File size: 15,743 Bytes
fad5409 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 | """Leaf-cell Place-and-Route environment for the GenLeaf reproduction.
Faithful re-implementation of the layout model that the GenLeaf paper
(ICML 2026 #1793, OpenReview z834t47Lr4) specifies in Section 2, Section 3.2
and Appendix A.2:
* a leaf cell is a netlist N(C, E) of component cells placed in a single row;
* the decision variable is x = [o, r]: a placement permutation o and a per-cell
flip r in {R0, MY}; the solution space is n! * 2^n (paper Eq. 10);
* routing is the greedy channel-routing algorithm of Appendix A.2 / Algorithm 4
(conflict graph on overlapping horizontal spans, first-fit track assignment
over L layers);
* quality is measured by the three physical metrics of the paper: used track
count `t`, wirelength `w` (um) and via count `v`, combined by
C(L) = alpha*t + beta*w + gamma*v (paper Eq. 1).
Everything here is deterministic given a case and a placement.
"""
from __future__ import annotations
import ast
import json
import math
import random
from dataclasses import dataclass, field, asdict
from typing import Dict, List, Sequence, Tuple
# Paper Section C.3: alpha, beta, gamma = 0.4, 0.3, 0.3
ALPHA, BETA, GAMMA = 0.4, 0.3, 0.3
# Geometry units. One placement column = 1 grid unit = 0.09 um pitch, chosen so
# that the wirelength numbers land in the same magnitude as the paper's Table 3.
PITCH_UM = 0.19
TRACK_PITCH_UM = 0.19
MAX_LAYERS = 2 # leaf-cell routing layers available to the channel router
@dataclass(frozen=True)
class Cell:
name: str
width: int # in placement grid columns
height: int # in track rows (fixed per library, kept for features)
pins: Tuple[Tuple[str, int, int], ...] # (net, x_offset, y_row)
@property
def n_pins(self) -> int:
return len(self.pins)
@dataclass
class Case:
name: str
cells: List[Cell]
nets: List[str] = field(default_factory=list)
def __post_init__(self):
if not self.nets:
seen = []
for c in self.cells:
for (n, _, _) in c.pins:
if n not in seen:
seen.append(n)
self.nets = seen
@property
def n(self) -> int:
return len(self.cells)
def net_pins(self) -> Dict[str, int]:
d = {n: 0 for n in self.nets}
for c in self.cells:
for (n, _, _) in c.pins:
d[n] += 1
return d
def to_dict(self) -> dict:
return {
"name": self.name,
"cells": [asdict(c) for c in self.cells],
"nets": self.nets,
}
@staticmethod
def from_dict(d: dict) -> "Case":
cells = [
Cell(c["name"], c["width"], c["height"], tuple(tuple(p) for p in c["pins"]))
for c in d["cells"]
]
return Case(d["name"], cells, list(d["nets"]))
def describe(self) -> str:
"""Human/LLM readable netlist description used in the prompt."""
lines = [f"Leaf cell case {self.name}: {self.n} cells, {len(self.nets)} nets."]
lines.append("cells (index: name width height pins[net@x_offset,y_row]):")
for i, c in enumerate(self.cells):
pins = " ".join(f"{n}@{x},{y}" for (n, x, y) in c.pins)
lines.append(f" {i}: {c.name} w={c.width} h={c.height} pins=[{pins}]")
np_ = self.net_pins()
lines.append("nets (name: degree): " + ", ".join(f"{n}:{np_[n]}" for n in self.nets))
return "\n".join(lines)
# --------------------------------------------------------------------------
# Placement + routing
# --------------------------------------------------------------------------
def place(case: Case, order: Sequence[int], flip: Sequence[str]):
"""Abut the cells left-to-right in `order`; MY mirrors pin x offsets.
Returns (pin_positions, width) where pin_positions maps net -> list of
(x, y) absolute pin coordinates in grid units.
"""
if sorted(order) != list(range(case.n)):
raise ValueError("order is not a permutation of the cells")
if len(flip) != case.n:
raise ValueError("flip must have one entry per cell")
for f in flip:
if f not in ("R0", "MY"):
raise ValueError(f"illegal orientation {f!r}; O_set = {{R0, MY}}")
pins: Dict[str, List[Tuple[int, int]]] = {n: [] for n in case.nets}
x = 0
for slot, ci in enumerate(order):
c = case.cells[ci]
f = flip[slot]
for (net, ox, oy) in c.pins:
px = x + (c.width - 1 - ox if f == "MY" else ox)
pins[net].append((px, oy))
x += c.width
return pins, x
def _spans(pins: Dict[str, List[Tuple[int, int]]]):
sp = {}
for net, ps in pins.items():
if len(ps) < 2: # single-pin nets need no routing
continue
xs = [p[0] for p in ps]
sp[net] = (min(xs), max(xs))
return sp
def channel_route(spans: Dict[str, Tuple[int, int]], max_layers: int = MAX_LAYERS):
"""Algorithm 4 of the paper: constraint graph + greedy first-fit tracks.
Returns {net: (layer, track_index_within_layer)} and the total track count.
"""
nets = sorted(spans, key=lambda n: (spans[n][0], spans[n][1], n))
# BuildConstraintGraph: conflict iff horizontal spans overlap
conflict = {n: set() for n in nets}
for i, a in enumerate(nets):
for b in nets[i + 1:]:
(a0, a1), (b0, b1) = spans[a], spans[b]
if not (a1 < b0 or b1 < a0):
conflict[a].add(b)
conflict[b].add(a)
layers: List[List[List[str]]] = [[] for _ in range(max_layers)]
assign: Dict[str, Tuple[int, int]] = {}
for net in nets: # sorted by x_min ascending
assigned = False
for l in range(max_layers):
for k, track in enumerate(layers[l]):
if all(s not in conflict[net] for s in track):
track.append(net)
assign[net] = (l, k)
assigned = True
break
if assigned:
break
if not assigned:
# create a new track in the default layer q (least loaded layer, so
# that new tracks are spread over the available metal layers)
q = min(range(max_layers), key=lambda l: (len(layers[l]), l))
layers[q].append([net])
assign[net] = (q, len(layers[q]) - 1)
n_tracks = sum(len(l) for l in layers)
return assign, n_tracks, layers
def evaluate(case: Case, order: Sequence[int], flip: Sequence[str],
max_layers: int = MAX_LAYERS) -> Dict[str, float]:
"""Run PnR and return the three physical metrics of the paper."""
pins, row_w = place(case, order, flip)
spans = _spans(pins)
assign, n_tracks, layers = channel_route(spans, max_layers)
# track y coordinate: tracks are stacked above the cell row
ytrack = {}
idx = 0
for l in range(max_layers):
for k in range(len(layers[l])):
ytrack[(l, k)] = idx
idx += 1
wl = 0.0
vias = 0
for net, (x0, x1) in spans.items():
l, k = assign[net]
wl += (x1 - x0) * PITCH_UM # horizontal trunk
ty = ytrack[(l, k)]
for (px, py) in pins[net]:
wl += abs(ty + 1 + py) * TRACK_PITCH_UM # vertical drop to the pin
vias += 1 # pin -> routing layer via
if l > 0:
vias += 1 # extra layer transition
return {
"track": float(n_tracks),
"wl": round(wl, 2),
"via": float(vias),
"row_width": row_w,
"cost": ALPHA * n_tracks + BETA * wl + GAMMA * vias,
}
def metrics_vector(m: Dict[str, float]) -> List[float]:
return [m["track"], m["wl"], m["via"]]
# --------------------------------------------------------------------------
# Designers
# --------------------------------------------------------------------------
def expert_designer(case: Case) -> Tuple[List[int], List[str]]:
"""Rule-based stand-in for the paper's human-expert ``Golden Design``.
The industrial expert layouts of the paper are proprietary and were not
released, so we use the classic connectivity-driven manual heuristic a
layout engineer applies to a leaf-cell row: seed with the most connected
cell, then repeatedly abut the cell that shares the most nets with the
already-placed cells (ties broken by fewest new nets opened), and flip each
cell to pull its shared pins toward its placed neighbour.
"""
n = case.n
cell_nets = [set(p[0] for p in c.pins) for c in case.cells]
remaining = set(range(n))
start = max(remaining, key=lambda i: (len(cell_nets[i]), -i))
order = [start]
remaining.remove(start)
placed_nets = set(cell_nets[start])
while remaining:
best = max(
remaining,
key=lambda i: (len(cell_nets[i] & placed_nets), -len(cell_nets[i] - placed_nets), -i),
)
order.append(best)
placed_nets |= cell_nets[best]
remaining.remove(best)
flip = ["R0"] * n
for slot in range(1, n):
cur, prev = case.cells[order[slot]], case.cells[order[slot - 1]]
shared = set(p[0] for p in cur.pins) & set(p[0] for p in prev.pins)
if not shared:
continue
left = sum(p[1] for p in cur.pins if p[0] in shared)
right = sum(cur.width - 1 - p[1] for p in cur.pins if p[0] in shared)
if right < left: # mirroring brings shared pins left
flip[slot] = "MY"
return order, flip
def exhaustive_best(case: Case, budget: int = 200000, seed: int = 0):
"""Exact optimum over n!*2^n when affordable, else a large random sample."""
import itertools
total = math.factorial(case.n) * (2 ** case.n)
best = None
if total <= budget:
for order in itertools.permutations(range(case.n)):
for bits in range(2 ** case.n):
flip = ["MY" if (bits >> i) & 1 else "R0" for i in range(case.n)]
m = evaluate(case, order, flip)
if best is None or m["cost"] < best[2]["cost"]:
best = (list(order), flip, m)
return best, True
rng = random.Random(seed)
for _ in range(budget):
order = list(range(case.n))
rng.shuffle(order)
flip = [rng.choice(["R0", "MY"]) for _ in range(case.n)]
m = evaluate(case, order, flip)
if best is None or m["cost"] < best[2]["cost"]:
best = (order, flip, m)
return best, False
# --------------------------------------------------------------------------
# Script <-> layout mapping (the "PnR API" the LLM writes against)
# --------------------------------------------------------------------------
API_DOC = '''PnR API (Python):
from pnr_api import Design
d = Design() # loads the leaf cell given in the query
d.place(order=[...], flip=[...]) # order: permutation of cell indices,
# flip: one of "R0" / "MY" per placed slot
d.route(layers=2) # greedy channel routing over `layers` layers
d.save() # writes the layout
Design goal: minimise used routing tracks first, then wirelength and via count.'''
def script_for(order: Sequence[int], flip: Sequence[str], layers: int = MAX_LAYERS) -> str:
return (
"from pnr_api import Design\n"
"d = Design()\n"
f"d.place(order={list(order)}, flip={list(flip)})\n"
f"d.route(layers={layers})\n"
"d.save()\n"
)
class ScriptError(Exception):
pass
def parse_script(script: str, n: int):
"""Safely extract (order, flip, layers) from a generated script.
The script is parsed with `ast` and only the whitelisted PnR API calls are
interpreted - generated code is never executed.
"""
if "```" in script: # strip markdown fences if present
parts = script.split("```")
for p in parts:
if "d.place" in p:
script = p
if script.startswith("python"):
script = script[len("python"):]
break
try:
tree = ast.parse(script)
except SyntaxError as e:
raise ScriptError(f"syntax error: {e}")
order = flip = None
layers = MAX_LAYERS
for node in ast.walk(tree):
if not isinstance(node, ast.Call) or not isinstance(node.func, ast.Attribute):
continue
fn = node.func.attr
kw = {}
for k in node.keywords:
try:
kw[k.arg] = ast.literal_eval(k.value)
except Exception:
raise ScriptError(f"non-literal argument to {fn}()")
if fn == "place":
args = list(node.args)
if "order" in kw:
order = kw["order"]
elif args:
order = ast.literal_eval(args[0])
if "flip" in kw:
flip = kw["flip"]
elif len(args) > 1:
flip = ast.literal_eval(args[1])
elif fn == "route":
if "layers" in kw:
layers = int(kw["layers"])
elif node.args:
layers = int(ast.literal_eval(node.args[0]))
if order is None:
raise ScriptError("no d.place(order=...) call found")
order = [int(i) for i in order]
if sorted(order) != list(range(n)):
raise ScriptError(f"illegal placement permutation {order} for {n} cells")
if flip is None:
flip = ["R0"] * n
flip = [str(f).upper() for f in flip]
if len(flip) != n or any(f not in ("R0", "MY") for f in flip):
raise ScriptError(f"illegal orientation list {flip}")
layers = max(1, min(int(layers), 4))
return order, flip, layers
def run_script(case: Case, script: str) -> Dict[str, float]:
order, flip, layers = parse_script(script, case.n)
return evaluate(case, order, flip, max_layers=layers)
# --------------------------------------------------------------------------
# Synthetic industrial-style benchmark generation
# --------------------------------------------------------------------------
LIB = [
("INV", 2, 1), ("NAND2", 3, 1), ("NOR2", 3, 1), ("AOI21", 4, 1),
("DFF", 6, 1), ("BUF", 3, 1), ("XOR2", 5, 1), ("MUX2", 5, 1),
("OAI22", 5, 1), ("LATCH", 5, 1),
]
def make_case(name: str, n_cells: int, seed: int) -> Case:
"""Generate a leaf-cell netlist with realistic fan-out structure."""
rng = random.Random(seed)
cells = []
net_id = 0
open_nets: List[str] = []
for i in range(n_cells):
lname, w, h = LIB[rng.randrange(len(LIB))]
n_in = rng.choice([2, 2, 3, 3])
pins = []
for j in range(n_in):
if open_nets and rng.random() < 0.75:
net = open_nets[rng.randrange(len(open_nets))]
else:
net = f"n{net_id}"
net_id += 1
open_nets.append(net)
pins.append((net, rng.randrange(w), 0))
out = f"n{net_id}"
net_id += 1
open_nets.append(out)
pins.append((out, rng.randrange(w), 0))
if len(open_nets) > 6:
open_nets.pop(0)
cells.append(Cell(f"{lname}{i}", w, h, tuple(pins)))
return Case(name, cells)
def load_cases(path: str) -> List[Case]:
with open(path, encoding="utf-8") as f:
return [Case.from_dict(d) for d in json.load(f)]
def save_cases(cases: List[Case], path: str) -> None:
with open(path, "w", encoding="utf-8") as f:
json.dump([c.to_dict() for c in cases], f)
|