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==seed: 412451
==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 : 0.78
-----------------------------------------------
CPU time used : 00:00:49.07
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 : 0.73
-----------------------------------------------
CPU time used : 00:00:51.12
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 : 1448
p-value of test : 0.01
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334568
j = 1 : 599997104
j = 2 : 1448
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:01:46.68
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 : 1356
p-value of test : 0.58
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334476
j = 1 : 599997288
j = 2 : 1356
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:01:50.41
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 : 1377
p-value of test : 0.37
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334497
j = 1 : 599997246
j = 2 : 1377
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:15.60
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 : 1353
p-value of test : 0.61
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334473
j = 1 : 599997294
j = 2 : 1353
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:16.58
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 : 1339
p-value of test : 0.75
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334459
j = 1 : 599997322
j = 2 : 1339
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:17.92
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 : 1378
p-value of test : 0.36
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334498
j = 1 : 599997244
j = 2 : 1378
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 = 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 : 1445
p-value of test : 0.02
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334565
j = 1 : 599997110
j = 2 : 1445
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:17.61
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 : 1382
p-value of test : 0.32
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334502
j = 1 : 599997236
j = 2 : 1382
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:18.99
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 : 1386
p-value of test : 0.28
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334506
j = 1 : 599997228
j = 2 : 1386
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:16.27
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 : 1396
p-value of test : 0.20
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334516
j = 1 : 599997208
j = 2 : 1396
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:17.95
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 : 5378
p-value of test : 0.72
-----------------------------------------------
CPU time used : 00:02:58.75
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 : 4314
p-value of test : 0.63
-----------------------------------------------
CPU time used : 00:01:16.23
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 : 7161
p-value of test : 0.97
-----------------------------------------------
CPU time used : 00:02:02.35
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 : 4430
p-value of test : 0.08
-----------------------------------------------
CPU time used : 00:01:24.97
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 : 4345
p-value of test : 0.45
-----------------------------------------------
CPU time used : 00:01:28.25
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 : 7376
p-value of test : 0.25
-----------------------------------------------
CPU time used : 00:02:18.51
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 : 7326
p-value of test : 0.47
-----------------------------------------------
CPU time used : 00:02:18.40
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 : 7386
p-value of test : 0.22
-----------------------------------------------
CPU time used : 00:02:43.05
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 : 7253
p-value of test : 0.78
-----------------------------------------------
CPU time used : 00:02:53.21
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) : 0.46
p-value of test : 0.78
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) : 2.46
p-value of test : 0.05
Test on the Nm values of W_{n,i}(mNP1): 0.34
p-value of test : 0.90
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 900
Number of jumps of Y : 913
p-value of test : 0.34
Stat. AD (mNP2) : 0.44
p-value of test : 0.81
Stat. AD after spacings (mNP2-S) : 0.94
p-value of test : 0.39
-----------------------------------------------
CPU time used : 00:01:43.98
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) : 1.36
p-value of test : 0.21
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) : 1.08
p-value of test : 0.32
Test on the Nm values of W_{n,i}(mNP1): 0.27
p-value of test : 0.96
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 600
Number of jumps of Y : 592
p-value of test : 0.62
Stat. AD (mNP2) : 0.95
p-value of test : 0.38
Stat. AD after spacings (mNP2-S) : 2.22
p-value of test : 0.07
-----------------------------------------------
CPU time used : 00:01:10.23
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) : 0.84
p-value of test : 0.45
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) : 2.64
p-value of test : 0.04
Test on the Nm values of W_{n,i}(mNP1): 1.05
p-value of test : 0.33
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 300
Number of jumps of Y : 289
p-value of test : 0.73
Stat. AD (mNP2) : 1.37
p-value of test : 0.21
Stat. AD after spacings (mNP2-S) : 1.87
p-value of test : 0.11
-----------------------------------------------
CPU time used : 00:02:13.05
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) : 0.49
p-value of test : 0.75
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) : 1.62
p-value of test : 0.15
Test on the Nm values of W_{n,i}(mNP1): 1.12
p-value of test : 0.30
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 150
Number of jumps of Y : 167
p-value of test : 0.09
Stat. AD (mNP2) : 1.41
p-value of test : 0.20
Stat. AD after spacings (mNP2-S) : 0.73
p-value of test : 0.53
-----------------------------------------------
CPU time used : 00:02:32.67
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 : 11.30
p-value of test : 0.13
-----------------------------------------------
CPU time used : 00:00:56.88
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 : 10.92
p-value of test : 0.14
-----------------------------------------------
CPU time used : 00:01:05.28
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 : 27.72
p-value of test : 0.07
-----------------------------------------------
CPU time used : 00:00:38.96
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 : 14.49
p-value of test : 0.70
-----------------------------------------------
CPU time used : 00:00:46.69
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 : 51.62
p-value of test : 0.57
-----------------------------------------------
CPU time used : 00:00:44.73
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 : 46.57
p-value of test : 0.75
-----------------------------------------------
CPU time used : 00:00:53.17
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 : 42.26
p-value of test : 0.88
-----------------------------------------------
CPU time used : 00:00:53.13
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 : 47.76
p-value of test : 0.71
-----------------------------------------------
CPU time used : 00:00:53.17
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 : 214.71
p-value of test : 0.79
-----------------------------------------------
CPU time used : 00:00:46.13
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 : 387.27
p-value of test : 0.95
-----------------------------------------------
CPU time used : 00:01:11.40
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 : 1418.80
p-value of test : 0.63
-----------------------------------------------
CPU time used : 00:01:03.84
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 : 6988.42
p-value of test : 0.68
-----------------------------------------------
CPU time used : 00:01:11.30
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_Run test:
-----------------------------------------------
N = 5, n = 1000000000, r = 0, Up = FALSE
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.28
p-value of test : 0.40
Kolmogorov-Smirnov- statistic = D- : 0.19
p-value of test : 0.61
Anderson-Darling statistic = A2 : 0.76
p-value of test : 0.50
Test on the sum of all N observations
Number of degrees of freedom : 30
Chi-square statistic : 35.16
p-value of test : 0.24
-----------------------------------------------
CPU time used : 00:00:51.88
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_Run test:
-----------------------------------------------
N = 10, n = 1000000000, r = 15, Up = TRUE
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.16
p-value of test : 0.53
Kolmogorov-Smirnov- statistic = D- : 0.21
p-value of test : 0.36
Anderson-Darling statistic = A2 : 0.58
p-value of test : 0.66
Test on the sum of all N observations
Number of degrees of freedom : 60
Chi-square statistic : 59.67
p-value of test : 0.49
-----------------------------------------------
CPU time used : 00:02:08.19
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 : 2.43
p-value of test : 0.79
-----------------------------------------------
CPU time used : 00:00:38.01
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 : 107.67
p-value of test : 0.76
-----------------------------------------------
CPU time used : 00:01:07.03
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 : 5066.44
p-value of test : 0.39
-----------------------------------------------
CPU time used : 00:00:53.59
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 : 3.62e+6
p-value of test : 0.93
-----------------------------------------------
CPU time used : 00:02:11.22
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 : 46068
p-value of test : 0.19
-----------------------------
Total number of cells containing j balls
j = 0 : 1743165870068
j = 1 : 399907867
j = 2 : 46062
j = 3 : 3
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:03:25.56
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 : 45655
p-value of test : 0.85
-----------------------------
Total number of cells containing j balls
j = 0 : 1743165869655
j = 1 : 399908694
j = 2 : 45647
j = 3 : 4
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:03:32.03
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+ : 0.24
p-value of test : 9.7e-3
Kolmogorov-Smirnov- statistic = D- : 0.023
p-value of test : 0.94
Anderson-Darling statistic = A2 : 3.87
p-value of test : 0.01
Test on the sum of all N observations
Number of degrees of freedom : 3999960
Chi-square statistic : 3.99e+6
p-value of test : 0.9927
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.024
p-value of test : 0.94
Kolmogorov-Smirnov- statistic = D- : 0.17
p-value of test : 0.10
Anderson-Darling statistic = A2 : 1.20
p-value of test : 0.27
-----------------------------------------------
CPU time used : 00:01:54.14
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+ : 0.032
p-value of test : 0.92
Kolmogorov-Smirnov- statistic = D- : 0.15
p-value of test : 0.24
Anderson-Darling statistic = A2 : 0.97
p-value of test : 0.37
Test on the sum of all N observations
Number of degrees of freedom : 2999970
Chi-square statistic : 3.00e+6
p-value of test : 0.12
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.20
p-value of test : 0.09
Kolmogorov-Smirnov- statistic = D- : 0.086
p-value of test : 0.61
Anderson-Darling statistic = A2 : 1.41
p-value of test : 0.20
-----------------------------------------------
CPU time used : 00:01:38.28
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+ : 0.091
p-value of test : 0.68
Kolmogorov-Smirnov- statistic = D- : 0.12
p-value of test : 0.50
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 : 0.47
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.098
p-value of test : 0.64
Kolmogorov-Smirnov- statistic = D- : 0.25
p-value of test : 0.07
Anderson-Darling statistic = A2 : 0.96
p-value of test : 0.38
-----------------------------------------------
CPU time used : 00:01:13.81
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+ : 0.14
p-value of test : 0.43
Kolmogorov-Smirnov- statistic = D- : 0.12
p-value of test : 0.50
Anderson-Darling statistic = A2 : 0.43
p-value of test : 0.82
Test on the sum of all N observations
Number of degrees of freedom : 1999980
Chi-square statistic : 2.00e+6
p-value of test : 0.54
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.30
p-value of test : 0.02
Kolmogorov-Smirnov- statistic = D- : 0.076
p-value of test : 0.76
Anderson-Darling statistic = A2 : 2.04
p-value of test : 0.09
-----------------------------------------------
CPU time used : 00:01:23.39
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_SampleProd test:
-----------------------------------------------
N = 40, n = 10000000, r = 0, t = 8
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.053
p-value of test : 0.77
Kolmogorov-Smirnov- statistic = D- : 0.14
p-value of test : 0.20
Anderson-Darling statistic = A2 : 0.85
p-value of test : 0.44
-----------------------------------------------
CPU time used : 00:01:23.48
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_SampleProd test:
-----------------------------------------------
N = 20, n = 10000000, r = 0, t = 16
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.23
p-value of test : 0.10
Kolmogorov-Smirnov- statistic = D- : 0.019
p-value of test : 0.97
Anderson-Darling statistic = A2 : 0.92
p-value of test : 0.40
-----------------------------------------------
CPU time used : 00:00:55.27
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_SampleProd test:
-----------------------------------------------
N = 20, n = 10000000, r = 0, t = 24
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.034
p-value of test : 0.94
Kolmogorov-Smirnov- statistic = D- : 0.17
p-value of test : 0.29
Anderson-Darling statistic = A2 : 0.49
p-value of test : 0.76
-----------------------------------------------
CPU time used : 00:01:09.60
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_SampleMean test:
-----------------------------------------------
N = 20000000, n = 30, r = 0
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 1.67e-5
p-value of test : 0.99
Kolmogorov-Smirnov- statistic = D- : 2.73e-4
p-value of test : 0.05
Anderson-Darling statistic = A2 : 1.91
p-value of test : 0.10
-----------------------------------------------
CPU time used : 00:00:20.36
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_SampleMean test:
-----------------------------------------------
N = 20000000, n = 30, r = 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 2.40e-4
p-value of test : 0.10
Kolmogorov-Smirnov- statistic = D- : 1.19e-5
p-value of test : 0.9943
Anderson-Darling statistic = A2 : 1.79
p-value of test : 0.12
-----------------------------------------------
CPU time used : 00:00:20.78
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_SampleCorr test:
-----------------------------------------------
N = 1, n = 2000000000, r = 0, k = 1
-----------------------------------------------
Normal statistic : 0.14
p-value of test : 0.44
-----------------------------------------------
CPU time used : 00:00:13.57
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_SampleCorr test:
-----------------------------------------------
N = 1, n = 2000000000, r = 0, k = 2
-----------------------------------------------
Normal statistic : -0.21
p-value of test : 0.58
-----------------------------------------------
CPU time used : 00:00:14.32
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 : 0.058
p-value of test : 0.48
-----------------------------------------------
CPU time used : 00:00:59.31
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 : -1.38
p-value of test : 0.92
-----------------------------------------------
CPU time used : 00:01:01.61
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 : 70.88
p-value of test : 0.35
-----------------------------------------------
CPU time used : 00:00:24.71
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 : 45.42
p-value of test : 0.98
-----------------------------------------------
CPU time used : 00:00:35.48
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 : 73.01
p-value of test : 0.29
-----------------------------------------------
CPU time used : 00:00:35.43
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 : 35.73
p-value of test : 0.53
-----------------------------------------------
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 : 32.80
p-value of test : 0.67
-----------------------------------------------
CPU time used : 00:00:35.43
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 : 40.17
p-value of test : 0.33
-----------------------------------------------
CPU time used : 00:00:35.42
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 : 18.23
p-value of test : 0.94
-----------------------------------------------
CPU time used : 00:00:58.44
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+ : 0.23
p-value of test : 0.29
Kolmogorov-Smirnov- statistic = D- : 0.15
p-value of test : 0.57
Anderson-Darling statistic = A2 : 1.00
p-value of test : 0.35
Test on the sum of all N observations
Number of degrees of freedom : 40
Chi-square statistic : 43.23
p-value of test : 0.33
-----------------------------------------------
CPU time used : 00:00:53.43
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+ : 0.36
p-value of test : 0.06
Kolmogorov-Smirnov- statistic = D- : 0.091
p-value of test : 0.80
Anderson-Darling statistic = A2 : 2.01
p-value of test : 0.09
Test on the sum of all N observations
Number of degrees of freedom : 40
Chi-square statistic : 31.78
p-value of test : 0.82
-----------------------------------------------
CPU time used : 00:00:53.46
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 : 6.54
p-value of test : 0.09
-----------------------------------------------
CPU time used : 00:01:42.81
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 : 3.44
p-value of test : 0.33
-----------------------------------------------
CPU time used : 00:01:42.93
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 : 1.50
p-value of test : 0.47
-----------------------------------------------
CPU time used : 00:01:08.82
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 : 2.79
p-value of test : 0.25
-----------------------------------------------
CPU time used : 00:00:52.71
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 : 0.46
Kolmogorov-Smirnov- statistic = D- : 0.16
p-value of test : 0.56
Anderson-Darling statistic = A2 : 0.59
p-value of test : 0.65
Test on the sum of all N observations
Number of degrees of freedom : 130
Chi-square statistic : 132.26
p-value of test : 0.43
-----------------------------------------------
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+ : 0.15
p-value of test : 0.59
Kolmogorov-Smirnov- statistic = D- : 0.13
p-value of test : 0.65
Anderson-Darling statistic = A2 : 0.35
p-value of test : 0.89
Test on the sum of all N observations
Number of degrees of freedom : 17430
Chi-square statistic :17525.81
p-value of test : 0.30
-----------------------------------------------
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 : 38.61
p-value of test : 0.35
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 35
ChiSquare statistic : 28.59
p-value of test : 0.77
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 25
ChiSquare statistic : 24.02
p-value of test : 0.52
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 24
ChiSquare statistic : 20.17
p-value of test : 0.69
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 17
ChiSquare statistic : 20.68
p-value of test : 0.24
-----------------------------------------------
CPU time used : 00:00:29.93
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 : 32.41
p-value of test : 0.64
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 35
ChiSquare statistic : 32.57
p-value of test : 0.59
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 25
ChiSquare statistic : 14.56
p-value of test : 0.95
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 24
ChiSquare statistic : 23.21
p-value of test : 0.51
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 17
ChiSquare statistic : 17.12
p-value of test : 0.45
-----------------------------------------------
CPU time used : 00:00:30.35
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 : 133.21
p-value of test : 0.77
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 146
ChiSquare statistic : 159.83
p-value of test : 0.21
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 500
ChiSquare statistic : 550.02
p-value of test : 0.06
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 136
ChiSquare statistic : 162.49
p-value of test : 0.06
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 74
ChiSquare statistic : 65.73
p-value of test : 0.74
-----------------------------------------------
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 : 128.63
p-value of test : 0.85
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 146
ChiSquare statistic : 167.81
p-value of test : 0.10
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 500
ChiSquare statistic : 504.24
p-value of test : 0.44
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 136
ChiSquare statistic : 169.13
p-value of test : 0.03
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 74
ChiSquare statistic : 71.54
p-value of test : 0.56
-----------------------------------------------
CPU time used : 00:00:38.13
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 : 415.36
p-value of test : 0.13
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 384
ChiSquare statistic : 393.29
p-value of test : 0.36
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 5000
ChiSquare statistic : 5035.28
p-value of test : 0.36
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 378
ChiSquare statistic : 384.67
p-value of test : 0.40
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 200
ChiSquare statistic : 251.14
p-value of test : 8.2e-3
-----------------------------------------------
CPU time used : 00:00:31.73
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 : 323.60
p-value of test : 0.99
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 384
ChiSquare statistic : 472.83
p-value of test : 1.3e-3
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 5000
ChiSquare statistic : 5063.13
p-value of test : 0.26
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 378
ChiSquare statistic : 350.07
p-value of test : 0.85
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 200
ChiSquare statistic : 205.02
p-value of test : 0.39
-----------------------------------------------
CPU time used : 00:00:31.76
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 : 8.61
p-value of test : 0.74
-----------------------------------------------
Normal statistic for number of jumps : 0.29
p-value of test : 0.38
-----------------------------------------------
CPU time used : 00:01:33.75
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 : 19.23
p-value of test : 0.08
-----------------------------------------------
Normal statistic for number of jumps : -445.06
p-value of test : 1 - eps1 *****
-----------------------------------------------
CPU time used : 00:00:00.22
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+ : 0.21
p-value of test : 0.36
Kolmogorov-Smirnov- statistic = D- : 0.24
p-value of test : 0.27
Anderson-Darling statistic = A2 : 1.44
p-value of test : 0.19
Tests on the sum of all N observations
Standardized normal statistic : 0.40
p-value of test : 0.34
Sample variance : 2.44
p-value of test : 8.9e-3
-----------------------------------------------
CPU time used : 00:00:55.10
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+ : 0.22
p-value of test : 0.35
Kolmogorov-Smirnov- statistic = D- : 0.094
p-value of test : 0.79
Anderson-Darling statistic = A2 : 0.61
p-value of test : 0.63
Tests on the sum of all N observations
Standardized normal statistic : -0.52
p-value of test : 0.70
Sample variance : 1.63
p-value of test : 0.10
-----------------------------------------------
CPU time used : 00:00:52.05
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+ : 0.012
p-value of test : 0.32
Kolmogorov-Smirnov- statistic = D- : 0.011
p-value of test : 0.38
Anderson-Darling statistic = A2 : 0.54
p-value of test : 0.71
-----------------------------------------------
CPU time used : 00:00:31.71
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+ : 5.22e-3
p-value of test : 0.80
Kolmogorov-Smirnov- statistic = D- : 0.015
p-value of test : 0.15
Anderson-Darling statistic = A2 : 1.25
p-value of test : 0.25
-----------------------------------------------
CPU time used : 00:00:30.60
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 : 11.41
p-value of test : 0.18
-----------------------------------------------
Global longest run of 1 : 32.00
p-value of test : 0.50
-----------------------------------------------
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 : 5.38
p-value of test : 0.72
-----------------------------------------------
Global longest run of 1 : 32.00
p-value of test : 0.50
-----------------------------------------------
CPU time used : 00:01:09.60
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_PeriodsInStrings test:
-----------------------------------------------
N = 10, n = 500000000, r = 0, s = 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.22
p-value of test : 0.32
Kolmogorov-Smirnov- statistic = D- : 0.11
p-value of test : 0.72
Anderson-Darling statistic = A2 : 0.61
p-value of test : 0.64
Test on the sum of all N observations
Number of degrees of freedom : 200
Chi-square statistic : 187.22
p-value of test : 0.73
-----------------------------------------------
CPU time used : 00:01:38.32
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_PeriodsInStrings test:
-----------------------------------------------
N = 10, n = 500000000, r = 20, s = 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.21
p-value of test : 0.37
Kolmogorov-Smirnov- statistic = D- : 0.27
p-value of test : 0.21
Anderson-Darling statistic = A2 : 0.99
p-value of test : 0.36
Test on the sum of all N observations
Number of degrees of freedom : 200
Chi-square statistic : 214.87
p-value of test : 0.22
-----------------------------------------------
CPU time used : 00:01:39.13
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+ : 0.26
p-value of test : 0.22
Kolmogorov-Smirnov- statistic = D- : 0.15
p-value of test : 0.57
Anderson-Darling statistic = A2 : 0.97
p-value of test : 0.37
Test on the sum of all N observations
Number of degrees of freedom : 10000
Chi-square statistic : 9857.02
p-value of test : 0.84
-----------------------------------------------
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+ : 0.30
p-value of test : 0.14
Kolmogorov-Smirnov- statistic = D- : 0.12
p-value of test : 0.69
Anderson-Darling statistic = A2 : 1.17
p-value of test : 0.28
Test on the sum of all N observations
Number of degrees of freedom : 10000
Chi-square statistic : 9837.73
p-value of test : 0.87
-----------------------------------------------
CPU time used : 00:00:38.44
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 1000000000, r = 10, s = 10, L = 30
-----------------------------------------------
Normal statistic : -1.16
p-value of test : 0.88
-----------------------------------------------
CPU time used : 00:00:49.07
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 100000000, r = 10, s = 10, L = 300
-----------------------------------------------
Normal statistic : -0.22
p-value of test : 0.59
-----------------------------------------------
CPU time used : 00:00:46.23
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 100000000, r = 10, s = 10, L = 1200
-----------------------------------------------
Normal statistic : 1.98e-3
p-value of test : 0.50
-----------------------------------------------
CPU time used : 00:03:03.97
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+ : 0.023
p-value of test : 0.97
Kolmogorov-Smirnov- statistic = D- : 0.28
p-value of test : 0.18
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 : 4890
Chi-square statistic : 5018.23
p-value of test : 0.10
-----------------------------------------------
CPU time used : 00:01:16.05
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+ : 0.14
p-value of test : 0.61
Kolmogorov-Smirnov- statistic = D- : 0.085
p-value of test : 0.82
Anderson-Darling statistic = A2 : 0.37
p-value of test : 0.88
Test on the sum of all N observations
Number of degrees of freedom : 4890
Chi-square statistic : 4842.28
p-value of test : 0.68
-----------------------------------------------
CPU time used : 00:01:19.18
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 : 4090.80
p-value of test : 0.61
-----------------------------------------------
CPU time used : 00:00:55.96
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 : 4235.47
p-value of test : 0.10
-----------------------------------------------
CPU time used : 00:00:58.53
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 :11839.73
p-value of test : 0.46
-----------------------------------------------
CPU time used : 00:01:02.56
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 :11804.72
p-value of test : 0.55
-----------------------------------------------
CPU time used : 00:01:05.09
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 : 62.91
p-value of test : 0.19
-----------------------------------------------
Total number of bits: 8000073969
Normal statistic for number of bits : 0.58
p-value of test : 0.28
-----------------------------------------------
CPU time used : 00:00:51.51
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 : 55.35
p-value of test : 0.42
-----------------------------------------------
Total number of bits: 8000066289
Normal statistic for number of bits : 0.52
p-value of test : 0.30
-----------------------------------------------
CPU time used : 00:00:52.73
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+ : 0.34
p-value of test : 0.08
Kolmogorov-Smirnov- statistic = D- : 0.041
p-value of test : 0.94
Anderson-Darling statistic = A2 : 1.44
p-value of test : 0.19
Tests on the sum of all N observations
Standardized normal statistic : -1.46
p-value of test : 0.93
Sample variance : 0.64
p-value of test : 0.77
-----------------------------------------------
CPU time used : 00:01:58.93
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+ : 0.34
p-value of test : 0.08
Kolmogorov-Smirnov- statistic = D- : 0.11
p-value of test : 0.74
Anderson-Darling statistic = A2 : 1.58
p-value of test : 0.16
Tests on the sum of all N observations
Standardized normal statistic : -1.33
p-value of test : 0.91
Sample variance : 1.92
p-value of test : 0.04
-----------------------------------------------
CPU time used : 00:01:44.56
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+ : 0.26
p-value of test : 0.23
Kolmogorov-Smirnov- statistic = D- : 0.14
p-value of test : 0.63
Anderson-Darling statistic = A2 : 1.06
p-value of test : 0.33
Tests on the sum of all N observations
Standardized normal statistic : -0.79
p-value of test : 0.78
Sample variance : 2.21
p-value of test : 0.02
-----------------------------------------------
CPU time used : 00:02:00.34
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+ : 0.13
p-value of test : 0.67
Kolmogorov-Smirnov- statistic = D- : 0.19
p-value of test : 0.44
Anderson-Darling statistic = A2 : 0.32
p-value of test : 0.92
Tests on the sum of all N observations
Standardized normal statistic : 0.47
p-value of test : 0.32
Sample variance : 1.12
p-value of test : 0.35
-----------------------------------------------
CPU time used : 00:01:46.21
Generator state:
========= Summary results of BigCrush =========
Version: TestU01 1.2.3
Generator: xorshift1024star lsb 32-bits
Number of statistics: 160
Total CPU time: 02:17:38.59
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