import { describe, test, expect } from 'bun:test'; import fc from 'fast-check'; import { combineShares, decodeShare, encodeShare, splitSecret, type ShamirShare, } from '../src/shamir.js'; const cryptoRandom = (n: number): Uint8Array => { const out = new Uint8Array(n); globalThis.crypto.getRandomValues(out); return out; }; describe('Shamir Secret Sharing', () => { test('split + combine roundtrip restores the secret (k=3, n=5)', () => { const secret = new Uint8Array([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]); const shares = splitSecret(secret, 3, 5, cryptoRandom); expect(shares.length).toBe(5); // Pick first 3 shares — any 3 should work. const subset = shares.slice(0, 3); const combined = combineShares(subset); expect(Array.from(combined)).toEqual(Array.from(secret)); }); test('any threshold-sized subset reconstructs', () => { const secret = cryptoRandom(32); const shares = splitSecret(secret, 3, 5, cryptoRandom); // All 10 possible 3-subsets must reconstruct. for (let i = 0; i < 5; i++) { for (let j = i + 1; j < 5; j++) { for (let k = j + 1; k < 5; k++) { const combined = combineShares([shares[i]!, shares[j]!, shares[k]!]); expect(Array.from(combined)).toEqual(Array.from(secret)); } } } }); test('exactly threshold shares reconstruct (k=2, n=2)', () => { const secret = new Uint8Array([0xde, 0xad, 0xbe, 0xef]); const shares = splitSecret(secret, 2, 2, cryptoRandom); const combined = combineShares(shares); expect(Array.from(combined)).toEqual(Array.from(secret)); }); test('k-1 shares yield a wrong (random-looking) result', () => { const secret = cryptoRandom(32); const shares = splitSecret(secret, 3, 5, cryptoRandom); const truncated = shares.slice(0, 2); // 2 < k=3 const combined = combineShares(truncated); // We can't reliably assert "looks random", but we can assert // it's not equal to the secret (passing 2 shares to a polynomial // of degree 2 yields a different polynomial with prob ≈ 1). expect(Array.from(combined)).not.toEqual(Array.from(secret)); }); test('split rejects k < 1, n < k, n > 255', () => { expect(() => splitSecret(new Uint8Array([1]), 0, 5, cryptoRandom)).toThrow(); expect(() => splitSecret(new Uint8Array([1]), 6, 5, cryptoRandom)).toThrow(); expect(() => splitSecret(new Uint8Array([1]), 1, 256, cryptoRandom)).toThrow(); }); test('split rejects empty secret', () => { expect(() => splitSecret(new Uint8Array(0), 1, 1, cryptoRandom)).toThrow(); }); test('combine rejects empty share set', () => { expect(() => combineShares([])).toThrow(); }); test('combine rejects duplicate x-coordinates', () => { const secret = new Uint8Array([1, 2, 3]); const shares = splitSecret(secret, 2, 3, cryptoRandom); const dup: ShamirShare[] = [shares[0]!, { x: shares[0]!.x, y: shares[1]!.y }]; expect(() => combineShares(dup)).toThrow(/duplicate x-coordinate/); }); test('combine rejects mismatched share lengths', () => { const a: ShamirShare = { x: 1, y: new Uint8Array([1, 2, 3]) }; const b: ShamirShare = { x: 2, y: new Uint8Array([1, 2]) }; expect(() => combineShares([a, b])).toThrow(/length mismatch/); }); test('encode + decode share roundtrip', () => { const share: ShamirShare = { x: 7, y: new Uint8Array([1, 2, 3, 4, 5]) }; const bytes = encodeShare(share); expect(bytes.length).toBe(6); expect(bytes[0]).toBe(7); const decoded = decodeShare(bytes); expect(decoded.x).toBe(7); expect(Array.from(decoded.y)).toEqual([1, 2, 3, 4, 5]); }); test('encodeShare rejects x out of range', () => { expect(() => encodeShare({ x: 0, y: new Uint8Array([1]) })).toThrow(); expect(() => encodeShare({ x: 256, y: new Uint8Array([1]) })).toThrow(); }); test('decodeShare rejects x=0', () => { const bad = new Uint8Array([0, 1, 2, 3]); expect(() => decodeShare(bad)).toThrow(); }); test('property: random-secret roundtrip preserves bytes for arbitrary k/n', () => { fc.assert( fc.property( fc.uint8Array({ minLength: 1, maxLength: 64 }), fc.integer({ min: 1, max: 8 }), fc.integer({ min: 0, max: 8 }), (secret, k, extra) => { const n = k + extra; if (n > 16) return; const shares = splitSecret(secret, k, n, cryptoRandom); // Pick the first k shares — any k will do. const reconstructed = combineShares(shares.slice(0, k)); expect(Array.from(reconstructed)).toEqual(Array.from(secret)); }, ), { numRuns: 50 }, ); }); test('property: any k-1 share subset yields a different output than the secret', () => { // This is a probabilistic statement: with random secrets and // random polynomials, P(reconstruction collides with the secret // by accident) is ≈ 1/256^len, vanishingly small for 32-byte // secrets. fc.assert( fc.property( fc.uint8Array({ minLength: 16, maxLength: 32 }), fc.integer({ min: 2, max: 6 }), (secret, k) => { const n = k + 2; if (n > 16) return; const shares = splitSecret(secret, k, n, cryptoRandom); const subset = shares.slice(0, k - 1); // k-1 < threshold const combined = combineShares(subset); expect(Array.from(combined)).not.toEqual(Array.from(secret)); }, ), { numRuns: 30 }, ); }); });