Understanding Modulo Operator's Behavior with Negative Values in C-Like Languages

The modulo operator (%) in C-derived languages, such as C, C , and Obj-C, can lead to unexpected results when working with negative numbers. This can be frustrating, especially for those with a mathematical background. In this discussion, we'll delve into the issue and explore solutions for handling negative values in the modulo operation.

One key aspect to keep in mind is that the modulo operation reflects the remainder after integer division. However, for negative numbers, the sign of the remainder is implementation-defined, as per the C standard. This inconsistency can result in surprising outputs, such as (-1) % 8 returning -1 instead of the expected 7.

To address this challenge, we can leverage the following approach:

int mod(int a, int b) {
   if (b 
This solution accommodates both positive and negative operands. It ensures that the remainder is always positive by adding the divisor if the remainder is negative. As a result, mod(-1, 8) will return 7, while mod(13, -8) will return -3, providing a consistent and intuitive behavior.