Skip to content

Instantly share code, notes, and snippets.

@rasky

rasky/gist:fdc419013dcdb8b471928e4769b202a4

Created September 9, 2017 10:43
Show Gist options
  • Save rasky/fdc419013dcdb8b471928e4769b202a4 to your computer and use it in GitHub Desktop.
Save rasky/fdc419013dcdb8b471928e4769b202a4 to your computer and use it in GitHub Desktop.
Download ZIP
Raw
gistfile1.txt
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Starting Crush
Version: TestU01 1.2.3
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
***********************************************************
Test smarsa_SerialOver calling smultin_MultinomialOver
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 1.84e+7
p-value of test : eps *****
-----------------------------------------------
CPU time used : 00:00:48.54
Generator state:
I1 = 576897400, I2 = 2925518598
***********************************************************
Test smarsa_SerialOver calling smultin_MultinomialOver
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 1.67e+7
p-value of test : eps *****
-----------------------------------------------
CPU time used : 00:00:32.40
Generator state:
I1 = 1857973488, I2 = 2042692961
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 465
p-value of test : 0.32
-----------------------------
Total number of cells containing j balls
j = 0 : 10995016278225
j = 1 : 99999070
j = 2 : 465
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:00:46.53
Generator state:
I1 = 705600752, I2 = 2202361370
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 472
p-value of test : 0.22
-----------------------------
Total number of cells containing j balls
j = 0 : 10995016278232
j = 1 : 99999056
j = 2 : 472
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:00:47.96
Generator state:
I1 = 1511341164, I2 = 1032076391
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 457
p-value of test : 0.46
-----------------------------
Total number of cells containing j balls
j = 0 : 10995016278217
j = 1 : 99999086
j = 2 : 457
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:01:13.41
Generator state:
I1 = 3244057013, I2 = 3475909833
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 693
p-value of test : 2.1e-25 *****
-----------------------------
Total number of cells containing j balls
j = 0 : 10995016278453
j = 1 : 99998614
j = 2 : 693
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:01:12.76
Generator state:
I1 = 740217327, I2 = 1421751839
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 855
p-value of test : 7.1e-63 *****
-----------------------------
Total number of cells containing j balls
j = 0 : 10995016278615
j = 1 : 99998290
j = 2 : 855
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:01:12.10
Generator state:
I1 = 1532892535, I2 = 3206835795
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 441
p-value of test : 0.73
-----------------------------
Total number of cells containing j balls
j = 0 : 10995016278201
j = 1 : 99999118
j = 2 : 441
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:01:06.47
Generator state:
I1 = 2347230102, I2 = 2741439889
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 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 : 00:01:12.72
Generator state:
I1 = 1658867211, I2 = 1943889163
***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 463
p-value of test : 0.36
-----------------------------
Total number of cells containing j balls
j = 0 : 10995016278223
j = 1 : 99999074
j = 2 : 463
j = 3 : 0
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:01:10.85
Generator state:
I1 = 1364305945, I2 = 2968921524
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
smarsa_BirthdaySpacings test:
-----------------------------------------------
N = 5, n = 20000000, r = 0, d = 2147483648, t = 2, p = 1
Number of cells = d^t = 4611686018427387904
Lambda = Poisson mean = 433.6809
----------------------------------------------------
Total expected number = N*Lambda : 2168.40
Total observed number : 2113
p-value of test : 0.88
-----------------------------------------------
CPU time used : 00:00:24.41
Generator state:
I1 = 3506875174, I2 = 1730631922
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 2441
p-value of test :1.2e-273 *****
-----------------------------------------------
CPU time used : 00:00:27.04
Generator state:
I1 = 792562411, I2 = 4204818403
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 803
p-value of test : 8.3e-26 *****
-----------------------------------------------
CPU time used : 00:00:27.72
Generator state:
I1 = 2301542659, I2 = 3839346219
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 669
p-value of test : 0.24
-----------------------------------------------
CPU time used : 00:00:18.53
Generator state:
I1 = 1450915670, I2 = 1993589770
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 12640
p-value of test : eps *****
-----------------------------------------------
CPU time used : 00:00:20.17
Generator state:
I1 = 490627989, I2 = 1886995703
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 1381915
p-value of test : eps *****
-----------------------------------------------
CPU time used : 00:00:21.25
Generator state:
I1 = 692706254, I2 = 1741541859
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 313
p-value of test : 0.74
-----------------------------------------------
CPU time used : 00:00:19.05
Generator state:
I1 = 494188671, I2 = 3073920801
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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) : 0.44
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) : 1.31
p-value of test : 0.23
Test on the Nm values of W_{n,i}(mNP1): 0.38
p-value of test : 0.87
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 300
Number of jumps of Y : 293
p-value of test : 0.64
Stat. AD (mNP2) : 0.46
p-value of test : 0.79
-----------------------------------------------
CPU time used : 00:00:09.69
Generator state:
I1 = 2243585064, I2 = 3524937460
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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) : 2.33
p-value of test : 0.06
A2 test based on the spacings between the
successive jump times of process Y_n(t):
A2 test on the values of A2 (m-NP) : 2.79
p-value of test : 0.04
Test on the Nm values of W_{n,i}(mNP1): 1.61
p-value of test : 0.15
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) : 1.04
p-value of test : 0.34
Stat. AD after spacings (mNP2-S) : 0.37
p-value of test : 0.88
-----------------------------------------------
CPU time used : 00:00:10.04
Generator state:
I1 = 3893544860, I2 = 4020552053
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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) : 13.21
p-value of test : 4.9e-7 *****
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) : 59.46
p-value of test : 1.9e-27 *****
Test on the Nm values of W_{n,i}(mNP1): 65.01
p-value of test : 7.1e-30 *****
Test on the jump times of Y
(superposition of Yn):
Expected number of jumps of Y = mN : 150
Number of jumps of Y : 322
p-value of test : 3.1e-34 *****
Stat. AD (mNP2) : 21.41
p-value of test : 1.1e-10 *****
Stat. AD after spacings (mNP2-S) : 0.41
p-value of test : 0.83
-----------------------------------------------
CPU time used : 00:00:21.12
Generator state:
I1 = 2390912339, I2 = 2049520807
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
snpair_ClosePairsBitMatch test:
-----------------------------------------------
N = 4, n = 4000000, r = 0, t = 2
-----------------------------------------------
Max of all bit distances : 22.00
p-value of test : 0.37
-----------------------------------------------
CPU time used : 00:00:09.75
Generator state:
I1 = 2940957321, I2 = 1389170662
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 00:00:09.78
Generator state:
I1 = 2569306192, I2 = 34139810
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 40000000, r = 0, d = 16, k = 16
-----------------------------------------------
Number of degrees of freedom : 12
Chi-square statistic : 7.34
p-value of test : 0.83
-----------------------------------------------
CPU time used : 00:00:13.40
Generator state:
I1 = 1888033962, I2 = 3562713522
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 40000000, r = 26, d = 16, k = 16
-----------------------------------------------
Number of degrees of freedom : 12
Chi-square statistic : 26.27
p-value of test : 9.8e-3
-----------------------------------------------
CPU time used : 00:00:15.37
Generator state:
I1 = 3237982318, I2 = 4126081610
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 10000000, r = 0, d = 64, k = 64
-----------------------------------------------
Number of degrees of freedom : 23
Chi-square statistic : 23.34
p-value of test : 0.44
-----------------------------------------------
CPU time used : 00:00:13.62
Generator state:
I1 = 1110866756, I2 = 347217931
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sknuth_SimpPoker test:
-----------------------------------------------
N = 1, n = 10000000, r = 24, d = 64, k = 64
-----------------------------------------------
Number of degrees of freedom : 23
Chi-square statistic : 18.84
p-value of test : 0.71
-----------------------------------------------
CPU time used : 00:00:15.72
Generator state:
I1 = 2912417883, I2 = 2213319708
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 40000000, r = 0, d = 4
-----------------------------------------------
Number of degrees of freedom : 51
Chi-square statistic : 66.48
p-value of test : 0.07
-----------------------------------------------
CPU time used : 00:00:06.89
Generator state:
I1 = 3394060138, I2 = 2764033598
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 40000000, r = 28, d = 4
-----------------------------------------------
Number of degrees of freedom : 51
Chi-square statistic : 50.31
p-value of test : 0.50
-----------------------------------------------
CPU time used : 00:00:07.75
Generator state:
I1 = 324330955, I2 = 4146734697
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 10000000, r = 0, d = 16
-----------------------------------------------
Number of degrees of freedom : 46
Chi-square statistic : 37.20
p-value of test : 0.82
-----------------------------------------------
CPU time used : 00:00:08.87
Generator state:
I1 = 1907637337, I2 = 687906132
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sknuth_CouponCollector test:
-----------------------------------------------
N = 1, n = 10000000, r = 26, d = 16
-----------------------------------------------
Number of degrees of freedom : 46
Chi-square statistic : 47.60
p-value of test : 0.41
-----------------------------------------------
CPU time used : 00:00:10.33
Generator state:
I1 = 448597651, I2 = 3800874226
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 100000000, r = 0, Alpha = 0, Beta = 0.125
-----------------------------------------------
Number of degrees of freedom : 106
Chi-square statistic : 91.70
p-value of test : 0.84
-----------------------------------------------
CPU time used : 00:00:10.17
Generator state:
I1 = 2420129918, I2 = 2390682020
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 100000000, r = 27, Alpha = 0, Beta = 0.125
-----------------------------------------------
Number of degrees of freedom : 106
Chi-square statistic : 108.97
p-value of test : 0.40
-----------------------------------------------
CPU time used : 00:00:12.77
Generator state:
I1 = 332625611, I2 = 1413207125
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 5000000, r = 0, Alpha = 0, Beta = 0.00390625
-----------------------------------------------
Number of degrees of freedom : 1936
Chi-square statistic : 1887.87
p-value of test : 0.78
-----------------------------------------------
CPU time used : 00:00:12.90
Generator state:
I1 = 2593630453, I2 = 1709759046
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sknuth_Gap test:
-----------------------------------------------
N = 1, n = 5000000, r = 22, Alpha = 0, Beta = 0.00390625
-----------------------------------------------
Number of degrees of freedom : 1936
Chi-square statistic : 1988.61
p-value of test : 0.20
-----------------------------------------------
CPU time used : 00:00:16.15
Generator state:
I1 = 2782634094, I2 = 3666117522
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sknuth_Run test:
-----------------------------------------------
N = 1, n = 500000000, r = 0, Up = TRUE
-----------------------------------------------
Number of degrees of freedom : 6
Chi-square statistic : 3.93
p-value of test : 0.69
-----------------------------------------------
CPU time used : 00:00:08.90
Generator state:
I1 = 3898734963, I2 = 2908326516
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sknuth_Run test:
-----------------------------------------------
N = 1, n = 500000000, r = 15, Up = FALSE
-----------------------------------------------
Number of degrees of freedom : 6
Chi-square statistic :17901.81
p-value of test : eps *****
-----------------------------------------------
CPU time used : 00:00:10.96
Generator state:
I1 = 4025046037, I2 = 2494433978
***********************************************************
Test sknuth_Permutation calling smultin_Multinomial
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 0.37
-----------------------------------------------
CPU time used : 00:00:21.91
Generator state:
I1 = 1255803875, I2 = 3657291556
***********************************************************
Test sknuth_Permutation calling smultin_Multinomial
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 3.89e+6
p-value of test : eps *****
-----------------------------------------------
CPU time used : 00:00:23.68
Generator state:
I1 = 939052985, I2 = 1306505763
***********************************************************
Test sknuth_CollisionPermut calling smultin_Multinomial
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 40137
p-value of test : 0.48
-----------------------------
Total number of cells containing j balls
j = 0 : 31085144137
j = 1 : 49919752
j = 2 : 40085
j = 3 : 26
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:00:40.84
Generator state:
I1 = 295587389, I2 = 3952988366
***********************************************************
Test sknuth_CollisionPermut calling smultin_Multinomial
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 40586
p-value of test : 0.01
-----------------------------
Total number of cells containing j balls
j = 0 : 31085144586
j = 1 : 49918846
j = 2 : 40550
j = 3 : 18
j = 4 : 0
j = 5 : 0
-----------------------------------------------
CPU time used : 00:00:41.97
Generator state:
I1 = 1516285717, I2 = 4008790362
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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+ : 0.22
p-value of test : 0.32
Kolmogorov-Smirnov- statistic = D- : 0.13
p-value of test : 0.64
Anderson-Darling statistic = A2 : 1.04
p-value of test : 0.33
Test on the sum of all N observations
Number of degrees of freedom : 999990
Chi-square statistic : 9.99e+5
p-value of test : 0.71
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.20
p-value of test : 0.40
Kolmogorov-Smirnov- statistic = D- : 0.19
p-value of test : 0.45
Anderson-Darling statistic = A2 : 0.56
p-value of test : 0.68
-----------------------------------------------
CPU time used : 00:00:27.03
Generator state:
I1 = 3665569324, I2 = 629661167
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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+ : 0.085
p-value of test : 0.88
Kolmogorov-Smirnov- statistic = D- : 0.36
p-value of test : 0.21
Anderson-Darling statistic = A2 : 0.96
p-value of test : 0.37
Test on the sum of all N observations
Number of degrees of freedom : 499995
Chi-square statistic : 5.01e+5
p-value of test : 0.16
-----------------------------------------------
Test results for Anderson-Darling:
Kolmogorov-Smirnov+ statistic = D+ : 0.19
p-value of test : 0.63
Kolmogorov-Smirnov- statistic = D- : 0.17
p-value of test : 0.68
Anderson-Darling statistic = A2 : 0.32
p-value of test : 0.92
-----------------------------------------------
CPU time used : 00:00:15.58
Generator state:
I1 = 4002286095, I2 = 3420013490
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 :99515.92
p-value of test : 0.86
-----------------------------------------------
Anderson-Darling statistic : 0.045
p-value of test : 0.95
-----------------------------------------------
CPU time used : 00:00:04.00
Generator state:
I1 = 3956906245, I2 = 2358263344
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 1.00e+5
p-value of test : 0.26
-----------------------------------------------
Anderson-Darling statistic : 0.85
p-value of test : 0.15
-----------------------------------------------
CPU time used : 00:00:05.01
Generator state:
I1 = 2314276714, I2 = 362173289
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
svaria_SampleProd test:
-----------------------------------------------
N = 1, n = 10000000, r = 0, t = 10
-----------------------------------------------
Anderson-Darling statistic : 0.45
p-value of test : 0.55
-----------------------------------------------
CPU time used : 00:00:02.63
Generator state:
I1 = 2082656300, I2 = 1792896170
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
svaria_SampleProd test:
-----------------------------------------------
N = 1, n = 10000000, r = 0, t = 30
-----------------------------------------------
Anderson-Darling statistic : 0.81
p-value of test : 0.19
-----------------------------------------------
CPU time used : 00:00:04.95
Generator state:
I1 = 1356265247, I2 = 1435534972
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
svaria_SampleMean test:
-----------------------------------------------
N = 10000000, n = 20, r = 0
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 1.12e-4
p-value of test : 0.78
Kolmogorov-Smirnov- statistic = D- : 1.90e-4
p-value of test : 0.48
Anderson-Darling statistic = A2 : 0.65
p-value of test : 0.61
-----------------------------------------------
CPU time used : 00:00:05.68
Generator state:
I1 = 1514259729, I2 = 1426084026
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
svaria_SampleCorr test:
-----------------------------------------------
N = 1, n = 500000000, r = 0, k = 1
-----------------------------------------------
Normal statistic : -0.17
p-value of test : 0.57
-----------------------------------------------
CPU time used : 00:00:06.06
Generator state:
I1 = 333702126, I2 = 3206614423
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : -0.11
p-value of test : 0.54
-----------------------------------------------
CPU time used : 00:00:10.23
Generator state:
I1 = 2117938491, I2 = 431889195
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 1.11
p-value of test : 0.13
-----------------------------------------------
CPU time used : 00:00:03.18
Generator state:
I1 = 473822454, I2 = 648280129
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 45.58
p-value of test : 0.49
-----------------------------------------------
CPU time used : 00:00:05.11
Generator state:
I1 = 1474423822, I2 = 109645052
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 49.76
p-value of test : 0.33
-----------------------------------------------
CPU time used : 00:00:06.81
Generator state:
I1 = 1098344152, I2 = 3525282189
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 48.16
p-value of test : 0.39
-----------------------------------------------
CPU time used : 00:00:06.77
Generator state:
I1 = 1275969477, I2 = 3311773114
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 48.15
p-value of test : 0.39
-----------------------------------------------
CPU time used : 00:00:06.81
Generator state:
I1 = 2350636859, I2 = 3342532177
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
svaria_SumCollector test:
-----------------------------------------------
N = 1, n = 20000000, r = 0, g = 10
-----------------------------------------------
Number of degrees of freedom : 25
Chi-square statistic : 12.07
p-value of test : 0.99
-----------------------------------------------
CPU time used : 00:00:04.92
Generator state:
I1 = 1517684497, I2 = 2491693287
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 1000000, r = 0, s = 30, L = 60, k = 60
-----------------------------------------------
Number of degrees of freedom : 4
Chi-square statistic : 4.07
p-value of test : 0.40
-----------------------------------------------
CPU time used : 00:00:19.24
Generator state:
I1 = 949598900, I2 = 486911258
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 1000000, r = 20, s = 10, L = 60, k = 60
-----------------------------------------------
Number of degrees of freedom : 4
Chi-square statistic : 4.25
p-value of test : 0.37
-----------------------------------------------
CPU time used : 00:00:21.84
Generator state:
I1 = 347311875, I2 = 3427502421
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 50000, r = 0, s = 30, L = 300, k = 300
-----------------------------------------------
Number of degrees of freedom : 3
Chi-square statistic : 8.00
p-value of test : 0.05
-----------------------------------------------
CPU time used : 00:00:32.32
Generator state:
I1 = 763463159, I2 = 3619042079
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 50000, r = 20, s = 10, L = 300, k = 300
-----------------------------------------------
Number of degrees of freedom : 3
Chi-square statistic : 4.68
p-value of test : 0.20
-----------------------------------------------
CPU time used : 00:00:37.92
Generator state:
I1 = 2551501858, I2 = 3186922502
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 2000, r = 0, s = 30, L = 1200, k = 1200
-----------------------------------------------
Number of degrees of freedom : 3
Chi-square statistic : 1.72
p-value of test : 0.63
-----------------------------------------------
CPU time used : 00:00:33.15
Generator state:
I1 = 1772016023, I2 = 3167182156
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
smarsa_MatrixRank test:
-----------------------------------------------
N = 1, n = 2000, r = 20, s = 10, L = 1200, k = 1200
-----------------------------------------------
Number of degrees of freedom : 3
Chi-square statistic : 0.63
p-value of test : 0.89
-----------------------------------------------
CPU time used : 00:00:45.85
Generator state:
I1 = 4135116385, I2 = 1717868635
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
smarsa_Savir2 test:
-----------------------------------------------
N = 1, n = 20000000, r = 0, m = 1048576, t = 30
-----------------------------------------------
Number of degrees of freedom : 17
Chi-square statistic : 8.19
p-value of test : 0.96
-----------------------------------------------
CPU time used : 00:00:06.39
Generator state:
I1 = 3474770721, I2 = 840820572
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
smarsa_GCD test:
-----------------------------------------------
N = 1, n = 100000000, r = 0, s = 30
-----------------------------------------------
Number of degrees of freedom : 2465
Chi2 statistic for GCD values : 2564.53
p-value of test : 0.08
-----------------------------------------------
CPU time used : 00:00:23.01
Generator state:
I1 = 4026279598, I2 = 3912671854
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
smarsa_GCD test:
-----------------------------------------------
N = 1, n = 40000000, r = 10, s = 20
-----------------------------------------------
Number of degrees of freedom : 1559
Chi2 statistic for GCD values : 1616.18
p-value of test : 0.15
-----------------------------------------------
CPU time used : 00:00:06.58
Generator state:
I1 = 1141763352, I2 = 2518061028
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 170.74
p-value of test : 3.3e-16 *****
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 47
ChiSquare statistic : 98.77
p-value of test : 1.5e-5 *****
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 45
ChiSquare statistic : 40.93
p-value of test : 0.64
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 36
ChiSquare statistic : 53.37
p-value of test : 0.03
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 23
ChiSquare statistic : 30.02
p-value of test : 0.15
-----------------------------------------------
CPU time used : 00:00:24.15
Generator state:
I1 = 3729410167, I2 = 3309143079
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 43.26
p-value of test : 0.50
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 45
ChiSquare statistic : 50.77
p-value of test : 0.26
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 45
ChiSquare statistic : 49.65
p-value of test : 0.29
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 35
ChiSquare statistic : 31.38
p-value of test : 0.64
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 22
ChiSquare statistic : 31.89
p-value of test : 0.08
-----------------------------------------------
CPU time used : 00:00:05.88
Generator state:
I1 = 334183498, I2 = 875184021
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 149.73
p-value of test : 0.27
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 141
ChiSquare statistic : 128.11
p-value of test : 0.77
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 500
ChiSquare statistic : 532.79
p-value of test : 0.15
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 132
ChiSquare statistic : 142.56
p-value of test : 0.25
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 72
ChiSquare statistic : 87.59
p-value of test : 0.10
-----------------------------------------------
CPU time used : 00:00:21.71
Generator state:
I1 = 244605090, I2 = 218155685
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 110.26
p-value of test : 0.87
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 130
ChiSquare statistic : 115.69
p-value of test : 0.81
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 500
ChiSquare statistic : 486.10
p-value of test : 0.66
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 122
ChiSquare statistic : 127.91
p-value of test : 0.34
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 66
ChiSquare statistic : 71.98
p-value of test : 0.29
-----------------------------------------------
CPU time used : 00:00:04.50
Generator state:
I1 = 3522339049, I2 = 1068472729
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 389.68
p-value of test : 0.19
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 366
ChiSquare statistic : 395.39
p-value of test : 0.14
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 5000
ChiSquare statistic : 5154.42
p-value of test : 0.06
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 360
ChiSquare statistic : 360.03
p-value of test : 0.49
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 192
ChiSquare statistic : 194.57
p-value of test : 0.43
-----------------------------------------------
CPU time used : 00:00:20.01
Generator state:
I1 = 2827680677, I2 = 2748204714
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 278.35
p-value of test : 0.95
-----------------------------------------------
Test on the values of the Statistic M
Number of degrees of freedom : 318
ChiSquare statistic : 317.60
p-value of test : 0.50
-----------------------------------------------
Test on the values of the Statistic J
Number of degrees of freedom : 5000
ChiSquare statistic : 4850.28
p-value of test : 0.93
-----------------------------------------------
Test on the values of the Statistic R
Number of degrees of freedom : 315
ChiSquare statistic : 326.84
p-value of test : 0.31
-----------------------------------------------
Test on the values of the Statistic C
Number of degrees of freedom : 169
ChiSquare statistic : 198.52
p-value of test : 0.06
-----------------------------------------------
CPU time used : 00:00:04.11
Generator state:
I1 = 150536551, I2 = 3447797330
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
scomp_LinearComp test:
-----------------------------------------------
N = 1, n = 120000, r = 0, s = 1
-----------------------------------------------
Number of degrees of freedom : 10
Chi2 statistic for size of jumps : 7.26
p-value of test : 0.70
-----------------------------------------------
Normal statistic for number of jumps : -0.50
p-value of test : 0.69
-----------------------------------------------
CPU time used : 00:00:11.01
Generator state:
I1 = 1014697937, I2 = 643051065
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
scomp_LinearComp test:
-----------------------------------------------
N = 1, n = 120000, r = 29, s = 1
-----------------------------------------------
Number of degrees of freedom : 10
Chi2 statistic for size of jumps : 14.56
p-value of test : 0.15
-----------------------------------------------
Normal statistic for number of jumps : -65.24
p-value of test : 1 - eps1 *****
-----------------------------------------------
CPU time used : 00:00:07.00
Generator state:
I1 = 2824159803, I2 = 790866551
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
scomp_LempelZiv test:
-----------------------------------------------
N = 10, n = 33554432, r = 0, s = 30, k = 25
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.32
p-value of test : 0.10
Kolmogorov-Smirnov- statistic = D- : 0.070
p-value of test : 0.87
Anderson-Darling statistic = A2 : 1.45
p-value of test : 0.19
Tests on the sum of all N observations
Standardized normal statistic : -1.40
p-value of test : 0.92
Sample variance : 0.58
p-value of test : 0.81
-----------------------------------------------
CPU time used : 00:00:15.48
Generator state:
I1 = 994533095, I2 = 3335556785
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sspectral_Fourier3 test:
-----------------------------------------------
N = 50000, n = 16384, r = 0, s = 30, k = 14
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.015
p-value of test : 0.14
Kolmogorov-Smirnov- statistic = D- : 0.017
p-value of test : 0.09
Anderson-Darling statistic = A2 : 1.58
p-value of test : 0.16
-----------------------------------------------
CPU time used : 00:00:14.76
Generator state:
I1 = 2315580016, I2 = 2301415168
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sspectral_Fourier3 test:
-----------------------------------------------
N = 50000, n = 16384, r = 20, s = 10, k = 14
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 8.46e-3
p-value of test : 0.55
Kolmogorov-Smirnov- statistic = D- : 0.011
p-value of test : 0.38
Anderson-Darling statistic = A2 : 0.46
p-value of test : 0.78
-----------------------------------------------
CPU time used : 00:00:14.99
Generator state:
I1 = 35149993, I2 = 1865793443
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sstring_LongestHeadRun test:
-----------------------------------------------
N = 1, n = 1000, r = 0, s = 30, L = 10000020
-----------------------------------------------
Number of degrees of freedom : 8
Chi-square statistic : 5.67
p-value of test : 0.68
-----------------------------------------------
Global longest run of 1 : 33.00
p-value of test : 0.44
-----------------------------------------------
CPU time used : 00:01:00.86
Generator state:
I1 = 3364562581, I2 = 2102223292
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sstring_LongestHeadRun test:
-----------------------------------------------
N = 1, n = 300, r = 20, s = 10, L = 10000020
-----------------------------------------------
Number of degrees of freedom : 7
Chi-square statistic : 15.38
p-value of test : 0.03
-----------------------------------------------
Global longest run of 1 : 31.00
p-value of test : 0.50
-----------------------------------------------
CPU time used : 00:00:21.91
Generator state:
I1 = 3911967985, I2 = 2161802499
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sstring_PeriodsInStrings test:
-----------------------------------------------
N = 1, n = 300000000, r = 0, s = 30
-----------------------------------------------
Number of degrees of freedom : 302
Chi-square statistic : 285.83
p-value of test : 0.74
-----------------------------------------------
CPU time used : 00:00:12.11
Generator state:
I1 = 1849283713, I2 = 2687271266
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sstring_PeriodsInStrings test:
-----------------------------------------------
N = 1, n = 300000000, r = 15, s = 15
-----------------------------------------------
Number of degrees of freedom : 56
Chi-square statistic : 56.72
p-value of test : 0.45
-----------------------------------------------
CPU time used : 00:00:09.25
Generator state:
I1 = 3968318783, I2 = 692062456
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sstring_HammingWeight2 test:
-----------------------------------------------
N = 100, n = 100000000, r = 0, s = 30, L = 1000000
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.035
p-value of test : 0.76
Kolmogorov-Smirnov- statistic = D- : 0.055
p-value of test : 0.52
Anderson-Darling statistic = A2 : 0.26
p-value of test : 0.96
Test on the sum of all N observations
Number of degrees of freedom : 10000
Chi-square statistic :10063.06
p-value of test : 0.33
-----------------------------------------------
CPU time used : 00:00:09.97
Generator state:
I1 = 478209933, I2 = 212534856
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sstring_HammingWeight2 test:
-----------------------------------------------
N = 30, n = 100000000, r = 20, s = 10, L = 1000000
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.025
p-value of test : 0.95
Kolmogorov-Smirnov- statistic = D- : 0.25
p-value of test : 0.02
Anderson-Darling statistic = A2 : 2.33
p-value of test : 0.06
Test on the sum of all N observations
Number of degrees of freedom : 3000
Chi-square statistic : 3140.48
p-value of test : 0.04
-----------------------------------------------
CPU time used : 00:00:06.66
Generator state:
I1 = 656743035, I2 = 1308327048
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 500000000, r = 0, s = 30, L = 30
-----------------------------------------------
Normal statistic : 0.82
p-value of test : 0.21
-----------------------------------------------
CPU time used : 00:00:15.78
Generator state:
I1 = 3643298647, I2 = 2529256547
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 50000000, r = 0, s = 30, L = 300
-----------------------------------------------
Normal statistic : -0.43
p-value of test : 0.67
-----------------------------------------------
CPU time used : 00:00:15.43
Generator state:
I1 = 2347879326, I2 = 1578327119
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sstring_HammingCorr test:
-----------------------------------------------
N = 1, n = 10000000, r = 0, s = 30, L = 1200
-----------------------------------------------
Normal statistic : -0.52
p-value of test : 0.70
-----------------------------------------------
CPU time used : 00:00:12.03
Generator state:
I1 = 3488611181, I2 = 2745392627
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 525.96
p-value of test : 0.94
-----------------------------------------------
CPU time used : 00:00:19.59
Generator state:
I1 = 580274063, I2 = 1733066661
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 621.59
p-value of test : 4.7e-3
-----------------------------------------------
CPU time used : 00:00:15.70
Generator state:
I1 = 2542041135, I2 = 457712712
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 4444.24
p-value of test : 2.1e-4 *****
-----------------------------------------------
CPU time used : 00:00:19.34
Generator state:
I1 = 139353873, I2 = 412371828
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 3529.47
p-value of test : 0.74
-----------------------------------------------
CPU time used : 00:00:14.03
Generator state:
I1 = 1705591244, I2 = 1729816141
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 :11494.45
p-value of test : 0.98
-----------------------------------------------
CPU time used : 00:00:25.22
Generator state:
I1 = 1850292883, I2 = 1151872101
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
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 : 7544.52
p-value of test : 0.28
-----------------------------------------------
CPU time used : 00:00:05.43
Generator state:
I1 = 3156246253, I2 = 2437711904
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sstring_Run test:
-----------------------------------------------
N = 1, n = 1000000000, r = 0, s = 30
-----------------------------------------------
Total number of 1 runs: 1000000002
Number of degrees of freedom : 52
Chi2 statistic for number of runs : 77.17
p-value of test : 0.01
-----------------------------------------------
Total number of bits: 4000122390
Normal statistic for number of bits : 1.37
p-value of test : 0.09
-----------------------------------------------
CPU time used : 00:00:20.01
Generator state:
I1 = 549451144, I2 = 3553901668
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sstring_Run test:
-----------------------------------------------
N = 1, n = 1000000000, r = 20, s = 10
-----------------------------------------------
Total number of 1 runs: 1000000001
Number of degrees of freedom : 52
Chi2 statistic for number of runs : 39.80
p-value of test : 0.89
-----------------------------------------------
Total number of bits: 4000002880
Normal statistic for number of bits : 0.032
p-value of test : 0.49
-----------------------------------------------
CPU time used : 00:00:25.53
Generator state:
I1 = 1318987185, I2 = 2782164454
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sstring_AutoCor test:
-----------------------------------------------
N = 10, n = 1000000021, r = 0, s = 30, d = 1
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.080
p-value of test : 0.84
Kolmogorov-Smirnov- statistic = D- : 0.15
p-value of test : 0.57
Anderson-Darling statistic = A2 : 0.31
p-value of test : 0.93
Tests on the sum of all N observations
Standardized normal statistic : 0.49
p-value of test : 0.31
Sample variance : 1.35
p-value of test : 0.20
-----------------------------------------------
CPU time used : 00:00:19.11
Generator state:
I1 = 3351250223, I2 = 1005894808
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sstring_AutoCor test:
-----------------------------------------------
N = 5, n = 1000000001, r = 20, s = 10, d = 1
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.39
p-value of test : 0.17
Kolmogorov-Smirnov- statistic = D- : 0.35
p-value of test : 0.24
Anderson-Darling statistic = A2 : 3.44
p-value of test : 0.02
Tests on the sum of all N observations
Standardized normal statistic : -0.40
p-value of test : 0.65
Sample variance : 5.68
p-value of test : 1.4e-4 *****
-----------------------------------------------
CPU time used : 00:00:24.73
Generator state:
I1 = 3046735092, I2 = 2125647459
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sstring_AutoCor test:
-----------------------------------------------
N = 10, n = 1000000020, r = 0, s = 30, d = 30
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.19
p-value of test : 0.43
Kolmogorov-Smirnov- statistic = D- : 0.13
p-value of test : 0.66
Anderson-Darling statistic = A2 : 0.34
p-value of test : 0.90
Tests on the sum of all N observations
Standardized normal statistic : -0.065
p-value of test : 0.53
Sample variance : 1.35
p-value of test : 0.20
-----------------------------------------------
CPU time used : 00:00:16.85
Generator state:
I1 = 3496277400, I2 = 2028615485
***********************************************************
HOST = eyehawk.station, Darwin
CreateMultiCarry: I1 = 1012585244, I2 = 3297737069
sstring_AutoCor test:
-----------------------------------------------
N = 5, n = 1000000010, r = 20, s = 10, d = 10
-----------------------------------------------
Kolmogorov-Smirnov+ statistic = D+ : 0.029
p-value of test : 0.97
Kolmogorov-Smirnov- statistic = D- : 0.38
p-value of test : 0.18
Anderson-Darling statistic = A2 : 1.11
p-value of test : 0.30
Tests on the sum of all N observations
Standardized normal statistic : 1.40
p-value of test : 0.08
Sample variance : 0.79
p-value of test : 0.53
-----------------------------------------------
CPU time used : 00:00:21.57
Generator state:
I1 = 2260332809, I2 = 3008302195
========= Summary results of Crush =========
Version: TestU01 1.2.3
Generator: CreateMultiCarry
Number of statistics: 144
Total CPU time: 00:33:13.53
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
----------------------------------------------
1 SerialOver, t = 2 eps
2 SerialOver, t = 4 eps
6 CollisionOver, t = 4 2.1e-25
7 CollisionOver, t = 8 7.1e-63
12 BirthdaySpacings, t = 3 1.2e-273
13 BirthdaySpacings, t = 4 8.3e-26
15 BirthdaySpacings, t = 7 eps
16 BirthdaySpacings, t = 8 eps
20 ClosePairs NP, t = 7 4.9e-7
20 ClosePairs mNP, t = 7 1.9e-27
20 ClosePairs mNP1, t = 7 7.1e-30
20 ClosePairs mNP2, t = 7 1.1e-10
20 ClosePairs NJumps, t = 7 3.1e-34
36 Run of U01, r = 15 eps
38 Permutation, r = 15 eps
65 RandomWalk1 H (L = 90) 3.3e-16
65 RandomWalk1 M (L = 90) 1.5e-5
72 LinearComp, r = 29 1 - eps1
87 HammingIndep, L = 300 2.1e-4
----------------------------------------------
All other tests were passed
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment