CRC位域4单表查表及建表原则：

左移位域4取列表16个，大端存储模式。右移位域4取行表16个，小端存储模式。

在CRC16CCITT中CRC的多项式为：左移CRC16=X16+X12+X5+1，即权值=0x1021，故建立16字节的CRC表格:

(参见：https://zh.wikipedia.org/zh-cn/%E5%BE%AA%E7%8E%AF%E5%86%97%E4%BD%99%E6%A0%A1%E9%AA%8C)

特别注意:它的初值为0xFFFF,只用一次，本次的结果即为下次的初值，故与CRC表的构造无关。

网上CRC16的256个表为：

unsigned int CRC16Table[256] = {

0x0000, 0x1021, 0x2042, 0x3063, 0x4084, 0x50a5, 0x60c6, 0x70e7,//注意本行的0x1021

0x8108, 0x9129, 0xa14a, 0xb16b, 0xc18c, 0xd1ad, 0xe1ce, 0xf1ef,

0x1231, 0x0210, 0x3273, 0x2252, 0x52b5, 0x4294, 0x72f7, 0x62d6,

0x9339, 0x8318, 0xb37b, 0xa35a, 0xd3bd, 0xc39c, 0xf3ff, 0xe3de,

0x2462, 0x3443, 0x0420, 0x1401, 0x64e6, 0x74c7, 0x44a4, 0x5485,

0xa56a, 0xb54b, 0x8528, 0x9509, 0xe5ee, 0xf5cf, 0xc5ac, 0xd58d,

0x3653, 0x2672, 0x1611, 0x0630, 0x76d7, 0x66f6, 0x5695, 0x46b4,

0xb75b, 0xa77a, 0x9719, 0x8738, 0xf7df, 0xe7fe, 0xd79d, 0xc7bc,

0x48c4, 0x58e5, 0x6886, 0x78a7, 0x0840, 0x1861, 0x2802, 0x3823,

0xc9cc, 0xd9ed, 0xe98e, 0xf9af, 0x8948, 0x9969, 0xa90a, 0xb92b,

0x5af5, 0x4ad4, 0x7ab7, 0x6a96, 0x1a71, 0x0a50, 0x3a33, 0x2a12,

0xdbfd, 0xcbdc, 0xfbbf, 0xeb9e, 0x9b79, 0x8b58, 0xbb3b, 0xab1a,

0x6ca6, 0x7c87, 0x4ce4, 0x5cc5, 0x2c22, 0x3c03, 0x0c60, 0x1c41,

0xedae, 0xfd8f, 0xcdec, 0xddcd, 0xad2a, 0xbd0b, 0x8d68, 0x9d49,

0x7e97, 0x6eb6, 0x5ed5, 0x4ef4, 0x3e13, 0x2e32, 0x1e51, 0x0e70,

0xff9f, 0xefbe, 0xdfdd, 0xcffc, 0xbf1b, 0xaf3a, 0x9f59, 0x8f78,

0x9188, 0x81a9, 0xb1ca, 0xa1eb, 0xd10c, 0xc12d, 0xf14e, 0xe16f,

0x1080, 0x00a1, 0x30c2, 0x20e3, 0x5004, 0x4025, 0x7046, 0x6067,

0x83b9, 0x9398, 0xa3fb, 0xb3da, 0xc33d, 0xd31c, 0xe37f, 0xf35e,

0x02b1, 0x1290, 0x22f3, 0x32d2, 0x4235, 0x5214, 0x6277, 0x7256,

0xb5ea, 0xa5cb, 0x95a8, 0x8589, 0xf56e, 0xe54f, 0xd52c, 0xc50d,

0x34e2, 0x24c3, 0x14a0, 0x0481, 0x7466, 0x6447, 0x5424, 0x4405,

0xa7db, 0xb7fa, 0x8799, 0x97b8, 0xe75f, 0xf77e, 0xc71d, 0xd73c,

0x26d3, 0x36f2, 0x0691, 0x16b0, 0x6657, 0x7676, 0x4615, 0x5634,

0xd94c, 0xc96d, 0xf90e, 0xe92f, 0x99c8, 0x89e9, 0xb98a, 0xa9ab,

0x5844, 0x4865, 0x7806, 0x6827, 0x18c0, 0x08e1, 0x3882, 0x28a3,

0xcb7d, 0xdb5c, 0xeb3f, 0xfb1e, 0x8bf9, 0x9bd8, 0xabbb, 0xbb9a,

0x4a75, 0x5a54, 0x6a37, 0x7a16, 0x0af1, 0x1ad0, 0x2ab3, 0x3a92,

0xfd2e, 0xed0f, 0xdd6c, 0xcd4d, 0xbdaa, 0xad8b, 0x9de8, 0x8dc9,

0x7c26, 0x6c07, 0x5c64, 0x4c45, 0x3ca2, 0x2c83, 0x1ce0, 0x0cc1,

0xef1f, 0xff3e, 0xcf5d, 0xdf7c, 0xaf9b, 0xbfba, 0x8fd9, 0x9ff8,

0x6e17, 0x7e36, 0x4e55, 0x5e74, 0x2e93, 0x3eb2, 0x0ed1, 0x1ef0

};

即CRC位域8表：

CRC16Table[256]={CRC[0x0000],CRC[0x0001],CRC[0x0002],...CRC[0x00FD],CRC[0x00FE],CRC[0x00FF]};

特别注意对CRC表逆向出权值的方法(256表)：

右移方式，CRC多项式即权值=CRC16Table[0x80]

左移方式，CRC多项式即权值=CRC16Table[0x01]=0x1021

本文采用CRC位域4查表方式，故表为：

CRC16Table[16]={CRC[0x0000],CRC[0x0001],CRC[0x0002],...CRC[0x000D],CRC[0x000E],CRC[0x000F]};

即左移方式取列表:

CRC16Table[16]={

0x0000, 0x1021, 0x2042, 0x3063, 0x4084, 0x50a5, 0x60c6, 0x70e7,//注意本行的0x1021

0x8108, 0x9129, 0xa14a, 0xb16b, 0xc18c, 0xd1ad, 0xe1ce, 0xf1ef,

};

unsigned int GetCRC16(unsigned int crcinit, unsigned int crcval)

{//(可以不要初值crcinit，多字节CRC16时入口需要对crcval做处理)

unsigned int i, crc="0";

crcval = crcinit ^ crcval;//初值为0xFFFF,只用一次，函数下次调用时crcinit=crc

for(i = 0;i < 4;i ++)//2个字节位域4需要4次完成

{//左移12次可认为是大端存储模式

crc = (crc << 4) ^ CRC16Table[((crc ^ crcval) >> 12) & 0x0F];//位域宽4单表16个字节

crcval <<= 4;//准备下一个位域,域宽4

}

return crc;//本次crc结果,做为下次GetCRC16()调用的初值crcinit,切记!!!

}

菜农HotPower@126.com 2009.10.18 于雁塔菜地