1 /* $NetBSD: crc32.c,v 1.4 2006/02/18 18:39:58 dsl Exp $ */
3 /* crc32.c -- compute the CRC-32 of a data stream
4 * Copyright (C) 1995-2005 Mark Adler
5 * For conditions of distribution and use, see copyright notice in zlib.h
7 * Thanks to Rodney Brown <rbrown64@csc.com.au> for his contribution of faster
8 * CRC methods: exclusive-oring 32 bits of data at a time, and pre-computing
9 * tables for updating the shift register in one step with three exclusive-ors
10 * instead of four steps with four exclusive-ors. This results in about a
11 * factor of two increase in speed on a Power PC G4 (PPC7455) using gcc -O3.
17 Note on the use of DYNAMIC_CRC_TABLE: there is no mutex or semaphore
18 protection on the static variables used to control the first-use generation
19 of the crc tables. Therefore, if you #define DYNAMIC_CRC_TABLE, you should
20 first call get_crc_table() to initialize the tables before allowing more than
21 one thread to use crc32().
26 # ifndef DYNAMIC_CRC_TABLE
27 # define DYNAMIC_CRC_TABLE
28 # endif /* !DYNAMIC_CRC_TABLE */
31 #include "zutil.h" /* for STDC and FAR definitions */
35 #if defined(__NetBSD__) && defined(_STANDALONE)
37 #define DYNAMIC_CRC_TABLE
40 /* Find a four-byte integer type for crc32_little() and crc32_big(). */
42 #if defined(__NetBSD__) && defined(_KERNEL)
46 # ifdef STDC /* need ANSI C limits.h to determine sizes */
49 # if (UINT_MAX == 0xffffffffUL)
50 typedef unsigned int u4
;
52 # if (ULONG_MAX == 0xffffffffUL)
53 typedef unsigned long u4
;
55 # if (USHRT_MAX == 0xffffffffUL)
56 typedef unsigned short u4
;
58 # undef BYFOUR /* can't find a four-byte integer type! */
63 #endif /* __NetBSD__ && _KERNEL */
64 #endif /* !NOBYFOUR */
66 /* Definitions for doing the crc four data bytes at a time. */
68 # define REV(w) (((w)>>24)+(((w)>>8)&0xff00)+ \
69 (((w)&0xff00)<<8)+(((w)&0xff)<<24))
70 local
unsigned long crc32_little
OF((unsigned long,
71 const unsigned char FAR
*, unsigned));
72 local
unsigned long crc32_big
OF((unsigned long,
73 const unsigned char FAR
*, unsigned));
79 /* Local functions for crc concatenation */
80 local
unsigned long gf2_matrix_times
OF((unsigned long *mat
,
82 local
void gf2_matrix_square
OF((unsigned long *square
, unsigned long *mat
));
84 #ifdef DYNAMIC_CRC_TABLE
86 local
volatile int crc_table_empty
= 1;
87 local
unsigned long FAR crc_table
[TBLS
][256];
88 local
void make_crc_table
OF((void));
90 local
void write_table
OF((FILE *, const unsigned long FAR
*));
93 Generate tables for a byte-wise 32-bit CRC calculation on the polynomial:
94 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.
96 Polynomials over GF(2) are represented in binary, one bit per coefficient,
97 with the lowest powers in the most significant bit. Then adding polynomials
98 is just exclusive-or, and multiplying a polynomial by x is a right shift by
99 one. If we call the above polynomial p, and represent a byte as the
100 polynomial q, also with the lowest power in the most significant bit (so the
101 byte 0xb1 is the polynomial x^7+x^3+x+1), then the CRC is (q*x^32) mod p,
102 where a mod b means the remainder after dividing a by b.
104 This calculation is done using the shift-register method of multiplying and
105 taking the remainder. The register is initialized to zero, and for each
106 incoming bit, x^32 is added mod p to the register if the bit is a one (where
107 x^32 mod p is p+x^32 = x^26+...+1), and the register is multiplied mod p by
108 x (which is shifting right by one and adding x^32 mod p if the bit shifted
109 out is a one). We start with the highest power (least significant bit) of
110 q and repeat for all eight bits of q.
112 The first table is simply the CRC of all possible eight bit values. This is
113 all the information needed to generate CRCs on data a byte at a time for all
114 combinations of CRC register values and incoming bytes. The remaining tables
115 allow for word-at-a-time CRC calculation for both big-endian and little-
116 endian machines, where a word is four bytes.
118 local
void make_crc_table()
122 unsigned long poly
; /* polynomial exclusive-or pattern */
123 /* terms of polynomial defining this crc (except x^32): */
124 static volatile int first
= 1; /* flag to limit concurrent making */
125 static const unsigned char p
[] = {0,1,2,4,5,7,8,10,11,12,16,22,23,26};
127 /* See if another task is already doing this (not thread-safe, but better
128 than nothing -- significantly reduces duration of vulnerability in
129 case the advice about DYNAMIC_CRC_TABLE is ignored) */
133 /* make exclusive-or pattern from polynomial (0xedb88320UL) */
135 for (n
= 0; n
< sizeof(p
)/sizeof(unsigned char); n
++)
136 poly
|= 1UL << (31 - p
[n
]);
138 /* generate a crc for every 8-bit value */
139 for (n
= 0; n
< 256; n
++) {
140 c
= (unsigned long)n
;
141 for (k
= 0; k
< 8; k
++)
142 c
= c
& 1 ? poly
^ (c
>> 1) : c
>> 1;
147 /* generate crc for each value followed by one, two, and three zeros,
148 and then the byte reversal of those as well as the first table */
149 for (n
= 0; n
< 256; n
++) {
151 crc_table
[4][n
] = REV(c
);
152 for (k
= 1; k
< 4; k
++) {
153 c
= crc_table
[0][c
& 0xff] ^ (c
>> 8);
155 crc_table
[k
+ 4][n
] = REV(c
);
162 else { /* not first */
163 /* wait for the other guy to finish (not efficient, but rare) */
164 while (crc_table_empty
)
169 /* write out CRC tables to crc32.h */
173 out
= fopen("crc32.h", "w");
174 if (out
== NULL
) return;
175 fprintf(out
, "/* crc32.h -- tables for rapid CRC calculation\n");
176 fprintf(out
, " * Generated automatically by crc32.c\n */\n\n");
177 fprintf(out
, "local const unsigned long FAR ");
178 fprintf(out
, "crc_table[TBLS][256] =\n{\n {\n");
179 write_table(out
, crc_table
[0]);
181 fprintf(out
, "#ifdef BYFOUR\n");
182 for (k
= 1; k
< 8; k
++) {
183 fprintf(out
, " },\n {\n");
184 write_table(out
, crc_table
[k
]);
186 fprintf(out
, "#endif\n");
188 fprintf(out
, " }\n};\n");
191 #endif /* MAKECRCH */
195 local
void write_table(out
, table
)
197 const unsigned long FAR
*table
;
201 for (n
= 0; n
< 256; n
++)
202 fprintf(out
, "%s0x%08lxUL%s", n
% 5 ? "" : " ", table
[n
],
203 n
== 255 ? "\n" : (n
% 5 == 4 ? ",\n" : ", "));
205 #endif /* MAKECRCH */
207 #else /* !DYNAMIC_CRC_TABLE */
208 /* ========================================================================
209 * Tables of CRC-32s of all single-byte values, made by make_crc_table().
212 #endif /* DYNAMIC_CRC_TABLE */
214 /* =========================================================================
215 * This function can be used by asm versions of crc32()
217 const unsigned long FAR
* ZEXPORT
get_crc_table()
219 #ifdef DYNAMIC_CRC_TABLE
222 #endif /* DYNAMIC_CRC_TABLE */
223 return (const unsigned long FAR
*)crc_table
;
226 /* ========================================================================= */
227 #define DO1 crc = crc_table[0][((int)crc ^ (*buf++)) & 0xff] ^ (crc >> 8)
228 #define DO8 DO1; DO1; DO1; DO1; DO1; DO1; DO1; DO1
230 /* ========================================================================= */
231 unsigned long ZEXPORT
crc32(crc
, buf
, len
)
233 const unsigned char FAR
*buf
;
236 if (buf
== Z_NULL
) return 0UL;
238 #ifdef DYNAMIC_CRC_TABLE
241 #endif /* DYNAMIC_CRC_TABLE */
244 if (sizeof(void *) == sizeof(z_ptrdiff_t
)) {
248 if (*((unsigned char *)(&endian
)))
249 return crc32_little(crc
, buf
, len
);
251 return crc32_big(crc
, buf
, len
);
254 crc
= crc
^ 0xffffffffUL
;
262 return crc
^ 0xffffffffUL
;
267 /* ========================================================================= */
268 #define DOLIT4 c ^= *buf4++; \
269 c = crc_table[3][c & 0xff] ^ crc_table[2][(c >> 8) & 0xff] ^ \
270 crc_table[1][(c >> 16) & 0xff] ^ crc_table[0][c >> 24]
271 #define DOLIT32 DOLIT4; DOLIT4; DOLIT4; DOLIT4; DOLIT4; DOLIT4; DOLIT4; DOLIT4
273 /* ========================================================================= */
274 local
unsigned long crc32_little(crc
, buf
, len
)
276 const unsigned char FAR
*buf
;
280 register const u4 FAR
*buf4
;
284 while (len
&& ((z_ptrdiff_t
)buf
& 3)) {
285 c
= crc_table
[0][(c
^ *buf
++) & 0xff] ^ (c
>> 8);
289 buf4
= (const u4 FAR
*)(const void FAR
*)buf
;
298 buf
= (const unsigned char FAR
*)buf4
;
301 c
= crc_table
[0][(c
^ *buf
++) & 0xff] ^ (c
>> 8);
304 return (unsigned long)c
;
307 /* ========================================================================= */
308 #define DOBIG4 c ^= *++buf4; \
309 c = crc_table[4][c & 0xff] ^ crc_table[5][(c >> 8) & 0xff] ^ \
310 crc_table[6][(c >> 16) & 0xff] ^ crc_table[7][c >> 24]
311 #define DOBIG32 DOBIG4; DOBIG4; DOBIG4; DOBIG4; DOBIG4; DOBIG4; DOBIG4; DOBIG4
313 /* ========================================================================= */
314 local
unsigned long crc32_big(crc
, buf
, len
)
316 const unsigned char FAR
*buf
;
320 register const u4 FAR
*buf4
;
324 while (len
&& ((z_ptrdiff_t
)buf
& 3)) {
325 c
= crc_table
[4][(c
>> 24) ^ *buf
++] ^ (c
<< 8);
329 buf4
= (const u4 FAR
*)(const void FAR
*)buf
;
340 buf
= (const unsigned char FAR
*)buf4
;
343 c
= crc_table
[4][(c
>> 24) ^ *buf
++] ^ (c
<< 8);
346 return (unsigned long)(REV(c
));
351 #define GF2_DIM 32 /* dimension of GF(2) vectors (length of CRC) */
353 /* ========================================================================= */
354 local
unsigned long gf2_matrix_times(mat
, vec
)
370 /* ========================================================================= */
371 local
void gf2_matrix_square(square
, mat
)
372 unsigned long *square
;
377 for (n
= 0; n
< GF2_DIM
; n
++)
378 square
[n
] = gf2_matrix_times(mat
, mat
[n
]);
381 /* ========================================================================= */
382 uLong ZEXPORT
crc32_combine(crc1
, crc2
, len2
)
389 unsigned long even
[GF2_DIM
]; /* even-power-of-two zeros operator */
390 unsigned long odd
[GF2_DIM
]; /* odd-power-of-two zeros operator */
392 /* degenerate case */
396 /* put operator for one zero bit in odd */
397 odd
[0] = 0xedb88320L
; /* CRC-32 polynomial */
399 for (n
= 1; n
< GF2_DIM
; n
++) {
404 /* put operator for two zero bits in even */
405 gf2_matrix_square(even
, odd
);
407 /* put operator for four zero bits in odd */
408 gf2_matrix_square(odd
, even
);
410 /* apply len2 zeros to crc1 (first square will put the operator for one
411 zero byte, eight zero bits, in even) */
413 /* apply zeros operator for this bit of len2 */
414 gf2_matrix_square(even
, odd
);
416 crc1
= gf2_matrix_times(even
, crc1
);
419 /* if no more bits set, then done */
423 /* another iteration of the loop with odd and even swapped */
424 gf2_matrix_square(odd
, even
);
426 crc1
= gf2_matrix_times(odd
, crc1
);
429 /* if no more bits set, then done */
432 /* return combined crc */