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Enhance HM
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Enhance HM
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EHM
Rabbit:
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Starting Rabbit: nb = 1073741824
Version: TestU01 1.2.3
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
smultin_MultinomialBitsOver test:
-----------------------------------------------
N = 30, n = 9942048, r = 0, s = 32, L = 38,
Sparse = TRUE
Number of bits = n = 9942048
Number of cells = 2^L = 274877906944
Expected number per cell = 1 / 27648.016
EColl = n^2 / (2k) = 179.7967678
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 27648.02
Expected number of collisions = Mu = 179.79
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 5393.80
Observed number of collisions : 5586
p-value of test : 4.7e-03
-----------------------------
Total number of cells containing j balls
j = 0 : 8246038952466
j = 1 : 298250270
j = 2 : 5582
j = 3 : 2
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:21.73
Generator state:
298261440 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
snpair_ClosePairsBitMatch test:
-----------------------------------------------
N = 9, n = 1864135, r = 0, t = 2
-----------------------------------------------
Max of all bit distances : 21.00
p-value of test : 0.59
-----------------------------------------------
CPU time used : 00:00:10.00
Generator state:
1073741760 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
snpair_ClosePairsBitMatch test:
-----------------------------------------------
N = 9, n = 932067, r = 0, t = 4
-----------------------------------------------
Max of all bit distances : 10.00
p-value of test : 0.20
-----------------------------------------------
CPU time used : 00:00:08.57
Generator state:
1073741184 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
svaria_AppearanceSpacings test:
-----------------------------------------------
N = 1, Q = 33554432, K = 33554432, r = 0, s = 30, L = 15
Sequences of n = (K + Q)L = 1006632960 bits
Q = 33554432 initialization blocks
K = 33554432 blocks for the test
the blocks have L = 15 bits
-----------------------------------------------
Normal statistic : 0.89
p-value of test : 0.19
-----------------------------------------------
CPU time used : 00:00:03.35
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
scomp_LinearComp test:
-----------------------------------------------
N = 1, n = 75520, r = 0, s = 32
-----------------------------------------------
Number of degrees of freedom : 9
Chi2 statistic for size of jumps : 13.28
p-value of test : 0.15
-----------------------------------------------
Normal statistic for number of jumps : 1.09
p-value of test : 0.14
-----------------------------------------------
CPU time used : 00:00:08.75
Generator state:
75520 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
scomp_LempelZiv test:
-----------------------------------------------
N = 1, n = 268435456, r = 0, s = 32, k = 28
-----------------------------------------------
Normal statistic : -0.86
p-value of test : 0.81
-----------------------------------------------
CPU time used : 00:00:16.09
Generator state:
268435456 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
sspectral_Fourier1 test:
-----------------------------------------------
N = 1, n = 1048576, r = 0, s = 32, k = 20
-----------------------------------------------
Normal statistic : 0.060
p-value of test : 0.48
-----------------------------------------------
CPU time used : 00:00:00.12
Generator state:
1048576 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
sspectral_Fourier3 test:
-----------------------------------------------
N = 65408, n = 16384, r = 0, s = 32, k = 14
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 9.09e-03
p-value of test : 0.51
Kolmogorov-Smirnov- statistic = D- : 6.40e-03
p-value of test : 0.71
Anderson-Darling statistic = A2 : 0.37
p-value of test : 0.88
-----------------------------------------------
CPU time used : 00:00:33.39
Generator state:
1073737728 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
sstring_LongestHeadRun test:
-----------------------------------------------
N = 1, n = 600, r = 0, s = 32, L = 1789568
-----------------------------------------------
Number of degrees of freedom : 8
Chi-square statistic : 9.62
p-value of test : 0.29
-----------------------------------------------
Global longest run of 1 : 29.00
p-value of test : 0.50
-----------------------------------------------
CPU time used : 00:00:07.50
Generator state:
1073740800 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
sstring_PeriodsInStrings test:
-----------------------------------------------
N = 1, n = 33554432, r = 0, s = 31
-----------------------------------------------
Number of degrees of freedom : 217
Chi-square statistic : 201.41
p-value of test : 0.77
-----------------------------------------------
CPU time used : 00:00:03.12
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
sstring_HammingWeight test:
-----------------------------------------------
N = 1, n = 33554432, r = 0, s = 32, L = 32
-----------------------------------------------
Number of degrees of freedom : 26
Chi-square statistic : 17.49
p-value of test : 0.89
-----------------------------------------------
CPU time used : 00:00:01.46
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 33554432, r = 0, s = 32, L = 32
-----------------------------------------------
Normal statistic : -0.34
p-value of test : 0.63
-----------------------------------------------
CPU time used : 00:00:01.64
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 16777216, r = 0, s = 32, L = 64
-----------------------------------------------
Normal statistic : -0.42
p-value of test : 0.66
-----------------------------------------------
CPU time used : 00:00:01.48
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 8388608, r = 0, s = 32, L = 128
-----------------------------------------------
Normal statistic : 0.51
p-value of test : 0.31
-----------------------------------------------
CPU time used : 00:00:01.25
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 33554432, r = 0, s = 32, L = 16, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 257
Chi-square statistic : 239.64
p-value of test : 0.77
-----------------------------------------------
CPU time used : 00:00:01.46
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 16777216, r = 0, s = 32, L = 32, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 501
Chi-square statistic : 540.57
p-value of test : 0.11
-----------------------------------------------
CPU time used : 00:00:01.06
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 8388608, r = 0, s = 32, L = 64, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 885
Chi-square statistic : 847.83
p-value of test : 0.81
-----------------------------------------------
CPU time used : 00:00:01.07
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
sstring_AutoCor test:
-----------------------------------------------
N = 2, n = 536870849, r = 0, s = 32, d = 1
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.34
p-value of test : 0.54
Kolmogorov-Smirnov- statistic = D- : 0.49
p-value of test : 0.28
Anderson-Darling statistic = A2 : 0.52
p-value of test : 0.70
Tests on the sum of all N observations
Standardized normal statistic : 0.27
p-value of test : 0.40
Sample variance : 0.10
p-value of test : 0.75
-----------------------------------------------
CPU time used : 00:00:01.87
Generator state:
1073741760 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
sstring_AutoCor test:
-----------------------------------------------
N = 2, n = 536870850, r = 0, s = 32, d = 2
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.51
p-value of test : 0.24
Kolmogorov-Smirnov- statistic = D- : 0.10
p-value of test : 0.89
Anderson-Darling statistic = A2 : 0.72
p-value of test : 0.52
Tests on the sum of all N observations
Standardized normal statistic : -0.93
p-value of test : 0.82
Sample variance : 0.78
p-value of test : 0.38
-----------------------------------------------
CPU time used : 00:00:01.84
Generator state:
1073741760 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
sstring_Run test:
-----------------------------------------------
N = 1, n = 214748364, r = 0, s = 32
-----------------------------------------------
Total number of 1 runs: 214748364
Number of degrees of freedom : 48
Chi2 statistic for number of runs : 63.02
p-value of test : 0.07
-----------------------------------------------
Total number of bits: 858985792
Normal statistic for number of bits : -0.18
p-value of test : 0.57
-----------------------------------------------
CPU time used : 00:00:04.78
Generator state:
858985792 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 1048576, r = 0, s = 32, L = 32, k = 32
-----------------------------------------------
Number of degrees of freedom : 4
Chi-square statistic : 2.94
p-value of test : 0.57
-----------------------------------------------
CPU time used : 00:00:08.68
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 10485, r = 0, s = 32, L = 320, k = 320
-----------------------------------------------
Number of degrees of freedom : 3
Chi-square statistic : 2.93
p-value of test : 0.40
-----------------------------------------------
CPU time used : 00:00:11.51
Generator state:
1073664000 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 1024, r = 0, s = 32, L = 1024, k = 1024
-----------------------------------------------
Number of degrees of freedom : 2
Chi-square statistic : 0.41
p-value of test : 0.82
-----------------------------------------------
CPU time used : 00:00:17.12
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 8388608, r = 0, s = 32, L0 = 128, L1 = 128
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 52
ChiSquare statistic : 46.18
p-value of test : 0.70
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 53
ChiSquare statistic : 46.90
p-value of test : 0.71
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 64
ChiSquare statistic : 81.81
p-value of test : 0.07
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 43
ChiSquare statistic : 33.03
p-value of test : 0.86
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 26
ChiSquare statistic : 19.59
p-value of test : 0.81
-----------------------------------------------
CPU time used : 00:00:08.89
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 1048576, r = 0, s = 32, L0 = 1024, L1 = 1024
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 130
ChiSquare statistic : 132.98
p-value of test : 0.41
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 132
ChiSquare statistic : 127.98
p-value of test : 0.58
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 512
ChiSquare statistic : 493.16
p-value of test : 0.72
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 124
ChiSquare statistic : 115.20
p-value of test : 0.70
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 67
ChiSquare statistic : 72.49
p-value of test : 0.30
-----------------------------------------------
CPU time used : 00:00:07.31
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 107202, r = 0, s = 32, L0 = 10016, L1 = 10016
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 320
ChiSquare statistic : 317.44
p-value of test : 0.53
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 321
ChiSquare statistic : 354.22
p-value of test : 0.10
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 5008
ChiSquare statistic : 5060.43
p-value of test : 0.30
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 317
ChiSquare statistic : 314.42
p-value of test : 0.53
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 170
ChiSquare statistic : 171.59
p-value of test : 0.45
-----------------------------------------------
CPU time used : 00:00:05.56
Generator state:
1073735232 bits have been read.
========= Summary results of Rabbit =========
Version: TestU01 1.2.3
File: EHM.bin
Number of bits: 1073741824
Number of statistics: 40
Total CPU time: 00:05:09.95
All tests were passed
Alphabit:
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Starting Alphabit: nb = 1073741824
Version: TestU01 1.2.3
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
smultin_MultinomialBitsOver test:
-----------------------------------------------
N = 2, n = 536870912, r = 0, s = 32, L = 2,
Sparse = FALSE
Number of bits = n = 536870912
Number of cells = 2^L = 4
Expected number per cell = 1.3421773e+008
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 9.3132258e-010, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Kolmogorov-Smirnov+ statistic = D+ : 0.89
p-value of test : 0.01
Kolmogorov-Smirnov- statistic = D- : 0.017
p-value of test : 0.98
Anderson-Darling statistic = A2 : 3.38
p-value of test : 0.02
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : -1.32
p-value of test : 0.91
Standardized empirical correlation : 1.22
p-value of test : 0.11
-----------------------------------------------
CPU time used : 00:00:03.20
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
smultin_MultinomialBitsOver test:
-----------------------------------------------
N = 2, n = 536870912, r = 0, s = 32, L = 4,
Sparse = FALSE
Number of bits = n = 536870912
Number of cells = 2^L = 16
Expected number per cell = 33554432
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 6.519258e-009, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Kolmogorov-Smirnov+ statistic = D+ : 0.12
p-value of test : 0.87
Kolmogorov-Smirnov- statistic = D- : 0.73
p-value of test : 0.07
Anderson-Darling statistic = A2 : 1.38
p-value of test : 0.21
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : 1.20
p-value of test : 0.11
Standardized empirical correlation : 0.83
p-value of test : 0.20
-----------------------------------------------
CPU time used : 00:00:03.06
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
smultin_MultinomialBitsOver test:
-----------------------------------------------
N = 2, n = 536870912, r = 0, s = 32, L = 8,
Sparse = FALSE
Number of bits = n = 536870912
Number of cells = 2^L = 256
Expected number per cell = 2097152
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 1.1827797e-007, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Kolmogorov-Smirnov+ statistic = D+ : 0.25
p-value of test : 0.68
Kolmogorov-Smirnov- statistic = D- : 0.59
p-value of test : 0.17
Anderson-Darling statistic = A2 : 0.72
p-value of test : 0.52
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : 0.58
p-value of test : 0.28
Standardized empirical correlation : 0.16
p-value of test : 0.44
-----------------------------------------------
CPU time used : 00:00:03.09
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
smultin_MultinomialBitsOver test:
-----------------------------------------------
N = 2, n = 536870912, r = 0, s = 32, L = 16,
Sparse = FALSE
Number of bits = n = 536870912
Number of cells = 2^L = 65536
Expected number per cell = 8192
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 3.0516647e-005, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Kolmogorov-Smirnov+ statistic = D+ : 0.22
p-value of test : 0.73
Kolmogorov-Smirnov- statistic = D- : 0.76
p-value of test : 0.06
Anderson-Darling statistic = A2 : 1.40
p-value of test : 0.20
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : 1.04
p-value of test : 0.15
Standardized empirical correlation : 0.77
p-value of test : 0.22
-----------------------------------------------
CPU time used : 00:00:05.35
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 33554432, r = 0, s = 32, L = 16, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 257
Chi-square statistic : 239.64
p-value of test : 0.77
-----------------------------------------------
CPU time used : 00:00:01.71
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 16777216, r = 0, s = 32, L = 32, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 501
Chi-square statistic : 540.57
p-value of test : 0.11
-----------------------------------------------
CPU time used : 00:00:01.43
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 33554432, r = 0, s = 32, L = 32
-----------------------------------------------
Normal statistic : -0.34
p-value of test : 0.63
-----------------------------------------------
CPU time used : 00:00:01.32
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 16777216, r = 0, s = 32, L0 = 64, L1 = 64
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 38
ChiSquare statistic : 36.62
p-value of test : 0.53
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 38
ChiSquare statistic : 35.49
p-value of test : 0.59
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 32
ChiSquare statistic : 29.65
p-value of test : 0.59
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 28
ChiSquare statistic : 31.98
p-value of test : 0.28
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 19
ChiSquare statistic : 12.33
p-value of test : 0.87
-----------------------------------------------
CPU time used : 00:00:10.03
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 3355443, r = 0, s = 32, L0 = 320, L1 = 320
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 80
ChiSquare statistic : 77.53
p-value of test : 0.56
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 80
ChiSquare statistic : 89.85
p-value of test : 0.21
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 160
ChiSquare statistic : 148.60
p-value of test : 0.73
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 71
ChiSquare statistic : 84.63
p-value of test : 0.13
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 40
ChiSquare statistic : 56.52
p-value of test : 0.04
-----------------------------------------------
CPU time used : 00:00:08.20
Generator state:
1073741760 bits have been read.
========= Summary results of Alphabit =========
Version: TestU01 1.2.3
File: EHM.bin
Number of bits: 1073741824
Number of statistics: 17
Total CPU time: 00:00:37.43
All tests were passed
BlockAlphabit:
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Starting Alphabit: nb = 1073741824
Version: TestU01 1.2.3
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 1
smultin_MultinomialBitsOver test:
-----------------------------------------------
N = 2, n = 536870912, r = 0, s = 32, L = 2,
Sparse = FALSE
Number of bits = n = 536870912
Number of cells = 2^L = 4
Expected number per cell = 1.3421773e+008
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 9.3132258e-010, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Kolmogorov-Smirnov+ statistic = D+ : 0.47
p-value of test : 0.30
Kolmogorov-Smirnov- statistic = D- : 0.048
p-value of test : 0.95
Anderson-Darling statistic = A2 : 1.17
p-value of test : 0.27
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : -0.83
p-value of test : 0.80
Standardized empirical correlation : 0.28
p-value of test : 0.39
-----------------------------------------------
CPU time used : 00:00:07.60
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 1
smultin_MultinomialBitsOver test:
-----------------------------------------------
N = 2, n = 536870912, r = 0, s = 32, L = 4,
Sparse = FALSE
Number of bits = n = 536870912
Number of cells = 2^L = 16
Expected number per cell = 33554432
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 6.519258e-009, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Kolmogorov-Smirnov+ statistic = D+ : 0.86
p-value of test : 0.02
Kolmogorov-Smirnov- statistic = D- : 0.10
p-value of test : 0.89
Anderson-Darling statistic = A2 : 2.38
p-value of test : 0.06
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : -1.52
p-value of test : 0.94
Standardized empirical correlation : 1.62
p-value of test : 0.05
-----------------------------------------------
CPU time used : 00:00:06.53
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 1
smultin_MultinomialBitsOver test:
-----------------------------------------------
N = 2, n = 536870912, r = 0, s = 32, L = 8,
Sparse = FALSE
Number of bits = n = 536870912
Number of cells = 2^L = 256
Expected number per cell = 2097152
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 1.1827797e-007, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Kolmogorov-Smirnov+ statistic = D+ : 0.16
p-value of test : 0.81
Kolmogorov-Smirnov- statistic = D- : 0.79
p-value of test : 0.05
Anderson-Darling statistic = A2 : 1.62
p-value of test : 0.15
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : 1.24
p-value of test : 0.11
Standardized empirical correlation : 1.07
p-value of test : 0.14
-----------------------------------------------
CPU time used : 00:00:04.50
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 1
smultin_MultinomialBitsOver test:
-----------------------------------------------
N = 2, n = 536870912, r = 0, s = 32, L = 16,
Sparse = FALSE
Number of bits = n = 536870912
Number of cells = 2^L = 65536
Expected number per cell = 8192
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 3.0516647e-005, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Kolmogorov-Smirnov+ statistic = D+ : 0.11
p-value of test : 0.88
Kolmogorov-Smirnov- statistic = D- : 0.71
p-value of test : 0.08
Anderson-Darling statistic = A2 : 1.31
p-value of test : 0.23
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : 1.26
p-value of test : 0.10
Standardized empirical correlation : 0.96
p-value of test : 0.17
-----------------------------------------------
CPU time used : 00:00:05.54
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 1
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 33554432, r = 0, s = 32, L = 16, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 257
Chi-square statistic : 251.38
p-value of test : 0.59
-----------------------------------------------
CPU time used : 00:00:04.28
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 1
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 16777216, r = 0, s = 32, L = 32, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 501
Chi-square statistic : 481.19
p-value of test : 0.73
-----------------------------------------------
CPU time used : 00:00:03.71
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 1
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 33554432, r = 0, s = 32, L = 32
-----------------------------------------------
Normal statistic : -0.17
p-value of test : 0.57
-----------------------------------------------
CPU time used : 00:00:03.31
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 1
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 16777216, r = 0, s = 32, L0 = 64, L1 = 64
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 38
ChiSquare statistic : 31.26
p-value of test : 0.77
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 38
ChiSquare statistic : 46.78
p-value of test : 0.16
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 32
ChiSquare statistic : 20.85
p-value of test : 0.93
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 28
ChiSquare statistic : 24.43
p-value of test : 0.66
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 19
ChiSquare statistic : 3.61
p-value of test : 1 - 4.8e-05 *****
-----------------------------------------------
CPU time used : 00:00:09.43
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: EHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 1
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 3355443, r = 0, s = 32, L0 = 320, L1 = 320
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 80
ChiSquare statistic : 76.32
p-value of test : 0.60
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 80
ChiSquare statistic : 58.85
p-value of test : 0.96
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 160
ChiSquare statistic : 147.32
p-value of test : 0.76
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 71
ChiSquare statistic : 51.75
p-value of test : 0.96
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 40
ChiSquare statistic : 29.66
p-value of test : 0.88
-----------------------------------------------
CPU time used : 00:00:07.81
Generator state:
1073741824 bits have been read.
========= Summary results of Alphabit =========
Version: TestU01 1.2.3
File: EHM.bin
Number of bits: 1073741824