FA-60841 / Bond day-count conventions / Open access
30/360 US bond basis: end day 31 is clamped regardless of the start day · case 01
Periods ending on the 31st lose a day even when the start day is early in the month.
ROOT CAUSE
The D2 adjustment ignores the requirement that the adjusted D1 is already 30 or 31.
VERIFIED REPAIR
Clamp D2=31 to 30 only when the adjusted D1 is 30 or more.
Unsuccessful approach: Requiring D1 to be exactly 31 misses starts on the 30th and February-end starts promoted to 30.
Case contract
Inputs are two [year, month, day] dates. Apply, in order: if both dates are the last day of February, D2 becomes 30; if D1 is the last day of February, D1 becomes 30; if D2 is 31 and (adjusted) D1 is 30 or 31, D2 becomes 30; if D1 is 31, D1 becomes 30. Return 360*(Y2-Y1)+30*(M2-M1)+(D2-D1) as an integer day count.
Why this case matters
Bond accrual and pricing systems depend on exact day-count arithmetic; a single-day error changes settlement cash.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(a, b):
y1, m1, d1 = a
y2, m2, d2 = b
def feb_end(y, m, d):
leap = (y % 4 == 0 and y % 100 != 0) or y % 400 == 0
return m == 2 and d == (29 if leap else 28)
e1 = feb_end(y1, m1, d1)
e2 = feb_end(y2, m2, d2)
if e1 and e2:
d2 = 30
if e1:
d1 = 30
if d2 == 31:
d2 = 30
if d1 == 31:
d1 = 30
return 360 * (y2 - y1) + 30 * (m2 - m1) + (d2 - d1)
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['regression d2 thirty-one condition 1', [[2003, 3, 4], [2004, 7, 31]], 507], ['regression d2 thirty-one condition 2', [[2054, 5, 29], [2055, 7, 31]], 422], ['partial repair probe 1', [[2065, 12, 30], [2067, 5, 31]], 510], ['partial repair probe 2', [[2004, 2, 29], [2004, 1, 31]], -30], ['boundary control 1', [[2023, 1, 31], [2023, 3, 31]], 60], ['boundary control 2', [[2024, 2, 29], [2025, 2, 28]], 360], ['normal control 1', [[2015, 9, 30], [2015, 11, 1]], 31], ['normal control 2', [[2016, 2, 28], [2016, 6, 23]], 115]], [['regression d2 thirty-one condition 1', [[2010, 12, 29], [2011, 12, 31]], 362], ['regression d2 thirty-one condition 2', [[2016, 2, 28], [2017, 3, 31]], 393], ['partial repair probe 1', [[2082, 11, 30], [2084, 3, 31]], 480], ['partial repair probe 2', [[2004, 2, 29], [2005, 5, 31]], 450], ['boundary control 1', [[2024, 3, 15], [2024, 9, 15]], 180], ['boundary control 2', [[2024, 1, 1], [2024, 1, 1]], 0], ['normal control 1', [[2001, 11, 21], [2003, 11, 23]], 722], ['normal control 2', [[2032, 7, 29], [2033, 2, 28]], 209]], [['regression d2 thirty-one condition 1', [[2077, 11, 25], [2077, 12, 31]], 36], ['regression d2 thirty-one condition 2', [[2030, 1, 14], [2033, 7, 31]], 1277], ['partial repair probe 1', [[2074, 1, 30], [2077, 12, 31]], 1410], ['partial repair probe 2', [[2047, 6, 30], [2050, 1, 31]], 930], ['boundary control 1', [[2023, 1, 31], [2023, 3, 31]], 60], ['boundary control 2', [[2024, 3, 15], [2024, 9, 15]], 180], ['normal control 1', [[2007, 3, 31], [2009, 2, 28]], 688], ['normal control 2', [[2065, 5, 31], [2068, 7, 31]], 1140]], [['regression d2 thirty-one condition 1', [[2065, 12, 23], [2069, 1, 31]], 1118], ['regression d2 thirty-one condition 2', [[2058, 1, 18], [2060, 1, 31]], 733], ['partial repair probe 1', [[2016, 2, 29], [2018, 12, 31]], 1020], ['partial repair probe 2', [[2096, 2, 29], [2097, 12, 31]], 660], ['boundary control 1', [[2024, 2, 29], [2025, 2, 28]], 360], ['boundary control 2', [[2024, 3, 15], [2024, 9, 15]], 180], ['normal control 1', [[1999, 12, 31], [1999, 3, 31]], -270], ['normal control 2', [[2066, 7, 31], [2069, 12, 30]], 1230]], [['regression d2 thirty-one condition 1', [[2080, 3, 21], [2080, 10, 31]], 220], ['regression d2 thirty-one condition 2', [[2038, 8, 15], [2039, 10, 31]], 436], ['partial repair probe 1', [[2030, 11, 30], [2033, 8, 31]], 990], ['partial repair probe 2', [[2051, 9, 30], [2053, 5, 31]], 600], ['boundary control 1', [[2023, 1, 31], [2023, 3, 31]], 60], ['boundary control 2', [[2024, 1, 1], [2024, 1, 1]], 0], ['normal control 1', [[2091, 11, 20], [2092, 2, 29]], 99], ['normal control 2', [[2000, 2, 28], [2002, 2, 9]], 701]]]
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 fixture | Actual | Expected | Outcome |
|---|---|---|---|
| regression d2 thirty-one condition 1 | 506 | 507 | Failed |
| regression d2 thirty-one condition 2 | 421 | 422 | Failed |
| partial repair probe 1 | 510 | 510 | Passed |
| partial repair probe 2 | -30 | -30 | Passed |
| boundary control 1 | 60 | 60 | Passed |
| boundary control 2 | 360 | 360 | Passed |
| normal control 1 | 31 | 31 | Passed |
| normal control 2 | 115 | 115 | Passed |
SHA-256 / 038c99700188bc86910da21fc772cd7d24fe3ffbe8cf3876ea2bf5f1e605aeac
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(a, b):
y1, m1, d1 = a
y2, m2, d2 = b
def feb_end(y, m, d):
leap = (y % 4 == 0 and y % 100 != 0) or y % 400 == 0
return m == 2 and d == (29 if leap else 28)
e1 = feb_end(y1, m1, d1)
e2 = feb_end(y2, m2, d2)
if e1 and e2:
d2 = 30
if e1:
d1 = 30
if d2 == 31 and d1 == 31:
d2 = 30
if d1 == 31:
d1 = 30
return 360 * (y2 - y1) + 30 * (m2 - m1) + (d2 - d1)
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['regression d2 thirty-one condition 1', [[2003, 3, 4], [2004, 7, 31]], 507], ['regression d2 thirty-one condition 2', [[2054, 5, 29], [2055, 7, 31]], 422], ['partial repair probe 1', [[2065, 12, 30], [2067, 5, 31]], 510], ['partial repair probe 2', [[2004, 2, 29], [2004, 1, 31]], -30], ['boundary control 1', [[2023, 1, 31], [2023, 3, 31]], 60], ['boundary control 2', [[2024, 2, 29], [2025, 2, 28]], 360], ['normal control 1', [[2015, 9, 30], [2015, 11, 1]], 31], ['normal control 2', [[2016, 2, 28], [2016, 6, 23]], 115]], [['regression d2 thirty-one condition 1', [[2010, 12, 29], [2011, 12, 31]], 362], ['regression d2 thirty-one condition 2', [[2016, 2, 28], [2017, 3, 31]], 393], ['partial repair probe 1', [[2082, 11, 30], [2084, 3, 31]], 480], ['partial repair probe 2', [[2004, 2, 29], [2005, 5, 31]], 450], ['boundary control 1', [[2024, 3, 15], [2024, 9, 15]], 180], ['boundary control 2', [[2024, 1, 1], [2024, 1, 1]], 0], ['normal control 1', [[2001, 11, 21], [2003, 11, 23]], 722], ['normal control 2', [[2032, 7, 29], [2033, 2, 28]], 209]], [['regression d2 thirty-one condition 1', [[2077, 11, 25], [2077, 12, 31]], 36], ['regression d2 thirty-one condition 2', [[2030, 1, 14], [2033, 7, 31]], 1277], ['partial repair probe 1', [[2074, 1, 30], [2077, 12, 31]], 1410], ['partial repair probe 2', [[2047, 6, 30], [2050, 1, 31]], 930], ['boundary control 1', [[2023, 1, 31], [2023, 3, 31]], 60], ['boundary control 2', [[2024, 3, 15], [2024, 9, 15]], 180], ['normal control 1', [[2007, 3, 31], [2009, 2, 28]], 688], ['normal control 2', [[2065, 5, 31], [2068, 7, 31]], 1140]], [['regression d2 thirty-one condition 1', [[2065, 12, 23], [2069, 1, 31]], 1118], ['regression d2 thirty-one condition 2', [[2058, 1, 18], [2060, 1, 31]], 733], ['partial repair probe 1', [[2016, 2, 29], [2018, 12, 31]], 1020], ['partial repair probe 2', [[2096, 2, 29], [2097, 12, 31]], 660], ['boundary control 1', [[2024, 2, 29], [2025, 2, 28]], 360], ['boundary control 2', [[2024, 3, 15], [2024, 9, 15]], 180], ['normal control 1', [[1999, 12, 31], [1999, 3, 31]], -270], ['normal control 2', [[2066, 7, 31], [2069, 12, 30]], 1230]], [['regression d2 thirty-one condition 1', [[2080, 3, 21], [2080, 10, 31]], 220], ['regression d2 thirty-one condition 2', [[2038, 8, 15], [2039, 10, 31]], 436], ['partial repair probe 1', [[2030, 11, 30], [2033, 8, 31]], 990], ['partial repair probe 2', [[2051, 9, 30], [2053, 5, 31]], 600], ['boundary control 1', [[2023, 1, 31], [2023, 3, 31]], 60], ['boundary control 2', [[2024, 1, 1], [2024, 1, 1]], 0], ['normal control 1', [[2091, 11, 20], [2092, 2, 29]], 99], ['normal control 2', [[2000, 2, 28], [2002, 2, 9]], 701]]]
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 fixture | Actual | Expected | Outcome |
|---|---|---|---|
| regression d2 thirty-one condition 1 | 507 | 507 | Passed |
| regression d2 thirty-one condition 2 | 422 | 422 | Passed |
| partial repair probe 1 | 511 | 510 | Failed |
| partial repair probe 2 | -29 | -30 | Failed |
| boundary control 1 | 60 | 60 | Passed |
| boundary control 2 | 360 | 360 | Passed |
| normal control 1 | 31 | 31 | Passed |
| normal control 2 | 115 | 115 | Passed |
SHA-256 / 682399de404af764cbe5ce54bc10b656f50a133180755fbc73d3388b3610c735
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
N = 1
observations = []
def solve(a, b):
y1, m1, d1 = a
y2, m2, d2 = b
def feb_end(y, m, d):
leap = (y % 4 == 0 and y % 100 != 0) or y % 400 == 0
return m == 2 and d == (29 if leap else 28)
e1 = feb_end(y1, m1, d1)
e2 = feb_end(y2, m2, d2)
if e1 and e2:
d2 = 30
if e1:
d1 = 30
if d2 == 31 and d1 >= 30:
d2 = 30
if d1 == 31:
d1 = 30
return 360 * (y2 - y1) + 30 * (m2 - m1) + (d2 - d1)
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['regression d2 thirty-one condition 1', [[2003, 3, 4], [2004, 7, 31]], 507], ['regression d2 thirty-one condition 2', [[2054, 5, 29], [2055, 7, 31]], 422], ['partial repair probe 1', [[2065, 12, 30], [2067, 5, 31]], 510], ['partial repair probe 2', [[2004, 2, 29], [2004, 1, 31]], -30], ['boundary control 1', [[2023, 1, 31], [2023, 3, 31]], 60], ['boundary control 2', [[2024, 2, 29], [2025, 2, 28]], 360], ['normal control 1', [[2015, 9, 30], [2015, 11, 1]], 31], ['normal control 2', [[2016, 2, 28], [2016, 6, 23]], 115]], [['regression d2 thirty-one condition 1', [[2010, 12, 29], [2011, 12, 31]], 362], ['regression d2 thirty-one condition 2', [[2016, 2, 28], [2017, 3, 31]], 393], ['partial repair probe 1', [[2082, 11, 30], [2084, 3, 31]], 480], ['partial repair probe 2', [[2004, 2, 29], [2005, 5, 31]], 450], ['boundary control 1', [[2024, 3, 15], [2024, 9, 15]], 180], ['boundary control 2', [[2024, 1, 1], [2024, 1, 1]], 0], ['normal control 1', [[2001, 11, 21], [2003, 11, 23]], 722], ['normal control 2', [[2032, 7, 29], [2033, 2, 28]], 209]], [['regression d2 thirty-one condition 1', [[2077, 11, 25], [2077, 12, 31]], 36], ['regression d2 thirty-one condition 2', [[2030, 1, 14], [2033, 7, 31]], 1277], ['partial repair probe 1', [[2074, 1, 30], [2077, 12, 31]], 1410], ['partial repair probe 2', [[2047, 6, 30], [2050, 1, 31]], 930], ['boundary control 1', [[2023, 1, 31], [2023, 3, 31]], 60], ['boundary control 2', [[2024, 3, 15], [2024, 9, 15]], 180], ['normal control 1', [[2007, 3, 31], [2009, 2, 28]], 688], ['normal control 2', [[2065, 5, 31], [2068, 7, 31]], 1140]], [['regression d2 thirty-one condition 1', [[2065, 12, 23], [2069, 1, 31]], 1118], ['regression d2 thirty-one condition 2', [[2058, 1, 18], [2060, 1, 31]], 733], ['partial repair probe 1', [[2016, 2, 29], [2018, 12, 31]], 1020], ['partial repair probe 2', [[2096, 2, 29], [2097, 12, 31]], 660], ['boundary control 1', [[2024, 2, 29], [2025, 2, 28]], 360], ['boundary control 2', [[2024, 3, 15], [2024, 9, 15]], 180], ['normal control 1', [[1999, 12, 31], [1999, 3, 31]], -270], ['normal control 2', [[2066, 7, 31], [2069, 12, 30]], 1230]], [['regression d2 thirty-one condition 1', [[2080, 3, 21], [2080, 10, 31]], 220], ['regression d2 thirty-one condition 2', [[2038, 8, 15], [2039, 10, 31]], 436], ['partial repair probe 1', [[2030, 11, 30], [2033, 8, 31]], 990], ['partial repair probe 2', [[2051, 9, 30], [2053, 5, 31]], 600], ['boundary control 1', [[2023, 1, 31], [2023, 3, 31]], 60], ['boundary control 2', [[2024, 1, 1], [2024, 1, 1]], 0], ['normal control 1', [[2091, 11, 20], [2092, 2, 29]], 99], ['normal control 2', [[2000, 2, 28], [2002, 2, 9]], 701]]]
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 fixture | Actual | Expected | Outcome |
|---|---|---|---|
| regression d2 thirty-one condition 1 | 507 | 507 | Passed |
| regression d2 thirty-one condition 2 | 422 | 422 | Passed |
| partial repair probe 1 | 510 | 510 | Passed |
| partial repair probe 2 | -30 | -30 | Passed |
| boundary control 1 | 60 | 60 | Passed |
| boundary control 2 | 360 | 360 | Passed |
| normal control 1 | 31 | 31 | Passed |
| normal control 2 | 115 | 115 | Passed |
SHA-256 / e4cd8e2503f5ba540372c8d6ce8b355c4df922ba26749651146e0cfe7032c3db
Verification & scope
A deterministic toy contract stated explicitly in the contract field; no claim of conformance to any published convention text. 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 2026-09-29T14:46:49.333181+00:00.
Case digest / da02453ca76cb9b9ddd8b55274166d66836219b84f0ffd82c743ab8971705f09