What is the fastest way to count set bits in UInt32

user1437139 picture user1437139 · Aug 29, 2012 · Viewed 18.8k times · Source

What is the fastest way to count the number of set bits (i.e. count the number of 1s) in an UInt32 without the use of a look up table? Is there a way to count in O(1)?

Answer

Manuel Amstutz picture Manuel Amstutz · Aug 29, 2012

Is a duplicate of: how-to-implement-bitcount-using-only-bitwise-operators or best-algorithm-to-count-the-number-of-set-bits-in-a-32-bit-integer

And there are many solutions for that problem. The one I use is:

    int NumberOfSetBits(int i)
    {
        i = i - ((i >> 1) & 0x55555555);
        i = (i & 0x33333333) + ((i >> 2) & 0x33333333);
        return (((i + (i >> 4)) & 0x0F0F0F0F) * 0x01010101) >> 24;
    }