FA-68064 / Traffic signal timing plans / Member archive
Shortway offset transition: shortening cycles are counted against the lengthening distance · case 04
Shortway offset transition returns a wrong result when shortening cycles are counted against the lengthening distance.
Case contract
Input {cycle, current_offset, target_offset, lengthen_pct, shorten_pct}. The needed correction e = (target - current) mod cycle can be made by lengthening cycles by a total of e or shortening them by cycle - e. Per-cycle limits are floor(cycle*pct/100). Choose the direction needing fewer cycles (ties lengthen) and front-load the maximum adjustment each cycle. Return the list of transition cycle lengths ([] when already in step).
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 1 | [93, 93, 93, 93, 81] | [72, 72, 72, 77] | Failed |
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