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CRC算法是在通讯领域广泛采用的校验算法。两个女人代孕试管婴儿原理我就不说了，这里说一下简单的程序实现。拉拉骨髓生孩子什么意思以下均采用CRC多项式为0x1021即：

g(x)=x16+x12+x5+x0;CRC的基本原理就不说了，那个搜一下就有了。女同代孕试管婴儿费用

最基本的算法应该是按位计算了，这个方法可以适用于所有长度的数据校验，最为灵活，但由于是按位计算，其效率并不是最优，只适用于对速度不敏感的场合。a卵b怀好不好基本的算法如下：

unsignedshortdo,crc,16(unsignedchar*message,unsignedintlen)

{

inti,j;

unsignedshortcrc,reg=0;

unsignedshortcurrent;

for(i=0;ilen;i++)

{

current=message8;

for(j=0;j8;j++)

{

if((short)(crc,reg^current)0)

crc,reg=(crc,reg1)^0x1021;

else

crc,reg=1;

current=1;

}

}

returncrc,reg;

}

以是方法可以计算出任意长度数据的校验。a卵但速度慢。下面介绍一种按字节计算的方法：

按字节校验是每次计算8位数据，多是基于查表的算法，首先要准备一个表，一共256项。

unsignedintcrc,ta={/*CRC余式表*/

0x0000,0x1021,0x2042,0x3063,0x4084,0x50a5,0x60c6,0x70e7,

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

};

unsignedshortdo,crc,table(unsignedchar*ptr,intlen)

{

unsignedshortintcrc;

unsignedcharda;

crc=0;

while(len--!=0)

{

da=(unsignedshort)crc8;/*以8位二进制数的形式暂存CRC的高8位*/

crc=8;/*左移8位，相当于CRC的低8位乘以*/

crc^=crc,ta;/*高8位和当前字节相加后再查表求CRC，再加上以前的CRC*/

ptr++;

}

return(crc);

}

以上算法实现了按字节进行计算校验值。在使用的时候，把计算出来的校验值放在最后两个字节里，将其发送出去，接收端对所有的数据进行相同的校验，如校验值为0我们则认为其数据没有出错。这个是按高位到低位的发送顺序时使用的校验方法。

在实际应用中，还有一种按低位到高位的发送方法，这样，就要进行反相的校验，但如果把数据反相，显然加大计算量，故可以使用相应的查表算法来进行计算。只是计算方法与表不太一样，其实现算法如下：

unsignedshortcrc16,ccitt,table=

{

0x0000,0x1189,0x2312,0x329b,0x4624,0x57ad,0x6536,0x74bf,

0x8c48,0x9dc1,0xaf5a,0xbed3,0xca6c,0xdbe5,0xe97e,0xf8f7,

0x1081,0x0108,0x3393,0x221a,0x56a5,0x472c,0x75b7,0x643e,

0x9cc9,0x8d40,0xbfdb,0xae52,0xdaed,0xcb64,0xf9ff,0xe876,

0x2102,0x308b,0x0210,0x1399,0x6726,0x76af,0x4434,0x55bd,

0xad4a,0xbcc3,0x8e58,0x9fd1,0xeb6e,0xfae7,0xc87c,0xd9f5,

0x3183,0x200a,0x1291,0x0318,0x77a7,0x662e,0x54b5,0x453c,

0xbdcb,0xac42,0x9ed9,0x8f50,0xfbef,0xea66,0xd8fd,0xc974,

0x4204,0x538d,0x6116,0x709f,0x0420,0x15a9,0x2732,0x36bb,

0xce4c,0xdfc5,0xed5e,0xfcd7,0x8868,0x99e1,0xab7a,0xbaf3,

0x5285,0x430c,0x7197,0x601e,0x14a1,0x0528,0x37b3,0x263a,

0xdecd,0xcf44,0xfddf,0xec56,0x98e9,0x8960,0xbbfb,0xaa72,

0x6306,0x728f,0x4014,0x519d,0x2522,0x34ab,0x0630,0x17b9,

0xef4e,0xfec7,0xcc5c,0xddd5,0xa96a,0xb8e3,0x8a78,0x9bf1,

0x7387,0x620e,0x5095,0x411c,0x35a3,0x242a,0x16b1,0x0738,

0xffcf,0xee46,0xdcdd,0xcd54,0xb9eb,0xa862,0x9af9,0x8b70,

0x8408,0x9581,0xa71a,0xb693,0xc22c,0xd3a5,0xe13e,0xf0b7,

0x0840,0x19c9,0x2b52,0x3adb,0x4e64,0x5fed,0x6d76,0x7cff,

0x9489,0x8500,0xb79b,0xa612,0xd2ad,0xc324,0xf1bf,0xe036,

0x18c1,0x0948,0x3bd3,0x2a5a,0x5ee5,0x4f6c,0x7df7,0x6c7e,

0xa50a,0xb483,0x8618,0x9791,0xe32e,0xf2a7,0xc03c,0xd1b5,

0x2942,0x38cb,0x0a50,0x1bd9,0x6f66,0x7eef,0x4c74,0x5dfd,

0xb58b,0xa402,0x9699,0x8710,0xf3af,0xe226,0xd0bd,0xc134,

0x39c3,0x284a,0x1ad1,0x0b58,0x7fe7,0x6e6e,0x5cf5,0x4d7c,

0xc60c,0xd785,0xe51e,0xf497,0x8028,0x91a1,0xa33a,0xb2b3,

0x4a44,0x5bcd,0x6956,0x78df,0x0c60,0x1de9,0x2f72,0x3efb,

0xd68d,0xc704,0xf59f,0xe416,0x90a9,0x8120,0xb3bb,0xa232,

0x5ac5,0x4b4c,0x79d7,0x685e,0x1ce1,0x0d68,0x3ff3,0x2e7a,

0xe70e,0xf687,0xc41c,0xd595,0xa12a,0xb0a3,0x8238,0x93b1,

0x6b46,0x7acf,0x4854,0x59dd,0x2d62,0x3ceb,0x0e70,0x1ff9,

0xf78f,0xe606,0xd49d,0xc514,0xb1ab,0xa022,0x92b9,0x8330,

0x7bc7,0x6a4e,0x58d5,0x495c,0x3de3,0x2c6a,0x1ef1,0x0f78,

};

unsignedshortdo,crc,table,1(unsignedchar*pData,intnLength)

{

unsignedshortfcs=0xffff;//初始化

while(nLength0)

{

fcs=(fcs8)^crc16,ccitt,table[(fcs^*pData)0xff];

nLength--;

pData++;

}

return~fcs;//取反

}

检验的时候，只要用以下方法就可以

intIsCrc16Good(unsignedchar*pData,intnLength)

{

unsignedshortfcs=0xffff;//初始化

while(nLength0)

{

fcs=(fcs8)^crc16,ccitt,table[(fcs^*pData)0xff];

nLength--;

pData++;

}

//return();//0xf0b8是CRC-ITU的"MagicValue"

if(fcs==0xf0b8)

return1;

else

return-1;

}

返回1则数据无误，否则数据错误。

其表的生成方法也比较简单，对于前一种查表方法，其生成表的算法可以由按位生成算法来计算得到，对0～255的字节进行CRC校验，得到的校验值分别做为表的相应项。

对于后一种查表方法，其码表可以由以下方法计算得到，

voidcrc16,ccitt()

{

unsignedcharindex=0;

unsignedshortto,xor;

inti;

printf("unsignedshortcrc16,ccitt,table=/n{");

while(1)

{

if(!(index%8))

printf("/n");

to,xor=index;

for(i=0;i8;i++)

{

if(to,xor0x0001)

to,xor=(to,xor1)^0x8408;

else

to,xor=1;

}

printf("0x%04x",to,xor);

if(index==255)

{

printf("/n");

break;

}

else

{

printf(",");

index++;

}

}

printf("};");

//return0;

}

这样，对CRC算法算是有一个新的认识了，至少是分清了对于同一个多项式，为什么会有不同的计算方法。弄清后，就会明白在什么场合用什么样的算法。

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