Wolfram Code (1D cellular automata) setup question

Programming Questions

asimes

Wolfram Code (1D cellular automata) setup question

in Programming Questions • 1 year ago

I'm trying to set up Wolfram Code for the first time. I have a "manual" setup for the rules right now which I am not too happy about. What would be a more flexible way to set this up so that I can just use an integer for the rule I want? For example, I would like to be able to set:

int theRule = 30;

To trigger the same conditions I wrote out in the code below:

boolean[] alive;
void setup() {
size(801, 400, P2D);
alive = new boolean[width*height];
alive[width/2] = true;
}
void draw() {
loadPixels();
for (int i = width; i < width*height; i++) {
// Get top 3 slots
boolean topLeft = alive[(i-width-1+width*height)%(width*height)];
boolean topMid = alive[i-width];
boolean topRight = alive[(i-width+1+width*height)%(width*height)];
// Rule 30
if (topLeft && topMid == false && topRight == false) alive[i] = true;
if (topLeft == false && topMid && topRight) alive[i] = true;
if (topLeft == false && topMid && topRight == false) alive[i] = true;
if (topLeft == false && topMid == false && topRight) alive[i] = true;
// Display
if (alive[i]) pixels[i] = 0;
else pixels[i] = 0xffffff;
}
updatePixels();
noLoop();
}

Replies(3)

PhiLho

Re: Wolfram Code (1D cellular automata) setup question

1 year ago

Well, is there a relation between the rule number and the conditions? If so, if you can write one or several formulae for this relation, you are done...

asimes

Re: Wolfram Code (1D cellular automata) setup question

1 year ago

EDIT: I removed the code I put here earlier because I noticed that the way I was placing new cells was affecting the next line incorrectly (new cells affected the next line).

Maybe this code shows my problem better. I can set rule to be whatever (0 - 255) and it works fine but the "Perform rule" section looks silly to me. There has to be a better way to write it:

int rule = 30;
int count;
boolean[] alive;
boolean[] slots = new boolean[8];
void setup() {
size(801, 400, P2D);
count = width;
alive = new boolean[width*height];
alive[width/2] = true;
//for (int i = 0; i < width; i++) alive[i] = random(1) > 0.5;
for (int i = 0; i < 8; i++) {
int ruleMask = rule&(1<<i);
slots[i] = ruleMask != 0;
}
}
void draw() {
for (int i = count; i < count+width; i++) {
// Get top 3 slots
int tl, tr;
if (i%width == 0) tl = i-1;
else tl = i-width-1;
if (i%width == width-1) tr = i-width*2+1;
else tr = i-width+1;
int tm = i-width;
// Perform rule
if (slots[0] && alive[tl] == false && alive[tm] == false && alive[tr] == false) alive[i] = true;
if (slots[1] && alive[tl] == false && alive[tm] == false && alive[tr]) alive[i] = true;
if (slots[2] && alive[tl] == false && alive[tm] && alive[tr] == false) alive[i] = true;
if (slots[3] && alive[tl] == false && alive[tm] && alive[tr]) alive[i] = true;
if (slots[4] && alive[tl] && alive[tm] == false && alive[tr] == false) alive[i] = true;
if (slots[5] && alive[tl] && alive[tm] == false && alive[tr]) alive[i] = true;
if (slots[6] && alive[tl] && alive[tm] && alive[tr] == false) alive[i] = true;
if (slots[7] && alive[tl] && alive[tm] && alive[tr]) alive[i] = true;
}
loadPixels();
for (int i = 0; i < width*height; i++) {
if (alive[i]) pixels[i] = 0;
else pixels[i] = 0xffffff;
}
updatePixels();
if (count < width*height-width) count += width;
else noLoop();
}

asimes

Re: Wolfram Code (1D cellular automata) setup question

1 year ago

Simplified the rule execution finally, just posting incase anyone is interested (if anyone sees a speed-up I'm all ears):

int rule, count;
boolean[] alive;
boolean[] slots = new boolean[8];
void setup() {
size(801, 400, P2D);
alive = new boolean[width*height];
initialize();
}
void draw() {
loadPixels();
for (int i = count; i < count+width; i++) {
int x = i%width;
int y = i/width;
int register = 0;
if (alive[(x+1)%width+y*width-width]) register += 1;
if (alive[i-width]) register += 2;
if (alive[(x+width-1)%width+y*width-width]) register += 4;
for (int j = 0; j < 8; j++) {
if (slots[j] && register == j) {
alive[i] = true;
break;
}
}
if (alive[i]) pixels[i] = 0;
else pixels[i] = 0xffffff;
}
updatePixels();
if (count < width*height-width) count += width;
else initialize();
}
void initialize() {
count = width;
rule = (int)random(256);
for (int i = 0; i < width*height; i++) alive[i] = false;
for (int i = 0; i < width; i++) alive[i] = random(1) > 0.5;
//alive[width/2] = true;
for (int i = 0; i < 8; i++) {
int ruleMask = rule&(1<<i);
slots[i] = ruleMask != 0;
}
println("Rule = "+rule);
}

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