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