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FA-55171 / Astronomical coordinate conventions / Open access

Phase center shift: Wide-field phase-center update drops the line-of-sight term · case 01

The adapter reports an incorrect delay cycles while other fields remain valid.

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

ROOT CAUSE

Wide-field phase-center update drops the line-of-sight term. Faulty expression: d['u']*d['l']+d['v']*d['m']

THE FAILURE

Wide-field phase-center update drops the line-of-sight term. Faulty expression: d['u']*d['l']+d['v']*d['m']

Unsuccessful approach: A partial convention repair still uses d['u']*d['l']+d['v']*d['m']-d['w']*d['dn']

Case contract

A stipulated small-field interferometer phase-center update supplies old uvw u,v,w and direction differences l,m,nminus1. Delay cycles are u*l+v*m+w*nminus1. Visibility represented by phase cycles subtracts this delay; image tangent reference and phase provenance change together. Output fields are defined by: delay_cycles = d['u']*d['l']+d['v']*d['m']+d['w']*d['dn']; shifted_phase = d['phase']-d['u']*d['l']-d['v']*d['m']-d['w']*d['dn']; reference_x = d['oldx']+d['l']; reference_y = d['oldy']+d['m']; inverse_delay = -d['u']*d['l']-d['v']*d['m']-d['w']*d['dn']; line_of_sight_direction = 1+d['dn']

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 {'delay_cycles': d['u']*d['l']+d['v']*d['m'], 'shifted_phase': d['phase']-d['u']*d['l']-d['v']*d['m']-d['w']*d['dn'], 'reference_x': d['oldx']+d['l'], 'reference_y': d['oldy']+d['m'], 'inverse_delay': -d['u']*d['l']-d['v']*d['m']-d['w']*d['dn'], 'line_of_sight_direction': 1+d['dn']}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = {1: [({'u': 3, 'v': 5, 'w': 7, 'l': 2, 'm': -1, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 8, 'shifted_phase': 2, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -8, 'line_of_sight_direction': 2}), ({'u': 3, 'v': 5, 'w': 7, 'l': 0, 'm': 0, 'dn': 0, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 0, 'shifted_phase': 10, 'reference_x': 20, 'reference_y': 30, 'inverse_delay': 0, 'line_of_sight_direction': 1}), ({'u': 3, 'v': 5, 'w': 0, 'l': 2, 'm': -1, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 1, 'shifted_phase': 9, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -1, 'line_of_sight_direction': 2}), ({'u': 3, 'v': 5, 'w': 7, 'l': 2, 'm': -1, 'dn': -2, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': -13, 'shifted_phase': 23, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': 13, 'line_of_sight_direction': -1}), ({'u': 3, 'v': 5, 'w': 7, 'l': -3, 'm': 4, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 18, 'shifted_phase': -8, 'reference_x': 17, 'reference_y': 34, 'inverse_delay': -18, 'line_of_sight_direction': 2}), ({'u': 3, 'v': 0, 'w': 7, 'l': 2, 'm': -1, 'dn': 1, 'phase': 0, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 13, 'shifted_phase': -13, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -13, 'line_of_sight_direction': 2})], 2: [({'u': 4, 'v': 5, 'w': 7, 'l': 2, 'm': -1, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 10, 'shifted_phase': 0, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -10, 'line_of_sight_direction': 2}), ({'u': 4, 'v': 5, 'w': 7, 'l': 0, 'm': 0, 'dn': 0, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 0, 'shifted_phase': 10, 'reference_x': 20, 'reference_y': 30, 'inverse_delay': 0, 'line_of_sight_direction': 1}), ({'u': 4, 'v': 5, 'w': 0, 'l': 2, 'm': -1, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 3, 'shifted_phase': 7, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -3, 'line_of_sight_direction': 2}), ({'u': 4, 'v': 5, 'w': 7, 'l': 2, 'm': -1, 'dn': -2, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': -11, 'shifted_phase': 21, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': 11, 'line_of_sight_direction': -1}), ({'u': 4, 'v': 5, 'w': 7, 'l': -3, 'm': 4, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 15, 'shifted_phase': -5, 'reference_x': 17, 'reference_y': 34, 'inverse_delay': -15, 'line_of_sight_direction': 2}), ({'u': 4, 'v': 0, 'w': 7, 'l': 2, 'm': -1, 'dn': 1, 'phase': 0, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 15, 'shifted_phase': -15, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -15, 'line_of_sight_direction': 2})], 3: [({'u': 5, 'v': 5, 'w': 7, 'l': 2, 'm': -1, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 12, 'shifted_phase': -2, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -12, 'line_of_sight_direction': 2}), ({'u': 5, 'v': 5, 'w': 7, 'l': 0, 'm': 0, 'dn': 0, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 0, 'shifted_phase': 10, 'reference_x': 20, 'reference_y': 30, 'inverse_delay': 0, 'line_of_sight_direction': 1}), ({'u': 5, 'v': 5, 'w': 0, 'l': 2, 'm': -1, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 5, 'shifted_phase': 5, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -5, 'line_of_sight_direction': 2}), ({'u': 5, 'v': 5, 'w': 7, 'l': 2, 'm': -1, 'dn': -2, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': -9, 'shifted_phase': 19, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': 9, 'line_of_sight_direction': -1}), ({'u': 5, 'v': 5, 'w': 7, 'l': -3, 'm': 4, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 12, 'shifted_phase': -2, 'reference_x': 17, 'reference_y': 34, 'inverse_delay': -12, 'line_of_sight_direction': 2}), ({'u': 5, 'v': 0, 'w': 7, 'l': 2, 'm': -1, 'dn': 1, 'phase': 0, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 17, 'shifted_phase': -17, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -17, 'line_of_sight_direction': 2})], 4: [({'u': 6, 'v': 5, 'w': 7, 'l': 2, 'm': -1, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 14, 'shifted_phase': -4, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -14, 'line_of_sight_direction': 2}), ({'u': 6, 'v': 5, 'w': 7, 'l': 0, 'm': 0, 'dn': 0, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 0, 'shifted_phase': 10, 'reference_x': 20, 'reference_y': 30, 'inverse_delay': 0, 'line_of_sight_direction': 1}), ({'u': 6, 'v': 5, 'w': 0, 'l': 2, 'm': -1, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 7, 'shifted_phase': 3, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -7, 'line_of_sight_direction': 2}), ({'u': 6, 'v': 5, 'w': 7, 'l': 2, 'm': -1, 'dn': -2, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': -7, 'shifted_phase': 17, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': 7, 'line_of_sight_direction': -1}), ({'u': 6, 'v': 5, 'w': 7, 'l': -3, 'm': 4, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 9, 'shifted_phase': 1, 'reference_x': 17, 'reference_y': 34, 'inverse_delay': -9, 'line_of_sight_direction': 2}), ({'u': 6, 'v': 0, 'w': 7, 'l': 2, 'm': -1, 'dn': 1, 'phase': 0, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 19, 'shifted_phase': -19, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -19, 'line_of_sight_direction': 2})], 5: [({'u': 7, 'v': 5, 'w': 7, 'l': 2, 'm': -1, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 16, 'shifted_phase': -6, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -16, 'line_of_sight_direction': 2}), ({'u': 7, 'v': 5, 'w': 7, 'l': 0, 'm': 0, 'dn': 0, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 0, 'shifted_phase': 10, 'reference_x': 20, 'reference_y': 30, 'inverse_delay': 0, 'line_of_sight_direction': 1}), ({'u': 7, 'v': 5, 'w': 0, 'l': 2, 'm': -1, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 9, 'shifted_phase': 1, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -9, 'line_of_sight_direction': 2}), ({'u': 7, 'v': 5, 'w': 7, 'l': 2, 'm': -1, 'dn': -2, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': -5, 'shifted_phase': 15, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': 5, 'line_of_sight_direction': -1}), ({'u': 7, 'v': 5, 'w': 7, 'l': -3, 'm': 4, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 6, 'shifted_phase': 4, 'reference_x': 17, 'reference_y': 34, 'inverse_delay': -6, 'line_of_sight_direction': 2}), ({'u': 7, 'v': 0, 'w': 7, 'l': 2, 'm': -1, 'dn': 1, 'phase': 0, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 21, 'shifted_phase': -21, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -21, 'line_of_sight_direction': 2})]}
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{'delay_cycles': 1, 'inverse_delay': -8, 'line_of_sight_direction': 2, 'reference_x': 22, 'reference_y': 29, 'shifted_phase': 2}{'delay_cycles': 8, 'inverse_delay': -8, 'line_of_sight_direction': 2, 'reference_x': 22, 'reference_y': 29, 'shifted_phase': 2}Failed
astronomical fixture 1{'delay_cycles': 0, 'inverse_delay': 0, 'line_of_sight_direction': 1, 'reference_x': 20, 'reference_y': 30, 'shifted_phase': 10}{'delay_cycles': 0, 'inverse_delay': 0, 'line_of_sight_direction': 1, 'reference_x': 20, 'reference_y': 30, 'shifted_phase': 10}Passed
astronomical fixture 2{'delay_cycles': 1, 'inverse_delay': -1, 'line_of_sight_direction': 2, 'reference_x': 22, 'reference_y': 29, 'shifted_phase': 9}{'delay_cycles': 1, 'inverse_delay': -1, 'line_of_sight_direction': 2, 'reference_x': 22, 'reference_y': 29, 'shifted_phase': 9}Passed
astronomical fixture 3{'delay_cycles': 1, 'inverse_delay': 13, 'line_of_sight_direction': -1, 'reference_x': 22, 'reference_y': 29, 'shifted_phase': 23}{'delay_cycles': -13, 'inverse_delay': 13, 'line_of_sight_direction': -1, 'reference_x': 22, 'reference_y': 29, 'shifted_phase': 23}Failed
astronomical fixture 4{'delay_cycles': 11, 'inverse_delay': -18, 'line_of_sight_direction': 2, 'reference_x': 17, 'reference_y': 34, 'shifted_phase': -8}{'delay_cycles': 18, 'inverse_delay': -18, 'line_of_sight_direction': 2, 'reference_x': 17, 'reference_y': 34, 'shifted_phase': -8}Failed
astronomical fixture 5{'delay_cycles': 6, 'inverse_delay': -13, 'line_of_sight_direction': 2, 'reference_x': 22, 'reference_y': 29, 'shifted_phase': -13}{'delay_cycles': 13, 'inverse_delay': -13, 'line_of_sight_direction': 2, 'reference_x': 22, 'reference_y': 29, 'shifted_phase': -13}Failed

SHA-256 / 660376d42666fad43bae68a0901c53f36c51b0d25caa40215e8e6ec721af3119

2 / The unsuccessful fix

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

N = 1
observations = []
def solve(d):
    return {'delay_cycles': d['u']*d['l']+d['v']*d['m']-d['w']*d['dn'], 'shifted_phase': d['phase']-d['u']*d['l']-d['v']*d['m']-d['w']*d['dn'], 'reference_x': d['oldx']+d['l'], 'reference_y': d['oldy']+d['m'], 'inverse_delay': -d['u']*d['l']-d['v']*d['m']-d['w']*d['dn'], 'line_of_sight_direction': 1+d['dn']}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = {1: [({'u': 3, 'v': 5, 'w': 7, 'l': 2, 'm': -1, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 8, 'shifted_phase': 2, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -8, 'line_of_sight_direction': 2}), ({'u': 3, 'v': 5, 'w': 7, 'l': 0, 'm': 0, 'dn': 0, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 0, 'shifted_phase': 10, 'reference_x': 20, 'reference_y': 30, 'inverse_delay': 0, 'line_of_sight_direction': 1}), ({'u': 3, 'v': 5, 'w': 0, 'l': 2, 'm': -1, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 1, 'shifted_phase': 9, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -1, 'line_of_sight_direction': 2}), ({'u': 3, 'v': 5, 'w': 7, 'l': 2, 'm': -1, 'dn': -2, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': -13, 'shifted_phase': 23, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': 13, 'line_of_sight_direction': -1}), ({'u': 3, 'v': 5, 'w': 7, 'l': -3, 'm': 4, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 18, 'shifted_phase': -8, 'reference_x': 17, 'reference_y': 34, 'inverse_delay': -18, 'line_of_sight_direction': 2}), ({'u': 3, 'v': 0, 'w': 7, 'l': 2, 'm': -1, 'dn': 1, 'phase': 0, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 13, 'shifted_phase': -13, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -13, 'line_of_sight_direction': 2})], 2: [({'u': 4, 'v': 5, 'w': 7, 'l': 2, 'm': -1, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 10, 'shifted_phase': 0, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -10, 'line_of_sight_direction': 2}), ({'u': 4, 'v': 5, 'w': 7, 'l': 0, 'm': 0, 'dn': 0, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 0, 'shifted_phase': 10, 'reference_x': 20, 'reference_y': 30, 'inverse_delay': 0, 'line_of_sight_direction': 1}), ({'u': 4, 'v': 5, 'w': 0, 'l': 2, 'm': -1, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 3, 'shifted_phase': 7, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -3, 'line_of_sight_direction': 2}), ({'u': 4, 'v': 5, 'w': 7, 'l': 2, 'm': -1, 'dn': -2, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': -11, 'shifted_phase': 21, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': 11, 'line_of_sight_direction': -1}), ({'u': 4, 'v': 5, 'w': 7, 'l': -3, 'm': 4, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 15, 'shifted_phase': -5, 'reference_x': 17, 'reference_y': 34, 'inverse_delay': -15, 'line_of_sight_direction': 2}), ({'u': 4, 'v': 0, 'w': 7, 'l': 2, 'm': -1, 'dn': 1, 'phase': 0, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 15, 'shifted_phase': -15, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -15, 'line_of_sight_direction': 2})], 3: [({'u': 5, 'v': 5, 'w': 7, 'l': 2, 'm': -1, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 12, 'shifted_phase': -2, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -12, 'line_of_sight_direction': 2}), ({'u': 5, 'v': 5, 'w': 7, 'l': 0, 'm': 0, 'dn': 0, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 0, 'shifted_phase': 10, 'reference_x': 20, 'reference_y': 30, 'inverse_delay': 0, 'line_of_sight_direction': 1}), ({'u': 5, 'v': 5, 'w': 0, 'l': 2, 'm': -1, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 5, 'shifted_phase': 5, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -5, 'line_of_sight_direction': 2}), ({'u': 5, 'v': 5, 'w': 7, 'l': 2, 'm': -1, 'dn': -2, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': -9, 'shifted_phase': 19, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': 9, 'line_of_sight_direction': -1}), ({'u': 5, 'v': 5, 'w': 7, 'l': -3, 'm': 4, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 12, 'shifted_phase': -2, 'reference_x': 17, 'reference_y': 34, 'inverse_delay': -12, 'line_of_sight_direction': 2}), ({'u': 5, 'v': 0, 'w': 7, 'l': 2, 'm': -1, 'dn': 1, 'phase': 0, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 17, 'shifted_phase': -17, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -17, 'line_of_sight_direction': 2})], 4: [({'u': 6, 'v': 5, 'w': 7, 'l': 2, 'm': -1, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 14, 'shifted_phase': -4, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -14, 'line_of_sight_direction': 2}), ({'u': 6, 'v': 5, 'w': 7, 'l': 0, 'm': 0, 'dn': 0, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 0, 'shifted_phase': 10, 'reference_x': 20, 'reference_y': 30, 'inverse_delay': 0, 'line_of_sight_direction': 1}), ({'u': 6, 'v': 5, 'w': 0, 'l': 2, 'm': -1, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 7, 'shifted_phase': 3, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -7, 'line_of_sight_direction': 2}), ({'u': 6, 'v': 5, 'w': 7, 'l': 2, 'm': -1, 'dn': -2, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': -7, 'shifted_phase': 17, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': 7, 'line_of_sight_direction': -1}), ({'u': 6, 'v': 5, 'w': 7, 'l': -3, 'm': 4, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 9, 'shifted_phase': 1, 'reference_x': 17, 'reference_y': 34, 'inverse_delay': -9, 'line_of_sight_direction': 2}), ({'u': 6, 'v': 0, 'w': 7, 'l': 2, 'm': -1, 'dn': 1, 'phase': 0, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 19, 'shifted_phase': -19, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -19, 'line_of_sight_direction': 2})], 5: [({'u': 7, 'v': 5, 'w': 7, 'l': 2, 'm': -1, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 16, 'shifted_phase': -6, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -16, 'line_of_sight_direction': 2}), ({'u': 7, 'v': 5, 'w': 7, 'l': 0, 'm': 0, 'dn': 0, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 0, 'shifted_phase': 10, 'reference_x': 20, 'reference_y': 30, 'inverse_delay': 0, 'line_of_sight_direction': 1}), ({'u': 7, 'v': 5, 'w': 0, 'l': 2, 'm': -1, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 9, 'shifted_phase': 1, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -9, 'line_of_sight_direction': 2}), ({'u': 7, 'v': 5, 'w': 7, 'l': 2, 'm': -1, 'dn': -2, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': -5, 'shifted_phase': 15, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': 5, 'line_of_sight_direction': -1}), ({'u': 7, 'v': 5, 'w': 7, 'l': -3, 'm': 4, 'dn': 1, 'phase': 10, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 6, 'shifted_phase': 4, 'reference_x': 17, 'reference_y': 34, 'inverse_delay': -6, 'line_of_sight_direction': 2}), ({'u': 7, 'v': 0, 'w': 7, 'l': 2, 'm': -1, 'dn': 1, 'phase': 0, 'oldx': 20, 'oldy': 30}, {'delay_cycles': 21, 'shifted_phase': -21, 'reference_x': 22, 'reference_y': 29, 'inverse_delay': -21, 'line_of_sight_direction': 2})]}
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{'delay_cycles': -6, 'inverse_delay': -8, 'line_of_sight_direction': 2, 'reference_x': 22, 'reference_y': 29, 'shifted_phase': 2}{'delay_cycles': 8, 'inverse_delay': -8, 'line_of_sight_direction': 2, 'reference_x': 22, 'reference_y': 29, 'shifted_phase': 2}Failed
astronomical fixture 1{'delay_cycles': 0, 'inverse_delay': 0, 'line_of_sight_direction': 1, 'reference_x': 20, 'reference_y': 30, 'shifted_phase': 10}{'delay_cycles': 0, 'inverse_delay': 0, 'line_of_sight_direction': 1, 'reference_x': 20, 'reference_y': 30, 'shifted_phase': 10}Passed
astronomical fixture 2{'delay_cycles': 1, 'inverse_delay': -1, 'line_of_sight_direction': 2, 'reference_x': 22, 'reference_y': 29, 'shifted_phase': 9}{'delay_cycles': 1, 'inverse_delay': -1, 'line_of_sight_direction': 2, 'reference_x': 22, 'reference_y': 29, 'shifted_phase': 9}Passed
astronomical fixture 3{'delay_cycles': 15, 'inverse_delay': 13, 'line_of_sight_direction': -1, 'reference_x': 22, 'reference_y': 29, 'shifted_phase': 23}{'delay_cycles': -13, 'inverse_delay': 13, 'line_of_sight_direction': -1, 'reference_x': 22, 'reference_y': 29, 'shifted_phase': 23}Failed
astronomical fixture 4{'delay_cycles': 4, 'inverse_delay': -18, 'line_of_sight_direction': 2, 'reference_x': 17, 'reference_y': 34, 'shifted_phase': -8}{'delay_cycles': 18, 'inverse_delay': -18, 'line_of_sight_direction': 2, 'reference_x': 17, 'reference_y': 34, 'shifted_phase': -8}Failed
astronomical fixture 5{'delay_cycles': -1, 'inverse_delay': -13, 'line_of_sight_direction': 2, 'reference_x': 22, 'reference_y': 29, 'shifted_phase': -13}{'delay_cycles': 13, 'inverse_delay': -13, 'line_of_sight_direction': 2, 'reference_x': 22, 'reference_y': 29, 'shifted_phase': -13}Failed

SHA-256 / 84e1a585bf6f96b8a617977abf741cb57a6fe53a81f07a205a2444abad35d82b

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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.

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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 2026-09-29T14:45:55.479263+00:00.

Case digest / 09b79aba6eeb081c4981841acc7fbc12d397f90af14882670395487b06cd5b8b