CRC的C语言的程序

按位计算CRC采用CRC-CCITT多项式，多项式为0x11021，C语言编程时，参与计算为0x1021。当按位计算CRC时，例如计算二进制序列为1001 1010 1010 1111时，将二进制序列数左移16位，即为1001 1010 1010 1111 (0000 0000 0000 0000)，实际上该二进制序列可拆分为1000 0000 0000 0000 (0000 0000 0000 0000) + 000 0000 0000 0000 (0000 0000 0000 0000) + 00 0000 0000 0000 (0000 0000 0000 0000) + 1 0000 0000 0000 (0000 0000 0000 0000) + ……
现在开始分析运算：
<1>对第一个二进制分序列求余数，竖式除法即为0x10000 ^ 0x11021运算，后面的0位保留；
<2>接着对第二个二进制分序列求余数，将第一步运算的余数*2后再和第二个二进制分序列一起对0x11021求余，这一步理解应该没什么问题。如果该分序列为0，无需计算。
<3>对其余的二进制序列求余与上面两步相同。
<4>计算到最后一位时即为整个二进制序列的余数，即为CRC校验码。
该计算方法相当于对每一位计算，运算过程很容易理解，所占内存少，缺点是一位一位计算比较耗时。
下面给出C语言实现方法：
代码如下:
unsigned char test[16] = {0x00,0x11,0x22,0x33,0x44,0x55,0x66,0x77,0x88,0x99,0xaa,0xbb,0xcc,0xdd,0xee,0xff};
unsigned char len = 16;
void main( void )
{
unsigned long temp = 0;
unsigned int crc;
unsigned char i;
unsigned char *ptr = test;

while( len-- ) {
for(i = 0x80; i != 0; i = i >> 1) {
temp = temp * 2;
if((temp & 0x10000) != 0)
temp = temp ^ 0x11021;

if((*ptr & i) != 0)
temp = temp ^ (0x10000 ^ 0x11021);
}
ptr++;
}
crc = temp;
printf("0x%x ",crc);
}

仅供参考：
/* Crc - 32 BIT ANSI X3.66 CRC checksum files */

#include
#include "crc.h"
#ifdef __TURBOC__
#pragma warn -cln
#endif

/**********************************************************************\
|* Demonstration program to compute the 32-bit CRC used as the frame *|
|* check sequence in ADCCP (ANSI X3.66, also known as FIPS PUB 71 *|
|* and FED-STD-1003, the U.S. versions of CCITT's X.25 link-level *|
|* protocol). The 32-bit FCS was added via the Federal Register, *|
|* 1 June 1982, p.23798. I presume but don't know for certain that *|
|* this polynomial is or will be included in CCITT V.41, which *|
|* defines the 16-bit CRC (often called CRC-CCITT) polynomial. FIPS *|
|* PUB 78 says that the 32-bit FCS reduces otherwise undetected *|
|* errors by a factor of 10^-5 over 16-bit FCS. *|
\**********************************************************************/

/* Need an unsigned type capable of holding 32 bits; */

typedef DWORD UNS_32_BITS;

/* Copyright (C) 1986 Gary S. Brown. You may use this program, or
code or tables extracted from it, as desired without restriction.*/

/* First, the polynomial itself and its table of feedback terms. The */
/* polynomial is */
/* X^32+X^26+X^23+X^22+X^16+X^12+X^11+X^10+X^8+X^7+X^5+X^4+X^2+X^1+X^0 */
/* Note that we take it "backwards" and put the highest-order term in */
/* the lowest-order bit. The X^32 term is "implied"; the LSB is the */
/* X^31 term, etc. The X^0 term (usually shown as "+1") results in */
/* the MSB being 1. */

/* Note that the usual hardware shift register implementation, which */
/* is what we're using (we're merely optimizing it by doing eight-bit */
/* chunks at a time) shifts bits into the lowest-order term. In our */
/* implementation, that means shifting towards the right. Why do we */
/* do it this way? Because the calculated CRC must be transmitted in */
/* order from highest-order term to lowest-order term. UARTs transmit */
/* characters in order from LSB to MSB. By storing the CRC this way, */
/* we hand it to the UART in the order low-byte to high-byte; the UART */
/* sends each low-bit to hight-bit; and the result is transmission bit */
/* by bit from highest- to lowest-order term without requiring any bit */
/* shuffling on our part. Reception works similarly. */

/* The feedback terms table consists of 256, 32-bit entries. Notes: */
/* */
/* 1. The table can be generated at runtime if desired; code to do so */
/* is shown later. It might not be obvious, but the feedback */
/* terms simply represent the results of eight shift/xor opera- */
/* tions for all combinations of data and CRC register values. */
/* */
/* 2. The CRC accumulation logic is the same for all CRC polynomials, */
/* be they sixteen or thirty-two bits wide. You simply choose the */
/* appropriate table. Alternatively, because the table can be */
/* generated at runtime, you can start by generating the table for */
/* the polynomial in question and use exactly the same "updcrc", */
/* if your application needn't simultaneously handle two CRC */
/* polynomials. (Note, however, that XMODEM is strange.) */
/* */
/* 3. For 16-bit CRCs, the table entries need be only 16 bits wide; */
/* of course, 32-bit entries work OK if the high 16 bits are zero. */
/* */
/* 4. The values must be right-shifted by eight bits by the "updcrc" */
/* logic; the shift must be unsigned (bring in zeroes). On some */
/* hardware you could probably optimize the shift in assembler by */
/* using byte-swap instructions. */

static UNS_32_BITS crc_32_tab[] = { /* CRC polynomial 0xedb88320 */
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
};

DWORD updateCRC32(unsigned char ch, DWORD crc)
{
return UPDC32(ch, crc);
}

Boolean_T crc32file(char *name, DWORD *crc, long *charcnt)
{
register FILE *fin;
register DWORD oldcrc32;
register int c;

oldcrc32 = 0xFFFFFFFF; *charcnt = 0;
#ifdef MSDOS
if ((fin=fopen(name, "rb"))==NULL)
#else
if ((fin=fopen(name, "r"))==NULL)
#endif
{
perror(name);
return Error_;
}
while ((c=getc(fin))!=EOF)
{
++*charcnt;
oldcrc32 = UPDC32(c, oldcrc32);
}

if (ferror(fin))
{
perror(name);
*charcnt = -1;
}
fclose(fin);

*crc = oldcrc32 = ~oldcrc32;

return Success_;
}

DWORD crc32buf(char *buf, size_t len)
{
register DWORD oldcrc32;

oldcrc32 = 0xFFFFFFFF;

for ( ; len; --len, ++buf)
{
oldcrc32 = UPDC32(*buf, oldcrc32);
}

return ~oldcrc32;
}

#ifdef TEST

main(int argc, char *argv[])
{
DWORD crc;
long charcnt;
register errors = 0;

while(--argc > 0)
{
errors |= crc32file(*++argv, &crc, &charcnt);
printf("%08lX %7ld %s\n", crc, charcnt, *argv);
}
return(errors != 0);
}

#endif /* TEST */