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FA-56156 / Astronomical coordinate conventions / Open access

Fabry perot spectral order: Inverse Fabry-Perot line calibration omits the incidence-angle divisor · case 01

The adapter reports an incorrect thickness from line while other fields remain valid.

Verified by executionVariant 1 · 6 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

Inverse Fabry-Perot line calibration omits the incidence-angle divisor. Faulty expression: d['line']*d['m']/2

THE FAILURE

Inverse Fabry-Perot line calibration omits the incidence-angle divisor. Faulty expression: d['line']*d['m']/2

Unsuccessful approach: A partial convention repair still uses d['line']/(2*d['q']*d['m'])

Case contract

A reduced Fabry-Perot scan supplies optical thickness T, integer interference order m>0, cosine q of incidence angle, channel thickness step d, channel k, and separate calibration line wavelength line. Wavelength is 2*(T+k*d)*q/m. Interference order is a coordinate label, not the channel index. Output fields are defined by: wavelength = 2*(d['T']+d['k']*d['d'])*d['q']/d['m']; channel_dispersion = 2*d['d']*d['q']/d['m']; adjacent_order_wavelength = 2*d['T']*d['q']/(d['m']+1); free_spectral_interval = 2*d['T']*d['q']/d['m']-2*d['T']*d['q']/(d['m']+1); normal_incidence = 2*d['T']/d['m']; thickness_from_line = d['line']*d['m']/(2*d['q'])

Why this case matters

Catalog, detector, sky-coordinate, and spectroscopy adapters must preserve the association between numeric coordinates and their declared reference conventions.

1 / The failure

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(d):
    return {'wavelength': 2*(d['T']+d['k']*d['d'])*d['q']/d['m'], 'channel_dispersion': 2*d['d']*d['q']/d['m'], 'adjacent_order_wavelength': 2*d['T']*d['q']/(d['m']+1), 'free_spectral_interval': 2*d['T']*d['q']/d['m']-2*d['T']*d['q']/(d['m']+1), 'normal_incidence': 2*d['T']/d['m'], 'thickness_from_line': d['line']*d['m']/2}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = {1: [({'T': 120, 'm': 4, 'q': 0.5, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 31.5, 'channel_dispersion': 0.5, 'adjacent_order_wavelength': 24.0, 'free_spectral_interval': 6.0, 'normal_incidence': 60.0, 'thickness_from_line': 120.0}), ({'T': 120, 'm': 4, 'q': 1, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 63.0, 'channel_dispersion': 1.0, 'adjacent_order_wavelength': 48.0, 'free_spectral_interval': 12.0, 'normal_incidence': 60.0, 'thickness_from_line': 60.0}), ({'T': 120, 'm': 4, 'q': 0.5, 'd': 2, 'k': 0, 'line': 30}, {'wavelength': 30.0, 'channel_dispersion': 0.5, 'adjacent_order_wavelength': 24.0, 'free_spectral_interval': 6.0, 'normal_incidence': 60.0, 'thickness_from_line': 120.0}), ({'T': 120, 'm': 4, 'q': 0.5, 'd': -2, 'k': 3, 'line': 30}, {'wavelength': 28.5, 'channel_dispersion': -0.5, 'adjacent_order_wavelength': 24.0, 'free_spectral_interval': 6.0, 'normal_incidence': 60.0, 'thickness_from_line': 120.0}), ({'T': 120, 'm': 1, 'q': 0.5, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 126.0, 'channel_dispersion': 2.0, 'adjacent_order_wavelength': 60.0, 'free_spectral_interval': 60.0, 'normal_incidence': 240.0, 'thickness_from_line': 30.0}), ({'T': 120, 'm': 4, 'q': 0.25, 'd': 0, 'k': 3, 'line': 30}, {'wavelength': 15.0, 'channel_dispersion': 0.0, 'adjacent_order_wavelength': 12.0, 'free_spectral_interval': 3.0, 'normal_incidence': 60.0, 'thickness_from_line': 240.0})], 2: [({'T': 121, 'm': 4, 'q': 0.5, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 31.75, 'channel_dispersion': 0.5, 'adjacent_order_wavelength': 24.2, 'free_spectral_interval': 6.050000000000001, 'normal_incidence': 60.5, 'thickness_from_line': 120.0}), ({'T': 121, 'm': 4, 'q': 1, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 63.5, 'channel_dispersion': 1.0, 'adjacent_order_wavelength': 48.4, 'free_spectral_interval': 12.100000000000001, 'normal_incidence': 60.5, 'thickness_from_line': 60.0}), ({'T': 121, 'm': 4, 'q': 0.5, 'd': 2, 'k': 0, 'line': 30}, {'wavelength': 30.25, 'channel_dispersion': 0.5, 'adjacent_order_wavelength': 24.2, 'free_spectral_interval': 6.050000000000001, 'normal_incidence': 60.5, 'thickness_from_line': 120.0}), ({'T': 121, 'm': 4, 'q': 0.5, 'd': -2, 'k': 3, 'line': 30}, {'wavelength': 28.75, 'channel_dispersion': -0.5, 'adjacent_order_wavelength': 24.2, 'free_spectral_interval': 6.050000000000001, 'normal_incidence': 60.5, 'thickness_from_line': 120.0}), ({'T': 121, 'm': 1, 'q': 0.5, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 127.0, 'channel_dispersion': 2.0, 'adjacent_order_wavelength': 60.5, 'free_spectral_interval': 60.5, 'normal_incidence': 242.0, 'thickness_from_line': 30.0}), ({'T': 121, 'm': 4, 'q': 0.25, 'd': 0, 'k': 3, 'line': 30}, {'wavelength': 15.125, 'channel_dispersion': 0.0, 'adjacent_order_wavelength': 12.1, 'free_spectral_interval': 3.0250000000000004, 'normal_incidence': 60.5, 'thickness_from_line': 240.0})], 3: [({'T': 122, 'm': 4, 'q': 0.5, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 32.0, 'channel_dispersion': 0.5, 'adjacent_order_wavelength': 24.4, 'free_spectral_interval': 6.100000000000001, 'normal_incidence': 61.0, 'thickness_from_line': 120.0}), ({'T': 122, 'm': 4, 'q': 1, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 64.0, 'channel_dispersion': 1.0, 'adjacent_order_wavelength': 48.8, 'free_spectral_interval': 12.200000000000003, 'normal_incidence': 61.0, 'thickness_from_line': 60.0}), ({'T': 122, 'm': 4, 'q': 0.5, 'd': 2, 'k': 0, 'line': 30}, {'wavelength': 30.5, 'channel_dispersion': 0.5, 'adjacent_order_wavelength': 24.4, 'free_spectral_interval': 6.100000000000001, 'normal_incidence': 61.0, 'thickness_from_line': 120.0}), ({'T': 122, 'm': 4, 'q': 0.5, 'd': -2, 'k': 3, 'line': 30}, {'wavelength': 29.0, 'channel_dispersion': -0.5, 'adjacent_order_wavelength': 24.4, 'free_spectral_interval': 6.100000000000001, 'normal_incidence': 61.0, 'thickness_from_line': 120.0}), ({'T': 122, 'm': 1, 'q': 0.5, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 128.0, 'channel_dispersion': 2.0, 'adjacent_order_wavelength': 61.0, 'free_spectral_interval': 61.0, 'normal_incidence': 244.0, 'thickness_from_line': 30.0}), ({'T': 122, 'm': 4, 'q': 0.25, 'd': 0, 'k': 3, 'line': 30}, {'wavelength': 15.25, 'channel_dispersion': 0.0, 'adjacent_order_wavelength': 12.2, 'free_spectral_interval': 3.0500000000000007, 'normal_incidence': 61.0, 'thickness_from_line': 240.0})], 4: [({'T': 123, 'm': 4, 'q': 0.5, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 32.25, 'channel_dispersion': 0.5, 'adjacent_order_wavelength': 24.6, 'free_spectral_interval': 6.149999999999999, 'normal_incidence': 61.5, 'thickness_from_line': 120.0}), ({'T': 123, 'm': 4, 'q': 1, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 64.5, 'channel_dispersion': 1.0, 'adjacent_order_wavelength': 49.2, 'free_spectral_interval': 12.299999999999997, 'normal_incidence': 61.5, 'thickness_from_line': 60.0}), ({'T': 123, 'm': 4, 'q': 0.5, 'd': 2, 'k': 0, 'line': 30}, {'wavelength': 30.75, 'channel_dispersion': 0.5, 'adjacent_order_wavelength': 24.6, 'free_spectral_interval': 6.149999999999999, 'normal_incidence': 61.5, 'thickness_from_line': 120.0}), ({'T': 123, 'm': 4, 'q': 0.5, 'd': -2, 'k': 3, 'line': 30}, {'wavelength': 29.25, 'channel_dispersion': -0.5, 'adjacent_order_wavelength': 24.6, 'free_spectral_interval': 6.149999999999999, 'normal_incidence': 61.5, 'thickness_from_line': 120.0}), ({'T': 123, 'm': 1, 'q': 0.5, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 129.0, 'channel_dispersion': 2.0, 'adjacent_order_wavelength': 61.5, 'free_spectral_interval': 61.5, 'normal_incidence': 246.0, 'thickness_from_line': 30.0}), ({'T': 123, 'm': 4, 'q': 0.25, 'd': 0, 'k': 3, 'line': 30}, {'wavelength': 15.375, 'channel_dispersion': 0.0, 'adjacent_order_wavelength': 12.3, 'free_spectral_interval': 3.0749999999999993, 'normal_incidence': 61.5, 'thickness_from_line': 240.0})], 5: [({'T': 124, 'm': 4, 'q': 0.5, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 32.5, 'channel_dispersion': 0.5, 'adjacent_order_wavelength': 24.8, 'free_spectral_interval': 6.199999999999999, 'normal_incidence': 62.0, 'thickness_from_line': 120.0}), ({'T': 124, 'm': 4, 'q': 1, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 65.0, 'channel_dispersion': 1.0, 'adjacent_order_wavelength': 49.6, 'free_spectral_interval': 12.399999999999999, 'normal_incidence': 62.0, 'thickness_from_line': 60.0}), ({'T': 124, 'm': 4, 'q': 0.5, 'd': 2, 'k': 0, 'line': 30}, {'wavelength': 31.0, 'channel_dispersion': 0.5, 'adjacent_order_wavelength': 24.8, 'free_spectral_interval': 6.199999999999999, 'normal_incidence': 62.0, 'thickness_from_line': 120.0}), ({'T': 124, 'm': 4, 'q': 0.5, 'd': -2, 'k': 3, 'line': 30}, {'wavelength': 29.5, 'channel_dispersion': -0.5, 'adjacent_order_wavelength': 24.8, 'free_spectral_interval': 6.199999999999999, 'normal_incidence': 62.0, 'thickness_from_line': 120.0}), ({'T': 124, 'm': 1, 'q': 0.5, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 130.0, 'channel_dispersion': 2.0, 'adjacent_order_wavelength': 62.0, 'free_spectral_interval': 62.0, 'normal_incidence': 248.0, 'thickness_from_line': 30.0}), ({'T': 124, 'm': 4, 'q': 0.25, 'd': 0, 'k': 3, 'line': 30}, {'wavelength': 15.5, 'channel_dispersion': 0.0, 'adjacent_order_wavelength': 12.4, 'free_spectral_interval': 3.0999999999999996, 'normal_incidence': 62.0, 'thickness_from_line': 240.0})]}
for i, (record, expected) in enumerate(fixtures[N]):
    check('astronomical fixture %s' % i, solve(record), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
Boundary fixtureActualExpectedOutcome
astronomical fixture 0{'adjacent_order_wavelength': 24.0, 'channel_dispersion': 0.5, 'free_spectral_interval': 6.0, 'normal_incidence': 60.0, 'thickness_from_line': 60.0, 'wavelength': 31.5}{'adjacent_order_wavelength': 24.0, 'channel_dispersion': 0.5, 'free_spectral_interval': 6.0, 'normal_incidence': 60.0, 'thickness_from_line': 120.0, 'wavelength': 31.5}Failed
astronomical fixture 1{'adjacent_order_wavelength': 48.0, 'channel_dispersion': 1.0, 'free_spectral_interval': 12.0, 'normal_incidence': 60.0, 'thickness_from_line': 60.0, 'wavelength': 63.0}{'adjacent_order_wavelength': 48.0, 'channel_dispersion': 1.0, 'free_spectral_interval': 12.0, 'normal_incidence': 60.0, 'thickness_from_line': 60.0, 'wavelength': 63.0}Passed
astronomical fixture 2{'adjacent_order_wavelength': 24.0, 'channel_dispersion': 0.5, 'free_spectral_interval': 6.0, 'normal_incidence': 60.0, 'thickness_from_line': 60.0, 'wavelength': 30.0}{'adjacent_order_wavelength': 24.0, 'channel_dispersion': 0.5, 'free_spectral_interval': 6.0, 'normal_incidence': 60.0, 'thickness_from_line': 120.0, 'wavelength': 30.0}Failed
astronomical fixture 3{'adjacent_order_wavelength': 24.0, 'channel_dispersion': -0.5, 'free_spectral_interval': 6.0, 'normal_incidence': 60.0, 'thickness_from_line': 60.0, 'wavelength': 28.5}{'adjacent_order_wavelength': 24.0, 'channel_dispersion': -0.5, 'free_spectral_interval': 6.0, 'normal_incidence': 60.0, 'thickness_from_line': 120.0, 'wavelength': 28.5}Failed
astronomical fixture 4{'adjacent_order_wavelength': 60.0, 'channel_dispersion': 2.0, 'free_spectral_interval': 60.0, 'normal_incidence': 240.0, 'thickness_from_line': 15.0, 'wavelength': 126.0}{'adjacent_order_wavelength': 60.0, 'channel_dispersion': 2.0, 'free_spectral_interval': 60.0, 'normal_incidence': 240.0, 'thickness_from_line': 30.0, 'wavelength': 126.0}Failed
astronomical fixture 5{'adjacent_order_wavelength': 12.0, 'channel_dispersion': 0.0, 'free_spectral_interval': 3.0, 'normal_incidence': 60.0, 'thickness_from_line': 60.0, 'wavelength': 15.0}{'adjacent_order_wavelength': 12.0, 'channel_dispersion': 0.0, 'free_spectral_interval': 3.0, 'normal_incidence': 60.0, 'thickness_from_line': 240.0, 'wavelength': 15.0}Failed

SHA-256 / 94f513b171c12b4e9a1f4e69b833544d267b197cfcb859fa97b7ce38bf182cff

2 / The unsuccessful fix

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(d):
    return {'wavelength': 2*(d['T']+d['k']*d['d'])*d['q']/d['m'], 'channel_dispersion': 2*d['d']*d['q']/d['m'], 'adjacent_order_wavelength': 2*d['T']*d['q']/(d['m']+1), 'free_spectral_interval': 2*d['T']*d['q']/d['m']-2*d['T']*d['q']/(d['m']+1), 'normal_incidence': 2*d['T']/d['m'], 'thickness_from_line': d['line']/(2*d['q']*d['m'])}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = {1: [({'T': 120, 'm': 4, 'q': 0.5, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 31.5, 'channel_dispersion': 0.5, 'adjacent_order_wavelength': 24.0, 'free_spectral_interval': 6.0, 'normal_incidence': 60.0, 'thickness_from_line': 120.0}), ({'T': 120, 'm': 4, 'q': 1, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 63.0, 'channel_dispersion': 1.0, 'adjacent_order_wavelength': 48.0, 'free_spectral_interval': 12.0, 'normal_incidence': 60.0, 'thickness_from_line': 60.0}), ({'T': 120, 'm': 4, 'q': 0.5, 'd': 2, 'k': 0, 'line': 30}, {'wavelength': 30.0, 'channel_dispersion': 0.5, 'adjacent_order_wavelength': 24.0, 'free_spectral_interval': 6.0, 'normal_incidence': 60.0, 'thickness_from_line': 120.0}), ({'T': 120, 'm': 4, 'q': 0.5, 'd': -2, 'k': 3, 'line': 30}, {'wavelength': 28.5, 'channel_dispersion': -0.5, 'adjacent_order_wavelength': 24.0, 'free_spectral_interval': 6.0, 'normal_incidence': 60.0, 'thickness_from_line': 120.0}), ({'T': 120, 'm': 1, 'q': 0.5, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 126.0, 'channel_dispersion': 2.0, 'adjacent_order_wavelength': 60.0, 'free_spectral_interval': 60.0, 'normal_incidence': 240.0, 'thickness_from_line': 30.0}), ({'T': 120, 'm': 4, 'q': 0.25, 'd': 0, 'k': 3, 'line': 30}, {'wavelength': 15.0, 'channel_dispersion': 0.0, 'adjacent_order_wavelength': 12.0, 'free_spectral_interval': 3.0, 'normal_incidence': 60.0, 'thickness_from_line': 240.0})], 2: [({'T': 121, 'm': 4, 'q': 0.5, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 31.75, 'channel_dispersion': 0.5, 'adjacent_order_wavelength': 24.2, 'free_spectral_interval': 6.050000000000001, 'normal_incidence': 60.5, 'thickness_from_line': 120.0}), ({'T': 121, 'm': 4, 'q': 1, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 63.5, 'channel_dispersion': 1.0, 'adjacent_order_wavelength': 48.4, 'free_spectral_interval': 12.100000000000001, 'normal_incidence': 60.5, 'thickness_from_line': 60.0}), ({'T': 121, 'm': 4, 'q': 0.5, 'd': 2, 'k': 0, 'line': 30}, {'wavelength': 30.25, 'channel_dispersion': 0.5, 'adjacent_order_wavelength': 24.2, 'free_spectral_interval': 6.050000000000001, 'normal_incidence': 60.5, 'thickness_from_line': 120.0}), ({'T': 121, 'm': 4, 'q': 0.5, 'd': -2, 'k': 3, 'line': 30}, {'wavelength': 28.75, 'channel_dispersion': -0.5, 'adjacent_order_wavelength': 24.2, 'free_spectral_interval': 6.050000000000001, 'normal_incidence': 60.5, 'thickness_from_line': 120.0}), ({'T': 121, 'm': 1, 'q': 0.5, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 127.0, 'channel_dispersion': 2.0, 'adjacent_order_wavelength': 60.5, 'free_spectral_interval': 60.5, 'normal_incidence': 242.0, 'thickness_from_line': 30.0}), ({'T': 121, 'm': 4, 'q': 0.25, 'd': 0, 'k': 3, 'line': 30}, {'wavelength': 15.125, 'channel_dispersion': 0.0, 'adjacent_order_wavelength': 12.1, 'free_spectral_interval': 3.0250000000000004, 'normal_incidence': 60.5, 'thickness_from_line': 240.0})], 3: [({'T': 122, 'm': 4, 'q': 0.5, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 32.0, 'channel_dispersion': 0.5, 'adjacent_order_wavelength': 24.4, 'free_spectral_interval': 6.100000000000001, 'normal_incidence': 61.0, 'thickness_from_line': 120.0}), ({'T': 122, 'm': 4, 'q': 1, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 64.0, 'channel_dispersion': 1.0, 'adjacent_order_wavelength': 48.8, 'free_spectral_interval': 12.200000000000003, 'normal_incidence': 61.0, 'thickness_from_line': 60.0}), ({'T': 122, 'm': 4, 'q': 0.5, 'd': 2, 'k': 0, 'line': 30}, {'wavelength': 30.5, 'channel_dispersion': 0.5, 'adjacent_order_wavelength': 24.4, 'free_spectral_interval': 6.100000000000001, 'normal_incidence': 61.0, 'thickness_from_line': 120.0}), ({'T': 122, 'm': 4, 'q': 0.5, 'd': -2, 'k': 3, 'line': 30}, {'wavelength': 29.0, 'channel_dispersion': -0.5, 'adjacent_order_wavelength': 24.4, 'free_spectral_interval': 6.100000000000001, 'normal_incidence': 61.0, 'thickness_from_line': 120.0}), ({'T': 122, 'm': 1, 'q': 0.5, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 128.0, 'channel_dispersion': 2.0, 'adjacent_order_wavelength': 61.0, 'free_spectral_interval': 61.0, 'normal_incidence': 244.0, 'thickness_from_line': 30.0}), ({'T': 122, 'm': 4, 'q': 0.25, 'd': 0, 'k': 3, 'line': 30}, {'wavelength': 15.25, 'channel_dispersion': 0.0, 'adjacent_order_wavelength': 12.2, 'free_spectral_interval': 3.0500000000000007, 'normal_incidence': 61.0, 'thickness_from_line': 240.0})], 4: [({'T': 123, 'm': 4, 'q': 0.5, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 32.25, 'channel_dispersion': 0.5, 'adjacent_order_wavelength': 24.6, 'free_spectral_interval': 6.149999999999999, 'normal_incidence': 61.5, 'thickness_from_line': 120.0}), ({'T': 123, 'm': 4, 'q': 1, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 64.5, 'channel_dispersion': 1.0, 'adjacent_order_wavelength': 49.2, 'free_spectral_interval': 12.299999999999997, 'normal_incidence': 61.5, 'thickness_from_line': 60.0}), ({'T': 123, 'm': 4, 'q': 0.5, 'd': 2, 'k': 0, 'line': 30}, {'wavelength': 30.75, 'channel_dispersion': 0.5, 'adjacent_order_wavelength': 24.6, 'free_spectral_interval': 6.149999999999999, 'normal_incidence': 61.5, 'thickness_from_line': 120.0}), ({'T': 123, 'm': 4, 'q': 0.5, 'd': -2, 'k': 3, 'line': 30}, {'wavelength': 29.25, 'channel_dispersion': -0.5, 'adjacent_order_wavelength': 24.6, 'free_spectral_interval': 6.149999999999999, 'normal_incidence': 61.5, 'thickness_from_line': 120.0}), ({'T': 123, 'm': 1, 'q': 0.5, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 129.0, 'channel_dispersion': 2.0, 'adjacent_order_wavelength': 61.5, 'free_spectral_interval': 61.5, 'normal_incidence': 246.0, 'thickness_from_line': 30.0}), ({'T': 123, 'm': 4, 'q': 0.25, 'd': 0, 'k': 3, 'line': 30}, {'wavelength': 15.375, 'channel_dispersion': 0.0, 'adjacent_order_wavelength': 12.3, 'free_spectral_interval': 3.0749999999999993, 'normal_incidence': 61.5, 'thickness_from_line': 240.0})], 5: [({'T': 124, 'm': 4, 'q': 0.5, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 32.5, 'channel_dispersion': 0.5, 'adjacent_order_wavelength': 24.8, 'free_spectral_interval': 6.199999999999999, 'normal_incidence': 62.0, 'thickness_from_line': 120.0}), ({'T': 124, 'm': 4, 'q': 1, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 65.0, 'channel_dispersion': 1.0, 'adjacent_order_wavelength': 49.6, 'free_spectral_interval': 12.399999999999999, 'normal_incidence': 62.0, 'thickness_from_line': 60.0}), ({'T': 124, 'm': 4, 'q': 0.5, 'd': 2, 'k': 0, 'line': 30}, {'wavelength': 31.0, 'channel_dispersion': 0.5, 'adjacent_order_wavelength': 24.8, 'free_spectral_interval': 6.199999999999999, 'normal_incidence': 62.0, 'thickness_from_line': 120.0}), ({'T': 124, 'm': 4, 'q': 0.5, 'd': -2, 'k': 3, 'line': 30}, {'wavelength': 29.5, 'channel_dispersion': -0.5, 'adjacent_order_wavelength': 24.8, 'free_spectral_interval': 6.199999999999999, 'normal_incidence': 62.0, 'thickness_from_line': 120.0}), ({'T': 124, 'm': 1, 'q': 0.5, 'd': 2, 'k': 3, 'line': 30}, {'wavelength': 130.0, 'channel_dispersion': 2.0, 'adjacent_order_wavelength': 62.0, 'free_spectral_interval': 62.0, 'normal_incidence': 248.0, 'thickness_from_line': 30.0}), ({'T': 124, 'm': 4, 'q': 0.25, 'd': 0, 'k': 3, 'line': 30}, {'wavelength': 15.5, 'channel_dispersion': 0.0, 'adjacent_order_wavelength': 12.4, 'free_spectral_interval': 3.0999999999999996, 'normal_incidence': 62.0, 'thickness_from_line': 240.0})]}
for i, (record, expected) in enumerate(fixtures[N]):
    check('astronomical fixture %s' % i, solve(record), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
Boundary fixtureActualExpectedOutcome
astronomical fixture 0{'adjacent_order_wavelength': 24.0, 'channel_dispersion': 0.5, 'free_spectral_interval': 6.0, 'normal_incidence': 60.0, 'thickness_from_line': 7.5, 'wavelength': 31.5}{'adjacent_order_wavelength': 24.0, 'channel_dispersion': 0.5, 'free_spectral_interval': 6.0, 'normal_incidence': 60.0, 'thickness_from_line': 120.0, 'wavelength': 31.5}Failed
astronomical fixture 1{'adjacent_order_wavelength': 48.0, 'channel_dispersion': 1.0, 'free_spectral_interval': 12.0, 'normal_incidence': 60.0, 'thickness_from_line': 3.75, 'wavelength': 63.0}{'adjacent_order_wavelength': 48.0, 'channel_dispersion': 1.0, 'free_spectral_interval': 12.0, 'normal_incidence': 60.0, 'thickness_from_line': 60.0, 'wavelength': 63.0}Failed
astronomical fixture 2{'adjacent_order_wavelength': 24.0, 'channel_dispersion': 0.5, 'free_spectral_interval': 6.0, 'normal_incidence': 60.0, 'thickness_from_line': 7.5, 'wavelength': 30.0}{'adjacent_order_wavelength': 24.0, 'channel_dispersion': 0.5, 'free_spectral_interval': 6.0, 'normal_incidence': 60.0, 'thickness_from_line': 120.0, 'wavelength': 30.0}Failed
astronomical fixture 3{'adjacent_order_wavelength': 24.0, 'channel_dispersion': -0.5, 'free_spectral_interval': 6.0, 'normal_incidence': 60.0, 'thickness_from_line': 7.5, 'wavelength': 28.5}{'adjacent_order_wavelength': 24.0, 'channel_dispersion': -0.5, 'free_spectral_interval': 6.0, 'normal_incidence': 60.0, 'thickness_from_line': 120.0, 'wavelength': 28.5}Failed
astronomical fixture 4{'adjacent_order_wavelength': 60.0, 'channel_dispersion': 2.0, 'free_spectral_interval': 60.0, 'normal_incidence': 240.0, 'thickness_from_line': 30.0, 'wavelength': 126.0}{'adjacent_order_wavelength': 60.0, 'channel_dispersion': 2.0, 'free_spectral_interval': 60.0, 'normal_incidence': 240.0, 'thickness_from_line': 30.0, 'wavelength': 126.0}Passed
astronomical fixture 5{'adjacent_order_wavelength': 12.0, 'channel_dispersion': 0.0, 'free_spectral_interval': 3.0, 'normal_incidence': 60.0, 'thickness_from_line': 15.0, 'wavelength': 15.0}{'adjacent_order_wavelength': 12.0, 'channel_dispersion': 0.0, 'free_spectral_interval': 3.0, 'normal_incidence': 60.0, 'thickness_from_line': 240.0, 'wavelength': 15.0}Failed

SHA-256 / 89bfbe8355dda0cd3a05b9e6af213c68f410662e0d14814047798fedb02a2c65

HELD IN THE MEMBER ARCHIVE

The verified repair and its recorded checks are member-only.

This mechanism has 6 recorded checks per implementation. The open-access tier publishes the failure and the unsuccessful fix; the repaired source that passes every check, and the observations that prove it, are available to members.

Every case sharing this mechanism uses the same contract and the same repair, so this one record is held back for all of them.

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Verification & scope

Explicitly stipulated finite algebraic adapter; no standards conformance, physical accuracy, or production-library claim. Inputs are the documented finite valid model domain. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.

Observations recorded using Python 3.12.14 at 2026-09-29T14:46:04.420038+00:00.

Case digest / a4113bcd409eeb67aa74b505ab5ee4965f5ea58cc4b4de564a03e555eb9f17cf