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==seed: 987654
==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 : 0.16
-----------------------------------------------
CPU time used : 00:00:55.78
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 : 0.59
-----------------------------------------------
CPU time used : 00:00:57.15
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 : 1334
p-value of test : 0.79
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334454
j = 1 : 599997332
j = 2 : 1334
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:01:54.06
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 : 1371
p-value of test : 0.43
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334491
j = 1 : 599997258
j = 2 : 1371
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:01:57.51
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 : 1375
p-value of test : 0.39
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334495
j = 1 : 599997250
j = 2 : 1375
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:23.99
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 : 1373
p-value of test : 0.41
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334493
j = 1 : 599997254
j = 2 : 1373
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:28.04
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 : 1446
p-value of test : 0.01
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334566
j = 1 : 599997108
j = 2 : 1446
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:26.82
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 : 1342
p-value of test : 0.72
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334462
j = 1 : 599997316
j = 2 : 1342
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:31.22
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 : 1495
p-value of test : 2.5e-4 *****
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334615
j = 1 : 599997010
j = 2 : 1495
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 : 1387
p-value of test : 0.27
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334507
j = 1 : 599997226
j = 2 : 1387
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:38.86
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
smultin_MultinomialOver test:
-----------------------------------------------
N = 30, n = 20000000, r = 0, d = 4, t = 21,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 4398046511104
Expected number per cell = 1 / 219902.33
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 219902.33
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 1364.24
Observed number of collisions : 1359
p-value of test : 0.55
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334479
j = 1 : 599997282
j = 2 : 1359
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:23.86
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 : 1425
p-value of test : 0.05
-----------------------------
Total number of cells containing j balls
j = 0 : 131940795334545
j = 1 : 599997150
j = 2 : 1425
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:02:28.68
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 : 5417
p-value of test : 0.52
-----------------------------------------------
CPU time used : 00:03:03.98
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 : 4360
p-value of test : 0.36
-----------------------------------------------
CPU time used : 00:01:19.18
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 : 7206
p-value of test : 0.90
-----------------------------------------------
CPU time used : 00:02:08.81
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 : 4455
p-value of test : 0.04
-----------------------------------------------
CPU time used : 00:01:32.31
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 : 4206
p-value of test : 0.98
-----------------------------------------------
CPU time used : 00:01:35.13
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 : 7392
p-value of test : 0.20
-----------------------------------------------
CPU time used : 00:02:30.53
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 : 7342
p-value of test : 0.39
-----------------------------------------------
CPU time used : 00:02:30.53
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 : 7355
p-value of test : 0.34
-----------------------------------------------
CPU time used : 00:03:07.84
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 : 7335
p-value of test : 0.42
-----------------------------------------------
CPU time used : 00:03:17.67
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
snpair_ClosePairs test:
-----------------------------------------------
N = 30, n = 6000000, r = 0, t = 3, p = 0, m = 30, Torus = TRUE
---------------------------------------
Test based on the 2 nearest points (NP):
Stat. AD on the N values (NP) : 0.45
p-value of test : 0.80
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) : 0.37
p-value of test : 0.88
Test on the Nm values of W_{n,i}(mNP1): 0.26
p-value of test : 0.96
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 900
Number of jumps of Y : 882
p-value of test : 0.72
Stat. AD (mNP2) : 0.92
p-value of test : 0.40
Stat. AD after spacings (mNP2-S) : 1.43
p-value of test : 0.19
-----------------------------------------------
CPU time used : 00:02:06.23
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
snpair_ClosePairs test:
-----------------------------------------------
N = 20, n = 4000000, r = 0, t = 5, p = 0, m = 30, Torus = TRUE
---------------------------------------
Test based on the 2 nearest points (NP):
Stat. AD on the N values (NP) : 0.82
p-value of test : 0.46
A2 test based on the spacings between the
successive jump times of process Y_n(t):
A2 test on the values of A2 (m-NP) : 2.29
p-value of test : 0.06
Test on the Nm values of W_{n,i}(mNP1): 0.57
p-value of test : 0.68
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 600
Number of jumps of Y : 591
p-value of test : 0.63
Stat. AD (mNP2) : 0.99
p-value of test : 0.36
Stat. AD after spacings (mNP2-S) : 0.57
p-value of test : 0.68
-----------------------------------------------
CPU time used : 00:01:25.17
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) : 0.31
p-value of test : 0.93
A2 test based on the spacings between the
successive jump times of process Y_n(t):
A2 test on the values of A2 (m-NP) : 0.46
p-value of test : 0.78
Test on the Nm values of W_{n,i}(mNP1): 0.57
p-value of test : 0.68
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 300
Number of jumps of Y : 294
p-value of test : 0.62
Stat. AD (mNP2) : 0.77
p-value of test : 0.50
Stat. AD after spacings (mNP2-S) : 0.96
p-value of test : 0.38
-----------------------------------------------
CPU time used : 00:02:12.55
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
snpair_ClosePairs test:
-----------------------------------------------
N = 5, n = 2000000, r = 0, t = 16, p = 0, m = 30, Torus = TRUE
---------------------------------------
Test based on the 2 nearest points (NP):
Stat. AD on the N values (NP) : 1.24
p-value of test : 0.25
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) : 0.29
p-value of test : 0.94
Test on the Nm values of W_{n,i}(mNP1): 0.72
p-value of test : 0.55
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 150
Number of jumps of Y : 153
p-value of test : 0.41
Stat. AD (mNP2) : 1.68
p-value of test : 0.14
Stat. AD after spacings (mNP2-S) : 0.73
p-value of test : 0.54
-----------------------------------------------
CPU time used : 00:02:30.40
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 : 5.80
p-value of test : 0.56
-----------------------------------------------
CPU time used : 00:00:44.28
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 : 4.48
p-value of test : 0.72
-----------------------------------------------
CPU time used : 00:00:50.69
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 : 15.64
p-value of test : 0.62
-----------------------------------------------
CPU time used : 00:00:46.19
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 : 23.37
p-value of test : 0.18
-----------------------------------------------
CPU time used : 00:00:52.55
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 200000000, r = 0, d = 8
-----------------------------------------------
Number of degrees of freedom : 54
Chi-square statistic : 51.17
p-value of test : 0.58
-----------------------------------------------
CPU time used : 00:01:01.67
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 : 74.03
p-value of test : 0.04
-----------------------------------------------
CPU time used : 00:01:10.63
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 : 59.41
p-value of test : 0.29
-----------------------------------------------
CPU time used : 00:01:10.65
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 : 61.99
p-value of test : 0.21
-----------------------------------------------
CPU time used : 00:01:10.65
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 : 245.95
p-value of test : 0.25
-----------------------------------------------
CPU time used : 00:01:04.55
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 300000000, r = 25, Alpha = 0, Beta = 0.03125
-----------------------------------------------
Number of degrees of freedom : 434
Chi-square statistic : 445.32
p-value of test : 0.34
-----------------------------------------------
CPU time used : 00:01:32.21
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 : 1403.15
p-value of test : 0.73
-----------------------------------------------
CPU time used : 00:01:32.71
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 : 7217.24
p-value of test : 0.08
-----------------------------------------------
CPU time used : 00:01:33.23
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+ : 0.39
p-value of test : 0.17
Kolmogorov-Smirnov- statistic = D- : 0.21
p-value of test : 0.56
Anderson-Darling statistic = A2 : 0.74
p-value of test : 0.52
Test on the sum of all N observations
Number of degrees of freedom : 30
Chi-square statistic : 28.47
p-value of test : 0.55
-----------------------------------------------
CPU time used : 00:01:12.34
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+ : 0.14
p-value of test : 0.64
Kolmogorov-Smirnov- statistic = D- : 0.16
p-value of test : 0.55
Anderson-Darling statistic = A2 : 0.39
p-value of test : 0.85
Test on the sum of all N observations
Number of degrees of freedom : 60
Chi-square statistic : 59.82
p-value of test : 0.48
-----------------------------------------------
CPU time used : 00:03:14.23
Generator state:
***********************************************************
Test sknuth_Permutation calling smultin_Multinomial
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
smultin_Multinomial test:
-----------------------------------------------
N = 1, n = 1000000000, r = 5, t = 3,
Sparse = FALSE
GenerCell = smultin_GenerCellPermut
Number of cells = t! = 6
Expected number per cell = 1.6666667e+08
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 2.5000002e-09, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Number of degrees of freedom : 5
Value of the statistic : 4.90
p-value of test : 0.43
-----------------------------------------------
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 : 111.14
p-value of test : 0.68
-----------------------------------------------
CPU time used : 00:01:18.86
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 : 5132.18
p-value of test : 0.18
-----------------------------------------------
CPU time used : 00:01:01.93
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 : 0.54
-----------------------------------------------
CPU time used : 00:02:21.71
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 : 46066
p-value of test : 0.19
-----------------------------
Total number of cells containing j balls
j = 0 : 1743165870066
j = 1 : 399907872
j = 2 : 46058
j = 3 : 4
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:03:35.90
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 : 45922
p-value of test : 0.42
-----------------------------
Total number of cells containing j balls
j = 0 : 1743165869922
j = 1 : 399908160
j = 2 : 45914
j = 3 : 4
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:03:46.36
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+ : 0.083
p-value of test : 0.54
Kolmogorov-Smirnov- statistic = D- : 0.059
p-value of test : 0.73
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 : 3999960
Chi-square statistic : 4.00e+6
p-value of test : 0.60
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.12
p-value of test : 0.29
Kolmogorov-Smirnov- statistic = D- : 0.066
p-value of test : 0.68
Anderson-Darling statistic = A2 : 0.47
p-value of test : 0.77
-----------------------------------------------
CPU time used : 00:02:03.76
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+ : 0.069
p-value of test : 0.72
Kolmogorov-Smirnov- statistic = D- : 0.094
p-value of test : 0.56
Anderson-Darling statistic = A2 : 0.70
p-value of test : 0.55
Test on the sum of all N observations
Number of degrees of freedom : 2999970
Chi-square statistic : 3.00e+6
p-value of test : 0.22
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.073
p-value of test : 0.69
Kolmogorov-Smirnov- statistic = D- : 0.12
p-value of test : 0.40
Anderson-Darling statistic = A2 : 0.41
p-value of test : 0.84
-----------------------------------------------
CPU time used : 00:01:48.43
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+ : 0.063
p-value of test : 0.82
Kolmogorov-Smirnov- statistic = D- : 0.090
p-value of test : 0.68
Anderson-Darling statistic = A2 : 0.31
p-value of test : 0.93
Test on the sum of all N observations
Number of degrees of freedom : 1999980
Chi-square statistic : 2.00e+6
p-value of test : 0.39
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.13
p-value of test : 0.49
Kolmogorov-Smirnov- statistic = D- : 0.23
p-value of test : 0.10
Anderson-Darling statistic = A2 : 1.05
p-value of test : 0.33
-----------------------------------------------
CPU time used : 00:01:23.93
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+ : 0.12
p-value of test : 0.54
Kolmogorov-Smirnov- statistic = D- : 0.13
p-value of test : 0.47
Anderson-Darling statistic = A2 : 0.49
p-value of test : 0.76
Test on the sum of all N observations
Number of degrees of freedom : 1999980
Chi-square statistic : 2.00e+6
p-value of test : 0.38
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.16
p-value of test : 0.31
Kolmogorov-Smirnov- statistic = D- : 0.081
p-value of test : 0.73
Anderson-Darling statistic = A2 : 1.04
p-value of test : 0.33
-----------------------------------------------
CPU time used : 00:01:31.80
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+ : 0.10
p-value of test : 0.39
Kolmogorov-Smirnov- statistic = D- : 0.080
p-value of test : 0.57
Anderson-Darling statistic = A2 : 0.33
p-value of test : 0.91
-----------------------------------------------
CPU time used : 00:01:28.25
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+ : 0.22
p-value of test : 0.12
Kolmogorov-Smirnov- statistic = D- : 0.037
p-value of test : 0.93
Anderson-Darling statistic = A2 : 1.48
p-value of test : 0.18
-----------------------------------------------
CPU time used : 00:01:00.22
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+ : 0.025
p-value of test : 0.96
Kolmogorov-Smirnov- statistic = D- : 0.33
p-value of test : 9.0e-3
Anderson-Darling statistic = A2 : 3.71
p-value of test : 0.01
-----------------------------------------------
CPU time used : 00:01:16.52
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
svaria_SampleMean test:
-----------------------------------------------
N = 20000000, n = 30, r = 0
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 1.77e-4
p-value of test : 0.29
Kolmogorov-Smirnov- statistic = D- : 7.05e-5
p-value of test : 0.82
Anderson-Darling statistic = A2 : 0.56
p-value of test : 0.69
-----------------------------------------------
CPU time used : 00:00:21.14
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
svaria_SampleMean test:
-----------------------------------------------
N = 20000000, n = 30, r = 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 1.39e-4
p-value of test : 0.46
Kolmogorov-Smirnov- statistic = D- : 1.14e-4
p-value of test : 0.59
Anderson-Darling statistic = A2 : 0.69
p-value of test : 0.57
-----------------------------------------------
CPU time used : 00:00:22.60
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
svaria_SampleCorr test:
-----------------------------------------------
N = 1, n = 2000000000, r = 0, k = 1
-----------------------------------------------
Normal statistic : -1.00
p-value of test : 0.84
-----------------------------------------------
CPU time used : 00:00:16.43
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
svaria_SampleCorr test:
-----------------------------------------------
N = 1, n = 2000000000, r = 0, k = 2
-----------------------------------------------
Normal statistic : -0.36
p-value of test : 0.64
-----------------------------------------------
CPU time used : 00:00:16.48
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
svaria_AppearanceSpacings test:
-----------------------------------------------
N = 1, Q = 10000000, K = 1000000000, r = 0, s = 3, L = 15
Sequences of n = (K + Q)L = 15150000000 bits
Q = 10000000 initialization blocks
K = 1000000000 blocks for the test
the blocks have L = 15 bits
-----------------------------------------------
Normal statistic : -0.88
p-value of test : 0.81
-----------------------------------------------
CPU time used : 00:01:09.71
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 : -0.41
p-value of test : 0.66
-----------------------------------------------
CPU time used : 00:01:12.93
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 : 61.15
p-value of test : 0.68
-----------------------------------------------
CPU time used : 00:00:36.68
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 : 89.89
p-value of test : 0.03
-----------------------------------------------
CPU time used : 00:00:46.60
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 : 73.11
p-value of test : 0.28
-----------------------------------------------
CPU time used : 00:00:46.60
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 : 33.55
p-value of test : 0.63
-----------------------------------------------
CPU time used : 00:00:36.68
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 : 43.21
p-value of test : 0.22
-----------------------------------------------
CPU time used : 00:00:46.60
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 : 27.23
p-value of test : 0.88
-----------------------------------------------
CPU time used : 00:00:46.60
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 : 32.65
p-value of test : 0.29
-----------------------------------------------
CPU time used : 00:01:23.06
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+ : 0.25
p-value of test : 0.23
Kolmogorov-Smirnov- statistic = D- : 0.16
p-value of test : 0.53
Anderson-Darling statistic = A2 : 0.98
p-value of test : 0.37
Test on the sum of all N observations
Number of degrees of freedom : 40
Chi-square statistic : 42.90
p-value of test : 0.35
-----------------------------------------------
CPU time used : 00:00:57.30
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+ : 0.28
p-value of test : 0.16
Kolmogorov-Smirnov- statistic = D- : 0.032
p-value of test : 0.96
Anderson-Darling statistic = A2 : 0.73
p-value of test : 0.53
Test on the sum of all N observations
Number of degrees of freedom : 40
Chi-square statistic : 31.43
p-value of test : 0.83
-----------------------------------------------
CPU time used : 00:00:57.31
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 : 5.08
p-value of test : 0.17
-----------------------------------------------
CPU time used : 00:01:44.57
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 : 3.11
p-value of test : 0.38
-----------------------------------------------
CPU time used : 00:01:44.78
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 : 2.35
p-value of test : 0.31
-----------------------------------------------
CPU time used : 00:01:08.36
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 : 2.03
p-value of test : 0.36
-----------------------------------------------
CPU time used : 00:00:53.75
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+ : 0.25
p-value of test : 0.23
Kolmogorov-Smirnov- statistic = D- : 0.085
p-value of test : 0.82
Anderson-Darling statistic = A2 : 0.93
p-value of test : 0.39
Test on the sum of all N observations
Number of degrees of freedom : 130
Chi-square statistic : 111.22
p-value of test : 0.88
-----------------------------------------------
CPU time used : 00:00:26.27
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+ : 0.48
p-value of test : 6.2e-3
Kolmogorov-Smirnov- statistic = D- : 3.17e-3
p-value of test : 0.9967
Anderson-Darling statistic = A2 : 4.17
p-value of test : 7.6e-3
Test on the sum of all N observations
Number of degrees of freedom : 17430
Chi-square statistic :16912.18
p-value of test : 0.9974
-----------------------------------------------
CPU time used : 00:01:30.38
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 : 30.48
p-value of test : 0.73
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 35
ChiSquare statistic : 35.99
p-value of test : 0.42
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 25
ChiSquare statistic : 25.98
p-value of test : 0.41
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 24
ChiSquare statistic : 27.22
p-value of test : 0.29
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 17
ChiSquare statistic : 18.91
p-value of test : 0.33
-----------------------------------------------
CPU time used : 00:00:32.92
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 : 63.55
p-value of test : 3.1e-3
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 35
ChiSquare statistic : 57.69
p-value of test : 9.2e-3
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 25
ChiSquare statistic : 25.75
p-value of test : 0.42
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 24
ChiSquare statistic : 19.33
p-value of test : 0.73
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 17
ChiSquare statistic : 11.35
p-value of test : 0.84
-----------------------------------------------
CPU time used : 00:00:33.34
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 : 149.86
p-value of test : 0.40
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 146
ChiSquare statistic : 174.77
p-value of test : 0.05
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 500
ChiSquare statistic : 488.93
p-value of test : 0.63
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 136
ChiSquare statistic : 141.81
p-value of test : 0.35
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 74
ChiSquare statistic : 76.50
p-value of test : 0.40
-----------------------------------------------
CPU time used : 00:00:39.88
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 : 155.08
p-value of test : 0.29
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 146
ChiSquare statistic : 143.27
p-value of test : 0.55
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 500
ChiSquare statistic : 498.99
p-value of test : 0.50
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 136
ChiSquare statistic : 156.92
p-value of test : 0.11
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 74
ChiSquare statistic : 60.36
p-value of test : 0.87
-----------------------------------------------
CPU time used : 00:00:40.21
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 : 403.74
p-value of test : 0.23
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 384
ChiSquare statistic : 367.24
p-value of test : 0.72
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 5000
ChiSquare statistic : 4973.45
p-value of test : 0.60
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 378
ChiSquare statistic : 387.09
p-value of test : 0.36
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 200
ChiSquare statistic : 200.65
p-value of test : 0.47
-----------------------------------------------
CPU time used : 00:00:32.77
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 : 388.57
p-value of test : 0.43
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 384
ChiSquare statistic : 353.57
p-value of test : 0.87
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 5000
ChiSquare statistic : 4904.90
p-value of test : 0.83
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 378
ChiSquare statistic : 428.55
p-value of test : 0.04
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 200
ChiSquare statistic : 181.63
p-value of test : 0.82
-----------------------------------------------
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 : 9.52
p-value of test : 0.66
-----------------------------------------------
Normal statistic for number of jumps : -444.87
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 : 20.58
p-value of test : 0.06
-----------------------------------------------
Normal statistic for number of jumps : 0.87
p-value of test : 0.19
-----------------------------------------------
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+ : 0.23
p-value of test : 0.30
Kolmogorov-Smirnov- statistic = D- : 0.14
p-value of test : 0.62
Anderson-Darling statistic = A2 : 1.60
p-value of test : 0.16
Tests on the sum of all N observations
Standardized normal statistic : -0.94
p-value of test : 0.83
Sample variance : 2.67
p-value of test : 4.2e-3
-----------------------------------------------
CPU time used : 00:00:53.50
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+ : 0.59
p-value of test : 3.8e-4 *****
Kolmogorov-Smirnov- statistic = D- : 0.059
p-value of test : 0.90
Anderson-Darling statistic = A2 : 4.43
p-value of test : 5.7e-3
Tests on the sum of all N observations
Standardized normal statistic : -2.31
p-value of test : 0.99
Sample variance : 0.75
p-value of test : 0.66
-----------------------------------------------
CPU time used : 00:00:59.39
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+ : 9.17e-3
p-value of test : 0.50
Kolmogorov-Smirnov- statistic = D- : 8.36e-3
p-value of test : 0.56
Anderson-Darling statistic = A2 : 0.54
p-value of test : 0.71
-----------------------------------------------
CPU time used : 00:00:32.85
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+ : 9.47e-3
p-value of test : 0.48
Kolmogorov-Smirnov- statistic = D- : 7.81e-3
p-value of test : 0.60
Anderson-Darling statistic = A2 : 0.29
p-value of test : 0.94
-----------------------------------------------
CPU time used : 00:00:31.82
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 : 3.42
p-value of test : 0.91
-----------------------------------------------
Global longest run of 1 : 31.00
p-value of test : 0.69
-----------------------------------------------
CPU time used : 00:01:13.47
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 : 18.55
p-value of test : 0.02
-----------------------------------------------
Global longest run of 1 : 35.00
p-value of test : 0.14
-----------------------------------------------
CPU time used : 00:01:15.53
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sstring_PeriodsInStrings test:
-----------------------------------------------
N = 10, n = 500000000, r = 0, s = 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.33
p-value of test : 0.09
Kolmogorov-Smirnov- statistic = D- : 0.13
p-value of test : 0.67
Anderson-Darling statistic = A2 : 1.61
p-value of test : 0.15
Test on the sum of all N observations
Number of degrees of freedom : 200
Chi-square statistic : 184.83
p-value of test : 0.77
-----------------------------------------------
CPU time used : 00:01:47.94
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+ : 0.11
p-value of test : 0.72
Kolmogorov-Smirnov- statistic = D- : 0.19
p-value of test : 0.45
Anderson-Darling statistic = A2 : 0.34
p-value of test : 0.90
Test on the sum of all N observations
Number of degrees of freedom : 200
Chi-square statistic : 208.32
p-value of test : 0.33
-----------------------------------------------
CPU time used : 00:01:50.19
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+ : 0.31
p-value of test : 0.12
Kolmogorov-Smirnov- statistic = D- : 0.14
p-value of test : 0.61
Anderson-Darling statistic = A2 : 1.46
p-value of test : 0.19
Test on the sum of all N observations
Number of degrees of freedom : 10000
Chi-square statistic : 9890.32
p-value of test : 0.78
-----------------------------------------------
CPU time used : 00:00:47.93
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+ : 0.20
p-value of test : 0.38
Kolmogorov-Smirnov- statistic = D- : 0.23
p-value of test : 0.30
Anderson-Darling statistic = A2 : 0.96
p-value of test : 0.38
Test on the sum of all N observations
Number of degrees of freedom : 10000
Chi-square statistic :10068.13
p-value of test : 0.31
-----------------------------------------------
CPU time used : 00:00:49.94
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 1000000000, r = 10, s = 10, L = 30
-----------------------------------------------
Normal statistic : 0.77
p-value of test : 0.22
-----------------------------------------------
CPU time used : 00:00:56.92
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 : -0.50
p-value of test : 0.69
-----------------------------------------------
CPU time used : 00:00:55.11
Generator state:
***********************************************************
HOST = haswell, Linux
xorshift1024star lsb 32-bits (bit reverse)
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 100000000, r = 10, s = 10, L = 1200
-----------------------------------------------
Normal statistic : 0.52
p-value of test : 0.30
-----------------------------------------------
CPU time used : 00:03:39.36
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+ : 0.059
p-value of test : 0.90
Kolmogorov-Smirnov- statistic = D- : 0.28
p-value of test : 0.17
Anderson-Darling statistic = A2 : 1.13
p-value of test : 0.30
Test on the sum of all N observations
Number of degrees of freedom : 4890
Chi-square statistic : 5013.51
p-value of test : 0.11
-----------------------------------------------
CPU time used : 00:01:28.70
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+ : 0.020
p-value of test : 0.98
Kolmogorov-Smirnov- statistic = D- : 0.31
p-value of test : 0.13
Anderson-Darling statistic = A2 : 1.62
p-value of test : 0.15
Test on the sum of all N observations
Number of degrees of freedom : 4890
Chi-square statistic : 5058.88
p-value of test : 0.05
-----------------------------------------------
CPU time used : 00:01:32.13
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 : 3941.07
p-value of test : 0.97
-----------------------------------------------
CPU time used : 00:01:06.17
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 : 4133.88
p-value of test : 0.42
-----------------------------------------------
CPU time used : 00:01:08.50
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 :12007.35
p-value of test : 0.12
-----------------------------------------------
CPU time used : 00:01:12.87
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 :11891.31
p-value of test : 0.33
-----------------------------------------------
CPU time used : 00:01:15.22
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 : 62.24
p-value of test : 0.21
-----------------------------------------------
Total number of bits: 7999890645
Normal statistic for number of bits : -0.86
p-value of test : 0.81
-----------------------------------------------
CPU time used : 00:00:59.81
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 : 44.63
p-value of test : 0.81
-----------------------------------------------
Total number of bits: 8000061867
Normal statistic for number of bits : 0.49
p-value of test : 0.31
-----------------------------------------------
CPU time used : 00:01:01.10
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+ : 0.22
p-value of test : 0.33
Kolmogorov-Smirnov- statistic = D- : 0.36
p-value of test : 0.06
Anderson-Darling statistic = A2 : 1.21
p-value of test : 0.26
Tests on the sum of all N observations
Standardized normal statistic : 0.18
p-value of test : 0.43
Sample variance : 0.31
p-value of test : 0.97
-----------------------------------------------
CPU time used : 00:02:04.37
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+ : 0.066
p-value of test : 0.88
Kolmogorov-Smirnov- statistic = D- : 0.22
p-value of test : 0.35
Anderson-Darling statistic = A2 : 0.63
p-value of test : 0.61
Tests on the sum of all N observations
Standardized normal statistic : 0.79
p-value of test : 0.21
Sample variance : 0.61
p-value of test : 0.79
-----------------------------------------------
CPU time used : 00:01:50.47
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+ : 0.13
p-value of test : 0.67
Kolmogorov-Smirnov- statistic = D- : 0.31
p-value of test : 0.12
Anderson-Darling statistic = A2 : 1.01
p-value of test : 0.35
Tests on the sum of all N observations
Standardized normal statistic : 0.84
p-value of test : 0.20
Sample variance : 0.54
p-value of test : 0.84
-----------------------------------------------
CPU time used : 00:02:06.11
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+ : 0.074
p-value of test : 0.86
Kolmogorov-Smirnov- statistic = D- : 0.41
p-value of test : 0.02
Anderson-Darling statistic = A2 : 2.85
p-value of test : 0.03
Tests on the sum of all N observations
Standardized normal statistic : 1.73
p-value of test : 0.04
Sample variance : 1.01
p-value of test : 0.43
-----------------------------------------------
CPU time used : 00:01:51.76
Generator state:
========= Summary results of BigCrush =========
Version: TestU01 1.2.3
Generator: xorshift1024star lsb 32-bits (bit reverse)
Number of statistics: 160
Total CPU time: 02:33:53.31
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
----------------------------------------------
9 CollisionOver, t = 14 2.5e-4
80 LinearComp, r = 0 1 - eps1
----------------------------------------------
All other tests were passed