feat: add layout_optimizer package for automatic layout of devices

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
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yexiaozhou
2026-03-31 01:00:09 +08:00
parent 3f75ca4ea3
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"""约束体系:硬约束 / 软约束定义与统一评估。
硬约束违反 → cost = inf方案直接淘汰
软约束违反 → 加权 penalty 累加到 cost
"""
from __future__ import annotations
import math
from typing import TYPE_CHECKING
from .models import Constraint, Device, Lab, Placement
from .obb import (
nearest_point_on_obb,
obb_corners,
obb_min_distance,
obb_penetration_depth,
segment_intersects_obb,
)
if TYPE_CHECKING:
from .interfaces import CollisionChecker, ReachabilityChecker
def evaluate_constraints(
devices: list[Device],
placements: list[Placement],
lab: Lab,
constraints: list[Constraint],
collision_checker: CollisionChecker,
reachability_checker: ReachabilityChecker | None = None,
) -> float:
"""统一评估所有约束,返回总 cost。
Args:
devices: 设备列表(与 placements 一一对应)
placements: 当前布局方案
lab: 实验室平面图
constraints: 约束规则列表
collision_checker: 碰撞检测实例
reachability_checker: 可达性检测实例(可选)
Returns:
总 cost。硬约束违反返回 inf否则为软约束 penalty 之和。
"""
device_map = {d.id: d for d in devices}
placement_map = {p.device_id: p for p in placements}
total_cost = 0.0
for c in constraints:
cost = _evaluate_single(
c, device_map, placement_map, lab, collision_checker, reachability_checker
)
if math.isinf(cost):
return math.inf
total_cost += cost
return total_cost
def evaluate_default_hard_constraints(
devices: list[Device],
placements: list[Placement],
lab: Lab,
collision_checker: CollisionChecker,
*,
graduated: bool = True,
collision_weight: float = 1000.0,
boundary_weight: float = 1000.0,
) -> float:
"""评估默认硬约束(碰撞 + 边界),无需显式声明约束列表。
始终生效,用于 cost function 的基础检查。
When graduated=True (default), returns a penalty proportional to the
severity of each violation instead of binary inf. This gives DE a
smooth gradient so it can fix specific collision pairs instead of
discarding near-optimal layouts entirely.
When graduated=False, uses the legacy binary inf behaviour.
"""
if not graduated:
return _evaluate_hard_binary(devices, placements, lab, collision_checker)
device_map = {d.id: d for d in devices}
cost = 0.0
# Graduated collision penalty: sum of penetration depths
n = len(placements)
for i in range(n):
for j in range(i + 1, n):
di, dj = device_map[placements[i].device_id], device_map[placements[j].device_id]
ci = obb_corners(placements[i].x, placements[i].y,
di.bbox[0], di.bbox[1], placements[i].theta)
cj = obb_corners(placements[j].x, placements[j].y,
dj.bbox[0], dj.bbox[1], placements[j].theta)
depth = obb_penetration_depth(ci, cj)
if depth > 0:
cost += collision_weight * depth
# Graduated boundary penalty: sum of overshoot distances (rotation-aware)
for p in placements:
dev = device_map[p.device_id]
hw, hd = p.rotated_bbox(dev)
# How far each edge exceeds the lab boundary
overshoot = 0.0
overshoot += max(0.0, hw - p.x) # left wall
overshoot += max(0.0, (p.x + hw) - lab.width) # right wall
overshoot += max(0.0, hd - p.y) # bottom wall
overshoot += max(0.0, (p.y + hd) - lab.depth) # top wall
cost += boundary_weight * overshoot
return cost
def _evaluate_hard_binary(
devices: list[Device],
placements: list[Placement],
lab: Lab,
collision_checker: CollisionChecker,
) -> float:
"""Legacy binary hard-constraint evaluation (inf or 0)."""
checker_placements = _to_checker_format(devices, placements)
collisions = collision_checker.check(checker_placements)
if collisions:
return math.inf
if hasattr(collision_checker, "check_bounds"):
oob = collision_checker.check_bounds(checker_placements, lab.width, lab.depth)
if oob:
return math.inf
return 0.0
def _evaluate_single(
constraint: Constraint,
device_map: dict[str, Device],
placement_map: dict[str, Placement],
lab: Lab,
collision_checker: CollisionChecker,
reachability_checker: ReachabilityChecker | None,
) -> float:
"""评估单条约束规则。"""
rule = constraint.rule_name
params = constraint.params
is_hard = constraint.type == "hard"
if rule == "no_collision":
checker_placements = _to_checker_format_from_maps(device_map, placement_map)
collisions = collision_checker.check(checker_placements)
if collisions:
return math.inf if is_hard else constraint.weight * len(collisions)
return 0.0
if rule == "within_bounds":
checker_placements = _to_checker_format_from_maps(device_map, placement_map)
if hasattr(collision_checker, "check_bounds"):
oob = collision_checker.check_bounds(
checker_placements, lab.width, lab.depth
)
if oob:
return math.inf if is_hard else constraint.weight * len(oob)
return 0.0
if rule == "distance_less_than":
a_id, b_id = params["device_a"], params["device_b"]
max_dist = params["distance"]
da, db = device_map.get(a_id), device_map.get(b_id)
pa, pb = placement_map.get(a_id), placement_map.get(b_id)
if pa is None or pb is None:
return 0.0
if da and db:
dist = _device_distance_obb(da, pa, db, pb)
else:
dist = _device_distance_center(pa, pb) or 0.0
if dist > max_dist:
return math.inf if is_hard else constraint.weight * (dist - max_dist)
return 0.0
if rule == "distance_greater_than":
a_id, b_id = params["device_a"], params["device_b"]
min_dist = params["distance"]
da, db = device_map.get(a_id), device_map.get(b_id)
pa, pb = placement_map.get(a_id), placement_map.get(b_id)
if pa is None or pb is None:
return 0.0
if da and db:
dist = _device_distance_obb(da, pa, db, pb)
else:
dist = _device_distance_center(pa, pb) or 0.0
if dist < min_dist:
return math.inf if is_hard else constraint.weight * (min_dist - dist)
return 0.0
if rule == "minimize_distance":
a_id, b_id = params["device_a"], params["device_b"]
da, db = device_map.get(a_id), device_map.get(b_id)
pa, pb = placement_map.get(a_id), placement_map.get(b_id)
if pa is None or pb is None:
return 0.0
if da and db:
dist = _device_distance_obb(da, pa, db, pb)
else:
dist = _device_distance_center(pa, pb) or 0.0
return constraint.weight * dist
if rule == "maximize_distance":
a_id, b_id = params["device_a"], params["device_b"]
da, db = device_map.get(a_id), device_map.get(b_id)
pa, pb = placement_map.get(a_id), placement_map.get(b_id)
if pa is None or pb is None:
return 0.0
if da and db:
dist = _device_distance_obb(da, pa, db, pb)
else:
dist = _device_distance_center(pa, pb) or 0.0
max_possible = math.sqrt(lab.width**2 + lab.depth**2)
return constraint.weight * (max_possible - dist)
if rule == "min_spacing":
min_gap = params.get("min_gap", 0.0)
all_placements = list(placement_map.values())
for i in range(len(all_placements)):
for j in range(i + 1, len(all_placements)):
pi, pj = all_placements[i], all_placements[j]
di = device_map.get(pi.device_id)
dj = device_map.get(pj.device_id)
if di and dj:
dist = _device_distance_obb(di, pi, dj, pj)
else:
dist = _device_distance_center(pi, pj) or 0.0
if dist < min_gap:
if is_hard:
return math.inf
return constraint.weight * (min_gap - dist)
return 0.0
if rule == "reachability":
if reachability_checker is None:
return 0.0
arm_id = params["arm_id"]
target_device_id = params["target_device_id"]
arm_p = placement_map.get(arm_id)
target_p = placement_map.get(target_device_id)
if arm_p is None or target_p is None:
return 0.0
arm_dev = device_map.get(arm_id)
target_dev = device_map.get(target_device_id)
# Distance from target's opening surface center to nearest point on arm OBB.
# This naturally enforces orientation: a device facing away has its opening
# far from the arm, so it fails reachability without needing a separate
# facing penalty.
if arm_dev and target_dev:
opening_pt = _opening_surface_center(target_dev, target_p)
arm_corners = obb_corners(
arm_p.x, arm_p.y, arm_dev.bbox[0], arm_dev.bbox[1], arm_p.theta,
)
nearest = nearest_point_on_obb(opening_pt[0], opening_pt[1], arm_corners)
dist = math.sqrt((opening_pt[0] - nearest[0])**2 + (opening_pt[1] - nearest[1])**2)
else:
dist = _device_distance_center(arm_p, target_p) or 0.0
arm_pose = {"x": arm_p.x, "y": arm_p.y, "theta": arm_p.theta}
target_point = {"x": target_p.x, "y": target_p.y, "z": 0.0}
target_point["_obb_dist"] = dist
if not reachability_checker.is_reachable(arm_id, arm_pose, target_point):
if is_hard:
return math.inf
# Graduated: penalty proportional to overshoot
max_reach = reachability_checker.arm_reach.get(arm_id, 2.0)
overshoot = max(0.0, dist - max_reach)
return constraint.weight * overshoot * 10.0
# Line-of-sight penalty: penalize if any other device OBB blocks
# the path from opening to arm
los_cost = _line_of_sight_penalty(
arm_id, arm_p, target_device_id, target_p,
device_map, placement_map, constraint.weight,
)
return los_cost
if rule == "prefer_aligned":
alignment_cost = sum(
(1 - math.cos(4 * p.theta)) / 2 for p in placement_map.values()
)
if is_hard:
return math.inf if alignment_cost > 1e-6 else 0.0
return constraint.weight * alignment_cost
if rule == "prefer_seeder_orientation":
target_thetas = params.get("target_thetas", {})
cost = 0.0
for dev_id, target in target_thetas.items():
p = placement_map.get(dev_id)
if p is None:
continue
# Circular distance: (1 - cos(diff)) / 2 gives 0..1 range
diff = p.theta - target
cost += (1 - math.cos(diff)) / 2
return constraint.weight * cost
if rule == "prefer_orientation_mode":
mode = params.get("mode", "outward")
center_x = lab.width / 2
center_y = lab.depth / 2
cost = 0.0
for dev_id, p in placement_map.items():
dev = device_map.get(dev_id)
if dev is None:
continue
target = _desired_theta(
p.x, p.y, center_x, center_y, dev, mode,
)
if target is None:
continue
diff = p.theta - target
cost += (1 - math.cos(diff)) / 2
return constraint.weight * cost
# 未知约束类型,忽略
return 0.0
def _desired_theta(
x: float, y: float,
center_x: float, center_y: float,
device: Device, mode: str,
) -> float | None:
"""Compute desired theta for outward/inward facing at the given position."""
dx = x - center_x
dy = y - center_y
if abs(dx) < 1e-9 and abs(dy) < 1e-9:
return None # At center, no preferred direction
angle_to_device = math.atan2(dy, dx)
front = device.openings[0].direction if device.openings else (0.0, -1.0)
front_angle = math.atan2(front[1], front[0])
if mode == "outward":
target = angle_to_device
elif mode == "inward":
target = angle_to_device + math.pi
else:
return None
return (target - front_angle) % (2 * math.pi)
def _device_distance_center(a: Placement | None, b: Placement | None) -> float | None:
"""计算两设备中心的欧几里得距离(后备方法)。"""
if a is None or b is None:
return None
return math.sqrt((a.x - b.x) ** 2 + (a.y - b.y) ** 2)
def _device_distance_obb(
device_a: Device, placement_a: Placement,
device_b: Device, placement_b: Placement,
) -> float:
"""Minimum edge-to-edge distance between two devices using OBB."""
corners_a = obb_corners(
placement_a.x, placement_a.y,
device_a.bbox[0], device_a.bbox[1],
placement_a.theta,
)
corners_b = obb_corners(
placement_b.x, placement_b.y,
device_b.bbox[0], device_b.bbox[1],
placement_b.theta,
)
return obb_min_distance(corners_a, corners_b)
def _to_checker_format(
devices: list[Device], placements: list[Placement]
) -> list[dict]:
"""转换为 CollisionChecker.check() 接受的格式。"""
device_map = {d.id: d for d in devices}
result = []
for p in placements:
dev = device_map.get(p.device_id)
if dev is None:
continue
result.append({"id": p.device_id, "bbox": dev.bbox, "pos": (p.x, p.y, p.theta)})
return result
def _to_checker_format_from_maps(
device_map: dict[str, Device], placement_map: dict[str, Placement]
) -> list[dict]:
"""从 map 转换为 CollisionChecker.check() 接受的格式。"""
result = []
for dev_id, p in placement_map.items():
dev = device_map.get(dev_id)
if dev is None:
continue
result.append({"id": dev_id, "bbox": dev.bbox, "pos": (p.x, p.y, p.theta)})
return result
def _opening_surface_center(
device: Device, placement: Placement,
) -> tuple[float, float]:
"""Return the world-space center of the device's opening surface.
Computes where the opening direction intersects the device's bbox boundary,
then transforms to world coordinates. For a device facing away from the arm,
this point is on the far side — making the distance to the arm larger,
which naturally penalizes wrong orientation.
"""
front = device.openings[0].direction if device.openings else (0.0, -1.0)
dx, dy = front
w, h = device.bbox
# Scale factor to reach bbox edge in the opening direction
scales = []
if abs(dx) > 1e-9:
scales.append((w / 2) / abs(dx))
if abs(dy) > 1e-9:
scales.append((h / 2) / abs(dy))
scale = min(scales) if scales else 0.0
# Opening center in local frame
local_x = dx * scale
local_y = dy * scale
# Rotate to world frame and translate
cos_t = math.cos(placement.theta)
sin_t = math.sin(placement.theta)
world_x = placement.x + local_x * cos_t - local_y * sin_t
world_y = placement.y + local_x * sin_t + local_y * cos_t
return (world_x, world_y)
def _line_of_sight_penalty(
arm_id: str,
arm_p: Placement,
target_id: str,
target_p: Placement,
device_map: dict[str, Device],
placement_map: dict[str, Placement],
weight: float,
) -> float:
"""Penalty for other devices blocking the line from target to arm center.
For each other device whose OBB intersects the segment (target_center → arm_center),
adds a penalty proportional to the weight. This encourages layouts where
the arm has a clear path to each target.
"""
p1 = (target_p.x, target_p.y)
p2 = (arm_p.x, arm_p.y)
cost = 0.0
for dev_id, p in placement_map.items():
if dev_id == arm_id or dev_id == target_id:
continue
dev = device_map.get(dev_id)
if dev is None:
continue
corners = obb_corners(p.x, p.y, dev.bbox[0], dev.bbox[1], p.theta)
if segment_intersects_obb(p1, p2, corners):
cost += weight * 2.0 # penalty per blocking device
return cost