Run results for: Sqrt vs Alpha max plus beta min algorithm vs lookup table vs **0.5

Run details:

User agent: Mozilla/5.0 (Macintosh; Intel Mac OS X 10_15_7) AppleWebKit/605.1.15 (KHTML, like Gecko) Version/16.1 Safari/605.1.15

Browser: Safari 16

Operating system: Mac OS X 10.15.7

Device Platform: Desktop

Date tested: one year ago

Script Preparation code:

const hypotTable = [];
for(let i = 0; i < 10000; i++) {
  hypotTable[i] = Math.sqrt(i);
}
function hypotLookup(i) {
  return hypotTable[i];
}

Tests:

Math.sqrt()
const RAD_PER_DEG = Math.PI / 180; for(let i = 0; i < 360; i += 0.1) { const r = i * RAD_PER_DEG; const d = (100 / 360) * i; const x = Math.sin(r) * d; const y = Math.cos(r) * d; const s = Math.sqrt(x * x + y * y); }
Alpha max plus beta min
const ALPHA = 0.96043387010342; const BETA = 0.397824734759316; const RAD_PER_DEG = Math.PI / 180; for(let i = 0; i < 360; i += 0.1) { const r = i * RAD_PER_DEG; const d = (100 / 360) * i; const x = Math.abs(Math.sin(r) * d); const y = Math.abs(Math.cos(r) * d); const h = x > y ? ALPHA*x + BETA*y : ALPHA*y + BETA*x; }
Lookup table
const RAD_PER_DEG = Math.PI / 180; for(let i = 0; i < 360; i += 0.1) { const r = i * RAD_PER_DEG; const d = (100 / 360) * i; const x = Math.sin(r) * d; const y = Math.cos(r) * d; const h = hypotLookup(Math.floor(x * x + y * y)); }
** 0.5
const RAD_PER_DEG = Math.PI / 180; for(let i = 0; i < 360; i += 0.1) { const r = i * RAD_PER_DEG; const d = (100 / 360) * i; const x = Math.sin(r) * d; const y = Math.cos(r) * d; const s = (x * x + y * y) ** 0.5; }