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

***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                       :    0.45


-----------------------------------------------
CPU time used                    :  00:00:32.81

Generator state:




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

***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                       :    0.78


-----------------------------------------------
CPU time used                    :  00:00:22.25

Generator state:




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

***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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         :      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                    :  00:00:37.37

Generator state:




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

***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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         :      446
p-value of test                       :    0.65

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

  j =  0                              :   10995016278206
  j =  1                              :         99999108
  j =  2                              :              446
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:00:35.84

Generator state:




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

***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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         :      437
p-value of test                       :    0.79

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

  j =  0                              :   10995016278197
  j =  1                              :         99999126
  j =  2                              :              437
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:00:54.56

Generator state:




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

***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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         :      438
p-value of test                       :    0.78

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

  j =  0                              :   10995016278198
  j =  1                              :         99999124
  j =  2                              :              438
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:00:46.46

Generator state:




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

***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                    :  00:00:53.35

Generator state:




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

***********************************************************
HOST = Noro, Linux

rng32_HLS_core


smultin_MultinomialOver test:
-----------------------------------------------
   N = 10,  n = 10000000,  r = 25,   d =   32,   t =  8,
       Sparse =   TRUE

       GenerCell = smultin_GenerCellSerial
       Number of cells = d^t =      1099511627776
       Expected number per cell =  1 /  109951.16
       EColl = n^2 / (2k) =  45.47473509
       Hashing =   TRUE

       Collision test

       CollisionOver:   density = n / k =  1 /  109951.16
       Expected number of collisions = Mu =      45.47


-----------------------------------------------
Results of CollisionOver test:

POISSON approximation                 :
Expected number of collisions = N*Mu  :      454.75
Observed number of collisions         :      441
p-value of test                       :    0.73

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

  j =  0                              :   10995016278201
  j =  1                              :         99999118
  j =  2                              :              441
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:00:51.87

Generator state:




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

***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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         :      485
p-value of test                       :    0.08

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

  j =  0                              :   10995016278245
  j =  1                              :         99999030
  j =  2                              :              485
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:00:55.27

Generator state:




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

***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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         :      405
p-value of test                       :    0.9905

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

  j =  0                              :   10995016278165
  j =  1                              :         99999190
  j =  2                              :              405
  j =  3                              :                0
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:00:52.45

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                 :    2095
p-value of test                       :    0.94


-----------------------------------------------
CPU time used                    :  00:00:20.55

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                 :    1061
p-value of test                       :    0.75


-----------------------------------------------
CPU time used                    :  00:00:21.36

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                 :     545
p-value of test                       :    0.46


-----------------------------------------------
CPU time used                    :  00:00:21.92

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                 :     643
p-value of test                       :    0.61


-----------------------------------------------
CPU time used                    :  00:00:14.36

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                 :     629
p-value of test                       :    0.79


-----------------------------------------------
CPU time used                    :  00:00:15.26

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                 :     352
p-value of test                       :    0.07


-----------------------------------------------
CPU time used                    :  00:00:15.16

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


smarsa_BirthdaySpacings test:
-----------------------------------------------
   N =  3,  n = 20000000,  r = 22,    d = 256,    t = 8,    p = 1


      Number of cells = d^t = 18446744073709551616
      Lambda = Poisson mean =     108.4202


----------------------------------------------------
Total expected number = N*Lambda      :     325.26
Total observed number                 :     316
p-value of test                       :    0.68


-----------------------------------------------
CPU time used                    :  00:00:14.88

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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)         :    0.30
p-value of test                       :    0.93


A2 test based on the spacings between the
   successive jump times of process Y_n(t):

A2 test on the values of A2 (m-NP)    :    1.76
p-value of test                       :    0.13

Test on the Nm values of W_{n,i}(mNP1):    0.82
p-value of test                       :    0.46

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

Expected number of jumps of Y = mN    :     300
Number of jumps of Y                  :     305
p-value of test                       :    0.39

Stat. AD (mNP2)                       :    0.62
p-value of test                       :    0.63

-----------------------------------------------
CPU time used                    :  00:00:08.47

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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)         :    0.77
p-value of test                       :    0.50


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)    :    0.80
p-value of test                       :    0.48

Test on the Nm values of W_{n,i}(mNP1):    0.68
p-value of test                       :    0.57

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

Expected number of jumps of Y = mN    :     300
Number of jumps of Y                  :     308
p-value of test                       :    0.33

Stat. AD (mNP2)                       :    0.20
p-value of test                       :    0.9902

Stat. AD after spacings (mNP2-S)      :    0.39
p-value of test                       :    0.86

-----------------------------------------------
CPU time used                    :  00:00:12.74

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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)         :    0.87
p-value of test                       :    0.42


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)    :    1.34
p-value of test                       :    0.22

Test on the Nm values of W_{n,i}(mNP1):    1.20
p-value of test                       :    0.27

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

Expected number of jumps of Y = mN    :     150
Number of jumps of Y                  :     133
p-value of test                       :    0.91

Stat. AD (mNP2)                       :    0.86
p-value of test                       :    0.44

Stat. AD after spacings (mNP2-S)      :    0.94
p-value of test                       :    0.39

-----------------------------------------------
CPU time used                    :  00:00:21.65

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Max of all bit distances              :   22.00
p-value of test                       :    0.37

-----------------------------------------------
CPU time used                    :  00:00:08.87

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Max of all bit distances              :   10.00
p-value of test                       :    0.60

-----------------------------------------------
CPU time used                    :  00:00:09.04

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :   12
Chi-square statistic                  :    9.74
p-value of test                       :    0.64

-----------------------------------------------
CPU time used                    :  00:00:07.92

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :   12
Chi-square statistic                  :    8.50
p-value of test                       :    0.75

-----------------------------------------------
CPU time used                    :  00:00:09.88

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :   23
Chi-square statistic                  :   23.26
p-value of test                       :    0.45

-----------------------------------------------
CPU time used                    :  00:00:07.70

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :   23
Chi-square statistic                  :   18.97
p-value of test                       :    0.70

-----------------------------------------------
CPU time used                    :  00:00:09.70

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :   51
Chi-square statistic                  :   51.72
p-value of test                       :    0.45

-----------------------------------------------
CPU time used                    :  00:00:04.12

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :   51
Chi-square statistic                  :   72.09
p-value of test                       :    0.03

-----------------------------------------------
CPU time used                    :  00:00:05.04

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :   46
Chi-square statistic                  :   60.14
p-value of test                       :    0.08

-----------------------------------------------
CPU time used                    :  00:00:05.54

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :   46
Chi-square statistic                  :   40.81
p-value of test                       :    0.69

-----------------------------------------------
CPU time used                    :  00:00:06.39

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :  106
Chi-square statistic                  :  129.89
p-value of test                       :    0.06

-----------------------------------------------
CPU time used                    :  00:00:06.30

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :  106
Chi-square statistic                  :   98.51
p-value of test                       :    0.68

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

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          : 1936
Chi-square statistic                  : 1963.38
p-value of test                       :    0.33

-----------------------------------------------
CPU time used                    :  00:00:08.00

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          : 1936
Chi-square statistic                  : 1943.97
p-value of test                       :    0.44

-----------------------------------------------
CPU time used                    :  00:00:09.75

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :    6
Chi-square statistic                  :    5.84
p-value of test                       :    0.44

-----------------------------------------------
CPU time used                    :  00:00:04.88

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :    6
Chi-square statistic                  :    4.24
p-value of test                       :    0.64

-----------------------------------------------
CPU time used                    :  00:00:06.45

Generator state:




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

***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                       :    0.52


-----------------------------------------------
CPU time used                    :  00:00:13.17

Generator state:




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

***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                       :    0.86


-----------------------------------------------
CPU time used                    :  00:00:14.16

Generator state:




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

***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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         :    40081
p-value of test                       :    0.59


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

  j =  0                              :      31085144081
  j =  1                              :         49919853
  j =  2                              :            40051
  j =  3                              :               15
  j =  4                              :                0
  j =  5                              :                0

-----------------------------------------------
CPU time used                    :  00:00:28.00

Generator state:




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

***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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         :    40199
p-value of test                       :    0.36


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

  j =  0                              :      31085144199
  j =  1                              :         49919619
  j =  2                              :            40165
  j =  3                              :               17
  j =  4                              :                0
  j =  5                              :                0

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

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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+    :    0.19
p-value of test                       :    0.43

Kolmogorov-Smirnov- statistic = D-    :    0.16
p-value of test                       :    0.54

Anderson-Darling statistic = A2       :    0.39
p-value of test                       :    0.86

Test on the sum of all N observations
Number of degrees of freedom          : 999990
Chi-square statistic                  : 1.00e+6
p-value of test                       :    0.50


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

Kolmogorov-Smirnov+ statistic = D+    :    0.11
p-value of test                       :    0.75

Kolmogorov-Smirnov- statistic = D-    :    0.31
p-value of test                       :    0.12

Anderson-Darling statistic = A2       :    0.92
p-value of test                       :    0.40


-----------------------------------------------
CPU time used                    :  00:00:18.22

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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+    :    0.21
p-value of test                       :    0.56

Kolmogorov-Smirnov- statistic = D-    :    0.26
p-value of test                       :    0.44

Anderson-Darling statistic = A2       :    0.46
p-value of test                       :    0.78

Test on the sum of all N observations
Number of degrees of freedom          : 499995
Chi-square statistic                  : 5.00e+5
p-value of test                       :    0.37


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

Kolmogorov-Smirnov+ statistic = D+    :    0.15
p-value of test                       :    0.75

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

Anderson-Darling statistic = A2       :    0.36
p-value of test                       :    0.89


-----------------------------------------------
CPU time used                    :  00:00:10.45

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                  :99955.02
p-value of test                       :    0.54


-----------------------------------------------
Anderson-Darling statistic            :    0.69
p-value of test                       :    0.31


-----------------------------------------------
CPU time used                    :  00:00:02.67

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


sknuth_MaxOft test:
-----------------------------------------------
   N =  1,  n = 10000000,  r =  0,   d = 100000,   t = 30

      Number of categories = 100000
      Expected number per category  = 100.00


-----------------------------------------------
Number of degrees of freedom          : 99999
Chi-square statistic                  : 1.00e+5
p-value of test                       :    0.36


-----------------------------------------------
Anderson-Darling statistic            :    0.74
p-value of test                       :    0.26


-----------------------------------------------
CPU time used                    :  00:00:03.20

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Anderson-Darling statistic            :    0.43
p-value of test                       :    0.57

-----------------------------------------------
CPU time used                    :  00:00:01.76

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Anderson-Darling statistic            :    0.62
p-value of test                       :    0.38

-----------------------------------------------
CPU time used                    :  00:00:03.19

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


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

Kolmogorov-Smirnov+ statistic = D+    : 2.00e-4
p-value of test                       :    0.45

Kolmogorov-Smirnov- statistic = D-    : 1.18e-4
p-value of test                       :    0.76

Anderson-Darling statistic = A2       :    0.51
p-value of test                       :    0.74

-----------------------------------------------
CPU time used                    :  00:00:03.83

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Normal statistic                      :    1.76
p-value of test                       :    0.04

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

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                      :   -1.28
p-value of test                       :    0.90

-----------------------------------------------
CPU time used                    :  00:00:07.28

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                      :   -0.69
p-value of test                       :    0.75

-----------------------------------------------
CPU time used                    :  00:00:02.37

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                  :   56.72
p-value of test                       :    0.13

-----------------------------------------------
CPU time used                    :  00:00:03.02

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                  :   28.76
p-value of test                       :    0.98

-----------------------------------------------
CPU time used                    :  00:00:03.70

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                  :   59.89
p-value of test                       :    0.08

-----------------------------------------------
CPU time used                    :  00:00:03.70

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                  :   26.21
p-value of test                       :    0.9917

-----------------------------------------------
CPU time used                    :  00:00:03.76

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :   25
Chi-square statistic                  :   18.53
p-value of test                       :    0.82

-----------------------------------------------
CPU time used                    :  00:00:02.51

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :    4
Chi-square statistic                  :    0.84
p-value of test                       :    0.93

-----------------------------------------------
CPU time used                    :  00:00:15.33

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :    4
Chi-square statistic                  :    9.79
p-value of test                       :    0.04

-----------------------------------------------
CPU time used                    :  00:00:17.52

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :    3
Chi-square statistic                  :    1.04
p-value of test                       :    0.79

-----------------------------------------------
CPU time used                    :  00:00:26.11

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :    3
Chi-square statistic                  :    2.38
p-value of test                       :    0.50

-----------------------------------------------
CPU time used                    :  00:00:31.50

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :    3
Chi-square statistic                  :    0.91
p-value of test                       :    0.82

-----------------------------------------------
CPU time used                    :  00:00:31.15

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :    3
Chi-square statistic                  :    2.26
p-value of test                       :    0.52

-----------------------------------------------
CPU time used                    :  00:00:39.78

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :   17
Chi-square statistic                  :   22.64
p-value of test                       :    0.16

-----------------------------------------------
CPU time used                    :  00:00:03.57

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          : 2465
Chi2 statistic for GCD values         : 2503.81
p-value of test                       :    0.29



-----------------------------------------------
CPU time used                    :  00:00:17.53

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          : 1559
Chi2 statistic for GCD values         : 1593.59
p-value of test                       :    0.27



-----------------------------------------------
CPU time used                    :  00:00:05.00

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                   :   55.83
p-value of test                       :    0.15


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

Number of degrees of freedom          :   47
ChiSquare statistic                   :   50.06
p-value of test                       :    0.35


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

Number of degrees of freedom          :   45
ChiSquare statistic                   :   35.62
p-value of test                       :    0.84


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

Number of degrees of freedom          :   36
ChiSquare statistic                   :   37.16
p-value of test                       :    0.42


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

Number of degrees of freedom          :   23
ChiSquare statistic                   :   32.14
p-value of test                       :    0.10


-----------------------------------------------
CPU time used                    :  00:00:17.74

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                   :   42.04
p-value of test                       :    0.56


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

Number of degrees of freedom          :   45
ChiSquare statistic                   :   42.98
p-value of test                       :    0.56


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

Number of degrees of freedom          :   45
ChiSquare statistic                   :   38.48
p-value of test                       :    0.74


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

Number of degrees of freedom          :   35
ChiSquare statistic                   :   27.82
p-value of test                       :    0.80


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

Number of degrees of freedom          :   22
ChiSquare statistic                   :   24.60
p-value of test                       :    0.32


-----------------------------------------------
CPU time used                    :  00:00:04.16

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                   :  150.08
p-value of test                       :    0.26


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

Number of degrees of freedom          :  141
ChiSquare statistic                   :  115.64
p-value of test                       :    0.94


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

Number of degrees of freedom          :  500
ChiSquare statistic                   :  492.56
p-value of test                       :    0.59


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

Number of degrees of freedom          :  132
ChiSquare statistic                   :  146.89
p-value of test                       :    0.18


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

Number of degrees of freedom          :   72
ChiSquare statistic                   :   55.21
p-value of test                       :    0.93


-----------------------------------------------
CPU time used                    :  00:00:15.30

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                   :  124.50
p-value of test                       :    0.57


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

Number of degrees of freedom          :  130
ChiSquare statistic                   :  144.11
p-value of test                       :    0.19


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

Number of degrees of freedom          :  500
ChiSquare statistic                   :  510.68
p-value of test                       :    0.36


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

Number of degrees of freedom          :  122
ChiSquare statistic                   :  101.25
p-value of test                       :    0.91


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

Number of degrees of freedom          :   66
ChiSquare statistic                   :   75.60
p-value of test                       :    0.20


-----------------------------------------------
CPU time used                    :  00:00:03.56

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                   :  359.05
p-value of test                       :    0.59


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

Number of degrees of freedom          :  366
ChiSquare statistic                   :  361.46
p-value of test                       :    0.56


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

Number of degrees of freedom          : 5000
ChiSquare statistic                   : 5115.26
p-value of test                       :    0.12


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

Number of degrees of freedom          :  360
ChiSquare statistic                   :  353.55
p-value of test                       :    0.59


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

Number of degrees of freedom          :  192
ChiSquare statistic                   :  204.49
p-value of test                       :    0.26


-----------------------------------------------
CPU time used                    :  00:00:13.54

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


swalk_RandomWalk1 test:
-----------------------------------------------
   N =  1,  n = 100000,  r = 20,   s = 10,   L0 = 10000,   L1 = 10000



-----------------------------------------------
Test on the values of the Statistic H

Number of degrees of freedom          :  318
ChiSquare statistic                   :  323.24
p-value of test                       :    0.41


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

Number of degrees of freedom          :  318
ChiSquare statistic                   :  288.66
p-value of test                       :    0.88


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

Number of degrees of freedom          : 5000
ChiSquare statistic                   : 5044.60
p-value of test                       :    0.33


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

Number of degrees of freedom          :  315
ChiSquare statistic                   :  307.04
p-value of test                       :    0.62


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

Number of degrees of freedom          :  169
ChiSquare statistic                   :  166.65
p-value of test                       :    0.54


-----------------------------------------------
CPU time used                    :  00:00:03.18

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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



-----------------------------------------------
Number of degrees of freedom          :   10
Chi2 statistic for size of jumps      :    8.77
p-value of test                       :    0.55


-----------------------------------------------
Normal statistic for number of jumps  :   -0.64
p-value of test                       :    0.74



-----------------------------------------------
CPU time used                    :  00:00:09.28

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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



-----------------------------------------------
Number of degrees of freedom          :   10
Chi2 statistic for size of jumps      :   14.38
p-value of test                       :    0.16


-----------------------------------------------
Normal statistic for number of jumps  :   -0.92
p-value of test                       :    0.82



-----------------------------------------------
CPU time used                    :  00:00:09.29

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


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

Kolmogorov-Smirnov+ statistic = D+    :    0.20
p-value of test                       :    0.39

Kolmogorov-Smirnov- statistic = D-    :    0.27
p-value of test                       :    0.21

Anderson-Darling statistic = A2       :    1.13
p-value of test                       :    0.29

Tests on the sum of all N observations
Standardized normal statistic         :    0.55
p-value of test                       :    0.29

Sample variance                       :    0.24
p-value of test                       :    0.99

-----------------------------------------------
CPU time used                    :  00:00:13.66

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


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

Kolmogorov-Smirnov+ statistic = D+    :   0.017
p-value of test                       :    0.09

Kolmogorov-Smirnov- statistic = D-    : 5.69e-3
p-value of test                       :    0.76

Anderson-Darling statistic = A2       :    1.17
p-value of test                       :    0.28

-----------------------------------------------
CPU time used                    :  00:00:13.74

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


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

Kolmogorov-Smirnov+ statistic = D+    : 4.12e-3
p-value of test                       :    0.87

Kolmogorov-Smirnov- statistic = D-    :   0.015
p-value of test                       :    0.17

Anderson-Darling statistic = A2       :    0.68
p-value of test                       :    0.58

-----------------------------------------------
CPU time used                    :  00:00:14.31

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :    8
Chi-square statistic                  :    7.28
p-value of test                       :    0.51

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



-----------------------------------------------
CPU time used                    :  00:00:44.01

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :    7
Chi-square statistic                  :    4.84
p-value of test                       :    0.68

-----------------------------------------------
Global longest run of 1               :   33.00
p-value of test                       :    0.16



-----------------------------------------------
CPU time used                    :  00:00:15.63

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :  302
Chi-square statistic                  :  287.44
p-value of test                       :    0.72

-----------------------------------------------
CPU time used                    :  00:00:11.50

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


-----------------------------------------------
Number of degrees of freedom          :   56
Chi-square statistic                  :   38.81
p-value of test                       :    0.96

-----------------------------------------------
CPU time used                    :  00:00:07.77

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


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

Kolmogorov-Smirnov+ statistic = D+    :   0.041
p-value of test                       :    0.69

Kolmogorov-Smirnov- statistic = D-    :   0.051
p-value of test                       :    0.57

Anderson-Darling statistic = A2       :    0.34
p-value of test                       :    0.90

Test on the sum of all N observations
Number of degrees of freedom          : 10000
Chi-square statistic                  : 9953.87
p-value of test                       :    0.63

-----------------------------------------------
CPU time used                    :  00:00:06.71

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


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

Kolmogorov-Smirnov+ statistic = D+    :    0.27
p-value of test                       :  9.4e-3

Kolmogorov-Smirnov- statistic = D-    :   0.066
p-value of test                       :    0.74

Anderson-Darling statistic = A2       :    2.41
p-value of test                       :    0.06

Test on the sum of all N observations
Number of degrees of freedom          : 3000
Chi-square statistic                  : 2861.81
p-value of test                       :    0.96

-----------------------------------------------
CPU time used                    :  00:00:04.60

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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



-----------------------------------------------
Normal statistic                      :    0.89
p-value of test                       :    0.19

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

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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



-----------------------------------------------
Normal statistic                      :   -0.55
p-value of test                       :    0.71

-----------------------------------------------
CPU time used                    :  00:00:10.31

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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



-----------------------------------------------
Normal statistic                      :    0.33
p-value of test                       :    0.37

-----------------------------------------------
CPU time used                    :  00:00:08.00

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                  :  601.87
p-value of test                       :    0.23

-----------------------------------------------
CPU time used                    :  00:00:12.65

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                  :  502.48
p-value of test                       :    0.82

-----------------------------------------------
CPU time used                    :  00:00:10.23

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                  : 4127.36
p-value of test                       :    0.45

-----------------------------------------------
CPU time used                    :  00:00:12.43

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                  : 3595.91
p-value of test                       :    0.45

-----------------------------------------------
CPU time used                    :  00:00:09.30

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                  :11652.81
p-value of test                       :    0.87

-----------------------------------------------
CPU time used                    :  00:00:16.19

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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                  : 7502.38
p-value of test                       :    0.40

-----------------------------------------------
CPU time used                    :  00:00:03.68

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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     :   45.81
p-value of test                       :    0.71


-----------------------------------------------
Total number of bits:  3999995340

Normal statistic for number of bits   :  -0.052
p-value of test                       :    0.52



-----------------------------------------------
CPU time used                    :  00:00:17.33

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


sstring_Run test:
-----------------------------------------------
   N =  1,  n = 1000000000,  r = 20,   s =   10


-----------------------------------------------
Total number of 1 runs:  1000000000

Number of degrees of freedom          :   52
Chi2 statistic for number of runs     :   58.69
p-value of test                       :    0.24


-----------------------------------------------
Total number of bits:  3999945030

Normal statistic for number of bits   :   -0.61
p-value of test                       :    0.73



-----------------------------------------------
CPU time used                    :  00:00:21.81

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


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

Kolmogorov-Smirnov+ statistic = D+    :   0.061
p-value of test                       :    0.89

Kolmogorov-Smirnov- statistic = D-    :    0.21
p-value of test                       :    0.35

Anderson-Darling statistic = A2       :    0.52
p-value of test                       :    0.72

Tests on the sum of all N observations
Standardized normal statistic         :    0.83
p-value of test                       :    0.20

Sample variance                       :    0.95
p-value of test                       :    0.48

-----------------------------------------------
CPU time used                    :  00:00:15.28

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


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

Kolmogorov-Smirnov+ statistic = D+    :    0.63
p-value of test                       :    0.01

Kolmogorov-Smirnov- statistic = D-    :    0.16
p-value of test                       :    0.71

Anderson-Darling statistic = A2       :    3.20
p-value of test                       :    0.02

Tests on the sum of all N observations
Standardized normal statistic         :   -1.68
p-value of test                       :    0.95

Sample variance                       :    2.02
p-value of test                       :    0.09

-----------------------------------------------
CPU time used                    :  00:00:19.97

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


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

Kolmogorov-Smirnov+ statistic = D+    :    0.40
p-value of test                       :    0.03

Kolmogorov-Smirnov- statistic = D-    :   0.085
p-value of test                       :    0.82

Anderson-Darling statistic = A2       :    1.75
p-value of test                       :    0.13

Tests on the sum of all N observations
Standardized normal statistic         :   -1.33
p-value of test                       :    0.91

Sample variance                       :    0.35
p-value of test                       :    0.96

-----------------------------------------------
CPU time used                    :  00:00:13.47

Generator state:




***********************************************************
HOST = Noro, Linux

rng32_HLS_core


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


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

Kolmogorov-Smirnov+ statistic = D+    :    0.44
p-value of test                       :    0.10

Kolmogorov-Smirnov- statistic = D-    :    0.20
p-value of test                       :    0.60

Anderson-Darling statistic = A2       :    0.82
p-value of test                       :    0.46

Tests on the sum of all N observations
Standardized normal statistic         :   -0.39
p-value of test                       :    0.65

Sample variance                       :    0.82
p-value of test                       :    0.51

-----------------------------------------------
CPU time used                    :  00:00:17.20

Generator state:





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

 Version:          TestU01 1.2.3
 Generator:        rng32_HLS_core
 Number of statistics:  144
 Total CPU time:   00:24:35.90

 All tests were passed



