crush-mulberry32.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                       :    0.26


-----------------------------------------------
CPU time used                    :  00:01:34.45

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                       :    0.03


-----------------------------------------------
CPU time used                    :  00:00:54.63

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         :      430
p-value of test                       :    0.87

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

  j =  0                              :   10995016278190
  j =  1                              :         99999140
  j =  2                              :              430
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:01:00.58

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         :      466
p-value of test                       :    0.30

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

  j =  0                              :   10995016278226
  j =  1                              :         99999068
  j =  2                              :              466
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:01:13.01

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         :      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                    :  00:01:35.62

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         :      442
p-value of test                       :    0.72

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

  j =  0                              :   10995016278202
  j =  1                              :         99999116
  j =  2                              :              442
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:01:24.10

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         :      454
p-value of test                       :    0.50

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

  j =  0                              :   10995016278214
  j =  1                              :         99999092
  j =  2                              :              454
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:01:26.14

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         :      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                    :  00:01:28.67

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         :      433
p-value of test                       :    0.84

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

  j =  0                              :   10995016278193
  j =  1                              :         99999134
  j =  2                              :              433
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:01:25.00

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         :      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                    :  00:01:23.32

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                 :    2160
p-value of test                       :    0.57


-----------------------------------------------
CPU time used                    :  00:00:34.72

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                 :    1035
p-value of test                       :    0.93


-----------------------------------------------
CPU time used                    :  00:00:35.72

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                 :     527
p-value of test                       :    0.73


-----------------------------------------------
CPU time used                    :  00:00:36.58

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                 :     635
p-value of test                       :    0.72


-----------------------------------------------
CPU time used                    :  00:00:23.70

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                 :     663
p-value of test                       :    0.32


-----------------------------------------------
CPU time used                    :  00:00:25.03

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                 :     323
p-value of test                       :    0.54


-----------------------------------------------
CPU time used                    :  00:00:26.33

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                 :     309
p-value of test                       :    0.81


-----------------------------------------------
CPU time used                    :  00:00:26.51

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)         :    2.21
p-value of test                       :    0.07


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)    :    0.76
p-value of test                       :    0.51

Test on the Nm values of W_{n,i}(mNP1):    3.01
p-value of test                       :    0.03

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

Expected number of jumps of Y = mN    :     300
Number of jumps of Y                  :     331
p-value of test                       :    0.04

Stat. AD (mNP2)                       :    2.34
p-value of test                       :    0.06

-----------------------------------------------
CPU time used                    :  00:00:17.79

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)         :    0.60
p-value of test                       :    0.64


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)    :    0.91
p-value of test                       :    0.41

Test on the Nm values of W_{n,i}(mNP1):    0.31
p-value of test                       :    0.93

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

Expected number of jumps of Y = mN    :     300
Number of jumps of Y                  :     306
p-value of test                       :    0.37

Stat. AD (mNP2)                       :    0.47
p-value of test                       :    0.78

Stat. AD after spacings (mNP2-S)      :    2.04
p-value of test                       :    0.09

-----------------------------------------------
CPU time used                    :  00:00:24.64

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)         :    1.22
p-value of test                       :    0.26


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)    :    0.30
p-value of test                       :    0.94

Test on the Nm values of W_{n,i}(mNP1):    0.45
p-value of test                       :    0.80

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

Expected number of jumps of Y = mN    :     150
Number of jumps of Y                  :     143
p-value of test                       :    0.70

Stat. AD (mNP2)                       :    0.47
p-value of test                       :    0.78

Stat. AD after spacings (mNP2-S)      :    1.16
p-value of test                       :    0.28

-----------------------------------------------
CPU time used                    :  00:00:40.53

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                    :  00:00:18.11

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              :   10.00
p-value of test                       :    0.60

-----------------------------------------------
CPU time used                    :  00:00:15.99

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                  :   11.77
p-value of test                       :    0.46

-----------------------------------------------
CPU time used                    :  00:00:12.55

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                  :   11.64
p-value of test                       :    0.48

-----------------------------------------------
CPU time used                    :  00:00:15.93

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                  :   20.13
p-value of test                       :    0.63

-----------------------------------------------
CPU time used                    :  00:00:11.61

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                  :   21.00
p-value of test                       :    0.58

-----------------------------------------------
CPU time used                    :  00:00:15.11

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                  :   43.50
p-value of test                       :    0.76

-----------------------------------------------
CPU time used                    :  00:00:06.43

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                  :   67.39
p-value of test                       :    0.06

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

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                  :   54.64
p-value of test                       :    0.18

-----------------------------------------------
CPU time used                    :  00:00:08.15

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                  :   62.65
p-value of test                       :    0.05

-----------------------------------------------
CPU time used                    :  00:00:10.66

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                  :   99.29
p-value of test                       :    0.66

-----------------------------------------------
CPU time used                    :  00:00:08.07

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                  :  106.27
p-value of test                       :    0.47

-----------------------------------------------
CPU time used                    :  00:00:12.08

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                  : 1976.86
p-value of test                       :    0.25

-----------------------------------------------
CPU time used                    :  00:00:10.02

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                  : 2011.58
p-value of test                       :    0.11

-----------------------------------------------
CPU time used                    :  00:00:16.38

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                  :   13.56
p-value of test                       :    0.03

-----------------------------------------------
CPU time used                    :  00:00:06.46

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                  :    2.73
p-value of test                       :    0.84

-----------------------------------------------
CPU time used                    :  00:00:09.57

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                       :    0.26


-----------------------------------------------
CPU time used                    :  00:00:23.23

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                       :    0.49


-----------------------------------------------
CPU time used                    :  00:00:24.66

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         :    40209
p-value of test                       :    0.34


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

  j =  0                              :      31085144209
  j =  1                              :         49919605
  j =  2                              :            40163
  j =  3                              :               23
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:00:44.78

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         :    39985
p-value of test                       :    0.76


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

  j =  0                              :      31085143985
  j =  1                              :         49920052
  j =  2                              :            39941
  j =  3                              :               22
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:00:47.80

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+    : 1.02e-3
p-value of test                       :    0.9990

Kolmogorov-Smirnov- statistic = D-    :    0.85
p-value of test                       :  7.7e-9    *****

Anderson-Darling statistic = A2       :   23.48
p-value of test                       : 1.3e-11    *****

Test on the sum of all N observations
Number of degrees of freedom          : 999990
Chi-square statistic                  : 1.01e+6
p-value of test                       : 7.2e-11    *****


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

Kolmogorov-Smirnov+ statistic = D+    :    0.21
p-value of test                       :    0.36

Kolmogorov-Smirnov- statistic = D-    :   0.017
p-value of test                       :    0.98

Anderson-Darling statistic = A2       :    0.97
p-value of test                       :    0.37


-----------------------------------------------
CPU time used                    :  00:00:38.33

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+    : 3.58e-8
p-value of test                       : 1 -  3.6e-8    *****

Kolmogorov-Smirnov- statistic = D-    :    0.99
p-value of test                       : 2.1e-11    *****

Anderson-Darling statistic = A2       :   31.89
p-value of test                       : 2.4e-15    *****

Test on the sum of all N observations
Number of degrees of freedom          : 499995
Chi-square statistic                  : 5.08e+5
p-value of test                       : 2.7e-17    *****


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

Kolmogorov-Smirnov+ statistic = D+    :    0.22
p-value of test                       :    0.53

Kolmogorov-Smirnov- statistic = D-    :    0.29
p-value of test                       :    0.36

Anderson-Darling statistic = A2       :    0.52
p-value of test                       :    0.71


-----------------------------------------------
CPU time used                    :  00:00:21.82

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                  : 1.03e+5
p-value of test                       : 1.4e-12    *****


-----------------------------------------------
Anderson-Darling statistic            :    0.54
p-value of test                       :    0.46


-----------------------------------------------
CPU time used                    :  00:00:05.23

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                  : 1.04e+5
p-value of test                       : 1.1e-16    *****


-----------------------------------------------
Anderson-Darling statistic            :    0.34
p-value of test                       :    0.66


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

Generator state:




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

32-bit stdin


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


-----------------------------------------------
Anderson-Darling statistic            :   0.065
p-value of test                       :    0.93

-----------------------------------------------
CPU time used                    :  00:00:03.16

Generator state:




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

32-bit stdin


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


-----------------------------------------------
Anderson-Darling statistic            : 1.01e-4
p-value of test                       :    0.9999    *****

-----------------------------------------------
CPU time used                    :  00:00:05.35

Generator state:




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

32-bit stdin


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


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

Kolmogorov-Smirnov+ statistic = D+    : 3.10e-4
p-value of test                       :    0.15

Kolmogorov-Smirnov- statistic = D-    : 1.35e-4
p-value of test                       :    0.69

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

-----------------------------------------------
CPU time used                    :  00:00:07.40

Generator state:




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

32-bit stdin


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


-----------------------------------------------
Normal statistic                      :   -2.75
p-value of test                       :    0.9970

-----------------------------------------------
CPU time used                    :  00:00:06.11

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                      :   -1.97
p-value of test                       :    0.98

-----------------------------------------------
CPU time used                    :  00:00:18.71

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                      :    0.33
p-value of test                       :    0.37

-----------------------------------------------
CPU time used                    :  00:00:05.58

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                  :   44.93
p-value of test                       :    0.52

-----------------------------------------------
CPU time used                    :  00:00:04.26

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                  :   52.35
p-value of test                       :    0.24

-----------------------------------------------
CPU time used                    :  00:00:06.56

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                  :   50.03
p-value of test                       :    0.32

-----------------------------------------------
CPU time used                    :  00:00:06.59

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                  :   40.22
p-value of test                       :    0.71

-----------------------------------------------
CPU time used                    :  00:00:06.65

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                  :   28.79
p-value of test                       :    0.27

-----------------------------------------------
CPU time used                    :  00:00:03.50

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                  :    0.42
p-value of test                       :    0.98

-----------------------------------------------
CPU time used                    :  00:00:27.19

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                  :    6.03
p-value of test                       :    0.20

-----------------------------------------------
CPU time used                    :  00:00:31.59

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                  :    0.30
p-value of test                       :    0.96

-----------------------------------------------
CPU time used                    :  00:00:47.71

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                  :   13.71
p-value of test                       :  3.3e-3

-----------------------------------------------
CPU time used                    :  00:01:01.25

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                  :    2.01
p-value of test                       :    0.57

-----------------------------------------------
CPU time used                    :  00:01:07.07

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                  :    7.65
p-value of test                       :    0.05

-----------------------------------------------
CPU time used                    :  00:01:28.24

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                  :   12.30
p-value of test                       :    0.78

-----------------------------------------------
CPU time used                    :  00:00:05.82

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         : 2445.27
p-value of test                       :    0.61



-----------------------------------------------
CPU time used                    :  00:00:28.15

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         : 1518.70
p-value of test                       :    0.76



-----------------------------------------------
CPU time used                    :  00:00:08.01

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                   :   56.39
p-value of test                       :    0.14


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

Number of degrees of freedom          :   47
ChiSquare statistic                   :   48.20
p-value of test                       :    0.42


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

Number of degrees of freedom          :   45
ChiSquare statistic                   :   37.66
p-value of test                       :    0.77


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

Number of degrees of freedom          :   36
ChiSquare statistic                   :   25.75
p-value of test                       :    0.90


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

Number of degrees of freedom          :   23
ChiSquare statistic                   :   37.64
p-value of test                       :    0.03


-----------------------------------------------
CPU time used                    :  00:00:37.71

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                   :   51.02
p-value of test                       :    0.22


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

Number of degrees of freedom          :   45
ChiSquare statistic                   :   61.51
p-value of test                       :    0.05


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

Number of degrees of freedom          :   45
ChiSquare statistic                   :   45.17
p-value of test                       :    0.46


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

Number of degrees of freedom          :   35
ChiSquare statistic                   :   36.40
p-value of test                       :    0.40


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

Number of degrees of freedom          :   22
ChiSquare statistic                   :   16.87
p-value of test                       :    0.77


-----------------------------------------------
CPU time used                    :  00:00:08.98

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                   :  179.45
p-value of test                       :    0.01


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

Number of degrees of freedom          :  141
ChiSquare statistic                   :  148.29
p-value of test                       :    0.32


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

Number of degrees of freedom          :  500
ChiSquare statistic                   :  517.95
p-value of test                       :    0.28


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

Number of degrees of freedom          :  132
ChiSquare statistic                   :  139.02
p-value of test                       :    0.32


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

Number of degrees of freedom          :   72
ChiSquare statistic                   :   77.05
p-value of test                       :    0.32


-----------------------------------------------
CPU time used                    :  00:00:36.06

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                   :  133.75
p-value of test                       :    0.35


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

Number of degrees of freedom          :  130
ChiSquare statistic                   :  116.31
p-value of test                       :    0.80


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

Number of degrees of freedom          :  500
ChiSquare statistic                   :  539.34
p-value of test                       :    0.11


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

Number of degrees of freedom          :  122
ChiSquare statistic                   :  104.68
p-value of test                       :    0.87


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

Number of degrees of freedom          :   66
ChiSquare statistic                   :   55.56
p-value of test                       :    0.82


-----------------------------------------------
CPU time used                    :  00:00:08.25

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                   :  369.06
p-value of test                       :    0.45


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

Number of degrees of freedom          :  366
ChiSquare statistic                   :  350.80
p-value of test                       :    0.71


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

Number of degrees of freedom          : 5000
ChiSquare statistic                   : 4946.45
p-value of test                       :    0.70


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

Number of degrees of freedom          :  360
ChiSquare statistic                   :  369.19
p-value of test                       :    0.36


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

Number of degrees of freedom          :  192
ChiSquare statistic                   :  253.06
p-value of test                       :  2.1e-3


-----------------------------------------------
CPU time used                    :  00:00:33.50

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                   :  335.85
p-value of test                       :    0.24


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

Number of degrees of freedom          :  318
ChiSquare statistic                   :  274.01
p-value of test                       :    0.96


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

Number of degrees of freedom          : 5000
ChiSquare statistic                   : 5182.09
p-value of test                       :    0.04


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

Number of degrees of freedom          :  315
ChiSquare statistic                   :  295.62
p-value of test                       :    0.78


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

Number of degrees of freedom          :  169
ChiSquare statistic                   :  176.05
p-value of test                       :    0.34


-----------------------------------------------
CPU time used                    :  00:00:07.07

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      :    9.81
p-value of test                       :    0.46


-----------------------------------------------
Normal statistic for number of jumps  :   -1.82
p-value of test                       :    0.97



-----------------------------------------------
CPU time used                    :  00:00:19.01

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      :   11.40
p-value of test                       :    0.33


-----------------------------------------------
Normal statistic for number of jumps  :   -2.62
p-value of test                       :    0.9957



-----------------------------------------------
CPU time used                    :  00:00:18.80

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+    :    0.16
p-value of test                       :    0.54

Kolmogorov-Smirnov- statistic = D-    :    0.22
p-value of test                       :    0.34

Anderson-Darling statistic = A2       :    0.50
p-value of test                       :    0.74

Tests on the sum of all N observations
Standardized normal statistic         :    0.45
p-value of test                       :    0.33

Sample variance                       :    1.01
p-value of test                       :    0.43

-----------------------------------------------
CPU time used                    :  00:00:23.82

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+    : 3.80e-3
p-value of test                       :    0.89

Kolmogorov-Smirnov- statistic = D-    :   0.019
p-value of test                       :    0.05

Anderson-Darling statistic = A2       :    1.93
p-value of test                       :    0.10

-----------------------------------------------
CPU time used                    :  00:00:22.19

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+    : 8.37e-3
p-value of test                       :    0.56

Kolmogorov-Smirnov- statistic = D-    :   0.010
p-value of test                       :    0.42

Anderson-Darling statistic = A2       :    0.49
p-value of test                       :    0.76

-----------------------------------------------
CPU time used                    :  00:00:22.88

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                  :    4.70
p-value of test                       :    0.79

-----------------------------------------------
Global longest run of 1               :   31.00
p-value of test                       :    0.69



-----------------------------------------------
CPU time used                    :  00:01:23.07

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                  :    5.61
p-value of test                       :    0.59

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



-----------------------------------------------
CPU time used                    :  00:00:27.44

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                  :  325.58
p-value of test                       :    0.17

-----------------------------------------------
CPU time used                    :  00:00:21.25

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                  :   70.77
p-value of test                       :    0.09

-----------------------------------------------
CPU time used                    :  00:00:13.90

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+    :   0.028
p-value of test                       :    0.84

Kolmogorov-Smirnov- statistic = D-    :   0.055
p-value of test                       :    0.52

Anderson-Darling statistic = A2       :    0.42
p-value of test                       :    0.83

Test on the sum of all N observations
Number of degrees of freedom          : 10000
Chi-square statistic                  :10109.46
p-value of test                       :    0.22

-----------------------------------------------
CPU time used                    :  00:00:11.55

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+    :    0.11
p-value of test                       :    0.43

Kolmogorov-Smirnov- statistic = D-    :   0.040
p-value of test                       :    0.88

Anderson-Darling statistic = A2       :    0.65
p-value of test                       :    0.60

Test on the sum of all N observations
Number of degrees of freedom          : 3000
Chi-square statistic                  : 2916.29
p-value of test                       :    0.86

-----------------------------------------------
CPU time used                    :  00:00:07.07

Generator state:




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

32-bit stdin


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



-----------------------------------------------
Normal statistic                      :    0.95
p-value of test                       :    0.17

-----------------------------------------------
CPU time used                    :  00:00:18.67

Generator state:




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

32-bit stdin


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



-----------------------------------------------
Normal statistic                      :   -1.56
p-value of test                       :    0.94

-----------------------------------------------
CPU time used                    :  00:00:17.82

Generator state:




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

32-bit stdin


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



-----------------------------------------------
Normal statistic                      :    1.48
p-value of test                       :    0.07

-----------------------------------------------
CPU time used                    :  00:00:14.26

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                  :  599.01
p-value of test                       :    0.25

-----------------------------------------------
CPU time used                    :  00:00:21.59

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                  :  511.34
p-value of test                       :    0.74

-----------------------------------------------
CPU time used                    :  00:00:15.48

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                  : 3966.12
p-value of test                       :    0.95

-----------------------------------------------
CPU time used                    :  00:00:21.09

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                  : 3646.52
p-value of test                       :    0.23

-----------------------------------------------
CPU time used                    :  00:00:14.11

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                  :11681.80
p-value of test                       :    0.82

-----------------------------------------------
CPU time used                    :  00:00:26.73

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                  : 7567.64
p-value of test                       :    0.22

-----------------------------------------------
CPU time used                    :  00:00:05.76

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:  1000000004

Number of degrees of freedom          :   52
Chi2 statistic for number of runs     :   68.36
p-value of test                       :    0.06


-----------------------------------------------
Total number of bits:  4000061880

Normal statistic for number of bits   :    0.69
p-value of test                       :    0.24



-----------------------------------------------
CPU time used                    :  00:00:28.19

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:  1000000003

Number of degrees of freedom          :   52
Chi2 statistic for number of runs     :   48.34
p-value of test                       :    0.62


-----------------------------------------------
Total number of bits:  4000093120

Normal statistic for number of bits   :    1.04
p-value of test                       :    0.15



-----------------------------------------------
CPU time used                    :  00:00:32.92

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+    :    0.17
p-value of test                       :    0.51

Kolmogorov-Smirnov- statistic = D-    :   0.048
p-value of test                       :    0.93

Anderson-Darling statistic = A2       :    0.41
p-value of test                       :    0.84

Tests on the sum of all N observations
Standardized normal statistic         :   -0.73
p-value of test                       :    0.77

Sample variance                       :    0.82
p-value of test                       :    0.60

-----------------------------------------------
CPU time used                    :  00:00:26.88

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+    :    0.27
p-value of test                       :    0.41

Kolmogorov-Smirnov- statistic = D-    :    0.20
p-value of test                       :    0.58

Anderson-Darling statistic = A2       :    1.20
p-value of test                       :    0.26

Tests on the sum of all N observations
Standardized normal statistic         :    0.33
p-value of test                       :    0.37

Sample variance                       :    3.48
p-value of test                       :  7.6e-3

-----------------------------------------------
CPU time used                    :  00:00:35.23

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+    :    0.19
p-value of test                       :    0.44

Kolmogorov-Smirnov- statistic = D-    :    0.14
p-value of test                       :    0.62

Anderson-Darling statistic = A2       :    0.37
p-value of test                       :    0.87

Tests on the sum of all N observations
Standardized normal statistic         :  -0.091
p-value of test                       :    0.54

Sample variance                       :    1.16
p-value of test                       :    0.32

-----------------------------------------------
CPU time used                    :  00:00:24.34

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+    :    0.19
p-value of test                       :    0.63

Kolmogorov-Smirnov- statistic = D-    :    0.45
p-value of test                       :    0.10

Anderson-Darling statistic = A2       :    2.68
p-value of test                       :    0.04

Tests on the sum of all N observations
Standardized normal statistic         :    1.47
p-value of test                       :    0.07

Sample variance                       :    3.42
p-value of test                       :  8.4e-3

-----------------------------------------------
CPU time used                    :  00:00:31.09

Generator state:





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

 Version:          TestU01 1.2.3
 Generator:        32-bit stdin
 Number of statistics:  144
 Total CPU time:   00:44:33.36
 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                  7.2e-11
 42  MaxOft, t = 10                 2.7e-17
 43  MaxOft, t = 20                 1.4e-12
 44  MaxOft, t = 30                 1.1e-16
 46  SampleProd, t = 30              0.9999 
 ----------------------------------------------
 All other tests were passed



Total processed 32-bit samples = 33839072937