# 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))
return [_p-My,offset]
raise Exception('ECC_YfromX: No Y found')
-def private_header(msg,v):
- assert v<1, "Can't write version %d private header"%v
- r = ''
- if v==0:
- r += ('%08x'%len(msg)).decode('hex')
- r += sha256(msg)[:2]
- return ('%02x'%v).decode('hex') + ('%04x'%len(r)).decode('hex') + r
-
-def public_header(pubkey,v):
- assert v<1, "Can't write version %d public header"%v
- r = ''
- if v==0:
- r = sha256(pubkey)[:2]
- return '\x6a\x6a' + ('%02x'%v).decode('hex') + ('%04x'%len(r)).decode('hex') + r
-
def negative_point(P):
return Point( P.curve(), P.x(), -P.y(), P.order() )
_r = generator.order()
assert Aser[0] in ['\x02','\x03','\x04']
if Aser[0] == '\x04':
- return Point( curve, str_to_long(Aser[1:33]), str_to_long(Aser[33:]), _r )
+ return Point( curve, string_to_number(Aser[1:33]), string_to_number(Aser[33:]), _r )
Mx = string_to_number(Aser[1:])
return Point( curve, Mx, ECC_YfromX(Mx, curve, Aser[0]=='\x03')[0], _r )
+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:
raise Exception("Bad signature")
- # ecdsa encryption/decryption methods
- # credits: jackjack, https://github.com/jackjack-jj/jeeq
+ # ecies encryption/decryption methods; aes-256-cbc is used as the cipher; hmac-sha256 is used as the mac
@classmethod
def encrypt_message(self, message, pubkey):
- generator = generator_secp256k1
- curved = curve_secp256k1
- r = ''
- msg = private_header(message,0) + message
- msg = msg + ('\x00'*( 32-(len(msg)%32) ))
- msgs = chunks(msg,32)
-
- _r = generator.order()
- str_to_long = string_to_number
-
- P = generator
+
pk = ser_to_point(pubkey)
+ if not ecdsa.ecdsa.point_is_valid(generator_secp256k1, pk.x(), pk.y()):
+ raise Exception('invalid pubkey')
+
+ ephemeral_exponent = number_to_string(ecdsa.util.randrange(pow(2,256)), generator_secp256k1.order())
+ ephemeral = EC_KEY(ephemeral_exponent)
+
+ ecdh_key = (pk * ephemeral.privkey.secret_multiplier).x()
+ ecdh_key = ('%064x' % ecdh_key).decode('hex')
+ key = hashlib.sha512(ecdh_key).digest()
+ key_e, key_m = key[:32], key[32:]
+
+ iv_ciphertext = aes.encryptData(key_e, message)
- for i in range(len(msgs)):
- n = ecdsa.util.randrange( pow(2,256) )
- Mx = str_to_long(msgs[i])
- My, xoffset = ECC_YfromX(Mx, curved)
- M = Point( curved, Mx+xoffset, My, _r )
- T = P*n
- U = pk*n + M
- toadd = point_to_ser(T) + point_to_ser(U)
- toadd = chr(ord(toadd[0])-2 + 2*xoffset) + toadd[1:]
- r += toadd
+ ephemeral_pubkey = ephemeral.get_public_key(compressed=True).decode('hex')
+ encrypted = 'BIE1' + ephemeral_pubkey + iv_ciphertext
+ mac = hmac.new(key_m, encrypted, hashlib.sha256).digest()
- return base64.b64encode(public_header(pubkey,0) + r)
+ return base64.b64encode(encrypted + mac)
- def decrypt_message(self, enc):
- G = generator_secp256k1
- curved = curve_secp256k1
- pvk = self.secret
- pubkeys = [point_to_ser(G*pvk,True), point_to_ser(G*pvk,False)]
- enc = base64.b64decode(enc)
- str_to_long = string_to_number
-
- assert enc[:2]=='\x6a\x6a'
-
- phv = str_to_long(enc[2])
- assert phv==0, "Can't read version %d public header"%phv
- hs = str_to_long(enc[3:5])
- public_header=enc[5:5+hs]
- checksum_pubkey=public_header[:2]
- address=filter(lambda x:sha256(x)[:2]==checksum_pubkey, pubkeys)
- assert len(address)>0, 'Bad private key'
- address=address[0]
- enc=enc[5+hs:]
- r = ''
- for Tser,User in map(lambda x:[x[:33],x[33:]], chunks(enc,66)):
- ots = ord(Tser[0])
- xoffset = ots>>1
- Tser = chr(2+(ots&1))+Tser[1:]
- T = ser_to_point(Tser)
- U = ser_to_point(User)
- V = T*pvk
- Mcalc = U + negative_point(V)
- r += ('%064x'%(Mcalc.x()-xoffset)).decode('hex')
-
- pvhv = str_to_long(r[0])
- assert pvhv==0, "Can't read version %d private header"%pvhv
- phs = str_to_long(r[1:3])
- private_header = r[3:3+phs]
- size = str_to_long(private_header[:4])
- checksum = private_header[4:6]
- r = r[3+phs:]
-
- msg = r[:size]
- hashmsg = sha256(msg)[:2]
- checksumok = hashmsg==checksum
-
- return [msg, checksumok, address]
+ def decrypt_message(self, encrypted):
+
+ encrypted = base64.b64decode(encrypted)
+
+ if len(encrypted) < 85:
+ raise Exception('invalid ciphertext: length')
+
+ magic = encrypted[:4]
+ ephemeral_pubkey = encrypted[4:37]
+ iv_ciphertext = encrypted[37:-32]
+ mac = encrypted[-32:]
+
+ if magic != 'BIE1':
+ raise Exception('invalid ciphertext: invalid magic bytes')
+
+ try:
+ ephemeral_pubkey = ser_to_point(ephemeral_pubkey)
+ except AssertionError, e:
+ raise Exception('invalid ciphertext: invalid ephemeral pubkey')
+ if not ecdsa.ecdsa.point_is_valid(generator_secp256k1, ephemeral_pubkey.x(), ephemeral_pubkey.y()):
+ raise Exception('invalid ciphertext: invalid ephemeral pubkey')
+ ecdh_key = (ephemeral_pubkey * self.privkey.secret_multiplier).x()
+ ecdh_key = ('%064x' % ecdh_key).decode('hex')
+ key = hashlib.sha512(ecdh_key).digest()
+ key_e, key_m = key[:32], key[32:]
+ if mac != hmac.new(key_m, encrypted[:-32], hashlib.sha256).digest():
+ raise Exception('invalid ciphertext: invalid mac')
+ return aes.decryptData(key_e, iv_ciphertext)
###################################### BIP32 ##############################
-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 "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)
- print "----"
-
-def test_crypto():
+ 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"
- G = generator_secp256k1
- _r = G.order()
- pvk = ecdsa.util.randrange( pow(2,256) ) %_r
+ xpub, xprv = self.do_test_bip32("fffcf9f6f3f0edeae7e4e1dedbd8d5d2cfccc9c6c3c0bdbab7b4b1aeaba8a5a29f9c999693908d8a8784817e7b7875726f6c696663605d5a5754514e4b484542","m/0/2147483647'/1/2147483646'/2")
+ assert xpub == "xpub6FnCn6nSzZAw5Tw7cgR9bi15UV96gLZhjDstkXXxvCLsUXBGXPdSnLFbdpq8p9HmGsApME5hQTZ3emM2rnY5agb9rXpVGyy3bdW6EEgAtqt"
+ assert xprv == "xprvA2nrNbFZABcdryreWet9Ea4LvTJcGsqrMzxHx98MMrotbir7yrKCEXw7nadnHM8Dq38EGfSh6dqA9QWTyefMLEcBYJUuekgW4BYPJcr9E7j"
- 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
- print "Compressed public key ", pubkey_c.encode('hex')
- print "Uncompressed public key", pubkey_u.encode('hex')
+ 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
- message = "Chancellor on brink of second bailout for banks"
- enc = EC_KEY.encrypt_message(message,pubkey_c)
- eck = EC_KEY(number_to_string(pvk,_r))
- dec = eck.decrypt_message(enc)
- print "decrypted", dec
+ return xpub, xprv
- signature = eck.sign_message(message, True, addr_c)
- print signature
- EC_KEY.verify_message(addr_c, signature, message)
+ def test_aes(self):
+ s = u'\u66f4\u7a33\u5b9a\u7684\u4ea4\u6613\u5e73\u53f0'
+ self.do_test_aes(s, s)
-if __name__ == '__main__':
- #test_crypto()
- 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()