1 /*- 2 * COPYRIGHT (C) 1986 Gary S. Brown. You may use this program, or 3 * code or tables extracted from it, as desired without restriction. 4 */ 5 6 /* 7 * First, the polynomial itself and its table of feedback terms. The 8 * polynomial is 9 * 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 10 * 11 * Note that we take it "backwards" and put the highest-order term in 12 * the lowest-order bit. The X^32 term is "implied"; the LSB is the 13 * X^31 term, etc. The X^0 term (usually shown as "+1") results in 14 * the MSB being 1 15 * 16 * Note that the usual hardware shift register implementation, which 17 * is what we're using (we're merely optimizing it by doing eight-bit 18 * chunks at a time) shifts bits into the lowest-order term. In our 19 * implementation, that means shifting towards the right. Why do we 20 * do it this way? Because the calculated CRC must be transmitted in 21 * order from highest-order term to lowest-order term. UARTs transmit 22 * characters in order from LSB to MSB. By storing the CRC this way 23 * we hand it to the UART in the order low-byte to high-byte; the UART 24 * sends each low-bit to hight-bit; and the result is transmission bit 25 * by bit from highest- to lowest-order term without requiring any bit 26 * shuffling on our part. Reception works similarly 27 * 28 * The feedback terms table consists of 256, 32-bit entries. Notes 29 * 30 * The table can be generated at runtime if desired; code to do so 31 * is shown later. It might not be obvious, but the feedback 32 * terms simply represent the results of eight shift/xor opera 33 * tions for all combinations of data and CRC register values 34 * 35 * The values must be right-shifted by eight bits by the "updcrc 36 * logic; the shift must be unsigned (bring in zeroes). On some 37 * hardware you could probably optimize the shift in assembler by 38 * using byte-swap instructions 39 * polynomial $edb88320 40 * 41 * 42 * CRC32 code derived from work by Gary S. Brown. 43 */ 44 45 /* Code taken from FreeBSD 8 */ 46 #include <stdint.h> 47 48 static uint32_t crc32_tab[] = { 49 0x00000000, 0x77073096, 0xee0e612c, 0x990951ba, 0x076dc419, 0x706af48f, 50 0xe963a535, 0x9e6495a3, 0x0edb8832, 0x79dcb8a4, 0xe0d5e91e, 0x97d2d988, 51 0x09b64c2b, 0x7eb17cbd, 0xe7b82d07, 0x90bf1d91, 0x1db71064, 0x6ab020f2, 52 0xf3b97148, 0x84be41de, 0x1adad47d, 0x6ddde4eb, 0xf4d4b551, 0x83d385c7, 53 0x136c9856, 0x646ba8c0, 0xfd62f97a, 0x8a65c9ec, 0x14015c4f, 0x63066cd9, 54 0xfa0f3d63, 0x8d080df5, 0x3b6e20c8, 0x4c69105e, 0xd56041e4, 0xa2677172, 55 0x3c03e4d1, 0x4b04d447, 0xd20d85fd, 0xa50ab56b, 0x35b5a8fa, 0x42b2986c, 56 0xdbbbc9d6, 0xacbcf940, 0x32d86ce3, 0x45df5c75, 0xdcd60dcf, 0xabd13d59, 57 0x26d930ac, 0x51de003a, 0xc8d75180, 0xbfd06116, 0x21b4f4b5, 0x56b3c423, 58 0xcfba9599, 0xb8bda50f, 0x2802b89e, 0x5f058808, 0xc60cd9b2, 0xb10be924, 59 0x2f6f7c87, 0x58684c11, 0xc1611dab, 0xb6662d3d, 0x76dc4190, 0x01db7106, 60 0x98d220bc, 0xefd5102a, 0x71b18589, 0x06b6b51f, 0x9fbfe4a5, 0xe8b8d433, 61 0x7807c9a2, 0x0f00f934, 0x9609a88e, 0xe10e9818, 0x7f6a0dbb, 0x086d3d2d, 62 0x91646c97, 0xe6635c01, 0x6b6b51f4, 0x1c6c6162, 0x856530d8, 0xf262004e, 63 0x6c0695ed, 0x1b01a57b, 0x8208f4c1, 0xf50fc457, 0x65b0d9c6, 0x12b7e950, 64 0x8bbeb8ea, 0xfcb9887c, 0x62dd1ddf, 0x15da2d49, 0x8cd37cf3, 0xfbd44c65, 65 0x4db26158, 0x3ab551ce, 0xa3bc0074, 0xd4bb30e2, 0x4adfa541, 0x3dd895d7, 66 0xa4d1c46d, 0xd3d6f4fb, 0x4369e96a, 0x346ed9fc, 0xad678846, 0xda60b8d0, 67 0x44042d73, 0x33031de5, 0xaa0a4c5f, 0xdd0d7cc9, 0x5005713c, 0x270241aa, 68 0xbe0b1010, 0xc90c2086, 0x5768b525, 0x206f85b3, 0xb966d409, 0xce61e49f, 69 0x5edef90e, 0x29d9c998, 0xb0d09822, 0xc7d7a8b4, 0x59b33d17, 0x2eb40d81, 70 0xb7bd5c3b, 0xc0ba6cad, 0xedb88320, 0x9abfb3b6, 0x03b6e20c, 0x74b1d29a, 71 0xead54739, 0x9dd277af, 0x04db2615, 0x73dc1683, 0xe3630b12, 0x94643b84, 72 0x0d6d6a3e, 0x7a6a5aa8, 0xe40ecf0b, 0x9309ff9d, 0x0a00ae27, 0x7d079eb1, 73 0xf00f9344, 0x8708a3d2, 0x1e01f268, 0x6906c2fe, 0xf762575d, 0x806567cb, 74 0x196c3671, 0x6e6b06e7, 0xfed41b76, 0x89d32be0, 0x10da7a5a, 0x67dd4acc, 75 0xf9b9df6f, 0x8ebeeff9, 0x17b7be43, 0x60b08ed5, 0xd6d6a3e8, 0xa1d1937e, 76 0x38d8c2c4, 0x4fdff252, 0xd1bb67f1, 0xa6bc5767, 0x3fb506dd, 0x48b2364b, 77 0xd80d2bda, 0xaf0a1b4c, 0x36034af6, 0x41047a60, 0xdf60efc3, 0xa867df55, 78 0x316e8eef, 0x4669be79, 0xcb61b38c, 0xbc66831a, 0x256fd2a0, 0x5268e236, 79 0xcc0c7795, 0xbb0b4703, 0x220216b9, 0x5505262f, 0xc5ba3bbe, 0xb2bd0b28, 80 0x2bb45a92, 0x5cb36a04, 0xc2d7ffa7, 0xb5d0cf31, 0x2cd99e8b, 0x5bdeae1d, 81 0x9b64c2b0, 0xec63f226, 0x756aa39c, 0x026d930a, 0x9c0906a9, 0xeb0e363f, 82 0x72076785, 0x05005713, 0x95bf4a82, 0xe2b87a14, 0x7bb12bae, 0x0cb61b38, 83 0x92d28e9b, 0xe5d5be0d, 0x7cdcefb7, 0x0bdbdf21, 0x86d3d2d4, 0xf1d4e242, 84 0x68ddb3f8, 0x1fda836e, 0x81be16cd, 0xf6b9265b, 0x6fb077e1, 0x18b74777, 85 0x88085ae6, 0xff0f6a70, 0x66063bca, 0x11010b5c, 0x8f659eff, 0xf862ae69, 86 0x616bffd3, 0x166ccf45, 0xa00ae278, 0xd70dd2ee, 0x4e048354, 0x3903b3c2, 87 0xa7672661, 0xd06016f7, 0x4969474d, 0x3e6e77db, 0xaed16a4a, 0xd9d65adc, 88 0x40df0b66, 0x37d83bf0, 0xa9bcae53, 0xdebb9ec5, 0x47b2cf7f, 0x30b5ffe9, 89 0xbdbdf21c, 0xcabac28a, 0x53b39330, 0x24b4a3a6, 0xbad03605, 0xcdd70693, 90 0x54de5729, 0x23d967bf, 0xb3667a2e, 0xc4614ab8, 0x5d681b02, 0x2a6f2b94, 91 0xb40bbe37, 0xc30c8ea1, 0x5a05df1b, 0x2d02ef8d 92 }; 93 94 /* 95 * A function that calculates the CRC-32 based on the table above is 96 * given below for documentation purposes. An equivalent implementation 97 * of this function that's actually used in the kernel can be found 98 * in sys/libkern.h, where it can be inlined. 99 */ 100 101 uint32_t sparse_crc32(uint32_t crc_in, const void *buf, int size) 102 { 103 const uint8_t *p = buf; 104 uint32_t crc; 105 106 crc = crc_in ^ ~0U; 107 while (size--) 108 crc = crc32_tab[(crc ^ *p++) & 0xFF] ^ (crc >> 8); 109 return crc ^ ~0U; 110 } 111 112
