FA-78356 / Broadcast timecode arithmetic / Open access
Non-drop timecode label parsing: field width · case 01
Loosely typed labels such as 1:00:00:00 are accepted into the edit list.
ROOT CAUSE
Field widths are not validated.
VERIFIED REPAIR
Require exactly two digits per field.
Unsuccessful approach: Allowing up to two digits still accepts single-digit fields.
Case contract
Parse a non-drop label HH:MM:SS:FF (exactly two digits per field, colons only) at integer fps to a frame count from midnight. Hours 0-23, minutes and seconds 0-59, frames below fps; anything else, including drop-frame separators, returns None.
Why this case matters
Timecode arithmetic errors misplace edits, commercial breaks and captions against the broadcast clock.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(tc, fps):
f=tc.split(':')
if len(f)!=4 or not all(x.isdigit() for x in f):
return None
h,m,s,fr=map(int,f)
if h>23:
return None
if m>59 or s>59:
return None
if fr>=fps:
return None
return ((h*60+m)*60+s)*fps+fr
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression: field width', ['1:59:59:24', 30], None), ('regression variant: field width', ['1:00:00:00', 30], None), ('partial repair probe: field width', ['00:59:5:00', 25], None), ('partial repair variant: field width', ['00:59:5:24', 30], None), ('boundary control', ['00:00:00:00', 25], 0), ('boundary control', ['00:00:00:25', 25], None), ('normal control', ['23:59:59:24', 25], 2159999), ('normal control', ['01:00:00;00', 30], None), ('normal control', ['00:07:00.24', 25], None)], [('regression: field width', ['1:59:59:00', 24], None), ('regression variant: field width', ['1:00:00:24', 25], None), ('partial repair probe: field width', ['00:00:5:00', 25], None), ('partial repair variant: field width', ['1:07:00:24', 30], None), ('boundary control', ['23:59:59:24', 25], 2159999), ('boundary control', ['01:00:00;00', 30], None), ('normal control', ['01:00:00.00', 24], None), ('normal control', ['00:59:00.25', 25], None), ('normal control', ['00:60:5:30', 24], None)], [('regression: field width', ['00:59:5:00', 25], None), ('regression variant: field width', ['01:07:5:24', 25], None), ('partial repair probe: field width', ['1:59:5:23', 24], None), ('partial repair variant: field width', ['1:07:00:29', 30], None), ('boundary control', ['24:00:00:00', 25], None), ('boundary control', ['00:00:00:00', 25], 0), ('normal control', ['99:59:59:29', 30], None), ('normal control', ['00:59:59:24', 25], 89999), ('normal control', ['01:07:00:25', 24], None)], [('regression: field width', ['00:00:5:00', 25], None), ('regression variant: field width', ['1:59:00:00', 30], None), ('partial repair probe: field width', ['1:00:00:00', 30], None), ('partial repair variant: field width', ['1:00:5:24', 30], None), ('boundary control', ['00:00:00:25', 25], None), ('boundary control', ['23:59:59:24', 25], 2159999), ('normal control', ['01:00:60:29', 24], None), ('normal control', ['23:59:5:29', 25], None), ('normal control', ['1:59:00;25', 25], None)], [('regression: field width', ['1:59:5:23', 24], None), ('regression variant: field width', ['00:59:5:24', 30], None), ('partial repair probe: field width', ['1:00:00:24', 25], None), ('partial repair variant: field width', ['01:59:5:29', 30], None), ('boundary control', ['01:00:00;00', 30], None), ('boundary control', ['24:00:00:00', 25], None), ('normal control', ['99:60:59:25', 25], None), ('normal control', ['24:00:60:25', 30], None), ('normal control', ['24:60:5.00', 30], None)]]
for label, args, expected in fixtures[N-1]:
check(label, solve(*args), expected)
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 |
|---|---|---|---|
| regression: field width | 215994 | None | Failed |
| regression variant: field width | 108000 | None | Failed |
| partial repair probe: field width | 88625 | None | Failed |
| partial repair variant: field width | 106374 | None | Failed |
| boundary control | 0 | 0 | Passed |
| boundary control | None | None | Passed |
| normal control | 2159999 | 2159999 | Passed |
| normal control | None | None | Passed |
| normal control | None | None | Passed |
SHA-256 / 46d73fefc8c511d4920c2c96ef5b421d7e86d4d754c8800c515f842e173d8162
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(tc, fps):
f=tc.split(':')
if len(f)!=4 or not all(len(x)<=2 and x.isdigit() for x in f):
return None
h,m,s,fr=map(int,f)
if h>23:
return None
if m>59 or s>59:
return None
if fr>=fps:
return None
return ((h*60+m)*60+s)*fps+fr
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression: field width', ['1:59:59:24', 30], None), ('regression variant: field width', ['1:00:00:00', 30], None), ('partial repair probe: field width', ['00:59:5:00', 25], None), ('partial repair variant: field width', ['00:59:5:24', 30], None), ('boundary control', ['00:00:00:00', 25], 0), ('boundary control', ['00:00:00:25', 25], None), ('normal control', ['23:59:59:24', 25], 2159999), ('normal control', ['01:00:00;00', 30], None), ('normal control', ['00:07:00.24', 25], None)], [('regression: field width', ['1:59:59:00', 24], None), ('regression variant: field width', ['1:00:00:24', 25], None), ('partial repair probe: field width', ['00:00:5:00', 25], None), ('partial repair variant: field width', ['1:07:00:24', 30], None), ('boundary control', ['23:59:59:24', 25], 2159999), ('boundary control', ['01:00:00;00', 30], None), ('normal control', ['01:00:00.00', 24], None), ('normal control', ['00:59:00.25', 25], None), ('normal control', ['00:60:5:30', 24], None)], [('regression: field width', ['00:59:5:00', 25], None), ('regression variant: field width', ['01:07:5:24', 25], None), ('partial repair probe: field width', ['1:59:5:23', 24], None), ('partial repair variant: field width', ['1:07:00:29', 30], None), ('boundary control', ['24:00:00:00', 25], None), ('boundary control', ['00:00:00:00', 25], 0), ('normal control', ['99:59:59:29', 30], None), ('normal control', ['00:59:59:24', 25], 89999), ('normal control', ['01:07:00:25', 24], None)], [('regression: field width', ['00:00:5:00', 25], None), ('regression variant: field width', ['1:59:00:00', 30], None), ('partial repair probe: field width', ['1:00:00:00', 30], None), ('partial repair variant: field width', ['1:00:5:24', 30], None), ('boundary control', ['00:00:00:25', 25], None), ('boundary control', ['23:59:59:24', 25], 2159999), ('normal control', ['01:00:60:29', 24], None), ('normal control', ['23:59:5:29', 25], None), ('normal control', ['1:59:00;25', 25], None)], [('regression: field width', ['1:59:5:23', 24], None), ('regression variant: field width', ['00:59:5:24', 30], None), ('partial repair probe: field width', ['1:00:00:24', 25], None), ('partial repair variant: field width', ['01:59:5:29', 30], None), ('boundary control', ['01:00:00;00', 30], None), ('boundary control', ['24:00:00:00', 25], None), ('normal control', ['99:60:59:25', 25], None), ('normal control', ['24:00:60:25', 30], None), ('normal control', ['24:60:5.00', 30], None)]]
for label, args, expected in fixtures[N-1]:
check(label, solve(*args), expected)
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 |
|---|---|---|---|
| regression: field width | 215994 | None | Failed |
| regression variant: field width | 108000 | None | Failed |
| partial repair probe: field width | 88625 | None | Failed |
| partial repair variant: field width | 106374 | None | Failed |
| boundary control | 0 | 0 | Passed |
| boundary control | None | None | Passed |
| normal control | 2159999 | 2159999 | Passed |
| normal control | None | None | Passed |
| normal control | None | None | Passed |
SHA-256 / ccb7ed44a628a07f18b089c22237f4ed1b36c8964a9c49f10be795283b5a7799
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(tc, fps):
f=tc.split(':')
if len(f)!=4 or not all(len(x)==2 and x.isdigit() for x in f):
return None
h,m,s,fr=map(int,f)
if h>23:
return None
if m>59 or s>59:
return None
if fr>=fps:
return None
return ((h*60+m)*60+s)*fps+fr
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression: field width', ['1:59:59:24', 30], None), ('regression variant: field width', ['1:00:00:00', 30], None), ('partial repair probe: field width', ['00:59:5:00', 25], None), ('partial repair variant: field width', ['00:59:5:24', 30], None), ('boundary control', ['00:00:00:00', 25], 0), ('boundary control', ['00:00:00:25', 25], None), ('normal control', ['23:59:59:24', 25], 2159999), ('normal control', ['01:00:00;00', 30], None), ('normal control', ['00:07:00.24', 25], None)], [('regression: field width', ['1:59:59:00', 24], None), ('regression variant: field width', ['1:00:00:24', 25], None), ('partial repair probe: field width', ['00:00:5:00', 25], None), ('partial repair variant: field width', ['1:07:00:24', 30], None), ('boundary control', ['23:59:59:24', 25], 2159999), ('boundary control', ['01:00:00;00', 30], None), ('normal control', ['01:00:00.00', 24], None), ('normal control', ['00:59:00.25', 25], None), ('normal control', ['00:60:5:30', 24], None)], [('regression: field width', ['00:59:5:00', 25], None), ('regression variant: field width', ['01:07:5:24', 25], None), ('partial repair probe: field width', ['1:59:5:23', 24], None), ('partial repair variant: field width', ['1:07:00:29', 30], None), ('boundary control', ['24:00:00:00', 25], None), ('boundary control', ['00:00:00:00', 25], 0), ('normal control', ['99:59:59:29', 30], None), ('normal control', ['00:59:59:24', 25], 89999), ('normal control', ['01:07:00:25', 24], None)], [('regression: field width', ['00:00:5:00', 25], None), ('regression variant: field width', ['1:59:00:00', 30], None), ('partial repair probe: field width', ['1:00:00:00', 30], None), ('partial repair variant: field width', ['1:00:5:24', 30], None), ('boundary control', ['00:00:00:25', 25], None), ('boundary control', ['23:59:59:24', 25], 2159999), ('normal control', ['01:00:60:29', 24], None), ('normal control', ['23:59:5:29', 25], None), ('normal control', ['1:59:00;25', 25], None)], [('regression: field width', ['1:59:5:23', 24], None), ('regression variant: field width', ['00:59:5:24', 30], None), ('partial repair probe: field width', ['1:00:00:24', 25], None), ('partial repair variant: field width', ['01:59:5:29', 30], None), ('boundary control', ['01:00:00;00', 30], None), ('boundary control', ['24:00:00:00', 25], None), ('normal control', ['99:60:59:25', 25], None), ('normal control', ['24:00:60:25', 30], None), ('normal control', ['24:60:5.00', 30], None)]]
for label, args, expected in fixtures[N-1]:
check(label, solve(*args), expected)
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 |
|---|---|---|---|
| regression: field width | None | None | Passed |
| regression variant: field width | None | None | Passed |
| partial repair probe: field width | None | None | Passed |
| partial repair variant: field width | None | None | Passed |
| boundary control | 0 | 0 | Passed |
| boundary control | None | None | Passed |
| normal control | 2159999 | 2159999 | Passed |
| normal control | None | None | Passed |
| normal control | None | None | Passed |
SHA-256 / 99e01d59427f54e54717718733a5816a1a01b23bb4940ce6fc0e28d52d2c31b0
Verification & scope
A deterministic bounded teaching model with a stipulated toy contract; it does not claim conformance to SMPTE or any broadcast standard. 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 2026-09-29T14:49:34.639123+00:00.
Case digest / 1ab3cbd7a27a8e5adf4679afedbc6edabcf426fcfb7df1e83283146ba8aefe3a