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FA-18781 / Time representation / Open access

Normalized end-of-day hour remains twenty-four or wraps noon · case 01

The decoded time state disagrees with the explicit regression oracle for hour.

Verified by executionVariant 1 · 16 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

Normalized end-of-day hour remains twenty-four or wraps noon.

THE FAILURE

Normalized end-of-day hour remains twenty-four or wraps noon.

Unsuccessful approach: The partial correction still substitutes r['hour'] % 12 at the same fault site.

Case contract

Controlled local date index plus clock label permits ordinary 00:00:00 through 23:59:59, or exact 24:00:00 with zero fractional milliseconds only. Normalize 24:00 to following day 00:00, retaining end-of-day provenance for roundtrip. Date index is an abstract signed day, not Gregorian arithmetic. Return admission, normalized tuple, original-day provenance and total millisecond coordinate.

Why this case matters

Clock transfer and timestamp consumers require preserved coordinate, phase, validity and elapsed-time semantics.

1 / The failure

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json
from fractions import Fraction
N = 1
observations = []
def solve(r):
    hour_ok = 0 <= r['hour'] <= 24
    minute_ok = 0 <= r['minute'] < 60
    second_ok = 0 <= r['second'] < 60
    fraction_ok = 0 <= r['fraction'] < 1000
    end_label = r['hour'] == 24
    end_valid = not end_label or (r['minute'] == 0 and r['second'] == 0 and r['fraction'] == 0)
    valid = hour_ok and minute_ok and second_ok and fraction_ok and end_valid
    day = r['day'] + int(end_label)
    hour = r['hour']
    coordinate = ((day*24+hour)*3600+r['minute']*60+r['second'])*1000+r['fraction']
    return [valid,[day,hour,r['minute'],r['second'],r['fraction']] if valid else None,r['day'] if valid and end_label else None,coordinate if valid else None]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('fixture 1', solve({'day': 10, 'hour': 24, 'minute': 0, 'second': 0, 'fraction': 0}), [True, [11, 0, 0, 0, 0], 10, 950400000])
check('fixture 2', solve({'day': 10, 'hour': 0, 'minute': 0, 'second': 0, 'fraction': 0}), [True, [10, 0, 0, 0, 0], None, 864000000])
check('fixture 3', solve({'day': 10, 'hour': 23, 'minute': 59, 'second': 59, 'fraction': 999}), [True, [10, 23, 59, 59, 999], None, 950399999])
check('fixture 4', solve({'day': -1, 'hour': 24, 'minute': 0, 'second': 0, 'fraction': 0}), [True, [0, 0, 0, 0, 0], -1, 0])
check('fixture 5', solve({'day': 10, 'hour': 24, 'minute': 0, 'second': 1, 'fraction': 0}), [False, None, None, None])
check('fixture 6', solve({'day': 10, 'hour': 24, 'minute': 0, 'second': 0, 'fraction': 1}), [False, None, None, None])
check('fixture 7', solve({'day': 10, 'hour': 24, 'minute': 1, 'second': 0, 'fraction': 0}), [False, None, None, None])
check('fixture 8', solve({'day': 10, 'hour': 25, 'minute': 0, 'second': 0, 'fraction': 0}), [False, None, None, None])
check('fixture 9', solve({'day': 10, 'hour': 12, 'minute': 60, 'second': 0, 'fraction': 0}), [False, None, None, None])
check('fixture 10', solve({'day': 10, 'hour': 12, 'minute': -1, 'second': 0, 'fraction': 0}), [False, None, None, None])
check('fixture 11', solve({'day': 10, 'hour': 12, 'minute': 0, 'second': 60, 'fraction': 0}), [False, None, None, None])
check('fixture 12', solve({'day': 10, 'hour': 12, 'minute': 0, 'second': -1, 'fraction': 0}), [False, None, None, None])
check('fixture 13', solve({'day': 10, 'hour': 12, 'minute': 0, 'second': 0, 'fraction': 1000}), [False, None, None, None])
check('fixture 14', solve({'day': 10, 'hour': 12, 'minute': 0, 'second': 0, 'fraction': -1}), [False, None, None, None])
check('fixture 15', solve({'day': 0, 'hour': 12, 'minute': 30, 'second': 1, 'fraction': 2}), [True, [0, 12, 30, 1, 2], None, 45001002])
variant = [({'day': 11, 'hour': 24, 'minute': 0, 'second': 0, 'fraction': 0}, [True, [12, 0, 0, 0, 0], 11, 1036800000]), ({'day': 12, 'hour': 24, 'minute': 0, 'second': 0, 'fraction': 0}, [True, [13, 0, 0, 0, 0], 12, 1123200000]), ({'day': 13, 'hour': 24, 'minute': 0, 'second': 0, 'fraction': 0}, [True, [14, 0, 0, 0, 0], 13, 1209600000]), ({'day': 14, 'hour': 24, 'minute': 0, 'second': 0, 'fraction': 0}, [True, [15, 0, 0, 0, 0], 14, 1296000000]), ({'day': 15, 'hour': 24, 'minute': 0, 'second': 0, 'fraction': 0}, [True, [16, 0, 0, 0, 0], 15, 1382400000])]
check("variant capture", solve(variant[N-1][0]), variant[N-1][1])
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 fixtureActualExpectedOutcome
fixture 1[True, [11, 24, 0, 0, 0], 10, 1036800000][True, [11, 0, 0, 0, 0], 10, 950400000]Failed
fixture 2[True, [10, 0, 0, 0, 0], None, 864000000][True, [10, 0, 0, 0, 0], None, 864000000]Passed
fixture 3[True, [10, 23, 59, 59, 999], None, 950399999][True, [10, 23, 59, 59, 999], None, 950399999]Passed
fixture 4[True, [0, 24, 0, 0, 0], -1, 86400000][True, [0, 0, 0, 0, 0], -1, 0]Failed
fixture 5[False, None, None, None][False, None, None, None]Passed
fixture 6[False, None, None, None][False, None, None, None]Passed
fixture 7[False, None, None, None][False, None, None, None]Passed
fixture 8[False, None, None, None][False, None, None, None]Passed
fixture 9[False, None, None, None][False, None, None, None]Passed
fixture 10[False, None, None, None][False, None, None, None]Passed
fixture 11[False, None, None, None][False, None, None, None]Passed
fixture 12[False, None, None, None][False, None, None, None]Passed
fixture 13[False, None, None, None][False, None, None, None]Passed
fixture 14[False, None, None, None][False, None, None, None]Passed
fixture 15[True, [0, 12, 30, 1, 2], None, 45001002][True, [0, 12, 30, 1, 2], None, 45001002]Passed
variant capture[True, [12, 24, 0, 0, 0], 11, 1123200000][True, [12, 0, 0, 0, 0], 11, 1036800000]Failed

SHA-256 / 797898078e40367b4974d685b277feb003035419ca5e3c3f306105bbf70db94c

2 / The unsuccessful fix

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json
from fractions import Fraction
N = 1
observations = []
def solve(r):
    hour_ok = 0 <= r['hour'] <= 24
    minute_ok = 0 <= r['minute'] < 60
    second_ok = 0 <= r['second'] < 60
    fraction_ok = 0 <= r['fraction'] < 1000
    end_label = r['hour'] == 24
    end_valid = not end_label or (r['minute'] == 0 and r['second'] == 0 and r['fraction'] == 0)
    valid = hour_ok and minute_ok and second_ok and fraction_ok and end_valid
    day = r['day'] + int(end_label)
    hour = r['hour'] % 12
    coordinate = ((day*24+hour)*3600+r['minute']*60+r['second'])*1000+r['fraction']
    return [valid,[day,hour,r['minute'],r['second'],r['fraction']] if valid else None,r['day'] if valid and end_label else None,coordinate if valid else None]
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
check('fixture 1', solve({'day': 10, 'hour': 24, 'minute': 0, 'second': 0, 'fraction': 0}), [True, [11, 0, 0, 0, 0], 10, 950400000])
check('fixture 2', solve({'day': 10, 'hour': 0, 'minute': 0, 'second': 0, 'fraction': 0}), [True, [10, 0, 0, 0, 0], None, 864000000])
check('fixture 3', solve({'day': 10, 'hour': 23, 'minute': 59, 'second': 59, 'fraction': 999}), [True, [10, 23, 59, 59, 999], None, 950399999])
check('fixture 4', solve({'day': -1, 'hour': 24, 'minute': 0, 'second': 0, 'fraction': 0}), [True, [0, 0, 0, 0, 0], -1, 0])
check('fixture 5', solve({'day': 10, 'hour': 24, 'minute': 0, 'second': 1, 'fraction': 0}), [False, None, None, None])
check('fixture 6', solve({'day': 10, 'hour': 24, 'minute': 0, 'second': 0, 'fraction': 1}), [False, None, None, None])
check('fixture 7', solve({'day': 10, 'hour': 24, 'minute': 1, 'second': 0, 'fraction': 0}), [False, None, None, None])
check('fixture 8', solve({'day': 10, 'hour': 25, 'minute': 0, 'second': 0, 'fraction': 0}), [False, None, None, None])
check('fixture 9', solve({'day': 10, 'hour': 12, 'minute': 60, 'second': 0, 'fraction': 0}), [False, None, None, None])
check('fixture 10', solve({'day': 10, 'hour': 12, 'minute': -1, 'second': 0, 'fraction': 0}), [False, None, None, None])
check('fixture 11', solve({'day': 10, 'hour': 12, 'minute': 0, 'second': 60, 'fraction': 0}), [False, None, None, None])
check('fixture 12', solve({'day': 10, 'hour': 12, 'minute': 0, 'second': -1, 'fraction': 0}), [False, None, None, None])
check('fixture 13', solve({'day': 10, 'hour': 12, 'minute': 0, 'second': 0, 'fraction': 1000}), [False, None, None, None])
check('fixture 14', solve({'day': 10, 'hour': 12, 'minute': 0, 'second': 0, 'fraction': -1}), [False, None, None, None])
check('fixture 15', solve({'day': 0, 'hour': 12, 'minute': 30, 'second': 1, 'fraction': 2}), [True, [0, 12, 30, 1, 2], None, 45001002])
variant = [({'day': 11, 'hour': 24, 'minute': 0, 'second': 0, 'fraction': 0}, [True, [12, 0, 0, 0, 0], 11, 1036800000]), ({'day': 12, 'hour': 24, 'minute': 0, 'second': 0, 'fraction': 0}, [True, [13, 0, 0, 0, 0], 12, 1123200000]), ({'day': 13, 'hour': 24, 'minute': 0, 'second': 0, 'fraction': 0}, [True, [14, 0, 0, 0, 0], 13, 1209600000]), ({'day': 14, 'hour': 24, 'minute': 0, 'second': 0, 'fraction': 0}, [True, [15, 0, 0, 0, 0], 14, 1296000000]), ({'day': 15, 'hour': 24, 'minute': 0, 'second': 0, 'fraction': 0}, [True, [16, 0, 0, 0, 0], 15, 1382400000])]
check("variant capture", solve(variant[N-1][0]), variant[N-1][1])
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 fixtureActualExpectedOutcome
fixture 1[True, [11, 0, 0, 0, 0], 10, 950400000][True, [11, 0, 0, 0, 0], 10, 950400000]Passed
fixture 2[True, [10, 0, 0, 0, 0], None, 864000000][True, [10, 0, 0, 0, 0], None, 864000000]Passed
fixture 3[True, [10, 11, 59, 59, 999], None, 907199999][True, [10, 23, 59, 59, 999], None, 950399999]Failed
fixture 4[True, [0, 0, 0, 0, 0], -1, 0][True, [0, 0, 0, 0, 0], -1, 0]Passed
fixture 5[False, None, None, None][False, None, None, None]Passed
fixture 6[False, None, None, None][False, None, None, None]Passed
fixture 7[False, None, None, None][False, None, None, None]Passed
fixture 8[False, None, None, None][False, None, None, None]Passed
fixture 9[False, None, None, None][False, None, None, None]Passed
fixture 10[False, None, None, None][False, None, None, None]Passed
fixture 11[False, None, None, None][False, None, None, None]Passed
fixture 12[False, None, None, None][False, None, None, None]Passed
fixture 13[False, None, None, None][False, None, None, None]Passed
fixture 14[False, None, None, None][False, None, None, None]Passed
fixture 15[True, [0, 0, 30, 1, 2], None, 1801002][True, [0, 12, 30, 1, 2], None, 45001002]Failed
variant capture[True, [12, 0, 0, 0, 0], 11, 1036800000][True, [12, 0, 0, 0, 0], 11, 1036800000]Passed

SHA-256 / 148cd2bf52ee73141985652b4e48324c0707c92585e215835c68fc0b6841c8b8

HELD IN THE MEMBER ARCHIVE

The verified repair and its recorded checks are member-only.

This mechanism has 16 recorded checks per implementation. The open-access tier publishes the failure and the unsuccessful fix; the repaired source that passes every check, and the observations that prove it, are available to members.

Every case sharing this mechanism uses the same contract and the same repair, so this one record is held back for all of them.

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Verification & scope

Deterministic integer reference model with stipulated units and policies; not a complete clock, wire standard or platform implementation. 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 2026-09-29T14:40:01.097372+00:00.

Case digest / 02ea827efdaf311112924149702de04229c4cbd16546743381dc77e288dc0e1d