FA-68004 / Traffic signal timing plans / Member archive
Volume-density added initial and gap reduction: added initial is rounded per actuation instead of in total · case 04
Variable initial green is one second short whenever the accumulated added initial is fractional.
Case contract
Input {min_green, added_per_act_tenths, max_initial, red_actuations, initial_gap_tenths, min_gap_tenths, time_before_reduction, time_to_reduce, call, t}. Variable initial = min(max_initial, max(min_green, ceil(actuations*added/10))) seconds. Gap reduction is timed from the conflicting call (a call before green start counts from 0): until time_before_reduction elapses the allowed gap is the initial gap; during time_to_reduce it falls linearly with the reduction amount truncated to whole tenths; afterwards it is the minimum gap. Return {initial, gap_tenths}.
Why this case matters
Signal timing arithmetic is exact and integer or rational; a wrong rule silently produces unsafe or inefficient timing plans.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| timing oracle 2 | {"gap_tenths": 15, "initial": 19} | {"gap_tenths": 15, "initial": 20} | Failed |
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