{"abstract":"The final reconstruction code is rejected as if the table endpoint were exclusive.","category":"PCM sample encoding","checks":8,"contract":"Decode an explicitly calibrated nonlinear PCM code table relative to its designated zero entry; invalid indices return null rather than a plausible sample.","contract_signature":"codes, table, zero_index","evaluation_group":"s3-pcm-pcm-nonlinear-reconstruction-table","failed_approach":"Rejecting an extra endpoint further shrinks the valid calibrated range.","family":"s3-pcm-pcm-nonlinear-reconstruction-table-last-code-valid","id":"FA-49896","implementations":{"attempt":{"sha256":"4bcba688c0bf4a281b49f7b63d8f7a0030d46048a7ca0afbc0995e48055f3b93","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(codes, table, zero_index):\n    out=[]\n    for code in codes:\n        if code<0 or code>=max(0,len(table)-2):\n            out.append(None)\n            continue\n        amplitude=table[code]-table[zero_index]\n        out.append(amplitude)\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('oracle 1', solve(*([0, 1, 2, 3], [-9, -2, 4, 15], 1)), [-7, 0, 6, 17])\ncheck('oracle 2', solve(*([-1, 0, 3], [1, 3, 9], 0)), [None, 0, None])\ncheck('oracle 3', solve(*([0], [-5], 0)), [0])\ncheck('oracle 4', solve(*([], [-3, 2], 1)), [])\ncheck('oracle 5', solve(*([1, 2], [0, 10, 11], 1)), [0, 1])\ncheck('oracle 6', solve(*([0, 2, 4], [-8, -3, 0, 3, 8], 2)), [-8, 0, 8])\ncheck('oracle 7', solve(*([0, -2, 2], [4, 8, 12], 1)), [-4, None, 4])\nif N == 1: check('variant packet 1', solve(*[[0, 1, 2, 3, 0, 1, 2, 3], [-9, -2, 4, 15], 1]), [-7, 0, 6, 17, -7, 0, 6, 17])\nif N == 2: check('variant packet 2', solve(*[[0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3], [-9, -2, 4, 15], 1]), [-7, 0, 6, 17, -7, 0, 6, 17, -7, 0, 6, 17])\nif N == 3: check('variant packet 3', solve(*[[0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3], [-9, -2, 4, 15], 1]), [-7, 0, 6, 17, -7, 0, 6, 17, -7, 0, 6, 17, -7, 0, 6, 17])\nif N == 4: check('variant packet 4', solve(*[[0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3], [-9, -2, 4, 15], 1]), [-7, 0, 6, 17, -7, 0, 6, 17, -7, 0, 6, 17, -7, 0, 6, 17, -7, 0, 6, 17])\nif N == 5: check('variant packet 5', solve(*[[0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3], [-9, -2, 4, 15], 1]), [-7, 0, 6, 17, -7, 0, 6, 17, -7, 0, 6, 17, -7, 0, 6, 17, -7, 0, 6, 17, -7, 0, 6, 17])\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":"f9602431740a497ad040adcc3444b5f138a33e665d66bd5c41b1d1096d1d500e","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(codes, table, zero_index):\n    out=[]\n    for code in codes:\n        if code<0 or code>=len(table)-1:\n            out.append(None)\n            continue\n        amplitude=table[code]-table[zero_index]\n        out.append(amplitude)\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('oracle 1', solve(*([0, 1, 2, 3], [-9, -2, 4, 15], 1)), [-7, 0, 6, 17])\ncheck('oracle 2', solve(*([-1, 0, 3], [1, 3, 9], 0)), [None, 0, None])\ncheck('oracle 3', solve(*([0], [-5], 0)), [0])\ncheck('oracle 4', solve(*([], [-3, 2], 1)), [])\ncheck('oracle 5', solve(*([1, 2], [0, 10, 11], 1)), [0, 1])\ncheck('oracle 6', solve(*([0, 2, 4], [-8, -3, 0, 3, 8], 2)), [-8, 0, 8])\ncheck('oracle 7', solve(*([0, -2, 2], [4, 8, 12], 1)), [-4, None, 4])\nif N == 1: check('variant packet 1', solve(*[[0, 1, 2, 3, 0, 1, 2, 3], [-9, -2, 4, 15], 1]), [-7, 0, 6, 17, -7, 0, 6, 17])\nif N == 2: check('variant packet 2', solve(*[[0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3], [-9, -2, 4, 15], 1]), [-7, 0, 6, 17, -7, 0, 6, 17, -7, 0, 6, 17])\nif N == 3: check('variant packet 3', solve(*[[0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3], [-9, -2, 4, 15], 1]), [-7, 0, 6, 17, -7, 0, 6, 17, -7, 0, 6, 17, -7, 0, 6, 17])\nif N == 4: check('variant packet 4', solve(*[[0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3], [-9, -2, 4, 15], 1]), [-7, 0, 6, 17, -7, 0, 6, 17, -7, 0, 6, 17, -7, 0, 6, 17, -7, 0, 6, 17])\nif N == 5: check('variant packet 5', solve(*[[0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3], [-9, -2, 4, 15], 1]), [-7, 0, 6, 17, -7, 0, 6, 17, -7, 0, 6, 17, -7, 0, 6, 17, -7, 0, 6, 17, -7, 0, 6, 17])\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-nonlinear-reconstruction-table-last-code-valid","generated_at":"2026-09-29T14:45:04.335912+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":"The final reconstruction code is rejected as if the table endpoint were exclusive.","sha256":"dbbc7266b729d806d3804bcce785dba5734f6190d4b3aa8fd508213878ad0c87","title":"Pcm nonlinear reconstruction table: last code valid · 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":42.26,"exit_code":1,"observations":[{"actual":[-7,0,null,null],"check":"oracle 1","expected":[-7,0,6,17],"passed":false},{"actual":[null,0,null],"check":"oracle 2","expected":[null,0,null],"passed":true},{"actual":[null],"check":"oracle 3","expected":[0],"passed":false},{"actual":[],"check":"oracle 4","expected":[],"passed":true},{"actual":[null,null],"check":"oracle 5","expected":[0,1],"passed":false},{"actual":[-8,0,null],"check":"oracle 6","expected":[-8,0,8],"passed":false},{"actual":[-4,null,null],"check":"oracle 7","expected":[-4,null,4],"passed":false},{"actual":[-7,0,null,null,-7,0,null,null],"check":"variant packet 1","expected":[-7,0,6,17,-7,0,6,17],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [-7, 0, null, null], \"expected\": [-7, 0, 6, 17], \"passed\": false}, {\"check\": \"oracle 2\", \"actual\": [null, 0, null], \"expected\": [null, 0, null], \"passed\": true}, {\"check\": \"oracle 3\", \"actual\": [null], \"expected\": [0], \"passed\": false}, {\"check\": \"oracle 4\", \"actual\": [], \"expected\": [], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [null, null], \"expected\": [0, 1], \"passed\": false}, {\"check\": \"oracle 6\", \"actual\": [-8, 0, null], \"expected\": [-8, 0, 8], \"passed\": false}, {\"check\": \"oracle 7\", \"actual\": [-4, null, null], \"expected\": [-4, null, 4], \"passed\": false}, {\"check\": \"variant packet 1\", \"actual\": [-7, 0, null, null, -7, 0, null, null], \"expected\": [-7, 0, 6, 17, -7, 0, 6, 17], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":39.445,"exit_code":1,"observations":[{"actual":[-7,0,6,null],"check":"oracle 1","expected":[-7,0,6,17],"passed":false},{"actual":[null,0,null],"check":"oracle 2","expected":[null,0,null],"passed":true},{"actual":[null],"check":"oracle 3","expected":[0],"passed":false},{"actual":[],"check":"oracle 4","expected":[],"passed":true},{"actual":[0,null],"check":"oracle 5","expected":[0,1],"passed":false},{"actual":[-8,0,null],"check":"oracle 6","expected":[-8,0,8],"passed":false},{"actual":[-4,null,null],"check":"oracle 7","expected":[-4,null,4],"passed":false},{"actual":[-7,0,6,null,-7,0,6,null],"check":"variant packet 1","expected":[-7,0,6,17,-7,0,6,17],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [-7, 0, 6, null], \"expected\": [-7, 0, 6, 17], \"passed\": false}, {\"check\": \"oracle 2\", \"actual\": [null, 0, null], \"expected\": [null, 0, null], \"passed\": true}, {\"check\": \"oracle 3\", \"actual\": [null], \"expected\": [0], \"passed\": false}, {\"check\": \"oracle 4\", \"actual\": [], \"expected\": [], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [0, null], \"expected\": [0, 1], \"passed\": false}, {\"check\": \"oracle 6\", \"actual\": [-8, 0, null], \"expected\": [-8, 0, 8], \"passed\": false}, {\"check\": \"oracle 7\", \"actual\": [-4, null, null], \"expected\": [-4, null, 4], \"passed\": false}, {\"check\": \"variant packet 1\", \"actual\": [-7, 0, 6, null, -7, 0, 6, null], \"expected\": [-7, 0, 6, 17, -7, 0, 6, 17], \"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."}}