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'Crush' test from TestU01 for the Allwinner A10 hardware PRNG accelerator
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Starting Crush
Version: TestU01 1.2.3
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***********************************************************
Test smarsa_SerialOver calling smultin_MultinomialOver
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smultin_MultinomialOver test:
-----------------------------------------------
N = 1, n = 500000000, r = 0, d = 4096, t = 2,
Sparse = FALSE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 16777216
Expected number per cell = 29.802322
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 0.01677312, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Number of degrees of freedom : 16773120
Value of the statistic : 1.68e+7
p-value of test : 0.61
-----------------------------------------------
CPU time used : 00:07:07.20
Generator state:
***********************************************************
Test smarsa_SerialOver calling smultin_MultinomialOver
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smultin_MultinomialOver test:
-----------------------------------------------
N = 1, n = 300000000, r = 0, d = 64, t = 4,
Sparse = FALSE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 16777216
Expected number per cell = 17.881393
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 0.027525119, Sigma = 1
-----------------------------------------------
Test Results for Delta = 1.0000
Number of degrees of freedom : 16515072
Value of the statistic : 1.65e+7
p-value of test : 0.95
-----------------------------------------------
CPU time used : 00:04:16.90
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smultin_MultinomialOver test:
-----------------------------------------------
N = 10, n = 10000000, r = 0, d = 1048576, t = 2,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 1099511627776
Expected number per cell = 1 / 109951.16
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 109951.16
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 454.75
Observed number of collisions : 492
p-value of test : 0.04
-----------------------------
Total number of cells containing j balls
j = 0 : 10995016278252
j = 1 : 99999016
j = 2 : 492
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:03:55.42
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smultin_MultinomialOver test:
-----------------------------------------------
N = 10, n = 10000000, r = 10, d = 1048576, t = 2,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 1099511627776
Expected number per cell = 1 / 109951.16
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 109951.16
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 454.75
Observed number of collisions : 471
p-value of test : 0.23
-----------------------------
Total number of cells containing j balls
j = 0 : 10995016278231
j = 1 : 99999058
j = 2 : 471
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:04:01.09
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smultin_MultinomialOver test:
-----------------------------------------------
N = 10, n = 10000000, r = 0, d = 1024, t = 4,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 1099511627776
Expected number per cell = 1 / 109951.16
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 109951.16
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 454.75
Observed number of collisions : 458
p-value of test : 0.45
-----------------------------
Total number of cells containing j balls
j = 0 : 10995016278218
j = 1 : 99999084
j = 2 : 458
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:04:35.28
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smultin_MultinomialOver test:
-----------------------------------------------
N = 10, n = 10000000, r = 20, d = 1024, t = 4,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 1099511627776
Expected number per cell = 1 / 109951.16
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 109951.16
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 454.75
Observed number of collisions : 462
p-value of test : 0.37
-----------------------------
Total number of cells containing j balls
j = 0 : 10995016278222
j = 1 : 99999076
j = 2 : 462
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:04:41.09
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smultin_MultinomialOver test:
-----------------------------------------------
N = 10, n = 10000000, r = 0, d = 32, t = 8,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 1099511627776
Expected number per cell = 1 / 109951.16
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 109951.16
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 454.75
Observed number of collisions : 484
p-value of test : 0.09
-----------------------------
Total number of cells containing j balls
j = 0 : 10995016278244
j = 1 : 99999032
j = 2 : 484
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:04:40.64
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smultin_MultinomialOver test:
-----------------------------------------------
N = 10, n = 10000000, r = 25, d = 32, t = 8,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 1099511627776
Expected number per cell = 1 / 109951.16
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 109951.16
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 454.75
Observed number of collisions : 448
p-value of test : 0.61
-----------------------------
Total number of cells containing j balls
j = 0 : 10995016278208
j = 1 : 99999104
j = 2 : 448
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:04:46.26
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smultin_MultinomialOver test:
-----------------------------------------------
N = 10, n = 10000000, r = 0, d = 4, t = 20,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 1099511627776
Expected number per cell = 1 / 109951.16
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 109951.16
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 454.74
Observed number of collisions : 452
p-value of test : 0.54
-----------------------------
Total number of cells containing j balls
j = 0 : 10995016278212
j = 1 : 99999096
j = 2 : 452
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:04:38.90
Generator state:
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smultin_MultinomialOver test:
-----------------------------------------------
N = 10, n = 10000000, r = 28, d = 4, t = 20,
Sparse = TRUE
GenerCell = smultin_GenerCellSerial
Number of cells = d^t = 1099511627776
Expected number per cell = 1 / 109951.16
EColl = n^2 / (2k) = 45.47473509
Hashing = TRUE
Collision test
CollisionOver: density = n / k = 1 / 109951.16
Expected number of collisions = Mu = 45.47
-----------------------------------------------
Results of CollisionOver test:
POISSON approximation :
Expected number of collisions = N*Mu : 454.74
Observed number of collisions : 400
p-value of test : 0.9952
-----------------------------
Total number of cells containing j balls
j = 0 : 10995016278160
j = 1 : 99999200
j = 2 : 400
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:04:44.53
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 10, n = 10000000, r = 0, d = 1073741824, t = 2, p = 1
Number of cells = d^t = 1152921504606846976
Lambda = Poisson mean = 216.8404
----------------------------------------------------
Total expected number = N*Lambda : 2168.40
Total observed number : 2224
p-value of test : 0.12
-----------------------------------------------
CPU time used : 00:05:10.84
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 5, 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 : 1084.20
Total observed number : 1085
p-value of test : 0.49
-----------------------------------------------
CPU time used : 00:06:45.46
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 5, n = 20000000, r = 0, d = 65536, t = 4, p = 1
Number of cells = d^t = 18446744073709551616
Lambda = Poisson mean = 108.4202
----------------------------------------------------
Total expected number = N*Lambda : 542.10
Total observed number : 560
p-value of test : 0.23
-----------------------------------------------
CPU time used : 00:08:10.57
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 3, 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 : 650.52
Total observed number : 685
p-value of test : 0.09
-----------------------------------------------
CPU time used : 00:07:27.10
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 3, 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 : 650.52
Total observed number : 654
p-value of test : 0.45
-----------------------------------------------
CPU time used : 00:07:27.60
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 3, n = 20000000, r = 14, d = 256, t = 8, p = 1
Number of cells = d^t = 18446744073709551616
Lambda = Poisson mean = 108.4202
----------------------------------------------------
Total expected number = N*Lambda : 325.26
Total observed number : 336
p-value of test : 0.28
-----------------------------------------------
CPU time used : 00:08:18.50
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 3, n = 20000000, r = 22, d = 256, t = 8, p = 1
Number of cells = d^t = 18446744073709551616
Lambda = Poisson mean = 108.4202
----------------------------------------------------
Total expected number = N*Lambda : 325.26
Total observed number : 316
p-value of test : 0.68
-----------------------------------------------
CPU time used : 00:08:19.13
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
snpair_ClosePairs test:
-----------------------------------------------
N = 10, n = 2000000, r = 0, t = 2, p = 0, m = 30, Torus = TRUE
---------------------------------------
Test based on the 2 nearest points (NP):
Stat. AD on the N values (NP) : 0.76
p-value of test : 0.51
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) : 0.35
p-value of test : 0.89
Test on the Nm values of W_{n,i}(mNP1): 0.50
p-value of test : 0.75
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 300
Number of jumps of Y : 312
p-value of test : 0.25
Stat. AD (mNP2) : 0.82
p-value of test : 0.46
-----------------------------------------------
CPU time used : 00:02:50.50
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
snpair_ClosePairs test:
-----------------------------------------------
N = 10, n = 2000000, 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) : 0.24
p-value of test : 0.97
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): 0.55
p-value of test : 0.69
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 300
Number of jumps of Y : 297
p-value of test : 0.55
Stat. AD (mNP2) : 0.54
p-value of test : 0.71
Stat. AD after spacings (mNP2-S) : 0.48
p-value of test : 0.77
-----------------------------------------------
CPU time used : 00:03:56.15
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
snpair_ClosePairs test:
-----------------------------------------------
N = 5, n = 2000000, r = 0, t = 7, p = 0, m = 30, Torus = TRUE
---------------------------------------
Test based on the 2 nearest points (NP):
Stat. AD on the N values (NP) : 0.47
p-value of test : 0.77
A2 test based on the spacings between the
successive jump times of process Y_n(t):
A2 test on the values of A2 (m-NP) : 1.30
p-value of test : 0.23
Test on the Nm values of W_{n,i}(mNP1): 0.50
p-value of test : 0.75
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 150
Number of jumps of Y : 158
p-value of test : 0.27
Stat. AD (mNP2) : 2.51
p-value of test : 0.05
Stat. AD after spacings (mNP2-S) : 0.44
p-value of test : 0.81
-----------------------------------------------
CPU time used : 00:06:35.89
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
snpair_ClosePairsBitMatch test:
-----------------------------------------------
N = 4, n = 4000000, r = 0, t = 2
-----------------------------------------------
Max of all bit distances : 21.00
p-value of test : 0.84
-----------------------------------------------
CPU time used : 00:02:39.68
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
snpair_ClosePairsBitMatch test:
-----------------------------------------------
N = 2, n = 4000000, r = 0, t = 4
-----------------------------------------------
Max of all bit distances : 10.00
p-value of test : 0.60
-----------------------------------------------
CPU time used : 00:02:21.27
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 40000000, r = 0, d = 16, k = 16
-----------------------------------------------
Number of degrees of freedom : 12
Chi-square statistic : 19.39
p-value of test : 0.08
-----------------------------------------------
CPU time used : 00:09:04.30
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 40000000, r = 26, d = 16, k = 16
-----------------------------------------------
Number of degrees of freedom : 12
Chi-square statistic : 17.45
p-value of test : 0.13
-----------------------------------------------
CPU time used : 00:09:04.30
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 10000000, r = 0, d = 64, k = 64
-----------------------------------------------
Number of degrees of freedom : 23
Chi-square statistic : 16.70
p-value of test : 0.82
-----------------------------------------------
CPU time used : 00:09:04.30
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 10000000, r = 24, d = 64, k = 64
-----------------------------------------------
Number of degrees of freedom : 23
Chi-square statistic : 17.34
p-value of test : 0.79
-----------------------------------------------
CPU time used : 00:09:04.30
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 40000000, r = 0, d = 4
-----------------------------------------------
Number of degrees of freedom : 51
Chi-square statistic : 43.58
p-value of test : 0.76
-----------------------------------------------
CPU time used : 00:04:43.45
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 40000000, r = 28, d = 4
-----------------------------------------------
Number of degrees of freedom : 51
Chi-square statistic : 68.94
p-value of test : 0.05
-----------------------------------------------
CPU time used : 00:04:43.48
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 10000000, r = 0, d = 16
-----------------------------------------------
Number of degrees of freedom : 46
Chi-square statistic : 53.02
p-value of test : 0.22
-----------------------------------------------
CPU time used : 00:06:59.87
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 10000000, r = 26, d = 16
-----------------------------------------------
Number of degrees of freedom : 46
Chi-square statistic : 63.25
p-value of test : 0.05
-----------------------------------------------
CPU time used : 00:06:59.82
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.125
-----------------------------------------------
Number of degrees of freedom : 106
Chi-square statistic : 107.87
p-value of test : 0.43
-----------------------------------------------
CPU time used : 00:11:20.44
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 100000000, r = 27, Alpha = 0, Beta = 0.125
-----------------------------------------------
Number of degrees of freedom : 106
Chi-square statistic : 126.45
p-value of test : 0.09
-----------------------------------------------
CPU time used : 00:11:20.28
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 5000000, r = 0, Alpha = 0, Beta = 0.00390625
-----------------------------------------------
Number of degrees of freedom : 1936
Chi-square statistic : 1843.23
p-value of test : 0.93
-----------------------------------------------
CPU time used : 00:18:09.09
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 5000000, r = 22, Alpha = 0, Beta = 0.00390625
-----------------------------------------------
Number of degrees of freedom : 1936
Chi-square statistic : 1902.23
p-value of test : 0.70
-----------------------------------------------
CPU time used : 00:18:08.60
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sknuth_Run test:
-----------------------------------------------
N = 1, n = 500000000, r = 0, Up = TRUE
-----------------------------------------------
Number of degrees of freedom : 6
Chi-square statistic : 4.22
p-value of test : 0.65
-----------------------------------------------
CPU time used : 00:07:05.23
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sknuth_Run test:
-----------------------------------------------
N = 1, n = 500000000, r = 15, Up = FALSE
-----------------------------------------------
Number of degrees of freedom : 6
Chi-square statistic : 2.24
p-value of test : 0.90
-----------------------------------------------
CPU time used : 00:07:05.22
Generator state:
***********************************************************
Test sknuth_Permutation calling smultin_Multinomial
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smultin_Multinomial test:
-----------------------------------------------
N = 1, n = 50000000, r = 0, t = 10,
Sparse = FALSE
GenerCell = smultin_GenerCellPermut
Number of cells = t! = 3628800
Expected number per cell = 13.77866
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 0.03628799, 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 : 0.82
-----------------------------------------------
CPU time used : 00:07:05.76
Generator state:
***********************************************************
Test sknuth_Permutation calling smultin_Multinomial
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smultin_Multinomial test:
-----------------------------------------------
N = 1, n = 50000000, r = 15, t = 10,
Sparse = FALSE
GenerCell = smultin_GenerCellPermut
Number of cells = t! = 3628800
Expected number per cell = 13.77866
Hashing = FALSE
For Delta > -1, we use the ChiSquare approximation
Correction factor of the ChiSquare:
Delta = 1, Mu = 0.03628799, 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 : 0.45
-----------------------------------------------
CPU time used : 00:07:05.77
Generator state:
***********************************************************
Test sknuth_CollisionPermut calling smultin_Multinomial
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smultin_Multinomial test:
-----------------------------------------------
N = 5, n = 10000000, r = 0, t = 13,
Sparse = TRUE
GenerCell = smultin_GenerCellPermut
Number of cells = t! = 6227020800
Expected number per cell = 1 / 622.70208
EColl = n^2 / (2k) = 8029.521918
Hashing = TRUE
Collision test, Mu = 8025.2245, Sigma = 89.5098
-----------------------------------------------
Test Results for Collisions
For the total number of collisions, we use
the Poisson approximation:
Expected number of collisions = N*Mu : 40126.12
Observed number of collisions : 40181
p-value of test : 0.39
-----------------------------
Total number of cells containing j balls
j = 0 : 31085144181
j = 1 : 49919652
j = 2 : 40153
j = 3 : 14
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:09:14.24
Generator state:
***********************************************************
Test sknuth_CollisionPermut calling smultin_Multinomial
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smultin_Multinomial test:
-----------------------------------------------
N = 5, n = 10000000, r = 15, t = 13,
Sparse = TRUE
GenerCell = smultin_GenerCellPermut
Number of cells = t! = 6227020800
Expected number per cell = 1 / 622.70208
EColl = n^2 / (2k) = 8029.521918
Hashing = TRUE
Collision test, Mu = 8025.2245, Sigma = 89.5098
-----------------------------------------------
Test Results for Collisions
For the total number of collisions, we use
the Poisson approximation:
Expected number of collisions = N*Mu : 40126.12
Observed number of collisions : 40581
p-value of test : 0.01
-----------------------------
Total number of cells containing j balls
j = 0 : 31085144581
j = 1 : 49918855
j = 2 : 40547
j = 3 : 17
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:09:14.34
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sknuth_MaxOft test:
-----------------------------------------------
N = 10, n = 10000000, r = 0, d = 100000, t = 5
Number of categories = 100000
Expected number per category = 100.00
-----------------------------------------------
Test results for chi2 with 99999 degrees of freedom:
Kolmogorov-Smirnov+ statistic = D+ : 0.23
p-value of test : 0.29
Kolmogorov-Smirnov- statistic = D- : 0.20
p-value of test : 0.41
Anderson-Darling statistic = A2 : 0.65
p-value of test : 0.60
Test on the sum of all N observations
Number of degrees of freedom : 999990
Chi-square statistic : 1.00e+6
p-value of test : 0.56
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.062
p-value of test : 0.89
Kolmogorov-Smirnov- statistic = D- : 0.17
p-value of test : 0.49
Anderson-Darling statistic = A2 : 0.68
p-value of test : 0.57
-----------------------------------------------
CPU time used : 00:16:13.90
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sknuth_MaxOft test:
-----------------------------------------------
N = 5, n = 10000000, r = 0, d = 100000, t = 10
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 : 0.41
Kolmogorov-Smirnov- statistic = D- : 0.11
p-value of test : 0.83
Anderson-Darling statistic = A2 : 0.43
p-value of test : 0.81
Test on the sum of all N observations
Number of degrees of freedom : 499995
Chi-square statistic : 4.99e+5
p-value of test : 0.75
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.43
p-value of test : 0.11
Kolmogorov-Smirnov- statistic = D- : 0.028
p-value of test : 0.97
Anderson-Darling statistic = A2 : 0.98
p-value of test : 0.37
-----------------------------------------------
CPU time used : 00:11:39.13
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sknuth_MaxOft test:
-----------------------------------------------
N = 1, n = 10000000, r = 0, d = 100000, t = 20
Number of categories = 100000
Expected number per category = 100.00
-----------------------------------------------
Number of degrees of freedom : 99999
Chi-square statistic :98881.00
p-value of test : 0.9939
-----------------------------------------------
Anderson-Darling statistic : 0.11
p-value of test : 0.89
-----------------------------------------------
CPU time used : 00:03:44.91
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sknuth_MaxOft test:
-----------------------------------------------
N = 1, n = 10000000, r = 0, d = 100000, t = 30
Number of categories = 100000
Expected number per category = 100.00
-----------------------------------------------
Number of degrees of freedom : 99999
Chi-square statistic :99976.68
p-value of test : 0.52
-----------------------------------------------
Anderson-Darling statistic : 0.29
p-value of test : 0.71
-----------------------------------------------
CPU time used : 00:05:09.70
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
svaria_SampleProd test:
-----------------------------------------------
N = 1, n = 10000000, r = 0, t = 10
-----------------------------------------------
Anderson-Darling statistic : 0.51
p-value of test : 0.49
-----------------------------------------------
CPU time used : 00:02:26.74
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
svaria_SampleProd test:
-----------------------------------------------
N = 1, n = 10000000, r = 0, t = 30
-----------------------------------------------
Anderson-Darling statistic : 0.36
p-value of test : 0.64
-----------------------------------------------
CPU time used : 00:05:42.18
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
svaria_SampleMean test:
-----------------------------------------------
N = 10000000, n = 20, r = 0
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 6.39e-5
p-value of test : 0.92
Kolmogorov-Smirnov- statistic = D- : 2.41e-4
p-value of test : 0.31
Anderson-Darling statistic = A2 : 0.76
p-value of test : 0.51
-----------------------------------------------
CPU time used : 00:05:58.88
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
svaria_SampleCorr test:
-----------------------------------------------
N = 1, n = 500000000, r = 0, k = 1
-----------------------------------------------
Normal statistic : -1.26
p-value of test : 0.90
-----------------------------------------------
CPU time used : 00:07:05.24
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
svaria_AppearanceSpacings test:
-----------------------------------------------
N = 1, Q = 10000000, K = 400000000, r = 0, s = 30, L = 15
Sequences of n = (K + Q)L = 6150000000 bits
Q = 10000000 initialization blocks
K = 400000000 blocks for the test
the blocks have L = 15 bits
-----------------------------------------------
Normal statistic : -0.24
p-value of test : 0.59
-----------------------------------------------
CPU time used : 00:07:21.52
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
svaria_AppearanceSpacings test:
-----------------------------------------------
N = 1, Q = 10000000, K = 100000000, r = 20, s = 10, L = 15
Sequences of n = (K + Q)L = 1650000000 bits
Q = 10000000 initialization blocks
K = 100000000 blocks for the test
the blocks have L = 15 bits
-----------------------------------------------
Normal statistic : -1.32
p-value of test : 0.91
-----------------------------------------------
CPU time used : 00:03:07.15
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
svaria_WeightDistrib test:
-----------------------------------------------
N = 1, n = 2000000, r = 0, k = 256, Alpha = 0, Beta = 0.125
-----------------------------------------------
Number of degrees of freedom : 46
Chi-square statistic : 50.10
p-value of test : 0.31
-----------------------------------------------
CPU time used : 00:07:15.43
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
svaria_WeightDistrib test:
-----------------------------------------------
N = 1, n = 2000000, r = 8, k = 256, Alpha = 0, Beta = 0.125
-----------------------------------------------
Number of degrees of freedom : 46
Chi-square statistic : 36.46
p-value of test : 0.84
-----------------------------------------------
CPU time used : 00:07:15.43
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
svaria_WeightDistrib test:
-----------------------------------------------
N = 1, n = 2000000, r = 16, k = 256, Alpha = 0, Beta = 0.125
-----------------------------------------------
Number of degrees of freedom : 46
Chi-square statistic : 47.81
p-value of test : 0.40
-----------------------------------------------
CPU time used : 00:07:15.43
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
svaria_WeightDistrib test:
-----------------------------------------------
N = 1, n = 2000000, r = 24, k = 256, Alpha = 0, Beta = 0.125
-----------------------------------------------
Number of degrees of freedom : 46
Chi-square statistic : 40.06
p-value of test : 0.72
-----------------------------------------------
CPU time used : 00:07:15.43
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
svaria_SumCollector test:
-----------------------------------------------
N = 1, n = 20000000, r = 0, g = 10
-----------------------------------------------
Number of degrees of freedom : 25
Chi-square statistic : 28.04
p-value of test : 0.31
-----------------------------------------------
CPU time used : 00:05:51.52
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 1000000, r = 0, s = 30, L = 60, k = 60
-----------------------------------------------
Number of degrees of freedom : 4
Chi-square statistic : 3.82
p-value of test : 0.43
-----------------------------------------------
CPU time used : 00:03:01.86
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 1000000, r = 20, s = 10, L = 60, k = 60
-----------------------------------------------
Number of degrees of freedom : 4
Chi-square statistic : 1.45
p-value of test : 0.84
-----------------------------------------------
CPU time used : 00:06:25.88
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 50000, r = 0, s = 30, L = 300, k = 300
-----------------------------------------------
Number of degrees of freedom : 3
Chi-square statistic : 2.13
p-value of test : 0.55
-----------------------------------------------
CPU time used : 00:05:09.61
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 50000, r = 20, s = 10, L = 300, k = 300
-----------------------------------------------
Number of degrees of freedom : 3
Chi-square statistic : 1.48
p-value of test : 0.69
-----------------------------------------------
CPU time used : 00:09:24.79
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 2000, r = 0, s = 30, L = 1200, k = 1200
-----------------------------------------------
Number of degrees of freedom : 3
Chi-square statistic : 1.00
p-value of test : 0.80
-----------------------------------------------
CPU time used : 00:06:09.52
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 2000, r = 20, s = 10, L = 1200, k = 1200
-----------------------------------------------
Number of degrees of freedom : 3
Chi-square statistic : 1.20
p-value of test : 0.75
-----------------------------------------------
CPU time used : 00:08:53.02
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smarsa_Savir2 test:
-----------------------------------------------
N = 1, n = 20000000, r = 0, m = 1048576, t = 30
-----------------------------------------------
Number of degrees of freedom : 17
Chi-square statistic : 11.55
p-value of test : 0.83
-----------------------------------------------
CPU time used : 00:08:33.93
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smarsa_GCD test:
-----------------------------------------------
N = 1, n = 100000000, r = 0, s = 30
-----------------------------------------------
Number of degrees of freedom : 2465
Chi2 statistic for GCD values : 2484.28
p-value of test : 0.39
-----------------------------------------------
CPU time used : 00:02:50.11
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
smarsa_GCD test:
-----------------------------------------------
N = 1, n = 40000000, r = 10, s = 20
-----------------------------------------------
Number of degrees of freedom : 1559
Chi2 statistic for GCD values : 1652.69
p-value of test : 0.05
-----------------------------------------------
CPU time used : 00:01:08.04
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 50000000, r = 0, s = 30, L0 = 90, L1 = 90
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 46
ChiSquare statistic : 41.62
p-value of test : 0.66
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 47
ChiSquare statistic : 43.15
p-value of test : 0.63
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 45
ChiSquare statistic : 48.77
p-value of test : 0.32
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 36
ChiSquare statistic : 29.21
p-value of test : 0.78
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 23
ChiSquare statistic : 21.27
p-value of test : 0.56
-----------------------------------------------
CPU time used : 00:02:46.63
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 10000000, r = 20, s = 10, L0 = 90, L1 = 90
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 44
ChiSquare statistic : 64.12
p-value of test : 0.03
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 45
ChiSquare statistic : 33.87
p-value of test : 0.89
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 45
ChiSquare statistic : 45.67
p-value of test : 0.44
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 35
ChiSquare statistic : 34.57
p-value of test : 0.49
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 22
ChiSquare statistic : 18.04
p-value of test : 0.70
-----------------------------------------------
CPU time used : 00:01:16.54
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 5000000, r = 0, s = 30, L0 = 1000, L1 = 1000
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 140
ChiSquare statistic : 124.00
p-value of test : 0.83
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 141
ChiSquare statistic : 142.61
p-value of test : 0.45
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 500
ChiSquare statistic : 576.17
p-value of test : 0.01
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 132
ChiSquare statistic : 142.92
p-value of test : 0.24
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 72
ChiSquare statistic : 74.32
p-value of test : 0.40
-----------------------------------------------
CPU time used : 00:02:59.65
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 1000000, r = 20, s = 10, L0 = 1000, L1 = 1000
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 128
ChiSquare statistic : 133.25
p-value of test : 0.36
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 130
ChiSquare statistic : 127.23
p-value of test : 0.55
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 500
ChiSquare statistic : 483.09
p-value of test : 0.70
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 122
ChiSquare statistic : 123.93
p-value of test : 0.43
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 66
ChiSquare statistic : 49.83
p-value of test : 0.93
-----------------------------------------------
CPU time used : 00:01:25.04
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 500000, r = 0, s = 30, L0 = 10000, L1 = 10000
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 366
ChiSquare statistic : 362.71
p-value of test : 0.54
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 366
ChiSquare statistic : 349.04
p-value of test : 0.73
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 5000
ChiSquare statistic : 5117.98
p-value of test : 0.12
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 360
ChiSquare statistic : 373.48
p-value of test : 0.30
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 192
ChiSquare statistic : 179.77
p-value of test : 0.73
-----------------------------------------------
CPU time used : 00:02:57.74
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
swalk_RandomWalk1 test:
-----------------------------------------------
N = 1, n = 100000, r = 20, s = 10, L0 = 10000, L1 = 10000
-----------------------------------------------
Test on the values of the Statistic H
Number of degrees of freedom : 318
ChiSquare statistic : 323.67
p-value of test : 0.40
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 318
ChiSquare statistic : 290.65
p-value of test : 0.86
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 5000
ChiSquare statistic : 4924.56
p-value of test : 0.77
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 315
ChiSquare statistic : 330.34
p-value of test : 0.27
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 169
ChiSquare statistic : 161.29
p-value of test : 0.65
-----------------------------------------------
CPU time used : 00:01:25.06
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
scomp_LinearComp test:
-----------------------------------------------
N = 1, n = 120000, r = 0, s = 1
-----------------------------------------------
Number of degrees of freedom : 10
Chi2 statistic for size of jumps : 13.32
p-value of test : 0.21
-----------------------------------------------
Normal statistic for number of jumps : -0.22
p-value of test : 0.59
-----------------------------------------------
CPU time used : 00:02:17.13
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
scomp_LinearComp test:
-----------------------------------------------
N = 1, n = 120000, r = 29, s = 1
-----------------------------------------------
Number of degrees of freedom : 10
Chi2 statistic for size of jumps : 10.87
p-value of test : 0.37
-----------------------------------------------
Normal statistic for number of jumps : -0.43
p-value of test : 0.67
-----------------------------------------------
CPU time used : 00:02:15.72
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
scomp_LempelZiv test:
-----------------------------------------------
N = 10, n = 33554432, r = 0, s = 30, k = 25
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.15
p-value of test : 0.59
Kolmogorov-Smirnov- statistic = D- : 0.15
p-value of test : 0.60
Anderson-Darling statistic = A2 : 0.37
p-value of test : 0.87
Tests on the sum of all N observations
Standardized normal statistic : 0.25
p-value of test : 0.40
Sample variance : 1.33
p-value of test : 0.22
-----------------------------------------------
CPU time used : 00:01:17.25
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sspectral_Fourier3 test:
-----------------------------------------------
N = 50000, n = 16384, r = 0, s = 30, k = 14
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 8.53e-3
p-value of test : 0.55
Kolmogorov-Smirnov- statistic = D- : 5.38e-3
p-value of test : 0.79
Anderson-Darling statistic = A2 : 0.20
p-value of test : 0.9913
-----------------------------------------------
CPU time used : 00:06:49.34
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sspectral_Fourier3 test:
-----------------------------------------------
N = 50000, n = 16384, r = 20, s = 10, k = 14
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 2.24e-3
p-value of test : 0.96
Kolmogorov-Smirnov- statistic = D- : 0.013
p-value of test : 0.25
Anderson-Darling statistic = A2 : 0.54
p-value of test : 0.71
-----------------------------------------------
CPU time used : 00:07:34.18
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sstring_LongestHeadRun test:
-----------------------------------------------
N = 1, n = 1000, r = 0, s = 30, L = 10000020
-----------------------------------------------
Number of degrees of freedom : 8
Chi-square statistic : 6.40
p-value of test : 0.60
-----------------------------------------------
Global longest run of 1 : 32.00
p-value of test : 0.50
-----------------------------------------------
CPU time used : 00:04:43.50
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sstring_LongestHeadRun test:
-----------------------------------------------
N = 1, n = 300, r = 20, s = 10, L = 10000020
-----------------------------------------------
Number of degrees of freedom : 7
Chi-square statistic : 5.05
p-value of test : 0.65
-----------------------------------------------
Global longest run of 1 : 27.00
p-value of test : 0.9963
-----------------------------------------------
CPU time used : 00:04:15.13
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sstring_PeriodsInStrings test:
-----------------------------------------------
N = 1, n = 300000000, r = 0, s = 30
-----------------------------------------------
Number of degrees of freedom : 302
Chi-square statistic : 300.36
p-value of test : 0.52
-----------------------------------------------
CPU time used : 00:04:15.15
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sstring_PeriodsInStrings test:
-----------------------------------------------
N = 1, n = 300000000, r = 15, s = 15
-----------------------------------------------
Number of degrees of freedom : 56
Chi-square statistic : 68.78
p-value of test : 0.12
-----------------------------------------------
CPU time used : 00:04:15.13
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sstring_HammingWeight2 test:
-----------------------------------------------
N = 100, n = 100000000, r = 0, s = 30, L = 1000000
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.032
p-value of test : 0.80
Kolmogorov-Smirnov- statistic = D- : 0.11
p-value of test : 0.08
Anderson-Darling statistic = A2 : 1.48
p-value of test : 0.18
Test on the sum of all N observations
Number of degrees of freedom : 10000
Chi-square statistic :10156.92
p-value of test : 0.13
-----------------------------------------------
CPU time used : 00:04:43.50
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sstring_HammingWeight2 test:
-----------------------------------------------
N = 30, n = 100000000, r = 20, s = 10, L = 1000000
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.065
p-value of test : 0.74
Kolmogorov-Smirnov- statistic = D- : 0.11
p-value of test : 0.47
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 : 3000
Chi-square statistic : 3039.41
p-value of test : 0.30
-----------------------------------------------
CPU time used : 00:04:15.13
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 500000000, r = 0, s = 30, L = 30
-----------------------------------------------
Normal statistic : 0.39
p-value of test : 0.35
-----------------------------------------------
CPU time used : 00:07:05.24
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 50000000, r = 0, s = 30, L = 300
-----------------------------------------------
Normal statistic : 0.28
p-value of test : 0.39
-----------------------------------------------
CPU time used : 00:07:05.25
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 10000000, r = 0, s = 30, L = 1200
-----------------------------------------------
Normal statistic : 0.63
p-value of test : 0.27
-----------------------------------------------
CPU time used : 00:05:40.31
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 300000000, r = 0, s = 30, L = 30, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 577
Chi-square statistic : 554.62
p-value of test : 0.74
-----------------------------------------------
CPU time used : 00:08:30.27
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 100000000, r = 20, s = 10, L = 30, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 533
Chi-square statistic : 546.42
p-value of test : 0.33
-----------------------------------------------
CPU time used : 00:08:30.27
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 30000000, r = 0, s = 30, L = 300, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 4117
Chi-square statistic : 4035.75
p-value of test : 0.81
-----------------------------------------------
CPU time used : 00:08:30.33
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 10000000, r = 20, s = 10, L = 300, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 3585
Chi-square statistic : 3610.10
p-value of test : 0.38
-----------------------------------------------
CPU time used : 00:08:30.33
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 10000000, r = 0, s = 30, L = 1200, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 11825
Chi-square statistic :11896.10
p-value of test : 0.32
-----------------------------------------------
CPU time used : 00:11:20.97
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sstring_HammingIndep test:
-----------------------------------------------
N = 1, n = 1000000, r = 20, s = 10, L = 1200, d = 0
Counters with expected numbers >= 10
-----------------------------------------------
Number of degrees of freedom : 7473
Chi-square statistic : 7452.66
p-value of test : 0.56
-----------------------------------------------
CPU time used : 00:03:24.69
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sstring_Run test:
-----------------------------------------------
N = 1, n = 1000000000, r = 0, s = 30
-----------------------------------------------
Total number of 1 runs: 1000000003
Number of degrees of freedom : 52
Chi2 statistic for number of runs : 44.75
p-value of test : 0.75
-----------------------------------------------
Total number of bits: 3999954510
Normal statistic for number of bits : -0.51
p-value of test : 0.69
-----------------------------------------------
CPU time used : 00:01:53.41
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sstring_Run test:
-----------------------------------------------
N = 1, n = 1000000000, r = 20, s = 10
-----------------------------------------------
Total number of 1 runs: 1000000002
Number of degrees of freedom : 52
Chi2 statistic for number of runs : 50.05
p-value of test : 0.55
-----------------------------------------------
Total number of bits: 3999981450
Normal statistic for number of bits : -0.21
p-value of test : 0.58
-----------------------------------------------
CPU time used : 00:05:40.19
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sstring_AutoCor test:
-----------------------------------------------
N = 10, n = 1000000021, r = 0, s = 30, d = 1
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.40
p-value of test : 0.03
Kolmogorov-Smirnov- statistic = D- : 7.90e-3
p-value of test : 0.9915
Anderson-Darling statistic = A2 : 2.23
p-value of test : 0.07
Tests on the sum of all N observations
Standardized normal statistic : -2.10
p-value of test : 0.98
Sample variance : 1.00
p-value of test : 0.44
-----------------------------------------------
CPU time used : 00:04:43.50
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sstring_AutoCor test:
-----------------------------------------------
N = 5, n = 1000000001, r = 20, s = 10, d = 1
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.35
p-value of test : 0.23
Kolmogorov-Smirnov- statistic = D- : 0.26
p-value of test : 0.43
Anderson-Darling statistic = A2 : 0.90
p-value of test : 0.41
Tests on the sum of all N observations
Standardized normal statistic : -0.52
p-value of test : 0.70
Sample variance : 0.20
p-value of test : 0.94
-----------------------------------------------
CPU time used : 00:07:05.23
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sstring_AutoCor test:
-----------------------------------------------
N = 10, n = 1000000020, r = 0, s = 30, d = 30
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.025
p-value of test : 0.97
Kolmogorov-Smirnov- statistic = D- : 0.32
p-value of test : 0.10
Anderson-Darling statistic = A2 : 2.38
p-value of test : 0.06
Tests on the sum of all N observations
Standardized normal statistic : 2.03
p-value of test : 0.02
Sample variance : 0.84
p-value of test : 0.58
-----------------------------------------------
CPU time used : 00:04:43.48
Generator state:
***********************************************************
HOST = sun4i, Linux
sunxi_rand
sstring_AutoCor test:
-----------------------------------------------
N = 5, n = 1000000010, r = 20, s = 10, d = 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.58
p-value of test : 0.02
Kolmogorov-Smirnov- statistic = D- : 0.036
p-value of test : 0.96
Anderson-Darling statistic = A2 : 1.96
p-value of test : 0.10
Tests on the sum of all N observations
Standardized normal statistic : -1.66
p-value of test : 0.95
Sample variance : 0.39
p-value of test : 0.81
-----------------------------------------------
CPU time used : 00:07:05.23
Generator state:
========= Summary results of Crush =========
Version: TestU01 1.2.3
Generator: sunxi_rand
Number of statistics: 144
Total CPU time: 09:57:32.23
All tests were passed
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