From 56cb5da2a43f7e7e69cf41105f20602df5fe8fd9 Mon Sep 17 00:00:00 2001 From: noobpwnftw Date: Fri, 21 Aug 2026 13:01:27 +0800 Subject: [PATCH] Add chess.chesstb: prober for chesstb endgame tablebases chesstb tables store WDL, DTZ, DTC, DTM and DTM50 for endgame material configurations. This adds a pure-Python reader for the format, shaped like chess.syzygy and chess.gaviota: open_tablebase() on a directory tree, then probe() a board for every value at once, or probe_wdl / probe_dtz / probe_dtc / probe_dtm / probe_dtm50 for one at a time. DTZ measures what syzygy's does but is encoded 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, while a chesstb DTZ is a plain distance in every class. The format, as read here: one table per material configuration, split by side to move and compressed in blocks (LZMA, or LZ4 with an optional dictionary prefix). Positions are addressed by a combinatorial index over king symmetry classes and groups of identical pieces. Configurations of equal strength share a single table, read through a rank-mirrored, colour-swapped view of the position; one holding an opposing pawn pair may also ship a smaller 'p' table, which is preferred when present, and whose index counts only the free pieces. A table may omit one side to move altogether, in which case its values are recovered by minimaxing over legal children. En passant is not indexed and is applied as a virtual-capture overlay at probe time. Two of the metrics ship as changepoint packs, which store a value per layer of a stack and mark a drawn layer with a hint bit rather than a distance, so the prober builds both the 256-position prefix index and the hint bitmap the layout leaves out. DTM50 layers its values by halfmove clock. DTC layers them by how many pawn pushes the winning side may still spend, and answers a pair -- the pushes it still owes before a capture or promotion, and the plies to the next zeroing move on the line that owes them -- so a DTC read decodes a whole record where a DTM50 read takes one layer of it. Each pack embeds an unbounded table as its first row and so makes it redundant: DTM comes out of DTM50's, DTZ out of DTC's, and a standalone table is read only for material shipping no pack. DTC packs exist for pawnful material; with no push to budget every zeroing move is already a conversion, so the answer there is DTZ's own number at nothing owed. Tables are memory-mapped and decoded a block at a time, with a shared LRU holding decoded blocks across every open table against one budget. _TableFile._open_source is the single seam where the transport is decided, and the table classes are named as class attributes, so serving tables from something other than a mapping is a subclass per kind and a _find. A Tablebase is safe to share between threads: probes register as readers so close() can wait for them before unmapping, and table opens are double-checked under a per-kind lock. Positions with castling rights are rejected with MissingTableError, as chess.syzygy and chess.gaviota do for the same input; the tables are built without them. Positions are assumed legal, as they are on the C++ side. Includes docs, tests, and small table sets for seven materials (KBK..KRKR) as test data. Co-Authored-By: Claude Opus 5 (1M context) --- README.rst | 25 + chess/chesstb.py | 3925 +++++++++++++++++++++++++++++++ data/chesstb/dtc/KPK.lzdtc | Bin 0 -> 6984 bytes data/chesstb/dtm/KBK.lzdtm | Bin 0 -> 72 bytes data/chesstb/dtm/KBNK.lzdtm | Bin 0 -> 248456 bytes data/chesstb/dtm/KNK.lzdtm | Bin 0 -> 72 bytes data/chesstb/dtm/KPK.lzdtm | Bin 0 -> 7240 bytes data/chesstb/dtm/KQK.lzdtm | Bin 0 -> 3528 bytes data/chesstb/dtm/KRK.lzdtm | Bin 0 -> 4552 bytes data/chesstb/dtm/KRKR.lzdtm | Bin 0 -> 63560 bytes data/chesstb/dtm50/KBK.lzdtm50 | Bin 0 -> 72 bytes data/chesstb/dtm50/KBNK.lzdtm50 | Bin 0 -> 323080 bytes data/chesstb/dtm50/KNK.lzdtm50 | Bin 0 -> 72 bytes data/chesstb/dtm50/KPK.lzdtm50 | Bin 0 -> 15112 bytes data/chesstb/dtm50/KQK.lzdtm50 | Bin 0 -> 4360 bytes data/chesstb/dtm50/KRK.lzdtm50 | Bin 0 -> 5320 bytes data/chesstb/dtm50/KRKR.lzdtm50 | Bin 0 -> 67912 bytes data/chesstb/dtz/KBK.lzdtz | Bin 0 -> 72 bytes data/chesstb/dtz/KBNK.lzdtz | Bin 0 -> 248456 bytes data/chesstb/dtz/KNK.lzdtz | Bin 0 -> 72 bytes data/chesstb/dtz/KPK.lzdtz | Bin 0 -> 2568 bytes data/chesstb/dtz/KQK.lzdtz | Bin 0 -> 3528 bytes data/chesstb/dtz/KRK.lzdtz | Bin 0 -> 4552 bytes data/chesstb/dtz/KRKR.lzdtz | Bin 0 -> 13896 bytes data/chesstb/wdl/KBK.lzw | Bin 0 -> 72 bytes data/chesstb/wdl/KBNK.lzw | Bin 0 -> 10440 bytes data/chesstb/wdl/KNK.lzw | Bin 0 -> 72 bytes data/chesstb/wdl/KPK.lzw | Bin 0 -> 4296 bytes data/chesstb/wdl/KQK.lzw | Bin 0 -> 72 bytes data/chesstb/wdl/KRK.lzw | Bin 0 -> 72 bytes data/chesstb/wdl/KRKR.lzw | Bin 0 -> 97864 bytes docs/chesstb.rst | 73 + docs/index.rst | 1 + test.py | 600 +++++ 34 files changed, 4624 insertions(+) create mode 100644 chess/chesstb.py create mode 100644 data/chesstb/dtc/KPK.lzdtc create mode 100644 data/chesstb/dtm/KBK.lzdtm create mode 100644 data/chesstb/dtm/KBNK.lzdtm create mode 100644 data/chesstb/dtm/KNK.lzdtm create mode 100644 data/chesstb/dtm/KPK.lzdtm create mode 100644 data/chesstb/dtm/KQK.lzdtm create mode 100644 data/chesstb/dtm/KRK.lzdtm create mode 100644 data/chesstb/dtm/KRKR.lzdtm create mode 100644 data/chesstb/dtm50/KBK.lzdtm50 create mode 100644 data/chesstb/dtm50/KBNK.lzdtm50 create mode 100644 data/chesstb/dtm50/KNK.lzdtm50 create mode 100644 data/chesstb/dtm50/KPK.lzdtm50 create mode 100644 data/chesstb/dtm50/KQK.lzdtm50 create mode 100644 data/chesstb/dtm50/KRK.lzdtm50 create mode 100644 data/chesstb/dtm50/KRKR.lzdtm50 create mode 100644 data/chesstb/dtz/KBK.lzdtz create mode 100644 data/chesstb/dtz/KBNK.lzdtz create mode 100644 data/chesstb/dtz/KNK.lzdtz create mode 100644 data/chesstb/dtz/KPK.lzdtz create mode 100644 data/chesstb/dtz/KQK.lzdtz create mode 100644 data/chesstb/dtz/KRK.lzdtz create mode 100644 data/chesstb/dtz/KRKR.lzdtz create mode 100644 data/chesstb/wdl/KBK.lzw create mode 100644 data/chesstb/wdl/KBNK.lzw create mode 100644 data/chesstb/wdl/KNK.lzw create mode 100644 data/chesstb/wdl/KPK.lzw create mode 100644 data/chesstb/wdl/KQK.lzw create mode 100644 data/chesstb/wdl/KRK.lzw create mode 100644 data/chesstb/wdl/KRKR.lzw create mode 100644 docs/chesstb.rst diff --git a/README.rst b/README.rst index d4d51a128..3a52817cb 100644 --- a/README.rst +++ b/README.rst @@ -279,6 +279,31 @@ Features >>> tablebase.close() +* Probe chesstb endgame tablebases (WDL, DTZ, DTC, DTM, DTM50). + `Docs `__. + + .. code:: python + + >>> import chess.chesstb + + >>> tablebase = chess.chesstb.open_tablebase("data/chesstb") + + >>> # White mates in 19 half moves in this KQvK endgame, and the 50-move + >>> # rule does not get in the way of it. + >>> board = chess.Board("8/8/8/5k2/8/8/1Q6/K7 w - - 0 1") + >>> tablebase.probe_dtm(board) + 19 + >>> tablebase.probe_dtm50(board) + (2, 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) + (2, 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..75cd4bbae --- /dev/null +++ b/chess/chesstb.py @@ -0,0 +1,3925 @@ +"""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 + +This is a faithful re-implementation of the C++ probe library in +``src/probe`` and is validated bit-for-bit against ``tools/probe_fen``. + +Square numbering matches python-chess exactly (a1=0 .. h8=63, rank-major), +so positions are taken as :class:`chess.Board` instances directly. + +Design mirrors :mod:`chess.syzygy`: a :class:`Tablebase` opens a directory of +table files and answers WDL / DTZ / DTC / DTM / DTM50 queries. + +Thread safety +------------- +A :class:`Tablebase` is safe to share between threads and probe concurrently, +following :mod:`chess.syzygy`. Everything a probe touches is either immutable +after construction (parsed headers, index configs, the mapping itself) or +guarded below, and locks are held only across work that is *not* the probe +itself: + +* **Lazily opened tables.** Unlike :mod:`chess.syzygy`, which registers every + ``Table`` up front in :meth:`~chess.syzygy.Tablebase.add_directory` and so + never mutates its dicts while probing, this module resolves and opens a + table the first time some material is probed. Each of the open caches + therefore gets a lock, held across the resolve-and-open only + (double-checked, so a warm probe never acquires it). Because tables are + memory-mapped rather than read (see :meth:`_TableFile._open_source`), that + open is a syscall plus a small header parse, not a multi-GB read. The lock + is held across it, so another source has to keep that property. +* **Decoded blocks.** Decoding is guarded per ``(color, block)``, not per + table: two threads that need the same cold block decode it once, while + threads needing *different* cold blocks never queue behind each other. For + DTZ and the packs that buys real parallelism, since ``lzma`` releases the GIL + (measured at ~2x on four threads); for WDL, whose LZ4 decoder here is pure + Python and so holds the GIL, it only avoids the duplicate work. +* **Closing.** :meth:`Tablebase.close` unmaps files, which must not happen + under a running probe. A read-count/condition pair (again mirroring + :mod:`chess.syzygy`) makes it wait for in-flight probes first. + +Index computation, reads of already-decoded blocks, and the derivation walk +hold no lock at all. +""" +from __future__ import annotations + +import array +import collections +import lzma +import mmap +import os +import struct +import threading +from typing import Any, Dict, List, NamedTuple, Optional, Tuple, Type, TypeVar + +import chess + +__all__ = ["Tablebase", "ProbeResult", "MissingTableError", "open_tablebase"] + +# --------------------------------------------------------------------------- +# Chess primitive constants, mirroring src/chess/chess.h. +# python-chess: WHITE=True, BLACK=False; piece types KING..PAWN = 6..1? No: +# chess.PAWN=1, KNIGHT=2, BISHOP=3, ROOK=4, QUEEN=5, KING=6. +# The C++ enum differs (KING=1..PAWN=6) but we never serialize C++ piece ints; +# we only need: square transforms, the legal-square set per piece, the material +# key, and class ordering. Those we encode against the C++ semantics below. +# --------------------------------------------------------------------------- + +WHITE = chess.WHITE +BLACK = chess.BLACK + +# Piece "type" codes as used by the C++ side (KING=1,QUEEN=2,ROOK=3,BISHOP=4, +# KNIGHT=5,PAWN=6) and Piece = (color<<3)+type, color WHITE=0 BLACK=1. +KING, QUEEN, ROOK, BISHOP, KNIGHT, PAWN = 1, 2, 3, 4, 5, 6 + +# map C++ piece-type code -> python-chess piece type +_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()} + +# C++ Color: WHITE=0, BLACK=1. python-chess: WHITE=True(1), BLACK=False(0). +# We use a dedicated 0/1 color int matching C++ where indexing matters. +CPP_WHITE, CPP_BLACK = 0, 1 + + +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: + # transpose along a1-h8: (file f, rank r) -> (file r, rank f) + 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_FILE_MIRROR = 0 +SYM_DIHEDRAL_8 = 1 + +# Anchor square sets for king canonicalization. +_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] + + +# --------------------------------------------------------------------------- +# Material_Key (src/chess/chess.h): base-9 mixed radix, indexed by C++ Piece. +# WHITE_QUEEN..WHITE_PAWN -> 9^4..9^0 ; BLACK_QUEEN..BLACK_PAWN -> 9^9..9^5. +# --------------------------------------------------------------------------- +_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: + """pieces: list of (cpp_color, type).""" + return sum(_MAT_WEIGHT[(c, t)] for c, t in pieces) + + +# --------------------------------------------------------------------------- +# Piece_Config: canonical (strength-ordered) piece list, white = stronger side. +# --------------------------------------------------------------------------- +_STRENGTH = {QUEEN: 900, ROOK: 500, BISHOP: 330, KNIGHT: 320, PAWN: 100, KING: 0} +# within-side sort order: K,Q,R,B,N,P (descending strength, kings first) +_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).""" + + def __init__(self, pieces: List[Tuple[int, int]], has_pair: bool = False): + # Determine side ordering by total strength; stronger side -> WHITE. + # Input may be in any orientation; we canonicalize. The pair is + # strength-neutral (one pawn each side), so it never affects the swap. + 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) + swap = bs > ws + if bs == ws: + swap = _composition_key(pieces, CPP_BLACK) > _composition_key(pieces, CPP_WHITE) + if swap: + pieces = [(CPP_BLACK if c == CPP_WHITE else CPP_WHITE, t) for c, t in pieces] + # sort: white side first then black; within side by type order. + pieces = sorted(pieces, key=lambda ct: (ct[0], _TYPE_ORDER[ct[1]])) + self.pieces = pieces + self.has_pair = has_pair + self.base_key = material_key_of(pieces) + self.mirr_key = material_key_of( + [(CPP_BLACK if c == CPP_WHITE else CPP_WHITE, t) for c, t in pieces]) + + @property + def min_key(self) -> int: + # Pair-stripped 30-bit value, as serialized in the on-disk header. + return min(self.base_key, self.mirr_key) + + @property + def cache_key(self) -> Tuple[int, bool]: + # In-memory key distinguishing a 'p'-material from its free-pieces twin, + # which share min_key. + return (self.min_key, self.has_pair) + + def name(self) -> str: + # The pair contributes one pawn to each side; emit a 'p' at the end of + # the white side (before the 2nd king) and another at the very end, e.g. + # "KQpKp" -- so a board-derived pair config resolves the right filename. + letters = {KING: "K", QUEEN: "Q", ROOK: "R", BISHOP: "B", KNIGHT: "N", PAWN: "P"} + s = [] + seen_white_king = False + for c, t in self.pieces: + if t == KING: + if seen_white_king and self.has_pair: + s.append("p") + seen_white_king = True + s.append(letters[t]) + if self.has_pair: + s.append("p") + return "".join(s) + + @property + def num_pieces(self) -> int: + return len(self.pieces) + + @property + def is_bare_kings(self) -> bool: + """Nothing on the board but the two kings: a trivial draw, so no table + exists and no probe consults one. `num_pieces` counts only FREE pieces, + so an opposing pair sits at 2 while physically holding four (KpKp) -- a + real material with a real table. Every "is it just kings?" test goes + through here rather than comparing `num_pieces` directly + (Piece_Config::is_bare_kings in src/chess/piece_config.h).""" + return self.num_pieces <= 2 and not self.has_pair + + +def piece_config_from_board(board: chess.Board) -> Tuple["PieceConfig", bool]: + """Return (canonical PieceConfig, mirrored?) for the board's material. + + mirrored is True when the literal material had to swap colors to match the + canonical base orientation (white = stronger side). + """ + pieces = [] + for sq in range(64): + p = board.piece_at(sq) + if p: + pieces.append((cpp_color(p.color), _PC_TO_CPP[p.piece_type])) + cfg = PieceConfig(pieces) + literal = material_key_of(pieces) + mirrored = literal != cfg.base_key + return cfg, mirrored + + +def pair_config_from_board(board: chess.Board) -> Optional[Tuple["PieceConfig", bool]]: + """If `board` has an opposing pawn pair, return (its 'p' PieceConfig, + mirrored?); else None. The pair's two pawns are excluded from the config and + flagged via has_pair, mirroring src/probe/probe.cpp pair_config_from_position. + Used to prefer a 'p' table over the full material when one is on disk.""" + wp = list(board.pieces(chess.PAWN, WHITE)) + bp = list(board.pieces(chess.PAWN, BLACK)) + found = PairGroup.find_canonical(wp, bp) + if found is None: + return None + pw, pb = found + pieces = [] + for sq in range(64): + if sq == pw or sq == pb: + continue + p = board.piece_at(sq) + if p: + pieces.append((cpp_color(p.color), _PC_TO_CPP[p.piece_type])) + cfg = PieceConfig(pieces, has_pair=True) + mirrored = material_key_of(pieces) != cfg.base_key + return 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 + +# Piece_Type_Class: KINGS=0,KNIGHTS=1,BISHOPS=2,ROOKS=3,QUEENS=4,PAWNS=5 +_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]: + """piece class -> (cpp_color, ptype).""" + 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] + + +# --------------------------------------------------------------------------- +# Piece_Group: combinatorial ranking of `count` identical pieces over the +# legal squares of their type. +# --------------------------------------------------------------------------- +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: + # squares: the placement (any order); rank a sorted combination. + 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 + # pair_lookup[wk*64+bk] = [slice_id, transform, has_diag_stabilizer] + 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] + + +_KSM_CACHE: Dict[int, KingSliceManager] = {} +# Building a manager walks 64x64 king placements over up to 8 transforms, so +# two threads first probing different materials of the same symmetry must not +# both do it. Double-checked: the cached case never acquires. Publishing the +# entry only after __init__ returns is what keeps a half-built manager (its +# `pair` table is filled in place) from ever being visible to a reader. +_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 + + +# --------------------------------------------------------------------------- +# 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 + # All three None is the pawnless configuration, which falls through the + # same enumeration: the cartesian space is the single empty cell, so it + # yields exactly one slice with id 0. + 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 + # Mixed radix: cart = pair_idx + w_idx*pair_size + b_idx*pair_size*white_size. + 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))) + + # Storage ids are ranks in ascending cartesian order, so the walk has to + # follow that order: the pair digit is least significant, then white, + # then black. + 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): + # Free pawns of the two colors collide: no pair placement rescues + # the cell, so skip its whole run of pair cells at once. + if white_masks[w_idx] & b_mask: + cart += self.pair_table_size + continue + free_mask = white_masks[w_idx] | b_mask + for pair_idx in range(self.pair_table_size): + if pair_masks[pair_idx] & free_mask: + cart += 1 + continue + if pair_group: + pair_w = pair_group.white_square(pair_idx) + pair_b = pair_group.black_square(pair_idx) + cw, cb = PairGroup.canonical_pair( + [pair_w] + white_sqs[w_idx], [pair_b] + black_sqs[b_idx]) + if cw != pair_w or cb != pair_b: + cart += 1 + continue + self._survivor_bits[cart >> 3] |= 1 << (cart & 7) + num_slices += 1 + cart += 1 + assert cart == n_cart + self.num_slices = num_slices + + # Prefix the per-block survivor counts, so a storage id needs only the + # one block holding its cell. + running = 0 + for blk in range(len(rank_before)): + rank_before[blk] = running + running += chess.popcount(int.from_bytes( + self._survivor_bits[blk * 8:blk * 8 + 8], "little")) + assert running == num_slices + self._rank_before_block = rank_before + + def compose(self, pair_idx: int, w_idx: int, b_idx: int) -> int: + if not self.has_pawns: + return 0 + cart = (pair_idx + + w_idx * self.pair_table_size + + b_idx * self.pair_table_size * self.white_table_size) + blk, off = divmod(cart, 64) + word = int.from_bytes(self._survivor_bits[blk * 8:blk * 8 + 8], "little") + assert word & (1 << off) + return self._rank_before_block[blk] + chess.popcount(word & ((1 << off) - 1)) + + def lookup_from_squares(self, pair_w: int, pair_b: int, + white_pawn_sqs: List[int], black_pawn_sqs: List[int]) -> int: + if not self.has_pawns: + return 0 + pair_idx = self.pair_group.index_of(pair_w, pair_b) if self.pair_group else 0 + w_idx = self.white_group.compound_index(white_pawn_sqs) if self.white_group else 0 + b_idx = self.black_group.compound_index(black_pawn_sqs) if self.black_group else 0 + return self.compose(pair_idx, w_idx, b_idx) + + +# --------------------------------------------------------------------------- +# Index permutation (src/chess/index_permutation.h) +# --------------------------------------------------------------------------- +_FACT = [1, 1, 2, 6, 24, 120, 720, 5040, 40320] + + +def index_permutation_valid(n_classes: int, perm: int) -> bool: + return n_classes <= 8 and perm < _FACT[n_classes] + + +def storage_within_class_order(populated: List[int], perm: int) -> List[int]: + n = len(populated) + available = list(populated) + order = [] + idx = perm + for i in range(n): + f = _FACT[n - 1 - i] + pick = idx // f + idx %= f + order.append(available[pick]) + del available[pick] + return order + + +# --------------------------------------------------------------------------- +# Position_Index_Config +# --------------------------------------------------------------------------- +class PositionIndexConfig: + def __init__(self, cfg: PieceConfig): + self.cfg = cfg + counts: Dict[Tuple[int, int], int] = {} + for c, t in cfg.pieces: + counts[(c, t)] = counts.get((c, t), 0) + 1 + # An opposing pair is two pawns on the board, so it breaks symmetry to + # file-mirror like any pawn even with no free pawns. + has_pawns = (counts.get((CPP_WHITE, PAWN), 0) > 0 + or counts.get((CPP_BLACK, PAWN), 0) > 0 or cfg.has_pair) + self.sym = SYM_FILE_MIRROR if has_pawns else SYM_DIHEDRAL_8 + self.ksm = king_slice_mgr(self.sym) + + self.groups: Dict[int, PieceGroup] = {} + # make groups for Q,R,B,N,P per color (NOT kings) + 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 + + # populated non-pawn classes in ascending class-id order; native weights. + 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]]: + """Return (order, radix) lists per index permutation.""" + 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] + for c in self.populated: + cc, tt = class_to_piece(c) + color = WHITE if cc == CPP_WHITE else BLACK + pl[c] = list(board.pieces(_CPP_TO_PC[tt], color)) + # Collect pawns when a free-pawn class is populated OR an opposing pair adds + # pawns with no free-pawn class (e.g. KpKp). The pair members are folded + # in here and split out by find_canonical at index time. + 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: + 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] + 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: + # Identify the pair (canonical opposing pair); the rest are free. + 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[Tuple[int, bool], PositionIndexConfig] = {} +# As for _KSM_LOCK: enumerating pawn slices is expensive enough to be worth +# doing once. A config is immutable once built, so probes read it unlocked. +# Lock order is _INDEX_CFG_LOCK -> _KSM_LOCK (via PositionIndexConfig, which +# calls king_slice_mgr); nothing acquires them the other way round. +_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, 0x7c1de4a3, 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, each with at most five non-converting +# pushes, so its budget curve has at most 30 relevant changepoints. For clean +# W/L the terminal one is exactly DTZ: solve the preceding 29 and embed that +# endpoint at row 0. Cursed/blessed cells use row 0 only as DTZ. +DTC_BUDGET_LAYERS = 29 +DTC_PACK_LAYERS = 30 +IGNORE_50MR = -1 # sentinel (C++ uses ~0u) + +# WDL_Entry +LOSE, BLESSED_LOSS, DRAW, CURSED_WIN, WIN, ILLEGAL = 0, 1, 2, 3, 4, 7 +# WDL_Stored adds BOUNDARY_LOSS=5, BOUNDARY_WIN=6. + + +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 (offset tracking + align relative to begin). + + The buffer is whatever :meth:`_TableFile._open_source` returned. Multi-byte + reads materialize the few bytes they need rather than ``unpack_from`` on + the buffer, which would demand the buffer protocol; opening is cold. + + Nothing derived from the buffer outlives parsing -- a table keeps the + buffer plus offsets into it -- so :meth:`_TableFile.close` has one export + to release, a live memoryview making ``mmap.close()`` raise.""" + + 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 + + +#: Precompiled struct for the 64-bit bit-window reads below, mirroring the +#: module-level UINT64_BE / UINT32 / UINT16 Structs in :mod:`chess.syzygy`. +_U64LE = struct.Struct(" int: + """The 8 bytes at `offset`, little-endian, read straight out of the + mapping. ``int.from_bytes(buf[offset:offset + 8], "little")`` would build + a throwaway memoryview slice per call, and these are the hottest reads in + a probe. Fewer than 8 bytes remain near the end of a mapping, which + ``unpack_from`` rejects and the slicing form tolerates. + + A buffer that is not a ``memoryview`` (:meth:`_TableFile._open_source`) + cannot go to ``unpack_from`` at all, so it takes the slicing form.""" + 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 + # read up to 16 bytes to cover width<=64 with bit offset + 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: + """As :class:`MonoUintVec`, `base` plus a bit offset rather than a slice.""" + + 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 + + +# --- pure-Python 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; match offsets may reference into it. Mirrors + LZ4_decompress_safe[_usingDict].""" + 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 + # overlapping copy, byte by byte + 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 a per-color object holds (the parsed header, the buffer + and the offsets addressing it) is written once while the table is + being constructed -- before any other thread can reach the table, since + :class:`Tablebase` only publishes it into an open cache once fully built -- + and read-only afterwards. ``_blocks`` is the exception: probes fill it as + they go, so it is the only part that needs guarding. + """ + + __slots__ = ("_blocks", "_block_locks", "_meta_lock") + + _blocks: Dict[int, Any] + + def __init__(self) -> None: + self._blocks = {} + # One lock per block id, created on demand, rather than one lock for + # the whole color: the slow path guards the decode-and-insert of a + # *single* block, so two threads wanting different cold blocks have no + # reason to queue behind each other. lzma releases the GIL, so for + # DTZ/DTM50 those two decodes really do proceed in parallel. + self._block_locks: Dict[int, threading.Lock] = {} + # Guards creation of entries in `_block_locks` -- a dict lookup and + # maybe an insert. Never held across a decode. + self._meta_lock = threading.Lock() + + def lock_for(self, block_id: int) -> threading.Lock: + """The lock guarding `block_id`'s decode, created on first use. + Double-checked, so the usual case never touches ``_meta_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`. + + Decoding a block is expensive, so each per-color object keeps its own + ``_blocks`` dict of decoded blocks. This cache tracks those entries in a + global least-recently-used order keyed by ``(per_color, block_id)`` and, + once the resident byte estimate exceeds ``max_bytes``, evicts the oldest + blocks by dropping them from their owning ``_blocks`` 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 + # (per_color, block_id) -> approximate size in bytes, ordered LRU-first. + self._lru: "collections.OrderedDict[Tuple[Any, int], int]" = collections.OrderedDict() + self._lock = threading.Lock() + + def touch(self, pc: Any, block_id: int) -> None: + """Mark an already-cached block as most-recently-used (a cache hit).""" + 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 block already tracked (which two threads that decoded + it concurrently will do) subtracts the old size first, so the running + total stays right however the two interleave. + """ + 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 + # Keep the just-added block (it is at the end); never empty fully. + 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: + """Stop tracking `pc`'s blocks, for a table that is being closed.""" + 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: + """Drop every tracked block and reset the budget.""" + 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. + + Also drops the block's decode lock, so `_block_locks` stays bounded by + the cache budget instead of growing once per block ever decoded. A + thread may be holding that lock right now, mid-decode: dropping the + entry only means a later thread creates a fresh lock for the same + block, so the two could decode it concurrently. Both then write the + same bytes and re-`record`, which costs duplicated work but cannot + produce a wrong answer -- whereas an unbounded lock dict is a leak in + every long-running probe. + """ + pc._blocks.pop(block_id, None) + pc._block_locks.pop(block_id, None) + + +#: What :meth:`Tablebase._find` resolves a table to and :meth:`_TableFile._open` +#: opens: a filesystem path for the default source, otherwise whatever handle +#: that transport's :meth:`_TableFile._open_source` understands. Only ever +#: interpolated into a message, so a handle wants a ``__str__`` naming the table. +TableSource = Any + + +class _TableFile: + """Shared source lifecycle for the four table kinds. + + Table files are mapped read-only rather than read into memory: a probe + touches a handful of blocks, so the OS page cache serves the file and the + resident pages stay reclaimable. Mirrors + :meth:`chess.syzygy.Table.init_mmap`. :meth:`_open_source` is where that + choice is made, and the only place a different one has to be 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: + """Open `path` and parse its header, releasing the source again if + parsing fails.""" + self.path = path + try: + # Held by the reader before anything can fail, so close() releases + # the buffer however far the open got. + 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. + + The one seam another transport replaces; :attr:`Tablebase.WDL_FILE` and + its siblings are how the subclass carrying the override gets used. An + override may return any object with ``len()``, indexing and slicing (a + slice being ``bytes`` or another such object); nothing above needs the + buffer protocol (see :class:`_Serial`, :func:`_read_u64le`, + :func:`_compressed_block`) and no span wider than one block is ever + taken, so a source that fetches on slice costs what a probe touches. + Materializing the table to satisfy the interface gives that up, and does + it under the open lock. + + Spans are one compressed block, and far more often the 8 bytes of a + bit-window read, so a lazy source wants a page cache under it; against + a mapping the OS is one. + """ + 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: + # Unix: probing jumps between blocks, it does not stream. + 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. + + Requires that no thread is inside a probe of this table: releasing the + buffer invalidates it for a concurrent reader, which is why + :meth:`Tablebase.close` drains its readers before calling this. + """ + for pc in self.per_color: + if pc is not None: + pc._blocks.clear() + self.cache.forget(pc) + # The view goes before munmap or mmap.close() raises BufferError; a + # non-memoryview buffer has nothing to release. + reader, self._reader = self._reader, None + if reader is not None and isinstance(reader.d, memoryview): + reader.d.release() + # Dropping `_data` before closing is what makes this idempotent. + data, self._data = self._data, None + if data is not None: + try: + data.close() + except BufferError: + # Something still holds a slice of the mapping; + # leave the unmap to refcounting rather than raising out of a + # close(). + pass + + +_TableFileT = TypeVar("_TableFileT", bound=_TableFile) + + +# =========================================================================== +# WDL table file +# =========================================================================== + +def egtb_table_colors(table_num: int) -> List[int]: + # WHITE always; BLACK only when table_num == 2. C++ Color WHITE=0,BLACK=1. + return [CPP_WHITE] + ([CPP_BLACK] if table_num == 2 else []) + + +class _WDLPerColor(_PerColor): + __slots__ = ("order", "radix", "block_size", "tail_size", "block_cnt", + "data_size", "offsets", "buf", "data_off", "dict", "single_val", + "dict_size") + order: List[int] + radix: List[int] + block_size: int + tail_size: int + block_cnt: int + data_size: int + offsets: MonoUintVec + buf: Any + data_off: int + dict: bytes + single_val: int + dict_size: int + _blocks: Dict[int, bytes] + + def __init__(self) -> None: + super().__init__() + self.single_val = DRAW + self.dict = b"" + self.dict_size = 0 + + +class WDLFile(_TableFile): + EXT = ".lzw" + MAGIC = WDL_MAGIC + KIND = "WDL" + + def __init__(self, cfg: PieceConfig, path: TableSource, + cache: Optional[_BlockCache] = None): + self.cfg = cfg + self.index_cfg = position_index_config(cfg) + self.cache = cache if cache is not None else _BlockCache(DEFAULT_BLOCK_CACHE_BYTES) + self.is_singular = [False, False] + self.is_dropped = [False, False] + self.is_loss_only = [False, False] + self.is_relaxed = [False, False] + self.per_color: List[Optional[_WDLPerColor]] = [None, None] + self._open(path) + + def _parse(self, r: _Serial) -> None: + magic = r.u32() + if magic != self.MAGIC: + raise ValueError(f"Invalid WDL magic {self.path}") + key_and_table = r.u32() + key = key_and_table >> 2 + if key != self.cfg.min_key: + raise ValueError(f"Wrong material key in WDL {self.path}: {key} != {self.cfg.min_key}") + table_num = key_and_table & 3 + colors = egtb_table_colors(table_num) + for c in colors: + flag = r.u8() + pc = _WDLPerColor() + self.per_color[c] = pc + self.is_loss_only[c] = bool(flag & LOSS_ONLY_FLAG) + self.is_relaxed[c] = bool(flag & RELAXED_FLAG) + if flag & SINGULAR_FLAG: + self.is_singular[c] = True + pc.single_val = r.u8() + elif flag & DROPPED_FLAG: + self.is_dropped[c] = True + else: + self._parse_header(r, pc) + if table_num == 1: + # Symmetric material: BLACK is WHITE mirrored, flag byte and all. + 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() + # Copied out: it prefixes every decode of this color's blocks. + 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() + # Buffer plus offset, never a slice spanning the section. + 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 it, others wait for that result + # instead of duplicating the work. Re-checked inside the lock because + # the winner will have filled `_blocks` by the time we get in. Nothing + # else in this method touches shared state, so threads after + # *different* cold blocks proceed independently. + 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: + """Return WDL_Stored at the board's index in `color`'s frame.""" + 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 + + +# =========================================================================== +# 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: + # WDL_Stored -> WDL_Entry, inverted across one quiet ply (markers tip a ply). + 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: + """Whether a DTC pack exists for this material at all: with no push to + budget the stack is one layer, which is the DTZ table.""" + return cfg.has_pair or any(t == PAWN for _c, t in cfg.pieces) + + +def is_win_class(w: int) -> bool: + """Win classes are the ones a loss-only frame leaves out; CURSED_WIN counts, + since a distance cell is stored under the win flag either way.""" + return w == WIN or w == CURSED_WIN + + +def locate_frame(f: Any, cfg: PieceConfig, board: chess.Board, + wdl: int) -> Tuple[int, Optional[chess.Board], bool]: + """Which frame holds a cell, whether it needs mirroring, and whether it is + there to be read. A dropped frame is reachable through the mirror when the + material is its own mirror; a loss-only frame holds no win. Both gaps are + filled by the same one-ply derive, run on the unmirrored board.""" + color = CPP_WHITE if board.turn == WHITE else CPP_BLACK + if not f.is_dropped[color]: + return color, None, not (f.is_loss_only[color] and is_win_class(wdl)) + if not is_symmetric_material(cfg): + return color, None, False + kept = CPP_BLACK if color == CPP_WHITE else CPP_WHITE + if f.is_loss_only[kept] and is_win_class(wdl): + return kept, None, False + return kept, mirror_for_canonical(board), True + + +MAX_DERIVE_DEPTH = 16 + + +def _internal_board(board: chess.Board) -> chess.Board: + """A copy with no en-passant square (derive move-gen excludes ep; the + overlay handles ep separately).""" + 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: + """Decode a raw LZMA1 stream with 5 props bytes appended at the tail + (the LZMA SDK ``LzmaUncompress`` framing used by the C++ side).""" + if len(block) < 5: + raise ValueError("LZMA block too small") + props = bytes(block[-5:]) + raw = bytes(block[:-5]) + d0 = props[0] + lc = d0 % 9 + rem = d0 // 9 + lp = rem % 5 + pb = rem // 5 + dict_size = int.from_bytes(props[1:5], "little") + dec = lzma.LZMADecompressor(format=lzma.FORMAT_RAW, filters=[{ + "id": lzma.FILTER_LZMA1, "dict_size": dict_size, + "lc": lc, "lp": lp, "pb": pb}]) + out = dec.decompress(raw, expected_size) + if len(out) != expected_size: + out += dec.decompress(b"", expected_size - len(out)) + if len(out) != expected_size: + raise ValueError(f"LZMA size mismatch {len(out)} != {expected_size}") + return out + + +def dtz_value_from_storage(stored: int, w: int, entry_bytes: int) -> int: + if w == DRAW: + return 0 + if entry_bytes == 1 and (w == CURSED_WIN or w == BLESSED_LOSS): + return (stored << 1) - 1 + return stored + + +def dtm_value_from_storage(stored: int, w: int) -> int: + if w in (WIN, CURSED_WIN): + return (stored << 1) | 1 + if w in (LOSE, BLESSED_LOSS): + return stored << 1 + return 0 + + +def dtm50_value_from_storage(stored: int, w: int) -> int: + if w == WIN: + return (stored << 1) | 1 + if w == LOSE: + return stored << 1 + return 0 + + +# =========================================================================== +# DTZ / DTM table files — src/probe/dtz_file.cpp, src/probe/dtm_file.cpp +# =========================================================================== + +class _RankPerColor(_PerColor): + __slots__ = ("order", "radix", "entry_bytes", "block_size", "tail_size", + "block_cnt", "data_size", "offsets", "buf", "data_off", + "rank_to_value", "single_val") + order: List[int] + radix: List[int] + entry_bytes: int + block_size: int + tail_size: int + block_cnt: int + data_size: int + offsets: MonoUintVec + buf: Any + data_off: int + rank_to_value: List[int] + single_val: int + _blocks: Dict[int, bytes] + + def __init__(self) -> None: + super().__init__() + self.single_val = 0 + + +class _RankFile(_TableFile): + """The rank-coded, LZMA-blocked table body. DTM is the byte-for-byte twin + of DTZ (as ``src/probe/dtm_file.cpp`` says of its own traits); only the + magic and :meth:`_value_from_storage` differ, so both files parse and read + through this one.""" + + @staticmethod + def _value_from_storage(stored: int, wdl: int, entry_bytes: int) -> int: + raise NotImplementedError + + def __init__(self, cfg: PieceConfig, path: TableSource, + cache: Optional[_BlockCache] = None): + self.cfg = cfg + self.index_cfg = position_index_config(cfg) + self.cache = cache if cache is not None else _BlockCache(DEFAULT_BLOCK_CACHE_BYTES) + self.is_singular = [False, False] + self.is_dropped = [False, False] + self.is_loss_only = [False, False] + self.per_color: List[Optional[_RankPerColor]] = [None, None] + self._open(path) + + def _parse(self, r: _Serial) -> None: + if r.u32() != self.MAGIC: + raise ValueError(f"Invalid {self.KIND} magic {self.path}") + kat = r.u32() + if (kat >> 2) != self.cfg.min_key: + raise ValueError(f"Wrong material key in {self.KIND}") + table_num = kat & 3 + colors = egtb_table_colors(table_num) + for c in colors: + flag = r.u8() + pc = _RankPerColor() + self.per_color[c] = pc + self.is_loss_only[c] = bool(flag & LOSS_ONLY_FLAG) + if flag & SINGULAR_FLAG: + self.is_singular[c] = True + pc.single_val = r.u8() + elif flag & DROPPED_FLAG: + self.is_dropped[c] = True + else: + self._parse_header(r, pc) + if table_num == 1: + # Symmetric material: BLACK is WHITE mirrored, flag byte and all. + self.is_dropped[CPP_BLACK] = True + self.is_loss_only[CPP_BLACK] = self.is_loss_only[CPP_WHITE] + self._finalize(r, colors) + + def _parse_header(self, r: _Serial, pc: _RankPerColor) -> None: + perm = r.u32() + pc.order, pc.radix = self.index_cfg.make_layout(perm) + pc.entry_bytes = r.u8() + pc.tail_size = r.u32() + pc.block_size = r.u32() + pc.block_cnt = r.u64() + pc.data_size = r.u64() + num_ranks = r.u16() + pc.rank_to_value = [r.u16() for _ in range(num_ranks)] + + def _finalize(self, r: _Serial, colors: List[int]) -> None: + for c in colors: + if self.is_singular[c] or self.is_dropped[c]: + continue + pc = self.per_color[c] + assert pc is not None + log2_bu = r.u8() + sample_width = r.u8() + offset_width = r.u8() + r.advance(1) # usz_width (unused here) + mono_off = r.caret() + mb = MonoUintVec.on_disk_bytes(pc.block_cnt + 1, log2_bu, sample_width, offset_width) + r.advance(mb) + pc.offsets = MonoUintVec(r.d, mono_off, pc.block_cnt + 1, log2_bu, + sample_width, offset_width) + for c in colors: + if self.is_singular[c] or self.is_dropped[c]: + continue + pc = self.per_color[c] + assert pc is not None + r.align(64) + start = r.caret() + # Buffer plus offset, never a slice spanning the section. + pc.buf, pc.data_off = r.d, start + r.advance(pc.data_size) + + def _get_block_raw(self, pc: _RankPerColor, block_id: int) -> bytes: + blk = pc._blocks.get(block_id) + if blk is not None: + self.cache.touch(pc, block_id) + return blk + with pc.lock_for(block_id): # see WDLFile._get_block + blk = pc._blocks.get(block_id) + if blk is not None: + self.cache.touch(pc, block_id) + return blk + decode_sz = (pc.tail_size if (block_id == pc.block_cnt - 1 and pc.tail_size != 0) + else pc.block_size) + doff, dnext = pc.offsets.get2(block_id) + dsz = dnext - doff + blk = b"" if dsz == 0 else lzma_raw_decompress( + _compressed_block(pc.buf[pc.data_off + doff:pc.data_off + doff + dsz]), + decode_sz) + pc._blocks[block_id] = blk + self.cache.record(pc, block_id, len(blk)) + return blk + + def read(self, color: int, board: chess.Board, wdl: int) -> int: + assert wdl != DRAW and wdl != ILLEGAL + pc = self.per_color[color] + assert pc is not None + if self.is_singular[color]: + return self._value_from_storage(pc.single_val, wdl, 1) + pos = self.index_cfg.board_index(board, pc.order, pc.radix) + assert pos is not None + ppb = pc.block_size // pc.entry_bytes + block_id = pos // ppb + in_block = pos % ppb + lo, hi = pc.offsets.get2(block_id) + if lo == hi: + return 0 # skip block: uniform DRAW/ILLEGAL + raw = self._get_block_raw(pc, block_id) + if pc.entry_bytes == 1: + stored = raw[in_block] + else: + stored = struct.unpack_from(" int: + return dtz_value_from_storage(stored, wdl, entry_bytes) + + +class DTMFile(_RankFile): + EXT = ".lzdtm" + MAGIC = DTM_MAGIC + KIND = "DTM" + + @staticmethod + def _value_from_storage(stored: int, wdl: int, entry_bytes: int) -> int: + # Unlike DTZ, the mate distance is a plain parity encoding: the class + # supplies the low bit, so the cell width never enters the decode. + 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 has +# 29 separately solved budget points plus the terminal clean changepoint supplied +# by DTZ. Both open every record with that embedded endpoint -- DTM50's the DTM, +# DTC's the DTZ. Everything down to the block decode is shared +# (:class:`_LayeredFile`); each metric's ``read`` is its own, as in the C++. + +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: prefix counts over a bitmap `block_positions` long, 1,048,576 in every +# table the generator writes. Answering per position costs a 1M-iteration loop +# and a ~40 MiB list per block, which dwarfs the payload and makes the decoded +# -block budget meaningless. So index every STRIDE-th position and walk at +# most one stride at read time, 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]: + """`pos`'s state, and its index among positions of that state before it.""" + 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]: + """Cumulative popcount of a hint bitmap at every stride boundary: entry + `k` counts the set bits below bit ``k * _LAYERED_STRIDE``.""" + 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_last_changepoint(lo64: int, hi64: int) -> int: + """Highest set changepoint bit of a MULTI record: lo bit i is layer i, hi + bit j is layer 64 + j, the way read()'s masks run.""" + if hi64: + return 64 + hi64.bit_length() - 1 + if lo64: + return lo64.bit_length() - 1 + return 0 + + +class _LayeredFile(_TableFile): + """The changepoint container both packs are written in: header, offsets + section and block decode, down to the per-position state and its record. + What a record *means* is the metric's, so ``read`` lives in the subclass.""" + + def __init__(self, cfg: PieceConfig, path: TableSource, + cache: Optional[_BlockCache] = None): + self.cfg = cfg + self.index_cfg = position_index_config(cfg) + self.cache = cache if cache is not None else _BlockCache(DEFAULT_BLOCK_CACHE_BYTES) + self.is_singular = [False, False] + self.is_dropped = [False, False] + self.is_loss_only = [False, False] + self.per_color: List[Optional[_LayeredPerColor]] = [None, None] + self._open(path) + + def _parse(self, r: _Serial) -> None: + if r.u32() != self.MAGIC: + raise ValueError(f"Invalid {self.KIND} magic") + kat = r.u32() + if (kat >> 2) != self.cfg.min_key: + raise ValueError(f"Wrong material key in {self.KIND}") + table_num = kat & 3 + colors = egtb_table_colors(table_num) + for c in colors: + flag = r.u8() + pc = _LayeredPerColor() + self.per_color[c] = pc + self.is_loss_only[c] = bool(flag & LOSS_ONLY_FLAG) + if flag & SINGULAR_FLAG: + self.is_singular[c] = True + if r.u8() != 0: + raise ValueError(f"{self.KIND} singular value must be DRAW") + elif flag & DROPPED_FLAG: + self.is_dropped[c] = True + else: + self._parse_header(r, pc) + if table_num == 1: + # Symmetric material: BLACK is WHITE mirrored, flag byte and all. + 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() + # Buffer plus offset, never a slice spanning the section. + 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 + # See WDLFile._get_block. Besides the lzma pass, a DTM50 block builds + # the stride prefix indexes below, so it stays the heaviest decode of + # the four formats and the one most worth sharing. + 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]: + """Decode, cache and return one block. Called with its lock held.""" + doff, dnext = pc.offsets.get2(block_id) + dsz = dnext - doff + usz = pc.usizes.get(block_id) + payload = lzma_raw_decompress( + _compressed_block(pc.buf[pc.data_off + doff:pc.data_off + doff + dsz]), usz) + eb = pc.entry_bytes + (num_positions, num_single, num_double, num_multi, + single_stream_bytes, double_stream_bytes) = struct.unpack_from(" int: + return payload[off] if eb == 1 else int(struct.unpack_from(" Optional[Tuple[Dict[str, Any], int, int]]: + """A position's decoded block, its record state and its index among the + records sharing that state. ``None`` where nothing is stored, which + reads as drawn at every layer.""" + pc = self.per_color[color] + assert pc is not None + if self.is_singular[color]: + return None + pos = self.index_cfg.board_index(board, pc.order, pc.radix) + assert pos is not None + block_id, pos_in_block = divmod(pos, pc.block_positions) + lo, hi = pc.offsets.get2(block_id) + if lo == hi: + return None # skip block (uniform DRAW) + blk = self._get_block(pc, block_id) + st, idx = _state_and_index(blk["state_bits"], blk["state_cum"], pos_in_block) + return blk, st, idx + + +class DTM50File(_LayeredFile): + EXT = ".lzdtm50" + MAGIC = DTM50_MAGIC + KIND = "DTM50" + + def read(self, color: int, board: chess.Board, wdl: int, + hmc: int) -> Tuple[int, int]: + """The value at `hmc`, and the layer where the cell turns DRAW; the + terminal rank decides both. Only the draw-end hint says DRAW; a stored + 0 is a mate.""" + assert wdl != DRAW and wdl != ILLEGAL + flat = (hmc == IGNORE_50MR) + if not flat and (wdl == CURSED_WIN or wdl == BLESSED_LOSS): + return (DTM50_DRAWN, 0) + found = self._locate(color, board) + if found is None: + return (DTM50_DRAWN, 0) + blk, st, idx = found + pc = self.per_color[color] + assert pc is not None + payload = blk["payload"] + eb = blk["eb"] + r2v = pc.rank_to_value + layer = 0 if flat else (hmc + 1) + + draw_flip = 0 + if st == 0: # CONST: one rank for all layers, so it never flips + stored = r2v[self._read_rank(payload, blk["const_stream_off"] + idx * eb, eb)] + elif st == 1: # SINGLE: one transition at h + short, long = 1 + eb, 1 + 2 * eb + n_short = _hint_prefix(blk["single_hints"], blk["single_pre"], idx) + off = blk["single_stream_off"] + n_short * short + (idx - n_short) * long + draw_end = _bit(blk["single_hints"], idx) + h = payload[off] & 0x7F + if draw_end: + draw_flip = h + if layer < h: + stored = r2v[self._read_rank(payload, off + 1, eb)] + elif draw_end: + return (DTM50_DRAWN, draw_flip) + else: + stored = r2v[self._read_rank(payload, off + 1 + eb, eb)] + elif st == 2: # DOUBLE: transitions at h1 < h2 + short, long = 2 + 2 * eb, 2 + 3 * eb + n_short = _hint_prefix(blk["double_hints"], blk["double_pre"], idx) + off = blk["double_stream_off"] + n_short * short + (idx - n_short) * long + draw_end = _bit(blk["double_hints"], idx) + h1 = payload[off] + h2 = payload[off + 1] & 0x7F + if draw_end: + draw_flip = h2 + if layer < h1: + stored = r2v[self._read_rank(payload, off + 2, eb)] + elif layer < h2: + stored = r2v[self._read_rank(payload, off + 2 + eb, eb)] + elif draw_end: + return (DTM50_DRAWN, draw_flip) + else: + stored = r2v[self._read_rank(payload, off + 2 + 2 * eb, eb)] + else: # MULTI: 128-bit changepoint bitmap + 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 come from + the budget layer that fits the clock the caller passed, so a fresh clock + buys the fewest pushes any line manages, and a tighter one may force more of + them or leave nothing that fits at all. + + ``dtz`` is the record's unbounded row, which is the DTZ table the pack + embeds, in that table's own plies: the same decode that picks a budget + passes it, and a cursed class has only it.""" + + 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: + """First row past segment `i`.""" + 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]: + """Decode a whole record. ``None`` where nothing is stored, which reads + as drawn at every budget.""" + 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 + # No value transform: unlike DTM50's parity halving, a DTC rank holds + # the plies outright. + 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) + # MULTI: changepoint bitmap, one segment per set bit + entry = blk["multi_data_off"] + struct.unpack_from( + " _DTCCell: + """The fewest pushes whose plies-to-zeroing still fit the clock the + caller holds: the deepest budget index that stays inside `rule50`. + Fewer pushes may cost a longer wait, so a fresh clock buys the fewest any + line manages -- which is whatever the position needs, not necessarily + none.""" + assert wdl != DRAW and wdl != ILLEGAL + seg = self._segments(color, board) + if seg is None: + return _DTCCell() + + # Segment 0 is the unbounded row: the DTZ table's own plies, whatever + # the budgets above it make of the cell. Every record opens with it, and + # a decisive class is priced there whether or not any budget settles it. + assert seg.segs + dtz = seg.segs[0][1] + # The budgets hold only what 50MR settles, so a cursed class gets that + # row and nothing else. + if wdl == CURSED_WIN or wdl == BLESSED_LOSS: + return _DTCCell(dtz=dtz) + + budget_plies = dtc_budget_plies(rule50) + # Values rise with the row, so the fittable segments are a prefix and + # the last of them carries the fewest pushes. + for i in range(len(seg.segs) - 1, -1, -1): + value = seg.segs[i][1] + if value > budget_plies: + continue + return _DTCCell(DTC_BUDGET_LAYERS - (seg.end_of(i) - 1), value, dtz) + return _DTCCell(dtz=dtz) + + def read_curve(self, color: int, board: chess.Board, wdl: int) -> List[int]: + """The same decode, spread over the budgets it covers instead of + resolved against a clock: ``DTC_DRAWN`` wherever a budget point settles + nothing, which for a cursed class is everywhere. The first 29 entries + are separately solved finite points; the top entry is the embedded DTZ + terminal endpoint.""" + curve = [DTC_DRAWN] * DTC_PACK_LAYERS + assert wdl != DRAW and wdl != ILLEGAL + if wdl == CURSED_WIN or wdl == BLESSED_LOSS: + return curve + seg = self._segments(color, board) + if seg is None: + return curve + for i, (start, value) in enumerate(seg.segs): + for row in range(start, seg.end_of(i)): + curve[DTC_BUDGET_LAYERS - row] = value + return curve + + +# =========================================================================== +# Probe orchestration — src/probe/probe.cpp +# =========================================================================== + +def prefer_new(new_wdl: int, new_dtz: int, old_wdl: int, old_dtz: int) -> bool: + rn, ro = wdl_rank(new_wdl), wdl_rank(old_wdl) + if rn != ro: + return rn > ro + if new_wdl in (WIN, CURSED_WIN): + return new_dtz < old_dtz + if new_wdl in (LOSE, BLESSED_LOSS): + return new_dtz > old_dtz + return False + + +def prefer_new_dtc(new_wdl: int, new_order: int, new_value: int, + old_wdl: int, old_order: int, old_value: int) -> bool: + """Same as :func:`prefer_new` on DTC's key: pushes owed lead, and the wait + only breaks a tie in them.""" + 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. + + For an exact five-class pin, every child is a clean WIN for the opponent; + otherwise the parent would be a BLESSED_LOSS. A folded DTM pin may also + represent BLESSED_LOSS, but WIN and CURSED_WIN are equivalent to the DTM + minimax, so WIN remains the right surrogate there too. + """ + return pinned == LOSE + + +def dtz_lift(my_wdl: int) -> int: + """A DTZ minimax lifts a LOSE to BLESSED_LOSS past 100, the higher rank of + the two.""" + 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 apply to the layer at `rule50`, one for each distance. Both apply +# only to W/L positions, since cursed/blessed positions are DRAW at every layer +# and no distance is assigned to them. +# +# Pinned: rule50 + dtm <= 100 means the entire mating line fits within the +# window, so the layer uses the flat DTM. The bound is inclusive because the +# game ends at checkmate, before a draw can be claimed. +# +# Busted: rule50 + dtz > 100 means no surviving line lets the winner reset the +# count in time, so the layer is DRAW. This one-directional bound assigns no +# distance to positions that survive. It uses the same inequality encoded by a +# cell's transition to DRAW (h = 102 - dtz), based on the DTZ returned by the +# flat probe. +# +# An unpriced distance reads as 0, so the pin needs a has_dtm at the call site +# while the bust cannot fire on one. Which case left DTZ unread does not matter +# there: the cursed class a read declines to price, or a derive whose minimax +# went unpinned. +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: off the cell's flip when read, off + its own minimax when derived.""" + + wdl: int + dtm: int + has_dtz: bool = False + dtz: int = 0 + + +class _SkippedChildren: + """Children a derive could not price. A skip only unpins the minimax if the + class it could have offered outranks the kept best; an unknown class bounds + nothing and unpins outright. Every deriver runs this -- a best over a partial + move set is a wrong answer, not a partial one.""" + + __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: + # Same, for a DTZ minimax: the child's unknown distance may push past + # 100, which lifts a LOSE to BLESSED_LOSS -- a higher rank, so bound by + # that. + 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: + """A zeroing move ends the count at this ply, whatever the child holds.""" + 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: + """Priced against the clock instead of visited: nothing to take from it.""" + 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]]: + """Legal en-passant captures available given `ep_square`, using python-chess + to execute the capture correctly. Returns (ep_board, [moves]).""" + 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 ply counts whose sign is given by the corresponding + WDL class. + + DTC answers a pair at the caller's ``rule50``: ``dtc_order`` is the pushes + the winner still owes and ``dtc`` the plies to the next zeroing move on the + line that owes them. No budget fitting the clock is a 50MR draw, which + ``dtc_wdl`` reports rather than withholding, so ``has_dtc`` says the metric + is available and ``dtc_wdl`` what it found. + """ + + __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"" + + +class MissingTableError(KeyError): + """Raised when no table is available for the queried material.""" + + +# Signed WDL convention matching chess.syzygy: +2 win, +1 cursed win, +# 0 draw, -1 blessed loss, -2 loss. +_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 contain ``wdl/``, ``dtz/``, ``dtc/``, ``dtm/`` and + ``dtm50/`` subdirectories (the generator's layout) or the table files directly. Use + :func:`open_tablebase`. Probing is read-only and the result of each query is + derived from the canonical orientation of the board's material. + + One instance is meant to be shared by all threads that probe: tables and + decoded blocks are then opened and decoded once for everyone, rather than + once per thread. See the module docstring for what is locked. + """ + + #: The classes ``_open_wdl`` and its siblings instantiate. A transport that + #: replaces :meth:`_TableFile._open_source` names its subclasses here and + #: overrides :meth:`_find`, rather than reimplementing the + #: look-once-then-cache dance they share. + 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 + + #: Search-directory kinds, in the order a directory tree names them. + 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[Tuple[int, bool], Optional[WDLFile]] = {} + self._dtz_cache: Dict[Tuple[int, bool], Optional[DTZFile]] = {} + self._dtc_cache: Dict[Tuple[int, bool], Optional[DTCFile]] = {} + self._dtm_cache: Dict[Tuple[int, bool], Optional[DTMFile]] = {} + self._dtm50_cache: Dict[Tuple[int, bool], Optional[DTM50File]] = {} + # One lock per kind, guarding that kind's open cache and the `dirs` + # entry its _find walks. Held only across a first open of some + # material, never across a probe. Lock order, where more than one is + # taken: the KINDS order (add_directory and close, both rare). + self._open_locks: Dict[str, threading.Lock] = { + kind: threading.Lock() for kind in self.KINDS} + # Lets close() wait for in-flight probes before unmapping, mirroring + # chess.syzygy.Table's read_count/read_condition pair. + self._read_condition = threading.Condition() + self._read_count = 0 + # Shared LRU so decoded blocks are reclaimed automatically once the + # budget is exceeded, rather than growing for the lifetime of the probe. + self._block_cache = _BlockCache(block_cache_bytes) + self.add_directory(directory) + + def add_directory(self, directory: str) -> None: + """Add another search directory (and its kind subdirectories). + + Safe to call while other threads probe: each kind's list is extended + under the lock its :meth:`_find` holds, so no probe sees a partly + extended search path. Tables already resolved are not re-resolved, + exactly as before -- a directory added late only affects materials not + yet looked up. + """ + for kind in self.KINDS: + with self._open_locks[kind]: + self.dirs[kind].append(os.path.join(directory, kind)) + self.dirs[kind].append(directory) + + def close(self) -> None: + """Drop all cached decoded blocks and unmap all open tables. + + Waits for probes running on other threads to finish first: unmapping + under a live probe would pull the table's memory out from under it. + Probes arriving afterwards are not turned away (as in + :mod:`chess.syzygy`) -- they simply reopen what they need -- so a + continuous stream of them can keep this waiting for a while. + """ + with self._read_condition: + while self._read_count > 0: + self._read_condition.wait() + # Readers are drained and, holding the condition, none can enter, + # so the open caches are ours: a concurrent _open_* would have had + # to register as a reader first. + 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[Tuple[int, bool], Optional[_TableFileT]]) -> None: + """Unmap every open table in one kind's cache and forget them all.""" + 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 os.path.exists(p): + return p + return None + + # A cached `None` means "looked, no such table", so these subscript rather + # than `.get()`: absence of the key is the only thing that means "not looked + # up yet". The hit path runs outside the lock; only a first open takes it, + # and re-checks once inside in case another thread just did the work. + 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) + # Published only once fully constructed, so no other thread can + # reach a table whose header is still being parsed. + 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 + + # --- 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 + + # Prefer the child's opposing-pair table when one is on disk: a move that + # keeps the pair (any non-capture, including a free-pawn push) stays in a + # 'p' material that the board-derived config below would miss -- it sees + # the pair pawns as ordinary free pawns. Falls back to the full physical + # material for captures/promotions and when no 'p' table is present. + paired = pair_config_from_board(child) + if paired is not None and self._has_any_table(paired[0]): + cfg, mirrored = paired + else: + cfg, mirrored = piece_config_from_board(child) + + # Mirror before lifting the ep off, so it can't desync from the position. + if mirrored: + child = mirror_for_canonical(child) + ep = child.ep_square + child.ep_square = None + return cfg, child, ep, zeroing + + # --- WDL --- + def _relax_bound_wdl(self, board: chess.Board, depth: int) -> int: + """Best class a move out of this material reaches. Captures and + promotions only: their children live in a sub-table, so this never + re-enters the frame it is resolving.""" + if depth >= MAX_DERIVE_DEPTH: + return ILLEGAL + b = _internal_board(board) + best = ILLEGAL + for m in b.legal_moves: + # A stored cell carries no ep rights; _probe_wdl_impl folds an ep + # capture in on top of whatever this returns. + if m.promotion is None and b.piece_at(m.to_square) is None: + continue + cfg_c, cboard, cep, _zeroing = self._make_child(b, m) + cw = DRAW if cfg_c.is_bare_kings else self._probe_wdl_impl( + cfg_c, cboard, cep, depth + 1) + if cw == ILLEGAL: + continue + mine = invert_wdl(cw) + if wdl_rank(mine) > wdl_rank(best): + best = mine + return best + + def _raise_by_bound(self, w: WDLFile, frame: int, stored: int, + board: chess.Board, depth: int) -> int: + """A relaxed frame stores no better than the truth, and stores strictly + worse only where the bound above reaches it. ILLEGAL stays ILLEGAL.""" + if not w.is_relaxed[frame] or stored == ILLEGAL: + return stored + bound = self._relax_bound_wdl(board, depth) + return bound if wdl_rank(bound) > wdl_rank(stored) else stored + + def _read_wdl_stored(self, w: Optional[WDLFile], board: chess.Board, + depth: int) -> int: + if w is None: + return 7 # WDL_Stored::ILLEGAL + color = CPP_WHITE if board.turn == WHITE else CPP_BLACK + s = w.read(color, board) + if not w.is_relaxed[color] or s == 7: + return s + # Relaxation never touches a marker cell. + if s == 6 or s == 5: # BOUNDARY_WIN / BOUNDARY_LOSS + return s + bound = self._relax_bound_wdl(board, depth) + return bound if wdl_rank(bound) > wdl_rank(s) else s + + def _probe_wdl_internal(self, w: Optional[WDLFile], cfg: PieceConfig, + board: chess.Board, depth: int) -> int: + if w is None: + return ILLEGAL + color = CPP_WHITE if board.turn == WHITE else CPP_BLACK + if w.is_dropped[color]: + if not is_symmetric_material(cfg): + return self._derive_wdl(board, depth) + mp = mirror_for_canonical(board) + mc = CPP_WHITE if mp.turn == WHITE else CPP_BLACK + return self._raise_by_bound(w, mc, wdl_from_storage(w.read(mc, mp)), + board, depth) + return self._raise_by_bound(w, color, wdl_from_storage(w.read(color, board)), + board, depth) + + def _derive_wdl(self, board: chess.Board, depth: int) -> int: + if depth >= MAX_DERIVE_DEPTH: + return ILLEGAL + b = _internal_board(board) + any_legal = have = False + best = LOSE + skipped = _SkippedChildren() + for m in b.legal_moves: + any_legal = True + cfg_c, cboard, cep, zeroing = self._make_child(b, m) + if cfg_c.is_bare_kings: + mw = DRAW + elif zeroing: + cw = self._probe_wdl_impl(cfg_c, cboard, cep, depth + 1) + # No entry, so no class either: nothing bounds this skip. + if cw == ILLEGAL: + skipped.unknown() + continue + mw = invert_wdl(cw) + else: + cs = self._read_wdl_stored(self._open_wdl(cfg_c), cboard, depth + 1) + if cs == 7: + skipped.unknown() + continue + mw = invert_stored(cs) + if wdl_rank(mw) > wdl_rank(best): + best = mw + have = True + if not any_legal: + return LOSE if b.is_check() else DRAW + if not have or skipped.unpin(best): + return ILLEGAL + return best + + def _probe_wdl_impl(self, cfg: PieceConfig, board: chess.Board, + ep_square: Optional[int], depth: int) -> int: + best = self._probe_wdl_internal(self._open_wdl(cfg), cfg, board, depth) + if best == ILLEGAL or ep_square is None: + return best + bcopy, eps = _ep_capture_moves(board, ep_square) + for m in eps: + cfg_c, cboard, _cep, _ = self._make_child(bcopy, m) + cw = DRAW if cfg_c.is_bare_kings else self._probe_wdl_internal( + self._open_wdl(cfg_c), cfg_c, cboard, depth + 1) + if cw == ILLEGAL: + continue + mine = invert_wdl(cw) + if wdl_rank(mine) > wdl_rank(best): + best = mine + return best + + # --- DTZ --- + def _probe_dtz_internal(self, d: Optional[DTZFile], cfg: PieceConfig, + board: chess.Board, wdl: int, depth: int) -> Optional[int]: + if d is None: + return None + color, mp, readable = locate_frame(d, cfg, board, wdl) + if not readable: + return self._derive_dtz(board, wdl, depth) + return d.read(color, board if mp is None else mp, wdl) + + def _derive_dtz(self, board: chess.Board, wdl: int, depth: int) -> Optional[int]: + if depth >= MAX_DERIVE_DEPTH: + return None + # A DRAW zeroes nowhere, and every caller prices it without a derive. + assert wdl != DRAW + b = _internal_board(board) + any_legal = have = False + best_wdl, best_dtz = LOSE, 0 + skipped = _SkippedChildren() + for m in b.legal_moves: + any_legal = True + cfg_c, cboard, cep, zeroing = self._make_child(b, m) + if cfg_c.is_bare_kings: + cw, my_dtz = DRAW, 1 + elif zeroing: + if child_class_is_forced(wdl): + cw = WIN + else: + cw = self._probe_wdl_impl(cfg_c, cboard, cep, depth + 1) + if cw == ILLEGAL: + skipped.unknown() + continue + my_dtz = 1 + else: + if child_class_is_forced(wdl): + cw = WIN + else: + cw = self._probe_wdl_internal(self._open_wdl(cfg_c), cfg_c, cboard, depth + 1) + if cw == ILLEGAL: + skipped.unknown() + continue + # Outranked: it loses the minimax however near it zeroes, + # so skipping its distance cannot affect the result. + if below_pinned_class(wdl, dtz_lift(invert_wdl(cw))): + continue + child_dtz = self._probe_dtz_internal(self._open_dtz(cfg_c), cfg_c, cboard, cw, depth + 1) + if child_dtz is None: + skipped.of_dtz_class(invert_wdl(cw)) + continue + my_dtz = 1 + child_dtz + my_wdl = invert_wdl(cw) + if my_dtz > MAX_NON_CURSED_DTZ: + if my_wdl == WIN: + my_wdl = CURSED_WIN + elif my_wdl == LOSE: + my_wdl = BLESSED_LOSS + if not have or prefer_new(my_wdl, my_dtz, best_wdl, best_dtz): + best_wdl, best_dtz, have = my_wdl, my_dtz, True + if not any_legal: + return 0 + if not have or skipped.unpin(best_wdl): + return None + if best_wdl == DRAW: + return 0 + return best_dtz + + # --- DTC (whose unbounded row answers DTZ too) --- + def _probe_dtc_internal(self, c: Optional[DTCFile], cfg: PieceConfig, + board: chess.Board, wdl: int, rule50: int, + depth: int) -> Optional[_DTCCell]: + if c is None: + return None + color, mp, readable = locate_frame(c, cfg, board, wdl) + if not readable: + return self._derive_dtc(board, wdl, rule50, depth) + return c.read(color, board if mp is None else mp, wdl, rule50) + + def _read_dtc_curve(self, c: Optional[DTCFile], cfg: PieceConfig, + board: chess.Board, wdl: int) -> Optional[List[int]]: + """The whole record of a position this table does hold, for a derive to + minimax over. The child keeps the physical material, so the pack its own + config names answers -- this file, or the 'p' table that re-indexes an + opposing pair.""" + if c is None: + return None + color, mp, readable = locate_frame(c, cfg, board, wdl) + if not readable: + return None + return c.read_curve(color, board if mp is None else mp, wdl) + + @staticmethod + def _dtc_move_kind(board: chess.Board, move: chess.Move) -> Tuple[bool, bool]: + """(conversion, push). A capture or promotion converts; a pawn move that + does neither spends one of the budget instead.""" + conversion = (move.promotion is not None + or board.piece_at(move.to_square) is not None) + 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 is a conversion, so it owes no push and lands one ply out: the + cheapest answer DTC has, which every budget affords. Nothing answers for + a capture whose sub-table is absent, and the child's whole value turns on + it, so that is a third answer rather than a no -- though a capture that + does win settles it whatever the other one says. `depth` is the child's, + so a grandchild is one deeper, as under the overlay.""" + 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: a push and a quiet move both keep the material, so + they land in the frame that was kept, and a conversion is terminal at + value 1 under its own WDL, as inside a layer's retro. A winner's push + spends one of the budget and reads one budget lower; nothing else moves + it. The same walk folds the unbounded row the pack carries, so this + derives everything the table serves. + + The class, known before any child is read, says how much of one to read: + a win takes the cheapest budget any move offers, which is the pair a + read returns at the clock behind that move, while a loss settles on the + budget the most stubborn defence forces, which no single pair names.""" + if depth >= MAX_DERIVE_DEPTH: + return None + if wdl == WIN: + return self._derive_dtc_win(board, rule50, depth) + if wdl == LOSE: + return self._derive_dtc_loss(board, rule50, depth) + return self._derive_dtc_cursed(board, wdl, depth) + + def _derive_dtc_win(self, board: chess.Board, rule50: int, + depth: int) -> Optional[_DTCCell]: + b = _internal_board(board) + have = False + best_order = best_value = 0 + budget_plies = dtc_budget_plies(rule50) + unbounded = _UnboundedFold(WIN) + for m in b.legal_moves: + conversion, push = self._dtc_move_kind(b, m) + cfg_c, cboard, cep, _zeroing = self._make_child(b, m) + if cfg_c.is_bare_kings: + continue + # A double push hands the opponent an ep capture, which the class has + # to carry: the generator prices the same reply into the push it + # evaluates. + cw = self._probe_wdl_impl(cfg_c, cboard, cep, depth + 1) + if cw == ILLEGAL: + return None + # Only a clean loss for the other side carries a clean win, and + # anything else leaves a budget drawn however the rest are priced. + if cw != LOSE: + continue + order, value = 0, 1 + if conversion: + unbounded.zeroing_child() + else: + # A push zeroes the clock and spends one of the budget; a quiet + # move spends a ply of the clock and none of the budget. + child_rule50 = 0 if push else ( + IGNORE_50MR if rule50 == IGNORE_50MR else rule50 + 1) + cell = self._child_dtc_cell(cfg_c, cboard, cep, cw, + child_rule50, depth + 1) + if cell is None: + return None + # The row is clock-free, so it takes this child whatever the + # clock made of its budgets. + 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 + # The clock this position holds: a child behind a zeroing move + # answered against a fresh one. + if value > budget_plies: + continue + if not have or order < best_order or (order == best_order + and value < best_value): + best_order, best_value, have = order, value, True + dtz = unbounded.value() + return _DTCCell(best_order, best_value, dtz) if have else _DTCCell(dtz=dtz) + + def _derive_dtc_loss(self, board: chess.Board, rule50: int, + depth: int) -> Optional[_DTCCell]: + """Every move prices a loss, so this one walks the children's whole + records: the budget it settles on is the highest any defence needs, and + the value there is the longest wait among them, which a child's own + cheapest budget does not report. Every child is a win for the other + side, so none needs its class read.""" + b = _internal_board(board) + worst = [0] * DTC_PACK_LAYERS + drawn = [False] * DTC_PACK_LAYERS + any_legal = False + unbounded = _UnboundedFold(LOSE) + + # Past the band the budget answers nothing, the ply ceiling being the + # layer's own draw. + def raise_at(k: int, val: int) -> None: + if val > MAX_NON_CURSED_DTZ: + drawn[k] = True + elif val > worst[k]: + worst[k] = val + + for m in b.legal_moves: + any_legal = True + conversion, push = self._dtc_move_kind(b, m) + cfg_c, cboard, cep, _zeroing = self._make_child(b, m) + if conversion or cfg_c.is_bare_kings: + # A conversion ends the count here, whatever budget the rest + # settle on. + for k in range(DTC_PACK_LAYERS): + raise_at(k, 1) + unbounded.zeroing_child() + continue + # A double push leaves the winner an ep capture the child's own + # record cannot express. It converts, so where it wins it settles + # every budget one ply out and this defence gains nothing by the + # push. + if cep is not None: + ep_wins = self._ep_conversion_wins(cboard, cep, depth + 1) + if ep_wins is None: + return None + if ep_wins: + assert push # only a double push leaves ep rights behind + for k in range(DTC_PACK_LAYERS): + raise_at(k, 1) + unbounded.zeroing_child() + continue + + curve = self._read_dtc_curve(self._open_dtc(cfg_c), cfg_c, cboard, WIN) + if curve is None: + return None + # A push is the zeroing move itself and spends none of the winner's + # budget; a quiet move waits one ply more at the same budget. + if push: + unbounded.zeroing_child() + else: + unbounded.quiet_child(curve[DTC_BUDGET_LAYERS]) + for k in range(DTC_PACK_LAYERS): + v = curve[k] + if v == DTC_DRAWN: + drawn[k] = True + else: + raise_at(k, 1 if push else v + 1) + + if not any_legal: + return _DTCCell(0, 0, 0) # mate: converted, nothing owed + dtz = unbounded.value() + budget_plies = dtc_budget_plies(rule50) + for k in range(DTC_PACK_LAYERS): + if not drawn[k] and worst[k] <= budget_plies: + return _DTCCell(k, worst[k], dtz) + return _DTCCell(dtz=dtz) + + def _derive_dtc_cursed(self, board: chess.Board, wdl: int, + depth: int) -> Optional[_DTCCell]: + """A cursed class has no budget to look for, none of them settling it, + so the unbounded row is the whole of what this derives.""" + b = _internal_board(board) + winning = (wdl == CURSED_WIN) + unbounded = _UnboundedFold(wdl) + any_legal = False + for m in b.legal_moves: + any_legal = True + conversion, push = self._dtc_move_kind(b, m) + cfg_c, cboard, cep, _zeroing = self._make_child(b, m) + if cfg_c.is_bare_kings: + if winning: + continue # a draw no cursed win would take + return None + cw = self._probe_wdl_impl(cfg_c, cboard, cep, depth + 1) + if cw == ILLEGAL: + return None + # A win runs over the moves that win and nothing else can beat them; + # a loss is priced by every move it has. + if winning and cw not in (LOSE, BLESSED_LOSS): + continue + if conversion or push: + unbounded.zeroing_child() + continue + cell = self._probe_dtc_internal(self._open_dtc(cfg_c), cfg_c, cboard, + cw, IGNORE_50MR, depth + 1) + if cell is None: + return None + unbounded.quiet_child(cell.dtz) + return _DTCCell(dtz=unbounded.value()) if any_legal else _DTCCell() + + # --- DTM (the standalone `dtm/` table) --- + def _probe_dtm_internal(self, d: Optional[DTMFile], cfg: PieceConfig, + board: chess.Board, wdl: int, depth: int) -> Optional[int]: + if d is None: + return None + color, mp, readable = locate_frame(d, cfg, board, wdl) + if not readable: + return self._derive_dtm(board, wdl, depth) + return d.read(color, board if mp is None else mp, wdl) + + def _derive_dtm(self, board: chess.Board, wdl: int, depth: int) -> Optional[int]: + """DTM by one-ply minimax for a dropped frame of the DTM table. 50MR-free, + so a cursed win mates like any other -- which is what folding the pin + expresses, and why no child needs its clock tracked.""" + if depth >= MAX_DERIVE_DEPTH: + return None + pinned = fold_dtm_wdl(wdl) + # A DRAW mates nowhere, and every caller prices it without a derive. + assert pinned != DRAW + b = _internal_board(board) + any_legal = have = False + best_wdl, best_dtm = LOSE, 0 + skipped = _SkippedChildren() + for mv in b.legal_moves: + any_legal = True + cfg_c, cboard, cep, _zeroing = self._make_child(b, mv) + if cfg_c.is_bare_kings: + cw, cd = DRAW, 0 + elif cep is not None: + cr = self._probe_impl(cfg_c, cboard, IGNORE_50MR, cep, depth + 1) + if cr.status != "ok" or cr.wdl == ILLEGAL: + skipped.unknown() + continue + if not cr.has_dtm: + skipped.of_class(invert_wdl(fold_dtm_wdl(cr.wdl))) + continue + cw, cd = cr.wdl, cr.dtm + else: + if child_class_is_forced(pinned): + cw = WIN + else: + cw = self._probe_wdl_internal(self._open_wdl(cfg_c), cfg_c, + cboard, depth + 1) + if cw == ILLEGAL: + skipped.unknown() + continue + # Outranked: no mate distance it holds can win the minimax, + # and a skip of it would bound nothing -- of_class ranks it + # this far. + if below_pinned_class(pinned, invert_wdl(fold_dtm_wdl(cw))): + continue + # The `dtm/` table alone: each derive stays on the file it + # rebuilds. + child_dtm = self._probe_dtm_internal(self._open_dtm(cfg_c), cfg_c, + cboard, cw, depth + 1) + if child_dtm is None: + skipped.of_class(invert_wdl(fold_dtm_wdl(cw))) + continue + cd = child_dtm + my_wdl = invert_wdl(fold_dtm_wdl(cw)) + my_dtm = 1 + cd + if not have or prefer_new(my_wdl, my_dtm, best_wdl, best_dtm): + best_wdl, best_dtm, have = my_wdl, my_dtm, True + if not any_legal: + return 0 + if not have or skipped.unpin(best_wdl): + return None + if best_wdl in (WIN, LOSE): + return best_dtm + return 0 + + # --- DTM50 (whose flat layer answers DTM too) --- + def _probe_dtm50_internal(self, m: Optional[DTM50File], cfg: PieceConfig, + board: chess.Board, wdl: int, rule50: int, + depth: int) -> _DTM50Result: + flat = (rule50 == IGNORE_50MR) + if not flat and rule50 >= DTM50_HMC_COUNT: + return _DTM50Result(DRAW, 0) + if m is None: + return _DTM50Result(ILLEGAL, 0) + + # A cell carries the DRAW flip that pins DTZ; a derived one prices it + # itself. Only layer 0 bothers: zeroing is clock-free, so _probe_impl + # reads DTZ off the flat probe and a layered one would only recompute + # what it drops. + 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) + # Layer 0 is 50MR-free, so a cursed win still mates; only a true DRAW + # stays one, and _probe_impl prices that without reaching a derive. + pinned = fold_dtm_wdl(wdl) + assert pinned != DRAW + b = _internal_board(board) + any_legal = have = False + best_wdl, best_dtm = LOSE, 0 + dtz = _DTZMinimax() + skipped = _SkippedChildren() + for mv in b.legal_moves: + any_legal = True + cfg_c, cboard, cep, zeroing = self._make_child(b, mv) + if cfg_c.is_bare_kings: + cw, cd = DRAW, 0 + dtz.zeroing_child(DRAW) + elif cep is not None: + cr = self._probe_impl(cfg_c, cboard, IGNORE_50MR, cep, depth + 1) + if cr.status != "ok" or cr.wdl == ILLEGAL: + skipped.unknown() + dtz.unwalked() + continue + dtz.zeroing_child(cr.wdl) # a double push zeroes the clock + if not cr.has_dtm: + skipped.of_class(invert_wdl(fold_dtm_wdl(cr.wdl))) + continue + cw, cd = cr.wdl, cr.dtm + else: + # The pack alone: a child shipping only `dtm/` goes unpriced here. + if child_class_is_forced(wdl): + # Keep this exact rather than folded: the DTZ minimax running + # beside the mate one still needs all five WDL classes. + 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 + # Outranked for the mate distance, and so for zeroing too: + # neither accumulator can take it, so the cell goes unread. + 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) + # Under the clock, cursed wins and blessed losses collapse to DRAW along + # with a DRAW itself; _probe_impl settles all three before the layer. + assert fold_50mr_wdl(wdl) != DRAW + b = _internal_board(board) + any_legal = have = False + best_wdl, best_dtm = LOSE, 0 + skipped = _SkippedChildren() + for mv in b.legal_moves: + any_legal = True + cfg_c, cboard, cep, zeroing = self._make_child(b, mv) + child_rule50 = 0 if zeroing else rule50 + 1 + if cfg_c.is_bare_kings: + cd_wdl, cd_dtm = DRAW, 0 + elif child_rule50 >= DTM50_HMC_COUNT: + # The mate test is the only thing that prices it, so it runs + # unscreened. + 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 + # Outranked: the clock only walks an offer further toward + # DRAW, never up to the pinned class, so the cell goes unread. + if below_pinned_class(wdl, invert_wdl(cw)): + continue + child = self._probe_dtm50_internal(self._open_dtm50(cfg_c), cfg_c, cboard, + cw, child_rule50, depth + 1) + if child.wdl == ILLEGAL: + skipped.of_class(invert_wdl(fold_50mr_wdl(cw))) + continue + cd_wdl, cd_dtm = child.wdl, child.dtm + my_wdl = invert_wdl(fold_50mr_wdl(cd_wdl)) + my_dtm = 1 + cd_dtm + if not have or prefer_new(my_wdl, my_dtm, best_wdl, best_dtm): + best_wdl, best_dtm, have = my_wdl, my_dtm, True + if not any_legal: + return _DTM50Result(LOSE if b.is_check() else DRAW, 0) + if not have or skipped.unpin(best_wdl): + return _DTM50Result(ILLEGAL, 0) + if best_wdl in (WIN, LOSE): + return _DTM50Result(best_wdl, best_dtm) + return _DTM50Result(DRAW, 0) + + # --- combined probe (mirrors probe.cpp's probe_impl, with ep overlay) --- + def _probe_impl(self, cfg: PieceConfig, board: chess.Board, rule50: int, + ep_square: Optional[int], depth: int) -> ProbeResult: + r = ProbeResult() + w = self._open_wdl(cfg) + rule50_drawn = (rule50 != IGNORE_50MR and rule50 >= DTM50_HMC_COUNT) + # DTZ/DTM/DTM50 reads are all gated on WDL, so WDL absent (and not a + # rule50 auto-draw) means there is nothing to return. + if w is None and not rule50_drawn: + return r # tb_not_found + r.status = "ok" + if w is not None: + r.wdl = self._probe_wdl_internal(w, cfg, board, depth) + if r.wdl == ILLEGAL: + return r + # A DRAW is priced without opening anything: no mate to count, + # nowhere to zero, and no clock that can turn it decisive. Every + # reader answers 0 for it anyway. + if r.wdl == DRAW: + r.has_dtm = True + r.has_dtz = True + r.has_dtc = True + r.dtc_wdl = DRAW + if rule50 != IGNORE_50MR: + r.dtm50_wdl = DRAW + r.has_dtm50 = True + m50 = None + else: + m50 = self._open_dtm50(cfg) + if m50 is None: + # No pack, so the mate distance comes from the `dtm/` table + # the pack otherwise makes redundant. DTZ still follows + # below, and nothing here can answer the rule-true layer. + m = self._open_dtm(cfg) + if m is not None: + dtm = self._probe_dtm_internal(m, cfg, board, r.wdl, depth) + r.has_dtm = dtm is not None + if dtm is not None: + r.dtm = dtm + if m50 is not None: # never for a DRAW, which is already answered + d50 = self._probe_dtm50_internal(m50, cfg, board, r.wdl, IGNORE_50MR, depth) + r.dtm = d50.dtm + r.has_dtm = (d50.wdl != ILLEGAL) + r.has_dtz = d50.has_dtz + r.dtz = d50.dtz + if rule50_drawn: + # Mate outruns the claim, and a LOSE at flat distance 0 is + # one. An unpriced distance tells them apart from neither, + # so the layer goes unanswered there. + if r.has_dtm or r.wdl != LOSE: + r.dtm50_wdl = LOSE if (r.wdl == LOSE and r.dtm == 0) else DRAW + r.dtm50 = 0 + r.has_dtm50 = True + elif rule50 != IGNORE_50MR: + # Cursed/blessed are DRAW at every layer; the clock is never read. + if fold_50mr_wdl(r.wdl) == DRAW: + r.dtm50_wdl = DRAW + r.dtm50 = 0 + r.has_dtm50 = True + elif r.has_dtm and dtm50_layer_pinned_by_dtm(r.wdl, r.dtm, rule50): + r.dtm50_wdl = r.wdl # plain W/L, so the DTM50 fold is the identity + r.dtm50 = r.dtm + r.has_dtm50 = True + elif layer_busted_by_dtz(r.wdl, r.dtz, rule50): + r.dtm50_wdl = DRAW + r.dtm50 = 0 + r.has_dtm50 = True + else: + rr = self._probe_dtm50_internal(m50, cfg, board, r.wdl, rule50, depth) + r.dtm50_wdl = rr.wdl + r.dtm50 = rr.dtm + r.has_dtm50 = (rr.wdl != ILLEGAL) + # DTC next: its pack answers both metrics, the budget the caller's + # clock picks and the unbounded row that is the DTZ table it embeds. + # A cursed class or an outrun clock leaves no budget to pick, which + # the read reports by pricing nothing, and a DRAW is priced above + # without opening anything. + if not r.has_dtc and material_has_pawns(cfg): + c = self._open_dtc(cfg) + if c is not None: + cell = self._probe_dtc_internal(c, cfg, board, r.wdl, rule50, depth) + if cell is not None: + r.has_dtc = True + r.dtc_wdl = r.wdl if cell.priced else DRAW + r.dtc_order = cell.order if cell.priced else 0 + r.dtc = cell.value if cell.priced else 0 + # A record carries that row and so does the derive, so a + # decisive class always has one. + assert cell.dtz != DTC_DRAWN + r.has_dtz = True + r.dtz = cell.dtz + # What the packs above left: the DTM50 one stops at the cursed band, + # and a DTC one answers only the materials it is built for. + if not r.has_dtz: + d = self._open_dtz(cfg) + if d is not None: + dtz = self._probe_dtz_internal(d, cfg, board, r.wdl, depth) + if dtz is not None: + r.has_dtz = True + r.dtz = dtz + # Pawnless materials carry no pack: with no push to budget the stack + # is one layer, every zeroing move is a capture and so a conversion, + # which leaves DTZ's own number at order 0. A cursed class is drawn + # without reading it. + if not r.has_dtc and not material_has_pawns(cfg): + if r.wdl not in (WIN, LOSE): + r.has_dtc = True + r.dtc_wdl = DRAW + elif r.has_dtz: + busted = (rule50 != IGNORE_50MR + and layer_busted_by_dtz(r.wdl, r.dtz, rule50)) + r.has_dtc = True + r.dtc_wdl = DRAW if busted else r.wdl + r.dtc = 0 if busted else r.dtz + + if ep_square is None: + return r + bcopy, eps = _ep_capture_moves(board, ep_square) + if not eps: + return r + + best = r + best_dtz_wdl = r.wdl + best_dtz = r.dtz if r.has_dtz else 0 + best_dtm_wdl = fold_dtm_wdl(r.wdl) + best_dtm = r.dtm if r.has_dtm else 0 + best_dtm50_wdl = r.dtm50_wdl if r.has_dtm50 else fold_50mr_wdl(r.wdl) + best_dtm50 = r.dtm50 if r.has_dtm50 else 0 + # DTC compares on its own class, not the clock-independent one: a base + # this clock has drawn must lose to an ep conversion that still wins. + best_dtc_wdl = r.dtc_wdl if r.has_dtc else r.wdl + best_dtc_order = r.dtc_order if r.has_dtc else 0 + best_dtc = r.dtc if r.has_dtc else 0 + for mv in eps: + cfg_c, cboard, _cep, _ = self._make_child(bcopy, mv) + if cfg_c.is_bare_kings: + cr = ProbeResult() + cr.status = "ok" + cr.wdl = DRAW + cr.has_dtz = best.has_dtz; cr.dtz = 0 + cr.has_dtm = best.has_dtm; cr.dtm = 0 + cr.has_dtm50 = best.has_dtm50; cr.dtm50_wdl = DRAW; cr.dtm50 = 0 + else: + cr = self._probe_impl(cfg_c, cboard, 0, None, depth + 1) # ep is zeroing + if cr.status != "ok" or cr.wdl == ILLEGAL: + return ProbeResult() + my_wdl = invert_wdl(cr.wdl) + if wdl_rank(my_wdl) > wdl_rank(best.wdl): + best.wdl = my_wdl + # An ep capture zeroes, so its dtz is 1 whatever the child + # holds. The base value has to be known only to break a tie in class + # -- outranked, it does not enter, which is how a cursed base the + # pack cannot pin still reports a dtz once ep lifts it. + ep_outranks_dtz = wdl_rank(my_wdl) > wdl_rank(best_dtz_wdl) + if ep_outranks_dtz or (best.has_dtz + and prefer_new(my_wdl, 1, best_dtz_wdl, best_dtz)): + best_dtz_wdl, best_dtz = my_wdl, 1 + best.dtz = 0 if my_wdl == DRAW else 1 + best.has_dtz = True + if best.has_dtm and cr.has_dtm: + my_dtm_wdl = fold_dtm_wdl(my_wdl) + my_dtm = 1 + cr.dtm + if prefer_new(my_dtm_wdl, my_dtm, best_dtm_wdl, best_dtm): + best_dtm_wdl, best_dtm = my_dtm_wdl, my_dtm + best.dtm = my_dtm if my_dtm_wdl in (WIN, LOSE) else 0 + # An ep capture is a conversion: it owes no push and lands one ply + # out, so (0, 1) needs no table to know, and the base value enters + # only to break a tie in class. A conversion is terminal to DTC, so + # its class is the child's WDL folded to what a layer holds, as the + # generator classifies one. + my_dtc_wdl = fold_50mr_wdl(invert_wdl(cr.wdl)) + if (wdl_rank(my_dtc_wdl) > wdl_rank(best_dtc_wdl) + or (best.has_dtc and prefer_new_dtc(my_dtc_wdl, 0, 1, + best_dtc_wdl, best_dtc_order, + best_dtc))): + best_dtc_wdl, best_dtc_order, best_dtc = my_dtc_wdl, 0, 1 + best.has_dtc = True + best.dtc_wdl = my_dtc_wdl + best.dtc_order = 0 + best.dtc = 1 if my_dtc_wdl != DRAW else 0 + if best.has_dtm50 and cr.has_dtm50: + my_dtm50_wdl = invert_wdl(cr.dtm50_wdl) + my_dtm50 = 1 + cr.dtm50 + if prefer_new(my_dtm50_wdl, my_dtm50, best_dtm50_wdl, best_dtm50): + best_dtm50_wdl, best_dtm50 = my_dtm50_wdl, my_dtm50 + best.dtm50_wdl = my_dtm50_wdl + best.dtm50 = my_dtm50 if my_dtm50_wdl in (WIN, LOSE) else 0 + return best + + # --- public API --- + def probe(self, board: chess.Board, rule50: int = 0) -> ProbeResult: + """Full probe of `board`. `rule50` (the halfmove clock) selects the DTM50 + layer. Returns a :class:`ProbeResult`; its ``status`` is ``"ok"`` or + ``"tb_not_found"`` (no table for the material). + + Raises :class:`MissingTableError` if `board` has castling rights: the + tables are built without them, so no cell describes such a position. + + Safe to call concurrently from several threads. This is the one entry + point every other probe method funnels through, so registering as a + reader here covers the whole walk, including the tables it opens on the + way; the registration itself only ever blocks a concurrent + :meth:`close`, never another probe.""" + if board.castling_rights: + raise MissingTableError( + f"chesstb tables do not contain positions with castling rights: {board.fen()}") + with self._read_condition: + self._read_count += 1 + try: + # Prefer the pair table: if the board has an opposing pawn pair and + # that 'p' table is on disk, route there; else fall back to the + # full material. The pair table is partial and a position has the + # same value in either, so preferring the pair table when present is + # safe. + paired = pair_config_from_board(board) + if paired is not None and self._has_any_table(paired[0]): + cfg, mirrored = paired + else: + cfg, mirrored = piece_config_from_board(board) + cboard = mirror_for_canonical(board) if mirrored else board.copy(stack=False) + # ep travels as an overlay, not on the board. + ep = cboard.ep_square + cboard.ep_square = None + return self._probe_impl(cfg, cboard, rule50, ep, 0) + finally: + with self._read_condition: + self._read_count -= 1 + self._read_condition.notify_all() + + def _require(self, board: chess.Board) -> ProbeResult: + r = self.probe(board) + if r.status == "tb_not_found": + cfg, _ = piece_config_from_board(board) + raise MissingTableError(f"no chesstb table for {cfg.name()}") + 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. + cfg, _ = piece_config_from_board(board) + raise MissingTableError( + f"chesstb tables for {cfg.name()} cannot resolve this position") + return r + + def probe_wdl(self, board: chess.Board) -> int: + """5-class WDL as a signed int: +2 win, +1 cursed win, 0 draw, + -1 blessed loss, -2 loss. Raises :class:`MissingTableError` if no table + for the position.""" + return _WDL_SIGNED[self._require(board).wdl] + + def get_wdl(self, board: chess.Board, default: Any = None) -> Any: + try: + return self.probe_wdl(board) + except MissingTableError: + return default + + def probe_dtz(self, board: chess.Board) -> int: + """Signed distance to zeroing: +N = side to move reaches a capture, + promotion or pawn move toward a win in N plies, -N toward a loss, + 0 = draw. + + Measures what :meth:`chess.syzygy.Tablebase.probe_dtz` measures, but the + two are not interchangeable. Syzygy bases the cursed band off 100 -- + ``n > 100`` is a cursed win whose zeroing move is n or n - 100 plies + away -- so a DTZ magnitude carries the class along with the count. Here + the class stays in WDL and the count is plain at every value. + """ + 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, int]: + """Distance to conversion at the board's halfmove clock (or `rule50` if + given), with pawn pushes priced separately from waiting. Returns + ``(signed_wdl, pushes_owed, plies)``: the pushes the winning side still + owes before a capture or promotion, and the plies to the next zeroing + move on the line that owes them. + + The key is pushes first, then plies: a line that converts without + touching a pawn beats one that spends a push, even when the push is + quicker. Fewer pushes cost a longer wait, so a tight clock forces the + trade the other way, and where no budget fits the clock the answer is a + 50MR draw -- ``(0, 0, 0)`` -- since that clock has taken the win. + + Pawnful materials carry a ``.lzdtc`` pack; for a pawnless one every + zeroing move is already a conversion, so the answer is DTZ's own number + at nothing owed.""" + hmc = board.halfmove_clock if rule50 is None else rule50 + r = self.probe(board, hmc) + if r.status == "tb_not_found": + cfg, _ = piece_config_from_board(board) + raise MissingTableError(f"no chesstb table for {cfg.name()}") + if not r.has_dtc: + raise MissingTableError("DTC unavailable") + return (_WDL_SIGNED[r.dtc_wdl], r.dtc_order, r.dtc) + + 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) -> Tuple[int, int]: + """50-move-rule-aware distance to mate at the board's halfmove clock (or + `rule50` if given). Returns ``(signed_wdl, plies)``; cursed/blessed both + collapse to draw under the 50-move rule.""" + hmc = board.halfmove_clock if rule50 is None else rule50 + cfg, _ = piece_config_from_board(board) + r = self.probe(board, hmc) + if r.status == "tb_not_found": + raise MissingTableError(f"no chesstb table for {cfg.name()}") + if not r.has_dtm50: + raise MissingTableError("DTM50 unavailable") + return (_WDL_SIGNED[r.dtm50_wdl], r.dtm50) + + +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 a least-recently-used cache bounded by + `block_cache_bytes`; older blocks are reclaimed automatically once the + budget is exceeded.""" + return Tablebase(directory, block_cache_bytes=block_cache_bytes) diff --git a/data/chesstb/dtc/KPK.lzdtc 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or pawn +move), a **DTC** pack pricing pawn pushes separately from waiting, and a +**DTM50** pack giving both the unbounded **DTM** (depth to mate) and the exact +50-move-rule DTM at any halfmove clock. Where no pack is present, a standalone +**DTM** table answers the unbounded mate distance on its own. Positions with +castling rights are not included. + +Table files are looked up in the ``wdl/``, ``dtz/``, ``dtc/``, ``dtm/`` and +``dtm50/`` subdirectories of each search directory, and in the directory +itself. Each pack embeds an unbounded table and so makes it redundant -- the +DTM50 pack the standalone DTM, the DTC pack the DTZ -- and a material shipping +both is read from the pack alone. + +DTZ measures the same thing as syzygy's, but encodes it differently and the two +are not interchangeable: syzygy bases its cursed band off 100, so a DTZ magnitude +carries the WDL class along with the count, whereas a chesstb DTZ is a plain +distance in every class, the class being WDL's alone. + +**DTC** answers a pair at a given halfmove clock: how many pawn pushes the +winning side still owes before a conversion (a capture or a promotion), and the +plies to the next zeroing move on the line that owes them. The key is pushes +first, then plies, which is what DTZ cannot express -- it prices every push at 1 +and so reads 1 almost everywhere a pawn can move. Fewer pushes cost a longer +wait, so a tighter clock forces the trade the other way, and where no budget +fits the clock the answer is a 50-move draw. Packs exist for pawnful materials; +for a pawnless one every zeroing move is already a conversion, so the answer is +DTZ's own number at nothing owed. + +Probes assume a legal position -- both kings present, the side not to move not +in check, no pawn outside ranks 2-7 -- and do not validate it. Probing +anything else is undefined: it reads whatever cell the placement maps to, or +raises out of the indexer. Screen untrusted input with +:func:`chess.Board.is_valid` first. Castling rights are the one excluded input +that 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. + +.. 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)) # (2, 19): rule-true (wdl, plies) + print(tablebase.probe_dtc(board)) # (2, 0, 19): (wdl, pushes, plies) + + board = chess.Board("8/8/8/k7/8/8/K4P2/8 w - - 0 1") + print(tablebase.probe_dtc(board)) # (2, 4, 23): four pushes, 23 plies + print(tablebase.probe_dtc(board, 80)) # (2, 5, 19): tighter clock, one push more + print(tablebase.probe_dtc(board, 95)) # (0, 0, 0): that clock has taken the win + +.. warning:: + Maliciously crafted tablebase files may cause denial of service. + +.. autofunction:: chess.chesstb.open_tablebase + +.. autoclass:: chess.chesstb.Tablebase + :members: probe_wdl, get_wdl, probe_dtz, get_dtz, probe_dtc, probe_dtm, get_dtm, probe_dtm50, probe, add_directory, close + +.. autoclass:: chess.chesstb.ProbeResult + :members: + +.. autoexception:: chess.chesstb.MissingTableError diff --git a/docs/index.rst b/docs/index.rst index da8558da6..efee8528f 100644 --- a/docs/index.rst +++ b/docs/index.rst @@ -11,6 +11,7 @@ Contents polyglot gaviota syzygy + chesstb engine svg variant diff --git a/test.py b/test.py index cc8a95b7c..699860f2b 100755 --- a/test.py +++ b/test.py @@ -6,13 +6,16 @@ import os import os.path import platform +import struct import sys import tempfile import textwrap +import threading import unittest import io import chess +import chess.chesstb import chess.gaviota import chess.engine import chess.pgn @@ -4955,6 +4958,603 @@ def test_antichess_pgn(self): self.assertEqual(game.end().board().fen(), "8/6k1/3K4/8/8/3k4/8/8 w - - 4 33") +class ChesstbTestCase(unittest.TestCase): + + def open_without_pack(self): + # A tablebase with the DTM50 pack out of the search path, which is how + # material shipping no pack is probed: the mate distance has to come + # from the standalone dtm/ table instead of the pack's flat layer. + tables = chess.chesstb.open_tablebase("data/chesstb") + tables.dirs["dtm50"].clear() + return tables + + # --- The four table kinds, and how a directory is searched for them. --- + + def test_table_kinds(self): + # One file class and one search subdirectory per kind. DTZ and DTM share + # one on-disk layout and so one reader (_RankFile); the value decode is + # the whole of what separates them, so it is asserted directly rather + # than through a probe that could pass for other reasons. DTC and DTM50 + # likewise share the changepoint container (_LayeredFile) and differ in + # what a record means, which the DTC tests below cover. + classes = [chess.chesstb.WDLFile, chess.chesstb.DTZFile, + chess.chesstb.DTCFile, chess.chesstb.DTMFile, + chess.chesstb.DTM50File] + self.assertEqual([c.KIND.lower() for c in classes], + list(chess.chesstb.Tablebase.KINDS)) + self.assertEqual(len({c.MAGIC for c in classes}), len(classes)) + self.assertEqual([c.EXT for c in classes], + [".lzw", ".lzdtz", ".lzdtc", ".lzdtm", ".lzdtm50"]) + # A stored 9 under a WIN: DTZ keeps the count, DTM doubles it and adds + # the ply the class implies. + self.assertEqual(chess.chesstb.DTZFile._value_from_storage(9, chess.chesstb.WIN, 1), 9) + self.assertEqual(chess.chesstb.DTMFile._value_from_storage(9, chess.chesstb.WIN, 1), 19) + self.assertEqual(chess.chesstb.DTMFile._value_from_storage(9, chess.chesstb.LOSE, 1), 18) + # Cell width changes the DTZ decode and never the DTM one, which is why + # only one of the two reads it. + self.assertEqual(chess.chesstb.DTZFile._value_from_storage(9, chess.chesstb.CURSED_WIN, 1), 17) + self.assertEqual(chess.chesstb.DTZFile._value_from_storage(9, chess.chesstb.CURSED_WIN, 2), 9) + + def test_search_directories(self): + with chess.chesstb.open_tablebase("data/chesstb") as tables: + # Every kind looks in its own subdirectory first, then in the + # directory itself, so a flat dump of table files is also probeable. + for kind in chess.chesstb.Tablebase.KINDS: + self.assertEqual(tables.dirs[kind], + [os.path.join("data/chesstb", kind), "data/chesstb"]) + tables.add_directory("data") + for kind in chess.chesstb.Tablebase.KINDS: + self.assertEqual(tables.dirs[kind][-2:], [os.path.join("data", kind), "data"]) + + # A directory holding no tables at all is not an error, just an absence. + with tempfile.TemporaryDirectory() as empty: + with chess.chesstb.open_tablebase(empty) as tables: + board = chess.Board("8/8/8/5k2/8/8/1Q6/K7 w - - 0 1") + self.assertIsNone(tables.get_wdl(board)) + self.assertEqual(tables.probe(board).status, "tb_not_found") + + # --- What a probe answers, and in what convention. --- + + def test_probe(self): + with chess.chesstb.open_tablebase("data/chesstb") as tables: + # KQK: mate distances and the signed WDL convention. + board = chess.Board("8/8/8/5k2/8/8/1Q6/K7 w - - 0 1") + self.assertEqual(tables.probe_wdl(board), 2) + self.assertEqual(tables.probe_dtz(board), 19) + self.assertEqual(tables.probe_dtm(board), 19) + self.assertEqual(tables.probe_dtm50(board), (2, 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), (-2, 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) + + # --- 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), (2, 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), (-2, 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), (-2, 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, 0)) + self.assertEqual(layers, [chess.chesstb.IGNORE_50MR]) + self.assertEqual(tables.probe_dtm50(board, 100), (0, 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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