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Module:Keppel date/doc: Difference between revisions

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Tag: 2017 source edit
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<math mode="display">\text{year} - 892</math>
<math mode="display">\text{year} - 892</math>
:If <code>yday</code> is less than 79, subtract one.
:If <code>yday</code> is less than 79, subtract one.
;<code>ydayPre</code>
;<code>yday</code>
<math mode="display">\frac{\text{yearLength} * (\text{yday} - \text{rolloverOffset})}{\text{earthYearLength}} \bmod{\text{yearLength}}</math>
<math mode="display">\frac{\text{yearLength} * (\text{yday} - \text{rolloverOffset})}{\text{earthYearLength}} \bmod{\text{yearLength}}</math>
:If <code>yday</code> is less than or equal to zero, then add <code>yearLength</code>.
:If <code>yday</code> is less than or equal to zero, then add <code>yearLength</code>.

Revision as of 02:51, March 5, 2025

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

Algorithm

Begin with the following inputs:

year
The current year in the Gregorian calendar.
yday
The current day of the year in the Gregorian calendar.

First, define the following:

Earth leap year

\text{year} \bmod 400 = 0 \text{year} \bmod 4 = 0\text{ and not }\text{year} \bmod 100 = 0

Keppel leap year (schedule 1)

\text{year} \bmod 4 = 2

Keppel leap year (schedule 2)

\text{year} \bmod 239 = 65

earthYearLength
If it is an Earth leap year, 366; else, 365.
yearLength
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.
rolloverOffset
If it is an Earth leap year, 79; else, 78.

To calculate the result:

year

\text{year} - 892

If yday is less than 79, subtract one.
yday

\frac{\text{yearLength} * (\text{yday} - \text{rolloverOffset})}{\text{earthYearLength}} \bmod{\text{yearLength}}

If yday is less than or equal to zero, then add yearLength.
lythryd

\lceil \frac{\text{yday}}{32} \rceil

day

\lfloor \text{yday} - (\text{lythryd} - 1) * 32 \rfloor