crush-splitmix32b-rev.txt

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                 Starting Crush
                 Version: TestU01 1.2.3
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***********************************************************
Test smarsa_SerialOver calling smultin_MultinomialOver

***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                    :  00:01:41.07

Generator state:




***********************************************************
Test smarsa_SerialOver calling smultin_MultinomialOver

***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                       :    0.93


-----------------------------------------------
CPU time used                    :  00:01:10.84

Generator state:




***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver

***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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         :      467
p-value of test                       :    0.29

-----------------------------
Total number of cells containing j balls

  j =  0                              :   10995016278227
  j =  1                              :         99999066
  j =  2                              :              467
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:01:09.94

Generator state:




***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver

***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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         :      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                    :  00:01:10.57

Generator state:




***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver

***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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         :      456
p-value of test                       :    0.48

-----------------------------
Total number of cells containing j balls

  j =  0                              :   10995016278216
  j =  1                              :         99999088
  j =  2                              :              456
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:01:39.47

Generator state:




***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver

***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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         :      450
p-value of test                       :    0.58

-----------------------------
Total number of cells containing j balls

  j =  0                              :   10995016278210
  j =  1                              :         99999100
  j =  2                              :              450
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:01:40.96

Generator state:




***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver

***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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         :      415
p-value of test                       :    0.97

-----------------------------
Total number of cells containing j balls

  j =  0                              :   10995016278175
  j =  1                              :         99999170
  j =  2                              :              415
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:01:43.98

Generator state:




***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver

***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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         :      435
p-value of test                       :    0.82

-----------------------------
Total number of cells containing j balls

  j =  0                              :   10995016278195
  j =  1                              :         99999130
  j =  2                              :              435
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:01:45.62

Generator state:




***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver

***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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         :      412
p-value of test                       :    0.98

-----------------------------
Total number of cells containing j balls

  j =  0                              :   10995016278172
  j =  1                              :         99999176
  j =  2                              :              412
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:01:42.71

Generator state:




***********************************************************
Test smarsa_CollisionOver calling smultin_MultinomialOver

***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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         :      419
p-value of test                       :    0.95

-----------------------------
Total number of cells containing j balls

  j =  0                              :   10995016278179
  j =  1                              :         99999162
  j =  2                              :              419
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:01:34.14

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                 :    2147
p-value of test                       :    0.67


-----------------------------------------------
CPU time used                    :  00:00:35.25

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                 :    1021
p-value of test                       :    0.97


-----------------------------------------------
CPU time used                    :  00:00:37.26

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                 :     552
p-value of test                       :    0.34


-----------------------------------------------
CPU time used                    :  00:00:47.70

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                 :     623
p-value of test                       :    0.86


-----------------------------------------------
CPU time used                    :  00:00:31.51

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                 :     617
p-value of test                       :    0.90


-----------------------------------------------
CPU time used                    :  00:00:28.26

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                 :     341
p-value of test                       :    0.20


-----------------------------------------------
CPU time used                    :  00:00:29.86

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                 :     333
p-value of test                       :    0.34


-----------------------------------------------
CPU time used                    :  00:00:33.75

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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)         :    0.87
p-value of test                       :    0.43


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)    :    0.49
p-value of test                       :    0.75

Test on the Nm values of W_{n,i}(mNP1):    0.35
p-value of test                       :    0.89

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)                       :    1.18
p-value of test                       :    0.28

-----------------------------------------------
CPU time used                    :  00:00:17.45

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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)         :    0.38
p-value of test                       :    0.87


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)    :    0.61
p-value of test                       :    0.63

Test on the Nm values of W_{n,i}(mNP1):    0.49
p-value of test                       :    0.76

Test on the jump times of Y
   (superposition of Yn):

Expected number of jumps of Y = mN    :     300
Number of jumps of Y                  :     320
p-value of test                       :    0.13

Stat. AD (mNP2)                       :    0.40
p-value of test                       :    0.84

Stat. AD after spacings (mNP2-S)      :    0.73
p-value of test                       :    0.54

-----------------------------------------------
CPU time used                    :  00:00:24.73

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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)         :    0.97
p-value of test                       :    0.37


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)    :    1.79
p-value of test                       :    0.12

Test on the Nm values of W_{n,i}(mNP1):    0.32
p-value of test                       :    0.93

Test on the jump times of Y
   (superposition of Yn):

Expected number of jumps of Y = mN    :     150
Number of jumps of Y                  :     150
p-value of test                       :    0.51

Stat. AD (mNP2)                       :    0.37
p-value of test                       :    0.87

Stat. AD after spacings (mNP2-S)      :    0.56
p-value of test                       :    0.68

-----------------------------------------------
CPU time used                    :  00:00:42.23

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                    :  00:00:15.19

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


snpair_ClosePairsBitMatch test:
-----------------------------------------------
   N =  2,  n = 4000000,  r =  0,  t = 4


-----------------------------------------------
Max of all bit distances              :   12.00
p-value of test                       :  3.6e-3

-----------------------------------------------
CPU time used                    :  00:00:13.05

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sknuth_SimpPoker test:
-----------------------------------------------
   N =  1,  n = 40000000,  r =  0,   d =   16,   k =   16


-----------------------------------------------
Number of degrees of freedom          :   12
Chi-square statistic                  :    7.11
p-value of test                       :    0.85

-----------------------------------------------
CPU time used                    :  00:00:14.43

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sknuth_SimpPoker test:
-----------------------------------------------
   N =  1,  n = 40000000,  r = 26,   d =   16,   k =   16


-----------------------------------------------
Number of degrees of freedom          :   12
Chi-square statistic                  :   12.83
p-value of test                       :    0.38

-----------------------------------------------
CPU time used                    :  00:00:18.75

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sknuth_SimpPoker test:
-----------------------------------------------
   N =  1,  n = 10000000,  r =  0,   d =   64,   k =   64


-----------------------------------------------
Number of degrees of freedom          :   23
Chi-square statistic                  :   19.57
p-value of test                       :    0.67

-----------------------------------------------
CPU time used                    :  00:00:14.40

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sknuth_SimpPoker test:
-----------------------------------------------
   N =  1,  n = 10000000,  r = 24,   d =   64,   k =   64


-----------------------------------------------
Number of degrees of freedom          :   23
Chi-square statistic                  :   25.80
p-value of test                       :    0.31

-----------------------------------------------
CPU time used                    :  00:00:17.83

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sknuth_CouponCollector test:
-----------------------------------------------
   N =  1,  n = 40000000,  r =  0,   d =    4


-----------------------------------------------
Number of degrees of freedom          :   51
Chi-square statistic                  :   67.39
p-value of test                       :    0.06

-----------------------------------------------
CPU time used                    :  00:00:07.80

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sknuth_CouponCollector test:
-----------------------------------------------
   N =  1,  n = 40000000,  r = 28,   d =    4


-----------------------------------------------
Number of degrees of freedom          :   51
Chi-square statistic                  :   46.75
p-value of test                       :    0.64

-----------------------------------------------
CPU time used                    :  00:00:10.03

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sknuth_CouponCollector test:
-----------------------------------------------
   N =  1,  n = 10000000,  r =  0,   d =   16


-----------------------------------------------
Number of degrees of freedom          :   46
Chi-square statistic                  :   47.90
p-value of test                       :    0.40

-----------------------------------------------
CPU time used                    :  00:00:09.93

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sknuth_CouponCollector test:
-----------------------------------------------
   N =  1,  n = 10000000,  r = 26,   d =   16


-----------------------------------------------
Number of degrees of freedom          :   46
Chi-square statistic                  :   43.40
p-value of test                       :    0.58

-----------------------------------------------
CPU time used                    :  00:00:12.86

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sknuth_Gap test:
-----------------------------------------------
   N =  1,  n = 100000000,  r =  0,   Alpha =        0,   Beta  =    0.125


-----------------------------------------------
Number of degrees of freedom          :  106
Chi-square statistic                  :   78.58
p-value of test                       :    0.98

-----------------------------------------------
CPU time used                    :  00:00:11.49

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sknuth_Gap test:
-----------------------------------------------
   N =  1,  n = 100000000,  r = 27,   Alpha =        0,   Beta  =    0.125


-----------------------------------------------
Number of degrees of freedom          :  106
Chi-square statistic                  :  133.89
p-value of test                       :    0.03

-----------------------------------------------
CPU time used                    :  00:00:15.91

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sknuth_Gap test:
-----------------------------------------------
   N =  1,  n = 5000000,  r =  0,   Alpha =        0,   Beta  = 0.00390625


-----------------------------------------------
Number of degrees of freedom          : 1936
Chi-square statistic                  : 1831.49
p-value of test                       :    0.96

-----------------------------------------------
CPU time used                    :  00:00:15.27

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sknuth_Gap test:
-----------------------------------------------
   N =  1,  n = 5000000,  r = 22,   Alpha =        0,   Beta  = 0.00390625


-----------------------------------------------
Number of degrees of freedom          : 1936
Chi-square statistic                  : 1955.09
p-value of test                       :    0.38

-----------------------------------------------
CPU time used                    :  00:00:21.07

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sknuth_Run test:
-----------------------------------------------
   N =  1,  n = 500000000,  r =  0,   Up =  TRUE


-----------------------------------------------
Number of degrees of freedom          :    6
Chi-square statistic                  :    6.89
p-value of test                       :    0.33

-----------------------------------------------
CPU time used                    :  00:00:08.35

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sknuth_Run test:
-----------------------------------------------
   N =  1,  n = 500000000,  r = 15,   Up = FALSE


-----------------------------------------------
Number of degrees of freedom          :    6
Chi-square statistic                  :    4.28
p-value of test                       :    0.64

-----------------------------------------------
CPU time used                    :  00:00:11.85

Generator state:




***********************************************************
Test sknuth_Permutation calling smultin_Multinomial

***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                       :    0.46


-----------------------------------------------
CPU time used                    :  00:00:26.14

Generator state:




***********************************************************
Test sknuth_Permutation calling smultin_Multinomial

***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                       :    0.25


-----------------------------------------------
CPU time used                    :  00:00:27.45

Generator state:




***********************************************************
Test sknuth_CollisionPermut calling smultin_Multinomial

***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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         :    40062
p-value of test                       :    0.62


-----------------------------
Total number of cells containing j balls

  j =  0                              :      31085144062
  j =  1                              :         49919898
  j =  2                              :            40018
  j =  3                              :               22
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:00:48.04

Generator state:




***********************************************************
Test sknuth_CollisionPermut calling smultin_Multinomial

***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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         :    40117
p-value of test                       :    0.52


-----------------------------
Total number of cells containing j balls

  j =  0                              :      31085144117
  j =  1                              :         49919789
  j =  2                              :            40071
  j =  3                              :               23
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:00:50.19

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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+    :    0.69
p-value of test                       :  1.7e-5    *****

Kolmogorov-Smirnov- statistic = D-    : 3.26e-3
p-value of test                       :    0.9966

Anderson-Darling statistic = A2       :   10.74
p-value of test                       :  6.5e-6    *****

Test on the sum of all N observations
Number of degrees of freedom          : 999990
Chi-square statistic                  : 9.94e+5
p-value of test                       : 1 -  5.7e-6    *****


-----------------------------------------------
Test results for Anderson-Darling:

Kolmogorov-Smirnov+ statistic = D+    :    0.25
p-value of test                       :    0.25

Kolmogorov-Smirnov- statistic = D-    :   0.097
p-value of test                       :    0.78

Anderson-Darling statistic = A2       :    0.95
p-value of test                       :    0.38


-----------------------------------------------
CPU time used                    :  00:00:41.07

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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+    :    0.79
p-value of test                       :  3.6e-4    *****

Kolmogorov-Smirnov- statistic = D-    : 2.35e-5
p-value of test                       : 1 -  2.3e-5    *****

Anderson-Darling statistic = A2       :   20.30
p-value of test                       : 3.3e-10    *****

Test on the sum of all N observations
Number of degrees of freedom          : 499995
Chi-square statistic                  : 4.94e+5
p-value of test                       : 1 - 1.7e-10    *****


-----------------------------------------------
Test results for Anderson-Darling:

Kolmogorov-Smirnov+ statistic = D+    :    0.30
p-value of test                       :    0.33

Kolmogorov-Smirnov- statistic = D-    :    0.24
p-value of test                       :    0.49

Anderson-Darling statistic = A2       :    0.57
p-value of test                       :    0.67


-----------------------------------------------
CPU time used                    :  00:00:24.39

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                  :97391.50
p-value of test                       : 1 -  2.0e-9    *****


-----------------------------------------------
Anderson-Darling statistic            :    0.95
p-value of test                       :    0.05


-----------------------------------------------
CPU time used                    :  00:00:06.00

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                  :96770.04
p-value of test                       : 1 - 1.5e-13    *****


-----------------------------------------------
Anderson-Darling statistic            :    0.58
p-value of test                       :    0.42


-----------------------------------------------
CPU time used                    :  00:00:07.23

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


svaria_SampleProd test:
-----------------------------------------------
   N =  1,  n = 10000000,  r =  0,   t = 10


-----------------------------------------------
Anderson-Darling statistic            :    0.21
p-value of test                       :    0.79

-----------------------------------------------
CPU time used                    :  00:00:03.48

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


svaria_SampleProd test:
-----------------------------------------------
   N =  1,  n = 10000000,  r =  0,   t = 30


-----------------------------------------------
Anderson-Darling statistic            :    0.93
p-value of test                       :    0.07

-----------------------------------------------
CPU time used                    :  00:00:06.40

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


svaria_SampleMean test:
-----------------------------------------------
   N = 10000000,  n = 20,  r =  0


-----------------------------------------------

Kolmogorov-Smirnov+ statistic = D+    : 2.21e-4
p-value of test                       :    0.38

Kolmogorov-Smirnov- statistic = D-    : 3.33e-4
p-value of test                       :    0.11

Anderson-Darling statistic = A2       :    1.44
p-value of test                       :    0.19

-----------------------------------------------
CPU time used                    :  00:00:07.84

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


svaria_SampleCorr test:
-----------------------------------------------
   N =  1,  n = 500000000,  r =  0,   k = 1


-----------------------------------------------
Normal statistic                      :    0.34
p-value of test                       :    0.37

-----------------------------------------------
CPU time used                    :  00:00:07.56

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                      :    1.08
p-value of test                       :    0.14

-----------------------------------------------
CPU time used                    :  00:00:20.52

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                      :   -0.12
p-value of test                       :    0.55

-----------------------------------------------
CPU time used                    :  00:00:07.01

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                  :   33.13
p-value of test                       :    0.92

-----------------------------------------------
CPU time used                    :  00:00:06.34

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                  :   41.01
p-value of test                       :    0.68

-----------------------------------------------
CPU time used                    :  00:00:09.03

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                  :   35.31
p-value of test                       :    0.87

-----------------------------------------------
CPU time used                    :  00:00:09.05

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                  :   53.43
p-value of test                       :    0.21

-----------------------------------------------
CPU time used                    :  00:00:09.03

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


svaria_SumCollector test:
-----------------------------------------------
   N =  1,  n = 20000000,  r =  0,   g = 10


-----------------------------------------------
Number of degrees of freedom          :   25
Chi-square statistic                  :   31.09
p-value of test                       :    0.19

-----------------------------------------------
CPU time used                    :  00:00:05.25

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


smarsa_MatrixRank test:
-----------------------------------------------
   N =  1,  n = 1000000,  r =  0,    s = 30,    L = 60,    k = 60


-----------------------------------------------
Number of degrees of freedom          :    4
Chi-square statistic                  :    0.66
p-value of test                       :    0.96

-----------------------------------------------
CPU time used                    :  00:00:28.64

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


smarsa_MatrixRank test:
-----------------------------------------------
   N =  1,  n = 1000000,  r = 20,    s = 10,    L = 60,    k = 60


-----------------------------------------------
Number of degrees of freedom          :    4
Chi-square statistic                  :    5.88
p-value of test                       :    0.21

-----------------------------------------------
CPU time used                    :  00:00:33.68

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


smarsa_MatrixRank test:
-----------------------------------------------
   N =  1,  n = 50000,  r =  0,    s = 30,    L = 300,    k = 300


-----------------------------------------------
Number of degrees of freedom          :    3
Chi-square statistic                  :    2.66
p-value of test                       :    0.45

-----------------------------------------------
CPU time used                    :  00:00:50.32

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


smarsa_MatrixRank test:
-----------------------------------------------
   N =  1,  n = 50000,  r = 20,    s = 10,    L = 300,    k = 300


-----------------------------------------------
Number of degrees of freedom          :    3
Chi-square statistic                  :    7.97
p-value of test                       :    0.05

-----------------------------------------------
CPU time used                    :  00:01:03.84

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


smarsa_MatrixRank test:
-----------------------------------------------
   N =  1,  n = 2000,  r =  0,    s = 30,    L = 1200,    k = 1200


-----------------------------------------------
Number of degrees of freedom          :    3
Chi-square statistic                  :    0.39
p-value of test                       :    0.94

-----------------------------------------------
CPU time used                    :  00:01:08.55

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


smarsa_MatrixRank test:
-----------------------------------------------
   N =  1,  n = 2000,  r = 20,    s = 10,    L = 1200,    k = 1200


-----------------------------------------------
Number of degrees of freedom          :    3
Chi-square statistic                  :    1.69
p-value of test                       :    0.64

-----------------------------------------------
CPU time used                    :  00:01:30.26

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


smarsa_Savir2 test:
-----------------------------------------------
   N =  1,  n = 20000000,  r =  0,    m = 1048576,    t = 30


-----------------------------------------------
Number of degrees of freedom          :   17
Chi-square statistic                  :   10.53
p-value of test                       :    0.88

-----------------------------------------------
CPU time used                    :  00:00:07.48

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


smarsa_GCD test:
-----------------------------------------------
   N =  1,  n = 100000000,  r =  0,   s = 30


-----------------------------------------------
Number of degrees of freedom          : 2465
Chi2 statistic for GCD values         : 2412.99
p-value of test                       :    0.77



-----------------------------------------------
CPU time used                    :  00:00:28.67

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


smarsa_GCD test:
-----------------------------------------------
   N =  1,  n = 40000000,  r = 10,   s = 20


-----------------------------------------------
Number of degrees of freedom          : 1559
Chi2 statistic for GCD values         : 1576.81
p-value of test                       :    0.37



-----------------------------------------------
CPU time used                    :  00:00:08.19

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                   :   37.37
p-value of test                       :    0.81


-----------------------------------------------
Test on the values of the Statistic M

Number of degrees of freedom          :   47
ChiSquare statistic                   :   50.92
p-value of test                       :    0.32


-----------------------------------------------
Test on the values of the Statistic J

Number of degrees of freedom          :   45
ChiSquare statistic                   :   31.16
p-value of test                       :    0.94


-----------------------------------------------
Test on the values of the Statistic R

Number of degrees of freedom          :   36
ChiSquare statistic                   :   34.43
p-value of test                       :    0.54


-----------------------------------------------
Test on the values of the Statistic C

Number of degrees of freedom          :   23
ChiSquare statistic                   :   20.56
p-value of test                       :    0.61


-----------------------------------------------
CPU time used                    :  00:00:38.80

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                   :   34.27
p-value of test                       :    0.85


-----------------------------------------------
Test on the values of the Statistic M

Number of degrees of freedom          :   45
ChiSquare statistic                   :   31.05
p-value of test                       :    0.94


-----------------------------------------------
Test on the values of the Statistic J

Number of degrees of freedom          :   45
ChiSquare statistic                   :   48.63
p-value of test                       :    0.33


-----------------------------------------------
Test on the values of the Statistic R

Number of degrees of freedom          :   35
ChiSquare statistic                   :   38.80
p-value of test                       :    0.30


-----------------------------------------------
Test on the values of the Statistic C

Number of degrees of freedom          :   22
ChiSquare statistic                   :   28.34
p-value of test                       :    0.16


-----------------------------------------------
CPU time used                    :  00:00:09.03

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                   :  134.95
p-value of test                       :    0.60


-----------------------------------------------
Test on the values of the Statistic M

Number of degrees of freedom          :  141
ChiSquare statistic                   :  160.95
p-value of test                       :    0.12


-----------------------------------------------
Test on the values of the Statistic J

Number of degrees of freedom          :  500
ChiSquare statistic                   :  481.26
p-value of test                       :    0.72


-----------------------------------------------
Test on the values of the Statistic R

Number of degrees of freedom          :  132
ChiSquare statistic                   :  149.76
p-value of test                       :    0.14


-----------------------------------------------
Test on the values of the Statistic C

Number of degrees of freedom          :   72
ChiSquare statistic                   :   56.17
p-value of test                       :    0.92


-----------------------------------------------
CPU time used                    :  00:00:36.32

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                   :  153.96
p-value of test                       :    0.06


-----------------------------------------------
Test on the values of the Statistic M

Number of degrees of freedom          :  130
ChiSquare statistic                   :  136.69
p-value of test                       :    0.33


-----------------------------------------------
Test on the values of the Statistic J

Number of degrees of freedom          :  500
ChiSquare statistic                   :  501.42
p-value of test                       :    0.47


-----------------------------------------------
Test on the values of the Statistic R

Number of degrees of freedom          :  122
ChiSquare statistic                   :  126.15
p-value of test                       :    0.38


-----------------------------------------------
Test on the values of the Statistic C

Number of degrees of freedom          :   66
ChiSquare statistic                   :   78.60
p-value of test                       :    0.14


-----------------------------------------------
CPU time used                    :  00:00:07.23

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                   :  405.97
p-value of test                       :    0.07


-----------------------------------------------
Test on the values of the Statistic M

Number of degrees of freedom          :  366
ChiSquare statistic                   :  384.00
p-value of test                       :    0.25


-----------------------------------------------
Test on the values of the Statistic J

Number of degrees of freedom          : 5000
ChiSquare statistic                   : 5053.76
p-value of test                       :    0.29


-----------------------------------------------
Test on the values of the Statistic R

Number of degrees of freedom          :  360
ChiSquare statistic                   :  357.80
p-value of test                       :    0.52


-----------------------------------------------
Test on the values of the Statistic C

Number of degrees of freedom          :  192
ChiSquare statistic                   :  199.55
p-value of test                       :    0.34


-----------------------------------------------
CPU time used                    :  00:00:32.76

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                   :  375.25
p-value of test                       :    0.01


-----------------------------------------------
Test on the values of the Statistic M

Number of degrees of freedom          :  318
ChiSquare statistic                   :  313.86
p-value of test                       :    0.56


-----------------------------------------------
Test on the values of the Statistic J

Number of degrees of freedom          : 5000
ChiSquare statistic                   : 5142.57
p-value of test                       :    0.08


-----------------------------------------------
Test on the values of the Statistic R

Number of degrees of freedom          :  315
ChiSquare statistic                   :  301.40
p-value of test                       :    0.70


-----------------------------------------------
Test on the values of the Statistic C

Number of degrees of freedom          :  169
ChiSquare statistic                   :  140.70
p-value of test                       :    0.94


-----------------------------------------------
CPU time used                    :  00:00:07.76

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


scomp_LinearComp test:
-----------------------------------------------
   N =  1,  n = 120000,  r =  0,    s = 1



-----------------------------------------------
Number of degrees of freedom          :   10
Chi2 statistic for size of jumps      :   12.93
p-value of test                       :    0.23


-----------------------------------------------
Normal statistic for number of jumps  :   -1.22
p-value of test                       :    0.89



-----------------------------------------------
CPU time used                    :  00:00:19.25

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


scomp_LinearComp test:
-----------------------------------------------
   N =  1,  n = 120000,  r = 29,    s = 1



-----------------------------------------------
Number of degrees of freedom          :   10
Chi2 statistic for size of jumps      :   14.79
p-value of test                       :    0.14


-----------------------------------------------
Normal statistic for number of jumps  :   -0.66
p-value of test                       :    0.75



-----------------------------------------------
CPU time used                    :  00:00:19.09

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


scomp_LempelZiv test:
-----------------------------------------------
   N = 10,  n = 33554432,  r =  0,   s =   30,   k =   25


-----------------------------------------------

Kolmogorov-Smirnov+ statistic = D+    :    0.35
p-value of test                       :    0.06

Kolmogorov-Smirnov- statistic = D-    :    0.19
p-value of test                       :    0.45

Anderson-Darling statistic = A2       :    1.46
p-value of test                       :    0.19

Tests on the sum of all N observations
Standardized normal statistic         :   -0.99
p-value of test                       :    0.84

Sample variance                       :    0.36
p-value of test                       :    0.96

-----------------------------------------------
CPU time used                    :  00:00:25.26

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sspectral_Fourier3 test:
-----------------------------------------------
   N = 50000,  n = 16384,  r =  0,   s =   30,   k =   14


-----------------------------------------------

Kolmogorov-Smirnov+ statistic = D+    :   0.011
p-value of test                       :    0.39

Kolmogorov-Smirnov- statistic = D-    : 9.25e-3
p-value of test                       :    0.49

Anderson-Darling statistic = A2       :    0.67
p-value of test                       :    0.58

-----------------------------------------------
CPU time used                    :  00:00:22.90

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sspectral_Fourier3 test:
-----------------------------------------------
   N = 50000,  n = 16384,  r = 20,   s =   10,   k =   14


-----------------------------------------------

Kolmogorov-Smirnov+ statistic = D+    : 6.05e-3
p-value of test                       :    0.74

Kolmogorov-Smirnov- statistic = D-    : 9.55e-3
p-value of test                       :    0.47

Anderson-Darling statistic = A2       :    0.35
p-value of test                       :    0.89

-----------------------------------------------
CPU time used                    :  00:00:23.30

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sstring_LongestHeadRun test:
-----------------------------------------------
   N =  1,  n = 1000,  r =  0,   s = 30,   L = 10000020


-----------------------------------------------
Number of degrees of freedom          :    8
Chi-square statistic                  :    2.71
p-value of test                       :    0.95

-----------------------------------------------
Global longest run of 1               :   32.00
p-value of test                       :    0.50



-----------------------------------------------
CPU time used                    :  00:01:18.73

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sstring_LongestHeadRun test:
-----------------------------------------------
   N =  1,  n = 300,  r = 20,   s = 10,   L = 10000020


-----------------------------------------------
Number of degrees of freedom          :    7
Chi-square statistic                  :    9.79
p-value of test                       :    0.20

-----------------------------------------------
Global longest run of 1               :   30.00
p-value of test                       :    0.50



-----------------------------------------------
CPU time used                    :  00:00:29.01

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sstring_PeriodsInStrings test:
-----------------------------------------------
   N =  1,  n = 300000000,  r =  0,   s =   30


-----------------------------------------------
Number of degrees of freedom          :  302
Chi-square statistic                  :  332.33
p-value of test                       :    0.11

-----------------------------------------------
CPU time used                    :  00:00:22.61

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sstring_PeriodsInStrings test:
-----------------------------------------------
   N =  1,  n = 300000000,  r = 15,   s =   15


-----------------------------------------------
Number of degrees of freedom          :   56
Chi-square statistic                  :   43.44
p-value of test                       :    0.89

-----------------------------------------------
CPU time used                    :  00:00:14.61

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sstring_HammingWeight2 test:
-----------------------------------------------
   N = 100,  n = 100000000,  r =  0,   s = 30,   L = 1000000


-----------------------------------------------

Kolmogorov-Smirnov+ statistic = D+    :   0.066
p-value of test                       :    0.40

Kolmogorov-Smirnov- statistic = D-    :   0.039
p-value of test                       :    0.72

Anderson-Darling statistic = A2       :    0.43
p-value of test                       :    0.82

Test on the sum of all N observations
Number of degrees of freedom          : 10000
Chi-square statistic                  : 9944.78
p-value of test                       :    0.65

-----------------------------------------------
CPU time used                    :  00:00:11.73

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sstring_HammingWeight2 test:
-----------------------------------------------
   N = 30,  n = 100000000,  r = 20,   s = 10,   L = 1000000


-----------------------------------------------

Kolmogorov-Smirnov+ statistic = D+    :    0.22
p-value of test                       :    0.04

Kolmogorov-Smirnov- statistic = D-    :   0.082
p-value of test                       :    0.63

Anderson-Darling statistic = A2       :    1.31
p-value of test                       :    0.23

Test on the sum of all N observations
Number of degrees of freedom          : 3000
Chi-square statistic                  : 2967.57
p-value of test                       :    0.66

-----------------------------------------------
CPU time used                    :  00:00:07.73

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sstring_HammingCorr test:
-----------------------------------------------
   N =  1,  n = 500000000,  r =  0,   s = 30,   L = 30



-----------------------------------------------
Normal statistic                      :   -0.60
p-value of test                       :    0.73

-----------------------------------------------
CPU time used                    :  00:00:20.44

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sstring_HammingCorr test:
-----------------------------------------------
   N =  1,  n = 50000000,  r =  0,   s = 30,   L = 300



-----------------------------------------------
Normal statistic                      :   -0.72
p-value of test                       :    0.77

-----------------------------------------------
CPU time used                    :  00:00:19.26

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sstring_HammingCorr test:
-----------------------------------------------
   N =  1,  n = 10000000,  r =  0,   s = 30,   L = 1200



-----------------------------------------------
Normal statistic                      :    0.17
p-value of test                       :    0.43

-----------------------------------------------
CPU time used                    :  00:00:15.73

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                  :  559.15
p-value of test                       :    0.70

-----------------------------------------------
CPU time used                    :  00:00:24.13

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                  :  537.19
p-value of test                       :    0.44

-----------------------------------------------
CPU time used                    :  00:00:17.90

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                  : 4087.62
p-value of test                       :    0.62

-----------------------------------------------
CPU time used                    :  00:00:23.05

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                  : 3454.21
p-value of test                       :    0.94

-----------------------------------------------
CPU time used                    :  00:00:15.94

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                  :11693.54
p-value of test                       :    0.80

-----------------------------------------------
CPU time used                    :  00:00:31.32

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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                  : 7427.42
p-value of test                       :    0.64

-----------------------------------------------
CPU time used                    :  00:00:06.15

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sstring_Run test:
-----------------------------------------------
   N =  1,  n = 1000000000,  r =  0,   s =   30


-----------------------------------------------
Total number of 1 runs:  1000000007

Number of degrees of freedom          :   52
Chi2 statistic for number of runs     :   57.95
p-value of test                       :    0.27


-----------------------------------------------
Total number of bits:  3999963870

Normal statistic for number of bits   :   -0.40
p-value of test                       :    0.66



-----------------------------------------------
CPU time used                    :  00:00:28.05

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


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     :   54.28
p-value of test                       :    0.39


-----------------------------------------------
Total number of bits:  3999974050

Normal statistic for number of bits   :   -0.29
p-value of test                       :    0.61



-----------------------------------------------
CPU time used                    :  00:00:39.69

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sstring_AutoCor test:
-----------------------------------------------
   N = 10,  n = 1000000021,  r =  0,   s = 30,   d = 1


-----------------------------------------------

Kolmogorov-Smirnov+ statistic = D+    :    0.15
p-value of test                       :    0.58

Kolmogorov-Smirnov- statistic = D-    :    0.19
p-value of test                       :    0.43

Anderson-Darling statistic = A2       :    0.49
p-value of test                       :    0.75

Tests on the sum of all N observations
Standardized normal statistic         :   0.074
p-value of test                       :    0.47

Sample variance                       :    0.80
p-value of test                       :    0.62

-----------------------------------------------
CPU time used                    :  00:00:28.63

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sstring_AutoCor test:
-----------------------------------------------
   N =  5,  n = 1000000001,  r = 20,   s = 10,   d = 1


-----------------------------------------------

Kolmogorov-Smirnov+ statistic = D+    :    0.33
p-value of test                       :    0.28

Kolmogorov-Smirnov- statistic = D-    :    0.19
p-value of test                       :    0.63

Anderson-Darling statistic = A2       :    0.90
p-value of test                       :    0.41

Tests on the sum of all N observations
Standardized normal statistic         :   -0.46
p-value of test                       :    0.68

Sample variance                       :    2.61
p-value of test                       :    0.03

-----------------------------------------------
CPU time used                    :  00:00:34.48

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sstring_AutoCor test:
-----------------------------------------------
   N = 10,  n = 1000000020,  r =  0,   s = 30,   d = 30


-----------------------------------------------

Kolmogorov-Smirnov+ statistic = D+    :    0.11
p-value of test                       :    0.74

Kolmogorov-Smirnov- statistic = D-    :    0.19
p-value of test                       :    0.43

Anderson-Darling statistic = A2       :    0.44
p-value of test                       :    0.81

Tests on the sum of all N observations
Standardized normal statistic         : -7.66e-3
p-value of test                       :    0.50

Sample variance                       :    1.19
p-value of test                       :    0.29

-----------------------------------------------
CPU time used                    :  00:00:24.26

Generator state:




***********************************************************
HOST = fluffc-al, Linux

32-bit stdin


sstring_AutoCor test:
-----------------------------------------------
   N =  5,  n = 1000000010,  r = 20,   s = 10,   d = 10


-----------------------------------------------

Kolmogorov-Smirnov+ statistic = D+    :    0.37
p-value of test                       :    0.19

Kolmogorov-Smirnov- statistic = D-    :    0.13
p-value of test                       :    0.79

Anderson-Darling statistic = A2       :    0.68
p-value of test                       :    0.57

Tests on the sum of all N observations
Standardized normal statistic         :   -0.69
p-value of test                       :    0.75

Sample variance                       :    0.80
p-value of test                       :    0.53

-----------------------------------------------
CPU time used                    :  00:00:31.36

Generator state:





========= Summary results of Crush =========

 Version:          TestU01 1.2.3
 Generator:        32-bit stdin
 Number of statistics:  144
 Total CPU time:   00:48:56.73
 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
 ----------------------------------------------
 41  MaxOft, t = 5                  1 -  5.7e-6
 42  MaxOft, t = 10                 1 - 1.7e-10
 43  MaxOft, t = 20                 1 -  2.0e-9
 44  MaxOft, t = 30                 1 - 1.5e-13
 ----------------------------------------------
 All other tests were passed



Total processed 32-bit samples = 33842447794