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
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.
19 * This source code is licensed under the GNU General Public License,
20 * Version 2. See the file COPYING for more details.
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"
33 #define tole(x) __constant_cpu_to_le32(x)
34 #define tobe(x) __constant_cpu_to_be32(x)
39 #include "crc32table.h"
41 MODULE_AUTHOR("Matt Domsch <Matt_Domsch@dell.com>");
42 MODULE_DESCRIPTION("Ethernet CRC32 calculations");
43 MODULE_LICENSE("GPL");
47 * In fact, the table-based code will work in this case, but it can be
48 * simplified by inlining the table in ?: form.
52 * crc32_le() - Calculate bitwise little-endian Ethernet AUTODIN II CRC32
53 * @crc - seed value for computation. ~0 for Ethernet, sometimes 0 for
54 * other uses, or the previous crc32 value if computing incrementally.
55 * @p - pointer to buffer over which CRC is run
56 * @len - length of buffer @p
59 u32 __attribute_pure__ crc32_le(u32 crc, unsigned char const *p, size_t len)
64 for (i = 0; i < 8; i++)
65 crc = (crc >> 1) ^ ((crc & 1) ? CRCPOLY_LE : 0);
69 #else /* Table-based approach */
72 * crc32_le() - Calculate bitwise little-endian Ethernet AUTODIN II CRC32
73 * @crc - seed value for computation. ~0 for Ethernet, sometimes 0 for
74 * other uses, or the previous crc32 value if computing incrementally.
75 * @p - pointer to buffer over which CRC is run
76 * @len - length of buffer @p
79 u32 __attribute_pure__ crc32_le(u32 crc, unsigned char const *p, size_t len)
82 const u32 *b =(u32 *)p;
83 const u32 *tab = crc32table_le;
85 # ifdef __LITTLE_ENDIAN
86 # define DO_CRC(x) crc = tab[ (crc ^ (x)) & 255 ] ^ (crc>>8)
88 # define DO_CRC(x) crc = tab[ ((crc >> 24) ^ (x)) & 255] ^ (crc<<8)
91 crc = __cpu_to_le32(crc);
93 if(unlikely(((long)b)&3 && len)){
98 } while ((--len) && ((long)b)&3 );
100 if(likely(len >= 4)){
101 /* load data 32 bits wide, xor data 32 bits wide. */
102 size_t save_len = len & 3;
104 --b; /* use pre increment below(*++b) for speed */
112 b++; /* point to next byte(s) */
115 /* And the last few bytes */
124 return __le32_to_cpu(crc);
128 # elif CRC_LE_BITS == 4
131 crc = (crc >> 4) ^ crc32table_le[crc & 15];
132 crc = (crc >> 4) ^ crc32table_le[crc & 15];
135 # elif CRC_LE_BITS == 2
138 crc = (crc >> 2) ^ crc32table_le[crc & 3];
139 crc = (crc >> 2) ^ crc32table_le[crc & 3];
140 crc = (crc >> 2) ^ crc32table_le[crc & 3];
141 crc = (crc >> 2) ^ crc32table_le[crc & 3];
150 * In fact, the table-based code will work in this case, but it can be
151 * simplified by inlining the table in ?: form.
155 * crc32_be() - Calculate bitwise big-endian Ethernet AUTODIN II CRC32
156 * @crc - seed value for computation. ~0 for Ethernet, sometimes 0 for
157 * other uses, or the previous crc32 value if computing incrementally.
158 * @p - pointer to buffer over which CRC is run
159 * @len - length of buffer @p
162 u32 __attribute_pure__ crc32_be(u32 crc, unsigned char const *p, size_t len)
167 for (i = 0; i < 8; i++)
169 (crc << 1) ^ ((crc & 0x80000000) ? CRCPOLY_BE :
175 #else /* Table-based approach */
177 * crc32_be() - Calculate bitwise big-endian Ethernet AUTODIN II CRC32
178 * @crc - seed value for computation. ~0 for Ethernet, sometimes 0 for
179 * other uses, or the previous crc32 value if computing incrementally.
180 * @p - pointer to buffer over which CRC is run
181 * @len - length of buffer @p
184 u32 __attribute_pure__ crc32_be(u32 crc, unsigned char const *p, size_t len)
186 # if CRC_BE_BITS == 8
187 const u32 *b =(u32 *)p;
188 const u32 *tab = crc32table_be;
190 # ifdef __LITTLE_ENDIAN
191 # define DO_CRC(x) crc = tab[ (crc ^ (x)) & 255 ] ^ (crc>>8)
193 # define DO_CRC(x) crc = tab[ ((crc >> 24) ^ (x)) & 255] ^ (crc<<8)
196 crc = __cpu_to_be32(crc);
198 if(unlikely(((long)b)&3 && len)){
203 } while ((--len) && ((long)b)&3 );
205 if(likely(len >= 4)){
206 /* load data 32 bits wide, xor data 32 bits wide. */
207 size_t save_len = len & 3;
209 --b; /* use pre increment below(*++b) for speed */
217 b++; /* point to next byte(s) */
220 /* And the last few bytes */
228 return __be32_to_cpu(crc);
232 # elif CRC_BE_BITS == 4
235 crc = (crc << 4) ^ crc32table_be[crc >> 28];
236 crc = (crc << 4) ^ crc32table_be[crc >> 28];
239 # elif CRC_BE_BITS == 2
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 crc = (crc << 2) ^ crc32table_be[crc >> 30];
252 u32 bitreverse(u32 x)
254 x = (x >> 16) | (x << 16);
255 x = (x >> 8 & 0x00ff00ff) | (x << 8 & 0xff00ff00);
256 x = (x >> 4 & 0x0f0f0f0f) | (x << 4 & 0xf0f0f0f0);
257 x = (x >> 2 & 0x33333333) | (x << 2 & 0xcccccccc);
258 x = (x >> 1 & 0x55555555) | (x << 1 & 0xaaaaaaaa);
262 EXPORT_SYMBOL(crc32_le);
263 EXPORT_SYMBOL(crc32_be);
264 EXPORT_SYMBOL(bitreverse);
267 * A brief CRC tutorial.
269 * A CRC is a long-division remainder. You add the CRC to the message,
270 * and the whole thing (message+CRC) is a multiple of the given
271 * CRC polynomial. To check the CRC, you can either check that the
272 * CRC matches the recomputed value, *or* you can check that the
273 * remainder computed on the message+CRC is 0. This latter approach
274 * is used by a lot of hardware implementations, and is why so many
275 * protocols put the end-of-frame flag after the CRC.
277 * It's actually the same long division you learned in school, except that
278 * - We're working in binary, so the digits are only 0 and 1, and
279 * - When dividing polynomials, there are no carries. Rather than add and
280 * subtract, we just xor. Thus, we tend to get a bit sloppy about
281 * the difference between adding and subtracting.
283 * A 32-bit CRC polynomial is actually 33 bits long. But since it's
284 * 33 bits long, bit 32 is always going to be set, so usually the CRC
285 * is written in hex with the most significant bit omitted. (If you're
286 * familiar with the IEEE 754 floating-point format, it's the same idea.)
288 * Note that a CRC is computed over a string of *bits*, so you have
289 * to decide on the endianness of the bits within each byte. To get
290 * the best error-detecting properties, this should correspond to the
291 * order they're actually sent. For example, standard RS-232 serial is
292 * little-endian; the most significant bit (sometimes used for parity)
293 * is sent last. And when appending a CRC word to a message, you should
294 * do it in the right order, matching the endianness.
296 * Just like with ordinary division, the remainder is always smaller than
297 * the divisor (the CRC polynomial) you're dividing by. Each step of the
298 * division, you take one more digit (bit) of the dividend and append it
299 * to the current remainder. Then you figure out the appropriate multiple
300 * of the divisor to subtract to being the remainder back into range.
301 * In binary, it's easy - it has to be either 0 or 1, and to make the
302 * XOR cancel, it's just a copy of bit 32 of the remainder.
304 * When computing a CRC, we don't care about the quotient, so we can
305 * throw the quotient bit away, but subtract the appropriate multiple of
306 * the polynomial from the remainder and we're back to where we started,
307 * ready to process the next bit.
309 * A big-endian CRC written this way would be coded like:
310 * for (i = 0; i < input_bits; i++) {
311 * multiple = remainder & 0x80000000 ? CRCPOLY : 0;
312 * remainder = (remainder << 1 | next_input_bit()) ^ multiple;
314 * Notice how, to get at bit 32 of the shifted remainder, we look
315 * at bit 31 of the remainder *before* shifting it.
317 * But also notice how the next_input_bit() bits we're shifting into
318 * the remainder don't actually affect any decision-making until
319 * 32 bits later. Thus, the first 32 cycles of this are pretty boring.
320 * Also, to add the CRC to a message, we need a 32-bit-long hole for it at
321 * the end, so we have to add 32 extra cycles shifting in zeros at the
322 * end of every message,
324 * So the standard trick is to rearrage merging in the next_input_bit()
325 * until the moment it's needed. Then the first 32 cycles can be precomputed,
326 * and merging in the final 32 zero bits to make room for the CRC can be
328 * This changes the code to:
329 * for (i = 0; i < input_bits; i++) {
330 * remainder ^= next_input_bit() << 31;
331 * multiple = (remainder & 0x80000000) ? CRCPOLY : 0;
332 * remainder = (remainder << 1) ^ multiple;
334 * With this optimization, the little-endian code is simpler:
335 * for (i = 0; i < input_bits; i++) {
336 * remainder ^= next_input_bit();
337 * multiple = (remainder & 1) ? CRCPOLY : 0;
338 * remainder = (remainder >> 1) ^ multiple;
341 * Note that the other details of endianness have been hidden in CRCPOLY
342 * (which must be bit-reversed) and next_input_bit().
344 * However, as long as next_input_bit is returning the bits in a sensible
345 * order, we can actually do the merging 8 or more bits at a time rather
346 * than one bit at a time:
347 * for (i = 0; i < input_bytes; i++) {
348 * remainder ^= next_input_byte() << 24;
349 * for (j = 0; j < 8; j++) {
350 * multiple = (remainder & 0x80000000) ? CRCPOLY : 0;
351 * remainder = (remainder << 1) ^ multiple;
354 * Or in little-endian:
355 * for (i = 0; i < input_bytes; i++) {
356 * remainder ^= next_input_byte();
357 * for (j = 0; j < 8; j++) {
358 * multiple = (remainder & 1) ? CRCPOLY : 0;
359 * remainder = (remainder << 1) ^ multiple;
362 * If the input is a multiple of 32 bits, you can even XOR in a 32-bit
363 * word at a time and increase the inner loop count to 32.
365 * You can also mix and match the two loop styles, for example doing the
366 * bulk of a message byte-at-a-time and adding bit-at-a-time processing
367 * for any fractional bytes at the end.
369 * The only remaining optimization is to the byte-at-a-time table method.
370 * Here, rather than just shifting one bit of the remainder to decide
371 * in the correct multiple to subtract, we can shift a byte at a time.
372 * This produces a 40-bit (rather than a 33-bit) intermediate remainder,
373 * but again the multiple of the polynomial to subtract depends only on
374 * the high bits, the high 8 bits in this case.
376 * The multile we need in that case is the low 32 bits of a 40-bit
377 * value whose high 8 bits are given, and which is a multiple of the
378 * generator polynomial. This is simply the CRC-32 of the given
381 * Two more details: normally, appending zero bits to a message which
382 * is already a multiple of a polynomial produces a larger multiple of that
383 * polynomial. To enable a CRC to detect this condition, it's common to
384 * invert the CRC before appending it. This makes the remainder of the
385 * message+crc come out not as zero, but some fixed non-zero value.
387 * The same problem applies to zero bits prepended to the message, and
388 * a similar solution is used. Instead of starting with a remainder of
389 * 0, an initial remainder of all ones is used. As long as you start
390 * the same way on decoding, it doesn't make a difference.
398 #if 0 /*Not used at present */
400 buf_dump(char const *prefix, unsigned char const *buf, size_t len)
402 fputs(prefix, stdout);
404 printf(" %02x", *buf++);
410 static void bytereverse(unsigned char *buf, size_t len)
413 unsigned char x = *buf;
414 x = (x >> 4) | (x << 4);
415 x = (x >> 2 & 0x33) | (x << 2 & 0xcc);
416 x = (x >> 1 & 0x55) | (x << 1 & 0xaa);
421 static void random_garbage(unsigned char *buf, size_t len)
424 *buf++ = (unsigned char) random();
427 #if 0 /* Not used at present */
428 static void store_le(u32 x, unsigned char *buf)
430 buf[0] = (unsigned char) x;
431 buf[1] = (unsigned char) (x >> 8);
432 buf[2] = (unsigned char) (x >> 16);
433 buf[3] = (unsigned char) (x >> 24);
437 static void store_be(u32 x, unsigned char *buf)
439 buf[0] = (unsigned char) (x >> 24);
440 buf[1] = (unsigned char) (x >> 16);
441 buf[2] = (unsigned char) (x >> 8);
442 buf[3] = (unsigned char) x;
446 * This checks that CRC(buf + CRC(buf)) = 0, and that
447 * CRC commutes with bit-reversal. This has the side effect
448 * of bytewise bit-reversing the input buffer, and returns
449 * the CRC of the reversed buffer.
451 static u32 test_step(u32 init, unsigned char *buf, size_t len)
456 crc1 = crc32_be(init, buf, len);
457 store_be(crc1, buf + len);
458 crc2 = crc32_be(init, buf, len + 4);
460 printf("\nCRC cancellation fail: 0x%08x should be 0\n",
463 for (i = 0; i <= len + 4; i++) {
464 crc2 = crc32_be(init, buf, i);
465 crc2 = crc32_be(crc2, buf + i, len + 4 - i);
467 printf("\nCRC split fail: 0x%08x\n", crc2);
470 /* Now swap it around for the other test */
472 bytereverse(buf, len + 4);
473 init = bitreverse(init);
474 crc2 = bitreverse(crc1);
475 if (crc1 != bitreverse(crc2))
476 printf("\nBit reversal fail: 0x%08x -> %0x08x -> 0x%08x\n",
477 crc1, crc2, bitreverse(crc2));
478 crc1 = crc32_le(init, buf, len);
480 printf("\nCRC endianness fail: 0x%08x != 0x%08x\n", crc1,
482 crc2 = crc32_le(init, buf, len + 4);
484 printf("\nCRC cancellation fail: 0x%08x should be 0\n",
487 for (i = 0; i <= len + 4; i++) {
488 crc2 = crc32_le(init, buf, i);
489 crc2 = crc32_le(crc2, buf + i, len + 4 - i);
491 printf("\nCRC split fail: 0x%08x\n", crc2);
503 unsigned char buf1[SIZE + 4];
504 unsigned char buf2[SIZE + 4];
505 unsigned char buf3[SIZE + 4];
507 u32 crc1, crc2, crc3;
509 for (i = 0; i <= SIZE; i++) {
510 printf("\rTesting length %d...", i);
512 random_garbage(buf1, i);
513 random_garbage(buf2, i);
514 for (j = 0; j < i; j++)
515 buf3[j] = buf1[j] ^ buf2[j];
517 crc1 = test_step(INIT1, buf1, i);
518 crc2 = test_step(INIT2, buf2, i);
519 /* Now check that CRC(buf1 ^ buf2) = CRC(buf1) ^ CRC(buf2) */
520 crc3 = test_step(INIT1 ^ INIT2, buf3, i);
521 if (crc3 != (crc1 ^ crc2))
522 printf("CRC XOR fail: 0x%08x != 0x%08x ^ 0x%08x\n",
525 printf("\nAll test complete. No failures expected.\n");
529 #endif /* UNITTEST */