ethash.py

import sha3, copy

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

# 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
    
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 = [
1073739904, 1082130304, 1090514816, 1098906752, 1107293056, 
1115684224, 1124070016, 1132461952, 1140849536, 1149232768, 
1157627776, 1166013824, 1174404736, 1182786944, 1191180416, 
1199568512, 1207958912, 1216345216, 1224732032, 1233124736, 
1241513344, 1249902464, 1258290304, 1266673792, 1275067264, 
1283453312, 1291844992, 1300234112, 1308619904, 1317010048, 
1325397376, 1333787776, 1342176128, 1350561664, 1358954368, 
1367339392, 1375731584, 1384118144, 1392507008, 1400897408, 
1409284736, 1417673344, 1426062464, 1434451072, 1442839168, 
1451229056, 1459615616, 1468006016, 1476394112, 1484782976, 
1493171584, 1501559168, 1509948032, 1518337664, 1526726528, 
1535114624, 1543503488, 1551892096, 1560278656, 1568669056, 
1577056384, 1585446272, 1593831296, 1602219392, 1610610304, 
1619000192, 1627386752, 1635773824, 1644164224, 1652555648, 
1660943488, 1669332608, 1677721216, 1686109312, 1694497664, 
1702886272, 1711274624, 1719661184, 1728047744, 1736434816, 
1744829056, 1753218944, 1761606272, 1769995904, 1778382464, 
1786772864, 1795157888, 1803550592, 1811937664, 1820327552, 
1828711552, 1837102976, 1845488768, 1853879936, 1862269312, 
1870656896, 1879048064, 1887431552, 1895825024, 1904212096, 
1912601216, 1920988544, 1929379456, 1937765504, 1946156672, 
1954543232, 1962932096, 1971321728, 1979707264, 1988093056, 
1996487552, 2004874624, 2013262208, 2021653888, 2030039936, 
2038430848, 2046819968, 2055208576, 2063596672, 2071981952, 
2080373632, 2088762752, 2097149056, 2105539712, 2113928576, 
2122315136, 2130700672, 2139092608, 2147483264, 2155872128, 
2164257664, 2172642176, 2181035392, 2189426048, 2197814912, 
2206203008, 2214587264, 2222979712, 2231367808, 2239758208, 
2248145024, 2256527744, 2264922752, 2273312128, 2281701248, 
2290086272, 2298476672, 2306867072, 2315251072, 2323639168, 
2332032128, 2340420224, 2348808064, 2357196416, 2365580416, 
2373966976, 2382363008, 2390748544, 2399139968, 2407530368, 
2415918976, 2424307328, 2432695424, 2441084288, 2449472384, 
2457861248, 2466247808, 2474637184, 2483026816, 2491414144, 
2499803776, 2508191872, 2516582272, 2524970368, 2533359232, 
2541743488, 2550134144, 2558525056, 2566913408, 2575301504, 
2583686528, 2592073856, 2600467328, 2608856192, 2617240448, 
2625631616, 2634022016, 2642407552, 2650796416, 2659188352, 
2667574912, 2675965312, 2684352896, 2692738688, 2701130624, 
2709518464, 2717907328, 2726293376, 2734685056, 2743073152, 
2751462016, 2759851648, 2768232832, 2776625536, 2785017728, 
2793401984, 2801794432, 2810182016, 2818571648, 2826959488, 
2835349376, 2843734144, 2852121472, 2860514432, 2868900992, 
2877286784, 2885676928, 2894069632, 2902451584, 2910843008, 
2919234688, 2927622784, 2936011648, 2944400768, 2952789376, 
2961177728, 2969565568, 2977951616, 2986338944, 2994731392, 
3003120256, 3011508352, 3019895936, 3028287104, 3036675968, 
3045063808, 3053452928, 3061837696, 3070228352, 3078615424, 
3087003776, 3095394944, 3103782272, 3112173184, 3120562048, 
3128944768, 3137339264, 3145725056, 3154109312, 3162505088, 
3170893184, 3179280256, 3187669376, 3196056704, 3204445568, 
3212836736, 3221224064, 3229612928, 3238002304, 3246391168, 
3254778496, 3263165824, 3271556224, 3279944576, 3288332416, 
3296719232, 3305110912, 3313500032, 3321887104, 3330273152, 
3338658944, 3347053184, 3355440512, 3363827072, 3372220288, 
3380608384, 3388997504, 3397384576, 3405774208, 3414163072, 
3422551936, 3430937984, 3439328384, 3447714176, 3456104576, 
3464493952, 3472883584, 3481268864, 3489655168, 3498048896, 
3506434432, 3514826368, 3523213952, 3531603584, 3539987072, 
3548380288, 3556763264, 3565157248, 3573545344, 3581934464, 
3590324096, 3598712704, 3607098752, 3615488384, 3623877248, 
3632265856, 3640646528, 3649043584, 3657430144, 3665821568, 
3674207872, 3682597504, 3690984832, 3699367808, 3707764352, 
3716152448, 3724541056, 3732925568, 3741318016, 3749706368, 
3758091136, 3766481536, 3774872704, 3783260032, 3791650432, 
3800036224, 3808427648, 3816815488, 3825204608, 3833592704, 
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, 
4177525888, 4185912704, 4194303616, 4202691968, 4211076736, 
4219463552, 4227855488, 4236246656, 4244633728, 4253022848, 
4261412224, 4269799808, 4278184832, 4286578048, 4294962304, 
4303349632, 4311743104, 4320130432, 4328521088, 4336909184, 
4345295488, 4353687424, 4362073472, 4370458496, 4378852736, 
4387238528, 4395630208, 4404019072, 4412407424, 4420790656, 
4429182848, 4437571456, 4445962112, 4454344064, 4462738048, 
4471119232, 4479516544, 4487904128, 4496289664, 4504682368, 
4513068416, 4521459584, 4529846144, 4538232704, 4546619776, 
4555010176, 4563402112, 4571790208, 4580174464, 4588567936, 
4596957056, 4605344896, 4613734016, 4622119808, 4630511488, 
4638898816, 4647287936, 4655675264, 4664065664, 4672451968, 
4680842624, 4689231488, 4697620352, 4706007424, 4714397056, 
4722786176, 4731173248, 4739562368, 4747951744, 4756340608, 
4764727936, 4773114496, 4781504384, 4789894784, 4798283648, 
4806667648, 4815059584, 4823449472, 4831835776, 4840226176, 
4848612224, 4857003392, 4865391488, 4873780096, 4882169728, 
4890557312, 4898946944, 4907333248, 4915722368, 4924110976, 
4932499328, 4940889728, 4949276032, 4957666432, 4966054784, 
4974438016, 4982831488, 4991221376, 4999607168, 5007998848, 
5016386432, 5024763776, 5033164672, 5041544576, 5049941888, 
5058329728, 5066717056, 5075107456, 5083494272, 5091883904, 
5100273536, 5108662144, 5117048192, 5125436032, 5133827456, 
5142215296, 5150605184, 5158993024, 5167382144, 5175769472, 
5184157568, 5192543872, 5200936064, 5209324928, 5217711232, 
5226102656, 5234490496, 5242877312, 5251263872, 5259654016, 
5268040832, 5276434304, 5284819328, 5293209728, 5301598592, 
5309986688, 5318374784, 5326764416, 5335151488, 5343542144, 
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, 
5561645696, 5570032768, 5578423936, 5586811264, 5595193216, 
5603585408, 5611972736, 5620366208, 5628750464, 5637143936, 
5645528192, 5653921408, 5662310272, 5670694784, 5679082624, 
5687474048, 5695864448, 5704251008, 5712641408, 5721030272, 
5729416832, 5737806208, 5746194304, 5754583936, 5762969984, 
5771358592, 5779748224, 5788137856, 5796527488, 5804911232, 
5813300608, 5821692544, 5830082176, 5838468992, 5846855552, 
5855247488, 5863636096, 5872024448, 5880411008, 5888799872, 
5897186432, 5905576832, 5913966976, 5922352768, 5930744704, 
5939132288, 5947522432, 5955911296, 5964299392, 5972688256, 
5981074304, 5989465472, 5997851008, 6006241408, 6014627968, 
6023015552, 6031408256, 6039796096, 6048185216, 6056574848, 
6064963456, 6073351808, 6081736064, 6090128768, 6098517632, 
6106906496, 6115289216, 6123680896, 6132070016, 6140459648, 
6148849024, 6157237376, 6165624704, 6174009728, 6182403712, 
6190792064, 6199176064, 6207569792, 6215952256, 6224345216, 
6232732544, 6241124224, 6249510272, 6257899136, 6266287744, 
6274676864, 6283065728, 6291454336, 6299843456, 6308232064, 
6316620928, 6325006208, 6333395584, 6341784704, 6350174848, 
6358562176, 6366951296, 6375337856, 6383729536, 6392119168, 
6400504192, 6408895616, 6417283456, 6425673344, 6434059136, 
6442444672, 6450837376, 6459223424, 6467613056, 6476004224, 
6484393088, 6492781952, 6501170048, 6509555072, 6517947008, 
6526336384, 6534725504, 6543112832, 6551500672, 6559888768, 
6568278656, 6576662912, 6585055616, 6593443456, 6601834112, 
6610219648, 6618610304, 6626999168, 6635385472, 6643777408, 
6652164224, 6660552832, 6668941952, 6677330048, 6685719424, 
6694107776, 6702493568, 6710882176, 6719274112, 6727662976, 
6736052096, 6744437632, 6752825984, 6761213824, 6769604224, 
6777993856, 6786383488, 6794770816, 6803158144, 6811549312, 
6819937664, 6828326528, 6836706176, 6845101696, 6853491328, 
6861880448, 6870269312, 6878655104, 6887046272, 6895433344, 
6903822208, 6912212864, 6920596864, 6928988288, 6937377152, 
6945764992, 6954149248, 6962544256, 6970928768, 6979317376, 
6987709312, 6996093824, 7004487296, 7012875392, 7021258624, 
7029652352, 7038038912, 7046427776, 7054818944, 7063207808, 
7071595136, 7079980928, 7088372608, 7096759424, 7105149824, 
7113536896, 7121928064, 7130315392, 7138699648, 7147092352, 
7155479168, 7163865728, 7172249984, 7180648064, 7189036672, 
7197424768, 7205810816, 7214196608, 7222589824, 7230975104, 
7239367552, 7247755904, 7256145536, 7264533376, 7272921472, 
7281308032, 7289694848, 7298088832, 7306471808, 7314864512, 
7323253888, 7331643008, 7340029568, 7348419712, 7356808832, 
7365196672, 7373585792, 7381973888, 7390362752, 7398750592, 
7407138944, 7415528576, 7423915648, 7432302208, 7440690304, 
7449080192, 7457472128, 7465860992, 7474249088, 7482635648, 
7491023744, 7499412608, 7507803008, 7516192384, 7524579968, 
7532967296, 7541358464, 7549745792, 7558134656, 7566524032, 
7574912896, 7583300992, 7591690112, 7600075136, 7608466816, 
7616854912, 7625244544, 7633629824, 7642020992, 7650410368, 
7658794112, 7667187328, 7675574912, 7683961984, 7692349568, 
7700739712, 7709130368, 7717519232, 7725905536, 7734295424, 
7742683264, 7751069056, 7759457408, 7767849088, 7776238208, 
7784626816, 7793014912, 7801405312, 7809792128, 7818179968, 
7826571136, 7834957184, 7843347328, 7851732352, 7860124544, 
7868512384, 7876902016, 7885287808, 7893679744, 7902067072, 
7910455936, 7918844288, 7927230848, 7935622784, 7944009344, 
7952400256, 7960786048, 7969176704, 7977565312, 7985953408, 
7994339968, 8002730368, 8011119488, 8019508096, 8027896192, 
8036285056, 8044674688, 8053062272, 8061448832, 8069838464, 
8078227328, 8086616704, 8095006592, 8103393664, 8111783552, 
8120171392, 8128560256, 8136949376, 8145336704, 8153726848, 
8162114944, 8170503296, 8178891904, 8187280768, 8195669632, 
8204058496, 8212444544, 8220834176, 8229222272, 8237612672, 
8246000768, 8254389376, 8262775168, 8271167104, 8279553664, 
8287944064, 8296333184, 8304715136, 8313108352, 8321497984, 
8329885568, 8338274432, 8346663296, 8355052928, 8363441536, 
8371828352, 8380217984, 8388606592, 8396996224, 8405384576, 
8413772672, 8422161536, 8430549376, 8438939008, 8447326592, 
8455715456, 8464104832, 8472492928, 8480882048, 8489270656, 
8497659776, 8506045312, 8514434944, 8522823808, 8531208832, 
8539602304, 8547990656, 8556378752, 8564768384, 8573154176, 
8581542784, 8589933952, 8598322816, 8606705024, 8615099264, 
8623487872, 8631876992, 8640264064, 8648653952, 8657040256, 
8665430656, 8673820544, 8682209152, 8690592128, 8698977152, 
8707374464, 8715763328, 8724151424, 8732540032, 8740928384, 
8749315712, 8757704576, 8766089344, 8774480768, 8782871936, 
8791260032, 8799645824, 8808034432, 8816426368, 8824812928, 
8833199488, 8841591424, 8849976448, 8858366336, 8866757248, 
8875147136, 8883532928, 8891923328, 8900306816, 8908700288, 
8917088384, 8925478784, 8933867392, 8942250368, 8950644608, 
8959032704, 8967420544, 8975809664, 8984197504, 8992584064, 
9000976256, 9009362048, 9017752448, 9026141312, 9034530688, 
9042917504, 9051307904, 9059694208, 9068084864, 9076471424, 
9084861824, 9093250688, 9101638528, 9110027648, 9118416512, 
9126803584, 9135188096, 9143581312, 9151969664, 9160356224, 
9168747136, 9177134464, 9185525632, 9193910144, 9202302848, 
9210690688, 9219079552, 9227465344, 9235854464, 9244244864, 
9252633472, 9261021824, 9269411456, 9277799296, 9286188928, 
9294574208, 9302965888, 9311351936, 9319740032, 9328131968, 
9336516736, 9344907392, 9353296768, 9361685888, 9370074752, 
9378463616, 9386849408, 9395239808, 9403629184, 9412016512, 
9420405376, 9428795008, 9437181568, 9445570688, 9453960832, 
9462346624, 9470738048, 9479121536, 9487515008, 9495903616, 
9504289664, 9512678528, 9521067904, 9529456256, 9537843584, 
9546233728, 9554621312, 9563011456, 9571398784, 9579788672, 
9588178304, 9596567168, 9604954496, 9613343104, 9621732992, 
9630121856, 9638508416, 9646898816, 9655283584, 9663675776, 
9672061312, 9680449664, 9688840064, 9697230464, 9705617536, 
9714003584, 9722393984, 9730772608, 9739172224, 9747561088, 
9755945344, 9764338816, 9772726144, 9781116544, 9789503872, 
9797892992, 9806282624, 9814670464, 9823056512, 9831439232, 
9839833984, 9848224384, 9856613504, 9865000576, 9873391232, 
9881772416, 9890162816, 9898556288, 9906940544, 9915333248, 
9923721088, 9932108672, 9940496512, 9948888448, 9957276544, 
9965666176, 9974048384, 9982441088, 9990830464, 9999219584, 
10007602816, 10015996544, 10024385152, 10032774016, 10041163648, 
10049548928, 10057940096, 10066329472, 10074717824, 10083105152, 
10091495296, 10099878784, 10108272256, 10116660608, 10125049216, 
10133437312, 10141825664, 10150213504, 10158601088, 10166991232, 
10175378816, 10183766144, 10192157312, 10200545408, 10208935552, 
10217322112, 10225712768, 10234099328, 10242489472, 10250876032, 
10259264896, 10267656064, 10276042624, 10284429184, 10292820352, 
10301209472, 10309598848, 10317987712, 10326375296, 10334763392, 
10343153536, 10351541632, 10359930752, 10368318592, 10376707456, 
10385096576, 10393484672, 10401867136, 10410262144, 10418647424, 
10427039104, 10435425664, 10443810176, 10452203648, 10460589952, 
10468982144, 10477369472, 10485759104, 10494147712, 10502533504, 
10510923392, 10519313536, 10527702656, 10536091264, 10544478592, 
10552867712, 10561255808, 10569642368, 10578032768, 10586423168, 
10594805632, 10603200128, 10611588992, 10619976064, 10628361344, 
10636754048, 10645143424, 10653531776, 10661920384, 10670307968, 
10678696832, 10687086464, 10695475072, 10703863168, 10712246144, 
10720639616, 10729026688, 10737414784, 10745806208, 10754190976, 
10762581376, 10770971264, 10779356288, 10787747456, 10796135552, 
10804525184, 10812915584, 10821301888, 10829692288, 10838078336, 
10846469248, 10854858368, 10863247232, 10871631488, 10880023424, 
10888412032, 10896799616, 10905188992, 10913574016, 10921964672, 
10930352768, 10938742912, 10947132544, 10955518592, 10963909504, 
10972298368, 10980687488, 10989074816, 10997462912, 11005851776, 
11014241152, 11022627712, 11031017344, 11039403904, 11047793024, 
11056184704, 11064570752, 11072960896, 11081343872, 11089737856, 
11098128256, 11106514816, 11114904448, 11123293568, 11131680128, 
11140065152, 11148458368, 11156845696, 11165236864, 11173624192, 
11182013824, 11190402688, 11198790784, 11207179136, 11215568768, 
11223957376, 11232345728, 11240734592, 11249122688, 11257511296, 
11265899648, 11274285952, 11282675584, 11291065472, 11299452544, 
11307842432, 11316231296, 11324616832, 11333009024, 11341395584, 
11349782656, 11358172288, 11366560384, 11374950016, 11383339648, 
11391721856, 11400117376, 11408504192, 11416893568, 11425283456, 
11433671552, 11442061184, 11450444672, 11458837888, 11467226752, 
11475611776, 11484003968, 11492392064, 11500780672, 11509169024, 
11517550976, 11525944448, 11534335616, 11542724224, 11551111808, 
11559500672, 11567890304, 11576277376, 11584667008, 11593056128, 
11601443456, 11609830016, 11618221952, 11626607488, 11634995072, 
11643387776, 11651775104, 11660161664, 11668552576, 11676940928, 
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108789568, 108920384, 109049792, 109182272, 109312576, 109444928, 
109572928, 109706944, 109837888, 109969088, 110099648, 110230976, 
110362432, 110492992, 110624704, 110755264, 110886208, 111017408, 
111148864, 111279296, 111410752, 111541952, 111673024, 111803456, 
111933632, 112066496, 112196416, 112328512, 112457792, 112590784, 
112715968, 112852672, 112983616, 113114944, 113244224, 113376448, 
113505472, 113639104, 113770304, 113901376, 114031552, 114163264, 
114294592, 114425536, 114556864, 114687424, 114818624, 114948544, 
115080512, 115212224, 115343296, 115473472, 115605184, 115736128, 
115867072, 115997248, 116128576, 116260288, 116391488, 116522944, 
116652992, 116784704, 116915648, 117046208, 117178304, 117308608, 
117440192, 117569728, 117701824, 117833024, 117964096, 118094656, 
118225984, 118357312, 118489024, 118617536, 118749632, 118882112, 
119012416, 119144384, 119275328, 119406016, 119537344, 119668672, 
119798464, 119928896, 120061376, 120192832, 120321728, 120454336, 
120584512, 120716608, 120848192, 120979136, 121109056, 121241408, 
121372352, 121502912, 121634752, 121764416, 121895744, 122027072, 
122157632, 122289088, 122421184, 122550592, 122682944, 122813888, 
122945344, 123075776, 123207488, 123338048, 123468736, 123600704, 
123731264, 123861952, 123993664, 124124608, 124256192, 124386368, 
124518208, 124649024, 124778048, 124911296, 125041088, 125173696, 
125303744, 125432896, 125566912, 125696576, 125829056, 125958592, 
126090304, 126221248, 126352832, 126483776, 126615232, 126746432, 
126876608, 127008704, 127139392, 127270336, 127401152, 127532224, 
127663552, 127794752, 127925696, 128055232, 128188096, 128319424, 
128449856, 128581312, 128712256, 128843584, 128973632, 129103808, 
129236288, 129365696, 129498944, 129629888, 129760832, 129892288, 
130023104, 130154048, 130283968, 130416448, 130547008, 130678336, 
130807616, 130939456, 131071552, 131202112, 131331776, 131464384, 
131594048, 131727296, 131858368, 131987392, 132120256, 132250816, 
132382528, 132513728, 132644672, 132774976, 132905792, 133038016, 
133168832, 133299392, 133429312, 133562048, 133692992, 133823296, 
133954624, 134086336, 134217152, 134348608, 134479808, 134607296, 
134741056, 134872384, 135002944, 135134144, 135265472, 135396544, 
135527872, 135659072, 135787712, 135921472, 136052416, 136182848, 
136313792, 136444864, 136576448, 136707904, 136837952, 136970048, 
137099584, 137232064, 137363392, 137494208, 137625536, 137755712, 
137887424, 138018368, 138149824, 138280256, 138411584, 138539584, 
138672832, 138804928, 138936128, 139066688, 139196864, 139328704, 
139460032, 139590208, 139721024, 139852864, 139984576, 140115776, 
140245696, 140376512, 140508352, 140640064, 140769856, 140902336, 
141032768, 141162688, 141294016, 141426496, 141556544, 141687488, 
141819584, 141949888, 142080448, 142212544, 142342336, 142474432, 
142606144, 142736192, 142868288, 142997824, 143129408, 143258944, 
143392448, 143523136, 143653696, 143785024, 143916992, 144045632, 
144177856, 144309184, 144440768, 144570688, 144701888, 144832448, 
144965056, 145096384, 145227584, 145358656, 145489856, 145620928, 
145751488, 145883072, 146011456, 146144704, 146275264, 146407232, 
146538176, 146668736, 146800448, 146931392, 147062336, 147193664, 
147324224, 147455936, 147586624, 147717056, 147848768, 147979456, 
148110784, 148242368, 148373312, 148503232, 148635584, 148766144, 
148897088, 149028416, 149159488, 149290688, 149420224, 149551552, 
149683136, 149814976, 149943616, 150076352, 150208064, 150338624, 
150470464, 150600256, 150732224, 150862784, 150993088, 151125952, 
151254976, 151388096, 151519168, 151649728, 151778752, 151911104, 
152042944, 152174144, 152304704, 152435648, 152567488, 152698816, 
152828992, 152960576, 153091648, 153222976, 153353792, 153484096, 
153616192, 153747008, 153878336, 154008256, 154139968, 154270912, 
154402624, 154533824, 154663616, 154795712, 154926272, 155057984, 
155188928, 155319872, 155450816, 155580608, 155712064, 155843392, 
155971136, 156106688, 156237376, 156367424, 156499264, 156630976, 
156761536, 156892352, 157024064, 157155008, 157284416, 157415872, 
157545536, 157677248, 157810496, 157938112, 158071744, 158203328, 
158334656, 158464832, 158596288, 158727616, 158858048, 158988992, 
159121216, 159252416, 159381568, 159513152, 159645632, 159776192, 
159906496, 160038464, 160169536, 160300352, 160430656, 160563008, 
160693952, 160822208, 160956352, 161086784, 161217344, 161349184, 
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162266432, 162397888, 162529216, 162660032, 162790976, 162922048, 
163052096, 163184576, 163314752, 163446592, 163577408, 163707968, 
163839296, 163969984, 164100928, 164233024, 164364224, 164494912, 
164625856, 164756672, 164887616, 165019072, 165150016, 165280064, 
165412672, 165543104, 165674944, 165805888, 165936832, 166067648, 
166198336, 166330048, 166461248, 166591552, 166722496, 166854208, 
166985408, 167116736, 167246656, 167378368, 167508416, 167641024, 
167771584, 167903168, 168034112, 168164032, 168295744, 168427456, 
168557632, 168688448, 168819136, 168951616, 169082176, 169213504, 
169344832, 169475648, 169605952, 169738048, 169866304, 169999552, 
170131264, 170262464, 170393536, 170524352, 170655424, 170782016, 
170917696, 171048896, 171179072, 171310784, 171439936, 171573184, 
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172489664, 172621376, 172747712, 172883264, 173014208, 173144512, 
173275072, 173407424, 173539136, 173669696, 173800768, 173931712, 
174063424, 174193472, 174325696, 174455744, 174586816, 174718912, 
174849728, 174977728, 175109696, 175242688, 175374272, 175504832, 
175636288, 175765696, 175898432, 176028992, 176159936, 176291264, 
176422592, 176552512, 176684864, 176815424, 176946496, 177076544, 
177209152, 177340096, 177470528, 177600704, 177731648, 177864256, 
177994816, 178126528, 178257472, 178387648, 178518464, 178650176, 
178781888, 178912064, 179044288, 179174848, 179305024, 179436736, 
179568448, 179698496, 179830208, 179960512, 180092608, 180223808, 
180354752, 180485696, 180617152, 180748096, 180877504, 181009984, 
181139264, 181272512, 181402688, 181532608, 181663168, 181795136, 
181926592, 182057536, 182190016, 182320192, 182451904, 182582336, 
182713792, 182843072, 182976064, 183107264, 183237056, 183368384, 
183494848, 183631424, 183762752, 183893824, 184024768, 184154816, 
184286656, 184417984, 184548928, 184680128, 184810816, 184941248, 
185072704, 185203904, 185335616, 185465408, 185596352, 185727296, 
185859904, 185989696, 186121664, 186252992, 186383552, 186514112, 
186645952, 186777152, 186907328, 187037504, 187170112, 187301824, 
187429184, 187562048, 187693504, 187825472, 187957184, 188087104, 
188218304, 188349376, 188481344, 188609728, 188743616, 188874304, 
189005248, 189136448, 189265088, 189396544, 189528128, 189660992, 
189791936, 189923264, 190054208, 190182848, 190315072, 190447424, 
190577984, 190709312, 190840768, 190971328, 191102656, 191233472, 
191364032, 191495872, 191626816, 191758016, 191888192, 192020288, 
192148928, 192282176, 192413504, 192542528, 192674752, 192805952, 
192937792, 193068608, 193198912, 193330496, 193462208, 193592384, 
193723456, 193854272, 193985984, 194116672, 194247232, 194379712, 
194508352, 194641856, 194772544, 194900672, 195035072, 195166016, 
195296704, 195428032, 195558592, 195690304, 195818176, 195952576, 
196083392, 196214336, 196345792, 196476736, 196607552, 196739008, 
196869952, 197000768, 197130688, 197262784, 197394368, 197523904, 
197656384, 197787584, 197916608, 198049472, 198180544, 198310208, 
198442432, 198573632, 198705088, 198834368, 198967232, 199097792, 
199228352, 199360192, 199491392, 199621696, 199751744, 199883968, 
200014016, 200146624, 200276672, 200408128, 200540096, 200671168, 
200801984, 200933312, 201062464, 201194944, 201326144, 201457472, 
201588544, 201719744, 201850816, 201981632, 202111552, 202244032, 
202374464, 202505152, 202636352, 202767808, 202898368, 203030336, 
203159872, 203292608, 203423296, 203553472, 203685824, 203816896, 
203947712, 204078272, 204208192, 204341056, 204472256, 204603328, 
204733888, 204864448, 204996544, 205125568, 205258304, 205388864, 
205517632, 205650112, 205782208, 205913536, 206044736, 206176192, 
206307008, 206434496, 206569024, 206700224, 206831168, 206961856, 
207093056, 207223616, 207355328, 207486784, 207616832, 207749056, 
207879104, 208010048, 208141888, 208273216, 208404032, 208534336, 
208666048, 208796864, 208927424, 209059264, 209189824, 209321792, 
209451584, 209582656, 209715136, 209845568, 209976896, 210106432, 
210239296, 210370112, 210501568, 210630976, 210763712, 210894272, 
211024832, 211156672, 211287616, 211418176, 211549376, 211679296, 
211812032, 211942592, 212074432, 212204864, 212334016, 212467648, 
212597824, 212727616, 212860352, 212991424, 213120832, 213253952, 
213385024, 213515584, 213645632, 213777728, 213909184, 214040128, 
214170688, 214302656, 214433728, 214564544, 214695232, 214826048, 
214956992, 215089088, 215219776, 215350592, 215482304, 215613248, 
215743552, 215874752, 216005312, 216137024, 216267328, 216399296, 
216530752, 216661696, 216790592, 216923968, 217054528, 217183168, 
217316672, 217448128, 217579072, 217709504, 217838912, 217972672, 
218102848, 218233024, 218364736, 218496832, 218627776, 218759104, 
218888896, 219021248, 219151936, 219281728, 219413056, 219545024, 
219675968, 219807296, 219938624, 220069312, 220200128, 220331456, 
220461632, 220592704, 220725184, 220855744, 220987072, 221117888, 
221249216, 221378368, 221510336, 221642048, 221772736, 221904832, 
222031808, 222166976, 222297536, 222428992, 222559936, 222690368, 
222820672, 222953152, 223083968, 223213376, 223345984, 223476928, 
223608512, 223738688, 223869376, 224001472, 224132672, 224262848, 
224394944, 224524864, 224657344, 224788288, 224919488, 225050432, 
225181504, 225312704, 225443776, 225574592, 225704768, 225834176, 
225966784, 226097216, 226229824, 226360384, 226491712, 226623424, 
226754368, 226885312, 227015104, 227147456, 227278528, 227409472, 
227539904, 227669696, 227802944, 227932352, 228065216, 228196288, 
228326464, 228457792, 228588736, 228720064, 228850112, 228981056, 
229113152, 229243328, 229375936, 229505344, 229636928, 229769152, 
229894976, 230030272, 230162368, 230292416, 230424512, 230553152, 
230684864, 230816704, 230948416, 231079616, 231210944, 231342016, 
231472448, 231603776, 231733952, 231866176, 231996736, 232127296, 
232259392, 232388672, 232521664, 232652608, 232782272, 232914496, 
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282590272, 282720832, 282853184, 282983744, 283115072, 283246144, 
283377344, 283508416, 283639744, 283770304, 283901504, 284032576, 
284163136, 284294848, 284426176, 284556992, 284687296, 284819264, 
284950208, 285081536]

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
    
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
    
FNV_PRIME = 0x01000193

def fnv(v1, v2):
    return ((v1 * FNV_PRIME) ^ v2) % 2**32   
    
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)]
    
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
    nonce = encode_int(nonce)
    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])
    
def get_seedhash(block):
    s = '\x00' * 32
    for i in range(block.number // EPOCH_LENGTH):
        s = serialize_hash(sha3_256(s))
    return s
    
def mine(full_size, dataset, header, difficulty):
    print("Target: {}".format(float(2**256 // difficulty)))
    target = zpad(encode_int(2**256 // difficulty), 64) # [::-1]
    print("Target after padding: {}".format(float(decode_int(target))))
    from random import randint
    nonce = randint(0, 2**64)
    print("Nonce: {}".format(nonce))
    print(float(decode_int(hashimoto_full(full_size, dataset, header, nonce)['result'])))
    steps = 0
    while decode_int(hashimoto_full(full_size, dataset, header, nonce)['result']) > decode_int(target):
        nonce = (nonce + 1) % 2**64
        steps += 1
    print("Nonce: {}".format(nonce))
    print(float(decode_int(hashimoto_full(full_size, dataset, header, nonce)['result'])))
    print("Steps required: {}".format(steps))
    return nonce
    
    
class Block(object):
    def __init__(self, number):
        self.number = number 
        
    
def main():
    header_size = 508 + 8 * 5

    block = Block(1)
    header = str(bytearray(header_size))
    difficulty = 0x4000
    
    cache_size = get_cache_size(block.number)
    full_size = get_full_size(block.number)
    seedhash = get_seedhash(block)
    print("Prepare cache...")
    cache = mkcache(cache_size, seedhash)
    print("Prepare full dataset... Could take a few hours, please be patient.")
    dataset = calc_dataset(full_size, cache)
    print("Mine a block")
    mine(full_size, dataset, header, difficulty)
  
  
if __name__ == "__main__":
    main()