{"abstract":"Unclipped error calculation discards prior feedback contribution.","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.","evaluation_group":"s3-pcm-pcm-feedback-saturation","failed_approach":"Code-domain subtraction does not recover input-domain error.","family":"s3-pcm-pcm-feedback-saturation-error-source","id":"FA-49686","implementations":{"attempt":{"sha256":"ed71c3c8df70c10834081cfe99a123800a1d189ed488d0e23394ea1382ff6b58","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,quantized))\n        clipped=code!=quantized\n        error=0 if clipped else candidate-code\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":"c52e1ba4c60efd8fa770f334639f053ca7d4614a0a9f1c03803fbb2951582a38","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,quantized))\n        clipped=code!=quantized\n        error=0 if clipped else sample-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"},"fixed":{"sha256":"58b3ef2e2c07e8fce564cabac9b0a42e7dabdb2c28bff34a39b0849c02fe6c5c","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,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"}},"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-error-source","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.","repair":"Use the stated conversion contract at error source.","root_cause":"Unclipped error calculation discards prior feedback contribution.","sha256":"c63185016e19efcef4b6439273a7d7849d48c632dabcf4fb759516bf44dd2075","title":"Pcm feedback saturation: error source · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":40.44,"exit_code":1,"observations":[{"actual":[[[1,false],[1,false],[3,true],[1,false],[1,false]],0],"check":"oracle 1","expected":[[[1,false],[0,false],[3,true],[1,false],[0,false]],0],"passed":false},{"actual":[[[-3,true],[0,false],[-1,false]],-1],"check":"oracle 2","expected":[[[-3,true],[0,false],[-1,false]],0],"passed":false},{"actual":[[[3,false],[-1,false]],-2],"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]],2],"check":"oracle 5","expected":[[[0,false],[0,false],[1,false],[2,false]],-1],"passed":false},{"actual":[[[3,true],[0,false],[-3,false],[-2,false]],-2],"check":"oracle 6","expected":[[[3,true],[0,false],[-3,false],[0,false]],-1],"passed":false},{"actual":[[[1,true],[1,false],[1,true]],0],"check":"oracle 7","expected":[[[1,true],[1,false],[1,false]],0],"passed":false},{"actual":[[[1,false],[1,false],[3,true],[1,false],[1,false],[1,false],[1,false],[3,true],[1,false],[1,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":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [[[1, false], [1, false], [3, true], [1, false], [1, false]], 0], \"expected\": [[[1, false], [0, false], [3, true], [1, false], [0, false]], 0], \"passed\": false}, {\"check\": \"oracle 2\", \"actual\": [[[-3, true], [0, false], [-1, false]], -1], \"expected\": [[[-3, true], [0, false], [-1, false]], 0], \"passed\": false}, {\"check\": \"oracle 3\", \"actual\": [[[3, false], [-1, false]], -2], \"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]], 2], \"expected\": [[[0, false], [0, false], [1, false], [2, false]], -1], \"passed\": false}, {\"check\": \"oracle 6\", \"actual\": [[[3, true], [0, false], [-3, false], [-2, false]], -2], \"expected\": [[[3, true], [0, false], [-3, false], [0, false]], -1], \"passed\": false}, {\"check\": \"oracle 7\", \"actual\": [[[1, true], [1, false], [1, true]], 0], \"expected\": [[[1, true], [1, false], [1, false]], 0], \"passed\": false}, {\"check\": \"variant packet 1\", \"actual\": [[[1, false], [1, false], [3, true], [1, false], [1, false], [1, false], [1, false], [3, true], [1, false], [1, 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\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":39.138,"exit_code":1,"observations":[{"actual":[[[1,false],[0,false],[3,true],[1,false],[0,false]],1],"check":"oracle 1","expected":[[[1,false],[0,false],[3,true],[1,false],[0,false]],0],"passed":false},{"actual":[[[-3,true],[0,false],[-1,false]],1],"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":[[[0,false],[1,false],[1,false],[2,false]],-1],"check":"oracle 5","expected":[[[0,false],[0,false],[1,false],[2,false]],-1],"passed":false},{"actual":[[[3,true],[0,false],[-3,false],[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]],1],"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":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [[[1, false], [0, false], [3, true], [1, false], [0, false]], 1], \"expected\": [[[1, false], [0, false], [3, true], [1, false], [0, false]], 0], \"passed\": false}, {\"check\": \"oracle 2\", \"actual\": [[[-3, true], [0, false], [-1, false]], 1], \"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\": [[[0, false], [1, false], [1, false], [2, false]], -1], \"expected\": [[[0, false], [0, false], [1, false], [2, false]], -1], \"passed\": false}, {\"check\": \"oracle 6\", \"actual\": [[[3, true], [0, false], [-3, false], [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]], 1], \"expected\": [[[1, false], [0, false], [3, true], [1, false], [0, false], [1, false], [0, false], [3, true], [1, false], [0, false]], 0], \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":39.042,"exit_code":0,"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],[0,false],[-1,false]],0],"check":"oracle 2","expected":[[[-3,true],[0,false],[-1,false]],0],"passed":true},{"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":[[[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],[-3,false],[0,false]],-1],"check":"oracle 6","expected":[[[3,true],[0,false],[-3,false],[0,false]],-1],"passed":true},{"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":true,"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], [0, false], [-1, false]], 0], \"expected\": [[[-3, true], [0, false], [-1, false]], 0], \"passed\": true}, {\"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\": [[[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], [-3, false], [0, false]], -1], \"expected\": [[[3, true], [0, false], [-3, false], [0, false]], -1], \"passed\": true}, {\"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\": true}\n"}},"verified":true,"visibility":"public"}