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==seed: 848432
==xorshift1024star
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Starting BigCrush
Version: TestU01 1.2.3
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
***********************************************************
Test smarsa_SerialOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (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 : 0.72
-----------------------------------------------
CPU time used : 00:00:54.25
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 : 0.54
-----------------------------------------------
CPU time used : 00:00:55.34
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 : 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 : 00:01:53.37
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 : 1402
p-value of test : 0.16
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334522
j = 1 : 599997196
j = 2 : 1402
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:01.58
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 : 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 : 00:02:23.92
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 : 1456
p-value of test : 7.2e-3
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334576
j = 1 : 599997088
j = 2 : 1456
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:28.37
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 : 1352
p-value of test : 0.62
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334472
j = 1 : 599997296
j = 2 : 1352
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:27.88
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 : 1390
p-value of test : 0.25
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334510
j = 1 : 599997220
j = 2 : 1390
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:32.10
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 : 1384
p-value of test : 0.30
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334504
j = 1 : 599997232
j = 2 : 1384
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:27.17
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 : 1309
p-value of test : 0.93
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334429
j = 1 : 599997382
j = 2 : 1309
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:31.50
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 = 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 : 1300
p-value of test : 0.96
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334420
j = 1 : 599997400
j = 2 : 1300
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:24.74
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 : 1474
p-value of test : 1.7e-3
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334594
j = 1 : 599997052
j = 2 : 1474
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:29.15
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 : 5296
p-value of test : 0.95
-----------------------------------------------
CPU time used : 00:03:03.31
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 : 4339
p-value of test : 0.49
-----------------------------------------------
CPU time used : 00:01:19.11
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 : 7321
p-value of test : 0.49
-----------------------------------------------
CPU time used : 00:02:07.99
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 : 4260
p-value of test : 0.88
-----------------------------------------------
CPU time used : 00:01:31.98
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 : 4299
p-value of test : 0.71
-----------------------------------------------
CPU time used : 00:01:34.90
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 : 7489
p-value of test : 0.02
-----------------------------------------------
CPU time used : 00:02:30.21
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 : 7286
p-value of test : 0.64
-----------------------------------------------
CPU time used : 00:02:29.86
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 : 7513
p-value of test : 0.01
-----------------------------------------------
CPU time used : 00:03:05.76
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 : 7358
p-value of test : 0.32
-----------------------------------------------
CPU time used : 00:03:15.23
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) : 1.19
p-value of test : 0.27
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) : 1.77
p-value of test : 0.12
Test on the Nm values of W_{n,i}(mNP1): 0.77
p-value of test : 0.50
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 900
Number of jumps of Y : 852
p-value of test : 0.94
Stat. AD (mNP2) : 0.76
p-value of test : 0.51
Stat. AD after spacings (mNP2-S) : 0.62
p-value of test : 0.63
-----------------------------------------------
CPU time used : 00:02:05.48
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) : 2.42
p-value of test : 0.06
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) : 0.55
p-value of test : 0.70
Test on the Nm values of W_{n,i}(mNP1): 1.75
p-value of test : 0.13
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 600
Number of jumps of Y : 576
p-value of test : 0.83
Stat. AD (mNP2) : 0.37
p-value of test : 0.88
Stat. AD after spacings (mNP2-S) : 1.96
p-value of test : 0.10
-----------------------------------------------
CPU time used : 00:01:24.71
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) : 0.87
p-value of test : 0.43
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) : 2.41
p-value of test : 0.06
Test on the Nm values of W_{n,i}(mNP1): 0.79
p-value of test : 0.49
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 300
Number of jumps of Y : 277
p-value of test : 0.90
Stat. AD (mNP2) : 1.44
p-value of test : 0.19
Stat. AD after spacings (mNP2-S) : 0.57
p-value of test : 0.68
-----------------------------------------------
CPU time used : 00:02:12.84
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) : 0.60
p-value of test : 0.64
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) : 0.24
p-value of test : 0.97
Test on the Nm values of W_{n,i}(mNP1): 0.78
p-value of test : 0.50
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 150
Number of jumps of Y : 138
p-value of test : 0.83
Stat. AD (mNP2) : 1.55
p-value of test : 0.16
Stat. AD after spacings (mNP2-S) : 0.99
p-value of test : 0.36
-----------------------------------------------
CPU time used : 00:02:29.86
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 : 4.87
p-value of test : 0.68
-----------------------------------------------
CPU time used : 00:00:48.01
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 : 7.29
p-value of test : 0.40
-----------------------------------------------
CPU time used : 00:00:55.23
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 : 11.04
p-value of test : 0.89
-----------------------------------------------
CPU time used : 00:00:50.63
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 : 13.75
p-value of test : 0.75
-----------------------------------------------
CPU time used : 00:00:57.78
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 : 55.00
p-value of test : 0.44
-----------------------------------------------
CPU time used : 00:00:54.51
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 : 57.56
p-value of test : 0.34
-----------------------------------------------
CPU time used : 00:01:03.57
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 : 45.96
p-value of test : 0.77
-----------------------------------------------
CPU time used : 00:01:03.57
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 : 56.58
p-value of test : 0.38
-----------------------------------------------
CPU time used : 00:01:03.61
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 : 218.30
p-value of test : 0.73
-----------------------------------------------
CPU time used : 00:01:04.57
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 : 466.74
p-value of test : 0.13
-----------------------------------------------
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 : 1439.02
p-value of test : 0.48
-----------------------------------------------
CPU time used : 00:01:32.98
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 : 6969.58
p-value of test : 0.74
-----------------------------------------------
CPU time used : 00:01:33.34
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+ : 0.33
p-value of test : 0.27
Kolmogorov-Smirnov- statistic = D- : 0.19
p-value of test : 0.62
Anderson-Darling statistic = A2 : 0.69
p-value of test : 0.56
Test on the sum of all N observations
Number of degrees of freedom : 30
Chi-square statistic : 23.82
p-value of test : 0.78
-----------------------------------------------
CPU time used : 00:01:04.68
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+ : 0.076
p-value of test : 0.85
Kolmogorov-Smirnov- statistic = D- : 0.16
p-value of test : 0.55
Anderson-Darling statistic = A2 : 0.26
p-value of test : 0.96
Test on the sum of all N observations
Number of degrees of freedom : 60
Chi-square statistic : 64.38
p-value of test : 0.33
-----------------------------------------------
CPU time used : 00:02:31.56
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 : 8.74
p-value of test : 0.12
-----------------------------------------------
CPU time used : 00:00:44.55
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 : 122.38
p-value of test : 0.40
-----------------------------------------------
CPU time used : 00:01:19.19
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 : 4952.63
p-value of test : 0.80
-----------------------------------------------
CPU time used : 00:01:02.05
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 : 0.40
-----------------------------------------------
CPU time used : 00:02:23.17
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 : 45661
p-value of test : 0.85
-----------------------------
Total number of cells containing j balls
j = 0 : 1743165869661
j = 1 : 399908684
j = 2 : 45649
j = 3 : 6
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:03:36.31
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 : 46068
p-value of test : 0.19
-----------------------------
Total number of cells containing j balls
j = 0 : 1743165870068
j = 1 : 399907868
j = 2 : 46060
j = 3 : 4
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:03:46.67
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+ : 0.12
p-value of test : 0.29
Kolmogorov-Smirnov- statistic = D- : 0.043
p-value of test : 0.84
Anderson-Darling statistic = A2 : 0.45
p-value of test : 0.79
Test on the sum of all N observations
Number of degrees of freedom : 3999960
Chi-square statistic : 4.00e+6
p-value of test : 0.62
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.072
p-value of test : 0.63
Kolmogorov-Smirnov- statistic = D- : 0.100
p-value of test : 0.42
Anderson-Darling statistic = A2 : 0.54
p-value of test : 0.71
-----------------------------------------------
CPU time used : 00:02:02.65
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+ : 0.035
p-value of test : 0.91
Kolmogorov-Smirnov- statistic = D- : 0.18
p-value of test : 0.12
Anderson-Darling statistic = A2 : 2.38
p-value of test : 0.06
Test on the sum of all N observations
Number of degrees of freedom : 2999970
Chi-square statistic : 3.01e+6
p-value of test : 0.02
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.093
p-value of test : 0.56
Kolmogorov-Smirnov- statistic = D- : 0.10
p-value of test : 0.49
Anderson-Darling statistic = A2 : 0.46
p-value of test : 0.79
-----------------------------------------------
CPU time used : 00:01:47.65
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+ : 0.079
p-value of test : 0.74
Kolmogorov-Smirnov- statistic = D- : 0.13
p-value of test : 0.47
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 : 1999980
Chi-square statistic : 2.00e+6
p-value of test : 0.23
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.18
p-value of test : 0.26
Kolmogorov-Smirnov- statistic = D- : 0.070
p-value of test : 0.79
Anderson-Darling statistic = A2 : 1.01
p-value of test : 0.35
-----------------------------------------------
CPU time used : 00:01:22.53
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+ : 0.086
p-value of test : 0.71
Kolmogorov-Smirnov- statistic = D- : 0.15
p-value of test : 0.37
Anderson-Darling statistic = A2 : 0.49
p-value of test : 0.76
Test on the sum of all N observations
Number of degrees of freedom : 1999980
Chi-square statistic : 2.00e+6
p-value of test : 0.25
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.13
p-value of test : 0.49
Kolmogorov-Smirnov- statistic = D- : 0.13
p-value of test : 0.48
Anderson-Darling statistic = A2 : 0.38
p-value of test : 0.87
-----------------------------------------------
CPU time used : 00:01:32.14
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+ : 0.075
p-value of test : 0.61
Kolmogorov-Smirnov- statistic = D- : 0.083
p-value of test : 0.54
Anderson-Darling statistic = A2 : 0.42
p-value of test : 0.83
-----------------------------------------------
CPU time used : 00:01:28.35
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+ : 0.10
p-value of test : 0.62
Kolmogorov-Smirnov- statistic = D- : 0.21
p-value of test : 0.14
Anderson-Darling statistic = A2 : 0.80
p-value of test : 0.48
-----------------------------------------------
CPU time used : 00:01:00.32
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+ : 0.26
p-value of test : 0.06
Kolmogorov-Smirnov- statistic = D- : 0.16
p-value of test : 0.33
Anderson-Darling statistic = A2 : 1.66
p-value of test : 0.14
-----------------------------------------------
CPU time used : 00:01:16.69
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
svaria_SampleMean test:
-----------------------------------------------
N = 20000000, n = 30, r = 0
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 2.00e-4
p-value of test : 0.20
Kolmogorov-Smirnov- statistic = D- : 5.62e-5
p-value of test : 0.88
Anderson-Darling statistic = A2 : 0.74
p-value of test : 0.53
-----------------------------------------------
CPU time used : 00:00:21.02
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
svaria_SampleMean test:
-----------------------------------------------
N = 20000000, n = 30, r = 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 3.56e-4
p-value of test : 6.4e-3
Kolmogorov-Smirnov- statistic = D- : 7.92e-5
p-value of test : 0.78
Anderson-Darling statistic = A2 : 3.68
p-value of test : 0.01
-----------------------------------------------
CPU time used : 00:00:22.21
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
svaria_SampleCorr test:
-----------------------------------------------
N = 1, n = 2000000000, r = 0, k = 1
-----------------------------------------------
Normal statistic : -0.87
p-value of test : 0.81
-----------------------------------------------
CPU time used : 00:00:16.44
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
svaria_SampleCorr test:
-----------------------------------------------
N = 1, n = 2000000000, r = 0, k = 2
-----------------------------------------------
Normal statistic : 2.39
p-value of test : 8.4e-3
-----------------------------------------------
CPU time used : 00:00:16.48
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 : -0.27
p-value of test : 0.61
-----------------------------------------------
CPU time used : 00:01:09.82
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 : 0.47
p-value of test : 0.32
-----------------------------------------------
CPU time used : 00:01:13.11
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 : 60.01
p-value of test : 0.71
-----------------------------------------------
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 = 20, k = 256, Alpha = 0, Beta = 0.25
-----------------------------------------------
Number of degrees of freedom : 67
Chi-square statistic : 67.42
p-value of test : 0.46
-----------------------------------------------
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 : 59.33
p-value of test : 0.74
-----------------------------------------------
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 : 29.94
p-value of test : 0.79
-----------------------------------------------
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 = 10, k = 256, Alpha = 0, Beta = 0.0625
-----------------------------------------------
Number of degrees of freedom : 37
Chi-square statistic : 31.77
p-value of test : 0.71
-----------------------------------------------
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 : 37.96
p-value of test : 0.43
-----------------------------------------------
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 : 25.76
p-value of test : 0.64
-----------------------------------------------
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+ : 0.24
p-value of test : 0.26
Kolmogorov-Smirnov- statistic = D- : 0.11
p-value of test : 0.72
Anderson-Darling statistic = A2 : 0.90
p-value of test : 0.41
Test on the sum of all N observations
Number of degrees of freedom : 40
Chi-square statistic : 29.58
p-value of test : 0.89
-----------------------------------------------
CPU time used : 00:00:56.56
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+ : 0.31
p-value of test : 0.12
Kolmogorov-Smirnov- statistic = D- : 0.12
p-value of test : 0.69
Anderson-Darling statistic = A2 : 1.15
p-value of test : 0.29
Test on the sum of all N observations
Number of degrees of freedom : 40
Chi-square statistic : 28.92
p-value of test : 0.90
-----------------------------------------------
CPU time used : 00:00:56.57
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 : 2.65
p-value of test : 0.45
-----------------------------------------------
CPU time used : 00:01:43.75
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 : 1.87
p-value of test : 0.60
-----------------------------------------------
CPU time used : 00:01:43.81
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 : 3.19
p-value of test : 0.20
-----------------------------------------------
CPU time used : 00:01:07.97
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 : 0.080
p-value of test : 0.96
-----------------------------------------------
CPU time used : 00:00:53.25
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+ : 0.11
p-value of test : 0.74
Kolmogorov-Smirnov- statistic = D- : 0.27
p-value of test : 0.21
Anderson-Darling statistic = A2 : 0.71
p-value of test : 0.54
Test on the sum of all N observations
Number of degrees of freedom : 130
Chi-square statistic : 138.62
p-value of test : 0.29
-----------------------------------------------
CPU time used : 00:00:26.25
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+ : 0.37
p-value of test : 0.05
Kolmogorov-Smirnov- statistic = D- : 0.16
p-value of test : 0.56
Anderson-Darling statistic = A2 : 2.78
p-value of test : 0.04
Test on the sum of all N observations
Number of degrees of freedom : 17430
Chi-square statistic :17162.54
p-value of test : 0.92
-----------------------------------------------
CPU time used : 00:01:30.31
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 : 51.01
p-value of test : 0.05
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 35
ChiSquare statistic : 35.86
p-value of test : 0.43
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 25
ChiSquare statistic : 18.85
p-value of test : 0.80
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 24
ChiSquare statistic : 33.24
p-value of test : 0.10
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 17
ChiSquare statistic : 16.09
p-value of test : 0.52
-----------------------------------------------
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 : 34.89
p-value of test : 0.52
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 35
ChiSquare statistic : 29.99
p-value of test : 0.71
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 25
ChiSquare statistic : 25.32
p-value of test : 0.44
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 24
ChiSquare statistic : 25.19
p-value of test : 0.40
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 17
ChiSquare statistic : 11.04
p-value of test : 0.85
-----------------------------------------------
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 : 147.92
p-value of test : 0.44
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 146
ChiSquare statistic : 127.67
p-value of test : 0.86
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 500
ChiSquare statistic : 480.70
p-value of test : 0.72
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 136
ChiSquare statistic : 135.03
p-value of test : 0.51
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 74
ChiSquare statistic : 84.98
p-value of test : 0.18
-----------------------------------------------
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 : 144.74
p-value of test : 0.51
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 146
ChiSquare statistic : 132.39
p-value of test : 0.78
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 500
ChiSquare statistic : 481.45
p-value of test : 0.72
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 136
ChiSquare statistic : 155.01
p-value of test : 0.13
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 74
ChiSquare statistic : 74.22
p-value of test : 0.47
-----------------------------------------------
CPU time used : 00:00:40.07
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 : 390.75
p-value of test : 0.40
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 384
ChiSquare statistic : 353.61
p-value of test : 0.86
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 5000
ChiSquare statistic : 5001.14
p-value of test : 0.49
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 378
ChiSquare statistic : 369.90
p-value of test : 0.61
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 200
ChiSquare statistic : 209.49
p-value of test : 0.31
-----------------------------------------------
CPU time used : 00:00:32.80
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 : 330.26
p-value of test : 0.98
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 384
ChiSquare statistic : 400.32
p-value of test : 0.27
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 5000
ChiSquare statistic : 5071.84
p-value of test : 0.24
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 378
ChiSquare statistic : 375.03
p-value of test : 0.53
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 200
ChiSquare statistic : 207.59
p-value of test : 0.34
-----------------------------------------------
CPU time used : 00:00:32.85
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 : 14.01
p-value of test : 0.30
-----------------------------------------------
Normal statistic for number of jumps : -444.97
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 : 15.82
p-value of test : 0.20
-----------------------------------------------
Normal statistic for number of jumps : 1.45
p-value of test : 0.07
-----------------------------------------------
CPU time used : 00:01:32.98
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+ : 0.24
p-value of test : 0.27
Kolmogorov-Smirnov- statistic = D- : 0.12
p-value of test : 0.70
Anderson-Darling statistic = A2 : 0.58
p-value of test : 0.66
Tests on the sum of all N observations
Standardized normal statistic : -0.74
p-value of test : 0.77
Sample variance : 0.71
p-value of test : 0.70
-----------------------------------------------
CPU time used : 00:00:53.42
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+ : 0.072
p-value of test : 0.86
Kolmogorov-Smirnov- statistic = D- : 0.23
p-value of test : 0.29
Anderson-Darling statistic = A2 : 0.60
p-value of test : 0.65
Tests on the sum of all N observations
Standardized normal statistic : 0.77
p-value of test : 0.22
Sample variance : 0.69
p-value of test : 0.72
-----------------------------------------------
CPU time used : 00:00:55.81
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+ : 3.56e-3
p-value of test : 0.90
Kolmogorov-Smirnov- statistic = D- : 0.015
p-value of test : 0.16
Anderson-Darling statistic = A2 : 1.06
p-value of test : 0.33
-----------------------------------------------
CPU time used : 00:00:32.82
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+ : 0.015
p-value of test : 0.16
Kolmogorov-Smirnov- statistic = D- : 4.82e-3
p-value of test : 0.82
Anderson-Darling statistic = A2 : 0.66
p-value of test : 0.60
-----------------------------------------------
CPU time used : 00:00:31.80
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 : 8.31
p-value of test : 0.40
-----------------------------------------------
Global longest run of 1 : 35.00
p-value of test : 0.14
-----------------------------------------------
CPU time used : 00:01:13.44
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 : 7.72
p-value of test : 0.46
-----------------------------------------------
Global longest run of 1 : 30.00
p-value of test : 0.90
-----------------------------------------------
CPU time used : 00:01:15.53
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+ : 0.072
p-value of test : 0.86
Kolmogorov-Smirnov- statistic = D- : 0.22
p-value of test : 0.33
Anderson-Darling statistic = A2 : 0.48
p-value of test : 0.76
Test on the sum of all N observations
Number of degrees of freedom : 200
Chi-square statistic : 209.05
p-value of test : 0.32
-----------------------------------------------
CPU time used : 00:01:47.98
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+ : 0.28
p-value of test : 0.18
Kolmogorov-Smirnov- statistic = D- : 0.039
p-value of test : 0.94
Anderson-Darling statistic = A2 : 1.51
p-value of test : 0.18
Test on the sum of all N observations
Number of degrees of freedom : 200
Chi-square statistic : 169.29
p-value of test : 0.94
-----------------------------------------------
CPU time used : 00:01:50.10
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+ : 0.27
p-value of test : 0.19
Kolmogorov-Smirnov- statistic = D- : 0.099
p-value of test : 0.77
Anderson-Darling statistic = A2 : 0.75
p-value of test : 0.51
Test on the sum of all N observations
Number of degrees of freedom : 10000
Chi-square statistic : 9910.70
p-value of test : 0.74
-----------------------------------------------
CPU time used : 00:00:45.63
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+ : 0.32
p-value of test : 0.10
Kolmogorov-Smirnov- statistic = D- : 3.86e-3
p-value of test : 0.9960
Anderson-Darling statistic = A2 : 2.96
p-value of test : 0.03
Test on the sum of all N observations
Number of degrees of freedom : 10000
Chi-square statistic : 9649.36
p-value of test : 0.9939
-----------------------------------------------
CPU time used : 00:00:47.36
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 : 0.40
p-value of test : 0.35
-----------------------------------------------
CPU time used : 00:00:56.97
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 : -0.85
p-value of test : 0.80
-----------------------------------------------
CPU time used : 00:00:55.10
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 : 0.78
p-value of test : 0.22
-----------------------------------------------
CPU time used : 00:03:38.14
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+ : 0.19
p-value of test : 0.42
Kolmogorov-Smirnov- statistic = D- : 0.13
p-value of test : 0.67
Anderson-Darling statistic = A2 : 0.40
p-value of test : 0.84
Test on the sum of all N observations
Number of degrees of freedom : 4890
Chi-square statistic : 4860.67
p-value of test : 0.61
-----------------------------------------------
CPU time used : 00:01:39.47
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+ : 0.15
p-value of test : 0.59
Kolmogorov-Smirnov- statistic = D- : 0.093
p-value of test : 0.79
Anderson-Darling statistic = A2 : 0.26
p-value of test : 0.97
Test on the sum of all N observations
Number of degrees of freedom : 4890
Chi-square statistic : 4861.94
p-value of test : 0.61
-----------------------------------------------
CPU time used : 00:01:44.17
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 : 4260.36
p-value of test : 0.06
-----------------------------------------------
CPU time used : 00:01:14.12
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 : 4067.53
p-value of test : 0.71
-----------------------------------------------
CPU time used : 00:01:17.76
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 :11821.41
p-value of test : 0.51
-----------------------------------------------
CPU time used : 00:01:22.35
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 :12125.17
p-value of test : 0.03
-----------------------------------------------
CPU time used : 00:01:25.95
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 : 65.30
p-value of test : 0.14
-----------------------------------------------
Total number of bits: 7999964745
Normal statistic for number of bits : -0.28
p-value of test : 0.61
-----------------------------------------------
CPU time used : 00:00:58.51
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 : 54.91
p-value of test : 0.44
-----------------------------------------------
Total number of bits: 8000039955
Normal statistic for number of bits : 0.32
p-value of test : 0.38
-----------------------------------------------
CPU time used : 00:00:59.71
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+ : 0.23
p-value of test : 0.29
Kolmogorov-Smirnov- statistic = D- : 0.010
p-value of test : 0.99
Anderson-Darling statistic = A2 : 1.37
p-value of test : 0.21
Tests on the sum of all N observations
Standardized normal statistic : -1.60
p-value of test : 0.95
Sample variance : 1.27
p-value of test : 0.25
-----------------------------------------------
CPU time used : 00:02:04.26
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+ : 0.30
p-value of test : 0.14
Kolmogorov-Smirnov- statistic = D- : 0.063
p-value of test : 0.89
Anderson-Darling statistic = A2 : 0.75
p-value of test : 0.52
Tests on the sum of all N observations
Standardized normal statistic : -0.98
p-value of test : 0.84
Sample variance : 1.04
p-value of test : 0.41
-----------------------------------------------
CPU time used : 00:01:50.37
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+ : 0.19
p-value of test : 0.42
Kolmogorov-Smirnov- statistic = D- : 0.18
p-value of test : 0.47
Anderson-Darling statistic = A2 : 0.99
p-value of test : 0.36
Tests on the sum of all N observations
Standardized normal statistic : -1.06
p-value of test : 0.85
Sample variance : 1.43
p-value of test : 0.17
-----------------------------------------------
CPU time used : 00:02:06.19
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+ : 0.33
p-value of test : 0.09
Kolmogorov-Smirnov- statistic = D- : 0.046
p-value of test : 0.93
Anderson-Darling statistic = A2 : 1.22
p-value of test : 0.26
Tests on the sum of all N observations
Standardized normal statistic : -1.25
p-value of test : 0.89
Sample variance : 0.50
p-value of test : 0.88
-----------------------------------------------
CPU time used : 00:01:51.80
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: 02:33:18.37
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
----------------------------------------------
80 LinearComp, r = 0 1 - eps1
----------------------------------------------
All other tests were passed