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			385 lines
		
	
	
		
			14 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
			
		
		
	
	
			385 lines
		
	
	
		
			14 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
/*
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 *-------------------------------------------------------------------------------
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 *
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 * This file is part of the WSPR application, Weak Signal Propagation Reporter
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 *
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 * File Name:   nhash.c
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 * Description: Functions to produce 32-bit hashes for hash table lookup
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 *
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 * Copyright (C) 2008-2014 Joseph Taylor, K1JT
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 * License: GPL-3
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 *
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 * This program is free software; you can redistribute it and/or modify it under
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 * the terms of the GNU General Public License as published by the Free Software
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 * Foundation; either version 3 of the License, or (at your option) any later
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 * version.
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 *
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 * This program is distributed in the hope that it will be useful, but WITHOUT
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 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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 * FOR A PARTICULAR PURPOSE.  See the GNU General Public License for more
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 * details.
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 *
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 * You should have received a copy of the GNU General Public License along with
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 * this program; if not, write to the Free Software Foundation, Inc., 51 Franklin
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 * Street, Fifth Floor, Boston, MA 02110-1301, USA.
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 *
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 * Files: lookup3.c
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 * Copyright: Copyright (C) 2006 Bob Jenkins <bob_jenkins@burtleburtle.net>
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 * License: public-domain
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 *  You may use this code any way you wish, private, educational, or commercial.
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 *  It's free.
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 *
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 *-------------------------------------------------------------------------------
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*/
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/*
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These are functions for producing 32-bit hashes for hash table lookup.
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hashword(), hashlittle(), hashlittle2(), hashbig(), mix(), and final() 
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are externally useful functions.  Routines to test the hash are included 
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if SELF_TEST is defined.  You can use this free for any purpose.  It's in
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the public domain.  It has no warranty.
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You probably want to use hashlittle().  hashlittle() and hashbig()
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hash byte arrays.  hashlittle() is is faster than hashbig() on
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little-endian machines.  Intel and AMD are little-endian machines.
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On second thought, you probably want hashlittle2(), which is identical to
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hashlittle() except it returns two 32-bit hashes for the price of one.  
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You could implement hashbig2() if you wanted but I haven't bothered here.
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If you want to find a hash of, say, exactly 7 integers, do
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  a = i1;  b = i2;  c = i3;
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  mix(a,b,c);
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  a += i4; b += i5; c += i6;
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  mix(a,b,c);
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  a += i7;
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  final(a,b,c);
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then use c as the hash value.  If you have a variable length array of
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4-byte integers to hash, use hashword().  If you have a byte array (like
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a character string), use hashlittle().  If you have several byte arrays, or
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a mix of things, see the comments above hashlittle().  
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Why is this so big?  I read 12 bytes at a time into 3 4-byte integers, 
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then mix those integers.  This is fast (you can do a lot more thorough
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mixing with 12*3 instructions on 3 integers than you can with 3 instructions
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on 1 byte), but shoehorning those bytes into integers efficiently is messy.
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*/
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#define SELF_TEST 1
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#include <stdio.h>      /* defines printf for tests */
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#include <time.h>       /* defines time_t for timings in the test */
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#ifdef Win32
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#include "win_stdint.h"	/* defines uint32_t etc */
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#else
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#include <stdint.h>	/* defines uint32_t etc */
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#endif
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//#include <sys/param.h>  /* attempt to define endianness */
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//#ifdef linux
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//# include <endian.h>    /* attempt to define endianness */
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//#endif
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#define HASH_LITTLE_ENDIAN 1
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#define hashsize(n) ((uint32_t)1<<(n))
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#define hashmask(n) (hashsize(n)-1)
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#define rot(x,k) (((x)<<(k)) | ((x)>>(32-(k))))
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/*
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-------------------------------------------------------------------------------
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mix -- mix 3 32-bit values reversibly.
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This is reversible, so any information in (a,b,c) before mix() is
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still in (a,b,c) after mix().
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If four pairs of (a,b,c) inputs are run through mix(), or through
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mix() in reverse, there are at least 32 bits of the output that
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are sometimes the same for one pair and different for another pair.
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This was tested for:
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* pairs that differed by one bit, by two bits, in any combination
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  of top bits of (a,b,c), or in any combination of bottom bits of
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  (a,b,c).
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* "differ" is defined as +, -, ^, or ~^.  For + and -, I transformed
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  the output delta to a Gray code (a^(a>>1)) so a string of 1's (as
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  is commonly produced by subtraction) look like a single 1-bit
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  difference.
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* the base values were pseudorandom, all zero but one bit set, or 
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  all zero plus a counter that starts at zero.
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Some k values for my "a-=c; a^=rot(c,k); c+=b;" arrangement that
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satisfy this are
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    4  6  8 16 19  4
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    9 15  3 18 27 15
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   14  9  3  7 17  3
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Well, "9 15 3 18 27 15" didn't quite get 32 bits diffing
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for "differ" defined as + with a one-bit base and a two-bit delta.  I
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used http://burtleburtle.net/bob/hash/avalanche.html to choose 
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the operations, constants, and arrangements of the variables.
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This does not achieve avalanche.  There are input bits of (a,b,c)
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that fail to affect some output bits of (a,b,c), especially of a.  The
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most thoroughly mixed value is c, but it doesn't really even achieve
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avalanche in c.
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This allows some parallelism.  Read-after-writes are good at doubling
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the number of bits affected, so the goal of mixing pulls in the opposite
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direction as the goal of parallelism.  I did what I could.  Rotates
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seem to cost as much as shifts on every machine I could lay my hands
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on, and rotates are much kinder to the top and bottom bits, so I used
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rotates.
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-------------------------------------------------------------------------------
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*/
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#define mix(a,b,c) \
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{ \
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  a -= c;  a ^= rot(c, 4);  c += b; \
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  b -= a;  b ^= rot(a, 6);  a += c; \
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  c -= b;  c ^= rot(b, 8);  b += a; \
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  a -= c;  a ^= rot(c,16);  c += b; \
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  b -= a;  b ^= rot(a,19);  a += c; \
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  c -= b;  c ^= rot(b, 4);  b += a; \
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}
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/*
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-------------------------------------------------------------------------------
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final -- final mixing of 3 32-bit values (a,b,c) into c
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Pairs of (a,b,c) values differing in only a few bits will usually
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produce values of c that look totally different.  This was tested for
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* pairs that differed by one bit, by two bits, in any combination
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  of top bits of (a,b,c), or in any combination of bottom bits of
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  (a,b,c).
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* "differ" is defined as +, -, ^, or ~^.  For + and -, I transformed
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  the output delta to a Gray code (a^(a>>1)) so a string of 1's (as
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  is commonly produced by subtraction) look like a single 1-bit
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  difference.
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* the base values were pseudorandom, all zero but one bit set, or 
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  all zero plus a counter that starts at zero.
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These constants passed:
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 14 11 25 16 4 14 24
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 12 14 25 16 4 14 24
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and these came close:
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  4  8 15 26 3 22 24
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 10  8 15 26 3 22 24
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 11  8 15 26 3 22 24
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-------------------------------------------------------------------------------
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*/
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#define final(a,b,c) \
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{ \
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  c ^= b; c -= rot(b,14); \
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  a ^= c; a -= rot(c,11); \
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  b ^= a; b -= rot(a,25); \
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  c ^= b; c -= rot(b,16); \
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  a ^= c; a -= rot(c,4);  \
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  b ^= a; b -= rot(a,14); \
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  c ^= b; c -= rot(b,24); \
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}
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/*
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-------------------------------------------------------------------------------
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hashlittle() -- hash a variable-length key into a 32-bit value
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  k       : the key (the unaligned variable-length array of bytes)
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  length  : the length of the key, counting by bytes
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  initval : can be any 4-byte value
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Returns a 32-bit value.  Every bit of the key affects every bit of
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the return value.  Two keys differing by one or two bits will have
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totally different hash values.
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The best hash table sizes are powers of 2.  There is no need to do
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mod a prime (mod is sooo slow!).  If you need less than 32 bits,
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use a bitmask.  For example, if you need only 10 bits, do
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  h = (h & hashmask(10));
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In which case, the hash table should have hashsize(10) elements.
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If you are hashing n strings (uint8_t **)k, do it like this:
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  for (i=0, h=0; i<n; ++i) h = hashlittle( k[i], len[i], h);
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By Bob Jenkins, 2006.  bob_jenkins@burtleburtle.net.  You may use this
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code any way you wish, private, educational, or commercial.  It's free.
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Use for hash table lookup, or anything where one collision in 2^^32 is
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acceptable.  Do NOT use for cryptographic purposes.
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-------------------------------------------------------------------------------
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*/
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//uint32_t hashlittle( const void *key, size_t length, uint32_t initval)
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#ifdef STDCALL
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uint32_t __stdcall NHASH( const void *key, size_t *length0, uint32_t *initval0)
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#else
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uint32_t nhash_( const void *key, int *length0, uint32_t *initval0)
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#endif
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{
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  uint32_t a,b,c;                                          /* internal state */
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  size_t length;
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  uint32_t initval;
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  union { const void *ptr; size_t i; } u;     /* needed for Mac Powerbook G4 */
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  length=*length0;
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  initval=*initval0;
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  /* Set up the internal state */
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  a = b = c = 0xdeadbeef + ((uint32_t)length) + initval;
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  u.ptr = key;
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  if (HASH_LITTLE_ENDIAN && ((u.i & 0x3) == 0)) {
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    const uint32_t *k = (const uint32_t *)key;         /* read 32-bit chunks */
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    const uint8_t  *k8;
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    k8=0;                                     //Silence compiler warning
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    /*------ all but last block: aligned reads and affect 32 bits of (a,b,c) */
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    while (length > 12)
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    {
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      a += k[0];
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      b += k[1];
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      c += k[2];
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      mix(a,b,c);
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      length -= 12;
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      k += 3;
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    }
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    /*----------------------------- handle the last (probably partial) block */
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    /* 
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     * "k[2]&0xffffff" actually reads beyond the end of the string, but
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     * then masks off the part it's not allowed to read.  Because the
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     * string is aligned, the masked-off tail is in the same word as the
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     * rest of the string.  Every machine with memory protection I've seen
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     * does it on word boundaries, so is OK with this.  But VALGRIND will
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     * still catch it and complain.  The masking trick does make the hash
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     * noticably faster for short strings (like English words).
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     */
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#ifndef VALGRIND
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    switch(length)
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    {
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    case 12: c+=k[2]; b+=k[1]; a+=k[0]; break;
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    case 11: c+=k[2]&0xffffff; b+=k[1]; a+=k[0]; break;
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    case 10: c+=k[2]&0xffff; b+=k[1]; a+=k[0]; break;
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    case 9 : c+=k[2]&0xff; b+=k[1]; a+=k[0]; break;
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    case 8 : b+=k[1]; a+=k[0]; break;
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    case 7 : b+=k[1]&0xffffff; a+=k[0]; break;
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    case 6 : b+=k[1]&0xffff; a+=k[0]; break;
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    case 5 : b+=k[1]&0xff; a+=k[0]; break;
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    case 4 : a+=k[0]; break;
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    case 3 : a+=k[0]&0xffffff; break;
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    case 2 : a+=k[0]&0xffff; break;
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    case 1 : a+=k[0]&0xff; break;
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    case 0 : return c;              /* zero length strings require no mixing */
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    }
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#else /* make valgrind happy */
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    k8 = (const uint8_t *)k;
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    switch(length)
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    {
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    case 12: c+=k[2]; b+=k[1]; a+=k[0]; break;
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    case 11: c+=((uint32_t)k8[10])<<16;  /* fall through */
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    case 10: c+=((uint32_t)k8[9])<<8;    /* fall through */
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    case 9 : c+=k8[8];                   /* fall through */
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    case 8 : b+=k[1]; a+=k[0]; break;
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    case 7 : b+=((uint32_t)k8[6])<<16;   /* fall through */
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    case 6 : b+=((uint32_t)k8[5])<<8;    /* fall through */
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    case 5 : b+=k8[4];                   /* fall through */
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    case 4 : a+=k[0]; break;
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    case 3 : a+=((uint32_t)k8[2])<<16;   /* fall through */
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    case 2 : a+=((uint32_t)k8[1])<<8;    /* fall through */
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    case 1 : a+=k8[0]; break;
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    case 0 : return c;
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    }
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#endif /* !valgrind */
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  } else if (HASH_LITTLE_ENDIAN && ((u.i & 0x1) == 0)) {
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    const uint16_t *k = (const uint16_t *)key;         /* read 16-bit chunks */
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    const uint8_t  *k8;
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    /*--------------- all but last block: aligned reads and different mixing */
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    while (length > 12)
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    {
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      a += k[0] + (((uint32_t)k[1])<<16);
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      b += k[2] + (((uint32_t)k[3])<<16);
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      c += k[4] + (((uint32_t)k[5])<<16);
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      mix(a,b,c);
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      length -= 12;
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      k += 6;
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    }
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    /*----------------------------- handle the last (probably partial) block */
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    k8 = (const uint8_t *)k;
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    switch(length)
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    {
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    case 12: c+=k[4]+(((uint32_t)k[5])<<16);
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             b+=k[2]+(((uint32_t)k[3])<<16);
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             a+=k[0]+(((uint32_t)k[1])<<16);
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             break;
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    case 11: c+=((uint32_t)k8[10])<<16;     /* fall through */
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    case 10: c+=k[4];
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             b+=k[2]+(((uint32_t)k[3])<<16);
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             a+=k[0]+(((uint32_t)k[1])<<16);
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             break;
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    case 9 : c+=k8[8];                      /* fall through */
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    case 8 : b+=k[2]+(((uint32_t)k[3])<<16);
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             a+=k[0]+(((uint32_t)k[1])<<16);
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             break;
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    case 7 : b+=((uint32_t)k8[6])<<16;      /* fall through */
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    case 6 : b+=k[2];
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             a+=k[0]+(((uint32_t)k[1])<<16);
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             break;
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    case 5 : b+=k8[4];                      /* fall through */
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    case 4 : a+=k[0]+(((uint32_t)k[1])<<16);
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             break;
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    case 3 : a+=((uint32_t)k8[2])<<16;      /* fall through */
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    case 2 : a+=k[0];
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             break;
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    case 1 : a+=k8[0];
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             break;
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    case 0 : return c;                     /* zero length requires no mixing */
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    }
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  } else {                        /* need to read the key one byte at a time */
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    const uint8_t *k = (const uint8_t *)key;
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 | 
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    /*--------------- all but the last block: affect some 32 bits of (a,b,c) */
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    while (length > 12)
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    {
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      a += k[0];
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      a += ((uint32_t)k[1])<<8;
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      a += ((uint32_t)k[2])<<16;
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      a += ((uint32_t)k[3])<<24;
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      b += k[4];
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      b += ((uint32_t)k[5])<<8;
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      b += ((uint32_t)k[6])<<16;
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      b += ((uint32_t)k[7])<<24;
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      c += k[8];
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      c += ((uint32_t)k[9])<<8;
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      c += ((uint32_t)k[10])<<16;
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      c += ((uint32_t)k[11])<<24;
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      mix(a,b,c);
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      length -= 12;
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      k += 12;
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    }
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 | 
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    /*-------------------------------- last block: affect all 32 bits of (c) */
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    switch(length)                   /* all the case statements fall through */
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    {
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    case 12: c+=((uint32_t)k[11])<<24; /* fall through */
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    case 11: c+=((uint32_t)k[10])<<16; /* fall through */
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    case 10: c+=((uint32_t)k[9])<<8;   /* fall through */
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    case 9 : c+=k[8];                  /* fall through */
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    case 8 : b+=((uint32_t)k[7])<<24;  /* fall through */
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    case 7 : b+=((uint32_t)k[6])<<16;  /* fall through */
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    case 6 : b+=((uint32_t)k[5])<<8;   /* fall through */
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    case 5 : b+=k[4];                  /* fall through */
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    case 4 : a+=((uint32_t)k[3])<<24;  /* fall through */
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    case 3 : a+=((uint32_t)k[2])<<16;  /* fall through */
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    case 2 : a+=((uint32_t)k[1])<<8;   /* fall through */
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    case 1 : a+=k[0];
 | 
						|
             break;
 | 
						|
    case 0 : return c;
 | 
						|
    }
 | 
						|
  }
 | 
						|
 | 
						|
  final(a,b,c);
 | 
						|
  return c;
 | 
						|
}
 | 
						|
 | 
						|
//uint32_t __stdcall NHASH(const void *key, size_t length, uint32_t initval)
 |