FA-64168 / Medication dosing calculations / Member archive

Percentage taper schedule rounded to tablets: rounding stall guard · case 03

The taper stalls at 10 mg because 10% rounds back to the same dose.

Member previewVariant 3 · 3 implementations · 6 checks per implementation

Case contract

Input {start_mg, step_pct, every_days, min_mg, tablet_mg, days}. Day 0 uses start_mg. On each day d > 0 with d % every_days == 0 (while the dose is non-zero), the dose becomes current*(100-step_pct)/100 rounded half-up to a tablet_mg multiple; if that does not lower the dose, it is lowered by one tablet_mg instead; a result below min_mg stops the taper (0). Return the list of daily doses for days days.

Why this case matters

Tapers compound percentage reductions with dispensing granularity; stepping day, rounding and stop rules are distinct decisions.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
rounding stall forces one tablet step	`[10.0, 10.0, 10.0, 10.0, 10.0, 10.0, 10.0, 10.0]`	`[10.0, 10.0, 7.5, 7.5, 5.0, 5.0, 2.5, 2.5]`	Failed

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