SQL Reloaded: Successive Price Increases/Discounts via Windowing Functions and CTEs

I was trying today to solve a problem that apparently requires recursive common table expressions, though they are not (yet) available in Azure Synapse serverless SQL pool. The problem can be summarized in the below table definition, in which given a set of Products with an initial Sales price, is needed to apply Price Increases successively for each Cycle. The cumulated increase is simulated in the last column for each line. 

Unfortunately, there is no SQL Server windowing function that allows multiplying incrementally the values of a column (similar as the running total works). However, there’s a mathematical trick that can be used to transform a product into a sum of elements by applying the Exp (exponential) and Log (logarithm) functions (see Solution 1), and which frankly is more elegant than applying CTEs (see Solution 2). 

-- create table with test data
SELECT *
INTO dbo.ItemPrices
FROM (VALUES ('ID001', 1000, 1, 1.02, '1.02')
, ('ID001', 1000, 2, 1.03, '1.02*1.03')
, ('ID001', 1000, 3, 1.03, '1.02*1.03*1.03')
, ('ID001', 1000, 4, 1.04, '1.02*1.03*1.03*1.04')
, ('ID002', 100, 1, 1.02, '1.02')
, ('ID002', 100, 2, 1.03, '1.02*1.03')
, ('ID002', 100, 3, 1.04, '1.02*1.03*1.04')
, ('ID002', 100, 4, 1.05, '1.02*1.03*1.04*1.05')
) DAT (ItemId, SalesPrice, Cycle, PriceIncrease, CumulatedIncrease)

-- reviewing the data
SELECT *
FROM dbo.ItemPrices

-- Solution 1: new sales prices with log & exp
SELECT ItemId
, SalesPrice
, Cycle
, PriceIncrease
, EXP(SUM(Log(PriceIncrease)) OVER(PARTITION BY Itemid ORDER BY Cycle)) CumulatedIncrease
, SalesPrice * EXP(SUM(Log(PriceIncrease)) OVER(PARTITION BY Itemid ORDER BY Cycle)) NewSalesPrice
FROM dbo.ItemPrices

-- Solution 2: new sales prices with recursive CTE
;WITH CTE 
AS (
-- initial record
SELECT ITP.ItemId
, ITP.SalesPrice
, ITP.Cycle
, ITP.PriceIncrease
, cast(ITP.PriceIncrease as decimal(38,6)) CumulatedIncrease
FROM dbo.ItemPrices ITP
WHERE ITP.Cycle = 1
UNION ALL
-- recursice part
SELECT ITP.ItemId
, ITP.SalesPrice
, ITP.Cycle
, ITP.PriceIncrease
, Cast(ITP.PriceIncrease * ITO.CumulatedIncrease as decimal(38,6))  CumulatedIncrease
FROM dbo.ItemPrices ITP
    JOIN CTE ITO
	  ON ITP.ItemId = ITO.ItemId
	 AND ITP.Cycle-1 = ITO.Cycle
)
-- final result
SELECT ItemId
, SalesPrice
, Cycle
, PriceIncrease
, CumulatedIncrease
, SalesPrice * CumulatedIncrease NewSalesPrice
FROM CTE
ORDER BY ItemId
, Cycle


-- validating the cumulated price increases (only last ones)
SELECT 1.02*1.03*1.03*1.04 
, 1.02*1.03*1.04*1.05

-- cleaning up
DROP TABLE IF EXISTS dbo.ItemPrices

Notes:
1. The logarithm in SQL Server’s implementation works only with positive numbers!
2. For simplification I transformed percentages (e.g. 1%) in values that are easier to multitply with (e.g. 1.01). The solution can be easily modified to consider discounts.
3. When CTEs are not available, one is forced to return to the methods used in SQL Server 2000 (I've been there) and thus use temporary tables or table variables with loops. Moreover, the logic can be encapsulated in multi-statement table-valued functions (see example), unfortunately, another feature not (yet) supported by serverless SQL pools. 
4. Unfortunately, STRING_AGG, which concatenates values across rows, works only with a GROUP BY clause. Anyway, its result is useless without the availability of a Eval function in SQL (see example), however the Expr function available in data flows could be used as workaround.
4. Even if I thought about the use of logarithms for transforming the product into a sum, I initially ignored the idea, thinking that the solution would be too complex to implement. So, the credit goes to another blogpost. Kudos!

Happy coding!

MS Office: Excel for SQL Developers I (Range to Delimited List of Values)

    For many SQL developers Excel could prove to be a useful tool in what concerns not only data analysis and manipulation but also in using its functionality for handling repetitive tasks. One of the simplest such examples I may thing of is the formatting of a list of values for use within a query.

    Typically users are requesting to provide a report based on a list of values provided in Excel, for example a list of Products. If the list is quite small, let's say 5-10 products, list's transformation to be used in the query is not quite a big deal. On the other side when dealing with hundreds or thousand of records the story totally changes. In all cases what I do is to select first the distinct list of values and copy them eventually in a new sheet where I use a formula like the one in the screenshot and apply it to the whole data set. 

 
 

 
Notes:
1.    Within the = ", '" & TRIM(A2) & "'" formula the Trim function helps to remove the additional spaces.
2.    Please note that when the values from Excel were copied beforehand from other applications (e.g. Web pages) it could happen that additional formatting is stored resulting in unexpected behavior. What it helps to solve this issue is to copy paste the values in another sheet using the Paste Special feature, use Data/Text To Columns functionality for each column involved or export the data to a comma delimited file and re-import it in another Excel sheet.

     Now all I have to do is to copy the transformed output into my SQL Editor of choice and use it in a query.

SELECT * -- specify explicitly the attributes! 
FROM Production.Product 
WHERE ProductNumber IN ( 
'BK-R93R-62' , 'BK-R93R-44' 
, 'BK-R93R-48' 
, 'BK-R93R-52' 
, 'BK-R93R-56' 
, 'BK-R68R-58' 
, 'BK-R68R-60' 
, 'BK-R68R-44' 
, 'BK-R68R-48' 
, 'BK-R68R-52' 
, 'BK-R50R-58' 
, 'BK-R50R-60' 
, 'BK-R50R-62' 
, 'BK-R50R-44' 
, 'BK-R50R-48' 
, 'BK-R50R-52' 
, 'BK-R50B-58' 
, 'BK-R50B-60' 
, 'BK-R50B-62' 
, 'BK-R50B-44') 

    An even much easier approach is to create a simple macro that takes as input the range I would like to extract the information from and transform the input directly into a comma delimited list of values. Here’s the function used for this purpose: 

 

Function GetRangeAsList(ByVal rng As Range) As String 
Dim result As String 
Dim cell As Range 
For Each cell In rng 
    If Len(Trim(cell.Value)) > 0 Then 
       result = result & ", '" & Trim(cell.Value) & "'" 
    End If 
Next 
GetRangeAsList = IIf(Len(result) > 0, Right(result, Len(result) - 1), result) 
End Function 

   Now all I have to do in the Excel sheet with my data is to type the following formula =GetRangeAsList(A2:A21) in an empty cell out of existing dataset, function’s output being similar to the previous used formula, however the list of values is more compact:
'BK-R93R-62', 'BK-R93R-44', 'BK-R93R-48', 'BK-R93R-52', 'BK-R93R-56', 'BK-R68R-58', 'BK-R68R-60', 'BK-R68R-44', 'BK-R68R-48', 'BK-R68R-52', 'BK-R50R-58', 'BK-R50R-60', 'BK-R50R-62', 'BK-R50R-44', 'BK-R50R-48', 'BK-R50R-52', 'BK-R50B-58', 'BK-R50B-60', 'BK-R50B-62', 'BK-R50B-44'

Note:
  The function could be easily changed to provide the delimiter as parameter too, though I haven’t met many occasions when other delimiter was required.