################
#
# This program displays the time-sequence development on one-dimensional
# cellular automata in which the state of a cell depends only on the
# two cells adjacent to it -- 2,1 automata.
#
# See "Theory and Applications of Cellular Automata", Stephan Wolfram,
# World Scientific, 1986 for an explanation for the method and rule
# encoding.
#
# The options supported are:
#
# -r i rule i, default 110
# -w i width (number of cells), default 200
# -h i height (number of time steps), default width
# -s seed first row at random with <= width / 2 cells
# -R randomize the run
# -e s initialize first row with seeds at positions generated
# by Icon expression e.
# -i s save final image in file named s; default no image
# -H use hidden window; if no image file specified, ca21.gif
# is used
#
# The -e option is powerful but somewhat strange. For example, to
# seed every other cell in the first row, use
#
# -e 'seq(1,2')
#
# which generates 1, 3, 5, 7, ... and seeds those cells (cells are
# numbered starting at 1).
#
############################################################################
#
# Requires: Version 9 graphics; system(), pipes, /tmp for -e option
#
############################################################################
#
# Links: evallist, genrfncs, options, convert, random, wopen
#
############################################################################
link evallist
link genrfncs
link options
link convert
link random
link wopen
procedure main(args)
local opts, rule, bits, binary, i, j, phi, width, height, v, old, new
local ilist, name, canvas
opts := options(args, "w+h+r+sRe:i:H")
width := \opts["w"] | 200
height := \opts["h"] | width
rule := \opts["r"] | 110
if \opts["R"] then randomize()
name := \opts["i"]
if \opts["H"] then {
canvas := "canvas=hidden"
/name := "ca21.gif"
}
else canvas := "canvas=normal"
WOpen(canvas, "width=" || width, "height=" || height) |
stop("*** cannot open window")
bits := create !right(exbase10(rule, 2), 8, "0")
binary := create ("1" | "0") || ("1" | "0") || ("1" | "0")
phi := table()
while phi[@binary] := @bits
new := repl("0", width)
if \opts["e"] then {
ilist := evallist(opts["e"], width, "seqfncs") |
stop("invalid initialization expression")
every i := !ilist do {
new[i] := "1"
DrawPoint(i- 1, 0)
}
}
else if \opts["s"] then { # random, scattered seeds
every 1 to width / 2 do {
new[i := ?width] := "1"
DrawPoint(i - 1, 0)
}
}
else {
new[width / 2] := "1" # single, centered seed
DrawPoint(width / 2 - 1, 0)
}
every j := 2 to height do {
old := new
new := repl("0", width)
every i := 2 to width - 1 do {
new[i] := v := phi[old[i - 1 : i + 2]]
if v == "1" then DrawPoint(i - 1, j - 1)
}
}
WriteImage(\name)
end
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