Recursive CTE Concept Confusion

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清酒与你
清酒与你 2021-01-25 11:50

I am trying to understand the concepts of using CTE in my SQL code. I have gone through a number of online posts explaining the concept but I cannot grasp how it iterates to pre

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  • 2021-01-25 12:10

    Well, a short introduction to recursive CTEs:

    A recursive CTE is rather something iterativ, than really recursive. The anchor query is taken to get some initial result set. With this set we can dive deeper. Try these simple cases:

    Just a counter, not even a JOIN needed...

    The 1 of the anchor will lead to a 2 in the UNION ALL. This 2 is passed into the UNION ALL again and will be returned as a 3 and so on...

    WITH recCTE AS
    (
        SELECT 1 AS Mycounter 
    
        UNION ALL
    
        SELECT recCTE.MyCounter+1
        FROM recCTE 
        WHERE recCTE.MyCounter<10
    )
    SELECT * FROM recCTE;
    

    A counter of 2 columns

    This is exactly the same as above. But we have two columns and deal with them separately.

    WITH recCTE AS
    (
        SELECT 1 AS Mycounter1, 10 AS MyCounter2 
    
        UNION ALL
    
        SELECT recCTE.MyCounter1+1,recCTE.MyCounter2+1
        FROM recCTE 
        WHERE recCTE.MyCounter1<10
    )
    SELECT * FROM recCTE;
    

    Now we have two rows in the initial query

    Running alone, the initial query will return two rows. Both with the counter==1 and two different values for the Nmbr-column

    WITH recCTE AS
    (
        SELECT MyCounter=1, Nmbr FROM(VALUES(1),(10)) A(Nmbr)
    
        UNION ALL
    
        SELECT recCTE.MyCounter+1, recCTE.Nmbr+1
        FROM recCTE 
        WHERE recCTE.MyCounter<10
    )
    SELECT * FROM recCTE ORDER BY MyCounter,Nmbr;
    

    Now we get 20 rows back, not 10 as in the examples before. This is, because both rows of the anchor are used independently.

    We can use the recursive CTE in a JOIN

    In this example we will create a derived set first, then we will join this to the recursive CTE. Guess why the first row carries "X" instead of "A"?

    WITH SomeSet AS (SELECT * FROM (VALUES(1,'A'),(2,'B'),(3,'C'),(4,'D'),(5,'E'),(6,'F'),(7,'G'),(8,'H'),(9,'I'),(10,'J')) A(id,Letter))
    ,recCTE AS
    (
        SELECT MyCounter=1, Nmbr,'X' AS Letter FROM(VALUES(1),(10)) A(Nmbr)
    
        UNION ALL
    
        SELECT recCTE.MyCounter+1, recCTE.Nmbr+1, SomeSet.Letter
        FROM SomeSet 
        INNER JOIN recCTE ON SomeSet.id=recCTE.MyCounter+1
        WHERE recCTE.MyCounter<10
    )
    SELECT * FROM recCTE ORDER BY MyCounter,Nmbr;
    

    This will use a self-referring join to simulate your hierarchy, but with one gap-less chain

    WITH SomeSet AS (SELECT * FROM (VALUES(1,'A',NULL),(2,'B',1),(3,'C',2),(4,'D',3),(5,'E',4),(6,'F',5),(7,'G',6),(8,'H',7),(9,'I',8),(10,'J',9)) A(id,Letter,Previous))
    ,recCTE AS
    (
        SELECT id,Letter,Previous,' ' PreviousLetter FROM SomeSet WHERE Previous IS NULL
    
        UNION ALL
    
        SELECT SomeSet.id,SomeSet.Letter,SomeSet.Previous,recCTE.Letter
        FROM SomeSet 
        INNER JOIN recCTE ON SomeSet.Previous=recCTE.id
    )
    SELECT * FROM recCTE:
    

    And now almost the same as before, but with several elements with the same "previous".

    This is - in principles - your hierarchy

    WITH SomeSet AS (SELECT * FROM (VALUES(1,'A',NULL),(2,'B',1),(3,'C',2),(4,'D',2),(5,'E',2),(6,'F',3),(7,'G',3),(8,'H',4),(9,'I',1),(10,'J',9)) A(id,Letter,Previous))
    ,recCTE AS
    (
        SELECT id,Letter,Previous,' ' PreviousLetter FROM SomeSet WHERE Previous IS NULL
    
        UNION ALL
    
        SELECT SomeSet.id,SomeSet.Letter,SomeSet.Previous,recCTE.Letter
        FROM SomeSet 
        INNER JOIN recCTE ON SomeSet.Previous=recCTE.id
    )
    SELECT * FROM recCTE
    

    Conclusio

    The key points

    • The anchor query must return at least one row, but may return many
    • The second part must match the column list (as any UNION ALL query)
    • The second part must refer to the cte in its FROM-clause
      • either directly, or
      • through a JOIN
    • The second part will be called over and over using the result of the call before
    • Each row is handled separately (a hidden RBAR)
    • You can start with a Manager (top-most-node) and walk down by querying for employees with this manager id, or
    • You can start with the lowest in hierarchy (the ones, where no other row exists, using their id as manager id) and move up the list
    • As it is a hidden RBAR you can use this for row-by-row actions like string cummulation.

    An example for the last statement

    See how the column LetterPath is built.

    WITH SomeSet AS (SELECT * FROM (VALUES(1,'A',NULL),(2,'B',1),(3,'C',2),(4,'D',2),(5,'E',2),(6,'F',3),(7,'G',3),(8,'H',4),(9,'I',1),(10,'J',9)) A(id,Letter,Previous))
    ,recCTE AS
    (
        SELECT id,Letter,Previous,' ' PreviousLetter,CAST(Letter AS VARCHAR(MAX)) AS LetterPath FROM SomeSet WHERE Previous IS NULL
    
        UNION ALL
    
        SELECT SomeSet.id,SomeSet.Letter,SomeSet.Previous,recCTE.Letter,recCTE.LetterPath + SomeSet.Letter 
        FROM SomeSet 
        INNER JOIN recCTE ON SomeSet.Previous=recCTE.id
    )
    SELECT * FROM recCTE
    
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  • 2021-01-25 12:15

    It's all about recursive step: firstly, root is used to proceed first step of recursion, so:

    SELECT EmployeeID, ContactID, LoginID, ManagerID, Title, BirthDate
    FROM HumanResources.Employee
    WHERE ManagerID IS NULL
    

    This provides first set of records.

    Second set of records will be queried based on first set (anchor), so it will query all employees, which have manager in first set.

    Second step of recursion will be based on second result set, not the anchor.

    Third step will be based on third result set, etc.

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  • 2021-01-25 12:28

    So you want to understand a recursive CTE.

    It's simple really.

    First there's the seed query which gets the original records.

      SELECT EmployeeID, ContactID, LoginID, ManagerID, Title, BirthDate
      FROM HumanResources.Employee
      WHERE ManagerID IS NULL
    

    In your case it's the employees without a manager.
    Which would be the boss(es)

    To demonstrate with a simplified example:

    EmployeeID LoginID ManagerID Title 
    ---------- ------- --------- ------------
    101        boss    NULL      The Boss
    

    The second query looks for employees that have the previous record as a manager.

      SELECT e.EmployeeID, e.ContactID, e.LoginID, e.ManagerID, e.Title, e.BirthDate
      FROM HumanResources.Employee e
      INNER JOIN Emp_CTE ecte ON ecte.EmployeeID = e.ManagerID
    

    Since it's a recursive CTE, the CTE uses itself in the second query.
    You could see it as a loop, where it uses the previous records to get the next.

    For the first iteration of that recursive loop you could get something like this:

     EmployeeID LoginID ManagerID Title 
    ---------- ------- --------- ------------
    102        head1    101      Top Manager 1
    103        head2    101      Top Manager 2
    

    For the second iteration it would use the records from that first iteration to find the next.

     EmployeeID LoginID ManagerID Title 
    ---------- ------- --------- ------------
    
    104        bob     102       Department Manager 1
    105        hilda   102       Department Manager 2
    
    108        john    103       Department Manager 4
    109        jane    103       Department Manager 5
    

    For the 3th iteration it would use the records from the 2nd iteration.

    ...

    And this continues till there are no more employees to join on the ManagerID

    Then after all the looping, the CTE will return all the records that were found through all those iterations.

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