/testingRNG

Permalink
Switch branches/tags
Nothing to show
Find file
testingRNG/testu01/results/testxorshift1024star-b.log
Fetching contributors…
Cannot retrieve contributors at this time
Raw Blame History
3792 lines (2172 sloc) 93.8 KB
==seed: 12345678
==xorshift1024star
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Starting BigCrush
Version: TestU01 1.2.3
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
***********************************************************
Test smarsa_SerialOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 1, n = 1000000000, r = 0, d = 256, t = 3,
Sparse = FALSE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 16777216
Expected number per cell = 59.604645
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 0.0083558402, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Number of degrees of freedom : 16711680
Value of the statistic : 1.67e+7
p-value of test : 0.08
-----------------------------------------------
CPU time used : 00:00:50.39
Generator state:
***********************************************************
Test smarsa_SerialOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 1, n = 1000000000, r = 22, d = 256, t = 3,
Sparse = FALSE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 16777216
Expected number per cell = 59.604645
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 0.0083558402, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Number of degrees of freedom : 16711680
Value of the statistic : 1.67e+7
p-value of test : 0.47
-----------------------------------------------
CPU time used : 00:00:51.81
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 0, d = 2097152, t = 2,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1313
p-value of test : 0.92
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334433
j = 1 : 599997374
j = 2 : 1313
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:01:47.06
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 9, d = 2097152, t = 2,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1428
p-value of test : 0.04
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334548
j = 1 : 599997144
j = 2 : 1428
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:01:50.70
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 0, d = 16384, t = 3,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1316
p-value of test : 0.90
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334436
j = 1 : 599997368
j = 2 : 1316
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:15.31
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 16, d = 16384, t = 3,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1330
p-value of test : 0.82
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334450
j = 1 : 599997340
j = 2 : 1330
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:16.87
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 0, d = 64, t = 7,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1367
p-value of test : 0.47
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334487
j = 1 : 599997266
j = 2 : 1367
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:18.12
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 24, d = 64, t = 7,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1412
p-value of test : 0.10
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334532
j = 1 : 599997176
j = 2 : 1412
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:19.62
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 0, d = 8, t = 14,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1382
p-value of test : 0.32
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334502
j = 1 : 599997236
j = 2 : 1382
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:17.46
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 27, d = 8, t = 14,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1349
p-value of test : 0.65
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334469
j = 1 : 599997302
j = 2 : 1349
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:20.02
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 0, d = 4, t = 21,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1348
p-value of test : 0.66
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334468
j = 1 : 599997304
j = 2 : 1348
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:16.26
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 28, d = 4, t = 21,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1389
p-value of test : 0.25
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334509
j = 1 : 599997222
j = 2 : 1389
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:17.52
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 100, n = 10000000, r = 0, d = 2147483648, t = 2, p = 1
Number of cells = d^t = 4611686018427387904
Lambda = Poisson mean = 54.2101
----------------------------------------------------
Total expected number = N*Lambda : 5421.01
Total observed number : 5484
p-value of test : 0.20
-----------------------------------------------
CPU time used : 00:02:58.45
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 20000000, r = 0, d = 2097152, t = 3, p = 1
Number of cells = d^t = 9223372036854775808
Lambda = Poisson mean = 216.8404
----------------------------------------------------
Total expected number = N*Lambda : 4336.81
Total observed number : 4271
p-value of test : 0.84
-----------------------------------------------
CPU time used : 00:01:15.94
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 30000000, r = 14, d = 65536, t = 4, p = 1
Number of cells = d^t = 18446744073709551616
Lambda = Poisson mean = 365.9182
----------------------------------------------------
Total expected number = N*Lambda : 7318.36
Total observed number : 7287
p-value of test : 0.64
-----------------------------------------------
CPU time used : 00:02:02.18
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 20000000, r = 0, d = 512, t = 7, p = 1
Number of cells = d^t = 9223372036854775808
Lambda = Poisson mean = 216.8404
----------------------------------------------------
Total expected number = N*Lambda : 4336.81
Total observed number : 4349
p-value of test : 0.43
-----------------------------------------------
CPU time used : 00:01:24.82
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 20000000, r = 7, d = 512, t = 7, p = 1
Number of cells = d^t = 9223372036854775808
Lambda = Poisson mean = 216.8404
----------------------------------------------------
Total expected number = N*Lambda : 4336.81
Total observed number : 4300
p-value of test : 0.71
-----------------------------------------------
CPU time used : 00:01:28.16
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 30000000, r = 14, d = 256, t = 8, p = 1
Number of cells = d^t = 18446744073709551616
Lambda = Poisson mean = 365.9182
----------------------------------------------------
Total expected number = N*Lambda : 7318.36
Total observed number : 7414
p-value of test : 0.13
-----------------------------------------------
CPU time used : 00:02:18.53
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 30000000, r = 22, d = 256, t = 8, p = 1
Number of cells = d^t = 18446744073709551616
Lambda = Poisson mean = 365.9182
----------------------------------------------------
Total expected number = N*Lambda : 7318.36
Total observed number : 7349
p-value of test : 0.36
-----------------------------------------------
CPU time used : 00:02:18.32
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 30000000, r = 0, d = 16, t = 16, p = 1
Number of cells = d^t = 18446744073709551616
Lambda = Poisson mean = 365.9182
----------------------------------------------------
Total expected number = N*Lambda : 7318.36
Total observed number : 7249
p-value of test : 0.79
-----------------------------------------------
CPU time used : 00:02:42.71
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 20, n = 30000000, r = 26, d = 16, t = 16, p = 1
Number of cells = d^t = 18446744073709551616
Lambda = Poisson mean = 365.9182
----------------------------------------------------
Total expected number = N*Lambda : 7318.36
Total observed number : 7313
p-value of test : 0.52
-----------------------------------------------
CPU time used : 00:02:52.90
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
snpair_ClosePairs test:
-----------------------------------------------
N = 30, n = 6000000, r = 0, t = 3, p = 0, m = 30, Torus = TRUE
---------------------------------------
Test based on the 2 nearest points (NP):
Stat. AD on the N values (NP) : 1.43
p-value of test : 0.19
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) : 0.33
p-value of test : 0.91
Test on the Nm values of W_{n,i}(mNP1): 0.89
p-value of test : 0.42
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 900
Number of jumps of Y : 897
p-value of test : 0.53
Stat. AD (mNP2) : 0.55
p-value of test : 0.70
Stat. AD after spacings (mNP2-S) : 1.81
p-value of test : 0.12
-----------------------------------------------
CPU time used : 00:01:51.00
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
snpair_ClosePairs test:
-----------------------------------------------
N = 20, n = 4000000, r = 0, t = 5, p = 0, m = 30, Torus = TRUE
---------------------------------------
Test based on the 2 nearest points (NP):
Stat. AD on the N values (NP) : 1.05
p-value of test : 0.33
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) : 2.34
p-value of test : 0.06
Test on the Nm values of W_{n,i}(mNP1): 0.65
p-value of test : 0.60
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 600
Number of jumps of Y : 638
p-value of test : 0.06
Stat. AD (mNP2) : 2.06
p-value of test : 0.09
Stat. AD after spacings (mNP2-S) : 0.82
p-value of test : 0.47
-----------------------------------------------
CPU time used : 00:01:14.21
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
snpair_ClosePairs test:
-----------------------------------------------
N = 10, n = 3000000, r = 0, t = 9, p = 0, m = 30, Torus = TRUE
---------------------------------------
Test based on the 2 nearest points (NP):
Stat. AD on the N values (NP) : 3.36
p-value of test : 0.02
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) : 0.56
p-value of test : 0.68
Test on the Nm values of W_{n,i}(mNP1): 1.39
p-value of test : 0.20
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 300
Number of jumps of Y : 279
p-value of test : 0.88
Stat. AD (mNP2) : 0.97
p-value of test : 0.37
Stat. AD after spacings (mNP2-S) : 0.31
p-value of test : 0.93
-----------------------------------------------
CPU time used : 00:02:06.07
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
snpair_ClosePairs test:
-----------------------------------------------
N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30, Torus = TRUE
---------------------------------------
Test based on the 2 nearest points (NP):
Stat. AD on the N values (NP) : 1.04
p-value of test : 0.33
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) : 0.83
p-value of test : 0.45
Test on the Nm values of W_{n,i}(mNP1): 0.19
p-value of test : 0.9937
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 150
Number of jumps of Y : 151
p-value of test : 0.48
Stat. AD (mNP2) : 0.86
p-value of test : 0.44
Stat. AD after spacings (mNP2-S) : 0.67
p-value of test : 0.59
-----------------------------------------------
CPU time used : 00:02:22.69
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 400000000, r = 0, d = 8, k = 8
-----------------------------------------------
Number of degrees of freedom : 7
Chi-square statistic : 6.12
p-value of test : 0.53
-----------------------------------------------
CPU time used : 00:00:35.65
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 400000000, r = 27, d = 8, k = 8
-----------------------------------------------
Number of degrees of freedom : 7
Chi-square statistic : 6.55
p-value of test : 0.48
-----------------------------------------------
CPU time used : 00:00:42.48
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 100000000, r = 0, d = 32, k = 32
-----------------------------------------------
Number of degrees of freedom : 18
Chi-square statistic : 16.63
p-value of test : 0.55
-----------------------------------------------
CPU time used : 00:00:37.26
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 100000000, r = 25, d = 32, k = 32
-----------------------------------------------
Number of degrees of freedom : 18
Chi-square statistic : 12.18
p-value of test : 0.84
-----------------------------------------------
CPU time used : 00:00:44.40
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 200000000, r = 0, d = 8
-----------------------------------------------
Number of degrees of freedom : 54
Chi-square statistic : 61.52
p-value of test : 0.22
-----------------------------------------------
CPU time used : 00:00:44.63
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 200000000, r = 10, d = 8
-----------------------------------------------
Number of degrees of freedom : 54
Chi-square statistic : 56.95
p-value of test : 0.37
-----------------------------------------------
CPU time used : 00:00:53.42
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 200000000, r = 20, d = 8
-----------------------------------------------
Number of degrees of freedom : 54
Chi-square statistic : 44.95
p-value of test : 0.80
-----------------------------------------------
CPU time used : 00:00:53.38
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 200000000, r = 27, d = 8
-----------------------------------------------
Number of degrees of freedom : 54
Chi-square statistic : 65.28
p-value of test : 0.14
-----------------------------------------------
CPU time used : 00:00:53.44
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 500000000, r = 0, Alpha = 0, Beta = 0.0625
-----------------------------------------------
Number of degrees of freedom : 232
Chi-square statistic : 237.34
p-value of test : 0.39
-----------------------------------------------
CPU time used : 00:00:46.13
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 300000000, r = 25, Alpha = 0, Beta = 0.03125
-----------------------------------------------
Number of degrees of freedom : 434
Chi-square statistic : 401.84
p-value of test : 0.86
-----------------------------------------------
CPU time used : 00:01:11.48
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.0078125
-----------------------------------------------
Number of degrees of freedom : 1437
Chi-square statistic : 1377.47
p-value of test : 0.87
-----------------------------------------------
CPU time used : 00:01:03.92
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 10000000, r = 20, Alpha = 0, Beta = 0.000976562
-----------------------------------------------
Number of degrees of freedom : 7046
Chi-square statistic : 7296.27
p-value of test : 0.02
-----------------------------------------------
CPU time used : 00:01:11.51
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_Run test:
-----------------------------------------------
N = 5, n = 1000000000, r = 0, Up = FALSE
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.16
p-value of test : 0.72
Kolmogorov-Smirnov- statistic = D- : 0.42
p-value of test : 0.12
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 : 30
Chi-square statistic : 35.51
p-value of test : 0.22
-----------------------------------------------
CPU time used : 00:00:51.94
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_Run test:
-----------------------------------------------
N = 10, n = 1000000000, r = 15, Up = TRUE
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.34
p-value of test : 0.07
Kolmogorov-Smirnov- statistic = D- : 0.035
p-value of test : 0.95
Anderson-Darling statistic = A2 : 1.45
p-value of test : 0.19
Test on the sum of all N observations
Number of degrees of freedom : 60
Chi-square statistic : 43.12
p-value of test : 0.95
-----------------------------------------------
CPU time used : 00:02:08.21
Generator state:
***********************************************************
Test sknuth_Permutation calling smultin_Multinomial
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_Multinomial test:
-----------------------------------------------
N = 1, n = 1000000000, r = 5, t = 3,
Sparse = FALSE
GenerCell = smultin_GenerCellPermut
Number of cells = t! = 6
Expected number per cell = 1.6666667e+08
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 2.5000002e-09, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Number of degrees of freedom : 5
Value of the statistic : 3.50
p-value of test : 0.62
-----------------------------------------------
CPU time used : 00:00:37.71
Generator state:
***********************************************************
Test sknuth_Permutation calling smultin_Multinomial
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_Multinomial test:
-----------------------------------------------
N = 1, n = 1000000000, r = 5, t = 5,
Sparse = FALSE
GenerCell = smultin_GenerCellPermut
Number of cells = t! = 120
Expected number per cell = 8333333.3
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 5.9500005e-08, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Number of degrees of freedom : 119
Value of the statistic : 111.86
p-value of test : 0.67
-----------------------------------------------
CPU time used : 00:01:06.90
Generator state:
***********************************************************
Test sknuth_Permutation calling smultin_Multinomial
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_Multinomial test:
-----------------------------------------------
N = 1, n = 500000000, r = 5, t = 7,
Sparse = FALSE
GenerCell = smultin_GenerCellPermut
Number of cells = t! = 5040
Expected number per cell = 99206.349
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 5.0390004e-06, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Number of degrees of freedom : 5039
Value of the statistic : 5048.80
p-value of test : 0.46
-----------------------------------------------
CPU time used : 00:00:53.46
Generator state:
***********************************************************
Test sknuth_Permutation calling smultin_Multinomial
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_Multinomial test:
-----------------------------------------------
N = 1, n = 500000000, r = 10, t = 10,
Sparse = FALSE
GenerCell = smultin_GenerCellPermut
Number of cells = t! = 3628800
Expected number per cell = 137.7866
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 0.0036287993, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Number of degrees of freedom : 3628799
Value of the statistic : 3.62e+6
p-value of test : 0.98
-----------------------------------------------
CPU time used : 00:02:10.81
Generator state:
***********************************************************
Test sknuth_CollisionPermut calling smultin_Multinomial
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_Multinomial test:
-----------------------------------------------
N = 20, n = 20000000, r = 0, t = 14,
Sparse = TRUE
GenerCell = smultin_GenerCellPermut
Number of cells = t! = 87178291200
Expected number per cell = 1 / 4358.9146
EColl = n^2 / (2k) = 2294.14912
Hashing = TRUE
Collision test, Mu = 2293.9736, Sigma = 47.8841
-----------------------------------------------
Test Results for Collisions
For the total number of collisions, we use
the Poisson approximation:
Expected number of collisions = N*Mu : 45879.47
Observed number of collisions : 45659
p-value of test : 0.85
-----------------------------
Total number of cells containing j balls
j = 0 : 1743165869659
j = 1 : 399908684
j = 2 : 45655
j = 3 : 2
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:03:25.35
Generator state:
***********************************************************
Test sknuth_CollisionPermut calling smultin_Multinomial
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smultin_Multinomial test:
-----------------------------------------------
N = 20, n = 20000000, r = 10, t = 14,
Sparse = TRUE
GenerCell = smultin_GenerCellPermut
Number of cells = t! = 87178291200
Expected number per cell = 1 / 4358.9146
EColl = n^2 / (2k) = 2294.14912
Hashing = TRUE
Collision test, Mu = 2293.9736, Sigma = 47.8841
-----------------------------------------------
Test Results for Collisions
For the total number of collisions, we use
the Poisson approximation:
Expected number of collisions = N*Mu : 45879.47
Observed number of collisions : 46030
p-value of test : 0.24
-----------------------------
Total number of cells containing j balls
j = 0 : 1743165870030
j = 1 : 399907942
j = 2 : 46026
j = 3 : 2
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:03:31.77
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_MaxOft test:
-----------------------------------------------
N = 40, n = 10000000, r = 0, d = 100000, t = 8
Number of categories = 100000
Expected number per category = 100.00
-----------------------------------------------
Test results for chi2 with 99999 degrees of freedom:
Kolmogorov-Smirnov+ statistic = D+ : 0.21
p-value of test : 0.03
Kolmogorov-Smirnov- statistic = D- : 0.016
p-value of test : 0.97
Anderson-Darling statistic = A2 : 2.76
p-value of test : 0.04
Test on the sum of all N observations
Number of degrees of freedom : 3999960
Chi-square statistic : 3.99e+6
p-value of test : 0.98
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.17
p-value of test : 0.10
Kolmogorov-Smirnov- statistic = D- : 0.14
p-value of test : 0.17
Anderson-Darling statistic = A2 : 1.46
p-value of test : 0.19
-----------------------------------------------
CPU time used : 00:01:58.77
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_MaxOft test:
-----------------------------------------------
N = 30, n = 10000000, r = 0, d = 100000, t = 16
Number of categories = 100000
Expected number per category = 100.00
-----------------------------------------------
Test results for chi2 with 99999 degrees of freedom:
Kolmogorov-Smirnov+ statistic = D+ : 0.078
p-value of test : 0.66
Kolmogorov-Smirnov- statistic = D- : 0.13
p-value of test : 0.35
Anderson-Darling statistic = A2 : 0.40
p-value of test : 0.85
Test on the sum of all N observations
Number of degrees of freedom : 2999970
Chi-square statistic : 3.00e+6
p-value of test : 0.55
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.072
p-value of test : 0.70
Kolmogorov-Smirnov- statistic = D- : 0.074
p-value of test : 0.68
Anderson-Darling statistic = A2 : 0.20
p-value of test : 0.99
-----------------------------------------------
CPU time used : 00:01:41.35
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_MaxOft test:
-----------------------------------------------
N = 20, n = 10000000, r = 0, d = 100000, t = 24
Number of categories = 100000
Expected number per category = 100.00
-----------------------------------------------
Test results for chi2 with 99999 degrees of freedom:
Kolmogorov-Smirnov+ statistic = D+ : 0.14
p-value of test : 0.43
Kolmogorov-Smirnov- statistic = D- : 0.064
p-value of test : 0.81
Anderson-Darling statistic = A2 : 0.36
p-value of test : 0.88
Test on the sum of all N observations
Number of degrees of freedom : 1999980
Chi-square statistic : 2.00e+6
p-value of test : 0.65
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.068
p-value of test : 0.80
Kolmogorov-Smirnov- statistic = D- : 0.19
p-value of test : 0.20
Anderson-Darling statistic = A2 : 1.13
p-value of test : 0.30
-----------------------------------------------
CPU time used : 00:01:15.35
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sknuth_MaxOft test:
-----------------------------------------------
N = 20, n = 10000000, r = 0, d = 100000, t = 32
Number of categories = 100000
Expected number per category = 100.00
-----------------------------------------------
Test results for chi2 with 99999 degrees of freedom:
Kolmogorov-Smirnov+ statistic = D+ : 0.27
p-value of test : 0.05
Kolmogorov-Smirnov- statistic = D- : 0.13
p-value of test : 0.47
Anderson-Darling statistic = A2 : 1.55
p-value of test : 0.17
Test on the sum of all N observations
Number of degrees of freedom : 1999980
Chi-square statistic : 2.00e+6
p-value of test : 0.73
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.032
p-value of test : 0.94
Kolmogorov-Smirnov- statistic = D- : 0.13
p-value of test : 0.47
Anderson-Darling statistic = A2 : 0.32
p-value of test : 0.92
-----------------------------------------------
CPU time used : 00:01:22.56
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_SampleProd test:
-----------------------------------------------
N = 40, n = 10000000, r = 0, t = 8
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.13
p-value of test : 0.21
Kolmogorov-Smirnov- statistic = D- : 0.020
p-value of test : 0.96
Anderson-Darling statistic = A2 : 0.98
p-value of test : 0.37
-----------------------------------------------
CPU time used : 00:01:23.17
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_SampleProd test:
-----------------------------------------------
N = 20, n = 10000000, r = 0, t = 16
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.12
p-value of test : 0.54
Kolmogorov-Smirnov- statistic = D- : 0.083
p-value of test : 0.72
Anderson-Darling statistic = A2 : 0.30
p-value of test : 0.94
-----------------------------------------------
CPU time used : 00:00:55.17
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_SampleProd test:
-----------------------------------------------
N = 20, n = 10000000, r = 0, t = 24
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.22
p-value of test : 0.12
Kolmogorov-Smirnov- statistic = D- : 0.048
p-value of test : 0.89
Anderson-Darling statistic = A2 : 1.67
p-value of test : 0.14
-----------------------------------------------
CPU time used : 00:01:09.43
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_SampleMean test:
-----------------------------------------------
N = 20000000, n = 30, r = 0
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 1.43e-4
p-value of test : 0.44
Kolmogorov-Smirnov- statistic = D- : 1.00e-4
p-value of test : 0.67
Anderson-Darling statistic = A2 : 0.58
p-value of test : 0.67
-----------------------------------------------
CPU time used : 00:00:20.31
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_SampleMean test:
-----------------------------------------------
N = 20000000, n = 30, r = 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 1.41e-4
p-value of test : 0.45
Kolmogorov-Smirnov- statistic = D- : 9.05e-5
p-value of test : 0.72
Anderson-Darling statistic = A2 : 0.87
p-value of test : 0.43
-----------------------------------------------
CPU time used : 00:00:20.72
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_SampleCorr test:
-----------------------------------------------
N = 1, n = 2000000000, r = 0, k = 1
-----------------------------------------------
Normal statistic : -1.28
p-value of test : 0.90
-----------------------------------------------
CPU time used : 00:00:13.56
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_SampleCorr test:
-----------------------------------------------
N = 1, n = 2000000000, r = 0, k = 2
-----------------------------------------------
Normal statistic : -0.75
p-value of test : 0.77
-----------------------------------------------
CPU time used : 00:00:14.31
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_AppearanceSpacings test:
-----------------------------------------------
N = 1, Q = 10000000, K = 1000000000, r = 0, s = 3, L = 15
Sequences of n = (K + Q)L = 15150000000 bits
Q = 10000000 initialization blocks
K = 1000000000 blocks for the test
the blocks have L = 15 bits
-----------------------------------------------
Normal statistic : -1.04
p-value of test : 0.85
-----------------------------------------------
CPU time used : 00:00:58.73
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_AppearanceSpacings test:
-----------------------------------------------
N = 1, Q = 10000000, K = 1000000000, r = 27, s = 3, L = 15
Sequences of n = (K + Q)L = 15150000000 bits
Q = 10000000 initialization blocks
K = 1000000000 blocks for the test
the blocks have L = 15 bits
-----------------------------------------------
Normal statistic : 2.18
p-value of test : 0.01
-----------------------------------------------
CPU time used : 00:01:01.02
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_WeightDistrib test:
-----------------------------------------------
N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, Beta = 0.25
-----------------------------------------------
Number of degrees of freedom : 67
Chi-square statistic : 92.67
p-value of test : 0.02
-----------------------------------------------
CPU time used : 00:00:24.65
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_WeightDistrib test:
-----------------------------------------------
N = 1, n = 20000000, r = 20, k = 256, Alpha = 0, Beta = 0.25
-----------------------------------------------
Number of degrees of freedom : 67
Chi-square statistic : 65.96
p-value of test : 0.51
-----------------------------------------------
CPU time used : 00:00:35.40
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_WeightDistrib test:
-----------------------------------------------
N = 1, n = 20000000, r = 28, k = 256, Alpha = 0, Beta = 0.25
-----------------------------------------------
Number of degrees of freedom : 67
Chi-square statistic : 72.37
p-value of test : 0.31
-----------------------------------------------
CPU time used : 00:00:35.42
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_WeightDistrib test:
-----------------------------------------------
N = 1, n = 20000000, r = 0, k = 256, Alpha = 0, Beta = 0.0625
-----------------------------------------------
Number of degrees of freedom : 37
Chi-square statistic : 28.93
p-value of test : 0.83
-----------------------------------------------
CPU time used : 00:00:24.64
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_WeightDistrib test:
-----------------------------------------------
N = 1, n = 20000000, r = 10, k = 256, Alpha = 0, Beta = 0.0625
-----------------------------------------------
Number of degrees of freedom : 37
Chi-square statistic : 49.20
p-value of test : 0.09
-----------------------------------------------
CPU time used : 00:00:35.42
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_WeightDistrib test:
-----------------------------------------------
N = 1, n = 20000000, r = 26, k = 256, Alpha = 0, Beta = 0.0625
-----------------------------------------------
Number of degrees of freedom : 37
Chi-square statistic : 42.95
p-value of test : 0.23
-----------------------------------------------
CPU time used : 00:00:35.40
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
svaria_SumCollector test:
-----------------------------------------------
N = 1, n = 500000000, r = 0, g = 10
-----------------------------------------------
Number of degrees of freedom : 29
Chi-square statistic : 35.96
p-value of test : 0.17
-----------------------------------------------
CPU time used : 00:00:58.43
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_MatrixRank test:
-----------------------------------------------
N = 10, n = 1000000, r = 0, s = 5, L = 30, k = 30
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.19
p-value of test : 0.44
Kolmogorov-Smirnov- statistic = D- : 0.14
p-value of test : 0.63
Anderson-Darling statistic = A2 : 0.42
p-value of test : 0.83
Test on the sum of all N observations
Number of degrees of freedom : 40
Chi-square statistic : 33.45
p-value of test : 0.76
-----------------------------------------------
CPU time used : 00:00:53.43
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_MatrixRank test:
-----------------------------------------------
N = 10, n = 1000000, r = 25, s = 5, L = 30, k = 30
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.33
p-value of test : 0.10
Kolmogorov-Smirnov- statistic = D- : 0.13
p-value of test : 0.68
Anderson-Darling statistic = A2 : 0.99
p-value of test : 0.36
Test on the sum of all N observations
Number of degrees of freedom : 40
Chi-square statistic : 35.14
p-value of test : 0.69
-----------------------------------------------
CPU time used : 00:00:53.40
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 5000, r = 0, s = 4, L = 1000, k = 1000
-----------------------------------------------
Number of degrees of freedom : 3
Chi-square statistic : 1.61
p-value of test : 0.66
-----------------------------------------------
CPU time used : 00:01:42.22
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 5000, r = 26, s = 4, L = 1000, k = 1000
-----------------------------------------------
Number of degrees of freedom : 3
Chi-square statistic : 1.70
p-value of test : 0.64
-----------------------------------------------
CPU time used : 00:01:42.22
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 80, r = 15, s = 15, L = 5000, k = 5000
-----------------------------------------------
Number of degrees of freedom : 2
Chi-square statistic : 1.25
p-value of test : 0.54
-----------------------------------------------
CPU time used : 00:01:08.05
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 80, r = 0, s = 30, L = 5000, k = 5000
-----------------------------------------------
Number of degrees of freedom : 2
Chi-square statistic : 1.72
p-value of test : 0.42
-----------------------------------------------
CPU time used : 00:00:53.44
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_Savir2 test:
-----------------------------------------------
N = 10, n = 10000000, r = 10, m = 1048576, t = 30
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.19
p-value of test : 0.42
Kolmogorov-Smirnov- statistic = D- : 0.16
p-value of test : 0.55
Anderson-Darling statistic = A2 : 0.51
p-value of test : 0.73
Test on the sum of all N observations
Number of degrees of freedom : 130
Chi-square statistic : 121.25
p-value of test : 0.70
-----------------------------------------------
CPU time used : 00:00:19.69
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
smarsa_GCD test:
-----------------------------------------------
N = 10, n = 50000000, r = 0, s = 30
-----------------------------------------------
Test results for GCD values:
Kolmogorov-Smirnov+ statistic = D+ : 0.038
p-value of test : 0.95
Kolmogorov-Smirnov- statistic = D- : 0.22
p-value of test : 0.35
Anderson-Darling statistic = A2 : 0.98
p-value of test : 0.36
Test on the sum of all N observations
Number of degrees of freedom : 17430
Chi-square statistic :17668.96
p-value of test : 0.10
-----------------------------------------------
CPU time used : 00:01:28.03
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 100000000, r = 0, s = 5, L0 = 50, L1 = 50
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 36
ChiSquare statistic : 30.16
p-value of test : 0.74
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 35
ChiSquare statistic : 28.49
p-value of test : 0.77
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 25
ChiSquare statistic : 19.74
p-value of test : 0.76
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 24
ChiSquare statistic : 20.23
p-value of test : 0.68
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 17
ChiSquare statistic : 18.83
p-value of test : 0.34
-----------------------------------------------
CPU time used : 00:00:31.39
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 100000000, r = 25, s = 5, L0 = 50, L1 = 50
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 36
ChiSquare statistic : 37.53
p-value of test : 0.40
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 35
ChiSquare statistic : 38.41
p-value of test : 0.32
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 25
ChiSquare statistic : 16.23
p-value of test : 0.91
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 24
ChiSquare statistic : 18.01
p-value of test : 0.80
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 17
ChiSquare statistic : 17.34
p-value of test : 0.43
-----------------------------------------------
CPU time used : 00:00:31.73
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 10000000, r = 0, s = 10, L0 = 1000, L1 = 1000
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 146
ChiSquare statistic : 124.27
p-value of test : 0.90
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 146
ChiSquare statistic : 149.85
p-value of test : 0.40
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 500
ChiSquare statistic : 529.81
p-value of test : 0.17
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 136
ChiSquare statistic : 156.58
p-value of test : 0.11
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 74
ChiSquare statistic : 78.44
p-value of test : 0.34
-----------------------------------------------
CPU time used : 00:00:38.81
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 10000000, r = 20, s = 10, L0 = 1000, L1 = 1000
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 146
ChiSquare statistic : 142.07
p-value of test : 0.58
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 146
ChiSquare statistic : 139.51
p-value of test : 0.64
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 500
ChiSquare statistic : 473.92
p-value of test : 0.79
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 136
ChiSquare statistic : 160.25
p-value of test : 0.08
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 74
ChiSquare statistic : 71.30
p-value of test : 0.57
-----------------------------------------------
CPU time used : 00:00:39.02
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 1000000, r = 0, s = 15, L0 = 10000, L1 = 10000
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 384
ChiSquare statistic : 364.78
p-value of test : 0.75
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 384
ChiSquare statistic : 370.27
p-value of test : 0.68
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 5000
ChiSquare statistic : 4893.36
p-value of test : 0.86
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 378
ChiSquare statistic : 386.37
p-value of test : 0.37
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 200
ChiSquare statistic : 185.22
p-value of test : 0.77
-----------------------------------------------
CPU time used : 00:00:32.14
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 1000000, r = 15, s = 15, L0 = 10000, L1 = 10000
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 384
ChiSquare statistic : 400.71
p-value of test : 0.27
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 384
ChiSquare statistic : 340.90
p-value of test : 0.94
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 5000
ChiSquare statistic : 4993.85
p-value of test : 0.52
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 378
ChiSquare statistic : 380.29
p-value of test : 0.46
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 200
ChiSquare statistic : 182.70
p-value of test : 0.80
-----------------------------------------------
CPU time used : 00:00:32.11
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
scomp_LinearComp test:
-----------------------------------------------
N = 1, n = 400020, r = 0, s = 1
-----------------------------------------------
Number of degrees of freedom : 12
Chi2 statistic for size of jumps : 11.74
p-value of test : 0.47
-----------------------------------------------
Normal statistic for number of jumps : 0.86
p-value of test : 0.19
-----------------------------------------------
CPU time used : 00:01:32.93
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
scomp_LinearComp test:
-----------------------------------------------
N = 1, n = 400020, r = 29, s = 1
-----------------------------------------------
Number of degrees of freedom : 12
Chi2 statistic for size of jumps : 19.20
p-value of test : 0.08
-----------------------------------------------
Normal statistic for number of jumps : -444.96
p-value of test : 1 - eps1 *****
-----------------------------------------------
CPU time used : 00:00:00.21
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
scomp_LempelZiv test:
-----------------------------------------------
N = 10, n = 134217728, r = 0, s = 30, k = 27
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.31
p-value of test : 0.11
Kolmogorov-Smirnov- statistic = D- : 0.19
p-value of test : 0.44
Anderson-Darling statistic = A2 : 0.93
p-value of test : 0.39
Tests on the sum of all N observations
Standardized normal statistic : -0.36
p-value of test : 0.64
Sample variance : 1.50
p-value of test : 0.14
-----------------------------------------------
CPU time used : 00:00:51.14
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
scomp_LempelZiv test:
-----------------------------------------------
N = 10, n = 134217728, r = 15, s = 15, k = 27
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.10
p-value of test : 0.76
Kolmogorov-Smirnov- statistic = D- : 0.29
p-value of test : 0.15
Anderson-Darling statistic = A2 : 0.72
p-value of test : 0.54
Tests on the sum of all N observations
Standardized normal statistic : 0.68
p-value of test : 0.25
Sample variance : 1.35
p-value of test : 0.20
-----------------------------------------------
CPU time used : 00:00:47.22
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sspectral_Fourier3 test:
-----------------------------------------------
N = 100000, n = 16384, r = 0, s = 3, k = 14
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.010
p-value of test : 0.41
Kolmogorov-Smirnov- statistic = D- : 6.38e-3
p-value of test : 0.71
Anderson-Darling statistic = A2 : 0.58
p-value of test : 0.67
-----------------------------------------------
CPU time used : 00:00:31.47
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sspectral_Fourier3 test:
-----------------------------------------------
N = 100000, n = 16384, r = 27, s = 3, k = 14
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 9.30e-3
p-value of test : 0.49
Kolmogorov-Smirnov- statistic = D- : 0.012
p-value of test : 0.31
Anderson-Darling statistic = A2 : 0.93
p-value of test : 0.39
-----------------------------------------------
CPU time used : 00:00:30.57
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_LongestHeadRun test:
-----------------------------------------------
N = 1, n = 1000, r = 0, s = 3, L = 10000020
-----------------------------------------------
Number of degrees of freedom : 8
Chi-square statistic : 2.62
p-value of test : 0.96
-----------------------------------------------
Global longest run of 1 : 32.00
p-value of test : 0.50
-----------------------------------------------
CPU time used : 00:01:07.92
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_LongestHeadRun test:
-----------------------------------------------
N = 1, n = 1000, r = 27, s = 3, L = 10000020
-----------------------------------------------
Number of degrees of freedom : 8
Chi-square statistic : 8.97
p-value of test : 0.34
-----------------------------------------------
Global longest run of 1 : 32.00
p-value of test : 0.50
-----------------------------------------------
CPU time used : 00:01:09.60
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_PeriodsInStrings test:
-----------------------------------------------
N = 10, n = 500000000, r = 0, s = 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.091
p-value of test : 0.80
Kolmogorov-Smirnov- statistic = D- : 0.28
p-value of test : 0.17
Anderson-Darling statistic = A2 : 0.83
p-value of test : 0.46
Test on the sum of all N observations
Number of degrees of freedom : 200
Chi-square statistic : 215.50
p-value of test : 0.22
-----------------------------------------------
CPU time used : 00:01:38.38
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_PeriodsInStrings test:
-----------------------------------------------
N = 10, n = 500000000, r = 20, s = 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.22
p-value of test : 0.33
Kolmogorov-Smirnov- statistic = D- : 0.22
p-value of test : 0.32
Anderson-Darling statistic = A2 : 0.91
p-value of test : 0.41
Test on the sum of all N observations
Number of degrees of freedom : 200
Chi-square statistic : 189.19
p-value of test : 0.70
-----------------------------------------------
CPU time used : 00:01:39.10
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingWeight2 test:
-----------------------------------------------
N = 10, n = 1000000000, r = 0, s = 3, L = 1000000
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.24
p-value of test : 0.26
Kolmogorov-Smirnov- statistic = D- : 0.17
p-value of test : 0.52
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 : 10000
Chi-square statistic : 9928.61
p-value of test : 0.69
-----------------------------------------------
CPU time used : 00:00:37.22
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingWeight2 test:
-----------------------------------------------
N = 10, n = 1000000000, r = 27, s = 3, L = 1000000
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.15
p-value of test : 0.58
Kolmogorov-Smirnov- statistic = D- : 0.16
p-value of test : 0.54
Anderson-Darling statistic = A2 : 0.62
p-value of test : 0.62
Test on the sum of all N observations
Number of degrees of freedom : 10000
Chi-square statistic : 9961.69
p-value of test : 0.61
-----------------------------------------------
CPU time used : 00:00:38.46
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 1000000000, r = 10, s = 10, L = 30
-----------------------------------------------
Normal statistic : 0.37
p-value of test : 0.35
-----------------------------------------------
CPU time used : 00:00:48.68
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 100000000, r = 10, s = 10, L = 300
-----------------------------------------------
Normal statistic : -0.54
p-value of test : 0.71
-----------------------------------------------
CPU time used : 00:00:47.11
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 100000000, r = 10, s = 10, L = 1200
-----------------------------------------------
Normal statistic : 1.72
p-value of test : 0.04
-----------------------------------------------
CPU time used : 00:03:05.64
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingIndep test:
-----------------------------------------------
N = 10, n = 30000000, r = 0, s = 3, L = 30, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.29
p-value of test : 0.15
Kolmogorov-Smirnov- statistic = D- : 0.037
p-value of test : 0.95
Anderson-Darling statistic = A2 : 1.27
p-value of test : 0.24
Test on the sum of all N observations
Number of degrees of freedom : 4890
Chi-square statistic : 4738.47
p-value of test : 0.94
-----------------------------------------------
CPU time used : 00:01:13.39
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingIndep test:
-----------------------------------------------
N = 10, n = 30000000, r = 27, s = 3, L = 30, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.17
p-value of test : 0.51
Kolmogorov-Smirnov- statistic = D- : 0.19
p-value of test : 0.42
Anderson-Darling statistic = A2 : 0.67
p-value of test : 0.58
Test on the sum of all N observations
Number of degrees of freedom : 4890
Chi-square statistic : 4960.03
p-value of test : 0.24
-----------------------------------------------
CPU time used : 00:01:16.14
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 30000000, r = 0, s = 4, L = 300, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 4117
Chi-square statistic : 4180.87
p-value of test : 0.24
-----------------------------------------------
CPU time used : 00:00:53.88
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 30000000, r = 26, s = 4, L = 300, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 4117
Chi-square statistic : 4048.10
p-value of test : 0.78
-----------------------------------------------
CPU time used : 00:00:56.10
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 10000000, r = 0, s = 5, L = 1200, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 11825
Chi-square statistic :11616.67
p-value of test : 0.91
-----------------------------------------------
CPU time used : 00:01:00.27
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 10000000, r = 25, s = 5, L = 1200, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 11825
Chi-square statistic :11801.34
p-value of test : 0.56
-----------------------------------------------
CPU time used : 00:01:02.56
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_Run test:
-----------------------------------------------
N = 1, n = 2000000000, r = 0, s = 3
-----------------------------------------------
Total number of 1 runs: 2000000000
Number of degrees of freedom : 54
Chi2 statistic for number of runs : 58.04
p-value of test : 0.33
-----------------------------------------------
Total number of bits: 7999946814
Normal statistic for number of bits : -0.42
p-value of test : 0.66
-----------------------------------------------
CPU time used : 00:00:51.64
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_Run test:
-----------------------------------------------
N = 1, n = 2000000000, r = 27, s = 3
-----------------------------------------------
Total number of 1 runs: 2000000000
Number of degrees of freedom : 54
Chi2 statistic for number of runs : 40.64
p-value of test : 0.91
-----------------------------------------------
Total number of bits: 7999938507
Normal statistic for number of bits : -0.49
p-value of test : 0.69
-----------------------------------------------
CPU time used : 00:00:52.82
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_AutoCor test:
-----------------------------------------------
N = 10, n = 1000000030, r = 0, s = 3, d = 1
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.022
p-value of test : 0.97
Kolmogorov-Smirnov- statistic = D- : 0.31
p-value of test : 0.12
Anderson-Darling statistic = A2 : 1.09
p-value of test : 0.31
Tests on the sum of all N observations
Standardized normal statistic : 1.34
p-value of test : 0.09
Sample variance : 1.00
p-value of test : 0.44
-----------------------------------------------
CPU time used : 00:01:59.42
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_AutoCor test:
-----------------------------------------------
N = 10, n = 1000000029, r = 0, s = 3, d = 3
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.13
p-value of test : 0.66
Kolmogorov-Smirnov- statistic = D- : 0.41
p-value of test : 0.03
Anderson-Darling statistic = A2 : 1.51
p-value of test : 0.17
Tests on the sum of all N observations
Standardized normal statistic : 1.09
p-value of test : 0.14
Sample variance : 0.41
p-value of test : 0.93
-----------------------------------------------
CPU time used : 00:01:44.52
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_AutoCor test:
-----------------------------------------------
N = 10, n = 1000000030, r = 27, s = 3, d = 1
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.18
p-value of test : 0.47
Kolmogorov-Smirnov- statistic = D- : 0.25
p-value of test : 0.25
Anderson-Darling statistic = A2 : 0.93
p-value of test : 0.40
Tests on the sum of all N observations
Standardized normal statistic : 0.48
p-value of test : 0.32
Sample variance : 1.46
p-value of test : 0.16
-----------------------------------------------
CPU time used : 00:01:59.47
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits
sstring_AutoCor test:
-----------------------------------------------
N = 10, n = 1000000029, r = 27, s = 3, d = 3
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.19
p-value of test : 0.45
Kolmogorov-Smirnov- statistic = D- : 0.20
p-value of test : 0.40
Anderson-Darling statistic = A2 : 0.56
p-value of test : 0.68
Tests on the sum of all N observations
Standardized normal statistic : 0.13
p-value of test : 0.45
Sample variance : 0.43
p-value of test : 0.92
-----------------------------------------------
CPU time used : 00:01:45.97
Generator state:
========= Summary results of BigCrush =========
Version: TestU01 1.2.3
Generator: xorshift1024star lsb 32-bits
Number of statistics: 160
Total CPU time: 02:16:33.22
The following tests gave p-values outside [0.001, 0.9990]:
(eps means a value < 1.0e-300):
(eps1 means a value < 1.0e-15):
Test p-value
----------------------------------------------
81 LinearComp, r = 29 1 - eps1
----------------------------------------------
All other tests were passed