Don wrote:
Close, but that's technically not true in the case where abs(a/b) > long.max. (The integer doesn't have to fit into a 'long').

In IEEE754, r= a % b is defined by the mathematical relation r = a – b * n , where n is the integer nearest the exact number a/b ; whenever abs( n – a/b) = 0.5 , then n is even. If r == 0 , its sign is the same as a.

I hope you don't mind if I cut & paste this into the spec pages!

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