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C 整数的位反转,忽略整数大小和尾数_C_Integer_Bit Manipulation - Fatal编程技术网

C 整数的位反转,忽略整数大小和尾数

C 整数的位反转,忽略整数大小和尾数,c,integer,bit-manipulation,C,Integer,Bit Manipulation,给定一个整数typedef: typedef unsigned int TYPE; 或 我有以下代码来反转整数的位: TYPE max_bit= (TYPE)-1; void reverse_int_setup() { TYPE bits= (TYPE)max_bit; while (bits <<= 1) max_bit= bits; } TYPE reverse_int(TYPE arg) { TYPE bit_setter=

给定一个整数typedef:

typedef unsigned int TYPE;

我有以下代码来反转整数的位:

TYPE max_bit= (TYPE)-1;

void reverse_int_setup()
{
    TYPE bits= (TYPE)max_bit;

    while (bits <<= 1)
        max_bit= bits;
}

TYPE reverse_int(TYPE arg)
{
    TYPE    bit_setter= 1, bit_tester= max_bit, result= 0;

    for (result= 0; bit_tester; bit_tester>>= 1, bit_setter<<= 1)
        if (arg & bit_tester)
            result|= bit_setter;
    return result;
}
TYPE max_bit=(TYPE)-1;
无效反向输入设置()
{
类型位=(类型)最大\u位;
而(位=1,位设置器如何:

long temp = 0;
int counter = 0;
int number_of_bits = sizeof(value) * 8; // get the number of bits that represent value (assuming that it is aligned to a byte boundary)

while(value > 0)            // loop until value is empty
{
    temp <<= 1;             // shift whatever was in temp left to create room for the next bit
    temp |= (value & 0x01); // get the lsb from value and set as lsb in temp
    value >>= 1;            // shift value right by one to look at next lsb

    counter++;
}

value = temp;

if (counter < number_of_bits)
{
    value <<= counter-number_of_bits;
}

您的选择

我们可以将反转所有可能的1字节序列的结果存储在一个数组中(256个不同的条目),然后结合使用此表的查找和一些ORG逻辑来获得整数的倒数。

下面的程序用于演示一种更精简的位倒数算法,该算法可以轻松扩展到处理64位数字

#include <stdio.h>
#include <stdint.h>
int main(int argc, char**argv)
{
        int32_t x;
        if ( argc != 2 ) 
        {
                printf("Usage: %s hexadecimal\n", argv[0]);
                return 1;
        }

        sscanf(argv[1],"%x", &x);
        /* swap every neigbouring bit */
        x = (x&0xAAAAAAAA)>>1 | (x&0x55555555)<<1;
        /* swap every 2 neighbouring bits */
        x = (x&0xCCCCCCCC)>>2 | (x&0x33333333)<<2;
        /* swap every 4 neighbouring bits */
        x = (x&0xF0F0F0F0)>>4 | (x&0x0F0F0F0F)<<4;
        /* swap every 8 neighbouring bits */
        x = (x&0xFF00FF00)>>8 | (x&0x00FF00FF)<<8;
        /* and so forth, for say, 32 bit int */
        x = (x&0xFFFF0000)>>16 | (x&0x0000FFFF)<<16;
        printf("0x%x\n",x);
        return 0;
}
#包括
#包括
int main(int argc,字符**argv)
{
int32_t x;
如果(argc!=2)
{
printf(“用法:%s十六进制\n”,argv[0]);
返回1;
}
sscanf(argv[1]、“%x”、&x);
/*交换每一个相邻的位*/
x=(x&0xaaaaaa)>>1 |(x&0x555555)2 |(x&0x33333333)4 |(x&0x0F0F0F0F)8 |(x&0x00FF00FF)16 |(x&0x0000FFFF)
typedef无符号长型;
类型反转器(类型n)
{
类型k=1,nrev=0,i,nrevbit1,nrevbit2;
整数计数;
对于(i=0;!i | |(1
#包括
#包括
#定义类型\位大小(类型)*字符\位
typedef无符号长类型;
类型反转器(类型n)
{
类型nrev=0,i,位1,位2;
整数计数;
对于(i=0;ibit1=n&(1这里是对TK的解决方案的一个变化和修正,它可能比sundar的解决方案更清晰。它从t中提取单个位,并将它们推入返回值:

typedef unsigned long TYPE;
#define TYPE_BITS sizeof(TYPE)*8

TYPE reverser(TYPE t)
{
    unsigned int i;
    TYPE return_val = 0
    for(i = 0; i < TYPE_BITS; i++)
    {/*foreach bit in TYPE*/
        /* shift the value of return_val to the left and add the rightmost bit from t */
        return_val = (return_val << 1) + (t & 1);
        /* shift off the rightmost bit of t */
        t = t >> 1;
    }
    return(return_val);
}
typedef无符号长类型;
#定义类型\u位大小(类型)*8
类型反转器(t型)
{
无符号整数i;
类型return\u val=0
对于(i=0;i1;
}
返回(返回值);
}
@tΖΖΖΖΥ

作为对ΖΖΖΖΖΖΖΖΥ的评论的回复,我给出了上面的修改版本,它取决于位宽度的上限

#include <stdio.h>
#include <stdint.h>
typedef int32_t TYPE;
TYPE reverse(TYPE x, int bits)
{
    TYPE m=~0;
    switch(bits)
    {
        case 64:
            x = (x&0xFFFFFFFF00000000&m)>>16 | (x&0x00000000FFFFFFFF&m)<<16;
        case 32:
            x = (x&0xFFFF0000FFFF0000&m)>>16 | (x&0x0000FFFF0000FFFF&m)<<16;
        case 16:
            x = (x&0xFF00FF00FF00FF00&m)>>8 | (x&0x00FF00FF00FF00FF&m)<<8;
        case 8:
            x = (x&0xF0F0F0F0F0F0F0F0&m)>>4 | (x&0x0F0F0F0F0F0F0F0F&m)<<4;
            x = (x&0xCCCCCCCCCCCCCCCC&m)>>2 | (x&0x3333333333333333&m)<<2;
            x = (x&0xAAAAAAAAAAAAAAAA&m)>>1 | (x&0x5555555555555555&m)<<1;
    }
    return x;
}

int main(int argc, char**argv)
{
    TYPE x;
    TYPE b = (TYPE)-1;
    int bits;
    if ( argc != 2 ) 
    {
        printf("Usage: %s hexadecimal\n", argv[0]);
        return 1;
    }
    for(bits=1;b;b<<=1,bits++);
    --bits;
    printf("TYPE has %d bits\n", bits);
    sscanf(argv[1],"%x", &x);

    printf("0x%x\n",reverse(x, bits));
    return 0;
}
#包括
#包括
typedef int32_t TYPE;
类型反转(类型x,整数位)
{
类型m=~0;
开关(位)
{
案例64:

x=(x&0xFFFFFF00000000&m)>>16 |(x&0x00000000FFFFFFFFFFFFFFFFM)16 |(x&0x0000FFFF0000FFFFFFFFFFFFM)8 |(x&0x00FF00FF00FF00FF&m)4 |(x&0x0F0F0F0F0F0F0F0F&m)2 |(x&0x3333333333333&m)1 |(x&0x555555555555555555&m)有一个很好的“位旋转”集合,包括各种简单的位反转算法,而不是用C编码的


我个人喜欢“显而易见”的算法()因为,这是显而易见的。其他一些可能需要更少的指令来执行。如果我真的需要优化某些东西,我可能会选择不太明显但更快的版本。否则,为了可读性、可维护性和可移植性,我会选择明显的版本。

这里是一个更普遍有用的变体。它是一个优点是它能够在要反转的值(码字)的位长度未知但保证不会超过我们称之为maxLength的值的情况下工作。哈夫曼代码解压缩就是一个很好的例子

下面的代码适用于长度为1到24位的码字。它经过优化,可以在奔腾D上快速执行。请注意,每次使用它访问查找表的次数多达3次。我尝试了许多变体,以牺牲较大的表(4096和65536个条目)为代价,将该数字减少到2。这个版本的256字节表格显然是赢家,部分原因是表格数据位于缓存中非常有利,也可能是因为处理器具有8位表格查找/转换指令

const unsigned char table[] = {  
0x00,0x80,0x40,0xC0,0x20,0xA0,0x60,0xE0,0x10,0x90,0x50,0xD0,0x30,0xB0,0x70,0xF0,  
0x08,0x88,0x48,0xC8,0x28,0xA8,0x68,0xE8,0x18,0x98,0x58,0xD8,0x38,0xB8,0x78,0xF8,  
0x04,0x84,0x44,0xC4,0x24,0xA4,0x64,0xE4,0x14,0x94,0x54,0xD4,0x34,0xB4,0x74,0xF4,  
0x0C,0x8C,0x4C,0xCC,0x2C,0xAC,0x6C,0xEC,0x1C,0x9C,0x5C,0xDC,0x3C,0xBC,0x7C,0xFC,  
0x02,0x82,0x42,0xC2,0x22,0xA2,0x62,0xE2,0x12,0x92,0x52,0xD2,0x32,0xB2,0x72,0xF2,  
0x0A,0x8A,0x4A,0xCA,0x2A,0xAA,0x6A,0xEA,0x1A,0x9A,0x5A,0xDA,0x3A,0xBA,0x7A,0xFA,  
0x06,0x86,0x46,0xC6,0x26,0xA6,0x66,0xE6,0x16,0x96,0x56,0xD6,0x36,0xB6,0x76,0xF6,  
0x0E,0x8E,0x4E,0xCE,0x2E,0xAE,0x6E,0xEE,0x1E,0x9E,0x5E,0xDE,0x3E,0xBE,0x7E,0xFE,  
0x01,0x81,0x41,0xC1,0x21,0xA1,0x61,0xE1,0x11,0x91,0x51,0xD1,0x31,0xB1,0x71,0xF1,  
0x09,0x89,0x49,0xC9,0x29,0xA9,0x69,0xE9,0x19,0x99,0x59,0xD9,0x39,0xB9,0x79,0xF9,  
0x05,0x85,0x45,0xC5,0x25,0xA5,0x65,0xE5,0x15,0x95,0x55,0xD5,0x35,0xB5,0x75,0xF5,  
0x0D,0x8D,0x4D,0xCD,0x2D,0xAD,0x6D,0xED,0x1D,0x9D,0x5D,0xDD,0x3D,0xBD,0x7D,0xFD,  
0x03,0x83,0x43,0xC3,0x23,0xA3,0x63,0xE3,0x13,0x93,0x53,0xD3,0x33,0xB3,0x73,0xF3,  
0x0B,0x8B,0x4B,0xCB,0x2B,0xAB,0x6B,0xEB,0x1B,0x9B,0x5B,0xDB,0x3B,0xBB,0x7B,0xFB,  
0x07,0x87,0x47,0xC7,0x27,0xA7,0x67,0xE7,0x17,0x97,0x57,0xD7,0x37,0xB7,0x77,0xF7,  
0x0F,0x8F,0x4F,0xCF,0x2F,0xAF,0x6F,0xEF,0x1F,0x9F,0x5F,0xDF,0x3F,0xBF,0x7F,0xFF};  


const unsigned short masks[17] =  
{0,0,0,0,0,0,0,0,0,0X0100,0X0300,0X0700,0X0F00,0X1F00,0X3F00,0X7F00,0XFF00};  


unsigned long codeword;   // value to be reversed, occupying the low 1-24 bits  
unsigned char maxLength;  // bit length of longest possible codeword (<= 24)  
unsigned char sc;         // shift count in bits and index into masks array  


if (maxLength <= 8)  
{  
   codeword = table[codeword << (8 - maxLength)];  
}  
else  
{  
   sc = maxLength - 8;  

   if (maxLength <= 16)  
   {
      codeword = (table[codeword & 0X00FF] << sc)  
               |  table[codeword >> sc];  
   }  
   else if (maxLength & 1)  // if maxLength is 17, 19, 21, or 23  
   {  
      codeword = (table[codeword & 0X00FF] << sc)  
               |  table[codeword >> sc] |  
                 (table[(codeword & masks[sc]) >> (sc - 8)] << 8);  
   }  
   else  // if maxlength is 18, 20, 22, or 24  
   {  
      codeword = (table[codeword & 0X00FF] << sc)  
               |  table[codeword >> sc]  
               | (table[(codeword & masks[sc]) >> (sc >> 1)] << (sc >> 1));  
   }  
}  
const无符号字符表[]={
0x00,0x80,0x40,0xC0,0x20,0xA0,0x60,0xE0,0x10,0x90,0x50,0xD0,0x30,0xB0,0x70,0xF0,
0x08,0x88,0x48,0xC8,0x28,0xA8,0x68,0xE8,0x18,0x98,0x58,0xD8,0x38,0xB8,0x78,0xF8,
0x04,0x84,0x44,0xC4,0x24,0xA4,0x64,0xE4,0x14,0x94,0x54,0xD4,0x34,0xB4,0x74,0xF4,
0x0C、0x8C、0x4C、0xCC、0x2C、0xAC、0x6C、0xEC、0x1C、0x9C、0x5C、0xDC、0x3C、0xBC、0x7C、0xFC、,
0x02,0x82,0x42,0xC2,0x22,0xA2,0x62,0xE2,0x12,0x92,0x52,0xD2,0x32,0xB2,0x72,0xF2,
0x0A、0x8A、0x4A、0xCA、0x2A、0xAA、0x6A、0xEA、0x1A、0x9A、0x5A、0xDA、0x3A、0xBA、0x7A、0xFA、,
0x06,0x86,0x46,0xC6,0x26,0xA6,0x66,0xE6,0x16,0x96,0x56,0xD6,0x36,0xB6,0x76,0xF6,
0x0E、0x8E、0x4E、0xCE、0x2E、0xAE、0x6E、0xEE、0x1E、0x9E、0x5E、0xDE、0x3E、0xBE、0x7E、0xFE、,
0x01,0x81,0x41,0xC1,0x21,0xA1,0x61,0xE1,0x11,0x91,0x51,0xD1,0x31,0xB1,0x71,0xF1,
0x09,0x89,0x49,0xC9,0x29,0xA9,0x69,0xE9,0x19,0x99,0x59,0xD9,0x39,0xB9,0x79,0xF9,
0x05,0x85,0x45,0xC5,0x25,0xA5,0x65,0xE5,0x15,0x95,0x55,0xD5,0x35,0xB5,0x75,0xF5,
0x0D、0x8D、0x4D、0xCD、0x2D、0xAD、0x6D、0xED、0x1D、0x9D、0x5D、0xDD、0x3D、0xBD、0x7D、0xFD、,
0x03,0x83,0x43,0xC3,0x23,0xA3,0x63,0xE3,0x13,0x93,0x53,0xD3,0x33,0xB3,0x73,0xF3,
0x0B、0x8B、0x4B、0xCB、0x2B、0xAB、0x6B、0xEB、0x1B、0x9B、0x5B、0xDB、0x3B、0xBB、0x7B、0xFB,
0x07,0x87,0x47,0xC7,0x27,0xA7,0x67,0xE7,0x17,0x97,0x57,0xD7,0x37,0xB7,0x77,0xF7,
0x0F、0x8F、0x4F、0xCF、0x2F、0xAF、0x6F、0xEF、0x1F、0x9F、0x5F、0xDF、0x3F、0xBF、0x7F、0xFF};
常量无符号短掩码[17]=
{0,0,0,0,0,0,0,0,0,0,0X0100,0X0300,0X0700,0X0F00,0X1F00,0X3F00,0X7F00,0XFF00};
无符号长码字;//要反转的值,占用低位1-24位
无符号字符maxLength;//可能的最长码字的位长度((sc-8)]sc]
|(表[(码字和掩码[sc])>>(sc>>1)]>1);
}  
}  

适用于任何类型对象的通用方法
#include<stdio.h>
#include<limits.h>

#define TYPE_BITS sizeof(TYPE)*CHAR_BIT

typedef unsigned long TYPE;

TYPE reverser(TYPE n)
{
    TYPE nrev = 0, i, bit1, bit2;
    int count;

    for(i = 0; i < TYPE_BITS; i += 2)
    {
        /*In each iteration, we  swap one bit on the 'right half' 
        of the number with another on the left half*/

        count = TYPE_BITS - i - 1;  /*this is used to find how many positions 
                                    to the left (and right) we gotta move 
                                    the bits in this iteration*/

        bit1 = n & (1<<(i/2)); /*Extract 'right half' bit*/
        bit1 <<= count;         /*Shift it to where it belongs*/

        bit2 = n & 1<<((i/2) + count);  /*Find the 'left half' bit*/
        bit2 >>= count;         /*Place that bit in bit1's original position*/

        nrev |= bit1;   /*Now add the bits to the reversal result*/
        nrev |= bit2;
    }
    return nrev;
}

int main()
{
    TYPE n = 6;

    printf("%lu", reverser(n));
    return 0;
}
typedef unsigned long TYPE;
#define TYPE_BITS sizeof(TYPE)*8

TYPE reverser(TYPE t)
{
    unsigned int i;
    TYPE return_val = 0
    for(i = 0; i < TYPE_BITS; i++)
    {/*foreach bit in TYPE*/
        /* shift the value of return_val to the left and add the rightmost bit from t */
        return_val = (return_val << 1) + (t & 1);
        /* shift off the rightmost bit of t */
        t = t >> 1;
    }
    return(return_val);
}
#include <stdio.h>
#include <stdint.h>
typedef int32_t TYPE;
TYPE reverse(TYPE x, int bits)
{
    TYPE m=~0;
    switch(bits)
    {
        case 64:
            x = (x&0xFFFFFFFF00000000&m)>>16 | (x&0x00000000FFFFFFFF&m)<<16;
        case 32:
            x = (x&0xFFFF0000FFFF0000&m)>>16 | (x&0x0000FFFF0000FFFF&m)<<16;
        case 16:
            x = (x&0xFF00FF00FF00FF00&m)>>8 | (x&0x00FF00FF00FF00FF&m)<<8;
        case 8:
            x = (x&0xF0F0F0F0F0F0F0F0&m)>>4 | (x&0x0F0F0F0F0F0F0F0F&m)<<4;
            x = (x&0xCCCCCCCCCCCCCCCC&m)>>2 | (x&0x3333333333333333&m)<<2;
            x = (x&0xAAAAAAAAAAAAAAAA&m)>>1 | (x&0x5555555555555555&m)<<1;
    }
    return x;
}

int main(int argc, char**argv)
{
    TYPE x;
    TYPE b = (TYPE)-1;
    int bits;
    if ( argc != 2 ) 
    {
        printf("Usage: %s hexadecimal\n", argv[0]);
        return 1;
    }
    for(bits=1;b;b<<=1,bits++);
    --bits;
    printf("TYPE has %d bits\n", bits);
    sscanf(argv[1],"%x", &x);

    printf("0x%x\n",reverse(x, bits));
    return 0;
}
const unsigned char table[] = {  
0x00,0x80,0x40,0xC0,0x20,0xA0,0x60,0xE0,0x10,0x90,0x50,0xD0,0x30,0xB0,0x70,0xF0,  
0x08,0x88,0x48,0xC8,0x28,0xA8,0x68,0xE8,0x18,0x98,0x58,0xD8,0x38,0xB8,0x78,0xF8,  
0x04,0x84,0x44,0xC4,0x24,0xA4,0x64,0xE4,0x14,0x94,0x54,0xD4,0x34,0xB4,0x74,0xF4,  
0x0C,0x8C,0x4C,0xCC,0x2C,0xAC,0x6C,0xEC,0x1C,0x9C,0x5C,0xDC,0x3C,0xBC,0x7C,0xFC,  
0x02,0x82,0x42,0xC2,0x22,0xA2,0x62,0xE2,0x12,0x92,0x52,0xD2,0x32,0xB2,0x72,0xF2,  
0x0A,0x8A,0x4A,0xCA,0x2A,0xAA,0x6A,0xEA,0x1A,0x9A,0x5A,0xDA,0x3A,0xBA,0x7A,0xFA,  
0x06,0x86,0x46,0xC6,0x26,0xA6,0x66,0xE6,0x16,0x96,0x56,0xD6,0x36,0xB6,0x76,0xF6,  
0x0E,0x8E,0x4E,0xCE,0x2E,0xAE,0x6E,0xEE,0x1E,0x9E,0x5E,0xDE,0x3E,0xBE,0x7E,0xFE,  
0x01,0x81,0x41,0xC1,0x21,0xA1,0x61,0xE1,0x11,0x91,0x51,0xD1,0x31,0xB1,0x71,0xF1,  
0x09,0x89,0x49,0xC9,0x29,0xA9,0x69,0xE9,0x19,0x99,0x59,0xD9,0x39,0xB9,0x79,0xF9,  
0x05,0x85,0x45,0xC5,0x25,0xA5,0x65,0xE5,0x15,0x95,0x55,0xD5,0x35,0xB5,0x75,0xF5,  
0x0D,0x8D,0x4D,0xCD,0x2D,0xAD,0x6D,0xED,0x1D,0x9D,0x5D,0xDD,0x3D,0xBD,0x7D,0xFD,  
0x03,0x83,0x43,0xC3,0x23,0xA3,0x63,0xE3,0x13,0x93,0x53,0xD3,0x33,0xB3,0x73,0xF3,  
0x0B,0x8B,0x4B,0xCB,0x2B,0xAB,0x6B,0xEB,0x1B,0x9B,0x5B,0xDB,0x3B,0xBB,0x7B,0xFB,  
0x07,0x87,0x47,0xC7,0x27,0xA7,0x67,0xE7,0x17,0x97,0x57,0xD7,0x37,0xB7,0x77,0xF7,  
0x0F,0x8F,0x4F,0xCF,0x2F,0xAF,0x6F,0xEF,0x1F,0x9F,0x5F,0xDF,0x3F,0xBF,0x7F,0xFF};  


const unsigned short masks[17] =  
{0,0,0,0,0,0,0,0,0,0X0100,0X0300,0X0700,0X0F00,0X1F00,0X3F00,0X7F00,0XFF00};  


unsigned long codeword;   // value to be reversed, occupying the low 1-24 bits  
unsigned char maxLength;  // bit length of longest possible codeword (<= 24)  
unsigned char sc;         // shift count in bits and index into masks array  


if (maxLength <= 8)  
{  
   codeword = table[codeword << (8 - maxLength)];  
}  
else  
{  
   sc = maxLength - 8;  

   if (maxLength <= 16)  
   {
      codeword = (table[codeword & 0X00FF] << sc)  
               |  table[codeword >> sc];  
   }  
   else if (maxLength & 1)  // if maxLength is 17, 19, 21, or 23  
   {  
      codeword = (table[codeword & 0X00FF] << sc)  
               |  table[codeword >> sc] |  
                 (table[(codeword & masks[sc]) >> (sc - 8)] << 8);  
   }  
   else  // if maxlength is 18, 20, 22, or 24  
   {  
      codeword = (table[codeword & 0X00FF] << sc)  
               |  table[codeword >> sc]  
               | (table[(codeword & masks[sc]) >> (sc >> 1)] << (sc >> 1));  
   }  
}  
int BitReverse[Size]; // Size is power of 2
void Init()
{
   BitReverse[0] = 0;
   for(int i = 0; i < Size/2; i++)
   {
      BitReverse[2*i] = BitReverse[i]/2;
      BitReverse[2*i+1] = (BitReverse[i] + Size)/2;
   }
} // end it's all
#include <limits.h>
#include <stdio.h>

typedef unsigned long foo_t;

foo_t reverse(foo_t x)
{
        int shift = sizeof (x) * CHAR_BIT / 2;
        foo_t mask = (1 << shift) - 1;
        int i;

        for (i = 0; shift; i++) {
                x = ((x & mask) << shift) | ((x & ~mask) >> shift);
                shift >>= 1;
                mask ^= (mask << shift);
        }

        return x;
}       

int main() {
        printf("reverse = 0x%08lx\n", reverse(0x12345678L));
}