viirya commented on issue #6278:
URL: 
https://github.com/apache/arrow-datafusion/issues/6278#issuecomment-1540476554

   > I think the major problem is that the `i256` math operation is not 
efficient.
   
   As I mentioned above 
(https://github.com/apache/arrow-datafusion/issues/6278#issuecomment-1539232844),
 `divide_and_round` spent too much time on i256 operations, especially 
`wrapping_div` and `wrapping_rem`. We currently round back to BigInt for these 
math operations which are slow.
   
   > And the logic in the method `multiply_fixed_point()` in arrow-rs is not 
consistent.
   > 
   > `If required_scale == product_scale`, it still uses `i128` for 
multiply(can still overflow) `if product_scale > required_scale`, use `i256` 
for multiply and div, why ??
   
   It is not consistent. It is for allowing precision-loss decimal 
multiplication. Our kernels basically allow overflow.
   
   If `required_scale` equals to `product_scale`, it won't lose precision, so 
we can use i128. If `product_scale` is larger than `required_scale`, the 
multiplication will lose precision, we need to multiply in i256 and divide the 
result to get the result with less precision.
   
   


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