import { sha512 } from '@noble/hashes/sha512'; import { bytesToHex as hex, hexToBytes } from '@noble/hashes/utils'; import { deepStrictEqual, throws } from 'assert'; import { describe, should } from 'micro-should'; import { bytesToNumberLE, numberToBytesLE } from '../esm/abstract/utils.js'; import { default as x25519vectors } from './wycheproof/x25519_test.json' assert { type: 'json' }; import { ed25519, ed25519ctx, ed25519ph, edwardsToMontgomery, edwardsToMontgomeryPriv, RistrettoPoint, x25519, } from '../esm/ed25519.js'; const VECTORS_RFC8032_CTX = [ { secretKey: '0305334e381af78f141cb666f6199f57bc3495335a256a95bd2a55bf546663f6', publicKey: 'dfc9425e4f968f7f0c29f0259cf5f9aed6851c2bb4ad8bfb860cfee0ab248292', message: 'f726936d19c800494e3fdaff20b276a8', context: '666f6f', signature: '55a4cc2f70a54e04288c5f4cd1e45a7b' + 'b520b36292911876cada7323198dd87a' + '8b36950b95130022907a7fb7c4e9b2d5' + 'f6cca685a587b4b21f4b888e4e7edb0d', }, { secretKey: '0305334e381af78f141cb666f6199f57bc3495335a256a95bd2a55bf546663f6', publicKey: 'dfc9425e4f968f7f0c29f0259cf5f9aed6851c2bb4ad8bfb860cfee0ab248292', message: 'f726936d19c800494e3fdaff20b276a8', context: '626172', signature: 'fc60d5872fc46b3aa69f8b5b4351d580' + '8f92bcc044606db097abab6dbcb1aee3' + '216c48e8b3b66431b5b186d1d28f8ee1' + '5a5ca2df6668346291c2043d4eb3e90d', }, { secretKey: '0305334e381af78f141cb666f6199f57bc3495335a256a95bd2a55bf546663f6', publicKey: 'dfc9425e4f968f7f0c29f0259cf5f9aed6851c2bb4ad8bfb860cfee0ab248292', message: '508e9e6882b979fea900f62adceaca35', context: '666f6f', signature: '8b70c1cc8310e1de20ac53ce28ae6e72' + '07f33c3295e03bb5c0732a1d20dc6490' + '8922a8b052cf99b7c4fe107a5abb5b2c' + '4085ae75890d02df26269d8945f84b0b', }, { secretKey: 'ab9c2853ce297ddab85c993b3ae14bcad39b2c682beabc27d6d4eb20711d6560', publicKey: '0f1d1274943b91415889152e893d80e93275a1fc0b65fd71b4b0dda10ad7d772', message: 'f726936d19c800494e3fdaff20b276a8', context: '666f6f', signature: '21655b5f1aa965996b3f97b3c849eafb' + 'a922a0a62992f73b3d1b73106a84ad85' + 'e9b86a7b6005ea868337ff2d20a7f5fb' + 'd4cd10b0be49a68da2b2e0dc0ad8960f', }, ]; describe('RFC8032ctx', () => { for (let i = 0; i < VECTORS_RFC8032_CTX.length; i++) { const v = VECTORS_RFC8032_CTX[i]; should(`${i}`, () => { deepStrictEqual(hex(ed25519ctx.getPublicKey(v.secretKey)), v.publicKey); deepStrictEqual( hex(ed25519ctx.sign(v.message, v.secretKey, { context: v.context })), v.signature ); deepStrictEqual( ed25519ctx.verify(v.signature, v.message, v.publicKey, { context: v.context }), true ); }); } }); const VECTORS_RFC8032_PH = [ { secretKey: '833fe62409237b9d62ec77587520911e9a759cec1d19755b7da901b96dca3d42', publicKey: 'ec172b93ad5e563bf4932c70e1245034c35467ef2efd4d64ebf819683467e2bf', message: '616263', signature: '98a70222f0b8121aa9d30f813d683f80' + '9e462b469c7ff87639499bb94e6dae41' + '31f85042463c2a355a2003d062adf5aa' + 'a10b8c61e636062aaad11c2a26083406', }, ]; describe('RFC8032ph', () => { for (let i = 0; i < VECTORS_RFC8032_PH.length; i++) { const v = VECTORS_RFC8032_PH[i]; should(`${i}`, () => { deepStrictEqual(hex(ed25519ph.getPublicKey(v.secretKey)), v.publicKey); deepStrictEqual(hex(ed25519ph.sign(v.message, v.secretKey)), v.signature); deepStrictEqual(ed25519ph.verify(v.signature, v.message, v.publicKey), true); }); } }); // x25519 describe('RFC7748 X25519 ECDH', () => { const rfc7748Mul = [ { scalar: 'a546e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449ac4', u: 'e6db6867583030db3594c1a424b15f7c726624ec26b3353b10a903a6d0ab1c4c', outputU: 'c3da55379de9c6908e94ea4df28d084f32eccf03491c71f754b4075577a28552', }, { scalar: '4b66e9d4d1b4673c5ad22691957d6af5c11b6421e0ea01d42ca4169e7918ba0d', u: 'e5210f12786811d3f4b7959d0538ae2c31dbe7106fc03c3efc4cd549c715a493', outputU: '95cbde9476e8907d7aade45cb4b873f88b595a68799fa152e6f8f7647aac7957', }, ]; for (let i = 0; i < rfc7748Mul.length; i++) { const v = rfc7748Mul[i]; should(`scalarMult (${i})`, () => { deepStrictEqual(hex(x25519.scalarMult(v.scalar, v.u)), v.outputU); }); } const rfc7748Iter = [ { scalar: '422c8e7a6227d7bca1350b3e2bb7279f7897b87bb6854b783c60e80311ae3079', iters: 1 }, { scalar: '684cf59ba83309552800ef566f2f4d3c1c3887c49360e3875f2eb94d99532c51', iters: 1000 }, // { scalar: '7c3911e0ab2586fd864497297e575e6f3bc601c0883c30df5f4dd2d24f665424', iters: 1000000 }, ]; for (let i = 0; i < rfc7748Iter.length; i++) { const { scalar, iters } = rfc7748Iter[i]; should(`scalarMult iteration x${iters}`, () => { let k = x25519.GuBytes; for (let i = 0, u = k; i < iters; i++) [k, u] = [x25519.scalarMult(k, u), k]; deepStrictEqual(hex(k), scalar); }); } should('getSharedKey', () => { const alicePrivate = '77076d0a7318a57d3c16c17251b26645df4c2f87ebc0992ab177fba51db92c2a'; const alicePublic = '8520f0098930a754748b7ddcb43ef75a0dbf3a0d26381af4eba4a98eaa9b4e6a'; const bobPrivate = '5dab087e624a8a4b79e17f8b83800ee66f3bb1292618b6fd1c2f8b27ff88e0eb'; const bobPublic = 'de9edb7d7b7dc1b4d35b61c2ece435373f8343c85b78674dadfc7e146f882b4f'; const shared = '4a5d9d5ba4ce2de1728e3bf480350f25e07e21c947d19e3376f09b3c1e161742'; deepStrictEqual(alicePublic, hex(x25519.getPublicKey(alicePrivate))); deepStrictEqual(bobPublic, hex(x25519.getPublicKey(bobPrivate))); deepStrictEqual(hex(x25519.scalarMult(alicePrivate, bobPublic)), shared); deepStrictEqual(hex(x25519.scalarMult(bobPrivate, alicePublic)), shared); }); should('X25519/getSharedSecret() should be commutative', () => { for (let i = 0; i < 512; i++) { const asec = x25519.utils.randomPrivateKey(); const apub = x25519.getPublicKey(asec); const bsec = x25519.utils.randomPrivateKey(); const bpub = x25519.getPublicKey(bsec); try { deepStrictEqual(x25519.getSharedSecret(asec, bpub), x25519.getSharedSecret(bsec, apub)); } catch (error) { console.error('not commutative', { asec, apub, bsec, bpub }); throw error; } } }); should('edwardsToMontgomery should produce correct output', () => { const edSecret = hexToBytes('77076d0a7318a57d3c16c17251b26645df4c2f87ebc0992ab177fba51db92c2a'); const edPublic = ed25519.getPublicKey(edSecret); const xPrivate = edwardsToMontgomeryPriv(edSecret); deepStrictEqual( hex(xPrivate), 'a8cd44eb8e93319c0570bc11005c0e0189d34ff02f6c17773411ad191293c94f' ); const xPublic = edwardsToMontgomery(edPublic); deepStrictEqual( hex(xPublic), 'ed7749b4d989f6957f3bfde6c56767e988e21c9f8784d91d610011cd553f9b06' ); }); should('edwardsToMontgomery should produce correct keyPair', () => { const edSecret = ed25519.utils.randomPrivateKey(); const edPublic = ed25519.getPublicKey(edSecret); const hashed = ed25519.CURVE.hash(edSecret.subarray(0, 32)); const xSecret = ed25519.CURVE.adjustScalarBytes(hashed.subarray(0, 32)); const expectedXPublic = x25519.getPublicKey(xSecret); const xPublic = edwardsToMontgomery(edPublic); deepStrictEqual(xPublic, expectedXPublic); }); should('ECDH through edwardsToMontgomery should be commutative', () => { const edSecret1 = ed25519.utils.randomPrivateKey(); const edPublic1 = ed25519.getPublicKey(edSecret1); const edSecret2 = ed25519.utils.randomPrivateKey(); const edPublic2 = ed25519.getPublicKey(edSecret2); deepStrictEqual( x25519.getSharedSecret(edwardsToMontgomeryPriv(edSecret1), edwardsToMontgomery(edPublic2)), x25519.getSharedSecret(edwardsToMontgomeryPriv(edSecret2), edwardsToMontgomery(edPublic1)) ); }); should('base point', () => { const { y } = ed25519ph.ExtendedPoint.BASE; const { Fp } = ed25519ph.CURVE; const u = Fp.create((y + 1n) * Fp.inv(1n - y)); deepStrictEqual(numberToBytesLE(u, 32), x25519.GuBytes); }); const group = x25519vectors.testGroups[0]; should('wycheproof', () => { for (let i = 0; i < group.tests.length; i++) { const v = group.tests[i]; const comment = `(${i}, ${v.result}) ${v.comment}`; if (v.result === 'valid' || v.result === 'acceptable') { try { const shared = hex(x25519.scalarMult(v.private, v.public)); deepStrictEqual(shared, v.shared, comment); } catch (e) { // We are more strict if (e.message.includes('Expected valid scalar')) return; if (e.message.includes('Invalid private or public key received')) return; throw e; } } else if (v.result === 'invalid') { let failed = false; try { x25519.scalarMult(v.private, v.public); } catch (error) { failed = true; } deepStrictEqual(failed, true, comment); } else throw new Error('unknown test result'); } }); }); function utf8ToBytes(str) { if (typeof str !== 'string') { throw new Error(`utf8ToBytes expected string, got ${typeof str}`); } return new TextEncoder().encode(str); } describe('ristretto255', () => { should('follow the byte encodings of small multiples', () => { const encodingsOfSmallMultiples = [ // This is the identity point '0000000000000000000000000000000000000000000000000000000000000000', // This is the basepoint 'e2f2ae0a6abc4e71a884a961c500515f58e30b6aa582dd8db6a65945e08d2d76', // These are small multiples of the basepoint '6a493210f7499cd17fecb510ae0cea23a110e8d5b901f8acadd3095c73a3b919', '94741f5d5d52755ece4f23f044ee27d5d1ea1e2bd196b462166b16152a9d0259', 'da80862773358b466ffadfe0b3293ab3d9fd53c5ea6c955358f568322daf6a57', 'e882b131016b52c1d3337080187cf768423efccbb517bb495ab812c4160ff44e', 'f64746d3c92b13050ed8d80236a7f0007c3b3f962f5ba793d19a601ebb1df403', '44f53520926ec81fbd5a387845beb7df85a96a24ece18738bdcfa6a7822a176d', '903293d8f2287ebe10e2374dc1a53e0bc887e592699f02d077d5263cdd55601c', '02622ace8f7303a31cafc63f8fc48fdc16e1c8c8d234b2f0d6685282a9076031', '20706fd788b2720a1ed2a5dad4952b01f413bcf0e7564de8cdc816689e2db95f', 'bce83f8ba5dd2fa572864c24ba1810f9522bc6004afe95877ac73241cafdab42', 'e4549ee16b9aa03099ca208c67adafcafa4c3f3e4e5303de6026e3ca8ff84460', 'aa52e000df2e16f55fb1032fc33bc42742dad6bd5a8fc0be0167436c5948501f', '46376b80f409b29dc2b5f6f0c52591990896e5716f41477cd30085ab7f10301e', 'e0c418f7c8d9c4cdd7395b93ea124f3ad99021bb681dfc3302a9d99a2e53e64e', ]; let B = RistrettoPoint.BASE; let P = RistrettoPoint.ZERO; for (const encoded of encodingsOfSmallMultiples) { deepStrictEqual(P.toHex(), encoded); deepStrictEqual(RistrettoPoint.fromHex(encoded).toHex(), encoded); P = P.add(B); } }); should('not convert bad bytes encoding', () => { const badEncodings = [ // These are all bad because they're non-canonical field encodings. '00ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff', 'ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f', 'f3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f', 'edffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f', // These are all bad because they're negative field elements. '0100000000000000000000000000000000000000000000000000000000000000', '01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f', 'ed57ffd8c914fb201471d1c3d245ce3c746fcbe63a3679d51b6a516ebebe0e20', 'c34c4e1826e5d403b78e246e88aa051c36ccf0aafebffe137d148a2bf9104562', 'c940e5a4404157cfb1628b108db051a8d439e1a421394ec4ebccb9ec92a8ac78', '47cfc5497c53dc8e61c91d17fd626ffb1c49e2bca94eed052281b510b1117a24', 'f1c6165d33367351b0da8f6e4511010c68174a03b6581212c71c0e1d026c3c72', '87260f7a2f12495118360f02c26a470f450dadf34a413d21042b43b9d93e1309', // These are all bad because they give a nonsquare x². '26948d35ca62e643e26a83177332e6b6afeb9d08e4268b650f1f5bbd8d81d371', '4eac077a713c57b4f4397629a4145982c661f48044dd3f96427d40b147d9742f', 'de6a7b00deadc788eb6b6c8d20c0ae96c2f2019078fa604fee5b87d6e989ad7b', 'bcab477be20861e01e4a0e295284146a510150d9817763caf1a6f4b422d67042', '2a292df7e32cababbd9de088d1d1abec9fc0440f637ed2fba145094dc14bea08', 'f4a9e534fc0d216c44b218fa0c42d99635a0127ee2e53c712f70609649fdff22', '8268436f8c4126196cf64b3c7ddbda90746a378625f9813dd9b8457077256731', '2810e5cbc2cc4d4eece54f61c6f69758e289aa7ab440b3cbeaa21995c2f4232b', // These are all bad because they give a negative xy value. '3eb858e78f5a7254d8c9731174a94f76755fd3941c0ac93735c07ba14579630e', 'a45fdc55c76448c049a1ab33f17023edfb2be3581e9c7aade8a6125215e04220', 'd483fe813c6ba647ebbfd3ec41adca1c6130c2beeee9d9bf065c8d151c5f396e', '8a2e1d30050198c65a54483123960ccc38aef6848e1ec8f5f780e8523769ba32', '32888462f8b486c68ad7dd9610be5192bbeaf3b443951ac1a8118419d9fa097b', '227142501b9d4355ccba290404bde41575b037693cef1f438c47f8fbf35d1165', '5c37cc491da847cfeb9281d407efc41e15144c876e0170b499a96a22ed31e01e', '445425117cb8c90edcbc7c1cc0e74f747f2c1efa5630a967c64f287792a48a4b', // This is s = -1, which causes y = 0. 'ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f', ]; for (const badBytes of badEncodings) { const b = hexToBytes(badBytes); throws(() => RistrettoPoint.fromHex(b), badBytes); } }); should('create right points from uniform hash', () => { const labels = [ 'Ristretto is traditionally a short shot of espresso coffee', 'made with the normal amount of ground coffee but extracted with', 'about half the amount of water in the same amount of time', 'by using a finer grind.', 'This produces a concentrated shot of coffee per volume.', 'Just pulling a normal shot short will produce a weaker shot', 'and is not a Ristretto as some believe.', ]; const encodedHashToPoints = [ '3066f82a1a747d45120d1740f14358531a8f04bbffe6a819f86dfe50f44a0a46', 'f26e5b6f7d362d2d2a94c5d0e7602cb4773c95a2e5c31a64f133189fa76ed61b', '006ccd2a9e6867e6a2c5cea83d3302cc9de128dd2a9a57dd8ee7b9d7ffe02826', 'f8f0c87cf237953c5890aec3998169005dae3eca1fbb04548c635953c817f92a', 'ae81e7dedf20a497e10c304a765c1767a42d6e06029758d2d7e8ef7cc4c41179', 'e2705652ff9f5e44d3e841bf1c251cf7dddb77d140870d1ab2ed64f1a9ce8628', '80bd07262511cdde4863f8a7434cef696750681cb9510eea557088f76d9e5065', ]; for (let i = 0; i < labels.length; i++) { const hash = sha512(utf8ToBytes(labels[i])); const point = RistrettoPoint.hashToCurve(hash); deepStrictEqual(point.toHex(), encodedHashToPoints[i]); } }); should('have proper equality testing', () => { const MAX_255B = BigInt('0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff'); const bytes255ToNumberLE = (bytes) => ed25519ctx.CURVE.Fp.create(bytesToNumberLE(bytes) & MAX_255B); const priv = new Uint8Array([ 198, 101, 65, 165, 93, 120, 37, 238, 16, 133, 10, 35, 253, 243, 161, 246, 229, 135, 12, 137, 202, 114, 222, 139, 146, 123, 4, 125, 152, 173, 1, 7, ]); const pub = RistrettoPoint.BASE.multiply(bytes255ToNumberLE(priv)); deepStrictEqual(pub.equals(RistrettoPoint.ZERO), false); }); }); // ESM is broken. import url from 'url'; if (import.meta.url === url.pathToFileURL(process.argv[1]).href) { should.run(); }