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https://issues.apache.org/jira/browse/ARROW-18334?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=17634553#comment-17634553
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Weston Pace commented on ARROW-18334:
-------------------------------------

Example output type resolver (from [~bkietz]):

{noformat}
Result<TypeHolder> FirstTimestampType(KernelContext*, const 
std::vector<TypeHolder>& types) {
  for (const auto& type : types) {
    if (type.id() == Type::TIMESTAMP) return type;
  }
  return Status::Invalid("no timestamp type found");
}
{noformat}

> add function for timestamp/duration is not commutative
> ------------------------------------------------------
>
>                 Key: ARROW-18334
>                 URL: https://issues.apache.org/jira/browse/ARROW-18334
>             Project: Apache Arrow
>          Issue Type: Bug
>          Components: C++
>            Reporter: Weston Pace
>            Priority: Major
>
> The expression simplification currently has a small set of functions which it 
> knows are commutative (IsBinaryAssociativeCommutative).  "add" (and 
> "add_checked" are in this list.  This should be ok for 
> add(timestamp,duration) since this boils down to add(int64,int64) which is 
> commutative.  However, the way the kernels are currently implemented, we are 
> getting the incorrect output type.
> Concretely, we have kernels:
> {noformat}
> add_checked<Timestamp,Duration>() -> types[0]
> add_checked<Duration,Timestamp>() -> types[1]
> {noformat}
> A call is made with expression {{field_ref("x") + duration_literal}}.  This 
> call is bound to {{add_checked<Timestamp, Duration>}}.  However, the 
> expression is then simplified to {{duration_literal + field_ref("x")}}.  
> Oddly enough, the math in this case is correct, since it is just addition, 
> but the output type is not.  It assigns an output type of duration instead of 
> timestamp.



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