FA-68853 / Tide and marine navigation tables / Member archive
Rule of twelfths: Falling tide applies the range as a rise · case 03
Ebb predictions climb above the preceding high water.
Case contract
Input [t1,h1,t2,h2,t] in hours/metres for consecutive turning points t1<t2 (rise or fall). The interval is split into six equal tide hours with cumulative twelfths 0,1,3,6,9,11,12 and linear interpolation inside a tide hour. Return height rounded to 4 decimals, or None when t2<=t1 or t lies outside [t1,t2].
Why this case matters
Tide tables and passage plans turn published predictions into go/no-go decisions about depth, clearance and timing.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| rule of twelfths [2, 5.2, 8.5, 0.8, 5.25] | 7.4 | 3.0 | Failed |
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