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https://issues.apache.org/jira/browse/ARROW-9022?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=17124992#comment-17124992
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Krisztian Szucs commented on ARROW-9022:
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It's not trivial which behaviour to choose. We may introduce options for the 
arithmetic kernels to select the right one.  

> [C++][Compute] Make Add function safe for numeric limits
> --------------------------------------------------------
>
>                 Key: ARROW-9022
>                 URL: https://issues.apache.org/jira/browse/ARROW-9022
>             Project: Apache Arrow
>          Issue Type: Improvement
>          Components: C++
>            Reporter: Krisztian Szucs
>            Assignee: Krisztian Szucs
>            Priority: Major
>              Labels: pull-request-available
>             Fix For: 1.0.0
>
>          Time Spent: 50m
>  Remaining Estimate: 0h
>
> Currently the output type of the Add function is identical with the argument 
> types which makes it unsafe to add numeric limit values, so instead of using 
> {{(int8, int8) -> int8}} signature we should use {{((int8, int8) -> int16}}.



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