fornwall opened a new issue, #51311:
URL: https://github.com/apache/arrow/issues/51311

   ### Describe the enhancement requested
   
   `FloatingPointTypes()` currently contains only `float32()` and `float64()`, 
so `float16` is also absent from `NumericTypes()` and `PrimitiveTypes()`.
   
   As a result, every kernel registration loop and test suite that iterates 
over those lists skips `float16`, and support for it has to be added type by 
type instead. Several kernel families explicitly reject `HalfFloatType` with 
`Status::NotImplemented` today.
   
   `float16` should probably be a member of `FloatingPointTypes()`, consistent 
with the other floating point types.
   
   ### Component(s)
   
   C++


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