{"abstract":"The adapter reports an incorrect reciprocal center while other fields remain valid.","category":"Astronomical coordinate conventions","checks":6,"contract":"A supplied unnormalized direction basis has dot products east e, north n, and center z. The TAN chart accepts z>0 and returns e/z,n/z. Scale s and reference pixels rx,ry map this chart to detector pixels. Behind-plane rays are explicitly returned as None. Output fields are defined by: chart_east = d['e']/d['z'] if d['z']>0 else None; chart_north = d['n']/d['z'] if d['z']>0 else None; pixel_x = d['rx']+d['e']/d['z']/d['s'] if d['z']>0 else None; pixel_y = d['ry']+d['n']/d['z']/d['s'] if d['z']>0 else None; chart_valid = d['z']>0; reciprocal_center = 1/d['z'] if d['z']>0 else None","evaluation_group":"astro-celestial-tangent-projection","failed_approach":"A partial convention repair still uses 1/abs(d['z']) if d['z']!=0 else None","family":"s3-astronomical-coordinate-conventions-celestial-tangent-projection-reciprocal_center","id":"FA-55736","implementations":{"attempt":{"sha256":"b508711b59a7908f831e9eb207b2efa74cd6de05a6d0e5eb211721e08983cfb4","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(d):\n    return {'chart_east': d['e']/d['z'] if d['z']>0 else None, 'chart_north': d['n']/d['z'] if d['z']>0 else None, 'pixel_x': d['rx']+d['e']/d['z']/d['s'] if d['z']>0 else None, 'pixel_y': d['ry']+d['n']/d['z']/d['s'] if d['z']>0 else None, 'chart_valid': d['z']>0, 'reciprocal_center': 1/abs(d['z']) if d['z']!=0 else None}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = {1: [({'e': 2, 'n': 3, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 0.5, 'chart_north': 0.75, 'pixel_x': 10.25, 'pixel_y': 20.375, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 2, 'n': 3, 'z': 0, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 2, 'n': 3, 'z': -2, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 0, 'n': 0, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 0.0, 'chart_north': 0.0, 'pixel_x': 10.0, 'pixel_y': 20.0, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 2, 'n': 3, 'z': 4, 's': -2, 'rx': 10, 'ry': 20}, {'chart_east': 0.5, 'chart_north': 0.75, 'pixel_x': 9.75, 'pixel_y': 19.625, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 2, 'n': 3, 'z': 1, 's': 2, 'rx': 0, 'ry': 0}, {'chart_east': 2.0, 'chart_north': 3.0, 'pixel_x': 1.0, 'pixel_y': 1.5, 'chart_valid': True, 'reciprocal_center': 1.0})], 2: [({'e': 3, 'n': 3, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 0.75, 'chart_north': 0.75, 'pixel_x': 10.375, 'pixel_y': 20.375, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 3, 'n': 3, 'z': 0, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 3, 'n': 3, 'z': -2, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 1, 'n': 0, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 0.25, 'chart_north': 0.0, 'pixel_x': 10.125, 'pixel_y': 20.0, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 3, 'n': 3, 'z': 4, 's': -2, 'rx': 10, 'ry': 20}, {'chart_east': 0.75, 'chart_north': 0.75, 'pixel_x': 9.625, 'pixel_y': 19.625, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 3, 'n': 3, 'z': 1, 's': 2, 'rx': 0, 'ry': 0}, {'chart_east': 3.0, 'chart_north': 3.0, 'pixel_x': 1.5, 'pixel_y': 1.5, 'chart_valid': True, 'reciprocal_center': 1.0})], 3: [({'e': 4, 'n': 3, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 1.0, 'chart_north': 0.75, 'pixel_x': 10.5, 'pixel_y': 20.375, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 4, 'n': 3, 'z': 0, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 4, 'n': 3, 'z': -2, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 2, 'n': 0, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 0.5, 'chart_north': 0.0, 'pixel_x': 10.25, 'pixel_y': 20.0, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 4, 'n': 3, 'z': 4, 's': -2, 'rx': 10, 'ry': 20}, {'chart_east': 1.0, 'chart_north': 0.75, 'pixel_x': 9.5, 'pixel_y': 19.625, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 4, 'n': 3, 'z': 1, 's': 2, 'rx': 0, 'ry': 0}, {'chart_east': 4.0, 'chart_north': 3.0, 'pixel_x': 2.0, 'pixel_y': 1.5, 'chart_valid': True, 'reciprocal_center': 1.0})], 4: [({'e': 5, 'n': 3, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 1.25, 'chart_north': 0.75, 'pixel_x': 10.625, 'pixel_y': 20.375, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 5, 'n': 3, 'z': 0, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 5, 'n': 3, 'z': -2, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 3, 'n': 0, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 0.75, 'chart_north': 0.0, 'pixel_x': 10.375, 'pixel_y': 20.0, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 5, 'n': 3, 'z': 4, 's': -2, 'rx': 10, 'ry': 20}, {'chart_east': 1.25, 'chart_north': 0.75, 'pixel_x': 9.375, 'pixel_y': 19.625, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 5, 'n': 3, 'z': 1, 's': 2, 'rx': 0, 'ry': 0}, {'chart_east': 5.0, 'chart_north': 3.0, 'pixel_x': 2.5, 'pixel_y': 1.5, 'chart_valid': True, 'reciprocal_center': 1.0})], 5: [({'e': 6, 'n': 3, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 1.5, 'chart_north': 0.75, 'pixel_x': 10.75, 'pixel_y': 20.375, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 6, 'n': 3, 'z': 0, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 6, 'n': 3, 'z': -2, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 4, 'n': 0, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 1.0, 'chart_north': 0.0, 'pixel_x': 10.5, 'pixel_y': 20.0, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 6, 'n': 3, 'z': 4, 's': -2, 'rx': 10, 'ry': 20}, {'chart_east': 1.5, 'chart_north': 0.75, 'pixel_x': 9.25, 'pixel_y': 19.625, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 6, 'n': 3, 'z': 1, 's': 2, 'rx': 0, 'ry': 0}, {'chart_east': 6.0, 'chart_north': 3.0, 'pixel_x': 3.0, 'pixel_y': 1.5, 'chart_valid': True, 'reciprocal_center': 1.0})]}\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":"26c5c6953489878792a0522181e25276b7849f5ab0ab50edc16ca9e80f5f0647","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(d):\n    return {'chart_east': d['e']/d['z'] if d['z']>0 else None, 'chart_north': d['n']/d['z'] if d['z']>0 else None, 'pixel_x': d['rx']+d['e']/d['z']/d['s'] if d['z']>0 else None, 'pixel_y': d['ry']+d['n']/d['z']/d['s'] if d['z']>0 else None, 'chart_valid': d['z']>0, 'reciprocal_center': d['z'] if d['z']>0 else None}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = {1: [({'e': 2, 'n': 3, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 0.5, 'chart_north': 0.75, 'pixel_x': 10.25, 'pixel_y': 20.375, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 2, 'n': 3, 'z': 0, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 2, 'n': 3, 'z': -2, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 0, 'n': 0, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 0.0, 'chart_north': 0.0, 'pixel_x': 10.0, 'pixel_y': 20.0, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 2, 'n': 3, 'z': 4, 's': -2, 'rx': 10, 'ry': 20}, {'chart_east': 0.5, 'chart_north': 0.75, 'pixel_x': 9.75, 'pixel_y': 19.625, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 2, 'n': 3, 'z': 1, 's': 2, 'rx': 0, 'ry': 0}, {'chart_east': 2.0, 'chart_north': 3.0, 'pixel_x': 1.0, 'pixel_y': 1.5, 'chart_valid': True, 'reciprocal_center': 1.0})], 2: [({'e': 3, 'n': 3, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 0.75, 'chart_north': 0.75, 'pixel_x': 10.375, 'pixel_y': 20.375, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 3, 'n': 3, 'z': 0, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 3, 'n': 3, 'z': -2, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 1, 'n': 0, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 0.25, 'chart_north': 0.0, 'pixel_x': 10.125, 'pixel_y': 20.0, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 3, 'n': 3, 'z': 4, 's': -2, 'rx': 10, 'ry': 20}, {'chart_east': 0.75, 'chart_north': 0.75, 'pixel_x': 9.625, 'pixel_y': 19.625, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 3, 'n': 3, 'z': 1, 's': 2, 'rx': 0, 'ry': 0}, {'chart_east': 3.0, 'chart_north': 3.0, 'pixel_x': 1.5, 'pixel_y': 1.5, 'chart_valid': True, 'reciprocal_center': 1.0})], 3: [({'e': 4, 'n': 3, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 1.0, 'chart_north': 0.75, 'pixel_x': 10.5, 'pixel_y': 20.375, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 4, 'n': 3, 'z': 0, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 4, 'n': 3, 'z': -2, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 2, 'n': 0, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 0.5, 'chart_north': 0.0, 'pixel_x': 10.25, 'pixel_y': 20.0, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 4, 'n': 3, 'z': 4, 's': -2, 'rx': 10, 'ry': 20}, {'chart_east': 1.0, 'chart_north': 0.75, 'pixel_x': 9.5, 'pixel_y': 19.625, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 4, 'n': 3, 'z': 1, 's': 2, 'rx': 0, 'ry': 0}, {'chart_east': 4.0, 'chart_north': 3.0, 'pixel_x': 2.0, 'pixel_y': 1.5, 'chart_valid': True, 'reciprocal_center': 1.0})], 4: [({'e': 5, 'n': 3, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 1.25, 'chart_north': 0.75, 'pixel_x': 10.625, 'pixel_y': 20.375, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 5, 'n': 3, 'z': 0, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 5, 'n': 3, 'z': -2, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 3, 'n': 0, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 0.75, 'chart_north': 0.0, 'pixel_x': 10.375, 'pixel_y': 20.0, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 5, 'n': 3, 'z': 4, 's': -2, 'rx': 10, 'ry': 20}, {'chart_east': 1.25, 'chart_north': 0.75, 'pixel_x': 9.375, 'pixel_y': 19.625, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 5, 'n': 3, 'z': 1, 's': 2, 'rx': 0, 'ry': 0}, {'chart_east': 5.0, 'chart_north': 3.0, 'pixel_x': 2.5, 'pixel_y': 1.5, 'chart_valid': True, 'reciprocal_center': 1.0})], 5: [({'e': 6, 'n': 3, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 1.5, 'chart_north': 0.75, 'pixel_x': 10.75, 'pixel_y': 20.375, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 6, 'n': 3, 'z': 0, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 6, 'n': 3, 'z': -2, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 4, 'n': 0, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 1.0, 'chart_north': 0.0, 'pixel_x': 10.5, 'pixel_y': 20.0, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 6, 'n': 3, 'z': 4, 's': -2, 'rx': 10, 'ry': 20}, {'chart_east': 1.5, 'chart_north': 0.75, 'pixel_x': 9.25, 'pixel_y': 19.625, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 6, 'n': 3, 'z': 1, 's': 2, 'rx': 0, 'ry': 0}, {'chart_east': 6.0, 'chart_north': 3.0, 'pixel_x': 3.0, 'pixel_y': 1.5, 'chart_valid': True, 'reciprocal_center': 1.0})]}\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":"ff542a40b4e71eae96aac0d270505c99ec2e3539755442d90ea5389cf023b8b7","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(d):\n    return {'chart_east': d['e']/d['z'] if d['z']>0 else None, 'chart_north': d['n']/d['z'] if d['z']>0 else None, 'pixel_x': d['rx']+d['e']/d['z']/d['s'] if d['z']>0 else None, 'pixel_y': d['ry']+d['n']/d['z']/d['s'] if d['z']>0 else None, 'chart_valid': d['z']>0, 'reciprocal_center': 1/d['z'] if d['z']>0 else None}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = {1: [({'e': 2, 'n': 3, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 0.5, 'chart_north': 0.75, 'pixel_x': 10.25, 'pixel_y': 20.375, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 2, 'n': 3, 'z': 0, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 2, 'n': 3, 'z': -2, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 0, 'n': 0, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 0.0, 'chart_north': 0.0, 'pixel_x': 10.0, 'pixel_y': 20.0, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 2, 'n': 3, 'z': 4, 's': -2, 'rx': 10, 'ry': 20}, {'chart_east': 0.5, 'chart_north': 0.75, 'pixel_x': 9.75, 'pixel_y': 19.625, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 2, 'n': 3, 'z': 1, 's': 2, 'rx': 0, 'ry': 0}, {'chart_east': 2.0, 'chart_north': 3.0, 'pixel_x': 1.0, 'pixel_y': 1.5, 'chart_valid': True, 'reciprocal_center': 1.0})], 2: [({'e': 3, 'n': 3, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 0.75, 'chart_north': 0.75, 'pixel_x': 10.375, 'pixel_y': 20.375, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 3, 'n': 3, 'z': 0, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 3, 'n': 3, 'z': -2, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 1, 'n': 0, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 0.25, 'chart_north': 0.0, 'pixel_x': 10.125, 'pixel_y': 20.0, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 3, 'n': 3, 'z': 4, 's': -2, 'rx': 10, 'ry': 20}, {'chart_east': 0.75, 'chart_north': 0.75, 'pixel_x': 9.625, 'pixel_y': 19.625, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 3, 'n': 3, 'z': 1, 's': 2, 'rx': 0, 'ry': 0}, {'chart_east': 3.0, 'chart_north': 3.0, 'pixel_x': 1.5, 'pixel_y': 1.5, 'chart_valid': True, 'reciprocal_center': 1.0})], 3: [({'e': 4, 'n': 3, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 1.0, 'chart_north': 0.75, 'pixel_x': 10.5, 'pixel_y': 20.375, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 4, 'n': 3, 'z': 0, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 4, 'n': 3, 'z': -2, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 2, 'n': 0, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 0.5, 'chart_north': 0.0, 'pixel_x': 10.25, 'pixel_y': 20.0, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 4, 'n': 3, 'z': 4, 's': -2, 'rx': 10, 'ry': 20}, {'chart_east': 1.0, 'chart_north': 0.75, 'pixel_x': 9.5, 'pixel_y': 19.625, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 4, 'n': 3, 'z': 1, 's': 2, 'rx': 0, 'ry': 0}, {'chart_east': 4.0, 'chart_north': 3.0, 'pixel_x': 2.0, 'pixel_y': 1.5, 'chart_valid': True, 'reciprocal_center': 1.0})], 4: [({'e': 5, 'n': 3, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 1.25, 'chart_north': 0.75, 'pixel_x': 10.625, 'pixel_y': 20.375, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 5, 'n': 3, 'z': 0, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 5, 'n': 3, 'z': -2, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 3, 'n': 0, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 0.75, 'chart_north': 0.0, 'pixel_x': 10.375, 'pixel_y': 20.0, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 5, 'n': 3, 'z': 4, 's': -2, 'rx': 10, 'ry': 20}, {'chart_east': 1.25, 'chart_north': 0.75, 'pixel_x': 9.375, 'pixel_y': 19.625, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 5, 'n': 3, 'z': 1, 's': 2, 'rx': 0, 'ry': 0}, {'chart_east': 5.0, 'chart_north': 3.0, 'pixel_x': 2.5, 'pixel_y': 1.5, 'chart_valid': True, 'reciprocal_center': 1.0})], 5: [({'e': 6, 'n': 3, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 1.5, 'chart_north': 0.75, 'pixel_x': 10.75, 'pixel_y': 20.375, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 6, 'n': 3, 'z': 0, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 6, 'n': 3, 'z': -2, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': None, 'chart_north': None, 'pixel_x': None, 'pixel_y': None, 'chart_valid': False, 'reciprocal_center': None}), ({'e': 4, 'n': 0, 'z': 4, 's': 2, 'rx': 10, 'ry': 20}, {'chart_east': 1.0, 'chart_north': 0.0, 'pixel_x': 10.5, 'pixel_y': 20.0, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 6, 'n': 3, 'z': 4, 's': -2, 'rx': 10, 'ry': 20}, {'chart_east': 1.5, 'chart_north': 0.75, 'pixel_x': 9.25, 'pixel_y': 19.625, 'chart_valid': True, 'reciprocal_center': 0.25}), ({'e': 6, 'n': 3, 'z': 1, 's': 2, 'rx': 0, 'ry': 0}, {'chart_east': 6.0, 'chart_north': 3.0, 'pixel_x': 3.0, 'pixel_y': 1.5, 'chart_valid': True, 'reciprocal_center': 1.0})]}\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-celestial-tangent-projection-reciprocal_center","generated_at":"2026-09-29T14:46:00.520301+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: 1/d['z'] if d['z']>0 else None","root_cause":"TAN projection factor is emitted as the center cosine rather than its reciprocal. Faulty expression: d['z'] if d['z']>0 else None","sha256":"b964e1c3cc12050508c70e7c86ed58d9bd8522b5c73622fa7d12b655efd65be4","title":"Celestial tangent projection: TAN projection factor is emitted as the center cosine rather than its reciprocal · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":41.355,"exit_code":1,"observations":[{"actual":{"chart_east":0.5,"chart_north":0.75,"chart_valid":true,"pixel_x":10.25,"pixel_y":20.375,"reciprocal_center":0.25},"check":"astronomical fixture 0","expected":{"chart_east":0.5,"chart_north":0.75,"chart_valid":true,"pixel_x":10.25,"pixel_y":20.375,"reciprocal_center":0.25},"passed":true},{"actual":{"chart_east":null,"chart_north":null,"chart_valid":false,"pixel_x":null,"pixel_y":null,"reciprocal_center":null},"check":"astronomical fixture 1","expected":{"chart_east":null,"chart_north":null,"chart_valid":false,"pixel_x":null,"pixel_y":null,"reciprocal_center":null},"passed":true},{"actual":{"chart_east":null,"chart_north":null,"chart_valid":false,"pixel_x":null,"pixel_y":null,"reciprocal_center":0.5},"check":"astronomical fixture 2","expected":{"chart_east":null,"chart_north":null,"chart_valid":false,"pixel_x":null,"pixel_y":null,"reciprocal_center":null},"passed":false},{"actual":{"chart_east":0.0,"chart_north":0.0,"chart_valid":true,"pixel_x":10.0,"pixel_y":20.0,"reciprocal_center":0.25},"check":"astronomical fixture 3","expected":{"chart_east":0.0,"chart_north":0.0,"chart_valid":true,"pixel_x":10.0,"pixel_y":20.0,"reciprocal_center":0.25},"passed":true},{"actual":{"chart_east":0.5,"chart_north":0.75,"chart_valid":true,"pixel_x":9.75,"pixel_y":19.625,"reciprocal_center":0.25},"check":"astronomical fixture 4","expected":{"chart_east":0.5,"chart_north":0.75,"chart_valid":true,"pixel_x":9.75,"pixel_y":19.625,"reciprocal_center":0.25},"passed":true},{"actual":{"chart_east":2.0,"chart_north":3.0,"chart_valid":true,"pixel_x":1.0,"pixel_y":1.5,"reciprocal_center":1.0},"check":"astronomical fixture 5","expected":{"chart_east":2.0,"chart_north":3.0,"chart_valid":true,"pixel_x":1.0,"pixel_y":1.5,"reciprocal_center":1.0},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"astronomical fixture 0\", \"actual\": {\"chart_east\": 0.5, \"chart_north\": 0.75, \"pixel_x\": 10.25, \"pixel_y\": 20.375, \"chart_valid\": true, \"reciprocal_center\": 0.25}, \"expected\": {\"chart_east\": 0.5, \"chart_north\": 0.75, \"pixel_x\": 10.25, \"pixel_y\": 20.375, \"chart_valid\": true, \"reciprocal_center\": 0.25}, \"passed\": true}, {\"check\": \"astronomical fixture 1\", \"actual\": {\"chart_east\": null, \"chart_north\": null, \"pixel_x\": null, \"pixel_y\": null, \"chart_valid\": false, \"reciprocal_center\": null}, \"expected\": {\"chart_east\": null, \"chart_north\": null, \"pixel_x\": null, \"pixel_y\": null, \"chart_valid\": false, \"reciprocal_center\": null}, \"passed\": true}, {\"check\": \"astronomical fixture 2\", \"actual\": {\"chart_east\": null, \"chart_north\": null, \"pixel_x\": null, \"pixel_y\": null, \"chart_valid\": false, \"reciprocal_center\": 0.5}, \"expected\": {\"chart_east\": null, \"chart_north\": null, \"pixel_x\": null, \"pixel_y\": null, \"chart_valid\": false, \"reciprocal_center\": null}, \"passed\": false}, {\"check\": \"astronomical fixture 3\", \"actual\": {\"chart_east\": 0.0, \"chart_north\": 0.0, \"pixel_x\": 10.0, \"pixel_y\": 20.0, \"chart_valid\": true, \"reciprocal_center\": 0.25}, \"expected\": {\"chart_east\": 0.0, \"chart_north\": 0.0, \"pixel_x\": 10.0, \"pixel_y\": 20.0, \"chart_valid\": true, \"reciprocal_center\": 0.25}, \"passed\": true}, {\"check\": \"astronomical fixture 4\", \"actual\": {\"chart_east\": 0.5, \"chart_north\": 0.75, \"pixel_x\": 9.75, \"pixel_y\": 19.625, \"chart_valid\": true, \"reciprocal_center\": 0.25}, \"expected\": {\"chart_east\": 0.5, \"chart_north\": 0.75, \"pixel_x\": 9.75, \"pixel_y\": 19.625, \"chart_valid\": true, \"reciprocal_center\": 0.25}, \"passed\": true}, {\"check\": \"astronomical fixture 5\", \"actual\": {\"chart_east\": 2.0, \"chart_north\": 3.0, \"pixel_x\": 1.0, \"pixel_y\": 1.5, \"chart_valid\": true, \"reciprocal_center\": 1.0}, \"expected\": {\"chart_east\": 2.0, \"chart_north\": 3.0, \"pixel_x\": 1.0, \"pixel_y\": 1.5, \"chart_valid\": true, \"reciprocal_center\": 1.0}, \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":44.62,"exit_code":1,"observations":[{"actual":{"chart_east":0.5,"chart_north":0.75,"chart_valid":true,"pixel_x":10.25,"pixel_y":20.375,"reciprocal_center":4},"check":"astronomical fixture 0","expected":{"chart_east":0.5,"chart_north":0.75,"chart_valid":true,"pixel_x":10.25,"pixel_y":20.375,"reciprocal_center":0.25},"passed":false},{"actual":{"chart_east":null,"chart_north":null,"chart_valid":false,"pixel_x":null,"pixel_y":null,"reciprocal_center":null},"check":"astronomical fixture 1","expected":{"chart_east":null,"chart_north":null,"chart_valid":false,"pixel_x":null,"pixel_y":null,"reciprocal_center":null},"passed":true},{"actual":{"chart_east":null,"chart_north":null,"chart_valid":false,"pixel_x":null,"pixel_y":null,"reciprocal_center":null},"check":"astronomical fixture 2","expected":{"chart_east":null,"chart_north":null,"chart_valid":false,"pixel_x":null,"pixel_y":null,"reciprocal_center":null},"passed":true},{"actual":{"chart_east":0.0,"chart_north":0.0,"chart_valid":true,"pixel_x":10.0,"pixel_y":20.0,"reciprocal_center":4},"check":"astronomical fixture 3","expected":{"chart_east":0.0,"chart_north":0.0,"chart_valid":true,"pixel_x":10.0,"pixel_y":20.0,"reciprocal_center":0.25},"passed":false},{"actual":{"chart_east":0.5,"chart_north":0.75,"chart_valid":true,"pixel_x":9.75,"pixel_y":19.625,"reciprocal_center":4},"check":"astronomical fixture 4","expected":{"chart_east":0.5,"chart_north":0.75,"chart_valid":true,"pixel_x":9.75,"pixel_y":19.625,"reciprocal_center":0.25},"passed":false},{"actual":{"chart_east":2.0,"chart_north":3.0,"chart_valid":true,"pixel_x":1.0,"pixel_y":1.5,"reciprocal_center":1},"check":"astronomical fixture 5","expected":{"chart_east":2.0,"chart_north":3.0,"chart_valid":true,"pixel_x":1.0,"pixel_y":1.5,"reciprocal_center":1.0},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"astronomical fixture 0\", \"actual\": {\"chart_east\": 0.5, \"chart_north\": 0.75, \"pixel_x\": 10.25, \"pixel_y\": 20.375, \"chart_valid\": true, \"reciprocal_center\": 4}, \"expected\": {\"chart_east\": 0.5, \"chart_north\": 0.75, \"pixel_x\": 10.25, \"pixel_y\": 20.375, \"chart_valid\": true, \"reciprocal_center\": 0.25}, \"passed\": false}, {\"check\": \"astronomical fixture 1\", \"actual\": {\"chart_east\": null, \"chart_north\": null, \"pixel_x\": null, \"pixel_y\": null, \"chart_valid\": false, \"reciprocal_center\": null}, \"expected\": {\"chart_east\": null, \"chart_north\": null, \"pixel_x\": null, \"pixel_y\": null, \"chart_valid\": false, \"reciprocal_center\": null}, \"passed\": true}, {\"check\": \"astronomical fixture 2\", \"actual\": {\"chart_east\": null, \"chart_north\": null, \"pixel_x\": null, \"pixel_y\": null, \"chart_valid\": false, \"reciprocal_center\": null}, \"expected\": {\"chart_east\": null, \"chart_north\": null, \"pixel_x\": null, \"pixel_y\": null, \"chart_valid\": false, \"reciprocal_center\": null}, \"passed\": true}, {\"check\": \"astronomical fixture 3\", \"actual\": {\"chart_east\": 0.0, \"chart_north\": 0.0, \"pixel_x\": 10.0, \"pixel_y\": 20.0, \"chart_valid\": true, \"reciprocal_center\": 4}, \"expected\": {\"chart_east\": 0.0, \"chart_north\": 0.0, \"pixel_x\": 10.0, \"pixel_y\": 20.0, \"chart_valid\": true, \"reciprocal_center\": 0.25}, \"passed\": false}, {\"check\": \"astronomical fixture 4\", \"actual\": {\"chart_east\": 0.5, \"chart_north\": 0.75, \"pixel_x\": 9.75, \"pixel_y\": 19.625, \"chart_valid\": true, \"reciprocal_center\": 4}, \"expected\": {\"chart_east\": 0.5, \"chart_north\": 0.75, \"pixel_x\": 9.75, \"pixel_y\": 19.625, \"chart_valid\": true, \"reciprocal_center\": 0.25}, \"passed\": false}, {\"check\": \"astronomical fixture 5\", \"actual\": {\"chart_east\": 2.0, \"chart_north\": 3.0, \"pixel_x\": 1.0, \"pixel_y\": 1.5, \"chart_valid\": true, \"reciprocal_center\": 1}, \"expected\": {\"chart_east\": 2.0, \"chart_north\": 3.0, \"pixel_x\": 1.0, \"pixel_y\": 1.5, \"chart_valid\": true, \"reciprocal_center\": 1.0}, \"passed\": true}], \"passed\": false}\n"},"fixed":{"elapsed_ms":42.416,"exit_code":0,"observations":[{"actual":{"chart_east":0.5,"chart_north":0.75,"chart_valid":true,"pixel_x":10.25,"pixel_y":20.375,"reciprocal_center":0.25},"check":"astronomical fixture 0","expected":{"chart_east":0.5,"chart_north":0.75,"chart_valid":true,"pixel_x":10.25,"pixel_y":20.375,"reciprocal_center":0.25},"passed":true},{"actual":{"chart_east":null,"chart_north":null,"chart_valid":false,"pixel_x":null,"pixel_y":null,"reciprocal_center":null},"check":"astronomical fixture 1","expected":{"chart_east":null,"chart_north":null,"chart_valid":false,"pixel_x":null,"pixel_y":null,"reciprocal_center":null},"passed":true},{"actual":{"chart_east":null,"chart_north":null,"chart_valid":false,"pixel_x":null,"pixel_y":null,"reciprocal_center":null},"check":"astronomical fixture 2","expected":{"chart_east":null,"chart_north":null,"chart_valid":false,"pixel_x":null,"pixel_y":null,"reciprocal_center":null},"passed":true},{"actual":{"chart_east":0.0,"chart_north":0.0,"chart_valid":true,"pixel_x":10.0,"pixel_y":20.0,"reciprocal_center":0.25},"check":"astronomical fixture 3","expected":{"chart_east":0.0,"chart_north":0.0,"chart_valid":true,"pixel_x":10.0,"pixel_y":20.0,"reciprocal_center":0.25},"passed":true},{"actual":{"chart_east":0.5,"chart_north":0.75,"chart_valid":true,"pixel_x":9.75,"pixel_y":19.625,"reciprocal_center":0.25},"check":"astronomical fixture 4","expected":{"chart_east":0.5,"chart_north":0.75,"chart_valid":true,"pixel_x":9.75,"pixel_y":19.625,"reciprocal_center":0.25},"passed":true},{"actual":{"chart_east":2.0,"chart_north":3.0,"chart_valid":true,"pixel_x":1.0,"pixel_y":1.5,"reciprocal_center":1.0},"check":"astronomical fixture 5","expected":{"chart_east":2.0,"chart_north":3.0,"chart_valid":true,"pixel_x":1.0,"pixel_y":1.5,"reciprocal_center":1.0},"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"astronomical fixture 0\", \"actual\": {\"chart_east\": 0.5, \"chart_north\": 0.75, \"pixel_x\": 10.25, \"pixel_y\": 20.375, \"chart_valid\": true, \"reciprocal_center\": 0.25}, \"expected\": {\"chart_east\": 0.5, \"chart_north\": 0.75, \"pixel_x\": 10.25, \"pixel_y\": 20.375, \"chart_valid\": true, \"reciprocal_center\": 0.25}, \"passed\": true}, {\"check\": \"astronomical fixture 1\", \"actual\": {\"chart_east\": null, \"chart_north\": null, \"pixel_x\": null, \"pixel_y\": null, \"chart_valid\": false, \"reciprocal_center\": null}, \"expected\": {\"chart_east\": null, \"chart_north\": null, \"pixel_x\": null, \"pixel_y\": null, \"chart_valid\": false, \"reciprocal_center\": null}, \"passed\": true}, {\"check\": \"astronomical fixture 2\", \"actual\": {\"chart_east\": null, \"chart_north\": null, \"pixel_x\": null, \"pixel_y\": null, \"chart_valid\": false, \"reciprocal_center\": null}, \"expected\": {\"chart_east\": null, \"chart_north\": null, \"pixel_x\": null, \"pixel_y\": null, \"chart_valid\": false, \"reciprocal_center\": null}, \"passed\": true}, {\"check\": \"astronomical fixture 3\", \"actual\": {\"chart_east\": 0.0, \"chart_north\": 0.0, \"pixel_x\": 10.0, \"pixel_y\": 20.0, \"chart_valid\": true, \"reciprocal_center\": 0.25}, \"expected\": {\"chart_east\": 0.0, \"chart_north\": 0.0, \"pixel_x\": 10.0, \"pixel_y\": 20.0, \"chart_valid\": true, \"reciprocal_center\": 0.25}, \"passed\": true}, {\"check\": \"astronomical fixture 4\", \"actual\": {\"chart_east\": 0.5, \"chart_north\": 0.75, \"pixel_x\": 9.75, \"pixel_y\": 19.625, \"chart_valid\": true, \"reciprocal_center\": 0.25}, \"expected\": {\"chart_east\": 0.5, \"chart_north\": 0.75, \"pixel_x\": 9.75, \"pixel_y\": 19.625, \"chart_valid\": true, \"reciprocal_center\": 0.25}, \"passed\": true}, {\"check\": \"astronomical fixture 5\", \"actual\": {\"chart_east\": 2.0, \"chart_north\": 3.0, \"pixel_x\": 1.0, \"pixel_y\": 1.5, \"chart_valid\": true, \"reciprocal_center\": 1.0}, \"expected\": {\"chart_east\": 2.0, \"chart_north\": 3.0, \"pixel_x\": 1.0, \"pixel_y\": 1.5, \"chart_valid\": true, \"reciprocal_center\": 1.0}, \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}