Snippet Zone

Speed-coded Eye

```
d = document
```
```
b = d.body
```
```
b.style.margin = 0
```
```
with(Math) {
```

  S = min(innerHeight * 2, innerWidth * 2)

```
  hs = S / 2
```
```
 
```
```
  with(
```
```
    b.appendChild(Object.assign(
```
```
      d.createElement`canvas`, {
```
```
        width: S,
```
```
        height: S
```
```
      })).getContext`2d`) {
```
```
 
```

    // array of xy coords, closed boolean

    function bezierSkin(bez, closed = true) {

```
      const avg = calcAvgs(bez);
```
```
      const leng = bez.length;
```
```
      let i, n;
```
```
 
```
```
      if (closed) {
```
```
        moveTo(avg[0], avg[1]);
```
```
        for (i = 2; i < leng; i += 2) {
```
```
          n = i + 1;
```

          quadraticCurveTo(bez[i], bez[n], avg[i], avg[n]);

```
        }
```

        quadraticCurveTo(bez[0], bez[1], avg[0], avg[1]);

```
      } else {
```
```
        moveTo(bez[0], bez[1]);
```
```
        lineTo(avg[0], avg[1]);
```

        for (i = 2; i < leng - 2; i += 2) {

```
          n = i + 1;
```

          quadraticCurveTo(bez[i], bez[n], avg[i], avg[n]);

```
        }
```

        lineTo(bez[leng - 2], bez[leng - 1]);

```
      }
```
```
    }
```
```
 
```

    // create anchor points by averaging the control points

```
    function calcAvgs(p) {
```
```
      const avg = [];
```
```
      const leng = p.length;
```
```
      let prev;
```
```
      for (var i = 2; i < leng; i++) {
```
```
        prev = i - 2;
```
```
        avg.push((p[prev] + p[i]) / 2);
```
```
      }
```
```
      // close
```

      avg.push((p[0] + p[leng - 2]) / 2);

      avg.push((p[1] + p[leng - 1]) / 2);

```
      return avg;
```
```
    }
```
```
 
```
```
 
```

    canvas.style.transformOrigin = '0 0'

    canvas.style.transform = 'scale(.4)'

```
 
```
```
    rinit = _ => {
```
```
      t = 0
```
```
      tinc = .1
```
```
      rad = hs * .8
```
```
      pupil = random() * .25
```
```
      radA = pupil + random() * .25
```
```
 
```
```
    }
```
```
    dx = dy = hs
```
```
    cx = cy = hs
```
```
 
```
```
    rinit()
```
```
 
```
```
    fillStyle = 'black'
```
```
    fillRect(0, 0, S, S);
```
```
    fillStyle = 'white'
```
```
    beginPath()
```
```
    moveTo(hs, hs)
```
```
    arc(hs, hs, rad, 0, 7)
```
```
    fill()
```
```
 
```
```
    outer = _ => {
```
```
      dx = cx + rad * cos(t)
```
```
      dy = cy + rad * sin(t)
```
```
 
```
```
      if (t > 7 && random() < .3) {
```
```
        fnIdx++
```
```
      }
```
```
    }
```
```
 
```

    shutter = () => hs * radA + random() * hs * (.6 - pupil)

```
 
```
```
    innerA = _ => {
```
```
      tinc = .05
```
```
      rad = shutter()
```
```
      dx = cx + rad * cos(t)
```
```
      dy = cy + rad * sin(t)
```
```
 
```
```
      if (t > 21 && random() < .3) {
```
```
        fnIdx++
```
```
      }
```
```
    }
```
```
 
```
```
    oa = 7 * 3
```
```
 
```
```
    innerB = _ => {
```
```
      tinc = .05
```
```
      T = t * random();
```
```
      dx = cx + hs * radA * cos(T)
```
```
      dy = cy + hs * radA * sin(T)
```

      if (t > 28 + oa && random() < .3) {

```
        rad = hs * .8
```
```
        fnIdx++
```
```
      }
```
```
    }
```
```
 
```
```
    outerA = _ => {
```

      R = (rad - hs * .1) + random() * hs * .1;

```
      dx = cx + R * cos(t)
```
```
      dy = cy + R * sin(t)
```

      if (t > 35 + oa && random() < .3) {

```
        fnIdx++
```
```
      }
```
```
    }
```
```
 
```
```
    outerB = _ => {
```
```
      tinc = .01;
```
```
      R = rad
```
```
      if (random() < .5) R = shutter()
```
```
      dx = cx + R * cos(t)
```
```
      dy = cy + R * sin(t)
```
```
 
```

      if (t > 42 + oa && random() < .3) {

```
        fnIdx++
```
```
        ct = t
```
```
      }
```
```
    }
```
```
 
```
```
 
```
```
    t2 = 0
```
```
    outerC = _ => {
```
```
      tinc = .1;
```
```
      t2 += .01;
```
```
      R = hs * .3
```
```
      RR = (R + t2 + random() * 10);
```
```
      dx = cx + R * .84 + RR * cos(t)
```
```
      dy = cy - R * .84 + RR * sin(t)
```
```
 
```

      if (t > 70 + oa && random() < .3) {

```
        fnIdx++
```
```
      }
```
```
    }
```
```
 
```
```
    outerD = _ => {
```
```
      tinc = .1;
```
```
      t2 += .01;
```
```
      R = hs * .1
```
```
      RR = (R + t2 + random() * 10);
```
```
      dx = cx + hs * .3 + RR * cos(t)
```
```
      dy = cy + R * .84 + RR * sin(t)
```
```
 
```

      if (t > 91 + oa && random() < .3) {

```
        fnIdx++
```
```
      }
```
```
    }
```
```
 
```
```
    outerE = _ => {
```
```
      tinc = .1;
```
```
 
```
```
      rad -= random() * .1;
```
```
      dx = cx + rad * cos(t)
```
```
      dy = cy + rad * sin(t)
```
```
 
```

      if (t > 112 + oa && random() < .3) {

```
        fnIdx++
```
```
      }
```
```
    }
```
```
    count = 0
```
```
    last = _ => {
```
```
      done = true;
```
```
 
```
```
      fillStyle = 'black'
```
```
      fillRect(0, 0, S, S);
```
```
      fillStyle = 'white'
```
```
      beginPath()
```
```
      moveTo(hs, hs)
```
```
      arc(hs, hs, hs * .8, 0, 7)
```
```
      fill()
```
```
 
```
```
      beginPath();
```
```
      moveTo(0, 0);
```
```
      bezierSkin(pnts, false)
```
```
      stroke()
```
```
 
```
```
 
```
```
      return
```
```
      count++
```
```
      if (count < 1) {
```
```
        rinit()
```
```
        setOff()
```
```
        t = 0
```
```
        fnIdx = 0
```
```
      }
```
```
    }
```
```
 
```

    fns = [outer, innerA, innerB, outerA, outerB, outerC, outerD, outerE, last]

```
    fnIdx = 0
```
```
 
```
```
    outer()
```
```
    drawX = dx
```
```
    drawY = dy
```
```
    pDrawX = 0
```
```
    pDrawY = 0
```
```
 
```
```
    strokeStyle = 'rgba(0, 0, 0, 0.8)'
```
```
    lineWidth = 1;
```
```
    tt = 0
```
```
 
```
```
    ox = 0;
```
```
    oy = 0;
```
```
    setOff = _ => {
```
```
      return
```
```
      ox = S * 1.2 * random() - S / 2
```
```
      oy = S * 1.2 * random() - S / 2
```
```
      sl = .1 + random() * .9;
```
```
    }
```
```
 
```
```
    sl = 1
```
```
    pnts = []
```
```
    done = false
```
```
    loop = _ => {
```
```
 
```
```
      if (done) {
```
```
        return;
```
```
      }
```

      shadowColor = 'rgba(155, 255, 255, .5)';

```
      shadowBlur = 15;
```
```
 
```
```
      save()
```
```
      scale(1, 1)
```
```
      lineWidth = 2;
```
```
      for (i = 0; i < 20; i++) {
```
```
        t += tinc / 2
```
```
        fns[fnIdx]()
```
```
 
```

        drawX += ((dx + ox) * sl - drawX) / 2;

        drawY += ((dy + oy) * sl - drawY) / 2;

```
 
```
```
        if (drawX != 0 && pDrawX) {
```
```
          beginPath()
```
```
          moveTo(pDrawX, pDrawY);
```
```
          lineTo(drawX, drawY);
```
```
          pnts.push(drawX, drawY);
```
```
          stroke()
```
```
        }
```
```
 
```
```
        pDrawX = drawX
```
```
        pDrawY = drawY
```
```
      }
```
```
 
```
```
      restore()
```
```
      requestAnimationFrame(loop)
```
```
    }
```
```
    loop()
```
```
  }
```
```
}
```

Another thing for #genuary2022… a single curve…

January 21, 2022

// animation // canvas // javascript

Raphaël Easing Equations How To

```
const { pow, PI } = Math;
```
```
 
```
```
// mostly unedited code from Raphaël
```
```
var ef = {
```
```
  linear: function(n) {
```
```
    return n;
```
```
  },
```
```
  '<': function(n) {
```
```
    return pow(n, 1.7);
```
```
  },
```
```
  '>': function(n) {
```
```
    return pow(n, 0.48);
```
```
  },
```
```
  '<>': function(n) {
```
```
    var q = 0.48 - n / 1.04,
```
```
      Q = Math.sqrt(0.1734 + q * q),
```
```
      x = Q - q,
```

      X = pow(abs(x), 1 / 3) * (x < 0 ? -1 : 1),

```
      y = -Q - q,
```

      Y = pow(abs(y), 1 / 3) * (y < 0 ? -1 : 1),

```
      t = X + Y + 0.5;
```

    return (1 - t) * 3 * t * t + t * t * t;

```
  },
```
```
  backIn: function(n) {
```
```
    var s = 1.70158;
```
```
    return n * n * ((s + 1) * n - s);
```
```
  },
```
```
  backOut: function(n) {
```
```
    n = n - 1;
```
```
    var s = 1.70158;
```

    return n * n * ((s + 1) * n + s) + 1;

```
  },
```
```
  elastic: function(n) {
```
```
    if (n == !!n) {
```
```
      return n;
```
```
    }
```

    return pow(2, -10 * n) * Math.sin(((n - 0.075) * (2 * PI)) / 0.3) + 1;

```
  },
```
```
  bounce: function(n) {
```
```
    var s = 7.5625,
```
```
      p = 2.75,
```
```
      l;
```
```
    if (n < 1 / p) {
```
```
      l = s * n * n;
```
```
    } else {
```
```
      if (n < 2 / p) {
```
```
        n -= 1.5 / p;
```
```
        l = s * n * n + 0.75;
```
```
      } else {
```
```
        if (n < 2.5 / p) {
```
```
          n -= 2.25 / p;
```
```
          l = s * n * n + 0.9375;
```
```
        } else {
```
```
          n -= 2.625 / p;
```
```
          l = s * n * n + 0.984375;
```
```
        }
```
```
      }
```
```
    }
```
```
    return l;
```
```
  }
```
```
};
```
```
ef.easeIn = ef['ease-in'] = ef['<'];
```
```
ef.easeOut = ef['ease-out'] = ef['>'];
```

ef.easeInOut = ef['ease-in-out'] = ef['<>'];

```
ef['back-in'] = ef.backIn;
```
```
ef['back-out'] = ef.backOut;
```
```
 
```
```
// create a dot
```
```
function dot(x, y, radius, color) {
```

  const el = document.createElement('div');

```
  const size = `${radius * 2}px`;
```
```
  Object.assign(el.style, {
```
```
    position: 'absolute',
```
```
    left: `${x}px`,
```
```
    top: `${y}px`,
```
```
    width: size,
```
```
    height: size,
```

    transform: `translate(${-radius}px, ${-radius}px)`,

```
    borderRadius: '50%',
```
```
    background: color
```
```
  });
```
```
  el.classList.add('dot');
```
```
  document.body.appendChild(el);
```
```
  return el;
```
```
}
```
```
 
```
```
const elA = dot(0, 40, 30, 'red');
```
```
const elB = dot(0, 110, 30, 'blue');
```
```
const elC = dot(0, 160, 20, 'green');
```
```
 
```
```
// how to use the easing equations:
```
```
let t = 0;
```
```
 
```
```
let start = Date.now();
```
```
let time = 0;
```
```
let duration = 2; // 2 seconds
```
```
function loop() {
```
```
  // frame based
```

  elA.style.left = `${ef.elastic(t) * 50}%`;

```
  t += 0.005;
```
```
 
```
```
  // time based
```
```
  if (time <= duration) {
```
```
    time = (Date.now() - start) / 1000;
```
```
    const param = time / duration;
```

    elB.style.left = `${ef.elastic(param) * 50}%`;

```
 
```
```
    // green bounce example
```

    elC.style.left = `${ef.bounce(param) * 50}%`;

```
  }
```
```
 
```
```
  requestAnimationFrame(loop);
```
```
}
```
```
loop();
```

I realized it might not be obvious how to use Raphaël’s easing equations. So I speed coded this example.

If you’d like to learn more about this kind of thing gsap is a great place to start… it is amazing… I highly recommend browsing the source.

January 18, 2022

// animation // javascript // oldschool // speed-coded // tricks

Raphaël Easing Equations

```
var ef = R.easing_formulas = {
```
```
    linear: function (n) {
```
```
        return n;
```
```
    },
```
```
    "<": function (n) {
```
```
        return pow(n, 1.7);
```
```
    },
```
```
    ">": function (n) {
```
```
        return pow(n, .48);
```
```
    },
```
```
    "<>": function (n) {
```
```
        var q = .48 - n / 1.04,
```

            Q = math.sqrt(.1734 + q * q),

```
            x = Q - q,
```

            X = pow(abs(x), 1 / 3) * (x < 0 ? -1 : 1),

```
            y = -Q - q,
```

            Y = pow(abs(y), 1 / 3) * (y < 0 ? -1 : 1),

```
            t = X + Y + .5;
```

        return (1 - t) * 3 * t * t + t * t * t;

```
    },
```
```
    backIn: function (n) {
```
```
        var s = 1.70158;
```

        return n * n * ((s + 1) * n - s);

```
    },
```
```
    backOut: function (n) {
```
```
        n = n - 1;
```
```
        var s = 1.70158;
```

        return n * n * ((s + 1) * n + s) + 1;

```
    },
```
```
    elastic: function (n) {
```
```
        if (n == !!n) {
```
```
            return n;
```
```
        }
```

        return pow(2, -10 * n) * math.sin((n - .075) * (2 * PI) / .3) + 1;

```
    },
```
```
    bounce: function (n) {
```
```
        var s = 7.5625,
```
```
            p = 2.75,
```
```
            l;
```
```
        if (n < (1 / p)) {
```
```
            l = s * n * n;
```
```
        } else {
```
```
            if (n < (2 / p)) {
```
```
                n -= (1.5 / p);
```
```
                l = s * n * n + .75;
```
```
            } else {
```
```
                if (n < (2.5 / p)) {
```
```
                    n -= (2.25 / p);
```

                    l = s * n * n + .9375;

```
                } else {
```
```
                    n -= (2.625 / p);
```

                    l = s * n * n + .984375;

```
                }
```
```
            }
```
```
        }
```
```
        return l;
```
```
    }
```
```
};
```
```
ef.easeIn = ef["ease-in"] = ef["<"];
```
```
ef.easeOut = ef["ease-out"] = ef[">"];
```

ef.easeInOut = ef["ease-in-out"] = ef["<>"];

```
ef["back-in"] = ef.backIn;
```
```
ef["back-out"] = ef.backOut;
```

Another fun chunk of code directly from the Raphaël source. Makes me think of the Penner easing equations.

January 17, 2022

// animation // javascript // math

Polar Forking Tweak

```
const FOUR_PI = 6 * Math.PI;
```
```
const { cos, sin } = Math;
```
```
 
```

const canvas = document.body.appendChild(

```
  document.createElement('canvas')
```
```
);
```
```
const c = canvas.getContext('2d');
```
```
 
```
```
function resize() {
```
```
  canvas.width = window.innerWidth;
```
```
  canvas.height = window.innerHeight;
```
```
}
```
```
 
```
```
let inc = 0;
```
```
function draw() { 
```
```
  c.fillStyle = 'rgba(0, 0, 0, .3)'
```

  c.fillRect(0, 0, canvas.width, canvas.height)

```
  c.fillStyle = 'white';
```
```
 
```

  const halfWidth = window.innerWidth / 2;

  const halfHeight = window.innerHeight / 2;

```
  let theta = 0,
```

    a = 20 * Math.min(window.innerWidth, window.innerHeight) * 0.005,

```
    x,
```
```
    y;
```
```
 
```
```
  c.save();
```
```
  c.translate(halfWidth, halfHeight)
```
```
 
```
```
  let b = 5 * cos(inc);
```
```
  inc += .02;
```
```
 
```

  for (let i = 0; theta < FOUR_PI; i++) {

    let rad = a * (b + 10 * sin(theta / 3));

    // randomly speed-coded and tweaked... leaving as is :D

    x = rad * cos(theta + b / 10) * cos(b / 10 +theta * 2) * cos(theta * 2);

    y = rad * sin(theta * 2) * cos(theta + b / 3) * cos(theta * 2);

```
    c.fillRect(x,y, 2, 2);
```
```
    theta += 0.04;
```
```
  }
```
```
  c.restore();
```
```
 
```
```
  requestAnimationFrame(draw)
```
```
}
```
```
 
```
```
resize();
```
```
addEventListener('resize', resize);
```
```
 
```
```
draw();
```

Just randomly futzing with sin/cos…

January 12, 2022

// animation // canvas // curves // graphics // hacks // humor // math

Freeth’s Nephroid Animated

```
const FOUR_PI = 4 * Math.PI;
```
```
const { cos, sin } = Math;
```
```
 
```

const canvas = document.body.appendChild(

```
  document.createElement('canvas')
```
```
);
```
```
const c = canvas.getContext('2d');
```
```
 
```
```
function resize() {
```
```
  canvas.width = window.innerWidth;
```
```
  canvas.height = window.innerHeight;
```
```
}
```
```
 
```
```
let inc = 0;
```
```
function draw() {
```

  c.clearRect(0, 0, canvas.width, canvas.height);

```
  c.fillStyle = 'blue';
```
```
 
```

  const halfWidth = window.innerWidth / 2;

  const halfHeight = window.innerHeight / 2;

```
  let theta = 0,
```

    a = 20 * Math.min(window.innerWidth, window.innerHeight) * 0.005,

```
    x,
```
```
    y;
```
```
 
```
```
  c.save();
```
```
  c.translate(halfWidth, halfHeight)
```
```
 
```
```
  // Freeth's Nephroid
```

  // https://mathshistory.st-andrews.ac.uk/Curves/Freeths/

```
  // r = a(1 + 2sin(θ / 2))
```
```
  let b = 2 * cos(inc);
```
```
  inc += .01;
```
```
 
```

  for (let i = 0; theta < FOUR_PI; i++) {

    let rad = a * (b + 2 * sin(theta / 2))

```
    x = rad * cos(theta);
```
```
    y = rad * sin(theta);
```
```
    c.fillRect(x, y, 2, 2);
```
```
    theta += 0.05;
```
```
  }
```
```
  c.restore();
```
```
 
```
```
  requestAnimationFrame(draw)
```
```
}
```
```
 
```
```
resize();
```

window.addEventListener('resize', resize);

```
 
```
```
draw()
```

It’s always fun to play with curves from here Famous Curves Index

January 11, 2022

// animation // canvas // javascript // math

Older Posts

Newer Posts

Speed-coded Eye

Raphaël Easing Equations How To

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