# You should have received a copy of the GNU General Public License
# along with this program. If not, see <http://www.gnu.org/licenses/>.
-
-import hashlib, base64, ecdsa, re
+import hashlib
+import base64
+import re
+import sys
import hmac
-import aes
+
+
+try:
+ import ecdsa
+except ImportError:
+ sys.exit("Error: python-ecdsa does not seem to be installed. Try 'sudo pip install ecdsa'")
+
+try:
+ import aes
+except ImportError:
+ sys.exit("Error: AES does not seem to be installed. Try 'sudo pip install slowaes'")
+
+try:
+ import pbkdf2
+except ImportError:
+ sys.exit("Error: pbkdf2 does not seem to be installed. Try 'sudo pip install pbkdf2'")
+
+
+
from util import print_error
+
+
# AES encryption
EncodeAES = lambda secret, s: base64.b64encode(aes.encryptData(secret,s))
DecodeAES = lambda secret, e: aes.decryptData(secret, base64.b64decode(e))
+class MyVerifyingKey(ecdsa.VerifyingKey):
+ @classmethod
+ def from_signature(klass, sig, recid, h, curve):
+ """ See http://www.secg.org/download/aid-780/sec1-v2.pdf, chapter 4.1.6 """
+ from ecdsa import util, numbertheory
+ import msqr
+ curveFp = curve.curve
+ G = curve.generator
+ order = G.order()
+ # extract r,s from signature
+ r, s = util.sigdecode_string(sig, order)
+ # 1.1
+ x = r + (recid/2) * order
+ # 1.3
+ alpha = ( x * x * x + curveFp.a() * x + curveFp.b() ) % curveFp.p()
+ beta = msqr.modular_sqrt(alpha, curveFp.p())
+ y = beta if (beta - recid) % 2 == 0 else curveFp.p() - beta
+ # 1.4 the constructor checks that nR is at infinity
+ R = Point(curveFp, x, y, order)
+ # 1.5 compute e from message:
+ e = string_to_number(h)
+ minus_e = -e % order
+ # 1.6 compute Q = r^-1 (sR - eG)
+ inv_r = numbertheory.inverse_mod(r,order)
+ Q = inv_r * ( s * R + minus_e * G )
+ return klass.from_public_point( Q, curve )
+
+
class EC_KEY(object):
def __init__( self, k ):
secret = string_to_number(k)
@classmethod
def verify_message(self, address, signature, message):
- """ See http://www.secg.org/download/aid-780/sec1-v2.pdf for the math """
- from ecdsa import numbertheory, util
- import msqr
- curve = curve_secp256k1
- G = generator_secp256k1
- order = G.order()
- # extract r,s from signature
sig = base64.b64decode(signature)
if len(sig) != 65: raise Exception("Wrong encoding")
- r,s = util.sigdecode_string(sig[1:], order)
+
nV = ord(sig[0])
if nV < 27 or nV >= 35:
raise Exception("Bad encoding")
compressed = False
recid = nV - 27
- # 1.1
- x = r + (recid/2) * order
- # 1.3
- alpha = ( x * x * x + curve.a() * x + curve.b() ) % curve.p()
- beta = msqr.modular_sqrt(alpha, curve.p())
- y = beta if (beta - recid) % 2 == 0 else curve.p() - beta
- # 1.4 the constructor checks that nR is at infinity
- R = Point(curve, x, y, order)
- # 1.5 compute e from message:
h = Hash( msg_magic(message) )
- e = string_to_number(h)
- minus_e = -e % order
- # 1.6 compute Q = r^-1 (sR - eG)
- inv_r = numbertheory.inverse_mod(r,order)
- Q = inv_r * ( s * R + minus_e * G )
- public_key = ecdsa.VerifyingKey.from_public_point( Q, curve = SECP256k1 )
- # check that Q is the public key
+ public_key = MyVerifyingKey.from_signature( sig[1:], recid, h, curve = SECP256k1 )
+
+ # check public key
public_key.verify_digest( sig[1:], h, sigdecode = ecdsa.util.sigdecode_string)
+
# check that we get the original signing address
addr = public_key_to_bc_address( point_to_ser(public_key.pubkey.point, compressed) )
if address != addr:
-def test_bip32(seed, sequence):
- """
- run a test vector,
- see https://en.bitcoin.it/wiki/BIP_0032_TestVectors
- """
+import unittest
+class Test_bitcoin(unittest.TestCase):
- xprv, xpub = bip32_root(seed)
- print xpub
- print xprv
+ def test_crypto(self):
+ for message in ["Chancellor on brink of second bailout for banks", chr(255)*512]:
+ self.do_test_crypto(message)
- assert sequence[0:2] == "m/"
- path = 'm'
- sequence = sequence[2:]
- for n in sequence.split('/'):
- child_path = path + '/' + n
- if n[-1] != "'":
- xpub2 = bip32_public_derivation(xpub, path, child_path)
- xprv, xpub = bip32_private_derivation(xprv, path, child_path)
- if n[-1] != "'":
- assert xpub == xpub2
-
+ def do_test_crypto(self, message):
+ G = generator_secp256k1
+ _r = G.order()
+ pvk = ecdsa.util.randrange( pow(2,256) ) %_r
- path = child_path
- print path
- print xpub
- print xprv
+ Pub = pvk*G
+ pubkey_c = point_to_ser(Pub,True)
+ pubkey_u = point_to_ser(Pub,False)
+ addr_c = public_key_to_bc_address(pubkey_c)
+ addr_u = public_key_to_bc_address(pubkey_u)
- print "----"
+ #print "Private key ", '%064x'%pvk
+ eck = EC_KEY(number_to_string(pvk,_r))
-
+ #print "Compressed public key ", pubkey_c.encode('hex')
+ enc = EC_KEY.encrypt_message(message, pubkey_c)
+ dec = eck.decrypt_message(enc)
+ assert dec == message
+
+ #print "Uncompressed public key", pubkey_u.encode('hex')
+ enc2 = EC_KEY.encrypt_message(message, pubkey_u)
+ dec2 = eck.decrypt_message(enc)
+ assert dec2 == message
+
+ signature = eck.sign_message(message, True, addr_c)
+ #print signature
+ EC_KEY.verify_message(addr_c, signature, message)
-def test_crypto(message):
- G = generator_secp256k1
- _r = G.order()
- pvk = ecdsa.util.randrange( pow(2,256) ) %_r
- Pub = pvk*G
- pubkey_c = point_to_ser(Pub,True)
- pubkey_u = point_to_ser(Pub,False)
- addr_c = public_key_to_bc_address(pubkey_c)
- addr_u = public_key_to_bc_address(pubkey_u)
- print "Private key ", '%064x'%pvk
- eck = EC_KEY(number_to_string(pvk,_r))
+ def test_bip32(self):
+ # see https://en.bitcoin.it/wiki/BIP_0032_TestVectors
+ xpub, xprv = self.do_test_bip32("000102030405060708090a0b0c0d0e0f", "m/0'/1/2'/2/1000000000")
+ assert xpub == "xpub6H1LXWLaKsWFhvm6RVpEL9P4KfRZSW7abD2ttkWP3SSQvnyA8FSVqNTEcYFgJS2UaFcxupHiYkro49S8yGasTvXEYBVPamhGW6cFJodrTHy"
+ assert xprv == "xprvA41z7zogVVwxVSgdKUHDy1SKmdb533PjDz7J6N6mV6uS3ze1ai8FHa8kmHScGpWmj4WggLyQjgPie1rFSruoUihUZREPSL39UNdE3BBDu76"
- print "Compressed public key ", pubkey_c.encode('hex')
- enc = EC_KEY.encrypt_message(message, pubkey_c)
- dec = eck.decrypt_message(enc)
- assert dec == message
+ xpub, xprv = self.do_test_bip32("fffcf9f6f3f0edeae7e4e1dedbd8d5d2cfccc9c6c3c0bdbab7b4b1aeaba8a5a29f9c999693908d8a8784817e7b7875726f6c696663605d5a5754514e4b484542","m/0/2147483647'/1/2147483646'/2")
+ assert xpub == "xpub6FnCn6nSzZAw5Tw7cgR9bi15UV96gLZhjDstkXXxvCLsUXBGXPdSnLFbdpq8p9HmGsApME5hQTZ3emM2rnY5agb9rXpVGyy3bdW6EEgAtqt"
+ assert xprv == "xprvA2nrNbFZABcdryreWet9Ea4LvTJcGsqrMzxHx98MMrotbir7yrKCEXw7nadnHM8Dq38EGfSh6dqA9QWTyefMLEcBYJUuekgW4BYPJcr9E7j"
- print "Uncompressed public key", pubkey_u.encode('hex')
- enc2 = EC_KEY.encrypt_message(message, pubkey_u)
- dec2 = eck.decrypt_message(enc)
- assert dec2 == message
- signature = eck.sign_message(message, True, addr_c)
- print signature
- EC_KEY.verify_message(addr_c, signature, message)
+ def do_test_bip32(self, seed, sequence):
+ xprv, xpub = bip32_root(seed)
+ assert sequence[0:2] == "m/"
+ path = 'm'
+ sequence = sequence[2:]
+ for n in sequence.split('/'):
+ child_path = path + '/' + n
+ if n[-1] != "'":
+ xpub2 = bip32_public_derivation(xpub, path, child_path)
+ xprv, xpub = bip32_private_derivation(xprv, path, child_path)
+ if n[-1] != "'":
+ assert xpub == xpub2
+ path = child_path
+ return xpub, xprv
-if __name__ == '__main__':
- for message in ["Chancellor on brink of second bailout for banks", chr(255)*512]:
- test_crypto(message)
+ def test_aes(self):
+ s = u'\u66f4\u7a33\u5b9a\u7684\u4ea4\u6613\u5e73\u53f0'
+ self.do_test_aes(s, s)
- test_bip32("000102030405060708090a0b0c0d0e0f", "m/0'/1/2'/2/1000000000")
- test_bip32("fffcf9f6f3f0edeae7e4e1dedbd8d5d2cfccc9c6c3c0bdbab7b4b1aeaba8a5a29f9c999693908d8a8784817e7b7875726f6c696663605d5a5754514e4b484542","m/0/2147483647'/1/2147483646'/2")
+ def do_test_aes(self, s, p):
+ enc = pw_encode(s, p)
+ dec = pw_decode(enc, p)
+ assert dec == s
+if __name__ == "__main__":
+ unittest.main()