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1 | /* crc32.c -- compute the CRC-32 of a data stream | |
2 | * Copyright (C) 1995-2003 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 about a factor | |
9 | * of two increase in speed on a Power PC G4 (PPC7455) using gcc -O3. | |
10 | */ | |
11 | ||
12 | /* @(#) $Id$ */ | |
13 | ||
14 | #ifdef MAKECRCH | |
15 | # include <stdio.h> | |
16 | # ifndef DYNAMIC_CRC_TABLE | |
17 | # define DYNAMIC_CRC_TABLE | |
18 | # endif /* !DYNAMIC_CRC_TABLE */ | |
19 | #endif /* MAKECRCH */ | |
20 | ||
21 | #include "zutil.h" /* for STDC and FAR definitions */ | |
22 | ||
23 | #define local static | |
24 | ||
25 | /* Find a four-byte integer type for crc32_little() and crc32_big(). */ | |
26 | #ifndef NOBYFOUR | |
27 | # ifdef STDC /* need ANSI C limits.h to determine sizes */ | |
28 | # include <limits.h> | |
29 | # define BYFOUR | |
30 | # if (UINT_MAX == 0xffffffffUL) | |
31 | typedef unsigned int u4; | |
32 | # else | |
33 | # if (ULONG_MAX == 0xffffffffUL) | |
34 | typedef unsigned long u4; | |
35 | # else | |
36 | # if (USHRT_MAX == 0xffffffffUL) | |
37 | typedef unsigned short u4; | |
38 | # else | |
39 | # undef BYFOUR /* can't find a four-byte integer type! */ | |
40 | # endif | |
41 | # endif | |
42 | # endif | |
43 | # endif /* STDC */ | |
44 | #endif /* !NOBYFOUR */ | |
45 | ||
46 | /* Definitions for doing the crc four data bytes at a time. */ | |
47 | #ifdef BYFOUR | |
48 | # define REV(w) (((w)>>24)+(((w)>>8)&0xff00)+ \ | |
49 | (((w)&0xff00)<<8)+(((w)&0xff)<<24)) | |
50 | local unsigned long crc32_little OF((unsigned long, | |
51 | const unsigned char FAR *, unsigned)); | |
52 | local unsigned long crc32_big OF((unsigned long, | |
53 | const unsigned char FAR *, unsigned)); | |
54 | # define TBLS 8 | |
55 | #else | |
56 | # define TBLS 1 | |
57 | #endif /* BYFOUR */ | |
58 | ||
59 | #ifdef DYNAMIC_CRC_TABLE | |
60 | ||
61 | local int crc_table_empty = 1; | |
62 | local unsigned long FAR crc_table[TBLS][256]; | |
63 | local void make_crc_table OF((void)); | |
64 | #ifdef MAKECRCH | |
65 | local void write_table OF((FILE *, const unsigned long FAR *)); | |
66 | #endif /* MAKECRCH */ | |
67 | ||
68 | /* | |
69 | Generate tables for a byte-wise 32-bit CRC calculation on the polynomial: | |
70 | 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. | |
71 | ||
72 | Polynomials over GF(2) are represented in binary, one bit per coefficient, | |
73 | with the lowest powers in the most significant bit. Then adding polynomials | |
74 | is just exclusive-or, and multiplying a polynomial by x is a right shift by | |
75 | one. If we call the above polynomial p, and represent a byte as the | |
76 | polynomial q, also with the lowest power in the most significant bit (so the | |
77 | byte 0xb1 is the polynomial x^7+x^3+x+1), then the CRC is (q*x^32) mod p, | |
78 | where a mod b means the remainder after dividing a by b. | |
79 | ||
80 | This calculation is done using the shift-register method of multiplying and | |
81 | taking the remainder. The register is initialized to zero, and for each | |
82 | incoming bit, x^32 is added mod p to the register if the bit is a one (where | |
83 | x^32 mod p is p+x^32 = x^26+...+1), and the register is multiplied mod p by | |
84 | x (which is shifting right by one and adding x^32 mod p if the bit shifted | |
85 | out is a one). We start with the highest power (least significant bit) of | |
86 | q and repeat for all eight bits of q. | |
87 | ||
88 | The first table is simply the CRC of all possible eight bit values. This is | |
89 | all the information needed to generate CRCs on data a byte at a time for all | |
90 | combinations of CRC register values and incoming bytes. The remaining tables | |
91 | allow for word-at-a-time CRC calculation for both big-endian and little- | |
92 | endian machines, where a word is four bytes. | |
93 | */ | |
94 | local void make_crc_table() | |
95 | { | |
96 | unsigned long c; | |
97 | int n, k; | |
98 | unsigned long poly; /* polynomial exclusive-or pattern */ | |
99 | /* terms of polynomial defining this crc (except x^32): */ | |
100 | static const unsigned char p[] = {0,1,2,4,5,7,8,10,11,12,16,22,23,26}; | |
101 | ||
102 | /* make exclusive-or pattern from polynomial (0xedb88320UL) */ | |
103 | poly = 0UL; | |
104 | for (n = 0; n < sizeof(p)/sizeof(unsigned char); n++) | |
105 | poly |= 1UL << (31 - p[n]); | |
106 | ||
107 | /* generate a crc for every 8-bit value */ | |
108 | for (n = 0; n < 256; n++) { | |
109 | c = (unsigned long)n; | |
110 | for (k = 0; k < 8; k++) | |
111 | c = c & 1 ? poly ^ (c >> 1) : c >> 1; | |
112 | crc_table[0][n] = c; | |
113 | } | |
114 | ||
115 | #ifdef BYFOUR | |
116 | /* generate crc for each value followed by one, two, and three zeros, and | |
117 | then the byte reversal of those as well as the first table */ | |
118 | for (n = 0; n < 256; n++) { | |
119 | c = crc_table[0][n]; | |
120 | crc_table[4][n] = REV(c); | |
121 | for (k = 1; k < 4; k++) { | |
122 | c = crc_table[0][c & 0xff] ^ (c >> 8); | |
123 | crc_table[k][n] = c; | |
124 | crc_table[k + 4][n] = REV(c); | |
125 | } | |
126 | } | |
127 | #endif /* BYFOUR */ | |
128 | ||
129 | crc_table_empty = 0; | |
130 | ||
131 | #ifdef MAKECRCH | |
132 | /* write out CRC tables to crc32.h */ | |
133 | { | |
134 | FILE *out; | |
135 | ||
136 | out = fopen("crc32.h", "w"); | |
137 | if (out == NULL) return; | |
138 | fprintf(out, "/* crc32.h -- tables for rapid CRC calculation\n"); | |
139 | fprintf(out, " * Generated automatically by crc32.c\n */\n\n"); | |
140 | fprintf(out, "local const unsigned long FAR "); | |
141 | fprintf(out, "crc_table[TBLS][256] =\n{\n {\n"); | |
142 | write_table(out, crc_table[0]); | |
143 | # ifdef BYFOUR | |
144 | fprintf(out, "#ifdef BYFOUR\n"); | |
145 | for (k = 1; k < 8; k++) { | |
146 | fprintf(out, " },\n {\n"); | |
147 | write_table(out, crc_table[k]); | |
148 | } | |
149 | fprintf(out, "#endif\n"); | |
150 | # endif /* BYFOUR */ | |
151 | fprintf(out, " }\n};\n"); | |
152 | fclose(out); | |
153 | } | |
154 | #endif /* MAKECRCH */ | |
155 | } | |
156 | ||
157 | #ifdef MAKECRCH | |
158 | local void write_table(out, table) | |
159 | FILE *out; | |
160 | const unsigned long FAR *table; | |
161 | { | |
162 | int n; | |
163 | ||
164 | for (n = 0; n < 256; n++) | |
165 | fprintf(out, "%s0x%08lxUL%s", n % 5 ? "" : " ", table[n], | |
166 | n == 255 ? "\n" : (n % 5 == 4 ? ",\n" : ", ")); | |
167 | } | |
168 | #endif /* MAKECRCH */ | |
169 | ||
170 | #else /* !DYNAMIC_CRC_TABLE */ | |
171 | /* ======================================================================== | |
172 | * Tables of CRC-32s of all single-byte values, made by make_crc_table(). | |
173 | */ | |
174 | #include "crc32.h" | |
175 | #endif /* DYNAMIC_CRC_TABLE */ | |
176 | ||
177 | /* ========================================================================= | |
178 | * This function can be used by asm versions of crc32() | |
179 | */ | |
180 | const unsigned long FAR * ZEXPORT get_crc_table() | |
181 | { | |
182 | #ifdef DYNAMIC_CRC_TABLE | |
183 | if (crc_table_empty) make_crc_table(); | |
184 | #endif /* DYNAMIC_CRC_TABLE */ | |
185 | return (const unsigned long FAR *)crc_table; | |
186 | } | |
187 | ||
188 | /* ========================================================================= */ | |
189 | #define DO1 crc = crc_table[0][((int)crc ^ (*buf++)) & 0xff] ^ (crc >> 8) | |
190 | #define DO8 DO1; DO1; DO1; DO1; DO1; DO1; DO1; DO1 | |
191 | ||
192 | /* ========================================================================= */ | |
193 | unsigned long ZEXPORT crc32(crc, buf, len) | |
194 | unsigned long crc; | |
195 | const unsigned char FAR *buf; | |
196 | unsigned len; | |
197 | { | |
198 | if (buf == Z_NULL) return 0UL; | |
199 | ||
200 | #ifdef DYNAMIC_CRC_TABLE | |
201 | if (crc_table_empty) | |
202 | make_crc_table(); | |
203 | #endif /* DYNAMIC_CRC_TABLE */ | |
204 | ||
205 | #ifdef BYFOUR | |
206 | if (sizeof(void *) == sizeof(ptrdiff_t)) { | |
207 | u4 endian; | |
208 | ||
209 | endian = 1; | |
210 | if (*((unsigned char *)(&endian))) | |
211 | return crc32_little(crc, buf, len); | |
212 | else | |
213 | return crc32_big(crc, buf, len); | |
214 | } | |
215 | #endif /* BYFOUR */ | |
216 | crc = crc ^ 0xffffffffUL; | |
217 | while (len >= 8) { | |
218 | DO8; | |
219 | len -= 8; | |
220 | } | |
221 | if (len) do { | |
222 | DO1; | |
223 | } while (--len); | |
224 | return crc ^ 0xffffffffUL; | |
225 | } | |
226 | ||
227 | #ifdef BYFOUR | |
228 | ||
229 | /* ========================================================================= */ | |
230 | #define DOLIT4 c ^= *buf4++; \ | |
231 | c = crc_table[3][c & 0xff] ^ crc_table[2][(c >> 8) & 0xff] ^ \ | |
232 | crc_table[1][(c >> 16) & 0xff] ^ crc_table[0][c >> 24] | |
233 | #define DOLIT32 DOLIT4; DOLIT4; DOLIT4; DOLIT4; DOLIT4; DOLIT4; DOLIT4; DOLIT4 | |
234 | ||
235 | /* ========================================================================= */ | |
236 | local unsigned long crc32_little(crc, buf, len) | |
237 | unsigned long crc; | |
238 | const unsigned char FAR *buf; | |
239 | unsigned len; | |
240 | { | |
241 | register u4 c; | |
242 | register const u4 FAR *buf4; | |
243 | ||
244 | c = (u4)crc; | |
245 | c = ~c; | |
246 | while (len && ((ptrdiff_t)buf & 3)) { | |
247 | c = crc_table[0][(c ^ *buf++) & 0xff] ^ (c >> 8); | |
248 | len--; | |
249 | } | |
250 | ||
251 | buf4 = (const u4 FAR *)buf; | |
252 | while (len >= 32) { | |
253 | DOLIT32; | |
254 | len -= 32; | |
255 | } | |
256 | while (len >= 4) { | |
257 | DOLIT4; | |
258 | len -= 4; | |
259 | } | |
260 | buf = (const unsigned char FAR *)buf4; | |
261 | ||
262 | if (len) do { | |
263 | c = crc_table[0][(c ^ *buf++) & 0xff] ^ (c >> 8); | |
264 | } while (--len); | |
265 | c = ~c; | |
266 | return (unsigned long)c; | |
267 | } | |
268 | ||
269 | /* ========================================================================= */ | |
270 | #define DOBIG4 c ^= *++buf4; \ | |
271 | c = crc_table[4][c & 0xff] ^ crc_table[5][(c >> 8) & 0xff] ^ \ | |
272 | crc_table[6][(c >> 16) & 0xff] ^ crc_table[7][c >> 24] | |
273 | #define DOBIG32 DOBIG4; DOBIG4; DOBIG4; DOBIG4; DOBIG4; DOBIG4; DOBIG4; DOBIG4 | |
274 | ||
275 | /* ========================================================================= */ | |
276 | local unsigned long crc32_big(crc, buf, len) | |
277 | unsigned long crc; | |
278 | const unsigned char FAR *buf; | |
279 | unsigned len; | |
280 | { | |
281 | register u4 c; | |
282 | register const u4 FAR *buf4; | |
283 | ||
284 | c = REV((u4)crc); | |
285 | c = ~c; | |
286 | while (len && ((ptrdiff_t)buf & 3)) { | |
287 | c = crc_table[4][(c >> 24) ^ *buf++] ^ (c << 8); | |
288 | len--; | |
289 | } | |
290 | ||
291 | buf4 = (const u4 FAR *)buf; | |
292 | buf4--; | |
293 | while (len >= 32) { | |
294 | DOBIG32; | |
295 | len -= 32; | |
296 | } | |
297 | while (len >= 4) { | |
298 | DOBIG4; | |
299 | len -= 4; | |
300 | } | |
301 | buf4++; | |
302 | buf = (const unsigned char FAR *)buf4; | |
303 | ||
304 | if (len) do { | |
305 | c = crc_table[4][(c >> 24) ^ *buf++] ^ (c << 8); | |
306 | } while (--len); | |
307 | c = ~c; | |
308 | return (unsigned long)(REV(c)); | |
309 | } | |
310 | ||
311 | #endif /* BYFOUR */ |