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FA-67916 / Traffic signal timing plans / Open access

Yellow and all-red intervals: the yellow interval is truncated to tenths · case 01

Yellow and all-red intervals returns a wrong result when the yellow interval is truncated to tenths.

Verified by executionVariant 1 · 8 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

Truncation shortens the yellow below the computed minimum by up to 0.1 s.

VERIFIED REPAIR

Restore the yellow rounding rule so that the step reads `math.ceil((t + v / den) * 10)`.

Unsuccessful approach: Rounding up to whole seconds overshoots the stipulated tenth-of-second resolution.

Case contract

Input {speed_mph, grade_pct (uphill positive), reaction_tenths, decel ft/s^2, width_ft, veh_len_ft, crosswalk_ft, ped}. v = 1.467*speed ft/s; yellow = t + v/(2a + 2*32.2*grade/100), rounded UP to 0.1 s and clamped to [3.0, 6.0]; a non-positive denominator returns 'invalid'. All-red = (W + vehicle length)/v where W includes the far crosswalk when ped is true, rounded UP to 0.1 s and clamped to [1.0, 6.0]. Return tenths.

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
from fractions import Fraction
import math
N = 1
observations = []
def solve(x):
    v = Fraction(x['speed_mph']) * Fraction(1467, 1000)
    t = Fraction(x['reaction_tenths'], 10)
    den = 2 * x['decel'] + 2 * Fraction(322, 10) * Fraction(x['grade_pct'], 100)
    if den <= 0:
        return 'invalid'
    yl = max(30, min(60, int((t + v / den) * 10)))
    w = x['width_ft'] + (x['crosswalk_ft'] if x['ped'] else 0)
    rd = max(10, min(60, math.ceil((w + x['veh_len_ft']) / v * 10)))
    return {'yellow_tenths': yl, 'red_tenths': rd}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[({'speed_mph': 65, 'grade_pct': 0, 'reaction_tenths': 8, 'decel': 8, 'width_ft': 53, 'veh_len_ft': 20, 'crosswalk_ft': 15, 'ped': False}, {'yellow_tenths': 60, 'red_tenths': 10}), ({'speed_mph': 30, 'grade_pct': 0, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 60, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 33, 'red_tenths': 19}), ({'speed_mph': 65, 'grade_pct': -7, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 120, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 60, 'red_tenths': 16}), ({'speed_mph': 30, 'grade_pct': -8, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 44, 'veh_len_ft': 40, 'crosswalk_ft': 10, 'ped': False}, {'yellow_tenths': 40, 'red_tenths': 20}), ({'speed_mph': 25, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 12, 'width_ft': 111, 'veh_len_ft': 40, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 30, 'red_tenths': 42}), ({'speed_mph': 35, 'grade_pct': 0, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 81, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': False}, {'yellow_tenths': 36, 'red_tenths': 20}), ({'speed_mph': 45, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 80, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 48, 'red_tenths': 17}), ({'speed_mph': 70, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 11, 'width_ft': 70, 'veh_len_ft': 16, 'crosswalk_ft': 10, 'ped': False}, {'yellow_tenths': 60, 'red_tenths': 10})], [({'speed_mph': 55, 'grade_pct': 7, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 96, 'veh_len_ft': 20, 'crosswalk_ft': 8, 'ped': False}, {'yellow_tenths': 43, 'red_tenths': 15}), ({'speed_mph': 30, 'grade_pct': 0, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 60, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 33, 'red_tenths': 19}), ({'speed_mph': 60, 'grade_pct': -3, 'reaction_tenths': 15, 'decel': 8, 'width_ft': 79, 'veh_len_ft': 16, 'crosswalk_ft': 10, 'ped': False}, {'yellow_tenths': 60, 'red_tenths': 11}), ({'speed_mph': 40, 'grade_pct': 4, 'reaction_tenths': 10, 'decel': 8, 'width_ft': 55, 'veh_len_ft': 40, 'crosswalk_ft': 15, 'ped': True}, {'yellow_tenths': 42, 'red_tenths': 19}), ({'speed_mph': 65, 'grade_pct': -7, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 120, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 60, 'red_tenths': 16}), ({'speed_mph': 25, 'grade_pct': -5, 'reaction_tenths': 8, 'decel': 11, 'width_ft': 43, 'veh_len_ft': 16, 'crosswalk_ft': 8, 'ped': True}, {'yellow_tenths': 30, 'red_tenths': 19}), ({'speed_mph': 45, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 80, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 48, 'red_tenths': 17}), ({'speed_mph': 65, 'grade_pct': -6, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 55, 'veh_len_ft': 20, 'crosswalk_ft': 15, 'ped': False}, {'yellow_tenths': 60, 'red_tenths': 10})], [({'speed_mph': 70, 'grade_pct': 2, 'reaction_tenths': 12, 'decel': 8, 'width_ft': 119, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 60, 'red_tenths': 15}), ({'speed_mph': 30, 'grade_pct': -1, 'reaction_tenths': 12, 'decel': 8, 'width_ft': 59, 'veh_len_ft': 40, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 41, 'red_tenths': 25}), ({'speed_mph': 50, 'grade_pct': 6, 'reaction_tenths': 12, 'decel': 8, 'width_ft': 132, 'veh_len_ft': 25, 'crosswalk_ft': 12, 'ped': True}, {'yellow_tenths': 49, 'red_tenths': 24}), ({'speed_mph': 45, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 80, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 48, 'red_tenths': 17}), ({'speed_mph': 30, 'grade_pct': 0, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 60, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 33, 'red_tenths': 19}), ({'speed_mph': 65, 'grade_pct': -7, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 120, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 60, 'red_tenths': 16}), ({'speed_mph': 20, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 11, 'width_ft': 114, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 30, 'red_tenths': 46}), ({'speed_mph': 65, 'grade_pct': -6, 'reaction_tenths': 8, 'decel': 8, 'width_ft': 69, 'veh_len_ft': 20, 'crosswalk_ft': 15, 'ped': False}, {'yellow_tenths': 60, 'red_tenths': 10})], [({'speed_mph': 30, 'grade_pct': 3, 'reaction_tenths': 10, 'decel': 8, 'width_ft': 130, 'veh_len_ft': 20, 'crosswalk_ft': 15, 'ped': True}, {'yellow_tenths': 35, 'red_tenths': 38}), ({'speed_mph': 65, 'grade_pct': -7, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 120, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 60, 'red_tenths': 16}), ({'speed_mph': 30, 'grade_pct': 0, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 60, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 33, 'red_tenths': 19}), ({'speed_mph': 20, 'grade_pct': -6, 'reaction_tenths': 12, 'decel': 11, 'width_ft': 58, 'veh_len_ft': 25, 'crosswalk_ft': 12, 'ped': True}, {'yellow_tenths': 30, 'red_tenths': 33}), ({'speed_mph': 70, 'grade_pct': -5, 'reaction_tenths': 15, 'decel': 8, 'width_ft': 92, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 60, 'red_tenths': 11}), ({'speed_mph': 20, 'grade_pct': 1, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 47, 'veh_len_ft': 25, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 30, 'red_tenths': 25}), ({'speed_mph': 40, 'grade_pct': 6, 'reaction_tenths': 12, 'decel': 10, 'width_ft': 56, 'veh_len_ft': 25, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 37, 'red_tenths': 14}), ({'speed_mph': 45, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 80, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 48, 'red_tenths': 17})], [({'speed_mph': 65, 'grade_pct': -7, 'reaction_tenths': 12, 'decel': 10, 'width_ft': 98, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': True}, {'yellow_tenths': 60, 'red_tenths': 14}), ({'speed_mph': 70, 'grade_pct': 6, 'reaction_tenths': 10, 'decel': 11, 'width_ft': 113, 'veh_len_ft': 25, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 50, 'red_tenths': 15}), ({'speed_mph': 50, 'grade_pct': -7, 'reaction_tenths': 12, 'decel': 12, 'width_ft': 106, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': True}, {'yellow_tenths': 50, 'red_tenths': 19}), ({'speed_mph': 65, 'grade_pct': -7, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 120, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 60, 'red_tenths': 16}), ({'speed_mph': 20, 'grade_pct': -3, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 51, 'veh_len_ft': 16, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 30, 'red_tenths': 23}), ({'speed_mph': 30, 'grade_pct': -2, 'reaction_tenths': 8, 'decel': 11, 'width_ft': 101, 'veh_len_ft': 16, 'crosswalk_ft': 8, 'ped': False}, {'yellow_tenths': 30, 'red_tenths': 27}), ({'speed_mph': 45, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 80, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 48, 'red_tenths': 17}), ({'speed_mph': 30, 'grade_pct': 0, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 60, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 33, 'red_tenths': 19})]]
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 fixtureActualExpectedOutcome
timing oracle 0{'red_tenths': 10, 'yellow_tenths': 60}{'red_tenths': 10, 'yellow_tenths': 60}Passed
timing oracle 1{'red_tenths': 19, 'yellow_tenths': 32}{'red_tenths': 19, 'yellow_tenths': 33}Failed
timing oracle 2{'red_tenths': 16, 'yellow_tenths': 60}{'red_tenths': 16, 'yellow_tenths': 60}Passed
timing oracle 3{'red_tenths': 20, 'yellow_tenths': 39}{'red_tenths': 20, 'yellow_tenths': 40}Failed
timing oracle 4{'red_tenths': 42, 'yellow_tenths': 30}{'red_tenths': 42, 'yellow_tenths': 30}Passed
timing oracle 5{'red_tenths': 20, 'yellow_tenths': 35}{'red_tenths': 20, 'yellow_tenths': 36}Failed
timing oracle 6{'red_tenths': 17, 'yellow_tenths': 47}{'red_tenths': 17, 'yellow_tenths': 48}Failed
timing oracle 7{'red_tenths': 10, 'yellow_tenths': 60}{'red_tenths': 10, 'yellow_tenths': 60}Passed

SHA-256 / e257ae78000c7f54928f826dc1a4cf3a06eb7ac41b732e18434d39a67474bdfb

2 / The unsuccessful fix

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json
from fractions import Fraction
import math
N = 1
observations = []
def solve(x):
    v = Fraction(x['speed_mph']) * Fraction(1467, 1000)
    t = Fraction(x['reaction_tenths'], 10)
    den = 2 * x['decel'] + 2 * Fraction(322, 10) * Fraction(x['grade_pct'], 100)
    if den <= 0:
        return 'invalid'
    yl = max(30, min(60, math.ceil(t + v / den) * 10))
    w = x['width_ft'] + (x['crosswalk_ft'] if x['ped'] else 0)
    rd = max(10, min(60, math.ceil((w + x['veh_len_ft']) / v * 10)))
    return {'yellow_tenths': yl, 'red_tenths': rd}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[({'speed_mph': 65, 'grade_pct': 0, 'reaction_tenths': 8, 'decel': 8, 'width_ft': 53, 'veh_len_ft': 20, 'crosswalk_ft': 15, 'ped': False}, {'yellow_tenths': 60, 'red_tenths': 10}), ({'speed_mph': 30, 'grade_pct': 0, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 60, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 33, 'red_tenths': 19}), ({'speed_mph': 65, 'grade_pct': -7, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 120, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 60, 'red_tenths': 16}), ({'speed_mph': 30, 'grade_pct': -8, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 44, 'veh_len_ft': 40, 'crosswalk_ft': 10, 'ped': False}, {'yellow_tenths': 40, 'red_tenths': 20}), ({'speed_mph': 25, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 12, 'width_ft': 111, 'veh_len_ft': 40, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 30, 'red_tenths': 42}), ({'speed_mph': 35, 'grade_pct': 0, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 81, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': False}, {'yellow_tenths': 36, 'red_tenths': 20}), ({'speed_mph': 45, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 80, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 48, 'red_tenths': 17}), ({'speed_mph': 70, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 11, 'width_ft': 70, 'veh_len_ft': 16, 'crosswalk_ft': 10, 'ped': False}, {'yellow_tenths': 60, 'red_tenths': 10})], [({'speed_mph': 55, 'grade_pct': 7, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 96, 'veh_len_ft': 20, 'crosswalk_ft': 8, 'ped': False}, {'yellow_tenths': 43, 'red_tenths': 15}), ({'speed_mph': 30, 'grade_pct': 0, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 60, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 33, 'red_tenths': 19}), ({'speed_mph': 60, 'grade_pct': -3, 'reaction_tenths': 15, 'decel': 8, 'width_ft': 79, 'veh_len_ft': 16, 'crosswalk_ft': 10, 'ped': False}, {'yellow_tenths': 60, 'red_tenths': 11}), ({'speed_mph': 40, 'grade_pct': 4, 'reaction_tenths': 10, 'decel': 8, 'width_ft': 55, 'veh_len_ft': 40, 'crosswalk_ft': 15, 'ped': True}, {'yellow_tenths': 42, 'red_tenths': 19}), ({'speed_mph': 65, 'grade_pct': -7, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 120, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 60, 'red_tenths': 16}), ({'speed_mph': 25, 'grade_pct': -5, 'reaction_tenths': 8, 'decel': 11, 'width_ft': 43, 'veh_len_ft': 16, 'crosswalk_ft': 8, 'ped': True}, {'yellow_tenths': 30, 'red_tenths': 19}), ({'speed_mph': 45, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 80, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 48, 'red_tenths': 17}), ({'speed_mph': 65, 'grade_pct': -6, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 55, 'veh_len_ft': 20, 'crosswalk_ft': 15, 'ped': False}, {'yellow_tenths': 60, 'red_tenths': 10})], [({'speed_mph': 70, 'grade_pct': 2, 'reaction_tenths': 12, 'decel': 8, 'width_ft': 119, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 60, 'red_tenths': 15}), ({'speed_mph': 30, 'grade_pct': -1, 'reaction_tenths': 12, 'decel': 8, 'width_ft': 59, 'veh_len_ft': 40, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 41, 'red_tenths': 25}), ({'speed_mph': 50, 'grade_pct': 6, 'reaction_tenths': 12, 'decel': 8, 'width_ft': 132, 'veh_len_ft': 25, 'crosswalk_ft': 12, 'ped': True}, {'yellow_tenths': 49, 'red_tenths': 24}), ({'speed_mph': 45, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 80, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 48, 'red_tenths': 17}), ({'speed_mph': 30, 'grade_pct': 0, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 60, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 33, 'red_tenths': 19}), ({'speed_mph': 65, 'grade_pct': -7, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 120, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 60, 'red_tenths': 16}), ({'speed_mph': 20, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 11, 'width_ft': 114, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 30, 'red_tenths': 46}), ({'speed_mph': 65, 'grade_pct': -6, 'reaction_tenths': 8, 'decel': 8, 'width_ft': 69, 'veh_len_ft': 20, 'crosswalk_ft': 15, 'ped': False}, {'yellow_tenths': 60, 'red_tenths': 10})], [({'speed_mph': 30, 'grade_pct': 3, 'reaction_tenths': 10, 'decel': 8, 'width_ft': 130, 'veh_len_ft': 20, 'crosswalk_ft': 15, 'ped': True}, {'yellow_tenths': 35, 'red_tenths': 38}), ({'speed_mph': 65, 'grade_pct': -7, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 120, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 60, 'red_tenths': 16}), ({'speed_mph': 30, 'grade_pct': 0, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 60, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 33, 'red_tenths': 19}), ({'speed_mph': 20, 'grade_pct': -6, 'reaction_tenths': 12, 'decel': 11, 'width_ft': 58, 'veh_len_ft': 25, 'crosswalk_ft': 12, 'ped': True}, {'yellow_tenths': 30, 'red_tenths': 33}), ({'speed_mph': 70, 'grade_pct': -5, 'reaction_tenths': 15, 'decel': 8, 'width_ft': 92, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 60, 'red_tenths': 11}), ({'speed_mph': 20, 'grade_pct': 1, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 47, 'veh_len_ft': 25, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 30, 'red_tenths': 25}), ({'speed_mph': 40, 'grade_pct': 6, 'reaction_tenths': 12, 'decel': 10, 'width_ft': 56, 'veh_len_ft': 25, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 37, 'red_tenths': 14}), ({'speed_mph': 45, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 80, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 48, 'red_tenths': 17})], [({'speed_mph': 65, 'grade_pct': -7, 'reaction_tenths': 12, 'decel': 10, 'width_ft': 98, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': True}, {'yellow_tenths': 60, 'red_tenths': 14}), ({'speed_mph': 70, 'grade_pct': 6, 'reaction_tenths': 10, 'decel': 11, 'width_ft': 113, 'veh_len_ft': 25, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 50, 'red_tenths': 15}), ({'speed_mph': 50, 'grade_pct': -7, 'reaction_tenths': 12, 'decel': 12, 'width_ft': 106, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': True}, {'yellow_tenths': 50, 'red_tenths': 19}), ({'speed_mph': 65, 'grade_pct': -7, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 120, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 60, 'red_tenths': 16}), ({'speed_mph': 20, 'grade_pct': -3, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 51, 'veh_len_ft': 16, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 30, 'red_tenths': 23}), ({'speed_mph': 30, 'grade_pct': -2, 'reaction_tenths': 8, 'decel': 11, 'width_ft': 101, 'veh_len_ft': 16, 'crosswalk_ft': 8, 'ped': False}, {'yellow_tenths': 30, 'red_tenths': 27}), ({'speed_mph': 45, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 80, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 48, 'red_tenths': 17}), ({'speed_mph': 30, 'grade_pct': 0, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 60, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 33, 'red_tenths': 19})]]
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 fixtureActualExpectedOutcome
timing oracle 0{'red_tenths': 10, 'yellow_tenths': 60}{'red_tenths': 10, 'yellow_tenths': 60}Passed
timing oracle 1{'red_tenths': 19, 'yellow_tenths': 40}{'red_tenths': 19, 'yellow_tenths': 33}Failed
timing oracle 2{'red_tenths': 16, 'yellow_tenths': 60}{'red_tenths': 16, 'yellow_tenths': 60}Passed
timing oracle 3{'red_tenths': 20, 'yellow_tenths': 40}{'red_tenths': 20, 'yellow_tenths': 40}Passed
timing oracle 4{'red_tenths': 42, 'yellow_tenths': 30}{'red_tenths': 42, 'yellow_tenths': 30}Passed
timing oracle 5{'red_tenths': 20, 'yellow_tenths': 40}{'red_tenths': 20, 'yellow_tenths': 36}Failed
timing oracle 6{'red_tenths': 17, 'yellow_tenths': 50}{'red_tenths': 17, 'yellow_tenths': 48}Failed
timing oracle 7{'red_tenths': 10, 'yellow_tenths': 60}{'red_tenths': 10, 'yellow_tenths': 60}Passed

SHA-256 / 70394a9d3f806ae2c1e531ea31120d50a447b5f1a3e1c8841735857750ddc9cd

3 / The verified repair

Exit 0
"""Failure Map reference implementation. Python standard library only."""
import json
from fractions import Fraction
import math
N = 1
observations = []
def solve(x):
    v = Fraction(x['speed_mph']) * Fraction(1467, 1000)
    t = Fraction(x['reaction_tenths'], 10)
    den = 2 * x['decel'] + 2 * Fraction(322, 10) * Fraction(x['grade_pct'], 100)
    if den <= 0:
        return 'invalid'
    yl = max(30, min(60, math.ceil((t + v / den) * 10)))
    w = x['width_ft'] + (x['crosswalk_ft'] if x['ped'] else 0)
    rd = max(10, min(60, math.ceil((w + x['veh_len_ft']) / v * 10)))
    return {'yellow_tenths': yl, 'red_tenths': rd}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[({'speed_mph': 65, 'grade_pct': 0, 'reaction_tenths': 8, 'decel': 8, 'width_ft': 53, 'veh_len_ft': 20, 'crosswalk_ft': 15, 'ped': False}, {'yellow_tenths': 60, 'red_tenths': 10}), ({'speed_mph': 30, 'grade_pct': 0, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 60, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 33, 'red_tenths': 19}), ({'speed_mph': 65, 'grade_pct': -7, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 120, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 60, 'red_tenths': 16}), ({'speed_mph': 30, 'grade_pct': -8, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 44, 'veh_len_ft': 40, 'crosswalk_ft': 10, 'ped': False}, {'yellow_tenths': 40, 'red_tenths': 20}), ({'speed_mph': 25, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 12, 'width_ft': 111, 'veh_len_ft': 40, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 30, 'red_tenths': 42}), ({'speed_mph': 35, 'grade_pct': 0, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 81, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': False}, {'yellow_tenths': 36, 'red_tenths': 20}), ({'speed_mph': 45, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 80, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 48, 'red_tenths': 17}), ({'speed_mph': 70, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 11, 'width_ft': 70, 'veh_len_ft': 16, 'crosswalk_ft': 10, 'ped': False}, {'yellow_tenths': 60, 'red_tenths': 10})], [({'speed_mph': 55, 'grade_pct': 7, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 96, 'veh_len_ft': 20, 'crosswalk_ft': 8, 'ped': False}, {'yellow_tenths': 43, 'red_tenths': 15}), ({'speed_mph': 30, 'grade_pct': 0, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 60, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 33, 'red_tenths': 19}), ({'speed_mph': 60, 'grade_pct': -3, 'reaction_tenths': 15, 'decel': 8, 'width_ft': 79, 'veh_len_ft': 16, 'crosswalk_ft': 10, 'ped': False}, {'yellow_tenths': 60, 'red_tenths': 11}), ({'speed_mph': 40, 'grade_pct': 4, 'reaction_tenths': 10, 'decel': 8, 'width_ft': 55, 'veh_len_ft': 40, 'crosswalk_ft': 15, 'ped': True}, {'yellow_tenths': 42, 'red_tenths': 19}), ({'speed_mph': 65, 'grade_pct': -7, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 120, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 60, 'red_tenths': 16}), ({'speed_mph': 25, 'grade_pct': -5, 'reaction_tenths': 8, 'decel': 11, 'width_ft': 43, 'veh_len_ft': 16, 'crosswalk_ft': 8, 'ped': True}, {'yellow_tenths': 30, 'red_tenths': 19}), ({'speed_mph': 45, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 80, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 48, 'red_tenths': 17}), ({'speed_mph': 65, 'grade_pct': -6, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 55, 'veh_len_ft': 20, 'crosswalk_ft': 15, 'ped': False}, {'yellow_tenths': 60, 'red_tenths': 10})], [({'speed_mph': 70, 'grade_pct': 2, 'reaction_tenths': 12, 'decel': 8, 'width_ft': 119, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 60, 'red_tenths': 15}), ({'speed_mph': 30, 'grade_pct': -1, 'reaction_tenths': 12, 'decel': 8, 'width_ft': 59, 'veh_len_ft': 40, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 41, 'red_tenths': 25}), ({'speed_mph': 50, 'grade_pct': 6, 'reaction_tenths': 12, 'decel': 8, 'width_ft': 132, 'veh_len_ft': 25, 'crosswalk_ft': 12, 'ped': True}, {'yellow_tenths': 49, 'red_tenths': 24}), ({'speed_mph': 45, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 80, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 48, 'red_tenths': 17}), ({'speed_mph': 30, 'grade_pct': 0, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 60, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 33, 'red_tenths': 19}), ({'speed_mph': 65, 'grade_pct': -7, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 120, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 60, 'red_tenths': 16}), ({'speed_mph': 20, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 11, 'width_ft': 114, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 30, 'red_tenths': 46}), ({'speed_mph': 65, 'grade_pct': -6, 'reaction_tenths': 8, 'decel': 8, 'width_ft': 69, 'veh_len_ft': 20, 'crosswalk_ft': 15, 'ped': False}, {'yellow_tenths': 60, 'red_tenths': 10})], [({'speed_mph': 30, 'grade_pct': 3, 'reaction_tenths': 10, 'decel': 8, 'width_ft': 130, 'veh_len_ft': 20, 'crosswalk_ft': 15, 'ped': True}, {'yellow_tenths': 35, 'red_tenths': 38}), ({'speed_mph': 65, 'grade_pct': -7, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 120, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 60, 'red_tenths': 16}), ({'speed_mph': 30, 'grade_pct': 0, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 60, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 33, 'red_tenths': 19}), ({'speed_mph': 20, 'grade_pct': -6, 'reaction_tenths': 12, 'decel': 11, 'width_ft': 58, 'veh_len_ft': 25, 'crosswalk_ft': 12, 'ped': True}, {'yellow_tenths': 30, 'red_tenths': 33}), ({'speed_mph': 70, 'grade_pct': -5, 'reaction_tenths': 15, 'decel': 8, 'width_ft': 92, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 60, 'red_tenths': 11}), ({'speed_mph': 20, 'grade_pct': 1, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 47, 'veh_len_ft': 25, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 30, 'red_tenths': 25}), ({'speed_mph': 40, 'grade_pct': 6, 'reaction_tenths': 12, 'decel': 10, 'width_ft': 56, 'veh_len_ft': 25, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 37, 'red_tenths': 14}), ({'speed_mph': 45, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 80, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 48, 'red_tenths': 17})], [({'speed_mph': 65, 'grade_pct': -7, 'reaction_tenths': 12, 'decel': 10, 'width_ft': 98, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': True}, {'yellow_tenths': 60, 'red_tenths': 14}), ({'speed_mph': 70, 'grade_pct': 6, 'reaction_tenths': 10, 'decel': 11, 'width_ft': 113, 'veh_len_ft': 25, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 50, 'red_tenths': 15}), ({'speed_mph': 50, 'grade_pct': -7, 'reaction_tenths': 12, 'decel': 12, 'width_ft': 106, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': True}, {'yellow_tenths': 50, 'red_tenths': 19}), ({'speed_mph': 65, 'grade_pct': -7, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 120, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 60, 'red_tenths': 16}), ({'speed_mph': 20, 'grade_pct': -3, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 51, 'veh_len_ft': 16, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 30, 'red_tenths': 23}), ({'speed_mph': 30, 'grade_pct': -2, 'reaction_tenths': 8, 'decel': 11, 'width_ft': 101, 'veh_len_ft': 16, 'crosswalk_ft': 8, 'ped': False}, {'yellow_tenths': 30, 'red_tenths': 27}), ({'speed_mph': 45, 'grade_pct': -4, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 80, 'veh_len_ft': 20, 'crosswalk_ft': 10, 'ped': True}, {'yellow_tenths': 48, 'red_tenths': 17}), ({'speed_mph': 30, 'grade_pct': 0, 'reaction_tenths': 10, 'decel': 10, 'width_ft': 60, 'veh_len_ft': 20, 'crosswalk_ft': 12, 'ped': False}, {'yellow_tenths': 33, 'red_tenths': 19})]]
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 fixtureActualExpectedOutcome
timing oracle 0{'red_tenths': 10, 'yellow_tenths': 60}{'red_tenths': 10, 'yellow_tenths': 60}Passed
timing oracle 1{'red_tenths': 19, 'yellow_tenths': 33}{'red_tenths': 19, 'yellow_tenths': 33}Passed
timing oracle 2{'red_tenths': 16, 'yellow_tenths': 60}{'red_tenths': 16, 'yellow_tenths': 60}Passed
timing oracle 3{'red_tenths': 20, 'yellow_tenths': 40}{'red_tenths': 20, 'yellow_tenths': 40}Passed
timing oracle 4{'red_tenths': 42, 'yellow_tenths': 30}{'red_tenths': 42, 'yellow_tenths': 30}Passed
timing oracle 5{'red_tenths': 20, 'yellow_tenths': 36}{'red_tenths': 20, 'yellow_tenths': 36}Passed
timing oracle 6{'red_tenths': 17, 'yellow_tenths': 48}{'red_tenths': 17, 'yellow_tenths': 48}Passed
timing oracle 7{'red_tenths': 10, 'yellow_tenths': 60}{'red_tenths': 10, 'yellow_tenths': 60}Passed

SHA-256 / ac101f24f7df7ce2ddb81ef2745f0363db1cdf26c6b07c7827e23799379d3fd7

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 2026-09-29T14:47:57.243334+00:00.

Case digest / 6aa5c04c05790c89748e236f550cc1c1d52598896f3625d47969e28349d3c665