import hashlib, base64, ecdsa, re
-
+from util import print_error
def rev_hex(s):
return s.decode('hex')[::-1].encode('hex')
return rev_hex(s)
def var_int(i):
+ # https://en.bitcoin.it/wiki/Protocol_specification#Variable_length_integer
if i<0xfd:
return int_to_hex(i)
elif i<=0xffff:
else:
return "ff"+int_to_hex(i,8)
+def op_push(i):
+ if i<0x4c:
+ return int_to_hex(i)
+ elif i<0xff:
+ return '4c' + int_to_hex(i)
+ elif i<0xffff:
+ return '4d' + int_to_hex(i,2)
+ else:
+ return '4e' + int_to_hex(i,4)
+
+
Hash = lambda x: hashlib.sha256(hashlib.sha256(x).digest()).digest()
hash_encode = lambda x: x[::-1].encode('hex')
'%064x' % _r + \
'020101a144034200'
- return key.decode('hex') + i2o_ECPublicKey(pkey, compressed)
+ return key.decode('hex') + i2o_ECPublicKey(pkey.pubkey, compressed)
-def i2o_ECPublicKey(pkey, compressed=False):
+def i2o_ECPublicKey(pubkey, compressed=False):
# public keys are 65 bytes long (520 bits)
# 0x04 + 32-byte X-coordinate + 32-byte Y-coordinate
# 0x00 = point at infinity, 0x02 and 0x03 = compressed, 0x04 = uncompressed
# compressed keys: <sign> <x> where <sign> is 0x02 if y is even and 0x03 if y is odd
if compressed:
- if pkey.pubkey.point.y() & 1:
- key = '03' + '%064x' % pkey.pubkey.point.x()
+ if pubkey.point.y() & 1:
+ key = '03' + '%064x' % pubkey.point.x()
else:
- key = '02' + '%064x' % pkey.pubkey.point.x()
+ key = '02' + '%064x' % pubkey.point.x()
else:
key = '04' + \
- '%064x' % pkey.pubkey.point.x() + \
- '%064x' % pkey.pubkey.point.y()
+ '%064x' % pubkey.point.x() + \
+ '%064x' % pubkey.point.y()
return key.decode('hex')
############ functions from pywallet #####################
-
-addrtype = 0
def hash_160(public_key):
try:
h160 = hash_160(public_key)
return hash_160_to_bc_address(h160)
-def hash_160_to_bc_address(h160):
+def hash_160_to_bc_address(h160, addrtype = 0):
vh160 = chr(addrtype) + h160
h = Hash(vh160)
addr = vh160 + h[0:4]
def bc_address_to_hash_160(addr):
bytes = b58decode(addr, 25)
- return bytes[1:21]
+ return ord(bytes[0]), bytes[1:21]
def encode_point(pubkey, compressed=False):
order = generator_secp256k1.order()
def PrivKeyToSecret(privkey):
return privkey[9:9+32]
-def SecretToASecret(secret, compressed=False):
+def SecretToASecret(secret, compressed=False, addrtype=0):
vchIn = chr((addrtype+128)&255) + secret
if compressed: vchIn += '\01'
return EncodeBase58Check(vchIn)
-def ASecretToSecret(key):
+def ASecretToSecret(key, addrtype=0):
vch = DecodeBase58Check(key)
if vch and vch[0] == chr((addrtype+128)&255):
return vch[1:]
secret = int('0x' + b.encode('hex'), 16)
return EC_KEY(secret)
-def GetPubKey(pkey, compressed=False):
- return i2o_ECPublicKey(pkey, compressed)
+def GetPubKey(pubkey, compressed=False):
+ return i2o_ECPublicKey(pubkey, compressed)
def GetPrivKey(pkey, compressed=False):
return i2d_ECPrivateKey(pkey, compressed)
b = ASecretToSecret(sec)
return len(b) == 33
+
+def address_from_private_key(sec):
+ # rebuild public key from private key, compressed or uncompressed
+ pkey = regenerate_key(sec)
+ assert pkey
+
+ # figure out if private key is compressed
+ compressed = is_compressed(sec)
+
+ # rebuild private and public key from regenerated secret
+ private_key = GetPrivKey(pkey, compressed)
+ public_key = GetPubKey(pkey.pubkey, compressed)
+ address = public_key_to_bc_address(public_key)
+ return address
+
+
########### end pywallet functions #######################
# secp256k1, http://www.oid-info.com/get/1.3.132.0.10
oid_secp256k1 = (1,3,132,0,10)
SECP256k1 = ecdsa.curves.Curve("SECP256k1", curve_secp256k1, generator_secp256k1, oid_secp256k1 )
+from ecdsa.util import string_to_number, number_to_string
+
+def msg_magic(message):
+ return "\x18Bitcoin Signed Message:\n" + chr( len(message) ) + message
+
+
class EC_KEY(object):
def __init__( self, secret ):
self.pubkey = ecdsa.ecdsa.Public_key( generator_secp256k1, generator_secp256k1 * secret )
self.privkey = ecdsa.ecdsa.Private_key( self.pubkey, secret )
self.secret = secret
+
+ def sign_message(self, message, compressed, address):
+ private_key = ecdsa.SigningKey.from_secret_exponent( self.secret, curve = SECP256k1 )
+ public_key = private_key.get_verifying_key()
+ signature = private_key.sign_digest( Hash( msg_magic(message) ), sigencode = ecdsa.util.sigencode_string )
+ assert public_key.verify_digest( signature, Hash( msg_magic(message) ), sigdecode = ecdsa.util.sigdecode_string)
+ for i in range(4):
+ sig = base64.b64encode( chr(27 + i + (4 if compressed else 0)) + signature )
+ try:
+ self.verify_message( address, sig, message)
+ return sig
+ except:
+ continue
+ else:
+ raise BaseException("error: cannot sign message")
+
+ @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, ellipticcurve, 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 BaseException("Wrong encoding")
+ r,s = util.sigdecode_string(sig[1:], order)
+ nV = ord(sig[0])
+ if nV < 27 or nV >= 35:
+ raise BaseException("Bad encoding")
+ if nV >= 31:
+ compressed = True
+ nV -= 4
+ else:
+ 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 = ellipticcurve.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.verify_digest( sig[1:], h, sigdecode = ecdsa.util.sigdecode_string)
+ # check that we get the original signing address
+ addr = public_key_to_bc_address( encode_point(public_key, compressed) )
+ if address != addr:
+ raise BaseException("Bad signature")
+
+
+###################################### BIP32 ##############################
+
+random_seed = lambda n: "%032x"%ecdsa.util.randrange( pow(2,n) )
+
+
+
+def bip32_init(seed):
+ import hmac
+ I = hmac.new("Bitcoin seed", seed, hashlib.sha512).digest()
+
+ print "seed", seed.encode('hex')
+ master_secret = I[0:32]
+ master_chain = I[32:]
+
+ # public key
+ curve = SECP256k1
+ master_private_key = ecdsa.SigningKey.from_string( master_secret, curve = SECP256k1 )
+ master_public_key = master_private_key.get_verifying_key()
+ K = master_public_key.to_string()
+ K_compressed = GetPubKey(master_public_key.pubkey,True)
+ return master_secret, master_chain, K, K_compressed
+
+
+def CKD(k, c, n):
+ import hmac
+ from ecdsa.util import string_to_number, number_to_string
+ order = generator_secp256k1.order()
+ keypair = EC_KEY(string_to_number(k))
+ K = GetPubKey(keypair.pubkey,True)
+ I = hmac.new(c, K + rev_hex(int_to_hex(n,4)).decode('hex'), hashlib.sha512).digest()
+ k_n = number_to_string( (string_to_number(I[0:32]) * string_to_number(k)) % order , order )
+ c_n = I[32:]
+ return k_n, c_n
+
+
+def CKD_prime(K, c, n):
+ import hmac
+ from ecdsa.util import string_to_number, number_to_string
+ order = generator_secp256k1.order()
+
+ K_public_key = ecdsa.VerifyingKey.from_string( K, curve = SECP256k1 )
+ K_compressed = GetPubKey(K_public_key.pubkey,True)
+
+ I = hmac.new(c, K_compressed + rev_hex(int_to_hex(n,4)).decode('hex'), hashlib.sha512).digest()
+
+ #pubkey = ecdsa.ecdsa.Public_key( generator_secp256k1, string_to_number(I[0:32]) * K_public_key.pubkey.point )
+ public_key = ecdsa.VerifyingKey.from_public_point( string_to_number(I[0:32]) * K_public_key.pubkey.point, curve = SECP256k1 )
+ K_n = public_key.to_string()
+ K_n_compressed = GetPubKey(public_key.pubkey,True)
+ c_n = I[32:]
+
+ return K_n, K_n_compressed, c_n
+
+
+
+class DeterministicSequence:
+ """ Privatekey(type,n) = Master_private_key + H(n|S|type) """
+
+ def __init__(self, master_public_key):
+ self.master_public_key = master_public_key
+
+ @classmethod
+ def from_seed(klass, seed):
+ curve = SECP256k1
+ secexp = klass.stretch_key(seed)
+ master_private_key = ecdsa.SigningKey.from_secret_exponent( secexp, curve = SECP256k1 )
+ master_public_key = master_private_key.get_verifying_key().to_string().encode('hex')
+ self = klass(master_public_key)
+ return self
+ @classmethod
+ def stretch_key(self,seed):
+ oldseed = seed
+ for i in range(100000):
+ seed = hashlib.sha256(seed + oldseed).digest()
+ return string_to_number( seed )
-def filter(s):
- out = re.sub('( [^\n]*|)\n','',s)
- out = out.replace(' ','')
- out = out.replace('\n','')
- return out
-
-# https://en.bitcoin.it/wiki/Protocol_specification#Variable_length_integer
-def raw_tx( inputs, outputs, for_sig = None ):
- s = int_to_hex(1,4) + ' version\n'
- s += var_int( len(inputs) ) + ' number of inputs\n'
- for i in range(len(inputs)):
- _, _, p_hash, p_index, p_script, pubkey, sig = inputs[i]
- s += p_hash.decode('hex')[::-1].encode('hex') + ' prev hash\n'
- s += int_to_hex(p_index,4) + ' prev index\n'
- if for_sig is None:
- sig = sig + chr(1) # hashtype
- script = int_to_hex( len(sig)) + ' push %d bytes\n'%len(sig)
- script += sig.encode('hex') + ' sig\n'
- script += int_to_hex( len(pubkey)) + ' push %d bytes\n'%len(pubkey)
- script += pubkey.encode('hex') + ' pubkey\n'
- elif for_sig==i:
- script = p_script + ' scriptsig \n'
+ def get_sequence(self,n,for_change):
+ return string_to_number( Hash( "%d:%d:"%(n,for_change) + self.master_public_key.decode('hex') ) )
+
+ def get_pubkey(self, n, for_change):
+ curve = SECP256k1
+ z = self.get_sequence(n, for_change)
+ master_public_key = ecdsa.VerifyingKey.from_string( self.master_public_key.decode('hex'), curve = SECP256k1 )
+ pubkey_point = master_public_key.pubkey.point + z*curve.generator
+ public_key2 = ecdsa.VerifyingKey.from_public_point( pubkey_point, curve = SECP256k1 )
+ return '04' + public_key2.to_string().encode('hex')
+
+ def get_private_key(self, n, for_change, seed):
+ order = generator_secp256k1.order()
+ secexp = self.stretch_key(seed)
+ secexp = ( secexp + self.get_sequence(n,for_change) ) % order
+ pk = number_to_string( secexp, generator_secp256k1.order() )
+ compressed = False
+ return SecretToASecret( pk, compressed )
+
+ def check_seed(self, seed):
+ curve = SECP256k1
+ secexp = self.stretch_key(seed)
+ master_private_key = ecdsa.SigningKey.from_secret_exponent( secexp, curve = SECP256k1 )
+ master_public_key = master_private_key.get_verifying_key().to_string().encode('hex')
+ if master_public_key != self.master_public_key:
+ print_error('invalid password (mpk)')
+ raise BaseException('Invalid password')
+
+ return True
+
+################################## transactions
+
+
+
+
+
+
+
+
+class Transaction:
+
+ def __init__(self, raw):
+ self.raw = raw
+ self.deserialize()
+ self.inputs = self.d['inputs']
+ self.outputs = self.d['outputs']
+ self.outputs = map(lambda x: (x['address'],x['value']), self.outputs)
+
+ @classmethod
+ def from_io(klass, inputs, outputs):
+ raw = klass.serialize(inputs, outputs, for_sig = -1) # for_sig=-1 means do not sign
+ self = klass(raw)
+ self.is_complete = False
+ self.inputs = inputs
+ self.outputs = outputs
+ extras = []
+ for i in self.inputs:
+ e = { 'txid':i['tx_hash'], 'vout':i['index'],'scriptPubKey':i['raw_output_script'] }
+ extras.append(e)
+ self.input_info = extras
+ return self
+
+ def __str__(self):
+ return self.raw
+
+ @classmethod
+ def multisig_script(klass, public_keys, num=None):
+ n = len(public_keys)
+ if num is None: num = n
+ # supports only "2 of 2", and "2 of 3" transactions
+ assert num <= n and n in [2,3]
+
+ if num==2:
+ s = '52'
+ elif num == 3:
+ s = '53'
+ else:
+ raise
+
+ for k in public_keys:
+ s += var_int(len(k)/2)
+ s += k
+ if n==2:
+ s += '52'
+ elif n==3:
+ s += '53'
+ else:
+ raise
+ s += 'ae'
+
+ out = { "address": hash_160_to_bc_address(hash_160(s.decode('hex')), 5), "redeemScript":s }
+ return out
+
+ @classmethod
+ def serialize( klass, inputs, outputs, for_sig = None ):
+
+ s = int_to_hex(1,4) # version
+ s += var_int( len(inputs) ) # number of inputs
+ for i in range(len(inputs)):
+ txin = inputs[i]
+ s += txin['tx_hash'].decode('hex')[::-1].encode('hex') # prev hash
+ s += int_to_hex(txin['index'],4) # prev index
+
+ if for_sig is None:
+ pubkeysig = txin.get('pubkeysig')
+ if pubkeysig:
+ pubkey, sig = pubkeysig[0]
+ sig = sig + chr(1) # hashtype
+ script = op_push( len(sig))
+ script += sig.encode('hex')
+ script += op_push( len(pubkey))
+ script += pubkey.encode('hex')
+ else:
+ signatures = txin['signatures']
+ pubkeys = txin['pubkeys']
+ script = '00' # op_0
+ for sig in signatures:
+ sig = sig + '01'
+ script += op_push(len(sig)/2)
+ script += sig
+
+ redeem_script = klass.multisig_script(pubkeys,2).get('redeemScript')
+ script += op_push(len(redeem_script)/2)
+ script += redeem_script
+
+ elif for_sig==i:
+ if txin.get('redeemScript'):
+ script = txin['redeemScript'] # p2sh uses the inner script
+ else:
+ script = txin['raw_output_script'] # scriptsig
+ else:
+ script=''
+ s += var_int( len(script)/2 ) # script length
+ s += script
+ s += "ffffffff" # sequence
+
+ s += var_int( len(outputs) ) # number of outputs
+ for output in outputs:
+ addr, amount = output
+ s += int_to_hex( amount, 8) # amount
+ addrtype, hash_160 = bc_address_to_hash_160(addr)
+ if addrtype == 0:
+ script = '76a9' # op_dup, op_hash_160
+ script += '14' # push 0x14 bytes
+ script += hash_160.encode('hex')
+ script += '88ac' # op_equalverify, op_checksig
+ elif addrtype == 5:
+ script = 'a9' # op_hash_160
+ script += '14' # push 0x14 bytes
+ script += hash_160.encode('hex')
+ script += '87' # op_equal
+ else:
+ raise
+
+ s += var_int( len(script)/2 ) # script length
+ s += script # script
+ s += int_to_hex(0,4) # lock time
+ if for_sig is not None and for_sig != -1:
+ s += int_to_hex(1, 4) # hash type
+ return s
+
+
+ def for_sig(self,i):
+ return self.serialize(self.inputs, self.outputs, for_sig = i)
+
+
+ def hash(self):
+ return Hash(self.raw.decode('hex') )[::-1].encode('hex')
+
+ def sign(self, private_keys):
+ import deserialize
+
+ for i in range(len(self.inputs)):
+ txin = self.inputs[i]
+ tx_for_sig = self.serialize( self.inputs, self.outputs, for_sig = i )
+
+ if txin.get('redeemScript'):
+ # 1 parse the redeem script
+ num, redeem_pubkeys = deserialize.parse_redeemScript(txin.get('redeemScript'))
+ self.inputs[i]["pubkeys"] = redeem_pubkeys
+
+ # build list of public/private keys
+ keypairs = {}
+ for sec in private_keys.values():
+ compressed = is_compressed(sec)
+ pkey = regenerate_key(sec)
+ pubkey = GetPubKey(pkey.pubkey, compressed)
+ keypairs[ pubkey.encode('hex') ] = sec
+
+ # list of already existing signatures
+ signatures = txin.get("signatures",[])
+ print_error("signatures",signatures)
+
+ for pubkey in redeem_pubkeys:
+ public_key = ecdsa.VerifyingKey.from_string(pubkey[2:].decode('hex'), curve = SECP256k1)
+ for s in signatures:
+ try:
+ public_key.verify_digest( s.decode('hex')[:-1], Hash( tx_for_sig.decode('hex') ), sigdecode = ecdsa.util.sigdecode_der)
+ break
+ except ecdsa.keys.BadSignatureError:
+ continue
+ else:
+ # check if we have a key corresponding to the redeem script
+ if pubkey in keypairs.keys():
+ # add signature
+ sec = keypairs[pubkey]
+ compressed = is_compressed(sec)
+ pkey = regenerate_key(sec)
+ secexp = pkey.secret
+ private_key = ecdsa.SigningKey.from_secret_exponent( secexp, curve = SECP256k1 )
+ public_key = private_key.get_verifying_key()
+ sig = private_key.sign_digest( Hash( tx_for_sig.decode('hex') ), sigencode = ecdsa.util.sigencode_der )
+ assert public_key.verify_digest( sig, Hash( tx_for_sig.decode('hex') ), sigdecode = ecdsa.util.sigdecode_der)
+ signatures.append( sig.encode('hex') )
+
+ # for p2sh, pubkeysig is a tuple (may be incomplete)
+ self.inputs[i]["signatures"] = signatures
+ print_error("signatures",signatures)
+ self.is_complete = len(signatures) == num
+
+ else:
+ sec = private_keys[txin['address']]
+ compressed = is_compressed(sec)
+ pkey = regenerate_key(sec)
+ secexp = pkey.secret
+
+ private_key = ecdsa.SigningKey.from_secret_exponent( secexp, curve = SECP256k1 )
+ public_key = private_key.get_verifying_key()
+ pkey = EC_KEY(secexp)
+ pubkey = GetPubKey(pkey.pubkey, compressed)
+ sig = private_key.sign_digest( Hash( tx_for_sig.decode('hex') ), sigencode = ecdsa.util.sigencode_der )
+ assert public_key.verify_digest( sig, Hash( tx_for_sig.decode('hex') ), sigdecode = ecdsa.util.sigdecode_der)
+
+ self.inputs[i]["pubkeysig"] = [(pubkey, sig)]
+ self.is_complete = True
+
+ self.raw = self.serialize( self.inputs, self.outputs )
+
+
+ def deserialize(self):
+ import deserialize
+ vds = deserialize.BCDataStream()
+ vds.write(self.raw.decode('hex'))
+ self.d = deserialize.parse_Transaction(vds)
+ return self.d
+
+
+ def has_address(self, addr):
+ found = False
+ for txin in self.inputs:
+ if addr == txin.get('address'):
+ found = True
+ break
+ for txout in self.outputs:
+ if addr == txout[0]:
+ found = True
+ break
+ return found
+
+
+ def get_value(self, addresses, prevout_values):
+ # return the balance for that tx
+ is_send = False
+ is_pruned = False
+ v_in = v_out = v_out_mine = 0
+
+ for item in self.inputs:
+ addr = item.get('address')
+ if addr in addresses:
+ is_send = True
+ key = item['prevout_hash'] + ':%d'%item['prevout_n']
+ value = prevout_values.get( key )
+ if value is None:
+ is_pruned = True
+ else:
+ v_in += value
+ else:
+ is_pruned = True
+
+ for item in self.outputs:
+ addr, value = item
+ v_out += value
+ if addr in addresses:
+ v_out_mine += value
+
+ if not is_pruned:
+ # all inputs are mine:
+ fee = v_out - v_in
+ v = v_out_mine - v_in
else:
- script=''
- s += var_int( len(filter(script))/2 ) + ' script length \n'
- s += script
- s += "ffffffff" + ' sequence\n'
- s += var_int( len(outputs) ) + ' number of outputs\n'
- for output in outputs:
- addr, amount = output
- s += int_to_hex( amount, 8) + ' amount: %d\n'%amount
- script = '76a9' # op_dup, op_hash_160
- script += '14' # push 0x14 bytes
- script += bc_address_to_hash_160(addr).encode('hex')
- script += '88ac' # op_equalverify, op_checksig
- s += var_int( len(filter(script))/2 ) + ' script length \n'
- s += script + ' script \n'
- s += int_to_hex(0,4) # lock time
- if for_sig is not None: s += int_to_hex(1, 4) # hash type
- return s
+ # some inputs are mine:
+ fee = None
+ if is_send:
+ v = v_out_mine - v_out
+ else:
+ # no input is mine
+ v = v_out_mine
+
+ return is_send, v, fee
+
+
+
+def test_bip32():
+ seed = "ff000000000000000000000000000000".decode('hex')
+ master_secret, master_chain, master_public_key, master_public_key_compressed = bip32_init(seed)
+
+ print "secret key", master_secret.encode('hex')
+ print "chain code", master_chain.encode('hex')
+
+ key_id = hash_160(master_public_key_compressed)
+ print "keyid", key_id.encode('hex')
+ print "base58"
+ print "address", hash_160_to_bc_address(key_id)
+ print "secret key", SecretToASecret(master_secret, True)
+
+ print "-- m/0 --"
+ k0, c0 = CKD(master_secret, master_chain, 0)
+ print "secret", k0.encode('hex')
+ print "chain", c0.encode('hex')
+ print "secret key", SecretToASecret(k0, True)
+
+ K0, K0_compressed, c0 = CKD_prime(master_public_key, master_chain, 0)
+ print "address", hash_160_to_bc_address(hash_160(K0_compressed))
+
+ print "-- m/0/1 --"
+ K01, K01_compressed, c01 = CKD_prime(K0, c0, 1)
+ print "address", hash_160_to_bc_address(hash_160(K01_compressed))
+
+ print "-- m/0/1/3 --"
+ K013, K013_compressed, c013 = CKD_prime(K01, c01, 3)
+ print "address", hash_160_to_bc_address(hash_160(K013_compressed))
+
+ print "-- m/0/1/3/7 --"
+ K0137, K0137_compressed, c0137 = CKD_prime(K013, c013, 7)
+ print "address", hash_160_to_bc_address(hash_160(K0137_compressed))
+
+
+
+if __name__ == '__main__':
+ test_bip32()
git://git.novaco.in / electrum-nvc.git / blobdiff