sparam-conformance / generate.py
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"""Generate the sparam-conformance corpus.
A labelled set of S-parameter networks with ground-truth physical verdicts.
Every case is synthesised from a closed-form model, so the label is derived
from construction rather than asserted -- we know a network is non-passive
because we built it that way, not because a checker said so.
Run: python generate.py [--out data]
"""
from __future__ import annotations
import argparse
import hashlib
import json
from dataclasses import dataclass, field
from pathlib import Path
import numpy as np
FREQ = np.linspace(1e9, 40e9, 64)
# The five laws, in the order every checker should report them.
LAWS = ("passivity", "reciprocity", "energy_conservation",
"positive_real_z0", "group_delay_nonneg")
@dataclass
class Case:
name: str
s: np.ndarray
freq: np.ndarray
z0: float
expect: dict[str, bool] # law -> should_pass
physical: bool # is this a realizable passive device?
note: str
tags: list[str] = field(default_factory=list)
def _line(loss_db=0.5, delay_s=20e-12, refl=0.05):
amp = 10.0 ** (-abs(loss_db) / 20.0)
s21 = amp * np.exp(-1j * 2 * np.pi * FREQ * delay_s)
s = np.zeros((len(FREQ), 2, 2), dtype=complex)
s[:, 0, 0] = s[:, 1, 1] = refl
s[:, 0, 1] = s[:, 1, 0] = s21
return s
def _resonator(f0=20e9, q=30.0, delay_s=10e-12):
"""A passive shunt resonator: sharp phase, still causal and passive."""
x = (FREQ / f0) - (f0 / FREQ)
denom = 1.0 + 1j * q * x
s21 = (1.0 / denom) * np.exp(-1j * 2 * np.pi * FREQ * delay_s)
s11 = 1.0 - 1.0 / denom
s = np.zeros((len(FREQ), 2, 2), dtype=complex)
s[:, 0, 0] = s[:, 1, 1] = s11
s[:, 0, 1] = s[:, 1, 0] = s21
# A resonator built naively from these closed forms is NOT passive -- the
# 2x2 spectral norm exceeds 1 near resonance. Normalise by the worst
# singular value so the network genuinely satisfies the law its label
# claims. A corpus whose "passive" case is not passive is worse than no
# corpus at all.
worst = max(np.linalg.svd(m, compute_uv=False)[0] for m in s)
return s * (0.98 / worst)
def _attenuator(db=10.0):
a = 10.0 ** (-db / 20.0)
s = np.zeros((len(FREQ), 2, 2), dtype=complex)
s[:, 0, 1] = s[:, 1, 0] = a
return s
def _matched_load():
return np.zeros((len(FREQ), 2, 2), dtype=complex)
def _marginal_passive():
"""sigma_max just below 1 -- a lossless line. Must PASS."""
s21 = np.exp(-1j * 2 * np.pi * FREQ * 15e-12) * (1.0 - 1e-12)
s = np.zeros((len(FREQ), 2, 2), dtype=complex)
s[:, 0, 1] = s[:, 1, 0] = s21
return s
def _thru_4port():
"""Two independent thru paths: 1-2 and 3-4. Passive and reciprocal."""
n = len(FREQ)
s = np.zeros((n, 4, 4), dtype=complex)
a = 0.9 * np.exp(-1j * 2 * np.pi * FREQ * 12e-12)
s[:, 0, 1] = s[:, 1, 0] = a
s[:, 2, 3] = s[:, 3, 2] = a
return s
def build_cases() -> list[Case]:
ok = {law: True for law in LAWS}
cases: list[Case] = []
# ---------- physically realizable: everything must pass ----------
cases.append(Case(
"passive_line", _line(), FREQ, 50.0, dict(ok), True,
"Lossy 20 ps delay line, 0.5 dB insertion loss. The baseline sane case.",
["passive", "2port"]))
cases.append(Case(
"passive_resonator", _resonator(), FREQ, 50.0, dict(ok), True,
"Shunt resonator, Q=30 at 20 GHz. Sharp phase slope near resonance -- "
"the case where a group-delay check without phase unwrapping fails.",
["passive", "2port", "sharp_phase"]))
cases.append(Case(
"passive_attenuator", _attenuator(), FREQ, 50.0, dict(ok), True,
"Ideal 10 dB matched attenuator.", ["passive", "2port"]))
cases.append(Case(
"matched_load", _matched_load(), FREQ, 50.0, dict(ok), True,
"All-zero S: perfectly matched, fully absorbing. A degenerate but "
"legal network; checkers that divide by |S| must not blow up.",
["passive", "2port", "degenerate"]))
cases.append(Case(
"marginal_lossless", _marginal_passive(), FREQ, 50.0, dict(ok), True,
"Lossless line with sigma_max = 1 - 1e-12. Sits on the passivity "
"boundary; a checker with a too-tight tolerance false-alarms here.",
["passive", "2port", "boundary"]))
cases.append(Case(
"passive_4port", _thru_4port(), FREQ, 50.0, dict(ok), True,
"Four-port with two independent thru paths. Exercises N>2 handling.",
["passive", "4port"]))
# ---------- non-physical: exactly one law must fail ----------
s = _line()
s[:, 0, 1] *= 3.0
s[:, 1, 0] *= 3.0
cases.append(Case(
"active_gain", s, FREQ, 50.0,
{**ok, "passivity": False, "energy_conservation": False}, False,
"Delay line with 3x through-path gain. Creates energy: fails both the "
"spectral-norm and the row-power tests.", ["nonphysical", "2port"]))
s = _line()
s[:, 0, 0] = s[:, 1, 1] = 0.9
s[:, 0, 1] = s[:, 1, 0] = 0.9
cases.append(Case(
"energy_row_violation", s, FREQ, 50.0,
{**ok, "passivity": False, "energy_conservation": False}, False,
"Row power > 1 when port 1 is driven.", ["nonphysical", "2port"]))
s = _line()
s[:, 0, 0] = s[:, 1, 1] = -1.6
cases.append(Case(
"negative_resistance", s, FREQ, 50.0,
{**ok, "passivity": False, "positive_real_z0": False,
"energy_conservation": False}, False,
"|S11| > 1 gives Re(Z_in) < 0: negative resistance at the port. It "
"unavoidably breaks energy conservation too -- a reflection "
"coefficient above unity returns more power than arrives -- so this "
"case cannot isolate a single law, and the label says so.",
["nonphysical", "2port"]))
s = _line()
amp = np.abs(s[:, 0, 1])
s[:, 0, 1] = s[:, 1, 0] = amp * np.exp(+1j * 2 * np.pi * FREQ * 20e-12)
cases.append(Case(
"noncausal_advance", s, FREQ, 50.0,
{**ok, "group_delay_nonneg": False}, False,
"Phase advances with frequency: the output precedes the input. "
"Passive and reciprocal, so ONLY the causality check should fire.",
["nonphysical", "2port", "isolates_one_law"]))
# ---------- real device that legitimately fails a law ----------
s = _line()
s[:, 0, 1] = s[:, 1, 0] * 0.02 # 34 dB isolation one way
cases.append(Case(
"ferrite_isolator", s, FREQ, 50.0,
{**ok, "reciprocity": False}, True,
"A ferrite isolator. NON-RECIPROCAL BY DESIGN and entirely realizable "
"-- the medium is not reciprocal. The reciprocity check correctly "
"fires, and that is a true positive for the law but NOT a defect in "
"the device. Any tool reporting this must let the user say so.",
["physical", "2port", "expected_law_failure"]))
return cases
def write_touchstone(path: Path, c: Case) -> None:
n = c.s.shape[1]
lines = [f"! {c.name}", f"! {c.note}", f"# HZ S RI R {c.z0:g}"]
for fi, f in enumerate(c.freq):
m = c.s[fi]
if n == 2: # Touchstone 2-port: S11 S21 S12 S22
vals = [m[0, 0], m[1, 0], m[0, 1], m[1, 1]]
else: # N>=3: row-major
vals = list(m.reshape(-1))
lines.append(f"{f:.12g} " + " ".join(
f"{v.real:.12g} {v.imag:.12g}" for v in vals))
path.write_text("\n".join(lines) + "\n", encoding="utf-8", newline="\n")
def main() -> int:
ap = argparse.ArgumentParser()
ap.add_argument("--out", default="data")
args = ap.parse_args()
out = Path(__file__).resolve().parent / args.out
out.mkdir(parents=True, exist_ok=True)
cases = build_cases()
manifest = {
"corpus": "sparam-conformance",
"version": "1.0.0",
"license": "CC-BY-4.0",
"n_cases": len(cases),
"laws": list(LAWS),
"freq_hz": {"start": float(FREQ[0]), "stop": float(FREQ[-1]),
"n": int(len(FREQ))},
"note": (
"Every network is synthesised from a closed-form model, so each "
"label is derived from construction rather than from a checker's "
"opinion. 'physical' marks whether the device is realizable; a "
"device can be physical AND legitimately fail a law -- see "
"ferrite_isolator."
),
"cases": [],
}
for c in cases:
n = c.s.shape[1]
fname = f"{c.name}.s{n}p"
write_touchstone(out / fname, c)
digest = hashlib.sha256((out / fname).read_bytes()).hexdigest()
manifest["cases"].append({
"name": c.name,
"file": fname,
"n_ports": n,
"z0_ohm": c.z0,
"physical": c.physical,
"expect": c.expect,
"expect_all_pass": all(c.expect.values()),
"note": c.note,
"tags": c.tags,
"sha256": digest,
})
(out / "manifest.json").write_text(
json.dumps(manifest, indent=2) + "\n", encoding="utf-8", newline="\n")
print(f"wrote {len(cases)} cases + manifest.json to {out}")
return 0
if __name__ == "__main__":
raise SystemExit(main())