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1  /* adler32.c -- compute the Adler-32 checksum of a data stream
2   * Copyright (C) 1995-2004 Mark Adler
3   * For conditions of distribution and use, see copyright notice in zlib.h
4   */
5  
6  /* @(#) $Id: adler32.c,v 3.6 2005/08/04 19:14:14 tor%cs.brown.edu Exp $ */
7  
8  #define ZLIB_INTERNAL
9  #include "zlib.h"
10  
11  #define BASE 65521UL    /* largest prime smaller than 65536 */
12  #define NMAX 5552
13  /* NMAX is the largest n such that 255n(n+1)/2 + (n+1)(BASE-1) <= 2^32-1 */
14  
15  #define DO1(buf,i)  {adler += (buf)[i]; sum2 += adler;}
16  #define DO2(buf,i)  DO1(buf,i); DO1(buf,i+1);
17  #define DO4(buf,i)  DO2(buf,i); DO2(buf,i+2);
18  #define DO8(buf,i)  DO4(buf,i); DO4(buf,i+4);
19  #define DO16(buf)   DO8(buf,0); DO8(buf,8);
20  
21  /* use NO_DIVIDE if your processor does not do division in hardware */
22  #ifdef NO_DIVIDE
23  #  define MOD(a) \
24      do { \
25          if (a >= (BASE << 16)) a -= (BASE << 16); \
26          if (a >= (BASE << 15)) a -= (BASE << 15); \
27          if (a >= (BASE << 14)) a -= (BASE << 14); \
28          if (a >= (BASE << 13)) a -= (BASE << 13); \
29          if (a >= (BASE << 12)) a -= (BASE << 12); \
30          if (a >= (BASE << 11)) a -= (BASE << 11); \
31          if (a >= (BASE << 10)) a -= (BASE << 10); \
32          if (a >= (BASE << 9)) a -= (BASE << 9); \
33          if (a >= (BASE << 8)) a -= (BASE << 8); \
34          if (a >= (BASE << 7)) a -= (BASE << 7); \
35          if (a >= (BASE << 6)) a -= (BASE << 6); \
36          if (a >= (BASE << 5)) a -= (BASE << 5); \
37          if (a >= (BASE << 4)) a -= (BASE << 4); \
38          if (a >= (BASE << 3)) a -= (BASE << 3); \
39          if (a >= (BASE << 2)) a -= (BASE << 2); \
40          if (a >= (BASE << 1)) a -= (BASE << 1); \
41          if (a >= BASE) a -= BASE; \
42      } while (0)
43  #  define MOD4(a) \
44      do { \
45          if (a >= (BASE << 4)) a -= (BASE << 4); \
46          if (a >= (BASE << 3)) a -= (BASE << 3); \
47          if (a >= (BASE << 2)) a -= (BASE << 2); \
48          if (a >= (BASE << 1)) a -= (BASE << 1); \
49          if (a >= BASE) a -= BASE; \
50      } while (0)
51  #else
52  #  define MOD(a) a %= BASE
53  #  define MOD4(a) a %= BASE
54  #endif
55  
56  /* ========================================================================= */
adler32(adler,buf,len)57  uLong ZEXPORT adler32(adler, buf, len)
58      uLong adler;
59      const Bytef *buf;
60      uInt len;
61  {
62      unsigned long sum2;
63      unsigned n;
64  
65      /* split Adler-32 into component sums */
66      sum2 = (adler >> 16) & 0xffff;
67      adler &= 0xffff;
68  
69      /* in case user likes doing a byte at a time, keep it fast */
70      if (len == 1) {
71          adler += buf[0];
72          if (adler >= BASE)
73              adler -= BASE;
74          sum2 += adler;
75          if (sum2 >= BASE)
76              sum2 -= BASE;
77          return adler | (sum2 << 16);
78      }
79  
80      /* initial Adler-32 value (deferred check for len == 1 speed) */
81      if (buf == Z_NULL)
82          return 1L;
83  
84      /* in case short lengths are provided, keep it somewhat fast */
85      if (len < 16) {
86          while (len--) {
87              adler += *buf++;
88              sum2 += adler;
89          }
90          if (adler >= BASE)
91              adler -= BASE;
92          MOD4(sum2);             /* only added so many BASE's */
93          return adler | (sum2 << 16);
94      }
95  
96      /* do length NMAX blocks -- requires just one modulo operation */
97      while (len >= NMAX) {
98          len -= NMAX;
99          n = NMAX / 16;          /* NMAX is divisible by 16 */
100          do {
101              DO16(buf);          /* 16 sums unrolled */
102              buf += 16;
103          } while (--n);
104          MOD(adler);
105          MOD(sum2);
106      }
107  
108      /* do remaining bytes (less than NMAX, still just one modulo) */
109      if (len) {                  /* avoid modulos if none remaining */
110          while (len >= 16) {
111              len -= 16;
112              DO16(buf);
113              buf += 16;
114          }
115          while (len--) {
116              adler += *buf++;
117              sum2 += adler;
118          }
119          MOD(adler);
120          MOD(sum2);
121      }
122  
123      /* return recombined sums */
124      return adler | (sum2 << 16);
125  }
126  
127  /* ========================================================================= */
adler32_combine(adler1,adler2,len2)128  uLong ZEXPORT adler32_combine(adler1, adler2, len2)
129      uLong adler1;
130      uLong adler2;
131      z_off_t len2;
132  {
133      unsigned long sum1;
134      unsigned long sum2;
135      unsigned rem;
136  
137      /* the derivation of this formula is left as an exercise for the reader */
138      rem = (unsigned)(len2 % BASE);
139      sum1 = adler1 & 0xffff;
140      sum2 = rem * sum1;
141      MOD(sum2);
142      sum1 += (adler2 & 0xffff) + BASE - 1;
143      sum2 += ((adler1 >> 16) & 0xffff) + ((adler2 >> 16) & 0xffff) + BASE - rem;
144      if (sum1 > BASE) sum1 -= BASE;
145      if (sum1 > BASE) sum1 -= BASE;
146      if (sum2 > (BASE << 1)) sum2 -= (BASE << 1);
147      if (sum2 > BASE) sum2 -= BASE;
148      return sum1 | (sum2 << 16);
149  }
150