{"abstract":"The adapter reports an incorrect inverse q while other fields remain valid.","category":"Astronomical coordinate conventions","checks":6,"contract":"Stokes Q,U rotate from instrument to sky with supplied c=cos(2theta),s=sin(2theta), so Qsky=cQ-sU and Usky=sQ+cU. Instrument mirror reverses U and V; I stays invariant. This model accepts exact supplied trigonometric values and does not infer astronomical angle zero points. Output fields are defined by: sky_q = d['c']*d['Q']-d['s']*d['U']; sky_u = d['s']*d['Q']+d['c']*d['U']; mirror_u = -d['U'] if d['mirror'] else d['U']; mirror_v = -d['V'] if d['mirror'] else d['V']; linear_power = d['Q']**2+d['U']**2; inverse_q = d['c']*d['Q']+d['s']*d['U']","evaluation_group":"astro-polarization-sky-position-angle","failed_approach":"A partial convention repair still uses d['s']*d['Q']+d['c']*d['U']","family":"s3-astronomical-coordinate-conventions-polarization-sky-position-angle-inverse_q","id":"FA-55856","implementations":{"attempt":{"sha256":"571c0038d30ba52ef0694f40c5d9787c6b566ad33570052a5a4ca99f4b65d863","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(d):\n    return {'sky_q': d['c']*d['Q']-d['s']*d['U'], 'sky_u': d['s']*d['Q']+d['c']*d['U'], 'mirror_u': -d['U'] if d['mirror'] else d['U'], 'mirror_v': -d['V'] if d['mirror'] else d['V'], 'linear_power': d['Q']**2+d['U']**2, 'inverse_q': d['s']*d['Q']+d['c']*d['U']}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = {1: [({'Q': 3, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': -5, 'sky_u': 3, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 34, 'inverse_q': 5}), ({'Q': 3, 'U': 5, 'V': 2, 'I': 20, 'c': 1, 's': 0, 'mirror': True}, {'sky_q': 3, 'sky_u': 5, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 34, 'inverse_q': 3}), ({'Q': 3, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': -1, 'mirror': True}, {'sky_q': 5, 'sky_u': -3, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 34, 'inverse_q': -5}), ({'Q': 3, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': False}, {'sky_q': -5, 'sky_u': 3, 'mirror_u': 5, 'mirror_v': 2, 'linear_power': 34, 'inverse_q': 5}), ({'Q': 0, 'U': 0, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 0, 'sky_u': 0, 'mirror_u': 0, 'mirror_v': -2, 'linear_power': 0, 'inverse_q': 0}), ({'Q': 3, 'U': -3, 'V': -2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 3, 'sky_u': 3, 'mirror_u': 3, 'mirror_v': 2, 'linear_power': 18, 'inverse_q': -3})], 2: [({'Q': 4, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': -5, 'sky_u': 4, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 41, 'inverse_q': 5}), ({'Q': 4, 'U': 5, 'V': 2, 'I': 20, 'c': 1, 's': 0, 'mirror': True}, {'sky_q': 4, 'sky_u': 5, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 41, 'inverse_q': 4}), ({'Q': 4, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': -1, 'mirror': True}, {'sky_q': 5, 'sky_u': -4, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 41, 'inverse_q': -5}), ({'Q': 4, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': False}, {'sky_q': -5, 'sky_u': 4, 'mirror_u': 5, 'mirror_v': 2, 'linear_power': 41, 'inverse_q': 5}), ({'Q': 1, 'U': 0, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 0, 'sky_u': 1, 'mirror_u': 0, 'mirror_v': -2, 'linear_power': 1, 'inverse_q': 0}), ({'Q': 4, 'U': -3, 'V': -2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 3, 'sky_u': 4, 'mirror_u': 3, 'mirror_v': 2, 'linear_power': 25, 'inverse_q': -3})], 3: [({'Q': 5, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': -5, 'sky_u': 5, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 50, 'inverse_q': 5}), ({'Q': 5, 'U': 5, 'V': 2, 'I': 20, 'c': 1, 's': 0, 'mirror': True}, {'sky_q': 5, 'sky_u': 5, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 50, 'inverse_q': 5}), ({'Q': 5, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': -1, 'mirror': True}, {'sky_q': 5, 'sky_u': -5, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 50, 'inverse_q': -5}), ({'Q': 5, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': False}, {'sky_q': -5, 'sky_u': 5, 'mirror_u': 5, 'mirror_v': 2, 'linear_power': 50, 'inverse_q': 5}), ({'Q': 2, 'U': 0, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 0, 'sky_u': 2, 'mirror_u': 0, 'mirror_v': -2, 'linear_power': 4, 'inverse_q': 0}), ({'Q': 5, 'U': -3, 'V': -2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 3, 'sky_u': 5, 'mirror_u': 3, 'mirror_v': 2, 'linear_power': 34, 'inverse_q': -3})], 4: [({'Q': 6, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': -5, 'sky_u': 6, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 61, 'inverse_q': 5}), ({'Q': 6, 'U': 5, 'V': 2, 'I': 20, 'c': 1, 's': 0, 'mirror': True}, {'sky_q': 6, 'sky_u': 5, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 61, 'inverse_q': 6}), ({'Q': 6, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': -1, 'mirror': True}, {'sky_q': 5, 'sky_u': -6, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 61, 'inverse_q': -5}), ({'Q': 6, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': False}, {'sky_q': -5, 'sky_u': 6, 'mirror_u': 5, 'mirror_v': 2, 'linear_power': 61, 'inverse_q': 5}), ({'Q': 3, 'U': 0, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 0, 'sky_u': 3, 'mirror_u': 0, 'mirror_v': -2, 'linear_power': 9, 'inverse_q': 0}), ({'Q': 6, 'U': -3, 'V': -2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 3, 'sky_u': 6, 'mirror_u': 3, 'mirror_v': 2, 'linear_power': 45, 'inverse_q': -3})], 5: [({'Q': 7, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': -5, 'sky_u': 7, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 74, 'inverse_q': 5}), ({'Q': 7, 'U': 5, 'V': 2, 'I': 20, 'c': 1, 's': 0, 'mirror': True}, {'sky_q': 7, 'sky_u': 5, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 74, 'inverse_q': 7}), ({'Q': 7, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': -1, 'mirror': True}, {'sky_q': 5, 'sky_u': -7, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 74, 'inverse_q': -5}), ({'Q': 7, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': False}, {'sky_q': -5, 'sky_u': 7, 'mirror_u': 5, 'mirror_v': 2, 'linear_power': 74, 'inverse_q': 5}), ({'Q': 4, 'U': 0, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 0, 'sky_u': 4, 'mirror_u': 0, 'mirror_v': -2, 'linear_power': 16, 'inverse_q': 0}), ({'Q': 7, 'U': -3, 'V': -2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 3, 'sky_u': 7, 'mirror_u': 3, 'mirror_v': 2, 'linear_power': 58, 'inverse_q': -3})]}\nfor i, (record, expected) in enumerate(fixtures[N]):\n    check('astronomical fixture %s' % i, solve(record), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"broken":{"sha256":"813fe588aaf579f876ca612d0a95036ff86de1b56357d3fe3f847c97bc1a9ef9","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(d):\n    return {'sky_q': d['c']*d['Q']-d['s']*d['U'], 'sky_u': d['s']*d['Q']+d['c']*d['U'], 'mirror_u': -d['U'] if d['mirror'] else d['U'], 'mirror_v': -d['V'] if d['mirror'] else d['V'], 'linear_power': d['Q']**2+d['U']**2, 'inverse_q': d['c']*d['Q']-d['s']*d['U']}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = {1: [({'Q': 3, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': -5, 'sky_u': 3, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 34, 'inverse_q': 5}), ({'Q': 3, 'U': 5, 'V': 2, 'I': 20, 'c': 1, 's': 0, 'mirror': True}, {'sky_q': 3, 'sky_u': 5, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 34, 'inverse_q': 3}), ({'Q': 3, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': -1, 'mirror': True}, {'sky_q': 5, 'sky_u': -3, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 34, 'inverse_q': -5}), ({'Q': 3, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': False}, {'sky_q': -5, 'sky_u': 3, 'mirror_u': 5, 'mirror_v': 2, 'linear_power': 34, 'inverse_q': 5}), ({'Q': 0, 'U': 0, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 0, 'sky_u': 0, 'mirror_u': 0, 'mirror_v': -2, 'linear_power': 0, 'inverse_q': 0}), ({'Q': 3, 'U': -3, 'V': -2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 3, 'sky_u': 3, 'mirror_u': 3, 'mirror_v': 2, 'linear_power': 18, 'inverse_q': -3})], 2: [({'Q': 4, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': -5, 'sky_u': 4, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 41, 'inverse_q': 5}), ({'Q': 4, 'U': 5, 'V': 2, 'I': 20, 'c': 1, 's': 0, 'mirror': True}, {'sky_q': 4, 'sky_u': 5, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 41, 'inverse_q': 4}), ({'Q': 4, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': -1, 'mirror': True}, {'sky_q': 5, 'sky_u': -4, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 41, 'inverse_q': -5}), ({'Q': 4, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': False}, {'sky_q': -5, 'sky_u': 4, 'mirror_u': 5, 'mirror_v': 2, 'linear_power': 41, 'inverse_q': 5}), ({'Q': 1, 'U': 0, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 0, 'sky_u': 1, 'mirror_u': 0, 'mirror_v': -2, 'linear_power': 1, 'inverse_q': 0}), ({'Q': 4, 'U': -3, 'V': -2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 3, 'sky_u': 4, 'mirror_u': 3, 'mirror_v': 2, 'linear_power': 25, 'inverse_q': -3})], 3: [({'Q': 5, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': -5, 'sky_u': 5, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 50, 'inverse_q': 5}), ({'Q': 5, 'U': 5, 'V': 2, 'I': 20, 'c': 1, 's': 0, 'mirror': True}, {'sky_q': 5, 'sky_u': 5, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 50, 'inverse_q': 5}), ({'Q': 5, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': -1, 'mirror': True}, {'sky_q': 5, 'sky_u': -5, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 50, 'inverse_q': -5}), ({'Q': 5, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': False}, {'sky_q': -5, 'sky_u': 5, 'mirror_u': 5, 'mirror_v': 2, 'linear_power': 50, 'inverse_q': 5}), ({'Q': 2, 'U': 0, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 0, 'sky_u': 2, 'mirror_u': 0, 'mirror_v': -2, 'linear_power': 4, 'inverse_q': 0}), ({'Q': 5, 'U': -3, 'V': -2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 3, 'sky_u': 5, 'mirror_u': 3, 'mirror_v': 2, 'linear_power': 34, 'inverse_q': -3})], 4: [({'Q': 6, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': -5, 'sky_u': 6, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 61, 'inverse_q': 5}), ({'Q': 6, 'U': 5, 'V': 2, 'I': 20, 'c': 1, 's': 0, 'mirror': True}, {'sky_q': 6, 'sky_u': 5, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 61, 'inverse_q': 6}), ({'Q': 6, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': -1, 'mirror': True}, {'sky_q': 5, 'sky_u': -6, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 61, 'inverse_q': -5}), ({'Q': 6, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': False}, {'sky_q': -5, 'sky_u': 6, 'mirror_u': 5, 'mirror_v': 2, 'linear_power': 61, 'inverse_q': 5}), ({'Q': 3, 'U': 0, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 0, 'sky_u': 3, 'mirror_u': 0, 'mirror_v': -2, 'linear_power': 9, 'inverse_q': 0}), ({'Q': 6, 'U': -3, 'V': -2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 3, 'sky_u': 6, 'mirror_u': 3, 'mirror_v': 2, 'linear_power': 45, 'inverse_q': -3})], 5: [({'Q': 7, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': -5, 'sky_u': 7, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 74, 'inverse_q': 5}), ({'Q': 7, 'U': 5, 'V': 2, 'I': 20, 'c': 1, 's': 0, 'mirror': True}, {'sky_q': 7, 'sky_u': 5, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 74, 'inverse_q': 7}), ({'Q': 7, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': -1, 'mirror': True}, {'sky_q': 5, 'sky_u': -7, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 74, 'inverse_q': -5}), ({'Q': 7, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': False}, {'sky_q': -5, 'sky_u': 7, 'mirror_u': 5, 'mirror_v': 2, 'linear_power': 74, 'inverse_q': 5}), ({'Q': 4, 'U': 0, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 0, 'sky_u': 4, 'mirror_u': 0, 'mirror_v': -2, 'linear_power': 16, 'inverse_q': 0}), ({'Q': 7, 'U': -3, 'V': -2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 3, 'sky_u': 7, 'mirror_u': 3, 'mirror_v': 2, 'linear_power': 58, 'inverse_q': -3})]}\nfor i, (record, expected) in enumerate(fixtures[N]):\n    check('astronomical fixture %s' % i, solve(record), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"fixed":{"sha256":"4a28fb175f463b27848a789e4161743149251237d929e14d72838e7c0dd23f07","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(d):\n    return {'sky_q': d['c']*d['Q']-d['s']*d['U'], 'sky_u': d['s']*d['Q']+d['c']*d['U'], 'mirror_u': -d['U'] if d['mirror'] else d['U'], 'mirror_v': -d['V'] if d['mirror'] else d['V'], 'linear_power': d['Q']**2+d['U']**2, 'inverse_q': d['c']*d['Q']+d['s']*d['U']}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = {1: [({'Q': 3, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': -5, 'sky_u': 3, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 34, 'inverse_q': 5}), ({'Q': 3, 'U': 5, 'V': 2, 'I': 20, 'c': 1, 's': 0, 'mirror': True}, {'sky_q': 3, 'sky_u': 5, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 34, 'inverse_q': 3}), ({'Q': 3, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': -1, 'mirror': True}, {'sky_q': 5, 'sky_u': -3, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 34, 'inverse_q': -5}), ({'Q': 3, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': False}, {'sky_q': -5, 'sky_u': 3, 'mirror_u': 5, 'mirror_v': 2, 'linear_power': 34, 'inverse_q': 5}), ({'Q': 0, 'U': 0, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 0, 'sky_u': 0, 'mirror_u': 0, 'mirror_v': -2, 'linear_power': 0, 'inverse_q': 0}), ({'Q': 3, 'U': -3, 'V': -2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 3, 'sky_u': 3, 'mirror_u': 3, 'mirror_v': 2, 'linear_power': 18, 'inverse_q': -3})], 2: [({'Q': 4, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': -5, 'sky_u': 4, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 41, 'inverse_q': 5}), ({'Q': 4, 'U': 5, 'V': 2, 'I': 20, 'c': 1, 's': 0, 'mirror': True}, {'sky_q': 4, 'sky_u': 5, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 41, 'inverse_q': 4}), ({'Q': 4, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': -1, 'mirror': True}, {'sky_q': 5, 'sky_u': -4, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 41, 'inverse_q': -5}), ({'Q': 4, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': False}, {'sky_q': -5, 'sky_u': 4, 'mirror_u': 5, 'mirror_v': 2, 'linear_power': 41, 'inverse_q': 5}), ({'Q': 1, 'U': 0, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 0, 'sky_u': 1, 'mirror_u': 0, 'mirror_v': -2, 'linear_power': 1, 'inverse_q': 0}), ({'Q': 4, 'U': -3, 'V': -2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 3, 'sky_u': 4, 'mirror_u': 3, 'mirror_v': 2, 'linear_power': 25, 'inverse_q': -3})], 3: [({'Q': 5, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': -5, 'sky_u': 5, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 50, 'inverse_q': 5}), ({'Q': 5, 'U': 5, 'V': 2, 'I': 20, 'c': 1, 's': 0, 'mirror': True}, {'sky_q': 5, 'sky_u': 5, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 50, 'inverse_q': 5}), ({'Q': 5, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': -1, 'mirror': True}, {'sky_q': 5, 'sky_u': -5, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 50, 'inverse_q': -5}), ({'Q': 5, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': False}, {'sky_q': -5, 'sky_u': 5, 'mirror_u': 5, 'mirror_v': 2, 'linear_power': 50, 'inverse_q': 5}), ({'Q': 2, 'U': 0, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 0, 'sky_u': 2, 'mirror_u': 0, 'mirror_v': -2, 'linear_power': 4, 'inverse_q': 0}), ({'Q': 5, 'U': -3, 'V': -2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 3, 'sky_u': 5, 'mirror_u': 3, 'mirror_v': 2, 'linear_power': 34, 'inverse_q': -3})], 4: [({'Q': 6, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': -5, 'sky_u': 6, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 61, 'inverse_q': 5}), ({'Q': 6, 'U': 5, 'V': 2, 'I': 20, 'c': 1, 's': 0, 'mirror': True}, {'sky_q': 6, 'sky_u': 5, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 61, 'inverse_q': 6}), ({'Q': 6, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': -1, 'mirror': True}, {'sky_q': 5, 'sky_u': -6, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 61, 'inverse_q': -5}), ({'Q': 6, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': False}, {'sky_q': -5, 'sky_u': 6, 'mirror_u': 5, 'mirror_v': 2, 'linear_power': 61, 'inverse_q': 5}), ({'Q': 3, 'U': 0, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 0, 'sky_u': 3, 'mirror_u': 0, 'mirror_v': -2, 'linear_power': 9, 'inverse_q': 0}), ({'Q': 6, 'U': -3, 'V': -2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 3, 'sky_u': 6, 'mirror_u': 3, 'mirror_v': 2, 'linear_power': 45, 'inverse_q': -3})], 5: [({'Q': 7, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': -5, 'sky_u': 7, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 74, 'inverse_q': 5}), ({'Q': 7, 'U': 5, 'V': 2, 'I': 20, 'c': 1, 's': 0, 'mirror': True}, {'sky_q': 7, 'sky_u': 5, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 74, 'inverse_q': 7}), ({'Q': 7, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': -1, 'mirror': True}, {'sky_q': 5, 'sky_u': -7, 'mirror_u': -5, 'mirror_v': -2, 'linear_power': 74, 'inverse_q': -5}), ({'Q': 7, 'U': 5, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': False}, {'sky_q': -5, 'sky_u': 7, 'mirror_u': 5, 'mirror_v': 2, 'linear_power': 74, 'inverse_q': 5}), ({'Q': 4, 'U': 0, 'V': 2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 0, 'sky_u': 4, 'mirror_u': 0, 'mirror_v': -2, 'linear_power': 16, 'inverse_q': 0}), ({'Q': 7, 'U': -3, 'V': -2, 'I': 20, 'c': 0, 's': 1, 'mirror': True}, {'sky_q': 3, 'sky_u': 7, 'mirror_u': 3, 'mirror_v': 2, 'linear_power': 58, 'inverse_q': -3})]}\nfor i, (record, expected) in enumerate(fixtures[N]):\n    check('astronomical fixture %s' % i, solve(record), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"}},"limitations":"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.","method":"Deterministic executable model with adversarial boundary fixtures.","provenance":{"created_by":"Failure Map","dependencies":"Python standard library","family":"s3-astronomical-coordinate-conventions-polarization-sky-position-angle-inverse_q","generated_at":"2026-09-29T14:46:01.756515+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Catalog, detector, sky-coordinate, and spectroscopy adapters must preserve the association between numeric coordinates and their declared reference conventions.","repair":"Preserve the declared model convention at this site: d['c']*d['Q']+d['s']*d['U']","root_cause":"Inverse sky polarization rotation repeats the forward spin-two transform. Faulty expression: d['c']*d['Q']-d['s']*d['U']","sha256":"88c998abd073d233374b221f1c4a1a3129a5e7602587e3fd129e4ce9384bbd4c","title":"Polarization sky position angle: Inverse sky polarization rotation repeats the forward spin-two transform · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":43.563,"exit_code":1,"observations":[{"actual":{"inverse_q":3,"linear_power":34,"mirror_u":-5,"mirror_v":-2,"sky_q":-5,"sky_u":3},"check":"astronomical fixture 0","expected":{"inverse_q":5,"linear_power":34,"mirror_u":-5,"mirror_v":-2,"sky_q":-5,"sky_u":3},"passed":false},{"actual":{"inverse_q":5,"linear_power":34,"mirror_u":-5,"mirror_v":-2,"sky_q":3,"sky_u":5},"check":"astronomical fixture 1","expected":{"inverse_q":3,"linear_power":34,"mirror_u":-5,"mirror_v":-2,"sky_q":3,"sky_u":5},"passed":false},{"actual":{"inverse_q":-3,"linear_power":34,"mirror_u":-5,"mirror_v":-2,"sky_q":5,"sky_u":-3},"check":"astronomical fixture 2","expected":{"inverse_q":-5,"linear_power":34,"mirror_u":-5,"mirror_v":-2,"sky_q":5,"sky_u":-3},"passed":false},{"actual":{"inverse_q":3,"linear_power":34,"mirror_u":5,"mirror_v":2,"sky_q":-5,"sky_u":3},"check":"astronomical fixture 3","expected":{"inverse_q":5,"linear_power":34,"mirror_u":5,"mirror_v":2,"sky_q":-5,"sky_u":3},"passed":false},{"actual":{"inverse_q":0,"linear_power":0,"mirror_u":0,"mirror_v":-2,"sky_q":0,"sky_u":0},"check":"astronomical fixture 4","expected":{"inverse_q":0,"linear_power":0,"mirror_u":0,"mirror_v":-2,"sky_q":0,"sky_u":0},"passed":true},{"actual":{"inverse_q":3,"linear_power":18,"mirror_u":3,"mirror_v":2,"sky_q":3,"sky_u":3},"check":"astronomical fixture 5","expected":{"inverse_q":-3,"linear_power":18,"mirror_u":3,"mirror_v":2,"sky_q":3,"sky_u":3},"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"astronomical fixture 0\", \"actual\": {\"sky_q\": -5, \"sky_u\": 3, \"mirror_u\": -5, \"mirror_v\": -2, \"linear_power\": 34, \"inverse_q\": 3}, \"expected\": {\"sky_q\": -5, \"sky_u\": 3, \"mirror_u\": -5, \"mirror_v\": -2, \"linear_power\": 34, \"inverse_q\": 5}, \"passed\": false}, {\"check\": \"astronomical fixture 1\", \"actual\": {\"sky_q\": 3, \"sky_u\": 5, \"mirror_u\": -5, \"mirror_v\": -2, \"linear_power\": 34, \"inverse_q\": 5}, \"expected\": {\"sky_q\": 3, \"sky_u\": 5, \"mirror_u\": -5, \"mirror_v\": -2, \"linear_power\": 34, \"inverse_q\": 3}, \"passed\": false}, {\"check\": \"astronomical fixture 2\", \"actual\": {\"sky_q\": 5, \"sky_u\": -3, \"mirror_u\": -5, \"mirror_v\": -2, \"linear_power\": 34, \"inverse_q\": -3}, \"expected\": {\"sky_q\": 5, \"sky_u\": -3, \"mirror_u\": -5, \"mirror_v\": -2, \"linear_power\": 34, \"inverse_q\": -5}, \"passed\": false}, {\"check\": \"astronomical fixture 3\", \"actual\": {\"sky_q\": -5, \"sky_u\": 3, \"mirror_u\": 5, \"mirror_v\": 2, \"linear_power\": 34, \"inverse_q\": 3}, \"expected\": {\"sky_q\": -5, \"sky_u\": 3, \"mirror_u\": 5, \"mirror_v\": 2, \"linear_power\": 34, \"inverse_q\": 5}, \"passed\": false}, {\"check\": \"astronomical fixture 4\", \"actual\": {\"sky_q\": 0, \"sky_u\": 0, \"mirror_u\": 0, \"mirror_v\": -2, \"linear_power\": 0, \"inverse_q\": 0}, \"expected\": {\"sky_q\": 0, \"sky_u\": 0, \"mirror_u\": 0, \"mirror_v\": -2, \"linear_power\": 0, \"inverse_q\": 0}, \"passed\": true}, {\"check\": \"astronomical fixture 5\", \"actual\": {\"sky_q\": 3, \"sky_u\": 3, \"mirror_u\": 3, \"mirror_v\": 2, \"linear_power\": 18, \"inverse_q\": 3}, \"expected\": {\"sky_q\": 3, \"sky_u\": 3, \"mirror_u\": 3, \"mirror_v\": 2, \"linear_power\": 18, \"inverse_q\": -3}, \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":38.654,"exit_code":1,"observations":[{"actual":{"inverse_q":-5,"linear_power":34,"mirror_u":-5,"mirror_v":-2,"sky_q":-5,"sky_u":3},"check":"astronomical fixture 0","expected":{"inverse_q":5,"linear_power":34,"mirror_u":-5,"mirror_v":-2,"sky_q":-5,"sky_u":3},"passed":false},{"actual":{"inverse_q":3,"linear_power":34,"mirror_u":-5,"mirror_v":-2,"sky_q":3,"sky_u":5},"check":"astronomical fixture 1","expected":{"inverse_q":3,"linear_power":34,"mirror_u":-5,"mirror_v":-2,"sky_q":3,"sky_u":5},"passed":true},{"actual":{"inverse_q":5,"linear_power":34,"mirror_u":-5,"mirror_v":-2,"sky_q":5,"sky_u":-3},"check":"astronomical fixture 2","expected":{"inverse_q":-5,"linear_power":34,"mirror_u":-5,"mirror_v":-2,"sky_q":5,"sky_u":-3},"passed":false},{"actual":{"inverse_q":-5,"linear_power":34,"mirror_u":5,"mirror_v":2,"sky_q":-5,"sky_u":3},"check":"astronomical fixture 3","expected":{"inverse_q":5,"linear_power":34,"mirror_u":5,"mirror_v":2,"sky_q":-5,"sky_u":3},"passed":false},{"actual":{"inverse_q":0,"linear_power":0,"mirror_u":0,"mirror_v":-2,"sky_q":0,"sky_u":0},"check":"astronomical fixture 4","expected":{"inverse_q":0,"linear_power":0,"mirror_u":0,"mirror_v":-2,"sky_q":0,"sky_u":0},"passed":true},{"actual":{"inverse_q":3,"linear_power":18,"mirror_u":3,"mirror_v":2,"sky_q":3,"sky_u":3},"check":"astronomical fixture 5","expected":{"inverse_q":-3,"linear_power":18,"mirror_u":3,"mirror_v":2,"sky_q":3,"sky_u":3},"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"astronomical fixture 0\", \"actual\": {\"sky_q\": -5, \"sky_u\": 3, \"mirror_u\": -5, \"mirror_v\": -2, \"linear_power\": 34, \"inverse_q\": -5}, \"expected\": {\"sky_q\": -5, \"sky_u\": 3, \"mirror_u\": -5, \"mirror_v\": -2, \"linear_power\": 34, \"inverse_q\": 5}, \"passed\": false}, {\"check\": \"astronomical fixture 1\", \"actual\": {\"sky_q\": 3, \"sky_u\": 5, \"mirror_u\": -5, \"mirror_v\": -2, \"linear_power\": 34, \"inverse_q\": 3}, \"expected\": {\"sky_q\": 3, \"sky_u\": 5, \"mirror_u\": -5, \"mirror_v\": -2, \"linear_power\": 34, \"inverse_q\": 3}, \"passed\": true}, {\"check\": \"astronomical fixture 2\", \"actual\": {\"sky_q\": 5, \"sky_u\": -3, \"mirror_u\": -5, \"mirror_v\": -2, \"linear_power\": 34, \"inverse_q\": 5}, \"expected\": {\"sky_q\": 5, \"sky_u\": -3, \"mirror_u\": -5, \"mirror_v\": -2, \"linear_power\": 34, \"inverse_q\": -5}, \"passed\": false}, {\"check\": \"astronomical fixture 3\", \"actual\": {\"sky_q\": -5, \"sky_u\": 3, \"mirror_u\": 5, \"mirror_v\": 2, \"linear_power\": 34, \"inverse_q\": -5}, \"expected\": {\"sky_q\": -5, \"sky_u\": 3, \"mirror_u\": 5, \"mirror_v\": 2, \"linear_power\": 34, \"inverse_q\": 5}, \"passed\": false}, {\"check\": \"astronomical fixture 4\", \"actual\": {\"sky_q\": 0, \"sky_u\": 0, \"mirror_u\": 0, \"mirror_v\": -2, \"linear_power\": 0, \"inverse_q\": 0}, \"expected\": {\"sky_q\": 0, \"sky_u\": 0, \"mirror_u\": 0, \"mirror_v\": -2, \"linear_power\": 0, \"inverse_q\": 0}, \"passed\": true}, {\"check\": \"astronomical fixture 5\", \"actual\": {\"sky_q\": 3, \"sky_u\": 3, \"mirror_u\": 3, \"mirror_v\": 2, \"linear_power\": 18, \"inverse_q\": 3}, \"expected\": {\"sky_q\": 3, \"sky_u\": 3, \"mirror_u\": 3, \"mirror_v\": 2, \"linear_power\": 18, \"inverse_q\": -3}, \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":39.045,"exit_code":0,"observations":[{"actual":{"inverse_q":5,"linear_power":34,"mirror_u":-5,"mirror_v":-2,"sky_q":-5,"sky_u":3},"check":"astronomical fixture 0","expected":{"inverse_q":5,"linear_power":34,"mirror_u":-5,"mirror_v":-2,"sky_q":-5,"sky_u":3},"passed":true},{"actual":{"inverse_q":3,"linear_power":34,"mirror_u":-5,"mirror_v":-2,"sky_q":3,"sky_u":5},"check":"astronomical fixture 1","expected":{"inverse_q":3,"linear_power":34,"mirror_u":-5,"mirror_v":-2,"sky_q":3,"sky_u":5},"passed":true},{"actual":{"inverse_q":-5,"linear_power":34,"mirror_u":-5,"mirror_v":-2,"sky_q":5,"sky_u":-3},"check":"astronomical fixture 2","expected":{"inverse_q":-5,"linear_power":34,"mirror_u":-5,"mirror_v":-2,"sky_q":5,"sky_u":-3},"passed":true},{"actual":{"inverse_q":5,"linear_power":34,"mirror_u":5,"mirror_v":2,"sky_q":-5,"sky_u":3},"check":"astronomical fixture 3","expected":{"inverse_q":5,"linear_power":34,"mirror_u":5,"mirror_v":2,"sky_q":-5,"sky_u":3},"passed":true},{"actual":{"inverse_q":0,"linear_power":0,"mirror_u":0,"mirror_v":-2,"sky_q":0,"sky_u":0},"check":"astronomical fixture 4","expected":{"inverse_q":0,"linear_power":0,"mirror_u":0,"mirror_v":-2,"sky_q":0,"sky_u":0},"passed":true},{"actual":{"inverse_q":-3,"linear_power":18,"mirror_u":3,"mirror_v":2,"sky_q":3,"sky_u":3},"check":"astronomical fixture 5","expected":{"inverse_q":-3,"linear_power":18,"mirror_u":3,"mirror_v":2,"sky_q":3,"sky_u":3},"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"astronomical fixture 0\", \"actual\": {\"sky_q\": -5, \"sky_u\": 3, \"mirror_u\": -5, \"mirror_v\": -2, \"linear_power\": 34, \"inverse_q\": 5}, \"expected\": {\"sky_q\": -5, \"sky_u\": 3, \"mirror_u\": -5, \"mirror_v\": -2, \"linear_power\": 34, \"inverse_q\": 5}, \"passed\": true}, {\"check\": \"astronomical fixture 1\", \"actual\": {\"sky_q\": 3, \"sky_u\": 5, \"mirror_u\": -5, \"mirror_v\": -2, \"linear_power\": 34, \"inverse_q\": 3}, \"expected\": {\"sky_q\": 3, \"sky_u\": 5, \"mirror_u\": -5, \"mirror_v\": -2, \"linear_power\": 34, \"inverse_q\": 3}, \"passed\": true}, {\"check\": \"astronomical fixture 2\", \"actual\": {\"sky_q\": 5, \"sky_u\": -3, \"mirror_u\": -5, \"mirror_v\": -2, \"linear_power\": 34, \"inverse_q\": -5}, \"expected\": {\"sky_q\": 5, \"sky_u\": -3, \"mirror_u\": -5, \"mirror_v\": -2, \"linear_power\": 34, \"inverse_q\": -5}, \"passed\": true}, {\"check\": \"astronomical fixture 3\", \"actual\": {\"sky_q\": -5, \"sky_u\": 3, \"mirror_u\": 5, \"mirror_v\": 2, \"linear_power\": 34, \"inverse_q\": 5}, \"expected\": {\"sky_q\": -5, \"sky_u\": 3, \"mirror_u\": 5, \"mirror_v\": 2, \"linear_power\": 34, \"inverse_q\": 5}, \"passed\": true}, {\"check\": \"astronomical fixture 4\", \"actual\": {\"sky_q\": 0, \"sky_u\": 0, \"mirror_u\": 0, \"mirror_v\": -2, \"linear_power\": 0, \"inverse_q\": 0}, \"expected\": {\"sky_q\": 0, \"sky_u\": 0, \"mirror_u\": 0, \"mirror_v\": -2, \"linear_power\": 0, \"inverse_q\": 0}, \"passed\": true}, {\"check\": \"astronomical fixture 5\", \"actual\": {\"sky_q\": 3, \"sky_u\": 3, \"mirror_u\": 3, \"mirror_v\": 2, \"linear_power\": 18, \"inverse_q\": -3}, \"expected\": {\"sky_q\": 3, \"sky_u\": 3, \"mirror_u\": 3, \"mirror_v\": 2, \"linear_power\": 18, \"inverse_q\": -3}, \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}