4 ms·

8mb per thread is just constant overhead.

• leif 15y ago
  constant in the number of elements, sub-constant in the size of the input
  • JadeNB 15y ago
    I think maybe it's been too long since I last did analysis of algorithms … the only sensible meaning that I can assign to 'sub-constant' is that the contribution tends to `0` as the input grows; but it seems to me that `8 mb/thread * ≥ 1 thread` is certainly `Ω(1)`. (Or maybe I just missed a dry joke?)
    • leif 15y ago
      8 MB is constant, but the number of bits in the input grows like log of the largest input value, so the 8mb overhead contribution goes down as the input grows. Of course, the kernel isn't going to support more than 64 bits of sleep times any time soon, so it's okay if you want to say it's constant. ;-)
      • JadeNB 15y ago
        I'm sorry … surely that just means that the relative overhead tends to `0`, which one should express by saying that the absolute overhead is sub-linear (constant, in this case)?
        • leif 15y ago
          the absolute overhead is linear in the number of elements, sub-linear in the size of input