CRC校验算法

static const u32 CCrc_uCrc32Table[256] =    // CRC32查找表

{
    0x00000000, 0x77073096, 0xEE0E612C, 0x990951BA,
    0x076DC419, 0x706AF48F, 0xE963A535, 0x9E6495A3,
    0x0EDB8832, 0x79DCB8A4, 0xE0D5E91E, 0x97D2D988,
    0x09B64C2B, 0x7EB17CBD, 0xE7B82D07, 0x90BF1D91,
    0x1DB71064, 0x6AB020F2, 0xF3B97148, 0x84BE41DE,
    0x1ADAD47D, 0x6DDDE4EB, 0xF4D4B551, 0x83D385C7,
    0x136C9856, 0x646BA8C0, 0xFD62F97A, 0x8A65C9EC,
    0x14015C4F, 0x63066CD9, 0xFA0F3D63, 0x8D080DF5,
    0x3B6E20C8, 0x4C69105E, 0xD56041E4, 0xA2677172,
    0x3C03E4D1, 0x4B04D447, 0xD20D85FD, 0xA50AB56B,
    0x35B5A8FA, 0x42B2986C, 0xDBBBC9D6, 0xACBCF940,
    0x32D86CE3, 0x45DF5C75, 0xDCD60DCF, 0xABD13D59,
    0x26D930AC, 0x51DE003A, 0xC8D75180, 0xBFD06116,
    0x21B4F4B5, 0x56B3C423, 0xCFBA9599, 0xB8BDA50F,
    0x2802B89E, 0x5F058808, 0xC60CD9B2, 0xB10BE924,
    0x2F6F7C87, 0x58684C11, 0xC1611DAB, 0xB6662D3D,

    0x76DC4190, 0x01DB7106, 0x98D220BC, 0xEFD5102A,
    0x71B18589, 0x06B6B51F, 0x9FBFE4A5, 0xE8B8D433,
    0x7807C9A2, 0x0F00F934, 0x9609A88E, 0xE10E9818,
    0x7F6A0DBB, 0x086D3D2D, 0x91646C97, 0xE6635C01,
    0x6B6B51F4, 0x1C6C6162, 0x856530D8, 0xF262004E,
    0x6C0695ED, 0x1B01A57B, 0x8208F4C1, 0xF50FC457,
    0x65B0D9C6, 0x12B7E950, 0x8BBEB8EA, 0xFCB9887C,
    0x62DD1DDF, 0x15DA2D49, 0x8CD37CF3, 0xFBD44C65,
    0x4DB26158, 0x3AB551CE, 0xA3BC0074, 0xD4BB30E2,
    0x4ADFA541, 0x3DD895D7, 0xA4D1C46D, 0xD3D6F4FB,
    0x4369E96A, 0x346ED9FC, 0xAD678846, 0xDA60B8D0,
    0x44042D73, 0x33031DE5, 0xAA0A4C5F, 0xDD0D7CC9,
    0x5005713C, 0x270241AA, 0xBE0B1010, 0xC90C2086,
    0x5768B525, 0x206F85B3, 0xB966D409, 0xCE61E49F,
    0x5EDEF90E, 0x29D9C998, 0xB0D09822, 0xC7D7A8B4,
    0x59B33D17, 0x2EB40D81, 0xB7BD5C3B, 0xC0BA6CAD,

    0xEDB88320, 0x9ABFB3B6, 0x03B6E20C, 0x74B1D29A,
    0xEAD54739, 0x9DD277AF, 0x04DB2615, 0x73DC1683,
    0xE3630B12, 0x94643B84, 0x0D6D6A3E, 0x7A6A5AA8,
    0xE40ECF0B, 0x9309FF9D, 0x0A00AE27, 0x7D079EB1,
    0xF00F9344, 0x8708A3D2, 0x1E01F268, 0x6906C2FE,
    0xF762575D, 0x806567CB, 0x196C3671, 0x6E6B06E7,
    0xFED41B76, 0x89D32BE0, 0x10DA7A5A, 0x67DD4ACC,
    0xF9B9DF6F, 0x8EBEEFF9, 0x17B7BE43, 0x60B08ED5,
    0xD6D6A3E8, 0xA1D1937E, 0x38D8C2C4, 0x4FDFF252,
    0xD1BB67F1, 0xA6BC5767, 0x3FB506DD, 0x48B2364B,
    0xD80D2BDA, 0xAF0A1B4C, 0x36034AF6, 0x41047A60,
    0xDF60EFC3, 0xA867DF55, 0x316E8EEF, 0x4669BE79,
    0xCB61B38C, 0xBC66831A, 0x256FD2A0, 0x5268E236,
    0xCC0C7795, 0xBB0B4703, 0x220216B9, 0x5505262F,
    0xC5BA3BBE, 0xB2BD0B28, 0x2BB45A92, 0x5CB36A04,
    0xC2D7FFA7, 0xB5D0CF31, 0x2CD99E8B, 0x5BDEAE1D,

    0x9B64C2B0, 0xEC63F226, 0x756AA39C, 0x026D930A,
    0x9C0906A9, 0xEB0E363F, 0x72076785, 0x05005713,
    0x95BF4A82, 0xE2B87A14, 0x7BB12BAE, 0x0CB61B38,
    0x92D28E9B, 0xE5D5BE0D, 0x7CDCEFB7, 0x0BDBDF21,
    0x86D3D2D4, 0xF1D4E242, 0x68DDB3F8, 0x1FDA836E,
    0x81BE16CD, 0xF6B9265B, 0x6FB077E1, 0x18B74777,
    0x88085AE6, 0xFF0F6A70, 0x66063BCA, 0x11010B5C,
    0x8F659EFF, 0xF862AE69, 0x616BFFD3, 0x166CCF45,
    0xA00AE278, 0xD70DD2EE, 0x4E048354, 0x3903B3C2,
    0xA7672661, 0xD06016F7, 0x4969474D, 0x3E6E77DB,
    0xAED16A4A, 0xD9D65ADC, 0x40DF0B66, 0x37D83BF0,
    0xA9BCAE53, 0xDEBB9EC5, 0x47B2CF7F, 0x30B5FFE9,
    0xBDBDF21C, 0xCABAC28A, 0x53B39330, 0x24B4A3A6,
    0xBAD03605, 0xCDD70693, 0x54DE5729, 0x23D967BF,
    0xB3667A2E, 0xC4614AB8, 0x5D681B02, 0x2A6F2B94,
    0xB40BBE37, 0xC30C8EA1, 0x5A05DF1B, 0x2D02EF8D,
};

// 获得CRC32的校验和. uInitCrc是初始值,从0开始,代表之前数据的校验和

u32 CCrc_GetCrc32(const void * pData, u32 uSize,u32 uInitCrc)
{
    u32 uCrc ;
    const u8 * pBuf;

    pBuf = (const u8 *)pData;
    uCrc = uInitCrc ^ 0xffffffff;
    while(uSize--)
        uCrc = (uCrc >> 8) ^ CCrc_uCrc32Table[(uCrc & 0xFF) ^ *pBuf++];
    return uCrc^0xffffffff;
}

u8 CCrc_uCrc8Table[256] = // CRC8查找表

{
    0x00, 0x31, 0x62, 0x53, 0xc4, 0xf5, 0xa6, 0x97, 0x88, 0xb9, 0xea, 0xdb, 0x4c, 0x7d, 0x2e, 0x1f,
    0x21, 0x10, 0x43, 0x72, 0xe5, 0xd4, 0x87, 0xb6, 0xa9, 0x98, 0xcb, 0xfa, 0x6d, 0x5c, 0x0f, 0x3e,
    0x73, 0x42, 0x11, 0x20, 0xb7, 0x86, 0xd5, 0xe4, 0xfb, 0xca, 0x99, 0xa8, 0x3f, 0x0e, 0x5d, 0x6c,
    0x52, 0x63, 0x30, 0x01, 0x96, 0xa7, 0xf4, 0xc5, 0xda, 0xeb, 0xb8, 0x89, 0x1e, 0x2f, 0x7c, 0x4d,
    0xe6, 0xd7, 0x84, 0xb5, 0x22, 0x13, 0x40, 0x71, 0x6e, 0x5f, 0x0c, 0x3d, 0xaa, 0x9b, 0xc8, 0xf9,
    0xc7, 0xf6, 0xa5, 0x94, 0x03, 0x32, 0x61, 0x50, 0x4f, 0x7e, 0x2d, 0x1c, 0x8b, 0xba, 0xe9, 0xd8,
    0x95, 0xa4, 0xf7, 0xc6, 0x51, 0x60, 0x33, 0x02, 0x1d, 0x2c, 0x7f, 0x4e, 0xd9, 0xe8, 0xbb, 0x8a,
    0xb4, 0x85, 0xd6, 0xe7, 0x70, 0x41, 0x12, 0x23, 0x3c, 0x0d, 0x5e, 0x6f, 0xf8, 0xc9, 0x9a, 0xab,
    0xcc, 0xfd, 0xae, 0x9f, 0x08, 0x39, 0x6a, 0x5b, 0x44, 0x75, 0x26, 0x17, 0x80, 0xb1, 0xe2, 0xd3,
    0xed, 0xdc, 0x8f, 0xbe, 0x29, 0x18, 0x4b, 0x7a, 0x65, 0x54, 0x07, 0x36, 0xa1, 0x90, 0xc3, 0xf2,
    0xbf, 0x8e, 0xdd, 0xec, 0x7b, 0x4a, 0x19, 0x28, 0x37, 0x06, 0x55, 0x64, 0xf3, 0xc2, 0x91, 0xa0,
    0x9e, 0xaf, 0xfc, 0xcd, 0x5a, 0x6b, 0x38, 0x09, 0x16, 0x27, 0x74, 0x45, 0xd2, 0xe3, 0xb0, 0x81,
    0x2a, 0x1b, 0x48, 0x79, 0xee, 0xdf, 0x8c, 0xbd, 0xa2, 0x93, 0xc0, 0xf1, 0x66, 0x57, 0x04, 0x35,
    0x0b, 0x3a, 0x69, 0x58, 0xcf, 0xfe, 0xad, 0x9c, 0x83, 0xb2, 0xe1, 0xd0, 0x47, 0x76, 0x25, 0x14,
    0x59, 0x68, 0x3b, 0x0a, 0x9d, 0xac, 0xff, 0xce, 0xd1, 0xe0, 0xb3, 0x82, 0x15, 0x24, 0x77, 0x46,
    0x78, 0x49, 0x1a, 0x2b, 0xbc, 0x8d, 0xde, 0xef, 0xf0, 0xc1, 0x92, 0xa3, 0x34, 0x05, 0x56, 0x67
};

// 获得CRC8的校验和. uInitCrc是初始值,从0开始,代表之前数据的校验和

u8 CCrc_GetCrc8( const void *pData, u32 uSize,u8 uInitCrc)
{    
    u8 uCrc ;
    const u8 * pBuf;
    
    pBuf = (const u8 *)pData;    
    uCrc = uInitCrc ^ 0xff;
    
    while(uSize--)
        uCrc = CCrc_uCrc8Table[uCrc^(*pBuf++)];
    return uCrc ^ 0xff;
}
http://blog.chinaunix.net/u2/66039/showart_1830951.html

一、什么是CRC校验
     循环校验码(Jyclic Redundancy Check,简称CRC码):
是数据通信领域中最常用的一种差错校验码,其特征是信息字段和校验字段的长度可以任意选定。


二、CRC校验计算
      CRC码是由两部分组成,前部分是信息码,就是需要校验的信息,后部分是校验码,如果CRC码共长n个bit,信息码长k个bit,它的编码规则是:
      1、首先将原信息码(kbit)左移r位(k+r=n),对应多项式为m(x)。
      2、运用一个生成R次多项式g(x)(也可看成二进制数)用模2除上面的式子,得到的余数就是校验码,r=R。
      非常简单,要说明的:模2除就是在除的过程中用模2加,模2加实际上就是我们熟悉的异或运算,就是加法不考虑进位,公式是:    
      0+0=1+1=0,1+0=0+1=1,即‘异’则真,‘非异’则假。
      由此得到定理:a+b+b=a 也就是‘模2减’和‘模2加’直值表完全相同。 
      有了加减法就可以用来定义模2除法,于是就可以用生成多项式g(x)生成CRC校验码。
      例如:代码1010111对应的多项式为x6+x4+x2+x+1,而多项式为x5+x3+x2+x+1对应的代码101111
      现在计算 信息码1011001(多项式为x6+x4+x3+1),生成多项式g(x)=x4+x3+1(信息码为11001)的CRC,计算过程如下
      step1:   1011001左移4位得到10110010000
      steo2:   采用多项式除法:  得余数为: 1010     (即校验字段为:1010)
      CRC码即为1011001,1010 (逗号前为信息码,后为校验码)

三、编程实现
     

uint  cal_crc(uchar  * ptr, uchar len) 
    
uint crc; 
    uchar i; 
    crc
=0
    
while (len--!=0
        
for (i=0x80; i!=0; i/=2
            
if ((crc&0x8000)!=0){
                crc
*=2; crc^=0x1021;
            }
 else crc*=2
            
if ((*ptr&i)!=0)
                crc
^=0x1021
        }
 
    ptr
++
    }
 
    
return(crc); 
}
 

      

 四,实际应用
      发送方:发出的传输字段为:  1 0 1 1 0 0 1 1 0 10
                      信息字段       校验字段
      接收方:使用相同的生成码进行校验:接收到的字段/生成码(二进制除法)
                     如果能够除尽,则正确

注:参考了网上很多资料
CRC校验源码分析
CRC算法分析和程序实现(pdf下载)《—— 重点推荐

 

http://www.cppblog.com/smagle/archive/2009/02/18/74119.html

 

 

 

 

1、循环校验码(CRC码):是数据通信领域中最常用的一种差错校验码,其特征是信息字段和校验字段的长度可以任意选定。

2、生成CRC码的基本原理:任意一个由二进制位串组成的代码都可以和一个系数仅为‘0’和‘1’取值的多项式一一对应。例如:代码1010111对应的多项式为x6+x4+x2+x+1,而多项式为x5+x3+x2+x+1对应的代码101111。

3、CRC码集选择的原则若设码字长度为N,信息字段为K位,校验字段为R位(N=K+R),则对于CRC码集中的任一码字,存在且仅存在一个R次多项式g(x),使得

V(x)=A(x)g(x)=xRm(x)+r(x);

其中:    m(x)为K次信息多项式, r(x)为R-1次校验多项式,

         g(x)称为生成多项式:

g(x)=g0+g1x+g2x2+...+g(R-1)x(R-1)+gRxR

发送方通过指定的g(x)产生CRC码字,接收方则通过该g(x)来验证收到的CRC码字。

4、CRC校验码软件生成方法:

    借助于多项式除法,其余数为校验字段。

例如:信息字段代码为: 1011001;对应m(x)=x6+x4+x3+1 

      假设生成多项式为:g(x)=x4+x3+1;则对应g(x)的代码为: 11001

      x4m(x)=x10+x8+x7+x4 对应的代码记为:10110010000

采用多项式除法:  得余数为: 1010     (即校验字段为:1010)

发送方:发出的传输字段为:  1 0 1 1 0 0 1 1 0 10

                          信息字段       校验字段

接收方:使用相同的生成码进行校验:接收到的字段/生成码(二进制除法)

                  如果能够除尽,则正确,

 

http://blog.ednchina.com/hongbobo/49701/message.aspx

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