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2DNHM
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2DNHM
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2D_NHM
BlockAlphabit:
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Starting Alphabit: nb = 1073741824
Version: TestU01 1.2.3
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.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+ : 0.68
p-value of test : 0.10
Kolmogorov-Smirnov- statistic = D- : 0.024
p-value of test : 0.98
Anderson-Darling statistic = A2 : 1.80
p-value of test : 0.12
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : -1.12
p-value of test : 0.87
Standardized empirical correlation : 0.84
p-value of test : 0.20
-----------------------------------------------
CPU time used : 00:00:04.20
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.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+ : 0.48
p-value of test : 0.28
Kolmogorov-Smirnov- statistic = D- : 0.21
p-value of test : 0.74
Anderson-Darling statistic = A2 : 1.25
p-value of test : 0.24
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : -0.78
p-value of test : 0.78
Standardized empirical correlation : -0.92
p-value of test : 0.82
-----------------------------------------------
CPU time used : 00:00:04.15
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.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+ : 0.31
p-value of test : 0.59
Kolmogorov-Smirnov- statistic = D- : 0.36
p-value of test : 0.52
Anderson-Darling statistic = A2 : 0.32
p-value of test : 0.92
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : 0.040
p-value of test : 0.48
Standardized empirical correlation : -0.26
p-value of test : 0.60
-----------------------------------------------
CPU time used : 00:00:04.07
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.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+ : 0.16
p-value of test : 0.81
Kolmogorov-Smirnov- statistic = D- : 0.45
p-value of test : 0.34
Anderson-Darling statistic = A2 : 0.48
p-value of test : 0.75
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : 0.62
p-value of test : 0.27
Standardized empirical correlation : -0.17
p-value of test : 0.57
-----------------------------------------------
CPU time used : 00:00:05.40
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.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 : 269.88
p-value of test : 0.28
-----------------------------------------------
CPU time used : 00:00:03.54
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.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 : 477.00
p-value of test : 0.77
-----------------------------------------------
CPU time used : 00:00:03.29
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 1
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 33554432, r = 0, s = 32, L = 32
-----------------------------------------------
Normal statistic : 0.21
p-value of test : 0.42
-----------------------------------------------
CPU time used : 00:00:03.26
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.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 : 33.23
p-value of test : 0.69
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 38
ChiSquare statistic : 35.52
p-value of test : 0.58
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 32
ChiSquare statistic : 24.78
p-value of test : 0.81
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 28
ChiSquare statistic : 27.81
p-value of test : 0.47
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 19
ChiSquare statistic : 18.27
p-value of test : 0.50
-----------------------------------------------
CPU time used : 00:00:09.40
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.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 : 61.24
p-value of test : 0.94
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 80
ChiSquare statistic : 94.66
p-value of test : 0.13
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 160
ChiSquare statistic : 176.72
p-value of test : 0.17
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 71
ChiSquare statistic : 74.27
p-value of test : 0.37
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 40
ChiSquare statistic : 37.21
p-value of test : 0.60
-----------------------------------------------
CPU time used : 00:00:07.78
Generator state:
1073741824 bits have been read.
========= Summary results of Alphabit =========
Version: TestU01 1.2.3
File: 2D_NHM.bin
Number of bits: 1073741824
Number of statistics: 17
Total CPU time: 00:00:45.14
All tests were passed
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Starting Alphabit: nb = 1073741824
Version: TestU01 1.2.3
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 2
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+ : 0.96
p-value of test : 1.7e-03
Kolmogorov-Smirnov- statistic = D- : 0.013
p-value of test : 0.99
Anderson-Darling statistic = A2 : 4.99
p-value of test : 3.8e-03
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : -1.38
p-value of test : 0.92
Standardized empirical correlation : 1.34
p-value of test : 0.09
-----------------------------------------------
CPU time used : 00:00:03.34
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 2
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+ : 0.46
p-value of test : 0.33
Kolmogorov-Smirnov- statistic = D- : 0.32
p-value of test : 0.58
Anderson-Darling statistic = A2 : 0.82
p-value of test : 0.45
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : -0.37
p-value of test : 0.65
Standardized empirical correlation : -1.62
p-value of test : 0.95
-----------------------------------------------
CPU time used : 00:00:03.23
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 2
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+ : 0.075
p-value of test : 0.92
Kolmogorov-Smirnov- statistic = D- : 0.90
p-value of test : 0.01
Anderson-Darling statistic = A2 : 2.85
p-value of test : 0.04
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : 1.95
p-value of test : 0.03
Standardized empirical correlation : 2.67
p-value of test : 3.8e-03
-----------------------------------------------
CPU time used : 00:00:03.21
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 2
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+ : 0.25
p-value of test : 0.69
Kolmogorov-Smirnov- statistic = D- : 0.61
p-value of test : 0.15
Anderson-Darling statistic = A2 : 0.79
p-value of test : 0.47
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : 0.69
p-value of test : 0.25
Standardized empirical correlation : 0.27
p-value of test : 0.39
-----------------------------------------------
CPU time used : 00:00:04.39
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 2
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 : 211.26
p-value of test : 0.98
-----------------------------------------------
CPU time used : 00:00:02.67
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 2
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 : 471.87
p-value of test : 0.82
-----------------------------------------------
CPU time used : 00:00:02.40
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 2
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 33554432, r = 0, s = 32, L = 32
-----------------------------------------------
Normal statistic : -2.38
p-value of test : 0.9914
-----------------------------------------------
CPU time used : 00:00:02.42
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 2
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 : 42.27
p-value of test : 0.29
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 38
ChiSquare statistic : 46.87
p-value of test : 0.15
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 32
ChiSquare statistic : 35.57
p-value of test : 0.30
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 28
ChiSquare statistic : 26.48
p-value of test : 0.55
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 19
ChiSquare statistic : 13.41
p-value of test : 0.82
-----------------------------------------------
CPU time used : 00:00:08.35
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 2
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 : 80.92
p-value of test : 0.45
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 80
ChiSquare statistic : 68.14
p-value of test : 0.83
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 160
ChiSquare statistic : 198.43
p-value of test : 0.02
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 71
ChiSquare statistic : 79.71
p-value of test : 0.22
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 40
ChiSquare statistic : 53.90
p-value of test : 0.07
-----------------------------------------------
CPU time used : 00:00:06.87
Generator state:
1073741824 bits have been read.
========= Summary results of Alphabit =========
Version: TestU01 1.2.3
File: 2D_NHM.bin
Number of bits: 1073741824
Number of statistics: 17
Total CPU time: 00:00:36.92
All tests were passed
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Starting Alphabit: nb = 1073741824
Version: TestU01 1.2.3
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 4
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- : 0.037
p-value of test : 0.96
Anderson-Darling statistic = A2 : 3.02
p-value of test : 0.03
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : -1.30
p-value of test : 0.90
Standardized empirical correlation : 1.20
p-value of test : 0.12
-----------------------------------------------
CPU time used : 00:00:02.87
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 4
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+ : 0.40
p-value of test : 0.44
Kolmogorov-Smirnov- statistic = D- : 0.11
p-value of test : 0.88
Anderson-Darling statistic = A2 : 0.50
p-value of test : 0.72
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : -0.71
p-value of test : 0.76
Standardized empirical correlation : -0.13
p-value of test : 0.55
-----------------------------------------------
CPU time used : 00:00:02.81
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 4
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+ : 0.22
p-value of test : 0.73
Kolmogorov-Smirnov- statistic = D- : 0.40
p-value of test : 0.44
Anderson-Darling statistic = A2 : 0.36
p-value of test : 0.88
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : 0.33
p-value of test : 0.37
Standardized empirical correlation : -0.31
p-value of test : 0.62
-----------------------------------------------
CPU time used : 00:00:02.78
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 4
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+ : 0.38
p-value of test : 0.47
Kolmogorov-Smirnov- statistic = D- : 0.58
p-value of test : 0.18
Anderson-Darling statistic = A2 : 0.77
p-value of test : 0.49
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : 0.34
p-value of test : 0.37
Standardized empirical correlation : 0.077
p-value of test : 0.47
-----------------------------------------------
CPU time used : 00:00:03.95
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 4
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 : 283.25
p-value of test : 0.13
-----------------------------------------------
CPU time used : 00:00:02.23
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 4
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 : 481.91
p-value of test : 0.72
-----------------------------------------------
CPU time used : 00:00:01.98
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 4
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 33554432, r = 0, s = 32, L = 32
-----------------------------------------------
Normal statistic : 8.57e-03
p-value of test : 0.50
-----------------------------------------------
CPU time used : 00:00:01.96
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 4
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 : 31.93
p-value of test : 0.75
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 38
ChiSquare statistic : 56.15
p-value of test : 0.03
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 32
ChiSquare statistic : 27.39
p-value of test : 0.70
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 28
ChiSquare statistic : 37.13
p-value of test : 0.12
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 19
ChiSquare statistic : 21.79
p-value of test : 0.29
-----------------------------------------------
CPU time used : 00:00:08.09
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 4
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 : 72.59
p-value of test : 0.71
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 80
ChiSquare statistic : 91.98
p-value of test : 0.17
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 160
ChiSquare statistic : 142.07
p-value of test : 0.84
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 71
ChiSquare statistic : 67.61
p-value of test : 0.59
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 40
ChiSquare statistic : 20.65
p-value of test : 0.9951
-----------------------------------------------
CPU time used : 00:00:06.59
Generator state:
1073741824 bits have been read.
========= Summary results of Alphabit =========
Version: TestU01 1.2.3
File: 2D_NHM.bin
Number of bits: 1073741824
Number of statistics: 17
Total CPU time: 00:00:33.29
All tests were passed
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Starting Alphabit: nb = 1073741824
Version: TestU01 1.2.3
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 8
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+ : 0.68
p-value of test : 0.10
Kolmogorov-Smirnov- statistic = D- : 8.18e-03
p-value of test : 0.9918
Anderson-Darling statistic = A2 : 2.31
p-value of test : 0.07
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : -1.13
p-value of test : 0.87
Standardized empirical correlation : 0.86
p-value of test : 0.20
-----------------------------------------------
CPU time used : 00:00:02.78
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 8
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+ : 0.22
p-value of test : 0.73
Kolmogorov-Smirnov- statistic = D- : 0.42
p-value of test : 0.40
Anderson-Darling statistic = A2 : 0.38
p-value of test : 0.85
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : 0.23
p-value of test : 0.41
Standardized empirical correlation : -0.33
p-value of test : 0.63
-----------------------------------------------
CPU time used : 00:00:02.68
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 8
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+ : 0.088
p-value of test : 0.90
Kolmogorov-Smirnov- statistic = D- : 0.64
p-value of test : 0.13
Anderson-Darling statistic = A2 : 1.12
p-value of test : 0.29
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : 1.21
p-value of test : 0.11
Standardized empirical correlation : 0.65
p-value of test : 0.26
-----------------------------------------------
CPU time used : 00:00:02.73
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 8
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+ : 0.10
p-value of test : 0.89
Kolmogorov-Smirnov- statistic = D- : 0.72
p-value of test : 0.08
Anderson-Darling statistic = A2 : 1.36
p-value of test : 0.21
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : 1.30
p-value of test : 0.10
Standardized empirical correlation : 1.02
p-value of test : 0.15
-----------------------------------------------
CPU time used : 00:00:03.89
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 8
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 : 232.50
p-value of test : 0.86
-----------------------------------------------
CPU time used : 00:00:02.09
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 8
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 : 508.57
p-value of test : 0.40
-----------------------------------------------
CPU time used : 00:00:01.76
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 8
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 : 00:00:01.84
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: 2D_NHM.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 8
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 : 37.13
p-value of test : 0.51
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 38
ChiSquare statistic : 36.56
p-value of test : 0.54
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 32
ChiSquare statistic : 50.95
p-value of test : 0.02
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 28
ChiSquare statistic : 31.54
p-value of test : 0.29
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 19
ChiSquare statistic : 31.10
p-value of test : 0.04
-----------------------------------------------