Calculate gregorian easter sunday using a table valued function
This function could be used as a cross apply join to get the yearly gregorian easter sunday.
CREATE FUNCTION [dbo].[ufn_inltab_getGregorianEasterSunday](@year SMALLINT)
RETURNS TABLE
RETURN
-- http://www.robinlangell.com/calculate-gregorian-easter-sunday-fast-with-a-table-valued-function-in-tsql/
WITH
Step1 AS( SELECT a = @year%19, b = FLOOR(1.0*@year/100), c = @year%100 ),
Step2 AS( SELECT a,b,c,d = FLOOR(1.0*b/4), e=b%4, f=FLOOR((8.0+b)/25) FROM Step1 ),
Step3 AS( SELECT a,b,c,d,e,g = FLOOR((1.0+ b- f)/3) FROM Step2 ),
Step4 AS( SELECT a,d,e,h = (19*a+b-d-g+15)%30, i= FLOOR(1.0*c/4), k= @year%4 FROM Step3 ),
Step5 AS( SELECT a,h,l = (32.0+2*e+2*i-h-k)%7 FROM Step4 ),
Step6 AS( SELECT h,l,m = FLOOR((1.0*a+11*h+22*l)/451) FROM Step5 ),
Step7 AS( SELECT easterSunday =
CAST( DATEADD(dd, (h+l-7*m+114)%31,
DATEADD(mm, FLOOR((1.0*h+l-7*m+114)/31)-1,
DATEADD(yy, @year-2000, '2000-01-01') )
) AS DATE)
FROM Step6
)
SELECT easterSunday
FROM Step7
GO
CREATE FUNCTION [dbo].[ufn_inltab_findGregorianEasterSunday](@date date)
RETURNS TABLE
RETURN
-- http://www.robinlangell.com/calculate-gregorian-easter-sunday-fast-with-a-table-valued-function-in-tsql/
WITH
Step1 AS( SELECT a = YEAR(@date)%19, b = FLOOR(1.0*YEAR(@date)/100), c = YEAR(@date)%100 ),
Step2 AS( SELECT a,b,c,d = FLOOR(1.0*b/4), e=b%4, f=FLOOR((8.0+b)/25) FROM Step1 ),
Step3 AS( SELECT a,b,c,d,e,g = FLOOR((1.0+ b- f)/3) FROM Step2 ),
Step4 AS( SELECT a,d,e,h = (19*a+b-d-g+15)%30, i= FLOOR(1.0*c/4), k= YEAR(@date)%4 FROM Step3 ),
Step5 AS( SELECT a,h,l = (32.0+2*e+2*i-h-k)%7 FROM Step4 ),
Step6 AS( SELECT h,l,m = FLOOR((1.0*a+11*h+22*l)/451) FROM Step5 ),
Step7 AS( SELECT easterSunday =
CAST( DATEADD(dd, (h+l-7*m+114)%31,
DATEADD(mm, FLOOR((1.0*h+l-7*m+114)/31)-1,
DATEADD(yy, YEAR(@date)-2000, '2000-01-01') )
) AS DATE)
FROM Step6
),
Step8 AS ( SELECT isEasterSunday = CASE WHEN easterSunday = @date THEN 1 ELSE 0 END FROM Step7 )
SELECT isEasterSunday
FROM Step8
GO
-- ================================== Year test ============================ --
-- N-table on the fly:
WITH c1(N) AS ( SELECT N FROM ( VALUES (1), (2), (3), (4), (5), (6), (7), (8), (9), (10) ) AS N(N) )
,c2(N) AS (SELECT a.N FROM c1 a CROSS APPLY c1 b)
,c3(N) AS (SELECT a.N FROM c2 a CROSS APPLY c2 b)
,c4(N) AS (SELECT a.N FROM c3 a CROSS APPLY c3 b)
SELECT
YearTab.YearTest
,Easter.easterSunday
FROM
(
SELECT TOP (100)
YearTest = CAST( (ROW_NUMBER() OVER (ORDER BY ( SELECT NULL) ) -1) + 1950 AS SMALLINT)
FROM c4
) YearTab
CROSS APPLY [dbo].[ufn_inltab_getGregorianEasterSunday] ( YearTest ) Easter
GO
-- ================================== find day test ============================ --
-- N-table on the fly:
WITH c1(N) AS ( SELECT N FROM ( VALUES (1), (2), (3), (4), (5), (6), (7), (8), (9), (10) ) AS N(N) )
,c2(N) AS (SELECT a.N FROM c1 a CROSS APPLY c1 b)
,c3(N) AS (SELECT a.N FROM c2 a CROSS APPLY c2 b)
,c4(N) AS (SELECT a.N FROM c3 a CROSS APPLY c3 b)
SELECT
DayTab.CalenderDate
,Easter.isEasterSunday
FROM
(
SELECT TOP (10000)
CalenderDate = DATEADD(D, ROW_NUMBER() OVER (ORDER BY ( SELECT NULL) ), '2010-01-01' )
FROM c4
) DayTab
CROSS APPLY [dbo].[ufn_inltab_findGregorianEasterSunday] ( CalenderDate ) Easter
WHERE MONTH(DayTab.CalenderDate) IN (3,4)