'use strict'; var BN = require('./bn'); var BufferReader = require('../encoding/bufferreader'); var Point = require('./point'); var Signature = require('./signature'); var PublicKey = require('../publickey'); var PrivateKey = require('../privatekey'); var Random = require('./random'); var Hash = require('./hash'); var ECDSA = function ECDSA(obj) { if (!(this instanceof ECDSA)) { return new ECDSA(obj); } if (obj) { this.set(obj); } }; ECDSA.prototype.set = function(obj) { this.hashbuf = obj.hashbuf || this.hashbuf; this.endian = obj.endian || this.endian; //the endianness of hashbuf this.privkey = obj.privkey || this.privkey; this.pubkey = obj.pubkey || (this.privkey ? this.privkey.publicKey : this.pubkey); this.sig = obj.sig || this.sig; this.k = obj.k || this.k; this.verified = obj.verified || this.verified; return this; }; ECDSA.prototype.privkey2pubkey = function() { this.pubkey = this.privkey.toPublicKey(); }; ECDSA.prototype.calci = function() { for (var i = 0; i < 4; i++) { this.sig.i = i; var Qprime; try { Qprime = this.sig2pubkey(); } catch (e) { console.error(e); continue; } if (Qprime.point.eq(this.pubkey.point)) { this.sig.compressed = this.pubkey.compressed; return this; } } this.sig.i = undefined; throw new Error('Unable to find valid recovery factor'); }; ECDSA.prototype.fromString = function(str) { var obj = JSON.parse(str); if (obj.hashbuf) { this.hashbuf = new Buffer(obj.hashbuf, 'hex'); } if (obj.pubkey) { this.pubkey = PublicKey.fromString(obj.pubkey); } if (obj.privkey) { this.privkey = PrivateKey.fromString(obj.privkey); } if (obj.sig) { this.sig = Signature().fromString(obj.sig); } if (obj.k) { this.k = BN(obj.k, 10); } return this; }; ECDSA.prototype.randomK = function() { var N = Point.getN(); var k; do { k = BN().fromBuffer(Random.getRandomBuffer(32)); } while (!(k.lt(N) && k.gt(0))); this.k = k; return this; }; // https://tools.ietf.org/html/rfc6979#section-3.2 ECDSA.prototype.deterministicK = function(badrs) { var v = new Buffer(32); v.fill(0x01); var k = new Buffer(32); k.fill(0x00); var x = this.privkey.bn.toBuffer({size: 32}); k = Hash.sha256hmac(Buffer.concat([v, new Buffer([0x00]), x, this.hashbuf]), k); v = Hash.sha256hmac(v, k); k = Hash.sha256hmac(Buffer.concat([v, new Buffer([0x01]), x, this.hashbuf]), k); v = Hash.sha256hmac(v, k); v = Hash.sha256hmac(v, k); var T = BN().fromBuffer(v); var N = Point.getN(); // if r or s were invalid when this function was used in signing, // we do not want to actually compute r, s here for efficiency, so, // we can increment badrs. explained at end of RFC 6979 section 3.2 if (typeof badrs === 'undefined') badrs = 0; // also explained in 3.2, we must ensure T is in the proper range (0, N) for (var i = 0; i < badrs || !(T.lt(N) && T.gt(0)); i++) { k = Hash.sha256hmac(Buffer.concat([v, new Buffer([0x00])]), k); v = Hash.sha256hmac(v, k); T = BN().fromBuffer(v); } this.k = T; return this; }; // Information about public key recovery: // https://bitcointalk.org/index.php?topic=6430.0 // http://stackoverflow.com/questions/19665491/how-do-i-get-an-ecdsa-public-key-from-just-a-bitcoin-signature-sec1-4-1-6-k ECDSA.prototype.sig2pubkey = function() { var i = this.sig.i; if (!(i === 0 || i === 1 || i === 2 || i === 3)) throw new Error('i must be equal to 0, 1, 2, or 3'); var e = BN().fromBuffer(this.hashbuf); var r = this.sig.r; var s = this.sig.s; // A set LSB signifies that the y-coordinate is odd var isYOdd = i & 1; // The more significant bit specifies whether we should use the // first or second candidate key. var isSecondKey = i >> 1; var n = Point.getN(); var G = Point.getG(); // 1.1 Let x = r + jn var x = isSecondKey ? r.add(n) : r; var R = Point.fromX(isYOdd, x); // 1.4 Check that nR is at infinity var nR = R.mul(n); if (!nR.isInfinity()) throw new Error('nR is not a valid curve point'); // Compute -e from e var eNeg = e.neg().mod(n); // 1.6.1 Compute Q = r^-1 (sR - eG) // Q = r^-1 (sR + -eG) var rInv = r.invm(n); //var Q = R.multiplyTwo(s, G, eNeg).mul(rInv); var Q = R.mul(s).add(G.mul(eNeg)).mul(rInv); var pubkey = PublicKey.fromPoint(Q, this.sig.compressed); return pubkey; }; ECDSA.prototype.sigError = function() { if (!Buffer.isBuffer(this.hashbuf) || this.hashbuf.length !== 32) { return 'hashbuf must be a 32 byte buffer'; } var r = this.sig.r; var s = this.sig.s; if (!(r.gt(0) && r.lt(Point.getN())) || !(s.gt(0) && s.lt(Point.getN()))) return 'r and s not in range'; var e = BN().fromBuffer(this.hashbuf, this.endian ? {endian: this.endian} : undefined); var n = Point.getN(); var sinv = s.invm(n); var u1 = sinv.mul(e).mod(n); var u2 = sinv.mul(r).mod(n); var p = Point.getG().mulAdd(u1, this.pubkey.point, u2); if (p.isInfinity()) return 'p is infinity'; if (!(p.getX().mod(n).cmp(r) === 0)) return 'Invalid signature'; else return false; }; ECDSA.prototype.sign = function() { var hashbuf = this.hashbuf; var privkey = this.privkey; var d = privkey.bn; if (!hashbuf || !privkey || !d) throw new Error('invalid parameters'); if (!Buffer.isBuffer(hashbuf) || hashbuf.length !== 32) throw new Error('hashbuf must be a 32 byte buffer'); var N = Point.getN(); var G = Point.getG(); var e = BN().fromBuffer(hashbuf, this.endian ? {endian: this.endian} : undefined); // try different values of k until r, s are valid var badrs = 0; do { if (!this.k || badrs > 0) this.deterministicK(badrs); badrs++; var k = this.k; var Q = G.mul(k); var r = Q.x.mod(N); var s = k.invm(N).mul(e.add(d.mul(r))).mod(N); } while (r.cmp(0) <= 0 || s.cmp(0) <= 0); //enforce low s //see BIP 62, "low S values in signatures" if (s.gt(BN().fromBuffer(new Buffer('7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF5D576E7357A4501DDFE92F46681B20A0', 'hex')))) { s = Point.getN().sub(s); } this.sig = new Signature({r: r, s: s, compressed: this.pubkey.compressed}); return this; }; ECDSA.prototype.signRandomK = function() { this.randomK(); return this.sign(); }; ECDSA.prototype.toString = function() { var obj = {}; if (this.hashbuf) { obj.hashbuf = this.hashbuf.toString('hex'); } if (this.privkey) { obj.privkey = this.privkey.toString(); } if (this.pubkey) { obj.pubkey = this.pubkey.toString(); } if (this.sig) { obj.sig = this.sig.toString(); } if (this.k) { obj.k = this.k.toString(); } return JSON.stringify(obj); }; ECDSA.prototype.verify = function() { if (!this.sigError()) this.verified = true; else this.verified = false; return this; }; ECDSA.sign = function(hashbuf, privkey, endian) { return ECDSA().set({ hashbuf: hashbuf, endian: endian, privkey: privkey }).sign().sig; }; ECDSA.verify = function(hashbuf, sig, pubkey, endian) { return ECDSA().set({ hashbuf: hashbuf, endian: endian, sig: sig, pubkey: pubkey }).verify().verified; }; module.exports = ECDSA;