ISO Week Of Year Function

Jan 18, 2006

This function returns the ISO 8601 week of the year for the date passed. The first week of each year starts on the first Monday on or before January 4 of that year, so that the year begins from December 28 of the prior year through January 4 of the current year.

This code creates the function and demos it for the first day of each ISO week/year from 1990 to 2030.



drop function dbo.F_ISO_WEEK_OF_YEAR
go
create function dbo.F_ISO_WEEK_OF_YEAR
(
@Datedatetime
)
returnsint
as
/*
Function F_ISO_WEEK_OF_YEAR returns the
ISO 8601 week of the year for the date passed.
*/
begin

declare @WeekOfYearint

select
-- Compute week of year as (days since start of year/7)+1
-- Division by 7 gives whole weeks since start of year.
-- Adding 1 starts week number at 1, instead of zero.
@WeekOfYear =
(datediff(dd,
-- Case finds start of year
case
whenNextYrStart <= @date
thenNextYrStart
whenCurrYrStart <= @date
thenCurrYrStart
elsePriorYrStart
end,@date)/7)+1
from
(
select
-- First day of first week of prior year
PriorYrStart =
dateadd(dd,(datediff(dd,-53690,dateadd(yy,-1,aa.Jan4))/7)*7,-53690),
-- First day of first week of current year
CurrYrStart =
dateadd(dd,(datediff(dd,-53690,aa.Jan4)/7)*7,-53690),
-- First day of first week of next year
NextYrStart =
dateadd(dd,(datediff(dd,-53690,dateadd(yy,1,aa.Jan4))/7)*7,-53690)
from
(
select
--Find Jan 4 for the year of the input date
Jan4=
dateadd(dd,3,dateadd(yy,datediff(yy,0,@date),0))
) aa
) a

return @WeekOfYear

end
go





-- Execute function on first day of first week of year from 1990 to 2030
select
DT,
ISO_WEEK_OF_YEAR =
dbo.F_ISO_WEEK_OF_YEAR(a.DT)
from
(
select DT = getdate()union all
select DT = convert(datetime,'1990/01/01') union all
select DT = convert(datetime,'1990/12/31') union all
select DT = convert(datetime,'1991/12/30') union all
select DT = convert(datetime,'1993/01/04') union all
select DT = convert(datetime,'1994/01/03') union all
select DT = convert(datetime,'1995/01/02') union all
select DT = convert(datetime,'1996/01/01') union all
select DT = convert(datetime,'1996/12/30') union all
select DT = convert(datetime,'1997/12/29') union all
select DT = convert(datetime,'1999/01/04') union all
select DT = convert(datetime,'2000/01/03') union all
select DT = convert(datetime,'2001/01/01') union all
select DT = convert(datetime,'2001/12/31') union all
select DT = convert(datetime,'2002/12/30') union all
select DT = convert(datetime,'2003/12/29') union all
select DT = convert(datetime,'2005/01/03') union all
select DT = convert(datetime,'2006/01/02') union all
select DT = convert(datetime,'2007/01/01') union all
select DT = convert(datetime,'2007/12/31') union all
select DT = convert(datetime,'2008/12/29') union all
select DT = convert(datetime,'2010/01/04') union all
select DT = convert(datetime,'2011/01/03') union all
select DT = convert(datetime,'2012/01/02') union all
select DT = convert(datetime,'2012/12/31') union all
select DT = convert(datetime,'2013/12/30') union all
select DT = convert(datetime,'2014/12/29') union all
select DT = convert(datetime,'2016/01/04') union all
select DT = convert(datetime,'2017/01/02') union all
select DT = convert(datetime,'2018/01/01') union all
select DT = convert(datetime,'2018/12/31') union all
select DT = convert(datetime,'2019/12/30') union all
select DT = convert(datetime,'2021/01/04') union all
select DT = convert(datetime,'2022/01/03') union all
select DT = convert(datetime,'2023/01/02') union all
select DT = convert(datetime,'2024/01/01') union all
select DT = convert(datetime,'2024/12/30') union all
select DT = convert(datetime,'2025/12/29') union all
select DT = convert(datetime,'2027/01/04') union all
select DT = convert(datetime,'2028/01/03') union all
select DT = convert(datetime,'2029/01/01') union all
select DT = convert(datetime,'2029/12/31') union all
select DT = convert(datetime,'2030/12/30')
) a








CODO ERGO SUM

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ISO Year Week Day Of Week Function

Jan 18, 2006

Function F_ISO_YEAR_WEEK_DAY_OF_WEEK returns the ISO 8601 Year Week Day of Week in format YYYY-W01-D for the date passed. W01 represents the week of the year from W01 through W53, and D represents the day of the week with 1 = Monday through 7 = Sunday.

The first week of each year starts on the first Monday on or before January 4 of that year, so that the year begins from December 28 of the prior year through January 4 of the current year.

This code creates the function and demos it for the first day, first date+60, and first date+364 for each ISO week/year from 1990 to 2030.


drop function dbo.F_ISO_YEAR_WEEK_DAY_OF_WEEK
GO
create function dbo.F_ISO_YEAR_WEEK_DAY_OF_WEEK
(
@Datedatetime
)
returnsvarchar(10)
as
/*
Function F_ISO_YEAR_WEEK_DAY_OF_WEEK
returns the ISO 8601 Year Week Day of Week
in format YYYY-W01-D for the date passed.
*/
begin

declare @YearWeekDayOfWeekvarchar(10)

Select
--Format to form YYYY-W01-D
@YearWeekDayOfWeek =
convert(varchar(4),year(dateadd(dd,7,a.YearStart)))+'-W'+
right('00'+convert(varchar(2),(datediff(dd,a.YearStart,@Date)/7)+1),2) +
'-'+convert(varchar(1),(datediff(dd,a.YearStart,@Date)%7)+1)
from
(
select
YearStart =
-- Case finds start of year
case
whenNextYrStart <= @date
thenNextYrStart
whenCurrYrStart <= @date
thenCurrYrStart
elsePriorYrStart
end
from
(
select
-- First day of first week of prior year
PriorYrStart =
dateadd(dd,(datediff(dd,-53690,dateadd(yy,-1,aaa.Jan4))/7)*7,-53690),
-- First day of first week of current year
CurrYrStart =
dateadd(dd,(datediff(dd,-53690,aaa.Jan4)/7)*7,-53690),
-- First day of first week of next year
NextYrStart =
dateadd(dd,(datediff(dd,-53690,dateadd(yy,1,aaa.Jan4))/7)*7,-53690)
from
(
select
--Find Jan 4 for the year of the input date
Jan4=
dateadd(dd,3,dateadd(yy,datediff(yy,0,@date),0))
) aaa
) aa
) a

return @YearWeekDayOfWeek

end
go


-- Execute function on first day, first day+60,
-- and first day+364 for years from 1990 to 2030.

select
DT= convert(varchar(10),DT,121),
YR_START_DT =
dbo.F_ISO_YEAR_WEEK_DAY_OF_WEEK(a.DT),
YR_START_DT_60 =
dbo.F_ISO_YEAR_WEEK_DAY_OF_WEEK(a.DT+60),
YR_START_DT_365 =
dbo.F_ISO_YEAR_WEEK_DAY_OF_WEEK(a.DT+364)
from
(
select DT = getdate()union all
select DT = convert(datetime,'1990/01/01') union all
select DT = convert(datetime,'1990/12/31') union all
select DT = convert(datetime,'1991/12/30') union all
select DT = convert(datetime,'1993/01/04') union all
select DT = convert(datetime,'1994/01/03') union all
select DT = convert(datetime,'1995/01/02') union all
select DT = convert(datetime,'1996/01/01') union all
select DT = convert(datetime,'1996/12/30') union all
select DT = convert(datetime,'1997/12/29') union all
select DT = convert(datetime,'1999/01/04') union all
select DT = convert(datetime,'2000/01/03') union all
select DT = convert(datetime,'2001/01/01') union all
select DT = convert(datetime,'2001/12/31') union all
select DT = convert(datetime,'2002/12/30') union all
select DT = convert(datetime,'2003/12/29') union all
select DT = convert(datetime,'2005/01/03') union all
select DT = convert(datetime,'2006/01/02') union all
select DT = convert(datetime,'2007/01/01') union all
select DT = convert(datetime,'2007/12/31') union all
select DT = convert(datetime,'2008/12/29') union all
select DT = convert(datetime,'2010/01/04') union all
select DT = convert(datetime,'2011/01/03') union all
select DT = convert(datetime,'2012/01/02') union all
select DT = convert(datetime,'2012/12/31') union all
select DT = convert(datetime,'2013/12/30') union all
select DT = convert(datetime,'2014/12/29') union all
select DT = convert(datetime,'2016/01/04') union all
select DT = convert(datetime,'2017/01/02') union all
select DT = convert(datetime,'2018/01/01') union all
select DT = convert(datetime,'2018/12/31') union all
select DT = convert(datetime,'2019/12/30') union all
select DT = convert(datetime,'2021/01/04') union all
select DT = convert(datetime,'2022/01/03') union all
select DT = convert(datetime,'2023/01/02') union all
select DT = convert(datetime,'2024/01/01') union all
select DT = convert(datetime,'2024/12/30') union all
select DT = convert(datetime,'2025/12/29') union all
select DT = convert(datetime,'2027/01/04') union all
select DT = convert(datetime,'2028/01/03') union all
select DT = convert(datetime,'2029/01/01') union all
select DT = convert(datetime,'2029/12/31') union all
select DT = convert(datetime,'2030/12/30')
) a


Function Test Results:

DT YR_START_DT YR_START_DT_60 YR_START_DT_364
---------- ----------- -------------- ---------------
2006-01-18 2006-W03-3 2006-W11-7 2007-W03-3
1990-01-01 1990-W01-1 1990-W09-5 1991-W01-1
1990-12-31 1991-W01-1 1991-W09-5 1992-W01-1
1991-12-30 1992-W01-1 1992-W09-5 1992-W53-1
1993-01-04 1993-W01-1 1993-W09-5 1994-W01-1
1994-01-03 1994-W01-1 1994-W09-5 1995-W01-1
1995-01-02 1995-W01-1 1995-W09-5 1996-W01-1
1996-01-01 1996-W01-1 1996-W09-5 1997-W01-1
1996-12-30 1997-W01-1 1997-W09-5 1998-W01-1
1997-12-29 1998-W01-1 1998-W09-5 1998-W53-1
1999-01-04 1999-W01-1 1999-W09-5 2000-W01-1
2000-01-03 2000-W01-1 2000-W09-5 2001-W01-1
2001-01-01 2001-W01-1 2001-W09-5 2002-W01-1
2001-12-31 2002-W01-1 2002-W09-5 2003-W01-1
2002-12-30 2003-W01-1 2003-W09-5 2004-W01-1
2003-12-29 2004-W01-1 2004-W09-5 2004-W53-1
2005-01-03 2005-W01-1 2005-W09-5 2006-W01-1
2006-01-02 2006-W01-1 2006-W09-5 2007-W01-1
2007-01-01 2007-W01-1 2007-W09-5 2008-W01-1
2007-12-31 2008-W01-1 2008-W09-5 2009-W01-1
2008-12-29 2009-W01-1 2009-W09-5 2009-W53-1
2010-01-04 2010-W01-1 2010-W09-5 2011-W01-1
2011-01-03 2011-W01-1 2011-W09-5 2012-W01-1
2012-01-02 2012-W01-1 2012-W09-5 2013-W01-1
2012-12-31 2013-W01-1 2013-W09-5 2014-W01-1
2013-12-30 2014-W01-1 2014-W09-5 2015-W01-1
2014-12-29 2015-W01-1 2015-W09-5 2015-W53-1
2016-01-04 2016-W01-1 2016-W09-5 2017-W01-1
2017-01-02 2017-W01-1 2017-W09-5 2018-W01-1
2018-01-01 2018-W01-1 2018-W09-5 2019-W01-1
2018-12-31 2019-W01-1 2019-W09-5 2020-W01-1
2019-12-30 2020-W01-1 2020-W09-5 2020-W53-1
2021-01-04 2021-W01-1 2021-W09-5 2022-W01-1
2022-01-03 2022-W01-1 2022-W09-5 2023-W01-1
2023-01-02 2023-W01-1 2023-W09-5 2024-W01-1
2024-01-01 2024-W01-1 2024-W09-5 2025-W01-1
2024-12-30 2025-W01-1 2025-W09-5 2026-W01-1
2025-12-29 2026-W01-1 2026-W09-5 2026-W53-1
2027-01-04 2027-W01-1 2027-W09-5 2028-W01-1
2028-01-03 2028-W01-1 2028-W09-5 2029-W01-1
2029-01-01 2029-W01-1 2029-W09-5 2030-W01-1
2029-12-31 2030-W01-1 2030-W09-5 2031-W01-1
2030-12-30 2031-W01-1 2031-W09-5 2032-W01-1

(43 row(s) affected)




CODO ERGO SUM

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This script creates a scalar function, F_END_OF_WEEK, that returns the end of week date for a passed date and a passed start day of week.

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/*
Function created by this script:
dbo.F_END_OF_WEEK( @DATE, @WEEK_START_DAY )
*/
if objectproperty(object_id('dbo.F_END_OF_WEEK'),'IsScalarFunction') = 1
begin drop function dbo.F_END_OF_WEEK end
go
create function dbo.F_END_OF_WEEK
(
@DATEdatetime,
-- Sun = 1, Mon = 2, Tue = 3, Wed = 4
-- Thu = 5, Fri = 6, Sat = 7
-- Default to Sunday
@WEEK_START_DAYint= 1
)
/*
Function: F_END_OF_WEEK
Finds start of last day of week at 00:00:00.000
for input datetime, @DAY, for a week that started
on the day of week of @WEEK_START_DAY.
Returns a null if the end of week date would
be after 9999-12-31.
*/
returnsdatetime
as
begin
declare @END_OF_WEEK_DATEdatetime
declare @FIRST_BOWdatetime
declare @LAST_EOWdatetime

-- Check for valid day of week, and return null if invalid
if not @WEEK_START_DAY between 1 and 7 return null

-- Find the last end of week for the passed day of week
select @LAST_EOW =convert(datetime,2958457+((@WEEK_START_DAY+6)%7))

-- Return null if end of week for date passed is after 9999-12-31
if @DATE > @LAST_EOW return null

-- Find the first valid beginning of week for the date passed.
select @FIRST_BOW = convert(datetime,-53690+((@WEEK_START_DAY+5)%7))

-- If date is before the first beginning of week for the passed day of week
-- return the day before the first beginning of week
if @DATE < @FIRST_BOW
begin
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return @END_OF_WEEK_DATE
end

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select @END_OF_WEEK_DATE =
dateadd(dd,((datediff(dd,@FIRST_BOW,@DATE)/7)*7)+6,@FIRST_BOW)

return @END_OF_WEEK_DATE

end
go




/*
Start of test script
*/

select
[DATE] = convert(varchar(10),a.DT,121),
--WEEK_START_DAY = convert(varchar(2),b.number),
FUNC_DW =
case b.number
when 1 then 'Sun'
when 2 then 'Mon'
when 3 then 'Tue'
when 4 then 'Wed'
when 5 then 'Thu'
when 6 then 'Fri'
when 7 then 'Sat'
else null
end,
START_OF_WEEK =
convert(varchar(10),dbo.F_START_OF_WEEK( a.DT, b.number ),121),
START_DW =
left(datename(dw,dbo.F_START_OF_WEEK( a.DT, b.number )),3),
END_OF_WEEK =
convert(varchar(10),dbo.F_END_OF_WEEK( a.DT, b.number ),121),
EOW_DW =
left(datename(dw,dbo.F_END_OF_WEEK( a.DT, b.number )),3)
from
(
-- Get dates from end of datetime range
select
DT = dateadd(dd,a1.number,'9999-12-25')
from
dbo.F_TABLE_NUMBER_RANGE(0,6) a1
union all
-- Get some normal dates, +/- 10 day from current date
select
DT = dateadd(dd,a3.number,getdate())
from
dbo.F_TABLE_NUMBER_RANGE(-10,10) a3
union all
-- Get dates from beginning of datetime range
select
DT = dateadd(dd,a2.number,'17530101')
from
dbo.F_TABLE_NUMBER_RANGE(0,6) a2
) a
cross join
dbo.F_TABLE_NUMBER_RANGE(1,7) b
order by
a.dt,
b.number

/*
End of test script
*/









CODO ERGO SUM

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I wrote the following function to find the start of week date for a given date and a given start day of week.

For example:
If the day passed is Saturday, 2005-03-19, and Sunday is the start of the week, it returns: 2005-03-13 00:00:00.000

If the day passed is Monday, 2005-03-14, and Sunday is the start of the week, it returns: 2005-03-13 00:00:00.000

If the day passed is Monday, 2005-03-14, and Monday is the start of the week, it returns: 2005-03-14 00:00:00.000


Does anyone have a simpler algorithim for start of week that they care to post?


Edit (2006/4/15):
Posted a companion function F_END_OF_WEEK, on this topic:
http://www.sqlteam.com/forums/topic.asp?TOPIC_ID=64760


There are other Start of Time Period Functions posted here:
http://www.sqlteam.com/forums/topic.asp?TOPIC_ID=64755


There are other End Date of Time Period Functions here:
http://www.sqlteam.com/forums/topic.asp?TOPIC_ID=64759





create function dbo.F_START_OF_WEEK
(
@DATEdatetime,
-- Sun = 1, Mon = 2, Tue = 3, Wed = 4
-- Thu = 5, Fri = 6, Sat = 7
-- Default to Sunday
@WEEK_START_DAYint= 1
)
/*
Find the fisrt date on or before @DATE that matches
day of week of @WEEK_START_DAY.
*/
returnsdatetime
as
begin
declare @START_OF_WEEK_DATEdatetime
declare @FIRST_BOWdatetime

-- Check for valid day of week
if @WEEK_START_DAY between 1 and 7
begin
-- Find first day on or after 1753/1/1 (-53690)
-- matching day of week of @WEEK_START_DAY
-- 1753/1/1 is earliest possible SQL Server date.
select @FIRST_BOW = convert(datetime,-53690+((@WEEK_START_DAY+5)%7))
-- Verify beginning of week not before 1753/1/1
if @DATE >= @FIRST_BOW
begin
select @START_OF_WEEK_DATE =
dateadd(dd,(datediff(dd,@FIRST_BOW,@DATE)/7)*7,@FIRST_BOW)
end
end

return @START_OF_WEEK_DATE

end
go

-- Sample function calls

select dbo.F_START_OF_WEEK(getdate(),default) -- Returns Date for Sunday

select dbo.F_START_OF_WEEK(getdate(),1)-- Returns Date for Sunday
select dbo.F_START_OF_WEEK(getdate(),2)-- Returns Date for Monday
select dbo.F_START_OF_WEEK(getdate(),3)-- Returns Date for Tuesday
select dbo.F_START_OF_WEEK(getdate(),4)-- Returns Date for Wednesday
select dbo.F_START_OF_WEEK(getdate(),5)-- Returns Date for Thursday
select dbo.F_START_OF_WEEK(getdate(),6)-- Returns Date for Friday
select dbo.F_START_OF_WEEK(getdate(),7)-- Returns Date for Saturday

select dbo.F_START_OF_WEEK(getdate(),0)-- Returns NULL
select dbo.F_START_OF_WEEK(getdate(),8)-- Returns NULL



Edited 2005/4/9:

I thought I would also post an alternate way of doing the Start of Week instead of using the F_START_OF_WEEK function. These queries demo doing the Start of Week inline in a query, and use a similar algorithm to find the start of week, but the start day of week is hard coded.

I posted two versions. The first version is simpler, but it has a minor flaw that returns a false result if the start of week would be before 1753/1/1. For the vast majority of applications this would not be a problem. In the second, the algorithm is modified slightly to cause it to overflow if you pick a date that would result in a start of week before 1753/1/1. Note that the F_START_OF_WEEK function returns a NULL in this situation.

The demo queries use the F_TABLE_NUMBER_RANGE that is posted in another thread in order to generate dates to demonstrated the results:
http://www.sqlteam.com/forums/topic.asp?TOPIC_ID=47685



-- First demo query for Start of Week
-- Returns bad result if the start of week would be before 1753/1/1
select
DATE,
Sun = dateadd(dd,(datediff(dd,-53684,a.DATE)/7)*7,-53684),
Mon = dateadd(dd,(datediff(dd,-53690,a.DATE)/7)*7,-53690),
Tue = dateadd(dd,(datediff(dd,-53689,a.DATE)/7)*7,-53689),
Wed = dateadd(dd,(datediff(dd,-53688,a.DATE)/7)*7,-53688),
Thu = dateadd(dd,(datediff(dd,-53687,a.DATE)/7)*7,-53687),
Fri = dateadd(dd,(datediff(dd,-53686,a.DATE)/7)*7,-53686),
Sat = dateadd(dd,(datediff(dd,-53685,a.DATE)/7)*7,-53685)
from
(
select
DATE = convert(datetime,number)
from
F_TABLE_NUMBER_RANGE(36524,40000)
) a


-- Second demo query for Start of Week
-- Modified to cause an error instead of returning a bad date
-- if the start of week would be before 1753/1/1
select
DATE,
Sun = dateadd(dd,((datediff(dd,-53684,a.DATE+7)/7)*7)-7,-53684),
Mon = dateadd(dd,((datediff(dd,-53690,a.DATE+7)/7)*7)-7,-53690),
Tue = dateadd(dd,((datediff(dd,-53689,a.DATE+7)/7)*7)-7,-53689),
Wed = dateadd(dd,((datediff(dd,-53688,a.DATE+7)/7)*7)-7,-53688),
Thu = dateadd(dd,((datediff(dd,-53687,a.DATE+7)/7)*7)-7,-53687),
Fri = dateadd(dd,((datediff(dd,-53686,a.DATE+7)/7)*7)-7,-53686),
Sat = dateadd(dd,((datediff(dd,-53685,a.DATE+7)/7)*7)-7,-53685)
from
(
select
DATE = convert(datetime,number)
from
F_TABLE_NUMBER_RANGE(36524,40000)
) a






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