FA-62211 / Currency rounding and FX conversion / Open access
The day reset clears the running total but keeps the previous floor · case 01
The first posting of a new day is reduced by the previous day's accumulated floor.
ROOT CAUSE
On a day change cum is reset but prev_floor keeps the old day's value.
VERIFIED REPAIR
Reset prev_floor to zero together with the cumulative total.
Unsuccessful approach: Carrying the fractional remainder into the new day contradicts the daily-reset contract.
Case contract
solve(items, rate): items are [day, amount] with integer source minor units (reversals negative) in posting order; rate is target minor units per source minor unit. Within a day, each posting's converted amount is floor(cumulative_exact) - floor(previous cumulative_exact), so daily converted postings sum to floor of the day's exact converted total. The carry (cumulative total and previous floor) resets whenever the day changes. Return the list of integer converted postings.
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(items, rate):
out, cum, prev_floor, day = [], Decimal(0), 0, None
r = Decimal(rate)
for d, a in items:
if d != day:
day, cum = d, Decimal(0)
cum += Decimal(a) * r
f = int(cum.to_integral_value(rounding=ROUND_FLOOR))
out.append(f - prev_floor)
prev_floor = f
return out
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('regression previous-floor-reset 1', ([['d1', 7], ['d2', 1]], '0.5'), [3, 0]),
('regression previous-floor-reset 2', ([['2026-03-31', 3], ['2026-04-01', 3]], '0.35'), [1, 1]),
('partial repair guard 2', ([['d1', 1], ['d2', 1], ['d2', 1]], '0.6'), [0, 0, 1]),
('control: three micro postings', ([['d1', 1], ['d1', 1], ['d1', 1]], '0.4'), [0, 0, 1]),
('control: reversal', ([['d1', 5], ['d1', -3]], '0.5'), [2, -1]),
('control: single large', ([['2026-03-01', 12345]], '0.9215'), [11375]), ('control: empty', ([], '1.5'), [])],
[('regression previous-floor-reset 1',
([['2026-03-01', 186], ['2026-03-01', -5], ['2026-03-02', 8], ['2026-03-02', 154]], '0.3542'), [65, -1, 2, 55]),
('regression previous-floor-reset 2',
([['2026-03-01', 263], ['2026-03-01', 239], ['2026-03-01', 228], ['2026-03-01', -26], ['2026-03-02', 231]], '29.57'),
[7776, 7068, 6742, -769, 6830]),
('partial repair guard 1',
([['2026-03-01', -18], ['2026-03-01', 240], ['2026-03-02', -19], ['2026-03-02', 81], ['2026-03-02', 129],
['2026-03-02', 231]],
'0.2472'),
[-5, 59, -5, 20, 32, 57]),
('partial repair guard 2',
([['2026-03-02', 92], ['2026-03-03', 36], ['2026-03-03', -15], ['2026-04-01', 46], ['2026-04-01', 50],
['2026-04-01', 95]],
'4.346'),
[399, 156, -65, 199, 218, 413]),
('control: single large', ([['2026-03-01', 12345]], '0.9215'), [11375]),
('control: month change', ([['2026-03-31', 3], ['2026-04-01', 3]], '0.35'), [1, 1]),
('control: empty', ([], '1.5'), []),
('control: negative first', ([['d1', -1], ['d1', -1], ['d1', 2]], '0.3'), [-1, 0, 1])],
[('regression previous-floor-reset 1',
([['2026-03-01', -18], ['2026-03-01', 240], ['2026-03-02', -19], ['2026-03-02', 81], ['2026-03-02', 129],
['2026-03-02', 231]],
'0.2472'),
[-5, 59, -5, 20, 32, 57]),
('regression previous-floor-reset 2', ([['2026-03-02', 294], ['2026-03-03', 199]], '0.0860'), [25, 17]),
('partial repair guard 1',
([['2026-03-02', 62], ['2026-03-02', 120], ['2026-03-03', 27], ['2026-03-03', 189]], '0.4750'), [29, 57, 12, 90]),
('partial repair guard 2',
([['2026-03-01', -26], ['2026-03-01', 4], ['2026-03-01', -3], ['2026-03-02', 57], ['2026-03-02', 131]], '5.53'),
[-144, 22, -17, 315, 724]),
('control: negative first', ([['d1', -1], ['d1', -1], ['d1', 2]], '0.3'), [-1, 0, 1]),
('control: three micro postings', ([['d1', 1], ['d1', 1], ['d1', 1]], '0.4'), [0, 0, 1]),
('control: day reset', ([['d1', 1], ['d2', 1], ['d2', 1]], '0.6'), [0, 0, 1]),
('control: reversal', ([['d1', 5], ['d1', -3]], '0.5'), [2, -1])],
[('regression previous-floor-reset 1',
([['2026-03-02', 92], ['2026-03-03', 36], ['2026-03-03', -15], ['2026-04-01', 46], ['2026-04-01', 50],
['2026-04-01', 95]],
'4.346'),
[399, 156, -65, 199, 218, 413]),
('regression previous-floor-reset 2',
([['2026-03-02', 62], ['2026-03-02', 120], ['2026-03-03', 27], ['2026-03-03', 189]], '0.4750'), [29, 57, 12, 90]),
('partial repair guard 1',
([['2026-03-01', 59], ['2026-03-02', 159], ['2026-03-02', 71], ['2026-03-03', 89]], '26.15'),
[1542, 4157, 1857, 2327]),
('partial repair guard 2', ([['2026-03-01', -26], ['2026-03-02', 215]], '27.52'), [-716, 5916]),
('control: reversal', ([['d1', 5], ['d1', -3]], '0.5'), [2, -1]),
('control: single large', ([['2026-03-01', 12345]], '0.9215'), [11375]),
('control: month change', ([['2026-03-31', 3], ['2026-04-01', 3]], '0.35'), [1, 1]),
('control: empty', ([], '1.5'), [])],
[('regression previous-floor-reset 1',
([['2026-03-01', -26], ['2026-03-01', 4], ['2026-03-01', -3], ['2026-03-02', 57], ['2026-03-02', 131]], '5.53'),
[-144, 22, -17, 315, 724]),
('regression previous-floor-reset 2', ([['2026-03-01', 197], ['2026-03-02', 286], ['2026-03-02', 74]], '29.61'),
[5833, 8468, 2191]),
('partial repair guard 1',
([['2026-03-02', 39], ['2026-03-02', 262], ['2026-03-02', -11], ['2026-03-03', 235], ['2026-03-03', -7],
['2026-03-03', 97]],
'4.821'),
[188, 1263, -53, 1132, -33, 467]),
('partial repair guard 2',
([['2026-03-01', 42], ['2026-03-02', 162], ['2026-03-02', 1], ['2026-03-02', 28], ['2026-03-03', 127],
['2026-03-03', -4]],
'0.0325'),
[1, 5, 0, 1, 4, -1]),
('control: empty', ([], '1.5'), []),
('control: negative first', ([['d1', -1], ['d1', -1], ['d1', 2]], '0.3'), [-1, 0, 1]),
('control: three micro postings', ([['d1', 1], ['d1', 1], ['d1', 1]], '0.4'), [0, 0, 1]),
('control: day reset', ([['d1', 1], ['d2', 1], ['d2', 1]], '0.6'), [0, 0, 1])]]
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 previous-floor-reset 1 | [3, -3] | [3, 0] | Failed |
| regression previous-floor-reset 2 | [1, 0] | [1, 1] | Failed |
| partial repair guard 2 | [0, 0, 1] | [0, 0, 1] | Passed |
| control: three micro postings | [0, 0, 1] | [0, 0, 1] | Passed |
| control: reversal | [2, -1] | [2, -1] | Passed |
| control: single large | [11375] | [11375] | Passed |
| control: empty | [] | [] | Passed |
SHA-256 / cdac0b068656c9d4af30d7535889b4df845c841e03c0b15144b49f41d6859d70
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(items, rate):
out, cum, prev_floor, day = [], Decimal(0), 0, None
r = Decimal(rate)
for d, a in items:
if d != day:
day, cum, prev_floor = d, cum - prev_floor, 0
cum += Decimal(a) * r
f = int(cum.to_integral_value(rounding=ROUND_FLOOR))
out.append(f - prev_floor)
prev_floor = f
return out
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('regression previous-floor-reset 1', ([['d1', 7], ['d2', 1]], '0.5'), [3, 0]),
('regression previous-floor-reset 2', ([['2026-03-31', 3], ['2026-04-01', 3]], '0.35'), [1, 1]),
('partial repair guard 2', ([['d1', 1], ['d2', 1], ['d2', 1]], '0.6'), [0, 0, 1]),
('control: three micro postings', ([['d1', 1], ['d1', 1], ['d1', 1]], '0.4'), [0, 0, 1]),
('control: reversal', ([['d1', 5], ['d1', -3]], '0.5'), [2, -1]),
('control: single large', ([['2026-03-01', 12345]], '0.9215'), [11375]), ('control: empty', ([], '1.5'), [])],
[('regression previous-floor-reset 1',
([['2026-03-01', 186], ['2026-03-01', -5], ['2026-03-02', 8], ['2026-03-02', 154]], '0.3542'), [65, -1, 2, 55]),
('regression previous-floor-reset 2',
([['2026-03-01', 263], ['2026-03-01', 239], ['2026-03-01', 228], ['2026-03-01', -26], ['2026-03-02', 231]], '29.57'),
[7776, 7068, 6742, -769, 6830]),
('partial repair guard 1',
([['2026-03-01', -18], ['2026-03-01', 240], ['2026-03-02', -19], ['2026-03-02', 81], ['2026-03-02', 129],
['2026-03-02', 231]],
'0.2472'),
[-5, 59, -5, 20, 32, 57]),
('partial repair guard 2',
([['2026-03-02', 92], ['2026-03-03', 36], ['2026-03-03', -15], ['2026-04-01', 46], ['2026-04-01', 50],
['2026-04-01', 95]],
'4.346'),
[399, 156, -65, 199, 218, 413]),
('control: single large', ([['2026-03-01', 12345]], '0.9215'), [11375]),
('control: month change', ([['2026-03-31', 3], ['2026-04-01', 3]], '0.35'), [1, 1]),
('control: empty', ([], '1.5'), []),
('control: negative first', ([['d1', -1], ['d1', -1], ['d1', 2]], '0.3'), [-1, 0, 1])],
[('regression previous-floor-reset 1',
([['2026-03-01', -18], ['2026-03-01', 240], ['2026-03-02', -19], ['2026-03-02', 81], ['2026-03-02', 129],
['2026-03-02', 231]],
'0.2472'),
[-5, 59, -5, 20, 32, 57]),
('regression previous-floor-reset 2', ([['2026-03-02', 294], ['2026-03-03', 199]], '0.0860'), [25, 17]),
('partial repair guard 1',
([['2026-03-02', 62], ['2026-03-02', 120], ['2026-03-03', 27], ['2026-03-03', 189]], '0.4750'), [29, 57, 12, 90]),
('partial repair guard 2',
([['2026-03-01', -26], ['2026-03-01', 4], ['2026-03-01', -3], ['2026-03-02', 57], ['2026-03-02', 131]], '5.53'),
[-144, 22, -17, 315, 724]),
('control: negative first', ([['d1', -1], ['d1', -1], ['d1', 2]], '0.3'), [-1, 0, 1]),
('control: three micro postings', ([['d1', 1], ['d1', 1], ['d1', 1]], '0.4'), [0, 0, 1]),
('control: day reset', ([['d1', 1], ['d2', 1], ['d2', 1]], '0.6'), [0, 0, 1]),
('control: reversal', ([['d1', 5], ['d1', -3]], '0.5'), [2, -1])],
[('regression previous-floor-reset 1',
([['2026-03-02', 92], ['2026-03-03', 36], ['2026-03-03', -15], ['2026-04-01', 46], ['2026-04-01', 50],
['2026-04-01', 95]],
'4.346'),
[399, 156, -65, 199, 218, 413]),
('regression previous-floor-reset 2',
([['2026-03-02', 62], ['2026-03-02', 120], ['2026-03-03', 27], ['2026-03-03', 189]], '0.4750'), [29, 57, 12, 90]),
('partial repair guard 1',
([['2026-03-01', 59], ['2026-03-02', 159], ['2026-03-02', 71], ['2026-03-03', 89]], '26.15'),
[1542, 4157, 1857, 2327]),
('partial repair guard 2', ([['2026-03-01', -26], ['2026-03-02', 215]], '27.52'), [-716, 5916]),
('control: reversal', ([['d1', 5], ['d1', -3]], '0.5'), [2, -1]),
('control: single large', ([['2026-03-01', 12345]], '0.9215'), [11375]),
('control: month change', ([['2026-03-31', 3], ['2026-04-01', 3]], '0.35'), [1, 1]),
('control: empty', ([], '1.5'), [])],
[('regression previous-floor-reset 1',
([['2026-03-01', -26], ['2026-03-01', 4], ['2026-03-01', -3], ['2026-03-02', 57], ['2026-03-02', 131]], '5.53'),
[-144, 22, -17, 315, 724]),
('regression previous-floor-reset 2', ([['2026-03-01', 197], ['2026-03-02', 286], ['2026-03-02', 74]], '29.61'),
[5833, 8468, 2191]),
('partial repair guard 1',
([['2026-03-02', 39], ['2026-03-02', 262], ['2026-03-02', -11], ['2026-03-03', 235], ['2026-03-03', -7],
['2026-03-03', 97]],
'4.821'),
[188, 1263, -53, 1132, -33, 467]),
('partial repair guard 2',
([['2026-03-01', 42], ['2026-03-02', 162], ['2026-03-02', 1], ['2026-03-02', 28], ['2026-03-03', 127],
['2026-03-03', -4]],
'0.0325'),
[1, 5, 0, 1, 4, -1]),
('control: empty', ([], '1.5'), []),
('control: negative first', ([['d1', -1], ['d1', -1], ['d1', 2]], '0.3'), [-1, 0, 1]),
('control: three micro postings', ([['d1', 1], ['d1', 1], ['d1', 1]], '0.4'), [0, 0, 1]),
('control: day reset', ([['d1', 1], ['d2', 1], ['d2', 1]], '0.6'), [0, 0, 1])]]
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 previous-floor-reset 1 | [3, 1] | [3, 0] | Failed |
| regression previous-floor-reset 2 | [1, 1] | [1, 1] | Passed |
| partial repair guard 2 | [0, 1, 0] | [0, 0, 1] | Failed |
| control: three micro postings | [0, 0, 1] | [0, 0, 1] | Passed |
| control: reversal | [2, -1] | [2, -1] | Passed |
| control: single large | [11375] | [11375] | Passed |
| control: empty | [] | [] | Passed |
SHA-256 / 254dbf2cd96b6db1a62ee47f524ade3eb5b63fc6d35395f8c6f03969667ded49
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(items, rate):
out, cum, prev_floor, day = [], Decimal(0), 0, None
r = Decimal(rate)
for d, a in items:
if d != day:
day, cum, prev_floor = d, Decimal(0), 0
cum += Decimal(a) * r
f = int(cum.to_integral_value(rounding=ROUND_FLOOR))
out.append(f - prev_floor)
prev_floor = f
return out
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('regression previous-floor-reset 1', ([['d1', 7], ['d2', 1]], '0.5'), [3, 0]),
('regression previous-floor-reset 2', ([['2026-03-31', 3], ['2026-04-01', 3]], '0.35'), [1, 1]),
('partial repair guard 2', ([['d1', 1], ['d2', 1], ['d2', 1]], '0.6'), [0, 0, 1]),
('control: three micro postings', ([['d1', 1], ['d1', 1], ['d1', 1]], '0.4'), [0, 0, 1]),
('control: reversal', ([['d1', 5], ['d1', -3]], '0.5'), [2, -1]),
('control: single large', ([['2026-03-01', 12345]], '0.9215'), [11375]), ('control: empty', ([], '1.5'), [])],
[('regression previous-floor-reset 1',
([['2026-03-01', 186], ['2026-03-01', -5], ['2026-03-02', 8], ['2026-03-02', 154]], '0.3542'), [65, -1, 2, 55]),
('regression previous-floor-reset 2',
([['2026-03-01', 263], ['2026-03-01', 239], ['2026-03-01', 228], ['2026-03-01', -26], ['2026-03-02', 231]], '29.57'),
[7776, 7068, 6742, -769, 6830]),
('partial repair guard 1',
([['2026-03-01', -18], ['2026-03-01', 240], ['2026-03-02', -19], ['2026-03-02', 81], ['2026-03-02', 129],
['2026-03-02', 231]],
'0.2472'),
[-5, 59, -5, 20, 32, 57]),
('partial repair guard 2',
([['2026-03-02', 92], ['2026-03-03', 36], ['2026-03-03', -15], ['2026-04-01', 46], ['2026-04-01', 50],
['2026-04-01', 95]],
'4.346'),
[399, 156, -65, 199, 218, 413]),
('control: single large', ([['2026-03-01', 12345]], '0.9215'), [11375]),
('control: month change', ([['2026-03-31', 3], ['2026-04-01', 3]], '0.35'), [1, 1]),
('control: empty', ([], '1.5'), []),
('control: negative first', ([['d1', -1], ['d1', -1], ['d1', 2]], '0.3'), [-1, 0, 1])],
[('regression previous-floor-reset 1',
([['2026-03-01', -18], ['2026-03-01', 240], ['2026-03-02', -19], ['2026-03-02', 81], ['2026-03-02', 129],
['2026-03-02', 231]],
'0.2472'),
[-5, 59, -5, 20, 32, 57]),
('regression previous-floor-reset 2', ([['2026-03-02', 294], ['2026-03-03', 199]], '0.0860'), [25, 17]),
('partial repair guard 1',
([['2026-03-02', 62], ['2026-03-02', 120], ['2026-03-03', 27], ['2026-03-03', 189]], '0.4750'), [29, 57, 12, 90]),
('partial repair guard 2',
([['2026-03-01', -26], ['2026-03-01', 4], ['2026-03-01', -3], ['2026-03-02', 57], ['2026-03-02', 131]], '5.53'),
[-144, 22, -17, 315, 724]),
('control: negative first', ([['d1', -1], ['d1', -1], ['d1', 2]], '0.3'), [-1, 0, 1]),
('control: three micro postings', ([['d1', 1], ['d1', 1], ['d1', 1]], '0.4'), [0, 0, 1]),
('control: day reset', ([['d1', 1], ['d2', 1], ['d2', 1]], '0.6'), [0, 0, 1]),
('control: reversal', ([['d1', 5], ['d1', -3]], '0.5'), [2, -1])],
[('regression previous-floor-reset 1',
([['2026-03-02', 92], ['2026-03-03', 36], ['2026-03-03', -15], ['2026-04-01', 46], ['2026-04-01', 50],
['2026-04-01', 95]],
'4.346'),
[399, 156, -65, 199, 218, 413]),
('regression previous-floor-reset 2',
([['2026-03-02', 62], ['2026-03-02', 120], ['2026-03-03', 27], ['2026-03-03', 189]], '0.4750'), [29, 57, 12, 90]),
('partial repair guard 1',
([['2026-03-01', 59], ['2026-03-02', 159], ['2026-03-02', 71], ['2026-03-03', 89]], '26.15'),
[1542, 4157, 1857, 2327]),
('partial repair guard 2', ([['2026-03-01', -26], ['2026-03-02', 215]], '27.52'), [-716, 5916]),
('control: reversal', ([['d1', 5], ['d1', -3]], '0.5'), [2, -1]),
('control: single large', ([['2026-03-01', 12345]], '0.9215'), [11375]),
('control: month change', ([['2026-03-31', 3], ['2026-04-01', 3]], '0.35'), [1, 1]),
('control: empty', ([], '1.5'), [])],
[('regression previous-floor-reset 1',
([['2026-03-01', -26], ['2026-03-01', 4], ['2026-03-01', -3], ['2026-03-02', 57], ['2026-03-02', 131]], '5.53'),
[-144, 22, -17, 315, 724]),
('regression previous-floor-reset 2', ([['2026-03-01', 197], ['2026-03-02', 286], ['2026-03-02', 74]], '29.61'),
[5833, 8468, 2191]),
('partial repair guard 1',
([['2026-03-02', 39], ['2026-03-02', 262], ['2026-03-02', -11], ['2026-03-03', 235], ['2026-03-03', -7],
['2026-03-03', 97]],
'4.821'),
[188, 1263, -53, 1132, -33, 467]),
('partial repair guard 2',
([['2026-03-01', 42], ['2026-03-02', 162], ['2026-03-02', 1], ['2026-03-02', 28], ['2026-03-03', 127],
['2026-03-03', -4]],
'0.0325'),
[1, 5, 0, 1, 4, -1]),
('control: empty', ([], '1.5'), []),
('control: negative first', ([['d1', -1], ['d1', -1], ['d1', 2]], '0.3'), [-1, 0, 1]),
('control: three micro postings', ([['d1', 1], ['d1', 1], ['d1', 1]], '0.4'), [0, 0, 1]),
('control: day reset', ([['d1', 1], ['d2', 1], ['d2', 1]], '0.6'), [0, 0, 1])]]
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 previous-floor-reset 1 | [3, 0] | [3, 0] | Passed |
| regression previous-floor-reset 2 | [1, 1] | [1, 1] | Passed |
| partial repair guard 2 | [0, 0, 1] | [0, 0, 1] | Passed |
| control: three micro postings | [0, 0, 1] | [0, 0, 1] | Passed |
| control: reversal | [2, -1] | [2, -1] | Passed |
| control: single large | [11375] | [11375] | Passed |
| control: empty | [] | [] | Passed |
SHA-256 / 5266517c8b2446a2c34141dd96e4837a232b69f18947ebf5f6a962e17b8f2f14
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 2026-09-29T14:47:02.461880+00:00.
Case digest / 01746861227996b29e9136570ec5031c06ee2bf022f7ce0781ebe9edf4cef219