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| #!/usr/bin/env python3 | |
| """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: # Keep streaming past isolated bad games. | |
| 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) | |