{"abstract":"Residual polarity is reversed.","category":"PCM sample encoding","checks":8,"contract":"Generate signed PCM residuals relative to the previous amplitude; reset at explicit sample positions and return the final amplitude continuation seed.","evaluation_group":"s3-pcm-pcm-delta-generation","failed_approach":"Adding predictor does not cancel the predicted level.","family":"s3-pcm-pcm-delta-generation-residual-order","id":"FA-49251","implementations":{"attempt":{"sha256":"408ed6684087a33c1656a1bd13d327cf86dad70979f008ef8934293fd8abdd23","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(samples, initial, reset_positions):\n    previous=initial\n    out=[]\n    for i,sample in enumerate(samples):\n        if i in reset_positions:\n            previous=initial\n        out.append(sample+previous)\n        previous=sample\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(*([12, 11, 14], 10, [])), [[2, -1, 3], 14])\ncheck('oracle 2', solve(*([3, 7, 9, 5], 2, [2])), [[1, 4, 7, -4], 5])\ncheck('oracle 3', solve(*([], -7, [])), [[], -7])\ncheck('oracle 4', solve(*([-3, -4], -2, [])), [[-1, -1], -4])\ncheck('oracle 5', solve(*([0, 0], 5, [1])), [[-5, -5], 0])\ncheck('oracle 6', solve(*([1], 0, [])), [[1], 1])\ncheck('oracle 7', solve(*([1, 2, 3], 4, [0, 1, 2])), [[-3, -2, -1], 3])\nif N == 1: check('variant packet 1', solve(*[[12, 11, 14, 12, 11, 14], 10, []]), [[2, -1, 3, -2, -1, 3], 14])\nif N == 2: check('variant packet 2', solve(*[[12, 11, 14, 12, 11, 14, 12, 11, 14], 10, []]), [[2, -1, 3, -2, -1, 3, -2, -1, 3], 14])\nif N == 3: check('variant packet 3', solve(*[[12, 11, 14, 12, 11, 14, 12, 11, 14, 12, 11, 14], 10, []]), [[2, -1, 3, -2, -1, 3, -2, -1, 3, -2, -1, 3], 14])\nif N == 4: check('variant packet 4', solve(*[[12, 11, 14, 12, 11, 14, 12, 11, 14, 12, 11, 14, 12, 11, 14], 10, []]), [[2, -1, 3, -2, -1, 3, -2, -1, 3, -2, -1, 3, -2, -1, 3], 14])\nif N == 5: check('variant packet 5', solve(*[[12, 11, 14, 12, 11, 14, 12, 11, 14, 12, 11, 14, 12, 11, 14, 12, 11, 14], 10, []]), [[2, -1, 3, -2, -1, 3, -2, -1, 3, -2, -1, 3, -2, -1, 3, -2, -1, 3], 14])\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":"8d9d80dbace61ddf22dd1b4f4a5f7ab222351dbd7fc6555aca7e4fc6588d15d5","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(samples, initial, reset_positions):\n    previous=initial\n    out=[]\n    for i,sample in enumerate(samples):\n        if i in reset_positions:\n            previous=initial\n        out.append(previous-sample)\n        previous=sample\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(*([12, 11, 14], 10, [])), [[2, -1, 3], 14])\ncheck('oracle 2', solve(*([3, 7, 9, 5], 2, [2])), [[1, 4, 7, -4], 5])\ncheck('oracle 3', solve(*([], -7, [])), [[], -7])\ncheck('oracle 4', solve(*([-3, -4], -2, [])), [[-1, -1], -4])\ncheck('oracle 5', solve(*([0, 0], 5, [1])), [[-5, -5], 0])\ncheck('oracle 6', solve(*([1], 0, [])), [[1], 1])\ncheck('oracle 7', solve(*([1, 2, 3], 4, [0, 1, 2])), [[-3, -2, -1], 3])\nif N == 1: check('variant packet 1', solve(*[[12, 11, 14, 12, 11, 14], 10, []]), [[2, -1, 3, -2, -1, 3], 14])\nif N == 2: check('variant packet 2', solve(*[[12, 11, 14, 12, 11, 14, 12, 11, 14], 10, []]), [[2, -1, 3, -2, -1, 3, -2, -1, 3], 14])\nif N == 3: check('variant packet 3', solve(*[[12, 11, 14, 12, 11, 14, 12, 11, 14, 12, 11, 14], 10, []]), [[2, -1, 3, -2, -1, 3, -2, -1, 3, -2, -1, 3], 14])\nif N == 4: check('variant packet 4', solve(*[[12, 11, 14, 12, 11, 14, 12, 11, 14, 12, 11, 14, 12, 11, 14], 10, []]), [[2, -1, 3, -2, -1, 3, -2, -1, 3, -2, -1, 3, -2, -1, 3], 14])\nif N == 5: check('variant packet 5', solve(*[[12, 11, 14, 12, 11, 14, 12, 11, 14, 12, 11, 14, 12, 11, 14, 12, 11, 14], 10, []]), [[2, -1, 3, -2, -1, 3, -2, -1, 3, -2, -1, 3, -2, -1, 3, -2, -1, 3], 14])\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":"636466d6ee47e6fa42469739634988d453e56ae1440e52f5d832f00c21d4db79","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(samples, initial, reset_positions):\n    previous=initial\n    out=[]\n    for i,sample in enumerate(samples):\n        if i in reset_positions:\n            previous=initial\n        out.append(sample-previous)\n        previous=sample\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(*([12, 11, 14], 10, [])), [[2, -1, 3], 14])\ncheck('oracle 2', solve(*([3, 7, 9, 5], 2, [2])), [[1, 4, 7, -4], 5])\ncheck('oracle 3', solve(*([], -7, [])), [[], -7])\ncheck('oracle 4', solve(*([-3, -4], -2, [])), [[-1, -1], -4])\ncheck('oracle 5', solve(*([0, 0], 5, [1])), [[-5, -5], 0])\ncheck('oracle 6', solve(*([1], 0, [])), [[1], 1])\ncheck('oracle 7', solve(*([1, 2, 3], 4, [0, 1, 2])), [[-3, -2, -1], 3])\nif N == 1: check('variant packet 1', solve(*[[12, 11, 14, 12, 11, 14], 10, []]), [[2, -1, 3, -2, -1, 3], 14])\nif N == 2: check('variant packet 2', solve(*[[12, 11, 14, 12, 11, 14, 12, 11, 14], 10, []]), [[2, -1, 3, -2, -1, 3, -2, -1, 3], 14])\nif N == 3: check('variant packet 3', solve(*[[12, 11, 14, 12, 11, 14, 12, 11, 14, 12, 11, 14], 10, []]), [[2, -1, 3, -2, -1, 3, -2, -1, 3, -2, -1, 3], 14])\nif N == 4: check('variant packet 4', solve(*[[12, 11, 14, 12, 11, 14, 12, 11, 14, 12, 11, 14, 12, 11, 14], 10, []]), [[2, -1, 3, -2, -1, 3, -2, -1, 3, -2, -1, 3, -2, -1, 3], 14])\nif N == 5: check('variant packet 5', solve(*[[12, 11, 14, 12, 11, 14, 12, 11, 14, 12, 11, 14, 12, 11, 14, 12, 11, 14], 10, []]), [[2, -1, 3, -2, -1, 3, -2, -1, 3, -2, -1, 3, -2, -1, 3, -2, -1, 3], 14])\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-generation-residual-order","generated_at":"2026-09-29T14:44:58.266587+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 residual order.","root_cause":"Residual polarity is reversed.","sha256":"4ede106fb300c6067844ac2e9f2dfb58dd1aa5b3bbc88212e595da47602490ce","title":"Pcm delta generation: residual order · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":45.122,"exit_code":1,"observations":[{"actual":[[22,23,25],14],"check":"oracle 1","expected":[[2,-1,3],14],"passed":false},{"actual":[[5,10,11,14],5],"check":"oracle 2","expected":[[1,4,7,-4],5],"passed":false},{"actual":[[],-7],"check":"oracle 3","expected":[[],-7],"passed":true},{"actual":[[-5,-7],-4],"check":"oracle 4","expected":[[-1,-1],-4],"passed":false},{"actual":[[5,5],0],"check":"oracle 5","expected":[[-5,-5],0],"passed":false},{"actual":[[1],1],"check":"oracle 6","expected":[[1],1],"passed":true},{"actual":[[5,6,7],3],"check":"oracle 7","expected":[[-3,-2,-1],3],"passed":false},{"actual":[[22,23,25,26,23,25],14],"check":"variant packet 1","expected":[[2,-1,3,-2,-1,3],14],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [[22, 23, 25], 14], \"expected\": [[2, -1, 3], 14], \"passed\": false}, {\"check\": \"oracle 2\", \"actual\": [[5, 10, 11, 14], 5], \"expected\": [[1, 4, 7, -4], 5], \"passed\": false}, {\"check\": \"oracle 3\", \"actual\": [[], -7], \"expected\": [[], -7], \"passed\": true}, {\"check\": \"oracle 4\", \"actual\": [[-5, -7], -4], \"expected\": [[-1, -1], -4], \"passed\": false}, {\"check\": \"oracle 5\", \"actual\": [[5, 5], 0], \"expected\": [[-5, -5], 0], \"passed\": false}, {\"check\": \"oracle 6\", \"actual\": [[1], 1], \"expected\": [[1], 1], \"passed\": true}, {\"check\": \"oracle 7\", \"actual\": [[5, 6, 7], 3], \"expected\": [[-3, -2, -1], 3], \"passed\": false}, {\"check\": \"variant packet 1\", \"actual\": [[22, 23, 25, 26, 23, 25], 14], \"expected\": [[2, -1, 3, -2, -1, 3], 14], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":41.055,"exit_code":1,"observations":[{"actual":[[-2,1,-3],14],"check":"oracle 1","expected":[[2,-1,3],14],"passed":false},{"actual":[[-1,-4,-7,4],5],"check":"oracle 2","expected":[[1,4,7,-4],5],"passed":false},{"actual":[[],-7],"check":"oracle 3","expected":[[],-7],"passed":true},{"actual":[[1,1],-4],"check":"oracle 4","expected":[[-1,-1],-4],"passed":false},{"actual":[[5,5],0],"check":"oracle 5","expected":[[-5,-5],0],"passed":false},{"actual":[[-1],1],"check":"oracle 6","expected":[[1],1],"passed":false},{"actual":[[3,2,1],3],"check":"oracle 7","expected":[[-3,-2,-1],3],"passed":false},{"actual":[[-2,1,-3,2,1,-3],14],"check":"variant packet 1","expected":[[2,-1,3,-2,-1,3],14],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [[-2, 1, -3], 14], \"expected\": [[2, -1, 3], 14], \"passed\": false}, {\"check\": \"oracle 2\", \"actual\": [[-1, -4, -7, 4], 5], \"expected\": [[1, 4, 7, -4], 5], \"passed\": false}, {\"check\": \"oracle 3\", \"actual\": [[], -7], \"expected\": [[], -7], \"passed\": true}, {\"check\": \"oracle 4\", \"actual\": [[1, 1], -4], \"expected\": [[-1, -1], -4], \"passed\": false}, {\"check\": \"oracle 5\", \"actual\": [[5, 5], 0], \"expected\": [[-5, -5], 0], \"passed\": false}, {\"check\": \"oracle 6\", \"actual\": [[-1], 1], \"expected\": [[1], 1], \"passed\": false}, {\"check\": \"oracle 7\", \"actual\": [[3, 2, 1], 3], \"expected\": [[-3, -2, -1], 3], \"passed\": false}, {\"check\": \"variant packet 1\", \"actual\": [[-2, 1, -3, 2, 1, -3], 14], \"expected\": [[2, -1, 3, -2, -1, 3], 14], \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":44.614,"exit_code":0,"observations":[{"actual":[[2,-1,3],14],"check":"oracle 1","expected":[[2,-1,3],14],"passed":true},{"actual":[[1,4,7,-4],5],"check":"oracle 2","expected":[[1,4,7,-4],5],"passed":true},{"actual":[[],-7],"check":"oracle 3","expected":[[],-7],"passed":true},{"actual":[[-1,-1],-4],"check":"oracle 4","expected":[[-1,-1],-4],"passed":true},{"actual":[[-5,-5],0],"check":"oracle 5","expected":[[-5,-5],0],"passed":true},{"actual":[[1],1],"check":"oracle 6","expected":[[1],1],"passed":true},{"actual":[[-3,-2,-1],3],"check":"oracle 7","expected":[[-3,-2,-1],3],"passed":true},{"actual":[[2,-1,3,-2,-1,3],14],"check":"variant packet 1","expected":[[2,-1,3,-2,-1,3],14],"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [[2, -1, 3], 14], \"expected\": [[2, -1, 3], 14], \"passed\": true}, {\"check\": \"oracle 2\", \"actual\": [[1, 4, 7, -4], 5], \"expected\": [[1, 4, 7, -4], 5], \"passed\": true}, {\"check\": \"oracle 3\", \"actual\": [[], -7], \"expected\": [[], -7], \"passed\": true}, {\"check\": \"oracle 4\", \"actual\": [[-1, -1], -4], \"expected\": [[-1, -1], -4], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [[-5, -5], 0], \"expected\": [[-5, -5], 0], \"passed\": true}, {\"check\": \"oracle 6\", \"actual\": [[1], 1], \"expected\": [[1], 1], \"passed\": true}, {\"check\": \"oracle 7\", \"actual\": [[-3, -2, -1], 3], \"expected\": [[-3, -2, -1], 3], \"passed\": true}, {\"check\": \"variant packet 1\", \"actual\": [[2, -1, 3, -2, -1, 3], 14], \"expected\": [[2, -1, 3, -2, -1, 3], 14], \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}