Rounding Numbers Up to the Nearest Multiple in C
Rounding numbers up to the nearest multiple is a fundamental operation in programming. In C , it can be achieved using straightforward integer math.
Simple Rounding Up Algorithm
The initial algorithm checks for a multiple of 0, returning the original number in that case. Otherwise, it calculates the rounded-down value and adds the multiple to it. This approach, however, only works for positive numbers.
Improved Rounding Algorithm
To address the issue of negative numbers, a more robust algorithm is required. This improved version utilizes the absolute value of the number and ensures that the rounded result is always greater than or equal to the input.
Implementation:
int roundUp(int numToRound, int multiple) { if (multiple == 0) return numToRound; int remainder = abs(numToRound) % multiple; if (remainder == 0) return numToRound; if (numToRound < 0) return -(abs(numToRound) - remainder); else return numToRound + multiple - remainder; }
This algorithm handles both positive and negative numbers correctly, providing the expected rounded-up values as specified in the examples provided.
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