bitcoinjs-lib/test/ecdsa.js

var assert = require('assert')
var crypto = require('../src/crypto')
var ecdsa = require('../src/ecdsa')
var message = require('../src/message')
var networks = require('../src/networks')

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() {
    fixtures.valid.forEach(function(f) {
      it('determines k for \"' + f.message + '\"', function() {
        var d = BigInteger.fromHex(f.d)
        var h1 = crypto.sha256(f.message)

        var k = ecdsa.deterministicGenerateK(curve, h1, d)
        assert.equal(k.toHex(), f.k)
      })
    })
  })

  describe('recoverPubKey', function() {
    fixtures.valid.forEach(function(f) {
      it('recovers the pubKey for ' + f.d, function() {
        var d = BigInteger.fromHex(f.d)
        var Q = curve.params.G.multiply(d)
        var signature = {
          r: new BigInteger(f.signature.r),
          s: new BigInteger(f.signature.s)
        }
        var h1 = crypto.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.fromCompact(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.equal(QprimeHex, expectedHex)
        })
      })
    })

    fixtures.invalid.recoverPubKey.forEach(function(f) {
      it('throws on ' + f.description, function() {
        var e = BigInteger.fromHex(f.e)
        var signature = new ECSignature(new BigInteger(f.signature.r), new BigInteger(f.signature.s))

        assert.throws(function() {
          ecdsa.recoverPubKey(curve, e, signature, f.i)
        }, new RegExp(f.exception))
      })
    })
  })

  describe('sign', function() {
    fixtures.valid.forEach(function(f) {
      it('produces a deterministic signature for \"' + f.message + '\"', function() {
        var d = BigInteger.fromHex(f.d)
        var hash = crypto.sha256(f.message)
        var signature = ecdsa.sign(curve, hash, d)

        assert.equal(signature.r.toString(), f.signature.r)
        assert.equal(signature.s.toString(), f.signature.s)
      })
    })

    it('should sign with low S value', function() {
      var hash = crypto.sha256('Vires in numeris')
      var sig = ecdsa.sign(curve, hash, BigInteger.ONE)

      // See BIP62 for more information
      var N_OVER_TWO = curve.params.n.shiftRight(1)
      assert(sig.s.compareTo(N_OVER_TWO) <= 0)
    })
  })

  describe('verifyRaw', function() {
    fixtures.valid.forEach(function(f) {
      it('verifies a valid signature for \"' + f.message + '\"', function() {
        var d = BigInteger.fromHex(f.d)
        var e = BigInteger.fromBuffer(crypto.sha256(f.message))
        var signature = new ECSignature(
          new BigInteger(f.signature.r),
          new BigInteger(f.signature.s)
        )
        var Q = curve.params.G.multiply(d)

        assert(ecdsa.verifyRaw(curve, e, signature, Q))
      })
    })

    fixtures.invalid.verifyRaw.forEach(function(f) {
      it('fails to verify with ' + f.description, function() {
        var d = BigInteger.fromHex(f.d)
        var e = BigInteger.fromHex(f.e)
        var signature = new ECSignature(
          new BigInteger(f.signature.r),
          new BigInteger(f.signature.s)
        )
        var Q = curve.params.G.multiply(d)

        assert.equal(ecdsa.verifyRaw(curve, e, signature, Q), false)
      })
    })
  })
})