Yibo Cai created ARROW-10304:
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             Summary: [C++][Compute] Optimize variance kernel for integers
                 Key: ARROW-10304
                 URL: https://issues.apache.org/jira/browse/ARROW-10304
             Project: Apache Arrow
          Issue Type: Improvement
          Components: C++
            Reporter: Yibo Cai
            Assignee: Yibo Cai


Current variance kernel converts all data type to `double` before calculation. 
It's sub-optimal for integers. Integer arithmetic is much faster than floating 
points, e.g., summation is 4x faster [1].

A quick test for calculating int32 variance shows up to 3x performance gain. 
Another benefit is that integer arithmetic is accurate.

[1] https://quick-bench.com/q/_Sz-Peq1MNWYwZYrTtQDx3GI7lQ



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