{"abstract":"Residual sign is reversed inside PCM partitions.","category":"PCM sample encoding","checks":8,"contract":"PCM residual partitions optionally replace predictor with an absolute seed; continuation partitions ignore their seed field and empty partitions retain state transitions.","evaluation_group":"s3-pcm-pcm-residual-partition-seeds","failed_approach":"Replacing state with residual skips integration.","family":"s3-pcm-pcm-residual-partition-seeds-residual-direction","id":"FA-50181","implementations":{"attempt":{"sha256":"34f6322b2d57a98733cd458ba665c81afabf143f6da73ef689c6499b77445875","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(partitions, initial):\n    state=initial\n    out=[]\n    for reset,seed,residuals in partitions:\n        if reset:\n            state=seed\n        section=[]\n        for residual in residuals:\n            state=residual\n            section.append(state)\n        out.append(section)\n    return [out,state]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('oracle 1', solve(*([[True, 10, [1, 2]], [False, 99, [-1]]], 0)), [[[11, 13], [12]], 12])\ncheck('oracle 2', solve(*([[True, 0, [2]], [False, 5, [1]]], 7)), [[[2], [3]], 3])\ncheck('oracle 3', solve(*([[True, 4, []], [False, 0, [1]]], 0)), [[[], [5]], 5])\ncheck('oracle 4', solve(*([], 3)), [[], 3])\ncheck('oracle 5', solve(*([[False, 99, [1, 1]]], 2)), [[[3, 4]], 4])\ncheck('oracle 6', solve(*([[True, -3, [-1, 2]]], 5)), [[[-4, -2]], -2])\ncheck('oracle 7', solve(*([[False, 0, []]], 4)), [[[]], 4])\nif N == 1: check('variant packet 1', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12]], 12])\nif N == 2: check('variant packet 2', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\nif N == 3: check('variant packet 3', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\nif N == 4: check('variant packet 4', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\nif N == 5: check('variant packet 5', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\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":"986cb893853ea313919698390ff53c854c8e5368c61a120b8926a6454137872c","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(partitions, initial):\n    state=initial\n    out=[]\n    for reset,seed,residuals in partitions:\n        if reset:\n            state=seed\n        section=[]\n        for residual in residuals:\n            state-=residual\n            section.append(state)\n        out.append(section)\n    return [out,state]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('oracle 1', solve(*([[True, 10, [1, 2]], [False, 99, [-1]]], 0)), [[[11, 13], [12]], 12])\ncheck('oracle 2', solve(*([[True, 0, [2]], [False, 5, [1]]], 7)), [[[2], [3]], 3])\ncheck('oracle 3', solve(*([[True, 4, []], [False, 0, [1]]], 0)), [[[], [5]], 5])\ncheck('oracle 4', solve(*([], 3)), [[], 3])\ncheck('oracle 5', solve(*([[False, 99, [1, 1]]], 2)), [[[3, 4]], 4])\ncheck('oracle 6', solve(*([[True, -3, [-1, 2]]], 5)), [[[-4, -2]], -2])\ncheck('oracle 7', solve(*([[False, 0, []]], 4)), [[[]], 4])\nif N == 1: check('variant packet 1', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12]], 12])\nif N == 2: check('variant packet 2', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\nif N == 3: check('variant packet 3', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\nif N == 4: check('variant packet 4', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\nif N == 5: check('variant packet 5', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\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":"9db0e32dd0a9f4b2466e8b228582dfc277b2739ac65d890b0d6b6e869ad85988","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(partitions, initial):\n    state=initial\n    out=[]\n    for reset,seed,residuals in partitions:\n        if reset:\n            state=seed\n        section=[]\n        for residual in residuals:\n            state+=residual\n            section.append(state)\n        out.append(section)\n    return [out,state]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('oracle 1', solve(*([[True, 10, [1, 2]], [False, 99, [-1]]], 0)), [[[11, 13], [12]], 12])\ncheck('oracle 2', solve(*([[True, 0, [2]], [False, 5, [1]]], 7)), [[[2], [3]], 3])\ncheck('oracle 3', solve(*([[True, 4, []], [False, 0, [1]]], 0)), [[[], [5]], 5])\ncheck('oracle 4', solve(*([], 3)), [[], 3])\ncheck('oracle 5', solve(*([[False, 99, [1, 1]]], 2)), [[[3, 4]], 4])\ncheck('oracle 6', solve(*([[True, -3, [-1, 2]]], 5)), [[[-4, -2]], -2])\ncheck('oracle 7', solve(*([[False, 0, []]], 4)), [[[]], 4])\nif N == 1: check('variant packet 1', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12]], 12])\nif N == 2: check('variant packet 2', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\nif N == 3: check('variant packet 3', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\nif N == 4: check('variant packet 4', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\nif N == 5: check('variant packet 5', solve(*[[[True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]], [True, 10, [1, 2]], [False, 99, [-1]]], 0]), [[[11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12], [11, 13], [12]], 12])\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-residual-partition-seeds-residual-direction","generated_at":"2026-09-29T14:45:06.742066+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 direction.","root_cause":"Residual sign is reversed inside PCM partitions.","sha256":"6a16d1d6db95eca022879688cbc03dd081f63ac1ef647099fe8c0334969f2b0d","title":"Pcm residual partition seeds: residual direction · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":38.043,"exit_code":1,"observations":[{"actual":[[[1,2],[-1]],-1],"check":"oracle 1","expected":[[[11,13],[12]],12],"passed":false},{"actual":[[[2],[1]],1],"check":"oracle 2","expected":[[[2],[3]],3],"passed":false},{"actual":[[[],[1]],1],"check":"oracle 3","expected":[[[],[5]],5],"passed":false},{"actual":[[],3],"check":"oracle 4","expected":[[],3],"passed":true},{"actual":[[[1,1]],1],"check":"oracle 5","expected":[[[3,4]],4],"passed":false},{"actual":[[[-1,2]],2],"check":"oracle 6","expected":[[[-4,-2]],-2],"passed":false},{"actual":[[[]],4],"check":"oracle 7","expected":[[[]],4],"passed":true},{"actual":[[[1,2],[-1],[1,2],[-1]],-1],"check":"variant packet 1","expected":[[[11,13],[12],[11,13],[12]],12],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [[[1, 2], [-1]], -1], \"expected\": [[[11, 13], [12]], 12], \"passed\": false}, {\"check\": \"oracle 2\", \"actual\": [[[2], [1]], 1], \"expected\": [[[2], [3]], 3], \"passed\": false}, {\"check\": \"oracle 3\", \"actual\": [[[], [1]], 1], \"expected\": [[[], [5]], 5], \"passed\": false}, {\"check\": \"oracle 4\", \"actual\": [[], 3], \"expected\": [[], 3], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [[[1, 1]], 1], \"expected\": [[[3, 4]], 4], \"passed\": false}, {\"check\": \"oracle 6\", \"actual\": [[[-1, 2]], 2], \"expected\": [[[-4, -2]], -2], \"passed\": false}, {\"check\": \"oracle 7\", \"actual\": [[[]], 4], \"expected\": [[[]], 4], \"passed\": true}, {\"check\": \"variant packet 1\", \"actual\": [[[1, 2], [-1], [1, 2], [-1]], -1], \"expected\": [[[11, 13], [12], [11, 13], [12]], 12], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":38.89,"exit_code":1,"observations":[{"actual":[[[9,7],[8]],8],"check":"oracle 1","expected":[[[11,13],[12]],12],"passed":false},{"actual":[[[-2],[-3]],-3],"check":"oracle 2","expected":[[[2],[3]],3],"passed":false},{"actual":[[[],[3]],3],"check":"oracle 3","expected":[[[],[5]],5],"passed":false},{"actual":[[],3],"check":"oracle 4","expected":[[],3],"passed":true},{"actual":[[[1,0]],0],"check":"oracle 5","expected":[[[3,4]],4],"passed":false},{"actual":[[[-2,-4]],-4],"check":"oracle 6","expected":[[[-4,-2]],-2],"passed":false},{"actual":[[[]],4],"check":"oracle 7","expected":[[[]],4],"passed":true},{"actual":[[[9,7],[8],[9,7],[8]],8],"check":"variant packet 1","expected":[[[11,13],[12],[11,13],[12]],12],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [[[9, 7], [8]], 8], \"expected\": [[[11, 13], [12]], 12], \"passed\": false}, {\"check\": \"oracle 2\", \"actual\": [[[-2], [-3]], -3], \"expected\": [[[2], [3]], 3], \"passed\": false}, {\"check\": \"oracle 3\", \"actual\": [[[], [3]], 3], \"expected\": [[[], [5]], 5], \"passed\": false}, {\"check\": \"oracle 4\", \"actual\": [[], 3], \"expected\": [[], 3], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [[[1, 0]], 0], \"expected\": [[[3, 4]], 4], \"passed\": false}, {\"check\": \"oracle 6\", \"actual\": [[[-2, -4]], -4], \"expected\": [[[-4, -2]], -2], \"passed\": false}, {\"check\": \"oracle 7\", \"actual\": [[[]], 4], \"expected\": [[[]], 4], \"passed\": true}, {\"check\": \"variant packet 1\", \"actual\": [[[9, 7], [8], [9, 7], [8]], 8], \"expected\": [[[11, 13], [12], [11, 13], [12]], 12], \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":41.59,"exit_code":0,"observations":[{"actual":[[[11,13],[12]],12],"check":"oracle 1","expected":[[[11,13],[12]],12],"passed":true},{"actual":[[[2],[3]],3],"check":"oracle 2","expected":[[[2],[3]],3],"passed":true},{"actual":[[[],[5]],5],"check":"oracle 3","expected":[[[],[5]],5],"passed":true},{"actual":[[],3],"check":"oracle 4","expected":[[],3],"passed":true},{"actual":[[[3,4]],4],"check":"oracle 5","expected":[[[3,4]],4],"passed":true},{"actual":[[[-4,-2]],-2],"check":"oracle 6","expected":[[[-4,-2]],-2],"passed":true},{"actual":[[[]],4],"check":"oracle 7","expected":[[[]],4],"passed":true},{"actual":[[[11,13],[12],[11,13],[12]],12],"check":"variant packet 1","expected":[[[11,13],[12],[11,13],[12]],12],"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"oracle 1\", \"actual\": [[[11, 13], [12]], 12], \"expected\": [[[11, 13], [12]], 12], \"passed\": true}, {\"check\": \"oracle 2\", \"actual\": [[[2], [3]], 3], \"expected\": [[[2], [3]], 3], \"passed\": true}, {\"check\": \"oracle 3\", \"actual\": [[[], [5]], 5], \"expected\": [[[], [5]], 5], \"passed\": true}, {\"check\": \"oracle 4\", \"actual\": [[], 3], \"expected\": [[], 3], \"passed\": true}, {\"check\": \"oracle 5\", \"actual\": [[[3, 4]], 4], \"expected\": [[[3, 4]], 4], \"passed\": true}, {\"check\": \"oracle 6\", \"actual\": [[[-4, -2]], -2], \"expected\": [[[-4, -2]], -2], \"passed\": true}, {\"check\": \"oracle 7\", \"actual\": [[[]], 4], \"expected\": [[[]], 4], \"passed\": true}, {\"check\": \"variant packet 1\", \"actual\": [[[11, 13], [12], [11, 13], [12]], 12], \"expected\": [[[11, 13], [12], [11, 13], [12]], 12], \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}