Arithmetic overflow from (minBound :: Int) `quot` (-1)
According to the documentation for Data.Int, “All arithmetic is performed modulo 2!\^n, where n is the number of bits in the type.”
However, this promise is broken by the following exception:
```
Prelude> (minBound :: Int) `quot` (-1)
*** Exception: arithmetic overflow
```
(This also occurs with Int8, Int16, Int32, and Int64, and likewise for `div`.)
If all arithmetic is performed modulo 2!\^n, I would rather expect the above to evaluate to `minBound`, since after all `minBound * (-1) == minBound`. The fact that an exception is raised adds an unnecessary burden in pure code to ensure `quot` (or `div`) is never called with these specific arguments.
<details><summary>Trac metadata</summary>
| Trac field | Value |
| ---------------------- | ------------------------ |
| Version | 7.6.3 |
| Type | Bug |
| TypeOfFailure | IncorrectResultAtRuntime |
| Priority | normal |
| Resolution | Unresolved |
| Component | libraries/haskell2010 |
| Test case | |
| Differential revisions | |
| BlockedBy | |
| Related | |
| Blocking | |
| CC | |
| Operating system | |
| Architecture | |
</details>
<!-- {"blocked_by":[],"summary":"Arithmetic overflow from (minBound :: Int) `quot` (-1)","status":"New","operating_system":"","component":"libraries/haskell2010","related":[],"milestone":"","resolution":"Unresolved","owner":{"tag":"Unowned"},"version":"7.6.3","keywords":[],"differentials":[],"test_case":"","architecture":"","cc":[""],"type":"Bug","description":"According to the documentation for Data.Int, “All arithmetic is performed modulo 2!^n, where n is the number of bits in the type.”\r\n\r\nHowever, this promise is broken by the following exception:\r\n\r\n{{{\r\nPrelude> (minBound :: Int) `quot` (-1)\r\n*** Exception: arithmetic overflow\r\n}}}\r\n\r\n(This also occurs with Int8, Int16, Int32, and Int64, and likewise for `div`.)\r\n\r\nIf all arithmetic is performed modulo 2!^n, I would rather expect the above to evaluate to `minBound`, since after all `minBound * (-1) == minBound`. The fact that an exception is raised adds an unnecessary burden in pure code to ensure `quot` (or `div`) is never called with these specific arguments.","type_of_failure":"IncorrectResultAtRuntime","blocking":[]} -->
issue