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+# Copyright (c) 2020 Pieter Wuille
+# Distributed under the MIT software license, see the accompanying
+# file COPYING or http://www.opensource.org/licenses/mit-license.php.
+"""Native Python MuHash3072 implementation."""
+
+import hashlib
+import unittest
+
+from .util import modinv
+
+def rot32(v, bits):
+ """Rotate the 32-bit value v left by bits bits."""
+ bits %= 32 # Make sure the term below does not throw an exception
+ return ((v << bits) & 0xffffffff) | (v >> (32 - bits))
+
+def chacha20_doubleround(s):
+ """Apply a ChaCha20 double round to 16-element state array s.
+
+ See https://cr.yp.to/chacha/chacha-20080128.pdf and https://tools.ietf.org/html/rfc8439
+ """
+ QUARTER_ROUNDS = [(0, 4, 8, 12),
+ (1, 5, 9, 13),
+ (2, 6, 10, 14),
+ (3, 7, 11, 15),
+ (0, 5, 10, 15),
+ (1, 6, 11, 12),
+ (2, 7, 8, 13),
+ (3, 4, 9, 14)]
+
+ for a, b, c, d in QUARTER_ROUNDS:
+ s[a] = (s[a] + s[b]) & 0xffffffff
+ s[d] = rot32(s[d] ^ s[a], 16)
+ s[c] = (s[c] + s[d]) & 0xffffffff
+ s[b] = rot32(s[b] ^ s[c], 12)
+ s[a] = (s[a] + s[b]) & 0xffffffff
+ s[d] = rot32(s[d] ^ s[a], 8)
+ s[c] = (s[c] + s[d]) & 0xffffffff
+ s[b] = rot32(s[b] ^ s[c], 7)
+
+def chacha20_32_to_384(key32):
+ """Specialized ChaCha20 implementation with 32-byte key, 0 IV, 384-byte output."""
+ # See RFC 8439 section 2.3 for chacha20 parameters
+ CONSTANTS = [0x61707865, 0x3320646e, 0x79622d32, 0x6b206574]
+
+ key_bytes = [0]*8
+ for i in range(8):
+ key_bytes[i] = int.from_bytes(key32[(4 * i):(4 * (i+1))], 'little')
+
+ INITIALIZATION_VECTOR = [0] * 4
+ init = CONSTANTS + key_bytes + INITIALIZATION_VECTOR
+ out = bytearray()
+ for counter in range(6):
+ init[12] = counter
+ s = init.copy()
+ for _ in range(10):
+ chacha20_doubleround(s)
+ for i in range(16):
+ out.extend(((s[i] + init[i]) & 0xffffffff).to_bytes(4, 'little'))
+ return bytes(out)
+
+def data_to_num3072(data):
+ """Hash a 32-byte array data to a 3072-bit number using 6 Chacha20 operations."""
+ bytes384 = chacha20_32_to_384(data)
+ return int.from_bytes(bytes384, 'little')
+
+class MuHash3072:
+ """Class representing the MuHash3072 computation of a set.
+
+ See https://cseweb.ucsd.edu/~mihir/papers/inchash.pdf and https://lists.linuxfoundation.org/pipermail/bitcoin-dev/2017-May/014337.html
+ """
+
+ MODULUS = 2**3072 - 1103717
+
+ def __init__(self):
+ """Initialize for an empty set."""
+ self.numerator = 1
+ self.denominator = 1
+
+ def insert(self, data):
+ """Insert a byte array data in the set."""
+ self.numerator = (self.numerator * data_to_num3072(data)) % self.MODULUS
+
+ def remove(self, data):
+ """Remove a byte array from the set."""
+ self.denominator = (self.denominator * data_to_num3072(data)) % self.MODULUS
+
+ def digest(self):
+ """Extract the final hash. Does not modify this object."""
+ val = (self.numerator * modinv(self.denominator, self.MODULUS)) % self.MODULUS
+ bytes384 = val.to_bytes(384, 'little')
+ return hashlib.sha256(bytes384).digest()
+
+class TestFrameworkMuhash(unittest.TestCase):
+ def test_muhash(self):
+ muhash = MuHash3072()
+ muhash.insert([0]*32)
+ muhash.insert([1] + [0]*31)
+ muhash.remove([2] + [0]*31)
+ finalized = muhash.digest()
+ # This mirrors the result in the C++ MuHash3072 unit test
+ self.assertEqual(finalized[::-1].hex(), "a44e16d5e34d259b349af21c06e65d653915d2e208e4e03f389af750dc0bfdc3")
+
+ def test_chacha20(self):
+ def chacha_check(key, result):
+ self.assertEqual(chacha20_32_to_384(key)[:64].hex(), result)
+
+ # Test vectors from https://tools.ietf.org/html/draft-agl-tls-chacha20poly1305-04#section-7
+ # Since the nonce is hardcoded to 0 in our function we only use those vectors.
+ chacha_check([0]*32, "76b8e0ada0f13d90405d6ae55386bd28bdd219b8a08ded1aa836efcc8b770dc7da41597c5157488d7724e03fb8d84a376a43b8f41518a11cc387b669b2ee6586")
+ chacha_check([0]*31 + [1], "4540f05a9f1fb296d7736e7b208e3c96eb4fe1834688d2604f450952ed432d41bbe2a0b6ea7566d2a5d1e7e20d42af2c53d792b1c43fea817e9ad275ae546963")