FA-62296 / Currency rounding and FX conversion / Open access
A request below the smallest note is charged the fee · case 01
The customer pays the ATM fee for a withdrawal that dispensed nothing.
ROOT CAUSE
The empty-dispense guard is missing, so the fee is still added.
VERIFIED REPAIR
Return ERR:below-min-note when no note can be dispensed.
Unsuccessful approach: Returning a zero charge still reports a completed zero withdrawal instead of an error.
Case contract
solve(home_minor, rate, note, fee_minor): a request of home_minor home cents at rate foreign major units per home major unit is dispensed as the largest multiple of the smallest note not exceeding the converted amount (floor). If nothing can be dispensed return 'ERR:below-min-note'. The customer is charged the dispensed foreign amount converted back at the same rate, rounded UP to a home cent, plus fee_minor. Return [foreign_dispensed, charged_minor].
Why this case matters
Currency amounts must be rounded at the right stage and in the right unit, or ledgers, quotes and settlements drift by minor units.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
from decimal import Decimal, ROUND_HALF_EVEN, ROUND_HALF_UP, ROUND_FLOOR, ROUND_CEILING, ROUND_DOWN, ROUND_UP, ROUND_HALF_DOWN
N = 1
observations = []
def solve(home_minor, rate, note, fee_minor):
r = Decimal(rate)
home = Decimal(home_minor) / 100
units = (home * r / note).to_integral_value(rounding=ROUND_FLOOR)
foreign = int(units) * note
pass
charged = int((Decimal(foreign) / r * 100).to_integral_value(rounding=ROUND_CEILING)) + fee_minor
return [foreign, charged]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('regression zero-dispense 1', (500, '0.92', 5, 250), 'ERR:below-min-note'),
('regression zero-dispense 2', (100, '0.7893', 10, 199), 'ERR:below-min-note'),
('control: yen notes', (20000, '151.37', 1000, 500), [30000, 20319]),
('control: euro fives', (1000, '0.92', 5, 0), [5, 544]),
('control: exact multiple', (10870, '0.92', 10, 300), [100, 11170]),
('control: big notes', (100000, '1352.5', 10000, 0), [1350000, 99816])],
[('regression zero-dispense 1', (500, '0.92', 5, 250), 'ERR:below-min-note'),
('regression zero-dispense 2', (100, '0.7893', 10, 199), 'ERR:below-min-note'),
('control: exact multiple', (10870, '0.92', 10, 300), [100, 11170]),
('control: big notes', (100000, '1352.5', 10000, 0), [1350000, 99816]),
('control: sterling tens', (7777, '0.7893', 10, 199), [60, 7801]),
('control: yen notes', (20000, '151.37', 1000, 500), [30000, 20319])],
[('regression zero-dispense 1', (500, '0.92', 5, 250), 'ERR:below-min-note'),
('regression zero-dispense 2', (100, '0.7893', 10, 199), 'ERR:below-min-note'),
('control: yen notes', (20000, '151.37', 1000, 500), [30000, 20319]),
('control: euro fives', (1000, '0.92', 5, 0), [5, 544]),
('control: exact multiple', (10870, '0.92', 10, 300), [100, 11170]),
('control: big notes', (100000, '1352.5', 10000, 0), [1350000, 99816])],
[('regression zero-dispense 1', (500, '0.92', 5, 250), 'ERR:below-min-note'),
('regression zero-dispense 2', (100, '0.7893', 10, 199), 'ERR:below-min-note'),
('control: exact multiple', (10870, '0.92', 10, 300), [100, 11170]),
('control: big notes', (100000, '1352.5', 10000, 0), [1350000, 99816]),
('control: sterling tens', (7777, '0.7893', 10, 199), [60, 7801]),
('control: yen notes', (20000, '151.37', 1000, 500), [30000, 20319])],
[('regression zero-dispense 1', (500, '0.92', 5, 250), 'ERR:below-min-note'),
('regression zero-dispense 2', (100, '0.7893', 10, 199), 'ERR:below-min-note'),
('control: yen notes', (20000, '151.37', 1000, 500), [30000, 20319]),
('control: euro fives', (1000, '0.92', 5, 0), [5, 544]),
('control: exact multiple', (10870, '0.92', 10, 300), [100, 11170]),
('control: big notes', (100000, '1352.5', 10000, 0), [1350000, 99816])]]
for label, args, expected in cases[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 fixture | Actual | Expected | Outcome |
|---|---|---|---|
| regression zero-dispense 1 | [0, 250] | ERR:below-min-note | Failed |
| regression zero-dispense 2 | [0, 199] | ERR:below-min-note | Failed |
| control: yen notes | [30000, 20319] | [30000, 20319] | Passed |
| control: euro fives | [5, 544] | [5, 544] | Passed |
| control: exact multiple | [100, 11170] | [100, 11170] | Passed |
| control: big notes | [1350000, 99816] | [1350000, 99816] | Passed |
SHA-256 / 50b18bb9aee4ffdc3d1c8cc82dbc46367a868c05aec304d049acc95a070b2204
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
from decimal import Decimal, ROUND_HALF_EVEN, ROUND_HALF_UP, ROUND_FLOOR, ROUND_CEILING, ROUND_DOWN, ROUND_UP, ROUND_HALF_DOWN
N = 1
observations = []
def solve(home_minor, rate, note, fee_minor):
r = Decimal(rate)
home = Decimal(home_minor) / 100
units = (home * r / note).to_integral_value(rounding=ROUND_FLOOR)
foreign = int(units) * note
if foreign == 0: return [0, 0]
charged = int((Decimal(foreign) / r * 100).to_integral_value(rounding=ROUND_CEILING)) + fee_minor
return [foreign, charged]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('regression zero-dispense 1', (500, '0.92', 5, 250), 'ERR:below-min-note'),
('regression zero-dispense 2', (100, '0.7893', 10, 199), 'ERR:below-min-note'),
('control: yen notes', (20000, '151.37', 1000, 500), [30000, 20319]),
('control: euro fives', (1000, '0.92', 5, 0), [5, 544]),
('control: exact multiple', (10870, '0.92', 10, 300), [100, 11170]),
('control: big notes', (100000, '1352.5', 10000, 0), [1350000, 99816])],
[('regression zero-dispense 1', (500, '0.92', 5, 250), 'ERR:below-min-note'),
('regression zero-dispense 2', (100, '0.7893', 10, 199), 'ERR:below-min-note'),
('control: exact multiple', (10870, '0.92', 10, 300), [100, 11170]),
('control: big notes', (100000, '1352.5', 10000, 0), [1350000, 99816]),
('control: sterling tens', (7777, '0.7893', 10, 199), [60, 7801]),
('control: yen notes', (20000, '151.37', 1000, 500), [30000, 20319])],
[('regression zero-dispense 1', (500, '0.92', 5, 250), 'ERR:below-min-note'),
('regression zero-dispense 2', (100, '0.7893', 10, 199), 'ERR:below-min-note'),
('control: yen notes', (20000, '151.37', 1000, 500), [30000, 20319]),
('control: euro fives', (1000, '0.92', 5, 0), [5, 544]),
('control: exact multiple', (10870, '0.92', 10, 300), [100, 11170]),
('control: big notes', (100000, '1352.5', 10000, 0), [1350000, 99816])],
[('regression zero-dispense 1', (500, '0.92', 5, 250), 'ERR:below-min-note'),
('regression zero-dispense 2', (100, '0.7893', 10, 199), 'ERR:below-min-note'),
('control: exact multiple', (10870, '0.92', 10, 300), [100, 11170]),
('control: big notes', (100000, '1352.5', 10000, 0), [1350000, 99816]),
('control: sterling tens', (7777, '0.7893', 10, 199), [60, 7801]),
('control: yen notes', (20000, '151.37', 1000, 500), [30000, 20319])],
[('regression zero-dispense 1', (500, '0.92', 5, 250), 'ERR:below-min-note'),
('regression zero-dispense 2', (100, '0.7893', 10, 199), 'ERR:below-min-note'),
('control: yen notes', (20000, '151.37', 1000, 500), [30000, 20319]),
('control: euro fives', (1000, '0.92', 5, 0), [5, 544]),
('control: exact multiple', (10870, '0.92', 10, 300), [100, 11170]),
('control: big notes', (100000, '1352.5', 10000, 0), [1350000, 99816])]]
for label, args, expected in cases[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 fixture | Actual | Expected | Outcome |
|---|---|---|---|
| regression zero-dispense 1 | [0, 0] | ERR:below-min-note | Failed |
| regression zero-dispense 2 | [0, 0] | ERR:below-min-note | Failed |
| control: yen notes | [30000, 20319] | [30000, 20319] | Passed |
| control: euro fives | [5, 544] | [5, 544] | Passed |
| control: exact multiple | [100, 11170] | [100, 11170] | Passed |
| control: big notes | [1350000, 99816] | [1350000, 99816] | Passed |
SHA-256 / ee5bcb82f95a54f677f9d4f666b1370c1baabbc3b1bd9159991cd30e181411e1
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
from decimal import Decimal, ROUND_HALF_EVEN, ROUND_HALF_UP, ROUND_FLOOR, ROUND_CEILING, ROUND_DOWN, ROUND_UP, ROUND_HALF_DOWN
N = 1
observations = []
def solve(home_minor, rate, note, fee_minor):
r = Decimal(rate)
home = Decimal(home_minor) / 100
units = (home * r / note).to_integral_value(rounding=ROUND_FLOOR)
foreign = int(units) * note
if foreign == 0: return 'ERR:below-min-note'
charged = int((Decimal(foreign) / r * 100).to_integral_value(rounding=ROUND_CEILING)) + fee_minor
return [foreign, charged]
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('regression zero-dispense 1', (500, '0.92', 5, 250), 'ERR:below-min-note'),
('regression zero-dispense 2', (100, '0.7893', 10, 199), 'ERR:below-min-note'),
('control: yen notes', (20000, '151.37', 1000, 500), [30000, 20319]),
('control: euro fives', (1000, '0.92', 5, 0), [5, 544]),
('control: exact multiple', (10870, '0.92', 10, 300), [100, 11170]),
('control: big notes', (100000, '1352.5', 10000, 0), [1350000, 99816])],
[('regression zero-dispense 1', (500, '0.92', 5, 250), 'ERR:below-min-note'),
('regression zero-dispense 2', (100, '0.7893', 10, 199), 'ERR:below-min-note'),
('control: exact multiple', (10870, '0.92', 10, 300), [100, 11170]),
('control: big notes', (100000, '1352.5', 10000, 0), [1350000, 99816]),
('control: sterling tens', (7777, '0.7893', 10, 199), [60, 7801]),
('control: yen notes', (20000, '151.37', 1000, 500), [30000, 20319])],
[('regression zero-dispense 1', (500, '0.92', 5, 250), 'ERR:below-min-note'),
('regression zero-dispense 2', (100, '0.7893', 10, 199), 'ERR:below-min-note'),
('control: yen notes', (20000, '151.37', 1000, 500), [30000, 20319]),
('control: euro fives', (1000, '0.92', 5, 0), [5, 544]),
('control: exact multiple', (10870, '0.92', 10, 300), [100, 11170]),
('control: big notes', (100000, '1352.5', 10000, 0), [1350000, 99816])],
[('regression zero-dispense 1', (500, '0.92', 5, 250), 'ERR:below-min-note'),
('regression zero-dispense 2', (100, '0.7893', 10, 199), 'ERR:below-min-note'),
('control: exact multiple', (10870, '0.92', 10, 300), [100, 11170]),
('control: big notes', (100000, '1352.5', 10000, 0), [1350000, 99816]),
('control: sterling tens', (7777, '0.7893', 10, 199), [60, 7801]),
('control: yen notes', (20000, '151.37', 1000, 500), [30000, 20319])],
[('regression zero-dispense 1', (500, '0.92', 5, 250), 'ERR:below-min-note'),
('regression zero-dispense 2', (100, '0.7893', 10, 199), 'ERR:below-min-note'),
('control: yen notes', (20000, '151.37', 1000, 500), [30000, 20319]),
('control: euro fives', (1000, '0.92', 5, 0), [5, 544]),
('control: exact multiple', (10870, '0.92', 10, 300), [100, 11170]),
('control: big notes', (100000, '1352.5', 10000, 0), [1350000, 99816])]]
for label, args, expected in cases[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 fixture | Actual | Expected | Outcome |
|---|---|---|---|
| regression zero-dispense 1 | ERR:below-min-note | ERR:below-min-note | Passed |
| regression zero-dispense 2 | ERR:below-min-note | ERR:below-min-note | Passed |
| control: yen notes | [30000, 20319] | [30000, 20319] | Passed |
| control: euro fives | [5, 544] | [5, 544] | Passed |
| control: exact multiple | [100, 11170] | [100, 11170] | Passed |
| control: big notes | [1350000, 99816] | [1350000, 99816] | Passed |
SHA-256 / fdcef0c505d46870faccbd92f06c2a7519845feeb8fc2f5cab977984664cbd2e
Verification & scope
A deterministic, bounded teaching model with a stipulated toy contract; it makes no claim of conformance to any real regulation, standard, or institution's rules. 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 2026-09-29T14:47:03.322514+00:00.
Case digest / 7aa99a85efdbafec2f181929154ba43edfadbfc1c5d760c2db09fb22eb360075