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helper.py
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helper.py
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from io import BytesIO
from unittest import TestCase, TestSuite, TextTestRunner
import hashlib
SIGHASH_ALL = 1
SIGHASH_NONE = 2
SIGHASH_SINGLE = 3
BASE58_ALPHABET = "123456789ABCDEFGHJKLMNPQRSTUVWXYZabcdefghijkmnopqrstuvwxyz"
TWO_WEEKS = 60 * 60 * 24 * 14
MAX_TARGET = 0xFFFF * 256 ** (0x1D - 3)
def run(test):
suite = TestSuite()
suite.addTest(test)
TextTestRunner().run(suite)
def bytes_to_str(b, encoding="ascii"):
"""Returns a string version of the bytes"""
# use the bytes.decode(encoding) method
return b.decode(encoding)
def str_to_bytes(s, encoding="ascii"):
"""Returns a bytes version of the string"""
# use the string.encode(encoding) method
return s.encode(encoding)
def little_endian_to_int(b):
"""little_endian_to_int takes byte sequence as a little-endian number.
Returns an integer"""
# use the int.from_bytes(b, <endianness>) method
return int.from_bytes(b, "little")
def int_to_little_endian(n, length):
"""endian_to_little_endian takes an integer and returns the little-endian
byte sequence of length"""
# use the int.to_bytes(length, <endianness>) method
return n.to_bytes(length, "little")
def hash160(s):
return hashlib.new("ripemd160", hashlib.sha256(s).digest()).digest()
def hash256(s):
return hashlib.sha256(hashlib.sha256(s).digest()).digest()
def encode_base58(s):
# determine how many 0 bytes (b'\x00') s starts with
count = 0
for c in s:
if c == 0:
count += 1
else:
break
# convert from binary to hex, then hex to integer
num = int(s.hex(), 16)
result = ""
prefix = "1" * count
while num > 0:
num, mod = divmod(num, 58)
result = BASE58_ALPHABET[mod] + result
return prefix + result
def encode_base58_checksum(raw):
"""Takes bytes and turns it into base58 encoding with checksum"""
# checksum is the first 4 bytes of the hash256
checksum = hash256(raw)[:4]
# encode_base58 on the raw and the checksum
return encode_base58(raw + checksum)
def decode_base58(s):
num = 0
for c in s:
num *= 58
num += BASE58_ALPHABET.index(c)
combined = num.to_bytes(25, byteorder="big")
checksum = combined[-4:]
if hash256(combined[:-4])[:4] != checksum:
raise RuntimeError(f"bad address: {checksum} {hash256(combined)[:4]}")
return combined[1:-4]
def read_varint(s):
"""read_varint reads a variable integer from a stream"""
i = s.read(1)[0]
if i == 0xFD:
# 0xfd means the next two bytes are the number
return little_endian_to_int(s.read(2))
elif i == 0xFE:
# 0xfe means the next four bytes are the number
return little_endian_to_int(s.read(4))
elif i == 0xFF:
# 0xff means the next eight bytes are the number
return little_endian_to_int(s.read(8))
else:
# anything else is just the integer
return i
def encode_varint(i):
"""encodes an integer as a varint"""
if i < 0xFD:
return bytes([i])
elif i < 0x10000:
return b"\xfd" + int_to_little_endian(i, 2)
elif i < 0x100000000:
return b"\xfe" + int_to_little_endian(i, 4)
elif i < 0x10000000000000000:
return b"\xff" + int_to_little_endian(i, 8)
else:
raise RuntimeError(f"integer too large: {i}")
def read_varstr(s):
item_length = read_varint(s)
return s.read(item_length)
def encode_varstr(b):
return encode_varint(len(b)) + b
def h160_to_p2pkh_address(h160, network="mainnet"):
"""Takes a byte sequence hash160 and returns a p2pkh address string"""
# p2pkh has a prefix of b'\x00' for mainnet, b'\x6f' for testnet/signet
if network in ("testnet", "signet"):
prefix = b"\x6f"
else:
prefix = b"\x00"
# return the encode_base58_checksum the prefix and h160
return encode_base58_checksum(prefix + h160)
def h160_to_p2sh_address(h160, network="mainnet"):
"""Takes a byte sequence hash160 and returns a p2sh address string"""
# p2sh has a prefix of b'\x05' for mainnet, b'\xc4' for testnet/signet
if network in ("testnet", "signet"):
prefix = b"\xc4"
else:
prefix = b"\x05"
# return the encode_base58_checksum the prefix and h160
return encode_base58_checksum(prefix + h160)
def merkle_parent(hash1, hash2):
"""Takes the binary hashes and calculates the hash256"""
# return the hash256 of hash1 + hash2
return hash256(hash1 + hash2)
def merkle_parent_level(hashes):
"""Takes a list of binary hashes and returns a list that's half
the length"""
# if the list has exactly 1 element raise an error
if len(hashes) == 1:
raise RuntimeError("Cannot take a parent level with only 1 item")
# if the list has an odd number of elements, duplicate the last one
# and put it at the end so it has an even number of elements
if len(hashes) % 2 == 1:
hashes.append(hashes[-1])
# initialize parent level
parent_level = []
# loop over every pair (use: for i in range(0, len(hashes), 2))
for i in range(0, len(hashes), 2):
# get the merkle parent of i and i+1 hashes
parent = merkle_parent(hashes[i], hashes[i + 1])
# append parent to parent level
parent_level.append(parent)
# return parent level
return parent_level
def merkle_root(hashes):
"""Takes a list of binary hashes and returns the merkle root"""
# current level starts as hashes
current_level = hashes
# loop until there's exactly 1 element
while len(current_level) > 1:
# current level becomes the merkle parent level
current_level = merkle_parent_level(current_level)
# return the 1st item of current_level
return current_level[0]
def bit_field_to_bytes(bit_field):
if len(bit_field) % 8 != 0:
raise RuntimeError("bit_field does not have a length that is divisible by 8")
result = bytearray(len(bit_field) // 8)
for i, bit in enumerate(bit_field):
byte_index, bit_index = divmod(i, 8)
if bit:
result[byte_index] |= 1 << bit_index
return bytes(result)
def bytes_to_bit_field(some_bytes):
flag_bits = []
# iterate over each byte of flags
for byte in some_bytes:
# iterate over each bit, right-to-left
for _ in range(8):
# add the current bit (byte & 1)
flag_bits.append(byte & 1)
# rightshift the byte 1
byte >>= 1
return flag_bits
def bits_to_target(bits):
"""Turns bits into a target (large 256-bit integer)"""
# last byte is exponent
exponent = bits[-1]
# the first three bytes are the coefficient in little endian
coefficient = little_endian_to_int(bits[:-1])
# the formula is:
# coefficient * 256**(exponent-3)
return coefficient * 256 ** (exponent - 3)
def target_to_bits(target):
"""Turns a target integer back into bits, which is 4 bytes"""
raw_bytes = target.to_bytes(32, "big")
# get rid of leading 0's
raw_bytes = raw_bytes.lstrip(b"\x00")
if raw_bytes[0] > 0x7F:
# if the first bit is 1, we have to start with 00
exponent = len(raw_bytes) + 1
coefficient = b"\x00" + raw_bytes[:2]
else:
# otherwise, we can show the first 3 bytes
# exponent is the number of digits in base-256
exponent = len(raw_bytes)
# coefficient is the first 3 digits of the base-256 number
coefficient = raw_bytes[:3]
# we've truncated the number after the first 3 digits of base-256
new_bits = coefficient[::-1] + bytes([exponent])
return new_bits
def calculate_new_bits(previous_bits, time_differential):
"""Calculates the new bits given
a 2016-block time differential and the previous bits"""
# if the time differential is greater than 8 weeks, set to 8 weeks
if time_differential > TWO_WEEKS * 4:
time_differential = TWO_WEEKS * 4
# if the time differential is less than half a week, set to half a week
if time_differential < TWO_WEEKS // 4:
time_differential = TWO_WEEKS // 4
# the new target is the previous target * time differential / two weeks
new_target = bits_to_target(previous_bits) * time_differential // TWO_WEEKS
# if the new target is bigger than MAX_TARGET, set to MAX_TARGET
if new_target > MAX_TARGET:
new_target = MAX_TARGET
# convert the new target to bits
return target_to_bits(new_target)
def filter_null(items):
non_null_items = []
for item in items:
if len(item) > 0:
non_null_items.append(item)
return non_null_items
def murmur3(data, seed=0):
"""from http://stackoverflow.com/questions/13305290/is-there-a-pure-python-implementation-of-murmurhash"""
c1 = 0xCC9E2D51
c2 = 0x1B873593
length = len(data)
h1 = seed
roundedEnd = length & 0xFFFFFFFC # round down to 4 byte block
for i in range(0, roundedEnd, 4):
# little endian load order
k1 = (
(data[i] & 0xFF)
| ((data[i + 1] & 0xFF) << 8)
| ((data[i + 2] & 0xFF) << 16)
| (data[i + 3] << 24)
)
k1 *= c1
k1 = (k1 << 15) | ((k1 & 0xFFFFFFFF) >> 17) # ROTL32(k1,15)
k1 *= c2
h1 ^= k1
h1 = (h1 << 13) | ((h1 & 0xFFFFFFFF) >> 19) # ROTL32(h1,13)
h1 = h1 * 5 + 0xE6546B64
# tail
k1 = 0
val = length & 0x03
if val == 3:
k1 = (data[roundedEnd + 2] & 0xFF) << 16
# fallthrough
if val in [2, 3]:
k1 |= (data[roundedEnd + 1] & 0xFF) << 8
# fallthrough
if val in [1, 2, 3]:
k1 |= data[roundedEnd] & 0xFF
k1 *= c1
k1 = (k1 << 15) | ((k1 & 0xFFFFFFFF) >> 17) # ROTL32(k1,15)
k1 *= c2
h1 ^= k1
# finalization
h1 ^= length
# fmix(h1)
h1 ^= (h1 & 0xFFFFFFFF) >> 16
h1 *= 0x85EBCA6B
h1 ^= (h1 & 0xFFFFFFFF) >> 13
h1 *= 0xC2B2AE35
h1 ^= (h1 & 0xFFFFFFFF) >> 16
return h1 & 0xFFFFFFFF
def target_to_bits(target):
"""Turns a target integer back into bits, which is 4 bytes"""
raw_bytes = target.to_bytes(32, "big")
# get rid of leading 0's
raw_bytes = raw_bytes.lstrip(b"\x00")
if raw_bytes[0] > 0x7F:
# if the first bit is 1, we have to start with 00
exponent = len(raw_bytes) + 1
coefficient = b"\x00" + raw_bytes[:2]
else:
# otherwise, we can show the first 3 bytes
# exponent is the number of digits in base-256
exponent = len(raw_bytes)
# coefficient is the first 3 digits of the base-256 number
coefficient = raw_bytes[:3]
# we've truncated the number after the first 3 digits of base-256
new_bits = coefficient[::-1] + bytes([exponent])
return new_bits
class HelperTest(TestCase):
def test_bytes(self):
b = b"hello world"
s = "hello world"
self.assertEqual(b, str_to_bytes(s))
self.assertEqual(s, bytes_to_str(b))
def test_little_endian_to_int(self):
h = bytes.fromhex("99c3980000000000")
want = 10011545
self.assertEqual(little_endian_to_int(h), want)
h = bytes.fromhex("a135ef0100000000")
want = 32454049
self.assertEqual(little_endian_to_int(h), want)
def test_int_to_little_endian(self):
n = 1
want = b"\x01\x00\x00\x00"
self.assertEqual(int_to_little_endian(n, 4), want)
n = 10011545
want = b"\x99\xc3\x98\x00\x00\x00\x00\x00"
self.assertEqual(int_to_little_endian(n, 8), want)
def test_base58(self):
addr = "mnrVtF8DWjMu839VW3rBfgYaAfKk8983Xf"
h160 = decode_base58(addr).hex()
want = "507b27411ccf7f16f10297de6cef3f291623eddf"
self.assertEqual(h160, want)
got = encode_base58_checksum(b"\x6f" + bytes.fromhex(h160))
self.assertEqual(got, addr)
def test_encode_base58_checksum(self):
raw = bytes.fromhex("005dedfbf9ea599dd4e3ca6a80b333c472fd0b3f69")
want = "19ZewH8Kk1PDbSNdJ97FP4EiCjTRaZMZQA"
self.assertEqual(encode_base58_checksum(raw), want)
def test_p2pkh_address(self):
h160 = bytes.fromhex("74d691da1574e6b3c192ecfb52cc8984ee7b6c56")
want = "1BenRpVUFK65JFWcQSuHnJKzc4M8ZP8Eqa"
self.assertEqual(h160_to_p2pkh_address(h160, network="mainnet"), want)
want = "mrAjisaT4LXL5MzE81sfcDYKU3wqWSvf9q"
self.assertEqual(h160_to_p2pkh_address(h160, network="signet"), want)
def test_p2sh_address(self):
h160 = bytes.fromhex("74d691da1574e6b3c192ecfb52cc8984ee7b6c56")
want = "3CLoMMyuoDQTPRD3XYZtCvgvkadrAdvdXh"
self.assertEqual(h160_to_p2sh_address(h160, network="mainnet"), want)
want = "2N3u1R6uwQfuobCqbCgBkpsgBxvr1tZpe7B"
self.assertEqual(h160_to_p2sh_address(h160, network="signet"), want)
def test_target_to_bits(self):
target = 0x13CE9000000000000000000000000000000000000000000
want = bytes.fromhex("e93c0118")
self.assertEqual(target_to_bits(target), want)
def test_merkle_parent(self):
tx_hash0 = bytes.fromhex(
"c117ea8ec828342f4dfb0ad6bd140e03a50720ece40169ee38bdc15d9eb64cf5"
)
tx_hash1 = bytes.fromhex(
"c131474164b412e3406696da1ee20ab0fc9bf41c8f05fa8ceea7a08d672d7cc5"
)
want = bytes.fromhex(
"8b30c5ba100f6f2e5ad1e2a742e5020491240f8eb514fe97c713c31718ad7ecd"
)
self.assertEqual(merkle_parent(tx_hash0, tx_hash1), want)
def test_merkle_parent_level(self):
hex_hashes = [
"c117ea8ec828342f4dfb0ad6bd140e03a50720ece40169ee38bdc15d9eb64cf5",
"c131474164b412e3406696da1ee20ab0fc9bf41c8f05fa8ceea7a08d672d7cc5",
"f391da6ecfeed1814efae39e7fcb3838ae0b02c02ae7d0a5848a66947c0727b0",
"3d238a92a94532b946c90e19c49351c763696cff3db400485b813aecb8a13181",
"10092f2633be5f3ce349bf9ddbde36caa3dd10dfa0ec8106bce23acbff637dae",
"7d37b3d54fa6a64869084bfd2e831309118b9e833610e6228adacdbd1b4ba161",
"8118a77e542892fe15ae3fc771a4abfd2f5d5d5997544c3487ac36b5c85170fc",
"dff6879848c2c9b62fe652720b8df5272093acfaa45a43cdb3696fe2466a3877",
"b825c0745f46ac58f7d3759e6dc535a1fec7820377f24d4c2c6ad2cc55c0cb59",
"95513952a04bd8992721e9b7e2937f1c04ba31e0469fbe615a78197f68f52b7c",
"2e6d722e5e4dbdf2447ddecc9f7dabb8e299bae921c99ad5b0184cd9eb8e5908",
]
tx_hashes = [bytes.fromhex(x) for x in hex_hashes]
want_hex_hashes = [
"8b30c5ba100f6f2e5ad1e2a742e5020491240f8eb514fe97c713c31718ad7ecd",
"7f4e6f9e224e20fda0ae4c44114237f97cd35aca38d83081c9bfd41feb907800",
"ade48f2bbb57318cc79f3a8678febaa827599c509dce5940602e54c7733332e7",
"68b3e2ab8182dfd646f13fdf01c335cf32476482d963f5cd94e934e6b3401069",
"43e7274e77fbe8e5a42a8fb58f7decdb04d521f319f332d88e6b06f8e6c09e27",
"1796cd3ca4fef00236e07b723d3ed88e1ac433acaaa21da64c4b33c946cf3d10",
]
want_tx_hashes = [bytes.fromhex(x) for x in want_hex_hashes]
self.assertEqual(merkle_parent_level(tx_hashes), want_tx_hashes)
def test_merkle_root(self):
hex_hashes = [
"c117ea8ec828342f4dfb0ad6bd140e03a50720ece40169ee38bdc15d9eb64cf5",
"c131474164b412e3406696da1ee20ab0fc9bf41c8f05fa8ceea7a08d672d7cc5",
"f391da6ecfeed1814efae39e7fcb3838ae0b02c02ae7d0a5848a66947c0727b0",
"3d238a92a94532b946c90e19c49351c763696cff3db400485b813aecb8a13181",
"10092f2633be5f3ce349bf9ddbde36caa3dd10dfa0ec8106bce23acbff637dae",
"7d37b3d54fa6a64869084bfd2e831309118b9e833610e6228adacdbd1b4ba161",
"8118a77e542892fe15ae3fc771a4abfd2f5d5d5997544c3487ac36b5c85170fc",
"dff6879848c2c9b62fe652720b8df5272093acfaa45a43cdb3696fe2466a3877",
"b825c0745f46ac58f7d3759e6dc535a1fec7820377f24d4c2c6ad2cc55c0cb59",
"95513952a04bd8992721e9b7e2937f1c04ba31e0469fbe615a78197f68f52b7c",
"2e6d722e5e4dbdf2447ddecc9f7dabb8e299bae921c99ad5b0184cd9eb8e5908",
"b13a750047bc0bdceb2473e5fe488c2596d7a7124b4e716fdd29b046ef99bbf0",
]
tx_hashes = [bytes.fromhex(x) for x in hex_hashes]
want_hex_hash = (
"acbcab8bcc1af95d8d563b77d24c3d19b18f1486383d75a5085c4e86c86beed6"
)
want_hash = bytes.fromhex(want_hex_hash)
self.assertEqual(merkle_root(tx_hashes), want_hash)
def test_bit_field_to_bytes(self):
bit_field = [
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
1,
0,
0,
1,
0,
1,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
1,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
]
want = "4000600a080000010940"
self.assertEqual(bit_field_to_bytes(bit_field).hex(), want)
self.assertEqual(bytes_to_bit_field(bytes.fromhex(want)), bit_field)