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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 (bit reverse)
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 : 0.97
-----------------------------------------------
CPU time used : 00:00:53.75
Generator state:
***********************************************************
Test smarsa_SerialOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 0.70
-----------------------------------------------
CPU time used : 00:00:55.60
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 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 : 00:01:55.87
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 1332
p-value of test : 0.80
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334452
j = 1 : 599997336
j = 2 : 1332
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:02.55
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 1344
p-value of test : 0.70
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334464
j = 1 : 599997312
j = 2 : 1344
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:24.38
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 1375
p-value of test : 0.39
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334495
j = 1 : 599997250
j = 2 : 1375
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:28.42
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 1348
p-value of test : 0.66
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334468
j = 1 : 599997304
j = 2 : 1348
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:27.77
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 1397
p-value of test : 0.19
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334517
j = 1 : 599997206
j = 2 : 1397
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:32.14
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 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 : 00:02:27.07
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 00:02:31.44
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 1359
p-value of test : 0.55
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334479
j = 1 : 599997282
j = 2 : 1359
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:25.50
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 1450
p-value of test : 0.01
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334570
j = 1 : 599997100
j = 2 : 1450
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:29.89
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 5398
p-value of test : 0.62
-----------------------------------------------
CPU time used : 00:03:03.45
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 4361
p-value of test : 0.36
-----------------------------------------------
CPU time used : 00:01:19.10
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 7365
p-value of test : 0.29
-----------------------------------------------
CPU time used : 00:02:08.05
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 4306
p-value of test : 0.68
-----------------------------------------------
CPU time used : 00:01:32.01
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 4390
p-value of test : 0.21
-----------------------------------------------
CPU time used : 00:01:34.88
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 7475
p-value of test : 0.03
-----------------------------------------------
CPU time used : 00:02:29.71
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 7433
p-value of test : 0.09
-----------------------------------------------
CPU time used : 00:02:29.67
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 7326
p-value of test : 0.47
-----------------------------------------------
CPU time used : 00:03:05.90
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 7519
p-value of test : 9.9e-3
-----------------------------------------------
CPU time used : 00:03:15.92
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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) : 0.31
p-value of test : 0.93
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) : 1.91
p-value of test : 0.10
Test on the Nm values of W_{n,i}(mNP1): 4.34
p-value of test : 5.9e-3
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 900
Number of jumps of Y : 989
p-value of test : 1.8e-3
Stat. AD (mNP2) : 0.84
p-value of test : 0.46
Stat. AD after spacings (mNP2-S) : 0.60
p-value of test : 0.65
-----------------------------------------------
CPU time used : 00:02:09.05
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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) : 0.83
p-value of test : 0.46
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) : 0.25
p-value of test : 0.97
Test on the Nm values of W_{n,i}(mNP1): 2.30
p-value of test : 0.06
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 600
Number of jumps of Y : 627
p-value of test : 0.14
Stat. AD (mNP2) : 0.44
p-value of test : 0.80
Stat. AD after spacings (mNP2-S) : 1.32
p-value of test : 0.22
-----------------------------------------------
CPU time used : 00:01:26.09
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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) : 0.21
p-value of test : 0.99
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) : 0.48
p-value of test : 0.76
Test on the Nm values of W_{n,i}(mNP1): 1.55
p-value of test : 0.17
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 300
Number of jumps of Y : 273
p-value of test : 0.94
Stat. AD (mNP2) : 0.90
p-value of test : 0.41
Stat. AD after spacings (mNP2-S) : 0.45
p-value of test : 0.80
-----------------------------------------------
CPU time used : 00:02:15.48
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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) : 1.47
p-value of test : 0.18
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) : 1.98
p-value of test : 0.10
Test on the Nm values of W_{n,i}(mNP1): 0.85
p-value of test : 0.45
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 150
Number of jumps of Y : 145
p-value of test : 0.64
Stat. AD (mNP2) : 0.73
p-value of test : 0.53
Stat. AD after spacings (mNP2-S) : 1.03
p-value of test : 0.34
-----------------------------------------------
CPU time used : 00:02:31.15
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 400000000, r = 0, d = 8, k = 8
-----------------------------------------------
Number of degrees of freedom : 7
Chi-square statistic : 3.64
p-value of test : 0.82
-----------------------------------------------
CPU time used : 00:00:43.80
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 400000000, r = 27, d = 8, k = 8
-----------------------------------------------
Number of degrees of freedom : 7
Chi-square statistic : 6.09
p-value of test : 0.53
-----------------------------------------------
CPU time used : 00:00:50.73
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 100000000, r = 0, d = 32, k = 32
-----------------------------------------------
Number of degrees of freedom : 18
Chi-square statistic : 12.55
p-value of test : 0.82
-----------------------------------------------
CPU time used : 00:00:46.40
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 100000000, r = 25, d = 32, k = 32
-----------------------------------------------
Number of degrees of freedom : 18
Chi-square statistic : 19.14
p-value of test : 0.38
-----------------------------------------------
CPU time used : 00:00:52.82
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 200000000, r = 0, d = 8
-----------------------------------------------
Number of degrees of freedom : 54
Chi-square statistic : 51.29
p-value of test : 0.58
-----------------------------------------------
CPU time used : 00:00:55.03
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 200000000, r = 10, d = 8
-----------------------------------------------
Number of degrees of freedom : 54
Chi-square statistic : 56.17
p-value of test : 0.39
-----------------------------------------------
CPU time used : 00:01:03.73
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 200000000, r = 20, d = 8
-----------------------------------------------
Number of degrees of freedom : 54
Chi-square statistic : 57.87
p-value of test : 0.33
-----------------------------------------------
CPU time used : 00:01:03.73
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 200000000, r = 27, d = 8
-----------------------------------------------
Number of degrees of freedom : 54
Chi-square statistic : 50.36
p-value of test : 0.62
-----------------------------------------------
CPU time used : 00:01:03.75
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 500000000, r = 0, Alpha = 0, Beta = 0.0625
-----------------------------------------------
Number of degrees of freedom : 232
Chi-square statistic : 255.59
p-value of test : 0.14
-----------------------------------------------
CPU time used : 00:01:04.55
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 300000000, r = 25, Alpha = 0, Beta = 0.03125
-----------------------------------------------
Number of degrees of freedom : 434
Chi-square statistic : 439.28
p-value of test : 0.42
-----------------------------------------------
CPU time used : 00:01:32.25
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.0078125
-----------------------------------------------
Number of degrees of freedom : 1437
Chi-square statistic : 1485.57
p-value of test : 0.18
-----------------------------------------------
CPU time used : 00:01:32.86
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 10000000, r = 20, Alpha = 0, Beta = 0.000976562
-----------------------------------------------
Number of degrees of freedom : 7046
Chi-square statistic : 6929.94
p-value of test : 0.84
-----------------------------------------------
CPU time used : 00:01:33.07
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sknuth_Run test:
-----------------------------------------------
N = 5, n = 1000000000, r = 0, Up = FALSE
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.26
p-value of test : 0.43
Kolmogorov-Smirnov- statistic = D- : 0.20
p-value of test : 0.57
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 : 30
Chi-square statistic : 27.00
p-value of test : 0.62
-----------------------------------------------
CPU time used : 00:01:04.64
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sknuth_Run test:
-----------------------------------------------
N = 10, n = 1000000000, r = 15, Up = TRUE
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.28
p-value of test : 0.18
Kolmogorov-Smirnov- statistic = D- : 0.083
p-value of test : 0.83
Anderson-Darling statistic = A2 : 0.79
p-value of test : 0.48
Test on the sum of all N observations
Number of degrees of freedom : 60
Chi-square statistic : 56.53
p-value of test : 0.60
-----------------------------------------------
CPU time used : 00:02:31.52
Generator state:
***********************************************************
Test sknuth_Permutation calling smultin_Multinomial
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 4.75
p-value of test : 0.45
-----------------------------------------------
CPU time used : 00:00:44.35
Generator state:
***********************************************************
Test sknuth_Permutation calling smultin_Multinomial
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 134.15
p-value of test : 0.16
-----------------------------------------------
CPU time used : 00:01:19.00
Generator state:
***********************************************************
Test sknuth_Permutation calling smultin_Multinomial
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 5139.01
p-value of test : 0.16
-----------------------------------------------
CPU time used : 00:01:01.82
Generator state:
***********************************************************
Test sknuth_Permutation calling smultin_Multinomial
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 0.48
-----------------------------------------------
CPU time used : 00:02:21.92
Generator state:
***********************************************************
Test sknuth_CollisionPermut calling smultin_Multinomial
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 45726
p-value of test : 0.76
-----------------------------
Total number of cells containing j balls
j = 0 : 1743165869726
j = 1 : 399908552
j = 2 : 45718
j = 3 : 4
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:03:36.21
Generator state:
***********************************************************
Test sknuth_CollisionPermut calling smultin_Multinomial
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 45793
p-value of test : 0.66
-----------------------------
Total number of cells containing j balls
j = 0 : 1743165869793
j = 1 : 399908417
j = 2 : 45787
j = 3 : 3
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:03:46.43
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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+ : 0.026
p-value of test : 0.93
Kolmogorov-Smirnov- statistic = D- : 0.12
p-value of test : 0.30
Anderson-Darling statistic = A2 : 0.78
p-value of test : 0.50
Test on the sum of all N observations
Number of degrees of freedom : 3999960
Chi-square statistic : 4.00e+6
p-value of test : 0.16
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.12
p-value of test : 0.28
Kolmogorov-Smirnov- statistic = D- : 0.058
p-value of test : 0.73
Anderson-Darling statistic = A2 : 0.66
p-value of test : 0.59
-----------------------------------------------
CPU time used : 00:02:02.23
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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+ : 0.12
p-value of test : 0.40
Kolmogorov-Smirnov- statistic = D- : 0.083
p-value of test : 0.63
Anderson-Darling statistic = A2 : 0.50
p-value of test : 0.75
Test on the sum of all N observations
Number of degrees of freedom : 2999970
Chi-square statistic : 3.00e+6
p-value of test : 0.36
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.13
p-value of test : 0.32
Kolmogorov-Smirnov- statistic = D- : 0.029
p-value of test : 0.93
Anderson-Darling statistic = A2 : 0.74
p-value of test : 0.53
-----------------------------------------------
CPU time used : 00:01:46.02
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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+ : 0.089
p-value of test : 0.69
Kolmogorov-Smirnov- statistic = D- : 0.088
p-value of test : 0.70
Anderson-Darling statistic = A2 : 0.21
p-value of test : 0.99
Test on the sum of all N observations
Number of degrees of freedom : 1999980
Chi-square statistic : 2.00e+6
p-value of test : 0.38
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.085
p-value of test : 0.71
Kolmogorov-Smirnov- statistic = D- : 0.11
p-value of test : 0.58
Anderson-Darling statistic = A2 : 0.25
p-value of test : 0.97
-----------------------------------------------
CPU time used : 00:01:22.67
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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+ : 0.16
p-value of test : 0.32
Kolmogorov-Smirnov- statistic = D- : 0.11
p-value of test : 0.59
Anderson-Darling statistic = A2 : 1.33
p-value of test : 0.22
Test on the sum of all N observations
Number of degrees of freedom : 1999980
Chi-square statistic : 2.00e+6
p-value of test : 0.68
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.26
p-value of test : 0.05
Kolmogorov-Smirnov- statistic = D- : 0.052
p-value of test : 0.87
Anderson-Darling statistic = A2 : 2.11
p-value of test : 0.08
-----------------------------------------------
CPU time used : 00:01:34.11
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
svaria_SampleProd test:
-----------------------------------------------
N = 40, n = 10000000, r = 0, t = 8
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.17
p-value of test : 0.09
Kolmogorov-Smirnov- statistic = D- : 0.084
p-value of test : 0.54
Anderson-Darling statistic = A2 : 0.81
p-value of test : 0.47
-----------------------------------------------
CPU time used : 00:01:29.17
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
svaria_SampleProd test:
-----------------------------------------------
N = 20, n = 10000000, r = 0, t = 16
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.17
p-value of test : 0.30
Kolmogorov-Smirnov- statistic = D- : 0.055
p-value of test : 0.85
Anderson-Darling statistic = A2 : 0.80
p-value of test : 0.48
-----------------------------------------------
CPU time used : 00:01:01.01
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
svaria_SampleProd test:
-----------------------------------------------
N = 20, n = 10000000, r = 0, t = 24
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.085
p-value of test : 0.71
Kolmogorov-Smirnov- statistic = D- : 0.31
p-value of test : 0.02
Anderson-Darling statistic = A2 : 2.33
p-value of test : 0.06
-----------------------------------------------
CPU time used : 00:01:17.67
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
svaria_SampleMean test:
-----------------------------------------------
N = 20000000, n = 30, r = 0
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 1.74e-4
p-value of test : 0.30
Kolmogorov-Smirnov- statistic = D- : 9.57e-5
p-value of test : 0.69
Anderson-Darling statistic = A2 : 0.59
p-value of test : 0.66
-----------------------------------------------
CPU time used : 00:00:21.05
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
svaria_SampleMean test:
-----------------------------------------------
N = 20000000, n = 30, r = 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 2.22e-4
p-value of test : 0.14
Kolmogorov-Smirnov- statistic = D- : 1.57e-4
p-value of test : 0.37
Anderson-Darling statistic = A2 : 1.76
p-value of test : 0.13
-----------------------------------------------
CPU time used : 00:00:22.15
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
svaria_SampleCorr test:
-----------------------------------------------
N = 1, n = 2000000000, r = 0, k = 1
-----------------------------------------------
Normal statistic : 0.95
p-value of test : 0.17
-----------------------------------------------
CPU time used : 00:00:16.69
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
svaria_SampleCorr test:
-----------------------------------------------
N = 1, n = 2000000000, r = 0, k = 2
-----------------------------------------------
Normal statistic : 0.45
p-value of test : 0.33
-----------------------------------------------
CPU time used : 00:00:16.72
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : -2.45
p-value of test : 0.9928
-----------------------------------------------
CPU time used : 00:01:09.68
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 0.69
p-value of test : 0.24
-----------------------------------------------
CPU time used : 00:01:12.90
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 91.36
p-value of test : 0.03
-----------------------------------------------
CPU time used : 00:00:36.48
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 50.63
p-value of test : 0.93
-----------------------------------------------
CPU time used : 00:00:46.22
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 91.19
p-value of test : 0.03
-----------------------------------------------
CPU time used : 00:00:46.22
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 51.38
p-value of test : 0.06
-----------------------------------------------
CPU time used : 00:00:36.50
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 39.03
p-value of test : 0.38
-----------------------------------------------
CPU time used : 00:00:46.22
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 39.35
p-value of test : 0.37
-----------------------------------------------
CPU time used : 00:00:46.22
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
svaria_SumCollector test:
-----------------------------------------------
N = 1, n = 500000000, r = 0, g = 10
-----------------------------------------------
Number of degrees of freedom : 29
Chi-square statistic : 20.89
p-value of test : 0.86
-----------------------------------------------
CPU time used : 00:01:20.22
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
smarsa_MatrixRank test:
-----------------------------------------------
N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.19
p-value of test : 0.42
Kolmogorov-Smirnov- statistic = D- : 0.20
p-value of test : 0.38
Anderson-Darling statistic = A2 : 0.74
p-value of test : 0.52
Test on the sum of all N observations
Number of degrees of freedom : 40
Chi-square statistic : 40.10
p-value of test : 0.47
-----------------------------------------------
CPU time used : 00:00:56.59
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
smarsa_MatrixRank test:
-----------------------------------------------
N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.041
p-value of test : 0.94
Kolmogorov-Smirnov- statistic = D- : 0.32
p-value of test : 0.10
Anderson-Darling statistic = A2 : 2.53
p-value of test : 0.05
Test on the sum of all N observations
Number of degrees of freedom : 40
Chi-square statistic : 57.45
p-value of test : 0.04
-----------------------------------------------
CPU time used : 00:00:56.52
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 5000, r = 0, s = 4, L = 1000, k = 1000
-----------------------------------------------
Number of degrees of freedom : 3
Chi-square statistic : 1.75
p-value of test : 0.63
-----------------------------------------------
CPU time used : 00:01:43.77
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000
-----------------------------------------------
Number of degrees of freedom : 3
Chi-square statistic : 3.77
p-value of test : 0.29
-----------------------------------------------
CPU time used : 00:01:43.75
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 80, r = 15, s = 15, L = 5000, k = 5000
-----------------------------------------------
Number of degrees of freedom : 2
Chi-square statistic : 1.47
p-value of test : 0.48
-----------------------------------------------
CPU time used : 00:01:09.60
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5000
-----------------------------------------------
Number of degrees of freedom : 2
Chi-square statistic : 1.06
p-value of test : 0.59
-----------------------------------------------
CPU time used : 00:00:57.39
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
smarsa_Savir2 test:
-----------------------------------------------
N = 10, n = 10000000, r = 10, m = 1048576, t = 30
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.19
p-value of test : 0.43
Kolmogorov-Smirnov- statistic = D- : 0.25
p-value of test : 0.24
Anderson-Darling statistic = A2 : 0.73
p-value of test : 0.53
Test on the sum of all N observations
Number of degrees of freedom : 130
Chi-square statistic : 130.48
p-value of test : 0.47
-----------------------------------------------
CPU time used : 00:00:26.26
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
smarsa_GCD test:
-----------------------------------------------
N = 10, n = 50000000, r = 0, s = 30
-----------------------------------------------
Test results for GCD values:
Kolmogorov-Smirnov+ statistic = D+ : 0.022
p-value of test : 0.97
Kolmogorov-Smirnov- statistic = D- : 0.40
p-value of test : 0.03
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 : 17430
Chi-square statistic :17779.84
p-value of test : 0.03
-----------------------------------------------
CPU time used : 00:01:30.47
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 37.91
p-value of test : 0.38
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 35
ChiSquare statistic : 27.26
p-value of test : 0.82
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 25
ChiSquare statistic : 27.54
p-value of test : 0.33
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 24
ChiSquare statistic : 21.50
p-value of test : 0.61
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 17
ChiSquare statistic : 14.13
p-value of test : 0.66
-----------------------------------------------
CPU time used : 00:00:32.39
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 13.77
p-value of test : 0.9997 *****
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 35
ChiSquare statistic : 33.26
p-value of test : 0.55
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 25
ChiSquare statistic : 27.54
p-value of test : 0.33
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 24
ChiSquare statistic : 16.10
p-value of test : 0.88
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 17
ChiSquare statistic : 19.49
p-value of test : 0.30
-----------------------------------------------
CPU time used : 00:00:32.77
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 155.97
p-value of test : 0.27
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 146
ChiSquare statistic : 160.75
p-value of test : 0.19
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 500
ChiSquare statistic : 544.85
p-value of test : 0.08
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 136
ChiSquare statistic : 144.66
p-value of test : 0.29
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 74
ChiSquare statistic : 65.41
p-value of test : 0.75
-----------------------------------------------
CPU time used : 00:00:39.77
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 171.25
p-value of test : 0.08
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 146
ChiSquare statistic : 123.43
p-value of test : 0.91
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 500
ChiSquare statistic : 460.71
p-value of test : 0.90
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 136
ChiSquare statistic : 163.66
p-value of test : 0.05
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 74
ChiSquare statistic : 116.60
p-value of test : 1.2e-3
-----------------------------------------------
CPU time used : 00:00:40.10
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 370.59
p-value of test : 0.68
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 384
ChiSquare statistic : 405.96
p-value of test : 0.21
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 5000
ChiSquare statistic : 4888.51
p-value of test : 0.87
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 378
ChiSquare statistic : 392.29
p-value of test : 0.30
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 200
ChiSquare statistic : 201.76
p-value of test : 0.45
-----------------------------------------------
CPU time used : 00:00:32.84
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 380.54
p-value of test : 0.54
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 384
ChiSquare statistic : 370.32
p-value of test : 0.68
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 5000
ChiSquare statistic : 4984.12
p-value of test : 0.56
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 378
ChiSquare statistic : 385.38
p-value of test : 0.39
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 200
ChiSquare statistic : 226.85
p-value of test : 0.09
-----------------------------------------------
CPU time used : 00:00:32.90
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
scomp_LinearComp test:
-----------------------------------------------
N = 1, n = 400020, r = 0, s = 1
-----------------------------------------------
Number of degrees of freedom : 12
Chi2 statistic for size of jumps : 8.32
p-value of test : 0.76
-----------------------------------------------
Normal statistic for number of jumps : -444.92
p-value of test : 1 - eps1 *****
-----------------------------------------------
CPU time used : 00:00:00.21
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
scomp_LinearComp test:
-----------------------------------------------
N = 1, n = 400020, r = 29, s = 1
-----------------------------------------------
Number of degrees of freedom : 12
Chi2 statistic for size of jumps : 4.88
p-value of test : 0.96
-----------------------------------------------
Normal statistic for number of jumps : -0.51
p-value of test : 0.69
-----------------------------------------------
CPU time used : 00:01:32.86
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
scomp_LempelZiv test:
-----------------------------------------------
N = 10, n = 134217728, r = 0, s = 30, k = 27
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.095
p-value of test : 0.78
Kolmogorov-Smirnov- statistic = D- : 0.10
p-value of test : 0.75
Anderson-Darling statistic = A2 : 0.16
p-value of test : 0.9972
Tests on the sum of all N observations
Standardized normal statistic : 0.27
p-value of test : 0.39
Sample variance : 0.92
p-value of test : 0.50
-----------------------------------------------
CPU time used : 00:00:57.07
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
scomp_LempelZiv test:
-----------------------------------------------
N = 10, n = 134217728, r = 15, s = 15, k = 27
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.19
p-value of test : 0.45
Kolmogorov-Smirnov- statistic = D- : 0.31
p-value of test : 0.12
Anderson-Darling statistic = A2 : 1.11
p-value of test : 0.30
Tests on the sum of all N observations
Standardized normal statistic : 0.34
p-value of test : 0.37
Sample variance : 0.25
p-value of test : 0.99
-----------------------------------------------
CPU time used : 00:00:56.68
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sspectral_Fourier3 test:
-----------------------------------------------
N = 100000, n = 16384, r = 0, s = 3, k = 14
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 2.45e-3
p-value of test : 0.95
Kolmogorov-Smirnov- statistic = D- : 0.014
p-value of test : 0.20
Anderson-Darling statistic = A2 : 1.31
p-value of test : 0.23
-----------------------------------------------
CPU time used : 00:00:33.10
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sspectral_Fourier3 test:
-----------------------------------------------
N = 100000, n = 16384, r = 27, s = 3, k = 14
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 1.00e-2
p-value of test : 0.44
Kolmogorov-Smirnov- statistic = D- : 0.013
p-value of test : 0.27
Anderson-Darling statistic = A2 : 0.95
p-value of test : 0.38
-----------------------------------------------
CPU time used : 00:00:32.14
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sstring_LongestHeadRun test:
-----------------------------------------------
N = 1, n = 1000, r = 0, s = 3, L = 10000020
-----------------------------------------------
Number of degrees of freedom : 8
Chi-square statistic : 2.18
p-value of test : 0.97
-----------------------------------------------
Global longest run of 1 : 34.00
p-value of test : 0.25
-----------------------------------------------
CPU time used : 00:01:14.06
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sstring_LongestHeadRun test:
-----------------------------------------------
N = 1, n = 1000, r = 27, s = 3, L = 10000020
-----------------------------------------------
Number of degrees of freedom : 8
Chi-square statistic : 6.88
p-value of test : 0.55
-----------------------------------------------
Global longest run of 1 : 32.00
p-value of test : 0.50
-----------------------------------------------
CPU time used : 00:01:16.13
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sstring_PeriodsInStrings test:
-----------------------------------------------
N = 10, n = 500000000, r = 0, s = 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.29
p-value of test : 0.15
Kolmogorov-Smirnov- statistic = D- : 0.22
p-value of test : 0.33
Anderson-Darling statistic = A2 : 1.30
p-value of test : 0.23
Test on the sum of all N observations
Number of degrees of freedom : 200
Chi-square statistic : 184.48
p-value of test : 0.78
-----------------------------------------------
CPU time used : 00:01:48.56
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sstring_PeriodsInStrings test:
-----------------------------------------------
N = 10, n = 500000000, r = 20, s = 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.089
p-value of test : 0.81
Kolmogorov-Smirnov- statistic = D- : 0.19
p-value of test : 0.42
Anderson-Darling statistic = A2 : 0.57
p-value of test : 0.68
Test on the sum of all N observations
Number of degrees of freedom : 200
Chi-square statistic : 212.76
p-value of test : 0.26
-----------------------------------------------
CPU time used : 00:01:50.43
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sstring_HammingWeight2 test:
-----------------------------------------------
N = 10, n = 1000000000, r = 0, s = 3, L = 1000000
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.14
p-value of test : 0.62
Kolmogorov-Smirnov- statistic = D- : 0.28
p-value of test : 0.18
Anderson-Darling statistic = A2 : 0.93
p-value of test : 0.39
Test on the sum of all N observations
Number of degrees of freedom : 10000
Chi-square statistic :10098.65
p-value of test : 0.24
-----------------------------------------------
CPU time used : 00:00:45.60
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sstring_HammingWeight2 test:
-----------------------------------------------
N = 10, n = 1000000000, r = 27, s = 3, L = 1000000
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.16
p-value of test : 0.55
Kolmogorov-Smirnov- statistic = D- : 0.19
p-value of test : 0.42
Anderson-Darling statistic = A2 : 0.51
p-value of test : 0.73
Test on the sum of all N observations
Number of degrees of freedom : 10000
Chi-square statistic :10007.03
p-value of test : 0.48
-----------------------------------------------
CPU time used : 00:00:47.40
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 1000000000, r = 10, s = 10, L = 30
-----------------------------------------------
Normal statistic : 1.53
p-value of test : 0.06
-----------------------------------------------
CPU time used : 00:00:58.05
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 100000000, r = 10, s = 10, L = 300
-----------------------------------------------
Normal statistic : 0.16
p-value of test : 0.44
-----------------------------------------------
CPU time used : 00:00:55.85
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 100000000, r = 10, s = 10, L = 1200
-----------------------------------------------
Normal statistic : -0.26
p-value of test : 0.60
-----------------------------------------------
CPU time used : 00:03:41.56
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sstring_HammingIndep test:
-----------------------------------------------
N = 10, n = 30000000, r = 0, s = 3, L = 30, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.15
p-value of test : 0.59
Kolmogorov-Smirnov- statistic = D- : 0.30
p-value of test : 0.14
Anderson-Darling statistic = A2 : 0.94
p-value of test : 0.39
Test on the sum of all N observations
Number of degrees of freedom : 4890
Chi-square statistic : 4966.88
p-value of test : 0.22
-----------------------------------------------
CPU time used : 00:01:28.52
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sstring_HammingIndep test:
-----------------------------------------------
N = 10, n = 30000000, r = 27, s = 3, L = 30, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.16
p-value of test : 0.55
Kolmogorov-Smirnov- statistic = D- : 0.23
p-value of test : 0.29
Anderson-Darling statistic = A2 : 0.53
p-value of test : 0.72
Test on the sum of all N observations
Number of degrees of freedom : 4890
Chi-square statistic : 4880.05
p-value of test : 0.54
-----------------------------------------------
CPU time used : 00:01:31.61
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 4256.13
p-value of test : 0.06
-----------------------------------------------
CPU time used : 00:01:05.67
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 4198.74
p-value of test : 0.18
-----------------------------------------------
CPU time used : 00:01:08.03
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 :11711.34
p-value of test : 0.77
-----------------------------------------------
CPU time used : 00:01:12.43
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 :11889.25
p-value of test : 0.34
-----------------------------------------------
CPU time used : 00:01:15.19
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sstring_Run test:
-----------------------------------------------
N = 1, n = 2000000000, r = 0, s = 3
-----------------------------------------------
Total number of 1 runs: 2000000000
Number of degrees of freedom : 54
Chi2 statistic for number of runs : 79.81
p-value of test : 0.01
-----------------------------------------------
Total number of bits: 7999970304
Normal statistic for number of bits : -0.23
p-value of test : 0.59
-----------------------------------------------
CPU time used : 00:00:58.48
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
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 : 49.03
p-value of test : 0.67
-----------------------------------------------
Total number of bits: 8000216970
Normal statistic for number of bits : 1.72
p-value of test : 0.04
-----------------------------------------------
CPU time used : 00:00:59.69
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sstring_AutoCor test:
-----------------------------------------------
N = 10, n = 1000000030, r = 0, s = 3, d = 1
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.16
p-value of test : 0.54
Kolmogorov-Smirnov- statistic = D- : 0.32
p-value of test : 0.11
Anderson-Darling statistic = A2 : 1.29
p-value of test : 0.23
Tests on the sum of all N observations
Standardized normal statistic : 0.82
p-value of test : 0.21
Sample variance : 0.33
p-value of test : 0.96
-----------------------------------------------
CPU time used : 00:02:04.22
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sstring_AutoCor test:
-----------------------------------------------
N = 10, n = 1000000029, r = 0, s = 3, d = 3
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.37
p-value of test : 0.05
Kolmogorov-Smirnov- statistic = D- : 0.13
p-value of test : 0.65
Anderson-Darling statistic = A2 : 1.55
p-value of test : 0.16
Tests on the sum of all N observations
Standardized normal statistic : -1.28
p-value of test : 0.90
Sample variance : 0.68
p-value of test : 0.73
-----------------------------------------------
CPU time used : 00:01:50.12
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sstring_AutoCor test:
-----------------------------------------------
N = 10, n = 1000000030, r = 27, s = 3, d = 1
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.16
p-value of test : 0.53
Kolmogorov-Smirnov- statistic = D- : 0.17
p-value of test : 0.52
Anderson-Darling statistic = A2 : 0.35
p-value of test : 0.89
Tests on the sum of all N observations
Standardized normal statistic : -0.056
p-value of test : 0.52
Sample variance : 0.78
p-value of test : 0.63
-----------------------------------------------
CPU time used : 00:02:05.98
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sstring_AutoCor test:
-----------------------------------------------
N = 10, n = 1000000029, r = 27, s = 3, d = 3
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.34
p-value of test : 0.08
Kolmogorov-Smirnov- statistic = D- : 0.012
p-value of test : 0.99
Anderson-Darling statistic = A2 : 2.50
p-value of test : 0.05
Tests on the sum of all N observations
Standardized normal statistic : -2.19
p-value of test : 0.99
Sample variance : 0.77
p-value of test : 0.65
-----------------------------------------------
CPU time used : 00:01:51.48
Generator state:
========= Summary results of BigCrush =========
Version: TestU01 1.2.3
Generator: xorshift1024star lsb 32-bits (bit reverse)
Number of statistics: 160
Total CPU time: 02:32:30.78
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
----------------------------------------------
75 RandomWalk1 H (L=50, r=25) 0.9997
80 LinearComp, r = 0 1 - eps1
----------------------------------------------
All other tests were passed