/* global describe, it */ var assert = require('assert') var bcrypto = require('../src/crypto') var ecdsa = require('../src/ecdsa') var message = require('../src/message') var networks = require('../src/networks') var sinon = require('sinon') var BigInteger = require('bigi') var ECSignature = require('../src/ecsignature') var ecurve = require('ecurve') var curve = ecurve.getCurveByName('secp256k1') var fixtures = require('./fixtures/ecdsa.json') describe('ecdsa', function () { describe('deterministicGenerateK', function () { function checkSig () { return true } fixtures.valid.ecdsa.forEach(function (f) { it('for "' + f.message + '"', function () { var d = BigInteger.fromHex(f.d) var h1 = bcrypto.sha256(f.message) var k = ecdsa.deterministicGenerateK(curve, h1, d, checkSig) assert.strictEqual(k.toHex(), f.k) }) }) it('loops until an appropriate k value is found', sinon.test(function () { this.mock(BigInteger).expects('fromBuffer') .exactly(3) .onCall(0).returns(new BigInteger('0')) // < 1 .onCall(1).returns(curve.n) // > n-1 .onCall(2).returns(new BigInteger('42')) // valid var d = new BigInteger('1') var h1 = new Buffer(32) var k = ecdsa.deterministicGenerateK(curve, h1, d, checkSig) assert.strictEqual(k.toString(), '42') })) it('loops until a suitable signature is found', sinon.test(function () { this.mock(BigInteger).expects('fromBuffer') .exactly(4) .onCall(0).returns(new BigInteger('0')) // < 1 .onCall(1).returns(curve.n) // > n-1 .onCall(2).returns(new BigInteger('42')) // valid, but 'bad' signature .onCall(3).returns(new BigInteger('53')) // valid, good signature var checkSig = this.mock() checkSig.exactly(2) checkSig.onCall(0).returns(false) // bad signature checkSig.onCall(1).returns(true) // good signature var d = new BigInteger('1') var h1 = new Buffer(32) var k = ecdsa.deterministicGenerateK(curve, h1, d, checkSig) assert.strictEqual(k.toString(), '53') })) fixtures.valid.rfc6979.forEach(function (f) { it('produces the expected k values for ' + f.message + " if k wasn't suitable", function () { var d = BigInteger.fromHex(f.d) var h1 = bcrypto.sha256(f.message) var results = [] ecdsa.deterministicGenerateK(curve, h1, d, function (k) { results.push(k) return results.length === 16 }) assert.strictEqual(results[0].toHex(), f.k0) assert.strictEqual(results[1].toHex(), f.k1) assert.strictEqual(results[15].toHex(), f.k15) }) }) }) describe('recoverPubKey', function () { fixtures.valid.ecdsa.forEach(function (f) { it('recovers the pubKey for ' + f.d, function () { var d = BigInteger.fromHex(f.d) var Q = curve.G.multiply(d) var signature = ECSignature.fromDER(new Buffer(f.signature, 'hex')) var h1 = bcrypto.sha256(f.message) var e = BigInteger.fromBuffer(h1) var Qprime = ecdsa.recoverPubKey(curve, e, signature, f.i) assert(Qprime.equals(Q)) }) }) describe('with i ∈ {0,1,2,3}', function () { var hash = message.magicHash('1111', networks.bitcoin) var e = BigInteger.fromBuffer(hash) var signatureBuffer = new Buffer('INcvXVVEFyIfHLbDX+xoxlKFn3Wzj9g0UbhObXdMq+YMKC252o5RHFr0/cKdQe1WsBLUBi4morhgZ77obDJVuV0=', 'base64') var signature = ECSignature.parseCompact(signatureBuffer).signature var points = [ '03e3a8c44a8bf712f1fbacee274fb19c0239b1a9e877eff0075ea335f2be8ff380', '0279be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798', '03d49e765f0bc27525c51a1b98fb1c99dacd59abe85a203af90f758260550b56c5', '027eea09d46ac7fb6aa2e96f9c576677214ffdc238eb167734a9b39d1eb4c3d30d' ] points.forEach(function (expectedHex, i) { it('recovers an expected point for i of ' + i, function () { var Qprime = ecdsa.recoverPubKey(curve, e, signature, i) var QprimeHex = Qprime.getEncoded().toString('hex') assert.strictEqual(QprimeHex, expectedHex) }) }) }) fixtures.invalid.recoverPubKey.forEach(function (f) { it('throws on ' + f.description + ' (' + f.exception + ')', function () { var e = BigInteger.fromHex(f.e) var signature = new ECSignature(new BigInteger(f.signatureRaw.r, 16), new BigInteger(f.signatureRaw.s, 16)) assert.throws(function () { ecdsa.recoverPubKey(curve, e, signature, f.i) }, new RegExp(f.exception)) }) }) }) describe('sign', function () { fixtures.valid.ecdsa.forEach(function (f) { it('produces a deterministic signature for "' + f.message + '"', function () { var d = BigInteger.fromHex(f.d) var hash = bcrypto.sha256(f.message) var signature = ecdsa.sign(curve, hash, d).toDER() assert.strictEqual(signature.toString('hex'), f.signature) }) }) it('should sign with low S value', function () { var hash = bcrypto.sha256('Vires in numeris') var sig = ecdsa.sign(curve, hash, BigInteger.ONE) // See BIP62 for more information var N_OVER_TWO = curve.n.shiftRight(1) assert(sig.s.compareTo(N_OVER_TWO) <= 0) }) }) describe('verify', function () { fixtures.valid.ecdsa.forEach(function (f) { it('verifies a valid signature for "' + f.message + '"', function () { var d = BigInteger.fromHex(f.d) var H = bcrypto.sha256(f.message) var signature = ECSignature.fromDER(new Buffer(f.signature, 'hex')) var Q = curve.G.multiply(d) assert(ecdsa.verify(curve, H, signature, Q)) }) }) fixtures.invalid.verify.forEach(function (f) { it('fails to verify with ' + f.description, function () { var H = bcrypto.sha256(f.message) var d = BigInteger.fromHex(f.d) var signature if (f.signature) { signature = ECSignature.fromDER(new Buffer(f.signature, 'hex')) } else if (f.signatureRaw) { signature = new ECSignature(new BigInteger(f.signatureRaw.r, 16), new BigInteger(f.signatureRaw.s, 16)) } var Q = curve.G.multiply(d) assert.strictEqual(ecdsa.verify(curve, H, signature, Q), false) }) }) }) })