FAILURE MAP
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FA-62136 / Currency rounding and FX conversion / Open access

Negative minor amounts are split with floor division · case 01

-150 cents renders as '$-2.50'.

Verified by executionVariant 1 · 7 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

divmod on the signed amount floors the whole part and yields a positive remainder.

VERIFIED REPAIR

Split the absolute amount and apply the sign separately.

Unsuccessful approach: Truncating division fixes the magnitude but takes the sign from the whole part, losing it for amounts under one unit.

Case contract

solve(minor, ccy): format integer minor units. Styles: USD '$' prefix, ',' groups, '.' decimal, 2 digits; EUR ' €' suffix, '.' groups, ',' decimal, 2; JPY '¥' prefix, ',' groups, 0 digits (no decimal separator); CHF 'CHF ' prefix, "'" groups, '.', 2; KWD 'KD ' prefix, ',', '.', 3. Group the whole part in threes from the right; the fraction is zero-padded to the exponent. A negative amount places '-' before everything. Unknown codes return 'ERR:currency'.

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

N = 1
observations = []
def solve(minor, ccy):
    spec = {'USD': ('$', '', ',', '.', 2), 'EUR': ('', ' €', '.', ',', 2), 'JPY': ('¥', '', ',', '.', 0), 'CHF': ('CHF ', '', "'", '.', 2), 'KWD': ('KD ', '', ',', '.', 3)}
    if ccy not in spec: return 'ERR:currency'
    pre, suf, grp, dec, e = spec[ccy]
    neg = minor < 0
    major, frac = divmod(minor, 10 ** e)
    digits = str(abs(major))
    groups = []
    while len(digits) > 3:
        groups.insert(0, digits[-3:])
        digits = digits[:-3]
    groups.insert(0, digits)
    body = grp.join(groups)
    if e: body += dec + str(frac).zfill(e)
    return ('-' if neg else '') + pre + body + suf
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('regression negative-divmod 1', (-150, 'USD'), '-$1.50'), ('regression negative-divmod 2', (-50, 'EUR'), '-0,50 €'),
  ('partial repair guard 2', (-50, 'KWD'), '-KD 0.050'), ('control: dollars', (123450, 'USD'), '$1,234.50'),
  ('control: yen', (1234567, 'JPY'), '¥1,234,567'), ('control: franc', (12345678, 'CHF'), "CHF 123'456.78"),
  ('control: dinar', (1005, 'KWD'), 'KD 1.005')],
 [('regression negative-divmod 1', (-50, 'KWD'), '-KD 0.050'),
  ('regression negative-divmod 2', (-105, 'KWD'), '-KD 0.105'), ('partial repair guard 2', (-50, 'CHF'), '-CHF 0.50'),
  ('control: yen', (1234567, 'JPY'), '¥1,234,567'), ('control: franc', (12345678, 'CHF'), "CHF 123'456.78"),
  ('control: dinar', (1005, 'KWD'), 'KD 1.005'), ('control: unknown', (5, 'GBP'), 'ERR:currency')],
 [('regression negative-divmod 1', (-123456, 'EUR'), '-1.234,56 €'),
  ('regression negative-divmod 2', (-987654321, 'USD'), '-$9,876,543.21'),
  ('partial repair guard 1', (-5, 'CHF'), '-CHF 0.05'), ('partial repair guard 2', (-5, 'USD'), '-$0.05'),
  ('control: unknown', (5, 'GBP'), 'ERR:currency'), ('control: million euros', (100000000, 'EUR'), '1.000.000,00 €'),
  ('control: zero yen', (0, 'JPY'), '¥0'), ('control: small dollars', (105, 'USD'), '$1.05')],
 [('regression negative-divmod 1', (-99999, 'KWD'), '-KD 99.999'),
  ('regression negative-divmod 2', (-99999, 'USD'), '-$999.99'), ('partial repair guard 1', (-5, 'KWD'), '-KD 0.005'),
  ('partial repair guard 2', (-999, 'KWD'), '-KD 0.999'), ('control: small dollars', (105, 'USD'), '$1.05'),
  ('control: negative yen', (-1000, 'JPY'), '-¥1,000'), ('control: dollars', (123450, 'USD'), '$1,234.50'),
  ('control: negative dollars', (-150, 'USD'), '-$1.50')],
 [('regression negative-divmod 1', (-50, 'CHF'), '-CHF 0.50'),
  ('regression negative-divmod 2', (-105, 'EUR'), '-1,05 €'), ('partial repair guard 1', (-50, 'USD'), '-$0.50'),
  ('partial repair guard 2', (-5, 'EUR'), '-0,05 €'), ('control: negative dollars', (-150, 'USD'), '-$1.50'),
  ('control: negative euro cents', (-50, 'EUR'), '-0,50 €'), ('control: yen', (1234567, 'JPY'), '¥1,234,567'),
  ('control: franc', (12345678, 'CHF'), "CHF 123'456.78")]]
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 fixtureActualExpectedOutcome
regression negative-divmod 1-$2.50-$1.50Failed
regression negative-divmod 2-1,50 €-0,50 €Failed
partial repair guard 2-KD 1.950-KD 0.050Failed
control: dollars$1,234.50$1,234.50Passed
control: yen¥1,234,567¥1,234,567Passed
control: francCHF 123'456.78CHF 123'456.78Passed
control: dinarKD 1.005KD 1.005Passed

SHA-256 / 9ba5a6f818121399872685883dace094987df1acf77c4e16fb5a281f8ceec74f

2 / The unsuccessful fix

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(minor, ccy):
    spec = {'USD': ('$', '', ',', '.', 2), 'EUR': ('', ' €', '.', ',', 2), 'JPY': ('¥', '', ',', '.', 0), 'CHF': ('CHF ', '', "'", '.', 2), 'KWD': ('KD ', '', ',', '.', 3)}
    if ccy not in spec: return 'ERR:currency'
    pre, suf, grp, dec, e = spec[ccy]
    major, frac = int(minor / 10 ** e), abs(minor) % 10 ** e
    neg = major < 0
    digits = str(abs(major))
    groups = []
    while len(digits) > 3:
        groups.insert(0, digits[-3:])
        digits = digits[:-3]
    groups.insert(0, digits)
    body = grp.join(groups)
    if e: body += dec + str(frac).zfill(e)
    return ('-' if neg else '') + pre + body + suf
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('regression negative-divmod 1', (-150, 'USD'), '-$1.50'), ('regression negative-divmod 2', (-50, 'EUR'), '-0,50 €'),
  ('partial repair guard 2', (-50, 'KWD'), '-KD 0.050'), ('control: dollars', (123450, 'USD'), '$1,234.50'),
  ('control: yen', (1234567, 'JPY'), '¥1,234,567'), ('control: franc', (12345678, 'CHF'), "CHF 123'456.78"),
  ('control: dinar', (1005, 'KWD'), 'KD 1.005')],
 [('regression negative-divmod 1', (-50, 'KWD'), '-KD 0.050'),
  ('regression negative-divmod 2', (-105, 'KWD'), '-KD 0.105'), ('partial repair guard 2', (-50, 'CHF'), '-CHF 0.50'),
  ('control: yen', (1234567, 'JPY'), '¥1,234,567'), ('control: franc', (12345678, 'CHF'), "CHF 123'456.78"),
  ('control: dinar', (1005, 'KWD'), 'KD 1.005'), ('control: unknown', (5, 'GBP'), 'ERR:currency')],
 [('regression negative-divmod 1', (-123456, 'EUR'), '-1.234,56 €'),
  ('regression negative-divmod 2', (-987654321, 'USD'), '-$9,876,543.21'),
  ('partial repair guard 1', (-5, 'CHF'), '-CHF 0.05'), ('partial repair guard 2', (-5, 'USD'), '-$0.05'),
  ('control: unknown', (5, 'GBP'), 'ERR:currency'), ('control: million euros', (100000000, 'EUR'), '1.000.000,00 €'),
  ('control: zero yen', (0, 'JPY'), '¥0'), ('control: small dollars', (105, 'USD'), '$1.05')],
 [('regression negative-divmod 1', (-99999, 'KWD'), '-KD 99.999'),
  ('regression negative-divmod 2', (-99999, 'USD'), '-$999.99'), ('partial repair guard 1', (-5, 'KWD'), '-KD 0.005'),
  ('partial repair guard 2', (-999, 'KWD'), '-KD 0.999'), ('control: small dollars', (105, 'USD'), '$1.05'),
  ('control: negative yen', (-1000, 'JPY'), '-¥1,000'), ('control: dollars', (123450, 'USD'), '$1,234.50'),
  ('control: negative dollars', (-150, 'USD'), '-$1.50')],
 [('regression negative-divmod 1', (-50, 'CHF'), '-CHF 0.50'),
  ('regression negative-divmod 2', (-105, 'EUR'), '-1,05 €'), ('partial repair guard 1', (-50, 'USD'), '-$0.50'),
  ('partial repair guard 2', (-5, 'EUR'), '-0,05 €'), ('control: negative dollars', (-150, 'USD'), '-$1.50'),
  ('control: negative euro cents', (-50, 'EUR'), '-0,50 €'), ('control: yen', (1234567, 'JPY'), '¥1,234,567'),
  ('control: franc', (12345678, 'CHF'), "CHF 123'456.78")]]
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 fixtureActualExpectedOutcome
regression negative-divmod 1-$1.50-$1.50Passed
regression negative-divmod 20,50 €-0,50 €Failed
partial repair guard 2KD 0.050-KD 0.050Failed
control: dollars$1,234.50$1,234.50Passed
control: yen¥1,234,567¥1,234,567Passed
control: francCHF 123'456.78CHF 123'456.78Passed
control: dinarKD 1.005KD 1.005Passed

SHA-256 / e29ff863a1c150f56fbb26a2e12368c13eeadb03818689efd629f74de02d73c3

3 / The verified repair

Exit 0
"""Failure Map reference implementation. Python standard library only."""
import json

N = 1
observations = []
def solve(minor, ccy):
    spec = {'USD': ('$', '', ',', '.', 2), 'EUR': ('', ' €', '.', ',', 2), 'JPY': ('¥', '', ',', '.', 0), 'CHF': ('CHF ', '', "'", '.', 2), 'KWD': ('KD ', '', ',', '.', 3)}
    if ccy not in spec: return 'ERR:currency'
    pre, suf, grp, dec, e = spec[ccy]
    neg = minor < 0
    major, frac = divmod(abs(minor), 10 ** e)
    digits = str(major)
    groups = []
    while len(digits) > 3:
        groups.insert(0, digits[-3:])
        digits = digits[:-3]
    groups.insert(0, digits)
    body = grp.join(groups)
    if e: body += dec + str(frac).zfill(e)
    return ('-' if neg else '') + pre + body + suf
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('regression negative-divmod 1', (-150, 'USD'), '-$1.50'), ('regression negative-divmod 2', (-50, 'EUR'), '-0,50 €'),
  ('partial repair guard 2', (-50, 'KWD'), '-KD 0.050'), ('control: dollars', (123450, 'USD'), '$1,234.50'),
  ('control: yen', (1234567, 'JPY'), '¥1,234,567'), ('control: franc', (12345678, 'CHF'), "CHF 123'456.78"),
  ('control: dinar', (1005, 'KWD'), 'KD 1.005')],
 [('regression negative-divmod 1', (-50, 'KWD'), '-KD 0.050'),
  ('regression negative-divmod 2', (-105, 'KWD'), '-KD 0.105'), ('partial repair guard 2', (-50, 'CHF'), '-CHF 0.50'),
  ('control: yen', (1234567, 'JPY'), '¥1,234,567'), ('control: franc', (12345678, 'CHF'), "CHF 123'456.78"),
  ('control: dinar', (1005, 'KWD'), 'KD 1.005'), ('control: unknown', (5, 'GBP'), 'ERR:currency')],
 [('regression negative-divmod 1', (-123456, 'EUR'), '-1.234,56 €'),
  ('regression negative-divmod 2', (-987654321, 'USD'), '-$9,876,543.21'),
  ('partial repair guard 1', (-5, 'CHF'), '-CHF 0.05'), ('partial repair guard 2', (-5, 'USD'), '-$0.05'),
  ('control: unknown', (5, 'GBP'), 'ERR:currency'), ('control: million euros', (100000000, 'EUR'), '1.000.000,00 €'),
  ('control: zero yen', (0, 'JPY'), '¥0'), ('control: small dollars', (105, 'USD'), '$1.05')],
 [('regression negative-divmod 1', (-99999, 'KWD'), '-KD 99.999'),
  ('regression negative-divmod 2', (-99999, 'USD'), '-$999.99'), ('partial repair guard 1', (-5, 'KWD'), '-KD 0.005'),
  ('partial repair guard 2', (-999, 'KWD'), '-KD 0.999'), ('control: small dollars', (105, 'USD'), '$1.05'),
  ('control: negative yen', (-1000, 'JPY'), '-¥1,000'), ('control: dollars', (123450, 'USD'), '$1,234.50'),
  ('control: negative dollars', (-150, 'USD'), '-$1.50')],
 [('regression negative-divmod 1', (-50, 'CHF'), '-CHF 0.50'),
  ('regression negative-divmod 2', (-105, 'EUR'), '-1,05 €'), ('partial repair guard 1', (-50, 'USD'), '-$0.50'),
  ('partial repair guard 2', (-5, 'EUR'), '-0,05 €'), ('control: negative dollars', (-150, 'USD'), '-$1.50'),
  ('control: negative euro cents', (-50, 'EUR'), '-0,50 €'), ('control: yen', (1234567, 'JPY'), '¥1,234,567'),
  ('control: franc', (12345678, 'CHF'), "CHF 123'456.78")]]
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 fixtureActualExpectedOutcome
regression negative-divmod 1-$1.50-$1.50Passed
regression negative-divmod 2-0,50 €-0,50 €Passed
partial repair guard 2-KD 0.050-KD 0.050Passed
control: dollars$1,234.50$1,234.50Passed
control: yen¥1,234,567¥1,234,567Passed
control: francCHF 123'456.78CHF 123'456.78Passed
control: dinarKD 1.005KD 1.005Passed

SHA-256 / a51cbb174f08cfa32824a916e75511ce1401ae502336e5bcf2361411cca1f876

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 2026-09-29T14:47:01.782433+00:00.

Case digest / 2a9ece40a7d7f517f81b218e7c8726d942a8bf923510172123df7879a89e2d86