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Publish WeightProgramBench: 317 training games and 5 held-out MinAtar tasks
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from dataclasses import dataclass
import math
import numpy as np
HORIZON = 400
FRAMES_PER_STEP = 4
DIRECTIONS = ((0, -1), (-1, 0), (1, 0), (0, 1))
@dataclass(eq=False)
class Node:
x: float
y: float
vx: float = 0
vy: float = 0
anchored: bool = True
tethered: bool = False
@dataclass
class Link:
a: Node
b: Node
length: float
def near(self, x: float, y: float) -> bool:
dx, dy = self.b.x - self.a.x, self.b.y - self.a.y
px, py = x - self.a.x, y - self.a.y
squared = dx * dx + dy * dy
fraction = min(1, max(0, (px * dx + py * dy) / squared)) if squared else 0
return math.hypot(px - fraction * dx, py - fraction * dy) <= 5
class CNodesEnvironment:
score_cap = 500
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.multiplier = 1
self.next_node = self.boost = 0.0
self.cursor = (3, 5)
self.terminal = False
self.nodes: list[Node] = []
self.links: list[Link] = []
@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
if 1 <= action <= 4:
dy, dx = DIRECTIONS[action - 1]
row, col = self.cursor
self.cursor = min(9, max(2, row + dy)), min(9, max(0, col + dx))
if action == 5 and self.last_action != 5:
row, col = self.cursor
self.links = [link for link in self.links if not link.near(col * 10 + 5, row * 10 + 5)]
self.multiplier = 1
self.boost = 1
self.last_action = action
self.steps += 1
reward = 0
for _ in range(FRAMES_PER_STEP):
reward += self._advance_frame()
if self.terminal:
break
self.terminal |= self.steps >= self.horizon
return float(reward), self.terminal
def _advance_frame(self) -> int:
lowest = max((node.y for node in self.nodes), default=0)
scroll = 0.03 + self.boost + max(0, 29 - lowest) * 0.1
self.boost *= 0.7
self.next_node -= scroll
if self.next_node < 0:
new = Node(self.random.uniform(10, 90), 0)
for node in self.nodes:
if node.anchored and abs(new.x - node.x) / 2 + abs(node.y) < 30 and self.random.random() < 0.7:
self.links.append(Link(new, node, math.hypot(new.x - node.x, node.y)))
self.nodes.append(new)
self.next_node = 4
for link in self.links:
dx, dy = link.b.x - link.a.x, link.b.y - link.a.y
distance = math.hypot(dx, dy)
if distance:
force = (distance - link.length) * 0.02 / distance
link.a.vx += force * dx
link.a.vy += force * dy
link.b.vx -= force * dx
link.b.vy -= force * dy
for node in self.nodes:
node.y += scroll
node.anchored &= node.y <= 20
if node.anchored:
node.vx = node.vy = 0
else:
node.x += node.vx
node.y += node.vy
node.vx *= 0.95
node.vy = (node.vy + 0.03) * 0.95
self.links = [link for link in self.links if min(link.a.y, link.b.y) <= 100]
self._update_tethers()
reward = 0
survivors = []
for node in self.nodes:
if node.tethered and node.y > 100:
self.terminal = True
if node.y > 140:
reward += self.multiplier
self.multiplier = min(64, self.multiplier * 2)
else:
survivors.append(node)
self.nodes = survivors
alive = set(survivors)
self.links = [link for link in self.links if link.a in alive and link.b in alive]
return reward
def _update_tethers(self) -> None:
connected = {node: [] for node in self.nodes}
for link in self.links:
connected[link.a].append(link.b)
connected[link.b].append(link.a)
pending = [node for node in self.nodes if node.anchored]
reached = set(pending)
while pending:
for neighbor in connected[pending.pop()]:
if neighbor not in reached:
reached.add(neighbor)
pending.append(neighbor)
for node in self.nodes:
node.tethered = node in reached and not node.anchored
def state(self) -> np.ndarray:
state = np.zeros((10, 10, 6), dtype=bool)
for node in self.nodes:
if 0 <= node.x < 100 and 0 <= node.y < 100:
channel = 0 if node.anchored else 1 if node.tethered else 2
state[int(node.y) // 10, int(node.x) // 10, channel] = True
for link in self.links:
for fraction in np.linspace(0, 1, 12):
x = link.a.x + (link.b.x - link.a.x) * fraction
y = link.a.y + (link.b.y - link.a.y) * fraction
if 0 <= x < 100 and 0 <= y < 100:
state[int(y) // 10, int(x) // 10, 3] = True
row, col = self.cursor
state[row, col, 4] = True
for row, value in enumerate((self.steps, self.multiplier, self.last_action)):
for bit in range(9):
state[row, bit, 5] = bool(value & (1 << bit))
return state