Generate keys and Addresses

monero/ed25519.py

@@ -0,0 +1,135 @@
+# The reference Ed25519 software is in the public domain.
+#     Source: https://ed25519.cr.yp.to/python/ed25519.py
+#
+# Parts Copyright (c) 2016 The MoneroPy Developers. Released under the BSD 3-Clause
+
+import hashlib
+import operator as _oper
+import sys as _sys
+
+# Set up byte handling for Python 2 or 3
+if _sys.version_info.major == 2:
+    int2byte = chr
+    range = xrange
+
+    def indexbytes(buf, i):
+        return ord(buf[i])
+
+    def intlist2bytes(l):
+        return b"".join(chr(c) for c in l)
+else:
+    indexbytes = _oper.getitem
+    intlist2bytes = bytes
+    int2byte = _oper.methodcaller("to_bytes", 1, "big")
+
+b = 256
+q = 2**255 - 19
+l = 2**252 + 27742317777372353535851937790883648493
+
+def H(m):
+    return hashlib.sha512(m).digest()
+
+def expmod(b, e, m):
+    if e == 0: return 1
+    t = expmod(b, e//2, m)**2 % m
+    if e & 1: t = (t*b) % m
+    return t
+
+def inv(x):
+  return expmod(x, q-2, q)
+
+d = -121665 * inv(121666)
+I = expmod(2, (q-1)//4, q)
+
+def xrecover(y):
+    xx = (y*y-1) * inv(d*y*y+1)
+    x = expmod(xx, (q+3)//8, q)
+    if (x*x - xx) % q != 0: x = (x*I) % q
+    if x % 2 != 0: x = q-x
+    return x
+
+By = 4 * inv(5)
+Bx = xrecover(By)
+B = [Bx%q, By%q]
+
+def edwards(P, Q):
+    x1 = P[0]
+    y1 = P[1]
+    x2 = Q[0]
+    y2 = Q[1]
+    x3 = (x1*y2+x2*y1) * inv(1+d*x1*x2*y1*y2)
+    y3 = (y1*y2+x1*x2) * inv(1-d*x1*x2*y1*y2)
+    return [x3%q, y3%q]
+
+def scalarmult(P, e):
+    if e == 0: return [0, 1]
+    Q = scalarmult(P, e//2)
+    Q = edwards(Q, Q)
+    if e & 1: Q = edwards(Q, P)
+    return Q
+
+def encodeint(y):
+    bits = [(y >> i) & 1 for i in range(b)]
+    return b''.join([int2byte(sum([bits[i*8 + j] << j for j in range(8)])) for i in range(b//8)])
+
+def encodepoint(P):
+    x = P[0]
+    y = P[1]
+    bits = [(y >> i) & 1 for i in range(b-1)] + [x & 1]
+    return b''.join([int2byte(sum([bits[i * 8 + j] << j for j in range(8)])) for i in range(b//8)])
+
+def bit(h, i):
+    return (indexbytes(h, i//8) >> (i%8)) & 1
+
+def publickey(sk):
+    h = H(sk)
+    a = 2**(b-2) + sum(2**i * bit(h, i) for i in range(3, b-2))
+    A = scalarmult(B, a)
+    return encodepoint(A)
+
+def Hint(m):
+    h = H(m)
+    return sum(2**i * bit(h, i) for i in range(2*b))
+
+def signature(m, sk, pk):
+    h = H(sk)
+    a = 2**(b-2) + sum(2**i * bit(h, i) for i in range(3, b-2))
+    r = Hint(intlist2bytes([indexbytes(h, j) for j in range(b//8, b//4)]) + m)
+    R = scalarmult(B, r)
+    S = (r + Hint(encodepoint(R)+pk+m) * a) % l
+    return encodepoint(R) + encodeint(S)
+
+def isoncurve(P):
+    x = P[0]
+    y = P[1]
+    return (-x*x + y*y - 1 - d*x*x*y*y) % q == 0
+
+def decodeint(s):
+    return sum(2**i * bit(s, i) for i in range(0, b))
+
+def decodepoint(s):
+    y = sum(2**i * bit(s, i) for i in range(0, b-1))
+    x = xrecover(y)
+    if x & 1 != bit(s, b-1): x = q - x
+    P = [x, y]
+    if not isoncurve(P): raise Exception("decoding point that is not on curve")
+    return P
+
+def checkvalid(s, m, pk):
+    if len(s) != b//4: raise Exception("signature length is wrong")
+    if len(pk) != b//8: raise Exception("public-key length is wrong")
+    R = decodepoint(s[0:b//8])
+    A = decodepoint(pk)
+    S = decodeint(s[b//8:b//4])
+    h = Hint(encodepoint(R) + pk + m)
+    if scalarmult(B, S) != edwards(R, scalarmult(A, h)):
+        raise Exception("signature does not pass verification")
+
+# This is from https://github.com/monero-project/mininero by Shen Noether with The Monero Project
+def scalarmultbase(e):
+    if e == 0: return [0, 1]
+    Q = scalarmult(B, e//2)
+    Q = edwards(Q, Q)
+    if e & 1: Q = edwards(Q, B)
+    return Q
+

monero/seed.py

@@ -31,8 +31,11 @@
 #     https://github.com/spesmilo/electrum/blob/master/lib/old_mnemonic.py ch:9a0aa9b4783ea03ea13c6d668e080e0cdf261c5b
 
 from monero import wordlists
-from binascii import crc32, hexlify
+from monero import ed25519
+from monero import base58
+from binascii import crc32, hexlify, unhexlify
 from os import urandom
+from sha3 import keccak_256
 
 class Seed(object):
     """Creates a seed object either from local system randomness or an imported phrase.
@@ -140,6 +143,39 @@ class Seed(object):
         assert is_match, "Not valid checksum"
         return is_match
 
+    def sc_reduce(self, input):
+        integer = ed25519.decodeint(unhexlify(input))
+        modulo = integer % ed25519.l
+        return hexlify(ed25519.encodeint(modulo))
+
+    def hex_seed(self):
+        return self.hex
+
+    def secret_spend_key(self):
+        return self.sc_reduce(self.hex)
+
+    def secret_view_key(self):
+        h = keccak_256()
+        h.update(unhexlify(self.secret_spend_key()))
+        return self.sc_reduce(h.hexdigest())
+
+    def public_spend_key(self):
+        keyInt = ed25519.decodeint(unhexlify(self.secret_spend_key()))
+        aG = ed25519.scalarmultbase(keyInt)
+        return hexlify(ed25519.encodepoint(aG))
+
+    def public_view_key(self):
+        keyInt = ed25519.decodeint(unhexlify(self.secret_view_key()))
+        aG = ed25519.scalarmultbase(keyInt)
+        return hexlify(ed25519.encodepoint(aG))
+
+    def public_address(self):
+        data = str.encode("12") + self.public_spend_key() + self.public_view_key()
+        h = keccak_256()
+        h.update(unhexlify(data))
+        checksum = str.encode(h.hexdigest())
+        return base58.encode(data + checksum[0:8])
+
 
 def get_checksum(phrase):
     """Given a mnemonic word string, return a string of the computed checksum.