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| 1 | +#!/usr/bin/env python2 |
| 2 | + |
| 3 | +import binascii |
| 4 | +import hashlib |
| 5 | +import hmac |
| 6 | +import struct |
| 7 | + |
| 8 | + |
| 9 | +def int_to_string(x, pad): |
| 10 | + result = ['\x00'] * pad |
| 11 | + while x > 0: |
| 12 | + pad -= 1 |
| 13 | + ordinal = x & 0xFF |
| 14 | + result[pad] = (chr(ordinal)) |
| 15 | + x >>= 8 |
| 16 | + return ''.join(result) |
| 17 | + |
| 18 | +def string_to_int(s): |
| 19 | + result = 0 |
| 20 | + for c in s: |
| 21 | + if not isinstance(c, int): |
| 22 | + c = ord(c) |
| 23 | + result = (result << 8) + c |
| 24 | + return result |
| 25 | + |
| 26 | + |
| 27 | +# mode 0 - compatible with BIP32 private derivation |
| 28 | +def derive(parent_key, parent_chaincode, i): |
| 29 | + assert len(parent_key) == 32 |
| 30 | + assert len(parent_chaincode) == 32 |
| 31 | + secp256k1_n = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141 |
| 32 | + k = parent_chaincode |
| 33 | + d = '\x00' + parent_key + struct.pack('>L', i) |
| 34 | + h = hmac.new(k, d, hashlib.sha512).digest() |
| 35 | + key, chaincode = h[:32], h[32:] |
| 36 | + key = (string_to_int(key) + string_to_int(parent_key)) % secp256k1_n |
| 37 | + key = int_to_string(key, 32) |
| 38 | + return (key, chaincode) |
| 39 | + |
| 40 | +# mode 1 - universal |
| 41 | +def derive_universal(parent_key, parent_chaincode, i, n, curveid, data): |
| 42 | + assert len(parent_key) == 32 |
| 43 | + assert len(parent_chaincode) == 32 |
| 44 | + ctr = 0 |
| 45 | + while True: |
| 46 | + k = parent_chaincode |
| 47 | + d = '\x01' + parent_key + struct.pack('>L', i) + curveid + struct.pack('>L', ctr) + data |
| 48 | + h = hmac.new(k, d, hashlib.sha512).digest() |
| 49 | + key, chaincode = h[:32], h[32:] |
| 50 | + if string_to_int(key) >= n: |
| 51 | + ctr += 1 |
| 52 | + else: |
| 53 | + return (key, chaincode) |
| 54 | + |
| 55 | + |
| 56 | +master_key = binascii.unhexlify('e8f32e723decf4051aefac8e2c93c9c5b214313817cdb01a1494b917c8436b35') |
| 57 | +master_chaincode = binascii.unhexlify('873dff81c02f525623fd1fe5167eac3a55a049de3d314bb42ee227ffed37d508') |
| 58 | + |
| 59 | + |
| 60 | +k, c = derive(master_key, master_chaincode, 0x80000000 + 44) |
| 61 | +assert binascii.hexlify(k) == '8a8e34c835bceec0213d542623158811d5686d931d51efbf8e3ea8f62edc703f' |
| 62 | +assert binascii.hexlify(c) == '4681a20841656292a6f6fda184811ace2c5fa67de53c47eb9d0cc557bae2dea4' |
| 63 | +print 'ok' |
| 64 | + |
| 65 | + |
| 66 | +k, c = derive_universal(master_key, master_chaincode, 1337, n=(2**255 - 19), curveid='ed25519', data='https://www.example.com') |
| 67 | +assert binascii.hexlify(k) == '51e7ccf5c5fd11301926ccdf195f6c02b2696a2b9e5a95a930f7e527654b5d03' |
| 68 | +assert binascii.hexlify(c) == 'b45f2b67f218223833f5607d1a26b030e6a1ebc7fdd7b3bc9481e1d78ee2c728' |
| 69 | +print 'ok' |
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