mustafasrepo opened a new pull request, #8327:
URL: https://github.com/apache/arrow-datafusion/pull/8327

   ## Which issue does this PR close?
   
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   Closes #.
   
   ## Rationale for this change
   Currently we cannot calculate `NTH_VALUE` result in reverse order. However, 
this can be done, if we were to support negative index for `NTH_VALUE` (as in 
python arrays). With this support we can calculate reverse representation of 
`NTH_VALUE` to better optimize some plans. Please note that negative index 
cannot be entered from the SQL query. In this sense, there is no difference 
from the user point of view.
   However, query below
   ```sql
   SELECT c, NTH_VALUE(c, 2) OVER(order by c DESC RANGE BETWEEN UNBOUNDED 
PRECEDING AND CURRENT ROW) as nv1
     FROM multiple_ordered_table
     ORDER BY c ASC
     LIMIT 5
   ``` 
   where `multiple_ordered_table` satisfied `c ASC` ordering, is re-written as 
the following behind the scenes
   ```
   SELECT c, NTH_VALUE(c, -2) OVER(order by c ASC RANGE BETWEEN CURRENT ROW and 
UNBOUNDED FOLLOWING) as nv1
     FROM multiple_ordered_table
     ORDER BY c ASC
     LIMIT 5
   ```
   which can be executed without introducing any `SortExec` to the plan.
   For window frame reversal see `Constructing Equivalent Window Frames for 
Reverse Expressions` section in the [blog 
post](https://www.synnada.ai/blog/running-window-query-in-stream-processing).
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   ## What changes are included in this PR?
   This PR add negative index support to the `NTH_VALUE` window function to 
support reverse order execution.
   
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   ## Are these changes tested?
   Yes.
   
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   ## Are there any user-facing changes?
   
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