Best way to make Java’s modulus behave like it should with negative numbers?

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It behaves as it should a % b = a – a / b * b; i.e. it’s the remainder.

You can do (a % b + b) % b

This expression works as the result of (a % b) is necessarily lower than b, no matter if a is positive or negative. Adding b takes care of the negative values of a, since (a % b) is a negative value between -b and 0, (a % b + b) is necessarily lower than b and positive. The last modulo is there in case a was positive to begin with, since if a is positive (a % b + b) would become larger than b. Therefore, (a % b + b) % b turns it into smaller than b again (and doesn’t affect negative a values).

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