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index.html
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<!DOCTYPE html>
<html>
<head>
<title>FRACTAL MACHINE</title>
<meta name="description" content="Fractal Machine">
<meta name="author" content="Nico Disseldorp">
<meta name="keywords" content="HTML5,JavaScript,Logic,Fractal,Machine">
<script type="text/javascript">
var fract=(function (){
var module = {},
zoomlevel=4,
zoom=Math.pow(1.25,zoomlevel),
c,
ctx,
height,
width;
module.init = function (){
c = document.getElementById("main");
c.addEventListener("mousewheel", fract.zoom, false);
c.addEventListener("DOMMouseScroll", fract.zoom, false);
ctx = c.getContext("2d");
fract.angle = makeSlider({steps:360/5, step:60/5, id:"angle"});
fract.skewangle = makeSlider({steps:180/5, step:90/5, id:"skewangle"});
fract.poly = makeThumb({steps:6, step:0, id:"poly"});
fract.segments = makeThumb({steps:5, step:0, id:"segments"});
fract.mirror = makeThumb({steps:2, step:0, id:"mirror"});
fract.angle.unlock();
fract.arms = makeThumb({steps:2, step:0, id:"arms"});
fract.depth = makeThumb({steps:5, step:0, id:"depth"});
window.requestAnimFrame = (function(){
return window.requestAnimationFrame ||
window.webkitRequestAnimationFrame ||
window.mozRequestAnimationFrame ||
function( callback ){
window.setTimeout(callback, 1000 / 60);
};
})();
fract.angle.fix = function () {
//this function changes steps to match the number of degrees required to do a full loop.
//this code is ugly, but i can't be bothered fixing it right now, I have to go to a party.
var segments=(fract.segments.step+1);
var loopat360=(2/(fract.segments.step+1));
var i=1;
this.steps=360/5;
while (Math.abs(loopat360*i % 1) >0.1) {
i++;
}
this.steps= 360/5*i;
var skew=fract.skewangle.step-fract.skewangle.steps/2;
fract.skewangle.steps= 180/5*segments;
if (fract.arms.step){
fract.skewangle.steps*=2;
if (segments%2===0){
fract.angle.steps*=2;
}
}
if (this.step>this.steps){
this.step=this.steps;
}
if (Math.abs(skew)>fract.skewangle.steps/2){
fract.skewangle.step=(fract.skewangle.step+fract.skewangle.steps/2)%fract.skewangle.steps;
}
else{
fract.skewangle.step=fract.skewangle.steps/2+skew;
}
fract.angle.update(this.step,0,1);
fract.skewangle.update(fract.skewangle.step,0,1);
}
fract.skewangle.updateLabel =function(){
this.label.innerHTML=Math.round((this.step-this.steps/2)*5);
}
fract.skewangle.updateLabel();
if (window.location.hash != 0){
fract.hash.load();
}
fract.fixsize();
document.onkeydown = function(e) {
//console.log(e.keyCode)
if (e.keyCode == 27) {
//esc
fract.controls();
}
else if (e.keyCode == 46) {
//delete
fract.controls();
}
else if (e.keyCode == 13) {
//enter
fract.animate.toggle();
}
else if (e.keyCode == 38) {
//up
fract.drag.nudge.start(0);
}
else if (e.keyCode == 40) {
//down
fract.drag.nudge.start(1);
}
else if (e.keyCode == 61) {
//+
fract.zoomnudge(1);
}
else if (e.keyCode == 173) {
//-
fract.zoomnudge(-1);
}
}
document.onkeyup = function(e) {
if (e.keyCode == 38) {
//up
fract.drag.nudge.stop(0);
}
else if (e.keyCode == 40) {
//down
fract.drag.nudge.stop(1);
}
}
document.onkeypress = function(e) {
//console.log(e.charCode)
if (e.charCode == 104) {
//h
fract.controls();
}
else if (e.charCode == 96) {
//h
fract.controls();
}
else if (e.charCode == 113) {
//q
fract.poly.up(1);
}
else if (e.charCode == 119) {
//w
fract.segments.up(1);
}
else if (e.charCode == 101) {
//e
fract.mirror.up(1);
}
else if (e.charCode == 114) {
//r
fract.arms.up(1);
}
else if (e.charCode == 116) {
//t
fract.depth.up(1);
}
else if (e.charCode == 32) {
//space
fract.animate.toggle();
}
else if (e.charCode == 97) {
//a
fract.poly.down();
}
else if (e.charCode == 115) {
//s
fract.segments.down();
}
else if (e.charCode == 100) {
//d
fract.mirror.down();
}
else if (e.charCode == 102) {
//f
fract.arms.down();
}
else if (e.charCode == 103) {
//g
fract.depth.down();
}
else if (e.charCode == 122) {
//z
fract.reset();
}
else if (e.charCode == 120) {
//x
fract.random();
}
else if (e.charCode == 99) {
//c
fract.animate.toggle();
}
else if (e.charCode == 118) {
//v
fract.color.toggle();
}
else if (e.charCode == 98) {
//b
fract.trails.toggle();
}
else if (e.charCode == 49) {
//1
fract.angle.locktoggle();
}
else if (e.charCode == 50) {
//2
fract.skewangle.locktoggle();
}
};
};
var clear = function (){
ctx.globalCompositeOperation = "source-over";
ctx.fillRect(0 ,0 , width, height);
fract.hash.save();
}
module.fixsize = function (){
width= window.innerWidth;
height= window.innerHeight;
c.width=width;
c.height=height;
ctx.fillStyle=fract.color.bg;
ctx.strokeStyle=fract.color.fractal;
ctx.lineWidth=0.5;
fract.angle.resize();
fract.skewangle.resize();
clear();
fract.al.render();
}
module.reset = function (){
fract.angle.update(12);
fract.depth.update(0);
fract.segments.update(0);
fract.arms.update(0);
fract.skewangle.update(90/5);
fract.mirror.update(0);
fract.poly.update(0);
if (fract.animate.on){
fract.animate.toggle();
}
clear();
fract.al.render();
}
module.random = function (){
fract.angle.random();
fract.skewangle.random();
fract.depth.update(Math.floor(Math.random()*2));
fract.segments.random();
fract.mirror.random();
fract.poly.random();
fract.arms.random();
clear();
fract.al.render();
}
module.color = (function (){
var module = {},
button;
module.black="#000000";
module.white="#ffffff";
module.bg = module.white;
module.fractal = module.black;
module.on = false;
var homelink;
var colorstep = 0;
module.jump = function() {
colorstep++
var frequency = .01;
var r = Math.sin(frequency*colorstep + 0) * 127 + 128;
var g = Math.sin(frequency*colorstep + 2) * 127 + 128;
var b = Math.sin(frequency*colorstep + 4) * 127 + 128;
function byte2Hex(n) {
var nybHexString = "0123456789ABCDEF";
return String(nybHexString.substr((n >> 4) & 0x0F,1)) + nybHexString.substr(n & 0x0F,1);
}
if (fract.color.bg===fract.color.black) {
return '#' + byte2Hex(r) + byte2Hex(g) + byte2Hex(b);
}
else {
return '#' + byte2Hex(r/2) + byte2Hex(g/2) + byte2Hex(b/2);
}
}
module.invert = function(){
homelink =homelink||document.getElementById("homelink");
if (this.bg===this.black){
this.bg=this.white;
homelink.className="homelink";
this.fractal=this.black;
}
else {
this.bg=module.black;
this.fractal=module.white;
homelink.className="homelinkwhite";
}
ctx.fillStyle=this.bg;
ctx.strokeStyle=this.fractal;
}
module.toggle = function(){
button=button||document.getElementById("colorbutton");
if (this.on){
this.on=false;
module.invert();
button.className=("button");
}
else {
this.on=true;
button.className=("buttonon");
}
clear();
fract.al.render();
}
return module;
}());
module.trails = (function (){
var module = {},
button;
module.on = false;
module.toggle = function (){
button=button||document.getElementById("trailsbutton");
if (this.on){
this.on=false;
ctx.globalCompositeOperation = "source-over";
button.className=("button");
fract.al.render();
}
else {
this.on=true;
button.className=("buttonon");
}
}
return module;
}());
module.animate = (function (){
var module = {},
button;
module.on = false;
module.disabled = false;
module.toggle = function (){
button=button||document.getElementById("animatebutton");
if (this.on){
this.on=false;
fract.hash.save();
button.className=("button");
}
else {
if (!fract.angle.locked || !fract.skewangle.locked){
this.on=true;
button.className=("buttonon");
module.loop();
}
}
}
module.loop = function (){
if (module.on){
window.setTimeout(module.loop, 1000 / 30);
//requestAnimFrame(module.loop);
fract.angle.nudge(1/2);
fract.skewangle.nudge(1/5);
if (fract.auto.on){
fract.auto.frame();
}
fract.al.render();
}
};
module.disable = function(){
button=button||document.getElementById("animatebutton");
button.className=("buttongrey");
module.disabled=true;
}
module.enable = function(){
button.className=("button");
module.disabled=false;
}
return module;
}());
module.auto = (function (){
var module = {},
pre,
count,
changes,
mode,
oneframes,
button,
nextchange,
extra;
module.on = false;
module.toggle = function (){
button=button||document.getElementById("autobutton");
if (this.on){
this.on=false;
//if (fract.animate.on){
// fract.animate.toggle();
//}
fract.hash.save();
button.className=("button");
}
else {
this.on=true;
count=0;
symmetrystart();
if (!fract.animate.on){
fract.animate.toggle();
}
button.className=("buttonon");
}
}
module.frame = function (){
count++
if (mode==="smooth"){
if (fract.angle.step===0){
changes++
fract.segments.random();
fract.mirror.random();
fract.depth.update(Math.floor(Math.random()*2));
if (changes===8){
if (Math.floor(Math.random()*4)){
rapidstart();
}
else {
symmetrystart();
}
}
}
}
if (mode==="rapid"){
if (count===lastchange+nextchange){
lastchange=count;
fract.random();
pre-=1;
nextchange=Math.floor(Math.pow(1.04,pre));
if (nextchange===0){
if (ones){
nextchange=1;
ones--
}
else{
if (Math.floor(Math.random()*2)){
smoothstart();
}
else {
longstart();
}
}
}
}
}
if (mode==="symmetry"){
if (count===lastchange+nextchange){
lastchange=count;
clear();
fract.angle.random();
fract.segments.random();
fract.mirror.random();
fract.poly.random();
if (fract.mirror.step){
fract.arms.random();
}
else{
fract.arms.update(0);
}
fract.depth.update(Math.floor(Math.random()*2));
fract.skewangle.update(fract.skewangle.steps/2);
pre-=1;
nextchange=Math.floor(Math.pow(1.04,pre));
//console.log(nextchange);
if (nextchange===0){
if (ones){
nextchange=1;
ones--;
}
else{
if (Math.floor(Math.random()*2)){
smoothstart();
}
else {
longstart();
}
}
}
}
}
if (mode==="long"){
if (count===lastchange+nextchange){
if (Math.floor(Math.random()*4)){
rapidstart();
}
else {
symmetrystart();
}
}
}
}
//smoothmode
var smoothstart = function (){
if (Math.floor(Math.random()*2)){
fract.trails.toggle();
}
if (Math.floor(Math.random()*2)){
fract.color.toggle();
}
if (fract.color.bg===fract.color.white && Math.floor(Math.random()*5)!==0){
fract.color.invert();
}
mode="smooth";
changes=0;
fract.poly.random();
fract.angle.unlock();
fract.skewangle.lock();
fract.skewangle.update(fract.skewangle.steps/2);
fract.arms.update(0);
}
//rapidmode
var rapidstart = function(){
ones = 20;
if (!fract.trails.on){
fract.trails.toggle();
}
if (Math.floor(Math.random()*2)){
fract.color.toggle();
}
if (fract.color.bg===fract.color.white && Math.floor(Math.random()*5)!==0){
fract.color.invert();
}
mode="rapid";
nextchange=1;
lastchange=count;
pre=128;
fract.angle.unlock();
fract.skewangle.unlock();
fract.random();
}
var symmetrystart = function(){
ones = 20;
if (!fract.trails.on){
fract.trails.toggle();
}
if (Math.floor(Math.random()*2)){
fract.color.toggle();
}
if (fract.color.bg===fract.color.white && Math.floor(Math.random()*5)!==0){
fract.color.invert();
}
mode="symmetry";
nextchange=1;
lastchange=count;
pre=128;
fract.angle.unlock();
fract.skewangle.lock();
fract.random();
fract.skewangle.update(fract.skewangle.steps/2);
}
//longmode
var longstart = function(){
if (Math.floor(Math.random()*2)){
fract.trails.toggle();
}
if (Math.floor(Math.random()*2)){
fract.color.toggle();
}
if (fract.color.bg===fract.color.white && Math.floor(Math.random()*5)!==0){
fract.color.invert();
}
mode="long";
lastchange=count;
nextchange=2048;
fract.angle.unlock();
fract.skewangle.unlock();
fract.random();
}
return module;
}());
module.controls = function(){
var controlbox = document.getElementById("controls");
var homelink = document.getElementById("homediv");
if (controlbox.className === "controls" ) {
homelink.className = "hidden";
controlbox.className = "hidden";
}
else {
controlbox.className = "controls";
fract.angle.resize();
fract.skewangle.resize();
homelink.className = "homediv";
}
}
module.drag = (function (){
var module = {};
var mposy;
module.offset=0;
module.held=false;
var moved=false;
module.down= function(e){
mposy=e.clientY;
document.onmouseup=function () {
return function(event) {
module.up(event)
}
}();
document.onmouseout=function () {
return function(event) {
module.out(event)
}
}();
document.onmousemove=function () {
return function(event) {
module.move(event)
}
}();
module.held=true;
module.loop();
e.stopPropagation();
}
module.out = function (e){
if (e.relatedTarget==null){
stopdrag(e);
}
}
module.up = function (){
document.onmouseout=[];
document.onmouseout=[];
document.onmousemove=[];
module.held=false;
}
module.move = function(e){
var diffy=e.clientY-mposy;
module.offset-=diffy;
//fract.al.render();
mposy=e.clientY;
moved=true;
}
module.loop = function (){
if (module.held){
if(moved && !fract.animate.on){
fract.al.render();
moved=false;
}
requestAnimFrame(module.loop);
}
};
module.nudge = (function (){
var module = {};
module.down = false;
module.direction=0;
module.loop = function (){
if (module.down){
if (module.direction){
fract.drag.offset-=5;
}
else{
fract.drag.offset+=5;
}
if(!fract.animate.on){
fract.al.render();
}
requestAnimFrame(module.loop);
}
};
module.start = function(direction){
module.direction=direction;
if (!module.down){
module.down=true;
module.loop();
}
};
module.stop = function (){
module.down=false;
};
return module;
}());
return module;
}());
module.zoom = function (e){
var delta = Math.max(-1, Math.min(1, (e.wheelDelta || (0-e.detail))));
fract.zoomnudge(delta);
};
module.zoomnudge = function (delta){
zoomlevel-=delta;
zoom=Math.pow(1.25,zoomlevel);
if (zoom<1){
zoomlevel=1;
zoom=1;
}
fract.al.render();
}
module.help =(function(){
var module={},
controlbox,
current = controlbox;
module.toggle = function(){
var controlbox = controlbox || document.getElementById("helpbox");
if (controlbox.className == "helpbox" ) {
controlbox.className = "hidden";
}
else {
controlbox.className = "helpbox";
}
module.show("default");
}
module.show = function(which){
var newhelp = document.getElementById("help" + which);
current = current || document.getElementById("helpdefault");
current.className = "hidden";
newhelp.className = "";
current = newhelp;
}
return module;
}());
module.hash =(function(){
var module={};
module.current;
module.save=function(){
var ruleid = "#" +
(('000'+(Math.round(fract.angle.step*5))).substr(-4)) + "," +
('000'+(Math.round(fract.skewangle.step*5))).substr(-4) + "," +
(fract.poly.step+1) + "," +
(fract.segments.step+1) + "," +
fract.mirror.step + "," +
fract.arms.step + "," +
(fract.depth.step+1);
module.current=ruleid;
window.location = String(window.location).replace(/\#.*$/, "") + ruleid;
}
module.load = function(){
if (window.location.hash != 0){
if (window.location.hash !== module.current){
var ruleid= window.location.hash;
if (ruleid.length===14){
fract.depth.update(ruleid.charAt(6) - 1);
fract.poly.update(ruleid.charAt(8) -1);
fract.segments.update((ruleid.charAt(10) + ruleid.charAt(11))-4);
fract.angle.fix();
fract.angle.update((ruleid.charAt(1) + ruleid.charAt(2) + ruleid.charAt(3) + ruleid.charAt(4))/5);
fract.mirror.update(ruleid.charAt(13)-0);
fract.arms.update(0);
fract.skewangle.update(fract.skewangle.steps/2);
fract.al.render();
}
else{
fract.poly.update(ruleid.charAt(11)-1);
fract.segments.update(ruleid.charAt(13)-1);
fract.mirror.update(ruleid.charAt(15)-0);
fract.arms.update(ruleid.charAt(17)-0);
fract.depth.update(ruleid.charAt(19)-1);
fract.angle.fix();
fract.angle.update((ruleid.charAt(1)+ruleid.charAt(2)+ruleid.charAt(3)+ruleid.charAt(4))/5);
fract.skewangle.update((ruleid.charAt(6)+ruleid.charAt(7)+ruleid.charAt(8)+ruleid.charAt(9))/5);
fract.al.render();
}
}
}
}
window.onhashchange = module.load;
return module;
}());
module.al =(function(){
var module = {},
heading,
unit,
x,
y,
rads,
depth,
segments,
mirror,
poly,
arms,
motifLines,
segrad,
lastrad,
sideLines;
var prepare = function prepare(){
depth=fract.depth.step+1;
mirror=fract.mirror.step;
segments=fract.segments.step+1;
poly=fract.poly.step+1;
arms=fract.arms.step;
rads= fract.angle.step*5 * (Math.PI / 180);
if (fract.color.bg === fract.color.white && fract.trails.on){
ctx.globalCompositeOperation = "lighter";
ctx.globalAlpha = 0.008;
ctx.fillRect(0 ,0 , width, height);
ctx.globalAlpha = 1;
ctx.globalCompositeOperation = "source-over";
}
else if (fract.color.bg === fract.color.black && fract.trails.on){
ctx.globalCompositeOperation = "source-over";
ctx.globalAlpha = 0.01;
ctx.fillRect(0 ,0 , width, height);
ctx.globalAlpha = 1;
ctx.globalCompositeOperation = "lighter";
}
else if (!fract.trails.on){
ctx.fillRect(0 ,0 , width, height);
}
if (fract.color.on){
ctx.strokeStyle=fract.color.jump();
}
//this code below is a bit of a mess, but it works.
var skewrad=(fract.angle.step-fract.skewangle.step+fract.skewangle.steps/2)*5*(Math.PI/180);
segrad=skewrad*2/segments;
lastrad=skewrad*2-rads;
var motifTestWidth=2+Math.cos(rads);
var motifTestHeight=Math.sin(rads);
var motifHeading=rads;
var motifHeight;
var motifWidth;
var motifMax;
for (i=0; i<segments; i++){
motifHeading -= (segrad);
motifTestWidth += Math.cos(motifHeading);
motifTestHeight += Math.sin(motifHeading);
}
//if the correction is zero, it doesn't work. so i need the default zero.
var skewCorrection=Math.atan2(motifTestHeight,motifTestWidth)||0;
//now test for the highest/lowest the line gets after skew correction is applied. if it is too much i change the way the shape renders.
var testline = function (){
motifTestWidth += Math.cos(motifHeading);
motifTestHeight += Math.sin(motifHeading);
motifMax = Math.max(motifMax,Math.abs(motifTestHeight));
}
motifHeading=skewCorrection;
motifTestWidth = Math.cos(motifHeading);
motifTestHeight = Math.sin(motifHeading);
motifMax = Math.abs(motifTestHeight);
motifHeading-=rads;
testline();
for (i=0; i<segments; i++){
motifHeading += (segrad);
testline();
}
motifHeading=skewCorrection;
testline();
motifWidth=Math.abs(motifTestWidth);
var gap;
if (motifWidth>0.98){
//the default(I would use 1, but i want some leeway to make up for floating point weirdness).
unit=width/zoom/Math.abs(Math.pow(motifWidth, depth));
gap=width/zoom;
}
else{
//the fractal turns in on itself, so the start and end points won't be the limits of the shape.
unit=Math.abs(width/zoom/(motifWidth-Math.cos(skewCorrection)*2));
gap=unit*Math.pow(motifWidth,depth);
}
var shrinkray;
if (motifMax*unit>width/zoom/2){
//the motif sticks out too much, so the shape should be shrunk.
var shrinkray=(width/zoom/2)/(motifMax*unit);
unit=unit*shrinkray;
gap=gap*shrinkray;
}
var polyRads;
var polyOffset=0;
if (poly>2){
//the fractal is a polygon, so it must be offset and resized accordingly
polyRads=Math.PI/poly;
polyOffset = (gap/2)/Math.tan(polyRads);
if ((polyOffset*2) > width/zoom){
shrinkray=((polyOffset*2)/(width/zoom));
unit=unit/shrinkray;
gap = gap/shrinkray;
polyOffset = polyOffset/shrinkray;
}
}
//the fractal turns as it starts, so i have to act like it's just finished a polygon side. The skews have to stack with every iteration.
heading=(skewCorrection*depth-(Math.PI*2)/poly);
x=width/2-(gap/2);
y=height/2-polyOffset-fract.drag.offset;
motifLines=3+segments;
if (mirror){
motifLines+=1+segments;
}
if (arms){
motifLines+=segments*(mirror+1);
}
sideLines=Math.pow(motifLines,depth);
}
var i,
snaps=[],
armSnaps=[];
var starttime;
module.render = function render(){
prepare();
if (!fract.animate.on && (!fract.angle.held && !fract.skewangle.held)){
fract.hash.save();
}
i=0;
//little box at the start to help debug
//ctx.fillStyle="#000000";
//ctx.fillRect(x,y,10,10);
//ctx.fillStyle="#ffffff";
ctx.beginPath();
ctx.moveTo(x, y);
module.morelines();
}
module.morelines = function morelines(){
var turnDepth=0;
starttime=Date.now();
var saveSnap = function savesnap(){
var outward = {x:x, y:y, heading:heading};
outward.load = function(){
x=this.x;
y=this.y;
heading=this.heading;
ctx.moveTo(x, y);
}
return outward;
}
var turn = function turn(){
var count=i/Math.pow(motifLines,turnDepth)%motifLines;
if (i%sideLines===0){
heading+=(Math.PI*2)/poly;
}
else if (count===0){
turnDepth+=1;
turn();
turnDepth-=1;
}
else if (count===1) {
if (mirror){
snaps[turnDepth]=saveSnap();
}
heading+=-rads;
}
else if (count<2+segments*(arms+1)){
if (arms){
if (count%2===1){
armSnaps[turnDepth].load();
heading+=segrad;
}