work with mark: cellular automata
Submitted by f0 on Sun, 2006-09-17 22:05
another thing i played around with while at UoW was cellular automata. here's a simple one-dimensional CA class for supercollider... external link

and here is some more sc code i wrote to come to grips with CA...
/*cellular automata /redFrik*/ ( var w, u, width= 400, height= 300, cellWidth= 1, cellHeight= 1; w= Window("ca - 1", Rect(128, 64, width, height), false); u= UserView(w, Rect(0, 0, width, height)); u.background= Color.white; u.drawFunc= { var pat, dict, rule, ruleRand, y= 0; /* rule30= 30.asBinaryDigits; // [0, 0, 0, 1, 1, 1, 1, 0]; rule90= 90.asBinaryDigits; // [0, 1, 0, 1, 1, 0, 1, 0]; rule110= 110.asBinaryDigits; // [0, 1, 1, 0, 1, 1, 1, 0]; rule250= 250.asBinaryDigits; // [1, 1, 1, 1, 1, 0, 1, 0]; rule254= 254.asBinaryDigits; // [1, 1, 1, 1, 1, 1, 1, 0]; */ /*-- select rule here --*/ //rule= 256.rand.postln; //rule= 90; rule= 30; pat= 0.dup((width/cellWidth).round); pat.put((pat.size/2).round, 1); dict= (); 8.do{|i| dict.put(i.asBinaryDigits(3).join.asSymbol, rule.asBinaryDigits[7-i])}; //--render Pen.fillColor= Color.black; while({y*cellHeight<height}, { pat.do{|c, x| if(c==1, { Pen.addRect(Rect(x*cellWidth, y*cellHeight, cellWidth, cellHeight)); }); }; pat= [0]++pat.slide(3, 1).clump(3).collect{|c| dict.at(c.join.asSymbol); }++[0]; y= y+1; }); Pen.fill; }; w.front; )


more interesting than these simple examples are of course things like game-of-life.

here's one implementation for sc...
//game of life /redFrik ( var envir, copy, neighbours, preset, rule, wrap; var w, u, width= 200, height= 200, rows= 50, cols= 50, cellWidth, cellHeight; w= Window("ca - 2 pen", Rect(128, 64, width, height), false); u= UserView(w, Rect(0, 0, width, height)); u.background= Color.white; cellWidth= width/cols; cellHeight= height/rows; wrap= true; //if borderless envir /*-- select rule here --*/ //rule= #[[], [3]]; //rule= #[[5, 6, 7, 8], [3, 5, 6, 7, 8]]; //rule= #[[], [2]]; //rule "/2" seeds //rule= #[[], [2, 3, 4]]; //rule= #[[1, 2, 3, 4, 5], [3]]; //rule= #[[1, 2, 5], [3, 6]]; //rule= #[[1, 3, 5, 7], [1, 3, 5, 7]]; //rule= #[[1, 3, 5, 8], [3, 5, 7]]; rule= #[[2, 3], [3]]; //rule "23/3" conway's life //rule= #[[2, 3], [3, 6]]; //rule "23/36" highlife //rule= #[[2, 3, 5, 6, 7, 8], [3, 6, 7, 8]]; //rule= #[[2, 3, 5, 6, 7, 8], [3, 7, 8]]; //rule= #[[2, 3, 8], [3, 5, 7]]; //rule= #[[2, 4, 5], [3]]; //rule= #[[2, 4, 5], [3, 6, 8]]; //rule= #[[3, 4], [3, 4]]; //rule= #[[3, 4, 6, 7, 8], [3, 6, 7, 8]]; //rule "34578/3678" day&night //rule= #[[4, 5, 6, 7], [3, 5, 6, 7, 8]]; //rule= #[[4, 5, 6], [3, 5, 6, 7, 8]]; //rule= #[[4, 5, 6, 7, 8], [3]]; //rule= #[[5], [3, 4, 6]]; neighbours= #[[-1, -1], [0, -1], [1, -1], [-1, 0], [1, 0], [-1, 1], [0, 1], [1, 1]]; envir= Array2D(rows, cols); copy= Array2D(rows, cols); cols.do{|x| rows.do{|y| envir.put(x, y, 0)}}; /*-- select preset here --*/ //preset= #[[0, 0], [1, 0], [0, 1], [1, 1]]+(cols/2); //block //preset= #[[0, 0], [1, 0], [2, 0]]+(cols/2); //blinker //preset= #[[0, 0], [1, 0], [2, 0], [1, 1], [2, 1], [3, 1]]+(cols/2); //toad //preset= #[[1, 0], [0, 1], [0, 2], [1, 2], [2, 2]]+(cols/2); //glider //preset= #[[0, 0], [1, 0], [2, 0], [3, 0], [0, 1], [4, 1], [0, 2], [1, 3], [4, 3]]+(cols/2); //lwss //preset= #[[1, 0], [5, 0], [6, 0], [7, 0], [0, 1], [1, 1], [6, 2]]+(cols/2); //diehard //preset= #[[0, 0], [1, 0], [4, 0], [5, 0], [6, 0], [3, 1], [1, 2]]+(cols/2); //acorn preset= #[[12, 0], [13, 0], [11, 1], [15, 1], [10, 2], [16, 2], [24, 2], [0, 3], [1, 3], [10, 3], [14, 3], [16, 3], [17, 3], [22, 3], [24, 3], [0, 4], [1, 4], [10, 4], [16, 4], [20, 4], [21, 4], [11, 5], [15, 5], [20, 5], [21, 5], [34, 5], [35, 5], [12, 6], [13, 6], [20, 6], [21, 6], [34, 6], [35, 6], [22, 7], [24, 7], [24, 8]]+(cols/4); //gosper glider gun //preset= #[[0, 0], [2, 0], [2, 1], [4, 2], [4, 3], [6, 3], [4, 4], [6, 4], [7, 4], [6, 5]]+(cols/2); //infinite1 //preset= #[[0, 0], [2, 0], [4, 0], [1, 1], [2, 1], [4, 1], [3, 2], [4, 2], [0, 3], [0, 4], [1, 4], [2, 4], [4, 4]]+(cols/2); //infinite2 //preset= #[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0], [5, 0], [6, 0], [7, 0], [9, 0], [10, 0], [11, 0], [12, 0], [13, 0], [17, 0], [18, 0], [19, 0], [26, 0], [27, 0], [28, 0], [29, 0], [30, 0], [31, 0], [32, 0], [34, 0], [35, 0], [36, 0], [37, 0], [38, 0]]+(cols/4); //infinite3 //preset= Array.fill(cols*rows, {[cols.rand, rows.rand]}); preset.do{|point| envir.put(point[0], point[1], 1)}; i= 0; u.drawFunc= { i= i+1; Pen.fillColor= Color.black; cols.do{|x| rows.do{|y| if(envir.at(x, y)==1, { Pen.addRect(Rect(x*cellWidth, height-(y*cellHeight), cellWidth, cellHeight)); }); }; }; Pen.fill; cols.do{|x| rows.do{|y| var sum= 0; neighbours.do{|point| var nX= x+point[0]; var nY= y+point[1]; if(wrap, { sum= sum+envir.at(nX%cols, nY%rows); //no borders }, { if((nX>=0)&&(nY>=0)&&(nX<cols)&&(nY<rows), {sum= sum+envir.at(nX, nY)}); //borders }); }; if(rule[1].includes(sum), { //borne copy.put(x, y, 1); }, { if(rule[0].includes(sum), { //lives on copy.put(x, y, envir.at(x, y)); }, { //dies copy.put(x, y, 0); }); }); }; }; envir= copy.deepCopy; }; Routine({while{w.isClosed.not} {u.refresh; i.postln; (1/20).wait}}).play(AppClock); w.front; )