5 * Routines to generate, calculate, and test a 16-bit CRC.
8 * The CRC code was devised by Don P. Mitchell of AT&T Bell Laboratories
9 * and Ned W. Rhodes of Software Systems Group. It has been published in
10 * "Design and Validation of Computer Protocols", Prentice Hall,
11 * Englewood Cliffs, NJ, 1991, Chapter 3, ISBN 0-13-539925-4.
13 * Copyright is held by AT&T.
15 * AT&T gives permission for the free use of the CRC source code.
18 * This file is distributed under the terms of the GNU General Public
19 * License (GPL). Copies of the GPL can be obtained from:
20 * ftp://prep.ai.mit.edu/pub/gnu/GPL
21 * Each contributing author retains all rights to their own work.
26 static uint16_t crc_table
[256] = {
27 0x0000U
, 0x1021U
, 0x2042U
, 0x3063U
, 0x4084U
, 0x50a5U
, 0x60c6U
, 0x70e7U
,
28 0x8108U
, 0x9129U
, 0xa14aU
, 0xb16bU
, 0xc18cU
, 0xd1adU
, 0xe1ceU
, 0xf1efU
,
29 0x1231U
, 0x0210U
, 0x3273U
, 0x2252U
, 0x52b5U
, 0x4294U
, 0x72f7U
, 0x62d6U
,
30 0x9339U
, 0x8318U
, 0xb37bU
, 0xa35aU
, 0xd3bdU
, 0xc39cU
, 0xf3ffU
, 0xe3deU
,
31 0x2462U
, 0x3443U
, 0x0420U
, 0x1401U
, 0x64e6U
, 0x74c7U
, 0x44a4U
, 0x5485U
,
32 0xa56aU
, 0xb54bU
, 0x8528U
, 0x9509U
, 0xe5eeU
, 0xf5cfU
, 0xc5acU
, 0xd58dU
,
33 0x3653U
, 0x2672U
, 0x1611U
, 0x0630U
, 0x76d7U
, 0x66f6U
, 0x5695U
, 0x46b4U
,
34 0xb75bU
, 0xa77aU
, 0x9719U
, 0x8738U
, 0xf7dfU
, 0xe7feU
, 0xd79dU
, 0xc7bcU
,
35 0x48c4U
, 0x58e5U
, 0x6886U
, 0x78a7U
, 0x0840U
, 0x1861U
, 0x2802U
, 0x3823U
,
36 0xc9ccU
, 0xd9edU
, 0xe98eU
, 0xf9afU
, 0x8948U
, 0x9969U
, 0xa90aU
, 0xb92bU
,
37 0x5af5U
, 0x4ad4U
, 0x7ab7U
, 0x6a96U
, 0x1a71U
, 0x0a50U
, 0x3a33U
, 0x2a12U
,
38 0xdbfdU
, 0xcbdcU
, 0xfbbfU
, 0xeb9eU
, 0x9b79U
, 0x8b58U
, 0xbb3bU
, 0xab1aU
,
39 0x6ca6U
, 0x7c87U
, 0x4ce4U
, 0x5cc5U
, 0x2c22U
, 0x3c03U
, 0x0c60U
, 0x1c41U
,
40 0xedaeU
, 0xfd8fU
, 0xcdecU
, 0xddcdU
, 0xad2aU
, 0xbd0bU
, 0x8d68U
, 0x9d49U
,
41 0x7e97U
, 0x6eb6U
, 0x5ed5U
, 0x4ef4U
, 0x3e13U
, 0x2e32U
, 0x1e51U
, 0x0e70U
,
42 0xff9fU
, 0xefbeU
, 0xdfddU
, 0xcffcU
, 0xbf1bU
, 0xaf3aU
, 0x9f59U
, 0x8f78U
,
43 0x9188U
, 0x81a9U
, 0xb1caU
, 0xa1ebU
, 0xd10cU
, 0xc12dU
, 0xf14eU
, 0xe16fU
,
44 0x1080U
, 0x00a1U
, 0x30c2U
, 0x20e3U
, 0x5004U
, 0x4025U
, 0x7046U
, 0x6067U
,
45 0x83b9U
, 0x9398U
, 0xa3fbU
, 0xb3daU
, 0xc33dU
, 0xd31cU
, 0xe37fU
, 0xf35eU
,
46 0x02b1U
, 0x1290U
, 0x22f3U
, 0x32d2U
, 0x4235U
, 0x5214U
, 0x6277U
, 0x7256U
,
47 0xb5eaU
, 0xa5cbU
, 0x95a8U
, 0x8589U
, 0xf56eU
, 0xe54fU
, 0xd52cU
, 0xc50dU
,
48 0x34e2U
, 0x24c3U
, 0x14a0U
, 0x0481U
, 0x7466U
, 0x6447U
, 0x5424U
, 0x4405U
,
49 0xa7dbU
, 0xb7faU
, 0x8799U
, 0x97b8U
, 0xe75fU
, 0xf77eU
, 0xc71dU
, 0xd73cU
,
50 0x26d3U
, 0x36f2U
, 0x0691U
, 0x16b0U
, 0x6657U
, 0x7676U
, 0x4615U
, 0x5634U
,
51 0xd94cU
, 0xc96dU
, 0xf90eU
, 0xe92fU
, 0x99c8U
, 0x89e9U
, 0xb98aU
, 0xa9abU
,
52 0x5844U
, 0x4865U
, 0x7806U
, 0x6827U
, 0x18c0U
, 0x08e1U
, 0x3882U
, 0x28a3U
,
53 0xcb7dU
, 0xdb5cU
, 0xeb3fU
, 0xfb1eU
, 0x8bf9U
, 0x9bd8U
, 0xabbbU
, 0xbb9aU
,
54 0x4a75U
, 0x5a54U
, 0x6a37U
, 0x7a16U
, 0x0af1U
, 0x1ad0U
, 0x2ab3U
, 0x3a92U
,
55 0xfd2eU
, 0xed0fU
, 0xdd6cU
, 0xcd4dU
, 0xbdaaU
, 0xad8bU
, 0x9de8U
, 0x8dc9U
,
56 0x7c26U
, 0x6c07U
, 0x5c64U
, 0x4c45U
, 0x3ca2U
, 0x2c83U
, 0x1ce0U
, 0x0cc1U
,
57 0xef1fU
, 0xff3eU
, 0xcf5dU
, 0xdf7cU
, 0xaf9bU
, 0xbfbaU
, 0x8fd9U
, 0x9ff8U
,
58 0x6e17U
, 0x7e36U
, 0x4e55U
, 0x5e74U
, 0x2e93U
, 0x3eb2U
, 0x0ed1U
, 0x1ef0U
65 * Calculate a 16-bit CRC checksum using ITU-T V.41 polynomial.
68 * The OSTA-UDF(tm) 1.50 standard states that using CRCs is mandatory.
69 * The polynomial used is: x^16 + x^12 + x^15 + 1
72 * data Pointer to the data block.
73 * size Size of the data block.
76 * <return> CRC of the data block.
79 * July 21, 1997 - Andrew E. Mileski
80 * Adapted from OSTA-UDF(tm) 1.50 standard.
82 uint16_t udf_crc(uint8_t * data
, uint32_t size
, uint16_t crc
)
85 crc
= crc_table
[(crc
>> 8 ^ *(data
++)) & 0xffU
] ^ (crc
<< 8);
90 /****************************************************************************/
98 * July 21, 1997 - Andrew E. Mileski
99 * Adapted from OSTA-UDF(tm) 1.50 standard.
102 unsigned char bytes
[] = { 0x70U
, 0x6AU
, 0x77U
};
108 x
= udf_crc(bytes
, sizeof bytes
);
109 printf("udf_crc: calculated = %4.4x, correct = %4.4x\n", x
, 0x3299U
);
114 #endif /* defined(TEST) */
116 /****************************************************************************/
117 #if defined(GENERATE)
121 * Generate a table for fast 16-bit CRC calculations (any polynomial).
124 * The ITU-T V.41 polynomial is 010041.
127 * July 21, 1997 - Andrew E. Mileski
128 * Adapted from OSTA-UDF(tm) 1.50 standard.
133 int main(int argc
, char **argv
)
135 unsigned long crc
, poly
;
138 /* Get the polynomial */
139 sscanf(argv
[1], "%lo", &poly
);
140 if (poly
& 0xffff0000U
) {
141 fprintf(stderr
, "polynomial is too large\en");
145 printf("/* CRC 0%o */\n", poly
);
148 printf("static unsigned short crc_table[256] = {\n");
149 for (n
= 0; n
< 256; n
++) {
153 for (i
= 0; i
< 8; i
++) {
155 crc
= (crc
<< 1) ^ poly
;
161 printf("0x%04xU ", crc
);
163 printf("0x%04xU, ", crc
);
172 #endif /* defined(GENERATE) */