| """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 |
|
|
| |
| ALPHA, BETA, GAMMA = 0.4, 0.3, 0.3 |
|
|
| |
| |
| PITCH_UM = 0.19 |
| TRACK_PITCH_UM = 0.19 |
| MAX_LAYERS = 2 |
|
|
|
|
| @dataclass(frozen=True) |
| class Cell: |
| name: str |
| width: int |
| height: int |
| pins: Tuple[Tuple[str, int, int], ...] |
|
|
| @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) |
|
|
|
|
| |
| |
| |
|
|
|
|
| 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: |
| 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)) |
| |
| 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: |
| 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: |
| |
| |
| 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) |
|
|
| |
| 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 |
| ty = ytrack[(l, k)] |
| for (px, py) in pins[net]: |
| wl += abs(ty + 1 + py) * TRACK_PITCH_UM |
| vias += 1 |
| if l > 0: |
| vias += 1 |
| 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"]] |
|
|
|
|
| |
| |
| |
|
|
|
|
| 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: |
| 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 |
|
|
|
|
| |
| |
| |
|
|
| 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: |
| 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) |
|
|
|
|
| |
| |
| |
|
|
| 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) |
|
|