{"abstract":"The invalid code just beyond the field is treated as a valid endpoint.","category":"PCM sample encoding","checks":8,"contract":"Recenter bounded unsigned PCM around an explicitly calibrated zero code and report asymmetric representable headroom; clamp invalid code inputs before recentering.","contract_signature":"codes, width, zero_code","evaluation_group":"s3-pcm-excess-code-recenter","failed_approach":"Using a signed maximum halves the declared unsigned code range.","family":"s3-pcm-excess-code-recenter-inclusive-wire-end","id":"FA-49036","implementations":{"attempt":{"sha256":"78b5001beff712dc361bfa9af9278b96116bed9cb28736b49fefbfdb29dba323","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(codes, width, zero_code):\n    limit=(1<<(width-1))-1\n    out=[]\n    for code in codes:\n        bounded=max(0,min(limit,code))\n        delta=bounded-zero_code\n        low=-zero_code\n        high=limit-zero_code\n        out.append([delta,low,high])\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, 3, 7, 8], 3, 3)), [[-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4]])\ncheck('oracle 2', solve(*([-1, 0, 10], 3, 2)), [[-2, -2, 5], [-2, -2, 5], [5, -2, 5]])\ncheck('oracle 3', solve(*([1, 2, 3], 2, 1)), [[0, -1, 2], [1, -1, 2], [2, -1, 2]])\ncheck('oracle 4', solve(*([], 4, 5)), [])\ncheck('oracle 5', solve(*([0, 15, 16], 4, 6)), [[-6, -6, 9], [9, -6, 9], [9, -6, 9]])\ncheck('oracle 6', solve(*([0, 1], 1, 0)), [[0, 0, 1], [1, 0, 1]])\ncheck('oracle 7', solve(*([2, 4, 7], 3, 5)), [[-3, -5, 2], [-1, -5, 2], [2, -5, 2]])\nif N == 1: check('variant packet 1', solve(*[[0, 3, 7, 8, 0, 3, 7, 8], 3, 3]), [[-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4]])\nif N == 2: check('variant packet 2', solve(*[[0, 3, 7, 8, 0, 3, 7, 8, 0, 3, 7, 8], 3, 3]), [[-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4]])\nif N == 3: check('variant packet 3', solve(*[[0, 3, 7, 8, 0, 3, 7, 8, 0, 3, 7, 8, 0, 3, 7, 8], 3, 3]), [[-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4]])\nif N == 4: check('variant packet 4', solve(*[[0, 3, 7, 8, 0, 3, 7, 8, 0, 3, 7, 8, 0, 3, 7, 8, 0, 3, 7, 8], 3, 3]), [[-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4]])\nif N == 5: check('variant packet 5', solve(*[[0, 3, 7, 8, 0, 3, 7, 8, 0, 3, 7, 8, 0, 3, 7, 8, 0, 3, 7, 8, 0, 3, 7, 8], 3, 3]), [[-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4]])\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":"2d03263cbd67f46535f38f4e348f65fe86cdb7225cf99b916020753d082976c0","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(codes, width, zero_code):\n    limit=1<<width\n    out=[]\n    for code in codes:\n        bounded=max(0,min(limit,code))\n        delta=bounded-zero_code\n        low=-zero_code\n        high=limit-zero_code\n        out.append([delta,low,high])\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, 3, 7, 8], 3, 3)), [[-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4]])\ncheck('oracle 2', solve(*([-1, 0, 10], 3, 2)), [[-2, -2, 5], [-2, -2, 5], [5, -2, 5]])\ncheck('oracle 3', solve(*([1, 2, 3], 2, 1)), [[0, -1, 2], [1, -1, 2], [2, -1, 2]])\ncheck('oracle 4', solve(*([], 4, 5)), [])\ncheck('oracle 5', solve(*([0, 15, 16], 4, 6)), [[-6, -6, 9], [9, -6, 9], [9, -6, 9]])\ncheck('oracle 6', solve(*([0, 1], 1, 0)), [[0, 0, 1], [1, 0, 1]])\ncheck('oracle 7', solve(*([2, 4, 7], 3, 5)), [[-3, -5, 2], [-1, -5, 2], [2, -5, 2]])\nif N == 1: check('variant packet 1', solve(*[[0, 3, 7, 8, 0, 3, 7, 8], 3, 3]), [[-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4]])\nif N == 2: check('variant packet 2', solve(*[[0, 3, 7, 8, 0, 3, 7, 8, 0, 3, 7, 8], 3, 3]), [[-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4]])\nif N == 3: check('variant packet 3', solve(*[[0, 3, 7, 8, 0, 3, 7, 8, 0, 3, 7, 8, 0, 3, 7, 8], 3, 3]), [[-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4]])\nif N == 4: check('variant packet 4', solve(*[[0, 3, 7, 8, 0, 3, 7, 8, 0, 3, 7, 8, 0, 3, 7, 8, 0, 3, 7, 8], 3, 3]), [[-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4]])\nif N == 5: check('variant packet 5', solve(*[[0, 3, 7, 8, 0, 3, 7, 8, 0, 3, 7, 8, 0, 3, 7, 8, 0, 3, 7, 8, 0, 3, 7, 8], 3, 3]), [[-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4]])\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-excess-code-recenter-inclusive-wire-end","generated_at":"2026-09-29T14:44:56.249862+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 invalid code just beyond the field is treated as a valid endpoint.","sha256":"45c3e6caebd18174841da38dbf34bbb2a82de097836016187f1abc89f04c81f6","title":"Excess code recenter: inclusive wire end · 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":40.302,"exit_code":1,"observations":[{"actual":[[-3,-3,0],[0,-3,0],[0,-3,0],[0,-3,0]],"check":"oracle 1","expected":[[-3,-3,4],[0,-3,4],[4,-3,4],[4,-3,4]],"passed":false},{"actual":[[-2,-2,1],[-2,-2,1],[1,-2,1]],"check":"oracle 2","expected":[[-2,-2,5],[-2,-2,5],[5,-2,5]],"passed":false},{"actual":[[0,-1,0],[0,-1,0],[0,-1,0]],"check":"oracle 3","expected":[[0,-1,2],[1,-1,2],[2,-1,2]],"passed":false},{"actual":[],"check":"oracle 4","expected":[],"passed":true},{"actual":[[-6,-6,1],[1,-6,1],[1,-6,1]],"check":"oracle 5","expected":[[-6,-6,9],[9,-6,9],[9,-6,9]],"passed":false},{"actual":[[0,0,0],[0,0,0]],"check":"oracle 6","expected":[[0,0,1],[1,0,1]],"passed":false},{"actual":[[-3,-5,-2],[-2,-5,-2],[-2,-5,-2]],"check":"oracle 7","expected":[[-3,-5,2],[-1,-5,2],[2,-5,2]],"passed":false},{"actual":[[-3,-3,0],[0,-3,0],[0,-3,0],[0,-3,0],[-3,-3,0],[0,-3,0],[0,-3,0],[0,-3,0]],"check":"variant packet 1","expected":[[-3,-3,4],[0,-3,4],[4,-3,4],[4,-3,4],[-3,-3,4],[0,-3,4],[4,-3,4],[4,-3,4]],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [[-3, -3, 0], [0, -3, 0], [0, -3, 0], [0, -3, 0]], \"expected\": [[-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4]], \"passed\": false}, {\"check\": \"oracle 2\", \"actual\": [[-2, -2, 1], [-2, -2, 1], [1, -2, 1]], \"expected\": [[-2, -2, 5], [-2, -2, 5], [5, -2, 5]], \"passed\": false}, {\"check\": \"oracle 3\", \"actual\": [[0, -1, 0], [0, -1, 0], [0, -1, 0]], \"expected\": [[0, -1, 2], [1, -1, 2], [2, -1, 2]], \"passed\": false}, {\"check\": \"oracle 4\", \"actual\": [], \"expected\": [], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [[-6, -6, 1], [1, -6, 1], [1, -6, 1]], \"expected\": [[-6, -6, 9], [9, -6, 9], [9, -6, 9]], \"passed\": false}, {\"check\": \"oracle 6\", \"actual\": [[0, 0, 0], [0, 0, 0]], \"expected\": [[0, 0, 1], [1, 0, 1]], \"passed\": false}, {\"check\": \"oracle 7\", \"actual\": [[-3, -5, -2], [-2, -5, -2], [-2, -5, -2]], \"expected\": [[-3, -5, 2], [-1, -5, 2], [2, -5, 2]], \"passed\": false}, {\"check\": \"variant packet 1\", \"actual\": [[-3, -3, 0], [0, -3, 0], [0, -3, 0], [0, -3, 0], [-3, -3, 0], [0, -3, 0], [0, -3, 0], [0, -3, 0]], \"expected\": [[-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4]], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":41.0,"exit_code":1,"observations":[{"actual":[[-3,-3,5],[0,-3,5],[4,-3,5],[5,-3,5]],"check":"oracle 1","expected":[[-3,-3,4],[0,-3,4],[4,-3,4],[4,-3,4]],"passed":false},{"actual":[[-2,-2,6],[-2,-2,6],[6,-2,6]],"check":"oracle 2","expected":[[-2,-2,5],[-2,-2,5],[5,-2,5]],"passed":false},{"actual":[[0,-1,3],[1,-1,3],[2,-1,3]],"check":"oracle 3","expected":[[0,-1,2],[1,-1,2],[2,-1,2]],"passed":false},{"actual":[],"check":"oracle 4","expected":[],"passed":true},{"actual":[[-6,-6,10],[9,-6,10],[10,-6,10]],"check":"oracle 5","expected":[[-6,-6,9],[9,-6,9],[9,-6,9]],"passed":false},{"actual":[[0,0,2],[1,0,2]],"check":"oracle 6","expected":[[0,0,1],[1,0,1]],"passed":false},{"actual":[[-3,-5,3],[-1,-5,3],[2,-5,3]],"check":"oracle 7","expected":[[-3,-5,2],[-1,-5,2],[2,-5,2]],"passed":false},{"actual":[[-3,-3,5],[0,-3,5],[4,-3,5],[5,-3,5],[-3,-3,5],[0,-3,5],[4,-3,5],[5,-3,5]],"check":"variant packet 1","expected":[[-3,-3,4],[0,-3,4],[4,-3,4],[4,-3,4],[-3,-3,4],[0,-3,4],[4,-3,4],[4,-3,4]],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [[-3, -3, 5], [0, -3, 5], [4, -3, 5], [5, -3, 5]], \"expected\": [[-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4]], \"passed\": false}, {\"check\": \"oracle 2\", \"actual\": [[-2, -2, 6], [-2, -2, 6], [6, -2, 6]], \"expected\": [[-2, -2, 5], [-2, -2, 5], [5, -2, 5]], \"passed\": false}, {\"check\": \"oracle 3\", \"actual\": [[0, -1, 3], [1, -1, 3], [2, -1, 3]], \"expected\": [[0, -1, 2], [1, -1, 2], [2, -1, 2]], \"passed\": false}, {\"check\": \"oracle 4\", \"actual\": [], \"expected\": [], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [[-6, -6, 10], [9, -6, 10], [10, -6, 10]], \"expected\": [[-6, -6, 9], [9, -6, 9], [9, -6, 9]], \"passed\": false}, {\"check\": \"oracle 6\", \"actual\": [[0, 0, 2], [1, 0, 2]], \"expected\": [[0, 0, 1], [1, 0, 1]], \"passed\": false}, {\"check\": \"oracle 7\", \"actual\": [[-3, -5, 3], [-1, -5, 3], [2, -5, 3]], \"expected\": [[-3, -5, 2], [-1, -5, 2], [2, -5, 2]], \"passed\": false}, {\"check\": \"variant packet 1\", \"actual\": [[-3, -3, 5], [0, -3, 5], [4, -3, 5], [5, -3, 5], [-3, -3, 5], [0, -3, 5], [4, -3, 5], [5, -3, 5]], \"expected\": [[-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4], [-3, -3, 4], [0, -3, 4], [4, -3, 4], [4, -3, 4]], \"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."}}