From c6f13843fe66d1a61a9e2f7db1230ec42c6ec09e Mon Sep 17 00:00:00 2001 From: noobpwnftw Date: Tue, 1 Sep 2026 18:27:54 +0800 Subject: [PATCH] Add chess.chesstb: prober for chesstb endgame tablebases chesstb tables store WDL, DTZ, DTC, DTM and DTM50 per endgame material. This is a pure-Python reader shaped like chess.syzygy: open_tablebase() on a directory tree, then probe() for every value at once, at the board's halfmove clock unless given one, or probe_wdl / probe_dtz / probe_dtc / probe_dtm / probe_dtm50 one at a time. DTZ measures what syzygy's does, but a chesstb DTZ is a plain distance in every class rather than carrying the WDL class. Tables are split by side to move and compressed in blocks (LZMA or LZ4), with positions addressed by a combinatorial index over king symmetry and identical pieces. Materials of equal strength share one table through a colour-swapped view, and a missing side to move is recovered by one-ply minimax. DTM50 and DTC ship as changepoint packs that embed the unbounded DTM and DTZ tables. En passant is applied as an overlay at probe time. Tables are memory-mapped and decoded a block at a time behind one shared LRU, and a Tablebase is safe to share between threads. A position with castling rights is looked up under its rights-bearing material (lowercase 'r', as in KrK), matched on the exact file name spelling. Positions are assumed legal. Includes docs, tests, and small table sets for seven materials as test data. Co-Authored-By: Claude Opus 5.5 --- README.rst | 25 + chess/chesstb.py | 3994 +++++++++++++++++++++++++++++++ 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 -> 8008 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 -> 7432 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 -> 1992 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 -> 1736 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 -> 4168 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 -> 19080 bytes docs/chesstb.rst | 78 + docs/index.rst | 1 + test.py | 700 ++++++ 34 files changed, 4798 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 e4b2166f3..4d5fd541e 100644 --- a/README.rst +++ b/README.rst @@ -277,6 +277,31 @@ 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..076a9244b --- /dev/null +++ b/chess/chesstb.py @@ -0,0 +1,3994 @@ +"""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 contextlib +import importlib +import lzma +import mmap +import os +import struct +import threading +from typing import Any, Dict, Iterator, 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] +# The uint32 table header reserves its low two bits for the table number. +_PACKED_MATERIAL_KEY_MASK = 0x3FFFFFFF + + +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): + 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 + 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")) + 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") + 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. +# Budgets 0..29 are solved; the embedded DTZ row supplies budget 30 for clean W/L. +DTC_BUDGET_LAYERS = 30 +DTC_PACK_LAYERS = 31 + + +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 31 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 + expected_key = self.cfg.min_key & _PACKED_MATERIAL_KEY_MASK + if key != expected_key: + raise ValueError(f"Wrong material key in WDL {self.path}: {key} != {expected_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 = 64 + + +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.is_relaxed = [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 & _PACKED_MATERIAL_KEY_MASK): + 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) + 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: _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: + 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 30 +# 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 & _PACKED_MATERIAL_KEY_MASK): + 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.""" + 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.""" + seg = self._segments(color, board) + if seg is None: + return _DTCCell() + + 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 30 entries + are separately solved finite points; the top entry is the embedded DTZ + terminal endpoint.""" + curve = [DTC_DRAWN] * DTC_PACK_LAYERS + 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 = r.dtz > dtc_budget_plies(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. Each kind searches its subdirectory + (``wdl/``, ``dtz/``, …) when that exists, else the directory itself; a + directory already searched for a kind is not added again. + + 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: + sub = os.path.join(directory, kind) + d = sub if os.path.isdir(sub) else directory + with self._open_locks[kind]: + key = os.path.normpath(d) + if all(os.path.normpath(e) != key for e in self.dirs[kind]): + self.dirs[kind].append(d) + + 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 = LOSE + 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: + best = ILLEGAL + continue + mine = invert_wdl(cw) + if mine == WIN: + return WIN + if best != ILLEGAL and 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 or stored == WIN: + return stored + bound = self._relax_bound_wdl(board, depth) + if bound == ILLEGAL: + return ILLEGAL + 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 or s == WIN: + return s + bound = self._relax_bound_wdl(board, depth) + if bound == ILLEGAL: + return 7 # WDL_Stored::ILLEGAL + if s == 6: # BOUNDARY_WIN + return WIN if bound == WIN else s + return bound if wdl_rank(bound) > wdl_rank(wdl_from_storage(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 best == WIN: + return best + 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) + if not eps: + return best + has_non_ep_move = any(board.legal_moves) + any_ep = False + unresolved_ep = False + 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: + unresolved_ep = True + continue + mine = invert_wdl(cw) + if ((not has_non_ep_move and not any_ep) + or wdl_rank(mine) > wdl_rank(best)): + best = mine + any_ep = True + if unresolved_ep and best != WIN: + return ILLEGAL + 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) + stored = d.read(color, board if mp is None else mp, wdl) + if not d.is_relaxed[color] or not is_win_class(wdl): + return stored + return self._derive_dtz(board, wdl, depth, stored) + + def _derive_dtz(self, board: chess.Board, wdl: int, depth: int, + stored: Optional[int] = None) -> Optional[int]: + if depth >= MAX_DERIVE_DEPTH: + return None + 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 stored is not None: + continue + 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 wdl in (WIN, CURSED_WIN) and best_wdl == wdl and best_dtz == 1: + return best_dtz + if stored is not None: + return None if skipped.unpin(best_wdl) else stored + 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) + skipped = _SkippedChildren() + 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: + skipped.unknown() + continue + if cw != LOSE: + continue + order, value = 0, 1 + if conversion: + unbounded.zeroing_child() + else: + child_rule50 = 0 if push else ( + 1 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: + skipped.unknown() + continue + 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 + if best_order == 0 and best_value == 1: + return _DTCCell(best_order, best_value, 1) + if skipped.unpin(WIN): + return None + 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 + # Only a capture can bare the kings, so `conversion` already covers that. + conversion, push = self._dtc_move_kind(b, m) + if conversion: + for k in range(DTC_PACK_LAYERS): + raise_at(k, 1) + unbounded.zeroing_child() + continue + cfg_c, cboard, cep, _zeroing = self._make_child(b, m) + 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: + 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 + skipped = _SkippedChildren() + 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: + # Baring the kings takes a capture, and from a blessed loss such + # a capture would be an outright draw, not a loss. + continue + cw = self._probe_wdl_impl(cfg_c, cboard, cep, depth + 1) + if cw == ILLEGAL: + skipped.unknown() + continue + if winning and cw not in (LOSE, BLESSED_LOSS): + continue + # A blessed loss counts only the moves that keep it blessed: into a + # cursed win, or quietly into a win already at the horizon. + if not winning and cw != CURSED_WIN and (conversion or push): + continue + if conversion or push: + unbounded.zeroing_child() + if winning and invert_wdl(cw) == wdl: + return _DTCCell(dtz=1) + continue + cell = self._probe_dtc_internal(self._open_dtc(cfg_c), cfg_c, cboard, + cw, IGNORE_50MR, depth + 1) + if cell is None: + skipped.unknown() + continue + if not winning and cw == WIN and cell.dtz < MAX_NON_CURSED_DTZ: + continue + unbounded.quiet_child(cell.dtz) + if skipped.unpin(wdl): + return None + 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) + 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 pinned == WIN and best_wdl == pinned and best_dtm == 1: + return best_dtm + 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) + 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) + pinned = fold_50mr_wdl(wdl) + 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 pinned == WIN and best_wdl == pinned and best_dtm == 1: + return _DTM50Result(best_wdl, best_dtm) + 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) + if w is None: + return r # tb_not_found + r.status = "ok" + rule50_drawn = (rule50 != IGNORE_50MR and rule50 >= DTM50_HMC_COUNT) + 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 + if rule50 != IGNORE_50MR: + r.dtc_wdl = DRAW + r.has_dtc = True + r.dtm50_wdl = DRAW + r.has_dtm50 = True + else: + m50 = self._open_dtm50(cfg) + if m50 is not None: + d50 = self._probe_dtm50_internal(m50, cfg, board, r.wdl, IGNORE_50MR, depth) + r.dtm = d50.dtm + r.has_dtm = (d50.wdl != ILLEGAL) + r.dtz = d50.dtz + r.has_dtz = d50.has_dtz + if not material_has_pawns(cfg) and rule50 != IGNORE_50MR: + _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.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.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.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) + else: + m = self._open_dtm(cfg) + if m is not None: + dtm = self._probe_dtm_internal(m, cfg, board, r.wdl, depth) + if dtm is not None: + r.dtm = dtm + r.has_dtm = True + # 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 answered above + # without opening anything. + if r.wdl != DRAW and 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: + # Unclocked, the cell serves only its DTZ row. + if rule50 != IGNORE_50MR: + 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 + r.has_dtc = True + # A record carries that row and so does the derive, so a + # decisive class always has one. + r.dtz = cell.dtz + r.has_dtz = True + # 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.dtz = dtz + r.has_dtz = True + # 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) and rule50 != IGNORE_50MR: + _fill_pawnless_dtc_from_dtz(r, rule50) + + if ep_square is None or r.wdl == ILLEGAL: + return r + bcopy, eps = _ep_capture_moves(board, ep_square) + if not eps: + return r + has_non_ep_move = any(board.legal_moves) + + 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 + any_ep = False + # An ep capture prices DTC and DTM50 only on a live clock: unclocked they + # do not exist, even where every move is an ep capture, and a drawn clock + # has the claim already. + live_clock = rule50 != IGNORE_50MR and not rule50_drawn + if rule50_drawn: + # Even an EP conversion costs a ply; the claim is already available. + best.dtc_wdl = DRAW + best.has_dtc = True + best.dtm50_wdl = DRAW + best.has_dtm50 = True + 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.has_dtm = best.has_dtm + cr.dtm50_wdl = DRAW + cr.has_dtm50 = best.has_dtm50 + else: + cr = self._probe_impl(cfg_c, cboard, 0 if live_clock else IGNORE_50MR, + None, depth + 1) # ep is zeroing + if cr.status != "ok" or cr.wdl == ILLEGAL: + return ProbeResult() + my_wdl = invert_wdl(cr.wdl) + if not has_non_ep_move and not any_ep: + best.status = "ok" + best.wdl = my_wdl + + best_dtz_wdl, best_dtz = my_wdl, 1 + best.dtz = 0 if my_wdl == DRAW else 1 + best.has_dtz = True + + best_dtm_wdl = fold_dtm_wdl(my_wdl) + best_dtm = 1 + cr.dtm if cr.has_dtm else 0 + best.dtm = (best_dtm if cr.has_dtm + and best_dtm_wdl in (WIN, LOSE) else 0) + best.has_dtm = cr.has_dtm + + if live_clock: + best_dtc_wdl, best_dtc_order, best_dtc = ( + fold_50mr_wdl(my_wdl), 0, 1) + best.dtc_wdl = best_dtc_wdl + best.dtc_order = 0 + best.dtc = 0 if best_dtc_wdl == DRAW else 1 + best.has_dtc = True + + best_dtm50_wdl = invert_wdl(cr.dtm50_wdl) if cr.has_dtm50 else ILLEGAL + best_dtm50 = 1 + cr.dtm50 if cr.has_dtm50 else 0 + best.dtm50_wdl = best_dtm50_wdl + best.dtm50 = (best_dtm50 if cr.has_dtm50 + and best_dtm50_wdl in (WIN, LOSE) else 0) + best.has_dtm50 = cr.has_dtm50 + + any_ep = True + continue + any_ep = True + 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 + # The ep capture is legal, so a DTM that ignored it would be wrong: + # a child that cannot supply one leaves this position undetermined. + if not cr.has_dtm: + best.has_dtm = False + elif best.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 + if live_clock: + # 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.dtc_wdl = my_dtc_wdl + best.dtc_order = 0 + best.dtc = 1 if my_dtc_wdl != DRAW else 0 + best.has_dtc = True + if not cr.has_dtm50: + best.has_dtm50 = False + elif best.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: Optional[int] = None) -> ProbeResult: + """Full probe of `board`. `rule50` (the halfmove clock, by default the + board's own) selects the DTM50 layer and the DTC budget. 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 probe method registers as a reader for + its whole walk; the registration only ever blocks a concurrent + :meth:`close`.""" + hmc = board.halfmove_clock if rule50 is None else rule50 + with self._reading(): + cfg, cboard, ep = self._root(board) + return self._probe_impl(cfg, cboard, hmc, ep, 0) + + @contextlib.contextmanager + def _reading(self) -> Iterator[None]: + with self._read_condition: + self._read_count += 1 + try: + yield + finally: + with self._read_condition: + self._read_count -= 1 + self._read_condition.notify_all() + + def _root(self, board: chess.Board) -> Tuple[PieceConfig, chess.Board, Optional[int]]: + """The table and canonical board a probe of `board` starts from, with + the en-passant square split off: ep travels as an overlay.""" + 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 = cboard.ep_square + cboard.ep_square = None + return cfg, cboard, ep + + def _require(self, board: chess.Board) -> ProbeResult: + # DTZ and DTM do not depend on the clock, so their callers take the + # unbounded read. + r = self.probe(board, IGNORE_50MR) + 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.""" + with self._reading(): + cfg, cboard, ep = self._root(board) + # The WDL probe alone: no distance table is read, and an unresolved + # en-passant child still answers a WIN. + w = self._probe_wdl_impl(cfg, cboard, ep, 0) + if w == ILLEGAL: + if not self._has_any_table(cfg): + raise MissingTableError( + f"no chesstb table for {self._material_name(board)}") + raise MissingTableError( + f"chesstb tables for {self._material_name(board)} " + "cannot resolve this position") + return _WDL_SIGNED[w] + + 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.""" + r = self.probe(board, rule50) + 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.""" + cfg, _ = piece_config_from_board(board) + r = self.probe(board, rule50) + 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..cc52688af8feaaa5bc5b1782114a21d4b236cdee GIT binary patch literal 6984 zcmb7})lwXQfjAc5%rItTy@fCnG|kN_wE5CHu@6gB`C zfDa%5AfTaP|A*;Uf$Idr{vZ7RN@Y9>YSe>x^@@zI>2f6o6s61pVKgMFyg8!7-pL96 zJ7ph>A!_vI3YPQ!bXfa+HRFW8QOuPN`2m!~Por!JY>lA?C8nN9Poiih+^mqIX>CZH zZL+9_I0iUL{#5M=H*3qADyMo?*pDw0T)cx?g3)Unih4!ovac?Cl$s%O{}wgfBQkaj ze|^K{e0i6|j>Fi)VhBoJ03aX;(b{$?7hNa__@9DeV0$s)K4pw8=xguE6grz28$;*8 z`fD#*P;zkiwdCQp(y$)PJZM`?&Rkac5;qa4L$$8iX23$x;q>tgoL6$=Fta)%60Qwv zvz%&J#83E+bEft~G?lsakKkQsGMQ?UwhOcQYhV`v+X?>5b(utk$q4 zcc9nzD3Y@a5YUXeV&*gJ9UHxYG@(1ciUX8Dwer_+H9~a2%z(MZp0}P z_~;DdeT~L0HGvc&V*cEV7G~vb)5aE5N@s4ogS8V}49AryK!b+dxe|==`N>k8k774| zN*J*>x&0N@+6@K?qBnfY6CBBrRn+8t^P(5AsmFhzD z>lhWsD4CTcYL4Br^5C!r#?@+&Ej*5lTSxP8FD2UGoyS8Lkga^D|Ep}`*|NT6OLv$g 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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, or in the directory itself +where that subdirectory is absent. 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 a481c2adb..aa1264513 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 @@ -5017,6 +5020,703 @@ 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 when there is one, else + # in the directory itself, so a flat dump of table files is also + # probeable. A directory already searched is not added again. + for kind in chess.chesstb.Tablebase.KINDS: + self.assertEqual(tables.dirs[kind], [os.path.join("data/chesstb", kind)]) + tables.add_directory("data") + tables.add_directory("data/") + tables.add_directory("data/chesstb") + for kind in chess.chesstb.Tablebase.KINDS: + self.assertEqual(tables.dirs[kind], [os.path.join("data/chesstb", 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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