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==seed: 12345678
==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 : 0.13
-----------------------------------------------
CPU time used : 00:00:56.71
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 : 0.90
-----------------------------------------------
CPU time used : 00:00:56.07
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 = 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 : 1357
p-value of test : 0.57
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334477
j = 1 : 599997286
j = 2 : 1357
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:01:54.46
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 : 1392
p-value of test : 0.23
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334512
j = 1 : 599997216
j = 2 : 1392
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:01:57.35
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 : 1407
p-value of test : 0.13
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334527
j = 1 : 599997186
j = 2 : 1407
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:24.63
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 : 1338
p-value of test : 0.76
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334458
j = 1 : 599997324
j = 2 : 1338
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:28.66
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 : 1368
p-value of test : 0.46
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334488
j = 1 : 599997264
j = 2 : 1368
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:27.44
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 = 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 : 1360
p-value of test : 0.54
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334480
j = 1 : 599997280
j = 2 : 1360
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:32.50
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 = 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 : 1419
p-value of test : 0.07
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334539
j = 1 : 599997162
j = 2 : 1419
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:26.24
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 : 1346
p-value of test : 0.68
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334466
j = 1 : 599997308
j = 2 : 1346
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:30.07
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 = 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 : 1372
p-value of test : 0.42
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334492
j = 1 : 599997256
j = 2 : 1372
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:23.26
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 : 1407
p-value of test : 0.13
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334527
j = 1 : 599997186
j = 2 : 1407
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:27.44
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 : 00:03:03.24
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 : 4448
p-value of test : 0.05
-----------------------------------------------
CPU time used : 00:01:18.96
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 : 7304
p-value of test : 0.56
-----------------------------------------------
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 : 4340
p-value of test : 0.48
-----------------------------------------------
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 : 4360
p-value of test : 0.36
-----------------------------------------------
CPU time used : 00:01:34.76
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 : 7203
p-value of test : 0.91
-----------------------------------------------
CPU time used : 00:02:29.61
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 : 7388
p-value of test : 0.21
-----------------------------------------------
CPU time used : 00:02:29.59
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 : 7310
p-value of test : 0.54
-----------------------------------------------
CPU time used : 00:03:06.28
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 : 7255
p-value of test : 0.77
-----------------------------------------------
CPU time used : 00:03:15.44
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) : 1.08
p-value of test : 0.32
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) : 0.36
p-value of test : 0.89
Test on the Nm values of W_{n,i}(mNP1): 1.07
p-value of test : 0.32
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 900
Number of jumps of Y : 855
p-value of test : 0.93
Stat. AD (mNP2) : 2.36
p-value of test : 0.06
Stat. AD after spacings (mNP2-S) : 0.57
p-value of test : 0.67
-----------------------------------------------
CPU time used : 00:02:06.76
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) : 2.24
p-value of test : 0.07
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) : 0.63
p-value of test : 0.62
Test on the Nm values of W_{n,i}(mNP1): 0.53
p-value of test : 0.72
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 600
Number of jumps of Y : 593
p-value of test : 0.60
Stat. AD (mNP2) : 1.22
p-value of test : 0.26
Stat. AD after spacings (mNP2-S) : 2.64
p-value of test : 0.04
-----------------------------------------------
CPU time used : 00:01:25.26
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) : 0.53
p-value of test : 0.71
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) : 2.37
p-value of test : 0.06
Test on the Nm values of W_{n,i}(mNP1): 0.41
p-value of test : 0.84
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 300
Number of jumps of Y : 296
p-value of test : 0.58
Stat. AD (mNP2) : 0.55
p-value of test : 0.70
Stat. AD after spacings (mNP2-S) : 0.43
p-value of test : 0.82
-----------------------------------------------
CPU time used : 00:02:15.25
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) : 0.58
p-value of test : 0.66
A2 test based on the spacings between the
successive jump times of process Y_n(t):
A2 test on the values of A2 (m-NP) : 2.15
p-value of test : 0.08
Test on the Nm values of W_{n,i}(mNP1): 1.44
p-value of test : 0.19
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 150
Number of jumps of Y : 137
p-value of test : 0.85
Stat. AD (mNP2) : 0.76
p-value of test : 0.51
Stat. AD after spacings (mNP2-S) : 0.45
p-value of test : 0.80
-----------------------------------------------
CPU time used : 00:02:33.92
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 : 20.27
p-value of test : 5.0e-3
-----------------------------------------------
CPU time used : 00:00:44.40
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 : 0.63
p-value of test : 0.9988
-----------------------------------------------
CPU time used : 00:00:50.36
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 : 13.73
p-value of test : 0.75
-----------------------------------------------
CPU time used : 00:00:46.11
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 : 17.70
p-value of test : 0.48
-----------------------------------------------
CPU time used : 00:00:52.46
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 : 40.18
p-value of test : 0.92
-----------------------------------------------
CPU time used : 00:00:54.84
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 : 76.02
p-value of test : 0.03
-----------------------------------------------
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 : 39.06
p-value of test : 0.94
-----------------------------------------------
CPU time used : 00:01:03.67
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 : 41.28
p-value of test : 0.90
-----------------------------------------------
CPU time used : 00:01:03.69
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 : 238.05
p-value of test : 0.38
-----------------------------------------------
CPU time used : 00:01:04.53
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 : 429.44
p-value of test : 0.55
-----------------------------------------------
CPU time used : 00:01:32.19
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 : 1321.99
p-value of test : 0.99
-----------------------------------------------
CPU time used : 00:01:32.78
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 : 7263.47
p-value of test : 0.03
-----------------------------------------------
CPU time used : 00:01:33.26
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+ : 0.25
p-value of test : 0.46
Kolmogorov-Smirnov- statistic = D- : 0.35
p-value of test : 0.23
Anderson-Darling statistic = A2 : 0.68
p-value of test : 0.57
Test on the sum of all N observations
Number of degrees of freedom : 30
Chi-square statistic : 28.16
p-value of test : 0.56
-----------------------------------------------
CPU time used : 00:01:04.73
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+ : 0.12
p-value of test : 0.70
Kolmogorov-Smirnov- statistic = D- : 0.22
p-value of test : 0.34
Anderson-Darling statistic = A2 : 0.60
p-value of test : 0.64
Test on the sum of all N observations
Number of degrees of freedom : 60
Chi-square statistic : 62.65
p-value of test : 0.38
-----------------------------------------------
CPU time used : 00:02:31.72
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 : 2.28
p-value of test : 0.81
-----------------------------------------------
CPU time used : 00:00:44.38
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 : 116.82
p-value of test : 0.54
-----------------------------------------------
CPU time used : 00:01:18.81
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 : 5000.92
p-value of test : 0.65
-----------------------------------------------
CPU time used : 00:01:01.88
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 : 0.07
-----------------------------------------------
CPU time used : 00:02:22.14
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 : 45830
p-value of test : 0.59
-----------------------------
Total number of cells containing j balls
j = 0 : 1743165869830
j = 1 : 399908344
j = 2 : 45822
j = 3 : 4
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:03:36.67
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 : 45559
p-value of test : 0.93
-----------------------------
Total number of cells containing j balls
j = 0 : 1743165869559
j = 1 : 399908884
j = 2 : 45555
j = 3 : 2
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:03:46.88
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+ : 0.064
p-value of test : 0.69
Kolmogorov-Smirnov- statistic = D- : 0.053
p-value of test : 0.77
Anderson-Darling statistic = A2 : 0.36
p-value of test : 0.89
Test on the sum of all N observations
Number of degrees of freedom : 3999960
Chi-square statistic : 4.00e+6
p-value of test : 0.69
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.092
p-value of test : 0.48
Kolmogorov-Smirnov- statistic = D- : 0.073
p-value of test : 0.62
Anderson-Darling statistic = A2 : 0.39
p-value of test : 0.86
-----------------------------------------------
CPU time used : 00:02:06.15
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+ : 0.016
p-value of test : 0.98
Kolmogorov-Smirnov- statistic = D- : 0.31
p-value of test : 2.6e-3
Anderson-Darling statistic = A2 : 4.55
p-value of test : 4.8e-3
Test on the sum of all N observations
Number of degrees of freedom : 2999970
Chi-square statistic : 3.01e+6
p-value of test : 2.0e-3
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.064
p-value of test : 0.75
Kolmogorov-Smirnov- statistic = D- : 0.11
p-value of test : 0.45
Anderson-Darling statistic = A2 : 0.42
p-value of test : 0.83
-----------------------------------------------
CPU time used : 00:01:51.27
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+ : 0.053
p-value of test : 0.86
Kolmogorov-Smirnov- statistic = D- : 0.20
p-value of test : 0.18
Anderson-Darling statistic = A2 : 1.17
p-value of test : 0.28
Test on the sum of all N observations
Number of degrees of freedom : 1999980
Chi-square statistic : 2.00e+6
p-value of test : 0.11
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.21
p-value of test : 0.16
Kolmogorov-Smirnov- statistic = D- : 0.026
p-value of test : 0.96
Anderson-Darling statistic = A2 : 1.22
p-value of test : 0.26
-----------------------------------------------
CPU time used : 00:01:22.94
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+ : 0.085
p-value of test : 0.71
Kolmogorov-Smirnov- statistic = D- : 0.16
p-value of test : 0.34
Anderson-Darling statistic = A2 : 0.54
p-value of test : 0.70
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+ : 0.073
p-value of test : 0.77
Kolmogorov-Smirnov- statistic = D- : 0.21
p-value of test : 0.15
Anderson-Darling statistic = A2 : 1.06
p-value of test : 0.33
-----------------------------------------------
CPU time used : 00:01:32.65
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+ : 0.049
p-value of test : 0.80
Kolmogorov-Smirnov- statistic = D- : 0.14
p-value of test : 0.18
Anderson-Darling statistic = A2 : 1.41
p-value of test : 0.20
-----------------------------------------------
CPU time used : 00:01:28.22
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+ : 0.11
p-value of test : 0.58
Kolmogorov-Smirnov- statistic = D- : 0.086
p-value of test : 0.70
Anderson-Darling statistic = A2 : 0.26
p-value of test : 0.96
-----------------------------------------------
CPU time used : 00:01:00.28
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+ : 0.11
p-value of test : 0.59
Kolmogorov-Smirnov- statistic = D- : 0.20
p-value of test : 0.18
Anderson-Darling statistic = A2 : 0.76
p-value of test : 0.51
-----------------------------------------------
CPU time used : 00:01:16.60
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
svaria_SampleMean test:
-----------------------------------------------
N = 20000000, n = 30, r = 0
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 1.19e-4
p-value of test : 0.57
Kolmogorov-Smirnov- statistic = D- : 1.92e-4
p-value of test : 0.23
Anderson-Darling statistic = A2 : 0.75
p-value of test : 0.52
-----------------------------------------------
CPU time used : 00:00:21.15
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
svaria_SampleMean test:
-----------------------------------------------
N = 20000000, n = 30, r = 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 2.42e-4
p-value of test : 0.10
Kolmogorov-Smirnov- statistic = D- : 7.74e-5
p-value of test : 0.79
Anderson-Darling statistic = A2 : 1.81
p-value of test : 0.12
-----------------------------------------------
CPU time used : 00:00:22.31
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
svaria_SampleCorr test:
-----------------------------------------------
N = 1, n = 2000000000, r = 0, k = 1
-----------------------------------------------
Normal statistic : 0.99
p-value of test : 0.16
-----------------------------------------------
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 : -0.99
p-value of test : 0.84
-----------------------------------------------
CPU time used : 00:00:16.47
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 : 0.26
p-value of test : 0.40
-----------------------------------------------
CPU time used : 00:01:10.18
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 : -0.55
p-value of test : 0.71
-----------------------------------------------
CPU time used : 00:01:13.43
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 : 61.03
p-value of test : 0.68
-----------------------------------------------
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 : 58.97
p-value of test : 0.75
-----------------------------------------------
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 : 66.64
p-value of test : 0.49
-----------------------------------------------
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 : 31.29
p-value of test : 0.73
-----------------------------------------------
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 : 27.01
p-value of test : 0.89
-----------------------------------------------
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 : 52.25
p-value of test : 0.05
-----------------------------------------------
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 : 29.11
p-value of test : 0.46
-----------------------------------------------
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+ : 0.35
p-value of test : 0.07
Kolmogorov-Smirnov- statistic = D- : 0.12
p-value of test : 0.71
Anderson-Darling statistic = A2 : 1.09
p-value of test : 0.31
Test on the sum of all N observations
Number of degrees of freedom : 40
Chi-square statistic : 33.41
p-value of test : 0.76
-----------------------------------------------
CPU time used : 00:00:56.72
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+ : 0.17
p-value of test : 0.51
Kolmogorov-Smirnov- statistic = D- : 0.054
p-value of test : 0.91
Anderson-Darling statistic = A2 : 0.54
p-value of test : 0.71
Test on the sum of all N observations
Number of degrees of freedom : 40
Chi-square statistic : 34.27
p-value of test : 0.73
-----------------------------------------------
CPU time used : 00:00:56.72
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 : 7.11
p-value of test : 0.07
-----------------------------------------------
CPU time used : 00:01:44.94
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 : 3.43
p-value of test : 0.33
-----------------------------------------------
CPU time used : 00:01:45.01
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 : 1.63
p-value of test : 0.44
-----------------------------------------------
CPU time used : 00:01:09.15
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 : 0.41
p-value of test : 0.82
-----------------------------------------------
CPU time used : 00:00:54.39
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+ : 0.057
p-value of test : 0.91
Kolmogorov-Smirnov- statistic = D- : 0.37
p-value of test : 0.05
Anderson-Darling statistic = A2 : 2.03
p-value of test : 0.09
Test on the sum of all N observations
Number of degrees of freedom : 130
Chi-square statistic : 167.16
p-value of test : 0.02
-----------------------------------------------
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+ : 0.20
p-value of test : 0.38
Kolmogorov-Smirnov- statistic = D- : 0.17
p-value of test : 0.49
Anderson-Darling statistic = A2 : 0.60
p-value of test : 0.64
Test on the sum of all N observations
Number of degrees of freedom : 17430
Chi-square statistic :17348.90
p-value of test : 0.67
-----------------------------------------------
CPU time used : 00:01:30.35
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 : 33.47
p-value of test : 0.59
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 35
ChiSquare statistic : 43.73
p-value of test : 0.15
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 25
ChiSquare statistic : 19.81
p-value of test : 0.76
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 24
ChiSquare statistic : 22.88
p-value of test : 0.53
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 17
ChiSquare statistic : 14.82
p-value of test : 0.61
-----------------------------------------------
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 : 31.58
p-value of test : 0.68
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 35
ChiSquare statistic : 25.35
p-value of test : 0.88
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 25
ChiSquare statistic : 29.45
p-value of test : 0.25
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 24
ChiSquare statistic : 36.22
p-value of test : 0.05
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 17
ChiSquare statistic : 14.87
p-value of test : 0.60
-----------------------------------------------
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 : 138.74
p-value of test : 0.65
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 146
ChiSquare statistic : 139.64
p-value of test : 0.63
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 500
ChiSquare statistic : 499.76
p-value of test : 0.49
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 136
ChiSquare statistic : 113.40
p-value of test : 0.92
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 74
ChiSquare statistic : 76.78
p-value of test : 0.39
-----------------------------------------------
CPU time used : 00:00:39.80
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 : 153.87
p-value of test : 0.31
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 146
ChiSquare statistic : 118.67
p-value of test : 0.95
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 500
ChiSquare statistic : 484.00
p-value of test : 0.69
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 136
ChiSquare statistic : 148.80
p-value of test : 0.21
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 74
ChiSquare statistic : 70.88
p-value of test : 0.58
-----------------------------------------------
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 : 404.30
p-value of test : 0.23
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 384
ChiSquare statistic : 390.98
p-value of test : 0.39
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 5000
ChiSquare statistic : 4830.84
p-value of test : 0.96
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 378
ChiSquare statistic : 425.55
p-value of test : 0.05
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 200
ChiSquare statistic : 224.10
p-value of test : 0.12
-----------------------------------------------
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 : 365.66
p-value of test : 0.74
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 384
ChiSquare statistic : 371.27
p-value of test : 0.67
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 5000
ChiSquare statistic : 5039.00
p-value of test : 0.35
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 378
ChiSquare statistic : 323.46
p-value of test : 0.98
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 200
ChiSquare statistic : 176.93
p-value of test : 0.88
-----------------------------------------------
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 : 7.10
p-value of test : 0.85
-----------------------------------------------
Normal statistic for number of jumps : -444.89
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 : 9.43
p-value of test : 0.67
-----------------------------------------------
Normal statistic for number of jumps : 0.68
p-value of test : 0.25
-----------------------------------------------
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+ : 0.11
p-value of test : 0.71
Kolmogorov-Smirnov- statistic = D- : 0.18
p-value of test : 0.47
Anderson-Darling statistic = A2 : 0.50
p-value of test : 0.74
Tests on the sum of all N observations
Standardized normal statistic : 0.66
p-value of test : 0.26
Sample variance : 1.38
p-value of test : 0.19
-----------------------------------------------
CPU time used : 00:00:54.01
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+ : 0.074
p-value of test : 0.86
Kolmogorov-Smirnov- statistic = D- : 0.22
p-value of test : 0.33
Anderson-Darling statistic = A2 : 0.40
p-value of test : 0.84
Tests on the sum of all N observations
Standardized normal statistic : 0.49
p-value of test : 0.31
Sample variance : 0.72
p-value of test : 0.69
-----------------------------------------------
CPU time used : 00:00:59.10
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+ : 0.015
p-value of test : 0.15
Kolmogorov-Smirnov- statistic = D- : 0.012
p-value of test : 0.32
Anderson-Darling statistic = A2 : 1.22
p-value of test : 0.26
-----------------------------------------------
CPU time used : 00:00:32.93
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+ : 0.012
p-value of test : 0.31
Kolmogorov-Smirnov- statistic = D- : 9.65e-3
p-value of test : 0.46
Anderson-Darling statistic = A2 : 0.70
p-value of test : 0.56
-----------------------------------------------
CPU time used : 00:00:31.89
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 : 9.89
p-value of test : 0.27
-----------------------------------------------
Global longest run of 1 : 36.00
p-value of test : 0.07
-----------------------------------------------
CPU time used : 00:01:13.52
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 : 13.35
p-value of test : 0.10
-----------------------------------------------
Global longest run of 1 : 33.00
p-value of test : 0.44
-----------------------------------------------
CPU time used : 00:01:15.56
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+ : 0.24
p-value of test : 0.28
Kolmogorov-Smirnov- statistic = D- : 0.079
p-value of test : 0.84
Anderson-Darling statistic = A2 : 0.76
p-value of test : 0.51
Test on the sum of all N observations
Number of degrees of freedom : 200
Chi-square statistic : 182.01
p-value of test : 0.81
-----------------------------------------------
CPU time used : 00:01:48.02
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+ : 0.31
p-value of test : 0.11
Kolmogorov-Smirnov- statistic = D- : 3.59e-3
p-value of test : 0.9963
Anderson-Darling statistic = A2 : 1.98
p-value of test : 0.09
Test on the sum of all N observations
Number of degrees of freedom : 200
Chi-square statistic : 161.58
p-value of test : 0.98
-----------------------------------------------
CPU time used : 00:01:50.30
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+ : 0.16
p-value of test : 0.55
Kolmogorov-Smirnov- statistic = D- : 0.38
p-value of test : 0.04
Anderson-Darling statistic = A2 : 1.42
p-value of test : 0.20
Test on the sum of all N observations
Number of degrees of freedom : 10000
Chi-square statistic :10163.21
p-value of test : 0.12
-----------------------------------------------
CPU time used : 00:00:45.68
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+ : 0.25
p-value of test : 0.25
Kolmogorov-Smirnov- statistic = D- : 6.93e-3
p-value of test : 0.9926
Anderson-Darling statistic = A2 : 1.20
p-value of test : 0.27
Test on the sum of all N observations
Number of degrees of freedom : 10000
Chi-square statistic : 9781.71
p-value of test : 0.94
-----------------------------------------------
CPU time used : 00:00:47.43
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 : -1.09
p-value of test : 0.86
-----------------------------------------------
CPU time used : 00:00:57.06
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 : 0.87
p-value of test : 0.19
-----------------------------------------------
CPU time used : 00:00:55.38
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 : 1.41
p-value of test : 0.08
-----------------------------------------------
CPU time used : 00:03:39.47
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+ : 0.16
p-value of test : 0.55
Kolmogorov-Smirnov- statistic = D- : 0.22
p-value of test : 0.34
Anderson-Darling statistic = A2 : 0.65
p-value of test : 0.60
Test on the sum of all N observations
Number of degrees of freedom : 4890
Chi-square statistic : 4924.14
p-value of test : 0.36
-----------------------------------------------
CPU time used : 00:01:28.67
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+ : 0.23
p-value of test : 0.30
Kolmogorov-Smirnov- statistic = D- : 0.28
p-value of test : 0.18
Anderson-Darling statistic = A2 : 1.24
p-value of test : 0.25
Test on the sum of all N observations
Number of degrees of freedom : 4890
Chi-square statistic : 4907.18
p-value of test : 0.43
-----------------------------------------------
CPU time used : 00:01:31.88
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 : 4151.70
p-value of test : 0.35
-----------------------------------------------
CPU time used : 00:01:06.09
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 : 4022.90
p-value of test : 0.85
-----------------------------------------------
CPU time used : 00:01:08.39
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 :11645.38
p-value of test : 0.88
-----------------------------------------------
CPU time used : 00:01:12.63
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 :11976.10
p-value of test : 0.16
-----------------------------------------------
CPU time used : 00:01:15.39
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 : 59.34
p-value of test : 0.29
-----------------------------------------------
Total number of bits: 8000173590
Normal statistic for number of bits : 1.37
p-value of test : 0.08
-----------------------------------------------
CPU time used : 00:00:58.57
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 : 57.83
p-value of test : 0.34
-----------------------------------------------
Total number of bits: 7999973928
Normal statistic for number of bits : -0.21
p-value of test : 0.58
-----------------------------------------------
CPU time used : 00:00:59.80
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+ : 0.080
p-value of test : 0.84
Kolmogorov-Smirnov- statistic = D- : 0.30
p-value of test : 0.14
Anderson-Darling statistic = A2 : 0.92
p-value of test : 0.40
Tests on the sum of all N observations
Standardized normal statistic : 0.99
p-value of test : 0.16
Sample variance : 0.61
p-value of test : 0.79
-----------------------------------------------
CPU time used : 00:02:04.39
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+ : 0.10
p-value of test : 0.76
Kolmogorov-Smirnov- statistic = D- : 0.25
p-value of test : 0.25
Anderson-Darling statistic = A2 : 0.98
p-value of test : 0.37
Tests on the sum of all N observations
Standardized normal statistic : 1.20
p-value of test : 0.12
Sample variance : 1.11
p-value of test : 0.35
-----------------------------------------------
CPU time used : 00:01:50.34
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+ : 0.023
p-value of test : 0.97
Kolmogorov-Smirnov- statistic = D- : 0.39
p-value of test : 0.04
Anderson-Darling statistic = A2 : 2.56
p-value of test : 0.05
Tests on the sum of all N observations
Standardized normal statistic : 2.02
p-value of test : 0.02
Sample variance : 1.05
p-value of test : 0.40
-----------------------------------------------
CPU time used : 00:02:06.00
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+ : 0.21
p-value of test : 0.36
Kolmogorov-Smirnov- statistic = D- : 0.37
p-value of test : 0.05
Anderson-Darling statistic = A2 : 1.25
p-value of test : 0.25
Tests on the sum of all N observations
Standardized normal statistic : 0.48
p-value of test : 0.32
Sample variance : 0.31
p-value of test : 0.97
-----------------------------------------------
CPU time used : 00:01:51.70
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: 02:32:21.92
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