""" Zobrist hash calculation.

used/imported by go.Position

"""

import enum

from collections import namedtuple

from typing import Optional, Iterable, Dict, Tuple, TYPE_CHECKING

import numpy as np

import go

class Player(enum.Enum):

black = 1

white = 2

class Point(namedtuple('Point', 'row col')):

pass

class ZobristHash:

def __init__(self, board_size: int):

self.ztable = self.initialize_ztable(DLGO_ZOBRIST_HASH, board_size)

self.EMPTY_BOARD_HASH = np.uint64(EMPTY_BOARD_HASH_19)

@staticmethod

def initialize_ztable(hmap: Dict[Tuple[Point, Player], np.uint64], n: int) -> np.ndarray:

"""

how to lookup the final table: ztable[move[0], move[1], to_play + 1]

ztable[:, :, 0/1/2] is hash for white/empty/black

"""

PLAYER_MAP = [Player.white, None, Player.black]

ztable = np.ndarray(shape=(n, n, 3), dtype=np.uint64)

for i in range(n):

for j in range(n):

for k in range(3):

ztable[(i, j, k)] = hmap[Point(i+1, j+1), PLAYER_MAP[k]]

# the most common op when playing/undo a move needs to apply "empty" hash

ztable[(i, j, 0)] ^= ztable[(i, j, 1)]

ztable[(i, j, 2)] ^= ztable[(i, j, 1)]

return ztable

def board_hash_slow(self, board: np.ndarray) -> np.uint64:

""" compute board hash stone by stone """

h = np.uint64(self.EMPTY_BOARD_HASH)

for i, j in np.argwhere(board != 0):

color = board[i, j]

h ^= self.ztable[(i, j, 1 + color)]

return h

def board_hash(self, board: np.ndarray) -> np.uint64:

""" compute board hash array style """

h = np.uint64(self.EMPTY_BOARD_HASH)

black_hashes = self.ztable[:, :, 2][board == 1]

white_hashes = self.ztable[:, :, 0][board == -1]

return h ^ np.bitwise_xor.reduce(black_hashes) ^ np.bitwise_xor.reduce(white_hashes)

def hash_after_move(self, pos: 'go.Position', move: Optional[tuple], captured: Iterable[tuple]) -> np.uint64:

start_hash = pos.zobrist_hash

if move is None:

return start_hash

to_play = pos.to_play # -1/1

h = start_hash

h ^= self.ztable[(move[0], move[1], 1 + to_play)]

for p in captured:

h ^= self.ztable[(p[0], p[1], 1 - to_play)]

return h

# below is clipped from dlgo zobrist code

DLGO_ZOBRIST_HASH = {

(Point(row=1, col=1), None): 6402364705153495313,

(Point(row=1, col=1), Player.black): 444191475187629924,

(Point(row=1, col=1), Player.white): 3180807544946524599,

(Point(row=1, col=2), None): 3474352554071515715,

(Point(row=1, col=2), Player.black): 4452486373405451057,

(Point(row=1, col=2), Player.white): 2625197482182378633,

(Point(row=1, col=3), None): 4301395653233812397,

(Point(row=1, col=3), Player.black): 1052743445463685251,

(Point(row=1, col=3), Player.white): 4333922193950527979,

(Point(row=1, col=4), None): 579019433439089653,

(Point(row=1, col=4), Player.black): 6933861647704254864,

(Point(row=1, col=4), Player.white): 7471883531373616369,

(Point(row=1, col=5), None): 6620703135527919578,

(Point(row=1, col=5), Player.black): 266726669874565249,

(Point(row=1, col=5), Player.white): 971215397166039728,

(Point(row=1, col=6), None): 4901139204652546593,

(Point(row=1, col=6), Player.black): 3661296273230053320,

(Point(row=1, col=6), Player.white): 2091383563393534946,

(Point(row=1, col=7), None): 5841479823883894579,

(Point(row=1, col=7), Player.black): 1343795425674087019,

(Point(row=1, col=7), Player.white): 7027629093182269949,

(Point(row=1, col=8), None): 6974526363558785031,

(Point(row=1, col=8), Player.black): 3308889409935951416,

(Point(row=1, col=8), Player.white): 8001375756973022700,

(Point(row=1, col=9), None): 3326669231944330056,

(Point(row=1, col=9), Player.black): 182527627536217527,

(Point(row=1, col=9), Player.white): 647055117537790819,

(Point(row=1, col=10), None): 6580632857085978264,

(Point(row=1, col=10), Player.black): 6659120627973877329,

(Point(row=1, col=10), Player.white): 6957515196384025093,

(Point(row=1, col=11), None): 9041661876709162103,

(Point(row=1, col=11), Player.black): 9191630649994762430,

(Point(row=1, col=11), Player.white): 7667317760915857375,

(Point(row=1, col=12), None): 1146547653441411500,

(Point(row=1, col=12), Player.black): 4291861776441109562,

(Point(row=1, col=12), Player.white): 5261049327471094678,

(Point(row=1, col=13), None): 2778587950653512497,

(Point(row=1, col=13), Player.black): 465534554861083261,

(Point(row=1, col=13), Player.white): 3865103907397000387,

(Point(row=1, col=14), None): 4402854031209572266,

(Point(row=1, col=14), Player.black): 2607843465059610177,

(Point(row=1, col=14), Player.white): 5449307550544736426,

(Point(row=1, col=15), None): 5205560982133491164,

(Point(row=1, col=15), Player.black): 1757319192084209670,

(Point(row=1, col=15), Player.white): 2204336175311806893,

(Point(row=1, col=16), None): 6377548462923823584,

(Point(row=1, col=16), Player.black): 5370945101679060223,

(Point(row=1, col=16), Player.white): 2750848819294718078,

(Point(row=1, col=17), None): 1922634541266613353,

(Point(row=1, col=17), Player.black): 3035185049417693555,

(Point(row=1, col=17), Player.white): 9116106208682090693,

(Point(row=1, col=18), None): 9132932969976328558,

(Point(row=1, col=18), Player.black): 9192639340869719841,

(Point(row=1, col=18), Player.white): 5306307051004961905,

(Point(row=1, col=19), None): 1273340342344806167,

(Point(row=1, col=19), Player.black): 4527122623697748155,

(Point(row=1, col=19), Player.white): 3428488706066419650,

(Point(row=2, col=1), None): 6449118728834868339,

(Point(row=2, col=1), Player.black): 1585640068930406174,

(Point(row=2, col=1), Player.white): 9134544091463577840,

(Point(row=2, col=2), None): 8328734357465609043,

(Point(row=2, col=2), Player.black): 3825472901644543968,

(Point(row=2, col=2), Player.white): 4331833334881670434,

(Point(row=2, col=3), None): 7939176487324947983,

(Point(row=2, col=3), Player.black): 8678508756355018553,

(Point(row=2, col=3), Player.white): 5235979586169535941,

(Point(row=2, col=4), None): 7263218545755892903,

(Point(row=2, col=4), Player.black): 4448713833350756341,

(Point(row=2, col=4), Player.white): 4465157666470120555,

(Point(row=2, col=5), None): 3239965565957128280,

(Point(row=2, col=5), Player.black): 4557763796869350033,

(Point(row=2, col=5), Player.white): 8842890046215258149,

(Point(row=2, col=6), None): 3769355537864191299,

(Point(row=2, col=6), Player.black): 6885240998881489694,

(Point(row=2, col=6), Player.white): 4415950635220041552,

(Point(row=2, col=7), None): 7621263210603790530,

(Point(row=2, col=7), Player.black): 7256234720016582174,

(Point(row=2, col=7), Player.white): 499138474184864094,

(Point(row=2, col=8), None): 5025506371434802894,

(Point(row=2, col=8), Player.black): 2778062765892278994,

(Point(row=2, col=8), Player.white): 3712877991078905475,

(Point(row=2, col=9), None): 840509165269696992,

(Point(row=2, col=9), Player.black): 8647746146718318171,

(Point(row=2, col=9), Player.white): 535387047113016018,

(Point(row=2, col=10), None): 8708635127468887087,

(Point(row=2, col=10), Player.black): 975639018856529464,

(Point(row=2, col=10), Player.white): 12436055714459141,

(Point(row=2, col=11), None): 8895395780204337051,

(Point(row=2, col=11), Player.black): 4412612752235080739,

(Point(row=2, col=11), Player.white): 3784840302641714006,

(Point(row=2, col=12), None): 577424424841274797,

(Point(row=2, col=12), Player.black): 4746030903634755766,

(Point(row=2, col=12), Player.white): 6316652347533303429,

(Point(row=2, col=13), None): 6441043060651851472,

(Point(row=2, col=13), Player.black): 8551628441633633049,

(Point(row=2, col=13), Player.white): 6158877703276773492,

(Point(row=2, col=14), None): 7740666914240334555,

(Point(row=2, col=14), Player.black): 6148556273867368376,

(Point(row=2, col=14), Player.white): 2671810666463534590,

(Point(row=2, col=15), None): 3756484191730342703,

(Point(row=2, col=15), Player.black): 3556222011996989557,

(Point(row=2, col=15), Player.white): 3861437304505402972,

(Point(row=2, col=16), None): 236496246506091899,

(Point(row=2, col=16), Player.black): 818014148096696419,

(Point(row=2, col=16), Player.white): 6468780300745379509,

(Point(row=2, col=17), None): 399155553254586720,

(Point(row=2, col=17), Player.black): 3702070310203979897,

(Point(row=2, col=17), Player.white): 593549611371714409,

(Point(row=2, col=18), None): 8767893947804512198,

(Point(row=2, col=18), Player.black): 5133383106902779321,

(Point(row=2, col=18), Player.white): 6828977111791572903,

(Point(row=2, col=19), None): 4592011223739099001,

(Point(row=2, col=19), Player.black): 7614885855104742178,

(Point(row=2, col=19), Player.white): 1065785641268353102,

(Point(row=3, col=1), None): 3214339223890817952,

(Point(row=3, col=1), Player.black): 1804735232890689478,

(Point(row=3, col=1), Player.white): 5530191433834147475,

(Point(row=3, col=2), None): 2459542802743141529,

(Point(row=3, col=2), Player.black): 7430710132699508883,

(Point(row=3, col=2), Player.white): 5227922030234559936,

(Point(row=3, col=3), None): 8310487749316464853,

(Point(row=3, col=3), Player.black): 6539250671230328204,

(Point(row=3, col=3), Player.white): 1636391802322895807,

(Point(row=3, col=4), None): 3201605223513475804,

(Point(row=3, col=4), Player.black): 4693922249704781826,

(Point(row=3, col=4), Player.white): 1779229419151637822,

(Point(row=3, col=5), None): 558201485475450064,

(Point(row=3, col=5), Player.black): 4865685331756308707,

(Point(row=3, col=5), Player.white): 7052208577881940555,

(Point(row=3, col=6), None): 4805567071864461468,

(Point(row=3, col=6), Player.black): 7559097505437019193,

(Point(row=3, col=6), Player.white): 4643844473324317561,

(Point(row=3, col=7), None): 1519687966931990918,

(Point(row=3, col=7), Player.black): 6786702668528296933,

(Point(row=3, col=7), Player.white): 3684977632621123172,

(Point(row=3, col=8), None): 2610234951903747791,

(Point(row=3, col=8), Player.black): 7104169818985152575,

(Point(row=3, col=8), Player.white): 4560982823209099388,

(Point(row=3, col=9), None): 159142264817205456,

(Point(row=3, col=9), Player.black): 781602136172868089,

(Point(row=3, col=9), Player.white): 5569741163936435548,

(Point(row=3, col=10), None): 9067722428313912262,

(Point(row=3, col=10), Player.black): 4723369690040452091,

(Point(row=3, col=10), Player.white): 6378019894347085307,

(Point(row=3, col=11), None): 460746804383889904,

(Point(row=3, col=11), Player.black): 8100714703851785038,

(Point(row=3, col=11), Player.white): 305499469080745306,

(Point(row=3, col=12), None): 5297676611173878612,

(Point(row=3, col=12), Player.black): 1927546534823338275,

(Point(row=3, col=12), Player.white): 896019098429197548,

(Point(row=3, col=13), None): 1286564752928684810,

(Point(row=3, col=13), Player.black): 3212624103038956378,

(Point(row=3, col=13), Player.white): 1020352911642252781,

(Point(row=3, col=14), None): 5449294960749378567,

(Point(row=3, col=14), Player.black): 1189228143402220965,

(Point(row=3, col=14), Player.white): 7591720174038768320,

(Point(row=3, col=15), None): 6931960571125079076,

(Point(row=3, col=15), Player.black): 1055891884634482278,

(Point(row=3, col=15), Player.white): 3800778189645971447,

(Point(row=3, col=16), None): 715891830713545573,

(Point(row=3, col=16), Player.black): 7852768451293332371,

(Point(row=3, col=16), Player.white): 5078429455126308573,

(Point(row=3, col=17), None): 1778533326402989039,

(Point(row=3, col=17), Player.black): 2458344364044189676,

(Point(row=3, col=17), Player.white): 3689804324801256999,

(Point(row=3, col=18), None): 2170672545712705912,

(Point(row=3, col=18), Player.black): 898230024106306560,

(Point(row=3, col=18), Player.white): 1336093135229730915,

(Point(row=3, col=19), None): 8702635158959698093,

(Point(row=3, col=19), Player.black): 8425171920202584706,

(Point(row=3, col=19), Player.white): 915181043986995702,

(Point(row=4, col=1), None): 4004871713182262070,

(Point(row=4, col=1), Player.black): 2821066776118968440,

(Point(row=4, col=1), Player.white): 606591794771243444,

(Point(row=4, col=2), None): 5230740409529799347,

(Point(row=4, col=2), Player.black): 2209315354228125698,

(Point(row=4, col=2), Player.white): 4054461639177786028,

(Point(row=4, col=3), None): 7152330581273339063,

(Point(row=4, col=3), Player.black): 1725271973127949257,

(Point(row=4, col=3), Player.white): 8476625611840964372,

(Point(row=4, col=4), None): 7083050387819501721,

(Point(row=4, col=4), Player.black): 8531110550199435366,

(Point(row=4, col=4), Player.white): 8808199961093427400,

(Point(row=4, col=5), None): 1011681971776576307,

(Point(row=4, col=5), Player.black): 7907947182356614813,

(Point(row=4, col=5), Player.white): 5256367253333525286,

(Point(row=4, col=6), None): 8090533373807174698,

(Point(row=4, col=6), Player.black): 7592576832065363597,

(Point(row=4, col=6), Player.white): 9108827166927302462,

(Point(row=4, col=7), None): 148442356257871513,

(Point(row=4, col=7), Player.black): 5610751411300577227,

(Point(row=4, col=7), Player.white): 7691118390552077387,

(Point(row=4, col=8), None): 1342630896765287083,

(Point(row=4, col=8), Player.black): 6123849063435974300,

(Point(row=4, col=8), Player.white): 8196583757814147075,

(Point(row=4, col=9), None): 2129147695078284758,

(Point(row=4, col=9), Player.black): 9111181793229849285,

(Point(row=4, col=9), Player.white): 5479420289394836701,

(Point(row=4, col=10), None): 5923407029508913502,

(Point(row=4, col=10), Player.black): 8044078599318789644,

(Point(row=4, col=10), Player.white): 5479153792641138286,

(Point(row=4, col=11), None): 393887881715599288,

(Point(row=4, col=11), Player.black): 726705351862230621,

(Point(row=4, col=11), Player.white): 8139510337319572969,

(Point(row=4, col=12), None): 2822056917918869985,

(Point(row=4, col=12), Player.black): 2433442482806939237,

(Point(row=4, col=12), Player.white): 3125525600398009853,

(Point(row=4, col=13), None): 5684229964252598350,

(Point(row=4, col=13), Player.black): 4686403392452973091,

(Point(row=4, col=13), Player.white): 6085779330032826349,

(Point(row=4, col=14), None): 7826091629117900271,

(Point(row=4, col=14), Player.black): 8931528487227229778,

(Point(row=4, col=14), Player.white): 4535458209118169084,

(Point(row=4, col=15), None): 1833797249778996213,

(Point(row=4, col=15), Player.black): 2965594857841836131,

(Point(row=4, col=15), Player.white): 4097061679336533589,

(Point(row=4, col=16), None): 943390866590328013,

(Point(row=4, col=16), Player.black): 6711478166371935177,

(Point(row=4, col=16), Player.white): 3101246156323461394,

(Point(row=4, col=17), None): 3173861742912989385,

(Point(row=4, col=17), Player.black): 8548142168299395065,

(Point(row=4, col=17), Player.white): 5335277406341172729,

(Point(row=4, col=18), None): 2203934612495904377,

(Point(row=4, col=18), Player.black): 4062952182080696242,

(Point(row=4, col=18), Player.white): 4159099634239066734,

(Point(row=4, col=19), None): 1279838196939269452,

(Point(row=4, col=19), Player.black): 8838438865276977743,

(Point(row=4, col=19), Player.white): 9213692649117641996,

(Point(row=5, col=1), None): 3970787424252681183,

(Point(row=5, col=1), Player.black): 9121673643611892697,

(Point(row=5, col=1), Player.white): 5357186677382163771,

(Point(row=5, col=2), None): 4932472531976974592,

(Point(row=5, col=2), Player.black): 714832167672743793,

(Point(row=5, col=2), Player.white): 2437081593430763803,

(Point(row=5, col=3), None): 8256778408589110131,

(Point(row=5, col=3), Player.black): 6080470963214502273,

(Point(row=5, col=3), Player.white): 2495757575503324631,

(Point(row=5, col=4), None): 89160742088962376,

(Point(row=5, col=4), Player.black): 2416021242026214464,

(Point(row=5, col=4), Player.white): 8327480479404806966,

(Point(row=5, col=5), None): 6540335895073663871,

(Point(row=5, col=5), Player.black): 1122643827088857012,

(Point(row=5, col=5), Player.white): 482721879645106227,

(Point(row=5, col=6), None): 3289361158875287472,

(Point(row=5, col=6), Player.black): 8704118699776142494,

(Point(row=5, col=6), Player.white): 2996745166287033854,

(Point(row=5, col=7), None): 2377104713468886038,

(Point(row=5, col=7), Player.black): 4141699207365748082,

(Point(row=5, col=7), Player.white): 862169453568162505,

(Point(row=5, col=8), None): 4917939387271042997,

(Point(row=5, col=8), Player.black): 1484651023567990862,

(Point(row=5, col=8), Player.white): 5673769096719125195,

(Point(row=5, col=9), None): 3020492033375902908,

(Point(row=5, col=9), Player.black): 1775183889184447121,

(Point(row=5, col=9), Player.white): 631398328521238939,

(Point(row=5, col=10), None): 6981674218688302866,

(Point(row=5, col=10), Player.black): 2273351100975277247,

(Point(row=5, col=10), Player.white): 5777225017176976571,

(Point(row=5, col=11), None): 4330705311243731973,

(Point(row=5, col=11), Player.black): 3963482564690695107,

(Point(row=5, col=11), Player.white): 2288727862300371672,

(Point(row=5, col=12), None): 9014811060966004298,

(Point(row=5, col=12), Player.black): 4289286217307604131,

(Point(row=5, col=12), Player.white): 697355111142392607,

(Point(row=5, col=13), None): 8235685956105459657,

(Point(row=5, col=13), Player.black): 8168007848538534157,

(Point(row=5, col=13), Player.white): 2804272276044443686,

(Point(row=5, col=14), None): 8225900234506491415,

(Point(row=5, col=14), Player.black): 2200277323150620183,

(Point(row=5, col=14), Player.white): 203974965768980816,

(Point(row=5, col=15), None): 2752315560833329864,

(Point(row=5, col=15), Player.black): 1237373329060552168,

(Point(row=5, col=15), Player.white): 2457801072451683571,

(Point(row=5, col=16), None): 9206495611621710488,

(Point(row=5, col=16), Player.black): 7479150707332996833,

(Point(row=5, col=16), Player.white): 653894659358868314,

(Point(row=5, col=17), None): 6953138104722064453,

(Point(row=5, col=17), Player.black): 6400962948817612487,

(Point(row=5, col=17), Player.white): 2768989623510194233,

(Point(row=5, col=18), None): 7417012331464802806,

(Point(row=5, col=18), Player.black): 3980447420236150362,

(Point(row=5, col=18), Player.white): 6919602418177107430,

(Point(row=5, col=19), None): 5668464032013017166,

(Point(row=5, col=19), Player.black): 8757112649996924998,

(Point(row=5, col=19), Player.white): 6290723394473004617,

(Point(row=6, col=1), None): 7238406206765822665,

(Point(row=6, col=1), Player.black): 423812617168567217,

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(Point(row=17, col=4), Player.white): 1256090539020774254,

(Point(row=17, col=5), None): 8892327929102139278,

(Point(row=17, col=5), Player.black): 1496962392350061870,