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.

The current kernels do wrap around for performance reasons, so implement different kernels with overflow checking and add arithmetics options to let the caller choose which variant to run

Reporter: Krisztian Szucs / @kszucs
Assignee: Krisztian Szucs / @kszucs

Related issues:

• [R] Add bindings for arithmetic kernels (is depended upon by)

PRs and other links:

• GitHub Pull Request #7341
• GitHub Pull Request #7420

_{Note: This issue was originally created as ARROW-9022. Please see the migration documentation for further details.}