💎SQL Reloaded: More Date-related Functionality II

Arithmetic Progression Sets

In yesterday’s post on the same topic I was showing how to create a sequence of dates on the fly with the help of common table expressions and multi-statement table-valued functions. I was mentioning that similar functionality could be obtained using a numeric sequence (interval), following to create the dates when calling the function. Here’s the function that provides the respective functionality, the difference from fGetDatesInInterval, excepting the different data types, is that it has a third parameter for the increment value (default 1), being thus possible to generate a list of odd/even numbers or any other type of arithmetic progressions. 

-- SQL Server 2005+: Numeric Interval
CREATE FUNCTION dbo.fGetInterval(
@Start int = 0
, @End int = 0
, @Step int=1)
RETURNS @Interval TABLE(
Value int PRIMARY KEY)
AS
BEGIN
DECLARE @Sign smallint
SET @Sign = IsNull(NullIf(Sign(@End-@Start), 0), 1);
WITH CTE(Sequence)
AS(
     SELECT COALESCE(@Start, @End, 0) Sequence
     UNION ALL
     SELECT CTE.Sequence + @Step * @Sign Sequence
     FROM CTE
     WHERE (@End-CTE.Sequence-@Step)*@Sign>=0
)
INSERT @Interval
SELECT Sequence
FROM CTE
OPTION(MAXRECURSION 0)
RETURN
END

-- numeric interval
SELECT *
FROM dbo.fGetInterval(0, 1000, 1)
-- numeric interval (3rd parameter NULL)
SELECT *
FROM dbo.fGetInterval(0, 999, NULL)
-- even numbers
SELECT *
FROM dbo.fGetInterval(0, 1000, 2)
-- odd numbers
SELECT *
FROM dbo.fGetInterval(1, 1000, 2)
-- single value
SELECT *
FROM dbo.fGetInterval(1, 1, 2)

 
     The numeric values returned by the function could be used to form a date sequence by using the DateAdd function and a Cast to the date data type. The downside with this approach is that if the dates are used in more expressions within the same query, the expression used to calculate the dates increases the visual complexity of the query, a function like fGetDatesInInterval could be easier to use instead.

-- creating a date sequence
SELECT Value
, Cast(DATEADD(d, Value, GETDATE()) as Date) DateSequence
FROM dbo.fGetInterval(0, 1000, 1)

     The fGetInterval has a second particularity, the Value attribute from the table used to retrieve the data was declared as PRIMARY KEY, fact that allows to improve queries’ performance when searches are performed on table’s values. The DateSequence from the table returned by fGetDatesInInterval could be defined as PRIMARY KEY too.

    The common table expression and its use resumes in writing a single statement, and considering that the logic from fGetInterval function could be written as a single statement, in theory we could write an inline table-valued function instead. This technique works as long the OPTION clause is not used within the inline function, when this is attempted is returned the following error: Incorrect syntax near the keyword 'OPTION'. As it seems the OPTION clause can’t be used with single-statement objects like views or inline table-valued functions. Therefore common table expressions can be used in single-statement objects, the functionality being thus restrained to the 100 default limit number of recursion.

Missing Values in a Data Set

    While searching for something on the Web, today I found Aaron Akin’s post on Recursive Common Table Expressions, he’s using them in order to determine the missing numbers/dates in a sequence. This can be easily achieved using for example the fGetDatesInInterval  or fGetInterval functions with a left join to the tested data set. Using the AdventureWorks database and fGetDatesInInterval function, supposing that I would like to see the working dates within a time interval with no POs, the query could be written as follows:

-- working days with no PO
SELECT DI.DateSequence
FROM dbo.fGetDatesInInterval('2003-01-01', '2003-12-31') DI
LEFT JOIN ( -- list of PO dates
    SELECT OrderDate
    FROM Purchasing.PurchaseOrderHeader 
    GROUP BY OrderDate
) POH
ON DATEDIFF(d, DI.DateSequence, POH.OrderDate)=0
WHERE DATEPART(dw, DI.DateSequence) BETWEEN 2 AND 6 --working days
AND POH.OrderDate IS NULL

     A similar approach could be used also in case of numeric data sets, here’s an example based on fGetInterval  and SplitList table-valued functions:

SELECT DI.Value
FROM dbo.fGetInterval(1, 10, 1) DI
   LEFT JOIN dbo.SplitList('1,3,6,7,10', ',') SL
      ON DI.Value = SL.Value
WHERE SL.Value IS NULL