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ESCM HM
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ESCM HM
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ESCM HM:
Rabbit:
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Starting Rabbit: nb = 1073741824
Version: TestU01 1.2.3
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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 : 5433
p-value of test : 0.30
-----------------------------
Total number of cells containing j balls
j = 0 : 8246038952313
j = 1 : 298250574
j = 2 : 5433
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:14.23
Generator state:
298261440 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.bin
snpair_ClosePairsBitMatch test:
-----------------------------------------------
N = 9, n = 1864135, r = 0, t = 2
-----------------------------------------------
Max of all bit distances : 23.00
p-value of test : 0.05
-----------------------------------------------
CPU time used : 00:00:07.81
Generator state:
1073741760 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.bin
snpair_ClosePairsBitMatch test:
-----------------------------------------------
N = 9, n = 932067, r = 0, t = 4
-----------------------------------------------
Max of all bit distances : 11.00
p-value of test : 0.01
-----------------------------------------------
CPU time used : 00:00:06.73
Generator state:
1073741184 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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 : -1.79
p-value of test : 0.96
-----------------------------------------------
CPU time used : 00:00:02.48
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.bin
scomp_LinearComp test:
-----------------------------------------------
N = 1, n = 75520, r = 0, s = 32
-----------------------------------------------
Number of degrees of freedom : 9
Chi2 statistic for size of jumps : 3.89
p-value of test : 0.92
-----------------------------------------------
Normal statistic for number of jumps : 0.13
p-value of test : 0.45
-----------------------------------------------
CPU time used : 00:00:06.17
Generator state:
75520 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.bin
scomp_LempelZiv test:
-----------------------------------------------
N = 1, n = 268435456, r = 0, s = 32, k = 28
-----------------------------------------------
Normal statistic : -0.81
p-value of test : 0.79
-----------------------------------------------
CPU time used : 00:00:13.06
Generator state:
268435456 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.bin
sspectral_Fourier1 test:
-----------------------------------------------
N = 1, n = 1048576, r = 0, s = 32, k = 20
-----------------------------------------------
Normal statistic : -0.19
p-value of test : 0.57
-----------------------------------------------
CPU time used : 00:00:00.10
Generator state:
1048576 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.bin
sspectral_Fourier3 test:
-----------------------------------------------
N = 65408, n = 16384, r = 0, s = 32, k = 14
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.013
p-value of test : 0.24
Kolmogorov-Smirnov- statistic = D- : 5.87e-03
p-value of test : 0.75
Anderson-Darling statistic = A2 : 0.73
p-value of test : 0.53
-----------------------------------------------
CPU time used : 00:00:25.60
Generator state:
1073737728 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.bin
sstring_LongestHeadRun test:
-----------------------------------------------
N = 1, n = 600, r = 0, s = 32, L = 1789568
-----------------------------------------------
Number of degrees of freedom : 8
Chi-square statistic : 13.34
p-value of test : 0.10
-----------------------------------------------
Global longest run of 1 : 31.00
p-value of test : 0.22
-----------------------------------------------
CPU time used : 00:00:06.35
Generator state:
1073740800 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.bin
sstring_PeriodsInStrings test:
-----------------------------------------------
N = 1, n = 33554432, r = 0, s = 31
-----------------------------------------------
Number of degrees of freedom : 217
Chi-square statistic : 202.52
p-value of test : 0.75
-----------------------------------------------
CPU time used : 00:00:01.70
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.bin
sstring_HammingWeight test:
-----------------------------------------------
N = 1, n = 33554432, r = 0, s = 32, L = 32
-----------------------------------------------
Number of degrees of freedom : 26
Chi-square statistic : 24.40
p-value of test : 0.55
-----------------------------------------------
CPU time used : 00:00:01.01
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.bin
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 33554432, r = 0, s = 32, L = 32
-----------------------------------------------
Normal statistic : -1.66
p-value of test : 0.95
-----------------------------------------------
CPU time used : 00:00:01.00
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.bin
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 16777216, r = 0, s = 32, L = 64
-----------------------------------------------
Normal statistic : -2.24
p-value of test : 0.99
-----------------------------------------------
CPU time used : 00:00:01.00
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.bin
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 8388608, r = 0, s = 32, L = 128
-----------------------------------------------
Normal statistic : 0.20
p-value of test : 0.42
-----------------------------------------------
CPU time used : 00:00:01.03
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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 : 274.69
p-value of test : 0.21
-----------------------------------------------
CPU time used : 00:00:01.31
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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 : 550.02
p-value of test : 0.06
-----------------------------------------------
CPU time used : 00:00:01.04
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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 : 904.08
p-value of test : 0.32
-----------------------------------------------
CPU time used : 00:00:01.03
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.bin
sstring_AutoCor test:
-----------------------------------------------
N = 2, n = 536870849, r = 0, s = 32, d = 1
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.080
p-value of test : 0.91
Kolmogorov-Smirnov- statistic = D- : 0.47
p-value of test : 0.32
Anderson-Darling statistic = A2 : 0.71
p-value of test : 0.53
Tests on the sum of all N observations
Standardized normal statistic : 0.94
p-value of test : 0.17
Sample variance : 1.11
p-value of test : 0.29
-----------------------------------------------
CPU time used : 00:00:01.81
Generator state:
1073741760 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.bin
sstring_AutoCor test:
-----------------------------------------------
N = 2, n = 536870850, r = 0, s = 32, d = 2
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.11
p-value of test : 0.88
Kolmogorov-Smirnov- statistic = D- : 0.57
p-value of test : 0.19
Anderson-Darling statistic = A2 : 0.83
p-value of test : 0.44
Tests on the sum of all N observations
Standardized normal statistic : 1.00
p-value of test : 0.16
Sample variance : 0.56
p-value of test : 0.45
-----------------------------------------------
CPU time used : 00:00:01.82
Generator state:
1073741760 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.bin
sstring_Run test:
-----------------------------------------------
N = 1, n = 214748364, r = 0, s = 32
-----------------------------------------------
Total number of 1 runs: 214748369
Number of degrees of freedom : 48
Chi2 statistic for number of runs : 51.26
p-value of test : 0.35
-----------------------------------------------
Total number of bits: 858957472
Normal statistic for number of bits : -0.87
p-value of test : 0.81
-----------------------------------------------
CPU time used : 00:00:04.53
Generator state:
858957472 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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 : 5.07
p-value of test : 0.28
-----------------------------------------------
CPU time used : 00:00:08.10
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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 : 3.35
p-value of test : 0.34
-----------------------------------------------
CPU time used : 00:00:10.96
Generator state:
1073664000 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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 : 0.20
p-value of test : 0.90
-----------------------------------------------
CPU time used : 00:00:15.96
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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 : 52.67
p-value of test : 0.45
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 53
ChiSquare statistic : 45.64
p-value of test : 0.75
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 64
ChiSquare statistic : 62.71
p-value of test : 0.52
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 43
ChiSquare statistic : 67.29
p-value of test : 0.01
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 26
ChiSquare statistic : 42.64
p-value of test : 0.02
-----------------------------------------------
CPU time used : 00:00:06.21
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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 : 146.84
p-value of test : 0.15
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 132
ChiSquare statistic : 138.46
p-value of test : 0.33
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 512
ChiSquare statistic : 466.16
p-value of test : 0.93
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 124
ChiSquare statistic : 123.73
p-value of test : 0.49
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 67
ChiSquare statistic : 59.53
p-value of test : 0.73
-----------------------------------------------
CPU time used : 00:00:04.92
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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 : 307.01
p-value of test : 0.69
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 321
ChiSquare statistic : 302.85
p-value of test : 0.76
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 5008
ChiSquare statistic : 4955.92
p-value of test : 0.70
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 317
ChiSquare statistic : 314.25
p-value of test : 0.53
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 170
ChiSquare statistic : 179.20
p-value of test : 0.30
-----------------------------------------------
CPU time used : 00:00:04.28
Generator state:
1073735232 bits have been read.
========= Summary results of Rabbit =========
Version: TestU01 1.2.3
File: escmhm.bin
Number of bits: 1073741824
Number of statistics: 40
Total CPU time: 00:04:30.51
All tests were passed
Alphabit:
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Starting Alphabit: nb = 1073741824
Version: TestU01 1.2.3
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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+ : 0.49
p-value of test : 0.26
Kolmogorov-Smirnov- statistic = D- : 0.23
p-value of test : 0.72
Anderson-Darling statistic = A2 : 1.66
p-value of test : 0.15
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : -0.49
p-value of test : 0.69
Standardized empirical correlation : -0.43
p-value of test : 0.67
-----------------------------------------------
CPU time used : 00:00:01.95
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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+ : 0.24
p-value of test : 0.70
Kolmogorov-Smirnov- statistic = D- : 0.64
p-value of test : 0.13
Anderson-Darling statistic = A2 : 0.87
p-value of test : 0.42
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : 0.55
p-value of test : 0.29
Standardized empirical correlation : 0.16
p-value of test : 0.44
-----------------------------------------------
CPU time used : 00:00:01.85
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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+ : 0.39
p-value of test : 0.46
Kolmogorov-Smirnov- statistic = D- : 0.16
p-value of test : 0.81
Anderson-Darling statistic = A2 : 0.44
p-value of test : 0.79
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : -0.58
p-value of test : 0.72
Standardized empirical correlation : -0.65
p-value of test : 0.74
-----------------------------------------------
CPU time used : 00:00:01.84
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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+ : 0.30
p-value of test : 0.62
Kolmogorov-Smirnov- statistic = D- : 0.61
p-value of test : 0.15
Anderson-Darling statistic = A2 : 0.80
p-value of test : 0.46
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 : 0.21
p-value of test : 0.42
-----------------------------------------------
CPU time used : 00:00:03.10
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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 : 274.69
p-value of test : 0.21
-----------------------------------------------
CPU time used : 00:00:01.32
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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 : 550.02
p-value of test : 0.06
-----------------------------------------------
CPU time used : 00:00:01.03
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.bin
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 33554432, r = 0, s = 32, L = 32
-----------------------------------------------
Normal statistic : -1.66
p-value of test : 0.95
-----------------------------------------------
CPU time used : 00:00:01.01
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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 : 36.95
p-value of test : 0.52
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 38
ChiSquare statistic : 41.59
p-value of test : 0.32
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 32
ChiSquare statistic : 14.56
p-value of test : 0.9965
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 28
ChiSquare statistic : 18.59
p-value of test : 0.91
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 19
ChiSquare statistic : 13.13
p-value of test : 0.83
-----------------------------------------------
CPU time used : 00:00:07.00
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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 : 78.99
p-value of test : 0.51
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 80
ChiSquare statistic : 97.35
p-value of test : 0.09
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 160
ChiSquare statistic : 163.89
p-value of test : 0.40
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 71
ChiSquare statistic : 60.97
p-value of test : 0.80
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 40
ChiSquare statistic : 57.26
p-value of test : 0.04
-----------------------------------------------
CPU time used : 00:00:05.48
Generator state:
1073741760 bits have been read.
========= Summary results of Alphabit =========
Version: TestU01 1.2.3
File: escmhm.bin
Number of bits: 1073741824
Number of statistics: 17
Total CPU time: 00:00:24.65
All tests were passed
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Starting Alphabit: nb = 1073741824
Version: TestU01 1.2.3
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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+ : 0.49
p-value of test : 0.27
Kolmogorov-Smirnov- statistic = D- : 0.31
p-value of test : 0.59
Anderson-Darling statistic = A2 : 1.55
p-value of test : 0.17
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : -0.23
p-value of test : 0.59
Standardized empirical correlation : -0.94
p-value of test : 0.83
-----------------------------------------------
CPU time used : 00:00:04.21
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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+ : 0.42
p-value of test : 0.41
Kolmogorov-Smirnov- statistic = D- : 0.29
p-value of test : 0.62
Anderson-Darling statistic = A2 : 0.51
p-value of test : 0.71
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : -0.33
p-value of test : 0.63
Standardized empirical correlation : -1.20
p-value of test : 0.89
-----------------------------------------------
CPU time used : 00:00:04.10
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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+ : 0.14
p-value of test : 0.83
Kolmogorov-Smirnov- statistic = D- : 0.40
p-value of test : 0.44
Anderson-Darling statistic = A2 : 0.43
p-value of test : 0.80
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : 0.55
p-value of test : 0.29
Standardized empirical correlation : -0.43
p-value of test : 0.67
-----------------------------------------------
CPU time used : 00:00:04.07
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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+ : 0.42
p-value of test : 0.41
Kolmogorov-Smirnov- statistic = D- : 0.32
p-value of test : 0.58
Anderson-Darling statistic = A2 : 0.40
p-value of test : 0.84
For the sum of the N observations, we use
the Normal approximation:
Standardized empirical mean : -0.19
p-value of test : 0.57
Standardized empirical correlation : -0.14
p-value of test : 0.55
-----------------------------------------------
CPU time used : 00:00:05.46
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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 : 242.22
p-value of test : 0.74
-----------------------------------------------
CPU time used : 00:00:03.56
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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 : 485.41
p-value of test : 0.68
-----------------------------------------------
CPU time used : 00:00:03.29
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.bin
unif01_CreateBitBlockGen: r = 0, s = 32, w = 1
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 33554432, r = 0, s = 32, L = 32
-----------------------------------------------
Normal statistic : 0.36
p-value of test : 0.36
-----------------------------------------------
CPU time used : 00:00:03.29
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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 : 44.78
p-value of test : 0.21
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 38
ChiSquare statistic : 58.44
p-value of test : 0.02
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 32
ChiSquare statistic : 36.15
p-value of test : 0.28
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 28
ChiSquare statistic : 28.11
p-value of test : 0.46
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 19
ChiSquare statistic : 20.48
p-value of test : 0.37
-----------------------------------------------
CPU time used : 00:00:09.31
Generator state:
1073741824 bits have been read.
***********************************************************
HOST =
ufile_CreateReadBin: escmhm.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 : 63.67
p-value of test : 0.91
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 80
ChiSquare statistic : 94.98
p-value of test : 0.12
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 160
ChiSquare statistic : 168.36
p-value of test : 0.31
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 71
ChiSquare statistic : 70.78
p-value of test : 0.49
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 40
ChiSquare statistic : 33.45
p-value of test : 0.76
-----------------------------------------------
CPU time used : 00:00:07.75
Generator state:
1073741824 bits have been read.
========= Summary results of Alphabit =========
Version: TestU01 1.2.3
File: escmhm.bin
Number of bits: 1073741824