代表数字7的8位像这样:
00000111
设置了三个比特。
确定32位整数中设置位数的算法是什么?
代表数字7的8位像这样:
00000111
设置了三个比特。
确定32位整数中设置位数的算法是什么?
当前回答
我给出了两个算法来回答这个问题,
package countSetBitsInAnInteger;
import java.util.Scanner;
public class UsingLoop {
public static void main(String[] args) {
Scanner in = new Scanner(System.in);
try {
System.out.println("Enter a integer number to check for set bits in it");
int n = in.nextInt();
System.out.println("Using while loop, we get the number of set bits as: " + usingLoop(n));
System.out.println("Using Brain Kernighan's Algorithm, we get the number of set bits as: " + usingBrainKernighan(n));
System.out.println("Using ");
}
finally {
in.close();
}
}
private static int usingBrainKernighan(int n) {
int count = 0;
while(n > 0) {
n& = (n-1);
count++;
}
return count;
}
/*
Analysis:
Time complexity = O(lgn)
Space complexity = O(1)
*/
private static int usingLoop(int n) {
int count = 0;
for(int i=0; i<32; i++) {
if((n&(1 << i)) != 0)
count++;
}
return count;
}
/*
Analysis:
Time Complexity = O(32) // Maybe the complexity is O(lgn)
Space Complexity = O(1)
*/
}
其他回答
下面是示例代码,可能很有用。
private static final int[] bitCountArr = new int[]{0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7, 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8};
private static final int firstByteFF = 255;
public static final int getCountOfSetBits(int value){
int count = 0;
for(int i=0;i<4;i++){
if(value == 0) break;
count += bitCountArr[value & firstByteFF];
value >>>= 8;
}
return count;
}
一个快速的c#解决方案,使用预先计算的字节位计数表,并根据输入大小进行分支。
public static class BitCount
{
public static uint GetSetBitsCount(uint n)
{
var counts = BYTE_BIT_COUNTS;
return n <= 0xff ? counts[n]
: n <= 0xffff ? counts[n & 0xff] + counts[n >> 8]
: n <= 0xffffff ? counts[n & 0xff] + counts[(n >> 8) & 0xff] + counts[(n >> 16) & 0xff]
: counts[n & 0xff] + counts[(n >> 8) & 0xff] + counts[(n >> 16) & 0xff] + counts[(n >> 24) & 0xff];
}
public static readonly uint[] BYTE_BIT_COUNTS =
{
0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4,
1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8
};
}
对于JavaScript,你可以使用一个查找表来计算一个32位值的设置位的数量(这段代码可以很容易地翻译成C语言)。此外,添加了8位和16位版本,以供通过网络搜索查找的人使用。
const COUNT_BITS_TABLE = makeLookupTable() function makeLookupTable() { const table = new Uint8Array(256) for (let i = 0; i < 256; i++) { table[i] = (i & 1) + table[(i / 2) | 0]; } return table } function countOneBits32(n) { return COUNT_BITS_TABLE[n & 0xff] + COUNT_BITS_TABLE[(n >> 8) & 0xff] + COUNT_BITS_TABLE[(n >> 16) & 0xff] + COUNT_BITS_TABLE[(n >> 24) & 0xff]; } function countOneBits16(n) { return COUNT_BITS_TABLE[n & 0xff] + COUNT_BITS_TABLE[(n >> 8) & 0xff] } function countOneBits8(n) { return COUNT_BITS_TABLE[n & 0xff] } console.log('countOneBits32', countOneBits32(0b10101010000000001010101000000000)) console.log('countOneBits32', countOneBits32(0b10101011110000001010101000000000)) console.log('countOneBits16', countOneBits16(0b1010101000000000)) console.log('countOneBits8', countOneBits8(0b10000010))
我个人使用这个:
public static int myBitCount(long L){
int count = 0;
while (L != 0) {
count++;
L ^= L & -L;
}
return count;
}
如果您恰好使用Java,则内置方法Integer。bitCount会这样做。