File size: 10,387 Bytes
25faada 7f74b7d 25faada 7f74b7d 25faada | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 | """Query the Bestemshe endgame oracle on Hugging Face via HTTP Range requests.
No local tablebase download, no C++ compile step — each lookup fetches only
the 4MiB compressed block that contains the bit it needs.
Needs only: pip install requests zstandard
"""
from __future__ import annotations
import os
from dataclasses import dataclass
from functools import lru_cache
from typing import Literal, NamedTuple
import requests
import zstandard
TABLEBASE_DATASET = os.environ.get("BESTEMSHE_DATASET", "ansarzeinulla/bestemshe-tablebase")
BASE_URL = os.environ.get(
"BESTEMSHE_ORACLE_BASE_URL",
f"https://huggingface.co/datasets/{TABLEBASE_DATASET}/resolve/main/layers/compressed",
)
TOTAL_STONES = 50 # conserved: k1 + k2 + sum(pits)
NUM_PITS = 5 # pits per side
MAX_KAZAN = 24 # largest kazan the dataset stores
WIN_THRESHOLD = 26 # a kazan this large has already won
BYTES_PER_BLOCK = 33_554_432 // 8 # 4 MiB decompressed per block
Verdict = Literal["win", "loss", "draw", "unknown"]
@dataclass(frozen=True)
class Position:
"""Side-to-move relative. pits[0:5] are the mover's own pits."""
k1: int
k2: int
pits: tuple[int, ...] # length 10
def is_valid(self) -> bool:
if not (0 <= self.k1 <= MAX_KAZAN and self.k1 % 2 == 0):
return False
if not (0 <= self.k2 <= MAX_KAZAN and self.k2 % 2 == 0):
return False
if len(self.pits) != 10 or any(not 0 <= p < TOTAL_STONES for p in self.pits):
return False
return self.k1 + self.k2 + sum(self.pits) == TOTAL_STONES
# ---------------------------------------------------------------- indexing
@lru_cache(maxsize=None)
def n_c_r(n: int, r: int) -> int:
"""Exact binomial; 0 outside the domain, matching StateIndex.h's nCr."""
if n < 0 or r < 0 or n < r:
return 0
if r == 0 or n == r:
return 1
r = min(r, n - r)
result = 1
for i in range(r):
result = result * (n - i) // (i + 1)
return result
def min_kazan(m: int) -> int:
"""Smallest possible side-to-move kazan given m = k1 + k2 captured."""
return max(0, m - MAX_KAZAN)
def index_state(pos: Position) -> int:
"""The position's rank WITHIN its (k1, k2) layer file.
Each layer_<k1>_<k2>_*.bin file already isolates one kazan slice, so the
on-disk bit index is just I_B — the board composition's stars-and-bars
rank (a multiset rank). This mirrors Oracle.h's TablebaseOracle::query(),
which computes the same global IndexState (I_K * b_count + I_B) as the
monolithic in-memory tablebase would use, then reduces it mod b_count to
land on the per-file offset — equivalent to using I_B alone here.
"""
i_b = 0
running = 0
for i in range(9): # 9, not 10: the last pit is implied
running += pos.pits[i]
i_b += n_c_r(i + running, i + 1)
return i_b
class BitLocation(NamedTuple):
block_index: int
local_byte: int # byte offset inside the DECOMPRESSED block
bit_offset: int # 0..7, little-endian within the byte
def bit_location(rank: int) -> BitLocation:
byte_index = rank // 8
return BitLocation(
block_index=byte_index // BYTES_PER_BLOCK,
local_byte=byte_index % BYTES_PER_BLOCK,
bit_offset=rank % 8,
)
def layer_urls(pos: Position, base_url: str = BASE_URL) -> tuple[str, str]:
"""(win_url, draw_url) for this position's layer."""
return (f"{base_url}/layer_{pos.k1}_{pos.k2}_win.bin",
f"{base_url}/layer_{pos.k1}_{pos.k2}_draw.bin")
# ------------------------------------------------------------------ moves
class Child(NamedTuple):
pit: int # 0..4, the mover's own pit
land: int # 0..9, where the last sown stone landed (pre-flip board)
position: "Position" # the flipped board after the move (always populated,
# even when the move ends the game outright)
capture: bool
wins_immediately: bool # opponent row emptied, or kazan >= 26
def legal_pits(pos: Position) -> list[int]:
return [i for i in range(NUM_PITS) if pos.pits[i] > 0]
def apply_move(pos: Position, pit: int) -> Child:
"""Sow one pit and return the child ALREADY FLIPPED to the opponent's view."""
pits = list(pos.pits)
stones = pits[pit]
if stones == 0:
raise ValueError(f"pit {pit} is empty")
pits[pit] = 0
if stones == 1:
last = (pit + 1) % 10
pits[last] += 1
else:
pits[pit] = 1
last = pit
for _ in range(stones - 1):
last = (last + 1) % 10
pits[last] += 1
captured = 0
capture = False
if last >= NUM_PITS and pits[last] % 2 == 0 and pits[last] > 0:
captured, pits[last] = pits[last], 0
capture = True
mover_kazan = pos.k1 + captured
opponent_starved = all(p == 0 for p in pits[NUM_PITS:])
child = Position(
k1=pos.k2,
k2=mover_kazan,
pits=tuple(pits[NUM_PITS:] + pits[:NUM_PITS]),
)
wins_immediately = opponent_starved or mover_kazan >= WIN_THRESHOLD
return Child(pit=pit, land=last, position=child, capture=capture, wins_immediately=wins_immediately)
# ----------------------------------------------------------------- oracle
INVERSE: dict[Verdict, Verdict] = {
"win": "loss", "loss": "win", "draw": "draw", "unknown": "unknown",
}
class Oracle:
"""Reads single bits out of the remote .bin layers via HTTP Range."""
def __init__(self, base_url: str = BASE_URL, session: requests.Session | None = None):
self.base_url = base_url
self.session = session or requests.Session()
self._headers: dict[str, list[int] | None] = {}
self._blocks: dict[tuple[str, int], bytes] = {}
def _range_get(self, url: str, start: int, end: int) -> bytes | None:
resp = self.session.get(url, headers={"Range": f"bytes={start}-{end}"}, timeout=30)
if resp.status_code == 404:
return None
resp.raise_for_status()
return resp.content
def offsets(self, url: str) -> list[int] | None:
if url in self._headers:
return self._headers[url]
head = self._range_get(url, 0, 4095)
if head is None:
self._headers[url] = None
return None
num_blocks = int.from_bytes(head[:4], "little")
need = 4 + 4 * (num_blocks + 1)
if len(head) < need:
head = self._range_get(url, 0, need - 1)
table = [int.from_bytes(head[4 + 4 * i: 8 + 4 * i], "little")
for i in range(num_blocks + 1)]
self._headers[url] = table
return table
def block(self, url: str, block_index: int) -> bytes:
cached = self._blocks.get((url, block_index))
if cached is not None:
return cached
table = self.offsets(url)
if table is None or block_index + 1 >= len(table):
return b""
start, end = table[block_index], table[block_index + 1] - 1
compressed = self._range_get(url, start, end) or b""
data = zstandard.ZstdDecompressor().decompress(
compressed, max_output_size=BYTES_PER_BLOCK)
self._blocks[(url, block_index)] = data
return data
def locate(self, pos: Position) -> dict:
"""Resolve a position to its exact file + byte range without downloading."""
rank = index_state(pos)
loc = bit_location(rank)
win_url, draw_url = layer_urls(pos, self.base_url)
plan = {"rank": rank, "block_index": loc.block_index,
"local_byte": loc.local_byte, "bit_offset": loc.bit_offset,
"files": {}}
for name, url in (("win", win_url), ("draw", draw_url)):
table = self.offsets(url)
if table is None:
plan["files"][name] = {"url": url, "exists": False}
continue
plan["files"][name] = {
"url": url,
"exists": True,
"byte_range": (table[loc.block_index],
table[loc.block_index + 1] - 1),
"compressed_size": table[loc.block_index + 1] - table[loc.block_index],
}
return plan
def value(self, pos: Position) -> Verdict:
"""Verdict from the SIDE TO MOVE's perspective."""
if not pos.is_valid():
return "unknown"
rank = index_state(pos)
loc = bit_location(rank)
win_url, draw_url = layer_urls(pos, self.base_url)
if self.offsets(draw_url) is None or self.offsets(win_url) is None:
return self._derive(pos)
def read_bit(url: str) -> int:
data = self.block(url, loc.block_index)
if loc.local_byte >= len(data):
return 0
return (data[loc.local_byte] >> loc.bit_offset) & 1
if read_bit(draw_url):
return "draw"
return "win" if read_bit(win_url) else "loss"
def children_values(self, pos: Position) -> list[dict]:
"""Evaluate all legal child moves."""
out = []
for pit in legal_pits(pos):
child = apply_move(pos, pit)
if child.wins_immediately:
out.append({"pit": pit, "land": child.land, "position": child.position,
"capture": child.capture,
"value": "loss", "value_for_mover": "win",
"terminal": True})
continue
child_value = self.value(child.position)
out.append({"pit": pit, "land": child.land, "position": child.position,
"capture": child.capture,
"value": child_value,
"value_for_mover": INVERSE[child_value],
"terminal": False})
return out
def _derive(self, pos: Position) -> Verdict:
children = self.children_values(pos)
if not children:
return "loss"
if any(c["value_for_mover"] == "win" for c in children):
return "win"
if any(c["value"] == "unknown" for c in children):
return "unknown"
return "draw" if any(c["value"] == "draw" for c in children) else "loss"
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