Analysis of lock safety in a function with two mutexes

Conduct a review of the calculation function, which involves two std::mutex objects.

1. Assess how correctly the synchronization is implemented.
2. Identify the risk of deadlock.
3. Propose a reliable method for acquiring multiple mutexes simultaneously.

void calculation(std::mutex& mxA, std::mutex& mxB, const std::vector<int>& input) {
    std::lock_guard<std::mutex> lock1(mxA);
    std::lock_guard<std::mutex> lock2(mxB);

    // data processing
}