199767f8919635c4928607450d9e0abb932109ceToomas Soome/* adler32.c -- compute the Adler-32 checksum of a data stream
199767f8919635c4928607450d9e0abb932109ceToomas Soome * Copyright (C) 1995-2011 Mark Adler
199767f8919635c4928607450d9e0abb932109ceToomas Soome * For conditions of distribution and use, see copyright notice in zlib.h
199767f8919635c4928607450d9e0abb932109ceToomas Soome */
199767f8919635c4928607450d9e0abb932109ceToomas Soome
199767f8919635c4928607450d9e0abb932109ceToomas Soome/* @(#) $Id$ */
199767f8919635c4928607450d9e0abb932109ceToomas Soome
199767f8919635c4928607450d9e0abb932109ceToomas Soome#include "zutil.h"
199767f8919635c4928607450d9e0abb932109ceToomas Soome
199767f8919635c4928607450d9e0abb932109ceToomas Soome#define local static
199767f8919635c4928607450d9e0abb932109ceToomas Soome
199767f8919635c4928607450d9e0abb932109ceToomas Soomelocal uLong adler32_combine_ OF((uLong adler1, uLong adler2, z_off64_t len2));
199767f8919635c4928607450d9e0abb932109ceToomas Soome
199767f8919635c4928607450d9e0abb932109ceToomas Soome#define BASE 65521 /* largest prime smaller than 65536 */
199767f8919635c4928607450d9e0abb932109ceToomas Soome#define NMAX 5552
199767f8919635c4928607450d9e0abb932109ceToomas Soome/* NMAX is the largest n such that 255n(n+1)/2 + (n+1)(BASE-1) <= 2^32-1 */
199767f8919635c4928607450d9e0abb932109ceToomas Soome
199767f8919635c4928607450d9e0abb932109ceToomas Soome#define DO1(buf,i) {adler += (buf)[i]; sum2 += adler;}
199767f8919635c4928607450d9e0abb932109ceToomas Soome#define DO2(buf,i) DO1(buf,i); DO1(buf,i+1);
199767f8919635c4928607450d9e0abb932109ceToomas Soome#define DO4(buf,i) DO2(buf,i); DO2(buf,i+2);
199767f8919635c4928607450d9e0abb932109ceToomas Soome#define DO8(buf,i) DO4(buf,i); DO4(buf,i+4);
199767f8919635c4928607450d9e0abb932109ceToomas Soome#define DO16(buf) DO8(buf,0); DO8(buf,8);
199767f8919635c4928607450d9e0abb932109ceToomas Soome
199767f8919635c4928607450d9e0abb932109ceToomas Soome/* use NO_DIVIDE if your processor does not do division in hardware --
199767f8919635c4928607450d9e0abb932109ceToomas Soome try it both ways to see which is faster */
199767f8919635c4928607450d9e0abb932109ceToomas Soome#ifdef NO_DIVIDE
199767f8919635c4928607450d9e0abb932109ceToomas Soome/* note that this assumes BASE is 65521, where 65536 % 65521 == 15
199767f8919635c4928607450d9e0abb932109ceToomas Soome (thank you to John Reiser for pointing this out) */
199767f8919635c4928607450d9e0abb932109ceToomas Soome# define CHOP(a) \
199767f8919635c4928607450d9e0abb932109ceToomas Soome do { \
199767f8919635c4928607450d9e0abb932109ceToomas Soome unsigned long tmp = a >> 16; \
199767f8919635c4928607450d9e0abb932109ceToomas Soome a &= 0xffffUL; \
199767f8919635c4928607450d9e0abb932109ceToomas Soome a += (tmp << 4) - tmp; \
199767f8919635c4928607450d9e0abb932109ceToomas Soome } while (0)
199767f8919635c4928607450d9e0abb932109ceToomas Soome# define MOD28(a) \
199767f8919635c4928607450d9e0abb932109ceToomas Soome do { \
199767f8919635c4928607450d9e0abb932109ceToomas Soome CHOP(a); \
199767f8919635c4928607450d9e0abb932109ceToomas Soome if (a >= BASE) a -= BASE; \
199767f8919635c4928607450d9e0abb932109ceToomas Soome } while (0)
199767f8919635c4928607450d9e0abb932109ceToomas Soome# define MOD(a) \
199767f8919635c4928607450d9e0abb932109ceToomas Soome do { \
199767f8919635c4928607450d9e0abb932109ceToomas Soome CHOP(a); \
199767f8919635c4928607450d9e0abb932109ceToomas Soome MOD28(a); \
199767f8919635c4928607450d9e0abb932109ceToomas Soome } while (0)
199767f8919635c4928607450d9e0abb932109ceToomas Soome# define MOD63(a) \
199767f8919635c4928607450d9e0abb932109ceToomas Soome do { /* this assumes a is not negative */ \
199767f8919635c4928607450d9e0abb932109ceToomas Soome z_off64_t tmp = a >> 32; \
199767f8919635c4928607450d9e0abb932109ceToomas Soome a &= 0xffffffffL; \
199767f8919635c4928607450d9e0abb932109ceToomas Soome a += (tmp << 8) - (tmp << 5) + tmp; \
199767f8919635c4928607450d9e0abb932109ceToomas Soome tmp = a >> 16; \
199767f8919635c4928607450d9e0abb932109ceToomas Soome a &= 0xffffL; \
199767f8919635c4928607450d9e0abb932109ceToomas Soome a += (tmp << 4) - tmp; \
199767f8919635c4928607450d9e0abb932109ceToomas Soome tmp = a >> 16; \
199767f8919635c4928607450d9e0abb932109ceToomas Soome a &= 0xffffL; \
199767f8919635c4928607450d9e0abb932109ceToomas Soome a += (tmp << 4) - tmp; \
199767f8919635c4928607450d9e0abb932109ceToomas Soome if (a >= BASE) a -= BASE; \
199767f8919635c4928607450d9e0abb932109ceToomas Soome } while (0)
199767f8919635c4928607450d9e0abb932109ceToomas Soome#else
199767f8919635c4928607450d9e0abb932109ceToomas Soome# define MOD(a) a %= BASE
199767f8919635c4928607450d9e0abb932109ceToomas Soome# define MOD28(a) a %= BASE
199767f8919635c4928607450d9e0abb932109ceToomas Soome# define MOD63(a) a %= BASE
199767f8919635c4928607450d9e0abb932109ceToomas Soome#endif
199767f8919635c4928607450d9e0abb932109ceToomas Soome
199767f8919635c4928607450d9e0abb932109ceToomas Soome/* ========================================================================= */
199767f8919635c4928607450d9e0abb932109ceToomas SoomeuLong ZEXPORT adler32(adler, buf, len)
199767f8919635c4928607450d9e0abb932109ceToomas Soome uLong adler;
199767f8919635c4928607450d9e0abb932109ceToomas Soome const Bytef *buf;
199767f8919635c4928607450d9e0abb932109ceToomas Soome uInt len;
199767f8919635c4928607450d9e0abb932109ceToomas Soome{
199767f8919635c4928607450d9e0abb932109ceToomas Soome unsigned long sum2;
199767f8919635c4928607450d9e0abb932109ceToomas Soome unsigned n;
199767f8919635c4928607450d9e0abb932109ceToomas Soome
199767f8919635c4928607450d9e0abb932109ceToomas Soome /* split Adler-32 into component sums */
199767f8919635c4928607450d9e0abb932109ceToomas Soome sum2 = (adler >> 16) & 0xffff;
199767f8919635c4928607450d9e0abb932109ceToomas Soome adler &= 0xffff;
199767f8919635c4928607450d9e0abb932109ceToomas Soome
199767f8919635c4928607450d9e0abb932109ceToomas Soome /* in case user likes doing a byte at a time, keep it fast */
199767f8919635c4928607450d9e0abb932109ceToomas Soome if (len == 1) {
199767f8919635c4928607450d9e0abb932109ceToomas Soome adler += buf[0];
199767f8919635c4928607450d9e0abb932109ceToomas Soome if (adler >= BASE)
199767f8919635c4928607450d9e0abb932109ceToomas Soome adler -= BASE;
199767f8919635c4928607450d9e0abb932109ceToomas Soome sum2 += adler;
199767f8919635c4928607450d9e0abb932109ceToomas Soome if (sum2 >= BASE)
199767f8919635c4928607450d9e0abb932109ceToomas Soome sum2 -= BASE;
199767f8919635c4928607450d9e0abb932109ceToomas Soome return adler | (sum2 << 16);
199767f8919635c4928607450d9e0abb932109ceToomas Soome }
199767f8919635c4928607450d9e0abb932109ceToomas Soome
199767f8919635c4928607450d9e0abb932109ceToomas Soome /* initial Adler-32 value (deferred check for len == 1 speed) */
199767f8919635c4928607450d9e0abb932109ceToomas Soome if (buf == Z_NULL)
199767f8919635c4928607450d9e0abb932109ceToomas Soome return 1L;
199767f8919635c4928607450d9e0abb932109ceToomas Soome
199767f8919635c4928607450d9e0abb932109ceToomas Soome /* in case short lengths are provided, keep it somewhat fast */
199767f8919635c4928607450d9e0abb932109ceToomas Soome if (len < 16) {
199767f8919635c4928607450d9e0abb932109ceToomas Soome while (len--) {
199767f8919635c4928607450d9e0abb932109ceToomas Soome adler += *buf++;
199767f8919635c4928607450d9e0abb932109ceToomas Soome sum2 += adler;
199767f8919635c4928607450d9e0abb932109ceToomas Soome }
199767f8919635c4928607450d9e0abb932109ceToomas Soome if (adler >= BASE)
199767f8919635c4928607450d9e0abb932109ceToomas Soome adler -= BASE;
199767f8919635c4928607450d9e0abb932109ceToomas Soome MOD28(sum2); /* only added so many BASE's */
199767f8919635c4928607450d9e0abb932109ceToomas Soome return adler | (sum2 << 16);
199767f8919635c4928607450d9e0abb932109ceToomas Soome }
199767f8919635c4928607450d9e0abb932109ceToomas Soome
199767f8919635c4928607450d9e0abb932109ceToomas Soome /* do length NMAX blocks -- requires just one modulo operation */
199767f8919635c4928607450d9e0abb932109ceToomas Soome while (len >= NMAX) {
199767f8919635c4928607450d9e0abb932109ceToomas Soome len -= NMAX;
199767f8919635c4928607450d9e0abb932109ceToomas Soome n = NMAX / 16; /* NMAX is divisible by 16 */
199767f8919635c4928607450d9e0abb932109ceToomas Soome do {
199767f8919635c4928607450d9e0abb932109ceToomas Soome DO16(buf); /* 16 sums unrolled */
199767f8919635c4928607450d9e0abb932109ceToomas Soome buf += 16;
199767f8919635c4928607450d9e0abb932109ceToomas Soome } while (--n);
199767f8919635c4928607450d9e0abb932109ceToomas Soome MOD(adler);
199767f8919635c4928607450d9e0abb932109ceToomas Soome MOD(sum2);
199767f8919635c4928607450d9e0abb932109ceToomas Soome }
199767f8919635c4928607450d9e0abb932109ceToomas Soome
199767f8919635c4928607450d9e0abb932109ceToomas Soome /* do remaining bytes (less than NMAX, still just one modulo) */
199767f8919635c4928607450d9e0abb932109ceToomas Soome if (len) { /* avoid modulos if none remaining */
199767f8919635c4928607450d9e0abb932109ceToomas Soome while (len >= 16) {
199767f8919635c4928607450d9e0abb932109ceToomas Soome len -= 16;
199767f8919635c4928607450d9e0abb932109ceToomas Soome DO16(buf);
199767f8919635c4928607450d9e0abb932109ceToomas Soome buf += 16;
199767f8919635c4928607450d9e0abb932109ceToomas Soome }
199767f8919635c4928607450d9e0abb932109ceToomas Soome while (len--) {
199767f8919635c4928607450d9e0abb932109ceToomas Soome adler += *buf++;
199767f8919635c4928607450d9e0abb932109ceToomas Soome sum2 += adler;
199767f8919635c4928607450d9e0abb932109ceToomas Soome }
199767f8919635c4928607450d9e0abb932109ceToomas Soome MOD(adler);
199767f8919635c4928607450d9e0abb932109ceToomas Soome MOD(sum2);
199767f8919635c4928607450d9e0abb932109ceToomas Soome }
199767f8919635c4928607450d9e0abb932109ceToomas Soome
199767f8919635c4928607450d9e0abb932109ceToomas Soome /* return recombined sums */
199767f8919635c4928607450d9e0abb932109ceToomas Soome return adler | (sum2 << 16);
199767f8919635c4928607450d9e0abb932109ceToomas Soome}
199767f8919635c4928607450d9e0abb932109ceToomas Soome
199767f8919635c4928607450d9e0abb932109ceToomas Soome/* ========================================================================= */
199767f8919635c4928607450d9e0abb932109ceToomas Soomelocal uLong adler32_combine_(adler1, adler2, len2)
199767f8919635c4928607450d9e0abb932109ceToomas Soome uLong adler1;
199767f8919635c4928607450d9e0abb932109ceToomas Soome uLong adler2;
199767f8919635c4928607450d9e0abb932109ceToomas Soome z_off64_t len2;
199767f8919635c4928607450d9e0abb932109ceToomas Soome{
199767f8919635c4928607450d9e0abb932109ceToomas Soome unsigned long sum1;
199767f8919635c4928607450d9e0abb932109ceToomas Soome unsigned long sum2;
199767f8919635c4928607450d9e0abb932109ceToomas Soome unsigned rem;
199767f8919635c4928607450d9e0abb932109ceToomas Soome
199767f8919635c4928607450d9e0abb932109ceToomas Soome /* for negative len, return invalid adler32 as a clue for debugging */
199767f8919635c4928607450d9e0abb932109ceToomas Soome if (len2 < 0)
199767f8919635c4928607450d9e0abb932109ceToomas Soome return 0xffffffffUL;
199767f8919635c4928607450d9e0abb932109ceToomas Soome
199767f8919635c4928607450d9e0abb932109ceToomas Soome /* the derivation of this formula is left as an exercise for the reader */
199767f8919635c4928607450d9e0abb932109ceToomas Soome MOD63(len2); /* assumes len2 >= 0 */
199767f8919635c4928607450d9e0abb932109ceToomas Soome rem = (unsigned)len2;
199767f8919635c4928607450d9e0abb932109ceToomas Soome sum1 = adler1 & 0xffff;
199767f8919635c4928607450d9e0abb932109ceToomas Soome sum2 = rem * sum1;
199767f8919635c4928607450d9e0abb932109ceToomas Soome MOD(sum2);
199767f8919635c4928607450d9e0abb932109ceToomas Soome sum1 += (adler2 & 0xffff) + BASE - 1;
199767f8919635c4928607450d9e0abb932109ceToomas Soome sum2 += ((adler1 >> 16) & 0xffff) + ((adler2 >> 16) & 0xffff) + BASE - rem;
199767f8919635c4928607450d9e0abb932109ceToomas Soome if (sum1 >= BASE) sum1 -= BASE;
199767f8919635c4928607450d9e0abb932109ceToomas Soome if (sum1 >= BASE) sum1 -= BASE;
199767f8919635c4928607450d9e0abb932109ceToomas Soome if (sum2 >= (BASE << 1)) sum2 -= (BASE << 1);
199767f8919635c4928607450d9e0abb932109ceToomas Soome if (sum2 >= BASE) sum2 -= BASE;
199767f8919635c4928607450d9e0abb932109ceToomas Soome return sum1 | (sum2 << 16);
199767f8919635c4928607450d9e0abb932109ceToomas Soome}
199767f8919635c4928607450d9e0abb932109ceToomas Soome
199767f8919635c4928607450d9e0abb932109ceToomas Soome/* ========================================================================= */
199767f8919635c4928607450d9e0abb932109ceToomas SoomeuLong ZEXPORT adler32_combine(adler1, adler2, len2)
199767f8919635c4928607450d9e0abb932109ceToomas Soome uLong adler1;
199767f8919635c4928607450d9e0abb932109ceToomas Soome uLong adler2;
199767f8919635c4928607450d9e0abb932109ceToomas Soome z_off_t len2;
199767f8919635c4928607450d9e0abb932109ceToomas Soome{
199767f8919635c4928607450d9e0abb932109ceToomas Soome return adler32_combine_(adler1, adler2, len2);
199767f8919635c4928607450d9e0abb932109ceToomas Soome}
199767f8919635c4928607450d9e0abb932109ceToomas Soome
199767f8919635c4928607450d9e0abb932109ceToomas SoomeuLong ZEXPORT adler32_combine64(adler1, adler2, len2)
199767f8919635c4928607450d9e0abb932109ceToomas Soome uLong adler1;
199767f8919635c4928607450d9e0abb932109ceToomas Soome uLong adler2;
199767f8919635c4928607450d9e0abb932109ceToomas Soome z_off64_t len2;
199767f8919635c4928607450d9e0abb932109ceToomas Soome{
199767f8919635c4928607450d9e0abb932109ceToomas Soome return adler32_combine_(adler1, adler2, len2);
199767f8919635c4928607450d9e0abb932109ceToomas Soome}