From 1f3a29100196d52917e02f6dda26e8db09d2ce24 Mon Sep 17 00:00:00 2001 From: noobpwnftw Date: Wed, 26 Aug 2026 22:22:19 +0800 Subject: [PATCH] Add chess.chesstb: prober for chesstb endgame tablebases chesstb tables store WDL, DTZ, DTC, DTM and DTM50 per endgame material. This adds a pure-Python reader shaped like chess.syzygy: open_tablebase() on a directory tree, then probe() for every value at once, or probe_wdl / probe_dtz / probe_dtc / probe_dtm / probe_dtm50 one at a time. DTZ measures what syzygy's does but is encoded differently: syzygy bases its cursed band off 100, so a magnitude carries the WDL class, while a chesstb DTZ is plain in every class. The format, as read here: one table per material, split by side to move and compressed in blocks (LZMA, or LZ4 with an optional dictionary prefix), positions addressed by a combinatorial index over king symmetry classes and groups of identical pieces. Materials of equal strength share one table, read through a rank-mirrored, colour-swapped view. Two marks keep men out of that index and ride together: 'p' for an opposing pawn pair, and lowercase 'r' for a rook still holding a castling right, indexed jointly with its king. A table may omit one side to move, its values then recovered by one-ply minimax. En passant is applied as a virtual-capture overlay at probe time. DTM50 and DTC ship as changepoint packs -- a value per layer of a stack, with a hint bit for a drawn layer -- so the prober builds the 256-position prefix index and hint bitmap the layout omits. DTM50 layers by halfmove clock; DTC layers by the pushes the winner may still spend and answers (pushes owed, plies to the next zeroing move), so a DTC read decodes a whole record where a DTM50 read takes one layer. Each pack embeds an unbounded table as its first row and so makes it redundant: DTM out of DTM50's, DTZ out of DTC's. Pawnless material ships no pack, every zeroing move there already being a conversion. Tables are memory-mapped and decoded a block at a time, with one shared LRU across every open table. _TableFile._open_source is the single transport seam, so another transport is a subclass per kind and a _find. A Tablebase is safe to share between threads: probes register as readers so close() can wait before unmapping, and opens are double-checked per kind. A position with standing castling rights is not the position the same men make without them, so it is looked up under its rights-bearing material on disk or not, a miss answering tb_not_found. Such a material differs from its plain twin only in case, KrK and KRK, and shares its header material key, so table files are matched on the exact spelling -- os.path.exists folds case on Windows and macOS. Positions are assumed legal, as on the C++ side. Includes docs, tests, and small table sets for seven materials as test data. Co-Authored-By: Claude Opus 5 (1M context) --- README.rst | 25 + chess/chesstb.py | 3871 +++++++++++++++++++++++++++++++ data/chesstb/dtc/KPK.lzdtc | Bin 0 -> 6984 bytes data/chesstb/dtm/KBK.lzdtm | Bin 0 -> 72 bytes data/chesstb/dtm/KBNK.lzdtm | Bin 0 -> 248456 bytes data/chesstb/dtm/KNK.lzdtm | Bin 0 -> 72 bytes data/chesstb/dtm/KPK.lzdtm | Bin 0 -> 7240 bytes data/chesstb/dtm/KQK.lzdtm | Bin 0 -> 3528 bytes data/chesstb/dtm/KRK.lzdtm | Bin 0 -> 4552 bytes data/chesstb/dtm/KRKR.lzdtm | Bin 0 -> 63560 bytes data/chesstb/dtm50/KBK.lzdtm50 | Bin 0 -> 72 bytes data/chesstb/dtm50/KBNK.lzdtm50 | Bin 0 -> 323080 bytes data/chesstb/dtm50/KNK.lzdtm50 | Bin 0 -> 72 bytes data/chesstb/dtm50/KPK.lzdtm50 | Bin 0 -> 15112 bytes data/chesstb/dtm50/KQK.lzdtm50 | Bin 0 -> 4360 bytes data/chesstb/dtm50/KRK.lzdtm50 | Bin 0 -> 5320 bytes data/chesstb/dtm50/KRKR.lzdtm50 | Bin 0 -> 67912 bytes data/chesstb/dtz/KBK.lzdtz | Bin 0 -> 72 bytes data/chesstb/dtz/KBNK.lzdtz | Bin 0 -> 248456 bytes data/chesstb/dtz/KNK.lzdtz | Bin 0 -> 72 bytes data/chesstb/dtz/KPK.lzdtz | Bin 0 -> 2568 bytes data/chesstb/dtz/KQK.lzdtz | Bin 0 -> 3528 bytes data/chesstb/dtz/KRK.lzdtz | Bin 0 -> 4552 bytes data/chesstb/dtz/KRKR.lzdtz | Bin 0 -> 13896 bytes data/chesstb/wdl/KBK.lzw | Bin 0 -> 72 bytes data/chesstb/wdl/KBNK.lzw | Bin 0 -> 10440 bytes data/chesstb/wdl/KNK.lzw | Bin 0 -> 72 bytes data/chesstb/wdl/KPK.lzw | Bin 0 -> 4296 bytes data/chesstb/wdl/KQK.lzw | Bin 0 -> 72 bytes data/chesstb/wdl/KRK.lzw | Bin 0 -> 72 bytes data/chesstb/wdl/KRKR.lzw | Bin 0 -> 97864 bytes docs/chesstb.rst | 78 + docs/index.rst | 1 + test.py | 698 ++++++ 34 files changed, 4673 insertions(+) create mode 100644 chess/chesstb.py create mode 100644 data/chesstb/dtc/KPK.lzdtc create mode 100644 data/chesstb/dtm/KBK.lzdtm create mode 100644 data/chesstb/dtm/KBNK.lzdtm create mode 100644 data/chesstb/dtm/KNK.lzdtm create mode 100644 data/chesstb/dtm/KPK.lzdtm create mode 100644 data/chesstb/dtm/KQK.lzdtm create mode 100644 data/chesstb/dtm/KRK.lzdtm create mode 100644 data/chesstb/dtm/KRKR.lzdtm create mode 100644 data/chesstb/dtm50/KBK.lzdtm50 create mode 100644 data/chesstb/dtm50/KBNK.lzdtm50 create mode 100644 data/chesstb/dtm50/KNK.lzdtm50 create mode 100644 data/chesstb/dtm50/KPK.lzdtm50 create mode 100644 data/chesstb/dtm50/KQK.lzdtm50 create mode 100644 data/chesstb/dtm50/KRK.lzdtm50 create mode 100644 data/chesstb/dtm50/KRKR.lzdtm50 create mode 100644 data/chesstb/dtz/KBK.lzdtz create mode 100644 data/chesstb/dtz/KBNK.lzdtz create mode 100644 data/chesstb/dtz/KNK.lzdtz create mode 100644 data/chesstb/dtz/KPK.lzdtz create mode 100644 data/chesstb/dtz/KQK.lzdtz create mode 100644 data/chesstb/dtz/KRK.lzdtz create mode 100644 data/chesstb/dtz/KRKR.lzdtz create mode 100644 data/chesstb/wdl/KBK.lzw create mode 100644 data/chesstb/wdl/KBNK.lzw create mode 100644 data/chesstb/wdl/KNK.lzw create mode 100644 data/chesstb/wdl/KPK.lzw create mode 100644 data/chesstb/wdl/KQK.lzw create mode 100644 data/chesstb/wdl/KRK.lzw create mode 100644 data/chesstb/wdl/KRKR.lzw create mode 100644 docs/chesstb.rst diff --git a/README.rst b/README.rst index d4d51a128..f6ddabcd9 100644 --- a/README.rst +++ b/README.rst @@ -279,6 +279,31 @@ Features >>> tablebase.close() +* Probe chesstb endgame tablebases (WDL, DTZ, DTC, DTM, DTM50). + `Docs `__. + + .. code:: python + + >>> import chess.chesstb + + >>> tablebase = chess.chesstb.open_tablebase("data/chesstb") + + >>> # White mates in 19 half moves in this KQvK endgame, and the 50-move + >>> # rule does not get in the way of it. + >>> board = chess.Board("8/8/8/5k2/8/8/1Q6/K7 w - - 0 1") + >>> tablebase.probe_dtm(board) + 19 + >>> tablebase.probe_dtm50(board) + 19 + + >>> # DTC prices the pawn pushes a win still owes before it converts: this + >>> # KPvK win spends four of them, the first 23 half moves away. + >>> board = chess.Board("8/8/8/k7/8/8/K4P2/8 w - - 0 1") + >>> tablebase.probe_dtc(board) + (4, 23) + + >>> tablebase.close() + * Communicate with UCI/XBoard engines. Based on ``asyncio``. `Docs `__. diff --git a/chess/chesstb.py b/chess/chesstb.py new file mode 100644 index 000000000..76a0f9a95 --- /dev/null +++ b/chess/chesstb.py @@ -0,0 +1,3871 @@ +"""Pure-Python prober for the *chesstb* endgame tablebase format +(WDL ``.lzw`` / DTZ ``.lzdtz`` / DTC ``.lzdtc`` / DTM ``.lzdtm`` +/ DTM50 ``.lzdtm50``). + +Upstream: https://github.com/noobpwnftw/chesstb + +A re-implementation of the C++ probe library in ``src/probe``, validated against +``tools/probe_fen``. Square numbering matches python-chess (a1=0 .. h8=63) and +the shape follows :mod:`chess.syzygy`: a :class:`Tablebase` opens a directory of +table files and answers WDL / DTZ / DTC / DTM / DTM50 queries. + +Every ``probe_*`` distance is signed from the side to move: ``+N`` toward a win, +``-N`` toward a loss, ``0`` for no decisive result -- a draw, a clock that has +taken the win, or a mate already on the board. :meth:`Tablebase.probe` keeps +every class field explicit for callers wanting the class outright. + +A :class:`Tablebase` is safe to share between threads and probe concurrently: +tables open lazily under a per-kind lock, blocks decode under a per-(color, +block) one, and :meth:`close` waits on a read count before unmapping. +""" +from __future__ import annotations + +import array +import collections +import importlib +import lzma +import mmap +import os +import struct +import threading +from typing import Any, Dict, List, NamedTuple, Optional, Tuple, Type, TypeVar, Union + +import chess + +try: + _lz4_block: Any = importlib.import_module("lz4.block") +except ImportError: + _lz4_block = None + +__all__ = ["Tablebase", "ProbeResult", "MissingTableError", "open_tablebase"] + +WHITE = chess.WHITE +BLACK = chess.BLACK + +KING, QUEEN, ROOK, BISHOP, KNIGHT, PAWN = 1, 2, 3, 4, 5, 6 + +_CPP_TO_PC = {KING: chess.KING, QUEEN: chess.QUEEN, ROOK: chess.ROOK, + BISHOP: chess.BISHOP, KNIGHT: chess.KNIGHT, PAWN: chess.PAWN} +_PC_TO_CPP = {v: k for k, v in _CPP_TO_PC.items()} + +CPP_WHITE, CPP_BLACK = 0, 1 + +#: In-memory key for one material: see :attr:`PieceConfig.cache_key`. A 'p' or +#: 'r' material shares its plain twin's ``min_key``, so the marks join the key. +CacheKey = Tuple[int, bool, int] + +#: One material's key: see :func:`full_material_key`. +MaterialKey = Tuple[int, bool, int] + + +def cpp_color(piece_color: bool) -> int: + return CPP_WHITE if piece_color == WHITE else CPP_BLACK + + +# --- square transforms (src/chess/chess.h tables) --- + +def sq_file(sq: int) -> int: + return sq & 7 + + +def sq_rank(sq: int) -> int: + return sq >> 3 + + +def sq_make(rank: int, file: int) -> int: + return (rank << 3) + file + + +def sq_file_mirror(sq: int) -> int: + return sq_make(sq_rank(sq), 7 - sq_file(sq)) + + +def sq_rank_mirror(sq: int) -> int: + return sq_make(7 - sq_rank(sq), sq_file(sq)) + + +def sq_diag_mirror(sq: int) -> int: + return sq_make(sq_file(sq), sq_rank(sq)) + + +def apply_transform(sq: int, t: int) -> int: + """Symmetry_Transform: bit0=file flip, bit1=rank flip, bit2=diag swap.""" + f = sq_file(sq) + r = sq_rank(sq) + if t & 1: + f = 7 - f + if t & 2: + r = 7 - r + if t & 4: + f, r = r, f + return sq_make(r, f) + + +T_IDENTITY, T_FILE, T_RANK, T_FILE_RANK = 0, 1, 2, 3 +T_DIAG, T_FILE_DIAG, T_RANK_DIAG, T_FILE_RANK_DIAG = 4, 5, 6, 7 + +SYM_NONE = 0 +SYM_FILE_MIRROR = 1 +SYM_DIHEDRAL_8 = 2 + +_ANCHOR_FILE_MIRROR = [sq_make(r, f) for r in range(8) for f in range(4)] # files a-d +_ANCHOR_TRIANGLE = [sq_make(r, f) for r in range(4) for f in range(r, 4)] # a1,b1..d1,b2.. + +# --- Binomial table C(n, k) for n<=64, k<=7. C++ BINOMIAL[k][n] indexing. --- +_BINOM = [[0] * 8 for _ in range(65)] +for _k in range(65): + _BINOM[_k][0] = 1 + for _n in range(1, 8): + _BINOM[_k][_n] = 0 if _n > _k else _BINOM[_k - 1][_n - 1] + _BINOM[_k - 1][_n] + + +def binom(n: int, k: int) -> int: + if k < 0 or k > 7 or n < 0 or n > 64: + return 0 + return _BINOM[n][k] + + +_MAT_WEIGHT = { # (cpp_color, type) -> weight + (CPP_WHITE, QUEEN): 9 ** 4, (CPP_WHITE, ROOK): 9 ** 3, (CPP_WHITE, BISHOP): 9 ** 2, + (CPP_WHITE, KNIGHT): 9 ** 1, (CPP_WHITE, PAWN): 9 ** 0, (CPP_WHITE, KING): 0, + (CPP_BLACK, QUEEN): 9 ** 9, (CPP_BLACK, ROOK): 9 ** 8, (CPP_BLACK, BISHOP): 9 ** 7, + (CPP_BLACK, KNIGHT): 9 ** 6, (CPP_BLACK, PAWN): 9 ** 5, (CPP_BLACK, KING): 0, +} + + +def material_key_of(pieces: List[Tuple[int, int]]) -> int: + return sum(_MAT_WEIGHT[(c, t)] for c, t in pieces) + + +def castling_rook_key(white_rights: int, black_rights: int) -> int: + """A rook holding a right is a man on the board like any other, so it is + counted into the material key -- unlike the pair's pawns, which are one of + each color and so cannot tip the side ordering. Counting them is what makes + KrK order ahead of its mirror KKr.""" + return (white_rights * _MAT_WEIGHT[(CPP_WHITE, ROOK)] + + black_rights * _MAT_WEIGHT[(CPP_BLACK, ROOK)]) + + +def full_material_key(pieces: List[Tuple[int, int]], has_pair: bool = False, + castling_rights: Tuple[int, int] = (0, 0)) -> MaterialKey: + """The whole of Material_Key (src/chess/chess.h): the base-9 count word, + then the pair flag and rights code as tiebreaks. KRKr and KrKR share the + count word and differ only in the code, so compare these whole.""" + w, b = castling_rights + return (material_key_of(pieces) + castling_rook_key(w, b), has_pair, w * 3 + b) + + +# --- Piece_Config: canonical (strength-ordered) piece list, white = stronger side. --- +_STRENGTH = {QUEEN: 900, ROOK: 500, BISHOP: 330, KNIGHT: 320, PAWN: 100, KING: 0} +_TYPE_ORDER = {KING: 0, QUEEN: 1, ROOK: 2, BISHOP: 3, KNIGHT: 4, PAWN: 5} + + +def _composition_key(pieces: List[Tuple[int, int]], color: int) -> List[int]: + """Per-type piece counts for `color`, indexed by C++ type code so that + lexicographic comparison orders by KING, QUEEN, ROOK, BISHOP, KNIGHT, PAWN. + Mirrors the ``std::array`` tiebreak key in + ``Piece_Config::sort_pieces`` (src/chess/piece_config.cpp).""" + counts = [0] * (PAWN + 1) + for c, t in pieces: + if c == color: + counts[t] += 1 + return counts + + +class PieceConfig: + """Canonical material config. `pieces` is a list of (cpp_color, type) of the + FREE pieces. `has_pair` marks an opposing pawn pair (lowercase 'p'): + one white + one black pawn locked on a file, indexed jointly and excluded + from `pieces` (mirrors src/chess/piece_config.h).""" + + __slots__ = ("pieces", "has_pair", "castling_rights", "base_key", "mirr_key", + "mirrored", "has_castling", "castling_code", "min_key", + "cache_key", "num_pieces", "is_bare_kings") + + def __init__(self, pieces: List[Tuple[int, int]], has_pair: bool = False, + castling_rights: Tuple[int, int] = (0, 0)): + cr = list(castling_rights) + ws = sum(_STRENGTH[t] for c, t in pieces if c == CPP_WHITE) + bs = sum(_STRENGTH[t] for c, t in pieces if c == CPP_BLACK) + ws += cr[CPP_WHITE] * _STRENGTH[ROOK] + bs += cr[CPP_BLACK] * _STRENGTH[ROOK] + swap = bs > ws + if bs == ws: + wkey = _composition_key(pieces, CPP_WHITE) + bkey = _composition_key(pieces, CPP_BLACK) + wkey[ROOK] += cr[CPP_WHITE] + bkey[ROOK] += cr[CPP_BLACK] + if wkey != bkey: + swap = bkey > wkey + else: + # Same men both sides: order by which side's rook kept its right. + swap = cr[CPP_WHITE] > cr[CPP_BLACK] + if swap: + pieces = [(CPP_BLACK if c == CPP_WHITE else CPP_WHITE, t) for c, t in pieces] + cr = [cr[CPP_BLACK], cr[CPP_WHITE]] + pieces = sorted(pieces, key=lambda ct: (ct[0], _TYPE_ORDER[ct[1]])) + # Whether the literal material handed in had to swap colors to reach + # this one. A self-mirror material forces equal rights and color-symmetric + # men, which drive `swap` false, so this is exactly `literal != base_key`. + self.mirrored = swap + self.pieces = pieces + self.has_pair = has_pair + self.castling_rights = (cr[0], cr[1]) + self.base_key = full_material_key(pieces, has_pair, (cr[0], cr[1])) + self.mirr_key = full_material_key( + [(CPP_BLACK if c == CPP_WHITE else CPP_WHITE, t) for c, t in pieces], + has_pair, (cr[1], cr[0])) + self.has_castling = cr[CPP_WHITE] + cr[CPP_BLACK] > 0 + # Rights per side, below `min_key` in the ordering: KRKr and KrKR hold + # the same men and differ only in whose rook kept its right. Smaller is + # fewer white rights, matching the key, where white's slots weigh less. + self.castling_code = cr[CPP_WHITE] * 3 + cr[CPP_BLACK] + # The 30-bit count word alone, as the on-disk header carries it. + self.min_key = min(self.base_key, self.mirr_key)[0] + self.cache_key: CacheKey = (self.min_key, has_pair, self.castling_code) + self.num_pieces = len(pieces) + # `num_pieces` counts only FREE pieces, so KpKp sits at 2 while holding + # four -- which is why every "just kings?" test goes through here. + self.is_bare_kings = (self.num_pieces <= 2 and not has_pair + and not self.has_castling) + + def name(self) -> str: + letters = {KING: "K", QUEEN: "Q", ROOK: "R", BISHOP: "B", KNIGHT: "N", PAWN: "P"} + s = [] + seen_white_king = False + # Castling rooks are not in `pieces`, so they go where they would have + # sorted: before the first man of their color that outranks a rook. + written = [0, 0] + + def write_castling_before(order: Tuple[int, int]) -> None: + for cc in (CPP_WHITE, CPP_BLACK): + if written[cc] == self.castling_rights[cc]: + continue + if (cc, _TYPE_ORDER[ROOK]) >= order: + continue + s.append("r" * (self.castling_rights[cc] - written[cc])) + written[cc] = self.castling_rights[cc] + + for c, t in self.pieces: + write_castling_before((c, _TYPE_ORDER[t])) + if t == KING: + if seen_white_king and self.has_pair: + s.append("p") + seen_white_king = True + s.append(letters[t]) + write_castling_before((CPP_BLACK + 1, 0)) + if self.has_pair: + s.append("p") + return "".join(s) + + +_PIECE_CONFIG_CACHE: Dict[Tuple[Tuple[Tuple[int, int], ...], bool, Tuple[int, int]], + PieceConfig] = {} + + +def piece_config(pieces: List[Tuple[int, int]], has_pair: bool = False, + castling_rights: Tuple[int, int] = (0, 0)) -> PieceConfig: + """A :class:`PieceConfig` for this material, built once and shared. Every + quiet move keeps its parent's material, so the derive walks ask for the same + few over and over. Immutable, and building one twice is harmless, so a + racing build needs no lock -- unlike :func:`position_index_config`.""" + key = (tuple(sorted(pieces)), has_pair, castling_rights) + cfg = _PIECE_CONFIG_CACHE.get(key) + if cfg is None: + cfg = PieceConfig(pieces, has_pair, castling_rights) + _PIECE_CONFIG_CACHE[key] = cfg + return cfg + + +def _material_from_board(board: chess.Board, excluded: int = 0) -> List[Tuple[int, int]]: + """The men on `board` as (cpp_color, cpp_type), squares in `excluded` left + out. Only the multiset matters downstream, so this counts bits per mask + rather than walking 64 squares and building a chess.Piece for each.""" + keep = ~excluded + out = [] + for cpp_col, color in ((CPP_WHITE, WHITE), (CPP_BLACK, BLACK)): + for cpp_type, pc_type in _CPP_TO_PC.items(): + n = chess.popcount(board.pieces_mask(pc_type, color) & keep) + if n: + out.extend([(cpp_col, cpp_type)] * n) + return out + + +def piece_config_from_board(board: chess.Board) -> Tuple["PieceConfig", bool]: + """(canonical PieceConfig, mirrored?) for the board's material. Mirrored + means the literal material had to swap colors to reach the canonical base + orientation, white being the stronger side.""" + pieces = _material_from_board(board) + cfg = piece_config(pieces) + return cfg, cfg.mirrored + + +def specialized_config_from_board(board: chess.Board, with_pair: bool + ) -> Optional[Tuple["PieceConfig", bool]]: + """Specialized material for `board`: the physical men, minus the canonical + pair's two pawns when `with_pair` and minus every rook still holding a + right, both recorded as marks instead. None when nothing applies, or when + `with_pair` found no pair. Mirrors specialized_config_from_position. + """ + excluded = 0 + if with_pair: + found = PairGroup.find_canonical(list(board.pieces(chess.PAWN, WHITE)), + list(board.pieces(chess.PAWN, BLACK))) + if found is None: + return None + pw, pb = found + excluded = chess.BB_SQUARES[pw] | chess.BB_SQUARES[pb] + + rights = [0, 0] + for cc in (CPP_WHITE, CPP_BLACK): + color = WHITE if cc == CPP_WHITE else BLACK + rs = board_castling_rooks(board, color) + for r in rs: + excluded |= chess.BB_SQUARES[r] + rights[cc] = len(rs) + + if not with_pair and not rights[CPP_WHITE] and not rights[CPP_BLACK]: + return None + + pieces = _material_from_board(board, excluded) + cfg = piece_config(pieces, with_pair, + (rights[CPP_WHITE], rights[CPP_BLACK])) + return cfg, cfg.mirrored + + +# --- Piece_Class enum (src/chess/piece_config.h) --- +(BLACK_KINGS, BLACK_KNIGHTS, BLACK_BISHOPS, BLACK_ROOKS, BLACK_QUEENS, BLACK_PAWNS, + WHITE_KINGS, WHITE_KNIGHTS, WHITE_BISHOPS, WHITE_ROOKS, WHITE_QUEENS, WHITE_PAWNS) = range(12) +PIECE_CLASS_NB = 12 + +_PTCLASS = {KING: 0, KNIGHT: 1, BISHOP: 2, ROOK: 3, QUEEN: 4, PAWN: 5} + + +def make_piece_class(cpp_col: int, ptype: int) -> int: + base = WHITE_KINGS if cpp_col == CPP_WHITE else BLACK_KINGS + return base + _PTCLASS[ptype] + + +def class_to_piece(pcl: int) -> Tuple[int, int]: + cpp_col = CPP_WHITE if pcl >= WHITE_KINGS else CPP_BLACK + off = pcl - (WHITE_KINGS if cpp_col == CPP_WHITE else BLACK_KINGS) + inv = {0: KING, 1: KNIGHT, 2: BISHOP, 3: ROOK, 4: QUEEN, 5: PAWN} + return cpp_col, inv[off] + + +class PieceGroup: + def __init__(self, ptype: int, count: int): + self.count = count + if ptype == PAWN: + legal = list(range(chess.A2, chess.H7 + 1)) # 8..55 + else: + legal = list(range(64)) + legal.sort() + self.pos_to_sq = legal + self.sq_to_pos = {sq: i for i, sq in enumerate(legal)} + self.num_legal = len(legal) + self.table_size = binom(self.num_legal, count) + + def compound_index(self, squares: List[int]) -> int: + sqs = sorted(squares) + rank = 0 + for i, sq in enumerate(sqs): + p = self.sq_to_pos[sq] + rank += binom(p, i + 1) + return rank + + def squares(self, idx: int) -> List[int]: + pos = [0] * self.count + rank = idx + hi = self.num_legal + for k in range(self.count, 0, -1): + p = hi - 1 + while binom(p, k) > rank: + p -= 1 + pos[k - 1] = p + rank -= binom(p, k) + hi = p + return [self.pos_to_sq[p] for p in pos] + + +# --- King_Slice_Manager: built once per symmetry group. --- +def _king_attacks(sq: int) -> List[int]: + f, r = sq_file(sq), sq_rank(sq) + out = [] + for df in (-1, 0, 1): + for dr in (-1, 0, 1): + if df == 0 and dr == 0: + continue + nf, nr = f + df, r + dr + if 0 <= nf < 8 and 0 <= nr < 8: + out.append(sq_make(nr, nf)) + return out + + +def _kings_adjacent(a: int, b: int) -> bool: + return b in _king_attacks(a) + + +def _sq_on_main_diag(sq: int) -> bool: + return sq_file(sq) == sq_rank(sq) + + +class KingSliceManager: + def __init__(self, sym: int): + assert sym in (SYM_FILE_MIRROR, SYM_DIHEDRAL_8), sym + self.sym = sym + n_trans = 8 if sym == SYM_DIHEDRAL_8 else 2 + anchors = _ANCHOR_TRIANGLE if sym == SYM_DIHEDRAL_8 else _ANCHOR_FILE_MIRROR + anchor_set = set(anchors) + SLICE_NONE = -1 + self.pair: List[List[int]] = [[SLICE_NONE, T_IDENTITY, 0] for _ in range(64 * 64)] + self.kings_of_slice: List[Tuple[int, int]] = [] + + for wk in range(64): + if wk not in anchor_set: + continue + for bk in range(64): + if bk == wk or _kings_adjacent(wk, bk): + continue + if sym == SYM_DIHEDRAL_8 and _sq_on_main_diag(wk): + bk_d = sq_diag_mirror(bk) + if bk_d != bk and bk > bk_d: + continue + sid = len(self.kings_of_slice) + self.kings_of_slice.append((wk, bk)) + stab = 1 if (sym == SYM_DIHEDRAL_8 and _sq_on_main_diag(wk) + and _sq_on_main_diag(bk)) else 0 + self.pair[wk * 64 + bk] = [sid, T_IDENTITY, stab] + self.num_slices = len(self.kings_of_slice) + + for wk in range(64): + for bk in range(64): + e = self.pair[wk * 64 + bk] + if e[0] != SLICE_NONE: + continue + if wk == bk or _kings_adjacent(wk, bk): + continue + for t in range(n_trans): + wk_t = apply_transform(wk, t) + bk_t = apply_transform(bk, t) + look = self.pair[wk_t * 64 + bk_t] + if look[0] != -1 and look[1] == T_IDENTITY: + e[0] = look[0] + e[1] = t + e[2] = look[2] + break + + def lookup(self, wk: int, bk: int) -> List[int]: + return self.pair[wk * 64 + bk] + + +class CastlingKingSliceManager: + """King slices for a castling material: (Castling_Group placement, free king + square), carrying the rook squares alongside, or the placement alone when + both sides hold rights. The enumeration MUST match King_Slice_Manager's + castling constructor in src/egtb/king_slice_manager.cpp -- the slice ids are + on disk.""" + + def __init__(self, white_rights: int, black_rights: int): + self.sym = SYM_NONE + self.rights = (white_rights, black_rights) + self.group = CastlingGroup(white_rights, black_rights) + self.both_pinned = self.group.both_pinned + self.kings_of_slice: List[Tuple[int, int]] = [] + self.rooks_of_slice: List[Tuple[List[int], List[int]]] = [] + self._lookup: Dict[Tuple[int, int], int] = {} + + for ci in range(self.group.table_size): + pinned = set() + king_sq = [-1, -1] + rooks: Tuple[List[int], List[int]] = ([], []) + for cc in (CPP_WHITE, CPP_BLACK): + if not self.rights[cc]: + continue + kf, rfs = self.group.placement(ci, cc) + rank = castling_home_rank(cc) + king_sq[cc] = sq_make(rank, kf) + pinned.add(king_sq[cc]) + for rf in rfs: + r = sq_make(rank, rf) + rooks[cc].append(r) + pinned.add(r) + + def emit(wk: int, bk: int, slot: int) -> None: + self._lookup[(ci, slot)] = len(self.kings_of_slice) + self.kings_of_slice.append((wk, bk)) + self.rooks_of_slice.append((list(rooks[CPP_WHITE]), list(rooks[CPP_BLACK]))) + + if self.both_pinned: + emit(king_sq[CPP_WHITE], king_sq[CPP_BLACK], 0) + continue + pinned_col = CPP_WHITE if self.rights[CPP_WHITE] else CPP_BLACK + ksq = king_sq[pinned_col] + for fk in range(64): + if fk in pinned or _kings_adjacent(ksq, fk): + continue + emit(ksq if pinned_col == CPP_WHITE else fk, + fk if pinned_col == CPP_WHITE else ksq, + fk) + self.num_slices = len(self.kings_of_slice) + + def slice_of(self, wk: int, bk: int, + w_rooks: List[int], b_rooks: List[int]) -> int: + king_sq = (wk, bk) + rooks = (w_rooks, b_rooks) + files: List[Tuple[int, ...]] = [(), ()] + kfile = [-1, -1] + for cc in (CPP_WHITE, CPP_BLACK): + if len(rooks[cc]) != self.rights[cc]: + return -1 + if not self.rights[cc]: + continue + rank = castling_home_rank(cc) + if sq_rank(king_sq[cc]) != rank: + return -1 + kfile[cc] = sq_file(king_sq[cc]) + for r in rooks[cc]: + if sq_rank(r) != rank: + return -1 + files[cc] = tuple(sorted(sq_file(r) for r in rooks[cc])) + + ci = self.group.index_of(kfile[CPP_WHITE], files[CPP_WHITE], + kfile[CPP_BLACK], files[CPP_BLACK]) + if ci < 0: + return -1 + slot = 0 if self.both_pinned else king_sq[ + CPP_WHITE if not self.rights[CPP_WHITE] else CPP_BLACK] + return self._lookup.get((ci, slot), -1) + + +_CASTLE_KSM_CACHE: Dict[Tuple[int, int], CastlingKingSliceManager] = {} + + +def castling_king_slice_mgr(white_rights: int, black_rights: int) -> CastlingKingSliceManager: + key = (white_rights, black_rights) + ksm = _CASTLE_KSM_CACHE.get(key) + if ksm is not None: + return ksm + with _KSM_LOCK: + ksm = _CASTLE_KSM_CACHE.get(key) + if ksm is None: + ksm = CastlingKingSliceManager(white_rights, black_rights) + _CASTLE_KSM_CACHE[key] = ksm + return ksm + + +_KSM_CACHE: Dict[int, KingSliceManager] = {} +# Building a manager walks 64x64 placements over up to 8 transforms, so two +# threads must not both do it. Double-checked, and the entry is published only +# after __init__ returns, so a half-built manager is never visible. +_KSM_LOCK = threading.Lock() + + +def king_slice_mgr(sym: int) -> KingSliceManager: + ksm = _KSM_CACHE.get(sym) + if ksm is not None: + return ksm + with _KSM_LOCK: + ksm = _KSM_CACHE.get(sym) + if ksm is None: + ksm = KingSliceManager(sym) + _KSM_CACHE[sym] = ksm + return ksm + + +# --- Castling_Group (src/chess/castling_group.h) --- +class CastlingGroup: + """Joint placement of the men standing rights pin: each unmoved king and the + rooks it could still castle with, on whichever files the game started from. + 56 placements per side, the joint dimension their product. The enumeration + order MUST match src/chess/castling_group.h -- stored king slice ids are + built from it.""" + + MAX_RIGHTS = 2 + _SIDE_CACHE: Dict[int, List[Tuple[int, Tuple[int, ...]]]] = {} + + @staticmethod + def _side_placements(num_rights: int) -> List[Tuple[int, Tuple[int, ...]]]: + cached = CastlingGroup._SIDE_CACHE.get(num_rights) + if cached is not None: + return cached + out: List[Tuple[int, Tuple[int, ...]]] = [] + if num_rights: + for k in range(8): + if num_rights == 1: + for r in range(8): + if r != k: + out.append((k, (r,))) + else: + for lo in range(k): + for hi in range(k + 1, 8): + out.append((k, (lo, hi))) + CastlingGroup._SIDE_CACHE[num_rights] = out + return out + + def __init__(self, white_rights: int, black_rights: int): + self.rights = (white_rights, black_rights) + self.side = (self._side_placements(white_rights), + self._side_placements(black_rights)) + self.b_span = max(len(self.side[CPP_BLACK]), 1) + self.table_size = max(len(self.side[CPP_WHITE]), 1) * self.b_span + self.both_pinned = white_rights > 0 and black_rights > 0 + self._inverse: Dict[Tuple[int, Tuple[int, ...], int, Tuple[int, ...]], int] = {} + for i in range(self.table_size): + self._inverse[self._key(i)] = i + + def _key(self, idx: int) -> Tuple[int, Tuple[int, ...], int, Tuple[int, ...]]: + w = self.side[CPP_WHITE][idx // self.b_span] if self.rights[CPP_WHITE] else (-1, ()) + b = self.side[CPP_BLACK][idx % self.b_span] if self.rights[CPP_BLACK] else (-1, ()) + return (w[0], w[1], b[0], b[1]) + + def placement(self, idx: int, cpp_col: int) -> Tuple[int, Tuple[int, ...]]: + within = idx // self.b_span if cpp_col == CPP_WHITE else idx % self.b_span + return self.side[cpp_col][within] + + def index_of(self, w_king: int, w_rooks: Tuple[int, ...], + b_king: int, b_rooks: Tuple[int, ...]) -> int: + key = (w_king if self.rights[CPP_WHITE] else -1, + tuple(sorted(w_rooks)) if self.rights[CPP_WHITE] else (), + b_king if self.rights[CPP_BLACK] else -1, + tuple(sorted(b_rooks)) if self.rights[CPP_BLACK] else ()) + return self._inverse.get(key, -1) + + +def castling_home_rank(cpp_col: int) -> int: + return 0 if cpp_col == CPP_WHITE else 7 + + +def board_castling_rooks(board: chess.Board, color: bool) -> List[int]: + """Squares of `color`'s rooks that still hold a right, ascending by file. + python-chess stores the rights as a bitboard of exactly those rooks -- but + the raw field can name squares no rook stands on, or two rights on one side + of the king. Those are not table dimensions, so read the cleaned set.""" + return sorted(chess.SquareSet(board.clean_castling_rights() + & board.occupied_co[color])) + + +# --- Pawn_Slice_Manager --- +class PairGroup: + """Opposing pawn pair (lowercase 'p'): white pawn on rank r, black on rank s, + r < s, same file. Enumeration / index_of / find_canonical must match + src/egtb/pair_group.h exactly -- the on-disk pawn-slice ids depend on them. + White ranks 2..6, black 3..7: C(6,2)=15 rank pairs x 8 files = 120.""" + + def __init__(self) -> None: + self.white: List[int] = [] + self.black: List[int] = [] + self._inv: Dict[Tuple[int, int], int] = {} + for f in range(8): + for wr in range(1, 6): # ranks 2..6 + for br in range(wr + 1, 7): # ranks 3..7 + w = sq_make(wr, f) + b = sq_make(br, f) + self._inv[(w, b)] = len(self.white) + self.white.append(w) + self.black.append(b) + + @property + def table_size(self) -> int: + return len(self.white) + + def white_square(self, i: int) -> int: + return self.white[i] + + def black_square(self, i: int) -> int: + return self.black[i] + + def index_of(self, w: int, b: int) -> int: + return self._inv[(w, b)] + + @staticmethod + def is_opposing_pair(w: int, b: int) -> bool: + return (sq_file(w) == sq_file(b) + and sq_rank(w) >= 1 and sq_rank(b) <= 6 + and sq_rank(w) < sq_rank(b)) + + @staticmethod + def find_canonical(white_sqs: List[int], black_sqs: List[int] + ) -> Optional[Tuple[int, int]]: + """The opposing pair minimal by (file, white_rank, black_rank), or None. + Both the generator's prune and this lookup use this one rule.""" + best: Optional[Tuple[Tuple[int, int, int], int, int]] = None + for w in white_sqs: + for b in black_sqs: + if not PairGroup.is_opposing_pair(w, b): + continue + key = (sq_file(w), sq_rank(w), sq_rank(b)) + if best is None or key < best[0]: + best = (key, w, b) + return None if best is None else (best[1], best[2]) + + @staticmethod + def canonical_pair(white_sqs: List[int], black_sqs: List[int]) -> Tuple[int, int]: + """For callers that know an opposing pair is present (indexing a stored + pair-table position): the canonical pair, asserting one exists.""" + found = PairGroup.find_canonical(white_sqs, black_sqs) + assert found is not None + return found + + +class PawnSliceManager: + def __init__(self, pair_group: Optional[PairGroup], + white_group: Optional[PieceGroup], black_group: Optional[PieceGroup]): + self.pair_group = pair_group + self.white_group = white_group + self.black_group = black_group + self.has_pawns = (pair_group is not None + or white_group is not None or black_group is not None) + self.pair_table_size = pair_group.table_size if pair_group else 1 + self.white_table_size = white_group.table_size if white_group else 1 + self.black_table_size = black_group.table_size if black_group else 1 + n_cart = self.pair_table_size * self.white_table_size * self.black_table_size + + def occupancies(g: Optional[PieceGroup]) -> Tuple[List[List[int]], List[int]]: + if g is None: + return [[]], [0] + sqs = [g.squares(i) for i in range(g.table_size)] + masks = [] + for pl in sqs: + m = 0 + for s in pl: + m |= 1 << s + masks.append(m) + return sqs, masks + + white_sqs, white_masks = occupancies(white_group) + black_sqs, black_masks = occupancies(black_group) + if pair_group: + pair_masks = [(1 << pair_group.white_square(p)) | (1 << pair_group.black_square(p)) + for p in range(self.pair_table_size)] + else: + pair_masks = [0] + + self._survivor_bits = bytearray((n_cart + 7) // 8) + rank_before = array.array("q", bytes(8 * ((n_cart + 63) // 64))) + + num_slices = 0 + cart = 0 + for b_idx in range(self.black_table_size): + b_mask = black_masks[b_idx] + for w_idx in range(self.white_table_size): + if white_masks[w_idx] & b_mask: + cart += self.pair_table_size + continue + free_mask = white_masks[w_idx] | b_mask + for pair_idx in range(self.pair_table_size): + if pair_masks[pair_idx] & free_mask: + cart += 1 + continue + if pair_group: + pair_w = pair_group.white_square(pair_idx) + pair_b = pair_group.black_square(pair_idx) + cw, cb = PairGroup.canonical_pair( + [pair_w] + white_sqs[w_idx], [pair_b] + black_sqs[b_idx]) + if cw != pair_w or cb != pair_b: + cart += 1 + continue + self._survivor_bits[cart >> 3] |= 1 << (cart & 7) + num_slices += 1 + cart += 1 + assert cart == n_cart + self.num_slices = num_slices + + running = 0 + for blk in range(len(rank_before)): + rank_before[blk] = running + running += chess.popcount(int.from_bytes( + self._survivor_bits[blk * 8:blk * 8 + 8], "little")) + assert running == num_slices + self._rank_before_block = rank_before + + def compose(self, pair_idx: int, w_idx: int, b_idx: int) -> int: + if not self.has_pawns: + return 0 + cart = (pair_idx + + w_idx * self.pair_table_size + + b_idx * self.pair_table_size * self.white_table_size) + blk, off = divmod(cart, 64) + word = int.from_bytes(self._survivor_bits[blk * 8:blk * 8 + 8], "little") + assert word & (1 << off) + return self._rank_before_block[blk] + chess.popcount(word & ((1 << off) - 1)) + + def lookup_from_squares(self, pair_w: int, pair_b: int, + white_pawn_sqs: List[int], black_pawn_sqs: List[int]) -> int: + if not self.has_pawns: + return 0 + pair_idx = self.pair_group.index_of(pair_w, pair_b) if self.pair_group else 0 + w_idx = self.white_group.compound_index(white_pawn_sqs) if self.white_group else 0 + b_idx = self.black_group.compound_index(black_pawn_sqs) if self.black_group else 0 + return self.compose(pair_idx, w_idx, b_idx) + + +# --- Index permutation (src/chess/index_permutation.h) --- +_FACT = [1, 1, 2, 6, 24, 120, 720, 5040, 40320] + + +def index_permutation_valid(n_classes: int, perm: int) -> bool: + return n_classes <= 8 and perm < _FACT[n_classes] + + +def storage_within_class_order(populated: List[int], perm: int) -> List[int]: + n = len(populated) + available = list(populated) + order = [] + idx = perm + for i in range(n): + f = _FACT[n - 1 - i] + pick = idx // f + idx %= f + order.append(available[pick]) + del available[pick] + return order + + +# --- Position_Index_Config --- +class PositionIndexConfig: + def __init__(self, cfg: PieceConfig): + self.cfg = cfg + counts: Dict[Tuple[int, int], int] = {} + for c, t in cfg.pieces: + counts[(c, t)] = counts.get((c, t), 0) + 1 + has_pawns = (counts.get((CPP_WHITE, PAWN), 0) > 0 + or counts.get((CPP_BLACK, PAWN), 0) > 0 or cfg.has_pair) + self.ksm: Union[KingSliceManager, CastlingKingSliceManager] + if cfg.has_castling: + self.sym = SYM_NONE + self.ksm = castling_king_slice_mgr(cfg.castling_rights[CPP_WHITE], + cfg.castling_rights[CPP_BLACK]) + else: + self.sym = SYM_FILE_MIRROR if has_pawns else SYM_DIHEDRAL_8 + self.ksm = king_slice_mgr(self.sym) + + self.groups: Dict[int, PieceGroup] = {} + for c in (CPP_WHITE, CPP_BLACK): + for t in (QUEEN, ROOK, BISHOP, KNIGHT, PAWN): + n = counts.get((c, t), 0) + if n == 0: + continue + pcl = make_piece_class(c, t) + self.groups[pcl] = PieceGroup(t, n) + + self.pair_group = PairGroup() if cfg.has_pair else None + self.psm = PawnSliceManager(self.pair_group, + self.groups.get(WHITE_PAWNS), self.groups.get(BLACK_PAWNS)) + self.num_pawn_slices = self.psm.num_slices + + self.populated: List[int] = [] + self.weights: Dict[int, int] = {} + w = 1 + for i in range(PIECE_CLASS_NB): + if i not in self.groups: + continue + if i == WHITE_PAWNS or i == BLACK_PAWNS: + continue + self.populated.append(i) + self.weights[i] = w + w *= self.groups[i].table_size + self.within_slice_size = w + self.num_king_slices = self.ksm.num_slices + self.pawn_slice_stride = self.num_king_slices * self.within_slice_size + self.num_positions = self.num_pawn_slices * self.pawn_slice_stride + + def num_populated_classes(self) -> int: + return len(self.populated) + + def make_layout(self, perm: int) -> Tuple[List[int], List[int]]: + order = storage_within_class_order(self.populated, perm) + radix = [self.groups[c].table_size for c in order] + return order, radix + + # --- canonicalization + indexing --- + def _placements_from_board(self, board: chess.Board) -> Dict[int, List[int]]: + pl: Dict[int, List[int]] = {c: [] for c in range(PIECE_CLASS_NB)} + wk, bk = board.king(WHITE), board.king(BLACK) + assert wk is not None and bk is not None # tablebase positions have both kings + pl[WHITE_KINGS] = [wk] + pl[BLACK_KINGS] = [bk] + # A rook holding a right rides in the king slice, so it is lifted out + # of its color's rook class. + castling_rooks = set() + if self.cfg.has_castling: + for cc in (CPP_WHITE, CPP_BLACK): + color = WHITE if cc == CPP_WHITE else BLACK + castling_rooks.update(board_castling_rooks(board, color)) + for c in self.populated: + cc, tt = class_to_piece(c) + color = WHITE if cc == CPP_WHITE else BLACK + sqs = list(board.pieces(_CPP_TO_PC[tt], color)) + if tt == ROOK and castling_rooks: + sqs = [s for s in sqs if s not in castling_rooks] + pl[c] = sqs + for c in (WHITE_PAWNS, BLACK_PAWNS): + if c in self.groups or self.pair_group is not None: + color = WHITE if c == WHITE_PAWNS else BLACK + pl[c] = list(board.pieces(chess.PAWN, color)) + return pl + + def _canonicalize(self, pl: Dict[int, List[int]]) -> bool: + # Nothing folds under SYM_NONE: the right tells orientations apart. + if isinstance(self.ksm, CastlingKingSliceManager): + return True + wk = pl[WHITE_KINGS][0] + bk = pl[BLACK_KINGS][0] + look = self.ksm.lookup(wk, bk) + if look[0] == -1: + return False + t = look[1] + if t != T_IDENTITY: + for c in range(PIECE_CLASS_NB): + if pl[c]: + pl[c] = [apply_transform(s, t) for s in pl[c]] + if look[2]: # diagonal stabilizer tie-break (non-pawn populated only) + cur = alt = 0 + for c in self.populated: + g = self.groups[c] + cur += self.weights[c] * g.compound_index(pl[c]) + alt += self.weights[c] * g.compound_index([sq_diag_mirror(s) for s in pl[c]]) + if alt < cur: + for c in self.populated: + pl[c] = [sq_diag_mirror(s) for s in pl[c]] + return True + + def board_index(self, board: chess.Board, order: List[int], radix: List[int]) -> Optional[int]: + pl = self._placements_from_board(board) + if not self._canonicalize(pl): + return None + wk = pl[WHITE_KINGS][0] + bk = pl[BLACK_KINGS][0] + if isinstance(self.ksm, CastlingKingSliceManager): + # A castling slice is keyed by the pinned rooks too. + ksid = self.ksm.slice_of(wk, bk, + board_castling_rooks(board, WHITE), + board_castling_rooks(board, BLACK)) + else: + ksid = self.ksm.lookup(wk, bk)[0] + if ksid == -1: + return None + pawn_slice = 0 + if self.psm.has_pawns: + w_pl, b_pl = pl[WHITE_PAWNS], pl[BLACK_PAWNS] + if self.pair_group is not None: + pw, pb = PairGroup.canonical_pair(w_pl, b_pl) + free_w = [s for s in w_pl if s != pw] + free_b = [s for s in b_pl if s != pb] + else: + pw = pb = -1 + free_w, free_b = w_pl, b_pl + pawn_slice = self.psm.lookup_from_squares(pw, pb, free_w, free_b) + within_idx = {c: self.groups[c].compound_index(pl[c]) for c in self.populated} + within = 0 + w = 1 + for i in range(len(order)): + within += w * within_idx[order[i]] + w *= radix[i] + outer = pawn_slice * self.pawn_slice_stride + ksid * self.within_slice_size + return outer + within + + +_INDEX_CFG_CACHE: Dict[CacheKey, PositionIndexConfig] = {} +# As for _KSM_LOCK: enumerating pawn slices is worth doing once, and a config is +# immutable once built. Lock order _INDEX_CFG_LOCK -> _KSM_LOCK, never reversed. +_INDEX_CFG_LOCK = threading.Lock() + + +def position_index_config(cfg: PieceConfig) -> PositionIndexConfig: + k = cfg.cache_key + icfg = _INDEX_CFG_CACHE.get(k) + if icfg is not None: + return icfg + with _INDEX_CFG_LOCK: + icfg = _INDEX_CFG_CACHE.get(k) + if icfg is None: + icfg = PositionIndexConfig(cfg) + _INDEX_CFG_CACHE[k] = icfg + return icfg + + +# === On-disk file framing (src/util/memory.h, mono_uint_vec.h, egtb_format.h) === + +WDL_MAGIC, DTZ_MAGIC, DTC_MAGIC, DTM_MAGIC, DTM50_MAGIC = ( + 0x9bd1e3a6, 0x2ec8b161, 0x2ec8b17e, 0xab57c134, 0xab57c151) +SINGULAR_FLAG = 0x80 +DROPPED_FLAG = 0x40 +LOSS_ONLY_FLAG = 0x20 +RELAXED_FLAG = 0x10 +MAX_NON_CURSED_DTZ = 100 +DTM50_HMC_COUNT = 100 +DTM50_PACK_LAYERS = 101 +# An 8-man winner has at most six pawns with five non-converting pushes each, so +# at most 30 changepoints; for clean W/L the terminal one is exactly DTZ, so 29 +# are solved and that endpoint is embedded at row 0. +DTC_BUDGET_LAYERS = 29 +DTC_PACK_LAYERS = 30 + + +def layered_bitmap_bytes(layers: int) -> int: + """Width of a MULTI record's changepoint bitmap for a stack of `layers`: + whole 32-bit words, so DTC's 30 layers take 4 bytes and DTM50's 101 take 16.""" + return ((layers + 31) // 32) * 4 + + +DTM50_MULTI_BITMAP_BYTES = layered_bitmap_bytes(DTM50_PACK_LAYERS) +DTC_MULTI_BITMAP_BYTES = layered_bitmap_bytes(DTC_PACK_LAYERS) + +IGNORE_50MR = -1 # sentinel (C++ uses ~0u) + +LOSE, BLESSED_LOSS, DRAW, CURSED_WIN, WIN, ILLEGAL = 0, 1, 2, 3, 4, 7 + + +def wdl_from_storage(s: int) -> int: + if s == 6: # BOUNDARY_WIN + return WIN + if s == 5: # BOUNDARY_LOSS + return LOSE + return s + + +class _Serial: + """Sequential little-endian reader over a table's buffer, mirroring + Serial_Memory_Reader. Multi-byte reads materialize the few bytes they need + rather than ``unpack_from``, which would demand the buffer protocol. + Nothing derived from the buffer outlives parsing.""" + + def __init__(self, data: Any): + self.d = data + self.pos = 0 + + def u8(self) -> int: + v = int(self.d[self.pos]) + self.pos += 1 + return v + + def _le(self, size: int) -> int: + v = int.from_bytes(bytes(self.d[self.pos:self.pos + size]), "little") + self.pos += size + return v + + def u16(self) -> int: + return self._le(2) + + def u32(self) -> int: + return self._le(4) + + def u64(self) -> int: + return self._le(8) + + def advance(self, n: int) -> None: + self.pos += n + + def caret(self) -> int: + return self.pos + + def align(self, alignment: int) -> None: + mis = self.pos % alignment + if mis: + self.pos += alignment - mis + + +def _ceil_div(a: int, b: int) -> int: + return (a + b - 1) // b + + +_U64LE = struct.Struct(" int: + """The 8 bytes at `offset`, little-endian: the hottest read in a probe, so + it avoids the throwaway slice ``int.from_bytes`` would build. Near the end + of a mapping fewer than 8 remain, which ``unpack_from`` rejects and the + slicing form tolerates -- as does a buffer that is not a memoryview.""" + if isinstance(buf, memoryview): + try: + return _U64LE.unpack_from(buf, offset)[0] # type: ignore[no-any-return] + except struct.error: + return int.from_bytes(buf[offset:offset + 8], "little") + return int.from_bytes(bytes(buf[offset:offset + 8]), "little") + + +def _compressed_block(chunk: Any) -> Any: + """One compressed block as the decoders want it: slicing a memoryview + already gives that, any other buffer (:meth:`_TableFile._open_source`) + materializes here -- a block being the widest span a probe asks for.""" + if isinstance(chunk, (bytes, bytearray, memoryview)): + return chunk + return bytes(chunk) + + +class MonoUintVec: + """Block-sampled delta coder for a monotone uint64 sequence. + + Addressed as `base` plus a bit offset into the table's buffer, not as a + slice of it: no span wider than one read is taken + (:meth:`_TableFile._open_source`).""" + + def __init__(self, blob: Any, base: int, num_values: int, log2_bu: int, + sample_width: int, offset_width: int): + self.blob = blob + self.base = base + self.num_values = num_values + self.log2_bu = log2_bu + self.sample_width = sample_width + self.offset_width = offset_width + num_samples = _ceil_div(num_values, 1 << log2_bu) + self.delta_off = _ceil_div(num_samples * sample_width, 8) + + @staticmethod + def on_disk_bytes(num_values: int, log2_bu: int, sample_width: int, offset_width: int) -> int: + num_samples = _ceil_div(num_values, 1 << log2_bu) + return (_ceil_div(num_samples * sample_width, 8) + + _ceil_div(num_values * offset_width, 8)) + + def _read_bits(self, base_off: int, bitpos: int, width: int) -> int: + if width == 0: + return 0 + byte = self.base + base_off + (bitpos >> 3) + bit = bitpos & 7 + lo = _read_u64le(self.blob, byte) + v = lo >> bit + if bit + width > 64: + hi = _read_u64le(self.blob, byte + 8) + v |= hi << (64 - bit) + mask = (1 << width) - 1 if width < 64 else (1 << 64) - 1 + return v & mask + + def get(self, i: int) -> int: + sb = i >> self.log2_bu + base = self._read_bits(0, sb * self.sample_width, self.sample_width) + delta = self._read_bits(self.delta_off, i * self.offset_width, self.offset_width) + return base + delta + + def get2(self, i: int) -> Tuple[int, int]: + return (self.get(i), self.get(i + 1)) + + +class Min0UintVec: + + def __init__(self, data: Any, base: int, size: int, width: int): + self.data = data + self.base = base + self.size = size + self.width = width + + @staticmethod + def on_disk_bytes(size: int, width: int) -> int: + return _ceil_div(size * width, 8) + + def get(self, i: int) -> int: + if self.width == 0: + return 0 + bitpos = i * self.width + byte = self.base + (bitpos >> 3) + bit = bitpos & 7 + lo = _read_u64le(self.data, byte) + v = lo >> bit + if bit + self.width > 64: + hi = _read_u64le(self.data, byte + 8) + v |= hi << (64 - bit) + mask = (1 << self.width) - 1 + return v & mask + + +# --- LZ4 block decompression with optional dictionary prefix --- + +def lz4_decompress_block(src: memoryview, expected_size: int, dict_bytes: bytes = b"") -> bytes: + """Decompress an LZ4 *block* (not frame). A dictionary, if given, logically + precedes the output. Handed to `python-lz4 `_ + where installed -- the same C library that wrote the tables, and it releases + the GIL -- else to :func:`lz4_decompress_block_python`.""" + if _lz4_block is not None: + return bytes(_lz4_block.decompress(src, uncompressed_size=expected_size, + dict=dict_bytes or None)) + return lz4_decompress_block_python(src, expected_size, dict_bytes) + + +def lz4_decompress_block_python(src: memoryview, expected_size: int, + dict_bytes: bytes = b"") -> bytes: + out = bytearray(dict_bytes) + base = len(dict_bytes) + si = 0 + n = len(src) + while si < n: + token = src[si] + si += 1 + lit_len = token >> 4 + if lit_len == 15: + while True: + b = src[si] + si += 1 + lit_len += b + if b != 255: + break + out += src[si:si + lit_len] + si += lit_len + if si >= n: + break + offset = src[si] | (src[si + 1] << 8) + si += 2 + match_len = (token & 0xF) + 4 + if (token & 0xF) == 15: + while True: + b = src[si] + si += 1 + match_len += b + if b != 255: + break + start = len(out) - offset + for j in range(match_len): + out.append(out[start + j]) + result = bytes(out[base:]) + if len(result) != expected_size: + raise ValueError(f"LZ4 size mismatch: got {len(result)} expected {expected_size}") + return result + + +# === Decoded-block cache === + +#: Default soft budget (bytes) for decoded blocks held resident across all +#: tables of a :class:`Tablebase`. The cache evicts least-recently-used blocks +#: once the budget is exceeded, so memory is reclaimed automatically without an +#: explicit :meth:`Tablebase.close`. +DEFAULT_BLOCK_CACHE_BYTES = 64 * 1024 * 1024 + + +class _PerColor: + """State for one color's frame of one table: the decoded-block dict plus + the locks guarding decodes into it. Everything else here is written once + during construction, before any other thread can reach the table, and + read-only after; ``_blocks`` is the exception probes fill as they go. + """ + + __slots__ = ("_blocks", "_block_locks", "_meta_lock") + + _blocks: Dict[int, Any] + + def __init__(self) -> None: + self._blocks = {} + # One lock per block id, not one per color, and lzma releases the GIL, + # so two cold-block decodes really do run in parallel. + self._block_locks: Dict[int, threading.Lock] = {} + self._meta_lock = threading.Lock() + + def lock_for(self, block_id: int) -> threading.Lock: + lk = self._block_locks.get(block_id) + if lk is not None: + return lk + with self._meta_lock: + lk = self._block_locks.get(block_id) + if lk is None: + lk = threading.Lock() + self._block_locks[block_id] = lk + return lk + + +class _BlockCache: + """LRU reclaimer shared by every table of a :class:`Tablebase`. Tracks the + per-color ``_blocks`` entries in one least-recently-used order and, once the + resident estimate exceeds ``max_bytes``, drops the oldest from their owning + dict. Sizes are approximate; the budget is a soft target. + """ + + def __init__(self, max_bytes: int) -> None: + self.max_bytes = max_bytes + self.cur_bytes = 0 + self._lru: "collections.OrderedDict[Tuple[Any, int], int]" = collections.OrderedDict() + self._lock = threading.Lock() + + def touch(self, pc: Any, block_id: int) -> None: + key = (pc, block_id) + with self._lock: + if key in self._lru: + self._lru.move_to_end(key) + + def record(self, pc: _PerColor, block_id: int, size: int) -> None: + """Register a freshly decoded block and evict until within budget. + Re-recording a tracked block subtracts the old size first, so two + concurrent decoders cannot skew the running total. + """ + key = (pc, block_id) + with self._lock: + old = self._lru.pop(key, None) + if old is not None: + self.cur_bytes -= old + self._lru[key] = size + self.cur_bytes += size + while self.cur_bytes > self.max_bytes and len(self._lru) > 1: + (ev_pc, ev_id), ev_size = self._lru.popitem(last=False) + self.cur_bytes -= ev_size + self._drop(ev_pc, ev_id) + + def forget(self, pc: _PerColor) -> None: + with self._lock: + for key in [k for k in self._lru if k[0] is pc]: + self.cur_bytes -= self._lru.pop(key) + + def clear(self) -> None: + with self._lock: + for pc, block_id in self._lru: + self._drop(pc, block_id) + self._lru.clear() + self.cur_bytes = 0 + + @staticmethod + def _drop(pc: _PerColor, block_id: int) -> None: + """Evict one block from its owning per-color object, decode lock included + so `_block_locks` stays bounded. A thread may hold that lock mid-decode; + a later one then makes a fresh lock and both write the same bytes. + """ + pc._blocks.pop(block_id, None) + pc._block_locks.pop(block_id, None) + + +#: What :meth:`Tablebase._find` resolves a table to: a path by default, else +#: whatever that transport's :meth:`_TableFile._open_source` understands. Only +#: interpolated into messages, so a handle wants a ``__str__``. +TableSource = Any + + +class _TableFile: + """Shared source lifecycle for the four table kinds. Files are mapped + read-only rather than read in: a probe touches a handful of blocks, so the + page cache serves them and stays reclaimable. :meth:`_open_source` is the + only place that choice is made. + """ + + EXT: str + MAGIC: int + KIND: str + cache: _BlockCache + per_color: List[Any] + path: TableSource + + _data: Optional[Any] = None + _reader: Optional[_Serial] = None + + def _open(self, path: TableSource) -> None: + self.path = path + try: + self._reader = _Serial(self._open_source(path)) + if (len(self._reader.d) & 63) != 8: + raise ValueError(f"Invalid {self.KIND} file size {path}") + self._parse(self._reader) + except BaseException: + self.close() + raise + + def _parse(self, r: _Serial) -> None: + raise NotImplementedError + + def _open_source(self, path: TableSource) -> Any: + """Open `path`, set ``self._data`` to what :meth:`close` releases, and + return the buffer to read the table through. Maps the file by default, + and is the one seam another transport replaces. An override may return + any object with ``len()``, indexing and slicing; no span wider than one + block is taken, so it wants a page cache under it.""" + fd = os.open(path, os.O_RDONLY | getattr(os, "O_BINARY", 0)) + try: + data = mmap.mmap(fd, 0, access=mmap.ACCESS_READ) + finally: + os.close(fd) + + try: + data.madvise(mmap.MADV_RANDOM) + except AttributeError: + pass + + self._data = data + return memoryview(data) + + def close(self) -> None: + """Drop decoded blocks and release the source. Idempotent, and requires + that no thread is inside a probe of this table -- which is why + :meth:`Tablebase.close` drains its readers first. + """ + for pc in self.per_color: + if pc is not None: + pc._blocks.clear() + self.cache.forget(pc) + # The view goes first, or mmap.close() raises BufferError. + reader, self._reader = self._reader, None + if reader is not None and isinstance(reader.d, memoryview): + reader.d.release() + data, self._data = self._data, None + if data is not None: + try: + data.close() + except BufferError: + pass + + +_TableFileT = TypeVar("_TableFileT", bound=_TableFile) + + +# === WDL table file === + +def egtb_table_colors(table_num: int) -> List[int]: + return [CPP_WHITE] + ([CPP_BLACK] if table_num == 2 else []) + + +class _WDLPerColor(_PerColor): + __slots__ = ("order", "radix", "block_size", "tail_size", "block_cnt", + "data_size", "offsets", "buf", "data_off", "dict", "single_val", + "dict_size") + order: List[int] + radix: List[int] + block_size: int + tail_size: int + block_cnt: int + data_size: int + offsets: MonoUintVec + buf: Any + data_off: int + dict: bytes + single_val: int + dict_size: int + _blocks: Dict[int, bytes] + + def __init__(self) -> None: + super().__init__() + self.single_val = DRAW + self.dict = b"" + self.dict_size = 0 + + +class WDLFile(_TableFile): + EXT = ".lzw" + MAGIC = WDL_MAGIC + KIND = "WDL" + + def __init__(self, cfg: PieceConfig, path: TableSource, + cache: Optional[_BlockCache] = None): + self.cfg = cfg + self.index_cfg = position_index_config(cfg) + self.cache = cache if cache is not None else _BlockCache(DEFAULT_BLOCK_CACHE_BYTES) + self.is_singular = [False, False] + self.is_dropped = [False, False] + self.is_loss_only = [False, False] + self.is_relaxed = [False, False] + self.per_color: List[Optional[_WDLPerColor]] = [None, None] + self._open(path) + + def _parse(self, r: _Serial) -> None: + magic = r.u32() + if magic != self.MAGIC: + raise ValueError(f"Invalid WDL magic {self.path}") + key_and_table = r.u32() + key = key_and_table >> 2 + if key != self.cfg.min_key: + raise ValueError(f"Wrong material key in WDL {self.path}: {key} != {self.cfg.min_key}") + table_num = key_and_table & 3 + colors = egtb_table_colors(table_num) + for c in colors: + flag = r.u8() + pc = _WDLPerColor() + self.per_color[c] = pc + self.is_loss_only[c] = bool(flag & LOSS_ONLY_FLAG) + self.is_relaxed[c] = bool(flag & RELAXED_FLAG) + if flag & SINGULAR_FLAG: + self.is_singular[c] = True + pc.single_val = r.u8() + elif flag & DROPPED_FLAG: + self.is_dropped[c] = True + else: + self._parse_header(r, pc) + if table_num == 1: + self.is_dropped[CPP_BLACK] = True + self.is_loss_only[CPP_BLACK] = self.is_loss_only[CPP_WHITE] + self.is_relaxed[CPP_BLACK] = self.is_relaxed[CPP_WHITE] + self._finalize(r, colors) + + def _parse_header(self, r: _Serial, pc: _WDLPerColor) -> None: + perm = r.u32() + n = self.index_cfg.num_populated_classes() + if not index_permutation_valid(n, perm): + raise ValueError("Invalid WDL index permutation") + pc.order, pc.radix = self.index_cfg.make_layout(perm) + pc.tail_size = r.u16() + pc.block_size = r.u32() + pc.block_cnt = r.u64() + pc.data_size = r.u64() + + def _finalize(self, r: _Serial, colors: List[int]) -> None: + for c in colors: + if self.is_singular[c] or self.is_dropped[c]: + continue + pc = self.per_color[c] + assert pc is not None + pc.dict_size = r.u16() + if pc.dict_size != 0: + start = r.caret() + pc.dict = bytes(r.d[start:start + pc.dict_size]) + r.advance(pc.dict_size) + for c in colors: + if self.is_singular[c] or self.is_dropped[c]: + continue + pc = self.per_color[c] + assert pc is not None + log2_bu = r.u8() + sample_width = r.u8() + offset_width = r.u8() + r.advance(1) # usz_width + mono_off = r.caret() + mono_bytes = MonoUintVec.on_disk_bytes(pc.block_cnt + 1, log2_bu, + sample_width, offset_width) + r.advance(mono_bytes) + pc.offsets = MonoUintVec(r.d, mono_off, pc.block_cnt + 1, log2_bu, + sample_width, offset_width) + for c in colors: + if self.is_singular[c] or self.is_dropped[c]: + continue + pc = self.per_color[c] + assert pc is not None + r.align(64) + start = r.caret() + pc.buf, pc.data_off = r.d, start + r.advance(pc.data_size) + + def _get_block(self, pc: _WDLPerColor, block_id: int) -> bytes: + blk = pc._blocks.get(block_id) + if blk is not None: + self.cache.touch(pc, block_id) + return blk + # Cold block: one thread decodes, others wait rather than duplicate. + # Re-checked inside the lock, the winner having filled `_blocks`. + with pc.lock_for(block_id): + blk = pc._blocks.get(block_id) + if blk is not None: + self.cache.touch(pc, block_id) + return blk + doff, dnext = pc.offsets.get2(block_id) + dsz = dnext - doff + out_sz = (pc.tail_size if (block_id == pc.block_cnt - 1 and pc.tail_size != 0) + else pc.block_size) + blk = lz4_decompress_block( + _compressed_block(pc.buf[pc.data_off + doff:pc.data_off + doff + dsz]), + out_sz, pc.dict) + pc._blocks[block_id] = blk + self.cache.record(pc, block_id, len(blk)) + return blk + + def read(self, color: int, board: chess.Board) -> int: + pc = self.per_color[color] + assert pc is not None + if self.is_singular[color]: + return pc.single_val + pos = self.index_cfg.board_index(board, pc.order, pc.radix) + assert pos is not None + packed_byte = pos // 2 + block_id = packed_byte // pc.block_size + in_block = packed_byte % pc.block_size + lo, hi = pc.offsets.get2(block_id) + if lo == hi: + return 7 # ILLEGAL + data = self._get_block(pc, block_id) + entry = data[in_block] + return (entry >> ((pos % 2) * 4)) & 0xF + + +def _exists_case_exact(path: str) -> bool: + """Whether `path` exists spelled exactly as it is on disk. + + Case carries meaning in a table name -- lowercase ``p`` is the opposing + pair, ``r`` a rook still holding a right -- so ``KRK`` must not answer for + ``KrK``: the specialized tables are optional, and a miss falls back to the + plain twin. Only a case-folding filesystem can get that wrong, and the scan + that settles it is O(entries) over a directory holding a great many tables, + so one stat on the case-flipped name decides whether it is needed. + """ + if not os.path.exists(path): + return False + directory, name = os.path.split(path) + directory = directory or "." + flipped = name.swapcase() + if flipped == name or not os.path.exists(os.path.join(directory, flipped)): + return True + try: + with os.scandir(directory) as it: + return any(entry.name == name for entry in it) + except OSError: + return False + + +# === Probe orchestration (subset: WDL). Mirrors src/probe/probe.cpp. === + +def mirror_for_canonical(board: chess.Board) -> chess.Board: + """Swap colors and rank-mirror every piece; flip side to move. The ep square + is rank-mirrored with everything else. Mirrors Position::mirror in + src/chess/position.h.""" + out = board.copy(stack=False) + out.apply_mirror() + return out + + +_WDL_NAME = {LOSE: "LOSE", BLESSED_LOSS: "BLESSED_LOSS", DRAW: "DRAW", + CURSED_WIN: "CURSED_WIN", WIN: "WIN", ILLEGAL: "ILLEGAL"} + + +# --- WDL semantic helpers (egtb_entry.h / probe.cpp) --- + +def invert_wdl(w: int) -> int: + return {WIN: LOSE, CURSED_WIN: BLESSED_LOSS, DRAW: DRAW, + BLESSED_LOSS: CURSED_WIN, LOSE: WIN, ILLEGAL: ILLEGAL}[w] + + +def invert_stored(s: int) -> int: + return {0: WIN, 1: CURSED_WIN, 2: DRAW, 3: BLESSED_LOSS, 4: LOSE, + 5: CURSED_WIN, # BOUNDARY_LOSS -> we win but only cursed + 6: BLESSED_LOSS, # BOUNDARY_WIN -> we lose but only blessed + 7: ILLEGAL}[s] + + +def wdl_rank(w: int) -> int: + return {WIN: 4, CURSED_WIN: 3, DRAW: 2, BLESSED_LOSS: 1, LOSE: 0, ILLEGAL: -1}[w] + + +def is_symmetric_material(cfg: PieceConfig) -> bool: + return cfg.base_key == cfg.mirr_key + + +def material_has_pawns(cfg: PieceConfig) -> bool: + return cfg.has_pair or any(t == PAWN for _c, t in cfg.pieces) + + +def is_win_class(w: int) -> bool: + return w == WIN or w == CURSED_WIN + + +def locate_frame(f: Any, cfg: PieceConfig, board: chess.Board, + wdl: int) -> Tuple[int, Optional[chess.Board], bool]: + """Which frame holds a cell, whether it needs mirroring, and whether it is + there to be read. A dropped frame is reachable through the mirror when the + material is its own mirror; a loss-only frame holds no win. Both gaps are + filled by the same one-ply derive, run on the unmirrored board.""" + color = CPP_WHITE if board.turn == WHITE else CPP_BLACK + if not f.is_dropped[color]: + return color, None, not (f.is_loss_only[color] and is_win_class(wdl)) + if not is_symmetric_material(cfg): + return color, None, False + kept = CPP_BLACK if color == CPP_WHITE else CPP_WHITE + if f.is_loss_only[kept] and is_win_class(wdl): + return kept, None, False + return kept, mirror_for_canonical(board), True + + +MAX_DERIVE_DEPTH = 16 + + +def _internal_board(board: chess.Board) -> chess.Board: + if board.ep_square is not None: + board = board.copy(stack=False) + board.ep_square = None + return board + + +# === LZMA block decode + value-from-storage helpers (egtb_entry.h) === + +def lzma_raw_decompress(block: memoryview, expected_size: int) -> bytes: + if len(block) < 5: + raise ValueError("LZMA block too small") + props = bytes(block[-5:]) + raw = bytes(block[:-5]) + d0 = props[0] + lc = d0 % 9 + rem = d0 // 9 + lp = rem % 5 + pb = rem // 5 + dict_size = int.from_bytes(props[1:5], "little") + dec = lzma.LZMADecompressor(format=lzma.FORMAT_RAW, filters=[{ + "id": lzma.FILTER_LZMA1, "dict_size": dict_size, + "lc": lc, "lp": lp, "pb": pb}]) + out = dec.decompress(raw, expected_size) + if len(out) != expected_size: + out += dec.decompress(b"", expected_size - len(out)) + if len(out) != expected_size: + raise ValueError(f"LZMA size mismatch {len(out)} != {expected_size}") + return out + + +def dtz_value_from_storage(stored: int, w: int, entry_bytes: int) -> int: + if w == DRAW: + return 0 + if entry_bytes == 1 and (w == CURSED_WIN or w == BLESSED_LOSS): + return (stored << 1) - 1 + return stored + + +def dtm_value_from_storage(stored: int, w: int) -> int: + if w in (WIN, CURSED_WIN): + return (stored << 1) | 1 + if w in (LOSE, BLESSED_LOSS): + return stored << 1 + return 0 + + +def dtm50_value_from_storage(stored: int, w: int) -> int: + if w == WIN: + return (stored << 1) | 1 + if w == LOSE: + return stored << 1 + return 0 + + +# === DTZ / DTM table files — src/probe/dtz_file.cpp, src/probe/dtm_file.cpp === + +class _RankPerColor(_PerColor): + __slots__ = ("order", "radix", "entry_bytes", "block_size", "tail_size", + "block_cnt", "data_size", "offsets", "buf", "data_off", + "rank_to_value", "single_val") + order: List[int] + radix: List[int] + entry_bytes: int + block_size: int + tail_size: int + block_cnt: int + data_size: int + offsets: MonoUintVec + buf: Any + data_off: int + rank_to_value: List[int] + single_val: int + _blocks: Dict[int, bytes] + + def __init__(self) -> None: + super().__init__() + self.single_val = 0 + + +class _RankFile(_TableFile): + """The rank-coded, LZMA-blocked table body. DTM is the byte-for-byte twin + of DTZ (as ``src/probe/dtm_file.cpp`` says of its own traits); only the + magic and :meth:`_value_from_storage` differ, so both files parse and read + through this one.""" + + @staticmethod + def _value_from_storage(stored: int, wdl: int, entry_bytes: int) -> int: + raise NotImplementedError + + def __init__(self, cfg: PieceConfig, path: TableSource, + cache: Optional[_BlockCache] = None): + self.cfg = cfg + self.index_cfg = position_index_config(cfg) + self.cache = cache if cache is not None else _BlockCache(DEFAULT_BLOCK_CACHE_BYTES) + self.is_singular = [False, False] + self.is_dropped = [False, False] + self.is_loss_only = [False, False] + self.per_color: List[Optional[_RankPerColor]] = [None, None] + self._open(path) + + def _parse(self, r: _Serial) -> None: + if r.u32() != self.MAGIC: + raise ValueError(f"Invalid {self.KIND} magic {self.path}") + kat = r.u32() + if (kat >> 2) != self.cfg.min_key: + raise ValueError(f"Wrong material key in {self.KIND}") + table_num = kat & 3 + colors = egtb_table_colors(table_num) + for c in colors: + flag = r.u8() + pc = _RankPerColor() + self.per_color[c] = pc + self.is_loss_only[c] = bool(flag & LOSS_ONLY_FLAG) + if flag & SINGULAR_FLAG: + self.is_singular[c] = True + pc.single_val = r.u8() + elif flag & DROPPED_FLAG: + self.is_dropped[c] = True + else: + self._parse_header(r, pc) + if table_num == 1: + self.is_dropped[CPP_BLACK] = True + self.is_loss_only[CPP_BLACK] = self.is_loss_only[CPP_WHITE] + self._finalize(r, colors) + + def _parse_header(self, r: _Serial, pc: _RankPerColor) -> None: + perm = r.u32() + pc.order, pc.radix = self.index_cfg.make_layout(perm) + pc.entry_bytes = r.u8() + pc.tail_size = r.u32() + pc.block_size = r.u32() + pc.block_cnt = r.u64() + pc.data_size = r.u64() + num_ranks = r.u16() + pc.rank_to_value = [r.u16() for _ in range(num_ranks)] + + def _finalize(self, r: _Serial, colors: List[int]) -> None: + for c in colors: + if self.is_singular[c] or self.is_dropped[c]: + continue + pc = self.per_color[c] + assert pc is not None + log2_bu = r.u8() + sample_width = r.u8() + offset_width = r.u8() + r.advance(1) # usz_width (unused here) + mono_off = r.caret() + mb = MonoUintVec.on_disk_bytes(pc.block_cnt + 1, log2_bu, sample_width, offset_width) + r.advance(mb) + pc.offsets = MonoUintVec(r.d, mono_off, pc.block_cnt + 1, log2_bu, + sample_width, offset_width) + for c in colors: + if self.is_singular[c] or self.is_dropped[c]: + continue + pc = self.per_color[c] + assert pc is not None + r.align(64) + start = r.caret() + pc.buf, pc.data_off = r.d, start + r.advance(pc.data_size) + + def _get_block_raw(self, pc: _RankPerColor, block_id: int) -> bytes: + blk = pc._blocks.get(block_id) + if blk is not None: + self.cache.touch(pc, block_id) + return blk + with pc.lock_for(block_id): # see WDLFile._get_block + blk = pc._blocks.get(block_id) + if blk is not None: + self.cache.touch(pc, block_id) + return blk + decode_sz = (pc.tail_size if (block_id == pc.block_cnt - 1 and pc.tail_size != 0) + else pc.block_size) + doff, dnext = pc.offsets.get2(block_id) + dsz = dnext - doff + blk = b"" if dsz == 0 else lzma_raw_decompress( + _compressed_block(pc.buf[pc.data_off + doff:pc.data_off + doff + dsz]), + decode_sz) + pc._blocks[block_id] = blk + self.cache.record(pc, block_id, len(blk)) + return blk + + def read(self, color: int, board: chess.Board, wdl: int) -> int: + assert wdl != DRAW and wdl != ILLEGAL + pc = self.per_color[color] + assert pc is not None + if self.is_singular[color]: + return self._value_from_storage(pc.single_val, wdl, 1) + pos = self.index_cfg.board_index(board, pc.order, pc.radix) + assert pos is not None + ppb = pc.block_size // pc.entry_bytes + block_id = pos // ppb + in_block = pos % ppb + lo, hi = pc.offsets.get2(block_id) + if lo == hi: + return 0 # skip block: uniform DRAW/ILLEGAL + raw = self._get_block_raw(pc, block_id) + if pc.entry_bytes == 1: + stored = raw[in_block] + else: + stored = struct.unpack_from(" int: + return dtz_value_from_storage(stored, wdl, entry_bytes) + + +class DTMFile(_RankFile): + EXT = ".lzdtm" + MAGIC = DTM_MAGIC + KIND = "DTM" + + @staticmethod + def _value_from_storage(stored: int, wdl: int, entry_bytes: int) -> int: + # Plain parity: the class supplies the low bit, not the cell width. + return dtm_value_from_storage(stored, wdl) + + +# === Changepoint packs — src/probe/layered_file.h, dtm50_file.cpp, dtc_file.cpp === +# +# One container, two metrics: DTM50 stacks 101 layers by halfmove clock, DTC 29 +# budget points plus DTZ's terminal changepoint. Both open every record with +# that embedded endpoint. Block decode is shared; each ``read`` is its own. + +def _bit(buf: bytes, i: int) -> int: + return (buf[i >> 3] >> (i & 7)) & 1 + + +# --- block-local prefix indexes (src/probe/layered_file.h) --- +# +# A read needs a position's 2-bit state and its index among positions sharing +# it. Indexing all 1,048,576 per block would cost a ~40 MiB list that dwarfs the +# payload, so index every STRIDE-th and walk at most one stride, as the C++ does. +_LAYERED_STRIDE = 256 +_STATE_STRIDE_BYTES = _LAYERED_STRIDE // 4 # 2-bit states: 4 per byte +_HINT_STRIDE_BYTES = _LAYERED_STRIDE // 8 # hint bitmaps: 8 per byte + +#: A drawn layer, which no mate distance reaches. +DTM50_DRAWN = 0xFFFF + +#: State-bitmap byte -> how many of its four fields are state `s`, so that +#: ``translate`` + ``sum`` counts a byte range in C. +_STATE_COUNT_XLAT = tuple( + bytes(sum(1 for k in range(4) if (b >> (2 * k)) & 3 == s) for b in range(256)) + for s in range(4)) + +#: ``[b][q][s]``: fields before `q` of byte `b` in state `s` -- the partial +#: byte a walk ends on. +_STATE_FIELD_PREFIX = tuple( + tuple(tuple(sum(1 for k in range(q) if (b >> (2 * k)) & 3 == s) for s in range(4)) + for q in range(4)) + for b in range(256)) + + +def _state_stride_index(state_bits: bytes, num_positions: int) -> Tuple[array.array[int], ...]: + """Per-state cumulative counts at every stride boundary: ``cum[s][k]`` is + how many of the first ``k * _LAYERED_STRIDE`` positions are in state `s`. + + The last entry may include padding fields, which no read reaches: stride + `k` only ever consults ``cum[s][k]``.""" + n_strides = _ceil_div(num_positions, _LAYERED_STRIDE) + out = [] + for s in range(4): + per_byte = state_bits.translate(_STATE_COUNT_XLAT[s]) + cum = array.array("q", bytes(8 * (n_strides + 1))) + run = 0 + at = 0 + for k in range(n_strides): + cum[k] = run + run += sum(per_byte[at:at + _STATE_STRIDE_BYTES]) + at += _STATE_STRIDE_BYTES + cum[n_strides] = run + out.append(cum) + return tuple(out) + + +def _state_and_index(state_bits: bytes, cum: Tuple[array.array[int], ...], + pos: int) -> Tuple[int, int]: + sid, within = divmod(pos, _LAYERED_STRIDE) + byte_in_stride, field = divmod(within, 4) + base = sid * _STATE_STRIDE_BYTES + b = state_bits[base + byte_in_stride] + st = (b >> (2 * field)) & 3 + idx = cum[st][sid] + if byte_in_stride: + idx += sum(state_bits[base:base + byte_in_stride].translate(_STATE_COUNT_XLAT[st])) + return st, idx + _STATE_FIELD_PREFIX[b][field][st] + + +def _build_hints(payload: bytes, off: int, hint_byte: int, n: int, + short: int, long: int) -> bytes: + """The draw-end bits of `n` variable-width records, gathered into a bitmap. + The bit is the MSB of the record's last h byte -- its first for SINGLE, its + second for DOUBLE -- and only a walk finds the next record.""" + hints = bytearray((n + 7) // 8) + for j in range(n): + if payload[off + hint_byte] & 0x80: + hints[j >> 3] |= 1 << (j & 7) + off += short + else: + off += long + return bytes(hints) + + +def _hint_stride_index(hints: bytes, n: int) -> array.array[int]: + n_strides = _ceil_div(n, _LAYERED_STRIDE) + cum = array.array("q", bytes(8 * (n_strides + 1))) + run = 0 + for k in range(n_strides): + cum[k] = run + chunk = hints[k * _HINT_STRIDE_BYTES:(k + 1) * _HINT_STRIDE_BYTES] + run += chess.popcount(int.from_bytes(chunk, "little")) + cum[n_strides] = run + return cum + + +def _hint_prefix(hints: bytes, cum: array.array[int], i: int) -> int: + """Popcount of bits [0, `i`) of a hint bitmap: the stride total, then at + most one stride of walking. Entry `i` itself is never counted, so the + bitmap only has to cover the entries that exist.""" + sid, within = divmod(i, _LAYERED_STRIDE) + base = sid * _HINT_STRIDE_BYTES + whole, rem = divmod(within, 8) + n = cum[sid] + if whole: + n += chess.popcount(int.from_bytes(hints[base:base + whole], "little")) + if rem: + n += chess.popcount(hints[base + whole] & ((1 << rem) - 1)) + return n + + +class _LayeredPerColor(_PerColor): + __slots__ = ("order", "radix", "entry_bytes", "block_positions", + "tail_positions", "block_cnt", "data_size", "offsets", + "usizes", "buf", "data_off", "rank_to_value") + order: List[int] + radix: List[int] + entry_bytes: int + block_positions: int + tail_positions: int + block_cnt: int + data_size: int + offsets: MonoUintVec + usizes: Min0UintVec + buf: Any + data_off: int + rank_to_value: List[int] + _blocks: Dict[int, Dict[str, Any]] + + def __init__(self) -> None: + super().__init__() + + +def _multi_bitmap(payload: Any, entry: int, bm_bytes: int) -> int: + return int.from_bytes(bytes(payload[entry + 1:entry + 1 + bm_bytes]), "little") + + +def _multi_last_changepoint(bits: int) -> int: + return bits.bit_length() - 1 if bits else 0 + + +class _LayeredFile(_TableFile): + """The changepoint container both packs are written in: header, offsets + section and block decode, down to the per-position state and its record. + What a record *means* is the metric's, so ``read`` lives in the subclass.""" + + def __init__(self, cfg: PieceConfig, path: TableSource, + cache: Optional[_BlockCache] = None): + self.cfg = cfg + self.index_cfg = position_index_config(cfg) + self.cache = cache if cache is not None else _BlockCache(DEFAULT_BLOCK_CACHE_BYTES) + self.is_singular = [False, False] + self.is_dropped = [False, False] + self.is_loss_only = [False, False] + self.per_color: List[Optional[_LayeredPerColor]] = [None, None] + self._open(path) + + def _parse(self, r: _Serial) -> None: + if r.u32() != self.MAGIC: + raise ValueError(f"Invalid {self.KIND} magic") + kat = r.u32() + if (kat >> 2) != self.cfg.min_key: + raise ValueError(f"Wrong material key in {self.KIND}") + table_num = kat & 3 + colors = egtb_table_colors(table_num) + for c in colors: + flag = r.u8() + pc = _LayeredPerColor() + self.per_color[c] = pc + self.is_loss_only[c] = bool(flag & LOSS_ONLY_FLAG) + if flag & SINGULAR_FLAG: + self.is_singular[c] = True + if r.u8() != 0: + raise ValueError(f"{self.KIND} singular value must be DRAW") + elif flag & DROPPED_FLAG: + self.is_dropped[c] = True + else: + self._parse_header(r, pc) + if table_num == 1: + self.is_dropped[CPP_BLACK] = True + self.is_loss_only[CPP_BLACK] = self.is_loss_only[CPP_WHITE] + self._finalize(r, colors) + + def _parse_header(self, r: _Serial, pc: _LayeredPerColor) -> None: + perm = r.u32() + pc.order, pc.radix = self.index_cfg.make_layout(perm) + pc.entry_bytes = r.u8() + pc.block_positions = r.u32() + pc.block_cnt = r.u64() + pc.tail_positions = r.u32() + pc.data_size = r.u64() + num_ranks = r.u16() + pc.rank_to_value = [r.u16() for _ in range(num_ranks)] + + def _finalize(self, r: _Serial, colors: List[int]) -> None: + for c in colors: + if self.is_singular[c] or self.is_dropped[c]: + continue + pc = self.per_color[c] + assert pc is not None + log2_bu = r.u8() + sample_width = r.u8() + offset_width = r.u8() + usz_width = r.u8() + mono_off = r.caret() + mb = MonoUintVec.on_disk_bytes(pc.block_cnt + 1, log2_bu, sample_width, offset_width) + r.advance(mb) + usz_off = r.caret() + ub = Min0UintVec.on_disk_bytes(pc.block_cnt, usz_width) + r.advance(ub) + pc.offsets = MonoUintVec(r.d, mono_off, pc.block_cnt + 1, log2_bu, + sample_width, offset_width) + pc.usizes = Min0UintVec(r.d, usz_off, pc.block_cnt, usz_width) + for c in colors: + if self.is_singular[c] or self.is_dropped[c]: + continue + pc = self.per_color[c] + assert pc is not None + r.align(64) + start = r.caret() + pc.buf, pc.data_off = r.d, start + r.advance(pc.data_size) + + def _get_block(self, pc: _LayeredPerColor, block_id: int) -> Dict[str, Any]: + blk = pc._blocks.get(block_id) + if blk is not None: + self.cache.touch(pc, block_id) + return blk + with pc.lock_for(block_id): + blk = pc._blocks.get(block_id) + if blk is not None: + self.cache.touch(pc, block_id) + return blk + return self._decode_block(pc, block_id) + + def _decode_block(self, pc: _LayeredPerColor, block_id: int) -> Dict[str, Any]: + doff, dnext = pc.offsets.get2(block_id) + dsz = dnext - doff + usz = pc.usizes.get(block_id) + payload = lzma_raw_decompress( + _compressed_block(pc.buf[pc.data_off + doff:pc.data_off + doff + dsz]), usz) + eb = pc.entry_bytes + (num_positions, num_single, num_double, num_multi, + single_stream_bytes, double_stream_bytes) = struct.unpack_from(" int: + return payload[off] if eb == 1 else int(struct.unpack_from(" Optional[Tuple[Dict[str, Any], int, int]]: + """A position's decoded block, its record state and its index among the + records sharing that state. ``None`` where nothing is stored, which + reads as drawn at every layer.""" + pc = self.per_color[color] + assert pc is not None + if self.is_singular[color]: + return None + pos = self.index_cfg.board_index(board, pc.order, pc.radix) + assert pos is not None + block_id, pos_in_block = divmod(pos, pc.block_positions) + lo, hi = pc.offsets.get2(block_id) + if lo == hi: + return None # skip block (uniform DRAW) + blk = self._get_block(pc, block_id) + st, idx = _state_and_index(blk["state_bits"], blk["state_cum"], pos_in_block) + return blk, st, idx + + +class DTM50File(_LayeredFile): + EXT = ".lzdtm50" + MAGIC = DTM50_MAGIC + KIND = "DTM50" + + def read(self, color: int, board: chess.Board, wdl: int, + hmc: int) -> Tuple[int, int]: + """The value at `hmc`, and the layer where the cell turns DRAW; the + terminal rank decides both. Only the draw-end hint says DRAW; a stored + 0 is a mate.""" + assert wdl != DRAW and wdl != ILLEGAL + flat = (hmc == IGNORE_50MR) + if not flat and (wdl == CURSED_WIN or wdl == BLESSED_LOSS): + return (DTM50_DRAWN, 0) + found = self._locate(color, board) + if found is None: + return (DTM50_DRAWN, 0) + blk, st, idx = found + pc = self.per_color[color] + assert pc is not None + payload = blk["payload"] + eb = blk["eb"] + r2v = pc.rank_to_value + layer = 0 if flat else (hmc + 1) + + draw_flip = 0 + if st == 0: # CONST: one rank for all layers, so it never flips + stored = r2v[self._read_rank(payload, blk["const_stream_off"] + idx * eb, eb)] + elif st == 1: # SINGLE: one transition at h + short, long = 1 + eb, 1 + 2 * eb + n_short = _hint_prefix(blk["single_hints"], blk["single_pre"], idx) + off = blk["single_stream_off"] + n_short * short + (idx - n_short) * long + draw_end = _bit(blk["single_hints"], idx) + h = payload[off] & 0x7F + if draw_end: + draw_flip = h + if layer < h: + stored = r2v[self._read_rank(payload, off + 1, eb)] + elif draw_end: + return (DTM50_DRAWN, draw_flip) + else: + stored = r2v[self._read_rank(payload, off + 1 + eb, eb)] + elif st == 2: # DOUBLE: transitions at h1 < h2 + short, long = 2 + 2 * eb, 2 + 3 * eb + n_short = _hint_prefix(blk["double_hints"], blk["double_pre"], idx) + off = blk["double_stream_off"] + n_short * short + (idx - n_short) * long + draw_end = _bit(blk["double_hints"], idx) + h1 = payload[off] + h2 = payload[off + 1] & 0x7F + if draw_end: + draw_flip = h2 + if layer < h1: + stored = r2v[self._read_rank(payload, off + 2, eb)] + elif layer < h2: + stored = r2v[self._read_rank(payload, off + 2 + eb, eb)] + elif draw_end: + return (DTM50_DRAWN, draw_flip) + else: + stored = r2v[self._read_rank(payload, off + 2 + 2 * eb, eb)] + else: # MULTI: changepoint bitmap, the stack height in bits used + entry = blk["multi_data_off"] + struct.unpack_from( + " int: + """Plies a DTC answer may still spend before the 50-move claim: the whole + band where the caller ignores the rule, and none at all once the clock has + reached the claim, where only a mate already on the board, at distance 0, + outruns it.""" + if rule50 == IGNORE_50MR: + return MAX_NON_CURSED_DTZ + return 0 if rule50 >= MAX_NON_CURSED_DTZ else MAX_NON_CURSED_DTZ - rule50 + + +class _DTCCell(NamedTuple): + """One DTC cell: pushes the winning side still owes before a conversion, and + plies to the next zeroing move on the line that owes them, both from the + budget layer fitting the caller's clock. ``dtz`` is the record's unbounded + row -- the DTZ table the pack embeds -- which a cursed class has only.""" + + order: int = 0 + value: int = DTC_DRAWN + dtz: int = DTC_DRAWN + + @property + def priced(self) -> bool: + return self.value != DTC_DRAWN + + +class _BudgetSegments(NamedTuple): + """One position's value as a function of push budget, read off its record. + The budget runs down as the pack index runs up, so `segs` is ascending in + both row and value; `draw_start` is the row a trailing DRAW segment begins + at, which is what the record's hint bit says.""" + + segs: List[Tuple[int, int]] + draw_start: Optional[int] + + def end_of(self, i: int) -> int: + if i + 1 < len(self.segs): + return self.segs[i + 1][0] + return DTC_PACK_LAYERS if self.draw_start is None else self.draw_start + + +class DTCFile(_LayeredFile): + EXT = ".lzdtc" + MAGIC = DTC_MAGIC + KIND = "DTC" + + def _segments(self, color: int, board: chess.Board) -> Optional[_BudgetSegments]: + found = self._locate(color, board) + if found is None: + return None + blk, st, idx = found + pc = self.per_color[color] + assert pc is not None + payload = blk["payload"] + eb = blk["eb"] + r2v = pc.rank_to_value + rank = self._read_rank + if st == 0: # CONST: one value at every budget + off = blk["const_stream_off"] + idx * eb + return _BudgetSegments([(0, r2v[rank(payload, off, eb)])], None) + if st == 1: # SINGLE: one changepoint at h + short, long = 1 + eb, 1 + 2 * eb + n_short = _hint_prefix(blk["single_hints"], blk["single_pre"], idx) + off = blk["single_stream_off"] + n_short * short + (idx - n_short) * long + draw_end = _bit(blk["single_hints"], idx) + h = payload[off] & 0x7F + segs = [(0, r2v[rank(payload, off + 1, eb)])] + if draw_end: + return _BudgetSegments(segs, h) + segs.append((h, r2v[rank(payload, off + 1 + eb, eb)])) + return _BudgetSegments(segs, None) + if st == 2: # DOUBLE: changepoints at h1 < h2 + short, long = 2 + 2 * eb, 2 + 3 * eb + n_short = _hint_prefix(blk["double_hints"], blk["double_pre"], idx) + off = blk["double_stream_off"] + n_short * short + (idx - n_short) * long + draw_end = _bit(blk["double_hints"], idx) + h1 = payload[off] + h2 = payload[off + 1] & 0x7F + segs = [(0, r2v[rank(payload, off + 2, eb)]), + (h1, r2v[rank(payload, off + 2 + eb, eb)])] + if draw_end: + return _BudgetSegments(segs, h2) + segs.append((h2, r2v[rank(payload, off + 2 + 2 * eb, eb)])) + return _BudgetSegments(segs, None) + entry = blk["multi_data_off"] + struct.unpack_from( + " _DTCCell: + """The fewest pushes whose plies-to-zeroing still fit the clock the + caller holds: the deepest budget index that stays inside `rule50`. + Fewer pushes may cost a longer wait, so a fresh clock buys the fewest any + line manages -- which is whatever the position needs, not necessarily + none.""" + assert wdl != DRAW and wdl != ILLEGAL + seg = self._segments(color, board) + if seg is None: + return _DTCCell() + + assert seg.segs + dtz = seg.segs[0][1] + if wdl == CURSED_WIN or wdl == BLESSED_LOSS: + return _DTCCell(dtz=dtz) + + budget_plies = dtc_budget_plies(rule50) + for i in range(len(seg.segs) - 1, -1, -1): + value = seg.segs[i][1] + if value > budget_plies: + continue + return _DTCCell(DTC_BUDGET_LAYERS - (seg.end_of(i) - 1), value, dtz) + return _DTCCell(dtz=dtz) + + def read_curve(self, color: int, board: chess.Board, wdl: int) -> List[int]: + """The same decode, spread over the budgets it covers instead of + resolved against a clock: ``DTC_DRAWN`` wherever a budget point settles + nothing, which for a cursed class is everywhere. The first 29 entries + are separately solved finite points; the top entry is the embedded DTZ + terminal endpoint.""" + curve = [DTC_DRAWN] * DTC_PACK_LAYERS + assert wdl != DRAW and wdl != ILLEGAL + if wdl == CURSED_WIN or wdl == BLESSED_LOSS: + return curve + seg = self._segments(color, board) + if seg is None: + return curve + for i, (start, value) in enumerate(seg.segs): + for row in range(start, seg.end_of(i)): + curve[DTC_BUDGET_LAYERS - row] = value + return curve + + +# === Probe orchestration — src/probe/probe.cpp === + +def prefer_new(new_wdl: int, new_dtz: int, old_wdl: int, old_dtz: int) -> bool: + rn, ro = wdl_rank(new_wdl), wdl_rank(old_wdl) + if rn != ro: + return rn > ro + if new_wdl in (WIN, CURSED_WIN): + return new_dtz < old_dtz + if new_wdl in (LOSE, BLESSED_LOSS): + return new_dtz > old_dtz + return False + + +def prefer_new_dtc(new_wdl: int, new_order: int, new_value: int, + old_wdl: int, old_order: int, old_value: int) -> bool: + rn, ro = wdl_rank(new_wdl), wdl_rank(old_wdl) + if rn != ro: + return rn > ro + if new_wdl in (WIN, CURSED_WIN): + return (new_order < old_order if new_order != old_order + else new_value < old_value) + if new_wdl in (LOSE, BLESSED_LOSS): + return (new_order > old_order if new_order != old_order + else new_value > old_value) + return False + + +def below_pinned_class(pinned: int, offer: int) -> bool: + """Derivation stands in for `read(color, board, wdl)`. Reads are + class-driven: the WDL companion pins the class, while the file only prices + the distance. A child that cannot reach the pinned class never wins the + minimax and never needs a probe. ILLEGAL pins nothing -- the WDL table had + no answer either.""" + return pinned != ILLEGAL and wdl_rank(offer) < wdl_rank(pinned) + + +def child_class_is_forced(pinned: int) -> bool: + """A LOSE pin makes WIN a safe child-class surrogate: under an exact pin + every child is a clean WIN, or the parent would be BLESSED_LOSS, and under a + folded DTM pin WIN and CURSED_WIN are equivalent to the minimax anyway. + """ + return pinned == LOSE + + +def dtz_lift(my_wdl: int) -> int: + """A DTZ minimax lifts a LOSE to BLESSED_LOSS past 100.""" + return BLESSED_LOSS if my_wdl == LOSE else my_wdl + + +def fold_dtm_wdl(w: int) -> int: + if w == CURSED_WIN: + return WIN + if w == BLESSED_LOSS: + return LOSE + return w + + +def fold_50mr_wdl(w: int) -> int: + """5-class WDL -> the three a clocked metric holds, DTM50's layers and DTC's + budgets alike: cursed and blessed are unreachable under 50MR.""" + if w == CURSED_WIN or w == BLESSED_LOSS: + return DRAW + return w + + +def _is_checkmate(board: chess.Board) -> bool: + return board.is_checkmate() + + +def dtz_from_draw_flip(h: int, wdl: int, board: chess.Board) -> Optional[int]: + """The DRAW flip pins DTZ: a W/L cell still decisive at hmc = 100 - dtz turns + one tick later, so its flip layer (hmc + 1) is h = 102 - dtz. h == 1 is a + cell already drawn at a fresh clock -- the cursed band, whose distance the + flip says nothing about; never flipping means dtz <= 1, which only a mate + splits. DRAW/ILLEGAL answer 0, the don't-care the DTZ table decodes.""" + if wdl == DRAW or wdl == ILLEGAL: + return 0 + if wdl not in (WIN, LOSE): + return None + if h == 0: + return 0 if (wdl == LOSE and _is_checkmate(board)) else 1 + if h == 1: + return None + return MAX_NON_CURSED_DTZ + 2 - h + + +# Two bounds on the layer at `rule50`, W/L only -- cursed and blessed are DRAW at +# every layer. Pinned: rule50 + dtm <= 100, the whole mating line fits the +# window, so the layer takes the flat DTM (inclusive: the game ends at mate, +# before a draw can be claimed). Busted: rule50 + dtz > 100, no line resets the +# count in time, so the layer is DRAW and no surviving position gets a distance. +# +# An unpriced distance reads as 0, so the pin needs a has_dtm at the call site +# while the bust cannot fire on one. +def dtm50_layer_pinned_by_dtm(wdl: int, dtm: int, rule50: int) -> bool: + if wdl not in (WIN, LOSE): + return False + return rule50 + dtm <= MAX_NON_CURSED_DTZ + + +def layer_busted_by_dtz(wdl: int, dtz: int, rule50: int) -> bool: + if wdl not in (WIN, LOSE): + return False + return rule50 + dtz > MAX_NON_CURSED_DTZ + + +class _DTM50Result(NamedTuple): + """A DTM50 answer, with DTZ riding along.""" + + wdl: int + dtm: int + has_dtz: bool = False + dtz: int = 0 + + +class _SkippedChildren: + """Children a derive could not price. A skip unpins the minimax only if the + class it could have offered outranks the kept best; an unknown class unpins + outright. Every deriver runs this.""" + + __slots__ = ("_best_rank", "_blind") + + def __init__(self) -> None: + self._best_rank = -1 + self._blind = False + + def of_class(self, my_wdl: int) -> None: + self._best_rank = max(self._best_rank, wdl_rank(my_wdl)) + + def of_dtz_class(self, my_wdl: int) -> None: + self.of_class(dtz_lift(my_wdl)) + + def unknown(self) -> None: + self._blind = True + + def unpin(self, best_wdl: int) -> bool: + return self._blind or self._best_rank >= wdl_rank(best_wdl) + + +class _DTZMinimax: + """The DTZ half of a derive: zeroing distance ranks moves its own way, so + it minimaxes beside the mate distance over the same children. Fed per child; + `finish` writes the field a read cell gets from its flip.""" + + __slots__ = ("_have", "_best_wdl", "_best_dtz", "_skipped") + + def __init__(self) -> None: + self._have = False + self._best_wdl = LOSE + self._best_dtz = 0 + self._skipped = _SkippedChildren() + + def zeroing_child(self, child_wdl: int) -> None: + self._offer(child_wdl, 1) + + def quiet_child(self, child_wdl: int, child: _DTM50Result) -> None: + if child.has_dtz: + self._offer(child_wdl, 1 + child.dtz) + else: + self._skipped.of_dtz_class(invert_wdl(child_wdl)) + + def unwalked(self) -> None: + self._skipped.unknown() + + def finish(self, wdl: int, dtm: int, any_legal: bool) -> _DTM50Result: + if not any_legal: # mate or stalemate: terminal, zeroing distance 0 + return _DTM50Result(wdl, dtm, True, 0) + if not self._have or self._skipped.unpin(self._best_wdl): + return _DTM50Result(wdl, dtm) + return _DTM50Result(wdl, dtm, True, + 0 if self._best_wdl == DRAW else self._best_dtz) + + def _offer(self, child_wdl: int, dtz: int) -> None: + my_wdl = invert_wdl(child_wdl) + if dtz > MAX_NON_CURSED_DTZ: + if my_wdl == WIN: + my_wdl = CURSED_WIN + elif my_wdl == LOSE: + my_wdl = BLESSED_LOSS + if not self._have or prefer_new(my_wdl, dtz, self._best_wdl, self._best_dtz): + self._best_wdl, self._best_dtz, self._have = my_wdl, dtz, True + + +class _UnboundedFold: + """DTC's fold for the unbounded row it carries: a zeroing move ends the + count one ply out, a quiet move waits one longer, and the class says whether + the shortest or the longest of them stands. One child unable to say leaves + the row unanswered, since a best over part of the moves is a wrong answer + rather than a partial one.""" + + __slots__ = ("_winning", "_have", "_blind", "_best") + + def __init__(self, mover_class: int) -> None: + self._winning = mover_class in (WIN, CURSED_WIN) + self._have = False + self._blind = False + self._best = 0 + + def zeroing_child(self) -> None: + self._offer(1) + + def quiet_child(self, child_dtz: int) -> None: + if child_dtz == DTC_DRAWN: + self._blind = True + else: + self._offer(child_dtz + 1) + + def value(self) -> int: + return self._best if (self._have and not self._blind) else DTC_DRAWN + + def _offer(self, v: int) -> None: + if not self._have or (v < self._best if self._winning else v > self._best): + self._best = v + self._have = True + + +def _ep_capture_moves( + board: chess.Board, ep_square: int +) -> Tuple[chess.Board, List[chess.Move]]: + bcopy = board.copy(stack=False) + bcopy.ep_square = ep_square + return bcopy, [m for m in bcopy.legal_moves if bcopy.is_en_passant(m)] + + +class ProbeResult: + """Outcome of :meth:`Tablebase.probe`. + + ``status`` is ``"ok"`` or ``"tb_not_found"``. ``wdl``, ``dtc_wdl`` and + ``dtm50_wdl`` are :data:`WIN`..:data:`LOSE` codes; ``dtz``/``dtc``/``dtm``/ + ``dtm50`` are unsigned plies signed by the matching WDL class. ``dtc_order`` + is the pushes the winner still owes; ``has_dtc`` says the metric is + available and ``dtc_wdl`` what it found, a 50MR draw included. + """ + + __slots__ = ("status", "wdl", "has_dtz", "dtz", "has_dtc", "dtc_wdl", + "dtc_order", "dtc", "has_dtm", "dtm", + "has_dtm50", "dtm50_wdl", "dtm50") + + status: str + wdl: int + has_dtz: bool + dtz: int + has_dtc: bool + dtc_wdl: int + dtc_order: int + dtc: int + has_dtm: bool + dtm: int + has_dtm50: bool + dtm50_wdl: int + dtm50: int + + def __init__(self) -> None: + self.status = "tb_not_found" + self.wdl = ILLEGAL + self.has_dtz = False + self.dtz = 0 + self.has_dtc = False + self.dtc_wdl = ILLEGAL + self.dtc_order = 0 + self.dtc = 0 + self.has_dtm = False + self.dtm = 0 + self.has_dtm50 = False + self.dtm50_wdl = ILLEGAL + self.dtm50 = 0 + + def __repr__(self) -> str: + if self.status != "ok": + return f"" + s = f"" + + +def _fill_pawnless_dtc_from_dtz(r: ProbeResult, rule50: int) -> None: + if r.wdl not in (WIN, LOSE): + r.has_dtc = True + r.dtc_wdl = DRAW + return + if not r.has_dtz: + return + + busted = (rule50 != IGNORE_50MR + and layer_busted_by_dtz(r.wdl, r.dtz, rule50)) + r.has_dtc = True + r.dtc_wdl = DRAW if busted else r.wdl + r.dtc = 0 if busted else r.dtz + + +class MissingTableError(KeyError): + """Raised when no table is available for the queried material.""" + + +_WDL_SIGNED = {WIN: 2, CURSED_WIN: 1, DRAW: 0, BLESSED_LOSS: -1, LOSE: -2} + + +def _signed(magnitude: int, wdl: int) -> int: + if wdl in (WIN, CURSED_WIN): + return magnitude + if wdl in (LOSE, BLESSED_LOSS): + return -magnitude + return 0 + + +# === Tablebase === + +class Tablebase: + """Probe a directory tree of chesstb tables. + + `directory` may hold ``wdl/``, ``dtz/``, ``dtc/``, ``dtm/`` and ``dtm50/`` + subdirectories (the generator's layout) or the table files directly. Use + :func:`open_tablebase`. One instance is meant to be shared by every thread + that probes, so tables and blocks are opened and decoded once for everyone. + """ + + #: The classes ``_open_wdl`` and its siblings instantiate. A transport + #: names its subclasses here and overrides :meth:`_find`. + WDL_FILE: Type[WDLFile] = WDLFile + DTZ_FILE: Type[DTZFile] = DTZFile + DTC_FILE: Type[DTCFile] = DTCFile + DTM_FILE: Type[DTMFile] = DTMFile + DTM50_FILE: Type[DTM50File] = DTM50File + + KINDS = ("wdl", "dtz", "dtc", "dtm", "dtm50") + + def __init__(self, directory: str, *, block_cache_bytes: int = DEFAULT_BLOCK_CACHE_BYTES): + self.dirs: Dict[str, List[str]] = {kind: [] for kind in self.KINDS} + self._wdl_cache: Dict[CacheKey, Optional[WDLFile]] = {} + self._dtz_cache: Dict[CacheKey, Optional[DTZFile]] = {} + self._dtc_cache: Dict[CacheKey, Optional[DTCFile]] = {} + self._dtm_cache: Dict[CacheKey, Optional[DTMFile]] = {} + self._dtm50_cache: Dict[CacheKey, Optional[DTM50File]] = {} + # One lock per kind, guarding that kind's open cache and `dirs` entry. + # Held only across a first open, never across a probe; KINDS order. + self._open_locks: Dict[str, threading.Lock] = { + kind: threading.Lock() for kind in self.KINDS} + self._read_condition = threading.Condition() + self._read_count = 0 + self._block_cache = _BlockCache(block_cache_bytes) + self.add_directory(directory) + + def add_directory(self, directory: str) -> None: + """Add another search directory (and its kind subdirectories). + + Safe to call while other threads probe: each kind's list is extended + under the lock its :meth:`_find` holds. Tables already resolved are not + re-resolved, so a late directory only affects materials not yet looked + up. + """ + for kind in self.KINDS: + with self._open_locks[kind]: + self.dirs[kind].append(os.path.join(directory, kind)) + self.dirs[kind].append(directory) + + def close(self) -> None: + """Drop all cached decoded blocks and unmap all open tables. Waits for + probes on other threads first: unmapping under a live probe would pull + the table's memory out from under it. + Probes arriving afterwards are not turned away -- they reopen what + they need -- so a continuous stream can keep this waiting. + """ + with self._read_condition: + while self._read_count > 0: + self._read_condition.wait() + self._block_cache.clear() + with self._open_locks["wdl"]: + self._close_all(self._wdl_cache) + with self._open_locks["dtz"]: + self._close_all(self._dtz_cache) + with self._open_locks["dtc"]: + self._close_all(self._dtc_cache) + with self._open_locks["dtm"]: + self._close_all(self._dtm_cache) + with self._open_locks["dtm50"]: + self._close_all(self._dtm50_cache) + + @staticmethod + def _close_all(cache: Dict[CacheKey, Optional[_TableFileT]]) -> None: + while cache: + _, table = cache.popitem() + if table is not None: + table.close() + + def __enter__(self) -> "Tablebase": + return self + + def __exit__(self, *exc: Any) -> None: + self.close() + + # --- table file resolution / caching --- + def _find(self, kind: str, name: str, ext: str) -> Optional[TableSource]: + """Resolve one table to something :meth:`_TableFile._open_source` opens, + or ``None`` if this tablebase has no such table.""" + for d in self.dirs[kind]: + p = os.path.join(d, name + ext) + if _exists_case_exact(p): + return p + return None + + # A cached `None` means "looked, no such table", so these subscript rather + # than `.get()`. Only a first open takes the lock, re-checking inside. + def _open_wdl(self, cfg: PieceConfig) -> Optional[WDLFile]: + k = cfg.cache_key + try: + return self._wdl_cache[k] + except KeyError: + pass + with self._open_locks["wdl"]: + try: + return self._wdl_cache[k] + except KeyError: + pass + p = self._find("wdl", cfg.name(), self.WDL_FILE.EXT) + table = self.WDL_FILE(cfg, p, self._block_cache) if p is not None else None + self._wdl_cache[k] = table + return table + + def _open_dtz(self, cfg: PieceConfig) -> Optional[DTZFile]: + k = cfg.cache_key + try: + return self._dtz_cache[k] + except KeyError: + pass + with self._open_locks["dtz"]: + try: + return self._dtz_cache[k] + except KeyError: + pass + p = self._find("dtz", cfg.name(), self.DTZ_FILE.EXT) + table = self.DTZ_FILE(cfg, p, self._block_cache) if p is not None else None + self._dtz_cache[k] = table + return table + + def _open_dtm(self, cfg: PieceConfig) -> Optional[DTMFile]: + k = cfg.cache_key + try: + return self._dtm_cache[k] + except KeyError: + pass + with self._open_locks["dtm"]: + try: + return self._dtm_cache[k] + except KeyError: + pass + p = self._find("dtm", cfg.name(), self.DTM_FILE.EXT) + table = self.DTM_FILE(cfg, p, self._block_cache) if p is not None else None + self._dtm_cache[k] = table + return table + + def _open_dtc(self, cfg: PieceConfig) -> Optional[DTCFile]: + k = cfg.cache_key + try: + return self._dtc_cache[k] + except KeyError: + pass + with self._open_locks["dtc"]: + try: + return self._dtc_cache[k] + except KeyError: + pass + p = self._find("dtc", cfg.name(), self.DTC_FILE.EXT) + table = self.DTC_FILE(cfg, p, self._block_cache) if p is not None else None + self._dtc_cache[k] = table + return table + + def _open_dtm50(self, cfg: PieceConfig) -> Optional[DTM50File]: + k = cfg.cache_key + try: + return self._dtm50_cache[k] + except KeyError: + pass + with self._open_locks["dtm50"]: + try: + return self._dtm50_cache[k] + except KeyError: + pass + p = self._find("dtm50", cfg.name(), self.DTM50_FILE.EXT) + table = self.DTM50_FILE(cfg, p, self._block_cache) if p is not None else None + self._dtm50_cache[k] = table + return table + + def _has_any_table(self, cfg: PieceConfig) -> bool: + return self._open_wdl(cfg) is not None + + def _route_specialized(self, board: chess.Board + ) -> Optional[Tuple[PieceConfig, bool]]: + """The specialized table `board` belongs in, or None for the caller's own + material. A 'p' table and its full twin hold the SAME position, so the + pair is a free preference: take it when on disk, else fall through. A + rights-bearing position exists only in a table carrying those rights, so + rights name their material WHETHER OR NOT it is on disk and a miss + surfaces as a missing table. With both marks, the table carrying both + comes first, then the rights-only one.""" + if board.clean_castling_rights(): + both = specialized_config_from_board(board, True) + if both is not None and self._has_any_table(both[0]): + return both + return specialized_config_from_board(board, False) + paired = specialized_config_from_board(board, True) + if paired is not None and self._has_any_table(paired[0]): + return paired + return None + + def _material_name(self, board: chess.Board) -> str: + """The material the probe looked `board` up under, for error messages: + standing rights name an 'r' material whether or not it is on disk.""" + routed = self._route_specialized(board) + cfg = routed[0] if routed is not None else piece_config_from_board(board)[0] + return cfg.name() + + # --- child construction for the derive / overlay paths --- + def _make_child(self, parent: chess.Board, move: chess.Move + ) -> Tuple[PieceConfig, chess.Board, Optional[int], bool]: + zeroing = parent.is_zeroing(move) + child = parent.copy(stack=False) + child.push(move) # also sets child.ep_square on a double push + + # A move that keeps a pair or a castling right stays in a 'p' or 'r' + # material, which the board-derived config below would miss. + routed = self._route_specialized(child) + if routed is not None: + cfg, mirrored = routed + else: + cfg, mirrored = piece_config_from_board(child) + + if mirrored: + child = mirror_for_canonical(child) + ep = child.ep_square + child.ep_square = None + return cfg, child, ep, zeroing + + # --- WDL --- + def _relax_bound_wdl(self, board: chess.Board, depth: int) -> int: + """Best class a move out of this material reaches. Captures and + promotions only: their children live in a sub-table, so this never + re-enters the frame it is resolving.""" + if depth >= MAX_DERIVE_DEPTH: + return ILLEGAL + b = _internal_board(board) + best = ILLEGAL + for m in b.legal_moves: + if m.promotion is None and not b.is_capture(m): + continue + cfg_c, cboard, cep, _zeroing = self._make_child(b, m) + cw = DRAW if cfg_c.is_bare_kings else self._probe_wdl_impl( + cfg_c, cboard, cep, depth + 1) + if cw == ILLEGAL: + continue + mine = invert_wdl(cw) + if wdl_rank(mine) > wdl_rank(best): + best = mine + return best + + def _raise_by_bound(self, w: WDLFile, frame: int, stored: int, + board: chess.Board, depth: int) -> int: + """A relaxed frame stores no better than the truth, and stores strictly + worse only where the bound above reaches it. ILLEGAL stays ILLEGAL.""" + if not w.is_relaxed[frame] or stored == ILLEGAL: + return stored + bound = self._relax_bound_wdl(board, depth) + return bound if wdl_rank(bound) > wdl_rank(stored) else stored + + def _read_wdl_stored(self, w: Optional[WDLFile], board: chess.Board, + depth: int) -> int: + if w is None: + return 7 # WDL_Stored::ILLEGAL + color = CPP_WHITE if board.turn == WHITE else CPP_BLACK + s = w.read(color, board) + if not w.is_relaxed[color] or s == 7: + return s + if s == 6 or s == 5: # BOUNDARY_WIN / BOUNDARY_LOSS + return s + bound = self._relax_bound_wdl(board, depth) + return bound if wdl_rank(bound) > wdl_rank(s) else s + + def _probe_wdl_internal(self, w: Optional[WDLFile], cfg: PieceConfig, + board: chess.Board, depth: int) -> int: + if w is None: + return ILLEGAL + color = CPP_WHITE if board.turn == WHITE else CPP_BLACK + if w.is_dropped[color]: + if not is_symmetric_material(cfg): + return self._derive_wdl(board, depth) + mp = mirror_for_canonical(board) + mc = CPP_WHITE if mp.turn == WHITE else CPP_BLACK + return self._raise_by_bound(w, mc, wdl_from_storage(w.read(mc, mp)), + board, depth) + return self._raise_by_bound(w, color, wdl_from_storage(w.read(color, board)), + board, depth) + + def _derive_wdl(self, board: chess.Board, depth: int) -> int: + if depth >= MAX_DERIVE_DEPTH: + return ILLEGAL + b = _internal_board(board) + any_legal = have = False + best = LOSE + skipped = _SkippedChildren() + for m in b.legal_moves: + any_legal = True + cfg_c, cboard, cep, zeroing = self._make_child(b, m) + if cfg_c.is_bare_kings: + mw = DRAW + elif zeroing: + cw = self._probe_wdl_impl(cfg_c, cboard, cep, depth + 1) + if cw == ILLEGAL: + skipped.unknown() + continue + mw = invert_wdl(cw) + else: + cs = self._read_wdl_stored(self._open_wdl(cfg_c), cboard, depth + 1) + if cs == 7: + skipped.unknown() + continue + mw = invert_stored(cs) + if wdl_rank(mw) > wdl_rank(best): + best = mw + have = True + if not any_legal: + return LOSE if b.is_check() else DRAW + if not have or skipped.unpin(best): + return ILLEGAL + return best + + def _probe_wdl_impl(self, cfg: PieceConfig, board: chess.Board, + ep_square: Optional[int], depth: int) -> int: + best = self._probe_wdl_internal(self._open_wdl(cfg), cfg, board, depth) + if best == ILLEGAL or ep_square is None: + return best + bcopy, eps = _ep_capture_moves(board, ep_square) + for m in eps: + cfg_c, cboard, _cep, _ = self._make_child(bcopy, m) + cw = DRAW if cfg_c.is_bare_kings else self._probe_wdl_internal( + self._open_wdl(cfg_c), cfg_c, cboard, depth + 1) + if cw == ILLEGAL: + continue + mine = invert_wdl(cw) + if wdl_rank(mine) > wdl_rank(best): + best = mine + return best + + # --- DTZ --- + def _probe_dtz_internal(self, d: Optional[DTZFile], cfg: PieceConfig, + board: chess.Board, wdl: int, depth: int) -> Optional[int]: + if d is None: + return None + color, mp, readable = locate_frame(d, cfg, board, wdl) + if not readable: + return self._derive_dtz(board, wdl, depth) + return d.read(color, board if mp is None else mp, wdl) + + def _derive_dtz(self, board: chess.Board, wdl: int, depth: int) -> Optional[int]: + if depth >= MAX_DERIVE_DEPTH: + return None + assert wdl != DRAW + b = _internal_board(board) + any_legal = have = False + best_wdl, best_dtz = LOSE, 0 + skipped = _SkippedChildren() + for m in b.legal_moves: + any_legal = True + cfg_c, cboard, cep, zeroing = self._make_child(b, m) + if cfg_c.is_bare_kings: + cw, my_dtz = DRAW, 1 + elif zeroing: + if child_class_is_forced(wdl): + cw = WIN + else: + cw = self._probe_wdl_impl(cfg_c, cboard, cep, depth + 1) + if cw == ILLEGAL: + skipped.unknown() + continue + my_dtz = 1 + else: + if child_class_is_forced(wdl): + cw = WIN + else: + cw = self._probe_wdl_internal(self._open_wdl(cfg_c), cfg_c, cboard, depth + 1) + if cw == ILLEGAL: + skipped.unknown() + continue + if below_pinned_class(wdl, dtz_lift(invert_wdl(cw))): + continue + child_dtz = self._probe_dtz_internal(self._open_dtz(cfg_c), cfg_c, cboard, cw, depth + 1) + if child_dtz is None: + skipped.of_dtz_class(invert_wdl(cw)) + continue + my_dtz = 1 + child_dtz + my_wdl = invert_wdl(cw) + if my_dtz > MAX_NON_CURSED_DTZ: + if my_wdl == WIN: + my_wdl = CURSED_WIN + elif my_wdl == LOSE: + my_wdl = BLESSED_LOSS + if not have or prefer_new(my_wdl, my_dtz, best_wdl, best_dtz): + best_wdl, best_dtz, have = my_wdl, my_dtz, True + if not any_legal: + return 0 + if not have or skipped.unpin(best_wdl): + return None + if best_wdl == DRAW: + return 0 + return best_dtz + + # --- DTC (whose unbounded row answers DTZ too) --- + def _probe_dtc_internal(self, c: Optional[DTCFile], cfg: PieceConfig, + board: chess.Board, wdl: int, rule50: int, + depth: int) -> Optional[_DTCCell]: + if c is None: + return None + color, mp, readable = locate_frame(c, cfg, board, wdl) + if not readable: + return self._derive_dtc(board, wdl, rule50, depth) + return c.read(color, board if mp is None else mp, wdl, rule50) + + def _read_dtc_curve(self, c: Optional[DTCFile], cfg: PieceConfig, + board: chess.Board, wdl: int) -> Optional[List[int]]: + """The whole record of a position this table does hold, for a derive to + minimax over. The child keeps the physical material, so the pack its own + config names answers -- this file, or the 'p' table that re-indexes an + opposing pair.""" + if c is None: + return None + color, mp, readable = locate_frame(c, cfg, board, wdl) + if not readable: + return None + return c.read_curve(color, board if mp is None else mp, wdl) + + @staticmethod + def _dtc_move_kind(board: chess.Board, move: chess.Move) -> Tuple[bool, bool]: + """(conversion, push). A capture or promotion converts; a pawn move that + does neither spends one of the budget instead.""" + conversion = move.promotion is not None or board.is_capture(move) + push = not conversion and board.piece_type_at(move.from_square) == chess.PAWN + return conversion, push + + def _child_dtc_cell(self, cfg_c: PieceConfig, cboard: chess.Board, + cep: Optional[int], cw: int, child_rule50: int, + depth: int) -> Optional[_DTCCell]: + """The child's DTC answer with its ep rights folded in. A double push + leaves the opponent a capture the child's own record cannot express, and + the overlay is where that is priced, so a child carrying ep rights + answers through it.""" + if cep is None: + return self._probe_dtc_internal(self._open_dtc(cfg_c), cfg_c, cboard, + cw, child_rule50, depth) + cr = self._probe_impl(cfg_c, cboard, child_rule50, cep, depth) + if not cr.has_dtc or not cr.has_dtz: + return None + if cr.dtc_wdl == DRAW: + return _DTCCell(dtz=cr.dtz) + return _DTCCell(cr.dtc_order, cr.dtc, cr.dtz) + + def _ep_conversion_wins(self, cboard: chess.Board, cep: int, + depth: int) -> Optional[bool]: + """Whether an ep capture out of the child wins for the side holding it. A + capture converts, so it owes no push and lands one ply out -- the + cheapest answer DTC has. A missing sub-table is a third answer rather + than a no, though a capture that does win settles it either way. + `depth` is the child's.""" + bcopy, eps = _ep_capture_moves(cboard, cep) + unknown = False + for mv in eps: + cfg_g, gboard, gep, _zeroing = self._make_child(bcopy, mv) + gw = DRAW if cfg_g.is_bare_kings else self._probe_wdl_impl( + cfg_g, gboard, gep, depth + 1) + if gw == ILLEGAL: + unknown = True + continue + if fold_50mr_wdl(invert_wdl(gw)) == WIN: + return True + return None if unknown else False + + def _derive_dtc(self, board: chess.Board, wdl: int, rule50: int, + depth: int) -> Optional[_DTCCell]: + """DTC by one-ply minimax, for a frame the file does not hold. It never + leaves this table: pushes and quiet moves keep the material, and a + conversion is terminal at value 1 under its own WDL. A winner's push + spends one of the budget and reads one lower; nothing else moves it. + + The class, known before any child is read, says how much of one to + read: a win takes the cheapest budget any move offers, a loss the + budget the most stubborn defence forces.""" + if depth >= MAX_DERIVE_DEPTH: + return None + if wdl == WIN: + return self._derive_dtc_win(board, rule50, depth) + if wdl == LOSE: + return self._derive_dtc_loss(board, rule50, depth) + return self._derive_dtc_cursed(board, wdl, depth) + + def _derive_dtc_win(self, board: chess.Board, rule50: int, + depth: int) -> Optional[_DTCCell]: + b = _internal_board(board) + have = False + best_order = best_value = 0 + budget_plies = dtc_budget_plies(rule50) + unbounded = _UnboundedFold(WIN) + for m in b.legal_moves: + conversion, push = self._dtc_move_kind(b, m) + cfg_c, cboard, cep, _zeroing = self._make_child(b, m) + if cfg_c.is_bare_kings: + continue + cw = self._probe_wdl_impl(cfg_c, cboard, cep, depth + 1) + if cw == ILLEGAL: + return None + if cw != LOSE: + continue + order, value = 0, 1 + if conversion: + unbounded.zeroing_child() + else: + child_rule50 = 0 if push else ( + IGNORE_50MR if rule50 == IGNORE_50MR else rule50 + 1) + cell = self._child_dtc_cell(cfg_c, cboard, cep, cw, + child_rule50, depth + 1) + if cell is None: + return None + if push: + unbounded.zeroing_child() + else: + unbounded.quiet_child(cell.dtz) + if not cell.priced: + continue # that clock has taken this line + order = cell.order + (1 if push else 0) + value = 1 if push else cell.value + 1 + if value > budget_plies: + continue + if not have or order < best_order or (order == best_order + and value < best_value): + best_order, best_value, have = order, value, True + dtz = unbounded.value() + return _DTCCell(best_order, best_value, dtz) if have else _DTCCell(dtz=dtz) + + def _derive_dtc_loss(self, board: chess.Board, rule50: int, + depth: int) -> Optional[_DTCCell]: + """Every move prices a loss, so this one walks the children's whole + records: the budget it settles on is the highest any defence needs, and + the value there is the longest wait among them, which a child's own + cheapest budget does not report. Every child is a win for the other + side, so none needs its class read.""" + b = _internal_board(board) + worst = [0] * DTC_PACK_LAYERS + drawn = [False] * DTC_PACK_LAYERS + any_legal = False + unbounded = _UnboundedFold(LOSE) + + def raise_at(k: int, val: int) -> None: + if val > MAX_NON_CURSED_DTZ: + drawn[k] = True + elif val > worst[k]: + worst[k] = val + + for m in b.legal_moves: + any_legal = True + conversion, push = self._dtc_move_kind(b, m) + cfg_c, cboard, cep, _zeroing = self._make_child(b, m) + if conversion or cfg_c.is_bare_kings: + for k in range(DTC_PACK_LAYERS): + raise_at(k, 1) + unbounded.zeroing_child() + continue + if cep is not None: + ep_wins = self._ep_conversion_wins(cboard, cep, depth + 1) + if ep_wins is None: + return None + if ep_wins: + assert push # only a double push leaves ep rights behind + for k in range(DTC_PACK_LAYERS): + raise_at(k, 1) + unbounded.zeroing_child() + continue + + curve = self._read_dtc_curve(self._open_dtc(cfg_c), cfg_c, cboard, WIN) + if curve is None: + return None + if push: + unbounded.zeroing_child() + else: + unbounded.quiet_child(curve[DTC_BUDGET_LAYERS]) + for k in range(DTC_PACK_LAYERS): + v = curve[k] + if v == DTC_DRAWN: + drawn[k] = True + else: + raise_at(k, 1 if push else v + 1) + + if not any_legal: + return _DTCCell(0, 0, 0) # mate: converted, nothing owed + dtz = unbounded.value() + budget_plies = dtc_budget_plies(rule50) + for k in range(DTC_PACK_LAYERS): + if not drawn[k] and worst[k] <= budget_plies: + return _DTCCell(k, worst[k], dtz) + return _DTCCell(dtz=dtz) + + def _derive_dtc_cursed(self, board: chess.Board, wdl: int, + depth: int) -> Optional[_DTCCell]: + """A cursed class has no budget to look for, none of them settling it, + so the unbounded row is the whole of what this derives.""" + b = _internal_board(board) + winning = (wdl == CURSED_WIN) + unbounded = _UnboundedFold(wdl) + any_legal = False + for m in b.legal_moves: + any_legal = True + conversion, push = self._dtc_move_kind(b, m) + cfg_c, cboard, cep, _zeroing = self._make_child(b, m) + if cfg_c.is_bare_kings: + if winning: + continue # a draw no cursed win would take + return None + cw = self._probe_wdl_impl(cfg_c, cboard, cep, depth + 1) + if cw == ILLEGAL: + return None + if winning and cw not in (LOSE, BLESSED_LOSS): + continue + if conversion or push: + unbounded.zeroing_child() + continue + cell = self._probe_dtc_internal(self._open_dtc(cfg_c), cfg_c, cboard, + cw, IGNORE_50MR, depth + 1) + if cell is None: + return None + unbounded.quiet_child(cell.dtz) + return _DTCCell(dtz=unbounded.value()) if any_legal else _DTCCell() + + # --- DTM (the standalone `dtm/` table) --- + def _probe_dtm_internal(self, d: Optional[DTMFile], cfg: PieceConfig, + board: chess.Board, wdl: int, depth: int) -> Optional[int]: + if d is None: + return None + color, mp, readable = locate_frame(d, cfg, board, wdl) + if not readable: + return self._derive_dtm(board, wdl, depth) + return d.read(color, board if mp is None else mp, wdl) + + def _derive_dtm(self, board: chess.Board, wdl: int, depth: int) -> Optional[int]: + """DTM by one-ply minimax for a dropped frame of the DTM table. 50MR-free, + so a cursed win mates like any other -- which is what folding the pin + expresses, and why no child needs its clock tracked.""" + if depth >= MAX_DERIVE_DEPTH: + return None + pinned = fold_dtm_wdl(wdl) + assert pinned != DRAW + b = _internal_board(board) + any_legal = have = False + best_wdl, best_dtm = LOSE, 0 + skipped = _SkippedChildren() + for mv in b.legal_moves: + any_legal = True + cfg_c, cboard, cep, _zeroing = self._make_child(b, mv) + if cfg_c.is_bare_kings: + cw, cd = DRAW, 0 + elif cep is not None: + cr = self._probe_impl(cfg_c, cboard, IGNORE_50MR, cep, depth + 1) + if cr.status != "ok" or cr.wdl == ILLEGAL: + skipped.unknown() + continue + if not cr.has_dtm: + skipped.of_class(invert_wdl(fold_dtm_wdl(cr.wdl))) + continue + cw, cd = cr.wdl, cr.dtm + else: + if child_class_is_forced(pinned): + cw = WIN + else: + cw = self._probe_wdl_internal(self._open_wdl(cfg_c), cfg_c, + cboard, depth + 1) + if cw == ILLEGAL: + skipped.unknown() + continue + if below_pinned_class(pinned, invert_wdl(fold_dtm_wdl(cw))): + continue + child_dtm = self._probe_dtm_internal(self._open_dtm(cfg_c), cfg_c, + cboard, cw, depth + 1) + if child_dtm is None: + skipped.of_class(invert_wdl(fold_dtm_wdl(cw))) + continue + cd = child_dtm + my_wdl = invert_wdl(fold_dtm_wdl(cw)) + my_dtm = 1 + cd + if not have or prefer_new(my_wdl, my_dtm, best_wdl, best_dtm): + best_wdl, best_dtm, have = my_wdl, my_dtm, True + if not any_legal: + return 0 + if not have or skipped.unpin(best_wdl): + return None + if best_wdl in (WIN, LOSE): + return best_dtm + return 0 + + # --- DTM50 (whose flat layer answers DTM too) --- + def _probe_dtm50_internal(self, m: Optional[DTM50File], cfg: PieceConfig, + board: chess.Board, wdl: int, rule50: int, + depth: int) -> _DTM50Result: + flat = (rule50 == IGNORE_50MR) + if not flat and rule50 >= DTM50_HMC_COUNT: + return _DTM50Result(DRAW, 0) + if m is None: + return _DTM50Result(ILLEGAL, 0) + + def from_cell(cell: Tuple[int, int]) -> _DTM50Result: + value, flip = cell + if value == DTM50_DRAWN: + cls, value = DRAW, 0 + else: + cls = wdl if flat else fold_50mr_wdl(wdl) + if not flat: + return _DTM50Result(cls, value) + dtz = dtz_from_draw_flip(flip, wdl, board) + if dtz is None: + return _DTM50Result(cls, value) + return _DTM50Result(cls, value, True, dtz) + + color, mp, readable = locate_frame(m, cfg, board, wdl) + if not readable: + return (self._derive_dtm50_flat(board, wdl, depth) if flat + else self._derive_dtm50(board, wdl, rule50, depth)) + return from_cell(m.read(color, board if mp is None else mp, wdl, rule50)) + + def _derive_dtm50_flat(self, board: chess.Board, wdl: int, + depth: int) -> _DTM50Result: + """Reconstruct the pack's dropped layer-0 frame with an unbounded, + one-ply DTM minimax. The result carries DTZ, just as a cell read derives + it from the flip.""" + if depth >= MAX_DERIVE_DEPTH: + return _DTM50Result(ILLEGAL, 0) + pinned = fold_dtm_wdl(wdl) + assert pinned != DRAW + b = _internal_board(board) + any_legal = have = False + best_wdl, best_dtm = LOSE, 0 + dtz = _DTZMinimax() + skipped = _SkippedChildren() + for mv in b.legal_moves: + any_legal = True + cfg_c, cboard, cep, zeroing = self._make_child(b, mv) + if cfg_c.is_bare_kings: + cw, cd = DRAW, 0 + dtz.zeroing_child(DRAW) + elif cep is not None: + cr = self._probe_impl(cfg_c, cboard, IGNORE_50MR, cep, depth + 1) + if cr.status != "ok" or cr.wdl == ILLEGAL: + skipped.unknown() + dtz.unwalked() + continue + dtz.zeroing_child(cr.wdl) # a double push zeroes the clock + if not cr.has_dtm: + skipped.of_class(invert_wdl(fold_dtm_wdl(cr.wdl))) + continue + cw, cd = cr.wdl, cr.dtm + else: + if child_class_is_forced(wdl): + raw_wdl = WIN + else: + raw_wdl = self._probe_wdl_internal(self._open_wdl(cfg_c), cfg_c, + cboard, depth + 1) + if raw_wdl == ILLEGAL: + skipped.unknown() + dtz.unwalked() + continue + if below_pinned_class(pinned, invert_wdl(fold_dtm_wdl(raw_wdl))): + continue + child = self._probe_dtm50_internal(self._open_dtm50(cfg_c), cfg_c, + cboard, raw_wdl, IGNORE_50MR, depth + 1) + if zeroing: + dtz.zeroing_child(raw_wdl) + else: + dtz.quiet_child(raw_wdl, child) + if child.wdl == ILLEGAL: + skipped.of_class(invert_wdl(fold_dtm_wdl(raw_wdl))) + continue + cw, cd = child.wdl, child.dtm + my_wdl = invert_wdl(fold_dtm_wdl(cw)) + my_dtm = 1 + cd + if not have or prefer_new(my_wdl, my_dtm, best_wdl, best_dtm): + best_wdl, best_dtm, have = my_wdl, my_dtm, True + if not any_legal: + return dtz.finish(LOSE if b.is_check() else DRAW, 0, False) + if not have or skipped.unpin(best_wdl): + return dtz.finish(ILLEGAL, 0, True) + if best_wdl in (WIN, LOSE): + return dtz.finish(best_wdl, best_dtm, True) + return dtz.finish(DRAW, 0, True) + + def _derive_dtm50(self, board: chess.Board, wdl: int, rule50: int, + depth: int) -> _DTM50Result: + """rule50-aware derive: per-child hmc (zeroing resets, quiet increments); + once >=100, the move is DRAW unless it mates. No DTZ rides along: + zeroing is clock-free, so _probe_impl prices it once off the layer-0 + probe and drops whatever a layered one finds.""" + if depth >= MAX_DERIVE_DEPTH: + return _DTM50Result(ILLEGAL, 0) + assert fold_50mr_wdl(wdl) != DRAW + b = _internal_board(board) + any_legal = have = False + best_wdl, best_dtm = LOSE, 0 + skipped = _SkippedChildren() + for mv in b.legal_moves: + any_legal = True + cfg_c, cboard, cep, zeroing = self._make_child(b, mv) + child_rule50 = 0 if zeroing else rule50 + 1 + if cfg_c.is_bare_kings: + cd_wdl, cd_dtm = DRAW, 0 + elif child_rule50 >= DTM50_HMC_COUNT: + cd_wdl, cd_dtm = (LOSE, 0) if _is_checkmate(cboard) else (DRAW, 0) + elif cep is not None: + cr = self._probe_impl(cfg_c, cboard, child_rule50, cep, depth + 1) + if cr.status != "ok" or cr.wdl == ILLEGAL: + skipped.unknown() + continue + if not cr.has_dtm50: + skipped.of_class(invert_wdl(fold_50mr_wdl(cr.wdl))) + continue + cd_wdl, cd_dtm = cr.dtm50_wdl, cr.dtm50 + else: + if child_class_is_forced(wdl): + cw = WIN + else: + cw = self._probe_wdl_internal(self._open_wdl(cfg_c), cfg_c, cboard, depth + 1) + if cw == ILLEGAL: + skipped.unknown() + continue + if below_pinned_class(wdl, invert_wdl(cw)): + continue + child = self._probe_dtm50_internal(self._open_dtm50(cfg_c), cfg_c, cboard, + cw, child_rule50, depth + 1) + if child.wdl == ILLEGAL: + skipped.of_class(invert_wdl(fold_50mr_wdl(cw))) + continue + cd_wdl, cd_dtm = child.wdl, child.dtm + my_wdl = invert_wdl(fold_50mr_wdl(cd_wdl)) + my_dtm = 1 + cd_dtm + if not have or prefer_new(my_wdl, my_dtm, best_wdl, best_dtm): + best_wdl, best_dtm, have = my_wdl, my_dtm, True + if not any_legal: + return _DTM50Result(LOSE if b.is_check() else DRAW, 0) + if not have or skipped.unpin(best_wdl): + return _DTM50Result(ILLEGAL, 0) + if best_wdl in (WIN, LOSE): + return _DTM50Result(best_wdl, best_dtm) + return _DTM50Result(DRAW, 0) + + # --- combined probe (mirrors probe.cpp's probe_impl, with ep overlay) --- + def _probe_impl(self, cfg: PieceConfig, board: chess.Board, rule50: int, + ep_square: Optional[int], depth: int) -> ProbeResult: + r = ProbeResult() + w = self._open_wdl(cfg) + rule50_drawn = (rule50 != IGNORE_50MR and rule50 >= DTM50_HMC_COUNT) + if w is None and not rule50_drawn: + return r # tb_not_found + r.status = "ok" + if w is not None: + r.wdl = self._probe_wdl_internal(w, cfg, board, depth) + if r.wdl == ILLEGAL: + return r + if r.wdl == DRAW: + r.has_dtm = True + r.has_dtz = True + r.has_dtc = True + r.dtc_wdl = DRAW + if rule50 != IGNORE_50MR: + r.dtm50_wdl = DRAW + r.has_dtm50 = True + m50 = None + else: + m50 = self._open_dtm50(cfg) + if m50 is None: + m = self._open_dtm(cfg) + if m is not None: + dtm = self._probe_dtm_internal(m, cfg, board, r.wdl, depth) + r.has_dtm = dtm is not None + if dtm is not None: + r.dtm = dtm + if m50 is not None: # never for a DRAW, which is already answered + d50 = self._probe_dtm50_internal(m50, cfg, board, r.wdl, IGNORE_50MR, depth) + r.dtm = d50.dtm + r.has_dtm = (d50.wdl != ILLEGAL) + r.has_dtz = d50.has_dtz + r.dtz = d50.dtz + if not material_has_pawns(cfg): + _fill_pawnless_dtc_from_dtz(r, rule50) + if rule50_drawn: + # Mate outruns the claim, and a LOSE at flat 0 is one; an + # unpriced distance tells them apart from neither. + if r.has_dtm or r.wdl != LOSE: + r.dtm50_wdl = LOSE if (r.wdl == LOSE and r.dtm == 0) else DRAW + r.dtm50 = 0 + r.has_dtm50 = True + elif rule50 != IGNORE_50MR: + # Cursed/blessed are DRAW at every layer; the clock is never read. + if fold_50mr_wdl(r.wdl) == DRAW: + r.dtm50_wdl = DRAW + r.dtm50 = 0 + r.has_dtm50 = True + elif r.has_dtm and dtm50_layer_pinned_by_dtm(r.wdl, r.dtm, rule50): + r.dtm50_wdl = r.wdl # plain W/L, so the DTM50 fold is the identity + r.dtm50 = r.dtm + r.has_dtm50 = True + elif layer_busted_by_dtz(r.wdl, r.dtz, rule50): + r.dtm50_wdl = DRAW + r.dtm50 = 0 + r.has_dtm50 = True + else: + rr = self._probe_dtm50_internal(m50, cfg, board, r.wdl, rule50, depth) + r.dtm50_wdl = rr.wdl + r.dtm50 = rr.dtm + r.has_dtm50 = (rr.wdl != ILLEGAL) + # DTC next: its pack answers both metrics, the budget the caller's + # clock picks and the unbounded row that is the DTZ table it embeds. + # A cursed class or an outrun clock leaves no budget to pick, which + # the read reports by pricing nothing, and a DRAW is priced above + # without opening anything. + if not r.has_dtc and material_has_pawns(cfg): + c = self._open_dtc(cfg) + if c is not None: + cell = self._probe_dtc_internal(c, cfg, board, r.wdl, rule50, depth) + if cell is not None: + r.has_dtc = True + r.dtc_wdl = r.wdl if cell.priced else DRAW + r.dtc_order = cell.order if cell.priced else 0 + r.dtc = cell.value if cell.priced else 0 + # A record carries that row and so does the derive, so a + # decisive class always has one. + assert cell.dtz != DTC_DRAWN + r.has_dtz = True + r.dtz = cell.dtz + # What the packs above left: the DTM50 one stops at the cursed band, + # and a DTC one answers only the materials it is built for. + if not r.has_dtz: + d = self._open_dtz(cfg) + if d is not None: + dtz = self._probe_dtz_internal(d, cfg, board, r.wdl, depth) + if dtz is not None: + r.has_dtz = True + r.dtz = dtz + # A standalone DTZ is the last pack that can supply the direct + # pawnless answer. DTM50 already took this path as soon as its + # embedded DTZ was read above. + if not r.has_dtc and not material_has_pawns(cfg): + _fill_pawnless_dtc_from_dtz(r, rule50) + + if ep_square is None: + return r + bcopy, eps = _ep_capture_moves(board, ep_square) + if not eps: + return r + + best = r + best_dtz_wdl = r.wdl + best_dtz = r.dtz if r.has_dtz else 0 + best_dtm_wdl = fold_dtm_wdl(r.wdl) + best_dtm = r.dtm if r.has_dtm else 0 + best_dtm50_wdl = r.dtm50_wdl if r.has_dtm50 else fold_50mr_wdl(r.wdl) + best_dtm50 = r.dtm50 if r.has_dtm50 else 0 + # DTC compares on its own class, not the clock-independent one: a base + # this clock has drawn must lose to an ep conversion that still wins. + best_dtc_wdl = r.dtc_wdl if r.has_dtc else r.wdl + best_dtc_order = r.dtc_order if r.has_dtc else 0 + best_dtc = r.dtc if r.has_dtc else 0 + for mv in eps: + cfg_c, cboard, _cep, _ = self._make_child(bcopy, mv) + if cfg_c.is_bare_kings: + cr = ProbeResult() + cr.status = "ok" + cr.wdl = DRAW + cr.has_dtz = best.has_dtz; cr.dtz = 0 + cr.has_dtm = best.has_dtm; cr.dtm = 0 + cr.has_dtm50 = best.has_dtm50; cr.dtm50_wdl = DRAW; cr.dtm50 = 0 + else: + cr = self._probe_impl(cfg_c, cboard, 0, None, depth + 1) # ep is zeroing + if cr.status != "ok" or cr.wdl == ILLEGAL: + return ProbeResult() + my_wdl = invert_wdl(cr.wdl) + if wdl_rank(my_wdl) > wdl_rank(best.wdl): + best.wdl = my_wdl + # An ep capture zeroes, so its dtz is 1 whatever the child + # holds. The base value has to be known only to break a tie in class + # -- outranked, it does not enter, which is how a cursed base the + # pack cannot pin still reports a dtz once ep lifts it. + ep_outranks_dtz = wdl_rank(my_wdl) > wdl_rank(best_dtz_wdl) + if ep_outranks_dtz or (best.has_dtz + and prefer_new(my_wdl, 1, best_dtz_wdl, best_dtz)): + best_dtz_wdl, best_dtz = my_wdl, 1 + best.dtz = 0 if my_wdl == DRAW else 1 + best.has_dtz = True + if best.has_dtm and cr.has_dtm: + my_dtm_wdl = fold_dtm_wdl(my_wdl) + my_dtm = 1 + cr.dtm + if prefer_new(my_dtm_wdl, my_dtm, best_dtm_wdl, best_dtm): + best_dtm_wdl, best_dtm = my_dtm_wdl, my_dtm + best.dtm = my_dtm if my_dtm_wdl in (WIN, LOSE) else 0 + # An ep capture is a conversion: it owes no push and lands one ply + # out, so (0, 1) needs no table to know, and the base value enters + # only to break a tie in class. A conversion is terminal to DTC, so + # its class is the child's WDL folded to what a layer holds, as the + # generator classifies one. + my_dtc_wdl = fold_50mr_wdl(invert_wdl(cr.wdl)) + if (wdl_rank(my_dtc_wdl) > wdl_rank(best_dtc_wdl) + or (best.has_dtc and prefer_new_dtc(my_dtc_wdl, 0, 1, + best_dtc_wdl, best_dtc_order, + best_dtc))): + best_dtc_wdl, best_dtc_order, best_dtc = my_dtc_wdl, 0, 1 + best.has_dtc = True + best.dtc_wdl = my_dtc_wdl + best.dtc_order = 0 + best.dtc = 1 if my_dtc_wdl != DRAW else 0 + if best.has_dtm50 and cr.has_dtm50: + my_dtm50_wdl = invert_wdl(cr.dtm50_wdl) + my_dtm50 = 1 + cr.dtm50 + if prefer_new(my_dtm50_wdl, my_dtm50, best_dtm50_wdl, best_dtm50): + best_dtm50_wdl, best_dtm50 = my_dtm50_wdl, my_dtm50 + best.dtm50_wdl = my_dtm50_wdl + best.dtm50 = my_dtm50 if my_dtm50_wdl in (WIN, LOSE) else 0 + return best + + # --- public API --- + def probe(self, board: chess.Board, rule50: int = 0) -> ProbeResult: + """Full probe of `board`. `rule50` (the halfmove clock) selects the DTM50 + layer. Returns a :class:`ProbeResult`; its ``status`` is ``"ok"`` or + ``"tb_not_found"``. A board with castling rights is answered only by an + 'r' table carrying those rights. + + Safe to call concurrently. Every other probe method funnels through + here, so registering as a reader covers the whole walk; the registration + only ever blocks a concurrent :meth:`close`.""" + with self._read_condition: + self._read_count += 1 + try: + routed = self._route_specialized(board) + if routed is not None: + cfg, mirrored = routed + else: + cfg, mirrored = piece_config_from_board(board) + cboard = mirror_for_canonical(board) if mirrored else board.copy(stack=False) + # ep travels as an overlay, not on the board. + ep = cboard.ep_square + cboard.ep_square = None + return self._probe_impl(cfg, cboard, rule50, ep, 0) + finally: + with self._read_condition: + self._read_count -= 1 + self._read_condition.notify_all() + + def _require(self, board: chess.Board) -> ProbeResult: + r = self.probe(board) + if r.status == "tb_not_found": + raise MissingTableError( + f"no chesstb table for {self._material_name(board)}") + if r.wdl == ILLEGAL: + # Tables exist for the material but cannot resolve this cell: a + # dropped color is rebuilt by one-ply minimax, and that needs every + # capture/promotion sub-table the walk reaches. + raise MissingTableError( + f"chesstb tables for {self._material_name(board)} " + "cannot resolve this position") + return r + + def probe_wdl(self, board: chess.Board) -> int: + """5-class WDL as a signed int: +2 win, +1 cursed win, 0 draw, + -1 blessed loss, -2 loss. Raises :class:`MissingTableError` if no table + for the position.""" + return _WDL_SIGNED[self._require(board).wdl] + + def get_wdl(self, board: chess.Board, default: Any = None) -> Any: + try: + return self.probe_wdl(board) + except MissingTableError: + return default + + def probe_dtz(self, board: chess.Board) -> int: + """Signed distance to zeroing: +N = side to move reaches a capture, + promotion or pawn move toward a win in N plies, -N toward a loss, 0 = + draw. Measures what :meth:`chess.syzygy.Tablebase.probe_dtz` does but is + not interchangeable: syzygy bases its cursed band off 100, so a + magnitude carries the class; here the class stays in WDL. + """ + r = self._require(board) + if not r.has_dtz: + raise MissingTableError("DTZ table unavailable") + return _signed(r.dtz, r.wdl) + + def get_dtz(self, board: chess.Board, default: Any = None) -> Any: + try: + return self.probe_dtz(board) + except MissingTableError: + return default + + def probe_dtc(self, board: chess.Board, + rule50: Optional[int] = None) -> Tuple[int, int]: + """Distance to conversion at the board's halfmove clock (or `rule50`), + pricing pawn pushes separately from waiting. Returns + ``(pushes_owed, signed_plies)``: the pushes the winning side still owes + before a capture or promotion, and the signed plies to the next zeroing + move on the line that owes them. + + Pushes are the primary key, so a tight clock forces the trade the other + way; where no budget fits it the answer is a 50MR draw, ``(0, 0)``. + Pawnless materials carry no pack: the answer is DTZ's own number at + nothing owed.""" + hmc = board.halfmove_clock if rule50 is None else rule50 + r = self.probe(board, hmc) + if r.status == "tb_not_found": + cfg, _ = piece_config_from_board(board) + raise MissingTableError(f"no chesstb table for {cfg.name()}") + if not r.has_dtc: + raise MissingTableError("DTC unavailable") + return (r.dtc_order, _signed(r.dtc, r.dtc_wdl)) + + def probe_dtm(self, board: chess.Board) -> int: + """Signed distance-to-mate, ignoring the 50-move rule.""" + r = self._require(board) + if not r.has_dtm: + raise MissingTableError("DTM unavailable") + return _signed(r.dtm, r.wdl) + + def get_dtm(self, board: chess.Board, default: Any = None) -> Any: + try: + return self.probe_dtm(board) + except MissingTableError: + return default + + def probe_dtm50(self, board: chess.Board, rule50: Optional[int] = None) -> int: + """Signed 50-move-rule-aware distance to mate at the board's halfmove + clock (or `rule50` if given), ``0`` where that clock has taken the win; + cursed/blessed both collapse to draw under the 50-move rule.""" + hmc = board.halfmove_clock if rule50 is None else rule50 + cfg, _ = piece_config_from_board(board) + r = self.probe(board, hmc) + if r.status == "tb_not_found": + raise MissingTableError(f"no chesstb table for {cfg.name()}") + if not r.has_dtm50: + raise MissingTableError("DTM50 unavailable") + return _signed(r.dtm50, r.dtm50_wdl) + + +def open_tablebase(directory: str, *, + block_cache_bytes: int = DEFAULT_BLOCK_CACHE_BYTES) -> Tablebase: + """Open a directory tree of chesstb tables (``wdl/``, ``dtz/``, ``dtc/``, + ``dtm/``, ``dtm50/`` subdirectories, or table files directly under + `directory`). + + Decoded blocks are kept in an LRU cache bounded by `block_cache_bytes`.""" + return Tablebase(directory, block_cache_bytes=block_cache_bytes) diff --git a/data/chesstb/dtc/KPK.lzdtc b/data/chesstb/dtc/KPK.lzdtc new file mode 100644 index 0000000000000000000000000000000000000000..d378ad3656dc089946349df84d6525b77a6d207f GIT binary patch literal 6984 zcmb7}V^<{rqlHhl?M`-+HPvadZQHhOd(u=VPdH8HWZO7lYO2YeG~vGQy}#h@wf3|2 zhvy&ckRRh5hyVZp^q&F%FaQAdfAPO5(SQM@kpACB2fza00f+!(04e|-fcYN_7l02S z1P}udF)(od8|JmwxY6ZG^203xCYy+fy3>6x-n@G*J0LciJQ5Z+2y>H z(b}`_C6!e4mGu6W>aZcqJo*+$!Af5396uGgU8BCqe!yDA`S{^Ps;KPRd1iG+ELsoN zemT>mRFLEy=boeKyu&t3NPux|U3UnBTcg2ZrOJa?@rGZ~ucVq3@-85q^H)sM(Rj1J#QOy&V%Y>168caXLY2*eCRj~H*~=DG4{G2NIvf+Pr9h(p z6%OTtwnF#Qngq-`e4C?$E~cquPg7Imrw%aCAr4DbOa)R@6$DsG-u+H zV>Dc&l(y1n1&&W@gTvZb7pq|o@OW~b?M;WhK#aj#@4uZ09F^PslJco1%SJZM-BHr? za@6L+YaE0d0(L7=XRO3G1vyc3 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or pawn +move), a **DTC** pack pricing pawn pushes separately from waiting, and a +**DTM50** pack giving both the unbounded **DTM** (depth to mate) and the exact +50-move-rule DTM at any halfmove clock. Where no pack is present, a standalone +**DTM** table answers the unbounded mate distance on its own. A rook still +holding a castling right is a dimension of the index, so a position with rights +is answered only from a table carrying them -- chesstb writes those materials +with a lowercase ``r``, as in ``KrK``. + +Table files are looked up in the ``wdl/``, ``dtz/``, ``dtc/``, ``dtm/`` and +``dtm50/`` subdirectories of each search directory, and in the directory +itself. Each pack embeds an unbounded table and so makes it redundant -- the +DTM50 pack the standalone DTM, the DTC pack the DTZ -- and a material shipping +both is read from the pack alone. + +DTZ measures the same thing as syzygy's, but encodes it differently and the two +are not interchangeable: syzygy bases its cursed band off 100, so a DTZ magnitude +carries the WDL class along with the count, whereas a chesstb DTZ is a plain +distance in every class, the class being WDL's alone. + +**DTC** answers a pair at a given halfmove clock: how many pawn pushes the +winning side still owes before a conversion (a capture or a promotion), and the +plies to the next zeroing move on the line that owes them. The key is pushes +first, then plies, which is what DTZ cannot express -- it prices every push at 1 +and so reads 1 almost everywhere a pawn can move. Fewer pushes cost a longer +wait, so a tighter clock forces the trade the other way, and where no budget +fits the clock the answer is a 50-move draw. Packs exist for pawnful materials; +for a pawnless one every zeroing move is already a conversion, so the answer is +DTZ's own number at nothing owed. + +Probes assume a legal position -- both kings present, the side not to move not +in check, no pawn outside ranks 2-7 -- and do not validate it. Probing +anything else is undefined: it reads whatever cell the placement maps to, or +raises out of the indexer. Screen untrusted input with +:func:`chess.Board.is_valid` first. A position with standing castling rights is +looked up under its rights-bearing material whether or not that table is on +disk, so a miss there is reported as :class:`~chess.chesstb.MissingTableError`. + +This is a pure-Python prober (it depends only on the standard library); no +native extension is required. Where `python-lz4 +`_ is installed it is used for WDL blocks, which +is faster and releases the GIL, but nothing needs it. + +.. code-block:: python + + import chess + import chess.chesstb + + with chess.chesstb.open_tablebase("data/chesstb") as tablebase: + board = chess.Board("8/8/8/5k2/8/8/1Q6/K7 w - - 0 1") + print(tablebase.probe_wdl(board)) # 2 (+2 win .. -2 loss) + print(tablebase.probe_dtz(board)) # 19 (signed distance to zeroing) + print(tablebase.probe_dtm(board)) # 19 (signed distance to mate) + print(tablebase.probe_dtm50(board)) # 19 (rule-true signed distance) + print(tablebase.probe_dtc(board)) # (0, 19): (pushes, signed plies) + + board = chess.Board("8/8/8/k7/8/8/K4P2/8 w - - 0 1") + print(tablebase.probe_dtc(board)) # (4, 23): four pushes, 23 plies + print(tablebase.probe_dtc(board, 80)) # (5, 19): tighter clock, one push more + print(tablebase.probe_dtc(board, 95)) # (0, 0): that clock has taken the win + +.. warning:: + Maliciously crafted tablebase files may cause denial of service. + +.. autofunction:: chess.chesstb.open_tablebase + +.. autoclass:: chess.chesstb.Tablebase + :members: probe_wdl, get_wdl, probe_dtz, get_dtz, probe_dtc, probe_dtm, get_dtm, probe_dtm50, probe, add_directory, close + +.. autoclass:: chess.chesstb.ProbeResult + :members: + +.. autoexception:: chess.chesstb.MissingTableError diff --git a/docs/index.rst b/docs/index.rst index da8558da6..efee8528f 100644 --- a/docs/index.rst +++ b/docs/index.rst @@ -11,6 +11,7 @@ Contents polyglot gaviota syzygy + chesstb engine svg variant diff --git a/test.py b/test.py index cc8a95b7c..2b7411b64 100755 --- a/test.py +++ b/test.py @@ -6,13 +6,16 @@ import os import os.path import platform +import struct import sys import tempfile import textwrap +import threading import unittest import io import chess +import chess.chesstb import chess.gaviota import chess.engine import chess.pgn @@ -4955,6 +4958,701 @@ def test_antichess_pgn(self): self.assertEqual(game.end().board().fen(), "8/6k1/3K4/8/8/3k4/8/8 w - - 4 33") +class ChesstbTestCase(unittest.TestCase): + + def open_without_pack(self): + # A tablebase with the DTM50 pack out of the search path, which is how + # material shipping no pack is probed: the mate distance has to come + # from the standalone dtm/ table instead of the pack's flat layer. + tables = chess.chesstb.open_tablebase("data/chesstb") + tables.dirs["dtm50"].clear() + return tables + + # --- The four table kinds, and how a directory is searched for them. --- + + def test_table_kinds(self): + # One file class and one search subdirectory per kind. DTZ and DTM share + # one on-disk layout and so one reader (_RankFile); the value decode is + # the whole of what separates them, so it is asserted directly rather + # than through a probe that could pass for other reasons. DTC and DTM50 + # likewise share the changepoint container (_LayeredFile) and differ in + # what a record means, which the DTC tests below cover. + classes = [chess.chesstb.WDLFile, chess.chesstb.DTZFile, + chess.chesstb.DTCFile, chess.chesstb.DTMFile, + chess.chesstb.DTM50File] + self.assertEqual([c.KIND.lower() for c in classes], + list(chess.chesstb.Tablebase.KINDS)) + self.assertEqual(len({c.MAGIC for c in classes}), len(classes)) + self.assertEqual([c.EXT for c in classes], + [".lzw", ".lzdtz", ".lzdtc", ".lzdtm", ".lzdtm50"]) + # A stored 9 under a WIN: DTZ keeps the count, DTM doubles it and adds + # the ply the class implies. + self.assertEqual(chess.chesstb.DTZFile._value_from_storage(9, chess.chesstb.WIN, 1), 9) + self.assertEqual(chess.chesstb.DTMFile._value_from_storage(9, chess.chesstb.WIN, 1), 19) + self.assertEqual(chess.chesstb.DTMFile._value_from_storage(9, chess.chesstb.LOSE, 1), 18) + # Cell width changes the DTZ decode and never the DTM one, which is why + # only one of the two reads it. + self.assertEqual(chess.chesstb.DTZFile._value_from_storage(9, chess.chesstb.CURSED_WIN, 1), 17) + self.assertEqual(chess.chesstb.DTZFile._value_from_storage(9, chess.chesstb.CURSED_WIN, 2), 9) + + def test_search_directories(self): + with chess.chesstb.open_tablebase("data/chesstb") as tables: + # Every kind looks in its own subdirectory first, then in the + # directory itself, so a flat dump of table files is also probeable. + for kind in chess.chesstb.Tablebase.KINDS: + self.assertEqual(tables.dirs[kind], + [os.path.join("data/chesstb", kind), "data/chesstb"]) + tables.add_directory("data") + for kind in chess.chesstb.Tablebase.KINDS: + self.assertEqual(tables.dirs[kind][-2:], [os.path.join("data", kind), "data"]) + + # A directory holding no tables at all is not an error, just an absence. + with tempfile.TemporaryDirectory() as empty: + with chess.chesstb.open_tablebase(empty) as tables: + board = chess.Board("8/8/8/5k2/8/8/1Q6/K7 w - - 0 1") + self.assertIsNone(tables.get_wdl(board)) + self.assertEqual(tables.probe(board).status, "tb_not_found") + + # --- What a probe answers, and in what convention. --- + + def test_probe(self): + with chess.chesstb.open_tablebase("data/chesstb") as tables: + # KQK: mate distances and the signed WDL convention. + board = chess.Board("8/8/8/5k2/8/8/1Q6/K7 w - - 0 1") + self.assertEqual(tables.probe_wdl(board), 2) + self.assertEqual(tables.probe_dtz(board), 19) + self.assertEqual(tables.probe_dtm(board), 19) + self.assertEqual(tables.probe_dtm50(board), 19) + + board = chess.Board("8/8/8/5k2/8/8/1Q6/K7 b - - 0 1") + self.assertEqual(tables.probe_wdl(board), -2) + self.assertEqual(tables.probe_dtz(board), -20) + self.assertEqual(tables.probe_dtm(board), -20) # signed: losing side + self.assertEqual(tables.probe_dtm50(board), -20) + + def test_mirrored_material(self): + # Stronger side is Black: internally mirrored to the canonical KQK table. + with chess.chesstb.open_tablebase("data/chesstb") as tables: + self.assertEqual(tables.probe_wdl(chess.Board("k7/1q6/8/5K2/8/8/8/8 b - - 0 1")), 2) + + def test_opposing_pair_child_is_not_bare_kings(self): + # An opposing-pair config counts only its free pieces, so KpKp sits at + # num_pieces == 2 while holding four: it must not be read as KK (an + # unconditional draw) when the walk routes a child into a 'p' table. + with chess.chesstb.open_tablebase("data/chesstb") as tables: + tables._has_any_table = lambda cfg: cfg.has_pair # pretend KpKp is on disk + board = chess.Board("8/8/8/4p3/4P3/8/8/K6k w - - 0 1") + cfg, _, _, _ = tables._make_child(board, chess.Move.from_uci("a1a2")) + self.assertEqual(cfg.name(), "KpKp") + self.assertEqual(cfg.num_pieces, 2) + self.assertFalse(cfg.is_bare_kings) + # Genuine bare kings still short-circuit. + tables._has_any_table = lambda cfg: False + board = chess.Board("8/8/8/8/8/8/1r6/K6k w - - 0 1") + cfg, _, _, _ = tables._make_child(board, chess.Move.from_uci("a1b2")) + self.assertTrue(cfg.is_bare_kings) + + def test_castling_rights_name_their_own_material(self): + # A rights-bearing position is a different position from the same men + # without the rights -- it has a move the other does not -- so it is + # looked up under its 'r' material whether or not that table is on disk. + # None ship here, so the answer is a miss naming the material it wanted. + with chess.chesstb.open_tablebase("data/chesstb") as tables: + board = chess.Board("8/8/8/5k2/8/8/8/R3K3 w Q - 0 1") + self.assertEqual(tables.probe(board).status, "tb_not_found") + with self.assertRaises(chess.chesstb.MissingTableError) as cm: + tables.probe_wdl(board) + self.assertIn("KrK", str(cm.exception)) + # The same men with the rights given up are KRK, which does ship. + board.set_castling_fen("-") + self.assertEqual(tables.probe_wdl(board), 2) + + def test_case_insensitive_filesystem_does_not_swap_tables(self): + real_exists, real_open = os.path.exists, os.open + + def resolve(path): + directory, name = os.path.split(path) + try: + for entry in os.listdir(directory or "."): + if entry.lower() == name.lower(): + return os.path.join(directory, entry) + except OSError: + pass + return path + + os.path.exists = lambda p: real_exists(resolve(p)) + os.open = lambda p, *args, **kwargs: real_open(resolve(p), *args, **kwargs) + try: + with chess.chesstb.open_tablebase("data/chesstb") as tables: + board = chess.Board("4k3/8/8/8/8/8/8/R3K3 w Q - 0 1") + self.assertEqual(tables.probe(board).status, "tb_not_found") + board.set_castling_fen("-") + self.assertEqual(tables.probe_wdl(board), 2) + finally: + os.path.exists, os.open = real_exists, real_open + + # --- Frames a table does not hold, recovered two ways. --- + + def test_dropped_frame_symmetric(self): + # KRKR ships one frame dropped; the missing side is reconstructed by the + # symmetric color mirror. + with chess.chesstb.open_tablebase("data/chesstb") as tables: + board = chess.Board("8/2r5/8/8/8/1k6/8/K1R5 b - - 0 1") + self.assertEqual(tables.probe_wdl(board), 2) + self.assertEqual(tables.probe_dtz(board), 1) + self.assertEqual(tables.probe_dtm(board), 1) + + def test_dropped_frame_minimax(self): + # KBNK ships an asymmetric dropped frame, reconstructed by one-ply minimax. + with chess.chesstb.open_tablebase("data/chesstb") as tables: + board = chess.Board("8/8/8/8/8/2k5/2N5/KB6 w - - 0 1") + self.assertEqual(tables.probe_wdl(board), 2) + self.assertEqual(tables.probe_dtm(board), 61) + board = chess.Board("8/8/8/8/8/2k5/2N5/KB6 b - - 0 1") + self.assertEqual(tables.probe_wdl(board), -2) + self.assertEqual(tables.probe_dtm(board), -60) # signed: losing side + + # --- The DTM50 pack, and the standalone DTM table it stands in for. --- + + def test_dtm_table_without_pack(self): + # Without the DTM50 pack the mate distance comes from the standalone + # dtm/ table, which must answer exactly what the pack does. + with self.open_without_pack() as tables: + board = chess.Board("8/8/8/5k2/8/8/1Q6/K7 w - - 0 1") + self.assertEqual(tables.probe_dtm(board), 19) + # The pack alone answers the rule-true layer. + with self.assertRaises(chess.chesstb.MissingTableError): + tables.probe_dtm50(board) + # DTZ still comes from its own table. + self.assertEqual(tables.probe_dtz(board), 19) + # A DRAW is priced without opening the table at all. + self.assertEqual(tables.probe_dtm(chess.Board("8/8/8/8/4k3/8/4P3/4K3 w - - 0 1")), 0) + # Each shipped dtm/ table drops one frame (KQK black, KBNK white), + # so the other side comes back the same way the pack's frames do. + self.assertEqual(tables.probe_dtm(chess.Board("8/8/8/5k2/8/8/1Q6/K7 b - - 0 1")), -20) + self.assertEqual(tables.probe_dtm(chess.Board("8/8/8/8/8/2k5/2N5/KB6 w - - 0 1")), 61) + + def test_dtm50_pack_preferred_over_dtm(self): + # The pack carries the flat DTM, which is what makes the dtm/ table + # redundant: with a pack on disk it must never be opened. + with chess.chesstb.open_tablebase("data/chesstb") as tables: + def fail(cfg): + self.fail("dtm/ opened while the DTM50 pack is available") + tables._open_dtm = fail + board = chess.Board("8/8/8/5k2/8/8/1Q6/K7 w - - 0 1") + self.assertEqual(tables.probe_dtm(board), 19) + self.assertEqual(tables.probe_dtm50(board), 19) + + def test_dtm50_layer_decoded_at_the_clock(self): + # The pack stores a layer per halfmove clock, so a rule-true probe + # decodes a different cell than the flat one. Reaching that decode at + # all needs material that converts sooner than it mates: where dtz and + # dtm agree, a bound settles the layer before any cell is read. + with chess.chesstb.open_tablebase("data/chesstb") as tables: + board = chess.Board("k7/8/8/1K6/8/8/6P1/8 b - - 0 1") # dtz 2, dtm 48 + cfg, _ = chess.chesstb.piece_config_from_board(board) + pack = tables._open_dtm50(cfg) + layers = [] + original = pack.read + pack.read = lambda color, b, wdl, hmc: (layers.append(hmc), + original(color, b, wdl, hmc))[1] + + self.assertEqual(tables.probe_dtm(board), -48) + self.assertEqual(tables.probe_dtz(board), -2) + # rule50 + dtm <= 100: the flat layer already answers, nothing else + # is decoded. + layers.clear() + self.assertEqual(tables.probe_dtm50(board, 0), -48) + self.assertEqual(layers, [chess.chesstb.IGNORE_50MR]) + # Past that bound the layer at the clock is decoded on its own. + layers.clear() + self.assertEqual(tables.probe_dtm50(board, 60), -48) + self.assertIn(60, layers) + # rule50 + dtz > 100: no line resets the clock in time, so the layer + # is a draw and again no cell is read for it. Past the window itself + # the flat mate distance still stands while 50MR calls it a draw. + layers.clear() + self.assertEqual(tables.probe_dtm50(board, 99), 0) + self.assertEqual(layers, [chess.chesstb.IGNORE_50MR]) + self.assertEqual(tables.probe_dtm50(board, 100), 0) + self.assertEqual(tables.probe_dtm(board), -48) + + def test_dtm50_stride_index(self): + # The stride prefix index has to answer exactly what walking every + # position from the start of the block would. + with chess.chesstb.open_tablebase("data/chesstb") as tables: + board = chess.Board("8/8/8/8/8/2k5/8/K1N1B3 w - - 0 1") + cfg, _ = chess.chesstb.piece_config_from_board(board) + dtm50 = tables._open_dtm50(cfg) + color = next(c for c in range(2) + if dtm50.per_color[c] is not None + and not dtm50.is_singular[c] and not dtm50.is_dropped[c]) + pc = dtm50.per_color[color] + blk = dtm50._get_block(pc, 0) + state_bits, cum = blk["state_bits"], blk["state_cum"] + + counts = [0, 0, 0, 0] + for pos in range(4096): + state = (state_bits[pos // 4] >> (2 * (pos % 4))) & 3 + self.assertEqual(chess.chesstb._state_and_index(state_bits, cum, pos), + (state, counts[state])) + counts[state] += 1 + + hints, pre = blk["single_hints"], blk["single_pre"] + popcount = 0 + for i in range(min(4096, (len(hints) - 1) * 8)): + self.assertEqual(chess.chesstb._hint_prefix(hints, pre, i), popcount) + popcount += (hints[i >> 3] >> (i & 7)) & 1 + + def test_dtm50_hint_bitmaps(self): + # SINGLE and DOUBLE records vary in width and the file stores no bitmap + # saying which, so the prober rebuilds one by reading each record's + # draw-end bit -- the MSB of byte 0 for SINGLE, of byte 1 for DOUBLE. + # Read the wrong byte and every record after the first short one is + # located at the wrong offset, which no single probe reveals. Both + # walks have to land exactly on the stream sizes the header declares. + with chess.chesstb.open_tablebase("data/chesstb") as tables: + board = chess.Board("8/8/8/8/4k3/8/4P3/4K3 w - - 0 1") + cfg, _ = chess.chesstb.piece_config_from_board(board) + pack = tables._open_dtm50(cfg) + color = next(c for c in range(2) + if pack.per_color[c] is not None + and not pack.is_singular[c] and not pack.is_dropped[c]) + blk = pack._get_block(pack.per_color[color], 0) + payload, eb = blk["payload"], blk["eb"] + num_single, num_double = struct.unpack_from("

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