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Easter ( theYear )

Calculates the date of Easter sunday of a given year

  Average rating: 4.2 (30 votes) Log in to vote

Reinder Wolting ABECON http://www.abecon.nl

  Function definition: (Copy & paste into FileMaker's Edit Custom Function window)

Let ( [ theDay = (Mod((Mod(19 * Mod(theYear ; 19) + Int(theYear / 100) - Int(Int(theYear / 100) / 4) - Int((Int(theYear / 100) - Int((Int(theYear / 100) + 8 ) / 25) + 1) / 3) + 15; 30) + Mod(32 + 2 * Mod(Int(theYear / 100) ; 4) + 2 * Int(Mod(theYear ; 100) / 4) - Mod(19 * Mod(theYear ; 19) + Int(theYear / 100) - Int(Int(theYear / 100) / 4) - Int((Int(theYear / 100) - Int((Int(theYear / 100) + 8 ) / 25) + 1) / 3) + 15; 30) - Mod(Mod(theYear ; 100) ; 4); 7) - 7 * (Int( (Mod(theYear ; 19) + 11 * (Mod(19 * Mod(theYear ; 19) + Int(theYear / 100) - Int(Int(theYear / 100) / 4) - Int((Int(theYear / 100) - Int((Int(theYear / 100) + 8 ) / 25) + 1) / 3) + 15; 30)) + 22 * (Mod(32 + 2 * Mod(Int(theYear / 100) ; 4) + 2 * Int(Mod(theYear ; 100) / 4) - Mod(19 * Mod(theYear ; 19) + Int(theYear / 100) - Int(Int(theYear / 100) / 4) - Int((Int(theYear / 100) - Int((Int(theYear / 100) + 8 ) / 25) + 1) / 3) + 15; 30) - Mod(Mod(theYear ; 100) ; 4); 7))) / 451 )) + 114 ) ; 31 ) + 1) - If(theYear <= 1582; 10; 0); theMonth = Int((Mod(19 * Mod(theYear ; 19) + Int(theYear / 100) - Int(Int(theYear / 100) / 4) - Int((Int(theYear / 100) - Int((Int(theYear / 100) + 8 ) / 25) + 1) / 3) + 15; 30) + Mod(32 + 2 * Mod(Int(theYear / 100) ; 4) + 2 * Int(Mod(theYear ; 100) / 4) - Mod(19 * Mod(theYear ; 19) + Int(theYear / 100) - Int(Int(theYear / 100) / 4) - Int((Int(theYear / 100) - Int((Int(theYear / 100) + 8 ) / 25) + 1) / 3) + 15; 30) - Mod(Mod(theYear ; 100) ; 4); 7) - 7 * (Int( (Mod(theYear ; 19) + 11 * (Mod(19 * Mod(theYear ; 19) + Int(theYear / 100) - Int(Int(theYear / 100) / 4) - Int((Int(theYear / 100) - Int((Int(theYear / 100) + 8 ) / 25) + 1) / 3) + 15; 30)) + 22 * (Mod(32 + 2 * Mod(Int(theYear / 100) ; 4) + 2 * Int(Mod(theYear ; 100) / 4) - Mod(19 * Mod(theYear ; 19) + Int(theYear / 100) - Int(Int(theYear / 100) / 4) - Int((Int(theYear / 100) - Int((Int(theYear / 100) + 8 ) / 25) + 1) / 3) + 15; 30) - Mod(Mod(theYear ; 100) ; 4); 7))) / 451 )) + 114 ) / 31 ) ]; Date(theMonth; theDay; theYear ) ) Click to copy

Calculates the date of Easter sunday of a given year.
By adding 39 days to this date you have the date of Ascension Day
By adding 49 days you also have the date of Whitsun.

 

Comments

		comment, VR Aug 7, 2011
This function returns incorrect results for all years before 1583.

		Reinder Wolting, Huizen Aug 7, 2011
Maybe the description for this function should be: Calculates the date of Easter sunday in the Gregorian calendar.

		Alex Sep 29, 2011
Hi, I have a problem with this formula, as the output date is not recognized equal to a the field "DateofMonth". I mean: DateofMonth (08/04/2012) is not recognized equal to EasterDate (08/04/2012) this one calculated with your formula. This I need to mark on a calendar form the holiday date. How it is possible?

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