FA-94051 / Shift rostering labor rules / Open access

Differential pay truncated to the cent · case 01

Shift pay that ends in half a cent or more loses a cent.

Verified by executionVariant 1 · 8 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

The exact total is floor-divided.

THE FAILURE

The exact total is floor-divided.

Unsuccessful approach: round() applies banker's rounding to exact half cents.

Case contract

Shift [start, end] in minutes from Monday 00:00 and a base rate in cents per hour. Each minute earns base * (100 + pct) / 6000 cents where pct is 10 for 15:00-23:00, 15 for 23:00-07:00, else 0; on Saturday and Sunday (days 5 and 6) pct is the larger of that value and 12 (differentials do not stack). The exact total is rounded half up to a cent once.

Why this case matters

Shift differential calculations are where roster data meets payroll; stacking and day attribution errors are common.

1 / The failure

Exit 1

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

N = 1
observations = []
def solve(shift, base):
    s, e = shift
    total = 0
    for t in range(s, e):
        day = (t // 1440) % 7
        m = t % 1440
        pct = 0
        if 900 <= m < 1380:
            pct = 10
        if m >= 1380 or m < 420:
            pct = 15
        if day >= 5:
            pct = max(pct, 12)
        total += base * (100 + pct)
    return total // 6000
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression: differential rounding 1', [[0, 1], 30], 1),
  ('regression variant: differential rounding 2', [[2880, 2940], 2150], 2473),
  ('partial repair guard 3', [[9600, 10320], 2150], 29219),
  ('boundary control 4', [[8580, 8700], 2000], 4600), ('boundary control 5', [[900, 960], 1800], 1980),
  ('normal control 6', [[3840, 4440], 2000], 22300), ('normal control 7', [[2061, 2541], 2000], 16670),
  ('normal control 8', [[7620, 7860], 90], 403)],
 [('regression: differential rounding 1', [[0, 3], 10], 1),
  ('regression variant: differential rounding 2', [[9960, 10020], 90], 101),
  ('partial repair guard 3', [[6720, 7200], 90], 797), ('boundary control 4', [[8580, 8700], 2000], 4600),
  ('normal control 5', [[7620, 8340], 2000], 26880), ('normal control 6', [[1800, 2280], 2000], 16300),
  ('normal control 7', [[8313, 8373], 60], 67), ('normal control 8', [[7620, 8220], 2000], 22400)],
 [('regression: differential rounding 1', [[480, 960], 1999], 16192),
  ('regression variant: differential rounding 2', [[7200, 7920], 90], 1229),
  ('partial repair guard 3', [[9540, 10224], 2150], 27671),
  ('boundary control 4', [[6600, 7260], 2000], 24200), ('boundary control 5', [[0, 3], 10], 1),
  ('normal control 6', [[4561, 4804], 60], 270), ('normal control 7', [[4200, 4680], 60], 549),
  ('normal control 8', [[3780, 4380], 2000], 22200)],
 [('regression: differential rounding 1', [[6720, 7320], 1999], 22289),
  ('regression variant: differential rounding 2', [[9600, 10320], 2150], 29219),
  ('partial repair guard 3', [[1800, 2040], 2150], 8923), ('boundary control 4', [[1320, 1500], 60], 204),
  ('boundary control 5', [[6600, 7260], 2000], 24200), ('normal control 6', [[9480, 10080], 60], 674),
  ('normal control 7', [[2340, 3060], 90], 1206), ('normal control 8', [[7080, 7140], 1999], 2199)],
 [('regression: differential rounding 1', [[9000, 9600], 90], 1011),
  ('regression variant: differential rounding 2', [[5220, 5775], 2150], 22011),
  ('partial repair guard 3', [[1440, 2040], 90], 995), ('boundary control 4', [[480, 960], 1999], 16192),
  ('boundary control 5', [[1320, 1500], 60], 204), ('normal control 6', [[5763, 5823], 60], 69),
  ('normal control 7', [[8040, 8520], 2150], 19264), ('normal control 8', [[9540, 10020], 1999], 17911)]]
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: differential rounding 1	`0`	`1`	Failed
regression variant: differential rounding 2	`2472`	`2473`	Failed
partial repair guard 3	`29218`	`29219`	Failed
boundary control 4	`4600`	`4600`	Passed
boundary control 5	`1980`	`1980`	Passed
normal control 6	`22300`	`22300`	Passed
normal control 7	`16670`	`16670`	Passed
normal control 8	`403`	`403`	Passed

SHA-256 / e90d432b3a6ed7f6f3a5ce1b7a9a7ac2f4e6f3e7835a1eabab21d7d3b8829b4e

2 / The unsuccessful fix

Exit 1

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

N = 1
observations = []
def solve(shift, base):
    s, e = shift
    total = 0
    for t in range(s, e):
        day = (t // 1440) % 7
        m = t % 1440
        pct = 0
        if 900 <= m < 1380:
            pct = 10
        if m >= 1380 or m < 420:
            pct = 15
        if day >= 5:
            pct = max(pct, 12)
        total += base * (100 + pct)
    return round(total / 6000)
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression: differential rounding 1', [[0, 1], 30], 1),
  ('regression variant: differential rounding 2', [[2880, 2940], 2150], 2473),
  ('partial repair guard 3', [[9600, 10320], 2150], 29219),
  ('boundary control 4', [[8580, 8700], 2000], 4600), ('boundary control 5', [[900, 960], 1800], 1980),
  ('normal control 6', [[3840, 4440], 2000], 22300), ('normal control 7', [[2061, 2541], 2000], 16670),
  ('normal control 8', [[7620, 7860], 90], 403)],
 [('regression: differential rounding 1', [[0, 3], 10], 1),
  ('regression variant: differential rounding 2', [[9960, 10020], 90], 101),
  ('partial repair guard 3', [[6720, 7200], 90], 797), ('boundary control 4', [[8580, 8700], 2000], 4600),
  ('normal control 5', [[7620, 8340], 2000], 26880), ('normal control 6', [[1800, 2280], 2000], 16300),
  ('normal control 7', [[8313, 8373], 60], 67), ('normal control 8', [[7620, 8220], 2000], 22400)],
 [('regression: differential rounding 1', [[480, 960], 1999], 16192),
  ('regression variant: differential rounding 2', [[7200, 7920], 90], 1229),
  ('partial repair guard 3', [[9540, 10224], 2150], 27671),
  ('boundary control 4', [[6600, 7260], 2000], 24200), ('boundary control 5', [[0, 3], 10], 1),
  ('normal control 6', [[4561, 4804], 60], 270), ('normal control 7', [[4200, 4680], 60], 549),
  ('normal control 8', [[3780, 4380], 2000], 22200)],
 [('regression: differential rounding 1', [[6720, 7320], 1999], 22289),
  ('regression variant: differential rounding 2', [[9600, 10320], 2150], 29219),
  ('partial repair guard 3', [[1800, 2040], 2150], 8923), ('boundary control 4', [[1320, 1500], 60], 204),
  ('boundary control 5', [[6600, 7260], 2000], 24200), ('normal control 6', [[9480, 10080], 60], 674),
  ('normal control 7', [[2340, 3060], 90], 1206), ('normal control 8', [[7080, 7140], 1999], 2199)],
 [('regression: differential rounding 1', [[9000, 9600], 90], 1011),
  ('regression variant: differential rounding 2', [[5220, 5775], 2150], 22011),
  ('partial repair guard 3', [[1440, 2040], 90], 995), ('boundary control 4', [[480, 960], 1999], 16192),
  ('boundary control 5', [[1320, 1500], 60], 204), ('normal control 6', [[5763, 5823], 60], 69),
  ('normal control 7', [[8040, 8520], 2150], 19264), ('normal control 8', [[9540, 10020], 1999], 17911)]]
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: differential rounding 1	`1`	`1`	Passed
regression variant: differential rounding 2	`2472`	`2473`	Failed
partial repair guard 3	`29218`	`29219`	Failed
boundary control 4	`4600`	`4600`	Passed
boundary control 5	`1980`	`1980`	Passed
normal control 6	`22300`	`22300`	Passed
normal control 7	`16670`	`16670`	Passed
normal control 8	`403`	`403`	Passed

SHA-256 / d73b9d15c60f887e8ea31c12a0d8db2539c53d9fce7979d80c54aacda874b6fe

HELD IN THE MEMBER ARCHIVE

The verified repair and its recorded checks are member-only.

This mechanism has 8 recorded checks per implementation. The open-access tier publishes the failure and the unsuccessful fix; the repaired source that passes every check, and the observations that prove it, are available to members.

Every case sharing this mechanism uses the same contract and the same repair, so this one record is held back for all of them.

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Verification & scope

Stipulated toy labor rule for a bounded roster model; it is not legal advice and does not claim conformance with any jurisdiction, award, or collective agreement. 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 2026-09-29T14:52:00.712009+00:00.

Case digest / db30892a76144d81855f95eb6bcc26108c14813f5c9a329ed5a3754a1fac3ce7