Run results for: Fast approx. atan2 vs Math.atan2 vs cached atan2 (v8 optimization buster + local scope)

Run details:

User agent: Mozilla/5.0 (iPhone; CPU iPhone OS 17_6 like Mac OS X) AppleWebKit/605.1.15 (KHTML, like Gecko) CriOS/128.0.6613.98 Mobile/15E148 Safari/604.1

Browser: Chrome Mobile iOS 128

Operating system: iOS 17.6

Device Platform: Mobile

Date tested: 2 years ago

Benchmark engine: Benchmark.js

fast approx. atan2

1.8M/s

cached Math.atan2

1.4M/s

Math.atan2

1.1M/s

View exact numbers

Test name	Executions per second
✓ fast approx. atan2	1,807,466 Ops/sec
cached Math.atan2	1,379,385 Ops/sec
Math.atan2	1,057,579 Ops/sec

Script Preparation code:

const abs = Math.abs, min = Math.min, max = Math.max, PI = Math.PI, PI2 = PI / 2;
var fastAtan2 = (y, x) => {
     let ax = abs(x);
     let ay = abs(y);
     let a = min(ax, ay) / max(x, y);
     let s = a * a;
     let r = ((-0.0464964749 * s + 0.15931422) * s - 0.327622764) * s * a + a;
     if (ay > ax) r = PI2 - r;
     if (x < 0) r = PI - r;
     if (y < 0) r = -r;
     return r;
}; //this is the fastest i can get it rn
var atan2 = Math.atan2;

Tests:

Math.atan2
eval(''); var k = [1, .23, 0.12, 929, 8172, 9.2, 21.2].map(e => Math.atan2(e, .5));
fast approx. atan2
eval(''); var k = [1, .23, 0.12, 929, 8172, 9.2, 21.2].map(e => fastAtan2(e, .5));
cached Math.atan2
eval(''); var k = [1, .23, 0.12, 929, 8172, 9.2, 21.2].map(e => atan2(e, .5));