Top Document: comp.compression Frequently Asked Questions (part 1/3)
As its name implies (Cyclic Redundancy Check) a crc adds redundancy whereas
the topic of this group is to remove it. Yet this question comes up often in
comp.compression.
The file ftp://ftp.rocksoft.com/clients/rocksoft/papers/ is a pretty
comprehensive description of the whole CRC concept, including a C program.
See also:
- Schwaderer W.D., "CRC Calculation", April 85 PC Tech Journal, pp.118-133.
- "Calculating CRCs by Bits and Bytes", BYTE Magazine, September 1986
- Ramabadran T.V., Gaitonde S.S., "A tutorial on CRC computations", IEEE
Micro, Aug 1988.
- the source of all archivers, such as the file makecrc.c in the Info-ZIP
sources (see extension .zip in item 2)
For the related topic of Reed-Solomon encoding, see the Error Correcting Codes
Home Page http://hideki.iis.u-tokyo.ac.jp/~robert/codes.html
The following C code (by Rob Warnock <rpw3@sgi.com>) does CRC-32 in
BigEndian/BigEndian byte/bit order. That is, the data is sent most
significant byte first, and each of the bits within a byte is sent most
significant bit first, as in FDDI. You will need to twiddle with it to do
Ethernet CRC, i.e., BigEndian/LittleEndian byte/bit order. [Left as an
exercise for the reader.]
The CRCs this code generates agree with the vendor-supplied Verilog models
of several of the popular FDDI "MAC" chips.
u_long crc32_table[256];
/* Initialized first time "crc32()" is called. If you prefer, you can
* statically initialize it at compile time. [Another exercise.]
*/
u_long crc32(u_char *buf, int len)
{
u_char *p;
u_long crc;
if (!crc32_table[1]) /* if not already done, */
init_crc32(); /* build table */
crc = 0xffffffff; /* preload shift register, per CRC-32 spec */
for (p = buf; len > 0; ++p, --len)
crc = (crc << 8) ^ crc32_table[(crc >> 24) ^ *p];
return ~crc; /* transmit complement, per CRC-32 spec */
}
/*
* Build auxiliary table for parallel byte-at-a-time CRC-32.
*/
#define CRC32_POLY 0x04c11db7 /* AUTODIN II, Ethernet, & FDDI */
init_crc32()
{
int i, j;
u_long c;
for (i = 0; i < 256; ++i) {
for (c = i << 24, j = 8; j > 0; --j)
c = c & 0x80000000 ? (c << 1) ^ CRC32_POLY : (c << 1);
crc32_table[i] = c;
}
}
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