{"abstract":"Byte planes are weighted as single-bit planes.","category":"PCM sample encoding","checks":8,"contract":"Reassemble signed integer PCM from per-byte-significance planes, preserving sample order and the declared number of octets per sample.","contract_signature":"planes, count, octets","evaluation_group":"s3-pcm-pcm-byteplane-restore","failed_approach":"Reversing plane weights changes the stipulated planar layout.","family":"s3-pcm-pcm-byteplane-restore-octet-weight","id":"FA-49121","implementations":{"attempt":{"sha256":"1b375f9a74e714012e13b7f3a747f6c9dd91ea332637ea3c3cba8696af387153","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(planes, count, octets):\n    out=[]\n    for i in range(count):\n        value=sum(planes[b][i]<<(8*(octets-1-b)) for b in range(octets))\n        sign=1<<(8*octets-1)\n        if value&sign:\n            value-=1<<(8*octets)\n        out.append(value)\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('oracle 1', solve(*([[1, 255, 0], [0, 255, 128]], 3, 2)), [1, -1, -32768])\ncheck('oracle 2', solve(*([[1, 2, 3, 4]], 4, 1)), [1, 2, 3, 4])\ncheck('oracle 3', solve(*([[0], [128]], 1, 2)), [-32768])\ncheck('oracle 4', solve(*([[], []], 0, 2)), [])\ncheck('oracle 5', solve(*([[255, 0], [127, 0]], 2, 2)), [32767, 0])\ncheck('oracle 6', solve(*([[1, 2], [3, 4], [5, 6]], 2, 3)), [328449, 394242])\ncheck('oracle 7', solve(*([[255], [255], [255]], 1, 3)), [-1])\nif N == 1: check('variant packet 1', solve(*[[[1, 255, 0, 1, 255, 0], [0, 255, 128, 0, 255, 128]], 6, 2]), [1, -1, -32768, 1, -1, -32768])\nif N == 2: check('variant packet 2', solve(*[[[1, 255, 0, 1, 255, 0, 1, 255, 0], [0, 255, 128, 0, 255, 128, 0, 255, 128]], 9, 2]), [1, -1, -32768, 1, -1, -32768, 1, -1, -32768])\nif N == 3: check('variant packet 3', solve(*[[[1, 255, 0, 1, 255, 0, 1, 255, 0, 1, 255, 0], [0, 255, 128, 0, 255, 128, 0, 255, 128, 0, 255, 128]], 12, 2]), [1, -1, -32768, 1, -1, -32768, 1, -1, -32768, 1, -1, -32768])\nif N == 4: check('variant packet 4', solve(*[[[1, 255, 0, 1, 255, 0, 1, 255, 0, 1, 255, 0, 1, 255, 0], [0, 255, 128, 0, 255, 128, 0, 255, 128, 0, 255, 128, 0, 255, 128]], 15, 2]), [1, -1, -32768, 1, -1, -32768, 1, -1, -32768, 1, -1, -32768, 1, -1, -32768])\nif N == 5: check('variant packet 5', solve(*[[[1, 255, 0, 1, 255, 0, 1, 255, 0, 1, 255, 0, 1, 255, 0, 1, 255, 0], [0, 255, 128, 0, 255, 128, 0, 255, 128, 0, 255, 128, 0, 255, 128, 0, 255, 128]], 18, 2]), [1, -1, -32768, 1, -1, -32768, 1, -1, -32768, 1, -1, -32768, 1, -1, -32768, 1, -1, -32768])\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":"561c9ec453dd5127fb3a498d4fa3224b167eddd705917b3ec4359496c537c673","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(planes, count, octets):\n    out=[]\n    for i in range(count):\n        value=sum(planes[b][i]<<b for b in range(octets))\n        sign=1<<(8*octets-1)\n        if value&sign:\n            value-=1<<(8*octets)\n        out.append(value)\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('oracle 1', solve(*([[1, 255, 0], [0, 255, 128]], 3, 2)), [1, -1, -32768])\ncheck('oracle 2', solve(*([[1, 2, 3, 4]], 4, 1)), [1, 2, 3, 4])\ncheck('oracle 3', solve(*([[0], [128]], 1, 2)), [-32768])\ncheck('oracle 4', solve(*([[], []], 0, 2)), [])\ncheck('oracle 5', solve(*([[255, 0], [127, 0]], 2, 2)), [32767, 0])\ncheck('oracle 6', solve(*([[1, 2], [3, 4], [5, 6]], 2, 3)), [328449, 394242])\ncheck('oracle 7', solve(*([[255], [255], [255]], 1, 3)), [-1])\nif N == 1: check('variant packet 1', solve(*[[[1, 255, 0, 1, 255, 0], [0, 255, 128, 0, 255, 128]], 6, 2]), [1, -1, -32768, 1, -1, -32768])\nif N == 2: check('variant packet 2', solve(*[[[1, 255, 0, 1, 255, 0, 1, 255, 0], [0, 255, 128, 0, 255, 128, 0, 255, 128]], 9, 2]), [1, -1, -32768, 1, -1, -32768, 1, -1, -32768])\nif N == 3: check('variant packet 3', solve(*[[[1, 255, 0, 1, 255, 0, 1, 255, 0, 1, 255, 0], [0, 255, 128, 0, 255, 128, 0, 255, 128, 0, 255, 128]], 12, 2]), [1, -1, -32768, 1, -1, -32768, 1, -1, -32768, 1, -1, -32768])\nif N == 4: check('variant packet 4', solve(*[[[1, 255, 0, 1, 255, 0, 1, 255, 0, 1, 255, 0, 1, 255, 0], [0, 255, 128, 0, 255, 128, 0, 255, 128, 0, 255, 128, 0, 255, 128]], 15, 2]), [1, -1, -32768, 1, -1, -32768, 1, -1, -32768, 1, -1, -32768, 1, -1, -32768])\nif N == 5: check('variant packet 5', solve(*[[[1, 255, 0, 1, 255, 0, 1, 255, 0, 1, 255, 0, 1, 255, 0, 1, 255, 0], [0, 255, 128, 0, 255, 128, 0, 255, 128, 0, 255, 128, 0, 255, 128, 0, 255, 128]], 18, 2]), [1, -1, -32768, 1, -1, -32768, 1, -1, -32768, 1, -1, -32768, 1, -1, -32768, 1, -1, -32768])\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":"Stipulated finite model; no claim of hardware timing or full file-format conformance. 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-pcm-pcm-byteplane-restore-octet-weight","generated_at":"2026-09-29T14:44:57.114879+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Offline PCM interchange uses these exact bounded packet and sample representation decisions.","root_cause":"Byte planes are weighted as single-bit planes.","sha256":"69b4930ae7727724895395f0c4ea13e9e3fd30beb563cfa2e29bca655c7db1af","title":"Pcm byteplane restore: octet weight · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verified":true,"visibility":"public","verification":{"attempt":{"elapsed_ms":42.862,"exit_code":1,"observations":[{"actual":[256,-1,128],"check":"oracle 1","expected":[1,-1,-32768],"passed":false},{"actual":[1,2,3,4],"check":"oracle 2","expected":[1,2,3,4],"passed":true},{"actual":[128],"check":"oracle 3","expected":[-32768],"passed":false},{"actual":[],"check":"oracle 4","expected":[],"passed":true},{"actual":[-129,0],"check":"oracle 5","expected":[32767,0],"passed":false},{"actual":[66309,132102],"check":"oracle 6","expected":[328449,394242],"passed":false},{"actual":[-1],"check":"oracle 7","expected":[-1],"passed":true},{"actual":[256,-1,128,256,-1,128],"check":"variant packet 1","expected":[1,-1,-32768,1,-1,-32768],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [256, -1, 128], \"expected\": [1, -1, -32768], \"passed\": false}, {\"check\": \"oracle 2\", \"actual\": [1, 2, 3, 4], \"expected\": [1, 2, 3, 4], \"passed\": true}, {\"check\": \"oracle 3\", \"actual\": [128], \"expected\": [-32768], \"passed\": false}, {\"check\": \"oracle 4\", \"actual\": [], \"expected\": [], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [-129, 0], \"expected\": [32767, 0], \"passed\": false}, {\"check\": \"oracle 6\", \"actual\": [66309, 132102], \"expected\": [328449, 394242], \"passed\": false}, {\"check\": \"oracle 7\", \"actual\": [-1], \"expected\": [-1], \"passed\": true}, {\"check\": \"variant packet 1\", \"actual\": [256, -1, 128, 256, -1, 128], \"expected\": [1, -1, -32768, 1, -1, -32768], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":45.026,"exit_code":1,"observations":[{"actual":[1,765,256],"check":"oracle 1","expected":[1,-1,-32768],"passed":false},{"actual":[1,2,3,4],"check":"oracle 2","expected":[1,2,3,4],"passed":true},{"actual":[256],"check":"oracle 3","expected":[-32768],"passed":false},{"actual":[],"check":"oracle 4","expected":[],"passed":true},{"actual":[509,0],"check":"oracle 5","expected":[32767,0],"passed":false},{"actual":[27,34],"check":"oracle 6","expected":[328449,394242],"passed":false},{"actual":[1785],"check":"oracle 7","expected":[-1],"passed":false},{"actual":[1,765,256,1,765,256],"check":"variant packet 1","expected":[1,-1,-32768,1,-1,-32768],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [1, 765, 256], \"expected\": [1, -1, -32768], \"passed\": false}, {\"check\": \"oracle 2\", \"actual\": [1, 2, 3, 4], \"expected\": [1, 2, 3, 4], \"passed\": true}, {\"check\": \"oracle 3\", \"actual\": [256], \"expected\": [-32768], \"passed\": false}, {\"check\": \"oracle 4\", \"actual\": [], \"expected\": [], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [509, 0], \"expected\": [32767, 0], \"passed\": false}, {\"check\": \"oracle 6\", \"actual\": [27, 34], \"expected\": [328449, 394242], \"passed\": false}, {\"check\": \"oracle 7\", \"actual\": [1785], \"expected\": [-1], \"passed\": false}, {\"check\": \"variant packet 1\", \"actual\": [1, 765, 256, 1, 765, 256], \"expected\": [1, -1, -32768, 1, -1, -32768], \"passed\": false}], \"passed\": false}\n"}},"member_only":{"stages":["fixed"],"fields":["implementations.fixed","verification.fixed","harness","repair"],"note":"The verified repair, its recorded checks, the repair description, and the scoring harness are available to members."}}