1221b1638SMasahiro Yamada /* adler32.c -- compute the Adler-32 checksum of a data stream 2221b1638SMasahiro Yamada * Copyright (C) 1995-2011, 2016 Mark Adler 3221b1638SMasahiro Yamada * For conditions of distribution and use, see copyright notice in zlib.h 4221b1638SMasahiro Yamada */ 5221b1638SMasahiro Yamada 6221b1638SMasahiro Yamada /* @(#) $Id$ */ 7221b1638SMasahiro Yamada 8221b1638SMasahiro Yamada #include "zutil.h" 9221b1638SMasahiro Yamada 10221b1638SMasahiro Yamada #define BASE 65521U /* largest prime smaller than 65536 */ 11221b1638SMasahiro Yamada #define NMAX 5552 12221b1638SMasahiro Yamada /* NMAX is the largest n such that 255n(n+1)/2 + (n+1)(BASE-1) <= 2^32-1 */ 13221b1638SMasahiro Yamada 14221b1638SMasahiro Yamada #define DO1(buf,i) {adler += (buf)[i]; sum2 += adler;} 15221b1638SMasahiro Yamada #define DO2(buf,i) DO1(buf,i); DO1(buf,i+1); 16221b1638SMasahiro Yamada #define DO4(buf,i) DO2(buf,i); DO2(buf,i+2); 17221b1638SMasahiro Yamada #define DO8(buf,i) DO4(buf,i); DO4(buf,i+4); 18221b1638SMasahiro Yamada #define DO16(buf) DO8(buf,0); DO8(buf,8); 19221b1638SMasahiro Yamada 20221b1638SMasahiro Yamada /* use NO_DIVIDE if your processor does not do division in hardware -- 21221b1638SMasahiro Yamada try it both ways to see which is faster */ 22221b1638SMasahiro Yamada #ifdef NO_DIVIDE 23221b1638SMasahiro Yamada /* note that this assumes BASE is 65521, where 65536 % 65521 == 15 24221b1638SMasahiro Yamada (thank you to John Reiser for pointing this out) */ 25221b1638SMasahiro Yamada # define CHOP(a) \ 26221b1638SMasahiro Yamada do { \ 27221b1638SMasahiro Yamada unsigned long tmp = a >> 16; \ 28221b1638SMasahiro Yamada a &= 0xffffUL; \ 29221b1638SMasahiro Yamada a += (tmp << 4) - tmp; \ 30221b1638SMasahiro Yamada } while (0) 31221b1638SMasahiro Yamada # define MOD28(a) \ 32221b1638SMasahiro Yamada do { \ 33221b1638SMasahiro Yamada CHOP(a); \ 34221b1638SMasahiro Yamada if (a >= BASE) a -= BASE; \ 35221b1638SMasahiro Yamada } while (0) 36221b1638SMasahiro Yamada # define MOD(a) \ 37221b1638SMasahiro Yamada do { \ 38221b1638SMasahiro Yamada CHOP(a); \ 39221b1638SMasahiro Yamada MOD28(a); \ 40221b1638SMasahiro Yamada } while (0) 41221b1638SMasahiro Yamada # define MOD63(a) \ 42221b1638SMasahiro Yamada do { /* this assumes a is not negative */ \ 43221b1638SMasahiro Yamada z_off64_t tmp = a >> 32; \ 44221b1638SMasahiro Yamada a &= 0xffffffffL; \ 45221b1638SMasahiro Yamada a += (tmp << 8) - (tmp << 5) + tmp; \ 46221b1638SMasahiro Yamada tmp = a >> 16; \ 47221b1638SMasahiro Yamada a &= 0xffffL; \ 48221b1638SMasahiro Yamada a += (tmp << 4) - tmp; \ 49221b1638SMasahiro Yamada tmp = a >> 16; \ 50221b1638SMasahiro Yamada a &= 0xffffL; \ 51221b1638SMasahiro Yamada a += (tmp << 4) - tmp; \ 52221b1638SMasahiro Yamada if (a >= BASE) a -= BASE; \ 53221b1638SMasahiro Yamada } while (0) 54221b1638SMasahiro Yamada #else 55221b1638SMasahiro Yamada # define MOD(a) a %= BASE 56221b1638SMasahiro Yamada # define MOD28(a) a %= BASE 57221b1638SMasahiro Yamada # define MOD63(a) a %= BASE 58221b1638SMasahiro Yamada #endif 59221b1638SMasahiro Yamada 60221b1638SMasahiro Yamada /* ========================================================================= */ 61*fd39217aSManish Pandey uLong ZEXPORT adler32_z(uLong adler, const Bytef *buf, z_size_t len) { 62221b1638SMasahiro Yamada unsigned long sum2; 63221b1638SMasahiro Yamada unsigned n; 64221b1638SMasahiro Yamada 65221b1638SMasahiro Yamada /* split Adler-32 into component sums */ 66221b1638SMasahiro Yamada sum2 = (adler >> 16) & 0xffff; 67221b1638SMasahiro Yamada adler &= 0xffff; 68221b1638SMasahiro Yamada 69221b1638SMasahiro Yamada /* in case user likes doing a byte at a time, keep it fast */ 70221b1638SMasahiro Yamada if (len == 1) { 71221b1638SMasahiro Yamada adler += buf[0]; 72221b1638SMasahiro Yamada if (adler >= BASE) 73221b1638SMasahiro Yamada adler -= BASE; 74221b1638SMasahiro Yamada sum2 += adler; 75221b1638SMasahiro Yamada if (sum2 >= BASE) 76221b1638SMasahiro Yamada sum2 -= BASE; 77221b1638SMasahiro Yamada return adler | (sum2 << 16); 78221b1638SMasahiro Yamada } 79221b1638SMasahiro Yamada 80221b1638SMasahiro Yamada /* initial Adler-32 value (deferred check for len == 1 speed) */ 81221b1638SMasahiro Yamada if (buf == Z_NULL) 82221b1638SMasahiro Yamada return 1L; 83221b1638SMasahiro Yamada 84221b1638SMasahiro Yamada /* in case short lengths are provided, keep it somewhat fast */ 85221b1638SMasahiro Yamada if (len < 16) { 86221b1638SMasahiro Yamada while (len--) { 87221b1638SMasahiro Yamada adler += *buf++; 88221b1638SMasahiro Yamada sum2 += adler; 89221b1638SMasahiro Yamada } 90221b1638SMasahiro Yamada if (adler >= BASE) 91221b1638SMasahiro Yamada adler -= BASE; 92221b1638SMasahiro Yamada MOD28(sum2); /* only added so many BASE's */ 93221b1638SMasahiro Yamada return adler | (sum2 << 16); 94221b1638SMasahiro Yamada } 95221b1638SMasahiro Yamada 96221b1638SMasahiro Yamada /* do length NMAX blocks -- requires just one modulo operation */ 97221b1638SMasahiro Yamada while (len >= NMAX) { 98221b1638SMasahiro Yamada len -= NMAX; 99221b1638SMasahiro Yamada n = NMAX / 16; /* NMAX is divisible by 16 */ 100221b1638SMasahiro Yamada do { 101221b1638SMasahiro Yamada DO16(buf); /* 16 sums unrolled */ 102221b1638SMasahiro Yamada buf += 16; 103221b1638SMasahiro Yamada } while (--n); 104221b1638SMasahiro Yamada MOD(adler); 105221b1638SMasahiro Yamada MOD(sum2); 106221b1638SMasahiro Yamada } 107221b1638SMasahiro Yamada 108221b1638SMasahiro Yamada /* do remaining bytes (less than NMAX, still just one modulo) */ 109221b1638SMasahiro Yamada if (len) { /* avoid modulos if none remaining */ 110221b1638SMasahiro Yamada while (len >= 16) { 111221b1638SMasahiro Yamada len -= 16; 112221b1638SMasahiro Yamada DO16(buf); 113221b1638SMasahiro Yamada buf += 16; 114221b1638SMasahiro Yamada } 115221b1638SMasahiro Yamada while (len--) { 116221b1638SMasahiro Yamada adler += *buf++; 117221b1638SMasahiro Yamada sum2 += adler; 118221b1638SMasahiro Yamada } 119221b1638SMasahiro Yamada MOD(adler); 120221b1638SMasahiro Yamada MOD(sum2); 121221b1638SMasahiro Yamada } 122221b1638SMasahiro Yamada 123221b1638SMasahiro Yamada /* return recombined sums */ 124221b1638SMasahiro Yamada return adler | (sum2 << 16); 125221b1638SMasahiro Yamada } 126221b1638SMasahiro Yamada 127221b1638SMasahiro Yamada /* ========================================================================= */ 128*fd39217aSManish Pandey uLong ZEXPORT adler32(uLong adler, const Bytef *buf, uInt len) { 129221b1638SMasahiro Yamada return adler32_z(adler, buf, len); 130221b1638SMasahiro Yamada } 131221b1638SMasahiro Yamada 132221b1638SMasahiro Yamada /* ========================================================================= */ 133*fd39217aSManish Pandey local uLong adler32_combine_(uLong adler1, uLong adler2, z_off64_t len2) { 134221b1638SMasahiro Yamada unsigned long sum1; 135221b1638SMasahiro Yamada unsigned long sum2; 136221b1638SMasahiro Yamada unsigned rem; 137221b1638SMasahiro Yamada 138221b1638SMasahiro Yamada /* for negative len, return invalid adler32 as a clue for debugging */ 139221b1638SMasahiro Yamada if (len2 < 0) 140221b1638SMasahiro Yamada return 0xffffffffUL; 141221b1638SMasahiro Yamada 142221b1638SMasahiro Yamada /* the derivation of this formula is left as an exercise for the reader */ 143221b1638SMasahiro Yamada MOD63(len2); /* assumes len2 >= 0 */ 144221b1638SMasahiro Yamada rem = (unsigned)len2; 145221b1638SMasahiro Yamada sum1 = adler1 & 0xffff; 146221b1638SMasahiro Yamada sum2 = rem * sum1; 147221b1638SMasahiro Yamada MOD(sum2); 148221b1638SMasahiro Yamada sum1 += (adler2 & 0xffff) + BASE - 1; 149221b1638SMasahiro Yamada sum2 += ((adler1 >> 16) & 0xffff) + ((adler2 >> 16) & 0xffff) + BASE - rem; 150221b1638SMasahiro Yamada if (sum1 >= BASE) sum1 -= BASE; 151221b1638SMasahiro Yamada if (sum1 >= BASE) sum1 -= BASE; 152221b1638SMasahiro Yamada if (sum2 >= ((unsigned long)BASE << 1)) sum2 -= ((unsigned long)BASE << 1); 153221b1638SMasahiro Yamada if (sum2 >= BASE) sum2 -= BASE; 154221b1638SMasahiro Yamada return sum1 | (sum2 << 16); 155221b1638SMasahiro Yamada } 156221b1638SMasahiro Yamada 157221b1638SMasahiro Yamada /* ========================================================================= */ 158*fd39217aSManish Pandey uLong ZEXPORT adler32_combine(uLong adler1, uLong adler2, z_off_t len2) { 159221b1638SMasahiro Yamada return adler32_combine_(adler1, adler2, len2); 160221b1638SMasahiro Yamada } 161221b1638SMasahiro Yamada 162*fd39217aSManish Pandey uLong ZEXPORT adler32_combine64(uLong adler1, uLong adler2, z_off64_t len2) { 163221b1638SMasahiro Yamada return adler32_combine_(adler1, adler2, len2); 164221b1638SMasahiro Yamada } 165