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| 1 /* crc32.c -- compute the CRC-32 of a data stream |
| 2 * Copyright (C) 1995-2006, 2010, 2011, 2012 Mark Adler |
| 3 * For conditions of distribution and use, see copyright notice in zlib.h |
| 4 * |
| 5 * Thanks to Rodney Brown <rbrown64@csc.com.au> for his contribution of faster |
| 6 * CRC methods: exclusive-oring 32 bits of data at a time, and pre-computing |
| 7 * tables for updating the shift register in one step with three exclusive-ors |
| 8 * instead of four steps with four exclusive-ors. This results in about a |
| 9 * factor of two increase in speed on a Power PC G4 (PPC7455) using gcc -O3. |
| 10 */ |
| 11 |
| 12 /* @(#) $Id$ */ |
| 13 |
| 14 /* |
| 15 Note on the use of DYNAMIC_CRC_TABLE: there is no mutex or semaphore |
| 16 protection on the static variables used to control the first-use generation |
| 17 of the crc tables. Therefore, if you #define DYNAMIC_CRC_TABLE, you should |
| 18 first call get_crc_table() to initialize the tables before allowing more than |
| 19 one thread to use crc32(). |
| 20 |
| 21 DYNAMIC_CRC_TABLE and MAKECRCH can be #defined to write out crc32.h. |
| 22 */ |
| 23 |
| 24 #ifdef MAKECRCH |
| 25 # include <stdio.h> |
| 26 # ifndef DYNAMIC_CRC_TABLE |
| 27 # define DYNAMIC_CRC_TABLE |
| 28 # endif /* !DYNAMIC_CRC_TABLE */ |
| 29 #endif /* MAKECRCH */ |
| 30 |
| 31 #include "zutil.h" /* for STDC and FAR definitions */ |
| 32 |
| 33 #define local static |
| 34 |
| 35 /* Definitions for doing the crc four data bytes at a time. */ |
| 36 #if !defined(NOBYFOUR) && defined(Z_U4) |
| 37 # define BYFOUR |
| 38 #endif |
| 39 #ifdef BYFOUR |
| 40 local unsigned long crc32_little OF((unsigned long, |
| 41 const unsigned char FAR *, unsigned)); |
| 42 local unsigned long crc32_big OF((unsigned long, |
| 43 const unsigned char FAR *, unsigned)); |
| 44 # define TBLS 8 |
| 45 #else |
| 46 # define TBLS 1 |
| 47 #endif /* BYFOUR */ |
| 48 |
| 49 /* Local functions for crc concatenation */ |
| 50 local unsigned long gf2_matrix_times OF((unsigned long *mat, |
| 51 unsigned long vec)); |
| 52 local void gf2_matrix_square OF((unsigned long *square, unsigned long *mat)); |
| 53 local uLong crc32_combine_ OF((uLong crc1, uLong crc2, z_off64_t len2)); |
| 54 |
| 55 |
| 56 #ifdef DYNAMIC_CRC_TABLE |
| 57 |
| 58 local volatile int crc_table_empty = 1; |
| 59 local z_crc_t FAR crc_table[TBLS][256]; |
| 60 local void make_crc_table OF((void)); |
| 61 #ifdef MAKECRCH |
| 62 local void write_table OF((FILE *, const z_crc_t FAR *)); |
| 63 #endif /* MAKECRCH */ |
| 64 /* |
| 65 Generate tables for a byte-wise 32-bit CRC calculation on the polynomial: |
| 66 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. |
| 67 |
| 68 Polynomials over GF(2) are represented in binary, one bit per coefficient, |
| 69 with the lowest powers in the most significant bit. Then adding polynomials |
| 70 is just exclusive-or, and multiplying a polynomial by x is a right shift by |
| 71 one. If we call the above polynomial p, and represent a byte as the |
| 72 polynomial q, also with the lowest power in the most significant bit (so the |
| 73 byte 0xb1 is the polynomial x^7+x^3+x+1), then the CRC is (q*x^32) mod p, |
| 74 where a mod b means the remainder after dividing a by b. |
| 75 |
| 76 This calculation is done using the shift-register method of multiplying and |
| 77 taking the remainder. The register is initialized to zero, and for each |
| 78 incoming bit, x^32 is added mod p to the register if the bit is a one (where |
| 79 x^32 mod p is p+x^32 = x^26+...+1), and the register is multiplied mod p by |
| 80 x (which is shifting right by one and adding x^32 mod p if the bit shifted |
| 81 out is a one). We start with the highest power (least significant bit) of |
| 82 q and repeat for all eight bits of q. |
| 83 |
| 84 The first table is simply the CRC of all possible eight bit values. This is |
| 85 all the information needed to generate CRCs on data a byte at a time for all |
| 86 combinations of CRC register values and incoming bytes. The remaining tables |
| 87 allow for word-at-a-time CRC calculation for both big-endian and little- |
| 88 endian machines, where a word is four bytes. |
| 89 */ |
| 90 local void make_crc_table() |
| 91 { |
| 92 z_crc_t c; |
| 93 int n, k; |
| 94 z_crc_t poly; /* polynomial exclusive-or pattern */ |
| 95 /* terms of polynomial defining this crc (except x^32): */ |
| 96 static volatile int first = 1; /* flag to limit concurrent making */ |
| 97 static const unsigned char p[] = {0,1,2,4,5,7,8,10,11,12,16,22,23,26}; |
| 98 |
| 99 /* See if another task is already doing this (not thread-safe, but better |
| 100 than nothing -- significantly reduces duration of vulnerability in |
| 101 case the advice about DYNAMIC_CRC_TABLE is ignored) */ |
| 102 if (first) { |
| 103 first = 0; |
| 104 |
| 105 /* make exclusive-or pattern from polynomial (0xedb88320UL) */ |
| 106 poly = 0; |
| 107 for (n = 0; n < (int)(sizeof(p)/sizeof(unsigned char)); n++) |
| 108 poly |= (z_crc_t)1 << (31 - p[n]); |
| 109 |
| 110 /* generate a crc for every 8-bit value */ |
| 111 for (n = 0; n < 256; n++) { |
| 112 c = (z_crc_t)n; |
| 113 for (k = 0; k < 8; k++) |
| 114 c = c & 1 ? poly ^ (c >> 1) : c >> 1; |
| 115 crc_table[0][n] = c; |
| 116 } |
| 117 |
| 118 #ifdef BYFOUR |
| 119 /* generate crc for each value followed by one, two, and three zeros, |
| 120 and then the byte reversal of those as well as the first table */ |
| 121 for (n = 0; n < 256; n++) { |
| 122 c = crc_table[0][n]; |
| 123 crc_table[4][n] = ZSWAP32(c); |
| 124 for (k = 1; k < 4; k++) { |
| 125 c = crc_table[0][c & 0xff] ^ (c >> 8); |
| 126 crc_table[k][n] = c; |
| 127 crc_table[k + 4][n] = ZSWAP32(c); |
| 128 } |
| 129 } |
| 130 #endif /* BYFOUR */ |
| 131 |
| 132 crc_table_empty = 0; |
| 133 } |
| 134 else { /* not first */ |
| 135 /* wait for the other guy to finish (not efficient, but rare) */ |
| 136 while (crc_table_empty) |
| 137 ; |
| 138 } |
| 139 |
| 140 #ifdef MAKECRCH |
| 141 /* write out CRC tables to crc32.h */ |
| 142 { |
| 143 FILE *out; |
| 144 |
| 145 out = fopen("crc32.h", "w"); |
| 146 if (out == NULL) return; |
| 147 fprintf(out, "/* crc32.h -- tables for rapid CRC calculation\n"); |
| 148 fprintf(out, " * Generated automatically by crc32.c\n */\n\n"); |
| 149 fprintf(out, "local const z_crc_t FAR "); |
| 150 fprintf(out, "crc_table[TBLS][256] =\n{\n {\n"); |
| 151 write_table(out, crc_table[0]); |
| 152 # ifdef BYFOUR |
| 153 fprintf(out, "#ifdef BYFOUR\n"); |
| 154 for (k = 1; k < 8; k++) { |
| 155 fprintf(out, " },\n {\n"); |
| 156 write_table(out, crc_table[k]); |
| 157 } |
| 158 fprintf(out, "#endif\n"); |
| 159 # endif /* BYFOUR */ |
| 160 fprintf(out, " }\n};\n"); |
| 161 fclose(out); |
| 162 } |
| 163 #endif /* MAKECRCH */ |
| 164 } |
| 165 |
| 166 #ifdef MAKECRCH |
| 167 local void write_table(out, table) |
| 168 FILE *out; |
| 169 const z_crc_t FAR *table; |
| 170 { |
| 171 int n; |
| 172 |
| 173 for (n = 0; n < 256; n++) |
| 174 fprintf(out, "%s0x%08lxUL%s", n % 5 ? "" : " ", |
| 175 (unsigned long)(table[n]), |
| 176 n == 255 ? "\n" : (n % 5 == 4 ? ",\n" : ", ")); |
| 177 } |
| 178 #endif /* MAKECRCH */ |
| 179 |
| 180 #else /* !DYNAMIC_CRC_TABLE */ |
| 181 /* ======================================================================== |
| 182 * Tables of CRC-32s of all single-byte values, made by make_crc_table(). |
| 183 */ |
| 184 #include "crc32.h" |
| 185 #endif /* DYNAMIC_CRC_TABLE */ |
| 186 |
| 187 /* ========================================================================= |
| 188 * This function can be used by asm versions of crc32() |
| 189 */ |
| 190 const z_crc_t FAR * ZEXPORT get_crc_table() |
| 191 { |
| 192 #ifdef DYNAMIC_CRC_TABLE |
| 193 if (crc_table_empty) |
| 194 make_crc_table(); |
| 195 #endif /* DYNAMIC_CRC_TABLE */ |
| 196 return (const z_crc_t FAR *)crc_table; |
| 197 } |
| 198 |
| 199 /* ========================================================================= */ |
| 200 #define DO1 crc = crc_table[0][((int)crc ^ (*buf++)) & 0xff] ^ (crc >> 8) |
| 201 #define DO8 DO1; DO1; DO1; DO1; DO1; DO1; DO1; DO1 |
| 202 |
| 203 /* ========================================================================= */ |
| 204 unsigned long ZEXPORT crc32(crc, buf, len) |
| 205 unsigned long crc; |
| 206 const unsigned char FAR *buf; |
| 207 uInt len; |
| 208 { |
| 209 if (buf == Z_NULL) return 0UL; |
| 210 |
| 211 #ifdef DYNAMIC_CRC_TABLE |
| 212 if (crc_table_empty) |
| 213 make_crc_table(); |
| 214 #endif /* DYNAMIC_CRC_TABLE */ |
| 215 |
| 216 #ifdef BYFOUR |
| 217 if (sizeof(void *) == sizeof(ptrdiff_t)) { |
| 218 z_crc_t endian; |
| 219 |
| 220 endian = 1; |
| 221 if (*((unsigned char *)(&endian))) |
| 222 return crc32_little(crc, buf, len); |
| 223 else |
| 224 return crc32_big(crc, buf, len); |
| 225 } |
| 226 #endif /* BYFOUR */ |
| 227 crc = crc ^ 0xffffffffUL; |
| 228 while (len >= 8) { |
| 229 DO8; |
| 230 len -= 8; |
| 231 } |
| 232 if (len) do { |
| 233 DO1; |
| 234 } while (--len); |
| 235 return crc ^ 0xffffffffUL; |
| 236 } |
| 237 |
| 238 #ifdef BYFOUR |
| 239 |
| 240 /* ========================================================================= */ |
| 241 #define DOLIT4 c ^= *buf4++; \ |
| 242 c = crc_table[3][c & 0xff] ^ crc_table[2][(c >> 8) & 0xff] ^ \ |
| 243 crc_table[1][(c >> 16) & 0xff] ^ crc_table[0][c >> 24] |
| 244 #define DOLIT32 DOLIT4; DOLIT4; DOLIT4; DOLIT4; DOLIT4; DOLIT4; DOLIT4; DOLIT4 |
| 245 |
| 246 /* ========================================================================= */ |
| 247 local unsigned long crc32_little(crc, buf, len) |
| 248 unsigned long crc; |
| 249 const unsigned char FAR *buf; |
| 250 unsigned len; |
| 251 { |
| 252 register z_crc_t c; |
| 253 register const z_crc_t FAR *buf4; |
| 254 |
| 255 c = (z_crc_t)crc; |
| 256 c = ~c; |
| 257 while (len && ((ptrdiff_t)buf & 3)) { |
| 258 c = crc_table[0][(c ^ *buf++) & 0xff] ^ (c >> 8); |
| 259 len--; |
| 260 } |
| 261 |
| 262 buf4 = (const z_crc_t FAR *)(const void FAR *)buf; |
| 263 while (len >= 32) { |
| 264 DOLIT32; |
| 265 len -= 32; |
| 266 } |
| 267 while (len >= 4) { |
| 268 DOLIT4; |
| 269 len -= 4; |
| 270 } |
| 271 buf = (const unsigned char FAR *)buf4; |
| 272 |
| 273 if (len) do { |
| 274 c = crc_table[0][(c ^ *buf++) & 0xff] ^ (c >> 8); |
| 275 } while (--len); |
| 276 c = ~c; |
| 277 return (unsigned long)c; |
| 278 } |
| 279 |
| 280 /* ========================================================================= */ |
| 281 #define DOBIG4 c ^= *++buf4; \ |
| 282 c = crc_table[4][c & 0xff] ^ crc_table[5][(c >> 8) & 0xff] ^ \ |
| 283 crc_table[6][(c >> 16) & 0xff] ^ crc_table[7][c >> 24] |
| 284 #define DOBIG32 DOBIG4; DOBIG4; DOBIG4; DOBIG4; DOBIG4; DOBIG4; DOBIG4; DOBIG4 |
| 285 |
| 286 /* ========================================================================= */ |
| 287 local unsigned long crc32_big(crc, buf, len) |
| 288 unsigned long crc; |
| 289 const unsigned char FAR *buf; |
| 290 unsigned len; |
| 291 { |
| 292 register z_crc_t c; |
| 293 register const z_crc_t FAR *buf4; |
| 294 |
| 295 c = ZSWAP32((z_crc_t)crc); |
| 296 c = ~c; |
| 297 while (len && ((ptrdiff_t)buf & 3)) { |
| 298 c = crc_table[4][(c >> 24) ^ *buf++] ^ (c << 8); |
| 299 len--; |
| 300 } |
| 301 |
| 302 buf4 = (const z_crc_t FAR *)(const void FAR *)buf; |
| 303 buf4--; |
| 304 while (len >= 32) { |
| 305 DOBIG32; |
| 306 len -= 32; |
| 307 } |
| 308 while (len >= 4) { |
| 309 DOBIG4; |
| 310 len -= 4; |
| 311 } |
| 312 buf4++; |
| 313 buf = (const unsigned char FAR *)buf4; |
| 314 |
| 315 if (len) do { |
| 316 c = crc_table[4][(c >> 24) ^ *buf++] ^ (c << 8); |
| 317 } while (--len); |
| 318 c = ~c; |
| 319 return (unsigned long)(ZSWAP32(c)); |
| 320 } |
| 321 |
| 322 #endif /* BYFOUR */ |
| 323 |
| 324 #define GF2_DIM 32 /* dimension of GF(2) vectors (length of CRC) */ |
| 325 |
| 326 /* ========================================================================= */ |
| 327 local unsigned long gf2_matrix_times(mat, vec) |
| 328 unsigned long *mat; |
| 329 unsigned long vec; |
| 330 { |
| 331 unsigned long sum; |
| 332 |
| 333 sum = 0; |
| 334 while (vec) { |
| 335 if (vec & 1) |
| 336 sum ^= *mat; |
| 337 vec >>= 1; |
| 338 mat++; |
| 339 } |
| 340 return sum; |
| 341 } |
| 342 |
| 343 /* ========================================================================= */ |
| 344 local void gf2_matrix_square(square, mat) |
| 345 unsigned long *square; |
| 346 unsigned long *mat; |
| 347 { |
| 348 int n; |
| 349 |
| 350 for (n = 0; n < GF2_DIM; n++) |
| 351 square[n] = gf2_matrix_times(mat, mat[n]); |
| 352 } |
| 353 |
| 354 /* ========================================================================= */ |
| 355 local uLong crc32_combine_(crc1, crc2, len2) |
| 356 uLong crc1; |
| 357 uLong crc2; |
| 358 z_off64_t len2; |
| 359 { |
| 360 int n; |
| 361 unsigned long row; |
| 362 unsigned long even[GF2_DIM]; /* even-power-of-two zeros operator */ |
| 363 unsigned long odd[GF2_DIM]; /* odd-power-of-two zeros operator */ |
| 364 |
| 365 /* degenerate case (also disallow negative lengths) */ |
| 366 if (len2 <= 0) |
| 367 return crc1; |
| 368 |
| 369 /* put operator for one zero bit in odd */ |
| 370 odd[0] = 0xedb88320UL; /* CRC-32 polynomial */ |
| 371 row = 1; |
| 372 for (n = 1; n < GF2_DIM; n++) { |
| 373 odd[n] = row; |
| 374 row <<= 1; |
| 375 } |
| 376 |
| 377 /* put operator for two zero bits in even */ |
| 378 gf2_matrix_square(even, odd); |
| 379 |
| 380 /* put operator for four zero bits in odd */ |
| 381 gf2_matrix_square(odd, even); |
| 382 |
| 383 /* apply len2 zeros to crc1 (first square will put the operator for one |
| 384 zero byte, eight zero bits, in even) */ |
| 385 do { |
| 386 /* apply zeros operator for this bit of len2 */ |
| 387 gf2_matrix_square(even, odd); |
| 388 if (len2 & 1) |
| 389 crc1 = gf2_matrix_times(even, crc1); |
| 390 len2 >>= 1; |
| 391 |
| 392 /* if no more bits set, then done */ |
| 393 if (len2 == 0) |
| 394 break; |
| 395 |
| 396 /* another iteration of the loop with odd and even swapped */ |
| 397 gf2_matrix_square(odd, even); |
| 398 if (len2 & 1) |
| 399 crc1 = gf2_matrix_times(odd, crc1); |
| 400 len2 >>= 1; |
| 401 |
| 402 /* if no more bits set, then done */ |
| 403 } while (len2 != 0); |
| 404 |
| 405 /* return combined crc */ |
| 406 crc1 ^= crc2; |
| 407 return crc1; |
| 408 } |
| 409 |
| 410 /* ========================================================================= */ |
| 411 uLong ZEXPORT crc32_combine(crc1, crc2, len2) |
| 412 uLong crc1; |
| 413 uLong crc2; |
| 414 z_off_t len2; |
| 415 { |
| 416 return crc32_combine_(crc1, crc2, len2); |
| 417 } |
| 418 |
| 419 uLong ZEXPORT crc32_combine64(crc1, crc2, len2) |
| 420 uLong crc1; |
| 421 uLong crc2; |
| 422 z_off64_t len2; |
| 423 { |
| 424 return crc32_combine_(crc1, crc2, len2); |
| 425 } |
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