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Publish WeightProgramBench: 317 training games and 5 held-out MinAtar tasks
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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