Run results for: fast sin cos vs math sin cos

Run details:

User agent: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/114.0.0.0 Safari/537.36

Browser: Chrome 114

Operating system: Windows

Device Platform: Desktop

Date tested: one year ago

Test name	Executions per second
Math.sin	3187.6 Ops/sec
Math.cos	3449.3 Ops/sec
fastSin	4900.3 Ops/sec
fastCos	4490.5 Ops/sec
lookupSin	1243.4 Ops/sec
lookupCos	1293.5 Ops/sec

Script Preparation code:

var random = new Float64Array(1000);
var lSin = new Float64Array(1000);
var lCos = new Float64Array(1000);
for (let i = 0; i < 1000; i++) {
    random[i] = Math.random() * 1000000;
}
for (let i = 0; i < 1000; i++) {
  lSin[i] = Math.sin(i * Math.PI / 1000);
  lCos[i] = Math.sin(i * Math.PI / 1000);
}

function fastCos(x) {
    x += 1.57079632;
    x -= ((x > 3.14159265) ? 6.28318530 : 0);
    return (x < 0) ? (1.27323954 * x) + (0.40528473 * x * x) : (1.27323954 * x) - (0.40528473 * x * x);
}

function fastSin(x) {
    x -= ((x > 3.14159265) ? 6.28318530 : 0);
    return (x < 0) ? (1.27323954 * x) + (0.40528473 * x * x) : (1.27323954 * x) - (0.40528473 * x * x);
}

function lookupSin(x) {
  return lSin[Math.round((x % 1000) * 1000) / 1000];
}

function lookupCos(x) {
  return lSin[Math.round((x % 1000) * 1000) / 1000];
}

Tests:

Math.sin
for (let i = 0; i < 1000; i++) { Math.sin(random[i]); }
Math.cos
for (let i = 0; i < 1000; i++) { Math.cos(random[i]); }
fastSin
for (let i = 0; i < 1000; i++) { fastSin(random[i]); }
fastCos
for (let i = 0; i < 1000; i++) { fastCos(random[i]); }
lookupSin
for (let i = 0; i < 1000; i++) { lookupSin(random[i]); }
lookupCos
for (let i = 0; i < 1000; i++) { lookupCos(random[i]); }

Run results for: fast sin cos vs math sin cos

testing faster functions

Math.sin

Math.cos

fastSin

fastCos

lookupSin

lookupCos