FA-61976 / Currency rounding and FX conversion / Open access
A rate exactly at the maximum age is declared stale · case 01
A tick exactly max_age old is rejected.
ROOT CAUSE
The stale test uses >= max_age instead of > max_age.
VERIFIED REPAIR
Only ages strictly greater than max_age are stale.
Unsuccessful approach: Measuring age from the newest tick in the feed lets a future tick make an old rate look fresh.
Case contract
solve(ticks, trade_ts, max_age): ticks is the published rate feed [[ts, rate], ...] in publication order. Use the tick with the greatest ts <= trade_ts; among ticks with equal ts the later-published one is a correction and wins. No eligible tick returns 'ERR:no-rate'. If max_age is not None and trade_ts - ts > max_age the rate is 'ERR:stale' (max_age 0 accepts only a same-instant tick). Return [ts, rate].
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(ticks, trade_ts, max_age):
best = None
for ts, r in ticks:
if ts <= trade_ts and (best is None or ts >= best[0]):
best = [ts, r]
if best is None: return 'ERR:no-rate'
if max_age is not None and trade_ts - best[0] >= max_age: return 'ERR:stale'
return best
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('regression staleness-boundary 1', ([[4, '1.11'], [12, '1.50']], 8, 4), [4, '1.11']),
('regression staleness-boundary 2', ([[7, '1.40']], 7, 0), [7, '1.40']),
('partial repair guard 1', ([[1, '1.10'], [9, '1.30']], 7, 3), 'ERR:stale'),
('partial repair guard 2', ([[1, '1.0708'], [20, '1.0061'], [14, '1.0619'], [11, '1.2351']], 18, 2), 'ERR:stale'),
('control: correction wins', ([[1, '1.10'], [5, '1.20'], [5, '1.21'], [9, '1.30']], 7, 3), [5, '1.21']),
('control: only future', ([[9, '1.30']], 7, None), 'ERR:no-rate'),
('control: unlimited age', ([[0, '1.05']], 20, None), [0, '1.05']),
('control: empty feed', ([], 3, 5), 'ERR:no-rate')],
[('regression staleness-boundary 1',
([[16, '1.0577'], [3, '1.1605'], [9, '1.0153'], [16, '1.0347'], [5, '1.1882']], 4, 1), [3, '1.1605']),
('regression staleness-boundary 2', ([[10, '1.1254'], [1, '1.0516'], [3, '1.1640']], 2, 1), [1, '1.0516']),
('partial repair guard 1',
([[14, '1.1444'], [0, '1.1478'], [5, '1.1087'], [5, '1.1978'], [11, '1.2115'], [1, '1.2119']], 7, 0), 'ERR:stale'),
('partial repair guard 2', ([[1, '1.1610'], [10, '1.2604']], 3, 1), 'ERR:stale'),
('control: same instant zero age', ([[7, '1.40']], 7, 0), [7, '1.40']),
('control: unlimited age', ([[0, '1.05']], 20, None), [0, '1.05']),
('control: age boundary', ([[4, '1.11'], [12, '1.50']], 8, 4), [4, '1.11']),
('control: empty feed', ([], 3, 5), 'ERR:no-rate')],
[('regression staleness-boundary 1', ([[1, '1.2376'], [19, '1.2134'], [14, '1.2465']], 1, 0), [1, '1.2376']),
('regression staleness-boundary 2', ([[3, '1.2016'], [20, '1.0619'], [10, '1.1904'], [10, '1.1149']], 6, 3),
[3, '1.2016']),
('partial repair guard 1', ([[17, '1.2848'], [2, '1.1228']], 14, 2), 'ERR:stale'),
('partial repair guard 2', ([[10, '1.2328'], [1, '1.0928'], [3, '1.1922'], [19, '1.2521'], [19, '1.2864']], 2, 0),
'ERR:stale'),
('control: empty feed', ([], 3, 5), 'ERR:no-rate'),
('control: out of order feed', ([[6, '1.26'], [2, '1.22'], [6, '1.19']], 6, 1), [6, '1.19']),
('control: correction wins', ([[1, '1.10'], [5, '1.20'], [5, '1.21'], [9, '1.30']], 7, 3), [5, '1.21']),
('control: stale', ([[1, '1.10'], [9, '1.30']], 7, 3), 'ERR:stale')],
[('regression staleness-boundary 1', ([[4, '1.2845'], [1, '1.0456'], [3, '1.1500'], [14, '1.1676']], 17, 3),
[14, '1.1676']),
('regression staleness-boundary 2', ([[14, '1.2739'], [20, '1.2257'], [0, '1.2886']], 16, 2), [14, '1.2739']),
('partial repair guard 1', ([[6, '1.0581'], [9, '1.2011'], [16, '1.2956']], 12, 1), 'ERR:stale'),
('partial repair guard 2', ([[17, '1.1794'], [15, '1.0788'], [2, '1.2545']], 12, 0), 'ERR:stale'),
('control: stale', ([[1, '1.10'], [9, '1.30']], 7, 3), 'ERR:stale'),
('control: only future', ([[9, '1.30']], 7, None), 'ERR:no-rate'),
('control: same instant zero age', ([[7, '1.40']], 7, 0), [7, '1.40']),
('control: unlimited age', ([[0, '1.05']], 20, None), [0, '1.05'])],
[('regression staleness-boundary 1',
([[5, '1.0271'], [11, '1.2757'], [10, '1.0041'], [14, '1.1151'], [2, '1.2167']], 14, 0), [14, '1.1151']),
('regression staleness-boundary 2',
([[13, '1.1719'], [0, '1.0347'], [20, '1.2239'], [9, '1.1422'], [3, '1.0957']], 1, 1), [0, '1.0347']),
('partial repair guard 1',
([[1, '1.0230'], [14, '1.0591'], [3, '1.2010'], [13, '1.0135'], [3, '1.1001'], [13, '1.1421']], 12, 3),
'ERR:stale'),
('partial repair guard 2',
([[5, '1.0556'], [2, '1.2743'], [17, '1.2317'], [7, '1.0015'], [4, '1.2457'], [7, '1.1125']], 16, 5), 'ERR:stale'),
('control: unlimited age', ([[0, '1.05']], 20, None), [0, '1.05']),
('control: age boundary', ([[4, '1.11'], [12, '1.50']], 8, 4), [4, '1.11']),
('control: empty feed', ([], 3, 5), 'ERR:no-rate'),
('control: out of order feed', ([[6, '1.26'], [2, '1.22'], [6, '1.19']], 6, 1), [6, '1.19'])]]
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 staleness-boundary 1 | ERR:stale | [4, '1.11'] | Failed |
| regression staleness-boundary 2 | ERR:stale | [7, '1.40'] | Failed |
| partial repair guard 1 | ERR:stale | ERR:stale | Passed |
| partial repair guard 2 | ERR:stale | ERR:stale | Passed |
| control: correction wins | [5, '1.21'] | [5, '1.21'] | Passed |
| control: only future | ERR:no-rate | ERR:no-rate | Passed |
| control: unlimited age | [0, '1.05'] | [0, '1.05'] | Passed |
| control: empty feed | ERR:no-rate | ERR:no-rate | Passed |
SHA-256 / e687daf2bfab8082dce3bede1ebd9fe7e45ac67f42dba03a9ab61c11bb6629c0
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(ticks, trade_ts, max_age):
best = None
for ts, r in ticks:
if ts <= trade_ts and (best is None or ts >= best[0]):
best = [ts, r]
if best is None: return 'ERR:no-rate'
if max_age is not None and trade_ts - max(t for t, _ in ticks) > max_age: return 'ERR:stale'
return best
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('regression staleness-boundary 1', ([[4, '1.11'], [12, '1.50']], 8, 4), [4, '1.11']),
('regression staleness-boundary 2', ([[7, '1.40']], 7, 0), [7, '1.40']),
('partial repair guard 1', ([[1, '1.10'], [9, '1.30']], 7, 3), 'ERR:stale'),
('partial repair guard 2', ([[1, '1.0708'], [20, '1.0061'], [14, '1.0619'], [11, '1.2351']], 18, 2), 'ERR:stale'),
('control: correction wins', ([[1, '1.10'], [5, '1.20'], [5, '1.21'], [9, '1.30']], 7, 3), [5, '1.21']),
('control: only future', ([[9, '1.30']], 7, None), 'ERR:no-rate'),
('control: unlimited age', ([[0, '1.05']], 20, None), [0, '1.05']),
('control: empty feed', ([], 3, 5), 'ERR:no-rate')],
[('regression staleness-boundary 1',
([[16, '1.0577'], [3, '1.1605'], [9, '1.0153'], [16, '1.0347'], [5, '1.1882']], 4, 1), [3, '1.1605']),
('regression staleness-boundary 2', ([[10, '1.1254'], [1, '1.0516'], [3, '1.1640']], 2, 1), [1, '1.0516']),
('partial repair guard 1',
([[14, '1.1444'], [0, '1.1478'], [5, '1.1087'], [5, '1.1978'], [11, '1.2115'], [1, '1.2119']], 7, 0), 'ERR:stale'),
('partial repair guard 2', ([[1, '1.1610'], [10, '1.2604']], 3, 1), 'ERR:stale'),
('control: same instant zero age', ([[7, '1.40']], 7, 0), [7, '1.40']),
('control: unlimited age', ([[0, '1.05']], 20, None), [0, '1.05']),
('control: age boundary', ([[4, '1.11'], [12, '1.50']], 8, 4), [4, '1.11']),
('control: empty feed', ([], 3, 5), 'ERR:no-rate')],
[('regression staleness-boundary 1', ([[1, '1.2376'], [19, '1.2134'], [14, '1.2465']], 1, 0), [1, '1.2376']),
('regression staleness-boundary 2', ([[3, '1.2016'], [20, '1.0619'], [10, '1.1904'], [10, '1.1149']], 6, 3),
[3, '1.2016']),
('partial repair guard 1', ([[17, '1.2848'], [2, '1.1228']], 14, 2), 'ERR:stale'),
('partial repair guard 2', ([[10, '1.2328'], [1, '1.0928'], [3, '1.1922'], [19, '1.2521'], [19, '1.2864']], 2, 0),
'ERR:stale'),
('control: empty feed', ([], 3, 5), 'ERR:no-rate'),
('control: out of order feed', ([[6, '1.26'], [2, '1.22'], [6, '1.19']], 6, 1), [6, '1.19']),
('control: correction wins', ([[1, '1.10'], [5, '1.20'], [5, '1.21'], [9, '1.30']], 7, 3), [5, '1.21']),
('control: stale', ([[1, '1.10'], [9, '1.30']], 7, 3), 'ERR:stale')],
[('regression staleness-boundary 1', ([[4, '1.2845'], [1, '1.0456'], [3, '1.1500'], [14, '1.1676']], 17, 3),
[14, '1.1676']),
('regression staleness-boundary 2', ([[14, '1.2739'], [20, '1.2257'], [0, '1.2886']], 16, 2), [14, '1.2739']),
('partial repair guard 1', ([[6, '1.0581'], [9, '1.2011'], [16, '1.2956']], 12, 1), 'ERR:stale'),
('partial repair guard 2', ([[17, '1.1794'], [15, '1.0788'], [2, '1.2545']], 12, 0), 'ERR:stale'),
('control: stale', ([[1, '1.10'], [9, '1.30']], 7, 3), 'ERR:stale'),
('control: only future', ([[9, '1.30']], 7, None), 'ERR:no-rate'),
('control: same instant zero age', ([[7, '1.40']], 7, 0), [7, '1.40']),
('control: unlimited age', ([[0, '1.05']], 20, None), [0, '1.05'])],
[('regression staleness-boundary 1',
([[5, '1.0271'], [11, '1.2757'], [10, '1.0041'], [14, '1.1151'], [2, '1.2167']], 14, 0), [14, '1.1151']),
('regression staleness-boundary 2',
([[13, '1.1719'], [0, '1.0347'], [20, '1.2239'], [9, '1.1422'], [3, '1.0957']], 1, 1), [0, '1.0347']),
('partial repair guard 1',
([[1, '1.0230'], [14, '1.0591'], [3, '1.2010'], [13, '1.0135'], [3, '1.1001'], [13, '1.1421']], 12, 3),
'ERR:stale'),
('partial repair guard 2',
([[5, '1.0556'], [2, '1.2743'], [17, '1.2317'], [7, '1.0015'], [4, '1.2457'], [7, '1.1125']], 16, 5), 'ERR:stale'),
('control: unlimited age', ([[0, '1.05']], 20, None), [0, '1.05']),
('control: age boundary', ([[4, '1.11'], [12, '1.50']], 8, 4), [4, '1.11']),
('control: empty feed', ([], 3, 5), 'ERR:no-rate'),
('control: out of order feed', ([[6, '1.26'], [2, '1.22'], [6, '1.19']], 6, 1), [6, '1.19'])]]
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 staleness-boundary 1 | [4, '1.11'] | [4, '1.11'] | Passed |
| regression staleness-boundary 2 | [7, '1.40'] | [7, '1.40'] | Passed |
| partial repair guard 1 | [1, '1.10'] | ERR:stale | Failed |
| partial repair guard 2 | [14, '1.0619'] | ERR:stale | Failed |
| control: correction wins | [5, '1.21'] | [5, '1.21'] | Passed |
| control: only future | ERR:no-rate | ERR:no-rate | Passed |
| control: unlimited age | [0, '1.05'] | [0, '1.05'] | Passed |
| control: empty feed | ERR:no-rate | ERR:no-rate | Passed |
SHA-256 / a5e64390154a8fdc38e3e36a8ae676affbf9c69c5c6b67e39377ee7d3d51b74d
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(ticks, trade_ts, max_age):
best = None
for ts, r in ticks:
if ts <= trade_ts and (best is None or ts >= best[0]):
best = [ts, r]
if best is None: return 'ERR:no-rate'
if max_age is not None and trade_ts - best[0] > max_age: return 'ERR:stale'
return best
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
cases = [[('regression staleness-boundary 1', ([[4, '1.11'], [12, '1.50']], 8, 4), [4, '1.11']),
('regression staleness-boundary 2', ([[7, '1.40']], 7, 0), [7, '1.40']),
('partial repair guard 1', ([[1, '1.10'], [9, '1.30']], 7, 3), 'ERR:stale'),
('partial repair guard 2', ([[1, '1.0708'], [20, '1.0061'], [14, '1.0619'], [11, '1.2351']], 18, 2), 'ERR:stale'),
('control: correction wins', ([[1, '1.10'], [5, '1.20'], [5, '1.21'], [9, '1.30']], 7, 3), [5, '1.21']),
('control: only future', ([[9, '1.30']], 7, None), 'ERR:no-rate'),
('control: unlimited age', ([[0, '1.05']], 20, None), [0, '1.05']),
('control: empty feed', ([], 3, 5), 'ERR:no-rate')],
[('regression staleness-boundary 1',
([[16, '1.0577'], [3, '1.1605'], [9, '1.0153'], [16, '1.0347'], [5, '1.1882']], 4, 1), [3, '1.1605']),
('regression staleness-boundary 2', ([[10, '1.1254'], [1, '1.0516'], [3, '1.1640']], 2, 1), [1, '1.0516']),
('partial repair guard 1',
([[14, '1.1444'], [0, '1.1478'], [5, '1.1087'], [5, '1.1978'], [11, '1.2115'], [1, '1.2119']], 7, 0), 'ERR:stale'),
('partial repair guard 2', ([[1, '1.1610'], [10, '1.2604']], 3, 1), 'ERR:stale'),
('control: same instant zero age', ([[7, '1.40']], 7, 0), [7, '1.40']),
('control: unlimited age', ([[0, '1.05']], 20, None), [0, '1.05']),
('control: age boundary', ([[4, '1.11'], [12, '1.50']], 8, 4), [4, '1.11']),
('control: empty feed', ([], 3, 5), 'ERR:no-rate')],
[('regression staleness-boundary 1', ([[1, '1.2376'], [19, '1.2134'], [14, '1.2465']], 1, 0), [1, '1.2376']),
('regression staleness-boundary 2', ([[3, '1.2016'], [20, '1.0619'], [10, '1.1904'], [10, '1.1149']], 6, 3),
[3, '1.2016']),
('partial repair guard 1', ([[17, '1.2848'], [2, '1.1228']], 14, 2), 'ERR:stale'),
('partial repair guard 2', ([[10, '1.2328'], [1, '1.0928'], [3, '1.1922'], [19, '1.2521'], [19, '1.2864']], 2, 0),
'ERR:stale'),
('control: empty feed', ([], 3, 5), 'ERR:no-rate'),
('control: out of order feed', ([[6, '1.26'], [2, '1.22'], [6, '1.19']], 6, 1), [6, '1.19']),
('control: correction wins', ([[1, '1.10'], [5, '1.20'], [5, '1.21'], [9, '1.30']], 7, 3), [5, '1.21']),
('control: stale', ([[1, '1.10'], [9, '1.30']], 7, 3), 'ERR:stale')],
[('regression staleness-boundary 1', ([[4, '1.2845'], [1, '1.0456'], [3, '1.1500'], [14, '1.1676']], 17, 3),
[14, '1.1676']),
('regression staleness-boundary 2', ([[14, '1.2739'], [20, '1.2257'], [0, '1.2886']], 16, 2), [14, '1.2739']),
('partial repair guard 1', ([[6, '1.0581'], [9, '1.2011'], [16, '1.2956']], 12, 1), 'ERR:stale'),
('partial repair guard 2', ([[17, '1.1794'], [15, '1.0788'], [2, '1.2545']], 12, 0), 'ERR:stale'),
('control: stale', ([[1, '1.10'], [9, '1.30']], 7, 3), 'ERR:stale'),
('control: only future', ([[9, '1.30']], 7, None), 'ERR:no-rate'),
('control: same instant zero age', ([[7, '1.40']], 7, 0), [7, '1.40']),
('control: unlimited age', ([[0, '1.05']], 20, None), [0, '1.05'])],
[('regression staleness-boundary 1',
([[5, '1.0271'], [11, '1.2757'], [10, '1.0041'], [14, '1.1151'], [2, '1.2167']], 14, 0), [14, '1.1151']),
('regression staleness-boundary 2',
([[13, '1.1719'], [0, '1.0347'], [20, '1.2239'], [9, '1.1422'], [3, '1.0957']], 1, 1), [0, '1.0347']),
('partial repair guard 1',
([[1, '1.0230'], [14, '1.0591'], [3, '1.2010'], [13, '1.0135'], [3, '1.1001'], [13, '1.1421']], 12, 3),
'ERR:stale'),
('partial repair guard 2',
([[5, '1.0556'], [2, '1.2743'], [17, '1.2317'], [7, '1.0015'], [4, '1.2457'], [7, '1.1125']], 16, 5), 'ERR:stale'),
('control: unlimited age', ([[0, '1.05']], 20, None), [0, '1.05']),
('control: age boundary', ([[4, '1.11'], [12, '1.50']], 8, 4), [4, '1.11']),
('control: empty feed', ([], 3, 5), 'ERR:no-rate'),
('control: out of order feed', ([[6, '1.26'], [2, '1.22'], [6, '1.19']], 6, 1), [6, '1.19'])]]
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 staleness-boundary 1 | [4, '1.11'] | [4, '1.11'] | Passed |
| regression staleness-boundary 2 | [7, '1.40'] | [7, '1.40'] | Passed |
| partial repair guard 1 | ERR:stale | ERR:stale | Passed |
| partial repair guard 2 | ERR:stale | ERR:stale | Passed |
| control: correction wins | [5, '1.21'] | [5, '1.21'] | Passed |
| control: only future | ERR:no-rate | ERR:no-rate | Passed |
| control: unlimited age | [0, '1.05'] | [0, '1.05'] | Passed |
| control: empty feed | ERR:no-rate | ERR:no-rate | Passed |
SHA-256 / 59e6ffee62f75ee0245772caba46dab91e15d22d06d1f9d27176dbb421a347be
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 2026-09-29T14:47:00.340503+00:00.
Case digest / c3fa51f1d48caccd5071c70da4114c00d282669ff8874ea1a851521a71c5796d