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Publish WeightProgramBench: 317 training games and 5 held-out MinAtar tasks
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from collections import deque
from dataclasses import dataclass
import math
import numpy as np
HORIZON = 400
FRAMES_PER_STEP = 4
HEADINGS = ((1, 0), (0, 1), (-1, 0), (0, -1))
@dataclass
class Segment:
x: float
y: float
dx: float
dy: float
born: int
def overlaps(self, x: float, y: float) -> bool:
if abs(x - self.x) > abs(self.dx) + 3 or abs(y - self.y) > abs(self.dy) + 3:
return False
length_squared = self.dx**2 + self.dy**2
fraction = ((x - self.x) * self.dx + (y - self.y) * self.dy) / length_squared
fraction = min(1, max(0, fraction))
return math.hypot(x - self.x - fraction * self.dx, y - self.y - fraction * self.dy) < 3
class ChalkboardEnvironment:
score_cap = HORIZON * FRAMES_PER_STEP * 3 // 10
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.frame = self.heading = self.streak = 0
self.turn_timer = 120
self.pressed = self.terminal = False
self.x = self.y = self.score_carry = 0.0
self.write_x = self.write_y = 0.0
self.energy = 60.0
self.segments = deque(
(Segment(70, y, 0, 10, -4) for y in range(-40, 40, 10)),
maxlen=1000,
)
@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
pressed = self.pressed if self.random.random() < self.sticky_action_prob else action == 5
changed = pressed != self.pressed
self.pressed = pressed
if changed:
self.streak = 0
self.steps += 1
reward = 0
for frame in range(FRAMES_PER_STEP):
reward += self._advance_frame(changed and frame == 0)
if self.terminal:
break
self.terminal |= self.steps >= self.horizon
return float(reward), self.terminal
def _advance_frame(self, changed: bool) -> int:
self.frame += 1
self.turn_timer -= 1
if not self.turn_timer:
self.heading = (self.heading + 1) % 4
self.turn_timer = int(self.random.integers(30, 150))
dx, dy = HEADINGS[self.heading]
self.x += 0.9 * dx
self.y += 0.9 * dy
self.streak = min(120, self.streak + 1)
amount = 0.3 * (self.streak / 120)**1.5
reward = 0
if self.pressed:
if changed:
self.write_x, self.write_y = self.x, self.y
if any(self.frame - line.born >= 4 and line.overlaps(self.x, self.y) for line in self.segments):
self.energy -= 10
else:
self.energy += amount
self.score_carry += amount
reward = int(self.score_carry)
self.score_carry -= reward
dx, dy = self.x - self.write_x, self.y - self.write_y
if dx * dx + dy * dy >= 4:
self.segments.append(Segment(self.write_x, self.write_y, dx, dy, self.frame))
self.write_x, self.write_y = self.x, self.y
else:
self.energy -= amount
self.energy = min(100, max(0, self.energy))
self.terminal = self.energy <= 0
return reward
def state(self) -> np.ndarray:
state = np.zeros((10, 10, 6), dtype=bool)
state[5, 5, 0] = True
for line in self.segments:
x, y = line.x - self.x + 50, line.y - self.y + 50
if not (-12 <= x < 112 and -12 <= y < 112):
continue
channel = 2 if self.frame - line.born < 4 else 1
for fraction in (0, 0.5, 1):
px, py = x + line.dx * fraction, y + line.dy * fraction
if 0 <= px < 100 and 0 <= py < 100:
state[int(py) // 10, int(px) // 10, channel] = True
dx, dy = HEADINGS[self.heading]
state[5 + dy, 5 + dx, 3] = True
if self.turn_timer <= 30:
dx, dy = HEADINGS[(self.heading + 1) % 4]
state[5 + dy, 5 + dx, 4] = True
for row, value in enumerate((self.steps, round(self.energy), self.turn_timer, self.streak)):
for bit in range(9):
state[row, bit, 5] = bool(value & (1 << bit))
state[9, 0, 5] = self.pressed
return state