"""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)