Merge pull request #14 from jhoenicke/master

Added SLIP-0010 (bip-32 like derivation for different curves)

slip-0010/testvectors.py

+#!/usr/bin/env python2
+
+import binascii
+import hashlib
+import hmac
+import struct
+import ecdsa
+import ed25519
+from base58 import b58encode_check
+
+privdev = 0x80000000
+
+def int_to_string(x, pad):
+    result = ['\x00'] * pad
+    while x > 0:
+        pad -= 1
+        ordinal = x & 0xFF
+        result[pad] = (chr(ordinal))
+        x >>= 8
+    return ''.join(result)
+
+def string_to_int(s):
+    result = 0
+    for c in s:
+        if not isinstance(c, int):
+            c = ord(c)
+        result = (result << 8) + c
+    return result
+
+# mode 0 - compatible with BIP32 private derivation
+def seed2hdnode(seed, modifier, curve):
+    k = seed
+    while True:
+        h = hmac.new(modifier, seed, hashlib.sha512).digest()
+        key, chaincode = h[:32], h[32:]
+        a = string_to_int(key)
+        if (curve == 'ed25519'):
+            break
+        if (a < curve.order and a != 0):
+            break
+        seed = h
+        #print 'RETRY seed: ' + binascii.hexlify(seed)
+    return (key, chaincode)
+
+def fingerprint(publickey):
+    h = hashlib.new('ripemd160', hashlib.sha256(publickey).digest()).digest()
+    return h[:4]
+
+def b58xprv(parent_fingerprint, private_key, chain, depth, childnr):
+    raw = ('\x04\x88\xad\xe4' +
+              chr(depth) + parent_fingerprint + int_to_string(childnr, 4) +
+              chain + '\x00' + private_key)
+    return b58encode_check(raw)
+
+def b58xpub(parent_fingerprint, public_key, chain, depth, childnr):
+    raw = ('\x04\x88\xb2\x1e' +
+              chr(depth) + parent_fingerprint + int_to_string(childnr, 4) +
+              chain + public_key)
+    return b58encode_check(raw)
+
+def publickey(private_key, curve):
+    if curve == 'ed25519':
+        sk = ed25519.SigningKey(private_key)
+        return '\x00' + sk.get_verifying_key().to_bytes()
+    else:
+        Q = string_to_int(private_key) * curve.generator
+        xstr = int_to_string(Q.x(), 32)
+        parity = Q.y() & 1
+        return chr(2 + parity) + xstr
+
+def derive(parent_key, parent_chaincode, i, curve):
+    assert len(parent_key) == 32
+    assert len(parent_chaincode) == 32
+    k = parent_chaincode
+    if ((i & privdev) != 0):
+        key = '\x00' + parent_key
+    else:
+        key = publickey(parent_key, curve)
+    d = key + struct.pack('>L', i)
+    while True:
+        h = hmac.new(k, d, hashlib.sha512).digest()
+        key, chaincode = h[:32], h[32:]
+        if curve == 'ed25519':
+            break
+        #print 'I: ' + binascii.hexlify(h)
+        a = string_to_int(key)
+        key = (a + string_to_int(parent_key)) % curve.order
+        if (a < curve.order and key != 0):
+            key = int_to_string(key, 32)
+            break
+        d = '\x01' + h[32:] + struct.pack('>L', i)
+        #print 'a failed: ' + binascii.hexlify(h[:32])
+        #print 'RETRY: ' + binascii.hexlify(d)
+                        
+    return (key, chaincode)
+
+def get_curve_info(curvename):
+    if curvename == 'secp256k1':
+        return (ecdsa.curves.SECP256k1, 'Bitcoin seed') 
+    if curvename == 'nist256p1':
+        return (ecdsa.curves.NIST256p, 'Nist256p1 seed') 
+    if curvename == 'ed25519':
+        return ('ed25519', 'ed25519 seed')
+    raise BaseException('unsupported curve: '+curvename)
+
+def show_testvector(name, curvename, seedhex, derivationpath):
+    curve, seedmodifier = get_curve_info(curvename)
+    master_seed = binascii.unhexlify(seedhex)
+    k,c = seed2hdnode(master_seed, seedmodifier, curve)
+    p = publickey(k, curve)
+    fpr = '\x00\x00\x00\x00'
+    path = 'm'
+    print "### "+name+" for "+curvename
+    print "Seed (hex): " + seedhex
+    print '* Chain ' + path
+    print '    * fpr: ' + binascii.hexlify(fpr)
+    print '    * chain: ' + binascii.hexlify(c)
+    print '    * prv: ' + binascii.hexlify(k)
+    print '    * pub: ' + binascii.hexlify(p)
+    depth = 0
+    for i in derivationpath:
+        if curve == 'ed25519':
+            # no public derivation for ed25519
+            i = i | privdev
+        fpr = fingerprint(p)
+        depth = depth + 1
+        path = path + "/" + str(i & (privdev-1))
+        if ((i & privdev) != 0):
+            path = path + "<sub>H</sub>"
+        k,c = derive(k, c, i, curve)
+        p = publickey(k, curve) 
+        print '* Chain ' + path
+        print '    * fpr: ' + binascii.hexlify(fpr)
+        print '    * chain: ' + binascii.hexlify(c)
+        print '    * prv: ' + binascii.hexlify(k)
+        print '    * pub: ' + binascii.hexlify(p)
+        #print b58xprv(fpr, kc, cc, depth, i)
+        #print b58xpub(fpr, pc, cc, depth, i)
+    print
+
+def show_testvectors(name, curvenames, seedhex, derivationpath):
+    for curvename in curvenames:
+        show_testvector(name, curvename, seedhex, derivationpath)
+
+
+curvenames = ['secp256k1', 'nist256p1', 'ed25519'];
+        
+show_testvectors("Test vector 1", curvenames,
+                 '000102030405060708090a0b0c0d0e0f',
+                 [privdev + 0, 1, privdev + 2, 2, 1000000000])
+show_testvectors("Test vector 2", curvenames,
+                 'fffcf9f6f3f0edeae7e4e1dedbd8d5d2cfccc9c6c3c0bdbab7b4b1aeaba8a5a29f9c999693908d8a8784817e7b7875726f6c696663605d5a5754514e4b484542',
+                 [0, privdev + 2147483647, 1, privdev + 2147483646, 2])
+            
+show_testvectors("Test derivation retry", ['nist256p1'],
+                 '000102030405060708090a0b0c0d0e0f',
+                 [privdev + 28578, 33941])
+
+show_testvectors("Test seed retry", ['nist256p1'],
+                 'a7305bc8df8d0951f0cb224c0e95d7707cbdf2c6ce7e8d481fec69c7ff5e9446',
+                 [])
+