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Module:Keppel date/doc: Difference between revisions

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Replaced content with "__NOTOC__ Converts the current (or provided) date to a Keppel date. Used by Template:Keppel date."
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Converts the current (or provided) date to a Keppel date.
Converts the current (or provided) date to a Keppel date.
Used by [[Template:Keppel date]].
Used by [[Template:Keppel date]].

==Algorithm==
Begin with the following inputs:
;<code>year</code>
:The current year in the Gregorian calendar.
;<code>yday</code>
:The current day of the year in the Gregorian calendar.

First, define the following:
;Earth leap year
<math mode="display">\text{year} \bmod 400 = 0</math>
<math mode="display">\text{year} \bmod 4 = 0\text{ and not }\text{year} \bmod 100 = 0</math>
;Keppel leap year (schedule 1)
<math mode="display">\text{year} \bmod 4 = 2</math>
;Keppel leap year (schedule 2)
<math mode="display">\text{year} \bmod 239 = 65</math>
;<code>earthYearLength</code>
:If it is an Earth leap year, 366; else, 365.
;<code>yearLength</code>
:Start with 389.
:If it is a Keppel leap year (schedule 1), add one.
:If it is a Keppel leap year (schedule 2), add one.
;<code>rolloverOffset</code>
:If it is an Earth leap year, 79; else, 78.

To calculate the result:
;<code>year</code>
<math mode="display">\text{year} - 892</math>
:If <code>yday</code> is less than 79, subtract one.
;<code>yday</code>
<math mode="display">\frac{\text{yearLength} * (\text{yday} - \text{rolloverOffset})}{\text{earthYearLength}} \bmod{\text{yearLength}}</math>
:If this is less than or equal to zero, add <code>yearLength</code>.
;<code>lythryd</code>
<math mode="display">\lceil \frac{\text{yday}}{32} \rceil</math>
;<code>day</code>
<math mode="display">\lfloor \text{yday} - (\text{lythryd} - 1) \times 32 \rfloor</math>
<includeonly>[[Category:Modules: tesinormed]]</includeonly>

Revision as of 08:25, September 17, 2025

Converts the current (or provided) date to a Keppel date. Used by Template:Keppel date.