FA-78346 / Broadcast timecode arithmetic / Open access
Non-drop timecode label parsing: hour field bound · case 01
Labels at hour 24 are accepted and alias the following day.
ROOT CAUSE
The hour limit admits 24.
VERIFIED REPAIR
Reject hours above 23.
Unsuccessful approach: Allowing any two-digit hour still accepts the invalid 24 to 98 range.
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(len(x)==2 and x.isdigit() for x in f):
return None
h,m,s,fr=map(int,f)
if h>24:
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: hour field bound', ['24:00:00:00', 25], None), ('regression variant: hour field bound', ['24:00:59:25', 30], None), ('partial repair probe: hour field bound', ['24:59:59:24', 30], None), ('partial repair variant: hour field bound', ['24:59:59:23', 24], None), ('boundary control', ['00:00:00:00', 25], 0), ('boundary control', ['01:00:00;00', 30], None), ('normal control', ['23:59:59:24', 25], 2159999), ('normal control', ['1:59:59:24', 30], None), ('normal control', ['00:07:00.24', 25], None)], [('regression: hour field bound', ['24:59:59:23', 24], None), ('regression variant: hour field bound', ['24:59:00:00', 24], None), ('partial repair probe: hour field bound', ['24:00:00:00', 30], None), ('partial repair variant: hour field bound', ['24:59:59:24', 30], None), ('boundary control', ['23:59:59:24', 25], 2159999), ('boundary control', ['00:00:00:00', 25], 0), ('normal control', ['01:00:00.00', 24], None), ('normal control', ['00:59:00.25', 25], None), ('normal control', ['24:07:60:30', 30], None)], [('regression: hour field bound', ['24:59:59:24', 30], None), ('regression variant: hour field bound', ['24:07:59:29', 30], None), ('partial repair probe: hour field bound', ['24:07:59:25', 30], None), ('partial repair variant: hour field bound', ['24:00:00:00', 30], None), ('boundary control', ['00:00:00:25', 25], None), ('boundary control', ['23:59:59:24', 25], 2159999), ('normal control', ['00:07:60:30', 30], None), ('normal control', ['00:59:5:00', 25], None), ('normal control', ['01:59:59;25', 30], None)], [('regression: hour field bound', ['24:00:00:00', 30], None), ('regression variant: hour field bound', ['24:00:00:00', 25], None), ('partial repair probe: hour field bound', ['24:00:59:25', 30], None), ('partial repair variant: hour field bound', ['24:07:59:25', 30], None), ('boundary control', ['01:00:00;00', 30], None), ('boundary control', ['00:00:00:25', 25], None), ('normal control', ['00:00:59.29', 24], None), ('normal control', ['01:00:60:29', 24], None), ('normal control', ['00:07:60:25', 24], None)], [('regression: hour field bound', ['24:07:59:25', 30], None), ('regression variant: hour field bound', ['24:59:59:23', 24], None), ('partial repair probe: hour field bound', ['24:59:00:00', 24], None), ('partial repair variant: hour field bound', ['24:00:59:25', 30], None), ('boundary control', ['00:00:00:00', 25], 0), ('boundary control', ['01:00:00;00', 30], None), ('normal control', ['24:59:59:24', 24], None), ('normal control', ['99:60:59:25', 25], None), ('normal control', ['01:59:5.30', 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: hour field bound | 2160000 | None | Failed |
| regression variant: hour field bound | 2593795 | None | Failed |
| partial repair probe: hour field bound | 2699994 | None | Failed |
| partial repair variant: hour field bound | 2159999 | 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 / 6bf663f65a0ac89e184d748fb6003f74ccc924bb419a31b3b9acb57ef4fe5b7f
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>=99:
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: hour field bound', ['24:00:00:00', 25], None), ('regression variant: hour field bound', ['24:00:59:25', 30], None), ('partial repair probe: hour field bound', ['24:59:59:24', 30], None), ('partial repair variant: hour field bound', ['24:59:59:23', 24], None), ('boundary control', ['00:00:00:00', 25], 0), ('boundary control', ['01:00:00;00', 30], None), ('normal control', ['23:59:59:24', 25], 2159999), ('normal control', ['1:59:59:24', 30], None), ('normal control', ['00:07:00.24', 25], None)], [('regression: hour field bound', ['24:59:59:23', 24], None), ('regression variant: hour field bound', ['24:59:00:00', 24], None), ('partial repair probe: hour field bound', ['24:00:00:00', 30], None), ('partial repair variant: hour field bound', ['24:59:59:24', 30], None), ('boundary control', ['23:59:59:24', 25], 2159999), ('boundary control', ['00:00:00:00', 25], 0), ('normal control', ['01:00:00.00', 24], None), ('normal control', ['00:59:00.25', 25], None), ('normal control', ['24:07:60:30', 30], None)], [('regression: hour field bound', ['24:59:59:24', 30], None), ('regression variant: hour field bound', ['24:07:59:29', 30], None), ('partial repair probe: hour field bound', ['24:07:59:25', 30], None), ('partial repair variant: hour field bound', ['24:00:00:00', 30], None), ('boundary control', ['00:00:00:25', 25], None), ('boundary control', ['23:59:59:24', 25], 2159999), ('normal control', ['00:07:60:30', 30], None), ('normal control', ['00:59:5:00', 25], None), ('normal control', ['01:59:59;25', 30], None)], [('regression: hour field bound', ['24:00:00:00', 30], None), ('regression variant: hour field bound', ['24:00:00:00', 25], None), ('partial repair probe: hour field bound', ['24:00:59:25', 30], None), ('partial repair variant: hour field bound', ['24:07:59:25', 30], None), ('boundary control', ['01:00:00;00', 30], None), ('boundary control', ['00:00:00:25', 25], None), ('normal control', ['00:00:59.29', 24], None), ('normal control', ['01:00:60:29', 24], None), ('normal control', ['00:07:60:25', 24], None)], [('regression: hour field bound', ['24:07:59:25', 30], None), ('regression variant: hour field bound', ['24:59:59:23', 24], None), ('partial repair probe: hour field bound', ['24:59:00:00', 24], None), ('partial repair variant: hour field bound', ['24:00:59:25', 30], None), ('boundary control', ['00:00:00:00', 25], 0), ('boundary control', ['01:00:00;00', 30], None), ('normal control', ['24:59:59:24', 24], None), ('normal control', ['99:60:59:25', 25], None), ('normal control', ['01:59:5.30', 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: hour field bound | 2160000 | None | Failed |
| regression variant: hour field bound | 2593795 | None | Failed |
| partial repair probe: hour field bound | 2699994 | None | Failed |
| partial repair variant: hour field bound | 2159999 | 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 / c3e3ef93bd381e98deefa67fdba40a61357de59dd524c5f8fb2d40c50ec28ed7
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: hour field bound', ['24:00:00:00', 25], None), ('regression variant: hour field bound', ['24:00:59:25', 30], None), ('partial repair probe: hour field bound', ['24:59:59:24', 30], None), ('partial repair variant: hour field bound', ['24:59:59:23', 24], None), ('boundary control', ['00:00:00:00', 25], 0), ('boundary control', ['01:00:00;00', 30], None), ('normal control', ['23:59:59:24', 25], 2159999), ('normal control', ['1:59:59:24', 30], None), ('normal control', ['00:07:00.24', 25], None)], [('regression: hour field bound', ['24:59:59:23', 24], None), ('regression variant: hour field bound', ['24:59:00:00', 24], None), ('partial repair probe: hour field bound', ['24:00:00:00', 30], None), ('partial repair variant: hour field bound', ['24:59:59:24', 30], None), ('boundary control', ['23:59:59:24', 25], 2159999), ('boundary control', ['00:00:00:00', 25], 0), ('normal control', ['01:00:00.00', 24], None), ('normal control', ['00:59:00.25', 25], None), ('normal control', ['24:07:60:30', 30], None)], [('regression: hour field bound', ['24:59:59:24', 30], None), ('regression variant: hour field bound', ['24:07:59:29', 30], None), ('partial repair probe: hour field bound', ['24:07:59:25', 30], None), ('partial repair variant: hour field bound', ['24:00:00:00', 30], None), ('boundary control', ['00:00:00:25', 25], None), ('boundary control', ['23:59:59:24', 25], 2159999), ('normal control', ['00:07:60:30', 30], None), ('normal control', ['00:59:5:00', 25], None), ('normal control', ['01:59:59;25', 30], None)], [('regression: hour field bound', ['24:00:00:00', 30], None), ('regression variant: hour field bound', ['24:00:00:00', 25], None), ('partial repair probe: hour field bound', ['24:00:59:25', 30], None), ('partial repair variant: hour field bound', ['24:07:59:25', 30], None), ('boundary control', ['01:00:00;00', 30], None), ('boundary control', ['00:00:00:25', 25], None), ('normal control', ['00:00:59.29', 24], None), ('normal control', ['01:00:60:29', 24], None), ('normal control', ['00:07:60:25', 24], None)], [('regression: hour field bound', ['24:07:59:25', 30], None), ('regression variant: hour field bound', ['24:59:59:23', 24], None), ('partial repair probe: hour field bound', ['24:59:00:00', 24], None), ('partial repair variant: hour field bound', ['24:00:59:25', 30], None), ('boundary control', ['00:00:00:00', 25], 0), ('boundary control', ['01:00:00;00', 30], None), ('normal control', ['24:59:59:24', 24], None), ('normal control', ['99:60:59:25', 25], None), ('normal control', ['01:59:5.30', 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: hour field bound | None | None | Passed |
| regression variant: hour field bound | None | None | Passed |
| partial repair probe: hour field bound | None | None | Passed |
| partial repair variant: hour field bound | 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 / 79c7b5149d60faebfaa1852e95a5320c8f35aada2cb2b18343eaa1453b936fce
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 2026-09-29T14:49:34.633093+00:00.
Case digest / 5728dc47d7c9dfb67a6a1a05f3802f6bc6a25f8e8a603272af40ff19b0174ae4