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==seed: 848432
==xorshift1024star
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Starting BigCrush
Version: TestU01 1.2.3
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
***********************************************************
Test smarsa_SerialOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 1, n = 1000000000, r = 0, d = 256, t = 3,
Sparse = FALSE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 16777216
Expected number per cell = 59.604645
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 0.0083558402, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Number of degrees of freedom : 16711680
Value of the statistic : 1.67e+7
p-value of test : 0.53
-----------------------------------------------
CPU time used : 00:00:49.42
Generator state:
***********************************************************
Test smarsa_SerialOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 1, n = 1000000000, r = 22, d = 256, t = 3,
Sparse = FALSE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 16777216
Expected number per cell = 59.604645
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 0.0083558402, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Number of degrees of freedom : 16711680
Value of the statistic : 1.67e+7
p-value of test : 0.31
-----------------------------------------------
CPU time used : 00:00:51.34
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 0, d = 2097152, t = 2,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1343
p-value of test : 0.71
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334463
j = 1 : 599997314
j = 2 : 1343
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:01:46.47
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 9, d = 2097152, t = 2,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1349
p-value of test : 0.65
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334469
j = 1 : 599997302
j = 2 : 1349
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:01:52.06
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 0, d = 16384, t = 3,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1373
p-value of test : 0.41
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334493
j = 1 : 599997254
j = 2 : 1373
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:16.44
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 16, d = 16384, t = 3,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1393
p-value of test : 0.22
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334513
j = 1 : 599997214
j = 2 : 1393
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:16.75
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 0, d = 64, t = 7,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1384
p-value of test : 0.30
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334504
j = 1 : 599997232
j = 2 : 1384
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:17.85
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 24, d = 64, t = 7,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1326
p-value of test : 0.85
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334446
j = 1 : 599997348
j = 2 : 1326
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:19.53
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 0, d = 8, t = 14,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1389
p-value of test : 0.25
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334509
j = 1 : 599997222
j = 2 : 1389
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:17.64
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 27, d = 8, t = 14,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1433
p-value of test : 0.03
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334553
j = 1 : 599997134
j = 2 : 1433
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:19.40
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 0, d = 4, t = 21,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1351
p-value of test : 0.63
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334471
j = 1 : 599997298
j = 2 : 1351
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:15.96
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 28, d = 4, t = 21,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1416
p-value of test : 0.08
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334536
j = 1 : 599997168
j = 2 : 1416
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:17.66
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 100, n = 10000000, r = 0, d = 2147483648, t = 2, p = 1
Number of cells = d^t = 4611686018427387904
Lambda = Poisson mean = 54.2101
----------------------------------------------------
Total expected number = N*Lambda : 5421.01
Total observed number : 5487
p-value of test : 0.19
-----------------------------------------------
CPU time used : 00:02:58.90
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 20000000, r = 0, d = 2097152, t = 3, p = 1
Number of cells = d^t = 9223372036854775808
Lambda = Poisson mean = 216.8404
----------------------------------------------------
Total expected number = N*Lambda : 4336.81
Total observed number : 4346
p-value of test : 0.45
-----------------------------------------------
CPU time used : 00:01:16.04
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 30000000, r = 14, d = 65536, t = 4, p = 1
Number of cells = d^t = 18446744073709551616
Lambda = Poisson mean = 365.9182
----------------------------------------------------
Total expected number = N*Lambda : 7318.36
Total observed number : 7228
p-value of test : 0.85
-----------------------------------------------
CPU time used : 00:02:02.54
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 20000000, r = 0, d = 512, t = 7, p = 1
Number of cells = d^t = 9223372036854775808
Lambda = Poisson mean = 216.8404
----------------------------------------------------
Total expected number = N*Lambda : 4336.81
Total observed number : 4264
p-value of test : 0.86
-----------------------------------------------
CPU time used : 00:01:25.00
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 20000000, r = 7, d = 512, t = 7, p = 1
Number of cells = d^t = 9223372036854775808
Lambda = Poisson mean = 216.8404
----------------------------------------------------
Total expected number = N*Lambda : 4336.81
Total observed number : 4454
p-value of test : 0.04
-----------------------------------------------
CPU time used : 00:01:28.13
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 30000000, r = 14, d = 256, t = 8, p = 1
Number of cells = d^t = 18446744073709551616
Lambda = Poisson mean = 365.9182
----------------------------------------------------
Total expected number = N*Lambda : 7318.36
Total observed number : 7234
p-value of test : 0.84
-----------------------------------------------
CPU time used : 00:02:18.30
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 30000000, r = 22, d = 256, t = 8, p = 1
Number of cells = d^t = 18446744073709551616
Lambda = Poisson mean = 365.9182
----------------------------------------------------
Total expected number = N*Lambda : 7318.36
Total observed number : 7315
p-value of test : 0.51
-----------------------------------------------
CPU time used : 00:02:18.42
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 30000000, r = 0, d = 16, t = 16, p = 1
Number of cells = d^t = 18446744073709551616
Lambda = Poisson mean = 365.9182
----------------------------------------------------
Total expected number = N*Lambda : 7318.36
Total observed number : 7318
p-value of test : 0.50
-----------------------------------------------
CPU time used : 00:02:43.44
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 30000000, r = 26, d = 16, t = 16, p = 1
Number of cells = d^t = 18446744073709551616
Lambda = Poisson mean = 365.9182
----------------------------------------------------
Total expected number = N*Lambda : 7318.36
Total observed number : 7248
p-value of test : 0.79
-----------------------------------------------
CPU time used : 00:02:53.34
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
snpair_ClosePairs test:
-----------------------------------------------
N = 30, n = 6000000, r = 0, t = 3, p = 0, m = 30, Torus = TRUE
---------------------------------------
Test based on the 2 nearest points (NP):
Stat. AD on the N values (NP) : 0.52
p-value of test : 0.73
A2 test based on the spacings between the
successive jump times of process Y_n(t):
A2 test on the values of A2 (m-NP) : 1.54
p-value of test : 0.17
Test on the Nm values of W_{n,i}(mNP1): 2.40
p-value of test : 0.06
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 900
Number of jumps of Y : 865
p-value of test : 0.88
Stat. AD (mNP2) : 0.28
p-value of test : 0.95
Stat. AD after spacings (mNP2-S) : 0.36
p-value of test : 0.89
-----------------------------------------------
CPU time used : 00:02:06.51
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
snpair_ClosePairs test:
-----------------------------------------------
N = 20, n = 4000000, r = 0, t = 5, p = 0, m = 30, Torus = TRUE
---------------------------------------
Test based on the 2 nearest points (NP):
Stat. AD on the N values (NP) : 0.97
p-value of test : 0.37
A2 test based on the spacings between the
successive jump times of process Y_n(t):
A2 test on the values of A2 (m-NP) : 2.31
p-value of test : 0.06
Test on the Nm values of W_{n,i}(mNP1): 1.33
p-value of test : 0.22
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 600
Number of jumps of Y : 570
p-value of test : 0.89
Stat. AD (mNP2) : 0.19
p-value of test : 0.9922
Stat. AD after spacings (mNP2-S) : 1.19
p-value of test : 0.27
-----------------------------------------------
CPU time used : 00:01:23.34
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
snpair_ClosePairs test:
-----------------------------------------------
N = 10, n = 3000000, r = 0, t = 9, p = 0, m = 30, Torus = TRUE
---------------------------------------
Test based on the 2 nearest points (NP):
Stat. AD on the N values (NP) : 1.25
p-value of test : 0.25
A2 test based on the spacings between the
successive jump times of process Y_n(t):
A2 test on the values of A2 (m-NP) : 0.61
p-value of test : 0.63
Test on the Nm values of W_{n,i}(mNP1): 1.60
p-value of test : 0.16
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 300
Number of jumps of Y : 279
p-value of test : 0.88
Stat. AD (mNP2) : 2.40
p-value of test : 0.06
Stat. AD after spacings (mNP2-S) : 0.57
p-value of test : 0.67
-----------------------------------------------
CPU time used : 00:02:11.63
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
snpair_ClosePairs test:
-----------------------------------------------
N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30, Torus = TRUE
---------------------------------------
Test based on the 2 nearest points (NP):
Stat. AD on the N values (NP) : 0.58
p-value of test : 0.66
A2 test based on the spacings between the
successive jump times of process Y_n(t):
A2 test on the values of A2 (m-NP) : 0.79
p-value of test : 0.48
Test on the Nm values of W_{n,i}(mNP1): 0.83
p-value of test : 0.46
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 150
Number of jumps of Y : 158
p-value of test : 0.27
Stat. AD (mNP2) : 1.58
p-value of test : 0.16
Stat. AD after spacings (mNP2-S) : 0.20
p-value of test : 0.9911
-----------------------------------------------
CPU time used : 00:02:24.38
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 400000000, r = 0, d = 8, k = 8
-----------------------------------------------
Number of degrees of freedom : 7
Chi-square statistic : 7.08
p-value of test : 0.42
-----------------------------------------------
CPU time used : 00:00:35.76
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 400000000, r = 27, d = 8, k = 8
-----------------------------------------------
Number of degrees of freedom : 7
Chi-square statistic : 2.60
p-value of test : 0.92
-----------------------------------------------
CPU time used : 00:00:42.57
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 100000000, r = 0, d = 32, k = 32
-----------------------------------------------
Number of degrees of freedom : 18
Chi-square statistic : 12.96
p-value of test : 0.79
-----------------------------------------------
CPU time used : 00:00:37.32
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 100000000, r = 25, d = 32, k = 32
-----------------------------------------------
Number of degrees of freedom : 18
Chi-square statistic : 9.59
p-value of test : 0.94
-----------------------------------------------
CPU time used : 00:00:44.44
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 200000000, r = 0, d = 8
-----------------------------------------------
Number of degrees of freedom : 54
Chi-square statistic : 62.56
p-value of test : 0.20
-----------------------------------------------
CPU time used : 00:00:45.82
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 200000000, r = 10, d = 8
-----------------------------------------------
Number of degrees of freedom : 54
Chi-square statistic : 49.12
p-value of test : 0.66
-----------------------------------------------
CPU time used : 00:00:54.78
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 200000000, r = 20, d = 8
-----------------------------------------------
Number of degrees of freedom : 54
Chi-square statistic : 47.97
p-value of test : 0.70
-----------------------------------------------
CPU time used : 00:00:54.71
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 200000000, r = 27, d = 8
-----------------------------------------------
Number of degrees of freedom : 54
Chi-square statistic : 56.49
p-value of test : 0.38
-----------------------------------------------
CPU time used : 00:00:54.71
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 500000000, r = 0, Alpha = 0, Beta = 0.0625
-----------------------------------------------
Number of degrees of freedom : 232
Chi-square statistic : 270.12
p-value of test : 0.04
-----------------------------------------------
CPU time used : 00:00:46.09
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 300000000, r = 25, Alpha = 0, Beta = 0.03125
-----------------------------------------------
Number of degrees of freedom : 434
Chi-square statistic : 525.67
p-value of test : 1.6e-3
-----------------------------------------------
CPU time used : 00:01:11.36
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.0078125
-----------------------------------------------
Number of degrees of freedom : 1437
Chi-square statistic : 1340.20
p-value of test : 0.97
-----------------------------------------------
CPU time used : 00:01:03.76
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 10000000, r = 20, Alpha = 0, Beta = 0.000976562
-----------------------------------------------
Number of degrees of freedom : 7046
Chi-square statistic : 7014.26
p-value of test : 0.60
-----------------------------------------------
CPU time used : 00:01:11.36
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_Run test:
-----------------------------------------------
N = 5, n = 1000000000, r = 0, Up = FALSE
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.30
p-value of test : 0.35
Kolmogorov-Smirnov- statistic = D- : 0.045
p-value of test : 0.95
Anderson-Darling statistic = A2 : 1.05
p-value of test : 0.33
Test on the sum of all N observations
Number of degrees of freedom : 30
Chi-square statistic : 22.97
p-value of test : 0.82
-----------------------------------------------
CPU time used : 00:00:52.03
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_Run test:
-----------------------------------------------
N = 10, n = 1000000000, r = 15, Up = TRUE
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.076
p-value of test : 0.85
Kolmogorov-Smirnov- statistic = D- : 0.22
p-value of test : 0.32
Anderson-Darling statistic = A2 : 0.66
p-value of test : 0.59
Test on the sum of all N observations
Number of degrees of freedom : 60
Chi-square statistic : 69.91
p-value of test : 0.18
-----------------------------------------------
CPU time used : 00:02:08.90
Generator state:
***********************************************************
Test sknuth_Permutation calling smultin_Multinomial
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_Multinomial test:
-----------------------------------------------
N = 1, n = 1000000000, r = 5, t = 3,
Sparse = FALSE
GenerCell = smultin_GenerCellPermut
Number of cells = t! = 6
Expected number per cell = 1.6666667e+08
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 2.5000002e-09, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Number of degrees of freedom : 5
Value of the statistic : 5.60
p-value of test : 0.35
-----------------------------------------------
CPU time used : 00:00:39.11
Generator state:
***********************************************************
Test sknuth_Permutation calling smultin_Multinomial
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_Multinomial test:
-----------------------------------------------
N = 1, n = 1000000000, r = 5, t = 5,
Sparse = FALSE
GenerCell = smultin_GenerCellPermut
Number of cells = t! = 120
Expected number per cell = 8333333.3
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 5.9500005e-08, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Number of degrees of freedom : 119
Value of the statistic : 100.33
p-value of test : 0.89
-----------------------------------------------
CPU time used : 00:01:08.11
Generator state:
***********************************************************
Test sknuth_Permutation calling smultin_Multinomial
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_Multinomial test:
-----------------------------------------------
N = 1, n = 500000000, r = 5, t = 7,
Sparse = FALSE
GenerCell = smultin_GenerCellPermut
Number of cells = t! = 5040
Expected number per cell = 99206.349
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 5.0390004e-06, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Number of degrees of freedom : 5039
Value of the statistic : 5046.03
p-value of test : 0.47
-----------------------------------------------
CPU time used : 00:00:54.05
Generator state:
***********************************************************
Test sknuth_Permutation calling smultin_Multinomial
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_Multinomial test:
-----------------------------------------------
N = 1, n = 500000000, r = 10, t = 10,
Sparse = FALSE
GenerCell = smultin_GenerCellPermut
Number of cells = t! = 3628800
Expected number per cell = 137.7866
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 0.0036287993, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Number of degrees of freedom : 3628799
Value of the statistic : 3.63e+6
p-value of test : 0.91
-----------------------------------------------
CPU time used : 00:02:10.92
Generator state:
***********************************************************
Test sknuth_CollisionPermut calling smultin_Multinomial
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_Multinomial test:
-----------------------------------------------
N = 20, n = 20000000, r = 0, t = 14,
Sparse = TRUE
GenerCell = smultin_GenerCellPermut
Number of cells = t! = 87178291200
Expected number per cell = 1 / 4358.9146
EColl = n^2 / (2k) = 2294.14912
Hashing = TRUE
Collision test, Mu = 2293.9736, Sigma = 47.8841
-----------------------------------------------
Test Results for Collisions
For the total number of collisions, we use
the Poisson approximation:
Expected number of collisions = N*Mu : 45879.47
Observed number of collisions : 46312
p-value of test : 0.02
-----------------------------
Total number of cells containing j balls
j = 0 : 1743165870312
j = 1 : 399907377
j = 2 : 46310
j = 3 : 1
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:03:27.05
Generator state:
***********************************************************
Test sknuth_CollisionPermut calling smultin_Multinomial
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_Multinomial test:
-----------------------------------------------
N = 20, n = 20000000, r = 10, t = 14,
Sparse = TRUE
GenerCell = smultin_GenerCellPermut
Number of cells = t! = 87178291200
Expected number per cell = 1 / 4358.9146
EColl = n^2 / (2k) = 2294.14912
Hashing = TRUE
Collision test, Mu = 2293.9736, Sigma = 47.8841
-----------------------------------------------
Test Results for Collisions
For the total number of collisions, we use
the Poisson approximation:
Expected number of collisions = N*Mu : 45879.47
Observed number of collisions : 45965
p-value of test : 0.35
-----------------------------
Total number of cells containing j balls
j = 0 : 1743165869965
j = 1 : 399908073
j = 2 : 45959
j = 3 : 3
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:03:33.18
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_MaxOft test:
-----------------------------------------------
N = 40, n = 10000000, r = 0, d = 100000, t = 8
Number of categories = 100000
Expected number per category = 100.00
-----------------------------------------------
Test results for chi2 with 99999 degrees of freedom:
Kolmogorov-Smirnov+ statistic = D+ : 0.058
p-value of test : 0.74
Kolmogorov-Smirnov- statistic = D- : 0.18
p-value of test : 0.07
Anderson-Darling statistic = A2 : 1.81
p-value of test : 0.12
Test on the sum of all N observations
Number of degrees of freedom : 3999960
Chi-square statistic : 4.00e+6
p-value of test : 0.08
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.10
p-value of test : 0.40
Kolmogorov-Smirnov- statistic = D- : 0.16
p-value of test : 0.12
Anderson-Darling statistic = A2 : 1.03
p-value of test : 0.34
-----------------------------------------------
CPU time used : 00:01:55.67
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_MaxOft test:
-----------------------------------------------
N = 30, n = 10000000, r = 0, d = 100000, t = 16
Number of categories = 100000
Expected number per category = 100.00
-----------------------------------------------
Test results for chi2 with 99999 degrees of freedom:
Kolmogorov-Smirnov+ statistic = D+ : 0.081
p-value of test : 0.64
Kolmogorov-Smirnov- statistic = D- : 0.16
p-value of test : 0.20
Anderson-Darling statistic = A2 : 0.90
p-value of test : 0.41
Test on the sum of all N observations
Number of degrees of freedom : 2999970
Chi-square statistic : 3.00e+6
p-value of test : 0.19
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.046
p-value of test : 0.86
Kolmogorov-Smirnov- statistic = D- : 0.18
p-value of test : 0.12
Anderson-Darling statistic = A2 : 0.83
p-value of test : 0.46
-----------------------------------------------
CPU time used : 00:01:38.68
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_MaxOft test:
-----------------------------------------------
N = 20, n = 10000000, r = 0, d = 100000, t = 24
Number of categories = 100000
Expected number per category = 100.00
-----------------------------------------------
Test results for chi2 with 99999 degrees of freedom:
Kolmogorov-Smirnov+ statistic = D+ : 0.088
p-value of test : 0.69
Kolmogorov-Smirnov- statistic = D- : 0.19
p-value of test : 0.20
Anderson-Darling statistic = A2 : 0.72
p-value of test : 0.54
Test on the sum of all N observations
Number of degrees of freedom : 1999980
Chi-square statistic : 2.00e+6
p-value of test : 0.28
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.32
p-value of test : 0.01
Kolmogorov-Smirnov- statistic = D- : 0.031
p-value of test : 0.95
Anderson-Darling statistic = A2 : 3.76
p-value of test : 0.01
-----------------------------------------------
CPU time used : 00:01:14.81
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_MaxOft test:
-----------------------------------------------
N = 20, n = 10000000, r = 0, d = 100000, t = 32
Number of categories = 100000
Expected number per category = 100.00
-----------------------------------------------
Test results for chi2 with 99999 degrees of freedom:
Kolmogorov-Smirnov+ statistic = D+ : 0.11
p-value of test : 0.56
Kolmogorov-Smirnov- statistic = D- : 0.085
p-value of test : 0.71
Anderson-Darling statistic = A2 : 0.40
p-value of test : 0.85
Test on the sum of all N observations
Number of degrees of freedom : 1999980
Chi-square statistic : 2.00e+6
p-value of test : 0.71
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.093
p-value of test : 0.67
Kolmogorov-Smirnov- statistic = D- : 0.24
p-value of test : 0.08
Anderson-Darling statistic = A2 : 1.29
p-value of test : 0.23
-----------------------------------------------
CPU time used : 00:01:24.76
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_SampleProd test:
-----------------------------------------------
N = 40, n = 10000000, r = 0, t = 8
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.23
p-value of test : 0.01
Kolmogorov-Smirnov- statistic = D- : 0.028
p-value of test : 0.92
Anderson-Darling statistic = A2 : 2.43
p-value of test : 0.05
-----------------------------------------------
CPU time used : 00:01:23.39
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_SampleProd test:
-----------------------------------------------
N = 20, n = 10000000, r = 0, t = 16
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.11
p-value of test : 0.58
Kolmogorov-Smirnov- statistic = D- : 0.14
p-value of test : 0.44
Anderson-Darling statistic = A2 : 0.28
p-value of test : 0.95
-----------------------------------------------
CPU time used : 00:00:55.14
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_SampleProd test:
-----------------------------------------------
N = 20, n = 10000000, r = 0, t = 24
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.090
p-value of test : 0.69
Kolmogorov-Smirnov- statistic = D- : 0.22
p-value of test : 0.13
Anderson-Darling statistic = A2 : 1.18
p-value of test : 0.28
-----------------------------------------------
CPU time used : 00:01:09.53
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_SampleMean test:
-----------------------------------------------
N = 20000000, n = 30, r = 0
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 4.92e-5
p-value of test : 0.91
Kolmogorov-Smirnov- statistic = D- : 3.44e-4
p-value of test : 8.8e-3
Anderson-Darling statistic = A2 : 5.55
p-value of test : 1.6e-3
-----------------------------------------------
CPU time used : 00:00:20.32
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_SampleMean test:
-----------------------------------------------
N = 20000000, n = 30, r = 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 2.89e-4
p-value of test : 0.04
Kolmogorov-Smirnov- statistic = D- : 1.41e-5
p-value of test : 0.9921
Anderson-Darling statistic = A2 : 2.93
p-value of test : 0.03
-----------------------------------------------
CPU time used : 00:00:20.72
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_SampleCorr test:
-----------------------------------------------
N = 1, n = 2000000000, r = 0, k = 1
-----------------------------------------------
Normal statistic : -0.91
p-value of test : 0.82
-----------------------------------------------
CPU time used : 00:00:13.56
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_SampleCorr test:
-----------------------------------------------
N = 1, n = 2000000000, r = 0, k = 2
-----------------------------------------------
Normal statistic : 1.03
p-value of test : 0.15
-----------------------------------------------
CPU time used : 00:00:14.31
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_AppearanceSpacings test:
-----------------------------------------------
N = 1, Q = 10000000, K = 1000000000, r = 0, s = 3, L = 15
Sequences of n = (K + Q)L = 15150000000 bits
Q = 10000000 initialization blocks
K = 1000000000 blocks for the test
the blocks have L = 15 bits
-----------------------------------------------
Normal statistic : -1.04
p-value of test : 0.85
-----------------------------------------------
CPU time used : 00:00:59.35
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_AppearanceSpacings test:
-----------------------------------------------
N = 1, Q = 10000000, K = 1000000000, r = 27, s = 3, L = 15
Sequences of n = (K + Q)L = 15150000000 bits
Q = 10000000 initialization blocks
K = 1000000000 blocks for the test
the blocks have L = 15 bits
-----------------------------------------------
Normal statistic : -0.011
p-value of test : 0.50
-----------------------------------------------
CPU time used : 00:01:01.63
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_WeightDistrib test:
-----------------------------------------------
N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, Beta = 0.25
-----------------------------------------------
Number of degrees of freedom : 67
Chi-square statistic : 67.62
p-value of test : 0.46
-----------------------------------------------
CPU time used : 00:00:24.65
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_WeightDistrib test:
-----------------------------------------------
N = 1, n = 20000000, r = 20, k = 256, Alpha = 0, Beta = 0.25
-----------------------------------------------
Number of degrees of freedom : 67
Chi-square statistic : 49.84
p-value of test : 0.94
-----------------------------------------------
CPU time used : 00:00:35.40
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_WeightDistrib test:
-----------------------------------------------
N = 1, n = 20000000, r = 28, k = 256, Alpha = 0, Beta = 0.25
-----------------------------------------------
Number of degrees of freedom : 67
Chi-square statistic : 67.29
p-value of test : 0.47
-----------------------------------------------
CPU time used : 00:00:35.40
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_WeightDistrib test:
-----------------------------------------------
N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, Beta = 0.0625
-----------------------------------------------
Number of degrees of freedom : 37
Chi-square statistic : 49.37
p-value of test : 0.08
-----------------------------------------------
CPU time used : 00:00:24.65
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_WeightDistrib test:
-----------------------------------------------
N = 1, n = 20000000, r = 10, k = 256, Alpha = 0, Beta = 0.0625
-----------------------------------------------
Number of degrees of freedom : 37
Chi-square statistic : 30.31
p-value of test : 0.77
-----------------------------------------------
CPU time used : 00:00:35.40
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_WeightDistrib test:
-----------------------------------------------
N = 1, n = 20000000, r = 26, k = 256, Alpha = 0, Beta = 0.0625
-----------------------------------------------
Number of degrees of freedom : 37
Chi-square statistic : 50.95
p-value of test : 0.06
-----------------------------------------------
CPU time used : 00:00:35.40
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_SumCollector test:
-----------------------------------------------
N = 1, n = 500000000, r = 0, g = 10
-----------------------------------------------
Number of degrees of freedom : 29
Chi-square statistic : 32.05
p-value of test : 0.32
-----------------------------------------------
CPU time used : 00:00:58.43
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_MatrixRank test:
-----------------------------------------------
N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.088
p-value of test : 0.81
Kolmogorov-Smirnov- statistic = D- : 0.12
p-value of test : 0.68
Anderson-Darling statistic = A2 : 0.20
p-value of test : 0.9914
Test on the sum of all N observations
Number of degrees of freedom : 40
Chi-square statistic : 40.32
p-value of test : 0.46
-----------------------------------------------
CPU time used : 00:00:53.42
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_MatrixRank test:
-----------------------------------------------
N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.17
p-value of test : 0.49
Kolmogorov-Smirnov- statistic = D- : 0.27
p-value of test : 0.20
Anderson-Darling statistic = A2 : 1.27
p-value of test : 0.24
Test on the sum of all N observations
Number of degrees of freedom : 40
Chi-square statistic : 48.58
p-value of test : 0.17
-----------------------------------------------
CPU time used : 00:00:53.43
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 5000, r = 0, s = 4, L = 1000, k = 1000
-----------------------------------------------
Number of degrees of freedom : 3
Chi-square statistic : 8.84
p-value of test : 0.03
-----------------------------------------------
CPU time used : 00:01:43.31
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000
-----------------------------------------------
Number of degrees of freedom : 3
Chi-square statistic : 1.80
p-value of test : 0.62
-----------------------------------------------
CPU time used : 00:01:43.47
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 80, r = 15, s = 15, L = 5000, k = 5000
-----------------------------------------------
Number of degrees of freedom : 2
Chi-square statistic : 3.12
p-value of test : 0.21
-----------------------------------------------
CPU time used : 00:01:08.43
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5000
-----------------------------------------------
Number of degrees of freedom : 2
Chi-square statistic : 2.16
p-value of test : 0.34
-----------------------------------------------
CPU time used : 00:00:53.84
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_Savir2 test:
-----------------------------------------------
N = 10, n = 10000000, r = 10, m = 1048576, t = 30
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.18
p-value of test : 0.47
Kolmogorov-Smirnov- statistic = D- : 0.19
p-value of test : 0.45
Anderson-Darling statistic = A2 : 0.84
p-value of test : 0.45
Test on the sum of all N observations
Number of degrees of freedom : 130
Chi-square statistic : 141.87
p-value of test : 0.22
-----------------------------------------------
CPU time used : 00:00:19.69
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_GCD test:
-----------------------------------------------
N = 10, n = 50000000, r = 0, s = 30
-----------------------------------------------
Test results for GCD values:
Kolmogorov-Smirnov+ statistic = D+ : 0.24
p-value of test : 0.27
Kolmogorov-Smirnov- statistic = D- : 0.25
p-value of test : 0.23
Anderson-Darling statistic = A2 : 0.96
p-value of test : 0.38
Test on the sum of all N observations
Number of degrees of freedom : 17430
Chi-square statistic :17424.05
p-value of test : 0.51
-----------------------------------------------
CPU time used : 00:01:28.03
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 100000000, r = 0, s = 5, L0 = 50, L1 = 50
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 36
ChiSquare statistic : 39.67
p-value of test : 0.31
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 35
ChiSquare statistic : 34.46
p-value of test : 0.49
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 25
ChiSquare statistic : 28.71
p-value of test : 0.28
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 24
ChiSquare statistic : 35.40
p-value of test : 0.06
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 17
ChiSquare statistic : 19.45
p-value of test : 0.30
-----------------------------------------------
CPU time used : 00:00:29.96
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 100000000, r = 25, s = 5, L0 = 50, L1 = 50
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 36
ChiSquare statistic : 20.54
p-value of test : 0.98
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 35
ChiSquare statistic : 24.34
p-value of test : 0.91
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 25
ChiSquare statistic : 19.98
p-value of test : 0.75
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 24
ChiSquare statistic : 20.67
p-value of test : 0.66
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 17
ChiSquare statistic : 19.62
p-value of test : 0.29
-----------------------------------------------
CPU time used : 00:00:30.38
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 10000000, r = 0, s = 10, L0 = 1000, L1 = 1000
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 146
ChiSquare statistic : 174.90
p-value of test : 0.05
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 146
ChiSquare statistic : 136.73
p-value of test : 0.70
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 500
ChiSquare statistic : 500.16
p-value of test : 0.49
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 136
ChiSquare statistic : 118.58
p-value of test : 0.86
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 74
ChiSquare statistic : 93.63
p-value of test : 0.06
-----------------------------------------------
CPU time used : 00:00:37.93
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 10000000, r = 20, s = 10, L0 = 1000, L1 = 1000
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 146
ChiSquare statistic : 135.04
p-value of test : 0.73
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 146
ChiSquare statistic : 123.31
p-value of test : 0.91
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 500
ChiSquare statistic : 505.38
p-value of test : 0.42
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 136
ChiSquare statistic : 143.44
p-value of test : 0.31
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 74
ChiSquare statistic : 72.08
p-value of test : 0.54
-----------------------------------------------
CPU time used : 00:00:38.15
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 1000000, r = 0, s = 15, L0 = 10000, L1 = 10000
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 384
ChiSquare statistic : 400.45
p-value of test : 0.27
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 384
ChiSquare statistic : 332.59
p-value of test : 0.97
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 5000
ChiSquare statistic : 4853.11
p-value of test : 0.93
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 378
ChiSquare statistic : 331.16
p-value of test : 0.96
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 200
ChiSquare statistic : 187.94
p-value of test : 0.72
-----------------------------------------------
CPU time used : 00:00:31.78
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 1000000, r = 15, s = 15, L0 = 10000, L1 = 10000
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 384
ChiSquare statistic : 372.83
p-value of test : 0.65
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 384
ChiSquare statistic : 389.27
p-value of test : 0.42
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 5000
ChiSquare statistic : 4967.59
p-value of test : 0.62
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 378
ChiSquare statistic : 419.12
p-value of test : 0.07
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 200
ChiSquare statistic : 191.47
p-value of test : 0.66
-----------------------------------------------
CPU time used : 00:00:31.81
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
scomp_LinearComp test:
-----------------------------------------------
N = 1, n = 400020, r = 0, s = 1
-----------------------------------------------
Number of degrees of freedom : 12
Chi2 statistic for size of jumps : 20.48
p-value of test : 0.06
-----------------------------------------------
Normal statistic for number of jumps : 0.94
p-value of test : 0.17
-----------------------------------------------
CPU time used : 00:01:33.06
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
scomp_LinearComp test:
-----------------------------------------------
N = 1, n = 400020, r = 29, s = 1
-----------------------------------------------
Number of degrees of freedom : 12
Chi2 statistic for size of jumps : 17.68
p-value of test : 0.13
-----------------------------------------------
Normal statistic for number of jumps : -444.79
p-value of test : 1 - eps1 *****
-----------------------------------------------
CPU time used : 00:00:00.21
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
scomp_LempelZiv test:
-----------------------------------------------
N = 10, n = 134217728, r = 0, s = 30, k = 27
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.27
p-value of test : 0.18
Kolmogorov-Smirnov- statistic = D- : 0.14
p-value of test : 0.64
Anderson-Darling statistic = A2 : 0.53
p-value of test : 0.72
Tests on the sum of all N observations
Standardized normal statistic : -0.26
p-value of test : 0.60
Sample variance : 0.91
p-value of test : 0.52
-----------------------------------------------
CPU time used : 00:00:52.40
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
scomp_LempelZiv test:
-----------------------------------------------
N = 10, n = 134217728, r = 15, s = 15, k = 27
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.31
p-value of test : 0.12
Kolmogorov-Smirnov- statistic = D- : 0.23
p-value of test : 0.31
Anderson-Darling statistic = A2 : 1.15
p-value of test : 0.28
Tests on the sum of all N observations
Standardized normal statistic : 0.42
p-value of test : 0.34
Sample variance : 1.69
p-value of test : 0.09
-----------------------------------------------
CPU time used : 00:00:54.01
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sspectral_Fourier3 test:
-----------------------------------------------
N = 100000, n = 16384, r = 0, s = 3, k = 14
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 8.10e-3
p-value of test : 0.58
Kolmogorov-Smirnov- statistic = D- : 0.012
p-value of test : 0.33
Anderson-Darling statistic = A2 : 0.75
p-value of test : 0.52
-----------------------------------------------
CPU time used : 00:00:32.17
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sspectral_Fourier3 test:
-----------------------------------------------
N = 100000, n = 16384, r = 27, s = 3, k = 14
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 8.99e-3
p-value of test : 0.51
Kolmogorov-Smirnov- statistic = D- : 0.013
p-value of test : 0.24
Anderson-Darling statistic = A2 : 1.04
p-value of test : 0.34
-----------------------------------------------
CPU time used : 00:00:30.61
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_LongestHeadRun test:
-----------------------------------------------
N = 1, n = 1000, r = 0, s = 3, L = 10000020
-----------------------------------------------
Number of degrees of freedom : 8
Chi-square statistic : 7.28
p-value of test : 0.51
-----------------------------------------------
Global longest run of 1 : 31.00
p-value of test : 0.69
-----------------------------------------------
CPU time used : 00:01:07.92
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_LongestHeadRun test:
-----------------------------------------------
N = 1, n = 1000, r = 27, s = 3, L = 10000020
-----------------------------------------------
Number of degrees of freedom : 8
Chi-square statistic : 11.21
p-value of test : 0.19
-----------------------------------------------
Global longest run of 1 : 31.00
p-value of test : 0.69
-----------------------------------------------
CPU time used : 00:01:09.65
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_PeriodsInStrings test:
-----------------------------------------------
N = 10, n = 500000000, r = 0, s = 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.028
p-value of test : 0.96
Kolmogorov-Smirnov- statistic = D- : 0.32
p-value of test : 0.11
Anderson-Darling statistic = A2 : 1.81
p-value of test : 0.12
Test on the sum of all N observations
Number of degrees of freedom : 200
Chi-square statistic : 241.25
p-value of test : 0.02
-----------------------------------------------
CPU time used : 00:01:38.82
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_PeriodsInStrings test:
-----------------------------------------------
N = 10, n = 500000000, r = 20, s = 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.44
p-value of test : 0.01
Kolmogorov-Smirnov- statistic = D- : 0.092
p-value of test : 0.80
Anderson-Darling statistic = A2 : 2.45
p-value of test : 0.05
Test on the sum of all N observations
Number of degrees of freedom : 200
Chi-square statistic : 163.78
p-value of test : 0.97
-----------------------------------------------
CPU time used : 00:01:39.17
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingWeight2 test:
-----------------------------------------------
N = 10, n = 1000000000, r = 0, s = 3, L = 1000000
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.37
p-value of test : 0.05
Kolmogorov-Smirnov- statistic = D- : 0.059
p-value of test : 0.90
Anderson-Darling statistic = A2 : 2.23
p-value of test : 0.07
Test on the sum of all N observations
Number of degrees of freedom : 10000
Chi-square statistic : 9727.62
p-value of test : 0.97
-----------------------------------------------
CPU time used : 00:00:37.18
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingWeight2 test:
-----------------------------------------------
N = 10, n = 1000000000, r = 27, s = 3, L = 1000000
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.25
p-value of test : 0.26
Kolmogorov-Smirnov- statistic = D- : 0.12
p-value of test : 0.71
Anderson-Darling statistic = A2 : 0.55
p-value of test : 0.69
Test on the sum of all N observations
Number of degrees of freedom : 10000
Chi-square statistic : 9946.74
p-value of test : 0.65
-----------------------------------------------
CPU time used : 00:00:38.46
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 1000000000, r = 10, s = 10, L = 30
-----------------------------------------------
Normal statistic : -0.043
p-value of test : 0.52
-----------------------------------------------
CPU time used : 00:00:48.71
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 100000000, r = 10, s = 10, L = 300
-----------------------------------------------
Normal statistic : -1.37
p-value of test : 0.91
-----------------------------------------------
CPU time used : 00:00:46.72
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 100000000, r = 10, s = 10, L = 1200
-----------------------------------------------
Normal statistic : 0.98
p-value of test : 0.16
-----------------------------------------------
CPU time used : 00:03:04.64
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingIndep test:
-----------------------------------------------
N = 10, n = 30000000, r = 0, s = 3, L = 30, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.20
p-value of test : 0.40
Kolmogorov-Smirnov- statistic = D- : 0.054
p-value of test : 0.91
Anderson-Darling statistic = A2 : 0.78
p-value of test : 0.49
Test on the sum of all N observations
Number of degrees of freedom : 4890
Chi-square statistic : 4789.12
p-value of test : 0.85
-----------------------------------------------
CPU time used : 00:01:13.19
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingIndep test:
-----------------------------------------------
N = 10, n = 30000000, r = 27, s = 3, L = 30, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.070
p-value of test : 0.87
Kolmogorov-Smirnov- statistic = D- : 0.31
p-value of test : 0.12
Anderson-Darling statistic = A2 : 0.95
p-value of test : 0.38
Test on the sum of all N observations
Number of degrees of freedom : 4890
Chi-square statistic : 4984.25
p-value of test : 0.17
-----------------------------------------------
CPU time used : 00:01:16.18
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 30000000, r = 0, s = 4, L = 300, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 4117
Chi-square statistic : 4138.93
p-value of test : 0.40
-----------------------------------------------
CPU time used : 00:00:53.68
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 30000000, r = 26, s = 4, L = 300, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 4117
Chi-square statistic : 4186.26
p-value of test : 0.22
-----------------------------------------------
CPU time used : 00:00:55.89
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 10000000, r = 0, s = 5, L = 1200, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 11825
Chi-square statistic :12047.00
p-value of test : 0.08
-----------------------------------------------
CPU time used : 00:00:59.97
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 10000000, r = 25, s = 5, L = 1200, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 11825
Chi-square statistic :11898.88
p-value of test : 0.31
-----------------------------------------------
CPU time used : 00:01:02.10
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_Run test:
-----------------------------------------------
N = 1, n = 2000000000, r = 0, s = 3
-----------------------------------------------
Total number of 1 runs: 2000000001
Number of degrees of freedom : 54
Chi2 statistic for number of runs : 44.85
p-value of test : 0.81
-----------------------------------------------
Total number of bits: 8000034561
Normal statistic for number of bits : 0.27
p-value of test : 0.39
-----------------------------------------------
CPU time used : 00:00:51.50
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_Run test:
-----------------------------------------------
N = 1, n = 2000000000, r = 27, s = 3
-----------------------------------------------
Total number of 1 runs: 2000000000
Number of degrees of freedom : 54
Chi2 statistic for number of runs : 62.63
p-value of test : 0.20
-----------------------------------------------
Total number of bits: 7999939059
Normal statistic for number of bits : -0.48
p-value of test : 0.69
-----------------------------------------------
CPU time used : 00:00:52.72
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_AutoCor test:
-----------------------------------------------
N = 10, n = 1000000030, r = 0, s = 3, d = 1
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.13
p-value of test : 0.66
Kolmogorov-Smirnov- statistic = D- : 0.21
p-value of test : 0.35
Anderson-Darling statistic = A2 : 0.63
p-value of test : 0.62
Tests on the sum of all N observations
Standardized normal statistic : 0.71
p-value of test : 0.24
Sample variance : 1.61
p-value of test : 0.11
-----------------------------------------------
CPU time used : 00:01:59.22
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_AutoCor test:
-----------------------------------------------
N = 10, n = 1000000029, r = 0, s = 3, d = 3
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.27
p-value of test : 0.20
Kolmogorov-Smirnov- statistic = D- : 0.29
p-value of test : 0.16
Anderson-Darling statistic = A2 : 1.08
p-value of test : 0.32
Tests on the sum of all N observations
Standardized normal statistic : 0.13
p-value of test : 0.45
Sample variance : 0.39
p-value of test : 0.94
-----------------------------------------------
CPU time used : 00:01:44.36
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_AutoCor test:
-----------------------------------------------
N = 10, n = 1000000030, r = 27, s = 3, d = 1
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.22
p-value of test : 0.32
Kolmogorov-Smirnov- statistic = D- : 0.31
p-value of test : 0.12
Anderson-Darling statistic = A2 : 1.49
p-value of test : 0.18
Tests on the sum of all N observations
Standardized normal statistic : 0.30
p-value of test : 0.38
Sample variance : 2.21
p-value of test : 0.02
-----------------------------------------------
CPU time used : 00:01:59.65
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_AutoCor test:
-----------------------------------------------
N = 10, n = 1000000029, r = 27, s = 3, d = 3
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.15
p-value of test : 0.58
Kolmogorov-Smirnov- statistic = D- : 0.11
p-value of test : 0.74
Anderson-Darling statistic = A2 : 0.28
p-value of test : 0.95
Tests on the sum of all N observations
Standardized normal statistic : -0.40
p-value of test : 0.66
Sample variance : 0.93
p-value of test : 0.50
-----------------------------------------------
CPU time used : 00:01:45.90
Generator state:
========= Summary results of BigCrush =========
Version: TestU01 1.2.3
Generator: xorshift1024star lsb 32-bits
Number of statistics: 160
Total CPU time: 02:17:20.34
The following tests gave p-values outside [0.001, 0.9990]:
(eps means a value < 1.0e-300):
(eps1 means a value < 1.0e-15):
Test p-value
----------------------------------------------
81 LinearComp, r = 29 1 - eps1
----------------------------------------------
All other tests were passed