Complexity of strncmp in string.h

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I would like to know the time complexity of int strncmp(const char *__s1, const char *__s2, size_t __n) which is in the C library(string.h).

I have to study the complexity of my whole program which is calling strncmp thousands of time, I can't ignore this complexity.
Where can I find documentation about the complexity of c library function ?

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klutt On BEST ANSWER

The standard imposes no requirements on the complexity. That is entirely up to the implementation. But there's absolutely no reason to expect it to be anything else than O(__n)

  • It's trivial to write an implementation that satisfies O(__n), so there's no reason to suspect that a real implementation made by professionals is worse.

  • It's impossible to write an implementation that is better than O(__n), so that will not happen.

But if you want to be sure, you have to study the particular implementation you're using.