cyb70289 edited a comment on pull request #9841:
URL: https://github.com/apache/arrow/pull/9841#issuecomment-818526907


   Record things to improve, will create Jira to track.
   
   Power kernel is modified from add/sub/mul/div kernels. But power is much 
more complicated than basic arithmetic operations. Some limitations in current 
implementation:
   - Base and exponent must be the same type, this is not reasonable
   - Null handling is delayed to the end, and power is always calculated even 
for nulls (with whatever base/exponent happen to be in the slots). This is a 
big waste of time for expensive power calculations.
   
   For checked power, integer overflow is checked for every multiplication. As 
the integer upper bound is already know, it can be calculate directly if the 
power will overflow. It will remove overflow checks in each iteration, but will 
introduce one expensive logarithm operation. Maybe deserve a try.


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