{"abstract":"PCM difference reconstruction discards the packet seed.","category":"PCM sample encoding","checks":8,"contract":"Reconstruct bounded delta-coded PCM from a seed and explicit sample-index resets before residual application, returning the continuation predictor.","evaluation_group":"s3-pcm-pcm-delta-reconstruction","failed_approach":"Negating the seed reverses the initial DC value.","family":"s3-pcm-pcm-delta-reconstruction-initial-predictor","id":"FA-49216","implementations":{"attempt":{"sha256":"d725ef7cb5de754a11c69da941adde50dc523b78ddf08165fb43986b49abe4ea","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(deltas, initial, reset_positions):\n    previous=-initial\n    out=[]\n    for i,delta in enumerate(deltas):\n        if i in reset_positions:\n            previous=initial\n        previous+=delta\n        out.append(previous)\n    return [out,previous]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('oracle 1', solve(*([2, -1, 3], 10, [])), [[12, 11, 14], 14])\ncheck('oracle 2', solve(*([1, 2, 3, 4], 5, [2])), [[6, 8, 8, 12], 12])\ncheck('oracle 3', solve(*([], 7, [])), [[], 7])\ncheck('oracle 4', solve(*([0, 0], -3, [0])), [[-3, -3], -3])\ncheck('oracle 5', solve(*([-2, 4, -1], 0, [1])), [[-2, 4, 3], 3])\ncheck('oracle 6', solve(*([3], 2, [])), [[5], 5])\ncheck('oracle 7', solve(*([1, 1, 1], 1, [0, 1, 2])), [[2, 2, 2], 2])\nif N == 1: check('variant packet 1', solve(*[[2, -1, 3, 2, -1, 3], 10, []]), [[12, 11, 14, 16, 15, 18], 18])\nif N == 2: check('variant packet 2', solve(*[[2, -1, 3, 2, -1, 3, 2, -1, 3], 10, []]), [[12, 11, 14, 16, 15, 18, 20, 19, 22], 22])\nif N == 3: check('variant packet 3', solve(*[[2, -1, 3, 2, -1, 3, 2, -1, 3, 2, -1, 3], 10, []]), [[12, 11, 14, 16, 15, 18, 20, 19, 22, 24, 23, 26], 26])\nif N == 4: check('variant packet 4', solve(*[[2, -1, 3, 2, -1, 3, 2, -1, 3, 2, -1, 3, 2, -1, 3], 10, []]), [[12, 11, 14, 16, 15, 18, 20, 19, 22, 24, 23, 26, 28, 27, 30], 30])\nif N == 5: check('variant packet 5', solve(*[[2, -1, 3, 2, -1, 3, 2, -1, 3, 2, -1, 3, 2, -1, 3, 2, -1, 3], 10, []]), [[12, 11, 14, 16, 15, 18, 20, 19, 22, 24, 23, 26, 28, 27, 30, 32, 31, 34], 34])\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":"b10bc6f862db249f7e2c2c8e38c9a99da69b1e7bd6e1bf2e05bc3c75158628d9","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(deltas, initial, reset_positions):\n    previous=0\n    out=[]\n    for i,delta in enumerate(deltas):\n        if i in reset_positions:\n            previous=initial\n        previous+=delta\n        out.append(previous)\n    return [out,previous]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('oracle 1', solve(*([2, -1, 3], 10, [])), [[12, 11, 14], 14])\ncheck('oracle 2', solve(*([1, 2, 3, 4], 5, [2])), [[6, 8, 8, 12], 12])\ncheck('oracle 3', solve(*([], 7, [])), [[], 7])\ncheck('oracle 4', solve(*([0, 0], -3, [0])), [[-3, -3], -3])\ncheck('oracle 5', solve(*([-2, 4, -1], 0, [1])), [[-2, 4, 3], 3])\ncheck('oracle 6', solve(*([3], 2, [])), [[5], 5])\ncheck('oracle 7', solve(*([1, 1, 1], 1, [0, 1, 2])), [[2, 2, 2], 2])\nif N == 1: check('variant packet 1', solve(*[[2, -1, 3, 2, -1, 3], 10, []]), [[12, 11, 14, 16, 15, 18], 18])\nif N == 2: check('variant packet 2', solve(*[[2, -1, 3, 2, -1, 3, 2, -1, 3], 10, []]), [[12, 11, 14, 16, 15, 18, 20, 19, 22], 22])\nif N == 3: check('variant packet 3', solve(*[[2, -1, 3, 2, -1, 3, 2, -1, 3, 2, -1, 3], 10, []]), [[12, 11, 14, 16, 15, 18, 20, 19, 22, 24, 23, 26], 26])\nif N == 4: check('variant packet 4', solve(*[[2, -1, 3, 2, -1, 3, 2, -1, 3, 2, -1, 3, 2, -1, 3], 10, []]), [[12, 11, 14, 16, 15, 18, 20, 19, 22, 24, 23, 26, 28, 27, 30], 30])\nif N == 5: check('variant packet 5', solve(*[[2, -1, 3, 2, -1, 3, 2, -1, 3, 2, -1, 3, 2, -1, 3, 2, -1, 3], 10, []]), [[12, 11, 14, 16, 15, 18, 20, 19, 22, 24, 23, 26, 28, 27, 30, 32, 31, 34], 34])\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":"7a2542fc018856e5d2479ea2204d465ae6c94048c48d0793d6c34727392a72b4","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(deltas, initial, reset_positions):\n    previous=initial\n    out=[]\n    for i,delta in enumerate(deltas):\n        if i in reset_positions:\n            previous=initial\n        previous+=delta\n        out.append(previous)\n    return [out,previous]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('oracle 1', solve(*([2, -1, 3], 10, [])), [[12, 11, 14], 14])\ncheck('oracle 2', solve(*([1, 2, 3, 4], 5, [2])), [[6, 8, 8, 12], 12])\ncheck('oracle 3', solve(*([], 7, [])), [[], 7])\ncheck('oracle 4', solve(*([0, 0], -3, [0])), [[-3, -3], -3])\ncheck('oracle 5', solve(*([-2, 4, -1], 0, [1])), [[-2, 4, 3], 3])\ncheck('oracle 6', solve(*([3], 2, [])), [[5], 5])\ncheck('oracle 7', solve(*([1, 1, 1], 1, [0, 1, 2])), [[2, 2, 2], 2])\nif N == 1: check('variant packet 1', solve(*[[2, -1, 3, 2, -1, 3], 10, []]), [[12, 11, 14, 16, 15, 18], 18])\nif N == 2: check('variant packet 2', solve(*[[2, -1, 3, 2, -1, 3, 2, -1, 3], 10, []]), [[12, 11, 14, 16, 15, 18, 20, 19, 22], 22])\nif N == 3: check('variant packet 3', solve(*[[2, -1, 3, 2, -1, 3, 2, -1, 3, 2, -1, 3], 10, []]), [[12, 11, 14, 16, 15, 18, 20, 19, 22, 24, 23, 26], 26])\nif N == 4: check('variant packet 4', solve(*[[2, -1, 3, 2, -1, 3, 2, -1, 3, 2, -1, 3, 2, -1, 3], 10, []]), [[12, 11, 14, 16, 15, 18, 20, 19, 22, 24, 23, 26, 28, 27, 30], 30])\nif N == 5: check('variant packet 5', solve(*[[2, -1, 3, 2, -1, 3, 2, -1, 3, 2, -1, 3, 2, -1, 3, 2, -1, 3], 10, []]), [[12, 11, 14, 16, 15, 18, 20, 19, 22, 24, 23, 26, 28, 27, 30, 32, 31, 34], 34])\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-delta-reconstruction-initial-predictor","generated_at":"2026-09-29T14:44:57.906505+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 initial predictor.","root_cause":"PCM difference reconstruction discards the packet seed.","sha256":"e82bd281951948374547b5886b74eb52c1f0dce3f55492b6c97dad669a573a25","title":"Pcm delta reconstruction: initial predictor · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":40.502,"exit_code":1,"observations":[{"actual":[[-8,-9,-6],-6],"check":"oracle 1","expected":[[12,11,14],14],"passed":false},{"actual":[[-4,-2,8,12],12],"check":"oracle 2","expected":[[6,8,8,12],12],"passed":false},{"actual":[[],-7],"check":"oracle 3","expected":[[],7],"passed":false},{"actual":[[-3,-3],-3],"check":"oracle 4","expected":[[-3,-3],-3],"passed":true},{"actual":[[-2,4,3],3],"check":"oracle 5","expected":[[-2,4,3],3],"passed":true},{"actual":[[1],1],"check":"oracle 6","expected":[[5],5],"passed":false},{"actual":[[2,2,2],2],"check":"oracle 7","expected":[[2,2,2],2],"passed":true},{"actual":[[-8,-9,-6,-4,-5,-2],-2],"check":"variant packet 1","expected":[[12,11,14,16,15,18],18],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [[-8, -9, -6], -6], \"expected\": [[12, 11, 14], 14], \"passed\": false}, {\"check\": \"oracle 2\", \"actual\": [[-4, -2, 8, 12], 12], \"expected\": [[6, 8, 8, 12], 12], \"passed\": false}, {\"check\": \"oracle 3\", \"actual\": [[], -7], \"expected\": [[], 7], \"passed\": false}, {\"check\": \"oracle 4\", \"actual\": [[-3, -3], -3], \"expected\": [[-3, -3], -3], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [[-2, 4, 3], 3], \"expected\": [[-2, 4, 3], 3], \"passed\": true}, {\"check\": \"oracle 6\", \"actual\": [[1], 1], \"expected\": [[5], 5], \"passed\": false}, {\"check\": \"oracle 7\", \"actual\": [[2, 2, 2], 2], \"expected\": [[2, 2, 2], 2], \"passed\": true}, {\"check\": \"variant packet 1\", \"actual\": [[-8, -9, -6, -4, -5, -2], -2], \"expected\": [[12, 11, 14, 16, 15, 18], 18], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":41.156,"exit_code":1,"observations":[{"actual":[[2,1,4],4],"check":"oracle 1","expected":[[12,11,14],14],"passed":false},{"actual":[[1,3,8,12],12],"check":"oracle 2","expected":[[6,8,8,12],12],"passed":false},{"actual":[[],0],"check":"oracle 3","expected":[[],7],"passed":false},{"actual":[[-3,-3],-3],"check":"oracle 4","expected":[[-3,-3],-3],"passed":true},{"actual":[[-2,4,3],3],"check":"oracle 5","expected":[[-2,4,3],3],"passed":true},{"actual":[[3],3],"check":"oracle 6","expected":[[5],5],"passed":false},{"actual":[[2,2,2],2],"check":"oracle 7","expected":[[2,2,2],2],"passed":true},{"actual":[[2,1,4,6,5,8],8],"check":"variant packet 1","expected":[[12,11,14,16,15,18],18],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [[2, 1, 4], 4], \"expected\": [[12, 11, 14], 14], \"passed\": false}, {\"check\": \"oracle 2\", \"actual\": [[1, 3, 8, 12], 12], \"expected\": [[6, 8, 8, 12], 12], \"passed\": false}, {\"check\": \"oracle 3\", \"actual\": [[], 0], \"expected\": [[], 7], \"passed\": false}, {\"check\": \"oracle 4\", \"actual\": [[-3, -3], -3], \"expected\": [[-3, -3], -3], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [[-2, 4, 3], 3], \"expected\": [[-2, 4, 3], 3], \"passed\": true}, {\"check\": \"oracle 6\", \"actual\": [[3], 3], \"expected\": [[5], 5], \"passed\": false}, {\"check\": \"oracle 7\", \"actual\": [[2, 2, 2], 2], \"expected\": [[2, 2, 2], 2], \"passed\": true}, {\"check\": \"variant packet 1\", \"actual\": [[2, 1, 4, 6, 5, 8], 8], \"expected\": [[12, 11, 14, 16, 15, 18], 18], \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":41.973,"exit_code":0,"observations":[{"actual":[[12,11,14],14],"check":"oracle 1","expected":[[12,11,14],14],"passed":true},{"actual":[[6,8,8,12],12],"check":"oracle 2","expected":[[6,8,8,12],12],"passed":true},{"actual":[[],7],"check":"oracle 3","expected":[[],7],"passed":true},{"actual":[[-3,-3],-3],"check":"oracle 4","expected":[[-3,-3],-3],"passed":true},{"actual":[[-2,4,3],3],"check":"oracle 5","expected":[[-2,4,3],3],"passed":true},{"actual":[[5],5],"check":"oracle 6","expected":[[5],5],"passed":true},{"actual":[[2,2,2],2],"check":"oracle 7","expected":[[2,2,2],2],"passed":true},{"actual":[[12,11,14,16,15,18],18],"check":"variant packet 1","expected":[[12,11,14,16,15,18],18],"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [[12, 11, 14], 14], \"expected\": [[12, 11, 14], 14], \"passed\": true}, {\"check\": \"oracle 2\", \"actual\": [[6, 8, 8, 12], 12], \"expected\": [[6, 8, 8, 12], 12], \"passed\": true}, {\"check\": \"oracle 3\", \"actual\": [[], 7], \"expected\": [[], 7], \"passed\": true}, {\"check\": \"oracle 4\", \"actual\": [[-3, -3], -3], \"expected\": [[-3, -3], -3], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [[-2, 4, 3], 3], \"expected\": [[-2, 4, 3], 3], \"passed\": true}, {\"check\": \"oracle 6\", \"actual\": [[5], 5], \"expected\": [[5], 5], \"passed\": true}, {\"check\": \"oracle 7\", \"actual\": [[2, 2, 2], 2], \"expected\": [[2, 2, 2], 2], \"passed\": true}, {\"check\": \"variant packet 1\", \"actual\": [[12, 11, 14, 16, 15, 18], 18], \"expected\": [[12, 11, 14, 16, 15, 18], 18], \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}