FA-63975 / Medication dosing calculations / Member archive

Tablet strength selection with scored halves: candidate ranking · case 05

Two tablets of a smaller strength are chosen over one and a half of a larger strength giving the same dose.

Member previewVariant 5 · 3 implementations · 9 checks per implementation

Case contract

Input {target_mg, strengths, scored (strengths that may be halved), tol_pct}. For each strength s: step = s/2 if s is scored else s; units = target/step rounded half-up (skip if 0); dose = units*step; tablets = dose/s (skip if more than 4 tablets); keep only |dose-target|*100 <= tol_pct*target. Prefer smallest absolute error, then fewest physical tablets (ceil of tablets), then the largest strength. Return {status OK, strength, tablets, dose_mg} or {status NO_MATCH}.

Why this case matters

Dispensing systems translate an ordered dose into real tablets; halving rules, tolerance, and ranking are separate decisions.

One recorded failure

Sample boundary fixture

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

Boundary fixture	Actual	Expected	Outcome
equal error prefers larger strength	`{"dose_mg": 30.0, "status": "OK", "strength": 15, "tablets": 2.0}`	`{"dose_mg": 30.0, "status": "OK", "strength": 20, "tablets": 1.5}`	Failed

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