linux/lib/crc32.c
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   1/*
   2 * Oct 15, 2000 Matt Domsch <Matt_Domsch@dell.com>
   3 * Nicer crc32 functions/docs submitted by linux@horizon.com.  Thanks!
   4 * Code was from the public domain, copyright abandoned.  Code was
   5 * subsequently included in the kernel, thus was re-licensed under the
   6 * GNU GPL v2.
   7 *
   8 * Oct 12, 2000 Matt Domsch <Matt_Domsch@dell.com>
   9 * Same crc32 function was used in 5 other places in the kernel.
  10 * I made one version, and deleted the others.
  11 * There are various incantations of crc32().  Some use a seed of 0 or ~0.
  12 * Some xor at the end with ~0.  The generic crc32() function takes
  13 * seed as an argument, and doesn't xor at the end.  Then individual
  14 * users can do whatever they need.
  15 *   drivers/net/smc9194.c uses seed ~0, doesn't xor with ~0.
  16 *   fs/jffs2 uses seed 0, doesn't xor with ~0.
  17 *   fs/partitions/efi.c uses seed ~0, xor's with ~0.
  18 *
  19 * This source code is licensed under the GNU General Public License,
  20 * Version 2.  See the file COPYING for more details.
  21 */
  22
  23#include <linux/crc32.h>
  24#include <linux/kernel.h>
  25#include <linux/module.h>
  26#include <linux/compiler.h>
  27#include <linux/types.h>
  28#include <linux/init.h>
  29#include <linux/atomic.h>
  30#include "crc32defs.h"
  31#if CRC_LE_BITS == 8
  32# define tole(x) __constant_cpu_to_le32(x)
  33#else
  34# define tole(x) (x)
  35#endif
  36
  37#if CRC_BE_BITS == 8
  38# define tobe(x) __constant_cpu_to_be32(x)
  39#else
  40# define tobe(x) (x)
  41#endif
  42#include "crc32table.h"
  43
  44MODULE_AUTHOR("Matt Domsch <Matt_Domsch@dell.com>");
  45MODULE_DESCRIPTION("Ethernet CRC32 calculations");
  46MODULE_LICENSE("GPL");
  47
  48#if CRC_LE_BITS == 8 || CRC_BE_BITS == 8
  49
  50static inline u32
  51crc32_body(u32 crc, unsigned char const *buf, size_t len, const u32 (*tab)[256])
  52{
  53# ifdef __LITTLE_ENDIAN
  54#  define DO_CRC(x) crc = t0[(crc ^ (x)) & 255] ^ (crc >> 8)
  55#  define DO_CRC4 crc = t3[(crc) & 255] ^ \
  56                t2[(crc >> 8) & 255] ^ \
  57                t1[(crc >> 16) & 255] ^ \
  58                t0[(crc >> 24) & 255]
  59# else
  60#  define DO_CRC(x) crc = t0[((crc >> 24) ^ (x)) & 255] ^ (crc << 8)
  61#  define DO_CRC4 crc = t0[(crc) & 255] ^ \
  62                t1[(crc >> 8) & 255] ^  \
  63                t2[(crc >> 16) & 255] ^ \
  64                t3[(crc >> 24) & 255]
  65# endif
  66        const u32 *b;
  67        size_t    rem_len;
  68        const u32 *t0=tab[0], *t1=tab[1], *t2=tab[2], *t3=tab[3];
  69
  70        /* Align it */
  71        if (unlikely((long)buf & 3 && len)) {
  72                do {
  73                        DO_CRC(*buf++);
  74                } while ((--len) && ((long)buf)&3);
  75        }
  76        rem_len = len & 3;
  77        /* load data 32 bits wide, xor data 32 bits wide. */
  78        len = len >> 2;
  79        b = (const u32 *)buf;
  80        for (--b; len; --len) {
  81                crc ^= *++b; /* use pre increment for speed */
  82                DO_CRC4;
  83        }
  84        len = rem_len;
  85        /* And the last few bytes */
  86        if (len) {
  87                u8 *p = (u8 *)(b + 1) - 1;
  88                do {
  89                        DO_CRC(*++p); /* use pre increment for speed */
  90                } while (--len);
  91        }
  92        return crc;
  93#undef DO_CRC
  94#undef DO_CRC4
  95}
  96#endif
  97/**
  98 * crc32_le() - Calculate bitwise little-endian Ethernet AUTODIN II CRC32
  99 * @crc: seed value for computation.  ~0 for Ethernet, sometimes 0 for
 100 *      other uses, or the previous crc32 value if computing incrementally.
 101 * @p: pointer to buffer over which CRC is run
 102 * @len: length of buffer @p
 103 */
 104u32 __pure crc32_le(u32 crc, unsigned char const *p, size_t len);
 105
 106#if CRC_LE_BITS == 1
 107/*
 108 * In fact, the table-based code will work in this case, but it can be
 109 * simplified by inlining the table in ?: form.
 110 */
 111
 112u32 __pure crc32_le(u32 crc, unsigned char const *p, size_t len)
 113{
 114        int i;
 115        while (len--) {
 116                crc ^= *p++;
 117                for (i = 0; i < 8; i++)
 118                        crc = (crc >> 1) ^ ((crc & 1) ? CRCPOLY_LE : 0);
 119        }
 120        return crc;
 121}
 122#else                           /* Table-based approach */
 123
 124u32 __pure crc32_le(u32 crc, unsigned char const *p, size_t len)
 125{
 126# if CRC_LE_BITS == 8
 127        const u32      (*tab)[] = crc32table_le;
 128
 129        crc = __cpu_to_le32(crc);
 130        crc = crc32_body(crc, p, len, tab);
 131        return __le32_to_cpu(crc);
 132# elif CRC_LE_BITS == 4
 133        while (len--) {
 134                crc ^= *p++;
 135                crc = (crc >> 4) ^ crc32table_le[crc & 15];
 136                crc = (crc >> 4) ^ crc32table_le[crc & 15];
 137        }
 138        return crc;
 139# elif CRC_LE_BITS == 2
 140        while (len--) {
 141                crc ^= *p++;
 142                crc = (crc >> 2) ^ crc32table_le[crc & 3];
 143                crc = (crc >> 2) ^ crc32table_le[crc & 3];
 144                crc = (crc >> 2) ^ crc32table_le[crc & 3];
 145                crc = (crc >> 2) ^ crc32table_le[crc & 3];
 146        }
 147        return crc;
 148# endif
 149}
 150#endif
 151
 152/**
 153 * crc32_be() - Calculate bitwise big-endian Ethernet AUTODIN II CRC32
 154 * @crc: seed value for computation.  ~0 for Ethernet, sometimes 0 for
 155 *      other uses, or the previous crc32 value if computing incrementally.
 156 * @p: pointer to buffer over which CRC is run
 157 * @len: length of buffer @p
 158 */
 159u32 __pure crc32_be(u32 crc, unsigned char const *p, size_t len);
 160
 161#if CRC_BE_BITS == 1
 162/*
 163 * In fact, the table-based code will work in this case, but it can be
 164 * simplified by inlining the table in ?: form.
 165 */
 166
 167u32 __pure crc32_be(u32 crc, unsigned char const *p, size_t len)
 168{
 169        int i;
 170        while (len--) {
 171                crc ^= *p++ << 24;
 172                for (i = 0; i < 8; i++)
 173                        crc =
 174                            (crc << 1) ^ ((crc & 0x80000000) ? CRCPOLY_BE :
 175                                          0);
 176        }
 177        return crc;
 178}
 179
 180#else                           /* Table-based approach */
 181u32 __pure crc32_be(u32 crc, unsigned char const *p, size_t len)
 182{
 183# if CRC_BE_BITS == 8
 184        const u32      (*tab)[] = crc32table_be;
 185
 186        crc = __cpu_to_be32(crc);
 187        crc = crc32_body(crc, p, len, tab);
 188        return __be32_to_cpu(crc);
 189# elif CRC_BE_BITS == 4
 190        while (len--) {
 191                crc ^= *p++ << 24;
 192                crc = (crc << 4) ^ crc32table_be[crc >> 28];
 193                crc = (crc << 4) ^ crc32table_be[crc >> 28];
 194        }
 195        return crc;
 196# elif CRC_BE_BITS == 2
 197        while (len--) {
 198                crc ^= *p++ << 24;
 199                crc = (crc << 2) ^ crc32table_be[crc >> 30];
 200                crc = (crc << 2) ^ crc32table_be[crc >> 30];
 201                crc = (crc << 2) ^ crc32table_be[crc >> 30];
 202                crc = (crc << 2) ^ crc32table_be[crc >> 30];
 203        }
 204        return crc;
 205# endif
 206}
 207#endif
 208
 209EXPORT_SYMBOL(crc32_le);
 210EXPORT_SYMBOL(crc32_be);
 211
 212/*
 213 * A brief CRC tutorial.
 214 *
 215 * A CRC is a long-division remainder.  You add the CRC to the message,
 216 * and the whole thing (message+CRC) is a multiple of the given
 217 * CRC polynomial.  To check the CRC, you can either check that the
 218 * CRC matches the recomputed value, *or* you can check that the
 219 * remainder computed on the message+CRC is 0.  This latter approach
 220 * is used by a lot of hardware implementations, and is why so many
 221 * protocols put the end-of-frame flag after the CRC.
 222 *
 223 * It's actually the same long division you learned in school, except that
 224 * - We're working in binary, so the digits are only 0 and 1, and
 225 * - When dividing polynomials, there are no carries.  Rather than add and
 226 *   subtract, we just xor.  Thus, we tend to get a bit sloppy about
 227 *   the difference between adding and subtracting.
 228 *
 229 * A 32-bit CRC polynomial is actually 33 bits long.  But since it's
 230 * 33 bits long, bit 32 is always going to be set, so usually the CRC
 231 * is written in hex with the most significant bit omitted.  (If you're
 232 * familiar with the IEEE 754 floating-point format, it's the same idea.)
 233 *
 234 * Note that a CRC is computed over a string of *bits*, so you have
 235 * to decide on the endianness of the bits within each byte.  To get
 236 * the best error-detecting properties, this should correspond to the
 237 * order they're actually sent.  For example, standard RS-232 serial is
 238 * little-endian; the most significant bit (sometimes used for parity)
 239 * is sent last.  And when appending a CRC word to a message, you should
 240 * do it in the right order, matching the endianness.
 241 *
 242 * Just like with ordinary division, the remainder is always smaller than
 243 * the divisor (the CRC polynomial) you're dividing by.  Each step of the
 244 * division, you take one more digit (bit) of the dividend and append it
 245 * to the current remainder.  Then you figure out the appropriate multiple
 246 * of the divisor to subtract to being the remainder back into range.
 247 * In binary, it's easy - it has to be either 0 or 1, and to make the
 248 * XOR cancel, it's just a copy of bit 32 of the remainder.
 249 *
 250 * When computing a CRC, we don't care about the quotient, so we can
 251 * throw the quotient bit away, but subtract the appropriate multiple of
 252 * the polynomial from the remainder and we're back to where we started,
 253 * ready to process the next bit.
 254 *
 255 * A big-endian CRC written this way would be coded like:
 256 * for (i = 0; i < input_bits; i++) {
 257 *      multiple = remainder & 0x80000000 ? CRCPOLY : 0;
 258 *      remainder = (remainder << 1 | next_input_bit()) ^ multiple;
 259 * }
 260 * Notice how, to get at bit 32 of the shifted remainder, we look
 261 * at bit 31 of the remainder *before* shifting it.
 262 *
 263 * But also notice how the next_input_bit() bits we're shifting into
 264 * the remainder don't actually affect any decision-making until
 265 * 32 bits later.  Thus, the first 32 cycles of this are pretty boring.
 266 * Also, to add the CRC to a message, we need a 32-bit-long hole for it at
 267 * the end, so we have to add 32 extra cycles shifting in zeros at the
 268 * end of every message,
 269 *
 270 * So the standard trick is to rearrage merging in the next_input_bit()
 271 * until the moment it's needed.  Then the first 32 cycles can be precomputed,
 272 * and merging in the final 32 zero bits to make room for the CRC can be
 273 * skipped entirely.
 274 * This changes the code to:
 275 * for (i = 0; i < input_bits; i++) {
 276 *      remainder ^= next_input_bit() << 31;
 277 *      multiple = (remainder & 0x80000000) ? CRCPOLY : 0;
 278 *      remainder = (remainder << 1) ^ multiple;
 279 * }
 280 * With this optimization, the little-endian code is simpler:
 281 * for (i = 0; i < input_bits; i++) {
 282 *      remainder ^= next_input_bit();
 283 *      multiple = (remainder & 1) ? CRCPOLY : 0;
 284 *      remainder = (remainder >> 1) ^ multiple;
 285 * }
 286 *
 287 * Note that the other details of endianness have been hidden in CRCPOLY
 288 * (which must be bit-reversed) and next_input_bit().
 289 *
 290 * However, as long as next_input_bit is returning the bits in a sensible
 291 * order, we can actually do the merging 8 or more bits at a time rather
 292 * than one bit at a time:
 293 * for (i = 0; i < input_bytes; i++) {
 294 *      remainder ^= next_input_byte() << 24;
 295 *      for (j = 0; j < 8; j++) {
 296 *              multiple = (remainder & 0x80000000) ? CRCPOLY : 0;
 297 *              remainder = (remainder << 1) ^ multiple;
 298 *      }
 299 * }
 300 * Or in little-endian:
 301 * for (i = 0; i < input_bytes; i++) {
 302 *      remainder ^= next_input_byte();
 303 *      for (j = 0; j < 8; j++) {
 304 *              multiple = (remainder & 1) ? CRCPOLY : 0;
 305 *              remainder = (remainder << 1) ^ multiple;
 306 *      }
 307 * }
 308 * If the input is a multiple of 32 bits, you can even XOR in a 32-bit
 309 * word at a time and increase the inner loop count to 32.
 310 *
 311 * You can also mix and match the two loop styles, for example doing the
 312 * bulk of a message byte-at-a-time and adding bit-at-a-time processing
 313 * for any fractional bytes at the end.
 314 *
 315 * The only remaining optimization is to the byte-at-a-time table method.
 316 * Here, rather than just shifting one bit of the remainder to decide
 317 * in the correct multiple to subtract, we can shift a byte at a time.
 318 * This produces a 40-bit (rather than a 33-bit) intermediate remainder,
 319 * but again the multiple of the polynomial to subtract depends only on
 320 * the high bits, the high 8 bits in this case.  
 321 *
 322 * The multiple we need in that case is the low 32 bits of a 40-bit
 323 * value whose high 8 bits are given, and which is a multiple of the
 324 * generator polynomial.  This is simply the CRC-32 of the given
 325 * one-byte message.
 326 *
 327 * Two more details: normally, appending zero bits to a message which
 328 * is already a multiple of a polynomial produces a larger multiple of that
 329 * polynomial.  To enable a CRC to detect this condition, it's common to
 330 * invert the CRC before appending it.  This makes the remainder of the
 331 * message+crc come out not as zero, but some fixed non-zero value.
 332 *
 333 * The same problem applies to zero bits prepended to the message, and
 334 * a similar solution is used.  Instead of starting with a remainder of
 335 * 0, an initial remainder of all ones is used.  As long as you start
 336 * the same way on decoding, it doesn't make a difference.
 337 */
 338
 339#ifdef UNITTEST
 340
 341#include <stdlib.h>
 342#include <stdio.h>
 343
 344#if 0                           /*Not used at present */
 345static void
 346buf_dump(char const *prefix, unsigned char const *buf, size_t len)
 347{
 348        fputs(prefix, stdout);
 349        while (len--)
 350                printf(" %02x", *buf++);
 351        putchar('\n');
 352
 353}
 354#endif
 355
 356static void bytereverse(unsigned char *buf, size_t len)
 357{
 358        while (len--) {
 359                unsigned char x = bitrev8(*buf);
 360                *buf++ = x;
 361        }
 362}
 363
 364static void random_garbage(unsigned char *buf, size_t len)
 365{
 366        while (len--)
 367                *buf++ = (unsigned char) random();
 368}
 369
 370#if 0                           /* Not used at present */
 371static void store_le(u32 x, unsigned char *buf)
 372{
 373        buf[0] = (unsigned char) x;
 374        buf[1] = (unsigned char) (x >> 8);
 375        buf[2] = (unsigned char) (x >> 16);
 376        buf[3] = (unsigned char) (x >> 24);
 377}
 378#endif
 379
 380static void store_be(u32 x, unsigned char *buf)
 381{
 382        buf[0] = (unsigned char) (x >> 24);
 383        buf[1] = (unsigned char) (x >> 16);
 384        buf[2] = (unsigned char) (x >> 8);
 385        buf[3] = (unsigned char) x;
 386}
 387
 388/*
 389 * This checks that CRC(buf + CRC(buf)) = 0, and that
 390 * CRC commutes with bit-reversal.  This has the side effect
 391 * of bytewise bit-reversing the input buffer, and returns
 392 * the CRC of the reversed buffer.
 393 */
 394static u32 test_step(u32 init, unsigned char *buf, size_t len)
 395{
 396        u32 crc1, crc2;
 397        size_t i;
 398
 399        crc1 = crc32_be(init, buf, len);
 400        store_be(crc1, buf + len);
 401        crc2 = crc32_be(init, buf, len + 4);
 402        if (crc2)
 403                printf("\nCRC cancellation fail: 0x%08x should be 0\n",
 404                       crc2);
 405
 406        for (i = 0; i <= len + 4; i++) {
 407                crc2 = crc32_be(init, buf, i);
 408                crc2 = crc32_be(crc2, buf + i, len + 4 - i);
 409                if (crc2)
 410                        printf("\nCRC split fail: 0x%08x\n", crc2);
 411        }
 412
 413        /* Now swap it around for the other test */
 414
 415        bytereverse(buf, len + 4);
 416        init = bitrev32(init);
 417        crc2 = bitrev32(crc1);
 418        if (crc1 != bitrev32(crc2))
 419                printf("\nBit reversal fail: 0x%08x -> 0x%08x -> 0x%08x\n",
 420                       crc1, crc2, bitrev32(crc2));
 421        crc1 = crc32_le(init, buf, len);
 422        if (crc1 != crc2)
 423                printf("\nCRC endianness fail: 0x%08x != 0x%08x\n", crc1,
 424                       crc2);
 425        crc2 = crc32_le(init, buf, len + 4);
 426        if (crc2)
 427                printf("\nCRC cancellation fail: 0x%08x should be 0\n",
 428                       crc2);
 429
 430        for (i = 0; i <= len + 4; i++) {
 431                crc2 = crc32_le(init, buf, i);
 432                crc2 = crc32_le(crc2, buf + i, len + 4 - i);
 433                if (crc2)
 434                        printf("\nCRC split fail: 0x%08x\n", crc2);
 435        }
 436
 437        return crc1;
 438}
 439
 440#define SIZE 64
 441#define INIT1 0
 442#define INIT2 0
 443
 444int main(void)
 445{
 446        unsigned char buf1[SIZE + 4];
 447        unsigned char buf2[SIZE + 4];
 448        unsigned char buf3[SIZE + 4];
 449        int i, j;
 450        u32 crc1, crc2, crc3;
 451
 452        for (i = 0; i <= SIZE; i++) {
 453                printf("\rTesting length %d...", i);
 454                fflush(stdout);
 455                random_garbage(buf1, i);
 456                random_garbage(buf2, i);
 457                for (j = 0; j < i; j++)
 458                        buf3[j] = buf1[j] ^ buf2[j];
 459
 460                crc1 = test_step(INIT1, buf1, i);
 461                crc2 = test_step(INIT2, buf2, i);
 462                /* Now check that CRC(buf1 ^ buf2) = CRC(buf1) ^ CRC(buf2) */
 463                crc3 = test_step(INIT1 ^ INIT2, buf3, i);
 464                if (crc3 != (crc1 ^ crc2))
 465                        printf("CRC XOR fail: 0x%08x != 0x%08x ^ 0x%08x\n",
 466                               crc3, crc1, crc2);
 467        }
 468        printf("\nAll test complete.  No failures expected.\n");
 469        return 0;
 470}
 471
 472#endif                          /* UNITTEST */
 473
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