import * as elliptic from 'elliptic' import Sha512 from './Sha512' const secp256k1 = elliptic.ec('secp256k1') function deriveScalar(bytes, discrim?: number) { const order = secp256k1.curve.n for (let i = 0; i <= 0xffffffff; i++) { // We hash the bytes to find a 256 bit number, looping until we are sure it // is less than the order of the curve. const hasher = new Sha512().add(bytes) // If the optional discriminator index was passed in, update the hash. if (discrim !== undefined) { hasher.addU32(discrim) } hasher.addU32(i) const key = hasher.first256BN() /* istanbul ignore else */ if (key.cmpn(0) > 0 && key.cmp(order) < 0) { return key } } // This error is practically impossible to reach. // The order of the curve describes the (finite) amount of points on the curve // https://github.com/indutny/elliptic/blob/master/lib/elliptic/curves.js#L182 // How often will an (essentially) random number generated by Sha512 be larger than that? // There's 2^32 chances (the for loop) to get a number smaller than the order, // and it's rare that you'll even get past the first loop iteration. // Note that in TypeScript we actually need the throw, otherwise the function signature would be BN | undefined // /* istanbul ignore next */ throw new Error('impossible unicorn ;)') } /** * @param seed - Bytes. * @param [opts] - Object. * @param [opts.accountIndex=0] - The account number to generate. * @param [opts.validator=false] - Generate root key-pair, * as used by validators. * @returns {bn.js} 256 bit scalar value. * */ export function derivePrivateKey( seed, opts: { validator?: boolean accountIndex?: number } = {}, ) { const root = opts.validator const order = secp256k1.curve.n // This private generator represents the `root` private key, and is what's // used by validators for signing when a keypair is generated from a seed. const privateGen = deriveScalar(seed) if (root) { // As returned by validation_create for a given seed return privateGen } const publicGen = secp256k1.g.mul(privateGen) // A seed can generate many keypairs as a function of the seed and a uint32. // Almost everyone just uses the first account, `0`. const accountIndex = opts.accountIndex || 0 return deriveScalar(publicGen.encodeCompressed(), accountIndex) .add(privateGen) .mod(order) } export function accountPublicFromPublicGenerator(publicGenBytes) { const rootPubPoint = secp256k1.curve.decodePoint(publicGenBytes) const scalar = deriveScalar(publicGenBytes, 0) const point = secp256k1.g.mul(scalar) const offset = rootPubPoint.add(point) return offset.encodeCompressed() }