| |
| """Build, analyze, and sample a Vex Position Dataset (VPD1) database.""" |
|
|
| from __future__ import annotations |
|
|
| import argparse |
| import hashlib |
| import io |
| import json |
| import math |
| import random |
| import sqlite3 |
| import statistics |
| import sys |
| import tarfile |
| import time |
| from pathlib import Path |
|
|
| import chess |
| import chess.pgn |
|
|
|
|
| FORMAT_VERSION = "VPD1" |
| DEFAULT_TARGET = 1_500_000 |
| PHASE_NAMES = {0: "opening", 1: "middlegame", 2: "endgame"} |
| PHASE_IDS = {name: value for value, name in PHASE_NAMES.items()} |
| PIECE_VALUES = { |
| chess.PAWN: 1, |
| chess.KNIGHT: 3, |
| chess.BISHOP: 3, |
| chess.ROOK: 5, |
| chess.QUEEN: 9, |
| } |
|
|
|
|
| class NonSeekableReader(io.RawIOBase): |
| """Adapt tarfile's streaming member object for TextIOWrapper on Python 3.14.""" |
|
|
| def __init__(self, source: object) -> None: |
| self.source = source |
|
|
| def readable(self) -> bool: |
| return True |
|
|
| def seekable(self) -> bool: |
| return False |
|
|
| def readinto(self, buffer: bytearray) -> int: |
| chunk = self.source.read(len(buffer)) |
| if not chunk: |
| return 0 |
| buffer[: len(chunk)] = chunk |
| return len(chunk) |
|
|
|
|
| def connect(path: Path) -> sqlite3.Connection: |
| db = sqlite3.connect(path) |
| db.execute("PRAGMA journal_mode=WAL") |
| db.execute("PRAGMA synchronous=NORMAL") |
| db.execute("PRAGMA temp_store=MEMORY") |
| db.execute("PRAGMA cache_size=-262144") |
| db.execute("PRAGMA foreign_keys=ON") |
| return db |
|
|
|
|
| def initialize(db: sqlite3.Connection) -> None: |
| db.executescript( |
| """ |
| CREATE TABLE IF NOT EXISTS metadata ( |
| key TEXT PRIMARY KEY, |
| value TEXT NOT NULL |
| ) WITHOUT ROWID; |
| |
| CREATE TABLE IF NOT EXISTS positions ( |
| id INTEGER PRIMARY KEY, |
| random_key INTEGER NOT NULL UNIQUE, |
| fen TEXT NOT NULL UNIQUE, |
| source_split TEXT NOT NULL, |
| source_member TEXT NOT NULL, |
| game_number INTEGER NOT NULL, |
| ply INTEGER NOT NULL, |
| result TEXT NOT NULL, |
| side_to_move INTEGER NOT NULL CHECK(side_to_move IN (0, 1)), |
| phase INTEGER NOT NULL CHECK(phase BETWEEN 0 AND 2), |
| piece_count INTEGER NOT NULL, |
| non_pawn_material INTEGER NOT NULL, |
| material_balance INTEGER NOT NULL, |
| legal_moves INTEGER NOT NULL, |
| in_check INTEGER NOT NULL CHECK(in_check IN (0, 1)), |
| castling_mask INTEGER NOT NULL CHECK(castling_mask BETWEEN 0 AND 15), |
| halfmove_clock INTEGER NOT NULL |
| ); |
| |
| CREATE INDEX IF NOT EXISTS positions_phase ON positions(phase); |
| CREATE INDEX IF NOT EXISTS positions_result ON positions(result); |
| CREATE INDEX IF NOT EXISTS positions_legal_moves ON positions(legal_moves); |
| CREATE INDEX IF NOT EXISTS positions_piece_count ON positions(piece_count); |
| CREATE INDEX IF NOT EXISTS positions_material_balance |
| ON positions(material_balance); |
| CREATE INDEX IF NOT EXISTS positions_split ON positions(source_split); |
| """ |
| ) |
| set_metadata(db, "format", FORMAT_VERSION) |
| set_metadata(db, "fen_fullmove_normalization", "1") |
|
|
|
|
| def set_metadata(db: sqlite3.Connection, key: str, value: object) -> None: |
| db.execute( |
| "INSERT INTO metadata(key, value) VALUES (?, ?) " |
| "ON CONFLICT(key) DO UPDATE SET value=excluded.value", |
| (key, str(value)), |
| ) |
|
|
|
|
| def normalized_fen(board: chess.Board) -> str: |
| fields = board.fen(en_passant="fen").split() |
| fields[5] = "1" |
| return " ".join(fields) |
|
|
|
|
| def phase_of(board: chess.Board, ply: int) -> int: |
| non_pawn = sum( |
| PIECE_VALUES[piece_type] |
| * ( |
| len(board.pieces(piece_type, chess.WHITE)) |
| + len(board.pieces(piece_type, chess.BLACK)) |
| ) |
| for piece_type in (chess.KNIGHT, chess.BISHOP, chess.ROOK, chess.QUEEN) |
| ) |
| piece_count = chess.popcount(board.occupied) |
| if ply <= 20 and non_pawn >= 50: |
| return PHASE_IDS["opening"] |
| if non_pawn <= 20 or piece_count <= 12: |
| return PHASE_IDS["endgame"] |
| return PHASE_IDS["middlegame"] |
|
|
|
|
| def castling_mask(board: chess.Board) -> int: |
| return ( |
| int(board.has_kingside_castling_rights(chess.WHITE)) |
| | (int(board.has_queenside_castling_rights(chess.WHITE)) << 1) |
| | (int(board.has_kingside_castling_rights(chess.BLACK)) << 2) |
| | (int(board.has_queenside_castling_rights(chess.BLACK)) << 3) |
| ) |
|
|
|
|
| def material(board: chess.Board) -> tuple[int, int]: |
| white = sum( |
| PIECE_VALUES[piece_type] * len(board.pieces(piece_type, chess.WHITE)) |
| for piece_type in PIECE_VALUES |
| ) |
| black = sum( |
| PIECE_VALUES[piece_type] * len(board.pieces(piece_type, chess.BLACK)) |
| for piece_type in PIECE_VALUES |
| ) |
| non_pawn = sum( |
| PIECE_VALUES[piece_type] |
| * ( |
| len(board.pieces(piece_type, chess.WHITE)) |
| + len(board.pieces(piece_type, chess.BLACK)) |
| ) |
| for piece_type in (chess.KNIGHT, chess.BISHOP, chess.ROOK, chess.QUEEN) |
| ) |
| return white - black, non_pawn |
|
|
|
|
| def random_key(fen: str) -> int: |
| raw = hashlib.blake2b(fen.encode("ascii"), digest_size=8).digest() |
| return int.from_bytes(raw, "big") & ((1 << 63) - 1) |
|
|
|
|
| def position_record( |
| board: chess.Board, |
| source_split: str, |
| source_member: str, |
| game_number: int, |
| ply: int, |
| result: str, |
| phase: int, |
| ) -> tuple[object, ...]: |
| fen = normalized_fen(board) |
| balance, non_pawn = material(board) |
| return ( |
| random_key(fen), |
| fen, |
| source_split, |
| source_member, |
| game_number, |
| ply, |
| result, |
| int(board.turn == chess.WHITE), |
| phase, |
| chess.popcount(board.occupied), |
| non_pawn, |
| balance, |
| board.legal_moves.count(), |
| int(board.is_check()), |
| castling_mask(board), |
| board.halfmove_clock, |
| ) |
|
|
|
|
| def split_for(member_name: str) -> str: |
| lowered = member_name.lower() |
| if "test" in lowered: |
| return "test" |
| if "train" in lowered: |
| return "train" |
| return "unspecified" |
|
|
|
|
| def make_quotas(target: int) -> dict[int, int]: |
| opening = round(target * 0.15) |
| endgame = round(target * 0.25) |
| return {0: opening, 1: target - opening - endgame, 2: endgame} |
|
|
|
|
| def current_counts(db: sqlite3.Connection) -> dict[int, int]: |
| counts = {phase: 0 for phase in PHASE_NAMES} |
| counts.update(dict(db.execute("SELECT phase, COUNT(*) FROM positions GROUP BY phase"))) |
| return counts |
|
|
|
|
| def extract(args: argparse.Namespace) -> None: |
| source = Path(args.source).resolve() |
| output = Path(args.output).resolve() |
| output.parent.mkdir(parents=True, exist_ok=True) |
| db = connect(output) |
| initialize(db) |
| quotas = make_quotas(args.target) |
| counts = current_counts(db) |
| resume_row = db.execute( |
| "SELECT source_member FROM positions ORDER BY id DESC LIMIT 1" |
| ).fetchone() |
| resume_member = resume_row[0] if resume_row else None |
| games_seen = int( |
| db.execute("SELECT COALESCE(value, '0') FROM metadata WHERE key='games_seen'") |
| .fetchone()[0] |
| if db.execute("SELECT 1 FROM metadata WHERE key='games_seen'").fetchone() |
| else 0 |
| ) |
| candidates_attempted = int( |
| db.execute( |
| "SELECT COALESCE(value, '0') FROM metadata " |
| "WHERE key='candidates_attempted'" |
| ).fetchone()[0] |
| if db.execute( |
| "SELECT 1 FROM metadata WHERE key='candidates_attempted'" |
| ).fetchone() |
| else 0 |
| ) |
| parse_errors = 0 |
| inserted_since_commit = 0 |
| started = time.monotonic() |
|
|
| set_metadata(db, "source", str(source)) |
| set_metadata(db, "target_positions", args.target) |
| set_metadata(db, "seed", args.seed) |
| set_metadata(db, "phase_quotas", json.dumps(quotas, sort_keys=True)) |
| db.commit() |
|
|
| insert_sql = """ |
| INSERT OR IGNORE INTO positions( |
| random_key, fen, source_split, source_member, game_number, ply, |
| result, side_to_move, phase, piece_count, non_pawn_material, |
| material_balance, legal_moves, in_check, castling_mask, halfmove_clock |
| ) VALUES (?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?) |
| """ |
|
|
| with tarfile.open(source, mode="r|bz2") as archive: |
| corpus_game_number = 0 |
| finished = False |
| reached_resume_member = resume_member is None |
| for member in archive: |
| if finished: |
| break |
| if not member.isfile() or not member.name.lower().endswith(".pgn"): |
| continue |
| if not reached_resume_member: |
| if member.name != resume_member: |
| continue |
| reached_resume_member = True |
| raw = archive.extractfile(member) |
| if raw is None: |
| continue |
| split = split_for(member.name) |
| buffered = io.BufferedReader(NonSeekableReader(raw)) |
| with io.TextIOWrapper(buffered, encoding="utf-8", errors="replace") as pgn: |
| member_game_number = 0 |
| while True: |
| try: |
| game = chess.pgn.read_game(pgn) |
| except Exception as exc: |
| parse_errors += 1 |
| print(f"PGN parse error in {member.name}: {exc}", file=sys.stderr) |
| continue |
| if game is None: |
| break |
| corpus_game_number += 1 |
| member_game_number += 1 |
| games_seen += 1 |
| board = game.board() |
| result = game.headers.get("Result", "*") |
| reservoirs: dict[int, tuple[chess.Board, int]] = {} |
| phase_seen = {phase: 0 for phase in PHASE_NAMES} |
| game_seed = int.from_bytes( |
| hashlib.blake2b( |
| f"{args.seed}:{member.name}:{member_game_number}".encode(), |
| digest_size=8, |
| ).digest(), |
| "big", |
| ) |
| game_rng = random.Random(game_seed) |
|
|
| try: |
| for ply, move in enumerate(game.mainline_moves(), start=1): |
| board.push(move) |
| phase = phase_of(board, ply) |
| if counts[phase] >= quotas[phase]: |
| continue |
| phase_seen[phase] += 1 |
| if game_rng.randrange(phase_seen[phase]) == 0: |
| reservoirs[phase] = (board.copy(stack=False), ply) |
| except Exception: |
| parse_errors += 1 |
| continue |
|
|
| for phase, (candidate, ply) in reservoirs.items(): |
| if counts[phase] >= quotas[phase]: |
| continue |
| candidates_attempted += 1 |
| cursor = db.execute( |
| insert_sql, |
| position_record( |
| candidate, |
| split, |
| member.name, |
| corpus_game_number, |
| ply, |
| result, |
| phase, |
| ), |
| ) |
| if cursor.rowcount: |
| counts[phase] += 1 |
| inserted_since_commit += 1 |
|
|
| if inserted_since_commit >= args.commit_every: |
| set_metadata(db, "games_seen", games_seen) |
| set_metadata(db, "candidates_attempted", candidates_attempted) |
| set_metadata(db, "parse_errors", parse_errors) |
| db.commit() |
| inserted_since_commit = 0 |
|
|
| if games_seen % args.progress_every == 0: |
| elapsed = max(time.monotonic() - started, 0.001) |
| total = sum(counts.values()) |
| print( |
| f"games={games_seen:,} positions={total:,}/{args.target:,} " |
| f"opening={counts[0]:,} middle={counts[1]:,} " |
| f"endgame={counts[2]:,} rate={total / elapsed:,.0f} pos/s", |
| flush=True, |
| ) |
|
|
| if all(counts[p] >= quotas[p] for p in quotas): |
| finished = True |
| break |
|
|
| set_metadata(db, "games_seen", games_seen) |
| set_metadata(db, "candidates_attempted", candidates_attempted) |
| set_metadata(db, "parse_errors", parse_errors) |
| set_metadata(db, "completed_unix", int(time.time())) |
| set_metadata(db, "position_count", sum(counts.values())) |
| db.commit() |
| db.execute("PRAGMA optimize") |
| db.execute("PRAGMA wal_checkpoint(TRUNCATE)") |
| db.close() |
| print(json.dumps(analyze_database(output), indent=2, sort_keys=True)) |
|
|
|
|
| def grouped(db: sqlite3.Connection, column: str) -> dict[str, int]: |
| return { |
| str(key): count |
| for key, count in db.execute( |
| f"SELECT {column}, COUNT(*) FROM positions GROUP BY {column}" |
| ) |
| } |
|
|
|
|
| def quantile(db: sqlite3.Connection, column: str, q: float, total: int) -> int: |
| offset = max(0, min(total - 1, round((total - 1) * q))) |
| return db.execute( |
| f"SELECT {column} FROM positions ORDER BY {column} LIMIT 1 OFFSET ?", |
| (offset,), |
| ).fetchone()[0] |
|
|
|
|
| def numeric_stats(db: sqlite3.Connection, column: str, total: int) -> dict[str, float]: |
| mean, mean_square, minimum, maximum = db.execute( |
| f"SELECT AVG({column}), AVG({column} * {column}), " |
| f"MIN({column}), MAX({column}) FROM positions" |
| ).fetchone() |
| variance = max(0.0, mean_square - mean * mean) |
| return { |
| "min": minimum, |
| "p10": quantile(db, column, 0.10, total), |
| "median": quantile(db, column, 0.50, total), |
| "p90": quantile(db, column, 0.90, total), |
| "max": maximum, |
| "mean": round(mean, 4), |
| "stdev": round(math.sqrt(variance), 4), |
| } |
|
|
|
|
| def normalized_entropy(counts: list[int]) -> float: |
| total = sum(counts) |
| probabilities = [count / total for count in counts if count] |
| entropy = -sum(value * math.log(value) for value in probabilities) |
| return entropy / math.log(len(counts)) |
|
|
|
|
| def analyze_database(path: Path) -> dict[str, object]: |
| db = sqlite3.connect(f"file:{path}?mode=ro&immutable=1", uri=True) |
| total = db.execute("SELECT COUNT(*) FROM positions").fetchone()[0] |
| if total == 0: |
| raise RuntimeError("dataset is empty") |
| phases_raw = grouped(db, "phase") |
| phases = {PHASE_NAMES[int(key)]: value for key, value in phases_raw.items()} |
| results = grouped(db, "result") |
| sides = grouped(db, "side_to_move") |
| splits = grouped(db, "source_split") |
| legal = numeric_stats(db, "legal_moves", total) |
| pieces = numeric_stats(db, "piece_count", total) |
| balance = numeric_stats(db, "material_balance", total) |
| no_castling = db.execute( |
| "SELECT COUNT(*) FROM positions WHERE castling_mask=0" |
| ).fetchone()[0] |
| with_castling = total - no_castling |
| checks = db.execute("SELECT COUNT(*) FROM positions WHERE in_check=1").fetchone()[0] |
| imbalanced = db.execute( |
| "SELECT COUNT(*) FROM positions WHERE ABS(material_balance)>=3" |
| ).fetchone()[0] |
| min_phase_share = min(phases.values()) / total |
| known_results = [results.get(key, 0) for key in ("1-0", "1/2-1/2", "0-1")] |
| min_result_share = min(known_results) / max(1, sum(known_results)) |
| white_share = int(sides.get("1", 0)) / total |
|
|
| checks_map = { |
| "at_least_1_5m_positions": total >= 1_500_000, |
| "phase_min_share_at_least_15pct": min_phase_share >= 0.15, |
| "phase_entropy_at_least_0_85": normalized_entropy(list(phases.values())) >= 0.85, |
| "result_min_share_at_least_20pct": min_result_share >= 0.20, |
| "side_to_move_between_47_and_53pct_white": 0.47 <= white_share <= 0.53, |
| "legal_move_stdev_at_least_8": legal["stdev"] >= 8, |
| "legal_move_p10_at_most_22": legal["p10"] <= 22, |
| "legal_move_p90_at_least_38": legal["p90"] >= 38, |
| "piece_count_stdev_at_least_5": pieces["stdev"] >= 5, |
| "material_imbalance_at_least_15pct": imbalanced / total >= 0.15, |
| "both_castling_states_at_least_10pct": min(no_castling, with_castling) / total |
| >= 0.10, |
| "checks_at_least_1pct": checks / total >= 0.01, |
| } |
| metadata = dict(db.execute("SELECT key, value FROM metadata")) |
| report = { |
| "format": metadata.get("format"), |
| "database": str(path), |
| "positions": total, |
| "database_bytes": path.stat().st_size, |
| "distributions": { |
| "phase": phases, |
| "result": results, |
| "side_to_move": {"black": sides.get("0", 0), "white": sides.get("1", 0)}, |
| "source_split": splits, |
| "with_castling_rights": with_castling, |
| "without_castling_rights": no_castling, |
| "in_check": checks, |
| "material_imbalance_abs_ge_3": imbalanced, |
| }, |
| "numeric": { |
| "legal_moves": legal, |
| "piece_count": pieces, |
| "material_balance_white_minus_black": balance, |
| }, |
| "normalized_phase_entropy": round( |
| normalized_entropy(list(phases.values())), 6 |
| ), |
| "thresholds": checks_map, |
| "high_variance": all(checks_map.values()), |
| "metadata": metadata, |
| } |
| db.close() |
| return report |
|
|
|
|
| def analyze(args: argparse.Namespace) -> None: |
| report = analyze_database(Path(args.database).resolve()) |
| rendered = json.dumps(report, indent=2, sort_keys=True) |
| print(rendered) |
| if args.report: |
| Path(args.report).write_text(rendered + "\n", encoding="utf-8") |
|
|
|
|
| def sample(args: argparse.Namespace) -> None: |
| path = Path(args.database).resolve() |
| db = sqlite3.connect(f"file:{path}?mode=ro&immutable=1", uri=True) |
| if args.id is not None: |
| row = db.execute( |
| "SELECT id, fen, phase, result FROM positions WHERE id=?", (args.id,) |
| ).fetchone() |
| else: |
| key = random.SystemRandom().randrange(1 << 63) |
| row = db.execute( |
| "SELECT id, fen, phase, result FROM positions " |
| "WHERE random_key>=? ORDER BY random_key LIMIT 1", |
| (key,), |
| ).fetchone() |
| if row is None: |
| row = db.execute( |
| "SELECT id, fen, phase, result FROM positions ORDER BY random_key LIMIT 1" |
| ).fetchone() |
| db.close() |
| if row is None: |
| raise RuntimeError("position not found") |
| print( |
| json.dumps( |
| {"id": row[0], "fen": row[1], "phase": PHASE_NAMES[row[2]], "result": row[3]}, |
| separators=(",", ":"), |
| ) |
| ) |
|
|
|
|
| def parser() -> argparse.ArgumentParser: |
| root = argparse.ArgumentParser(description=__doc__) |
| commands = root.add_subparsers(dest="command", required=True) |
|
|
| extract_cmd = commands.add_parser("extract", help="stream PGNs into VPD1") |
| extract_cmd.add_argument("--source", required=True) |
| extract_cmd.add_argument("--output", required=True) |
| extract_cmd.add_argument("--target", type=int, default=DEFAULT_TARGET) |
| extract_cmd.add_argument("--seed", type=int, default=91) |
| extract_cmd.add_argument("--commit-every", type=int, default=10_000) |
| extract_cmd.add_argument("--progress-every", type=int, default=10_000) |
| extract_cmd.set_defaults(func=extract) |
|
|
| analyze_cmd = commands.add_parser("analyze", help="calculate variance") |
| analyze_cmd.add_argument("database") |
| analyze_cmd.add_argument("--report") |
| analyze_cmd.set_defaults(func=analyze) |
|
|
| sample_cmd = commands.add_parser("sample", help="return one board immediately") |
| sample_cmd.add_argument("database") |
| sample_cmd.add_argument("--id", type=int) |
| sample_cmd.set_defaults(func=sample) |
| return root |
|
|
|
|
| if __name__ == "__main__": |
| arguments = parser().parse_args() |
| arguments.func(arguments) |
|
|