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nim-ethash/spec/ethash.py

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## Spec of Ethash, the Ethereum proof-of-work
##[Revision 23 (2017-08-03)](https://github.com/ethereum/wiki/wiki/Ethash)
## https://github.com/ethereum/wiki/wiki/Ethash
# ###############################################################################
# Appendix to the Python spec
import sha3, copy
# Assumes little endian bit ordering (same as Intel architectures)
def decode_int(s):
return int(s[::-1].encode('hex'), 16) if s else 0
def encode_int(s):
a = "%x" % s
return '' if s == 0 else ('0' * (len(a) % 2) + a).decode('hex')[::-1]
def zpad(s, length):
return s + '\x00' * max(0, length - len(s))
def serialize_hash(h):
return ''.join([zpad(encode_int(x), 4) for x in h])
def deserialize_hash(h):
return [decode_int(h[i:i+WORD_BYTES]) for i in range(0, len(h), WORD_BYTES)]
def hash_words(h, sz, x):
if isinstance(x, list):
x = serialize_hash(x)
y = h(x)
return deserialize_hash(y)
def serialize_cache(ds):
return ''.join([serialize_hash(h) for h in ds])
serialize_dataset = serialize_cache
# sha3 hash function, outputs 64 bytes
def sha3_512(x):
return hash_words(lambda v: sha3.sha3_512(v).digest(), 64, x)
def sha3_256(x):
return hash_words(lambda v: sha3.sha3_256(v).digest(), 32, x)
def xor(a, b):
return a ^ b
def isprime(x):
for i in range(2, int(x**0.5)):
if x % i == 0:
return False
return True
# ###############################################################################
# Definitions
WORD_BYTES = 4 # bytes in word
DATASET_BYTES_INIT = 2**30 # bytes in dataset at genesis
DATASET_BYTES_GROWTH = 2**23 # dataset growth per epoch
CACHE_BYTES_INIT = 2**24 # bytes in cache at genesis
CACHE_BYTES_GROWTH = 2**17 # cache growth per epoch
CACHE_MULTIPLIER=1024 # Size of the DAG relative to the cache
EPOCH_LENGTH = 30000 # blocks per epoch
MIX_BYTES = 128 # width of mix
HASH_BYTES = 64 # hash length in bytes
DATASET_PARENTS = 256 # number of parents of each dataset element
CACHE_ROUNDS = 3 # number of rounds in cache production
ACCESSES = 64 # number of accesses in hashimoto loop
# ###############################################################################
# Parameters
def get_cache_size(block_number):
sz = CACHE_BYTES_INIT + CACHE_BYTES_GROWTH * (block_number // EPOCH_LENGTH)
sz -= HASH_BYTES
while not isprime(sz / HASH_BYTES):
sz -= 2 * HASH_BYTES
return sz
def get_full_size(block_number):
sz = DATASET_BYTES_INIT + DATASET_BYTES_GROWTH * (block_number // EPOCH_LENGTH)
sz -= MIX_BYTES
while not isprime(sz / MIX_BYTES):
sz -= 2 * MIX_BYTES
return sz
# ###############################################################################
# Cache generation
def mkcache(cache_size, seed):
n = cache_size // HASH_BYTES
# Sequentially produce the initial dataset
o = [sha3_512(seed)]
for i in range(1, n):
o.append(sha3_512(o[-1]))
# Use a low-round version of randmemohash
for _ in range(CACHE_ROUNDS):
for i in range(n):
v = o[i][0] % n
o[i] = sha3_512(map(xor, o[(i-1+n) % n], o[v]))
return o
# ###############################################################################
# Data aggregation function
FNV_PRIME = 0x01000193
def fnv(v1, v2):
return ((v1 * FNV_PRIME) ^ v2) % 2**32
# ###############################################################################
# Full dataset calculation
def calc_dataset_item(cache, i):
n = len(cache)
r = HASH_BYTES // WORD_BYTES
# initialize the mix
mix = copy.copy(cache[i % n])
mix[0] ^= i
mix = sha3_512(mix)
# fnv it with a lot of random cache nodes based on i
for j in range(DATASET_PARENTS):
cache_index = fnv(i ^ j, mix[j % r])
mix = map(fnv, mix, cache[cache_index % n])
return sha3_512(mix)
def calc_dataset(full_size, cache):
return [calc_dataset_item(cache, i) for i in range(full_size // HASH_BYTES)]
# ###############################################################################
# Main loop
def hashimoto(header, nonce, full_size, dataset_lookup):
n = full_size / HASH_BYTES
w = MIX_BYTES // WORD_BYTES
mixhashes = MIX_BYTES / HASH_BYTES
# combine header+nonce into a 64 byte seed
s = sha3_512(header + nonce[::-1])
# start the mix with replicated s
mix = []
for _ in range(MIX_BYTES / HASH_BYTES):
mix.extend(s)
# mix in random dataset nodes
for i in range(ACCESSES):
p = fnv(i ^ s[0], mix[i % w]) % (n // mixhashes) * mixhashes
newdata = []
for j in range(MIX_BYTES / HASH_BYTES):
newdata.extend(dataset_lookup(p + j))
mix = map(fnv, mix, newdata)
# compress mix
cmix = []
for i in range(0, len(mix), 4):
cmix.append(fnv(fnv(fnv(mix[i], mix[i+1]), mix[i+2]), mix[i+3]))
return {
"mix digest": serialize_hash(cmix),
"result": serialize_hash(sha3_256(s+cmix))
}
def hashimoto_light(full_size, cache, header, nonce):
return hashimoto(header, nonce, full_size, lambda x: calc_dataset_item(cache, x))
def hashimoto_full(full_size, dataset, header, nonce):
return hashimoto(header, nonce, full_size, lambda x: dataset[x])
# ###############################################################################
# Mining
def mine(full_size, dataset, header, difficulty):
target = zpad(encode_int(2**256 // difficulty), 64)[::-1]
from random import randint
nonce = randint(0, 2**64)
while hashimoto_full(full_size, dataset, header, nonce) > target:
nonce = (nonce + 1) % 2**64
return nonce
# ###############################################################################
# Seed hash
def get_seedhash(block):
s = '\x00' * 32
for i in range(block.number // EPOCH_LENGTH):
s = serialize_hash(sha3_256(s))
return s
# ###############################################################################
# Data Sizes Look-up tables
def get_datasize(block_number):
return data_sizes[block_number // EPOCH_LENGTH]
def get_cachesize(block_number):
return cache_sizes[block_number // EPOCH_LENGTH]
data_sizes = [
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1115684224, 1124070016, 1132461952, 1140849536, 1149232768,
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1199568512, 1207958912, 1216345216, 1224732032, 1233124736,
1241513344, 1249902464, 1258290304, 1266673792, 1275067264,
1283453312, 1291844992, 1300234112, 1308619904, 1317010048,
1325397376, 1333787776, 1342176128, 1350561664, 1358954368,
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1535114624, 1543503488, 1551892096, 1560278656, 1568669056,
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3632265856, 3640646528, 3649043584, 3657430144, 3665821568,
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3758091136, 3766481536, 3774872704, 3783260032, 3791650432,
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3841981568, 3850370432, 3858755968, 3867147904, 3875536256,
3883920512, 3892313728, 3900702592, 3909087872, 3917478784,
3925868416, 3934256512, 3942645376, 3951032192, 3959422336,
3967809152, 3976200064, 3984588416, 3992974976, 4001363584,
4009751168, 4018141312, 4026530432, 4034911616, 4043308928,
4051695488, 4060084352, 4068472448, 4076862848, 4085249408,
4093640576, 4102028416, 4110413696, 4118805632, 4127194496,
4135583104, 4143971968, 4152360832, 4160746112, 4169135744,
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4219463552, 4227855488, 4236246656, 4244633728, 4253022848,
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4303349632, 4311743104, 4320130432, 4328521088, 4336909184,
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5142215296, 5150605184, 5158993024, 5167382144, 5175769472,
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5351929472, 5360319872, 5368706944, 5377096576, 5385484928,
5393871232, 5402263424, 5410650496, 5419040384, 5427426944,
5435816576, 5444205952, 5452594816, 5460981376, 5469367936,
5477760896, 5486148736, 5494536832, 5502925952, 5511315328,
5519703424, 5528089984, 5536481152, 5544869504, 5553256064,
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5603585408, 5611972736, 5620366208, 5628750464, 5637143936,
5645528192, 5653921408, 5662310272, 5670694784, 5679082624,
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279443776, 279576256, 279706048, 279838528, 279969728, 280099648,
280230976, 280361408, 280493632, 280622528, 280755392, 280887104,
281018176, 281147968, 281278912, 281411392, 281542592, 281673152,
281803712, 281935552, 282066496, 282197312, 282329024, 282458816,
282590272, 282720832, 282853184, 282983744, 283115072, 283246144,
283377344, 283508416, 283639744, 283770304, 283901504, 284032576,
284163136, 284294848, 284426176, 284556992, 284687296, 284819264,
284950208, 285081536]
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