linux-bk/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 *
   5 * Oct 12, 2000 Matt Domsch <Matt_Domsch@dell.com>
   6 * Same crc32 function was used in 5 other places in the kernel.
   7 * I made one version, and deleted the others.
   8 * There are various incantations of crc32().  Some use a seed of 0 or ~0.
   9 * Some xor at the end with ~0.  The generic crc32() function takes
  10 * seed as an argument, and doesn't xor at the end.  Then individual
  11 * users can do whatever they need.
  12 *   drivers/net/smc9194.c uses seed ~0, doesn't xor with ~0.
  13 *   fs/jffs2 uses seed 0, doesn't xor with ~0.
  14 *   fs/partitions/efi.c uses seed ~0, xor's with ~0.
  15 * 
  16 */
  17
  18#include <linux/crc32.h>
  19#include <linux/kernel.h>
  20#include <linux/module.h>
  21#include <linux/types.h>
  22#include <linux/slab.h>
  23#include <linux/init.h>
  24#include <asm/atomic.h>
  25#include "crc32defs.h"
  26#if CRC_LE_BITS == 8
  27#define tole(x) __constant_cpu_to_le32(x)
  28#define tobe(x) __constant_cpu_to_be32(x)
  29#else
  30#define tole(x) (x)
  31#define tobe(x) (x)
  32#endif
  33#include "crc32table.h"
  34
  35#if __GNUC__ >= 3       /* 2.x has "attribute", but only 3.0 has "pure */
  36#define attribute(x) __attribute__(x)
  37#else
  38#define attribute(x)
  39#endif
  40
  41/*
  42 * This code is in the public domain; copyright abandoned.
  43 * Liability for non-performance of this code is limited to the amount
  44 * you paid for it.  Since it is distributed for free, your refund will
  45 * be very very small.  If it breaks, you get to keep both pieces.
  46 */
  47
  48MODULE_AUTHOR("Matt Domsch <Matt_Domsch@dell.com>");
  49MODULE_DESCRIPTION("Ethernet CRC32 calculations");
  50MODULE_LICENSE("GPL and additional rights");
  51
  52#if CRC_LE_BITS == 1
  53/*
  54 * In fact, the table-based code will work in this case, but it can be
  55 * simplified by inlining the table in ?: form.
  56 */
  57
  58/**
  59 * crc32_le() - Calculate bitwise little-endian Ethernet AUTODIN II CRC32
  60 * @crc - seed value for computation.  ~0 for Ethernet, sometimes 0 for
  61 *        other uses, or the previous crc32 value if computing incrementally.
  62 * @p   - pointer to buffer over which CRC is run
  63 * @len - length of buffer @p
  64 * 
  65 */
  66u32 attribute((pure)) crc32_le(u32 crc, unsigned char const *p, size_t len)
  67{
  68        int i;
  69        while (len--) {
  70                crc ^= *p++;
  71                for (i = 0; i < 8; i++)
  72                        crc = (crc >> 1) ^ ((crc & 1) ? CRCPOLY_LE : 0);
  73        }
  74        return crc;
  75}
  76#else                           /* Table-based approach */
  77
  78/**
  79 * crc32_le() - Calculate bitwise little-endian Ethernet AUTODIN II CRC32
  80 * @crc - seed value for computation.  ~0 for Ethernet, sometimes 0 for
  81 *        other uses, or the previous crc32 value if computing incrementally.
  82 * @p   - pointer to buffer over which CRC is run
  83 * @len - length of buffer @p
  84 * 
  85 */
  86u32 attribute((pure)) crc32_le(u32 crc, unsigned char const *p, size_t len)
  87{
  88# if CRC_LE_BITS == 8
  89        const u32      *b =(u32 *)p;
  90        const u32      *tab = crc32table_le;
  91
  92# ifdef __LITTLE_ENDIAN
  93#  define DO_CRC(x) crc = tab[ (crc ^ (x)) & 255 ] ^ (crc>>8)
  94# else
  95#  define DO_CRC(x) crc = tab[ ((crc >> 24) ^ (x)) & 255] ^ (crc<<8)
  96# endif
  97
  98        crc = __cpu_to_le32(crc);
  99        /* Align it */
 100        if(unlikely(((long)b)&3 && len)){
 101                do {
 102                        DO_CRC(*((u8 *)b)++);
 103                } while ((--len) && ((long)b)&3 );
 104        }
 105        if(likely(len >= 4)){
 106                /* load data 32 bits wide, xor data 32 bits wide. */
 107                size_t save_len = len & 3;
 108                len = len >> 2;
 109                --b; /* use pre increment below(*++b) for speed */
 110                do {
 111                        crc ^= *++b;
 112                        DO_CRC(0);
 113                        DO_CRC(0);
 114                        DO_CRC(0);
 115                        DO_CRC(0);
 116                } while (--len);
 117                b++; /* point to next byte(s) */
 118                len = save_len;
 119        }
 120        /* And the last few bytes */
 121        if(len){
 122                do {
 123                        DO_CRC(*((u8 *)b)++);
 124                } while (--len);
 125        }
 126
 127        return __le32_to_cpu(crc);
 128#undef ENDIAN_SHIFT
 129#undef DO_CRC
 130
 131# elif CRC_LE_BITS == 4
 132        while (len--) {
 133                crc ^= *p++;
 134                crc = (crc >> 4) ^ crc32table_le[crc & 15];
 135                crc = (crc >> 4) ^ crc32table_le[crc & 15];
 136        }
 137        return crc;
 138# elif CRC_LE_BITS == 2
 139        while (len--) {
 140                crc ^= *p++;
 141                crc = (crc >> 2) ^ crc32table_le[crc & 3];
 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        }
 146        return crc;
 147# endif
 148}
 149#endif
 150
 151#if CRC_BE_BITS == 1
 152/*
 153 * In fact, the table-based code will work in this case, but it can be
 154 * simplified by inlining the table in ?: form.
 155 */
 156
 157/**
 158 * crc32_be() - Calculate bitwise big-endian Ethernet AUTODIN II CRC32
 159 * @crc - seed value for computation.  ~0 for Ethernet, sometimes 0 for
 160 *        other uses, or the previous crc32 value if computing incrementally.
 161 * @p   - pointer to buffer over which CRC is run
 162 * @len - length of buffer @p
 163 * 
 164 */
 165u32 attribute((pure)) crc32_be(u32 crc, unsigned char const *p, size_t len)
 166{
 167        int i;
 168        while (len--) {
 169                crc ^= *p++ << 24;
 170                for (i = 0; i < 8; i++)
 171                        crc =
 172                            (crc << 1) ^ ((crc & 0x80000000) ? CRCPOLY_BE :
 173                                          0);
 174        }
 175        return crc;
 176}
 177
 178#else                           /* Table-based approach */
 179/**
 180 * crc32_be() - Calculate bitwise big-endian Ethernet AUTODIN II CRC32
 181 * @crc - seed value for computation.  ~0 for Ethernet, sometimes 0 for
 182 *        other uses, or the previous crc32 value if computing incrementally.
 183 * @p   - pointer to buffer over which CRC is run
 184 * @len - length of buffer @p
 185 * 
 186 */
 187u32 attribute((pure)) crc32_be(u32 crc, unsigned char const *p, size_t len)
 188{
 189# if CRC_BE_BITS == 8
 190        const u32      *b =(u32 *)p;
 191        const u32      *tab = crc32table_be;
 192
 193# ifdef __LITTLE_ENDIAN
 194#  define DO_CRC(x) crc = tab[ (crc ^ (x)) & 255 ] ^ (crc>>8)
 195# else
 196#  define DO_CRC(x) crc = tab[ ((crc >> 24) ^ (x)) & 255] ^ (crc<<8)
 197# endif
 198
 199        crc = __cpu_to_be32(crc);
 200        /* Align it */
 201        if(unlikely(((long)b)&3 && len)){
 202                do {
 203                        DO_CRC(*((u8 *)b)++);
 204                } while ((--len) && ((long)b)&3 );
 205        }
 206        if(likely(len >= 4)){
 207                /* load data 32 bits wide, xor data 32 bits wide. */
 208                size_t save_len = len & 3;
 209                len = len >> 2;
 210                --b; /* use pre increment below(*++b) for speed */
 211                do {
 212                        crc ^= *++b;
 213                        DO_CRC(0);
 214                        DO_CRC(0);
 215                        DO_CRC(0);
 216                        DO_CRC(0);
 217                } while (--len);
 218                b++; /* point to next byte(s) */
 219                len = save_len;
 220        }
 221        /* And the last few bytes */
 222        if(len){
 223                do {
 224                        DO_CRC(*((u8 *)b)++);
 225                } while (--len);
 226        }
 227        return __be32_to_cpu(crc);
 228#undef ENDIAN_SHIFT
 229#undef DO_CRC
 230
 231# elif CRC_BE_BITS == 4
 232        while (len--) {
 233                crc ^= *p++ << 24;
 234                crc = (crc << 4) ^ crc32table_be[crc >> 28];
 235                crc = (crc << 4) ^ crc32table_be[crc >> 28];
 236        }
 237        return crc;
 238# elif CRC_BE_BITS == 2
 239        while (len--) {
 240                crc ^= *p++ << 24;
 241                crc = (crc << 2) ^ crc32table_be[crc >> 30];
 242                crc = (crc << 2) ^ crc32table_be[crc >> 30];
 243                crc = (crc << 2) ^ crc32table_be[crc >> 30];
 244                crc = (crc << 2) ^ crc32table_be[crc >> 30];
 245        }
 246        return crc;
 247# endif
 248}
 249#endif
 250
 251u32 bitreverse(u32 x)
 252{
 253        x = (x >> 16) | (x << 16);
 254        x = (x >> 8 & 0x00ff00ff) | (x << 8 & 0xff00ff00);
 255        x = (x >> 4 & 0x0f0f0f0f) | (x << 4 & 0xf0f0f0f0);
 256        x = (x >> 2 & 0x33333333) | (x << 2 & 0xcccccccc);
 257        x = (x >> 1 & 0x55555555) | (x << 1 & 0xaaaaaaaa);
 258        return x;
 259}
 260
 261EXPORT_SYMBOL(crc32_le);
 262EXPORT_SYMBOL(crc32_be);
 263EXPORT_SYMBOL(bitreverse);
 264
 265/*
 266 * A brief CRC tutorial.
 267 *
 268 * A CRC is a long-division remainder.  You add the CRC to the message,
 269 * and the whole thing (message+CRC) is a multiple of the given
 270 * CRC polynomial.  To check the CRC, you can either check that the
 271 * CRC matches the recomputed value, *or* you can check that the
 272 * remainder computed on the message+CRC is 0.  This latter approach
 273 * is used by a lot of hardware implementations, and is why so many
 274 * protocols put the end-of-frame flag after the CRC.
 275 *
 276 * It's actually the same long division you learned in school, except that
 277 * - We're working in binary, so the digits are only 0 and 1, and
 278 * - When dividing polynomials, there are no carries.  Rather than add and
 279 *   subtract, we just xor.  Thus, we tend to get a bit sloppy about
 280 *   the difference between adding and subtracting.
 281 *
 282 * A 32-bit CRC polynomial is actually 33 bits long.  But since it's
 283 * 33 bits long, bit 32 is always going to be set, so usually the CRC
 284 * is written in hex with the most significant bit omitted.  (If you're
 285 * familiar with the IEEE 754 floating-point format, it's the same idea.)
 286 *
 287 * Note that a CRC is computed over a string of *bits*, so you have
 288 * to decide on the endianness of the bits within each byte.  To get
 289 * the best error-detecting properties, this should correspond to the
 290 * order they're actually sent.  For example, standard RS-232 serial is
 291 * little-endian; the most significant bit (sometimes used for parity)
 292 * is sent last.  And when appending a CRC word to a message, you should
 293 * do it in the right order, matching the endianness.
 294 *
 295 * Just like with ordinary division, the remainder is always smaller than
 296 * the divisor (the CRC polynomial) you're dividing by.  Each step of the
 297 * division, you take one more digit (bit) of the dividend and append it
 298 * to the current remainder.  Then you figure out the appropriate multiple
 299 * of the divisor to subtract to being the remainder back into range.
 300 * In binary, it's easy - it has to be either 0 or 1, and to make the
 301 * XOR cancel, it's just a copy of bit 32 of the remainder.
 302 *
 303 * When computing a CRC, we don't care about the quotient, so we can
 304 * throw the quotient bit away, but subtract the appropriate multiple of
 305 * the polynomial from the remainder and we're back to where we started,
 306 * ready to process the next bit.
 307 *
 308 * A big-endian CRC written this way would be coded like:
 309 * for (i = 0; i < input_bits; i++) {
 310 *      multiple = remainder & 0x80000000 ? CRCPOLY : 0;
 311 *      remainder = (remainder << 1 | next_input_bit()) ^ multiple;
 312 * }
 313 * Notice how, to get at bit 32 of the shifted remainder, we look
 314 * at bit 31 of the remainder *before* shifting it.
 315 *
 316 * But also notice how the next_input_bit() bits we're shifting into
 317 * the remainder don't actually affect any decision-making until
 318 * 32 bits later.  Thus, the first 32 cycles of this are pretty boring.
 319 * Also, to add the CRC to a message, we need a 32-bit-long hole for it at
 320 * the end, so we have to add 32 extra cycles shifting in zeros at the
 321 * end of every message,
 322 *
 323 * So the standard trick is to rearrage merging in the next_input_bit()
 324 * until the moment it's needed.  Then the first 32 cycles can be precomputed,
 325 * and merging in the final 32 zero bits to make room for the CRC can be
 326 * skipped entirely.
 327 * This changes the code to:
 328 * for (i = 0; i < input_bits; i++) {
 329 *      remainder ^= next_input_bit() << 31;
 330 *      multiple = (remainder & 0x80000000) ? CRCPOLY : 0;
 331 *      remainder = (remainder << 1) ^ multiple;
 332 * }
 333 * With this optimization, the little-endian code is simpler:
 334 * for (i = 0; i < input_bits; i++) {
 335 *      remainder ^= next_input_bit();
 336 *      multiple = (remainder & 1) ? CRCPOLY : 0;
 337 *      remainder = (remainder >> 1) ^ multiple;
 338 * }
 339 *
 340 * Note that the other details of endianness have been hidden in CRCPOLY
 341 * (which must be bit-reversed) and next_input_bit().
 342 *
 343 * However, as long as next_input_bit is returning the bits in a sensible
 344 * order, we can actually do the merging 8 or more bits at a time rather
 345 * than one bit at a time:
 346 * for (i = 0; i < input_bytes; i++) {
 347 *      remainder ^= next_input_byte() << 24;
 348 *      for (j = 0; j < 8; j++) {
 349 *              multiple = (remainder & 0x80000000) ? CRCPOLY : 0;
 350 *              remainder = (remainder << 1) ^ multiple;
 351 *      }
 352 * }
 353 * Or in little-endian:
 354 * for (i = 0; i < input_bytes; i++) {
 355 *      remainder ^= next_input_byte();
 356 *      for (j = 0; j < 8; j++) {
 357 *              multiple = (remainder & 1) ? CRCPOLY : 0;
 358 *              remainder = (remainder << 1) ^ multiple;
 359 *      }
 360 * }
 361 * If the input is a multiple of 32 bits, you can even XOR in a 32-bit
 362 * word at a time and increase the inner loop count to 32.
 363 *
 364 * You can also mix and match the two loop styles, for example doing the
 365 * bulk of a message byte-at-a-time and adding bit-at-a-time processing
 366 * for any fractional bytes at the end.
 367 *
 368 * The only remaining optimization is to the byte-at-a-time table method.
 369 * Here, rather than just shifting one bit of the remainder to decide
 370 * in the correct multiple to subtract, we can shift a byte at a time.
 371 * This produces a 40-bit (rather than a 33-bit) intermediate remainder,
 372 * but again the multiple of the polynomial to subtract depends only on
 373 * the high bits, the high 8 bits in this case.  
 374 *
 375 * The multile we need in that case is the low 32 bits of a 40-bit
 376 * value whose high 8 bits are given, and which is a multiple of the
 377 * generator polynomial.  This is simply the CRC-32 of the given
 378 * one-byte message.
 379 *
 380 * Two more details: normally, appending zero bits to a message which
 381 * is already a multiple of a polynomial produces a larger multiple of that
 382 * polynomial.  To enable a CRC to detect this condition, it's common to
 383 * invert the CRC before appending it.  This makes the remainder of the
 384 * message+crc come out not as zero, but some fixed non-zero value.
 385 *
 386 * The same problem applies to zero bits prepended to the message, and
 387 * a similar solution is used.  Instead of starting with a remainder of
 388 * 0, an initial remainder of all ones is used.  As long as you start
 389 * the same way on decoding, it doesn't make a difference.
 390 */
 391
 392#if UNITTEST
 393
 394#include <stdlib.h>
 395#include <stdio.h>
 396
 397#if 0                           /*Not used at present */
 398static void
 399buf_dump(char const *prefix, unsigned char const *buf, size_t len)
 400{
 401        fputs(prefix, stdout);
 402        while (len--)
 403                printf(" %02x", *buf++);
 404        putchar('\n');
 405
 406}
 407#endif
 408
 409static void bytereverse(unsigned char *buf, size_t len)
 410{
 411        while (len--) {
 412                unsigned char x = *buf;
 413                x = (x >> 4) | (x << 4);
 414                x = (x >> 2 & 0x33) | (x << 2 & 0xcc);
 415                x = (x >> 1 & 0x55) | (x << 1 & 0xaa);
 416                *buf++ = x;
 417        }
 418}
 419
 420static void random_garbage(unsigned char *buf, size_t len)
 421{
 422        while (len--)
 423                *buf++ = (unsigned char) random();
 424}
 425
 426#if 0                           /* Not used at present */
 427static void store_le(u32 x, unsigned char *buf)
 428{
 429        buf[0] = (unsigned char) x;
 430        buf[1] = (unsigned char) (x >> 8);
 431        buf[2] = (unsigned char) (x >> 16);
 432        buf[3] = (unsigned char) (x >> 24);
 433}
 434#endif
 435
 436static void store_be(u32 x, unsigned char *buf)
 437{
 438        buf[0] = (unsigned char) (x >> 24);
 439        buf[1] = (unsigned char) (x >> 16);
 440        buf[2] = (unsigned char) (x >> 8);
 441        buf[3] = (unsigned char) x;
 442}
 443
 444/*
 445 * This checks that CRC(buf + CRC(buf)) = 0, and that
 446 * CRC commutes with bit-reversal.  This has the side effect
 447 * of bytewise bit-reversing the input buffer, and returns
 448 * the CRC of the reversed buffer.
 449 */
 450static u32 test_step(u32 init, unsigned char *buf, size_t len)
 451{
 452        u32 crc1, crc2;
 453        size_t i;
 454
 455        crc1 = crc32_be(init, buf, len);
 456        store_be(crc1, buf + len);
 457        crc2 = crc32_be(init, buf, len + 4);
 458        if (crc2)
 459                printf("\nCRC cancellation fail: 0x%08x should be 0\n",
 460                       crc2);
 461
 462        for (i = 0; i <= len + 4; i++) {
 463                crc2 = crc32_be(init, buf, i);
 464                crc2 = crc32_be(crc2, buf + i, len + 4 - i);
 465                if (crc2)
 466                        printf("\nCRC split fail: 0x%08x\n", crc2);
 467        }
 468
 469        /* Now swap it around for the other test */
 470
 471        bytereverse(buf, len + 4);
 472        init = bitreverse(init);
 473        crc2 = bitreverse(crc1);
 474        if (crc1 != bitreverse(crc2))
 475                printf("\nBit reversal fail: 0x%08x -> %0x08x -> 0x%08x\n",
 476                       crc1, crc2, bitreverse(crc2));
 477        crc1 = crc32_le(init, buf, len);
 478        if (crc1 != crc2)
 479                printf("\nCRC endianness fail: 0x%08x != 0x%08x\n", crc1,
 480                       crc2);
 481        crc2 = crc32_le(init, buf, len + 4);
 482        if (crc2)
 483                printf("\nCRC cancellation fail: 0x%08x should be 0\n",
 484                       crc2);
 485
 486        for (i = 0; i <= len + 4; i++) {
 487                crc2 = crc32_le(init, buf, i);
 488                crc2 = crc32_le(crc2, buf + i, len + 4 - i);
 489                if (crc2)
 490                        printf("\nCRC split fail: 0x%08x\n", crc2);
 491        }
 492
 493        return crc1;
 494}
 495
 496#define SIZE 64
 497#define INIT1 0
 498#define INIT2 0
 499
 500int main(void)
 501{
 502        unsigned char buf1[SIZE + 4];
 503        unsigned char buf2[SIZE + 4];
 504        unsigned char buf3[SIZE + 4];
 505        int i, j;
 506        u32 crc1, crc2, crc3;
 507
 508        for (i = 0; i <= SIZE; i++) {
 509                printf("\rTesting length %d...", i);
 510                fflush(stdout);
 511                random_garbage(buf1, i);
 512                random_garbage(buf2, i);
 513                for (j = 0; j < i; j++)
 514                        buf3[j] = buf1[j] ^ buf2[j];
 515
 516                crc1 = test_step(INIT1, buf1, i);
 517                crc2 = test_step(INIT2, buf2, i);
 518                /* Now check that CRC(buf1 ^ buf2) = CRC(buf1) ^ CRC(buf2) */
 519                crc3 = test_step(INIT1 ^ INIT2, buf3, i);
 520                if (crc3 != (crc1 ^ crc2))
 521                        printf("CRC XOR fail: 0x%08x != 0x%08x ^ 0x%08x\n",
 522                               crc3, crc1, crc2);
 523        }
 524        printf("\nAll test complete.  No failures expected.\n");
 525        return 0;
 526}
 527
 528#endif                          /* UNITTEST */
 529
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