FA-78781 / Broadcast timecode arithmetic / Open access
Operator timecode entry normalization: field fill side · case 01
Typing 1:2 gives one hour and two minutes instead of one second and two frames.
ROOT CAUSE
Separated fields are filled from the left.
VERIFIED REPAIR
Fill separated fields from the right, frames last.
Unsuccessful approach: Keeping only the last field as frames still places the others from the left.
Case contract
Normalize typed timecode. Separators ":", ";" and "." are equivalent. With separators, up to four numeric fields fill from the right (frames last). Without separators, up to eight digits are right-aligned into HH MM SS FF pairs. Field overflow carries through the total frame count, which wraps at 24 hours. Invalid entry 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(s, fps):
s=s.replace(';',':').replace('.',':')
if ':' in s:
parts=s.split(':')
if len(parts)>4 or not all(p.isdigit() for p in parts):
return None
vals=[int(p) for p in parts]+[0]*(4-len(parts))
else:
if not s.isdigit() or len(s)>8:
return None
d=s.zfill(8)
vals=[int(d[i:i+2]) for i in range(0,8,2)]
h,m,sec,f=vals
n=((h*60+m)*60+sec)*fps+f
n%=86400*fps
return '%02d:%02d:%02d:%02d'%(n//(3600*fps),n//(60*fps)%60,n//fps%60,n%fps)
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression: field fill side', ['1:2', 25], '00:00:01:02'), ('regression variant: field fill side', ['99.24.0', 24], '01:39:24:00'), ('partial repair probe: field fill side', ['59.99', 24], '00:01:03:03'), ('partial repair variant: field fill side', ['1:30:10', 30], '00:01:30:10'), ('boundary control', ['100', 25], '00:00:01:00'), ('boundary control', ['23595924', 25], '23:59:59:24'), ('normal control', ['99', 25], '00:00:03:24'), ('normal control', ['99', 24], '00:00:04:03'), ('normal control', ['100', 30], '00:00:01:00')], [('regression: field fill side', ['59.10', 24], '00:00:59:10'), ('regression variant: field fill side', ['23:30:30', 24], '00:23:31:06'), ('partial repair probe: field fill side', ['0:23:23', 24], '00:00:23:23'), ('partial repair variant: field fill side', ['59:59:2', 30], '00:59:59:02'), ('boundary control', ['99', 25], '00:00:03:24'), ('boundary control', ['100', 25], '00:00:01:00'), ('normal control', ['5959', 24], '00:01:01:11'), ('normal control', ['', 25], None), ('normal control', ['10000', 25], '00:01:00:00')], [('regression: field fill side', ['59.99', 24], '00:01:03:03'), ('regression variant: field fill side', ['59.23.99', 30], '00:59:26:09'), ('partial repair probe: field fill side', ['59:23', 24], '00:00:59:23'), ('partial repair variant: field fill side', ['23;1;1', 25], '00:23:01:01'), ('boundary control', ['1.2.3.4', 25], '01:02:03:04'), ('boundary control', ['99', 25], '00:00:03:24'), ('normal control', ['30', 24], '00:00:01:06'), ('normal control', ['1000', 24], '00:00:10:00'), ('normal control', ['2:23:61:99', 25], '02:24:04:24')], [('regression: field fill side', ['0:23:23', 24], '00:00:23:23'), ('regression variant: field fill side', ['59.2', 24], '00:00:59:02'), ('partial repair probe: field fill side', ['99.24.0', 24], '01:39:24:00'), ('partial repair variant: field fill side', ['10:30', 30], '00:00:11:00'), ('boundary control', ['23595924', 25], '23:59:59:24'), ('boundary control', ['1.2.3.4', 25], '01:02:03:04'), ('normal control', ['123456', 25], '00:12:36:06'), ('normal control', ['123456789', 25], None), ('normal control', ['x1', 24], None)], [('regression: field fill side', ['59:23', 24], '00:00:59:23'), ('regression variant: field fill side', ['1:30:10', 30], '00:01:30:10'), ('partial repair probe: field fill side', ['23:30:30', 24], '00:23:31:06'), ('partial repair variant: field fill side', ['23:59', 25], '00:00:25:09'), ('boundary control', ['100', 25], '00:00:01:00'), ('boundary control', ['23595924', 25], '23:59:59:24'), ('normal control', ['0:61:99:1:0', 30], None), ('normal control', ['59:23:23:10:10', 30], None), ('normal control', ['59.99.23.24', 24], '12:39:24:00')]]
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 fill side | 01:02:00:00 | 00:00:01:02 | Failed |
| regression variant: field fill side | 03:24:00:00 | 01:39:24:00 | Failed |
| partial repair probe: field fill side | 12:39:00:00 | 00:01:03:03 | Failed |
| partial repair variant: field fill side | 01:30:10:00 | 00:01:30:10 | Failed |
| boundary control | 00:00:01:00 | 00:00:01:00 | Passed |
| boundary control | 23:59:59:24 | 23:59:59:24 | Passed |
| normal control | 00:00:03:24 | 00:00:03:24 | Passed |
| normal control | 00:00:04:03 | 00:00:04:03 | Passed |
| normal control | 00:00:01:00 | 00:00:01:00 | Passed |
SHA-256 / ebfd4d3ea645f5e38ffe64591d31f305891918cf71f96f20294c758faeb85a3e
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(s, fps):
s=s.replace(';',':').replace('.',':')
if ':' in s:
parts=s.split(':')
if len(parts)>4 or not all(p.isdigit() for p in parts):
return None
vals=[int(p) for p in parts[:-1]]+[0]*(4-len(parts))+[int(parts[-1])]
else:
if not s.isdigit() or len(s)>8:
return None
d=s.zfill(8)
vals=[int(d[i:i+2]) for i in range(0,8,2)]
h,m,sec,f=vals
n=((h*60+m)*60+sec)*fps+f
n%=86400*fps
return '%02d:%02d:%02d:%02d'%(n//(3600*fps),n//(60*fps)%60,n//fps%60,n%fps)
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression: field fill side', ['1:2', 25], '00:00:01:02'), ('regression variant: field fill side', ['99.24.0', 24], '01:39:24:00'), ('partial repair probe: field fill side', ['59.99', 24], '00:01:03:03'), ('partial repair variant: field fill side', ['1:30:10', 30], '00:01:30:10'), ('boundary control', ['100', 25], '00:00:01:00'), ('boundary control', ['23595924', 25], '23:59:59:24'), ('normal control', ['99', 25], '00:00:03:24'), ('normal control', ['99', 24], '00:00:04:03'), ('normal control', ['100', 30], '00:00:01:00')], [('regression: field fill side', ['59.10', 24], '00:00:59:10'), ('regression variant: field fill side', ['23:30:30', 24], '00:23:31:06'), ('partial repair probe: field fill side', ['0:23:23', 24], '00:00:23:23'), ('partial repair variant: field fill side', ['59:59:2', 30], '00:59:59:02'), ('boundary control', ['99', 25], '00:00:03:24'), ('boundary control', ['100', 25], '00:00:01:00'), ('normal control', ['5959', 24], '00:01:01:11'), ('normal control', ['', 25], None), ('normal control', ['10000', 25], '00:01:00:00')], [('regression: field fill side', ['59.99', 24], '00:01:03:03'), ('regression variant: field fill side', ['59.23.99', 30], '00:59:26:09'), ('partial repair probe: field fill side', ['59:23', 24], '00:00:59:23'), ('partial repair variant: field fill side', ['23;1;1', 25], '00:23:01:01'), ('boundary control', ['1.2.3.4', 25], '01:02:03:04'), ('boundary control', ['99', 25], '00:00:03:24'), ('normal control', ['30', 24], '00:00:01:06'), ('normal control', ['1000', 24], '00:00:10:00'), ('normal control', ['2:23:61:99', 25], '02:24:04:24')], [('regression: field fill side', ['0:23:23', 24], '00:00:23:23'), ('regression variant: field fill side', ['59.2', 24], '00:00:59:02'), ('partial repair probe: field fill side', ['99.24.0', 24], '01:39:24:00'), ('partial repair variant: field fill side', ['10:30', 30], '00:00:11:00'), ('boundary control', ['23595924', 25], '23:59:59:24'), ('boundary control', ['1.2.3.4', 25], '01:02:03:04'), ('normal control', ['123456', 25], '00:12:36:06'), ('normal control', ['123456789', 25], None), ('normal control', ['x1', 24], None)], [('regression: field fill side', ['59:23', 24], '00:00:59:23'), ('regression variant: field fill side', ['1:30:10', 30], '00:01:30:10'), ('partial repair probe: field fill side', ['23:30:30', 24], '00:23:31:06'), ('partial repair variant: field fill side', ['23:59', 25], '00:00:25:09'), ('boundary control', ['100', 25], '00:00:01:00'), ('boundary control', ['23595924', 25], '23:59:59:24'), ('normal control', ['0:61:99:1:0', 30], None), ('normal control', ['59:23:23:10:10', 30], None), ('normal control', ['59.99.23.24', 24], '12:39:24:00')]]
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 fill side | 01:00:00:02 | 00:00:01:02 | Failed |
| regression variant: field fill side | 03:24:00:00 | 01:39:24:00 | Failed |
| partial repair probe: field fill side | 11:00:04:03 | 00:01:03:03 | Failed |
| partial repair variant: field fill side | 01:30:00:10 | 00:01:30:10 | Failed |
| boundary control | 00:00:01:00 | 00:00:01:00 | Passed |
| boundary control | 23:59:59:24 | 23:59:59:24 | Passed |
| normal control | 00:00:03:24 | 00:00:03:24 | Passed |
| normal control | 00:00:04:03 | 00:00:04:03 | Passed |
| normal control | 00:00:01:00 | 00:00:01:00 | Passed |
SHA-256 / 8b6eb9b82673385efcff9f49d71dc03a84099371ddf147774288900c869a5a71
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(s, fps):
s=s.replace(';',':').replace('.',':')
if ':' in s:
parts=s.split(':')
if len(parts)>4 or not all(p.isdigit() for p in parts):
return None
vals=[0]*(4-len(parts))+[int(p) for p in parts]
else:
if not s.isdigit() or len(s)>8:
return None
d=s.zfill(8)
vals=[int(d[i:i+2]) for i in range(0,8,2)]
h,m,sec,f=vals
n=((h*60+m)*60+sec)*fps+f
n%=86400*fps
return '%02d:%02d:%02d:%02d'%(n//(3600*fps),n//(60*fps)%60,n//fps%60,n%fps)
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression: field fill side', ['1:2', 25], '00:00:01:02'), ('regression variant: field fill side', ['99.24.0', 24], '01:39:24:00'), ('partial repair probe: field fill side', ['59.99', 24], '00:01:03:03'), ('partial repair variant: field fill side', ['1:30:10', 30], '00:01:30:10'), ('boundary control', ['100', 25], '00:00:01:00'), ('boundary control', ['23595924', 25], '23:59:59:24'), ('normal control', ['99', 25], '00:00:03:24'), ('normal control', ['99', 24], '00:00:04:03'), ('normal control', ['100', 30], '00:00:01:00')], [('regression: field fill side', ['59.10', 24], '00:00:59:10'), ('regression variant: field fill side', ['23:30:30', 24], '00:23:31:06'), ('partial repair probe: field fill side', ['0:23:23', 24], '00:00:23:23'), ('partial repair variant: field fill side', ['59:59:2', 30], '00:59:59:02'), ('boundary control', ['99', 25], '00:00:03:24'), ('boundary control', ['100', 25], '00:00:01:00'), ('normal control', ['5959', 24], '00:01:01:11'), ('normal control', ['', 25], None), ('normal control', ['10000', 25], '00:01:00:00')], [('regression: field fill side', ['59.99', 24], '00:01:03:03'), ('regression variant: field fill side', ['59.23.99', 30], '00:59:26:09'), ('partial repair probe: field fill side', ['59:23', 24], '00:00:59:23'), ('partial repair variant: field fill side', ['23;1;1', 25], '00:23:01:01'), ('boundary control', ['1.2.3.4', 25], '01:02:03:04'), ('boundary control', ['99', 25], '00:00:03:24'), ('normal control', ['30', 24], '00:00:01:06'), ('normal control', ['1000', 24], '00:00:10:00'), ('normal control', ['2:23:61:99', 25], '02:24:04:24')], [('regression: field fill side', ['0:23:23', 24], '00:00:23:23'), ('regression variant: field fill side', ['59.2', 24], '00:00:59:02'), ('partial repair probe: field fill side', ['99.24.0', 24], '01:39:24:00'), ('partial repair variant: field fill side', ['10:30', 30], '00:00:11:00'), ('boundary control', ['23595924', 25], '23:59:59:24'), ('boundary control', ['1.2.3.4', 25], '01:02:03:04'), ('normal control', ['123456', 25], '00:12:36:06'), ('normal control', ['123456789', 25], None), ('normal control', ['x1', 24], None)], [('regression: field fill side', ['59:23', 24], '00:00:59:23'), ('regression variant: field fill side', ['1:30:10', 30], '00:01:30:10'), ('partial repair probe: field fill side', ['23:30:30', 24], '00:23:31:06'), ('partial repair variant: field fill side', ['23:59', 25], '00:00:25:09'), ('boundary control', ['100', 25], '00:00:01:00'), ('boundary control', ['23595924', 25], '23:59:59:24'), ('normal control', ['0:61:99:1:0', 30], None), ('normal control', ['59:23:23:10:10', 30], None), ('normal control', ['59.99.23.24', 24], '12:39:24:00')]]
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 fill side | 00:00:01:02 | 00:00:01:02 | Passed |
| regression variant: field fill side | 01:39:24:00 | 01:39:24:00 | Passed |
| partial repair probe: field fill side | 00:01:03:03 | 00:01:03:03 | Passed |
| partial repair variant: field fill side | 00:01:30:10 | 00:01:30:10 | Passed |
| boundary control | 00:00:01:00 | 00:00:01:00 | Passed |
| boundary control | 23:59:59:24 | 23:59:59:24 | Passed |
| normal control | 00:00:03:24 | 00:00:03:24 | Passed |
| normal control | 00:00:04:03 | 00:00:04:03 | Passed |
| normal control | 00:00:01:00 | 00:00:01:00 | Passed |
SHA-256 / 63a450d184ec9e3836bf11e98d833692641d80d47120afbc9e5f5fb9ee148ed4
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 2026-09-29T14:49:38.607521+00:00.
Case digest / 531eb3b188fa9d2b4cc4e74741fb3f17876169f9702ff8cee2e173e64a7f32af