FA-49526 / PCM sample encoding / Open access
Caf pcm packet table: packet start units · case 01
Packet offsets are reported as packet indices instead of sample positions.
ROOT CAUSE
Packet offsets are reported as packet indices instead of sample positions.
VERIFIED REPAIR
Use the stated conversion contract at packet start units.
Unsuccessful approach: Using packet length is not a cumulative sample offset.
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(packet_starts))
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, 1], 1, 4] | [[2, 3, 4], [0, 2], 1, 4] | Failed |
| oracle 2 | [[4], [0, 1, 2], 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 | [[1, 2, 3], [0, 1], 0, 3] | [[1, 2, 3], [0, 2], 0, 3] | Failed |
| oracle 6 | [[2, 3], [0, 1], 1, 3] | [[2, 3], [0, 3], 1, 3] | Failed |
| oracle 7 | [[7], [0, 1, 2], 0, 1] | [[7], [0, 0, 1], 0, 1] | Failed |
| variant packet 1 | [[2, 3, 4, 5, 1, 2, 3, 4], [0, 1, 2, 3], 1, 9] | [[2, 3, 4, 5, 1, 2, 3, 4], [0, 2, 5, 7], 1, 9] | Failed |
SHA-256 / 2d128e53bc080db175502f036b5bf6ddc7f23faaf20bbad1339113e54db160d2
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(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], [2, 3], 1, 4] | [[2, 3, 4], [0, 2], 1, 4] | Failed |
| oracle 2 | [[4], [1, 2, 1], 3, 4] | [[4], [0, 1, 3], 3, 4] | Failed |
| oracle 3 | [[3, 4], [4], 2, 4] | [[3, 4], [0], 2, 4] | Failed |
| oracle 4 | [[], [], 0, 0] | [[], [], 0, 0] | Passed |
| oracle 5 | [[1, 2, 3], [2, 1], 0, 3] | [[1, 2, 3], [0, 2], 0, 3] | Failed |
| oracle 6 | [[2, 3], [3, 2], 1, 3] | [[2, 3], [0, 3], 1, 3] | Failed |
| oracle 7 | [[7], [0, 1, 0], 0, 1] | [[7], [0, 0, 1], 0, 1] | Failed |
| variant packet 1 | [[2, 3, 4, 5, 1, 2, 3, 4], [2, 3, 2, 3], 1, 9] | [[2, 3, 4, 5, 1, 2, 3, 4], [0, 2, 5, 7], 1, 9] | Failed |
SHA-256 / ad698e8f25275a3b07cdda4b8448efa18d8123fdf981756e4da38476b2fe1098
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 2026-09-29T14:45:00.828355+00:00.
Case digest / 40b428aac6db8a2fde1d87804fe5845dd26a67e41fd8488847f4fe0d764e9580