FA-68166 / Traffic signal timing plans / Open access
Railroad preemption entry timing: an active yellow is truncated on preemption · case 01
Railroad preemption entry timing returns a wrong result when an active yellow is truncated on preemption.
ROOT CAUSE
The yellow in progress is cut short, which the contract forbids; only the red clearance is timed.
VERIFIED REPAIR
Restore the yellow completion rule so that the step reads `[max(0, y - el) + r, 0]`.
Unsuccessful approach: Completing the yellow but skipping the all-red still enters track clearance without clearing the intersection.
Case contract
Input {state: green|yellow|red (red = all-red clearance), elapsed, min_green, preempt_min_green, yellow, red, fdw, ped: none|walk|fdw, ped_elapsed, ped_truncate, track_current}. If the track clearance phase is already green the answer is [0, 0]. In all-red the remaining red is timed; in yellow the remaining yellow and full red are timed. In green the hold is the larger of the remaining preempt minimum green (not the normal minimum) and the pedestrian time: walk is abandoned and FDW is timed in full, or skipped when ped_truncate; an active FDW completes its remainder unless truncated. Return [seconds until track clearance green, green hold].
Why this case matters
Signal timing arithmetic is exact and integer or rational; a wrong rule silently produces unsafe or inefficient timing plans.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
st, el = x['state'], x['elapsed']
y, r, f = x['yellow'], x['red'], x['fdw']
if st == 'green' and x['track_current']:
return [0, 0]
if st == 'red':
return [max(0, r - el), 0]
if st == 'yellow':
return [r, 0]
ped = 0
if x['ped'] == 'walk':
ped = 0 if x['ped_truncate'] else f
elif x['ped'] == 'fdw':
ped = 0 if x['ped_truncate'] else max(0, f - x['ped_elapsed'])
hold = max(ped, max(0, x['preempt_min_green'] - el))
return [hold + y + r, hold]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[({'state': 'yellow', 'elapsed': 5, 'min_green': 13, 'preempt_min_green': 3, 'yellow': 6, 'red': 3, 'fdw': 13, 'ped': 'none', 'ped_elapsed': 11, 'ped_truncate': False, 'track_current': False}, [4, 0]), ({'state': 'yellow', 'elapsed': 2, 'min_green': 10, 'preempt_min_green': 4, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'none', 'ped_elapsed': 0, 'ped_truncate': False, 'track_current': True}, [4, 0]), ({'state': 'green', 'elapsed': 1, 'min_green': 12, 'preempt_min_green': 10, 'yellow': 4, 'red': 1, 'fdw': 8, 'ped': 'walk', 'ped_elapsed': 5, 'ped_truncate': True, 'track_current': False}, [14, 9]), ({'state': 'green', 'elapsed': 1, 'min_green': 15, 'preempt_min_green': 5, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'fdw', 'ped_elapsed': 4, 'ped_truncate': False, 'track_current': False}, [14, 8]), ({'state': 'yellow', 'elapsed': 2, 'min_green': 8, 'preempt_min_green': 6, 'yellow': 5, 'red': 2, 'fdw': 13, 'ped': 'none', 'ped_elapsed': 17, 'ped_truncate': True, 'track_current': True}, [5, 0]), ({'state': 'green', 'elapsed': 13, 'min_green': 15, 'preempt_min_green': 5, 'yellow': 6, 'red': 2, 'fdw': 15, 'ped': 'none', 'ped_elapsed': 13, 'ped_truncate': True, 'track_current': False}, [8, 0]), ({'state': 'red', 'elapsed': 1, 'min_green': 13, 'preempt_min_green': 5, 'yellow': 5, 'red': 3, 'fdw': 24, 'ped': 'none', 'ped_elapsed': 3, 'ped_truncate': False, 'track_current': True}, [2, 0]), ({'state': 'yellow', 'elapsed': 6, 'min_green': 10, 'preempt_min_green': 10, 'yellow': 6, 'red': 1, 'fdw': 25, 'ped': 'none', 'ped_elapsed': 6, 'ped_truncate': False, 'track_current': True}, [1, 0])], [({'state': 'red', 'elapsed': 7, 'min_green': 11, 'preempt_min_green': 5, 'yellow': 6, 'red': 3, 'fdw': 21, 'ped': 'none', 'ped_elapsed': 8, 'ped_truncate': False, 'track_current': False}, [0, 0]), ({'state': 'green', 'elapsed': 12, 'min_green': 18, 'preempt_min_green': 9, 'yellow': 3, 'red': 1, 'fdw': 25, 'ped': 'walk', 'ped_elapsed': 5, 'ped_truncate': False, 'track_current': True}, [0, 0]), ({'state': 'yellow', 'elapsed': 2, 'min_green': 10, 'preempt_min_green': 4, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'none', 'ped_elapsed': 0, 'ped_truncate': False, 'track_current': True}, [4, 0]), ({'state': 'green', 'elapsed': 15, 'min_green': 8, 'preempt_min_green': 2, 'yellow': 3, 'red': 2, 'fdw': 11, 'ped': 'none', 'ped_elapsed': 9, 'ped_truncate': True, 'track_current': True}, [0, 0]), ({'state': 'yellow', 'elapsed': 0, 'min_green': 20, 'preempt_min_green': 3, 'yellow': 4, 'red': 3, 'fdw': 21, 'ped': 'none', 'ped_elapsed': 9, 'ped_truncate': False, 'track_current': False}, [7, 0]), ({'state': 'green', 'elapsed': 1, 'min_green': 15, 'preempt_min_green': 5, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'fdw', 'ped_elapsed': 4, 'ped_truncate': False, 'track_current': False}, [14, 8]), ({'state': 'yellow', 'elapsed': 5, 'min_green': 13, 'preempt_min_green': 3, 'yellow': 6, 'red': 1, 'fdw': 23, 'ped': 'none', 'ped_elapsed': 4, 'ped_truncate': True, 'track_current': True}, [2, 0]), ({'state': 'green', 'elapsed': 15, 'min_green': 14, 'preempt_min_green': 7, 'yellow': 4, 'red': 2, 'fdw': 20, 'ped': 'walk', 'ped_elapsed': 8, 'ped_truncate': True, 'track_current': False}, [6, 0])], [({'state': 'green', 'elapsed': 16, 'min_green': 19, 'preempt_min_green': 8, 'yellow': 6, 'red': 3, 'fdw': 17, 'ped': 'fdw', 'ped_elapsed': 15, 'ped_truncate': False, 'track_current': False}, [11, 2]), ({'state': 'green', 'elapsed': 2, 'min_green': 15, 'preempt_min_green': 9, 'yellow': 5, 'red': 3, 'fdw': 21, 'ped': 'none', 'ped_elapsed': 3, 'ped_truncate': False, 'track_current': False}, [15, 7]), ({'state': 'yellow', 'elapsed': 2, 'min_green': 10, 'preempt_min_green': 4, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'none', 'ped_elapsed': 0, 'ped_truncate': False, 'track_current': True}, [4, 0]), ({'state': 'green', 'elapsed': 1, 'min_green': 15, 'preempt_min_green': 5, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'fdw', 'ped_elapsed': 4, 'ped_truncate': False, 'track_current': False}, [14, 8]), ({'state': 'green', 'elapsed': 13, 'min_green': 8, 'preempt_min_green': 2, 'yellow': 3, 'red': 2, 'fdw': 8, 'ped': 'none', 'ped_elapsed': 4, 'ped_truncate': True, 'track_current': False}, [5, 0]), ({'state': 'yellow', 'elapsed': 5, 'min_green': 15, 'preempt_min_green': 2, 'yellow': 3, 'red': 2, 'fdw': 17, 'ped': 'none', 'ped_elapsed': 11, 'ped_truncate': False, 'track_current': False}, [2, 0]), ({'state': 'yellow', 'elapsed': 1, 'min_green': 8, 'preempt_min_green': 4, 'yellow': 4, 'red': 3, 'fdw': 19, 'ped': 'none', 'ped_elapsed': 4, 'ped_truncate': False, 'track_current': False}, [6, 0]), ({'state': 'yellow', 'elapsed': 0, 'min_green': 20, 'preempt_min_green': 3, 'yellow': 3, 'red': 3, 'fdw': 19, 'ped': 'none', 'ped_elapsed': 13, 'ped_truncate': True, 'track_current': False}, [6, 0])], [({'state': 'green', 'elapsed': 17, 'min_green': 18, 'preempt_min_green': 9, 'yellow': 4, 'red': 3, 'fdw': 17, 'ped': 'fdw', 'ped_elapsed': 16, 'ped_truncate': True, 'track_current': False}, [7, 0]), ({'state': 'yellow', 'elapsed': 1, 'min_green': 16, 'preempt_min_green': 7, 'yellow': 3, 'red': 3, 'fdw': 18, 'ped': 'none', 'ped_elapsed': 18, 'ped_truncate': True, 'track_current': False}, [5, 0]), ({'state': 'green', 'elapsed': 18, 'min_green': 16, 'preempt_min_green': 9, 'yellow': 6, 'red': 3, 'fdw': 20, 'ped': 'fdw', 'ped_elapsed': 8, 'ped_truncate': True, 'track_current': False}, [9, 0]), ({'state': 'yellow', 'elapsed': 3, 'min_green': 12, 'preempt_min_green': 2, 'yellow': 3, 'red': 3, 'fdw': 24, 'ped': 'none', 'ped_elapsed': 0, 'ped_truncate': False, 'track_current': False}, [3, 0]), ({'state': 'yellow', 'elapsed': 2, 'min_green': 10, 'preempt_min_green': 4, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'none', 'ped_elapsed': 0, 'ped_truncate': False, 'track_current': True}, [4, 0]), ({'state': 'green', 'elapsed': 1, 'min_green': 15, 'preempt_min_green': 5, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'fdw', 'ped_elapsed': 4, 'ped_truncate': False, 'track_current': False}, [14, 8]), ({'state': 'yellow', 'elapsed': 5, 'min_green': 9, 'preempt_min_green': 4, 'yellow': 6, 'red': 2, 'fdw': 22, 'ped': 'none', 'ped_elapsed': 19, 'ped_truncate': False, 'track_current': False}, [3, 0]), ({'state': 'red', 'elapsed': 5, 'min_green': 15, 'preempt_min_green': 3, 'yellow': 3, 'red': 1, 'fdw': 10, 'ped': 'none', 'ped_elapsed': 6, 'ped_truncate': False, 'track_current': False}, [0, 0])], [({'state': 'yellow', 'elapsed': 1, 'min_green': 17, 'preempt_min_green': 8, 'yellow': 6, 'red': 1, 'fdw': 24, 'ped': 'none', 'ped_elapsed': 14, 'ped_truncate': False, 'track_current': True}, [6, 0]), ({'state': 'green', 'elapsed': 1, 'min_green': 15, 'preempt_min_green': 5, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'fdw', 'ped_elapsed': 4, 'ped_truncate': False, 'track_current': False}, [14, 8]), ({'state': 'red', 'elapsed': 9, 'min_green': 15, 'preempt_min_green': 3, 'yellow': 5, 'red': 1, 'fdw': 25, 'ped': 'none', 'ped_elapsed': 11, 'ped_truncate': True, 'track_current': False}, [0, 0]), ({'state': 'green', 'elapsed': 17, 'min_green': 20, 'preempt_min_green': 5, 'yellow': 3, 'red': 3, 'fdw': 19, 'ped': 'walk', 'ped_elapsed': 11, 'ped_truncate': True, 'track_current': True}, [0, 0]), ({'state': 'red', 'elapsed': 4, 'min_green': 12, 'preempt_min_green': 9, 'yellow': 6, 'red': 1, 'fdw': 15, 'ped': 'none', 'ped_elapsed': 20, 'ped_truncate': False, 'track_current': False}, [0, 0]), ({'state': 'yellow', 'elapsed': 2, 'min_green': 10, 'preempt_min_green': 4, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'none', 'ped_elapsed': 0, 'ped_truncate': False, 'track_current': True}, [4, 0]), ({'state': 'green', 'elapsed': 13, 'min_green': 12, 'preempt_min_green': 9, 'yellow': 5, 'red': 3, 'fdw': 15, 'ped': 'none', 'ped_elapsed': 3, 'ped_truncate': True, 'track_current': False}, [8, 0]), ({'state': 'yellow', 'elapsed': 2, 'min_green': 15, 'preempt_min_green': 8, 'yellow': 3, 'red': 3, 'fdw': 23, 'ped': 'none', 'ped_elapsed': 8, 'ped_truncate': True, 'track_current': False}, [4, 0])]]
for i, (args, expected) in enumerate(fixtures[N-1]):
check('timing oracle' + ' %d' % i, 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 |
|---|---|---|---|
| timing oracle 0 | [3, 0] | [4, 0] | Failed |
| timing oracle 1 | [2, 0] | [4, 0] | Failed |
| timing oracle 2 | [14, 9] | [14, 9] | Passed |
| timing oracle 3 | [14, 8] | [14, 8] | Passed |
| timing oracle 4 | [2, 0] | [5, 0] | Failed |
| timing oracle 5 | [8, 0] | [8, 0] | Passed |
| timing oracle 6 | [2, 0] | [2, 0] | Passed |
| timing oracle 7 | [1, 0] | [1, 0] | Passed |
SHA-256 / f67611a76ba310ad73c31e92f5bb79c2e9d655f62329f561e93eb922ba8524c6
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
st, el = x['state'], x['elapsed']
y, r, f = x['yellow'], x['red'], x['fdw']
if st == 'green' and x['track_current']:
return [0, 0]
if st == 'red':
return [max(0, r - el), 0]
if st == 'yellow':
return [max(0, y - el), 0]
ped = 0
if x['ped'] == 'walk':
ped = 0 if x['ped_truncate'] else f
elif x['ped'] == 'fdw':
ped = 0 if x['ped_truncate'] else max(0, f - x['ped_elapsed'])
hold = max(ped, max(0, x['preempt_min_green'] - el))
return [hold + y + r, hold]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[({'state': 'yellow', 'elapsed': 5, 'min_green': 13, 'preempt_min_green': 3, 'yellow': 6, 'red': 3, 'fdw': 13, 'ped': 'none', 'ped_elapsed': 11, 'ped_truncate': False, 'track_current': False}, [4, 0]), ({'state': 'yellow', 'elapsed': 2, 'min_green': 10, 'preempt_min_green': 4, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'none', 'ped_elapsed': 0, 'ped_truncate': False, 'track_current': True}, [4, 0]), ({'state': 'green', 'elapsed': 1, 'min_green': 12, 'preempt_min_green': 10, 'yellow': 4, 'red': 1, 'fdw': 8, 'ped': 'walk', 'ped_elapsed': 5, 'ped_truncate': True, 'track_current': False}, [14, 9]), ({'state': 'green', 'elapsed': 1, 'min_green': 15, 'preempt_min_green': 5, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'fdw', 'ped_elapsed': 4, 'ped_truncate': False, 'track_current': False}, [14, 8]), ({'state': 'yellow', 'elapsed': 2, 'min_green': 8, 'preempt_min_green': 6, 'yellow': 5, 'red': 2, 'fdw': 13, 'ped': 'none', 'ped_elapsed': 17, 'ped_truncate': True, 'track_current': True}, [5, 0]), ({'state': 'green', 'elapsed': 13, 'min_green': 15, 'preempt_min_green': 5, 'yellow': 6, 'red': 2, 'fdw': 15, 'ped': 'none', 'ped_elapsed': 13, 'ped_truncate': True, 'track_current': False}, [8, 0]), ({'state': 'red', 'elapsed': 1, 'min_green': 13, 'preempt_min_green': 5, 'yellow': 5, 'red': 3, 'fdw': 24, 'ped': 'none', 'ped_elapsed': 3, 'ped_truncate': False, 'track_current': True}, [2, 0]), ({'state': 'yellow', 'elapsed': 6, 'min_green': 10, 'preempt_min_green': 10, 'yellow': 6, 'red': 1, 'fdw': 25, 'ped': 'none', 'ped_elapsed': 6, 'ped_truncate': False, 'track_current': True}, [1, 0])], [({'state': 'red', 'elapsed': 7, 'min_green': 11, 'preempt_min_green': 5, 'yellow': 6, 'red': 3, 'fdw': 21, 'ped': 'none', 'ped_elapsed': 8, 'ped_truncate': False, 'track_current': False}, [0, 0]), ({'state': 'green', 'elapsed': 12, 'min_green': 18, 'preempt_min_green': 9, 'yellow': 3, 'red': 1, 'fdw': 25, 'ped': 'walk', 'ped_elapsed': 5, 'ped_truncate': False, 'track_current': True}, [0, 0]), ({'state': 'yellow', 'elapsed': 2, 'min_green': 10, 'preempt_min_green': 4, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'none', 'ped_elapsed': 0, 'ped_truncate': False, 'track_current': True}, [4, 0]), ({'state': 'green', 'elapsed': 15, 'min_green': 8, 'preempt_min_green': 2, 'yellow': 3, 'red': 2, 'fdw': 11, 'ped': 'none', 'ped_elapsed': 9, 'ped_truncate': True, 'track_current': True}, [0, 0]), ({'state': 'yellow', 'elapsed': 0, 'min_green': 20, 'preempt_min_green': 3, 'yellow': 4, 'red': 3, 'fdw': 21, 'ped': 'none', 'ped_elapsed': 9, 'ped_truncate': False, 'track_current': False}, [7, 0]), ({'state': 'green', 'elapsed': 1, 'min_green': 15, 'preempt_min_green': 5, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'fdw', 'ped_elapsed': 4, 'ped_truncate': False, 'track_current': False}, [14, 8]), ({'state': 'yellow', 'elapsed': 5, 'min_green': 13, 'preempt_min_green': 3, 'yellow': 6, 'red': 1, 'fdw': 23, 'ped': 'none', 'ped_elapsed': 4, 'ped_truncate': True, 'track_current': True}, [2, 0]), ({'state': 'green', 'elapsed': 15, 'min_green': 14, 'preempt_min_green': 7, 'yellow': 4, 'red': 2, 'fdw': 20, 'ped': 'walk', 'ped_elapsed': 8, 'ped_truncate': True, 'track_current': False}, [6, 0])], [({'state': 'green', 'elapsed': 16, 'min_green': 19, 'preempt_min_green': 8, 'yellow': 6, 'red': 3, 'fdw': 17, 'ped': 'fdw', 'ped_elapsed': 15, 'ped_truncate': False, 'track_current': False}, [11, 2]), ({'state': 'green', 'elapsed': 2, 'min_green': 15, 'preempt_min_green': 9, 'yellow': 5, 'red': 3, 'fdw': 21, 'ped': 'none', 'ped_elapsed': 3, 'ped_truncate': False, 'track_current': False}, [15, 7]), ({'state': 'yellow', 'elapsed': 2, 'min_green': 10, 'preempt_min_green': 4, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'none', 'ped_elapsed': 0, 'ped_truncate': False, 'track_current': True}, [4, 0]), ({'state': 'green', 'elapsed': 1, 'min_green': 15, 'preempt_min_green': 5, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'fdw', 'ped_elapsed': 4, 'ped_truncate': False, 'track_current': False}, [14, 8]), ({'state': 'green', 'elapsed': 13, 'min_green': 8, 'preempt_min_green': 2, 'yellow': 3, 'red': 2, 'fdw': 8, 'ped': 'none', 'ped_elapsed': 4, 'ped_truncate': True, 'track_current': False}, [5, 0]), ({'state': 'yellow', 'elapsed': 5, 'min_green': 15, 'preempt_min_green': 2, 'yellow': 3, 'red': 2, 'fdw': 17, 'ped': 'none', 'ped_elapsed': 11, 'ped_truncate': False, 'track_current': False}, [2, 0]), ({'state': 'yellow', 'elapsed': 1, 'min_green': 8, 'preempt_min_green': 4, 'yellow': 4, 'red': 3, 'fdw': 19, 'ped': 'none', 'ped_elapsed': 4, 'ped_truncate': False, 'track_current': False}, [6, 0]), ({'state': 'yellow', 'elapsed': 0, 'min_green': 20, 'preempt_min_green': 3, 'yellow': 3, 'red': 3, 'fdw': 19, 'ped': 'none', 'ped_elapsed': 13, 'ped_truncate': True, 'track_current': False}, [6, 0])], [({'state': 'green', 'elapsed': 17, 'min_green': 18, 'preempt_min_green': 9, 'yellow': 4, 'red': 3, 'fdw': 17, 'ped': 'fdw', 'ped_elapsed': 16, 'ped_truncate': True, 'track_current': False}, [7, 0]), ({'state': 'yellow', 'elapsed': 1, 'min_green': 16, 'preempt_min_green': 7, 'yellow': 3, 'red': 3, 'fdw': 18, 'ped': 'none', 'ped_elapsed': 18, 'ped_truncate': True, 'track_current': False}, [5, 0]), ({'state': 'green', 'elapsed': 18, 'min_green': 16, 'preempt_min_green': 9, 'yellow': 6, 'red': 3, 'fdw': 20, 'ped': 'fdw', 'ped_elapsed': 8, 'ped_truncate': True, 'track_current': False}, [9, 0]), ({'state': 'yellow', 'elapsed': 3, 'min_green': 12, 'preempt_min_green': 2, 'yellow': 3, 'red': 3, 'fdw': 24, 'ped': 'none', 'ped_elapsed': 0, 'ped_truncate': False, 'track_current': False}, [3, 0]), ({'state': 'yellow', 'elapsed': 2, 'min_green': 10, 'preempt_min_green': 4, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'none', 'ped_elapsed': 0, 'ped_truncate': False, 'track_current': True}, [4, 0]), ({'state': 'green', 'elapsed': 1, 'min_green': 15, 'preempt_min_green': 5, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'fdw', 'ped_elapsed': 4, 'ped_truncate': False, 'track_current': False}, [14, 8]), ({'state': 'yellow', 'elapsed': 5, 'min_green': 9, 'preempt_min_green': 4, 'yellow': 6, 'red': 2, 'fdw': 22, 'ped': 'none', 'ped_elapsed': 19, 'ped_truncate': False, 'track_current': False}, [3, 0]), ({'state': 'red', 'elapsed': 5, 'min_green': 15, 'preempt_min_green': 3, 'yellow': 3, 'red': 1, 'fdw': 10, 'ped': 'none', 'ped_elapsed': 6, 'ped_truncate': False, 'track_current': False}, [0, 0])], [({'state': 'yellow', 'elapsed': 1, 'min_green': 17, 'preempt_min_green': 8, 'yellow': 6, 'red': 1, 'fdw': 24, 'ped': 'none', 'ped_elapsed': 14, 'ped_truncate': False, 'track_current': True}, [6, 0]), ({'state': 'green', 'elapsed': 1, 'min_green': 15, 'preempt_min_green': 5, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'fdw', 'ped_elapsed': 4, 'ped_truncate': False, 'track_current': False}, [14, 8]), ({'state': 'red', 'elapsed': 9, 'min_green': 15, 'preempt_min_green': 3, 'yellow': 5, 'red': 1, 'fdw': 25, 'ped': 'none', 'ped_elapsed': 11, 'ped_truncate': True, 'track_current': False}, [0, 0]), ({'state': 'green', 'elapsed': 17, 'min_green': 20, 'preempt_min_green': 5, 'yellow': 3, 'red': 3, 'fdw': 19, 'ped': 'walk', 'ped_elapsed': 11, 'ped_truncate': True, 'track_current': True}, [0, 0]), ({'state': 'red', 'elapsed': 4, 'min_green': 12, 'preempt_min_green': 9, 'yellow': 6, 'red': 1, 'fdw': 15, 'ped': 'none', 'ped_elapsed': 20, 'ped_truncate': False, 'track_current': False}, [0, 0]), ({'state': 'yellow', 'elapsed': 2, 'min_green': 10, 'preempt_min_green': 4, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'none', 'ped_elapsed': 0, 'ped_truncate': False, 'track_current': True}, [4, 0]), ({'state': 'green', 'elapsed': 13, 'min_green': 12, 'preempt_min_green': 9, 'yellow': 5, 'red': 3, 'fdw': 15, 'ped': 'none', 'ped_elapsed': 3, 'ped_truncate': True, 'track_current': False}, [8, 0]), ({'state': 'yellow', 'elapsed': 2, 'min_green': 15, 'preempt_min_green': 8, 'yellow': 3, 'red': 3, 'fdw': 23, 'ped': 'none', 'ped_elapsed': 8, 'ped_truncate': True, 'track_current': False}, [4, 0])]]
for i, (args, expected) in enumerate(fixtures[N-1]):
check('timing oracle' + ' %d' % i, 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 |
|---|---|---|---|
| timing oracle 0 | [1, 0] | [4, 0] | Failed |
| timing oracle 1 | [2, 0] | [4, 0] | Failed |
| timing oracle 2 | [14, 9] | [14, 9] | Passed |
| timing oracle 3 | [14, 8] | [14, 8] | Passed |
| timing oracle 4 | [3, 0] | [5, 0] | Failed |
| timing oracle 5 | [8, 0] | [8, 0] | Passed |
| timing oracle 6 | [2, 0] | [2, 0] | Passed |
| timing oracle 7 | [0, 0] | [1, 0] | Failed |
SHA-256 / e99a21869c6ba88e217d97dfc5b08bfbab39b304bfff31b9aeb6206dae14aac9
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(x):
st, el = x['state'], x['elapsed']
y, r, f = x['yellow'], x['red'], x['fdw']
if st == 'green' and x['track_current']:
return [0, 0]
if st == 'red':
return [max(0, r - el), 0]
if st == 'yellow':
return [max(0, y - el) + r, 0]
ped = 0
if x['ped'] == 'walk':
ped = 0 if x['ped_truncate'] else f
elif x['ped'] == 'fdw':
ped = 0 if x['ped_truncate'] else max(0, f - x['ped_elapsed'])
hold = max(ped, max(0, x['preempt_min_green'] - el))
return [hold + y + r, hold]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[({'state': 'yellow', 'elapsed': 5, 'min_green': 13, 'preempt_min_green': 3, 'yellow': 6, 'red': 3, 'fdw': 13, 'ped': 'none', 'ped_elapsed': 11, 'ped_truncate': False, 'track_current': False}, [4, 0]), ({'state': 'yellow', 'elapsed': 2, 'min_green': 10, 'preempt_min_green': 4, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'none', 'ped_elapsed': 0, 'ped_truncate': False, 'track_current': True}, [4, 0]), ({'state': 'green', 'elapsed': 1, 'min_green': 12, 'preempt_min_green': 10, 'yellow': 4, 'red': 1, 'fdw': 8, 'ped': 'walk', 'ped_elapsed': 5, 'ped_truncate': True, 'track_current': False}, [14, 9]), ({'state': 'green', 'elapsed': 1, 'min_green': 15, 'preempt_min_green': 5, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'fdw', 'ped_elapsed': 4, 'ped_truncate': False, 'track_current': False}, [14, 8]), ({'state': 'yellow', 'elapsed': 2, 'min_green': 8, 'preempt_min_green': 6, 'yellow': 5, 'red': 2, 'fdw': 13, 'ped': 'none', 'ped_elapsed': 17, 'ped_truncate': True, 'track_current': True}, [5, 0]), ({'state': 'green', 'elapsed': 13, 'min_green': 15, 'preempt_min_green': 5, 'yellow': 6, 'red': 2, 'fdw': 15, 'ped': 'none', 'ped_elapsed': 13, 'ped_truncate': True, 'track_current': False}, [8, 0]), ({'state': 'red', 'elapsed': 1, 'min_green': 13, 'preempt_min_green': 5, 'yellow': 5, 'red': 3, 'fdw': 24, 'ped': 'none', 'ped_elapsed': 3, 'ped_truncate': False, 'track_current': True}, [2, 0]), ({'state': 'yellow', 'elapsed': 6, 'min_green': 10, 'preempt_min_green': 10, 'yellow': 6, 'red': 1, 'fdw': 25, 'ped': 'none', 'ped_elapsed': 6, 'ped_truncate': False, 'track_current': True}, [1, 0])], [({'state': 'red', 'elapsed': 7, 'min_green': 11, 'preempt_min_green': 5, 'yellow': 6, 'red': 3, 'fdw': 21, 'ped': 'none', 'ped_elapsed': 8, 'ped_truncate': False, 'track_current': False}, [0, 0]), ({'state': 'green', 'elapsed': 12, 'min_green': 18, 'preempt_min_green': 9, 'yellow': 3, 'red': 1, 'fdw': 25, 'ped': 'walk', 'ped_elapsed': 5, 'ped_truncate': False, 'track_current': True}, [0, 0]), ({'state': 'yellow', 'elapsed': 2, 'min_green': 10, 'preempt_min_green': 4, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'none', 'ped_elapsed': 0, 'ped_truncate': False, 'track_current': True}, [4, 0]), ({'state': 'green', 'elapsed': 15, 'min_green': 8, 'preempt_min_green': 2, 'yellow': 3, 'red': 2, 'fdw': 11, 'ped': 'none', 'ped_elapsed': 9, 'ped_truncate': True, 'track_current': True}, [0, 0]), ({'state': 'yellow', 'elapsed': 0, 'min_green': 20, 'preempt_min_green': 3, 'yellow': 4, 'red': 3, 'fdw': 21, 'ped': 'none', 'ped_elapsed': 9, 'ped_truncate': False, 'track_current': False}, [7, 0]), ({'state': 'green', 'elapsed': 1, 'min_green': 15, 'preempt_min_green': 5, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'fdw', 'ped_elapsed': 4, 'ped_truncate': False, 'track_current': False}, [14, 8]), ({'state': 'yellow', 'elapsed': 5, 'min_green': 13, 'preempt_min_green': 3, 'yellow': 6, 'red': 1, 'fdw': 23, 'ped': 'none', 'ped_elapsed': 4, 'ped_truncate': True, 'track_current': True}, [2, 0]), ({'state': 'green', 'elapsed': 15, 'min_green': 14, 'preempt_min_green': 7, 'yellow': 4, 'red': 2, 'fdw': 20, 'ped': 'walk', 'ped_elapsed': 8, 'ped_truncate': True, 'track_current': False}, [6, 0])], [({'state': 'green', 'elapsed': 16, 'min_green': 19, 'preempt_min_green': 8, 'yellow': 6, 'red': 3, 'fdw': 17, 'ped': 'fdw', 'ped_elapsed': 15, 'ped_truncate': False, 'track_current': False}, [11, 2]), ({'state': 'green', 'elapsed': 2, 'min_green': 15, 'preempt_min_green': 9, 'yellow': 5, 'red': 3, 'fdw': 21, 'ped': 'none', 'ped_elapsed': 3, 'ped_truncate': False, 'track_current': False}, [15, 7]), ({'state': 'yellow', 'elapsed': 2, 'min_green': 10, 'preempt_min_green': 4, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'none', 'ped_elapsed': 0, 'ped_truncate': False, 'track_current': True}, [4, 0]), ({'state': 'green', 'elapsed': 1, 'min_green': 15, 'preempt_min_green': 5, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'fdw', 'ped_elapsed': 4, 'ped_truncate': False, 'track_current': False}, [14, 8]), ({'state': 'green', 'elapsed': 13, 'min_green': 8, 'preempt_min_green': 2, 'yellow': 3, 'red': 2, 'fdw': 8, 'ped': 'none', 'ped_elapsed': 4, 'ped_truncate': True, 'track_current': False}, [5, 0]), ({'state': 'yellow', 'elapsed': 5, 'min_green': 15, 'preempt_min_green': 2, 'yellow': 3, 'red': 2, 'fdw': 17, 'ped': 'none', 'ped_elapsed': 11, 'ped_truncate': False, 'track_current': False}, [2, 0]), ({'state': 'yellow', 'elapsed': 1, 'min_green': 8, 'preempt_min_green': 4, 'yellow': 4, 'red': 3, 'fdw': 19, 'ped': 'none', 'ped_elapsed': 4, 'ped_truncate': False, 'track_current': False}, [6, 0]), ({'state': 'yellow', 'elapsed': 0, 'min_green': 20, 'preempt_min_green': 3, 'yellow': 3, 'red': 3, 'fdw': 19, 'ped': 'none', 'ped_elapsed': 13, 'ped_truncate': True, 'track_current': False}, [6, 0])], [({'state': 'green', 'elapsed': 17, 'min_green': 18, 'preempt_min_green': 9, 'yellow': 4, 'red': 3, 'fdw': 17, 'ped': 'fdw', 'ped_elapsed': 16, 'ped_truncate': True, 'track_current': False}, [7, 0]), ({'state': 'yellow', 'elapsed': 1, 'min_green': 16, 'preempt_min_green': 7, 'yellow': 3, 'red': 3, 'fdw': 18, 'ped': 'none', 'ped_elapsed': 18, 'ped_truncate': True, 'track_current': False}, [5, 0]), ({'state': 'green', 'elapsed': 18, 'min_green': 16, 'preempt_min_green': 9, 'yellow': 6, 'red': 3, 'fdw': 20, 'ped': 'fdw', 'ped_elapsed': 8, 'ped_truncate': True, 'track_current': False}, [9, 0]), ({'state': 'yellow', 'elapsed': 3, 'min_green': 12, 'preempt_min_green': 2, 'yellow': 3, 'red': 3, 'fdw': 24, 'ped': 'none', 'ped_elapsed': 0, 'ped_truncate': False, 'track_current': False}, [3, 0]), ({'state': 'yellow', 'elapsed': 2, 'min_green': 10, 'preempt_min_green': 4, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'none', 'ped_elapsed': 0, 'ped_truncate': False, 'track_current': True}, [4, 0]), ({'state': 'green', 'elapsed': 1, 'min_green': 15, 'preempt_min_green': 5, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'fdw', 'ped_elapsed': 4, 'ped_truncate': False, 'track_current': False}, [14, 8]), ({'state': 'yellow', 'elapsed': 5, 'min_green': 9, 'preempt_min_green': 4, 'yellow': 6, 'red': 2, 'fdw': 22, 'ped': 'none', 'ped_elapsed': 19, 'ped_truncate': False, 'track_current': False}, [3, 0]), ({'state': 'red', 'elapsed': 5, 'min_green': 15, 'preempt_min_green': 3, 'yellow': 3, 'red': 1, 'fdw': 10, 'ped': 'none', 'ped_elapsed': 6, 'ped_truncate': False, 'track_current': False}, [0, 0])], [({'state': 'yellow', 'elapsed': 1, 'min_green': 17, 'preempt_min_green': 8, 'yellow': 6, 'red': 1, 'fdw': 24, 'ped': 'none', 'ped_elapsed': 14, 'ped_truncate': False, 'track_current': True}, [6, 0]), ({'state': 'green', 'elapsed': 1, 'min_green': 15, 'preempt_min_green': 5, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'fdw', 'ped_elapsed': 4, 'ped_truncate': False, 'track_current': False}, [14, 8]), ({'state': 'red', 'elapsed': 9, 'min_green': 15, 'preempt_min_green': 3, 'yellow': 5, 'red': 1, 'fdw': 25, 'ped': 'none', 'ped_elapsed': 11, 'ped_truncate': True, 'track_current': False}, [0, 0]), ({'state': 'green', 'elapsed': 17, 'min_green': 20, 'preempt_min_green': 5, 'yellow': 3, 'red': 3, 'fdw': 19, 'ped': 'walk', 'ped_elapsed': 11, 'ped_truncate': True, 'track_current': True}, [0, 0]), ({'state': 'red', 'elapsed': 4, 'min_green': 12, 'preempt_min_green': 9, 'yellow': 6, 'red': 1, 'fdw': 15, 'ped': 'none', 'ped_elapsed': 20, 'ped_truncate': False, 'track_current': False}, [0, 0]), ({'state': 'yellow', 'elapsed': 2, 'min_green': 10, 'preempt_min_green': 4, 'yellow': 4, 'red': 2, 'fdw': 12, 'ped': 'none', 'ped_elapsed': 0, 'ped_truncate': False, 'track_current': True}, [4, 0]), ({'state': 'green', 'elapsed': 13, 'min_green': 12, 'preempt_min_green': 9, 'yellow': 5, 'red': 3, 'fdw': 15, 'ped': 'none', 'ped_elapsed': 3, 'ped_truncate': True, 'track_current': False}, [8, 0]), ({'state': 'yellow', 'elapsed': 2, 'min_green': 15, 'preempt_min_green': 8, 'yellow': 3, 'red': 3, 'fdw': 23, 'ped': 'none', 'ped_elapsed': 8, 'ped_truncate': True, 'track_current': False}, [4, 0])]]
for i, (args, expected) in enumerate(fixtures[N-1]):
check('timing oracle' + ' %d' % i, 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 |
|---|---|---|---|
| timing oracle 0 | [4, 0] | [4, 0] | Passed |
| timing oracle 1 | [4, 0] | [4, 0] | Passed |
| timing oracle 2 | [14, 9] | [14, 9] | Passed |
| timing oracle 3 | [14, 8] | [14, 8] | Passed |
| timing oracle 4 | [5, 0] | [5, 0] | Passed |
| timing oracle 5 | [8, 0] | [8, 0] | Passed |
| timing oracle 6 | [2, 0] | [2, 0] | Passed |
| timing oracle 7 | [1, 0] | [1, 0] | Passed |
SHA-256 / e2c1d5fb47d57b9b4f95507e80bacc5736732550a05917e02b5b6dbcdc2c1c99
Verification & scope
A deterministic, bounded toy model with a stipulated contract; it makes no claim of conformance to any agency manual or 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 2026-09-29T14:47:59.648749+00:00.
Case digest / 6df5392bcf7267ec83496ba40b771a12aa8b7a067ba55b7720142bc0dd5b951e