| from decimal import ROUND_FLOOR, Decimal | |
| def quot2(dividend: Decimal, divisor: Decimal) -> Decimal: | |
| return (dividend / divisor).to_integral_value(rounding=ROUND_FLOOR) | |
| def mod2(dividend: Decimal, divisor: Decimal) -> Decimal: | |
| return dividend - quot2(dividend, divisor) * divisor | |
| def quot3(value: Decimal, low: Decimal, high: Decimal) -> Decimal: | |
| dividend = value - low | |
| divisor = high - low | |
| return (dividend / divisor).to_integral_value(rounding=ROUND_FLOOR) | |
| def mod3(value: Decimal, low: Decimal, high: Decimal) -> Decimal: | |
| dividend = value - low | |
| divisor = high - low | |
| return mod2(dividend, divisor) + low | |
| def max_day_in_month(year: Decimal, month: Decimal) -> Decimal: | |
| norm_month = int(mod3(month, Decimal(1), Decimal(13))) | |
| norm_year = year + quot3(month, Decimal(1), Decimal(13)) | |
| if norm_month in (1, 3, 5, 7, 8, 10, 12): | |
| return Decimal(31) | |
| if norm_month in (4, 6, 9, 11): | |
| return Decimal(30) | |
| is_leap_year = ( | |
| mod2(norm_year, Decimal(400)) == 0 | |
| or mod2(norm_year, Decimal(100)) != 0 | |
| and mod2(norm_year, Decimal(4)) == 0 | |
| ) | |
| if norm_month == 2 and is_leap_year: | |
| return Decimal(29) | |
| return Decimal(28) | |