mustafasrepo opened a new pull request, #8281:
URL: https://github.com/apache/arrow-datafusion/pull/8281

   ## Which issue does this PR close?
   
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   Improves the situation on 
[#8064](https://github.com/apache/arrow-datafusion/issues/8064)
   
   ## Rationale for this change
   Currently we cannot determine whether ordering requirement of the complex 
expressions are satisfied.
   Consider the case where requirement is `[a+b ASC]`, and we know that 
existing orderings are `[a ASC], [b ASC]`. It should be possible to understand 
that given `[a ASC] and [b ASC]`, requirement: `[a+b ASC]` is satisfied (Please 
note that we already have mechanism to make deduction. However, it is not 
considered in requirement satisfaction analysis. Currently we search 
requirement among existing orderings, this limits our ability during analysis). 
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the issue then this section is not needed.
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   ## What changes are included in this PR?
   This PR re-implements the `find_longest_permutation` and 
`ordering_satisfy_requirement` so that ordering of the complex(composed) 
expressions are calculated correctly, and considered during analysis. Most of 
the changes comes from the tests, and test related changes.
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   There is no need to duplicate the description in the issue here but it is 
sometimes worth providing a summary of the individual changes in this PR.
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   ## Are these changes tested?
   Yes.
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   ## Are there any user-facing changes?
   
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