[net.dcom] Byte-at-a-time CRC-16 Algorithim

barrett@hpcnoe.UUCP (barrett) (03/12/85)

Here is a crc-16 algorithim that may be useful to programmers implementing
datacomm drivers.

Dave Barrett
ihnp4!hpfcla!barrett or hplabs!hp-dcd!barrett
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/*
 * program to illustrate a byte-at-a-time crc algorithm
 *
 * See crc16 subroutine below.
 */
#include <stdio.h>

static char buf[32768];

main(argc, argv)
   int argc;
   char *argv[];
{
   char *bufp = buf;
   int count = 0;
   int ch;

   while ((ch = getchar()) != EOF) *bufp++ = ch, count++;
   printf("%04x\n", crc16(buf, count));
   exit (0);
}

/*
 * This  routine  calculates  a  CRC16  polynomial  a byte at a time  using
 * information  described  in IEEE  Micro,  June  1983 pp.  40-50,  by Aram
 * Perezi. This was  translated  to C from the 8080 assembly in the article
 * by Dave Barrett, HP Colorado Neworks Operation March 1984.
 * 
 * Given:     M = Message data Byte
 *            C = CRC initial value
 *            X = M ^ C
 * 
 * The Following diagram illustrates the Contents of the CRC upon
 * completion of each interation of the loop in this algorithim:
 * 
 * 16 15 14 13 12 11 10  9 |  8   7   6   5   4   3   2  1
 *  -----------------------|-------------------------------
 *  0  0  0  0  0  0  0  0 | C16 C15 C14 C13 C12 C11 C10 C9
 * X8 X7 X8 X7 X6 X5 X4 X3 | X2   X1  0   0   0   0   0  X8
 * X7 X6 X7 X6 X5 X4 X3 X2 | X1                          X7
 * X6 X5                   |                             X6
 * X5 X4                   |                             X5
 * X4 X3                   |                             X4
 * X3 X2                   |                             X3
 * X2 X1                   |                             X2
 * X1                      |                             X1
 * 
 * Where each line represents an XOR operation.
 *
 * invocation:
 *
 *    crc = crc16(buf, count);
 *       char *buf;	/* address of buffer with bytes to be crc'd
 *       int count;	/* the number of bytes in the buffer
 */

/* 
 * this algorithim uses a 512 byte lookup table for the x values.  
 * This is by far the easiest way that I have been able to find to 
 * implement this algorithm in a machine independent way efficiently.
 */

static unsigned short xtab[256] =
{
   0x0000, 0xc0c1, 0xc181, 0x0140, 0xc301, 0x03c0, 0x0280, 0xc241,
   0xc601, 0x06c0, 0x0780, 0xc741, 0x0500, 0xc5c1, 0xc481, 0x0440,
   0xcc01, 0x0cc0, 0x0d80, 0xcd41, 0x0f00, 0xcfc1, 0xce81, 0x0e40,
   0x0a00, 0xcac1, 0xcb81, 0x0b40, 0xc901, 0x09c0, 0x0880, 0xc841,
   0xd801, 0x18c0, 0x1980, 0xd941, 0x1b00, 0xdbc1, 0xda81, 0x1a40,
   0x1e00, 0xdec1, 0xdf81, 0x1f40, 0xdd01, 0x1dc0, 0x1c80, 0xdc41,
   0x1400, 0xd4c1, 0xd581, 0x1540, 0xd701, 0x17c0, 0x1680, 0xd641,
   0xd201, 0x12c0, 0x1380, 0xd341, 0x1100, 0xd1c1, 0xd081, 0x1040,
   0xf001, 0x30c0, 0x3180, 0xf141, 0x3300, 0xf3c1, 0xf281, 0x3240,
   0x3600, 0xf6c1, 0xf781, 0x3740, 0xf501, 0x35c0, 0x3480, 0xf441,
   0x3c00, 0xfcc1, 0xfd81, 0x3d40, 0xff01, 0x3fc0, 0x3e80, 0xfe41,
   0xfa01, 0x3ac0, 0x3b80, 0xfb41, 0x3900, 0xf9c1, 0xf881, 0x3840,
   0x2800, 0xe8c1, 0xe981, 0x2940, 0xeb01, 0x2bc0, 0x2a80, 0xea41,
   0xee01, 0x2ec0, 0x2f80, 0xef41, 0x2d00, 0xedc1, 0xec81, 0x2c40,
   0xe401, 0x24c0, 0x2580, 0xe541, 0x2700, 0xe7c1, 0xe681, 0x2640,
   0x2200, 0xe2c1, 0xe381, 0x2340, 0xe101, 0x21c0, 0x2080, 0xe041,
   0xa001, 0x60c0, 0x6180, 0xa141, 0x6300, 0xa3c1, 0xa281, 0x6240,
   0x6600, 0xa6c1, 0xa781, 0x6740, 0xa501, 0x65c0, 0x6480, 0xa441,
   0x6c00, 0xacc1, 0xad81, 0x6d40, 0xaf01, 0x6fc0, 0x6e80, 0xae41,
   0xaa01, 0x6ac0, 0x6b80, 0xab41, 0x6900, 0xa9c1, 0xa881, 0x6840,
   0x7800, 0xb8c1, 0xb981, 0x7940, 0xbb01, 0x7bc0, 0x7a80, 0xba41,
   0xbe01, 0x7ec0, 0x7f80, 0xbf41, 0x7d00, 0xbdc1, 0xbc81, 0x7c40,
   0xb401, 0x74c0, 0x7580, 0xb541, 0x7700, 0xb7c1, 0xb681, 0x7640,
   0x7200, 0xb2c1, 0xb381, 0x7340, 0xb101, 0x71c0, 0x7080, 0xb041,
   0x5000, 0x90c1, 0x9181, 0x5140, 0x9301, 0x53c0, 0x5280, 0x9241,
   0x9601, 0x56c0, 0x5780, 0x9741, 0x5500, 0x95c1, 0x9481, 0x5440,
   0x9c01, 0x5cc0, 0x5d80, 0x9d41, 0x5f00, 0x9fc1, 0x9e81, 0x5e40,
   0x5a00, 0x9ac1, 0x9b81, 0x5b40, 0x9901, 0x59c0, 0x5880, 0x9841,
   0x8801, 0x48c0, 0x4980, 0x8941, 0x4b00, 0x8bc1, 0x8a81, 0x4a40,
   0x4e00, 0x8ec1, 0x8f81, 0x4f40, 0x8d01, 0x4dc0, 0x4c80, 0x8c41,
   0x4400, 0x84c1, 0x8581, 0x4540, 0x8701, 0x47c0, 0x4680, 0x8641,
   0x8201, 0x42c0, 0x4380, 0x8341, 0x4100, 0x81c1, 0x8081, 0x4040
};

int crc16(buf, count)
   register char *buf;
   register int  count;
{
   register unsigned int crc = 0;

   while (count--) {
      crc = (crc >> 8) ^ xtab[ (unsigned char) (crc ^ *buf++) ];
   }
   return(crc);
}