1f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com//
2f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com// SpookyHash: a 128-bit noncryptographic hash function
3f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com// By Bob Jenkins, public domain
4f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com//   Oct 31 2010: alpha, framework + SpookyHash::Mix appears right
5f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com//   Oct 31 2011: alpha again, Mix only good to 2^^69 but rest appears right
6f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com//   Dec 31 2011: beta, improved Mix, tested it for 2-bit deltas
7f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com//   Feb  2 2012: production, same bits as beta
8f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com//   Feb  5 2012: adjusted definitions of uint* to be more portable
9f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com//
10f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com// Up to 4 bytes/cycle for long messages.  Reasonably fast for short messages.
11f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com// All 1 or 2 bit deltas achieve avalanche within 1% bias per output bit.
12f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com//
13f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com// This was developed for and tested on 64-bit x86-compatible processors.
14f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com// It assumes the processor is little-endian.  There is a macro
15f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com// controlling whether unaligned reads are allowed (by default they are).
16f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com// This should be an equally good hash on big-endian machines, but it will
17f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com// compute different results on them than on little-endian machines.
18f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com//
19f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com// Google's CityHash has similar specs to SpookyHash, and CityHash is faster
20f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com// on some platforms.  MD4 and MD5 also have similar specs, but they are orders
21f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com// of magnitude slower.  CRCs are two or more times slower, but unlike
22f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com// SpookyHash, they have nice math for combining the CRCs of pieces to form
23f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com// the CRCs of wholes.  There are also cryptographic hashes, but those are even
24f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com// slower than MD5.
25f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com//
26f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
27dd462f2c6817d4e09a6ecd99f35e3a04c342afb2tanjent@gmail.com#include "Platform.h"
28f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com#include <stddef.h>
29f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
30f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com#ifdef _MSC_VER
31f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com# define INLINE __forceinline
32f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com  typedef  unsigned __int64 uint64;
33f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com  typedef  unsigned __int32 uint32;
34f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com  typedef  unsigned __int16 uint16;
35f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com  typedef  unsigned __int8  uint8;
36f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com#else
37f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com# include <stdint.h>
38f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com# define INLINE inline
39f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com  typedef  uint64_t  uint64;
40f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com  typedef  uint32_t  uint32;
41f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com  typedef  uint16_t  uint16;
42f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com  typedef  uint8_t   uint8;
43f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com#endif
44f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
45f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
46f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.comclass SpookyHash
47f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com{
48f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.compublic:
49f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
50f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // SpookyHash: hash a single message in one call, produce 128-bit output
51f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
52f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    static void Hash128(
53f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        const void *message,  // message to hash
54f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        size_t length,        // length of message in bytes
55f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        uint64 *hash1,        // in/out: in seed 1, out hash value 1
56f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        uint64 *hash2);       // in/out: in seed 2, out hash value 2
57f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
58f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
59f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // Hash64: hash a single message in one call, return 64-bit output
60f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
61f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    static uint64 Hash64(
62f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        const void *message,  // message to hash
63f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        size_t length,        // length of message in bytes
64f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        uint64 seed)          // seed
65f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    {
66f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        uint64 hash1 = seed;
67f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        Hash128(message, length, &hash1, &seed);
68f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        return hash1;
69f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    }
70f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
71f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
72f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // Hash32: hash a single message in one call, produce 32-bit output
73f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
74f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    static uint32 Hash32(
75f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        const void *message,  // message to hash
76f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        size_t length,        // length of message in bytes
77f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        uint32 seed)          // seed
78f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    {
79f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        uint64 hash1 = seed, hash2 = seed;
80f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        Hash128(message, length, &hash1, &hash2);
81f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        return (uint32)hash1;
82f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    }
83f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
84f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
85f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // Init: initialize the context of a SpookyHash
86f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
87f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    void Init(
88f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        uint64 seed1,       // any 64-bit value will do, including 0
89f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        uint64 seed2);      // different seeds produce independent hashes
90f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
91f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
92f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // Update: add a piece of a message to a SpookyHash state
93f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
94f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    void Update(
95f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        const void *message,  // message fragment
96f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        size_t length);       // length of message fragment in bytes
97f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
98f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
99f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
100f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // Final: compute the hash for the current SpookyHash state
101f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
102f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // This does not modify the state; you can keep updating it afterward
103f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
104f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // The result is the same as if SpookyHash() had been called with
105f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // all the pieces concatenated into one message.
106f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
107f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    void Final(
108f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        uint64 *hash1,    // out only: first 64 bits of hash value.
109f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        uint64 *hash2);   // out only: second 64 bits of hash value.
110f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
111f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
112f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // left rotate a 64-bit value by k bytes
113f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
114f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    static INLINE uint64 Rot64(uint64 x, int k)
115f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    {
116f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        return (x << k) | (x >> (64 - k));
117f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    }
118f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
119f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
120f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // This is used if the input is 96 bytes long or longer.
121f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
122f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // The internal state is fully overwritten every 96 bytes.
123f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // Every input bit appears to cause at least 128 bits of entropy
124f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // before 96 other bytes are combined, when run forward or backward
125f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //   For every input bit,
126f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //   Two inputs differing in just that input bit
127f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //   Where "differ" means xor or subtraction
128f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //   And the base value is random
129f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //   When run forward or backwards one Mix
130f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // I tried 3 pairs of each; they all differed by at least 212 bits.
131f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
132f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    static INLINE void Mix(
133f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        const uint64 *data,
134f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        uint64 &s0, uint64 &s1, uint64 &s2, uint64 &s3,
135f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        uint64 &s4, uint64 &s5, uint64 &s6, uint64 &s7,
136f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        uint64 &s8, uint64 &s9, uint64 &s10,uint64 &s11)
137f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    {
138f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com      s0 += data[0];    s2 ^= s10;    s11 ^= s0;    s0 = Rot64(s0,11);    s11 += s1;
139f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com      s1 += data[1];    s3 ^= s11;    s0 ^= s1;    s1 = Rot64(s1,32);    s0 += s2;
140f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com      s2 += data[2];    s4 ^= s0;    s1 ^= s2;    s2 = Rot64(s2,43);    s1 += s3;
141f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com      s3 += data[3];    s5 ^= s1;    s2 ^= s3;    s3 = Rot64(s3,31);    s2 += s4;
142f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com      s4 += data[4];    s6 ^= s2;    s3 ^= s4;    s4 = Rot64(s4,17);    s3 += s5;
143f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com      s5 += data[5];    s7 ^= s3;    s4 ^= s5;    s5 = Rot64(s5,28);    s4 += s6;
144f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com      s6 += data[6];    s8 ^= s4;    s5 ^= s6;    s6 = Rot64(s6,39);    s5 += s7;
145f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com      s7 += data[7];    s9 ^= s5;    s6 ^= s7;    s7 = Rot64(s7,57);    s6 += s8;
146f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com      s8 += data[8];    s10 ^= s6;    s7 ^= s8;    s8 = Rot64(s8,55);    s7 += s9;
147f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com      s9 += data[9];    s11 ^= s7;    s8 ^= s9;    s9 = Rot64(s9,54);    s8 += s10;
148f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com      s10 += data[10];    s0 ^= s8;    s9 ^= s10;    s10 = Rot64(s10,22);    s9 += s11;
149f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com      s11 += data[11];    s1 ^= s9;    s10 ^= s11;    s11 = Rot64(s11,46);    s10 += s0;
150f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    }
151f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
152f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
153f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // Mix all 12 inputs together so that h0, h1 are a hash of them all.
154f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
155f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // For two inputs differing in just the input bits
156f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // Where "differ" means xor or subtraction
157f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // And the base value is random, or a counting value starting at that bit
158f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // The final result will have each bit of h0, h1 flip
159f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // For every input bit,
160f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // with probability 50 +- .3%
161f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // For every pair of input bits,
162f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // with probability 50 +- 3%
163f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
164f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // This does not rely on the last Mix() call having already mixed some.
165f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // Two iterations was almost good enough for a 64-bit result, but a
166f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // 128-bit result is reported, so End() does three iterations.
167f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
168f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    static INLINE void EndPartial(
169f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        uint64 &h0, uint64 &h1, uint64 &h2, uint64 &h3,
170f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        uint64 &h4, uint64 &h5, uint64 &h6, uint64 &h7,
171f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        uint64 &h8, uint64 &h9, uint64 &h10,uint64 &h11)
172f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    {
173f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h11+= h1;    h2 ^= h11;   h1 = Rot64(h1,44);
174f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com	h0 += h2;    h3 ^= h0;    h2 = Rot64(h2,15);
175f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com	h1 += h3;    h4 ^= h1;    h3 = Rot64(h3,34);
176f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com	h2 += h4;    h5 ^= h2;    h4 = Rot64(h4,21);
177f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com	h3 += h5;    h6 ^= h3;    h5 = Rot64(h5,38);
178f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com	h4 += h6;    h7 ^= h4;    h6 = Rot64(h6,33);
179f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com	h5 += h7;    h8 ^= h5;    h7 = Rot64(h7,10);
180f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com	h6 += h8;    h9 ^= h6;    h8 = Rot64(h8,13);
181f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com	h7 += h9;    h10^= h7;    h9 = Rot64(h9,38);
182f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com	h8 += h10;   h11^= h8;    h10= Rot64(h10,53);
183f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com	h9 += h11;   h0 ^= h9;    h11= Rot64(h11,42);
184f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com	h10+= h0;    h1 ^= h10;   h0 = Rot64(h0,54);
185f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    }
186f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
187f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    static INLINE void End(
188f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        uint64 &h0, uint64 &h1, uint64 &h2, uint64 &h3,
189f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        uint64 &h4, uint64 &h5, uint64 &h6, uint64 &h7,
190f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        uint64 &h8, uint64 &h9, uint64 &h10,uint64 &h11)
191f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    {
192f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        EndPartial(h0,h1,h2,h3,h4,h5,h6,h7,h8,h9,h10,h11);
193f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        EndPartial(h0,h1,h2,h3,h4,h5,h6,h7,h8,h9,h10,h11);
194f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        EndPartial(h0,h1,h2,h3,h4,h5,h6,h7,h8,h9,h10,h11);
195f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    }
196f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
197f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
198f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // The goal is for each bit of the input to expand into 128 bits of
199f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //   apparent entropy before it is fully overwritten.
200f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // n trials both set and cleared at least m bits of h0 h1 h2 h3
201f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //   n: 2   m: 29
202f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //   n: 3   m: 46
203f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //   n: 4   m: 57
204f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //   n: 5   m: 107
205f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //   n: 6   m: 146
206f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //   n: 7   m: 152
207f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // when run forwards or backwards
208f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // for all 1-bit and 2-bit diffs
209f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // with diffs defined by either xor or subtraction
210f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // with a base of all zeros plus a counter, or plus another bit, or random
211f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
212f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    static INLINE void ShortMix(uint64 &h0, uint64 &h1, uint64 &h2, uint64 &h3)
213f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    {
214f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h2 = Rot64(h2,50);  h2 += h3;  h0 ^= h2;
215f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h3 = Rot64(h3,52);  h3 += h0;  h1 ^= h3;
216f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h0 = Rot64(h0,30);  h0 += h1;  h2 ^= h0;
217f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h1 = Rot64(h1,41);  h1 += h2;  h3 ^= h1;
218f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h2 = Rot64(h2,54);  h2 += h3;  h0 ^= h2;
219f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h3 = Rot64(h3,48);  h3 += h0;  h1 ^= h3;
220f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h0 = Rot64(h0,38);  h0 += h1;  h2 ^= h0;
221f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h1 = Rot64(h1,37);  h1 += h2;  h3 ^= h1;
222f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h2 = Rot64(h2,62);  h2 += h3;  h0 ^= h2;
223f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h3 = Rot64(h3,34);  h3 += h0;  h1 ^= h3;
224f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h0 = Rot64(h0,5);   h0 += h1;  h2 ^= h0;
225f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h1 = Rot64(h1,36);  h1 += h2;  h3 ^= h1;
226f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    }
227f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
228f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
229f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // Mix all 4 inputs together so that h0, h1 are a hash of them all.
230f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
231f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // For two inputs differing in just the input bits
232f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // Where "differ" means xor or subtraction
233f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // And the base value is random, or a counting value starting at that bit
234f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // The final result will have each bit of h0, h1 flip
235f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // For every input bit,
236f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // with probability 50 +- .3% (it is probably better than that)
237f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // For every pair of input bits,
238f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // with probability 50 +- .75% (the worst case is approximately that)
239f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
240f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    static INLINE void ShortEnd(uint64 &h0, uint64 &h1, uint64 &h2, uint64 &h3)
241f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    {
242f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h3 ^= h2;  h2 = Rot64(h2,15);  h3 += h2;
243f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h0 ^= h3;  h3 = Rot64(h3,52);  h0 += h3;
244f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h1 ^= h0;  h0 = Rot64(h0,26);  h1 += h0;
245f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h2 ^= h1;  h1 = Rot64(h1,51);  h2 += h1;
246f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h3 ^= h2;  h2 = Rot64(h2,28);  h3 += h2;
247f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h0 ^= h3;  h3 = Rot64(h3,9);   h0 += h3;
248f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h1 ^= h0;  h0 = Rot64(h0,47);  h1 += h0;
249f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h2 ^= h1;  h1 = Rot64(h1,54);  h2 += h1;
250f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h3 ^= h2;  h2 = Rot64(h2,32);  h3 += h2;
251f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h0 ^= h3;  h3 = Rot64(h3,25);  h0 += h3;
252f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        h1 ^= h0;  h0 = Rot64(h0,63);  h1 += h0;
253f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    }
254f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
255f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.comprivate:
256f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
257f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
258f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // Short is used for messages under 192 bytes in length
259f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // Short has a low startup cost, the normal mode is good for long
260f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // keys, the cost crossover is at about 192 bytes.  The two modes were
261f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // held to the same quality bar.
262f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
263f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    static void Short(
264f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        const void *message,
265f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        size_t length,
266f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        uint64 *hash1,
267f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com        uint64 *hash2);
268f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
269f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // number of uint64's in internal state
270f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    static const size_t sc_numVars = 12;
271f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
272f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // size of the internal state
273f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    static const size_t sc_blockSize = sc_numVars*8;
274f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
275f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // size of buffer of unhashed data, in bytes
276f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    static const size_t sc_bufSize = 2*sc_blockSize;
277f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
278f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
279f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    // sc_const: a constant which:
280f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //  * is not zero
281f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //  * is odd
282f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //  * is a not-very-regular mix of 1's and 0's
283f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //  * does not need any other special mathematical properties
284f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    //
285dd462f2c6817d4e09a6ecd99f35e3a04c342afb2tanjent@gmail.com    static const uint64 sc_const = 0xdeadbeefdeadbeefULL;
286f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
287f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    uint64 m_data[2*sc_numVars];   // unhashed data, for partial messages
288f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    uint64 m_state[sc_numVars];  // internal state of the hash
289f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    size_t m_length;             // total length of the input so far
290f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com    uint8  m_remainder;          // length of unhashed data stashed in m_data
291f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com};
292f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
293f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
294f3b789787b93945c974e2cc517b7dc352b28354etanjent@gmail.com
295