xref: /xnu-12377.41.6/libkern/zlib/adler32.c (revision bbb1b6f9e71b8cdde6e5cd6f4841f207dee3d828)
1 /*
2  * Copyright (c) 2008-2016 Apple Inc. All rights reserved.
3  *
4  * @APPLE_OSREFERENCE_LICENSE_HEADER_START@
5  *
6  * This file contains Original Code and/or Modifications of Original Code
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8  * Version 2.0 (the 'License'). You may not use this file except in
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15  * Please obtain a copy of the License at
16  * http://www.opensource.apple.com/apsl/ and read it before using this file.
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20  * EXPRESS OR IMPLIED, AND APPLE HEREBY DISCLAIMS ALL SUCH WARRANTIES,
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27  */
28 /* adler32.c -- compute the Adler-32 checksum of a data stream
29  * Copyright (C) 1995-2004 Mark Adler
30  * For conditions of distribution and use, see copyright notice in zlib.h
31  */
32 
33 /* @(#) $Id$ */
34 
35 
36 #define ZLIB_INTERNAL
37 #if KERNEL
38     #include <libkern/zlib.h>
39 #else
40     #include "zlib.h"
41 #endif /* KERNEL */
42 
43 
44 #define BASE 65521UL    /* largest prime smaller than 65536 */
45 #define NMAX 5552
46 /* NMAX is the largest n such that 255n(n+1)/2 + (n+1)(BASE-1) <= 2^32-1 */
47 
48 #define DO1(buf,i)  {adler += (buf)[i]; sum2 += adler;}
49 #define DO2(buf,i)  DO1(buf,i); DO1(buf,i+1);
50 #define DO4(buf,i)  DO2(buf,i); DO2(buf,i+2);
51 #define DO8(buf,i)  DO4(buf,i); DO4(buf,i+4);
52 #define DO16(buf)   DO8(buf,0); DO8(buf,8);
53 
54 /* use NO_DIVIDE if your processor does not do division in hardware */
55 #ifdef NO_DIVIDE
56 #  define MOD(a) \
57     do { \
58         if (a >= (BASE << 16)) a -= (BASE << 16); \
59         if (a >= (BASE << 15)) a -= (BASE << 15); \
60         if (a >= (BASE << 14)) a -= (BASE << 14); \
61         if (a >= (BASE << 13)) a -= (BASE << 13); \
62         if (a >= (BASE << 12)) a -= (BASE << 12); \
63         if (a >= (BASE << 11)) a -= (BASE << 11); \
64         if (a >= (BASE << 10)) a -= (BASE << 10); \
65         if (a >= (BASE << 9)) a -= (BASE << 9); \
66         if (a >= (BASE << 8)) a -= (BASE << 8); \
67         if (a >= (BASE << 7)) a -= (BASE << 7); \
68         if (a >= (BASE << 6)) a -= (BASE << 6); \
69         if (a >= (BASE << 5)) a -= (BASE << 5); \
70         if (a >= (BASE << 4)) a -= (BASE << 4); \
71         if (a >= (BASE << 3)) a -= (BASE << 3); \
72         if (a >= (BASE << 2)) a -= (BASE << 2); \
73         if (a >= (BASE << 1)) a -= (BASE << 1); \
74         if (a >= BASE) a -= BASE; \
75     } while (0)
76 #  define MOD4(a) \
77     do { \
78         if (a >= (BASE << 4)) a -= (BASE << 4); \
79         if (a >= (BASE << 3)) a -= (BASE << 3); \
80         if (a >= (BASE << 2)) a -= (BASE << 2); \
81         if (a >= (BASE << 1)) a -= (BASE << 1); \
82         if (a >= BASE) a -= BASE; \
83     } while (0)
84 #else
85 #  define MOD(a) a %= BASE
86 #  define MOD4(a) a %= BASE
87 #endif
88 
89 /* ========================================================================= */
90 uLong ZEXPORT
adler32(uLong adler,const Bytef * buf,uInt len)91 adler32(uLong adler, const Bytef *buf, uInt len)
92 {
93     unsigned long sum2;
94     unsigned n;
95 
96     /* split Adler-32 into component sums */
97     sum2 = (adler >> 16) & 0xffff;
98     adler &= 0xffff;
99 
100     /* in case user likes doing a byte at a time, keep it fast */
101     if (len == 1) {
102         adler += buf[0];
103         if (adler >= BASE)
104             adler -= BASE;
105         sum2 += adler;
106         if (sum2 >= BASE)
107             sum2 -= BASE;
108         return adler | (sum2 << 16);
109     }
110 
111     /* initial Adler-32 value (deferred check for len == 1 speed) */
112     if (buf == Z_NULL)
113         return 1L;
114 
115     /* in case short lengths are provided, keep it somewhat fast */
116     if (len < 16) {
117         while (len--) {
118             adler += *buf++;
119             sum2 += adler;
120         }
121         if (adler >= BASE)
122             adler -= BASE;
123         MOD4(sum2);             /* only added so many BASE's */
124         return adler | (sum2 << 16);
125     }
126 
127 
128     /* do length NMAX blocks -- requires just one modulo operation */
129     while (len >= NMAX) {
130         len -= NMAX;
131         n = NMAX / 16;          /* NMAX is divisible by 16 */
132         do {
133             DO16(buf);          /* 16 sums unrolled */
134             buf += 16;
135         } while (--n);
136         MOD(adler);
137         MOD(sum2);
138     }
139 
140     /* do remaining bytes (less than NMAX, still just one modulo) */
141     if (len) {                  /* avoid modulos if none remaining */
142         while (len >= 16) {
143             len -= 16;
144             DO16(buf);
145             buf += 16;
146         }
147         while (len--) {
148             adler += *buf++;
149             sum2 += adler;
150         }
151         MOD(adler);
152         MOD(sum2);
153     }
154 
155     /* return recombined sums */
156     return adler | (sum2 << 16);
157 }
158 
159 /* ========================================================================= */
160 uLong ZEXPORT
adler32_combine(uLong adler1,uLong adler2,z_off_t len2)161 adler32_combine(uLong adler1, uLong adler2, z_off_t len2)
162 {
163     unsigned long sum1;
164     unsigned long sum2;
165     unsigned rem;
166 
167     /* the derivation of this formula is left as an exercise for the reader */
168     rem = (unsigned)(len2 % BASE);
169     sum1 = adler1 & 0xffff;
170     sum2 = rem * sum1;
171     MOD(sum2);
172     sum1 += (adler2 & 0xffff) + BASE - 1;
173     sum2 += ((adler1 >> 16) & 0xffff) + ((adler2 >> 16) & 0xffff) + BASE - rem;
174     if (sum1 > BASE) sum1 -= BASE;
175     if (sum1 > BASE) sum1 -= BASE;
176     if (sum2 > (BASE << 1)) sum2 -= (BASE << 1);
177     if (sum2 > BASE) sum2 -= BASE;
178     return sum1 | (sum2 << 16);
179 }
180