{"abstract":"Input-domain amplitude is clamped directly as output code.","category":"PCM sample encoding","checks":8,"contract":"Bounded PCM error-feedback precision reduction with overload detection and explicit anti-windup reset only when output code saturation changes quantized value.","contract_signature":"samples, limit, error","evaluation_group":"s3-pcm-pcm-feedback-saturation","failed_approach":"Unsigned clamping erases negative PCM codes.","family":"s3-pcm-pcm-feedback-saturation-clamp-order","id":"FA-49681","implementations":{"attempt":{"sha256":"5d0545ba65cb25978ae8adf3a552bf37811c6667d144681e6fb27d306d1d787a","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(samples, limit, error):\n    out=[]\n    for sample in samples:\n        candidate=sample+error\n        quantized=(candidate+1)//2\n        code=max(0,min(limit,quantized))\n        clipped=code!=quantized\n        error=0 if clipped else candidate-code*2\n        out.append([code,clipped])\n    return [out,error]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('oracle 1', solve(*([1, 1, 20, 1, 1], 3, 0)), [[[1, False], [0, False], [3, True], [1, False], [0, False]], 0])\ncheck('oracle 2', solve(*([-20, -1, -1], 3, 1)), [[[-3, True], [0, False], [-1, False]], 0])\ncheck('oracle 3', solve(*([6, -6], 3, 0)), [[[3, False], [-3, False]], 0])\ncheck('oracle 4', solve(*([], 3, -1)), [[], -1])\ncheck('oracle 5', solve(*([0, 1, 2, 3], 2, -1)), [[[0, False], [0, False], [1, False], [2, False]], -1])\ncheck('oracle 6', solve(*([7, 0, -7, 0], 3, 0)), [[[3, True], [0, False], [-3, False], [0, False]], -1])\ncheck('oracle 7', solve(*([2, 2, 2], 1, 1)), [[[1, True], [1, False], [1, False]], 0])\nif N == 1: check('variant packet 1', solve(*[[1, 1, 20, 1, 1, 1, 1, 20, 1, 1], 3, 0]), [[[1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False]], 0])\nif N == 2: check('variant packet 2', solve(*[[1, 1, 20, 1, 1, 1, 1, 20, 1, 1, 1, 1, 20, 1, 1], 3, 0]), [[[1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False]], 0])\nif N == 3: check('variant packet 3', solve(*[[1, 1, 20, 1, 1, 1, 1, 20, 1, 1, 1, 1, 20, 1, 1, 1, 1, 20, 1, 1], 3, 0]), [[[1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False]], 0])\nif N == 4: check('variant packet 4', solve(*[[1, 1, 20, 1, 1, 1, 1, 20, 1, 1, 1, 1, 20, 1, 1, 1, 1, 20, 1, 1, 1, 1, 20, 1, 1], 3, 0]), [[[1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False]], 0])\nif N == 5: check('variant packet 5', solve(*[[1, 1, 20, 1, 1, 1, 1, 20, 1, 1, 1, 1, 20, 1, 1, 1, 1, 20, 1, 1, 1, 1, 20, 1, 1, 1, 1, 20, 1, 1], 3, 0]), [[[1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False]], 0])\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":"84b4cd7e94f7edbb43dbf2205988798b41fe1214078349b23f1f6c012a42a324","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(samples, limit, error):\n    out=[]\n    for sample in samples:\n        candidate=sample+error\n        quantized=(candidate+1)//2\n        code=max(-limit,min(limit,candidate))\n        clipped=code!=quantized\n        error=0 if clipped else candidate-code*2\n        out.append([code,clipped])\n    return [out,error]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('oracle 1', solve(*([1, 1, 20, 1, 1], 3, 0)), [[[1, False], [0, False], [3, True], [1, False], [0, False]], 0])\ncheck('oracle 2', solve(*([-20, -1, -1], 3, 1)), [[[-3, True], [0, False], [-1, False]], 0])\ncheck('oracle 3', solve(*([6, -6], 3, 0)), [[[3, False], [-3, False]], 0])\ncheck('oracle 4', solve(*([], 3, -1)), [[], -1])\ncheck('oracle 5', solve(*([0, 1, 2, 3], 2, -1)), [[[0, False], [0, False], [1, False], [2, False]], -1])\ncheck('oracle 6', solve(*([7, 0, -7, 0], 3, 0)), [[[3, True], [0, False], [-3, False], [0, False]], -1])\ncheck('oracle 7', solve(*([2, 2, 2], 1, 1)), [[[1, True], [1, False], [1, False]], 0])\nif N == 1: check('variant packet 1', solve(*[[1, 1, 20, 1, 1, 1, 1, 20, 1, 1], 3, 0]), [[[1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False]], 0])\nif N == 2: check('variant packet 2', solve(*[[1, 1, 20, 1, 1, 1, 1, 20, 1, 1, 1, 1, 20, 1, 1], 3, 0]), [[[1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False]], 0])\nif N == 3: check('variant packet 3', solve(*[[1, 1, 20, 1, 1, 1, 1, 20, 1, 1, 1, 1, 20, 1, 1, 1, 1, 20, 1, 1], 3, 0]), [[[1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False]], 0])\nif N == 4: check('variant packet 4', solve(*[[1, 1, 20, 1, 1, 1, 1, 20, 1, 1, 1, 1, 20, 1, 1, 1, 1, 20, 1, 1, 1, 1, 20, 1, 1], 3, 0]), [[[1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False]], 0])\nif N == 5: check('variant packet 5', solve(*[[1, 1, 20, 1, 1, 1, 1, 20, 1, 1, 1, 1, 20, 1, 1, 1, 1, 20, 1, 1, 1, 1, 20, 1, 1, 1, 1, 20, 1, 1], 3, 0]), [[[1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False], [1, False], [0, False], [3, True], [1, False], [0, False]], 0])\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-feedback-saturation-clamp-order","generated_at":"2026-09-29T14:45:02.251761+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":"Input-domain amplitude is clamped directly as output code.","sha256":"3ea86b205735450125a3f981239d1c476816ca8354915b46c56d3643c9164ded","title":"Pcm feedback saturation: clamp order · 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":40.297,"exit_code":1,"observations":[{"actual":[[[1,false],[0,false],[3,true],[1,false],[0,false]],0],"check":"oracle 1","expected":[[[1,false],[0,false],[3,true],[1,false],[0,false]],0],"passed":true},{"actual":[[[0,true],[0,false],[0,true]],0],"check":"oracle 2","expected":[[[-3,true],[0,false],[-1,false]],0],"passed":false},{"actual":[[[3,false],[0,true]],0],"check":"oracle 3","expected":[[[3,false],[-3,false]],0],"passed":false},{"actual":[[],-1],"check":"oracle 4","expected":[[],-1],"passed":true},{"actual":[[[0,false],[0,false],[1,false],[2,false]],-1],"check":"oracle 5","expected":[[[0,false],[0,false],[1,false],[2,false]],-1],"passed":true},{"actual":[[[3,true],[0,false],[0,true],[0,false]],0],"check":"oracle 6","expected":[[[3,true],[0,false],[-3,false],[0,false]],-1],"passed":false},{"actual":[[[1,true],[1,false],[1,false]],0],"check":"oracle 7","expected":[[[1,true],[1,false],[1,false]],0],"passed":true},{"actual":[[[1,false],[0,false],[3,true],[1,false],[0,false],[1,false],[0,false],[3,true],[1,false],[0,false]],0],"check":"variant packet 1","expected":[[[1,false],[0,false],[3,true],[1,false],[0,false],[1,false],[0,false],[3,true],[1,false],[0,false]],0],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [[[1, false], [0, false], [3, true], [1, false], [0, false]], 0], \"expected\": [[[1, false], [0, false], [3, true], [1, false], [0, false]], 0], \"passed\": true}, {\"check\": \"oracle 2\", \"actual\": [[[0, true], [0, false], [0, true]], 0], \"expected\": [[[-3, true], [0, false], [-1, false]], 0], \"passed\": false}, {\"check\": \"oracle 3\", \"actual\": [[[3, false], [0, true]], 0], \"expected\": [[[3, false], [-3, false]], 0], \"passed\": false}, {\"check\": \"oracle 4\", \"actual\": [[], -1], \"expected\": [[], -1], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [[[0, false], [0, false], [1, false], [2, false]], -1], \"expected\": [[[0, false], [0, false], [1, false], [2, false]], -1], \"passed\": true}, {\"check\": \"oracle 6\", \"actual\": [[[3, true], [0, false], [0, true], [0, false]], 0], \"expected\": [[[3, true], [0, false], [-3, false], [0, false]], -1], \"passed\": false}, {\"check\": \"oracle 7\", \"actual\": [[[1, true], [1, false], [1, false]], 0], \"expected\": [[[1, true], [1, false], [1, false]], 0], \"passed\": true}, {\"check\": \"variant packet 1\", \"actual\": [[[1, false], [0, false], [3, true], [1, false], [0, false], [1, false], [0, false], [3, true], [1, false], [0, false]], 0], \"expected\": [[[1, false], [0, false], [3, true], [1, false], [0, false], [1, false], [0, false], [3, true], [1, false], [0, false]], 0], \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":42.672,"exit_code":1,"observations":[{"actual":[[[1,false],[0,false],[3,true],[1,false],[0,false]],0],"check":"oracle 1","expected":[[[1,false],[0,false],[3,true],[1,false],[0,false]],0],"passed":true},{"actual":[[[-3,true],[-1,true],[-1,true]],0],"check":"oracle 2","expected":[[[-3,true],[0,false],[-1,false]],0],"passed":false},{"actual":[[[3,false],[-3,false]],0],"check":"oracle 3","expected":[[[3,false],[-3,false]],0],"passed":true},{"actual":[[],-1],"check":"oracle 4","expected":[[],-1],"passed":true},{"actual":[[[-1,true],[1,false],[1,false],[2,true]],0],"check":"oracle 5","expected":[[[0,false],[0,false],[1,false],[2,false]],-1],"passed":false},{"actual":[[[3,true],[0,false],[-3,false],[-1,true]],0],"check":"oracle 6","expected":[[[3,true],[0,false],[-3,false],[0,false]],-1],"passed":false},{"actual":[[[1,true],[1,false],[1,false]],0],"check":"oracle 7","expected":[[[1,true],[1,false],[1,false]],0],"passed":true},{"actual":[[[1,false],[0,false],[3,true],[1,false],[0,false],[1,false],[0,false],[3,true],[1,false],[0,false]],0],"check":"variant packet 1","expected":[[[1,false],[0,false],[3,true],[1,false],[0,false],[1,false],[0,false],[3,true],[1,false],[0,false]],0],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [[[1, false], [0, false], [3, true], [1, false], [0, false]], 0], \"expected\": [[[1, false], [0, false], [3, true], [1, false], [0, false]], 0], \"passed\": true}, {\"check\": \"oracle 2\", \"actual\": [[[-3, true], [-1, true], [-1, true]], 0], \"expected\": [[[-3, true], [0, false], [-1, false]], 0], \"passed\": false}, {\"check\": \"oracle 3\", \"actual\": [[[3, false], [-3, false]], 0], \"expected\": [[[3, false], [-3, false]], 0], \"passed\": true}, {\"check\": \"oracle 4\", \"actual\": [[], -1], \"expected\": [[], -1], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [[[-1, true], [1, false], [1, false], [2, true]], 0], \"expected\": [[[0, false], [0, false], [1, false], [2, false]], -1], \"passed\": false}, {\"check\": \"oracle 6\", \"actual\": [[[3, true], [0, false], [-3, false], [-1, true]], 0], \"expected\": [[[3, true], [0, false], [-3, false], [0, false]], -1], \"passed\": false}, {\"check\": \"oracle 7\", \"actual\": [[[1, true], [1, false], [1, false]], 0], \"expected\": [[[1, true], [1, false], [1, false]], 0], \"passed\": true}, {\"check\": \"variant packet 1\", \"actual\": [[[1, false], [0, false], [3, true], [1, false], [0, false], [1, false], [0, false], [3, true], [1, false], [0, false]], 0], \"expected\": [[[1, false], [0, false], [3, true], [1, false], [0, false], [1, false], [0, false], [3, true], [1, false], [0, false]], 0], \"passed\": true}], \"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."}}