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FA-64241 / Medication dosing calculations / Open access

Oral liquid volume measured in a dosing syringe: split syringe count · case 01

A 9 mL dose in 5 mL syringes reports a single syringe.

Verified by executionVariant 1 · 8 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

The number of syringes uses floor division instead of ceiling.

THE FAILURE

The number of syringes uses floor division instead of ceiling.

Unsuccessful approach: Adding one to floor division over-counts exact multiples.

Case contract

Input {weight_kg, mg_per_kg, max_mg, conc_mg, conc_ml (label strength conc_mg per conc_ml), syringe_ml (1, 5 or 10)}. dose = min(mg_per_kg*weight, max_mg); volume = dose/(conc_mg/conc_ml). Graduations: 1 mL syringe 0.01 mL, 5 mL syringe 0.2 mL, 10 mL syringe 0.5 mL. Round half-up to the graduation, but if that delivers more than max_mg round down instead. A rounded volume above syringe capacity returns {status SPLIT, syringes = ceil(volume/capacity)}; otherwise {status OK, volume_ml, dose_mg delivered}.

Why this case matters

Liquid dosing converts mg to mL through a label strength and then to what a syringe can actually measure; each step has a distinct defect.

1 / The failure

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json
import math
from fractions import Fraction
N = 1
observations = []
def solve(x):
    dose = min(Fraction(str(x['mg_per_kg'])) * Fraction(str(x['weight_kg'])), x['max_mg'])
    per_ml = Fraction(x['conc_mg'], x['conc_ml'])
    vol = dose / per_ml
    grad = {1: Fraction(1, 100), 5: Fraction(1, 5), 10: Fraction(1, 2)}[x['syringe_ml']]
    v = math.floor(vol / grad + Fraction(1, 2)) * grad
    if v * per_ml > x['max_mg']:
        v = math.floor(vol / grad) * grad
    if v > x['syringe_ml']:
        return {'status': 'SPLIT', 'syringes': int(v // x['syringe_ml'])}
    return {'status': 'OK', 'volume_ml': float(v), 'dose_mg': float(v * per_ml)}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('suspension per 5 mL label',
   {'weight_kg': 13, 'mg_per_kg': 15, 'max_mg': 500, 'conc_mg': 250, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 4.0, 'dose_mg': 200.0}),
  ('5 mL syringe graduations',
   {'weight_kg': 9, 'mg_per_kg': 10, 'max_mg': 500, 'conc_mg': 120, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'OK', 'volume_ml': 3.8, 'dose_mg': 91.2}),
  ('10 mL syringe graduations',
   {'weight_kg': 21, 'mg_per_kg': 7, 'max_mg': 500, 'conc_mg': 100, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 7.5, 'dose_mg': 150.0}),
  ('rounding up would exceed maximum',
   {'weight_kg': 40, 'mg_per_kg': 20, 'max_mg': 195, 'conc_mg': 200, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 4.5, 'dose_mg': 180.0}),
  ('rounding up lands exactly on maximum',
   {'weight_kg': 39, 'mg_per_kg': 5, 'max_mg': 200, 'conc_mg': 200, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 5.0, 'dose_mg': 200.0}),
  ('volume rounds down to capacity',
   {'weight_kg': 10, 'mg_per_kg': '12.1', 'max_mg': 500, 'conc_mg': 120, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'OK', 'volume_ml': 5.0, 'dose_mg': 120.0}),
  ('exact multiple of syringe capacity',
   {'weight_kg': 20, 'mg_per_kg': 5, 'max_mg': 1000, 'conc_mg': 10, 'conc_ml': 1, 'syringe_ml': 5},
   {'status': 'SPLIT', 'syringes': 2}),
  ('split across syringes',
   {'weight_kg': 31, 'mg_per_kg': 15, 'max_mg': 1000, 'conc_mg': 250, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'SPLIT', 'syringes': 2})],
 [('suspension per 5 mL label',
   {'weight_kg': 14, 'mg_per_kg': 15, 'max_mg': 500, 'conc_mg': 250, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 4.0, 'dose_mg': 200.0}),
  ('5 mL syringe graduations',
   {'weight_kg': 10, 'mg_per_kg': 10, 'max_mg': 500, 'conc_mg': 120, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'OK', 'volume_ml': 4.2, 'dose_mg': 100.8}),
  ('10 mL syringe graduations',
   {'weight_kg': 22, 'mg_per_kg': 7, 'max_mg': 500, 'conc_mg': 100, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 7.5, 'dose_mg': 150.0}),
  ('rounding up would exceed maximum',
   {'weight_kg': 40, 'mg_per_kg': 20, 'max_mg': 215, 'conc_mg': 200, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 5.0, 'dose_mg': 200.0}),
  ('rounding up lands exactly on maximum',
   {'weight_kg': 43, 'mg_per_kg': 5, 'max_mg': 220, 'conc_mg': 200, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 5.5, 'dose_mg': 220.0}),
  ('volume rounds down to capacity',
   {'weight_kg': 10, 'mg_per_kg': '12.2', 'max_mg': 500, 'conc_mg': 120, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'OK', 'volume_ml': 5.0, 'dose_mg': 120.0}),
  ('exact multiple of syringe capacity',
   {'weight_kg': 20, 'mg_per_kg': 10, 'max_mg': 1000, 'conc_mg': 20, 'conc_ml': 1, 'syringe_ml': 5},
   {'status': 'SPLIT', 'syringes': 2}),
  ('split across syringes',
   {'weight_kg': 32, 'mg_per_kg': 15, 'max_mg': 1000, 'conc_mg': 250, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'SPLIT', 'syringes': 2})],
 [('suspension per 5 mL label',
   {'weight_kg': 15, 'mg_per_kg': 15, 'max_mg': 500, 'conc_mg': 250, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 4.5, 'dose_mg': 225.0}),
  ('5 mL syringe graduations',
   {'weight_kg': 11, 'mg_per_kg': 10, 'max_mg': 500, 'conc_mg': 120, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'OK', 'volume_ml': 4.6, 'dose_mg': 110.4}),
  ('10 mL syringe graduations',
   {'weight_kg': 23, 'mg_per_kg': 7, 'max_mg': 500, 'conc_mg': 100, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 8.0, 'dose_mg': 160.0}),
  ('rounding up would exceed maximum',
   {'weight_kg': 40, 'mg_per_kg': 20, 'max_mg': 235, 'conc_mg': 200, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 5.5, 'dose_mg': 220.0}),
  ('rounding up lands exactly on maximum',
   {'weight_kg': 47, 'mg_per_kg': 5, 'max_mg': 240, 'conc_mg': 200, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 6.0, 'dose_mg': 240.0}),
  ('volume rounds down to capacity',
   {'weight_kg': 10, 'mg_per_kg': '12.05', 'max_mg': 500, 'conc_mg': 120, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'OK', 'volume_ml': 5.0, 'dose_mg': 120.0}),
  ('exact multiple of syringe capacity',
   {'weight_kg': 20, 'mg_per_kg': 15, 'max_mg': 1000, 'conc_mg': 30, 'conc_ml': 1, 'syringe_ml': 5},
   {'status': 'SPLIT', 'syringes': 2}),
  ('split across syringes',
   {'weight_kg': 34, 'mg_per_kg': 15, 'max_mg': 1000, 'conc_mg': 250, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'SPLIT', 'syringes': 3})],
 [('suspension per 5 mL label',
   {'weight_kg': 16, 'mg_per_kg': 15, 'max_mg': 500, 'conc_mg': 250, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 5.0, 'dose_mg': 250.0}),
  ('5 mL syringe graduations',
   {'weight_kg': 12, 'mg_per_kg': 10, 'max_mg': 500, 'conc_mg': 120, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'OK', 'volume_ml': 5.0, 'dose_mg': 120.0}),
  ('10 mL syringe graduations',
   {'weight_kg': 24, 'mg_per_kg': 7, 'max_mg': 500, 'conc_mg': 100, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 8.5, 'dose_mg': 170.0}),
  ('rounding up would exceed maximum',
   {'weight_kg': 40, 'mg_per_kg': 20, 'max_mg': 255, 'conc_mg': 200, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 6.0, 'dose_mg': 240.0}),
  ('rounding up lands exactly on maximum',
   {'weight_kg': 51, 'mg_per_kg': 5, 'max_mg': 260, 'conc_mg': 200, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 6.5, 'dose_mg': 260.0}),
  ('volume rounds down to capacity',
   {'weight_kg': 10, 'mg_per_kg': '12.15', 'max_mg': 500, 'conc_mg': 120, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'OK', 'volume_ml': 5.0, 'dose_mg': 120.0}),
  ('exact multiple of syringe capacity',
   {'weight_kg': 20, 'mg_per_kg': 20, 'max_mg': 1000, 'conc_mg': 40, 'conc_ml': 1, 'syringe_ml': 5},
   {'status': 'SPLIT', 'syringes': 2}),
  ('split across syringes',
   {'weight_kg': 36, 'mg_per_kg': 15, 'max_mg': 1000, 'conc_mg': 250, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'SPLIT', 'syringes': 3})],
 [('suspension per 5 mL label',
   {'weight_kg': 17, 'mg_per_kg': 15, 'max_mg': 500, 'conc_mg': 250, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 5.0, 'dose_mg': 250.0}),
  ('5 mL syringe graduations',
   {'weight_kg': 13, 'mg_per_kg': 10, 'max_mg': 500, 'conc_mg': 120, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'SPLIT', 'syringes': 2}),
  ('10 mL syringe graduations',
   {'weight_kg': 25, 'mg_per_kg': 7, 'max_mg': 500, 'conc_mg': 100, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 9.0, 'dose_mg': 180.0}),
  ('rounding up would exceed maximum',
   {'weight_kg': 40, 'mg_per_kg': 20, 'max_mg': 275, 'conc_mg': 200, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 6.5, 'dose_mg': 260.0}),
  ('rounding up lands exactly on maximum',
   {'weight_kg': 55, 'mg_per_kg': 5, 'max_mg': 280, 'conc_mg': 200, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 7.0, 'dose_mg': 280.0}),
  ('volume rounds down to capacity',
   {'weight_kg': 10, 'mg_per_kg': '12.12', 'max_mg': 500, 'conc_mg': 120, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'OK', 'volume_ml': 5.0, 'dose_mg': 120.0}),
  ('exact multiple of syringe capacity',
   {'weight_kg': 20, 'mg_per_kg': 25, 'max_mg': 1000, 'conc_mg': 50, 'conc_ml': 1, 'syringe_ml': 5},
   {'status': 'SPLIT', 'syringes': 2}),
  ('split across syringes',
   {'weight_kg': 37, 'mg_per_kg': 15, 'max_mg': 1000, 'conc_mg': 250, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'SPLIT', 'syringes': 3})]]
for label, args, expected in fixtures[N-1]:
    check(label, solve(args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
Boundary fixtureActualExpectedOutcome
suspension per 5 mL label{'dose_mg': 200.0, 'status': 'OK', 'volume_ml': 4.0}{'dose_mg': 200.0, 'status': 'OK', 'volume_ml': 4.0}Passed
5 mL syringe graduations{'dose_mg': 91.2, 'status': 'OK', 'volume_ml': 3.8}{'dose_mg': 91.2, 'status': 'OK', 'volume_ml': 3.8}Passed
10 mL syringe graduations{'dose_mg': 150.0, 'status': 'OK', 'volume_ml': 7.5}{'dose_mg': 150.0, 'status': 'OK', 'volume_ml': 7.5}Passed
rounding up would exceed maximum{'dose_mg': 180.0, 'status': 'OK', 'volume_ml': 4.5}{'dose_mg': 180.0, 'status': 'OK', 'volume_ml': 4.5}Passed
rounding up lands exactly on maximum{'dose_mg': 200.0, 'status': 'OK', 'volume_ml': 5.0}{'dose_mg': 200.0, 'status': 'OK', 'volume_ml': 5.0}Passed
volume rounds down to capacity{'dose_mg': 120.0, 'status': 'OK', 'volume_ml': 5.0}{'dose_mg': 120.0, 'status': 'OK', 'volume_ml': 5.0}Passed
exact multiple of syringe capacity{'status': 'SPLIT', 'syringes': 2}{'status': 'SPLIT', 'syringes': 2}Passed
split across syringes{'status': 'SPLIT', 'syringes': 1}{'status': 'SPLIT', 'syringes': 2}Failed

SHA-256 / 1d47ec52cfdf92e9f6477b7641b59bb42fe184d6871c39da9e88fc43ffdd0ad9

2 / The unsuccessful fix

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json
import math
from fractions import Fraction
N = 1
observations = []
def solve(x):
    dose = min(Fraction(str(x['mg_per_kg'])) * Fraction(str(x['weight_kg'])), x['max_mg'])
    per_ml = Fraction(x['conc_mg'], x['conc_ml'])
    vol = dose / per_ml
    grad = {1: Fraction(1, 100), 5: Fraction(1, 5), 10: Fraction(1, 2)}[x['syringe_ml']]
    v = math.floor(vol / grad + Fraction(1, 2)) * grad
    if v * per_ml > x['max_mg']:
        v = math.floor(vol / grad) * grad
    if v > x['syringe_ml']:
        return {'status': 'SPLIT', 'syringes': int(v // x['syringe_ml']) + 1}
    return {'status': 'OK', 'volume_ml': float(v), 'dose_mg': float(v * per_ml)}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('suspension per 5 mL label',
   {'weight_kg': 13, 'mg_per_kg': 15, 'max_mg': 500, 'conc_mg': 250, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 4.0, 'dose_mg': 200.0}),
  ('5 mL syringe graduations',
   {'weight_kg': 9, 'mg_per_kg': 10, 'max_mg': 500, 'conc_mg': 120, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'OK', 'volume_ml': 3.8, 'dose_mg': 91.2}),
  ('10 mL syringe graduations',
   {'weight_kg': 21, 'mg_per_kg': 7, 'max_mg': 500, 'conc_mg': 100, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 7.5, 'dose_mg': 150.0}),
  ('rounding up would exceed maximum',
   {'weight_kg': 40, 'mg_per_kg': 20, 'max_mg': 195, 'conc_mg': 200, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 4.5, 'dose_mg': 180.0}),
  ('rounding up lands exactly on maximum',
   {'weight_kg': 39, 'mg_per_kg': 5, 'max_mg': 200, 'conc_mg': 200, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 5.0, 'dose_mg': 200.0}),
  ('volume rounds down to capacity',
   {'weight_kg': 10, 'mg_per_kg': '12.1', 'max_mg': 500, 'conc_mg': 120, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'OK', 'volume_ml': 5.0, 'dose_mg': 120.0}),
  ('exact multiple of syringe capacity',
   {'weight_kg': 20, 'mg_per_kg': 5, 'max_mg': 1000, 'conc_mg': 10, 'conc_ml': 1, 'syringe_ml': 5},
   {'status': 'SPLIT', 'syringes': 2}),
  ('split across syringes',
   {'weight_kg': 31, 'mg_per_kg': 15, 'max_mg': 1000, 'conc_mg': 250, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'SPLIT', 'syringes': 2})],
 [('suspension per 5 mL label',
   {'weight_kg': 14, 'mg_per_kg': 15, 'max_mg': 500, 'conc_mg': 250, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 4.0, 'dose_mg': 200.0}),
  ('5 mL syringe graduations',
   {'weight_kg': 10, 'mg_per_kg': 10, 'max_mg': 500, 'conc_mg': 120, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'OK', 'volume_ml': 4.2, 'dose_mg': 100.8}),
  ('10 mL syringe graduations',
   {'weight_kg': 22, 'mg_per_kg': 7, 'max_mg': 500, 'conc_mg': 100, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 7.5, 'dose_mg': 150.0}),
  ('rounding up would exceed maximum',
   {'weight_kg': 40, 'mg_per_kg': 20, 'max_mg': 215, 'conc_mg': 200, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 5.0, 'dose_mg': 200.0}),
  ('rounding up lands exactly on maximum',
   {'weight_kg': 43, 'mg_per_kg': 5, 'max_mg': 220, 'conc_mg': 200, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 5.5, 'dose_mg': 220.0}),
  ('volume rounds down to capacity',
   {'weight_kg': 10, 'mg_per_kg': '12.2', 'max_mg': 500, 'conc_mg': 120, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'OK', 'volume_ml': 5.0, 'dose_mg': 120.0}),
  ('exact multiple of syringe capacity',
   {'weight_kg': 20, 'mg_per_kg': 10, 'max_mg': 1000, 'conc_mg': 20, 'conc_ml': 1, 'syringe_ml': 5},
   {'status': 'SPLIT', 'syringes': 2}),
  ('split across syringes',
   {'weight_kg': 32, 'mg_per_kg': 15, 'max_mg': 1000, 'conc_mg': 250, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'SPLIT', 'syringes': 2})],
 [('suspension per 5 mL label',
   {'weight_kg': 15, 'mg_per_kg': 15, 'max_mg': 500, 'conc_mg': 250, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 4.5, 'dose_mg': 225.0}),
  ('5 mL syringe graduations',
   {'weight_kg': 11, 'mg_per_kg': 10, 'max_mg': 500, 'conc_mg': 120, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'OK', 'volume_ml': 4.6, 'dose_mg': 110.4}),
  ('10 mL syringe graduations',
   {'weight_kg': 23, 'mg_per_kg': 7, 'max_mg': 500, 'conc_mg': 100, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 8.0, 'dose_mg': 160.0}),
  ('rounding up would exceed maximum',
   {'weight_kg': 40, 'mg_per_kg': 20, 'max_mg': 235, 'conc_mg': 200, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 5.5, 'dose_mg': 220.0}),
  ('rounding up lands exactly on maximum',
   {'weight_kg': 47, 'mg_per_kg': 5, 'max_mg': 240, 'conc_mg': 200, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 6.0, 'dose_mg': 240.0}),
  ('volume rounds down to capacity',
   {'weight_kg': 10, 'mg_per_kg': '12.05', 'max_mg': 500, 'conc_mg': 120, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'OK', 'volume_ml': 5.0, 'dose_mg': 120.0}),
  ('exact multiple of syringe capacity',
   {'weight_kg': 20, 'mg_per_kg': 15, 'max_mg': 1000, 'conc_mg': 30, 'conc_ml': 1, 'syringe_ml': 5},
   {'status': 'SPLIT', 'syringes': 2}),
  ('split across syringes',
   {'weight_kg': 34, 'mg_per_kg': 15, 'max_mg': 1000, 'conc_mg': 250, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'SPLIT', 'syringes': 3})],
 [('suspension per 5 mL label',
   {'weight_kg': 16, 'mg_per_kg': 15, 'max_mg': 500, 'conc_mg': 250, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 5.0, 'dose_mg': 250.0}),
  ('5 mL syringe graduations',
   {'weight_kg': 12, 'mg_per_kg': 10, 'max_mg': 500, 'conc_mg': 120, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'OK', 'volume_ml': 5.0, 'dose_mg': 120.0}),
  ('10 mL syringe graduations',
   {'weight_kg': 24, 'mg_per_kg': 7, 'max_mg': 500, 'conc_mg': 100, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 8.5, 'dose_mg': 170.0}),
  ('rounding up would exceed maximum',
   {'weight_kg': 40, 'mg_per_kg': 20, 'max_mg': 255, 'conc_mg': 200, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 6.0, 'dose_mg': 240.0}),
  ('rounding up lands exactly on maximum',
   {'weight_kg': 51, 'mg_per_kg': 5, 'max_mg': 260, 'conc_mg': 200, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 6.5, 'dose_mg': 260.0}),
  ('volume rounds down to capacity',
   {'weight_kg': 10, 'mg_per_kg': '12.15', 'max_mg': 500, 'conc_mg': 120, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'OK', 'volume_ml': 5.0, 'dose_mg': 120.0}),
  ('exact multiple of syringe capacity',
   {'weight_kg': 20, 'mg_per_kg': 20, 'max_mg': 1000, 'conc_mg': 40, 'conc_ml': 1, 'syringe_ml': 5},
   {'status': 'SPLIT', 'syringes': 2}),
  ('split across syringes',
   {'weight_kg': 36, 'mg_per_kg': 15, 'max_mg': 1000, 'conc_mg': 250, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'SPLIT', 'syringes': 3})],
 [('suspension per 5 mL label',
   {'weight_kg': 17, 'mg_per_kg': 15, 'max_mg': 500, 'conc_mg': 250, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 5.0, 'dose_mg': 250.0}),
  ('5 mL syringe graduations',
   {'weight_kg': 13, 'mg_per_kg': 10, 'max_mg': 500, 'conc_mg': 120, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'SPLIT', 'syringes': 2}),
  ('10 mL syringe graduations',
   {'weight_kg': 25, 'mg_per_kg': 7, 'max_mg': 500, 'conc_mg': 100, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 9.0, 'dose_mg': 180.0}),
  ('rounding up would exceed maximum',
   {'weight_kg': 40, 'mg_per_kg': 20, 'max_mg': 275, 'conc_mg': 200, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 6.5, 'dose_mg': 260.0}),
  ('rounding up lands exactly on maximum',
   {'weight_kg': 55, 'mg_per_kg': 5, 'max_mg': 280, 'conc_mg': 200, 'conc_ml': 5, 'syringe_ml': 10},
   {'status': 'OK', 'volume_ml': 7.0, 'dose_mg': 280.0}),
  ('volume rounds down to capacity',
   {'weight_kg': 10, 'mg_per_kg': '12.12', 'max_mg': 500, 'conc_mg': 120, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'OK', 'volume_ml': 5.0, 'dose_mg': 120.0}),
  ('exact multiple of syringe capacity',
   {'weight_kg': 20, 'mg_per_kg': 25, 'max_mg': 1000, 'conc_mg': 50, 'conc_ml': 1, 'syringe_ml': 5},
   {'status': 'SPLIT', 'syringes': 2}),
  ('split across syringes',
   {'weight_kg': 37, 'mg_per_kg': 15, 'max_mg': 1000, 'conc_mg': 250, 'conc_ml': 5, 'syringe_ml': 5},
   {'status': 'SPLIT', 'syringes': 3})]]
for label, args, expected in fixtures[N-1]:
    check(label, solve(args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
Boundary fixtureActualExpectedOutcome
suspension per 5 mL label{'dose_mg': 200.0, 'status': 'OK', 'volume_ml': 4.0}{'dose_mg': 200.0, 'status': 'OK', 'volume_ml': 4.0}Passed
5 mL syringe graduations{'dose_mg': 91.2, 'status': 'OK', 'volume_ml': 3.8}{'dose_mg': 91.2, 'status': 'OK', 'volume_ml': 3.8}Passed
10 mL syringe graduations{'dose_mg': 150.0, 'status': 'OK', 'volume_ml': 7.5}{'dose_mg': 150.0, 'status': 'OK', 'volume_ml': 7.5}Passed
rounding up would exceed maximum{'dose_mg': 180.0, 'status': 'OK', 'volume_ml': 4.5}{'dose_mg': 180.0, 'status': 'OK', 'volume_ml': 4.5}Passed
rounding up lands exactly on maximum{'dose_mg': 200.0, 'status': 'OK', 'volume_ml': 5.0}{'dose_mg': 200.0, 'status': 'OK', 'volume_ml': 5.0}Passed
volume rounds down to capacity{'dose_mg': 120.0, 'status': 'OK', 'volume_ml': 5.0}{'dose_mg': 120.0, 'status': 'OK', 'volume_ml': 5.0}Passed
exact multiple of syringe capacity{'status': 'SPLIT', 'syringes': 3}{'status': 'SPLIT', 'syringes': 2}Failed
split across syringes{'status': 'SPLIT', 'syringes': 2}{'status': 'SPLIT', 'syringes': 2}Passed

SHA-256 / cc3f3c8c06f876ccb84d8e68a9aa596e2ed149af33d10f35f7b5f346b0381070

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This mechanism has 8 recorded checks per implementation. The open-access tier publishes the failure and the unsuccessful fix; the repaired source that passes every check, and the observations that prove it, are available to members.

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Verification & scope

A deterministic toy software model with explicitly stipulated thresholds and formulas; it is not clinical guidance, not a validated medical calculator, and makes no claim of conformance to any published protocol. Numbered variants vary patient and order inputs. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.

Observations recorded using Python 3.12.14 at 2026-09-29T14:47:22.566402+00:00.

Case digest / db71d38c40388cda564ba8023c18a7d01e59b330f15b8f2961ff1a63f6bafd2d