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
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.
15 # ifndef DYNAMIC_CRC_TABLE
16 # define DYNAMIC_CRC_TABLE
17 # endif /* !DYNAMIC_CRC_TABLE */
20 #include "zutil.h" /* for STDC and FAR definitions */
24 /* Find a four-byte integer type for crc32_little() and crc32_big(). */
26 # ifdef STDC /* need ANSI C limits.h to determine sizes */
29 # if (UINT_MAX == 0xffffffffUL)
30 typedef unsigned int u4
;
32 # if (ULONG_MAX == 0xffffffffUL)
33 typedef unsigned long u4
;
35 # if (USHRT_MAX == 0xffffffffUL)
36 typedef unsigned short u4
;
38 # undef BYFOUR /* can't find a four-byte integer type! */
43 #endif /* !NOBYFOUR */
45 /* Definitions for doing the crc four data bytes at a time. */
47 # define REV(w) (((w)>>24)+(((w)>>8)&0xff00)+ \
48 (((w)&0xff00)<<8)+(((w)&0xff)<<24))
49 local
unsigned long crc32_little
OF((unsigned long,
50 const unsigned char FAR
*, unsigned));
51 local
unsigned long crc32_big
OF((unsigned long,
52 const unsigned char FAR
*, unsigned));
58 #ifdef DYNAMIC_CRC_TABLE
60 local
int crc_table_empty
= 1;
61 local
unsigned long FAR crc_table
[TBLS
][256];
62 local
void make_crc_table
OF((void));
64 local
void write_table
OF((FILE *, const unsigned long FAR
*));
68 Generate tables for a byte-wise 32-bit CRC calculation on the polynomial:
69 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 Polynomials over GF(2) are represented in binary, one bit per coefficient,
72 with the lowest powers in the most significant bit. Then adding polynomials
73 is just exclusive-or, and multiplying a polynomial by x is a right shift by
74 one. If we call the above polynomial p, and represent a byte as the
75 polynomial q, also with the lowest power in the most significant bit (so the
76 byte 0xb1 is the polynomial x^7+x^3+x+1), then the CRC is (q*x^32) mod p,
77 where a mod b means the remainder after dividing a by b.
79 This calculation is done using the shift-register method of multiplying and
80 taking the remainder. The register is initialized to zero, and for each
81 incoming bit, x^32 is added mod p to the register if the bit is a one (where
82 x^32 mod p is p+x^32 = x^26+...+1), and the register is multiplied mod p by
83 x (which is shifting right by one and adding x^32 mod p if the bit shifted
84 out is a one). We start with the highest power (least significant bit) of
85 q and repeat for all eight bits of q.
87 The first table is simply the CRC of all possible eight bit values. This is
88 all the information needed to generate CRCs on data a byte at a time for all
89 combinations of CRC register values and incoming bytes. The remaining tables
90 allow for word-at-a-time CRC calculation for both big-endian and little-
91 endian machines, where a word is four bytes.
93 local
void make_crc_table()
97 unsigned long poly
; /* polynomial exclusive-or pattern */
98 /* terms of polynomial defining this crc (except x^32): */
99 static const unsigned char p
[] = {0,1,2,4,5,7,8,10,11,12,16,22,23,26};
101 /* make exclusive-or pattern from polynomial (0xedb88320UL) */
103 for (n
= 0; n
< sizeof(p
)/sizeof(unsigned char); n
++)
104 poly
|= 1UL << (31 - p
[n
]);
106 /* generate a crc for every 8-bit value */
107 for (n
= 0; n
< 256; n
++) {
108 c
= (unsigned long)n
;
109 for (k
= 0; k
< 8; k
++)
110 c
= c
& 1 ? poly
^ (c
>> 1) : c
>> 1;
115 /* generate crc for each value followed by one, two, and three zeros, and
116 then the byte reversal of those as well as the first table */
117 for (n
= 0; n
< 256; n
++) {
119 crc_table
[4][n
] = REV(c
);
120 for (k
= 1; k
< 4; k
++) {
121 c
= crc_table
[0][c
& 0xff] ^ (c
>> 8);
123 crc_table
[k
+ 4][n
] = REV(c
);
131 /* write out CRC tables to crc32.h */
135 out
= fopen("crc32.h", "w");
136 if (out
== NULL
) return;
137 fprintf(out
, "/* crc32.h -- tables for rapid CRC calculation\n");
138 fprintf(out
, " * Generated automatically by crc32.c\n */\n\n");
139 fprintf(out
, "local const unsigned long FAR ");
140 fprintf(out
, "crc_table[TBLS][256] =\n{\n {\n");
141 write_table(out
, crc_table
[0]);
143 fprintf(out
, "#ifdef BYFOUR\n");
144 for (k
= 1; k
< 8; k
++) {
145 fprintf(out
, " },\n {\n");
146 write_table(out
, crc_table
[k
]);
148 fprintf(out
, "#endif\n");
150 fprintf(out
, " }\n};\n");
153 #endif /* MAKECRCH */
157 local
void write_table(out
, table
)
159 const unsigned long FAR
*table
;
163 for (n
= 0; n
< 256; n
++)
164 fprintf(out
, "%s0x%08lxUL%s", n
% 5 ? "" : " ", table
[n
],
165 n
== 255 ? "\n" : (n
% 5 == 4 ? ",\n" : ", "));
167 #endif /* MAKECRCH */
169 #else /* !DYNAMIC_CRC_TABLE */
170 /* ========================================================================
171 * Tables of CRC-32s of all single-byte values, made by make_crc_table().
174 #endif /* DYNAMIC_CRC_TABLE */
176 /* =========================================================================
177 * This function can be used by asm versions of crc32()
179 const unsigned long FAR
* ZEXPORT
get_crc_table()
181 #ifdef DYNAMIC_CRC_TABLE
182 if (crc_table_empty
) make_crc_table();
183 #endif /* DYNAMIC_CRC_TABLE */
184 return (const unsigned long FAR
*)crc_table
;
187 /* ========================================================================= */
188 #define DO1 crc = crc_table[0][((int)crc ^ (*buf++)) & 0xff] ^ (crc >> 8)
189 #define DO8 DO1; DO1; DO1; DO1; DO1; DO1; DO1; DO1
191 /* ========================================================================= */
192 unsigned long ZEXPORT
crc32(crc
, buf
, len
)
194 const unsigned char FAR
*buf
;
197 if (buf
== Z_NULL
) return 0UL;
199 #ifdef DYNAMIC_CRC_TABLE
202 #endif /* DYNAMIC_CRC_TABLE */
205 if (sizeof(void *) == sizeof(ptrdiff_t)) {
209 if (*((unsigned char *)(&endian
)))
210 return crc32_little(crc
, buf
, len
);
212 return crc32_big(crc
, buf
, len
);
215 crc
= crc
^ 0xffffffffUL
;
223 return crc
^ 0xffffffffUL
;
228 /* ========================================================================= */
229 #define DOLIT4 c ^= *buf4++; \
230 c = crc_table[3][c & 0xff] ^ crc_table[2][(c >> 8) & 0xff] ^ \
231 crc_table[1][(c >> 16) & 0xff] ^ crc_table[0][c >> 24]
232 #define DOLIT32 DOLIT4; DOLIT4; DOLIT4; DOLIT4; DOLIT4; DOLIT4; DOLIT4; DOLIT4
234 /* ========================================================================= */
235 local
unsigned long crc32_little(crc
, buf
, len
)
237 const unsigned char FAR
*buf
;
241 register const u4 FAR
*buf4
;
245 while (len
&& ((ptrdiff_t)buf
& 3)) {
246 c
= crc_table
[0][(c
^ *buf
++) & 0xff] ^ (c
>> 8);
250 buf4
= (const u4 FAR
*)buf
;
259 buf
= (const unsigned char FAR
*)buf4
;
262 c
= crc_table
[0][(c
^ *buf
++) & 0xff] ^ (c
>> 8);
265 return (unsigned long)c
;
268 /* ========================================================================= */
269 #define DOBIG4 c ^= *++buf4; \
270 c = crc_table[4][c & 0xff] ^ crc_table[5][(c >> 8) & 0xff] ^ \
271 crc_table[6][(c >> 16) & 0xff] ^ crc_table[7][c >> 24]
272 #define DOBIG32 DOBIG4; DOBIG4; DOBIG4; DOBIG4; DOBIG4; DOBIG4; DOBIG4; DOBIG4
274 /* ========================================================================= */
275 local
unsigned long crc32_big(crc
, buf
, len
)
277 const unsigned char FAR
*buf
;
281 register const u4 FAR
*buf4
;
285 while (len
&& ((ptrdiff_t)buf
& 3)) {
286 c
= crc_table
[4][(c
>> 24) ^ *buf
++] ^ (c
<< 8);
290 buf4
= (const u4 FAR
*)buf
;
301 buf
= (const unsigned char FAR
*)buf4
;
304 c
= crc_table
[4][(c
>> 24) ^ *buf
++] ^ (c
<< 8);
307 return (unsigned long)(REV(c
));