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Starship Simulator Controls thoriumsim.com
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1.5 kB · 46 lines
TypeScript
at develop
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647// From https://karthikkaranth.me/blog/generating-random-points-in-a-sphere/export function randomPointInSphere(radius = 1) { const u = Math.random(); const v = Math.random(); const theta = u * 2.0 * Math.PI; const phi = Math.acos(2.0 * v - 1.0); const r = Math.cbrt(Math.random()) * radius; const sinTheta = Math.sin(theta); const cosTheta = Math.cos(theta); const sinPhi = Math.sin(phi); const cosPhi = Math.cos(phi); const x = r * sinPhi * cosTheta; const y = r * sinPhi * sinTheta; const z = r * cosPhi; return [x, y, z] as const;}
export function randomPointOnSphere(radius = 1) { const [x, y, z] = [generateGaussian(), generateGaussian(), generateGaussian()]; const normalized = Math.sqrt(x * x + y * y + z * z); return [(x / normalized) * radius, (y / normalized) * radius, (z / normalized) * radius] as const;}
function generateGaussian() { let u = 0; let v = 0; // Converting [0,1) to (0,1) to avoid log(0) error while (u === 0) u = Math.random(); while (v === 0) v = Math.random();
return Math.sqrt(-2.0 * Math.log(u)) * Math.cos(2.0 * Math.PI * v);}
export function randomPointInCircle(radius = 1) { const u = Math.random(); const v = Math.random(); const theta = u * 2.0 * Math.PI; const phi = Math.acos(2.0 * v - 1.0); const r = Math.cbrt(Math.random()) * radius; const sinTheta = Math.sin(theta); const cosTheta = Math.cos(theta); const sinPhi = Math.sin(phi); const x = r * sinPhi * cosTheta; const y = r * sinPhi * sinTheta; return [x, y] as const;}