var theta;

var omega;

var OMEGA_MAX;

var a;

var r;

var pAnt;

var p;

var dist;

var si;

var co;

var thetaMatrix;

var omegaMatrix;

var thetaAux;

var drawing;

var black;

var ALPHA;

var c;

var maxR;

var first;

function setup() {

createCanvas(windowWidth, windowHeight);

background(255);

ALPHA = 50;

theta = 0;

thetaMatrix = 0;

a = 90;

pAnt = createVector(0, 0);

OMEGA_MAX = 0.8;

omega = random(-OMEGA_MAX, OMEGA_MAX);

omegaMatrix = random(0.01);

drawing = true;

black = true;

maxR = sqrt(sq(width/2) + sq(height/2));

first = true;

printOmegas();

}

function draw() {

if(!drawing) return;

si = sin(theta);

co = cos(theta);

r = (3 * a * si * co)/(pow(si, 3) + pow(co, 3));

push();

translate(width/2, height/2);

p = createVector(r * sin(theta+thetaMatrix), r * cos(theta+thetaMatrix));

colorMode(HSB, 100, 255, 255, 255);

if(black) {

c = color(0, 0, 0, ALPHA);

}

else {

maxR = sqrt(sq(width/2) + sq(height/2));

c = color(map(abs(r), 0, maxR, 0, 100), 255, 255, ALPHA);

}

dist = p5.Vector.dist(pAnt, p);

if(!first) {

if(dist < 1000) {

stroke(c);

line(pAnt.x, pAnt.y, p.x, p.y);

}

}

else {

first = false;

}

pAnt = p.copy();

theta += omega;

if(theta > PI/2) {

theta = 0;

}

thetaMatrix += omegaMatrix;

pop();

}

function keyTyped() {

switch(key) {

case 'p':

drawing = !drawing;

break;

case 'r':

clear();

background(255*black);

first = true;

omega = random(-OMEGA_MAX, OMEGA_MAX);

omegaMatrix = random();

printOmegas();

break;

/*

case 'a':

a *= 0.9;

break;

case 'd':

a *= 1.1;

break;

*/

case 'b':

black = !black;

background(255*black);

break;

case 'd':

clear();

first = true;

omega = 0.05;

omegaMatrix = 0.005;

break;

}

}

function printOmegas() {

print('Omega: ', omega, ' rad/f');

print('Rotation omega: ', omegaMatrix, ' rad/f');

}