IEEE specification requires the sign of the remainder is the same as numerator in case remainder is zero.

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`mod` is not bound to the IEEE 754 remainder operation. It binds the C `fmod` operation. You're looking for the `remainder` operation.

However, `fmod` has the same requirement: "The fmod functions return the value x − ny, for some integer n such that, if y is nonzero, the result has the same sign as x and magnitude less than the magnitude of y."