from dataclasses import dataclass from math import hypot import numpy as np HORIZON = 400 BONUS_INTERVAL = 8 BALLOON_INTERVAL = 28 MAX_BONUSES = (HORIZON + BONUS_INTERVAL - 1) // BONUS_INTERVAL MOVES = {1: (0, -1), 2: (-1, 0), 3: (0, 1), 4: (1, 0)} @dataclass class Balloon: row: float column: float drift: float rise: float = -0.24 radius: float = 1.8 @dataclass class Bonus: row: float column: float balloon: Balloon | None = None class BalloonEnvironment: score_cap = MAX_BONUSES * (MAX_BONUSES + 1) // 2 def __init__(self, sticky_action_prob: float = 0.1, horizon: int = HORIZON): self.sticky_action_prob = sticky_action_prob self.horizon = min(horizon, HORIZON) self.seed(0) self.reset() def seed(self, seed: int) -> None: self.random = np.random.default_rng(seed) def reset(self) -> None: self.steps = self.last_action = 0 self.cursor = (5, 5) self.wind = (0.0, 0.0) self.balloons: list[Balloon] = [] self.bonuses: list[Bonus] = [] self.terminal = False @classmethod def normalize_score(cls, score: float) -> float: return min(max(score, 0), cls.score_cap) / cls.score_cap def act(self, action: int) -> tuple[float, bool]: if self.terminal: return 0.0, True if self.random.random() < self.sticky_action_prob: action = self.last_action self.last_action = action self.steps += 1 row, column = self.cursor dr, dc = MOVES.get(action, (0, 0)) self.cursor = max(0, min(9, row + dr)), max(0, min(9, column + dc)) self.wind = (0.5 * self.wind[0] + 0.25 * (self.cursor[0] - row), 0.5 * self.wind[1] + 0.25 * (self.cursor[1] - column)) if self.steps % BALLOON_INTERVAL == 1: self.balloons.append(Balloon(9.5, float(self.random.uniform(2, 7)), float(self.random.uniform(-0.12, 0.12)))) if self.steps % BONUS_INTERVAL == 1: self.bonuses.append(Bonus(0.0, float(self.random.uniform(1, 8)))) for balloon in self.balloons: if hypot(balloon.row - self.cursor[0], balloon.column - self.cursor[1]) < balloon.radius: balloon.rise += self.wind[0] balloon.drift += self.wind[1] balloon.row += balloon.rise balloon.column += balloon.drift if not balloon.radius <= balloon.column <= 9 - balloon.radius: balloon.column = max(balloon.radius, min(9 - balloon.radius, balloon.column)) balloon.drift *= -0.7 if balloon.row > 10 - balloon.radius and balloon.rise > 0: balloon.rise *= -0.7 balloon.drift *= 0.9 balloon.rise += 0.15 * (-0.24 - balloon.rise) balloon.radius -= 0.015 * hypot(balloon.drift, balloon.rise) self.balloons = [balloon for balloon in self.balloons if balloon.row >= balloon.radius and balloon.radius >= 0.8] alive = {id(balloon) for balloon in self.balloons} collected = 0 remaining = [] for bonus in self.bonuses: if bonus.balloon is None: bonus.row += 0.22 for balloon in self.balloons: if hypot(balloon.row - bonus.row, balloon.column - bonus.column) < 1.3 * balloon.radius: bonus.balloon = balloon break if bonus.balloon is None and bonus.row >= 10: self.terminal = True if bonus.balloon is not None: if id(bonus.balloon) not in alive: collected += 1 continue bonus.row, bonus.column = bonus.balloon.row, bonus.balloon.column remaining.append(bonus) self.bonuses = remaining self.terminal |= self.steps >= self.horizon return float(collected * (collected + 1) // 2), self.terminal def state(self) -> np.ndarray: state = np.zeros((10, 10, 6), dtype=bool) state[*self.cursor, 0] = True rows, columns = np.ogrid[:10, :10] for balloon in self.balloons: state[:, :, 1] |= (rows - balloon.row) ** 2 + (columns - balloon.column) ** 2 <= balloon.radius ** 2 state[max(0, min(9, round(balloon.row + balloon.rise))), max(0, min(9, round(balloon.column + balloon.drift))), 4] = True for bonus in self.bonuses: state[max(0, min(9, round(bonus.row))), round(bonus.column), 3 if bonus.balloon else 2] = True values = (self.steps, round(self.wind[0] * 64) + 32, round(self.wind[1] * 64) + 32, self.last_action) for row, value in enumerate(values): for bit in range(9): state[row, bit, 5] = bool(value & (1 << bit)) return state