Just as in title. Is suspect it is, but I couldn’t find it anywhere explicitly stated. And for this property I wouldn’t like to rely on speculations.
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If you use the multithreaded version of the CRT, all functions are thread safe, because any thread-specific information is stored in TLS. rand_s actually doesn’t use state information in the first place, since it just calls an OS API, so question of thread-safety doesn’t arise for rand_s. rand(), however depends on a seed value to generate a random number.