The fast-hash is a simple, robust, and efficient general-purpose hash function.
Simple - ~30 lines of code.
Robust - Passes all tests of SMHasher(http://code.google.com/p/smhasher).
Efficient - Faster than Google MurmurHash2.
The fast-hash primarily computes 64-bit and 32-bit hash values. For 128-bit hash functions, I recommend Google MurmurHash3 and SpookyHash. However, they can be an overkill for 64-bit hashing applications.
- Apple iOS Kernel: https://opensource.apple.com/source/files/files-680.10.1/Library/Documentation/Acknowledgements.rtf, https://opensource.apple.com/source/xnu/xnu-3789.21.4/iokit/Kernel/IOKitDebug.cpp.
- Apache Giraph: https://giraph.apache.org/xref/org/apache/giraph/block_app/library/striping/StripingUtils.html.
- Apache Impala: https://github.com/apache/impala/blob/master/LICENSE.txt
- The GNU Hurd Unix Kernel. See https://github.com/joshumax/hurd/blob/master/libdiskfs/node-cache.c.
- libfabric: https://github.com/ofiwg/libfabric/blob/main/src/fasthash.c
- Learned Index Structures: An Evalution of their Performance in Key-Value Storage Solutions: https://wr.informatik.uni-hamburg.de/_media/research:theses:leonhard_reichenbach_learned_index_structures_an_evalution_of_their_performance_in_key_value_storage_solutions.pdf
- Google SMHasher. See https://github.com/rurban/smhasher/blob/master/fasthash.cpp.
- The Grand Tour Game: https://www.amazon.com/gp/help/customer/display.html?_encoding=UTF8&nodeId=GUNPF35EQCSJFJY6
- Considered one of the best general-purpose integer hash functions according to the paper "MELISSA E. O’NEILL, PCG: A Family of Simple Fast Space-Efficient Statistically Good Algorithms for Random Number Generation".
- Used in pmemkv, a local/embedded key-value datastore optimized for persistent memory: https://github.com/OrderLab/Arthas-eval-pmemkv/blob/master/src/fast_hash.h
- Used in ML research: "Xiatian Zhang, Wei Fan, Nan Du, Random Decision Hashing for Massive Data Learning, JMLR'15".
- ArangoDB - the multi-purpose NoSQL DB. https://fossies.org/linux/arangodb/LICENSES-OTHER-COMPONENTS.md, https://raw.githubusercontent.com/arangodb/arangodb/devel/lib/Basics/fasthash.cpp
- Fast incremental JSON parser - https://github.com/bjouhier/i-json/blob/master/src/fasthash.c.
- jelly-hash - Low memory multithreaded hash table. https://github.com/noporpoise/jelly-hash.
- probing - Linear probing hash tables in Go. https://github.com/kho/probing.
- mrkcommon - Markiyan's library of "commonly used" functions. https://github.com/mkushnir/mrkcommon.
First, interested readers can learn more about the math from the seminar paper: http://www.jstatsoft.org/v08/i14/paper.
##Mix Function
The mix function of the fast-hash consists of two Xorshifts and one multiplication:
#define mix_fasthash(h) ({ \
(h) ^= (h) >> 23; \
(h) *= 0x2127599bf4325c37ULL; \
(h) ^= (h) >> 47; })
Whereas MurmurHash2's mix function has two multiplications and one Xorshift:
#define mix_murmur2(h) ({ \
(h) *= 0xc6a4a7935bd1e995ULL; \
(h) ^= (h) >> 47; \
(h) *= 0xc6a4a7935bd1e995ULL; })
Generally, multiplication, which takes tens of CPU clocks, is much more expensive than Xorshift, which takes only several CPU clocks, on almost all platforms. Thus the fast-hash should be more efficient than MurmurHash2, especially when the size of input data grows. Furthermore, the mix function of Murmurhash2 is slightly flawed as it produces biased bits according to the SMHasher results.
To obtain hash values of other bit lengths than 32 or 64, the simplest way is to use bitwise AND to extract bits from the the 64-bit hash value calculated by the fast-hash. Another more robust technique suggested by Knuth in his masterpiece "The Art of Computer Programming Vol2" follows:
Let H be the 64-bit hash value. A 32-bit hash value can be computed using (H - (H >> 32)) & (2^32 - 1) . The basic idea is to have all bits in the 64-bit hash value effect on the resulting 32-bit hash value. This conversion is essentially the same as H % (2^32 + 1) . Note that
H = (H >> 32) * 2^32 + H & (2^32 - 1)
= (H >> 32) * (2^32 + 1) - (H >> 32) + H & (2^32 - 1)
The fast-hash was tested using the SMHasher(http://code.google.com/p/smhasher), which is known as the "DieHarder" hash testing. The test results show that the fast-hash is a better choice than Google MurmurHash2 (slightly biased and slower than the fast-hash), Jenkins hash function (moderately biased and notably slower than the fast-hash), and a few other popular ones such as Bernstein, CRC, SDBM, FNV, and etc.
-------------------------------------------------------------------------------
--- Testing Murmur2B (MurmurHash2 for x64, 64-bit)
[[[ Sanity Tests ]]]
Verification value 0x1F0D3804 : Passed!
Running sanity check 1..........PASS
Running sanity check 2..........PASS
[[[ Speed Tests ]]]
Bulk speed test - 262144-byte keys
Alignment 0 - 1.062 bytes/cycle - 3038.47 MiB/sec @ 3 ghz
Alignment 1 - 0.706 bytes/cycle - 2018.56 MiB/sec @ 3 ghz
Alignment 2 - 0.706 bytes/cycle - 2018.57 MiB/sec @ 3 ghz
Alignment 3 - 0.706 bytes/cycle - 2018.55 MiB/sec @ 3 ghz
Alignment 4 - 0.706 bytes/cycle - 2018.57 MiB/sec @ 3 ghz
Alignment 5 - 0.701 bytes/cycle - 2006.61 MiB/sec @ 3 ghz
Alignment 6 - 0.706 bytes/cycle - 2018.56 MiB/sec @ 3 ghz
Alignment 7 - 0.706 bytes/cycle - 2018.56 MiB/sec @ 3 ghz
Small key speed test - 1-byte keys - 78.47 cycles/hash
Small key speed test - 2-byte keys - 80.45 cycles/hash
Small key speed test - 3-byte keys - 82.76 cycles/hash
Small key speed test - 4-byte keys - 82.33 cycles/hash
Small key speed test - 5-byte keys - 85.25 cycles/hash
Small key speed test - 6-byte keys - 84.18 cycles/hash
Small key speed test - 7-byte keys - 85.24 cycles/hash
Small key speed test - 8-byte keys - 94.82 cycles/hash
Small key speed test - 9-byte keys - 101.57 cycles/hash
Small key speed test - 10-byte keys - 104.72 cycles/hash
Small key speed test - 11-byte keys - 96.00 cycles/hash
Small key speed test - 12-byte keys - 106.25 cycles/hash
Small key speed test - 13-byte keys - 106.04 cycles/hash
Small key speed test - 14-byte keys - 109.24 cycles/hash
Small key speed test - 15-byte keys - 108.11 cycles/hash
Small key speed test - 16-byte keys - 96.00 cycles/hash
Small key speed test - 17-byte keys - 108.04 cycles/hash
Small key speed test - 18-byte keys - 107.20 cycles/hash
Small key speed test - 19-byte keys - 114.08 cycles/hash
Small key speed test - 20-byte keys - 108.00 cycles/hash
Small key speed test - 21-byte keys - 116.67 cycles/hash
Small key speed test - 22-byte keys - 117.68 cycles/hash
Small key speed test - 23-byte keys - 119.27 cycles/hash
Small key speed test - 24-byte keys - 109.80 cycles/hash
Small key speed test - 25-byte keys - 120.00 cycles/hash
Small key speed test - 26-byte keys - 117.43 cycles/hash
Small key speed test - 27-byte keys - 122.90 cycles/hash
Small key speed test - 28-byte keys - 119.67 cycles/hash
Small key speed test - 29-byte keys - 122.65 cycles/hash
Small key speed test - 30-byte keys - 122.57 cycles/hash
Small key speed test - 31-byte keys - 123.35 cycles/hash
[[[ Differential Tests ]]]
Testing 8303632 up-to-5-bit differentials in 64-bit keys -> 64 bit hashes.
1000 reps, 8303632000 total tests, expecting 0.00 random collisions..........
0 total collisions, of which 0 single collisions were ignored
Testing 11017632 up-to-4-bit differentials in 128-bit keys -> 64 bit hashes.
1000 reps, 11017632000 total tests, expecting 0.00 random collisions..........
0 total collisions, of which 0 single collisions were ignored
Testing 2796416 up-to-3-bit differentials in 256-bit keys -> 64 bit hashes.
1000 reps, 2796416000 total tests, expecting 0.00 random collisions..........
0 total collisions, of which 0 single collisions were ignored
[[[ Avalanche Tests ]]]
Testing 32-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 9.372000% !!!!!
Testing 40-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 12.293333% !!!!!
Testing 48-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 12.561333% !!!!!
Testing 56-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 12.418000% !!!!!
Testing 64-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 0.734667%
Testing 72-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 0.724000%
Testing 80-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 0.702000%
Testing 88-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 0.826667%
Testing 96-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 9.629333% !!!!!
Testing 104-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 12.272667% !!!!!
Testing 112-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 12.328667% !!!!!
Testing 120-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 12.716667% !!!!!
Testing 128-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 0.724000%
Testing 136-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 0.682667%
Testing 144-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 0.719333%
Testing 152-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 1.038000% !!!!!
*********FAIL*********
[[[ Keyset 'Cyclic' Tests ]]]
Keyset 'Cyclic' - 8 cycles of 8 bytes - 10000000 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 54 - 0.033%
Keyset 'Cyclic' - 8 cycles of 9 bytes - 10000000 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 17 - 0.039%
Keyset 'Cyclic' - 8 cycles of 10 bytes - 10000000 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 39 - 0.032%
Keyset 'Cyclic' - 8 cycles of 11 bytes - 10000000 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 53 - 0.029%
Keyset 'Cyclic' - 8 cycles of 12 bytes - 10000000 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 19-bit window at bit 20 - 0.032%
[[[ Keyset 'TwoBytes' Tests ]]]
Keyset 'TwoBytes' - up-to-4-byte keys, 652545 total keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 16-bit window at bit 47 - 0.364%
Keyset 'TwoBytes' - up-to-8-byte keys, 5471025 total keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 35 - 0.205%
Keyset 'TwoBytes' - up-to-12-byte keys, 18616785 total keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 10 - 0.018%
Keyset 'TwoBytes' - up-to-16-byte keys, 44251425 total keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 58 - 0.006%
Keyset 'TwoBytes' - up-to-20-byte keys, 86536545 total keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 49 - 0.003%
[[[ Keyset 'Sparse' Tests ]]]
Keyset 'Sparse' - 32-bit keys with up to 6 bits set - 1149017 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 16-bit window at bit 4 - 0.101%
Keyset 'Sparse' - 40-bit keys with up to 6 bits set - 4598479 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 17-bit window at bit 39 - 0.075%
Keyset 'Sparse' - 48-bit keys with up to 5 bits set - 1925357 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 18-bit window at bit 39 - 0.115%
Keyset 'Sparse' - 56-bit keys with up to 5 bits set - 4216423 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 19-bit window at bit 37 - 0.124%
Keyset 'Sparse' - 64-bit keys with up to 5 bits set - 8303633 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 43 - 0.060%
Keyset 'Sparse' - 96-bit keys with up to 4 bits set - 3469497 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 19-bit window at bit 22 - 0.050%
Keyset 'Sparse' - 256-bit keys with up to 3 bits set - 2796417 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 19-bit window at bit 31 - 0.084%
Keyset 'Sparse' - 2048-bit keys with up to 2 bits set - 2098177 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 18-bit window at bit 23 - 0.090%
[[[ Keyset 'Combination Lowbits' Tests ]]]
Keyset 'Combination' - up to 8 blocks from a set of 8 - 19173960 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 16 - 0.018%
[[[ Keyset 'Combination Highbits' Tests ]]]
Keyset 'Combination' - up to 8 blocks from a set of 8 - 19173960 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 35 - 0.014%
[[[ Keyset 'Combination 0x8000000' Tests ]]]
Keyset 'Combination' - up to 20 blocks from a set of 2 - 2097150 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 18-bit window at bit 21 - 0.122%
[[[ Keyset 'Combination 0x0000001' Tests ]]]
Keyset 'Combination' - up to 20 blocks from a set of 2 - 2097150 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 18-bit window at bit 46 - 0.080%
[[[ Keyset 'Combination Hi-Lo' Tests ]]]
Keyset 'Combination' - up to 6 blocks from a set of 15 - 12204240 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 58 - 0.032%
[[[ Keyset 'Window' Tests ]]]
Keyset 'Windowed' - 128-bit key, 20-bit window - 128 tests, 1048576 keys per test
Window at 0 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 1 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 2 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 3 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 4 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 5 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 6 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 7 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 8 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 9 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 10 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 11 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 12 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 13 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 14 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 15 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 16 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 17 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 18 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 19 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 20 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 21 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 22 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 23 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 24 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 25 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 26 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 27 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 28 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 29 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 30 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 31 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 32 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 33 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 34 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 35 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 36 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 37 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 38 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 39 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 40 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 41 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 42 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 43 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 44 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 45 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 46 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 47 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 48 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 49 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 50 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 51 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 52 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 53 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 54 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 55 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 56 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 57 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 58 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 59 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 60 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 61 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 62 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 63 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 64 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 65 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 66 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 67 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 68 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 69 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 70 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 71 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 72 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 73 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 74 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 75 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 76 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 77 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 78 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 79 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 80 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 81 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 82 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 83 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 84 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 85 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 86 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 87 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 88 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 89 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 90 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 91 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 92 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 93 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 94 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 95 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 96 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 97 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 98 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 99 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 100 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 101 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 102 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 103 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 104 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 105 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 106 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 107 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 108 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 109 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 110 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 111 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 112 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 113 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 114 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 115 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 116 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 117 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 118 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 119 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 120 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 121 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 122 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 123 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 124 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 125 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 126 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 127 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 128 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
[[[ Keyset 'Text' Tests ]]]
Keyset 'Text' - keys of form "Foo[XXXX]Bar" - 14776336 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 24 - 0.022%
Keyset 'Text' - keys of form "FooBar[XXXX]" - 14776336 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 19-bit window at bit 32 - 0.018%
Keyset 'Text' - keys of form "[XXXX]FooBar" - 14776336 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 31 - 0.026%
[[[ Keyset 'Zeroes' Tests ]]]
Keyset 'Zeroes' - 65536 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 12-bit window at bit 32 - 0.459%
[[[ Keyset 'Seed' Tests ]]]
Keyset 'Seed' - 1000000 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 17-bit window at bit 42 - 0.079%
Input vcode 0x00000001, Output vcode 0x00000001, Result vcode 0x00000001
Verification value is 0x00000001 - Testing took 1718.040000 seconds
-------------------------------------------------------------------------------
-------------------------------------------------------------------------------
--- Testing FastHash64 (Ulib's FastHash for x86-64, 64-bit.)
[[[ Sanity Tests ]]]
Verification value 0xA16231A7 : Passed!
Running sanity check 1..........PASS
Running sanity check 2..........PASS
[[[ Speed Tests ]]]
Bulk speed test - 262144-byte keys
Alignment 0 - 1.067 bytes/cycle - 3053.60 MiB/sec @ 3 ghz
Alignment 1 - 0.745 bytes/cycle - 2130.87 MiB/sec @ 3 ghz
Alignment 2 - 0.745 bytes/cycle - 2130.87 MiB/sec @ 3 ghz
Alignment 3 - 0.745 bytes/cycle - 2130.87 MiB/sec @ 3 ghz
Alignment 4 - 0.745 bytes/cycle - 2130.87 MiB/sec @ 3 ghz
Alignment 5 - 0.745 bytes/cycle - 2130.87 MiB/sec @ 3 ghz
Alignment 6 - 0.745 bytes/cycle - 2130.87 MiB/sec @ 3 ghz
Alignment 7 - 0.745 bytes/cycle - 2130.87 MiB/sec @ 3 ghz
Small key speed test - 1-byte keys - 92.44 cycles/hash
Small key speed test - 2-byte keys - 95.69 cycles/hash
Small key speed test - 3-byte keys - 96.37 cycles/hash
Small key speed test - 4-byte keys - 100.21 cycles/hash
Small key speed test - 5-byte keys - 98.75 cycles/hash
Small key speed test - 6-byte keys - 95.60 cycles/hash
Small key speed test - 7-byte keys - 99.72 cycles/hash
Small key speed test - 8-byte keys - 92.48 cycles/hash
Small key speed test - 9-byte keys - 104.06 cycles/hash
Small key speed test - 10-byte keys - 102.76 cycles/hash
Small key speed test - 11-byte keys - 110.69 cycles/hash
Small key speed test - 12-byte keys - 108.76 cycles/hash
Small key speed test - 13-byte keys - 108.29 cycles/hash
Small key speed test - 14-byte keys - 109.68 cycles/hash
Small key speed test - 15-byte keys - 108.91 cycles/hash
Small key speed test - 16-byte keys - 99.21 cycles/hash
Small key speed test - 17-byte keys - 106.80 cycles/hash
Small key speed test - 18-byte keys - 107.25 cycles/hash
Small key speed test - 19-byte keys - 105.99 cycles/hash
Small key speed test - 20-byte keys - 110.71 cycles/hash
Small key speed test - 21-byte keys - 111.79 cycles/hash
Small key speed test - 22-byte keys - 112.35 cycles/hash
Small key speed test - 23-byte keys - 108.00 cycles/hash
Small key speed test - 24-byte keys - 108.76 cycles/hash
Small key speed test - 25-byte keys - 116.70 cycles/hash
Small key speed test - 26-byte keys - 117.00 cycles/hash
Small key speed test - 27-byte keys - 116.69 cycles/hash
Small key speed test - 28-byte keys - 118.11 cycles/hash
Small key speed test - 29-byte keys - 117.71 cycles/hash
Small key speed test - 30-byte keys - 123.67 cycles/hash
Small key speed test - 31-byte keys - 122.65 cycles/hash
[[[ Differential Tests ]]]
Testing 8303632 up-to-5-bit differentials in 64-bit keys -> 64 bit hashes.
1000 reps, 8303632000 total tests, expecting 0.00 random collisions..........
0 total collisions, of which 0 single collisions were ignored
Testing 11017632 up-to-4-bit differentials in 128-bit keys -> 64 bit hashes.
1000 reps, 11017632000 total tests, expecting 0.00 random collisions..........
0 total collisions, of which 0 single collisions were ignored
Testing 2796416 up-to-3-bit differentials in 256-bit keys -> 64 bit hashes.
1000 reps, 2796416000 total tests, expecting 0.00 random collisions..........
0 total collisions, of which 0 single collisions were ignored
[[[ Avalanche Tests ]]]
Testing 32-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 0.742667%
Testing 40-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 0.707333%
Testing 48-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 0.751333%
Testing 56-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 0.718000%
Testing 64-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 0.658000%
Testing 72-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 0.634667%
Testing 80-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 0.654667%
Testing 88-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 0.684667%
Testing 96-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 0.654667%
Testing 104-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 0.714667%
Testing 112-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 0.762667%
Testing 120-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 0.734667%
Testing 128-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 0.634000%
Testing 136-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 0.682000%
Testing 144-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 0.808000%
Testing 152-bit keys -> 64-bit hashes, 300000 reps.......... worst bias is 0.791333%
[[[ Keyset 'Cyclic' Tests ]]]
Keyset 'Cyclic' - 8 cycles of 8 bytes - 10000000 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 32 - 0.034%
Keyset 'Cyclic' - 8 cycles of 9 bytes - 10000000 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 49 - 0.033%
Keyset 'Cyclic' - 8 cycles of 10 bytes - 10000000 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 31 - 0.021%
Keyset 'Cyclic' - 8 cycles of 11 bytes - 10000000 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 31 - 0.024%
Keyset 'Cyclic' - 8 cycles of 12 bytes - 10000000 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 11 - 0.040%
[[[ Keyset 'TwoBytes' Tests ]]]
Keyset 'TwoBytes' - up-to-4-byte keys, 652545 total keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 16-bit window at bit 51 - 0.077%
Keyset 'TwoBytes' - up-to-8-byte keys, 5471025 total keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 49 - 0.044%
Keyset 'TwoBytes' - up-to-12-byte keys, 18616785 total keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 19-bit window at bit 54 - 0.020%
Keyset 'TwoBytes' - up-to-16-byte keys, 44251425 total keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 33 - 0.006%
Keyset 'TwoBytes' - up-to-20-byte keys, 86536545 total keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 29 - 0.003%
[[[ Keyset 'Sparse' Tests ]]]
Keyset 'Sparse' - 32-bit keys with up to 6 bits set - 1149017 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 17-bit window at bit 25 - 0.097%
Keyset 'Sparse' - 40-bit keys with up to 6 bits set - 4598479 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 19-bit window at bit 34 - 0.072%
Keyset 'Sparse' - 48-bit keys with up to 5 bits set - 1925357 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 18-bit window at bit 61 - 0.083%
Keyset 'Sparse' - 56-bit keys with up to 5 bits set - 4216423 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 19-bit window at bit 19 - 0.055%
Keyset 'Sparse' - 64-bit keys with up to 5 bits set - 8303633 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 16 - 0.044%
Keyset 'Sparse' - 96-bit keys with up to 4 bits set - 3469497 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 19-bit window at bit 62 - 0.069%
Keyset 'Sparse' - 256-bit keys with up to 3 bits set - 2796417 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 19-bit window at bit 50 - 0.070%
Keyset 'Sparse' - 2048-bit keys with up to 2 bits set - 2098177 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 18-bit window at bit 14 - 0.057%
[[[ Keyset 'Combination Lowbits' Tests ]]]
Keyset 'Combination' - up to 8 blocks from a set of 8 - 19173960 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 52 - 0.018%
[[[ Keyset 'Combination Highbits' Tests ]]]
Keyset 'Combination' - up to 8 blocks from a set of 8 - 19173960 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 3 - 0.014%
[[[ Keyset 'Combination 0x8000000' Tests ]]]
Keyset 'Combination' - up to 20 blocks from a set of 2 - 2097150 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 18-bit window at bit 51 - 0.078%
[[[ Keyset 'Combination 0x0000001' Tests ]]]
Keyset 'Combination' - up to 20 blocks from a set of 2 - 2097150 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 18-bit window at bit 49 - 0.115%
[[[ Keyset 'Combination Hi-Lo' Tests ]]]
Keyset 'Combination' - up to 6 blocks from a set of 15 - 12204240 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 7 - 0.030%
[[[ Keyset 'Window' Tests ]]]
Keyset 'Windowed' - 128-bit key, 20-bit window - 128 tests, 1048576 keys per test
Window at 0 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 1 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 2 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 3 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 4 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 5 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 6 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 7 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 8 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 9 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 10 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 11 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 12 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 13 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 14 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 15 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 16 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 17 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 18 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 19 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 20 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 21 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 22 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 23 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 24 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 25 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 26 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 27 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 28 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 29 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 30 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 31 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 32 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 33 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 34 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 35 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 36 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 37 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 38 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 39 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 40 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 41 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 42 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 43 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 44 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 45 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 46 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 47 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 48 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 49 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 50 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 51 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 52 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 53 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 54 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 55 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 56 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 57 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 58 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 59 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 60 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 61 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 62 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 63 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 64 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 65 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 66 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 67 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 68 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 69 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 70 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 71 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 72 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 73 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 74 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 75 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 76 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 77 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 78 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 79 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 80 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 81 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 82 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 83 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 84 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 85 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 86 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 87 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 88 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 89 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 90 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 91 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 92 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 93 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 94 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 95 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 96 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 97 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 98 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 99 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 100 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 101 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 102 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 103 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 104 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 105 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 106 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 107 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 108 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 109 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 110 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 111 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 112 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 113 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 114 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 115 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 116 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 117 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 118 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 119 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 120 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 121 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 122 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 123 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 124 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 125 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 126 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 127 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Window at 128 - Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
[[[ Keyset 'Text' Tests ]]]
Keyset 'Text' - keys of form "Foo[XXXX]Bar" - 14776336 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 19-bit window at bit 35 - 0.023%
Keyset 'Text' - keys of form "FooBar[XXXX]" - 14776336 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 53 - 0.025%
Keyset 'Text' - keys of form "[XXXX]FooBar" - 14776336 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 20-bit window at bit 10 - 0.018%
[[[ Keyset 'Zeroes' Tests ]]]
Keyset 'Zeroes' - 65536 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 13-bit window at bit 58 - 0.468%
[[[ Keyset 'Seed' Tests ]]]
Keyset 'Seed' - 1000000 keys
Testing collisions - Expected 0.00, actual 0.00 ( 0.00x)
Testing distribution - Worst bias is the 17-bit window at bit 46 - 0.127%
Input vcode 0x00000001, Output vcode 0x00000001, Result vcode 0x00000001
Verification value is 0x00000001 - Testing took 1664.050000 seconds
-------------------------------------------------------------------------------