FA-49531 / PCM sample encoding / Open access
Caf pcm packet table: packet order · case 01
PCM samples reverse inside each table packet.
ROOT CAUSE
PCM samples reverse inside each table packet.
VERIFIED REPAIR
Use the stated conversion contract at packet order.
Unsuccessful approach: Prepending packets reverses packet presentation order.
Case contract
Present a PCM packet table after globally removing declared priming and remainder sample counts; retain raw cumulative sample offsets for each packet.
Why this case matters
Offline PCM interchange uses these exact bounded packet and sample representation decisions.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(packets, priming, remainder):
all_samples=[]
packet_starts=[]
for samples in packets:
packet_starts.append(len(all_samples))
all_samples.extend(reversed(samples))
start=min(max(priming,0),len(all_samples))
end=max(start,len(all_samples)-max(remainder,0))
return [all_samples[start:end],packet_starts,start,end]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('oracle 1', solve(*([[1, 2], [3, 4, 5]], 1, 1)), [[2, 3, 4], [0, 2], 1, 4])
check('oracle 2', solve(*([[1], [2, 3], [4]], 3, 0)), [[4], [0, 1, 3], 3, 4])
check('oracle 3', solve(*([[1, 2, 3, 4]], 2, 0)), [[3, 4], [0], 2, 4])
check('oracle 4', solve(*([], 2, 1)), [[], [], 0, 0])
check('oracle 5', solve(*([[1, 2], [3]], -1, -1)), [[1, 2, 3], [0, 2], 0, 3])
check('oracle 6', solve(*([[1, 2, 3], [4, 5]], 1, 2)), [[2, 3], [0, 3], 1, 3])
check('oracle 7', solve(*([[], [7], []], 0, 0)), [[7], [0, 0, 1], 0, 1])
if N == 1: check('variant packet 1', solve(*[[[1, 2], [3, 4, 5], [1, 2], [3, 4, 5]], 1, 1]), [[2, 3, 4, 5, 1, 2, 3, 4], [0, 2, 5, 7], 1, 9])
if N == 2: check('variant packet 2', solve(*[[[1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5]], 1, 1]), [[2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4], [0, 2, 5, 7, 10, 12], 1, 14])
if N == 3: check('variant packet 3', solve(*[[[1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5]], 1, 1]), [[2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4], [0, 2, 5, 7, 10, 12, 15, 17], 1, 19])
if N == 4: check('variant packet 4', solve(*[[[1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5]], 1, 1]), [[2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4], [0, 2, 5, 7, 10, 12, 15, 17, 20, 22], 1, 24])
if N == 5: check('variant packet 5', solve(*[[[1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5]], 1, 1]), [[2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4], [0, 2, 5, 7, 10, 12, 15, 17, 20, 22, 25, 27], 1, 29])
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| oracle 1 | [[1, 5, 4], [0, 2], 1, 4] | [[2, 3, 4], [0, 2], 1, 4] | Failed |
| oracle 2 | [[4], [0, 1, 3], 3, 4] | [[4], [0, 1, 3], 3, 4] | Passed |
| oracle 3 | [[2, 1], [0], 2, 4] | [[3, 4], [0], 2, 4] | Failed |
| oracle 4 | [[], [], 0, 0] | [[], [], 0, 0] | Passed |
| oracle 5 | [[2, 1, 3], [0, 2], 0, 3] | [[1, 2, 3], [0, 2], 0, 3] | Failed |
| oracle 6 | [[2, 1], [0, 3], 1, 3] | [[2, 3], [0, 3], 1, 3] | Failed |
| oracle 7 | [[7], [0, 0, 1], 0, 1] | [[7], [0, 0, 1], 0, 1] | Passed |
| variant packet 1 | [[1, 5, 4, 3, 2, 1, 5, 4], [0, 2, 5, 7], 1, 9] | [[2, 3, 4, 5, 1, 2, 3, 4], [0, 2, 5, 7], 1, 9] | Failed |
SHA-256 / 282b5a96de69cbecc8444e1beceb80dcf8b6ee2287842e0a684c8fc02f06c424
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(packets, priming, remainder):
all_samples=[]
packet_starts=[]
for samples in packets:
packet_starts.append(len(all_samples))
all_samples=list(samples)+all_samples
start=min(max(priming,0),len(all_samples))
end=max(start,len(all_samples)-max(remainder,0))
return [all_samples[start:end],packet_starts,start,end]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('oracle 1', solve(*([[1, 2], [3, 4, 5]], 1, 1)), [[2, 3, 4], [0, 2], 1, 4])
check('oracle 2', solve(*([[1], [2, 3], [4]], 3, 0)), [[4], [0, 1, 3], 3, 4])
check('oracle 3', solve(*([[1, 2, 3, 4]], 2, 0)), [[3, 4], [0], 2, 4])
check('oracle 4', solve(*([], 2, 1)), [[], [], 0, 0])
check('oracle 5', solve(*([[1, 2], [3]], -1, -1)), [[1, 2, 3], [0, 2], 0, 3])
check('oracle 6', solve(*([[1, 2, 3], [4, 5]], 1, 2)), [[2, 3], [0, 3], 1, 3])
check('oracle 7', solve(*([[], [7], []], 0, 0)), [[7], [0, 0, 1], 0, 1])
if N == 1: check('variant packet 1', solve(*[[[1, 2], [3, 4, 5], [1, 2], [3, 4, 5]], 1, 1]), [[2, 3, 4, 5, 1, 2, 3, 4], [0, 2, 5, 7], 1, 9])
if N == 2: check('variant packet 2', solve(*[[[1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5]], 1, 1]), [[2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4], [0, 2, 5, 7, 10, 12], 1, 14])
if N == 3: check('variant packet 3', solve(*[[[1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5]], 1, 1]), [[2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4], [0, 2, 5, 7, 10, 12, 15, 17], 1, 19])
if N == 4: check('variant packet 4', solve(*[[[1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5]], 1, 1]), [[2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4], [0, 2, 5, 7, 10, 12, 15, 17, 20, 22], 1, 24])
if N == 5: check('variant packet 5', solve(*[[[1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5]], 1, 1]), [[2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4], [0, 2, 5, 7, 10, 12, 15, 17, 20, 22, 25, 27], 1, 29])
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| oracle 1 | [[4, 5, 1], [0, 2], 1, 4] | [[2, 3, 4], [0, 2], 1, 4] | Failed |
| oracle 2 | [[1], [0, 1, 3], 3, 4] | [[4], [0, 1, 3], 3, 4] | Failed |
| oracle 3 | [[3, 4], [0], 2, 4] | [[3, 4], [0], 2, 4] | Passed |
| oracle 4 | [[], [], 0, 0] | [[], [], 0, 0] | Passed |
| oracle 5 | [[3, 1, 2], [0, 2], 0, 3] | [[1, 2, 3], [0, 2], 0, 3] | Failed |
| oracle 6 | [[5, 1], [0, 3], 1, 3] | [[2, 3], [0, 3], 1, 3] | Failed |
| oracle 7 | [[7], [0, 0, 1], 0, 1] | [[7], [0, 0, 1], 0, 1] | Passed |
| variant packet 1 | [[4, 5, 1, 2, 3, 4, 5, 1], [0, 2, 5, 7], 1, 9] | [[2, 3, 4, 5, 1, 2, 3, 4], [0, 2, 5, 7], 1, 9] | Failed |
SHA-256 / 4f1ee74576eb898f9b222eb13bc15be5a698dffd5c82bf676e66bcfa4360eed7
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(packets, priming, remainder):
all_samples=[]
packet_starts=[]
for samples in packets:
packet_starts.append(len(all_samples))
all_samples.extend(samples)
start=min(max(priming,0),len(all_samples))
end=max(start,len(all_samples)-max(remainder,0))
return [all_samples[start:end],packet_starts,start,end]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('oracle 1', solve(*([[1, 2], [3, 4, 5]], 1, 1)), [[2, 3, 4], [0, 2], 1, 4])
check('oracle 2', solve(*([[1], [2, 3], [4]], 3, 0)), [[4], [0, 1, 3], 3, 4])
check('oracle 3', solve(*([[1, 2, 3, 4]], 2, 0)), [[3, 4], [0], 2, 4])
check('oracle 4', solve(*([], 2, 1)), [[], [], 0, 0])
check('oracle 5', solve(*([[1, 2], [3]], -1, -1)), [[1, 2, 3], [0, 2], 0, 3])
check('oracle 6', solve(*([[1, 2, 3], [4, 5]], 1, 2)), [[2, 3], [0, 3], 1, 3])
check('oracle 7', solve(*([[], [7], []], 0, 0)), [[7], [0, 0, 1], 0, 1])
if N == 1: check('variant packet 1', solve(*[[[1, 2], [3, 4, 5], [1, 2], [3, 4, 5]], 1, 1]), [[2, 3, 4, 5, 1, 2, 3, 4], [0, 2, 5, 7], 1, 9])
if N == 2: check('variant packet 2', solve(*[[[1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5]], 1, 1]), [[2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4], [0, 2, 5, 7, 10, 12], 1, 14])
if N == 3: check('variant packet 3', solve(*[[[1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5]], 1, 1]), [[2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4], [0, 2, 5, 7, 10, 12, 15, 17], 1, 19])
if N == 4: check('variant packet 4', solve(*[[[1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5]], 1, 1]), [[2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4], [0, 2, 5, 7, 10, 12, 15, 17, 20, 22], 1, 24])
if N == 5: check('variant packet 5', solve(*[[[1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5], [1, 2], [3, 4, 5]], 1, 1]), [[2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4], [0, 2, 5, 7, 10, 12, 15, 17, 20, 22, 25, 27], 1, 29])
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| oracle 1 | [[2, 3, 4], [0, 2], 1, 4] | [[2, 3, 4], [0, 2], 1, 4] | Passed |
| oracle 2 | [[4], [0, 1, 3], 3, 4] | [[4], [0, 1, 3], 3, 4] | Passed |
| oracle 3 | [[3, 4], [0], 2, 4] | [[3, 4], [0], 2, 4] | Passed |
| oracle 4 | [[], [], 0, 0] | [[], [], 0, 0] | Passed |
| oracle 5 | [[1, 2, 3], [0, 2], 0, 3] | [[1, 2, 3], [0, 2], 0, 3] | Passed |
| oracle 6 | [[2, 3], [0, 3], 1, 3] | [[2, 3], [0, 3], 1, 3] | Passed |
| oracle 7 | [[7], [0, 0, 1], 0, 1] | [[7], [0, 0, 1], 0, 1] | Passed |
| variant packet 1 | [[2, 3, 4, 5, 1, 2, 3, 4], [0, 2, 5, 7], 1, 9] | [[2, 3, 4, 5, 1, 2, 3, 4], [0, 2, 5, 7], 1, 9] | Passed |
SHA-256 / 154ccc99c8e9b8b75066d1c13da7552fbb25232a78e2eaf47fbede1239051d1e
Verification & scope
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.
Observations recorded using Python 3.12.14 at 2026-09-29T14:45:00.858968+00:00.
Case digest / 3a6f7f8151b634670735ecb49eb843c1848343065898cbe12a36a0ea25c65410