What is the fastest way to count set bits in UInt32

主宰稳场 提交于 2019-11-28 09:26:26
Manuel Amstutz

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;
    }

The bit-twiddling hacks page has a number of options.

Of course, you could argue that iterating over all 32 possible bits is O(N) in that it's the same cost every time :)

For simplicity, I'd consider the lookup-table-per-byte approach, or Brian Kernighan's neat idea which iterates as many times as there are bits set, which I'd write as:

public static int CountBits(uint value)
{
    int count = 0;
    while (value != 0)
    {
        count++;
        value &= value - 1;
    }
    return count;
}

If you don't like the idea of populating a 256-entry lookup table, a lookup-per-nybble would still be pretty fast. Mind you, it's possible that 8 array lookups might be slower than 32 simple bit operations.

Of course, it's worth testing your app's real performance before going to particularly esoteric approaches... is this really a bottleneck for you?

Here is the solution in java to get the set bits of a given number.

import java.util.*;

public class HelloWorld {

static int setBits(int n) {
    int count = 0;
    while(n != 0) {
        count+= ((n & 1) == 1) ? 1 : 0;
        n >>= 1;

    }
    return count;
}

 public static void main(String []args){
     Scanner sc = new Scanner(System.in);
     int n = sc.nextInt();
     System.out.println("Results: " + HelloWorld.setBits(n)); 
 }
}
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