实现以下目标最有效的算法是什么:

0010 0000 => 0000 0100

从MSB->LSB转换为LSB->MSB。所有位都必须反转;也就是说,这不是字节交换。


当前回答

这个线程引起了我的注意,因为它处理了一个简单的问题,即使对于现代CPU也需要大量的工作(CPU周期)。有一天我也站在那里,有同样的¤#%“#”问题。我得翻几百万字节。然而,我知道我所有的目标系统都是基于现代英特尔的,所以让我们开始优化到极致!!

所以我使用了Matt J的查找代码作为基础。我正在基准测试的系统是i7 haswell 4700eq。

Matt J的查找位翻转400亿字节:大约0.272秒。

然后我继续尝试,看看英特尔的ISPC编译器是否可以向量化反向的算术。c。

我不打算在这里用我的发现来烦你,因为我尝试了很多来帮助编译器找到东西,无论如何,我最终得到了大约0.15秒的性能来bitflip 400亿字节。这是一个伟大的减少,但对于我的应用程序,这仍然是方式方式太慢。

所以人们让我展示世界上最快的基于英特尔的bitflipper。定时:

时间到bitflip 400000000字节:0.050082秒!!!!!

// Bitflip using AVX2 - The fastest Intel based bitflip in the world!!
// Made by Anders Cedronius 2014 (anders.cedronius (you know what) gmail.com)

#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <omp.h>

using namespace std;

#define DISPLAY_HEIGHT  4
#define DISPLAY_WIDTH   32
#define NUM_DATA_BYTES  400000000

// Constants (first we got the mask, then the high order nibble look up table and last we got the low order nibble lookup table)
__attribute__ ((aligned(32))) static unsigned char k1[32*3]={
        0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,
        0x00,0x08,0x04,0x0c,0x02,0x0a,0x06,0x0e,0x01,0x09,0x05,0x0d,0x03,0x0b,0x07,0x0f,0x00,0x08,0x04,0x0c,0x02,0x0a,0x06,0x0e,0x01,0x09,0x05,0x0d,0x03,0x0b,0x07,0x0f,
        0x00,0x80,0x40,0xc0,0x20,0xa0,0x60,0xe0,0x10,0x90,0x50,0xd0,0x30,0xb0,0x70,0xf0,0x00,0x80,0x40,0xc0,0x20,0xa0,0x60,0xe0,0x10,0x90,0x50,0xd0,0x30,0xb0,0x70,0xf0
};

// The data to be bitflipped (+32 to avoid the quantization out of memory problem)
__attribute__ ((aligned(32))) static unsigned char data[NUM_DATA_BYTES+32]={};

extern "C" {
void bitflipbyte(unsigned char[],unsigned int,unsigned char[]);
}

int main()
{

    for(unsigned int i = 0; i < NUM_DATA_BYTES; i++)
    {
        data[i] = rand();
    }

    printf ("\r\nData in(start):\r\n");
    for (unsigned int j = 0; j < 4; j++)
    {
        for (unsigned int i = 0; i < DISPLAY_WIDTH; i++)
        {
            printf ("0x%02x,",data[i+(j*DISPLAY_WIDTH)]);
        }
        printf ("\r\n");
    }

    printf ("\r\nNumber of 32-byte chunks to convert: %d\r\n",(unsigned int)ceil(NUM_DATA_BYTES/32.0));

    double start_time = omp_get_wtime();
    bitflipbyte(data,(unsigned int)ceil(NUM_DATA_BYTES/32.0),k1);
    double end_time = omp_get_wtime();

    printf ("\r\nData out:\r\n");
    for (unsigned int j = 0; j < 4; j++)
    {
        for (unsigned int i = 0; i < DISPLAY_WIDTH; i++)
        {
            printf ("0x%02x,",data[i+(j*DISPLAY_WIDTH)]);
        }
        printf ("\r\n");
    }
    printf("\r\n\r\nTime to bitflip %d bytes: %f seconds\r\n\r\n",NUM_DATA_BYTES, end_time-start_time);

    // return with no errors
    return 0;
}

printf是用来调试的。

这是主要的工作:

bits 64
global bitflipbyte

bitflipbyte:    
        vmovdqa     ymm2, [rdx]
        add         rdx, 20h
        vmovdqa     ymm3, [rdx]
        add         rdx, 20h
        vmovdqa     ymm4, [rdx]
bitflipp_loop:
        vmovdqa     ymm0, [rdi] 
        vpand       ymm1, ymm2, ymm0 
        vpandn      ymm0, ymm2, ymm0 
        vpsrld      ymm0, ymm0, 4h 
        vpshufb     ymm1, ymm4, ymm1 
        vpshufb     ymm0, ymm3, ymm0         
        vpor        ymm0, ymm0, ymm1
        vmovdqa     [rdi], ymm0
        add     rdi, 20h
        dec     rsi
        jnz     bitflipp_loop
        ret

代码占用32个字节,然后屏蔽掉蚕食。高啃角右移了4。然后使用vpshufb和ymm4 / ymm3作为查找表。我可以使用一个单独的查找表,但我将不得不在ORing再次一起啃啃之前向左移动。

还有更快的翻转比特的方法。但我被绑定到单线程和CPU,所以这是我能实现的最快速度。你能做一个快一点的版本吗?

关于使用Intel C/ c++编译器内在等效命令,请不要发表任何评论…

其他回答

原生ARM指令“rbit”可以用1个cpu周期和1个额外的cpu寄存器来完成,不可能被击败。

这个线程引起了我的注意,因为它处理了一个简单的问题,即使对于现代CPU也需要大量的工作(CPU周期)。有一天我也站在那里,有同样的¤#%“#”问题。我得翻几百万字节。然而,我知道我所有的目标系统都是基于现代英特尔的,所以让我们开始优化到极致!!

所以我使用了Matt J的查找代码作为基础。我正在基准测试的系统是i7 haswell 4700eq。

Matt J的查找位翻转400亿字节:大约0.272秒。

然后我继续尝试,看看英特尔的ISPC编译器是否可以向量化反向的算术。c。

我不打算在这里用我的发现来烦你,因为我尝试了很多来帮助编译器找到东西,无论如何,我最终得到了大约0.15秒的性能来bitflip 400亿字节。这是一个伟大的减少,但对于我的应用程序,这仍然是方式方式太慢。

所以人们让我展示世界上最快的基于英特尔的bitflipper。定时:

时间到bitflip 400000000字节:0.050082秒!!!!!

// Bitflip using AVX2 - The fastest Intel based bitflip in the world!!
// Made by Anders Cedronius 2014 (anders.cedronius (you know what) gmail.com)

#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <omp.h>

using namespace std;

#define DISPLAY_HEIGHT  4
#define DISPLAY_WIDTH   32
#define NUM_DATA_BYTES  400000000

// Constants (first we got the mask, then the high order nibble look up table and last we got the low order nibble lookup table)
__attribute__ ((aligned(32))) static unsigned char k1[32*3]={
        0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,0x0f,
        0x00,0x08,0x04,0x0c,0x02,0x0a,0x06,0x0e,0x01,0x09,0x05,0x0d,0x03,0x0b,0x07,0x0f,0x00,0x08,0x04,0x0c,0x02,0x0a,0x06,0x0e,0x01,0x09,0x05,0x0d,0x03,0x0b,0x07,0x0f,
        0x00,0x80,0x40,0xc0,0x20,0xa0,0x60,0xe0,0x10,0x90,0x50,0xd0,0x30,0xb0,0x70,0xf0,0x00,0x80,0x40,0xc0,0x20,0xa0,0x60,0xe0,0x10,0x90,0x50,0xd0,0x30,0xb0,0x70,0xf0
};

// The data to be bitflipped (+32 to avoid the quantization out of memory problem)
__attribute__ ((aligned(32))) static unsigned char data[NUM_DATA_BYTES+32]={};

extern "C" {
void bitflipbyte(unsigned char[],unsigned int,unsigned char[]);
}

int main()
{

    for(unsigned int i = 0; i < NUM_DATA_BYTES; i++)
    {
        data[i] = rand();
    }

    printf ("\r\nData in(start):\r\n");
    for (unsigned int j = 0; j < 4; j++)
    {
        for (unsigned int i = 0; i < DISPLAY_WIDTH; i++)
        {
            printf ("0x%02x,",data[i+(j*DISPLAY_WIDTH)]);
        }
        printf ("\r\n");
    }

    printf ("\r\nNumber of 32-byte chunks to convert: %d\r\n",(unsigned int)ceil(NUM_DATA_BYTES/32.0));

    double start_time = omp_get_wtime();
    bitflipbyte(data,(unsigned int)ceil(NUM_DATA_BYTES/32.0),k1);
    double end_time = omp_get_wtime();

    printf ("\r\nData out:\r\n");
    for (unsigned int j = 0; j < 4; j++)
    {
        for (unsigned int i = 0; i < DISPLAY_WIDTH; i++)
        {
            printf ("0x%02x,",data[i+(j*DISPLAY_WIDTH)]);
        }
        printf ("\r\n");
    }
    printf("\r\n\r\nTime to bitflip %d bytes: %f seconds\r\n\r\n",NUM_DATA_BYTES, end_time-start_time);

    // return with no errors
    return 0;
}

printf是用来调试的。

这是主要的工作:

bits 64
global bitflipbyte

bitflipbyte:    
        vmovdqa     ymm2, [rdx]
        add         rdx, 20h
        vmovdqa     ymm3, [rdx]
        add         rdx, 20h
        vmovdqa     ymm4, [rdx]
bitflipp_loop:
        vmovdqa     ymm0, [rdi] 
        vpand       ymm1, ymm2, ymm0 
        vpandn      ymm0, ymm2, ymm0 
        vpsrld      ymm0, ymm0, 4h 
        vpshufb     ymm1, ymm4, ymm1 
        vpshufb     ymm0, ymm3, ymm0         
        vpor        ymm0, ymm0, ymm1
        vmovdqa     [rdi], ymm0
        add     rdi, 20h
        dec     rsi
        jnz     bitflipp_loop
        ret

代码占用32个字节,然后屏蔽掉蚕食。高啃角右移了4。然后使用vpshufb和ymm4 / ymm3作为查找表。我可以使用一个单独的查找表,但我将不得不在ORing再次一起啃啃之前向左移动。

还有更快的翻转比特的方法。但我被绑定到单线程和CPU,所以这是我能实现的最快速度。你能做一个快一点的版本吗?

关于使用Intel C/ c++编译器内在等效命令,请不要发表任何评论…

对于喜欢递归的人来说,这是另一个解决方案。

这个想法很简单。 将输入除以一半并交换两部分,继续直到达到单个位。

Illustrated in the example below.

Ex : If Input is 00101010   ==> Expected output is 01010100

1. Divide the input into 2 halves 
    0010 --- 1010

2. Swap the 2 Halves
    1010     0010

3. Repeat the same for each half.
    10 -- 10 ---  00 -- 10
    10    10      10    00

    1-0 -- 1-0 --- 1-0 -- 0-0
    0 1    0 1     0 1    0 0

Done! Output is 01010100

这里有一个递归函数来求解。(注意,我使用了unsigned int,所以它可以用于sizeof(unsigned int)*8位的输入。

递归函数有两个参数-需要位的值 要反转的值和值中的比特数。

int reverse_bits_recursive(unsigned int num, unsigned int numBits)
{
    unsigned int reversedNum;;
    unsigned int mask = 0;

    mask = (0x1 << (numBits/2)) - 1;

    if (numBits == 1) return num;
    reversedNum = reverse_bits_recursive(num >> numBits/2, numBits/2) |
                   reverse_bits_recursive((num & mask), numBits/2) << numBits/2;
    return reversedNum;
}

int main()
{
    unsigned int reversedNum;
    unsigned int num;

    num = 0x55;
    reversedNum = reverse_bits_recursive(num, 8);
    printf ("Bit Reversal Input = 0x%x Output = 0x%x\n", num, reversedNum);

    num = 0xabcd;
    reversedNum = reverse_bits_recursive(num, 16);
    printf ("Bit Reversal Input = 0x%x Output = 0x%x\n", num, reversedNum);

    num = 0x123456;
    reversedNum = reverse_bits_recursive(num, 24);
    printf ("Bit Reversal Input = 0x%x Output = 0x%x\n", num, reversedNum);

    num = 0x11223344;
    reversedNum = reverse_bits_recursive(num,32);
    printf ("Bit Reversal Input = 0x%x Output = 0x%x\n", num, reversedNum);
}

输出如下:

Bit Reversal Input = 0x55 Output = 0xaa
Bit Reversal Input = 0xabcd Output = 0xb3d5
Bit Reversal Input = 0x123456 Output = 0x651690
Bit Reversal Input = 0x11223344 Output = 0x22cc4488

通用的

C代码。以1字节输入数据num为例。

    unsigned char num = 0xaa;   // 1010 1010 (aa) -> 0101 0101 (55)
    int s = sizeof(num) * 8;    // get number of bits
    int i, x, y, p;
    int var = 0;                // make var data type to be equal or larger than num

    for (i = 0; i < (s / 2); i++) {
        // extract bit on the left, from MSB
        p = s - i - 1;
        x = num & (1 << p);
        x = x >> p;
        printf("x: %d\n", x);

        // extract bit on the right, from LSB
        y = num & (1 << i);
        y = y >> i;
        printf("y: %d\n", y);

        var = var | (x << i);       // apply x
        var = var | (y << p);       // apply y
    }

    printf("new: 0x%x\n", new);

当然,玩弄比特的黑客的明显来源是: http://graphics.stanford.edu/~seander/bithacks.html#BitReverseObvious