On Sunday, 26 June 2016 at 05:44:53 UTC, deadalnix wrote:
Except for mathematica, these are all irrelevant. The claim is that programming languages and CPU define % in some way, not that mathematician do it the same way.

Well, the CPU does not define it. It is just that C botchered it by leaving "%" implementation defined up til 1999, where they went with the truncated reminder and not the floored modulo operator. In system level programming you usually need the modulo (reminder for floored division) and not the C-style reminder (reminder from truncated division):

https://en.wikipedia.org/wiki/Modulo_operation

Interestingly Simula, Ada, Fortran, Common Lisp and other high level languages provids both "rem(x,y)" and "mod(x,y)", which is the right thing to do.

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