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OpenDarwin 7.2.1 - man page for cksum (opendarwin section 1)

CKSUM(1)			   BSD General Commands Manual				 CKSUM(1)

     cksum, sum -- display file checksums and block counts

     cksum [-o 1 | 2 | 3] [file ...]
     sum [file ...]

     The cksum utility writes to the standard output three whitespace separated fields for each
     input file.  These fields are a checksum CRC, the total number of octets in the file and the
     file name.  If no file name is specified, the standard input is used and no file name is

     The sum utility is identical to the cksum utility, except that it defaults to using historic
     algorithm 1, as described below.  It is provided for compatibility only.

     The options are as follows:

     -o      Use historic algorithms instead of the (superior) default one.

	     Algorithm 1 is the algorithm used by historic BSD systems as the sum(1) algorithm
	     and by historic AT&T System V UNIX systems as the sum(1) algorithm when using the -r
	     option.  This is a 16-bit checksum, with a right rotation before each addition;
	     overflow is discarded.

	     Algorithm 2 is the algorithm used by historic AT&T System V UNIX systems as the
	     default sum(1) algorithm.	This is a 32-bit checksum, and is defined as follows:

		   s = sum of all bytes;
		   r = s % 2^16 + (s % 2^32) / 2^16;
		   cksum = (r % 2^16) + r / 2^16;

	     Algorithm 3 is what is commonly called the '32bit CRC' algorithm.	This is a 32-bit

	     Both algorithm 1 and 2 write to the standard output the same fields as the default
	     algorithm except that the size of the file in bytes is replaced with the size of the
	     file in blocks.  For historic reasons, the block size is 1024 for algorithm 1 and
	     512 for algorithm 2.  Partial blocks are rounded up.

     The default CRC used is based on the polynomial used for CRC error checking in the network-
     ing standard ISO/IEC 8802-3:1989.	The CRC checksum encoding is defined by the generating

	   G(x) = 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

     Mathematically, the CRC value corresponding to a given file is defined by the following pro-

	   The n bits to be evaluated are considered to be the coefficients of a mod 2 polynomial
	   M(x) of degree n-1.	These n bits are the bits from the file, with the most signifi-
	   cant bit being the most significant bit of the first octet of the file and the last
	   bit being the least significant bit of the last octet, padded with zero bits (if nec-
	   essary) to achieve an integral number of octets, followed by one or more octets repre-
	   senting the length of the file as a binary value, least significant octet first.  The
	   smallest number of octets capable of representing this integer are used.

	   M(x) is multiplied by x^32 (i.e., shifted left 32 bits) and divided by G(x) using mod
	   2 division, producing a remainder R(x) of degree <= 31.

	   The coefficients of R(x) are considered to be a 32-bit sequence.

	   The bit sequence is complemented and the result is the CRC.

     The cksum and sum utilities exit 0 on success, and >0 if an error occurs.


     The default calculation is identical to that given in pseudo-code in the following ACM arti-

     Dilip V. Sarwate, "Computation of Cyclic Redundancy Checks Via Table Lookup", Communications
     of the ACM, August 1988.

     The cksum utility is expected to conform to IEEE Std 1003.2-1992 (``POSIX.2'').

     The cksum utility appeared in 4.4BSD.

BSD					  April 28, 1995				      BSD

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